|\^/| Maple 12 (IBM INTEL LINUX)
._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2008
\ MAPLE / All rights reserved. Maple is a trademark of
<____ ____> Waterloo Maple Inc.
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> #BEGIN OUTFILE1
> # Begin Function number 3
> check_sign := proc( x0 ,xf)
> local ret;
> if (xf > x0) then # if number 1
> ret := 1.0;
> else
> ret := -1.0;
> fi;# end if 1;
> ret;;
> end;
check_sign := proc(x0, xf)
local ret;
if x0 < xf then ret := 1.0 else ret := -1.0 end if; ret
end proc
> # End Function number 3
> # Begin Function number 4
> est_size_answer := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local min_size;
> min_size := glob_large_float;
> if (omniabs(array_y[1]) < min_size) then # if number 1
> min_size := omniabs(array_y[1]);
> omniout_float(ALWAYS,"min_size",32,min_size,32,"");
> fi;# end if 1;
> if (min_size < 1.0) then # if number 1
> min_size := 1.0;
> omniout_float(ALWAYS,"min_size",32,min_size,32,"");
> fi;# end if 1;
> min_size;
> end;
est_size_answer := proc()
local min_size;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_3D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_g, array_tmp3, array_tmp4, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
min_size := glob_large_float;
if omniabs(array_y[1]) < min_size then
min_size := omniabs(array_y[1]);
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")
end if;
if min_size < 1.0 then
min_size := 1.0;
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")
end if;
min_size
end proc
> # End Function number 4
> # Begin Function number 5
> test_suggested_h := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local max_value3,hn_div_ho,hn_div_ho_2,hn_div_ho_3,value3,no_terms;
> max_value3 := 0.0;
> no_terms := glob_max_terms;
> hn_div_ho := 0.5;
> hn_div_ho_2 := 0.25;
> hn_div_ho_3 := 0.125;
> omniout_float(ALWAYS,"hn_div_ho",32,hn_div_ho,32,"");
> omniout_float(ALWAYS,"hn_div_ho_2",32,hn_div_ho_2,32,"");
> omniout_float(ALWAYS,"hn_div_ho_3",32,hn_div_ho_3,32,"");
> value3 := omniabs(array_y[no_terms-3] + array_y[no_terms - 2] * hn_div_ho + array_y[no_terms - 1] * hn_div_ho_2 + array_y[no_terms] * hn_div_ho_3);
> if (value3 > max_value3) then # if number 1
> max_value3 := value3;
> omniout_float(ALWAYS,"value3",32,value3,32,"");
> fi;# end if 1;
> omniout_float(ALWAYS,"max_value3",32,max_value3,32,"");
> max_value3;
> end;
test_suggested_h := proc()
local max_value3, hn_div_ho, hn_div_ho_2, hn_div_ho_3, value3, no_terms;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_3D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_g, array_tmp3, array_tmp4, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
max_value3 := 0.;
no_terms := glob_max_terms;
hn_div_ho := 0.5;
hn_div_ho_2 := 0.25;
hn_div_ho_3 := 0.125;
omniout_float(ALWAYS, "hn_div_ho", 32, hn_div_ho, 32, "");
omniout_float(ALWAYS, "hn_div_ho_2", 32, hn_div_ho_2, 32, "");
omniout_float(ALWAYS, "hn_div_ho_3", 32, hn_div_ho_3, 32, "");
value3 := omniabs(array_y[no_terms - 3]
+ array_y[no_terms - 2]*hn_div_ho
+ array_y[no_terms - 1]*hn_div_ho_2
+ array_y[no_terms]*hn_div_ho_3);
if max_value3 < value3 then
max_value3 := value3;
omniout_float(ALWAYS, "value3", 32, value3, 32, "")
end if;
omniout_float(ALWAYS, "max_value3", 32, max_value3, 32, "");
max_value3
end proc
> # End Function number 5
> # Begin Function number 6
> reached_interval := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local ret;
> if (glob_check_sign * (array_x[1]) >= glob_check_sign * glob_next_display) then # if number 1
> ret := true;
> else
> ret := false;
> fi;# end if 1;
> return(ret);
> end;
reached_interval := proc()
local ret;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_3D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_g, array_tmp3, array_tmp4, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
if glob_check_sign*glob_next_display <= glob_check_sign*array_x[1] then
ret := true
else ret := false
end if;
return ret
end proc
> # End Function number 6
> # Begin Function number 7
> display_alot := proc(iter)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
> #TOP DISPLAY ALOT
> if (reached_interval()) then # if number 1
> if (iter >= 0) then # if number 2
> ind_var := array_x[1];
> omniout_float(ALWAYS,"x[1] ",33,ind_var,20," ");
> analytic_val_y := exact_soln_y(ind_var);
> omniout_float(ALWAYS,"y[1] (analytic) ",33,analytic_val_y,20," ");
> term_no := 1;
> numeric_val := array_y[term_no];
> abserr := omniabs(numeric_val - analytic_val_y);
> omniout_float(ALWAYS,"y[1] (numeric) ",33,numeric_val,20," ");
> if (omniabs(analytic_val_y) <> 0.0) then # if number 3
> relerr := abserr*100.0/omniabs(analytic_val_y);
> if (relerr > 0.0000000000000000000000000000000001) then # if number 4
> glob_good_digits := -trunc(log10(relerr)) + 2;
> else
> glob_good_digits := Digits;
> fi;# end if 4;
> else
> relerr := -1.0 ;
> glob_good_digits := -1;
> fi;# end if 3;
> if (glob_iter = 1) then # if number 3
> array_1st_rel_error[1] := relerr;
> else
> array_last_rel_error[1] := relerr;
> fi;# end if 3;
> omniout_float(ALWAYS,"absolute error ",4,abserr,20," ");
> omniout_float(ALWAYS,"relative error ",4,relerr,20,"%");
> omniout_int(INFO,"Correct digits ",32,glob_good_digits,4," ")
> ;
> omniout_float(ALWAYS,"h ",4,glob_h,20," ");
> fi;# end if 2;
> #BOTTOM DISPLAY ALOT
> fi;# end if 1;
> end;
display_alot := proc(iter)
local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_3D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_g, array_tmp3, array_tmp4, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
if reached_interval() then
if 0 <= iter then
ind_var := array_x[1];
omniout_float(ALWAYS, "x[1] ", 33,
ind_var, 20, " ");
analytic_val_y := exact_soln_y(ind_var);
omniout_float(ALWAYS, "y[1] (analytic) ", 33,
analytic_val_y, 20, " ");
term_no := 1;
numeric_val := array_y[term_no];
abserr := omniabs(numeric_val - analytic_val_y);
omniout_float(ALWAYS, "y[1] (numeric) ", 33,
numeric_val, 20, " ");
if omniabs(analytic_val_y) <> 0. then
relerr := abserr*100.0/omniabs(analytic_val_y);
if 0.1*10^(-33) < relerr then
glob_good_digits := -trunc(log10(relerr)) + 2
else glob_good_digits := Digits
end if
else relerr := -1.0; glob_good_digits := -1
end if;
if glob_iter = 1 then array_1st_rel_error[1] := relerr
else array_last_rel_error[1] := relerr
end if;
omniout_float(ALWAYS, "absolute error ", 4,
abserr, 20, " ");
omniout_float(ALWAYS, "relative error ", 4,
relerr, 20, "%");
omniout_int(INFO, "Correct digits ", 32,
glob_good_digits, 4, " ");
omniout_float(ALWAYS, "h ", 4,
glob_h, 20, " ")
end if
end if
end proc
> # End Function number 7
> # Begin Function number 8
> adjust_for_pole := proc(h_param)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local hnew, sz2, tmp;
> #TOP ADJUST FOR POLE
> hnew := h_param;
> glob_normmax := glob_small_float;
> if (omniabs(array_y_higher[1,1]) > glob_small_float) then # if number 1
> tmp := omniabs(array_y_higher[1,1]);
> if (tmp < glob_normmax) then # if number 2
> glob_normmax := tmp;
> fi;# end if 2
> fi;# end if 1;
> if (glob_look_poles and (omniabs(array_pole[1]) > glob_small_float) and (array_pole[1] <> glob_large_float)) then # if number 1
> sz2 := array_pole[1]/10.0;
> if (sz2 < hnew) then # if number 2
> omniout_float(INFO,"glob_h adjusted to ",20,h_param,12,"due to singularity.");
> omniout_str(INFO,"Reached Optimal");
> return(hnew);
> fi;# end if 2
> fi;# end if 1;
> if ( not glob_reached_optimal_h) then # if number 1
> glob_reached_optimal_h := true;
> glob_curr_iter_when_opt := glob_current_iter;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> glob_optimal_start := array_x[1];
> fi;# end if 1;
> hnew := sz2;
> ;#END block
> return(hnew);
> #BOTTOM ADJUST FOR POLE
> end;
adjust_for_pole := proc(h_param)
local hnew, sz2, tmp;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_3D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_g, array_tmp3, array_tmp4, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
hnew := h_param;
glob_normmax := glob_small_float;
if glob_small_float < omniabs(array_y_higher[1, 1]) then
tmp := omniabs(array_y_higher[1, 1]);
if tmp < glob_normmax then glob_normmax := tmp end if
end if;
if glob_look_poles and glob_small_float < omniabs(array_pole[1]) and
array_pole[1] <> glob_large_float then
sz2 := array_pole[1]/10.0;
if sz2 < hnew then
omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12,
"due to singularity.");
omniout_str(INFO, "Reached Optimal");
return hnew
end if
end if;
if not glob_reached_optimal_h then
glob_reached_optimal_h := true;
glob_curr_iter_when_opt := glob_current_iter;
glob_optimal_clock_start_sec := elapsed_time_seconds();
glob_optimal_start := array_x[1]
end if;
hnew := sz2;
return hnew
end proc
> # End Function number 8
> # Begin Function number 9
> prog_report := proc(x_start,x_end)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec;
> #TOP PROGRESS REPORT
> clock_sec1 := elapsed_time_seconds();
> total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec);
> glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec);
> left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1);
> expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h) ,convfloat( clock_sec1) - convfloat(glob_orig_start_sec));
> opt_clock_sec := convfloat( clock_sec1) - convfloat(glob_optimal_clock_start_sec);
> glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) +convfloat( glob_h) ,convfloat( opt_clock_sec));
> glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec;
> percent_done := comp_percent(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h));
> glob_percent_done := percent_done;
> omniout_str_noeol(INFO,"Total Elapsed Time ");
> omniout_timestr(convfloat(total_clock_sec));
> omniout_str_noeol(INFO,"Elapsed Time(since restart) ");
> omniout_timestr(convfloat(glob_clock_sec));
> if (convfloat(percent_done) < convfloat(100.0)) then # if number 1
> omniout_str_noeol(INFO,"Expected Time Remaining ");
> omniout_timestr(convfloat(expect_sec));
> omniout_str_noeol(INFO,"Optimized Time Remaining ");
> omniout_timestr(convfloat(glob_optimal_expect_sec));
> omniout_str_noeol(INFO,"Expected Total Time ");
> omniout_timestr(convfloat(glob_total_exp_sec));
> fi;# end if 1;
> omniout_str_noeol(INFO,"Time to Timeout ");
> omniout_timestr(convfloat(left_sec));
> omniout_float(INFO, "Percent Done ",33,percent_done,4,"%");
> #BOTTOM PROGRESS REPORT
> end;
prog_report := proc(x_start, x_end)
local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec,
percent_done, total_clock_sec;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_3D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_g, array_tmp3, array_tmp4, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
clock_sec1 := elapsed_time_seconds();
total_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_orig_start_sec);
glob_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_clock_start_sec);
left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec)
- convfloat(clock_sec1);
expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start),
convfloat(array_x[1]) + convfloat(glob_h),
convfloat(clock_sec1) - convfloat(glob_orig_start_sec));
opt_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec);
glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),
convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h),
convfloat(opt_clock_sec));
glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec;
percent_done := comp_percent(convfloat(x_end), convfloat(x_start),
convfloat(array_x[1]) + convfloat(glob_h));
glob_percent_done := percent_done;
omniout_str_noeol(INFO, "Total Elapsed Time ");
omniout_timestr(convfloat(total_clock_sec));
omniout_str_noeol(INFO, "Elapsed Time(since restart) ");
omniout_timestr(convfloat(glob_clock_sec));
if convfloat(percent_done) < convfloat(100.0) then
omniout_str_noeol(INFO, "Expected Time Remaining ");
omniout_timestr(convfloat(expect_sec));
omniout_str_noeol(INFO, "Optimized Time Remaining ");
omniout_timestr(convfloat(glob_optimal_expect_sec));
omniout_str_noeol(INFO, "Expected Total Time ");
omniout_timestr(convfloat(glob_total_exp_sec))
end if;
omniout_str_noeol(INFO, "Time to Timeout ");
omniout_timestr(convfloat(left_sec));
omniout_float(INFO, "Percent Done ", 33,
percent_done, 4, "%")
end proc
> # End Function number 9
> # Begin Function number 10
> check_for_pole := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found, h_new, ratio, term;
> #TOP CHECK FOR POLE
> #IN RADII REAL EQ = 1
> #Computes radius of convergence and r_order of pole from 3 adjacent Taylor series terms. EQUATUON NUMBER 1
> #Applies to pole of arbitrary r_order on the real axis,
> #Due to Prof. George Corliss.
> n := glob_max_terms;
> m := n - 1 - 1;
> while ((m >= 10) and ((omniabs(array_y_higher[1,m]) < glob_small_float) or (omniabs(array_y_higher[1,m-1]) < glob_small_float) or (omniabs(array_y_higher[1,m-2]) < glob_small_float ))) do # do number 2
> m := m - 1;
> od;# end do number 2;
> if (m > 10) then # if number 1
> rm0 := array_y_higher[1,m]/array_y_higher[1,m-1];
> rm1 := array_y_higher[1,m-1]/array_y_higher[1,m-2];
> hdrc := convfloat(m-1)*rm0-convfloat(m-2)*rm1;
> if (omniabs(hdrc) > glob_small_float) then # if number 2
> rcs := glob_h/hdrc;
> ord_no := convfloat(m-1)*rm0/hdrc - convfloat(m) + 2.0;
> array_real_pole[1,1] := rcs;
> array_real_pole[1,2] := ord_no;
> else
> array_real_pole[1,1] := glob_large_float;
> array_real_pole[1,2] := glob_large_float;
> fi;# end if 2
> else
> array_real_pole[1,1] := glob_large_float;
> array_real_pole[1,2] := glob_large_float;
> fi;# end if 1;
> #BOTTOM RADII REAL EQ = 1
> #TOP RADII COMPLEX EQ = 1
> #Computes radius of convergence for complex conjugate pair of poles.
> #from 6 adjacent Taylor series terms
> #Also computes r_order of poles.
> #Due to Manuel Prieto.
> #With a correction by Dennis J. Darland
> n := glob_max_terms - 1 - 1;
> cnt := 0;
> while ((cnt < 5) and (n >= 10)) do # do number 2
> if (omniabs(array_y_higher[1,n]) > glob_small_float) then # if number 1
> cnt := cnt + 1;
> else
> cnt := 0;
> fi;# end if 1;
> n := n - 1;
> od;# end do number 2;
> m := n + cnt;
> if (m <= 10) then # if number 1
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> elif
> (((omniabs(array_y_higher[1,m]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-1]) >=(glob_large_float)) or (omniabs(array_y_higher[1,m-2]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-3]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-4]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-5]) >= (glob_large_float))) or ((omniabs(array_y_higher[1,m]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-1]) <=(glob_small_float)) or (omniabs(array_y_higher[1,m-2]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-3]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-4]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-5]) <= (glob_small_float)))) then # if number 2
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> else
> rm0 := (array_y_higher[1,m])/(array_y_higher[1,m-1]);
> rm1 := (array_y_higher[1,m-1])/(array_y_higher[1,m-2]);
> rm2 := (array_y_higher[1,m-2])/(array_y_higher[1,m-3]);
> rm3 := (array_y_higher[1,m-3])/(array_y_higher[1,m-4]);
> rm4 := (array_y_higher[1,m-4])/(array_y_higher[1,m-5]);
> nr1 := convfloat(m-1)*rm0 - 2.0*convfloat(m-2)*rm1 + convfloat(m-3)*rm2;
> nr2 := convfloat(m-2)*rm1 - 2.0*convfloat(m-3)*rm2 + convfloat(m-4)*rm3;
> dr1 := (-1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
> dr2 := (-1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
> ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
> ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
> if ((omniabs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (omniabs(dr1) <= glob_small_float)) then # if number 3
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> else
> if (omniabs(nr1*dr2 - nr2 * dr1) > glob_small_float) then # if number 4
> rcs := ((ds1*dr2 - ds2*dr1 +dr1*dr2)/(nr1*dr2 - nr2 * dr1));
> #(Manuels) rcs := (ds1*dr2 - ds2*dr1)/(nr1*dr2 - nr2 * dr1)
> ord_no := (rcs*nr1 - ds1)/(2.0*dr1) -convfloat(m)/2.0;
> if (omniabs(rcs) > glob_small_float) then # if number 5
> if (rcs > 0.0) then # if number 6
> rad_c := sqrt(rcs) * omniabs(glob_h);
> else
> rad_c := glob_large_float;
> fi;# end if 6
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 5
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 4
> fi;# end if 3;
> array_complex_pole[1,1] := rad_c;
> array_complex_pole[1,2] := ord_no;
> fi;# end if 2;
> #BOTTOM RADII COMPLEX EQ = 1
> found := false;
> #TOP WHICH RADII EQ = 1
> if ( not found and ((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float)) and ((array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0))) then # if number 2
> array_poles[1,1] := array_complex_pole[1,1];
> array_poles[1,2] := array_complex_pole[1,2];
> found := true;
> array_type_pole[1] := 2;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Complex estimate of poles used");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if ( not found and ((array_real_pole[1,1] <> glob_large_float) and (array_real_pole[1,2] <> glob_large_float) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > 0.0) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float) or (array_complex_pole[1,1] <= 0.0 ) or (array_complex_pole[1,2] <= 0.0)))) then # if number 2
> array_poles[1,1] := array_real_pole[1,1];
> array_poles[1,2] := array_real_pole[1,2];
> found := true;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Real estimate of pole used");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if ( not found and (((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float)))) then # if number 2
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> found := true;
> array_type_pole[1] := 3;
> if (reached_interval()) then # if number 3
> omniout_str(ALWAYS,"NO POLE");
> fi;# end if 3;
> fi;# end if 2;
> if ( not found and ((array_real_pole[1,1] < array_complex_pole[1,1]) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > 0.0))) then # if number 2
> array_poles[1,1] := array_real_pole[1,1];
> array_poles[1,2] := array_real_pole[1,2];
> found := true;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Real estimate of pole used");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if ( not found and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float) and (array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0))) then # if number 2
> array_poles[1,1] := array_complex_pole[1,1];
> array_poles[1,2] := array_complex_pole[1,2];
> array_type_pole[1] := 2;
> found := true;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Complex estimate of poles used");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if ( not found ) then # if number 2
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> array_type_pole[1] := 3;
> if (reached_interval()) then # if number 3
> omniout_str(ALWAYS,"NO POLE");
> fi;# end if 3;
> fi;# end if 2;
> #BOTTOM WHICH RADII EQ = 1
> array_pole[1] := glob_large_float;
> array_pole[2] := glob_large_float;
> #TOP WHICH RADIUS EQ = 1
> if (array_pole[1] > array_poles[1,1]) then # if number 2
> array_pole[1] := array_poles[1,1];
> array_pole[2] := array_poles[1,2];
> fi;# end if 2;
> #BOTTOM WHICH RADIUS EQ = 1
> #START ADJUST ALL SERIES
> if (array_pole[1] * glob_ratio_of_radius < omniabs(glob_h)) then # if number 2
> h_new := array_pole[1] * glob_ratio_of_radius;
> term := 1;
> ratio := 1.0;
> while (term <= glob_max_terms) do # do number 2
> array_y[term] := array_y[term]* ratio;
> array_y_higher[1,term] := array_y_higher[1,term]* ratio;
> array_x[term] := array_x[term]* ratio;
> ratio := ratio * h_new / omniabs(glob_h);
> term := term + 1;
> od;# end do number 2;
> glob_h := h_new;
> fi;# end if 2;
> #BOTTOM ADJUST ALL SERIES
> if (reached_interval()) then # if number 2
> display_pole();
> fi;# end if 2
> end;
check_for_pole := proc()
local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs,
rm0, rm1, rm2, rm3, rm4, found, h_new, ratio, term;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_3D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_g, array_tmp3, array_tmp4, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
n := glob_max_terms;
m := n - 2;
while 10 <= m and (omniabs(array_y_higher[1, m]) < glob_small_float or
omniabs(array_y_higher[1, m - 1]) < glob_small_float or
omniabs(array_y_higher[1, m - 2]) < glob_small_float) do m := m - 1
end do;
if 10 < m then
rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1];
rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2];
hdrc := convfloat(m - 1)*rm0 - convfloat(m - 2)*rm1;
if glob_small_float < omniabs(hdrc) then
rcs := glob_h/hdrc;
ord_no := convfloat(m - 1)*rm0/hdrc - convfloat(m) + 2.0;
array_real_pole[1, 1] := rcs;
array_real_pole[1, 2] := ord_no
else
array_real_pole[1, 1] := glob_large_float;
array_real_pole[1, 2] := glob_large_float
end if
else
array_real_pole[1, 1] := glob_large_float;
array_real_pole[1, 2] := glob_large_float
end if;
n := glob_max_terms - 2;
cnt := 0;
while cnt < 5 and 10 <= n do
if glob_small_float < omniabs(array_y_higher[1, n]) then
cnt := cnt + 1
else cnt := 0
end if;
n := n - 1
end do;
m := n + cnt;
if m <= 10 then rad_c := glob_large_float; ord_no := glob_large_float
elif glob_large_float <= omniabs(array_y_higher[1, m]) or
glob_large_float <= omniabs(array_y_higher[1, m - 1]) or
glob_large_float <= omniabs(array_y_higher[1, m - 2]) or
glob_large_float <= omniabs(array_y_higher[1, m - 3]) or
glob_large_float <= omniabs(array_y_higher[1, m - 4]) or
glob_large_float <= omniabs(array_y_higher[1, m - 5]) or
omniabs(array_y_higher[1, m]) <= glob_small_float or
omniabs(array_y_higher[1, m - 1]) <= glob_small_float or
omniabs(array_y_higher[1, m - 2]) <= glob_small_float or
omniabs(array_y_higher[1, m - 3]) <= glob_small_float or
omniabs(array_y_higher[1, m - 4]) <= glob_small_float or
omniabs(array_y_higher[1, m - 5]) <= glob_small_float then
rad_c := glob_large_float; ord_no := glob_large_float
else
rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1];
rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2];
rm2 := array_y_higher[1, m - 2]/array_y_higher[1, m - 3];
rm3 := array_y_higher[1, m - 3]/array_y_higher[1, m - 4];
rm4 := array_y_higher[1, m - 4]/array_y_higher[1, m - 5];
nr1 := convfloat(m - 1)*rm0 - 2.0*convfloat(m - 2)*rm1
+ convfloat(m - 3)*rm2;
nr2 := convfloat(m - 2)*rm1 - 2.0*convfloat(m - 3)*rm2
+ convfloat(m - 4)*rm3;
dr1 := (-1)*(1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
dr2 := (-1)*(1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
if omniabs(nr1*dr2 - nr2*dr1) <= glob_small_float or
omniabs(dr1) <= glob_small_float then
rad_c := glob_large_float; ord_no := glob_large_float
else
if glob_small_float < omniabs(nr1*dr2 - nr2*dr1) then
rcs := (ds1*dr2 - ds2*dr1 + dr1*dr2)/(nr1*dr2 - nr2*dr1);
ord_no := (rcs*nr1 - ds1)/(2.0*dr1) - convfloat(m)/2.0;
if glob_small_float < omniabs(rcs) then
if 0. < rcs then rad_c := sqrt(rcs)*omniabs(glob_h)
else rad_c := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
end if;
array_complex_pole[1, 1] := rad_c;
array_complex_pole[1, 2] := ord_no
end if;
found := false;
if not found and (array_real_pole[1, 1] = glob_large_float or
array_real_pole[1, 2] = glob_large_float) and
array_complex_pole[1, 1] <> glob_large_float and
array_complex_pole[1, 2] <> glob_large_float and
0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then
array_poles[1, 1] := array_complex_pole[1, 1];
array_poles[1, 2] := array_complex_pole[1, 2];
found := true;
array_type_pole[1] := 2;
if glob_display_flag then
if reached_interval() then
omniout_str(ALWAYS, "Complex estimate of poles used")
end if
end if
end if;
if not found and array_real_pole[1, 1] <> glob_large_float and
array_real_pole[1, 2] <> glob_large_float and
0. < array_real_pole[1, 1] and 0. < array_real_pole[1, 2] and (
array_complex_pole[1, 1] = glob_large_float or
array_complex_pole[1, 2] = glob_large_float or
array_complex_pole[1, 1] <= 0. or array_complex_pole[1, 2] <= 0.) then
array_poles[1, 1] := array_real_pole[1, 1];
array_poles[1, 2] := array_real_pole[1, 2];
found := true;
array_type_pole[1] := 1;
if glob_display_flag then
if reached_interval() then
omniout_str(ALWAYS, "Real estimate of pole used")
end if
end if
end if;
if not found and (array_real_pole[1, 1] = glob_large_float or
array_real_pole[1, 2] = glob_large_float) and (
array_complex_pole[1, 1] = glob_large_float or
array_complex_pole[1, 2] = glob_large_float) then
array_poles[1, 1] := glob_large_float;
array_poles[1, 2] := glob_large_float;
found := true;
array_type_pole[1] := 3;
if reached_interval() then omniout_str(ALWAYS, "NO POLE") end if
end if;
if not found and array_real_pole[1, 1] < array_complex_pole[1, 1] and
0. < array_real_pole[1, 1] and 0. < array_real_pole[1, 2] then
array_poles[1, 1] := array_real_pole[1, 1];
array_poles[1, 2] := array_real_pole[1, 2];
found := true;
array_type_pole[1] := 1;
if glob_display_flag then
if reached_interval() then
omniout_str(ALWAYS, "Real estimate of pole used")
end if
end if
end if;
if not found and array_complex_pole[1, 1] <> glob_large_float and
array_complex_pole[1, 2] <> glob_large_float and
0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then
array_poles[1, 1] := array_complex_pole[1, 1];
array_poles[1, 2] := array_complex_pole[1, 2];
array_type_pole[1] := 2;
found := true;
if glob_display_flag then
if reached_interval() then
omniout_str(ALWAYS, "Complex estimate of poles used")
end if
end if
end if;
if not found then
array_poles[1, 1] := glob_large_float;
array_poles[1, 2] := glob_large_float;
array_type_pole[1] := 3;
if reached_interval() then omniout_str(ALWAYS, "NO POLE") end if
end if;
array_pole[1] := glob_large_float;
array_pole[2] := glob_large_float;
if array_poles[1, 1] < array_pole[1] then
array_pole[1] := array_poles[1, 1];
array_pole[2] := array_poles[1, 2]
end if;
if array_pole[1]*glob_ratio_of_radius < omniabs(glob_h) then
h_new := array_pole[1]*glob_ratio_of_radius;
term := 1;
ratio := 1.0;
while term <= glob_max_terms do
array_y[term] := array_y[term]*ratio;
array_y_higher[1, term] := array_y_higher[1, term]*ratio;
array_x[term] := array_x[term]*ratio;
ratio := ratio*h_new/omniabs(glob_h);
term := term + 1
end do;
glob_h := h_new
end if;
if reached_interval() then display_pole() end if
end proc
> # End Function number 10
> # Begin Function number 11
> get_norms := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local iii;
> if ( not glob_initial_pass) then # if number 2
> iii := 1;
> while (iii <= glob_max_terms) do # do number 2
> array_norms[iii] := 0.0;
> iii := iii + 1;
> od;# end do number 2;
> #TOP GET NORMS
> iii := 1;
> while (iii <= glob_max_terms) do # do number 2
> if (omniabs(array_y[iii]) > array_norms[iii]) then # if number 3
> array_norms[iii] := omniabs(array_y[iii]);
> fi;# end if 3;
> iii := iii + 1;
> od;# end do number 2
> #BOTTOM GET NORMS
> ;
> fi;# end if 2;
> end;
get_norms := proc()
local iii;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_3D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_g, array_tmp3, array_tmp4, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
if not glob_initial_pass then
iii := 1;
while iii <= glob_max_terms do
array_norms[iii] := 0.; iii := iii + 1
end do;
iii := 1;
while iii <= glob_max_terms do
if array_norms[iii] < omniabs(array_y[iii]) then
array_norms[iii] := omniabs(array_y[iii])
end if;
iii := iii + 1
end do
end if
end proc
> # End Function number 11
> # Begin Function number 12
> atomall := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local kkk, order_d, adj2, adj3 , temporary, term;
> #TOP ATOMALL
> #END OUTFILE1
> #BEGIN ATOMHDR1
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 1
> array_tmp1[1] := array_const_2D0[1] * array_x[1];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 1
> array_tmp2[1] := array_tmp1[1] + array_const_3D0[1];
> array_tmp3[1] := sinh(array_tmp2[1]);
> array_tmp3_g[1] := cosh(array_tmp2[1]);
> #emit pre add CONST FULL $eq_no = 1 i = 1
> array_tmp4[1] := array_const_0D0[1] + array_tmp3[1];
> #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5
> if ( not array_y_set_initial[1,2]) then # if number 1
> if (1 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[1] * expt(glob_h , (1)) * factorial_3(0,1);
> array_y[2] := temporary;
> array_y_higher[1,2] := temporary;
> temporary := temporary / glob_h * (1.0);
> array_y_higher[2,1] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 2;
> #END ATOMHDR1
> #BEGIN ATOMHDR2
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 2
> array_tmp1[2] := array_const_2D0[1] * array_x[2];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 2
> array_tmp2[2] := array_tmp1[2];
> #emit pre sinh LINEAR $eq_no = 1
> array_tmp3[2] := array_tmp3_g[1] * array_tmp2[2] / 1;
> array_tmp3_g[2] := array_tmp3[1] * array_tmp2[2] / 1;
> #emit pre add CONST FULL $eq_no = 1 i = 2
> array_tmp4[2] := array_tmp3[2];
> #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5
> if ( not array_y_set_initial[1,3]) then # if number 1
> if (2 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[2] * expt(glob_h , (1)) * factorial_3(1,2);
> array_y[3] := temporary;
> array_y_higher[1,3] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y_higher[2,2] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 3;
> #END ATOMHDR2
> #BEGIN ATOMHDR3
> #emit pre sinh LINEAR $eq_no = 1
> array_tmp3[3] := array_tmp3_g[2] * array_tmp2[2] / 2;
> array_tmp3_g[3] := array_tmp3[2] * array_tmp2[2] / 2;
> #emit pre add CONST FULL $eq_no = 1 i = 3
> array_tmp4[3] := array_tmp3[3];
> #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5
> if ( not array_y_set_initial[1,4]) then # if number 1
> if (3 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[3] * expt(glob_h , (1)) * factorial_3(2,3);
> array_y[4] := temporary;
> array_y_higher[1,4] := temporary;
> temporary := temporary / glob_h * (3.0);
> array_y_higher[2,3] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 4;
> #END ATOMHDR3
> #BEGIN ATOMHDR4
> #emit pre sinh LINEAR $eq_no = 1
> array_tmp3[4] := array_tmp3_g[3] * array_tmp2[2] / 3;
> array_tmp3_g[4] := array_tmp3[3] * array_tmp2[2] / 3;
> #emit pre add CONST FULL $eq_no = 1 i = 4
> array_tmp4[4] := array_tmp3[4];
> #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5
> if ( not array_y_set_initial[1,5]) then # if number 1
> if (4 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[4] * expt(glob_h , (1)) * factorial_3(3,4);
> array_y[5] := temporary;
> array_y_higher[1,5] := temporary;
> temporary := temporary / glob_h * (4.0);
> array_y_higher[2,4] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 5;
> #END ATOMHDR4
> #BEGIN ATOMHDR5
> #emit pre sinh LINEAR $eq_no = 1
> array_tmp3[5] := array_tmp3_g[4] * array_tmp2[2] / 4;
> array_tmp3_g[5] := array_tmp3[4] * array_tmp2[2] / 4;
> #emit pre add CONST FULL $eq_no = 1 i = 5
> array_tmp4[5] := array_tmp3[5];
> #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5
> if ( not array_y_set_initial[1,6]) then # if number 1
> if (5 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[5] * expt(glob_h , (1)) * factorial_3(4,5);
> array_y[6] := temporary;
> array_y_higher[1,6] := temporary;
> temporary := temporary / glob_h * (5.0);
> array_y_higher[2,5] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 6;
> #END ATOMHDR5
> #BEGIN OUTFILE3
> #Top Atomall While Loop-- outfile3
> while (kkk <= glob_max_terms) do # do number 1
> #END OUTFILE3
> #BEGIN OUTFILE4
> #emit sinh LINEAR $eq_no = 1
> array_tmp3[kkk] := array_tmp3_g[kkk - 1] * array_tmp2[2] / (kkk - 1);
> array_tmp3_g[kkk] := -array_tmp3[kkk - 1] * array_tmp2[2] / (kkk - 1);
> #emit NOT FULL - FULL add $eq_no = 1
> array_tmp4[kkk] := array_tmp3[kkk];
> #emit assign $eq_no = 1
> order_d := 1;
> if (kkk + order_d + 1 <= glob_max_terms) then # if number 1
> if ( not array_y_set_initial[1,kkk + order_d]) then # if number 2
> temporary := array_tmp4[kkk] * expt(glob_h , (order_d)) * factorial_3((kkk - 1),(kkk + order_d - 1));
> array_y[kkk + order_d] := temporary;
> array_y_higher[1,kkk + order_d] := temporary;
> term := kkk + order_d - 1;
> adj2 := kkk + order_d - 1;
> adj3 := 2;
> while (term >= 1) do # do number 2
> if (adj3 <= order_d + 1) then # if number 3
> if (adj2 > 0) then # if number 4
> temporary := temporary / glob_h * convfp(adj2);
> else
> temporary := temporary;
> fi;# end if 4;
> array_y_higher[adj3,term] := temporary;
> fi;# end if 3;
> term := term - 1;
> adj2 := adj2 - 1;
> adj3 := adj3 + 1;
> od;# end do number 2
> fi;# end if 2
> fi;# end if 1;
> kkk := kkk + 1;
> od;# end do number 1;
> #BOTTOM ATOMALL
> #END OUTFILE4
> #BEGIN OUTFILE5
> #BOTTOM ATOMALL ???
> end;
atomall := proc()
local kkk, order_d, adj2, adj3, temporary, term;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_3D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_g, array_tmp3, array_tmp4, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
array_tmp1[1] := array_const_2D0[1]*array_x[1];
array_tmp2[1] := array_tmp1[1] + array_const_3D0[1];
array_tmp3[1] := sinh(array_tmp2[1]);
array_tmp3_g[1] := cosh(array_tmp2[1]);
array_tmp4[1] := array_const_0D0[1] + array_tmp3[1];
if not array_y_set_initial[1, 2] then
if 1 <= glob_max_terms then
temporary := array_tmp4[1]*expt(glob_h, 1)*factorial_3(0, 1);
array_y[2] := temporary;
array_y_higher[1, 2] := temporary;
temporary := temporary*1.0/glob_h;
array_y_higher[2, 1] := temporary
end if
end if;
kkk := 2;
array_tmp1[2] := array_const_2D0[1]*array_x[2];
array_tmp2[2] := array_tmp1[2];
array_tmp3[2] := array_tmp3_g[1]*array_tmp2[2];
array_tmp3_g[2] := array_tmp3[1]*array_tmp2[2];
array_tmp4[2] := array_tmp3[2];
if not array_y_set_initial[1, 3] then
if 2 <= glob_max_terms then
temporary := array_tmp4[2]*expt(glob_h, 1)*factorial_3(1, 2);
array_y[3] := temporary;
array_y_higher[1, 3] := temporary;
temporary := temporary*2.0/glob_h;
array_y_higher[2, 2] := temporary
end if
end if;
kkk := 3;
array_tmp3[3] := 1/2*array_tmp3_g[2]*array_tmp2[2];
array_tmp3_g[3] := 1/2*array_tmp3[2]*array_tmp2[2];
array_tmp4[3] := array_tmp3[3];
if not array_y_set_initial[1, 4] then
if 3 <= glob_max_terms then
temporary := array_tmp4[3]*expt(glob_h, 1)*factorial_3(2, 3);
array_y[4] := temporary;
array_y_higher[1, 4] := temporary;
temporary := temporary*3.0/glob_h;
array_y_higher[2, 3] := temporary
end if
end if;
kkk := 4;
array_tmp3[4] := 1/3*array_tmp3_g[3]*array_tmp2[2];
array_tmp3_g[4] := 1/3*array_tmp3[3]*array_tmp2[2];
array_tmp4[4] := array_tmp3[4];
if not array_y_set_initial[1, 5] then
if 4 <= glob_max_terms then
temporary := array_tmp4[4]*expt(glob_h, 1)*factorial_3(3, 4);
array_y[5] := temporary;
array_y_higher[1, 5] := temporary;
temporary := temporary*4.0/glob_h;
array_y_higher[2, 4] := temporary
end if
end if;
kkk := 5;
array_tmp3[5] := 1/4*array_tmp3_g[4]*array_tmp2[2];
array_tmp3_g[5] := 1/4*array_tmp3[4]*array_tmp2[2];
array_tmp4[5] := array_tmp3[5];
if not array_y_set_initial[1, 6] then
if 5 <= glob_max_terms then
temporary := array_tmp4[5]*expt(glob_h, 1)*factorial_3(4, 5);
array_y[6] := temporary;
array_y_higher[1, 6] := temporary;
temporary := temporary*5.0/glob_h;
array_y_higher[2, 5] := temporary
end if
end if;
kkk := 6;
while kkk <= glob_max_terms do
array_tmp3[kkk] := array_tmp3_g[kkk - 1]*array_tmp2[2]/(kkk - 1);
array_tmp3_g[kkk] := -array_tmp3[kkk - 1]*array_tmp2[2]/(kkk - 1);
array_tmp4[kkk] := array_tmp3[kkk];
order_d := 1;
if kkk + order_d + 1 <= glob_max_terms then
if not array_y_set_initial[1, kkk + order_d] then
temporary := array_tmp4[kkk]*expt(glob_h, order_d)*
factorial_3(kkk - 1, kkk + order_d - 1);
array_y[kkk + order_d] := temporary;
array_y_higher[1, kkk + order_d] := temporary;
term := kkk + order_d - 1;
adj2 := kkk + order_d - 1;
adj3 := 2;
while 1 <= term do
if adj3 <= order_d + 1 then
if 0 < adj2 then
temporary := temporary*convfp(adj2)/glob_h
else temporary := temporary
end if;
array_y_higher[adj3, term] := temporary
end if;
term := term - 1;
adj2 := adj2 - 1;
adj3 := adj3 + 1
end do
end if
end if;
kkk := kkk + 1
end do
end proc
> # End Function number 12
> #BEGIN ATS LIBRARY BLOCK
> # Begin Function number 2
> omniout_str := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> printf("%s\n",str);
> fi;# end if 1;
> end;
omniout_str := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s\n", str) end if
end proc
> # End Function number 2
> # Begin Function number 3
> omniout_str_noeol := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> printf("%s",str);
> fi;# end if 1;
> end;
omniout_str_noeol := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s", str) end if
end proc
> # End Function number 3
> # Begin Function number 4
> omniout_labstr := proc(iolevel,label,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> print(label,str);
> fi;# end if 1;
> end;
omniout_labstr := proc(iolevel, label, str)
global glob_iolevel;
if iolevel <= glob_iolevel then print(label, str) end if
end proc
> # End Function number 4
> # Begin Function number 5
> omniout_float := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> if vallen = 4 then
> printf("%-30s = %-42.4g %s \n",prelabel,value, postlabel);
> else
> printf("%-30s = %-42.32g %s \n",prelabel,value, postlabel);
> fi;# end if 1;
> fi;# end if 0;
> end;
omniout_float := proc(iolevel, prelabel, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
if vallen = 4 then
printf("%-30s = %-42.4g %s \n", prelabel, value, postlabel)
else printf("%-30s = %-42.32g %s \n", prelabel, value, postlabel)
end if
end if
end proc
> # End Function number 5
> # Begin Function number 6
> omniout_int := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 0
> if vallen = 5 then # if number 1
> printf("%-30s = %-32d %s\n",prelabel,value, postlabel);
> else
> printf("%-30s = %-32d %s \n",prelabel,value, postlabel);
> fi;# end if 1;
> fi;# end if 0;
> end;
omniout_int := proc(iolevel, prelabel, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
if vallen = 5 then
printf("%-30s = %-32d %s\n", prelabel, value, postlabel)
else printf("%-30s = %-32d %s \n", prelabel, value, postlabel)
end if
end if
end proc
> # End Function number 6
> # Begin Function number 7
> omniout_float_arr := proc(iolevel,prelabel,elemnt,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 0
> print(prelabel,"[",elemnt,"]",value, postlabel);
> fi;# end if 0;
> end;
omniout_float_arr := proc(
iolevel, prelabel, elemnt, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
print(prelabel, "[", elemnt, "]", value, postlabel)
end if
end proc
> # End Function number 7
> # Begin Function number 8
> dump_series := proc(iolevel,dump_label,series_name,arr_series,numb)
> global glob_iolevel;
> local i;
> if (glob_iolevel >= iolevel) then # if number 0
> i := 1;
> while (i <= numb) do # do number 1
> print(dump_label,series_name
> ,i,arr_series[i]);
> i := i + 1;
> od;# end do number 1
> fi;# end if 0
> end;
dump_series := proc(iolevel, dump_label, series_name, arr_series, numb)
local i;
global glob_iolevel;
if iolevel <= glob_iolevel then
i := 1;
while i <= numb do
print(dump_label, series_name, i, arr_series[i]); i := i + 1
end do
end if
end proc
> # End Function number 8
> # Begin Function number 9
> dump_series_2 := proc(iolevel,dump_label,series_name2,arr_series2,numb,subnum,arr_x)
> global glob_iolevel;
> local i,sub,ts_term;
> if (glob_iolevel >= iolevel) then # if number 0
> sub := 1;
> while (sub <= subnum) do # do number 1
> i := 1;
> while (i <= numb) do # do number 2
> print(dump_label,series_name2,sub,i,arr_series2[sub,i]);
> od;# end do number 2;
> sub := sub + 1;
> od;# end do number 1;
> fi;# end if 0;
> end;
dump_series_2 := proc(
iolevel, dump_label, series_name2, arr_series2, numb, subnum, arr_x)
local i, sub, ts_term;
global glob_iolevel;
if iolevel <= glob_iolevel then
sub := 1;
while sub <= subnum do
i := 1;
while i <= numb do print(dump_label, series_name2, sub, i,
arr_series2[sub, i])
end do;
sub := sub + 1
end do
end if
end proc
> # End Function number 9
> # Begin Function number 10
> cs_info := proc(iolevel,str)
> global glob_iolevel,glob_correct_start_flag,glob_h,glob_reached_optimal_h;
> if (glob_iolevel >= iolevel) then # if number 0
> print("cs_info " , str , " glob_correct_start_flag = " , glob_correct_start_flag , "glob_h := " , glob_h , "glob_reached_optimal_h := " , glob_reached_optimal_h)
> fi;# end if 0;
> end;
cs_info := proc(iolevel, str)
global
glob_iolevel, glob_correct_start_flag, glob_h, glob_reached_optimal_h;
if iolevel <= glob_iolevel then print("cs_info ", str,
" glob_correct_start_flag = ", glob_correct_start_flag,
"glob_h := ", glob_h, "glob_reached_optimal_h := ",
glob_reached_optimal_h)
end if
end proc
> # End Function number 10
> # Begin Function number 11
> logitem_time := proc(fd,secs_in)
> global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
> local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int;
> fprintf(fd,"
");
> if (secs_in >= 0) then # if number 0
> years_int := trunc(secs_in / glob_sec_in_year);
> sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year));
> days_int := trunc(sec_temp / glob_sec_in_day) ;
> sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ;
> hours_int := trunc(sec_temp / glob_sec_in_hour);
> sec_temp := (sec_temp mod trunc(glob_sec_in_hour));
> minutes_int := trunc(sec_temp / glob_sec_in_minute);
> sec_int := (sec_temp mod trunc(glob_sec_in_minute));
> if (years_int > 0) then # if number 1
> fprintf(fd,"%d Years %d Days %d Hours %d Minutes %d Seconds",years_int,days_int,hours_int,minutes_int,sec_int);
> elif
> (days_int > 0) then # if number 2
> fprintf(fd,"%d Days %d Hours %d Minutes %d Seconds",days_int,hours_int,minutes_int,sec_int);
> elif
> (hours_int > 0) then # if number 3
> fprintf(fd,"%d Hours %d Minutes %d Seconds",hours_int,minutes_int,sec_int);
> elif
> (minutes_int > 0) then # if number 4
> fprintf(fd,"%d Minutes %d Seconds",minutes_int,sec_int);
> else
> fprintf(fd,"%d Seconds",sec_int);
> fi;# end if 4
> else
> fprintf(fd," Unknown");
> fi;# end if 3
> fprintf(fd," | \n");
> end;
logitem_time := proc(fd, secs_in)
local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int;
global
glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
fprintf(fd, "");
if 0 <= secs_in then
years_int := trunc(secs_in/glob_sec_in_year);
sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year);
days_int := trunc(sec_temp/glob_sec_in_day);
sec_temp := sec_temp mod trunc(glob_sec_in_day);
hours_int := trunc(sec_temp/glob_sec_in_hour);
sec_temp := sec_temp mod trunc(glob_sec_in_hour);
minutes_int := trunc(sec_temp/glob_sec_in_minute);
sec_int := sec_temp mod trunc(glob_sec_in_minute);
if 0 < years_int then fprintf(fd,
"%d Years %d Days %d Hours %d Minutes %d Seconds", years_int,
days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then fprintf(fd,
"%d Days %d Hours %d Minutes %d Seconds", days_int, hours_int,
minutes_int, sec_int)
elif 0 < hours_int then fprintf(fd,
"%d Hours %d Minutes %d Seconds", hours_int, minutes_int,
sec_int)
elif 0 < minutes_int then
fprintf(fd, "%d Minutes %d Seconds", minutes_int, sec_int)
else fprintf(fd, "%d Seconds", sec_int)
end if
else fprintf(fd, " Unknown")
end if;
fprintf(fd, " | \n")
end proc
> # End Function number 11
> # Begin Function number 12
> omniout_timestr := proc(secs_in)
> global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
> local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int;
> if (secs_in >= 0) then # if number 3
> years_int := trunc(secs_in / glob_sec_in_year);
> sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year));
> days_int := trunc(sec_temp / glob_sec_in_day) ;
> sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ;
> hours_int := trunc(sec_temp / glob_sec_in_hour);
> sec_temp := (sec_temp mod trunc(glob_sec_in_hour));
> minutes_int := trunc(sec_temp / glob_sec_in_minute);
> sec_int := (sec_temp mod trunc(glob_sec_in_minute));
> if (years_int > 0) then # if number 4
> printf(" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",years_int,days_int,hours_int,minutes_int,sec_int);
> elif
> (days_int > 0) then # if number 5
> printf(" = %d Days %d Hours %d Minutes %d Seconds\n",days_int,hours_int,minutes_int,sec_int);
> elif
> (hours_int > 0) then # if number 6
> printf(" = %d Hours %d Minutes %d Seconds\n",hours_int,minutes_int,sec_int);
> elif
> (minutes_int > 0) then # if number 7
> printf(" = %d Minutes %d Seconds\n",minutes_int,sec_int);
> else
> printf(" = %d Seconds\n",sec_int);
> fi;# end if 7
> else
> printf(" Unknown\n");
> fi;# end if 6
> end;
omniout_timestr := proc(secs_in)
local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int;
global
glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
if 0 <= secs_in then
years_int := trunc(secs_in/glob_sec_in_year);
sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year);
days_int := trunc(sec_temp/glob_sec_in_day);
sec_temp := sec_temp mod trunc(glob_sec_in_day);
hours_int := trunc(sec_temp/glob_sec_in_hour);
sec_temp := sec_temp mod trunc(glob_sec_in_hour);
minutes_int := trunc(sec_temp/glob_sec_in_minute);
sec_int := sec_temp mod trunc(glob_sec_in_minute);
if 0 < years_int then printf(
" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",
years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then printf(
" = %d Days %d Hours %d Minutes %d Seconds\n", days_int,
hours_int, minutes_int, sec_int)
elif 0 < hours_int then printf(
" = %d Hours %d Minutes %d Seconds\n", hours_int, minutes_int,
sec_int)
elif 0 < minutes_int then
printf(" = %d Minutes %d Seconds\n", minutes_int, sec_int)
else printf(" = %d Seconds\n", sec_int)
end if
else printf(" Unknown\n")
end if
end proc
> # End Function number 12
> # Begin Function number 13
> ats := proc(mmm_ats,arr_a,arr_b,jjj_ats)
> local iii_ats, lll_ats,ma_ats, ret_ats;
> ret_ats := 0.0;
> if (jjj_ats <= mmm_ats) then # if number 6
> ma_ats := mmm_ats + 1;
> iii_ats := jjj_ats;
> while (iii_ats <= mmm_ats) do # do number 1
> lll_ats := ma_ats - iii_ats;
> ret_ats := ret_ats + arr_a[iii_ats]*arr_b[lll_ats];
> iii_ats := iii_ats + 1;
> od;# end do number 1
> fi;# end if 6;
> ret_ats;
> end;
ats := proc(mmm_ats, arr_a, arr_b, jjj_ats)
local iii_ats, lll_ats, ma_ats, ret_ats;
ret_ats := 0.;
if jjj_ats <= mmm_ats then
ma_ats := mmm_ats + 1;
iii_ats := jjj_ats;
while iii_ats <= mmm_ats do
lll_ats := ma_ats - iii_ats;
ret_ats := ret_ats + arr_a[iii_ats]*arr_b[lll_ats];
iii_ats := iii_ats + 1
end do
end if;
ret_ats
end proc
> # End Function number 13
> # Begin Function number 14
> att := proc(mmm_att,arr_aa,arr_bb,jjj_att)
> global glob_max_terms;
> local al_att, iii_att,lll_att, ma_att, ret_att;
> ret_att := 0.0;
> if (jjj_att <= mmm_att) then # if number 6
> ma_att := mmm_att + 2;
> iii_att := jjj_att;
> while (iii_att <= mmm_att) do # do number 1
> lll_att := ma_att - iii_att;
> al_att := (lll_att - 1);
> if (lll_att <= glob_max_terms) then # if number 7
> ret_att := ret_att + arr_aa[iii_att]*arr_bb[lll_att]* convfp(al_att);
> fi;# end if 7;
> iii_att := iii_att + 1;
> od;# end do number 1;
> ret_att := ret_att / convfp(mmm_att) ;
> fi;# end if 6;
> ret_att;
> end;
att := proc(mmm_att, arr_aa, arr_bb, jjj_att)
local al_att, iii_att, lll_att, ma_att, ret_att;
global glob_max_terms;
ret_att := 0.;
if jjj_att <= mmm_att then
ma_att := mmm_att + 2;
iii_att := jjj_att;
while iii_att <= mmm_att do
lll_att := ma_att - iii_att;
al_att := lll_att - 1;
if lll_att <= glob_max_terms then ret_att :=
ret_att + arr_aa[iii_att]*arr_bb[lll_att]*convfp(al_att)
end if;
iii_att := iii_att + 1
end do;
ret_att := ret_att/convfp(mmm_att)
end if;
ret_att
end proc
> # End Function number 14
> # Begin Function number 15
> display_pole := proc()
> global ALWAYS,glob_display_flag, glob_large_float, array_pole;
> if ((array_pole[1] <> glob_large_float) and (array_pole[1] > 0.0) and (array_pole[2] <> glob_large_float) and (array_pole[2]> 0.0) and glob_display_flag) then # if number 6
> omniout_float(ALWAYS,"Radius of convergence ",4, array_pole[1],4," ");
> omniout_float(ALWAYS,"Order of pole ",4, array_pole[2],4," ");
> fi;# end if 6
> end;
display_pole := proc()
global ALWAYS, glob_display_flag, glob_large_float, array_pole;
if array_pole[1] <> glob_large_float and 0. < array_pole[1] and
array_pole[2] <> glob_large_float and 0. < array_pole[2] and
glob_display_flag then
omniout_float(ALWAYS, "Radius of convergence ", 4,
array_pole[1], 4, " ");
omniout_float(ALWAYS, "Order of pole ", 4,
array_pole[2], 4, " ")
end if
end proc
> # End Function number 15
> # Begin Function number 16
> logditto := proc(file)
> fprintf(file,"");
> fprintf(file,"ditto");
> fprintf(file," | ");
> end;
logditto := proc(file)
fprintf(file, ""); fprintf(file, "ditto"); fprintf(file, " | ")
end proc
> # End Function number 16
> # Begin Function number 17
> logitem_integer := proc(file,n)
> fprintf(file,"");
> fprintf(file,"%d",n);
> fprintf(file," | ");
> end;
logitem_integer := proc(file, n)
fprintf(file, ""); fprintf(file, "%d", n); fprintf(file, " | ")
end proc
> # End Function number 17
> # Begin Function number 18
> logitem_str := proc(file,str)
> fprintf(file,"");
> fprintf(file,str);
> fprintf(file," | ");
> end;
logitem_str := proc(file, str)
fprintf(file, ""); fprintf(file, str); fprintf(file, " | ")
end proc
> # End Function number 18
> # Begin Function number 19
> logitem_good_digits := proc(file,rel_error)
> global glob_small_float;
> local good_digits;
> fprintf(file,"");
> if (rel_error <> -1.0) then # if number 6
> if (rel_error > + 0.0000000000000000000000000000000001) then # if number 7
> good_digits := 1-trunc(log10(rel_error));
> fprintf(file,"%d",good_digits);
> else
> good_digits := Digits;
> fprintf(file,"%d",good_digits);
> fi;# end if 7;
> else
> fprintf(file,"Unknown");
> fi;# end if 6;
> fprintf(file," | ");
> end;
logitem_good_digits := proc(file, rel_error)
local good_digits;
global glob_small_float;
fprintf(file, "");
if rel_error <> -1.0 then
if 0.1*10^(-33) < rel_error then
good_digits := 1 - trunc(log10(rel_error));
fprintf(file, "%d", good_digits)
else good_digits := Digits; fprintf(file, "%d", good_digits)
end if
else fprintf(file, "Unknown")
end if;
fprintf(file, " | ")
end proc
> # End Function number 19
> # Begin Function number 20
> log_revs := proc(file,revs)
> fprintf(file,revs);
> end;
log_revs := proc(file, revs) fprintf(file, revs) end proc
> # End Function number 20
> # Begin Function number 21
> logitem_float := proc(file,x)
> fprintf(file,"");
> fprintf(file,"%g",x);
> fprintf(file," | ");
> end;
logitem_float := proc(file, x)
fprintf(file, ""); fprintf(file, "%g", x); fprintf(file, " | ")
end proc
> # End Function number 21
> # Begin Function number 22
> logitem_pole := proc(file,pole)
> fprintf(file,"");
> if (pole = 0) then # if number 6
> fprintf(file,"NA");
> elif
> (pole = 1) then # if number 7
> fprintf(file,"Real");
> elif
> (pole = 2) then # if number 8
> fprintf(file,"Complex");
> else
> fprintf(file,"No Pole");
> fi;# end if 8
> fprintf(file," | ");
> end;
logitem_pole := proc(file, pole)
fprintf(file, "");
if pole = 0 then fprintf(file, "NA")
elif pole = 1 then fprintf(file, "Real")
elif pole = 2 then fprintf(file, "Complex")
else fprintf(file, "No Pole")
end if;
fprintf(file, " | ")
end proc
> # End Function number 22
> # Begin Function number 23
> logstart := proc(file)
> fprintf(file,"");
> end;
logstart := proc(file) fprintf(file, "
") end proc
> # End Function number 23
> # Begin Function number 24
> logend := proc(file)
> fprintf(file,"
\n");
> end;
logend := proc(file) fprintf(file, "\n") end proc
> # End Function number 24
> # Begin Function number 25
> chk_data := proc()
> global glob_max_iter,ALWAYS, glob_max_terms;
> local errflag;
> errflag := false;
> if ((glob_max_terms < 15) or (glob_max_terms > 512)) then # if number 8
> omniout_str(ALWAYS,"Illegal max_terms = -- Using 30");
> glob_max_terms := 30;
> fi;# end if 8;
> if (glob_max_iter < 2) then # if number 8
> omniout_str(ALWAYS,"Illegal max_iter");
> errflag := true;
> fi;# end if 8;
> if (errflag) then # if number 8
> quit;
> fi;# end if 8
> end;
chk_data := proc()
local errflag;
global glob_max_iter, ALWAYS, glob_max_terms;
errflag := false;
if glob_max_terms < 15 or 512 < glob_max_terms then
omniout_str(ALWAYS, "Illegal max_terms = -- Using 30");
glob_max_terms := 30
end if;
if glob_max_iter < 2 then
omniout_str(ALWAYS, "Illegal max_iter"); errflag := true
end if;
if errflag then quit end if
end proc
> # End Function number 25
> # Begin Function number 26
> comp_expect_sec := proc(t_end2,t_start2,t2,clock_sec2)
> global glob_small_float;
> local ms2, rrr, sec_left, sub1, sub2;
> ;
> ms2 := clock_sec2;
> sub1 := (t_end2-t_start2);
> sub2 := (t2-t_start2);
> if (sub1 = 0.0) then # if number 8
> sec_left := 0.0;
> else
> if (sub2 > 0.0) then # if number 9
> rrr := (sub1/sub2);
> sec_left := rrr * ms2 - ms2;
> else
> sec_left := 0.0;
> fi;# end if 9
> fi;# end if 8;
> sec_left;
> end;
comp_expect_sec := proc(t_end2, t_start2, t2, clock_sec2)
local ms2, rrr, sec_left, sub1, sub2;
global glob_small_float;
ms2 := clock_sec2;
sub1 := t_end2 - t_start2;
sub2 := t2 - t_start2;
if sub1 = 0. then sec_left := 0.
else
if 0. < sub2 then rrr := sub1/sub2; sec_left := rrr*ms2 - ms2
else sec_left := 0.
end if
end if;
sec_left
end proc
> # End Function number 26
> # Begin Function number 27
> comp_percent := proc(t_end2,t_start2, t2)
> global glob_small_float;
> local rrr, sub1, sub2;
> sub1 := (t_end2-t_start2);
> sub2 := (t2-t_start2);
> if (sub2 > glob_small_float) then # if number 8
> rrr := (100.0*sub2)/sub1;
> else
> rrr := 0.0;
> fi;# end if 8;
> rrr;
> end;
comp_percent := proc(t_end2, t_start2, t2)
local rrr, sub1, sub2;
global glob_small_float;
sub1 := t_end2 - t_start2;
sub2 := t2 - t_start2;
if glob_small_float < sub2 then rrr := 100.0*sub2/sub1
else rrr := 0.
end if;
rrr
end proc
> # End Function number 27
> # Begin Function number 28
> factorial_2 := proc(nnn)
> nnn!;
> end;
factorial_2 := proc(nnn) nnn! end proc
> # End Function number 28
> # Begin Function number 29
> factorial_1 := proc(nnn)
> global glob_max_terms,array_fact_1;
> local ret;
> if (nnn <= glob_max_terms) then # if number 8
> if (array_fact_1[nnn] = 0) then # if number 9
> ret := factorial_2(nnn);
> array_fact_1[nnn] := ret;
> else
> ret := array_fact_1[nnn];
> fi;# end if 9;
> else
> ret := factorial_2(nnn);
> fi;# end if 8;
> ret;
> end;
factorial_1 := proc(nnn)
local ret;
global glob_max_terms, array_fact_1;
if nnn <= glob_max_terms then
if array_fact_1[nnn] = 0 then
ret := factorial_2(nnn); array_fact_1[nnn] := ret
else ret := array_fact_1[nnn]
end if
else ret := factorial_2(nnn)
end if;
ret
end proc
> # End Function number 29
> # Begin Function number 30
> factorial_3 := proc(mmm,nnn)
> global glob_max_terms,array_fact_2;
> local ret;
> if ((nnn <= glob_max_terms) and (mmm <= glob_max_terms)) then # if number 8
> if (array_fact_2[mmm,nnn] = 0) then # if number 9
> ret := factorial_1(mmm)/factorial_1(nnn);
> array_fact_2[mmm,nnn] := ret;
> else
> ret := array_fact_2[mmm,nnn];
> fi;# end if 9;
> else
> ret := factorial_2(mmm)/factorial_2(nnn);
> fi;# end if 8;
> ret;
> end;
factorial_3 := proc(mmm, nnn)
local ret;
global glob_max_terms, array_fact_2;
if nnn <= glob_max_terms and mmm <= glob_max_terms then
if array_fact_2[mmm, nnn] = 0 then
ret := factorial_1(mmm)/factorial_1(nnn);
array_fact_2[mmm, nnn] := ret
else ret := array_fact_2[mmm, nnn]
end if
else ret := factorial_2(mmm)/factorial_2(nnn)
end if;
ret
end proc
> # End Function number 30
> # Begin Function number 31
> convfp := proc(mmm)
> (mmm);
> end;
convfp := proc(mmm) mmm end proc
> # End Function number 31
> # Begin Function number 32
> convfloat := proc(mmm)
> (mmm);
> end;
convfloat := proc(mmm) mmm end proc
> # End Function number 32
> # Begin Function number 33
> elapsed_time_seconds := proc()
> time();
> end;
elapsed_time_seconds := proc() time() end proc
> # End Function number 33
> # Begin Function number 34
> omniabs := proc(x)
> abs(x);
> end;
omniabs := proc(x) abs(x) end proc
> # End Function number 34
> # Begin Function number 35
> expt := proc(x,y)
> (x^y);
> end;
expt := proc(x, y) x^y end proc
> # End Function number 35
> # Begin Function number 36
> estimated_needed_step_error := proc(x_start,x_end,estimated_h,estimated_answer)
> local desired_abs_gbl_error,range,estimated_steps,step_error;
> global glob_desired_digits_correct,ALWAYS;
> omniout_float(ALWAYS,"glob_desired_digits_correct",32,glob_desired_digits_correct,32,"");
> desired_abs_gbl_error := expt(10.0,- glob_desired_digits_correct) * omniabs(estimated_answer);
> omniout_float(ALWAYS,"desired_abs_gbl_error",32,desired_abs_gbl_error,32,"");
> range := (x_end - x_start);
> omniout_float(ALWAYS,"range",32,range,32,"");
> estimated_steps := range / estimated_h;
> omniout_float(ALWAYS,"estimated_steps",32,estimated_steps,32,"");
> step_error := omniabs(desired_abs_gbl_error / estimated_steps);
> omniout_float(ALWAYS,"step_error",32,step_error,32,"");
> (step_error);;
> end;
estimated_needed_step_error := proc(
x_start, x_end, estimated_h, estimated_answer)
local desired_abs_gbl_error, range, estimated_steps, step_error;
global glob_desired_digits_correct, ALWAYS;
omniout_float(ALWAYS, "glob_desired_digits_correct", 32,
glob_desired_digits_correct, 32, "");
desired_abs_gbl_error :=
expt(10.0, -glob_desired_digits_correct)*omniabs(estimated_answer);
omniout_float(ALWAYS, "desired_abs_gbl_error", 32,
desired_abs_gbl_error, 32, "");
range := x_end - x_start;
omniout_float(ALWAYS, "range", 32, range, 32, "");
estimated_steps := range/estimated_h;
omniout_float(ALWAYS, "estimated_steps", 32, estimated_steps, 32, "");
step_error := omniabs(desired_abs_gbl_error/estimated_steps);
omniout_float(ALWAYS, "step_error", 32, step_error, 32, "");
step_error
end proc
> # End Function number 36
> #END ATS LIBRARY BLOCK
> #BEGIN USER DEF BLOCK
> #BEGIN USER DEF BLOCK
> exact_soln_y := proc(x)
> return(cosh(2.0*x+3.0)/2.0);
> end;
exact_soln_y := proc(x) return cosh(2.0*x + 3.0)/2.0 end proc
> #END USER DEF BLOCK
> #END USER DEF BLOCK
> #END OUTFILE5
> # Begin Function number 2
> main := proc()
> #BEGIN OUTFIEMAIN
> local d1,d2,d3,d4,est_err_2,niii,done_once,
> term,ord,order_diff,term_no,html_log_file,iiif,jjjf,
> rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter,
> x_start,x_end
> ,it, log10norm, max_terms, opt_iter, tmp,subiter, est_needed_step_err,value3,min_value,est_answer,best_h,found_h,repeat_it;
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> glob_last;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> glob_iolevel := INFO;
> glob_max_terms := 30;
> glob_iolevel := 5;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> MAX_UNCHANGED := 10;
> glob_check_sign := 1.0;
> glob_desired_digits_correct := 8.0;
> glob_max_value3 := 0.0;
> glob_ratio_of_radius := 0.01;
> glob_percent_done := 0.0;
> glob_subiter_method := 3;
> glob_log10normmin := 0.1;
> glob_total_exp_sec := 0.1;
> glob_optimal_expect_sec := 0.1;
> glob_html_log := true;
> glob_good_digits := 0;
> glob_max_opt_iter := 10;
> glob_dump := false;
> glob_djd_debug := true;
> glob_display_flag := true;
> glob_djd_debug2 := true;
> glob_sec_in_minute := 60;
> glob_min_in_hour := 60;
> glob_hours_in_day := 24;
> glob_days_in_year := 365;
> glob_sec_in_hour := 3600;
> glob_sec_in_day := 86400;
> glob_sec_in_year := 31536000;
> glob_almost_1 := 0.9990;
> glob_clock_sec := 0.0;
> glob_clock_start_sec := 0.0;
> glob_not_yet_finished := true;
> glob_initial_pass := true;
> glob_not_yet_start_msg := true;
> glob_reached_optimal_h := false;
> glob_optimal_done := false;
> glob_disp_incr := 0.1;
> glob_h := 0.1;
> glob_hmax := 1.0;
> glob_hmin := 0.00000000001;
> glob_hmin_init := 0.001;
> glob_large_float := 9.0e100;
> glob_last_good_h := 0.1;
> glob_look_poles := false;
> glob_neg_h := false;
> glob_display_interval := 0.0;
> glob_next_display := 0.0;
> glob_dump_analytic := false;
> glob_log10_abserr := 0.1e-10;
> glob_log10_relerr := 0.1e-10;
> glob_abserr := 0.1e-10;
> glob_relerr := 0.1e-10;
> glob_max_hours := 0.0;
> glob_max_iter := 1000;
> glob_max_rel_trunc_err := 0.1e-10;
> glob_max_trunc_err := 0.1e-10;
> glob_no_eqs := 0;
> glob_optimal_clock_start_sec := 0.0;
> glob_optimal_start := 0.0;
> glob_small_float := 0.1e-50;
> glob_smallish_float := 0.1e-100;
> glob_unchanged_h_cnt := 0;
> glob_warned := false;
> glob_warned2 := false;
> glob_max_sec := 10000.0;
> glob_orig_start_sec := 0.0;
> glob_start := 0;
> glob_curr_iter_when_opt := 0;
> glob_current_iter := 0;
> glob_iter := 0;
> glob_normmax := 0.0;
> glob_log10abserr := 0.0;
> glob_log10relerr := 0.0;
> glob_max_minutes := 0.0;
> #Write Set Defaults
> glob_orig_start_sec := elapsed_time_seconds();
> MAX_UNCHANGED := 10;
> glob_curr_iter_when_opt := 0;
> glob_display_flag := true;
> glob_no_eqs := 1;
> glob_iter := -1;
> opt_iter := -1;
> glob_max_iter := 50000;
> glob_max_hours := 0.0;
> glob_max_minutes := 15.0;
> omniout_str(ALWAYS,"##############ECHO OF PROBLEM#################");
> omniout_str(ALWAYS,"##############temp/lin_sinhpostode.ode#################");
> omniout_str(ALWAYS,"diff ( y , x , 1 ) = sinh (2.0 * x + 3.0) ;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"Digits:=32;");
> omniout_str(ALWAYS,"max_terms:=30;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#END FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"x_start := 0.0;");
> omniout_str(ALWAYS,"x_end := 10.0 ;");
> omniout_str(ALWAYS,"array_y_init[0 + 1] := exact_soln_y(x_start);");
> omniout_str(ALWAYS,"glob_h := 0.00001 ;");
> omniout_str(ALWAYS,"glob_look_poles := true;");
> omniout_str(ALWAYS,"glob_max_iter := 10;");
> omniout_str(ALWAYS,"#END SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK");
> omniout_str(ALWAYS,"glob_desired_digits_correct:=10;");
> omniout_str(ALWAYS,"glob_display_interval:=0.001;");
> omniout_str(ALWAYS,"glob_look_poles:=true;");
> omniout_str(ALWAYS,"glob_max_iter:=10000000;");
> omniout_str(ALWAYS,"glob_max_minutes:=3;");
> omniout_str(ALWAYS,"glob_subiter_method:=3;");
> omniout_str(ALWAYS,"#END OVERRIDE BLOCK");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN USER DEF BLOCK");
> omniout_str(ALWAYS,"exact_soln_y := proc(x)");
> omniout_str(ALWAYS,"return(cosh(2.0*x+3.0)/2.0);");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"");
> omniout_str(ALWAYS,"#END USER DEF BLOCK");
> omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################");
> glob_unchanged_h_cnt := 0;
> glob_warned := false;
> glob_warned2 := false;
> glob_small_float := 1.0e-200;
> glob_smallish_float := 1.0e-64;
> glob_large_float := 1.0e100;
> glob_almost_1 := 0.99;
> glob_log10_abserr := -8.0;
> glob_log10_relerr := -8.0;
> glob_hmax := 0.01;
> #BEGIN FIRST INPUT BLOCK
> #BEGIN FIRST INPUT BLOCK
> Digits:=32;
> max_terms:=30;
> #END FIRST INPUT BLOCK
> #START OF INITS AFTER INPUT BLOCK
> glob_max_terms := max_terms;
> glob_html_log := true;
> #END OF INITS AFTER INPUT BLOCK
> array_y_init:= Array(0..(max_terms + 1),[]);
> array_norms:= Array(0..(max_terms + 1),[]);
> array_fact_1:= Array(0..(max_terms + 1),[]);
> array_pole:= Array(0..(max_terms + 1),[]);
> array_1st_rel_error:= Array(0..(max_terms + 1),[]);
> array_last_rel_error:= Array(0..(max_terms + 1),[]);
> array_type_pole:= Array(0..(max_terms + 1),[]);
> array_y:= Array(0..(max_terms + 1),[]);
> array_x:= Array(0..(max_terms + 1),[]);
> array_tmp0:= Array(0..(max_terms + 1),[]);
> array_tmp1:= Array(0..(max_terms + 1),[]);
> array_tmp2:= Array(0..(max_terms + 1),[]);
> array_tmp3_g:= Array(0..(max_terms + 1),[]);
> array_tmp3:= Array(0..(max_terms + 1),[]);
> array_tmp4:= Array(0..(max_terms + 1),[]);
> array_m1:= Array(0..(max_terms + 1),[]);
> array_y_higher := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_higher_work := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_higher_work2 := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_set_initial := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_poles := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_real_pole := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_complex_pole := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_fact_2 := Array(0..(max_terms+ 1) ,(0..max_terms+ 1),[]);
> term := 1;
> while (term <= max_terms) do # do number 2
> array_y_init[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_norms[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_fact_1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_1st_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_last_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_type_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_y[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp3_g[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_higher[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_higher_work[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_higher_work2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_set_initial[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=1) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_poles[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=1) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_real_pole[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=1) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_complex_pole[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=max_terms) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_fact_2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> #BEGIN ARRAYS DEFINED AND INITIALIZATED
> array_y := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_y[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_x := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp3_g := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp3_g[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp3 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp4 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_1[1] := 1;
> array_const_0D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_0D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_0D0[1] := 0.0;
> array_const_2D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_2D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_2D0[1] := 2.0;
> array_const_3D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_3D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_3D0[1] := 3.0;
> array_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_m1[1] := -1.0;
> #END ARRAYS DEFINED AND INITIALIZATED
> #Initing Factorial Tables
> iiif := 0;
> while (iiif <= glob_max_terms) do # do number 2
> jjjf := 0;
> while (jjjf <= glob_max_terms) do # do number 3
> array_fact_1[iiif] := 0;
> array_fact_2[iiif,jjjf] := 0;
> jjjf := jjjf + 1;
> od;# end do number 3;
> iiif := iiif + 1;
> od;# end do number 2;
> #Done Initing Factorial Tables
> #TOP SECOND INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> #END FIRST INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> x_start := 0.0;
> x_end := 10.0 ;
> array_y_init[0 + 1] := exact_soln_y(x_start);
> glob_h := 0.00001 ;
> glob_look_poles := true;
> glob_max_iter := 10;
> #END SECOND INPUT BLOCK
> #BEGIN OVERRIDE BLOCK
> glob_desired_digits_correct:=10;
> glob_display_interval:=0.001;
> glob_look_poles:=true;
> glob_max_iter:=10000000;
> glob_max_minutes:=3;
> glob_subiter_method:=3;
> #END OVERRIDE BLOCK
> #END SECOND INPUT BLOCK
> #BEGIN INITS AFTER SECOND INPUT BLOCK
> glob_last_good_h := glob_h;
> glob_max_terms := max_terms;
> glob_max_sec := convfloat(60.0) * convfloat(glob_max_minutes) + convfloat(3600.0) * convfloat(glob_max_hours);
> glob_abserr := expt(10.0 , (glob_log10_abserr));
> glob_relerr := expt(10.0 , (glob_log10_relerr));
> if (glob_h > 0.0) then # if number 1
> glob_neg_h := false;
> glob_display_interval := omniabs(glob_display_interval);
> else
> glob_neg_h := true;
> glob_display_interval := -omniabs(glob_display_interval);
> fi;# end if 1;
> chk_data();
> #AFTER INITS AFTER SECOND INPUT BLOCK
> array_y_set_initial[1,1] := true;
> array_y_set_initial[1,2] := false;
> array_y_set_initial[1,3] := false;
> array_y_set_initial[1,4] := false;
> array_y_set_initial[1,5] := false;
> array_y_set_initial[1,6] := false;
> array_y_set_initial[1,7] := false;
> array_y_set_initial[1,8] := false;
> array_y_set_initial[1,9] := false;
> array_y_set_initial[1,10] := false;
> array_y_set_initial[1,11] := false;
> array_y_set_initial[1,12] := false;
> array_y_set_initial[1,13] := false;
> array_y_set_initial[1,14] := false;
> array_y_set_initial[1,15] := false;
> array_y_set_initial[1,16] := false;
> array_y_set_initial[1,17] := false;
> array_y_set_initial[1,18] := false;
> array_y_set_initial[1,19] := false;
> array_y_set_initial[1,20] := false;
> array_y_set_initial[1,21] := false;
> array_y_set_initial[1,22] := false;
> array_y_set_initial[1,23] := false;
> array_y_set_initial[1,24] := false;
> array_y_set_initial[1,25] := false;
> array_y_set_initial[1,26] := false;
> array_y_set_initial[1,27] := false;
> array_y_set_initial[1,28] := false;
> array_y_set_initial[1,29] := false;
> array_y_set_initial[1,30] := false;
> #BEGIN OPTIMIZE CODE
> omniout_str(ALWAYS,"START of Optimize");
> #Start Series -- INITIALIZE FOR OPTIMIZE
> glob_check_sign := check_sign(x_start,x_end);
> glob_h := check_sign(x_start,x_end);
> if (glob_display_interval < glob_h) then # if number 2
> glob_h := glob_display_interval;
> fi;# end if 2;
> found_h := -1.0;
> best_h := 0.0;
> min_value := glob_large_float;
> est_answer := est_size_answer();
> opt_iter := 1;
> while ((opt_iter <= 20) and (found_h < 0.0)) do # do number 2
> omniout_int(ALWAYS,"opt_iter",32,opt_iter,4,"");
> array_x[1] := x_start;
> array_x[2] := glob_h;
> glob_next_display := x_start;
> order_diff := 1;
> #Start Series array_y
> term_no := 1;
> while (term_no <= order_diff) do # do number 3
> array_y[term_no] := array_y_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 3;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 3
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 4
> it := term_no + r_order - 1;
> array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 4;
> r_order := r_order + 1;
> od;# end do number 3
> ;
> atomall();
> est_needed_step_err := estimated_needed_step_error(x_start,x_end,glob_h,est_answer);
> omniout_float(ALWAYS,"est_needed_step_err",32,est_needed_step_err,16,"");
> value3 := test_suggested_h();
> omniout_float(ALWAYS,"value3",32,value3,32,"");
> if ((value3 < est_needed_step_err) and (found_h < 0.0)) then # if number 2
> best_h := glob_h;
> found_h := 1.0;
> fi;# end if 2;
> omniout_float(ALWAYS,"best_h",32,best_h,32,"");
> opt_iter := opt_iter + 1;
> glob_h := glob_h * 0.5;
> od;# end do number 2;
> if (found_h > 0.0) then # if number 2
> glob_h := best_h ;
> else
> omniout_str(ALWAYS,"No increment to obtain desired accuracy found");
> fi;# end if 2;
> #END OPTIMIZE CODE
> if (glob_html_log) then # if number 2
> html_log_file := fopen("html/entry.html",WRITE,TEXT);
> fi;# end if 2;
> #BEGIN SOLUTION CODE
> if (found_h > 0.0) then # if number 2
> omniout_str(ALWAYS,"START of Soultion");
> #Start Series -- INITIALIZE FOR SOLUTION
> array_x[1] := x_start;
> array_x[2] := glob_h;
> glob_next_display := x_start;
> order_diff := 1;
> #Start Series array_y
> term_no := 1;
> while (term_no <= order_diff) do # do number 2
> array_y[term_no] := array_y_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 2;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 2
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 3
> it := term_no + r_order - 1;
> array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 3;
> r_order := r_order + 1;
> od;# end do number 2
> ;
> current_iter := 1;
> glob_clock_start_sec := elapsed_time_seconds();
> glob_log10normmin := -glob_large_float ;
> if (omniabs(array_y_higher[1,1]) > glob_small_float) then # if number 3
> tmp := omniabs(array_y_higher[1,1]);
> log10norm := (log10(tmp));
> if (log10norm < glob_log10normmin) then # if number 4
> glob_log10normmin := log10norm;
> fi;# end if 4
> fi;# end if 3;
> display_alot(current_iter)
> ;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := 0;
> glob_iter := 0;
> omniout_str(DEBUGL," ");
> glob_reached_optimal_h := true;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> while ((glob_current_iter < glob_max_iter) and ((glob_check_sign * array_x[1]) < (glob_check_sign * x_end )) and ((convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec)) < convfloat(glob_max_sec))) do # do number 2
> #left paren 0001C
> if (reached_interval()) then # if number 3
> omniout_str(INFO," ");
> omniout_str(INFO,"TOP MAIN SOLVE Loop");
> fi;# end if 3;
> glob_iter := glob_iter + 1;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := glob_current_iter + 1;
> atomall();
> display_alot(current_iter);
> if (glob_look_poles) then # if number 3
> #left paren 0004C
> check_for_pole();
> fi;# end if 3;#was right paren 0004C
> if (reached_interval()) then # if number 3
> glob_next_display := glob_next_display + glob_display_interval;
> fi;# end if 3;
> array_x[1] := array_x[1] + glob_h;
> array_x[2] := glob_h;
> #Jump Series array_y;
> order_diff := 2;
> #START PART 1 SUM AND ADJUST
> #START SUM AND ADJUST EQ =1
> #sum_and_adjust array_y
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 2;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[2,iii] := array_y_higher[2,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 2;
> calc_term := 1;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 2;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 2;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 1;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #END SUM AND ADJUST EQ =1
> #END PART 1
> #START PART 2 MOVE TERMS to REGULAR Array
> term_no := glob_max_terms;
> while (term_no >= 1) do # do number 3
> array_y[term_no] := array_y_higher_work2[1,term_no];
> ord := 1;
> while (ord <= order_diff) do # do number 4
> array_y_higher[ord,term_no] := array_y_higher_work2[ord,term_no];
> ord := ord + 1;
> od;# end do number 4;
> term_no := term_no - 1;
> od;# end do number 3;
> #END PART 2 HEVE MOVED TERMS to REGULAR Array
> ;
> od;# end do number 2;#right paren 0001C
> omniout_str(ALWAYS,"Finished!");
> if (glob_iter >= glob_max_iter) then # if number 3
> omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!");
> fi;# end if 3;
> if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 3
> omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!");
> fi;# end if 3;
> glob_clock_sec := elapsed_time_seconds();
> omniout_str(INFO,"diff ( y , x , 1 ) = sinh (2.0 * x + 3.0) ;");
> omniout_int(INFO,"Iterations ",32,glob_iter,4," ")
> ;
> prog_report(x_start,x_end);
> if (glob_html_log) then # if number 3
> logstart(html_log_file);
> logitem_str(html_log_file,"2013-01-13T00:08:32-06:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> logitem_str(html_log_file,"lin_sinh")
> ;
> logitem_str(html_log_file,"diff ( y , x , 1 ) = sinh (2.0 * x + 3.0) ;")
> ;
> logitem_float(html_log_file,x_start)
> ;
> logitem_float(html_log_file,x_end)
> ;
> logitem_float(html_log_file,array_x[1])
> ;
> logitem_float(html_log_file,glob_h)
> ;
> logitem_integer(html_log_file,Digits)
> ;
> ;
> logitem_good_digits(html_log_file,array_last_rel_error[1])
> ;
> logitem_integer(html_log_file,glob_max_terms)
> ;
> logitem_float(html_log_file,array_1st_rel_error[1])
> ;
> logitem_float(html_log_file,array_last_rel_error[1])
> ;
> logitem_integer(html_log_file,glob_iter)
> ;
> logitem_pole(html_log_file,array_type_pole[1])
> ;
> if (array_type_pole[1] = 1 or array_type_pole[1] = 2) then # if number 4
> logitem_float(html_log_file,array_pole[1])
> ;
> logitem_float(html_log_file,array_pole[2])
> ;
> 0;
> else
> logitem_str(html_log_file,"NA")
> ;
> logitem_str(html_log_file,"NA")
> ;
> 0;
> fi;# end if 4;
> logitem_time(html_log_file,convfloat(glob_clock_sec))
> ;
> if (glob_percent_done < 100.0) then # if number 4
> logitem_time(html_log_file,convfloat(glob_total_exp_sec))
> ;
> 0;
> else
> logitem_str(html_log_file,"Done")
> ;
> 0;
> fi;# end if 4;
> log_revs(html_log_file," 156 | ")
> ;
> logitem_str(html_log_file,"lin_sinh diffeq.mxt")
> ;
> logitem_str(html_log_file,"lin_sinh maple results")
> ;
> logitem_str(html_log_file,"Languages compared - single equations")
> ;
> logend(html_log_file)
> ;
> ;
> fi;# end if 3;
> if (glob_html_log) then # if number 3
> fclose(html_log_file);
> fi;# end if 3
> ;
> ;;
> fi;# end if 2
> #END OUTFILEMAIN
> end;
main := proc()
local d1, d2, d3, d4, est_err_2, niii, done_once, term, ord, order_diff,
term_no, html_log_file, iiif, jjjf, rows, r_order, sub_iter, calc_term, iii,
temp_sum, current_iter, x_start, x_end, it, log10norm, max_terms, opt_iter,
tmp, subiter, est_needed_step_err, value3, min_value, est_answer, best_h,
found_h, repeat_it;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_3D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_g, array_tmp3, array_tmp4, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
glob_last;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
glob_iolevel := INFO;
glob_max_terms := 30;
glob_iolevel := 5;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
MAX_UNCHANGED := 10;
glob_check_sign := 1.0;
glob_desired_digits_correct := 8.0;
glob_max_value3 := 0.;
glob_ratio_of_radius := 0.01;
glob_percent_done := 0.;
glob_subiter_method := 3;
glob_log10normmin := 0.1;
glob_total_exp_sec := 0.1;
glob_optimal_expect_sec := 0.1;
glob_html_log := true;
glob_good_digits := 0;
glob_max_opt_iter := 10;
glob_dump := false;
glob_djd_debug := true;
glob_display_flag := true;
glob_djd_debug2 := true;
glob_sec_in_minute := 60;
glob_min_in_hour := 60;
glob_hours_in_day := 24;
glob_days_in_year := 365;
glob_sec_in_hour := 3600;
glob_sec_in_day := 86400;
glob_sec_in_year := 31536000;
glob_almost_1 := 0.9990;
glob_clock_sec := 0.;
glob_clock_start_sec := 0.;
glob_not_yet_finished := true;
glob_initial_pass := true;
glob_not_yet_start_msg := true;
glob_reached_optimal_h := false;
glob_optimal_done := false;
glob_disp_incr := 0.1;
glob_h := 0.1;
glob_hmax := 1.0;
glob_hmin := 0.1*10^(-10);
glob_hmin_init := 0.001;
glob_large_float := 0.90*10^101;
glob_last_good_h := 0.1;
glob_look_poles := false;
glob_neg_h := false;
glob_display_interval := 0.;
glob_next_display := 0.;
glob_dump_analytic := false;
glob_log10_abserr := 0.1*10^(-10);
glob_log10_relerr := 0.1*10^(-10);
glob_abserr := 0.1*10^(-10);
glob_relerr := 0.1*10^(-10);
glob_max_hours := 0.;
glob_max_iter := 1000;
glob_max_rel_trunc_err := 0.1*10^(-10);
glob_max_trunc_err := 0.1*10^(-10);
glob_no_eqs := 0;
glob_optimal_clock_start_sec := 0.;
glob_optimal_start := 0.;
glob_small_float := 0.1*10^(-50);
glob_smallish_float := 0.1*10^(-100);
glob_unchanged_h_cnt := 0;
glob_warned := false;
glob_warned2 := false;
glob_max_sec := 10000.0;
glob_orig_start_sec := 0.;
glob_start := 0;
glob_curr_iter_when_opt := 0;
glob_current_iter := 0;
glob_iter := 0;
glob_normmax := 0.;
glob_log10abserr := 0.;
glob_log10relerr := 0.;
glob_max_minutes := 0.;
glob_orig_start_sec := elapsed_time_seconds();
MAX_UNCHANGED := 10;
glob_curr_iter_when_opt := 0;
glob_display_flag := true;
glob_no_eqs := 1;
glob_iter := -1;
opt_iter := -1;
glob_max_iter := 50000;
glob_max_hours := 0.;
glob_max_minutes := 15.0;
omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################");
omniout_str(ALWAYS,
"##############temp/lin_sinhpostode.ode#################");
omniout_str(ALWAYS, "diff ( y , x , 1 ) = sinh (2.0 * x + 3.0) ;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK");
omniout_str(ALWAYS, "Digits:=32;");
omniout_str(ALWAYS, "max_terms:=30;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#END FIRST INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK");
omniout_str(ALWAYS, "x_start := 0.0;");
omniout_str(ALWAYS, "x_end := 10.0 ;");
omniout_str(ALWAYS, "array_y_init[0 + 1] := exact_soln_y(x_start);");
omniout_str(ALWAYS, "glob_h := 0.00001 ;");
omniout_str(ALWAYS, "glob_look_poles := true;");
omniout_str(ALWAYS, "glob_max_iter := 10;");
omniout_str(ALWAYS, "#END SECOND INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK");
omniout_str(ALWAYS, "glob_desired_digits_correct:=10;");
omniout_str(ALWAYS, "glob_display_interval:=0.001;");
omniout_str(ALWAYS, "glob_look_poles:=true;");
omniout_str(ALWAYS, "glob_max_iter:=10000000;");
omniout_str(ALWAYS, "glob_max_minutes:=3;");
omniout_str(ALWAYS, "glob_subiter_method:=3;");
omniout_str(ALWAYS, "#END OVERRIDE BLOCK");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN USER DEF BLOCK");
omniout_str(ALWAYS, "exact_soln_y := proc(x)");
omniout_str(ALWAYS, "return(cosh(2.0*x+3.0)/2.0);");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "");
omniout_str(ALWAYS, "#END USER DEF BLOCK");
omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################");
glob_unchanged_h_cnt := 0;
glob_warned := false;
glob_warned2 := false;
glob_small_float := 0.10*10^(-199);
glob_smallish_float := 0.10*10^(-63);
glob_large_float := 0.10*10^101;
glob_almost_1 := 0.99;
glob_log10_abserr := -8.0;
glob_log10_relerr := -8.0;
glob_hmax := 0.01;
Digits := 32;
max_terms := 30;
glob_max_terms := max_terms;
glob_html_log := true;
array_y_init := Array(0 .. max_terms + 1, []);
array_norms := Array(0 .. max_terms + 1, []);
array_fact_1 := Array(0 .. max_terms + 1, []);
array_pole := Array(0 .. max_terms + 1, []);
array_1st_rel_error := Array(0 .. max_terms + 1, []);
array_last_rel_error := Array(0 .. max_terms + 1, []);
array_type_pole := Array(0 .. max_terms + 1, []);
array_y := Array(0 .. max_terms + 1, []);
array_x := Array(0 .. max_terms + 1, []);
array_tmp0 := Array(0 .. max_terms + 1, []);
array_tmp1 := Array(0 .. max_terms + 1, []);
array_tmp2 := Array(0 .. max_terms + 1, []);
array_tmp3_g := Array(0 .. max_terms + 1, []);
array_tmp3 := Array(0 .. max_terms + 1, []);
array_tmp4 := Array(0 .. max_terms + 1, []);
array_m1 := Array(0 .. max_terms + 1, []);
array_y_higher := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_higher_work := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_higher_work2 := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_set_initial := Array(0 .. 3, 0 .. max_terms + 1, []);
array_poles := Array(0 .. 2, 0 .. 4, []);
array_real_pole := Array(0 .. 2, 0 .. 4, []);
array_complex_pole := Array(0 .. 2, 0 .. 4, []);
array_fact_2 := Array(0 .. max_terms + 1, 0 .. max_terms + 1, []);
term := 1;
while term <= max_terms do array_y_init[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_norms[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_fact_1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_1st_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_last_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_type_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_y[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_x[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_tmp0[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp3_g[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp3[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp4[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher_work[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher_work2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_set_initial[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do array_poles[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do
array_real_pole[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do
array_complex_pole[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= max_terms do
term := 1;
while term <= max_terms do
array_fact_2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
array_y := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_y[term] := 0.; term := term + 1
end do;
array_x := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_x[term] := 0.; term := term + 1
end do;
array_tmp0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp0[term] := 0.; term := term + 1
end do;
array_tmp1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp1[term] := 0.; term := term + 1
end do;
array_tmp2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1
end do;
array_tmp3_g := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp3_g[term] := 0.; term := term + 1
end do;
array_tmp3 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1
end do;
array_tmp4 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp4[term] := 0.; term := term + 1
end do;
array_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1
end do;
array_const_1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_1[term] := 0.; term := term + 1
end do;
array_const_1[1] := 1;
array_const_0D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D0[term] := 0.; term := term + 1
end do;
array_const_0D0[1] := 0.;
array_const_2D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_2D0[term] := 0.; term := term + 1
end do;
array_const_2D0[1] := 2.0;
array_const_3D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_3D0[term] := 0.; term := term + 1
end do;
array_const_3D0[1] := 3.0;
array_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
array_m1[1] := -1.0;
iiif := 0;
while iiif <= glob_max_terms do
jjjf := 0;
while jjjf <= glob_max_terms do
array_fact_1[iiif] := 0;
array_fact_2[iiif, jjjf] := 0;
jjjf := jjjf + 1
end do;
iiif := iiif + 1
end do;
x_start := 0.;
x_end := 10.0;
array_y_init[1] := exact_soln_y(x_start);
glob_h := 0.00001;
glob_look_poles := true;
glob_max_iter := 10;
glob_desired_digits_correct := 10;
glob_display_interval := 0.001;
glob_look_poles := true;
glob_max_iter := 10000000;
glob_max_minutes := 3;
glob_subiter_method := 3;
glob_last_good_h := glob_h;
glob_max_terms := max_terms;
glob_max_sec := convfloat(60.0)*convfloat(glob_max_minutes)
+ convfloat(3600.0)*convfloat(glob_max_hours);
glob_abserr := expt(10.0, glob_log10_abserr);
glob_relerr := expt(10.0, glob_log10_relerr);
if 0. < glob_h then
glob_neg_h := false;
glob_display_interval := omniabs(glob_display_interval)
else
glob_neg_h := true;
glob_display_interval := -omniabs(glob_display_interval)
end if;
chk_data();
array_y_set_initial[1, 1] := true;
array_y_set_initial[1, 2] := false;
array_y_set_initial[1, 3] := false;
array_y_set_initial[1, 4] := false;
array_y_set_initial[1, 5] := false;
array_y_set_initial[1, 6] := false;
array_y_set_initial[1, 7] := false;
array_y_set_initial[1, 8] := false;
array_y_set_initial[1, 9] := false;
array_y_set_initial[1, 10] := false;
array_y_set_initial[1, 11] := false;
array_y_set_initial[1, 12] := false;
array_y_set_initial[1, 13] := false;
array_y_set_initial[1, 14] := false;
array_y_set_initial[1, 15] := false;
array_y_set_initial[1, 16] := false;
array_y_set_initial[1, 17] := false;
array_y_set_initial[1, 18] := false;
array_y_set_initial[1, 19] := false;
array_y_set_initial[1, 20] := false;
array_y_set_initial[1, 21] := false;
array_y_set_initial[1, 22] := false;
array_y_set_initial[1, 23] := false;
array_y_set_initial[1, 24] := false;
array_y_set_initial[1, 25] := false;
array_y_set_initial[1, 26] := false;
array_y_set_initial[1, 27] := false;
array_y_set_initial[1, 28] := false;
array_y_set_initial[1, 29] := false;
array_y_set_initial[1, 30] := false;
omniout_str(ALWAYS, "START of Optimize");
glob_check_sign := check_sign(x_start, x_end);
glob_h := check_sign(x_start, x_end);
if glob_display_interval < glob_h then glob_h := glob_display_interval
end if;
found_h := -1.0;
best_h := 0.;
min_value := glob_large_float;
est_answer := est_size_answer();
opt_iter := 1;
while opt_iter <= 20 and found_h < 0. do
omniout_int(ALWAYS, "opt_iter", 32, opt_iter, 4, "");
array_x[1] := x_start;
array_x[2] := glob_h;
glob_next_display := x_start;
order_diff := 1;
term_no := 1;
while term_no <= order_diff do
array_y[term_no] := array_y_init[term_no]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_y_higher[r_order, term_no] := array_y_init[it]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
atomall();
est_needed_step_err :=
estimated_needed_step_error(x_start, x_end, glob_h, est_answer)
;
omniout_float(ALWAYS, "est_needed_step_err", 32,
est_needed_step_err, 16, "");
value3 := test_suggested_h();
omniout_float(ALWAYS, "value3", 32, value3, 32, "");
if value3 < est_needed_step_err and found_h < 0. then
best_h := glob_h; found_h := 1.0
end if;
omniout_float(ALWAYS, "best_h", 32, best_h, 32, "");
opt_iter := opt_iter + 1;
glob_h := glob_h*0.5
end do;
if 0. < found_h then glob_h := best_h
else omniout_str(ALWAYS,
"No increment to obtain desired accuracy found")
end if;
if glob_html_log then
html_log_file := fopen("html/entry.html", WRITE, TEXT)
end if;
if 0. < found_h then
omniout_str(ALWAYS, "START of Soultion");
array_x[1] := x_start;
array_x[2] := glob_h;
glob_next_display := x_start;
order_diff := 1;
term_no := 1;
while term_no <= order_diff do
array_y[term_no] := array_y_init[term_no]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_y_higher[r_order, term_no] := array_y_init[it]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
current_iter := 1;
glob_clock_start_sec := elapsed_time_seconds();
glob_log10normmin := -glob_large_float;
if glob_small_float < omniabs(array_y_higher[1, 1]) then
tmp := omniabs(array_y_higher[1, 1]);
log10norm := log10(tmp);
if log10norm < glob_log10normmin then
glob_log10normmin := log10norm
end if
end if;
display_alot(current_iter);
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := 0;
glob_iter := 0;
omniout_str(DEBUGL, " ");
glob_reached_optimal_h := true;
glob_optimal_clock_start_sec := elapsed_time_seconds();
while glob_current_iter < glob_max_iter and
glob_check_sign*array_x[1] < glob_check_sign*x_end and
convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) <
convfloat(glob_max_sec) do
if reached_interval() then
omniout_str(INFO, " ");
omniout_str(INFO, "TOP MAIN SOLVE Loop")
end if;
glob_iter := glob_iter + 1;
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := glob_current_iter + 1;
atomall();
display_alot(current_iter);
if glob_look_poles then check_for_pole() end if;
if reached_interval() then glob_next_display :=
glob_next_display + glob_display_interval
end if;
array_x[1] := array_x[1] + glob_h;
array_x[2] := glob_h;
order_diff := 2;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[2, iii] := array_y_higher[2, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
term_no := glob_max_terms;
while 1 <= term_no do
array_y[term_no] := array_y_higher_work2[1, term_no];
ord := 1;
while ord <= order_diff do
array_y_higher[ord, term_no] :=
array_y_higher_work2[ord, term_no];
ord := ord + 1
end do;
term_no := term_no - 1
end do
end do;
omniout_str(ALWAYS, "Finished!");
if glob_max_iter <= glob_iter then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!")
end if;
if convfloat(glob_max_sec) <=
elapsed_time_seconds() - convfloat(glob_orig_start_sec) then
omniout_str(ALWAYS,
"Maximum Time Reached before Solution Completed!")
end if;
glob_clock_sec := elapsed_time_seconds();
omniout_str(INFO, "diff ( y , x , 1 ) = sinh (2.0 * x + 3.0) ;");
omniout_int(INFO, "Iterations ", 32,
glob_iter, 4, " ");
prog_report(x_start, x_end);
if glob_html_log then
logstart(html_log_file);
logitem_str(html_log_file, "2013-01-13T00:08:32-06:00");
logitem_str(html_log_file, "Maple");
logitem_str(html_log_file,
"lin_sinh");
logitem_str(html_log_file,
"diff ( y , x , 1 ) = sinh (2.0 * x + 3.0) ;");
logitem_float(html_log_file, x_start);
logitem_float(html_log_file, x_end);
logitem_float(html_log_file, array_x[1]);
logitem_float(html_log_file, glob_h);
logitem_integer(html_log_file, Digits);
logitem_good_digits(html_log_file, array_last_rel_error[1]);
logitem_integer(html_log_file, glob_max_terms);
logitem_float(html_log_file, array_1st_rel_error[1]);
logitem_float(html_log_file, array_last_rel_error[1]);
logitem_integer(html_log_file, glob_iter);
logitem_pole(html_log_file, array_type_pole[1]);
if array_type_pole[1] = 1 or array_type_pole[1] = 2 then
logitem_float(html_log_file, array_pole[1]);
logitem_float(html_log_file, array_pole[2]);
0
else
logitem_str(html_log_file, "NA");
logitem_str(html_log_file, "NA");
0
end if;
logitem_time(html_log_file, convfloat(glob_clock_sec));
if glob_percent_done < 100.0 then
logitem_time(html_log_file, convfloat(glob_total_exp_sec));
0
else logitem_str(html_log_file, "Done"); 0
end if;
log_revs(html_log_file, " 156 | ");
logitem_str(html_log_file, "lin_sinh diffeq.mxt");
logitem_str(html_log_file, "lin_sinh maple results");
logitem_str(html_log_file,
"Languages compared - single equations");
logend(html_log_file)
end if;
if glob_html_log then fclose(html_log_file) end if
end if
end proc
> # End Function number 12
> main();
##############ECHO OF PROBLEM#################
##############temp/lin_sinhpostode.ode#################
diff ( y , x , 1 ) = sinh (2.0 * x + 3.0) ;
!
#BEGIN FIRST INPUT BLOCK
Digits:=32;
max_terms:=30;
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start := 0.0;
x_end := 10.0 ;
array_y_init[0 + 1] := exact_soln_y(x_start);
glob_h := 0.00001 ;
glob_look_poles := true;
glob_max_iter := 10;
#END SECOND INPUT BLOCK
#BEGIN OVERRIDE BLOCK
glob_desired_digits_correct:=10;
glob_display_interval:=0.001;
glob_look_poles:=true;
glob_max_iter:=10000000;
glob_max_minutes:=3;
glob_subiter_method:=3;
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
exact_soln_y := proc(x)
return(cosh(2.0*x+3.0)/2.0);
end;
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Optimize
min_size = 0
min_size = 1
opt_iter = 1
glob_desired_digits_correct = 10
desired_abs_gbl_error = 1.0000000000000000000000000000000e-10
range = 10
estimated_steps = 10000
step_error = 1.0000000000000000000000000000000e-14
est_needed_step_err = 1.0000000000000000000000000000000e-14
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
value3 = 8.3761314624468092913385411074491e-97
max_value3 = 8.3761314624468092913385411074491e-97
value3 = 8.3761314624468092913385411074491e-97
best_h = 0.001
START of Soultion
x[1] = 0
y[1] (analytic) = 5.033830997888882920976968017558
y[1] (numeric) = 5.033830997888882920976968017558
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
x[1] = 0
y[1] (analytic) = 5.033830997888882920976968017558
y[1] (numeric) = 5.033830997888882920976968017558
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.001
y[1] (analytic) = 5.043858947160229109077880961699
y[1] (numeric) = 5.043858947160229109077626475557
absolute error = 2.544861420e-22
relative error = 5.0454650827077479779717917161717e-21 %
Correct digits = 22
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.002
y[1] (analytic) = 5.0539070718740890842547966219425
y[1] (numeric) = 5.0539070718740890842542871376485
absolute error = 5.094842940e-22
relative error = 1.0080998458309070338899907359534e-20 %
Correct digits = 21
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.003
y[1] (analytic) = 5.0639754122229750994490205193275
y[1] (numeric) = 5.0639754122229750994482555238521
absolute error = 7.649954754e-22
relative error = 1.5106619071520799894079181524723e-20 %
Correct digits = 21
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.004
y[1] (analytic) = 5.0740640084802619746602018727385
y[1] (numeric) = 5.0740640084802619746591808520292
absolute error = 1.0210207093e-21
relative error = 2.0122345867012563401449506190921e-20 %
Correct digits = 21
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.005
y[1] (analytic) = 5.084172901000348190499311437752
y[1] (numeric) = 5.0841729010003481904980338767331
absolute error = 1.2775610189e-21
relative error = 2.5128197718229262596883837413430e-20 %
Correct digits = 21
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.006
y[1] (analytic) = 5.094302130218817305836369822337
y[1] (numeric) = 5.0943021302188173058348352049067
absolute error = 1.5346174303e-21
relative error = 3.0124193482691672459093798925388e-20 %
Correct digits = 21
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.007
y[1] (analytic) = 5.104451736652599700188597085538
y[1] (numeric) = 5.1044517366525997001868048945655
absolute error = 1.7921909725e-21
relative error = 3.5110352001785876972021668100276e-20 %
Correct digits = 21
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.008
y[1] (analytic) = 5.114621760900134641495953387395
y[1] (numeric) = 5.11462176090013464149390310472
absolute error = 2.0502826750e-21
relative error = 4.0086692053630292266137547854729e-20 %
Correct digits = 21
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.009
y[1] (analytic) = 5.124812243641532679932342008362
y[1] (numeric) = 5.1248122436415326799300331147913
absolute error = 2.3088935707e-21
relative error = 4.5053232409922823210139518052679e-20 %
Correct digits = 21
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.01
y[1] (analytic) = 5.1350232256387383684020501995505
y[1] (numeric) = 5.1350232256387383683994821748564
absolute error = 2.5680246941e-21
relative error = 5.0009991800583667162186063882199e-20 %
Correct digits = 21
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.011
y[1] (analytic) = 5.1452547477356933103723100665285
y[1] (numeric) = 5.1452547477356933103694823894475
absolute error = 2.8276770810e-21
relative error = 5.4956988907971850689436789432290e-20 %
Correct digits = 21
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.012
y[1] (analytic) = 5.155506850858499535694171034317
y[1] (numeric) = 5.1555068508584995356910831825463
absolute error = 3.0878517707e-21
relative error = 5.9894242409663527205002110352137e-20 %
Correct digits = 21
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.013
y[1] (analytic) = 5.1657795760155832050651873949015
y[1] (numeric) = 5.1657795760155832050618388450974
absolute error = 3.3485498041e-21
relative error = 6.4821770941352660814874129683279e-20 %
Correct digits = 21
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.014
y[1] (analytic) = 5.176072964297858643788739006286
y[1] (numeric) = 5.1760729642978586437851292340631
absolute error = 3.6097722229e-21
relative error = 6.9739593081444718866675997307871e-20 %
Correct digits = 21
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=3.8MB, alloc=2.9MB, time=0.14
x[1] = 0.015
y[1] (analytic) = 5.1863870568788927054861203990885
y[1] (numeric) = 5.1863870568788927054822488790153
absolute error = 3.8715200732e-21
relative error = 7.4647727420672603361682961840878e-20 %
Correct digits = 21
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.016
y[1] (analytic) = 5.196721895015069466418853358173
y[1] (numeric) = 5.1967218950150694664147195637714
absolute error = 4.1337944016e-21
relative error = 7.9546192486562008206824796520608e-20 %
Correct digits = 21
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.017
y[1] (analytic) = 5.207077520045755251080000488174
y[1] (numeric) = 5.2070775200457552510756038919174
absolute error = 4.3965962566e-21
relative error = 8.4435006770580334103662538835566e-20 %
Correct digits = 21
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.018
y[1] (analytic) = 5.2174539733934639897145823481975
y[1] (numeric) = 5.2174539733934639897099224215072
absolute error = 4.6599266903e-21
relative error = 8.9314188760713784825196433985562e-20 %
Correct digits = 21
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.019
y[1] (analytic) = 5.2278512965640229084305284578375
y[1] (numeric) = 5.2278512965640229084256046710822
absolute error = 4.9237867553e-21
relative error = 9.4183756881840390342386391979645e-20 %
Correct digits = 21
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.02
y[1] (analytic) = 5.2382695311467385525629228392435
y[1] (numeric) = 5.2382695311467385525577346617365
absolute error = 5.1881775070e-21
relative error = 9.9043729539900696355916735692514e-20 %
Correct digits = 21
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.021
y[1] (analytic) = 5.2487087188145631439556377735775
y[1] (numeric) = 5.2487087188145631439501846735736
absolute error = 5.4531000039e-21
relative error = 1.0389412512743894941317124609406e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.022
y[1] (analytic) = 5.259168901324261272825785120205
y[1] (numeric) = 5.2591689013242612728200665649001
absolute error = 5.7185553049e-21
relative error = 1.0873496197203449785730407969918e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.023
y[1] (analytic) = 5.2696501205165769248777528786885
y[1] (numeric) = 5.2696501205165769248717683342166
absolute error = 5.9845444719e-21
relative error = 1.1356625838592378718933377210538e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.024
y[1] (analytic) = 5.280152418316400844334935672425
y[1] (numeric) = 5.2801524183164008443286846038557
absolute error = 6.2510685693e-21
relative error = 1.1838803265632206727491247216750e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.025
y[1] (analytic) = 5.290675836732938233558611504002
y[1] (numeric) = 5.2906758367329382335520933753396
absolute error = 6.5181286624e-21
relative error = 1.2320030301506867591315603818858e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.026
y[1] (analytic) = 5.3012204178598767899247634813835
y[1] (numeric) = 5.3012204178598767899179777555633
absolute error = 6.7857258202e-21
relative error = 1.2800308769163429332186915190751e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.027
y[1] (analytic) = 5.3117862038755550806309942462535
y[1] (numeric) = 5.3117862038755550806239403851405
absolute error = 7.0538611130e-21
relative error = 1.3279640486760182825615896206251e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.028
y[1] (analytic) = 5.322373237043131256107032556681
y[1] (numeric) = 5.3223732370431312560997100210684
absolute error = 7.3225356126e-21
relative error = 1.3758027268053955721176723514437e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.029
y[1] (analytic) = 5.332981559710752102703685891085
y[1] (numeric) = 5.3329815597107521026960941406904
absolute error = 7.5917503946e-21
relative error = 1.4235470926720695436377389826187e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.03
y[1] (analytic) = 5.3436112143117224353364500547055
y[1] (numeric) = 5.3436112143117224353285885481697
absolute error = 7.8615065358e-21
relative error = 1.4711973271454764909327731730841e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.031
y[1] (analytic) = 5.3542622433646748307613465888835
y[1] (numeric) = 5.3542622433646748307532147837692
absolute error = 8.1318051143e-21
relative error = 1.5187536106169293553745135847671e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.032
y[1] (analytic) = 5.3649346894737397021619213128115
y[1] (numeric) = 5.3649346894737397021535186655991
absolute error = 8.4026472124e-21
relative error = 1.5662161235413356660365355448635e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.033
y[1] (analytic) = 5.375628595328715715727702572504
y[1] (numeric) = 5.3756285953287157157190285385917
absolute error = 8.6740339123e-21
relative error = 1.6135850456330845596369187020932e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.034
y[1] (analytic) = 5.38634400370524054990578573806
y[1] (numeric) = 5.386344003705240549896839771759
absolute error = 8.9459663010e-21
relative error = 1.6608605567795358256511955419412e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.035
y[1] (analytic) = 5.397080957464961998008581183215
y[1] (numeric) = 5.3970809574649619979993627377501
absolute error = 9.2184454649e-21
relative error = 1.7080428360351951248806943267611e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.036
y[1] (analytic) = 5.407839499555709414862136406332
y[1] (numeric) = 5.4078394995557094148526449338368
absolute error = 9.4914724952e-21
relative error = 1.7551320626249704065917402968538e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.037
y[1] (analytic) = 5.4186196730116655081808191146945
y[1] (numeric) = 5.4186196730116655081710540662121
absolute error = 9.7650484824e-21
relative error = 1.8021284149239047832011993296448e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.038
y[1] (analytic) = 5.4294215209535384753555269999105
y[1] (numeric) = 5.4294215209535384753454878253881
absolute error = 1.00391745224e-20
relative error = 1.8490320715855704601061852140587e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.039
y[1] (analytic) = 5.4402450865887344863439715867605
y[1] (numeric) = 5.4402450865887344863336577350497
absolute error = 1.03138517108e-20
relative error = 1.8958432104880084664047130631436e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.04
y[1] (analytic) = 5.451090413211530513352967946621
y[1] (numeric) = 5.4510904132115305133423788654748
absolute error = 1.05890811462e-20
relative error = 1.9425620093432651088452321025205e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.041
y[1] (analytic) = 5.4619575442032475080040492350515
y[1] (numeric) = 5.4619575442032475079931843711213
absolute error = 1.08648639302e-20
relative error = 1.9891886456955042133173415874233e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.042
y[1] (analytic) = 5.472846523032423926675114946906
y[1] (numeric) = 5.4728465230324239266639737457406
absolute error = 1.11412011654e-20
relative error = 2.0357232965536961499590219142235e-19 %
Correct digits = 20
h = 0.001
NO POLE
memory used=7.6MB, alloc=4.1MB, time=0.33
TOP MAIN SOLVE Loop
x[1] = 0.043
y[1] (analytic) = 5.483757393254989604712214486936
y[1] (numeric) = 5.4837573932549896047007963929786
absolute error = 1.14180939574e-20
relative error = 2.0821661387581135975562496358126e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.044
y[1] (analytic) = 5.494690198514439980206963134844
y[1] (numeric) = 5.4946901985144399801952675914302
absolute error = 1.16955434138e-20
relative error = 2.1285173487964872477811273051694e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.045
y[1] (analytic) = 5.505644982542010668036485746754
y[1] (numeric) = 5.5056449825420106680245121961103
absolute error = 1.19735506437e-20
relative error = 2.1747771027131672053982763075279e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.046
y[1] (analytic) = 5.516621789156852384864184585641
y[1] (numeric) = 5.5166217891568523848519324688806
absolute error = 1.22521167604e-20
relative error = 2.2209455765994400290863978758664e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.047
y[1] (analytic) = 5.527620662266206225801031517015
y[1] (numeric) = 5.5276206622662062257885002741378
absolute error = 1.25312428772e-20
relative error = 2.2670229458297267609761916250637e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.048
y[1] (analytic) = 5.5386416458655792934284914487445
y[1] (numeric) = 5.5386416458655792934156805186335
absolute error = 1.28109301110e-20
relative error = 2.3130093857151696930591353279477e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.049
y[1] (analytic) = 5.549684784038920679885593340872
y[1] (numeric) = 5.549684784038920679872502161292
absolute error = 1.30911795800e-20
relative error = 2.3589050710863202443909734181713e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.05
y[1] (analytic) = 5.560750120958797802724077368359
y[1] (numeric) = 5.5607501209587978027107053759529
absolute error = 1.33719924061e-20
relative error = 2.4047101767260078153569101454196e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.051
y[1] (analytic) = 5.571837700886573095236961892453
y[1] (numeric) = 5.5718377008865730952233085227413
absolute error = 1.36533697117e-20
relative error = 2.4504248767919997440587448912146e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.052
y[1] (analytic) = 5.582947568172581051967291790544
y[1] (numeric) = 5.5829475681725810519533564779211
absolute error = 1.39353126229e-20
relative error = 2.4960493453928903489587321403011e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.053
y[1] (analytic) = 5.594079767256305630105250415552
y[1] (numeric) = 5.594079767256305630091032593285
absolute error = 1.42178222670e-20
relative error = 2.5415837561382019839041971649730e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.054
y[1] (analytic) = 5.605234342666558007483241009839
y[1] (numeric) = 5.6052343426665580074687401100646
absolute error = 1.45008997744e-20
relative error = 2.5870282824788265708388686279008e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.055
y[1] (analytic) = 5.616411339021654697879969790974
y[1] (numeric) = 5.6164113390216546978651852446965
absolute error = 1.47845462775e-20
relative error = 2.6323830975092681934561377642892e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.056
y[1] (analytic) = 5.6276108010295960243459921631755
y[1] (numeric) = 5.6276108010295960243309234002647
absolute error = 1.50687629108e-20
relative error = 2.6776483739854760175575829631709e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.057
y[1] (analytic) = 5.638832773488244951264615594578
y[1] (numeric) = 5.6388327734882449512492620437674
absolute error = 1.53535508106e-20
relative error = 2.7228242842715340780019498206313e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.058
y[1] (analytic) = 5.6500773012855062758634876423805
y[1] (numeric) = 5.6500773012855062758478487312635
absolute error = 1.56389111170e-20
relative error = 2.7679110006940671479974602084948e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.059
y[1] (analytic) = 5.6613444293995061798936354111435
y[1] (numeric) = 5.6613444293995061798777105661727
absolute error = 1.59248449708e-20
relative error = 2.8129086949915771663915351847450e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.06
y[1] (analytic) = 5.6726342028987721421941633998045
y[1] (numeric) = 5.6726342028987721421779520462887
absolute error = 1.62113535158e-20
relative error = 2.8578175387222814633945479244704e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.061
y[1] (analytic) = 5.6839466669424132128622602360795
y[1] (numeric) = 5.6839466669424132128457617981816
absolute error = 1.64984378979e-20
relative error = 2.9026377031041121096336695051635e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.062
y[1] (analytic) = 5.6952818667803006497496112186465
y[1] (numeric) = 5.6952818667803006497328251193805
absolute error = 1.67860992660e-20
relative error = 2.9473693591726730832860710168961e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.063
y[1] (analytic) = 5.7066398477532489180077628936065
y[1] (numeric) = 5.7066398477532489179906885548363
absolute error = 1.70743387702e-20
relative error = 2.9920126774641837123166525211521e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.064
y[1] (analytic) = 5.7180206552931970534064380880195
y[1] (numeric) = 5.7180206552931970533890749304554
absolute error = 1.73631575641e-20
relative error = 3.0365678284192359672822296832989e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.065
y[1] (analytic) = 5.729424334923390390150254915584
y[1] (numeric) = 5.729424334923390390132602358782
absolute error = 1.76525568020e-20
relative error = 3.0810349818916034062427551280527e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.066
y[1] (analytic) = 5.740850932258562653920761263652
y[1] (numeric) = 5.7408509322585626539028187260096
absolute error = 1.79425376424e-20
relative error = 3.1254143077603054860131972675992e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.067
y[1] (analytic) = 5.7523004930051184208721571724935
y[1] (numeric) = 5.7523004930051184208539240712488
absolute error = 1.82331012447e-20
relative error = 3.1697059753522469728837852892311e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.068
y[1] (analytic) = 5.763773062961315943310541332993
y[1] (numeric) = 5.7637730629613159432920170842218
absolute error = 1.85242487712e-20
relative error = 3.2139101537912730764611799620596e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.069
y[1] (analytic) = 5.775268688017450342787984663522
y[1] (numeric) = 5.7752686880174503427691686821351
absolute error = 1.88159813869e-20
relative error = 3.2580270119621396066601061408566e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.07
y[1] (analytic) = 5.786787414156037171344203586542
y[1] (numeric) = 5.7867874141560371713250952862837
absolute error = 1.91083002583e-20
relative error = 3.3020567183021035737080242549938e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=11.4MB, alloc=4.2MB, time=0.52
x[1] = 0.071
y[1] (analytic) = 5.798329287451996341630078216382
y[1] (numeric) = 5.7983292874519963416106770098274
absolute error = 1.94012065546e-20
relative error = 3.3459994410089149691245680586628e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.072
y[1] (analytic) = 5.8098943540728364266487361975005
y[1] (numeric) = 5.8098943540728364266290414960526
absolute error = 1.96947014479e-20
relative error = 3.3898553480742164713018060880378e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.073
y[1] (analytic) = 5.8214826602788393298514014032995
y[1] (numeric) = 5.8214826602788393298314126171879
absolute error = 1.99887861116e-20
relative error = 3.4336246070073444856092366264561e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.074
y[1] (analytic) = 5.8330942524232453263266881251175
y[1] (numeric) = 5.8330942524232453263064046633948
absolute error = 2.02834617227e-20
relative error = 3.4773073852310257339897500250035e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.075
y[1] (analytic) = 5.8447291769524384758235057552915
y[1] (numeric) = 5.844729176952438475802927025832
absolute error = 2.05787294595e-20
relative error = 3.5209038496853281237276942167625e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.076
y[1] (analytic) = 5.8563874804061324083492263031335
y[1] (numeric) = 5.8563874804061324083283517126302
absolute error = 2.08745905033e-20
relative error = 3.5644141671193477604309265561518e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.077
y[1] (analytic) = 5.868069209417556483086257384197
y[1] (numeric) = 5.8680692094175564830650863381601
absolute error = 2.11710460369e-20
relative error = 3.6078385038341022134314516317340e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.078
y[1] (analytic) = 5.879774410713642321371656597346
y[1] (numeric) = 5.8797744107136423213501885000992
absolute error = 2.14680972468e-20
relative error = 3.6511770260577676740127302209246e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.079
y[1] (analytic) = 5.891503131115210714485919456785
y[1] (numeric) = 5.891503131115210714464153711464
absolute error = 2.17657453210e-20
relative error = 3.6944298995696081709597315632818e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.08
y[1] (analytic) = 5.9032554175371589069985722834215
y[1] (numeric) = 5.9032554175371589069765082919709
absolute error = 2.20639914506e-20
relative error = 3.7375972899720995292516175377926e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.081
y[1] (analytic) = 5.9150313169886482564197036876355
y[1] (numeric) = 5.9150313169886482563973408508081
absolute error = 2.23628368274e-20
relative error = 3.7806793622835720486989200661208e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.082
y[1] (analytic) = 5.926830876573292269908073499805
y[1] (numeric) = 5.9268308765732922698854112171571
absolute error = 2.26622826479e-20
relative error = 3.8236762816155505134948546079057e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.083
y[1] (analytic) = 5.9386541434893450187879462317245
y[1] (numeric) = 5.9386541434893450187649839016155
absolute error = 2.29623301090e-20
relative error = 3.8665882124444006906256610587098e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.084
y[1] (analytic) = 5.9505011650298899316283073874865
y[1] (numeric) = 5.9505011650298899316050444070745
absolute error = 2.32629804120e-20
relative error = 3.9094153192864970800152543297899e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.085
y[1] (analytic) = 5.962371988583028966639635192398
y[1] (numeric) = 5.9623719885830289666160709576397
absolute error = 2.35642347583e-20
relative error = 3.9521577659732855872440050997068e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.086
y[1] (analytic) = 5.9742666616320721641449175792665
y[1] (numeric) = 5.9742666616320721641210514849131
absolute error = 2.38660943534e-20
relative error = 3.9948157163242814589227761069449e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.087
y[1] (analytic) = 5.986185231755727579883124568845
y[1] (numeric) = 5.9861852317557275798589560084399
absolute error = 2.41685604051e-20
relative error = 4.0373893338431567704505551832030e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.088
y[1] (analytic) = 5.9981277466282915999048695115775
y[1] (numeric) = 5.9981277466282915998803978774547
absolute error = 2.44716341228e-20
relative error = 4.0798787816008356206306915971068e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.089
y[1] (analytic) = 6.010094254019839637821519027044
y[1] (numeric) = 6.0100942540198396377967437103251
absolute error = 2.47753167189e-20
relative error = 4.1222842224694027858467001142442e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.09
y[1] (analytic) = 6.022084801796417215170540891804
y[1] (numeric) = 6.0220848017964172151454612823955
absolute error = 2.50796094085e-20
relative error = 4.1646058190709354362166339281424e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.091
y[1] (analytic) = 6.0340994379202314256614115918045
y[1] (numeric) = 6.0340994379202314256360270783963
absolute error = 2.53845134082e-20
relative error = 4.2068437335777915841321150060926e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.092
y[1] (analytic) = 6.046138210449842784067940778273
y[1] (numeric) = 6.0461382104498427840422507483348
absolute error = 2.56900299382e-20
relative error = 4.2489981280610882450491536649931e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.093
y[1] (analytic) = 6.058201167540357460534408452184
y[1] (numeric) = 6.0582011675403574605084122919639
absolute error = 2.59961602201e-20
relative error = 4.2910691641252474710857970630406e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.094
y[1] (analytic) = 6.070288357443619901064452358168
y[1] (numeric) = 6.0702883574436199010381494526899
absolute error = 2.63029054781e-20
relative error = 4.3330570031070057255560187032637e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.095
y[1] (analytic) = 6.0823998285084058349631878002365
y[1] (numeric) = 6.0823998285084058349365775332962
absolute error = 2.66102669403e-20
relative error = 4.3749618062885003570241845490628e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.096
y[1] (analytic) = 6.0945356291806156700045899051405
y[1] (numeric) = 6.0945356291806156699776716593057
absolute error = 2.69182458348e-20
relative error = 4.4167837342545888735458622194009e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.097
y[1] (analytic) = 6.1066958080034682760977192607655
y[1] (numeric) = 6.1066958080034682760704924173707
absolute error = 2.72268433948e-20
relative error = 4.4585229477316281301544813370139e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.098
y[1] (analytic) = 6.118880413617695158226925852826
y[1] (numeric) = 6.118880413617695158199389791972
absolute error = 2.75360608540e-20
relative error = 4.5001796068310022789309477999872e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.099
memory used=15.2MB, alloc=4.3MB, time=0.70
y[1] (analytic) = 6.1310894947617350194427233195885
y[1] (numeric) = 6.1310894947617350194148774201392
absolute error = 2.78458994493e-20
relative error = 4.5417538714923196367217689144413e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.1
y[1] (analytic) = 6.143323100271928714681585747527
y[1] (numeric) = 6.1433231002719287146534293871072
absolute error = 2.81563604198e-20
relative error = 4.5832459013190570805212349681967e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.101
y[1] (analytic) = 6.155581279082714596194482547043
y[1] (numeric) = 6.1555812790827145961660151020348
absolute error = 2.84674450082e-20
relative error = 4.6246558558060546499931209965650e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.102
y[1] (analytic) = 6.1678640802268242513655333828425
y[1] (numeric) = 6.1678640802268242513367542283844
absolute error = 2.87791544581e-20
relative error = 4.6659838938995623419092262852756e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.103
y[1] (analytic) = 6.180171552835478633703734694584
y[1] (numeric) = 6.1801715528354786336746432045677
absolute error = 2.90914900163e-20
relative error = 4.7072301743715754001430417512032e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.104
y[1] (analytic) = 6.192503746138584587792282036203
y[1] (numeric) = 6.1925037461385845877628775832704
absolute error = 2.94044529326e-20
relative error = 4.7483948557860017572665840485145e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.105
y[1] (analytic) = 6.204860709464931768981588293238
y[1] (numeric) = 6.2048607094649317689518702487793
absolute error = 2.97180444587e-20
relative error = 4.7894780963201827575754670347701e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.106
y[1] (analytic) = 6.2172424922423899586136768127925
y[1] (numeric) = 6.2172424922423899585836445469437
absolute error = 3.00322658488e-20
relative error = 4.8304800538619782919125367999744e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.107
y[1] (analytic) = 6.229649143998106775567210606791
y[1] (numeric) = 6.2296491439981067755368634884314
absolute error = 3.03471183596e-20
relative error = 4.8714008860093875384997612748778e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.108
y[1] (analytic) = 6.242080714358705784914004072262
y[1] (numeric) = 6.2420807143587057848833414690104
absolute error = 3.06626032516e-20
relative error = 4.9122407502784416616220024283050e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.109
y[1] (analytic) = 6.2545372530504850044794521188345
y[1] (numeric) = 6.2545372530504850044484733970494
absolute error = 3.09787217851e-20
relative error = 4.9529998034612310243018923925397e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.11
y[1] (analytic) = 6.2670188098996158101009032098535
y[1] (numeric) = 6.2670188098996158100696077346277
absolute error = 3.12954752258e-20
relative error = 4.9936782025234237873584891463427e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.111
y[1] (analytic) = 6.2795254348323422403795976157955
y[1] (numeric) = 6.2795254348323422403479847509551
absolute error = 3.16128648404e-20
relative error = 5.0342761038986117989806612376641e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.112
y[1] (analytic) = 6.292057177875180701723390153492
y[1] (numeric) = 6.2920571778751807016914592615936
absolute error = 3.19308918984e-20
relative error = 5.0747936637764343253415934641129e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.113
y[1] (analytic) = 6.304614089155120074479077848317
y[1] (numeric) = 6.3046140891551200744468282906454
absolute error = 3.22495576716e-20
relative error = 5.1152310380224645944073524083883e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.114
y[1] (analytic) = 6.3171962188998222209547573154615
y[1] (numeric) = 6.3171962188998222209221884520261
absolute error = 3.25688634354e-20
relative error = 5.1555883823839911966835620658808e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.115
y[1] (analytic) = 6.3298036174378228961342442170635
y[1] (numeric) = 6.3298036174378228961013554065972
absolute error = 3.28888104663e-20
relative error = 5.1958658520930114607553416483205e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.116
y[1] (analytic) = 6.34243633519873306188719792076
y[1] (numeric) = 6.3424363351987330618539885207158
absolute error = 3.32094000442e-20
relative error = 5.2360636022307697390694530259723e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.117
y[1] (analytic) = 6.355094422713440605480208468572
y[1] (numeric) = 6.3550944227134406054466778351199
absolute error = 3.35306334521e-20
relative error = 5.2761817876788357922488728477485e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.118
y[1] (analytic) = 6.367777930614312463195720169429
y[1] (numeric) = 6.367777930614312463161867657455
absolute error = 3.38525119740e-20
relative error = 5.3162205627880901071532672983679e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.119
y[1] (analytic) = 6.380486909635397149867286560532
y[1] (numeric) = 6.380486909635397149833111523634
absolute error = 3.41750368980e-20
relative error = 5.3561800818666484065669292956918e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.12
y[1] (analytic) = 6.393221410612627695141275148605
y[1] (numeric) = 6.3932214106126276951067769390909
absolute error = 3.44982095141e-20
relative error = 5.3960604988329700118671594924117e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.121
y[1] (analytic) = 6.405981484484024987276767248443
y[1] (numeric) = 6.4059814844840249872419452173276
absolute error = 3.48220311154e-20
relative error = 5.4358619674038550468574982346235e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.122
y[1] (analytic) = 6.4187671822899015252970283894755
y[1] (numeric) = 6.4187671822899015252618818864793
absolute error = 3.51465029962e-20
relative error = 5.4755846407972458005783916808403e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.123
y[1] (analytic) = 6.431578555173065580307558167904
y[1] (numeric) = 6.4315785551730655802720865414489
absolute error = 3.54716264551e-20
relative error = 5.5152286722159928200261336450905e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.124
y[1] (analytic) = 6.4444156543790257667973650888185
y[1] (numeric) = 6.4444156543790257667615676860259
absolute error = 3.57974027926e-20
relative error = 5.5547942144724034064389401085677e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.125
y[1] (analytic) = 6.457278531256196024741751876161
y[1] (numeric) = 6.4572785312561960247056280428497
absolute error = 3.61238333113e-20
relative error = 5.5942814200199113788087354791610e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.126
y[1] (analytic) = 6.470167237256101013326539934987
y[1] (numeric) = 6.4701672372561010132900890156695
absolute error = 3.64509193175e-20
relative error = 5.6336904412007559626608217995881e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.127
y[1] (analytic) = 6.483081823933581917115308136775
y[1] (numeric) = 6.4830818239335819170785294746554
absolute error = 3.67786621196e-20
relative error = 5.6730214299971160147344426930758e-19 %
Correct digits = 20
h = 0.001
NO POLE
memory used=19.0MB, alloc=4.3MB, time=0.88
TOP MAIN SOLVE Loop
x[1] = 0.128
y[1] (analytic) = 6.496022342947002665482870871153
y[1] (numeric) = 6.4960223429470026654457638081253
absolute error = 3.71070630277e-20
relative error = 5.7122745379699404960224706810223e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.129
y[1] (analytic) = 6.5089888460584565661398733729155
y[1] (numeric) = 6.5089888460584565661024372495589
absolute error = 3.74361233566e-20
relative error = 5.7514499167208728056780322060258e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.13
y[1] (analytic) = 6.5219813851339733535750386982125
y[1] (numeric) = 6.5219813851339733535372728537909
absolute error = 3.77658444216e-20
relative error = 5.7905477172447067484668145360161e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.131
y[1] (analytic) = 6.535000012143726653243260394978
y[1] (numeric) = 6.5350000121437266532051641674364
absolute error = 3.80962275416e-20
relative error = 5.8295680904066287075183789319680e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.132
y[1] (analytic) = 6.5480447791622418623293978965775
y[1] (numeric) = 6.5480447791622418622909706225384
absolute error = 3.84272740391e-20
relative error = 5.8685111869403545836579092747202e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.133
y[1] (analytic) = 6.56111573836860444791929797103
y[1] (numeric) = 6.5611157383686044478805389857927
absolute error = 3.87589852373e-20
relative error = 5.9073771570042854964786727457356e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.134
y[1] (analytic) = 6.5742129420466686634112351876305
y[1] (numeric) = 6.5742129420466686633721438251673
absolute error = 3.90913624632e-20
relative error = 5.9461661506556202409860688807105e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.135
y[1] (analytic) = 6.5873364425852666840026373250135
y[1] (numeric) = 6.5873364425852666839632129179668
absolute error = 3.94244070467e-20
relative error = 5.9848783177115959599310309061778e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.136
y[1] (analytic) = 6.6004862924784181620886379464105
y[1] (numeric) = 6.6004862924784181620488798260908
absolute error = 3.97581203197e-20
relative error = 6.0235138076123803265443629682259e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.137
y[1] (analytic) = 6.613662544325540203410678015721
y[1] (numeric) = 6.6136625443255402033705855121035
absolute error = 4.00925036175e-20
relative error = 6.0620727696333687625600785236062e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.138
y[1] (analytic) = 6.6268652508316577647950614287665
y[1] (numeric) = 6.6268652508316577647546338704896
absolute error = 4.04275582769e-20
relative error = 6.1005553525969802647564996956828e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.139
y[1] (analytic) = 6.640094464807614474323055694487
y[1] (numeric) = 6.6400944648076144742822924088486
absolute error = 4.07632856384e-20
relative error = 6.1389617052053561974086407598949e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.14
y[1] (analytic) = 6.6533502391702838747758187275695
y[1] (numeric) = 6.6533502391702838747347190405244
absolute error = 4.10996870451e-20
relative error = 6.1772919758731052106163976003758e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.141
y[1] (analytic) = 6.666632626942781091199125813877
y[1] (numeric) = 6.6666326269427810911576890500347
absolute error = 4.14367638423e-20
relative error = 6.2155463126670421789258292836683e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.142
y[1] (analytic) = 6.6799416812546749234345672898105
y[1] (numeric) = 6.6799416812546749233927927724319
absolute error = 4.17745173786e-20
relative error = 6.2537248634712044725132116348945e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.143
y[1] (analytic) = 6.693277455342200364465587343181
y[1] (numeric) = 6.6932774553422003644234743941761
absolute error = 4.21129490049e-20
relative error = 6.2918277758361556284766566219793e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.144
y[1] (analytic) = 6.7066400025484715454284376031085
y[1] (numeric) = 6.7066400025484715453859855430334
absolute error = 4.24520600751e-20
relative error = 6.3298551970835685445394729087176e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.145
y[1] (analytic) = 6.720029376323695108139825846686
y[1] (numeric) = 6.7200293763236951080970339947404
absolute error = 4.27918519456e-20
relative error = 6.3678072742309946616153346592764e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.146
y[1] (analytic) = 6.733445630225384005994750217502
y[1] (numeric) = 6.7334456302253840059516178915269
absolute error = 4.31323259751e-20
relative error = 6.4056841539620869032312855446920e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.147
y[1] (analytic) = 6.746888817918571734089722832427
y[1] (numeric) = 6.7468888179185717340462493489007
absolute error = 4.34734835263e-20
relative error = 6.4434859828787950674664575682690e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.148
y[1] (analytic) = 6.760358993176026989428303555193
y[1] (numeric) = 6.7603589931760269893844882292302
absolute error = 4.38153259628e-20
relative error = 6.4812129070405317163501988260409e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.149
y[1] (analytic) = 6.7738562098784687620675850451255
y[1] (numeric) = 6.7738562098784687620234271904726
absolute error = 4.41578546529e-20
relative error = 6.5188650725274615391014691172121e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.15
y[1] (analytic) = 6.787380522014781858065993953743
y[1] (numeric) = 6.7873805220147818580214928827768
absolute error = 4.45010709662e-20
relative error = 6.5564426249362837175699987995649e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.151
y[1] (analytic) = 6.8009319836822328550945003478055
y[1] (numeric) = 6.8009319836822328550496553715296
absolute error = 4.48449762759e-20
relative error = 6.5939457097201487468720493313626e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.152
y[1] (analytic) = 6.814510649086686491575058091581
y[1] (numeric) = 6.8145106490866864915298685196233
absolute error = 4.51895719577e-20
relative error = 6.6313744720255920188084657606425e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.153
y[1] (analytic) = 6.828116572542822490211833030615
y[1] (numeric) = 6.8281165725428224901662981712257
absolute error = 4.55348593893e-20
relative error = 6.6687290566192846607625128038034e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.154
y[1] (analytic) = 6.8417498084743528167825133910155
y[1] (numeric) = 6.841749808474352816736632551063
absolute error = 4.58808399525e-20
relative error = 6.7060096081956853475431526124071e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.155
y[1] (analytic) = 6.8554104114142393750587378491665
y[1] (numeric) = 6.8554104114142393750125103341357
absolute error = 4.62275150308e-20
relative error = 6.7432162710246078520308816874319e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.156
y[1] (analytic) = 6.869098436004912138726421243851
y[1] (numeric) = 6.8690984360049121386798463578399
memory used=22.8MB, alloc=4.3MB, time=1.06
absolute error = 4.65748860111e-20
relative error = 6.7803491891998698363345265704705e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.157
y[1] (analytic) = 6.882813936998487721178505902922
y[1] (numeric) = 6.882813936998487721131582948639
absolute error = 4.69229542830e-20
relative error = 6.8174085065362867185264590609687e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.158
y[1] (analytic) = 6.8965569692569883840544180469565
y[1] (numeric) = 6.8965569692569883840071463257178
absolute error = 4.72717212387e-20
relative error = 6.8543943665548948020394944964945e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.159
y[1] (analytic) = 6.9103275877525614854022637197295
y[1] (numeric) = 6.9103275877525614853546425314564
absolute error = 4.76211882731e-20
relative error = 6.8913069124972971897935793497345e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.16
y[1] (analytic) = 6.924125847567699368341557186889
y[1] (numeric) = 6.9241258475676993682935858301043
absolute error = 4.79713567847e-20
relative error = 6.9281462874553810415216267079829e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.161
y[1] (analytic) = 6.9379518038954596911060367469275
y[1] (numeric) = 6.9379518038954596910577145187544
absolute error = 4.83222281731e-20
relative error = 6.9649126340094296391827188030217e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.162
y[1] (analytic) = 6.951805512039686199347888419495
y[1] (numeric) = 6.9518055120396861992992146156523
absolute error = 4.86738038427e-20
relative error = 7.0016060947624124017305892037262e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.163
y[1] (analytic) = 6.965687027415229941586467022299
y[1] (numeric) = 6.9656870274152299415374409370998
absolute error = 4.90260851992e-20
relative error = 7.0382268118342661064909414946389e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.164
y[1] (analytic) = 6.9795964055481709286863767264425
y[1] (numeric) = 6.9795964055481709286369976527904
absolute error = 4.93790736521e-20
relative error = 7.0747749272218576165504946547963e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.165
y[1] (analytic) = 6.9935337020760402382515492980585
y[1] (numeric) = 6.9935337020760402382018165274452
absolute error = 4.97327706133e-20
relative error = 7.1112505825970006616596205142919e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.166
y[1] (analytic) = 7.0074989727480425648237378986985
y[1] (numeric) = 7.007498972748042564773650721201
absolute error = 5.00871774975e-20
relative error = 7.1476539193637502298425877827231e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.167
y[1] (analytic) = 7.0214922734252792167756275351825
y[1] (numeric) = 7.0214922734252792167251852394601
absolute error = 5.04422957224e-20
relative error = 7.1839850786865347095723273424425e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.168
y[1] (analytic) = 7.035513660080971560790550028681
y[1] (numeric) = 7.0355136600809715607397519019724
absolute error = 5.07981267086e-20
relative error = 7.2202442014753142498649665393640e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.169
y[1] (analytic) = 7.0495631888006849148225817198145
y[1] (numeric) = 7.0495631888006849147714270479357
absolute error = 5.11546718788e-20
relative error = 7.2564314282716214189267625572438e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.17
y[1] (analytic) = 7.063640915782552890432596048689
y[1] (numeric) = 7.063640915782552890381084116029
absolute error = 5.15119326600e-20
relative error = 7.2925468995606773911345584309874e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.171
y[1] (analytic) = 7.077746897337502185397640653193
y[1] (numeric) = 7.0777468973375021853457707427124
absolute error = 5.18699104806e-20
relative error = 7.3285907553592170511577588800008e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.172
y[1] (analytic) = 7.091881189889477827492809722799
y[1] (numeric) = 7.0918811898894778274405811160257
absolute error = 5.22286067733e-20
relative error = 7.3645631356260703963253731127790e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.173
y[1] (analytic) = 7.1060438499756688703465870356715
y[1] (numeric) = 7.1060438499756688702939990126997
absolute error = 5.25880229718e-20
relative error = 7.4004641797953528887179663494284e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.174
y[1] (analytic) = 7.1202349342467345422724434013955
y[1] (numeric) = 7.1202349342467345422194952408805
absolute error = 5.29481605150e-20
relative error = 7.4362940273685651110222077938449e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.175
y[1] (analytic) = 7.1344544994670308489812841372305
y[1] (numeric) = 7.1344544994670308489279751163885
absolute error = 5.33090208420e-20
relative error = 7.4720528172101137720277672863180e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.176
y[1] (analytic) = 7.148702602514837631081157729836
y[1] (numeric) = 7.1487026025148376310274871244385
absolute error = 5.36706053975e-20
relative error = 7.5077406883060502744440357519405e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.177
y[1] (analytic) = 7.162979300382586077272455984027
y[1] (numeric) = 7.1629793003825860772184230683996
absolute error = 5.40329156274e-20
relative error = 7.5433577791456156152530014352304e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.178
y[1] (analytic) = 7.177284650177086694148658742727
y[1] (numeric) = 7.1772846501770866940942627897461
absolute error = 5.43959529809e-20
relative error = 7.5789042280157966014335783695427e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.179
y[1] (analytic) = 7.191618709119757733514502685048
y[1] (numeric) = 7.1916187091197577334597429661378
absolute error = 5.47597189102e-20
relative error = 7.6143801729586549870533054885930e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.18
y[1] (analytic) = 7.2059815345468540781352837797455
y[1] (numeric) = 7.2059815345468540780801595648753
absolute error = 5.51242148702e-20
relative error = 7.6497857517291666521783398361367e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.181
y[1] (analytic) = 7.22037318390969658683283669644
y[1] (numeric) = 7.2203731839096965867773472541206
absolute error = 5.54894423194e-20
relative error = 7.6851211019197636898910661270616e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.182
y[1] (analytic) = 7.2347937147749018998455718643125
y[1] (numeric) = 7.2347937147749018997897164615944
absolute error = 5.58554027181e-20
relative error = 7.7203863607101953565864765638129e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.183
y[1] (analytic) = 7.2492431848246127053717919248355
y[1] (numeric) = 7.2492431848246127053155698273056
absolute error = 5.62220975299e-20
relative error = 7.7555816650755978862234489169362e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.184
y[1] (analytic) = 7.2637216518567284682173540588235
y[1] (numeric) = 7.2637216518567284681607645306007
absolute error = 5.65895282228e-20
relative error = 7.7907071519370200871414162243590e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=26.7MB, alloc=4.3MB, time=1.24
x[1] = 0.185
y[1] (analytic) = 7.278229173785136621470593086086
y[1] (numeric) = 7.2782291737851366214136353898207
absolute error = 5.69576962653e-20
relative error = 7.8257629576231683892075803200843e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.186
y[1] (analytic) = 7.2927658086399442221292723456445
y[1] (numeric) = 7.2927658086399442220719457425138
absolute error = 5.73266031307e-20
relative error = 7.8607492184629822074271963684967e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.187
y[1] (analytic) = 7.3073316145677100716061851731755
y[1] (numeric) = 7.3073316145677100715484889228811
absolute error = 5.76962502944e-20
relative error = 7.8956660704132033455279827163929e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.188
y[1] (analytic) = 7.321926649831677302041889307591
y[1] (numeric) = 7.3219266498316773019838226683556
absolute error = 5.80666392354e-20
relative error = 7.9305136492640069610145219961142e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.189
y[1] (analytic) = 7.3365509728120064293549197878015
y[1] (numeric) = 7.3365509728120064292964820163673
absolute error = 5.84377714342e-20
relative error = 7.9652920903514894315852784254796e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.19
y[1] (analytic) = 7.35120464200600887396169285126
y[1] (numeric) = 7.3512046420060088739028832028834
absolute error = 5.88096483766e-20
relative error = 8.0000015290761822596964280147563e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.191
y[1] (analytic) = 7.3658877160283809501001840252495
y[1] (numeric) = 7.3658877160283809500410017536998
absolute error = 5.91822715497e-20
relative error = 8.0346421003564438835761565927337e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.192
y[1] (analytic) = 7.380600253611438324693338017626
y[1] (numeric) = 7.3806002536114383246337823751826
absolute error = 5.95556424434e-20
relative error = 8.0692139388335700109414218184487e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.193
y[1] (analytic) = 7.395342313605350946690046173263
y[1] (numeric) = 7.3953423136053509466301164107109
absolute error = 5.99297625521e-20
relative error = 8.1037171791015114750811278057853e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.194
y[1] (analytic) = 7.410113954978378447823409173341
y[1] (numeric) = 7.4101139549783784477631045399697
absolute error = 6.03046333713e-20
relative error = 8.1381519552456004675735607367639e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.195
y[1] (analytic) = 7.4249152368171060157278883244125
y[1] (numeric) = 7.4249152368171060156672080680113
absolute error = 6.06802564012e-20
relative error = 8.1725184013295564106594407907116e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.196
y[1] (analytic) = 7.439746218326680740358838220333
y[1] (numeric) = 7.4397462183266807402977815871885
absolute error = 6.10566331445e-20
relative error = 8.2068166510970886803480964888444e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.197
y[1] (analytic) = 7.454606958831048434659806770324
y[1] (numeric) = 7.4546069588310484345983730052183
absolute error = 6.14337651057e-20
relative error = 8.2410468378782755571568940009855e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.198
y[1] (analytic) = 7.4694975177731909304248855781315
y[1] (numeric) = 7.4694975177731909303630739243371
absolute error = 6.18116537944e-20
relative error = 8.2752090950325813436308667629102e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.199
y[1] (analytic) = 7.484417954715363850305294438065
y[1] (numeric) = 7.4844179547153638502431041373439
absolute error = 6.21903007211e-20
relative error = 8.3093035553845052698756149555546e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.2
y[1] (analytic) = 7.4993683293393348569112882913005
y[1] (numeric) = 7.4993683293393348568487185838987
absolute error = 6.25697074018e-20
relative error = 8.3433303518393991912028633578858e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.201
y[1] (analytic) = 7.5143487014466223799623833677215
y[1] (numeric) = 7.5143487014466223798994334923688
absolute error = 6.29498753527e-20
relative error = 8.3772896166744598047588915716709e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.202
y[1] (analytic) = 7.529359130958734822440811432527
y[1] (numeric) = 7.5293591309587348223774806264317
absolute error = 6.33308060953e-20
relative error = 8.4111814822194445405776387392254e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.203
y[1] (analytic) = 7.544399677917410246705027070345
y[1] (numeric) = 7.5443996779174102466413145691919
absolute error = 6.37125011531e-20
relative error = 8.4450060804158619456369809202819e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.204
y[1] (analytic) = 7.559470402484856541522012780476
y[1] (numeric) = 7.5594704024848565414579178184235
absolute error = 6.40949620525e-20
relative error = 8.4787635429370143371835416726007e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.205
y[1] (analytic) = 7.5745713649439920709790503327045
y[1] (numeric) = 7.5745713649439920709145721423804
absolute error = 6.44781903241e-20
relative error = 8.5124540013594241077563915206580e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.206
y[1] (analytic) = 7.589702625698686806237554351626
y[1] (numeric) = 7.5897026256986868061726921641258
absolute error = 6.48621875002e-20
relative error = 8.5460775868315352269810872955116e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.207
y[1] (analytic) = 7.6048642452740039410934954663415
y[1] (numeric) = 7.6048642452740039410282485112242
absolute error = 6.52469551173e-20
relative error = 8.5796344304038456051266302598581e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.208
y[1] (analytic) = 7.6200562843164419923108755893565
y[1] (numeric) = 7.6200562843164419922452430946424
absolute error = 6.56324947141e-20
relative error = 8.6131246627645573007020646115519e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.209
y[1] (analytic) = 7.6352788035941773856966569813935
y[1] (numeric) = 7.6352788035941773856306381735607
absolute error = 6.60188078328e-20
relative error = 8.6465484144105872367875002719105e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.21
y[1] (analytic) = 7.650531863997307528887489725279
y[1] (numeric) = 7.65053186399730752882108382926
absolute error = 6.64058960190e-20
relative error = 8.6799058156335482711307485723866e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.211
y[1] (analytic) = 7.6658155265380943718205290799105
y[1] (numeric) = 7.6658155265380943717537353190903
absolute error = 6.67937608202e-20
relative error = 8.7131969963232686504534220810048e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.212
y[1] (analytic) = 7.681129852351208455862584922327
y[1] (numeric) = 7.6811298523512084557954025185383
absolute error = 6.71824037887e-20
relative error = 8.7464220863464947714741275487885e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.213
y[1] (analytic) = 7.6964749026939734525738001198695
y[1] (numeric) = 7.6964749026939734525062282933906
absolute error = 6.75718264789e-20
relative error = 8.7795812151934701016894328790198e-19 %
Correct digits = 20
h = 0.001
NO POLE
memory used=30.5MB, alloc=4.3MB, time=1.43
TOP MAIN SOLVE Loop
x[1] = 0.214
y[1] (analytic) = 7.7118507389466111930840132132055
y[1] (numeric) = 7.7118507389466111930160511827573
absolute error = 6.79620304482e-20
relative error = 8.8126745120955456523832115560477e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.215
y[1] (analytic) = 7.727257422612487189061923242371
y[1] (numeric) = 7.727257422612487188993570225113
absolute error = 6.83530172580e-20
relative error = 8.8457021061543354885948300559886e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.216
y[1] (analytic) = 7.742695015318356646259140919847
y[1] (numeric) = 7.7426950153183566461903961313758
absolute error = 6.87447884712e-20
relative error = 8.8786641260172919603988545330629e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.217
y[1] (analytic) = 7.758163578814610971613180654903
y[1] (numeric) = 7.7581635788146109715440433092471
absolute error = 6.91373456559e-20
relative error = 8.9115607003563163178373634044419e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.218
y[1] (analytic) = 7.7736631749755247748954221698385
y[1] (numeric) = 7.7736631749755247748258914794564
absolute error = 6.95306903821e-20
relative error = 8.9443919574401827625599335284009e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.219
y[1] (analytic) = 7.7891938657995033658920486293155
y[1] (numeric) = 7.7891938657995033658221238050927
absolute error = 6.99248242228e-20
relative error = 8.9771580252769497530854256256049e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.22
y[1] (analytic) = 7.8047557134093307481079503365275
y[1] (numeric) = 7.8047557134093307480376305877727
absolute error = 7.03197487548e-20
relative error = 9.0098590317162419638438230819553e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.221
y[1] (analytic) = 7.820348780052418109985569142475
y[1] (numeric) = 7.8203487800524181099148536769169
absolute error = 7.07154655581e-20
relative error = 9.0424951043712924396033261154089e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.222
y[1] (analytic) = 7.8359731281010528146326487750495
y[1] (numeric) = 7.8359731281010528145615367988347
absolute error = 7.11119762148e-20
relative error = 9.0750663704781070045911840879678e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.223
y[1] (analytic) = 7.8516288200526478890548503309165
y[1] (numeric) = 7.8516288200526478889833410486051
absolute error = 7.15092823114e-20
relative error = 9.1075729571893473065873916465236e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.224
y[1] (analytic) = 7.8673159185299920138911901933055
y[1] (numeric) = 7.867315918529992013819282807868
absolute error = 7.19073854375e-20
relative error = 9.1400149914071195745909121209290e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.225
y[1] (analytic) = 7.883034486281500014652259650781
y[1] (numeric) = 7.8830344862815000145799533635964
absolute error = 7.23062871846e-20
relative error = 9.1723925996304427874359742293089e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.226
y[1] (analytic) = 7.898784586181463855463191503867
y[1] (numeric) = 7.8987845861814638553904855147179
absolute error = 7.27059891491e-20
relative error = 9.2047059083362725569420259378056e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.227
y[1] (analytic) = 7.9145662812303041363153489660385
y[1] (numeric) = 7.9145662812303041362422424731088
absolute error = 7.31064929297e-20
relative error = 9.2369550436484228928385979178009e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.228
y[1] (analytic) = 7.9303796345548220948327262011755
y[1] (numeric) = 7.9303796345548220947592184010472
absolute error = 7.35078001283e-20
relative error = 9.2691401314517796582662101217823e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.229
y[1] (analytic) = 7.9462247094084521135610678990785
y[1] (numeric) = 7.9462247094084521134871579867288
absolute error = 7.39099123497e-20
relative error = 9.3012612973541420856277398561718e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.23
y[1] (analytic) = 7.962101569171514733789737382204
y[1] (numeric) = 7.9621015691715147337154245510011
absolute error = 7.43128312029e-20
relative error = 9.3333186668494756467079333212700e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.231
y[1] (analytic) = 7.9780102773514701769183888684385
y[1] (numeric) = 7.978010277351470176843672310139
absolute error = 7.47165582995e-20
relative error = 9.3653123651157176876292464342724e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.232
y[1] (analytic) = 7.993950897583172374382529694635
y[1] (numeric) = 7.9939508975831723743074085993806
absolute error = 7.51210952544e-20
relative error = 9.3972425171027151692864282153975e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.233
y[1] (analytic) = 8.0099234936291235071540925418635
y[1] (numeric) = 8.009923493629123507078566098178
absolute error = 7.55264436855e-20
relative error = 9.4291092474942726298618488975912e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.234
y[1] (analytic) = 8.0259281293797290558351760040525
y[1] (numeric) = 8.025928129379729055759243398838
absolute error = 7.59326052145e-20
relative error = 9.4609126808077122964700103565434e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.235
y[1] (analytic) = 8.0419648688535533623651542150485
y[1] (numeric) = 8.0419648688535533622888146335826
absolute error = 7.63395814659e-20
relative error = 9.4926529412684216372051512341465e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.236
y[1] (analytic) = 8.058033776197575704363402703283
y[1] (numeric) = 8.0580337761975757042866553292155
absolute error = 7.67473740675e-20
relative error = 9.5243301528720501805770427610994e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.237
y[1] (analytic) = 8.0741349156874468831319381863825
y[1] (numeric) = 8.0741349156874468830547822017318
absolute error = 7.71559846507e-20
relative error = 9.5559444394211978286887371450409e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.238
y[1] (analytic) = 8.090268351727746326344324658396
y[1] (numeric) = 8.0902683517277463262667592435467
absolute error = 7.75654148493e-20
relative error = 9.5874959243762586858837301675914e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.239
y[1] (analytic) = 8.1064341488522397064492568680735
y[1] (numeric) = 8.1064341488522397063712812017713
absolute error = 7.79756663022e-20
relative error = 9.6189847311891491450318848069506e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.24
y[1] (analytic) = 8.1226323717241370758192951460105
y[1] (numeric) = 8.122632371724137075740908405361
absolute error = 7.83867406495e-20
relative error = 9.6504109828205075625779478636936e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.241
y[1] (analytic) = 8.1388630851363515196772925197915
y[1] (numeric) = 8.1388630851363515195984938802556
absolute error = 7.87986395359e-20
relative error = 9.6817748021595912241042720040260e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=34.3MB, alloc=4.3MB, time=1.61
x[1] = 0.242
y[1] (analytic) = 8.155126354011758327835126167699
y[1] (numeric) = 8.1551263540117583277559148030904
absolute error = 7.92113646086e-20
relative error = 9.7130763117647447874771054696163e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.243
y[1] (analytic) = 8.1714222434034546862814205114855
y[1] (numeric) = 8.1714222434034546862017955939665
absolute error = 7.96249175190e-20
relative error = 9.7443156340720025368083697771172e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.244
y[1] (analytic) = 8.1877508184950198896570286453495
y[1] (numeric) = 8.1877508184950198895769893454283
absolute error = 8.00392999212e-20
relative error = 9.7754928912103754483909322138770e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.245
y[1] (analytic) = 8.2041121446007760756591223499955
y[1] (numeric) = 8.2041121446007760755786678365234
absolute error = 8.04545134721e-20
relative error = 9.8066082050143687561793179669736e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.246
y[1] (analytic) = 8.220506287166049482416828655785
y[1] (numeric) = 8.2205062871660494823359580959514
absolute error = 8.08705598336e-20
relative error = 9.8376616972918156430056427628263e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.247
y[1] (analytic) = 8.23693331176743222988344280586
y[1] (numeric) = 8.236933311767432229802155365191
absolute error = 8.12874406690e-20
relative error = 9.8686534893843669783591302993035e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.248
y[1] (analytic) = 8.253393284113044626292343537145
y[1] (numeric) = 8.253393284113044626210638379499
absolute error = 8.17051576460e-20
relative error = 9.8995837025329017702844503818052e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.249
y[1] (analytic) = 8.2698862700427980007258368526205
y[1] (numeric) = 8.2698862700427980006437131401843
absolute error = 8.21237124362e-20
relative error = 9.9304524578153595924243018499316e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.25
y[1] (analytic) = 8.286412335528658062848258910688
y[1] (numeric) = 8.2864123355286580627657158039754
absolute error = 8.25431067126e-20
relative error = 9.9612598758439528764420637301725e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.251
y[1] (analytic) = 8.3029715466749087908567773151935
y[1] (numeric) = 8.3029715466749087907738139730397
absolute error = 8.29633421538e-20
relative error = 9.9920060772729411037480807813484e-19 %
Correct digits = 20
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.252
y[1] (analytic) = 8.3195639697184168487054429611505
y[1] (numeric) = 8.3195639697184168486220585407103
absolute error = 8.33844204402e-20
relative error = 1.0022691182338756747076868369850e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.253
y[1] (analytic) = 8.3361896710288965336601616849395
y[1] (numeric) = 8.3361896710288965335763553416832
absolute error = 8.38063432563e-20
relative error = 1.0053315311137369877595183156524e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.254
y[1] (analytic) = 8.3528487171091752552443762921265
y[1] (numeric) = 8.3528487171091752551601471798363
absolute error = 8.42291122902e-20
relative error = 1.0083878583563132666489330758944e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.255
y[1] (analytic) = 8.3695411745954595466373750996015
y[1] (numeric) = 8.3695411745954595465527223703694
absolute error = 8.46527292321e-20
relative error = 1.0114381119128872237541117943813e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.256
y[1] (analytic) = 8.386267110257601609589272939958
y[1] (numeric) = 8.3862671102576016095041957441812
absolute error = 8.50771957768e-20
relative error = 1.0144823037265107724025519572821e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.257
y[1] (analytic) = 8.403026590999366393918844643424
y[1] (numeric) = 8.4030265909993663938333421298015
absolute error = 8.55025136225e-20
relative error = 1.0175204457175380973564869373670e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.258
y[1] (analytic) = 8.4198196838586992126625293447875
y[1] (numeric) = 8.4198196838586992125766006603174
absolute error = 8.59286844701e-20
relative error = 1.0205525497752696147646513907643e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.259
y[1] (analytic) = 8.4366464560079938939450665681565
y[1] (numeric) = 8.4366464560079938938587108581319
absolute error = 8.63557100246e-20
relative error = 1.0235786277745875974638723414627e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.26
y[1] (analytic) = 8.4535069747543614706443719296285
y[1] (numeric) = 8.4535069747543614705575883376343
absolute error = 8.67835919942e-20
relative error = 1.0265986915651858432203498915156e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.261
y[1] (analytic) = 8.470401307539899408925411475629
y[1] (numeric) = 8.4704013075398994088381991435391
absolute error = 8.72123320899e-20
relative error = 1.0296127529668309118345226343849e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.262
y[1] (analytic) = 8.487329521941961376719989151388
y[1] (numeric) = 8.4873295219419613766323472193615
absolute error = 8.76419320265e-20
relative error = 1.0326208237811756651838090518397e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.263
y[1] (analytic) = 8.504291685673427553231521678394
y[1] (numeric) = 8.5042916856734275531434492848706
absolute error = 8.80723935234e-20
relative error = 1.0356229158010803804810446419873e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.264
y[1] (analytic) = 8.521287866582975480546039220335
y[1] (numeric) = 8.5212878665829754804575355020332
absolute error = 8.85037183018e-20
relative error = 1.0386190407775751775780258338668e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.265
y[1] (analytic) = 8.538318132655351458432818642673
y[1] (numeric) = 8.5383181326553514583438827345859
absolute error = 8.89359080871e-20
relative error = 1.0416092104481191852615510360933e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.266
y[1] (analytic) = 8.555382552011642483420228930236
y[1] (numeric) = 8.5553825520116424833308599656283
absolute error = 8.93689646077e-20
relative error = 1.0445934365224441617972441406226e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.267
y[1] (analytic) = 8.5724811929095487332345454288015
y[1] (numeric) = 8.572481192909548733144742539205
absolute error = 8.98028895965e-20
relative error = 1.0475717307000633964609854315737e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.268
y[1] (analytic) = 8.589614123743656597691671029234
y[1] (numeric) = 8.589614123743656597601433344445
absolute error = 9.02376847890e-20
relative error = 1.0505441046479889636146387017748e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.269
y[1] (analytic) = 8.6067814130457122571338882251095
y[1] (numeric) = 8.6067814130457122570432148731855
absolute error = 9.06733519240e-20
relative error = 1.0535105700089239217594711925842e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.27
y[1] (analytic) = 8.6239831294848958095059561556035
y[1] (numeric) = 8.6239831294848958094148462628592
absolute error = 9.11098927443e-20
relative error = 1.0564711384093573372436169135149e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=38.1MB, alloc=4.3MB, time=1.80
TOP MAIN SOLVE Loop
x[1] = 0.271
y[1] (analytic) = 8.641219341868095947167061303532
y[1] (numeric) = 8.6412193418680959470755139945357
absolute error = 9.15473089963e-20
relative error = 1.0594258214548331227310440590132e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.272
y[1] (analytic) = 8.658490119140185184537329462586
y[1] (numeric) = 8.6584901191401851844453438601565
absolute error = 9.19856024295e-20
relative error = 1.0623746307241204598231131769811e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.273
y[1] (analytic) = 8.675795530384295637679809926778
y[1] (numeric) = 8.6757955303842956375873851519808
absolute error = 9.24247747972e-20
relative error = 1.0653175777772857565393276922371e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.274
y[1] (analytic) = 8.6931356448220953569210505977415
y[1] (numeric) = 8.6931356448220953568281857698855
absolute error = 9.28648278560e-20
relative error = 1.0682546741498645356202826220471e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.275
y[1] (analytic) = 8.7105105318140652136155948606295
y[1] (numeric) = 8.7105105318140652135222890972635
absolute error = 9.33057633660e-20
relative error = 1.0711859313551393944086327993586e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.276
y[1] (analytic) = 8.7279202608597763421619476557805
y[1] (numeric) = 8.7279202608597763420682000726895
absolute error = 9.37475830910e-20
relative error = 1.0741113608863911026453977895581e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.277
y[1] (analytic) = 8.74536490159816813837977917994
y[1] (numeric) = 8.7453649015981681382855888911413
absolute error = 9.41902887987e-20
relative error = 1.0770309742191230251530001007436e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.278
y[1] (analytic) = 8.762844523807826815360360096515
y[1] (numeric) = 8.7628445238078268152657262142554
absolute error = 9.46338822596e-20
relative error = 1.0799447827984236900453007840374e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.279
y[1] (analytic) = 8.780359197407264517904452028013
y[1] (numeric) = 8.7803591974072645178093736627651
absolute error = 9.50783652479e-20
relative error = 1.0828527980492587218286875849791e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.28
y[1] (analytic) = 8.7979089924551989966641114543785
y[1] (numeric) = 8.797908992455198996568587714837
absolute error = 9.55237395415e-20
relative error = 1.0857550313764106505427292127192e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.281
y[1] (analytic) = 8.8154939791508338431071039573415
y[1] (numeric) = 8.8154939791508338430111339504192
absolute error = 9.59700069223e-20
relative error = 1.0886514941678226868346405496434e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.282
y[1] (analytic) = 8.8331142278341392864248690420805
y[1] (numeric) = 8.8331142278341392863284518729056
absolute error = 9.64171691749e-20
relative error = 1.0915421977797889706879405392748e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.283
y[1] (analytic) = 8.850769808986133553507223542459
y[1] (numeric) = 8.8507698089861335534103583143709
absolute error = 9.68652280881e-20
relative error = 1.0944271535539576945701805900648e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.284
y[1] (analytic) = 8.8684607932291647931092438837915
y[1] (numeric) = 8.868460793229164793011929698337
absolute error = 9.73141854545e-20
relative error = 1.0973063728127073214086792083363e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.285
y[1] (analytic) = 8.886187251327193565338024246569
y[1] (numeric) = 8.8861872513271935652402602034991
absolute error = 9.77640430699e-20
relative error = 1.1001798668523272858108123875529e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.286
y[1] (analytic) = 8.903949254186075897589268954829
y[1] (numeric) = 8.9039492541860758974910541520957
absolute error = 9.82148027333e-20
relative error = 1.1030476469430190015109610705970e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.287
y[1] (analytic) = 8.9217468728538469080659432129495
y[1] (numeric) = 8.9217468728538469079672767467017
absolute error = 9.86664662478e-20
relative error = 1.1059097243389850795660522754068e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.288
y[1] (analytic) = 8.9395801785210049980134766436305
y[1] (numeric) = 8.9395801785210049979143576082106
absolute error = 9.91190354199e-20
relative error = 1.1087661102705003687837730728573e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.289
y[1] (analytic) = 8.957449242520796613808288946805
y[1] (numeric) = 8.9574492425207966137087164347441
absolute error = 9.95725120609e-20
relative error = 1.1116168159595219871407147426151e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.29
y[1] (analytic) = 8.9753541363295015800386864132575
y[1] (numeric) = 8.9753541363295015799386595152744
absolute error = 1.000268979831e-19
relative error = 1.1144618525771764665980839633946e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.291
y[1] (analytic) = 8.9932949315667190047194619969945
y[1] (numeric) = 8.9932949315667190046189798019888
absolute error = 1.004821950057e-19
relative error = 1.1173012313096133417822619094752e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.292
y[1] (analytic) = 9.0112716999956537577838201859535
y[1] (numeric) = 9.0112716999956537576828817810047
absolute error = 1.009384049488e-19
relative error = 1.1201349632910156707255064164364e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.293
y[1] (analytic) = 9.0292845135234035239985410207425
y[1] (numeric) = 9.0292845135234035238971454911052
absolute error = 1.013955296373e-19
relative error = 1.1229630596470536953231288968977e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.294
y[1] (analytic) = 9.0473334442012464314505953047895
y[1] (numeric) = 9.0473334442012464313487417338894
absolute error = 1.018535709001e-19
relative error = 1.1257855314858714385203725637533e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.295
y[1] (analytic) = 9.0654185642249292567557253358715
y[1] (numeric) = 9.0654185642249292566534128053019
absolute error = 1.023125305696e-19
relative error = 1.1286023898924899440824922175897e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.296
y[1] (analytic) = 9.08353994593495620814181237762
y[1] (numeric) = 9.0835399459349562080390399671391
absolute error = 1.027724104809e-19
relative error = 1.1314136459199748460808642579546e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.297
y[1] (analytic) = 9.101697661816878287562163589519
y[1] (numeric) = 9.1016976618168782874589303770455
absolute error = 1.032332124735e-19
relative error = 1.1342193106081774156868969090588e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.298
y[1] (analytic) = 9.1198917845015832329961672543565
y[1] (numeric) = 9.1198917845015832328924723159649
absolute error = 1.036949383916e-19
relative error = 1.1370193949869011006987540872550e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.299
y[1] (analytic) = 9.1381223867655860420970858923375
y[1] (numeric) = 9.1381223867655860419929283022562
absolute error = 1.041575900813e-19
relative error = 1.1398139100451061063170754653580e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=41.9MB, alloc=4.3MB, time=1.98
TOP MAIN SOLVE Loop
x[1] = 0.3
y[1] (analytic) = 9.156389541531320078349082240405
y[1] (numeric) = 9.1563895415313200782444610710117
absolute error = 1.046211693933e-19
relative error = 1.1426028667605495177032790739707e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.301
y[1] (analytic) = 9.174693321867428760897903113005
y[1] (numeric) = 9.1746933218674287607928174348233
absolute error = 1.050856781817e-19
relative error = 1.1453862760865638096007992329802e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.302
y[1] (analytic) = 9.1930338009890578392219808559575
y[1] (numeric) = 9.1930338009890578391164297376521
absolute error = 1.055511183054e-19
relative error = 1.1481641489672755524678133892852e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.303
y[1] (analytic) = 9.2114110522581482538130514675315
y[1] (numeric) = 9.2114110522581482537070339759062
absolute error = 1.060174916253e-19
relative error = 1.1509364963070467646337995946338e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.304
y[1] (analytic) = 9.229825149183729584037732499688
y[1] (numeric) = 9.229825149183729583931247699681
absolute error = 1.064848000070e-19
relative error = 1.1537033289998710209867602390870e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.305
y[1] (analytic) = 9.248276165422214084353852577057
y[1] (numeric) = 9.2482761654222140842468995317368
absolute error = 1.069530453202e-19
relative error = 1.1564646579227367107248965220998e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.306
y[1] (analytic) = 9.266764174777691310057677791018
y[1] (numeric) = 9.2667641747776913099502555615802
absolute error = 1.074222294378e-19
relative error = 1.1592204939258319681323867707687e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.307
y[1] (analytic) = 9.285289251202223333740538350626
y[1] (numeric) = 9.2852892512022233336326459963898
absolute error = 1.078923542362e-19
relative error = 1.1619708478357905257076979160732e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.308
y[1] (analytic) = 9.30385146879614055363572171051
y[1] (numeric) = 9.303851468796140553527358288914
absolute error = 1.083634215960e-19
relative error = 1.1647157304631985955862633992270e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.309
y[1] (analytic) = 9.322450901808338095038865957727
y[1] (numeric) = 9.3224509018083380949300305243255
absolute error = 1.088354334015e-19
relative error = 1.1674551525971401333215044389510e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.31
y[1] (analytic) = 9.341087624636572805987459534347
y[1] (numeric) = 9.3410876246365728058781511428067
absolute error = 1.093083915403e-19
relative error = 1.1701891250008778876178306928968e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.311
y[1] (analytic) = 9.359761711827760848387430409766
y[1] (numeric) = 9.3597617118277608482776481118608
absolute error = 1.097822979052e-19
relative error = 1.1729176584321597035118789857322e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.312
y[1] (analytic) = 9.3784732380782758857771896058835
y[1] (numeric) = 9.3784732380782758856669324514922
absolute error = 1.102571543913e-19
relative error = 1.1756407636121012384630628507336e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.313
y[1] (analytic) = 9.397222278234247868921880528913
y[1] (numeric) = 9.3972222782342478688111475660147
absolute error = 1.107329628983e-19
relative error = 1.1783584512497760079022206909198e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.314
y[1] (analytic) = 9.4160089072918624204329768831945
y[1] (numeric) = 9.4160089072918624203217671578655
absolute error = 1.112097253290e-19
relative error = 1.1810707320261554461004396800344e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.315
y[1] (analytic) = 9.434833200397660819610768044586
y[1] (numeric) = 9.4348332003976608194990806009959
absolute error = 1.116874435901e-19
relative error = 1.1837776166026186899356017352907e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.316
y[1] (analytic) = 9.4536952328488405887096716633545
y[1] (numeric) = 9.4536952328488405885975055437609
absolute error = 1.121661195936e-19
relative error = 1.1864791156357078942686244520670e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.317
y[1] (analytic) = 9.4725950800935566818287189585925
y[1] (numeric) = 9.4725950800935566817160732033389
absolute error = 1.126457552536e-19
relative error = 1.1891752397431459416353263890319e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.318
y[1] (analytic) = 9.4915328177312232776319686676965
y[1] (numeric) = 9.4915328177312232775188423152081
absolute error = 1.131263524884e-19
relative error = 1.1918659995260994984271383054882e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.319
y[1] (analytic) = 9.5105085215128161771060209349475
y[1] (numeric) = 9.5105085215128161769924130217265
absolute error = 1.136079132210e-19
relative error = 1.1945514055743533795038735504240e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.32
y[1] (analytic) = 9.5295222673411758075642225724445
y[1] (numeric) = 9.5295222673411758074501321330673
absolute error = 1.140904393772e-19
relative error = 1.1972314684462380706782554046352e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.321
y[1] (analytic) = 9.548574131271310834109580114223
y[1] (numeric) = 9.5485741312713108339950061813363
absolute error = 1.145739328867e-19
relative error = 1.1999061986802155401711898972310e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.322
y[1] (analytic) = 9.5676641895107023797708269200235
y[1] (numeric) = 9.567664189510702379655768524339
absolute error = 1.150583956845e-19
relative error = 1.2025756068094627997763709030350e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.323
y[1] (analytic) = 9.5867925184196088555285252786005
y[1] (numeric) = 9.5867925184196088554129814488928
absolute error = 1.155438297077e-19
relative error = 1.2052397033282983946444550946464e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.324
y[1] (analytic) = 9.605959194511371401450524021431
y[1] (numeric) = 9.6059591945113714013344937845327
absolute error = 1.160302368983e-19
relative error = 1.2078984987214713804143208795617e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.325
y[1] (analytic) = 9.6251642944527199401585365958975
y[1] (numeric) = 9.6251642944527199400420189766957
absolute error = 1.165176192018e-19
relative error = 1.2105520034494653758935163011784e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.326
y[1] (analytic) = 9.6444078950640798438500538723355
y[1] (numeric) = 9.6444078950640798437330478937675
absolute error = 1.170059785680e-19
relative error = 1.2132002279567892870455661270027e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.327
y[1] (analytic) = 9.6636900733198792161022601814835
y[1] (numeric) = 9.6636900733198792159847648645329
absolute error = 1.174953169506e-19
relative error = 1.2158431826677516250085726934089e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=45.7MB, alloc=4.4MB, time=2.16
x[1] = 0.328
y[1] (analytic) = 9.683010906348856789687080207708
y[1] (numeric) = 9.6830109063488567895690945714021
absolute error = 1.179856363059e-19
relative error = 1.2184808779729907569119129030021e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.329
y[1] (analytic) = 9.702370471434370441628948408727
y[1] (numeric) = 9.7023704714343704415104714701313
absolute error = 1.184769385957e-19
relative error = 1.2211133242594550341678482827561e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.33
y[1] (analytic) = 9.721768846014706326739361604255
y[1] (numeric) = 9.7217688460147063266203923784696
absolute error = 1.189692257854e-19
relative error = 1.2237405318906512984472389627522e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.331
y[1] (analytic) = 9.7412061076833886308647492839635
y[1] (numeric) = 9.7412061076833886307452867841191
absolute error = 1.194624998444e-19
relative error = 1.2263625112107401386410103345860e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.332
y[1] (analytic) = 9.7606823341894899450866750392405
y[1] (numeric) = 9.7606823341894899449667182764953
absolute error = 1.199567627452e-19
relative error = 1.2289792725352638020946201428655e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.333
y[1] (analytic) = 9.78019760343794226211586633339
y[1] (numeric) = 9.7801976034379422619954143169249
absolute error = 1.204520164651e-19
relative error = 1.2315908261685696257385309918809e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.334
y[1] (analytic) = 9.7997519934898485961240586010475
y[1] (numeric) = 9.7997519934898485960031103380622
absolute error = 1.209482629853e-19
relative error = 1.2341971823944943218588846447803e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.335
y[1] (analytic) = 9.8193455825627952272601334196845
y[1] (numeric) = 9.8193455825627952271386879153943
absolute error = 1.214455042902e-19
relative error = 1.2367983514691962891249564034670e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.336
y[1] (analytic) = 9.838978449031164572099529234082
y[1] (numeric) = 9.8389784490311645719775854917125
absolute error = 1.219437423695e-19
relative error = 1.2393943436425322335430398087456e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.337
y[1] (analytic) = 9.8586506714264486812784068485705
y[1] (numeric) = 9.858650671426448681155963869355
absolute error = 1.224429792155e-19
relative error = 1.2419851691304903385248432748068e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.338
y[1] (analytic) = 9.8783623284375633655665606417045
y[1] (numeric) = 9.8783623284375633654436174248788
absolute error = 1.229432168257e-19
relative error = 1.2445708381416055095905734926811e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.339
y[1] (analytic) = 9.8981134989111629516355802138415
y[1] (numeric) = 9.8981134989111629515121357566406
absolute error = 1.234444572009e-19
relative error = 1.2471513608575962082693691516084e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.34
y[1] (analytic) = 9.9179042618519556687812859599535
y[1] (numeric) = 9.9179042618519556686573392576078
absolute error = 1.239467023457e-19
relative error = 1.2497267474384312584253357965344e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.341
y[1] (analytic) = 9.937734696423019667861985877928
y[1] (numeric) = 9.9377346964230196677375359236582
absolute error = 1.244499542698e-19
relative error = 1.2522970080353867534557809285513e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.342
y[1] (analytic) = 9.957604881946119673716629786738
y[1] (numeric) = 9.9576048819461196735916755717527
absolute error = 1.249542149853e-19
relative error = 1.2548621527637766720368212983211e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.343
y[1] (analytic) = 9.977514897902024272329471049313
y[1] (numeric) = 9.977514897902024272204011562803
absolute error = 1.254594865100e-19
relative error = 1.2574221917361447626298919065860e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.344
y[1] (analytic) = 9.9974648239308238340103848817945
y[1] (numeric) = 9.9974648239308238338844191109296
absolute error = 1.259657708649e-19
relative error = 1.2599771350370455064315255411687e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.345
y[1] (analytic) = 10.017454739832249073862536394356
y[1] (numeric) = 10.017454739832249073736063324281
absolute error = 1.26473070075e-19
relative error = 1.2625269927310687377564516515472e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.346
y[1] (analytic) = 10.037484725565990250811640659004
y[1] (numeric) = 10.037484725565990250684659272835
absolute error = 1.26981386169e-19
relative error = 1.2650717748598099818131846516366e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.347
y[1] (analytic) = 10.057554861252017006473611346998
y[1] (numeric) = 10.057554861252017006346120625818
absolute error = 1.27490721180e-19
relative error = 1.2676114914488200818130758367050e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.348
y[1] (analytic) = 10.07766522717089884513995383294
y[1] (numeric) = 10.077665227170898845011952755793
absolute error = 1.28001077147e-19
relative error = 1.2701461525224103864127063848840e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.349
y[1] (analytic) = 10.097815903764126256162823134402
y[1] (numeric) = 10.097815903764126256034310678293
absolute error = 1.28512456109e-19
relative error = 1.2726757680449975054427005391015e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.35
y[1] (analytic) = 10.118006971634432480024236655506
y[1] (numeric) = 10.118006971634432479895211795391
absolute error = 1.29024860115e-19
relative error = 1.2752003480202950613956158858957e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.351
y[1] (analytic) = 10.138238511546115919376506440302
y[1] (numeric) = 10.138238511546115919246968149091
absolute error = 1.29538291211e-19
relative error = 1.2777199023624565445790849180110e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.352
y[1] (analytic) = 10.158510604425363196343535527586
y[1] (numeric) = 10.158510604425363196213482776134
absolute error = 1.30052751452e-19
relative error = 1.2802344410148568060795658161776e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.353
y[1] (analytic) = 10.178823331360572857375208043058
y[1] (numeric) = 10.178823331360572857244639800161
absolute error = 1.30568242897e-19
relative error = 1.2827439739004423182330099352777e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.354
y[1] (analytic) = 10.199176773602679726949692878003
y[1] (numeric) = 10.199176773602679726818608110396
absolute error = 1.31084767607e-19
relative error = 1.2852485109020873697123663545238e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.355
y[1] (analytic) = 10.219571012565479911421076196175
y[1] (numeric) = 10.219571012565479911289473868527
absolute error = 1.31602327648e-19
relative error = 1.2877480618921114787815700393357e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.356
y[1] (analytic) = 10.240006129825956454312338592762
y[1] (numeric) = 10.240006129825956454180217667672
absolute error = 1.32120925090e-19
relative error = 1.2902426367223823530360094298903e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=49.5MB, alloc=4.4MB, time=2.34
x[1] = 0.357
y[1] (analytic) = 10.260482207124605644356298511533
y[1] (numeric) = 10.260482207124605644223657949525
absolute error = 1.32640562008e-19
relative error = 1.2927322452340293079953146955031e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.358
y[1] (analytic) = 10.280999326365763977589754519026
y[1] (numeric) = 10.280999326365763977456593278546
absolute error = 1.33161240480e-19
relative error = 1.2952168972378606219378347390122e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.359
y[1] (analytic) = 10.301557569617935774808675248303
y[1] (numeric) = 10.301557569617935774674992285713
absolute error = 1.33682962590e-19
relative error = 1.2976966025435514259795780071124e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.36
y[1] (analytic) = 10.322157019114121455694907269837
y[1] (numeric) = 10.322157019114121455560701539414
absolute error = 1.34205730423e-19
relative error = 1.3001713709109797984268384604243e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.361
y[1] (analytic) = 10.34279775725214647092749783408
y[1] (numeric) = 10.34279775725214647079276828801
absolute error = 1.34729546070e-19
relative error = 1.3026412120988303315505467964035e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.362
y[1] (analytic) = 10.36347986659499089359436136957
y[1] (numeric) = 10.363479866594990893459106957941
absolute error = 1.35254411629e-19
relative error = 1.3051061358740206900673909625719e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.363
y[1] (analytic) = 10.384203429871119671222655822691
y[1] (numeric) = 10.384203429871119671086875493494
absolute error = 1.35780329197e-19
relative error = 1.3075661519343443328093029343446e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.364
y[1] (analytic) = 10.404968529974813539748877400948
y[1] (numeric) = 10.404968529974813539612570100069
absolute error = 1.36307300879e-19
relative error = 1.3100212699954215814091332799041e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.365
y[1] (analytic) = 10.425775249966500600752330041334
y[1] (numeric) = 10.425775249966500600615494712552
absolute error = 1.36835328782e-19
relative error = 1.3124714997327385324914552674202e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.366
y[1] (analytic) = 10.446623673073088563278278979781
y[1] (numeric) = 10.446623673073088563140914564763
absolute error = 1.37364415018e-19
relative error = 1.3149168508105302566252267866618e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.367
y[1] (analytic) = 10.467513882688297651579756157298
y[1] (numeric) = 10.467513882688297651441861595593
absolute error = 1.37894561705e-19
relative error = 1.3173573328912128823178767396885e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.368
y[1] (analytic) = 10.488445962372994180109648873884
y[1] (numeric) = 10.488445962372994179971223102923
absolute error = 1.38425770961e-19
relative error = 1.3197929555779623807551927285584e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.369
y[1] (analytic) = 10.509419995855524797097372103358
y[1] (numeric) = 10.509419995855524796958414058446
absolute error = 1.38958044912e-19
relative error = 1.3222237284911939436639900392054e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.37
y[1] (analytic) = 10.530436067032051398047099221434
y[1] (numeric) = 10.530436067032051397907607835746
absolute error = 1.39491385688e-19
relative error = 1.3246496612301727890481818348627e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.371
y[1] (analytic) = 10.551494259966886710497205586518
y[1] (numeric) = 10.551494259966886710357179791097
absolute error = 1.40025795421e-19
relative error = 1.3270707633540373719899684250906e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.372
y[1] (analytic) = 10.572594658892830551383264458464
y[1] (numeric) = 10.572594658892830551242703182215
absolute error = 1.40561276249e-19
relative error = 1.3294870444198006771890528628607e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.373
y[1] (analytic) = 10.593737348211506758349625155596
y[1] (numeric) = 10.59373734821150675820852732528
absolute error = 1.41097830316e-19
relative error = 1.3318985139821397866562393386074e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.374
y[1] (analytic) = 10.614922412493700796357299145556
y[1] (numeric) = 10.61492241249370079621566368579
absolute error = 1.41635459766e-19
relative error = 1.3343051815366629803013654738118e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.375
y[1] (analytic) = 10.636149936479698040938580951676
y[1] (numeric) = 10.636149936479698040796406784928
absolute error = 1.42174166748e-19
relative error = 1.3367070565672763042982267194907e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.376
y[1] (analytic) = 10.65742000507962273945153734439
y[1] (numeric) = 10.657420005079622739308823390969
absolute error = 1.42713953421e-19
relative error = 1.3391041485929855552575745524243e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.377
y[1] (analytic) = 10.678732703373777651690210287584
y[1] (numeric) = 10.678732703373777651546955465644
absolute error = 1.43254821940e-19
relative error = 1.3414964670362138757993117250576e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.378
y[1] (analytic) = 10.700088116612984371209096533581
y[1] (numeric) = 10.70008811661298437106529975911
absolute error = 1.43796774471e-19
relative error = 1.3438840213637190292262083496890e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.379
y[1] (analytic) = 10.721486330218924328723189618398
y[1] (numeric) = 10.721486330218924328578849805216
absolute error = 1.44339813182e-19
relative error = 1.3462668210019785045913349012934e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.38
y[1] (analytic) = 10.742927429784480478947598312151
y[1] (numeric) = 10.742927429784480478802714371908
absolute error = 1.44883940243e-19
relative error = 1.3486448753373603769752435058222e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.381
y[1] (analytic) = 10.76441150107407967224348933865
y[1] (numeric) = 10.764411501074079672098060180817
absolute error = 1.45429157833e-19
relative error = 1.3510181937813227245380173288427e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.382
y[1] (analytic) = 10.78593863002403571243984140444
y[1] (numeric) = 10.785938630024035712293865936309
absolute error = 1.45975468131e-19
relative error = 1.3533867856864924869685966495923e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.383
y[1] (analytic) = 10.807508902742893102203242281736
y[1] (numeric) = 10.807508902742893102056719408413
absolute error = 1.46522873323e-19
relative error = 1.3557506604117921073605597578157e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.384
y[1] (analytic) = 10.829122405511771477330710882752
y[1] (numeric) = 10.829122405511771477183639507154
absolute error = 1.47071375598e-19
relative error = 1.3581098272852109410903727795259e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.385
y[1] (analytic) = 10.850779224784710731343281955963
y[1] (numeric) = 10.850779224784710731195660978812
absolute error = 1.47620977151e-19
relative error = 1.3604642956315327080337025035766e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=53.4MB, alloc=4.4MB, time=2.53
TOP MAIN SOLVE Loop
x[1] = 0.386
y[1] (analytic) = 10.872479447189016831760852238804
y[1] (numeric) = 10.872479447189016831612680558624
absolute error = 1.48171680180e-19
relative error = 1.3628140747445466475953034301741e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.387
y[1] (analytic) = 10.894223159525608329441553627282
y[1] (numeric) = 10.894223159525608329292830140394
absolute error = 1.48723486888e-19
relative error = 1.3651591739054866341738507599470e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.388
y[1] (analytic) = 10.916010448769363562371691182002
y[1] (numeric) = 10.91601044876936356222241478252
absolute error = 1.49276399482e-19
relative error = 1.3674996023737678667322439663440e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.389
y[1] (analytic) = 10.937841402069468555295061593301
y[1] (numeric) = 10.937841402069468555145231173127
absolute error = 1.49830420174e-19
relative error = 1.3698353693961194918317005004276e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.39
y[1] (analytic) = 10.959716106749765616573251086625
y[1] (numeric) = 10.959716106749765616422865535446
absolute error = 1.50385551179e-19
relative error = 1.3721664841882352997092731055518e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.391
y[1] (analytic) = 10.981634650309102633671300674147
y[1] (numeric) = 10.981634650309102633520358879428
absolute error = 1.50941794719e-19
relative error = 1.3744929559712807061330005194990e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.392
y[1] (analytic) = 11.003597120421683068665921160998
y[1] (numeric) = 11.00359712042168306851442200798
absolute error = 1.51499153018e-19
relative error = 1.3768147939261720727841927648476e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.393
y[1] (analytic) = 11.025603604937416655176240405652
y[1] (numeric) = 11.025603604937416655024182777345
absolute error = 1.52057628307e-19
relative error = 1.3791320072391003298695616700461e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.394
y[1] (analytic) = 11.047654191882270798119871025025
y[1] (numeric) = 11.047654191882270797967253802208
absolute error = 1.52617222817e-19
relative error = 1.3814446050378905968197163189144e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.395
y[1] (analytic) = 11.069748969458622677699898037124
y[1] (numeric) = 11.069748969458622677546720098336
absolute error = 1.53177938788e-19
relative error = 1.3837525964736608002236137426970e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.396
y[1] (analytic) = 11.091888026045612059031202858636
y[1] (numeric) = 11.091888026045612058877463080173
absolute error = 1.53739778463e-19
relative error = 1.3860559906662710058927868308099e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.397
y[1] (analytic) = 11.114071450199494808817362633185
y[1] (numeric) = 11.114071450199494808663059889095
absolute error = 1.54302744090e-19
relative error = 1.3883547967224045896571229560202e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.398
y[1] (analytic) = 11.136299330653997120492192069207
y[1] (numeric) = 11.136299330653997120337325231287
absolute error = 1.54866837920e-19
relative error = 1.3906490237175152818807598351049e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.399
y[1] (analytic) = 11.15857175632067044924282882591
y[1] (numeric) = 11.158571756320670449087396763701
absolute error = 1.55432062209e-19
relative error = 1.3929386807138372026155370021821e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.4
y[1] (analytic) = 11.180888816289247158334103012902
y[1] (numeric) = 11.180888816289247158178104593684
absolute error = 1.55998419218e-19
relative error = 1.3952237767602925323045185775769e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.401
y[1] (analytic) = 11.20325059982799687815677657517
y[1] (numeric) = 11.203250599827996878000210663957
absolute error = 1.56565911213e-19
relative error = 1.3975043208924002026682226245763e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.402
y[1] (analytic) = 11.225657196384083579425089231504
y[1] (numeric) = 11.22565719638408357926795469104
absolute error = 1.57134540464e-19
relative error = 1.3997803221232774373301900694576e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.403
y[1] (analytic) = 11.248108695583923361951904232651
y[1] (numeric) = 11.248108695583923361794199923406
absolute error = 1.57704309245e-19
relative error = 1.4020517894436393695853582562195e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.404
y[1] (analytic) = 11.270605187233542960432609516834
y[1] (numeric) = 11.270605187233542960274334296999
absolute error = 1.58275219835e-19
relative error = 1.4043187318306717690524755534770e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.405
y[1] (analytic) = 11.293146761318938968671797876252
y[1] (numeric) = 11.293146761318938968512950601733
absolute error = 1.58847274519e-19
relative error = 1.4065811582567979748609585912403e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.406
y[1] (analytic) = 11.315733508006437783689623520236
y[1] (numeric) = 11.315733508006437783530203044653
absolute error = 1.59420475583e-19
relative error = 1.4088390776453172547411171087095e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.407
y[1] (analytic) = 11.338365517643056271147611940431
y[1] (numeric) = 11.338365517643056270987617115109
absolute error = 1.59994825322e-19
relative error = 1.4110924989412288426745104931490e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.408
y[1] (analytic) = 11.361042880756863153536585262106
y[1] (numeric) = 11.361042880756863153376014936074
absolute error = 1.60570326032e-19
relative error = 1.4133414310403776899994298313058e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.409
y[1] (analytic) = 11.383765688057341122572256315173
y[1] (numeric) = 11.383765688057341122411109335158
absolute error = 1.61146980015e-19
relative error = 1.4155858828336443458586478534991e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.41
y[1] (analytic) = 11.406534030435749677246941490084
y[1] (numeric) = 11.406534030435749677085216700505
absolute error = 1.61724789579e-19
relative error = 1.4178258632067731478740244800954e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.411
y[1] (analytic) = 11.429347998965488688988745069252
y[1] (numeric) = 11.429347998965488688826441312219
absolute error = 1.62303757033e-19
relative error = 1.4200613809964548774760463776369e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.412
y[1] (analytic) = 11.452207684902462695382476155493
y[1] (numeric) = 11.452207684902462695219592270798
absolute error = 1.62883884695e-19
relative error = 1.4222924450604500691491837816298e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.413
y[1] (analytic) = 11.475113179685445923909473566862
y[1] (numeric) = 11.475113179685445923746008391977
absolute error = 1.63465174885e-19
relative error = 1.4245190642161568883208047385984e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.414
y[1] (analytic) = 11.498064574936448047166434143905
y[1] (numeric) = 11.498064574936448047002386513978
absolute error = 1.64047629927e-19
relative error = 1.4267412472581866842099775910294e-18 %
Correct digits = 19
h = 0.001
memory used=57.2MB, alloc=4.4MB, time=2.71
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.415
y[1] (analytic) = 11.5210619624610806710262658323
y[1] (numeric) = 11.521061962461080670861634580148
absolute error = 1.64631252152e-19
relative error = 1.4289590029844103553511401793188e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.416
y[1] (analytic) = 11.544105434248924557206918672944
y[1] (numeric) = 11.544105434248924557041702629051
absolute error = 1.65216043893e-19
relative error = 1.4311723401523938350181197566105e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.417
y[1] (analytic) = 11.567195082473897581717084464464
y[1] (numeric) = 11.567195082473897581551282456973
absolute error = 1.65802007491e-19
relative error = 1.4333812675314508094710350957813e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.418
y[1] (analytic) = 11.590330999494623430650599371534
y[1] (numeric) = 11.590330999494623430484210226245
absolute error = 1.66389145289e-19
relative error = 1.4355857938505389900860399303694e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.419
y[1] (analytic) = 11.613513277854801034804333148221
y[1] (numeric) = 11.613513277854801034637355688584
absolute error = 1.66977459637e-19
relative error = 1.4377859278414961165462643875583e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.42
y[1] (analytic) = 11.636742010283574744597303940489
y[1] (numeric) = 11.636742010283574744429736987603
absolute error = 1.67566952886e-19
relative error = 1.4399816781872315104615143658873e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.421
y[1] (analytic) = 11.660017289695905246771718837896
y[1] (numeric) = 11.6600172896959052466035612105
absolute error = 1.68157627396e-19
relative error = 1.4421730535906055469360381966933e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.422
y[1] (analytic) = 11.683339209192941224359607473183
y[1] (numeric) = 11.683339209192941224190857987656
absolute error = 1.68749485527e-19
relative error = 1.4443600626969798871211670635114e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.423
y[1] (analytic) = 11.70670786206239176140168903186
y[1] (numeric) = 11.706707862062391761232346502211
absolute error = 1.69342529649e-19
relative error = 1.4465427141799934028386647885948e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.424
y[1] (analytic) = 11.730123341778899493908092043776
y[1] (numeric) = 11.730123341778899493738155281643
absolute error = 1.69936762133e-19
relative error = 1.4487210166643372154552122507658e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.425
y[1] (analytic) = 11.7535857420044145085535312971
y[1] (numeric) = 11.753585742004414508382999111744
absolute error = 1.70532185356e-19
relative error = 1.4508949787685647200774000667805e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.426
y[1] (analytic) = 11.777095156588568990602537153946
y[1] (numeric) = 11.777095156588568990431408352247
absolute error = 1.71128801699e-19
relative error = 1.4530646090879535413468330262121e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.427
y[1] (analytic) = 11.800651679569052622563329468096
y[1] (numeric) = 11.800651679569052622391602854545
absolute error = 1.71726613551e-19
relative error = 1.4552299162284169306119221062096e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.428
y[1] (analytic) = 11.824255405171988735071931220832
y[1] (numeric) = 11.824255405171988734899605597532
absolute error = 1.72325623300e-19
relative error = 1.4573909087300660502860800287534e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.429
y[1] (analytic) = 11.847906427812311211511125912898
y[1] (numeric) = 11.847906427812311211338200079553
absolute error = 1.72925833345e-19
relative error = 1.4595475951689328044614690850842e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.43
y[1] (analytic) = 11.871604842094142147871877690921
y[1] (numeric) = 11.871604842094142147698350444836
absolute error = 1.73527246085e-19
relative error = 1.4616999840637377933334643191930e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.431
y[1] (analytic) = 11.895350742811170269367854157553
y[1] (numeric) = 11.895350742811170269193724293627
absolute error = 1.74129863926e-19
relative error = 1.4638480839350915841570697064729e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.432
y[1] (analytic) = 11.919144224947030105316718827956
y[1] (numeric) = 11.919144224947030105141985138678
absolute error = 1.74733689278e-19
relative error = 1.4659919032800908520530373337792e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.433
y[1] (analytic) = 11.942985383675681923804893263388
y[1] (numeric) = 11.94298538367568192362955453883
absolute error = 1.75338724558e-19
relative error = 1.4681314505974565435890596659675e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.434
y[1] (analytic) = 11.96687431436179242765552804749
y[1] (numeric) = 11.966874314361792427479583075305
absolute error = 1.75944972185e-19
relative error = 1.4702667343455203125215984338197e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.435
y[1] (analytic) = 11.990811112561116213222466984788
y[1] (numeric) = 11.990811112561116213045914550204
absolute error = 1.76552434584e-19
relative error = 1.4723977629757707205622274697528e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.436
y[1] (analytic) = 12.014795874020877993536040205846
y[1] (numeric) = 12.014795874020877993358879091662
absolute error = 1.77161114184e-19
relative error = 1.4745245449160607925016928886531e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.437
y[1] (analytic) = 12.038828694680155587329579271896
y[1] (numeric) = 12.038828694680155587151808258475
absolute error = 1.77771013421e-19
relative error = 1.4766470885955485655968402292371e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.438
y[1] (analytic) = 12.062909670670263675478610895641
y[1] (numeric) = 12.062909670670263675300228760907
absolute error = 1.78382134734e-19
relative error = 1.4787654024113103771761218876256e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.439
y[1] (analytic) = 12.087038898315138326387755546696
y[1] (numeric) = 12.087038898315138326208761066128
absolute error = 1.78994480568e-19
relative error = 1.4808794947532664186220202730520e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.44
y[1] (analytic) = 12.11121647413172229186343300195
y[1] (numeric) = 12.111216474131722291683824948579
absolute error = 1.79608053371e-19
relative error = 1.4829893739792679756250167301496e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.441
y[1] (analytic) = 12.135442494830351075013558845409
y[1] (numeric) = 12.13544249483035107483333598981
absolute error = 1.80222855599e-19
relative error = 1.4850950484564052790621637642046e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.442
y[1] (analytic) = 12.159717057315139771718504031052
y[1] (numeric) = 12.159717057315139771537665141341
absolute error = 1.80838889711e-19
relative error = 1.4871965265195829158290312440137e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=61.0MB, alloc=4.4MB, time=2.88
x[1] = 0.443
y[1] (analytic) = 12.184040258684370687220683908338
y[1] (numeric) = 12.184040258684370687039227750168
absolute error = 1.81456158170e-19
relative error = 1.4892938164798347933480851734679e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.444
y[1] (analytic) = 12.208412196230881729383243585538
y[1] (numeric) = 12.208412196230881729201168922092
absolute error = 1.82074663446e-19
relative error = 1.4913869266489227578498231814196e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.445
y[1] (analytic) = 12.232832967442455580171413183488
y[1] (numeric) = 12.232832967442455579988718775474
absolute error = 1.82694408014e-19
relative error = 1.4934758653227675735610828220260e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.446
y[1] (analytic) = 12.257302670002209646913219424079
y[1] (numeric) = 12.257302670002209646729904029729
absolute error = 1.83315394350e-19
relative error = 1.4955606407487607009582506325507e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.447
y[1] (analytic) = 12.281821401788986794899359116282
y[1] (numeric) = 12.281821401788986794715421491341
absolute error = 1.83937624941e-19
relative error = 1.4976412612074573532068653090500e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.448
y[1] (analytic) = 12.306389260877746862885165460147
y[1] (numeric) = 12.306389260877746862700604357873
absolute error = 1.84561102274e-19
relative error = 1.4997177349226500464977489075491e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.449
y[1] (analytic) = 12.331006345539958963060729698697
y[1] (numeric) = 12.331006345539958962875543869853
absolute error = 1.85185828844e-19
relative error = 1.5017900701265996300158047422200e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.45
y[1] (analytic) = 12.355672754243994567058378521241
y[1] (numeric) = 12.355672754243994566872566714092
absolute error = 1.85811807149e-19
relative error = 1.5038582750192727183707922128879e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.451
y[1] (analytic) = 12.380388585655521379569851772152
y[1] (numeric) = 12.380388585655521379383412732458
absolute error = 1.86439039694e-19
relative error = 1.5059223578007616873593762701056e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.452
y[1] (analytic) = 12.40515393863789800114867545897
y[1] (numeric) = 12.405153938637898000961607929984
absolute error = 1.87067528986e-19
relative error = 1.5079823266307669650197213637662e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.453
y[1] (analytic) = 12.429968912252569381776381795553
y[1] (numeric) = 12.429968912252569381588684518012
absolute error = 1.87697277541e-19
relative error = 1.5100381896851047078445425445774e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.454
y[1] (analytic) = 12.454833605759463066774391072414
y[1] (numeric) = 12.454833605759463066586062784537
absolute error = 1.88328287877e-19
relative error = 1.5120899550991330586677605887940e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.455
y[1] (analytic) = 12.479748118617386236646539530108
y[1] (numeric) = 12.47974811861738623645757896759
absolute error = 1.88960562518e-19
relative error = 1.5141376309999970999600590690367e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.456
y[1] (analytic) = 12.50471255048442354244041313517
y[1] (numeric) = 12.504712550484423542250819031176
absolute error = 1.89594103994e-19
relative error = 1.5161812255065012365884807004167e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.457
y[1] (analytic) = 12.529727001218335738218829234373
y[1] (numeric) = 12.529727001218335738028600319534
absolute error = 1.90228914839e-19
relative error = 1.5182207467130207550231740644155e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.458
y[1] (analytic) = 12.554791570876959112235996504757
y[1] (numeric) = 12.554791570876959112045131507166
absolute error = 1.90864997591e-19
relative error = 1.5202562026895359657586189125087e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.459
y[1] (analytic) = 12.579906359718605718416078436636
y[1] (numeric) = 12.579906359718605718224576081841
absolute error = 1.91502354795e-19
relative error = 1.5222876015055141496291515502053e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.46
y[1] (analytic) = 12.605071468202464409735086797482
y[1] (numeric) = 12.605071468202464409542945808481
absolute error = 1.92140989001e-19
relative error = 1.5243149512138395178476367170691e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.461
y[1] (analytic) = 12.630286996989002675110239138966
y[1] (numeric) = 12.630286996989002674917458236203
absolute error = 1.92780902763e-19
relative error = 1.5263382598428523767720971986856e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.462
y[1] (analytic) = 12.655553046940369281404128440378
y[1] (numeric) = 12.655553046940369281210706341737
absolute error = 1.93422098641e-19
relative error = 1.5283575354121888544684825606286e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.463
y[1] (analytic) = 12.680869719120797722154273441952
y[1] (numeric) = 12.680869719120797721960208862753
absolute error = 1.94064579199e-19
relative error = 1.5303727859168879813498500601835e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.464
y[1] (analytic) = 12.70623711479701047464184512423
y[1] (numeric) = 12.706237114797010474447136777223
absolute error = 1.94708347007e-19
relative error = 1.5323840193431694749821211401028e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.465
y[1] (analytic) = 12.731655335438624066916598147391
y[1] (numeric) = 12.731655335438624066721244742749
absolute error = 1.95353404642e-19
relative error = 1.5343912436761687652501584074305e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.466
y[1] (analytic) = 12.757124482718554956398275890339
y[1] (numeric) = 12.757124482718554956202276135657
absolute error = 1.95999754682e-19
relative error = 1.5363944668527077982353186710372e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.467
y[1] (analytic) = 12.782644658513426221678004036366
y[1] (numeric) = 12.782644658513426221481356636653
absolute error = 1.96647399713e-19
relative error = 1.5383936968163312560096618291039e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.468
y[1] (analytic) = 12.808215964903975069146440453205
y[1] (numeric) = 12.808215964903975068949144110879
absolute error = 1.97296342326e-19
relative error = 1.5403889414936107178291564473488e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.469
y[1] (analytic) = 12.833838504175461156078708423414
y[1] (numeric) = 12.833838504175461155880761838297
absolute error = 1.97946585117e-19
relative error = 1.5423802087941071839321990484181e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.47
y[1] (analytic) = 12.859512378818075731809406109264
y[1] (numeric) = 12.859512378818075731610807978579
absolute error = 1.98598130685e-19
relative error = 1.5443675065947815849491308168264e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.471
y[1] (analytic) = 12.88523769152735159863425749769
y[1] (numeric) = 12.885237691527351598435006516051
absolute error = 1.99250981639e-19
relative error = 1.5463508427944396397245258123485e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=64.8MB, alloc=4.4MB, time=3.07
x[1] = 0.472
y[1] (analytic) = 12.911014545204573894078248978503
y[1] (numeric) = 12.911014545204573893878343837915
absolute error = 1.99905140588e-19
relative error = 1.5483302252358551623415004666862e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.473
y[1] (analytic) = 12.936843042957191696173381176157
y[1] (numeric) = 12.936843042957191695972820566007
absolute error = 2.00560610150e-19
relative error = 1.5503056617756915268615910008804e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.474
y[1] (analytic) = 12.962723288099230453392457694845
y[1] (numeric) = 12.962723288099230453191240301898
absolute error = 2.01217392947e-19
relative error = 1.5522771602455861073996007514900e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.475
y[1] (analytic) = 12.988655384151705240888631062014
y[1] (numeric) = 12.988655384151705240686755570408
absolute error = 2.01875491606e-19
relative error = 1.5542447284598934378093826322401e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.476
y[1] (analytic) = 13.01463943484303484469373137948
y[1] (numeric) = 13.014639434843034844491196470721
absolute error = 2.02534908759e-19
relative error = 1.5562083742156526742953655801729e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.477
y[1] (analytic) = 13.040675544109456675531715027568
y[1] (numeric) = 13.040675544109456675328519380524
absolute error = 2.03195647044e-19
relative error = 1.5581681053002240157010600804057e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.478
y[1] (analytic) = 13.066763816095442513906889229298
y[1] (numeric) = 13.066763816095442513703031520196
absolute error = 2.03857709102e-19
relative error = 1.5601239294682218851062195216186e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.479
y[1] (analytic) = 13.092904355154115088129893381838
y[1] (numeric) = 13.092904355154115087925372284253
absolute error = 2.04521097585e-19
relative error = 1.5620758545027392084708871941665e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.48
y[1] (analytic) = 13.119097265847665486947749814577
y[1] (numeric) = 13.119097265847665486742563999433
absolute error = 2.05185815144e-19
relative error = 1.5640238881233899388485076293514e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.481
y[1] (analytic) = 13.145342652947771408447635050596
y[1] (numeric) = 13.145342652947771408241783186158
absolute error = 2.05851864438e-19
relative error = 1.5659680380552030867660976667847e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.482
y[1] (analytic) = 13.17164062143601624690736774426
y[1] (numeric) = 13.171640621436016246700848496128
absolute error = 2.06519248132e-19
relative error = 1.5679083120131817102589582093867e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.483
y[1] (analytic) = 13.197991276504309019268961255683
y[1] (numeric) = 13.197991276504309019061773286788
absolute error = 2.07187968895e-19
relative error = 1.5698447176870457835888848776182e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.484
y[1] (analytic) = 13.224394723555305132914947316171
y[1] (numeric) = 13.224394723555305132707089286769
absolute error = 2.07858029402e-19
relative error = 1.5717772627564047959635575801131e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.485
y[1] (analytic) = 13.250851068202827996430542450964
y[1] (numeric) = 13.250851068202827996222013018631
absolute error = 2.08529432333e-19
relative error = 1.5737059548831092766908943808414e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.486
y[1] (analytic) = 13.27736041627229147503810077009
y[1] (numeric) = 13.277360416272291474828898589715
absolute error = 2.09202180375e-19
relative error = 1.5756308017262886331881045756550e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.487
y[1] (analytic) = 13.303922873801123192393675428412
y[1] (numeric) = 13.303922873801123192183799152196
absolute error = 2.09876276216e-19
relative error = 1.5775518108970764969863720216615e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.488
y[1] (analytic) = 13.33053854703918868043889650553
y[1] (numeric) = 13.330538547039188680228344782974
absolute error = 2.10551722556e-19
relative error = 1.5794689900414045661051206732905e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.489
y[1] (analytic) = 13.357207542449216379004765278558
y[1] (numeric) = 13.357207542449216378793536756464
absolute error = 2.11228522094e-19
relative error = 1.5813823467421284415327865755605e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.49
y[1] (analytic) = 13.383929966707223486867363869648
y[1] (numeric) = 13.383929966707223486655457192109
absolute error = 2.11906677539e-19
relative error = 1.5832918886016426417554621300304e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.491
y[1] (analytic) = 13.410705926702942665958885058878
y[1] (numeric) = 13.410705926702942665746298867276
absolute error = 2.12586191602e-19
relative error = 1.5851976231818310737812293423619e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.492
y[1] (analytic) = 13.437535529540249600440799675579
y[1] (numeric) = 13.437535529540249600227532608576
absolute error = 2.13267067003e-19
relative error = 1.5870995580563625609968261002738e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.493
y[1] (analytic) = 13.464418882537591412349398430832
y[1] (numeric) = 13.464418882537591412135449124368
absolute error = 2.13949306464e-19
relative error = 1.5889977007583837944525227139217e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.494
y[1] (analytic) = 13.491356093228415935527371344546
y[1] (numeric) = 13.491356093228415935312738431831
absolute error = 2.14632912715e-19
relative error = 1.5908920588251954385694960025729e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.495
y[1] (analytic) = 13.518347269361601849558521065774
y[1] (numeric) = 13.518347269361601849343203177285
absolute error = 2.15317888489e-19
relative error = 1.5927826397610237964599006795615e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.496
y[1] (analytic) = 13.545392518901889675426146398656
y[1] (numeric) = 13.545392518901889675210142162129
absolute error = 2.16004236527e-19
relative error = 1.5946694510740632999025818268207e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.497
y[1] (analytic) = 13.572491950030313634619079242168
y[1] (numeric) = 13.572491950030313634402387282593
absolute error = 2.16691959575e-19
relative error = 1.5965525002541337068803432793256e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.498
y[1] (analytic) = 13.599645671144634373412811943641
y[1] (numeric) = 13.599645671144634373195430883259
absolute error = 2.17381060382e-19
relative error = 1.5984317947579571037576973391696e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.499
y[1] (analytic) = 13.626853790859772554056612767535
y[1] (numeric) = 13.62685379085977255383854122583
absolute error = 2.18071541705e-19
relative error = 1.6003073420459807890294813006900e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.5
y[1] (analytic) = 13.654116418008243314600994806034
y[1] (numeric) = 13.654116418008243314382231399727
absolute error = 2.18763406307e-19
relative error = 1.6021791495674936564191055982815e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=68.6MB, alloc=4.4MB, time=3.25
TOP MAIN SOLVE Loop
x[1] = 0.501
y[1] (analytic) = 13.681433661640591599103378220629
y[1] (numeric) = 13.681433661640591598883921563675
absolute error = 2.19456656954e-19
relative error = 1.6040472247386107340543685909946e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.502
y[1] (analytic) = 13.708805631025828359953267217782
y[1] (numeric) = 13.708805631025828359733115921362
absolute error = 2.20151296420e-19
relative error = 1.6059115749788780368614394910420e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.503
y[1] (analytic) = 13.73623243565186763406175164097
y[1] (numeric) = 13.736232435651867633840904313485
absolute error = 2.20847327485e-19
relative error = 1.6077722076964800089929940395827e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.504
y[1] (analytic) = 13.763714185225964494663638519886
y[1] (numeric) = 13.763714185225964494442093766956
absolute error = 2.21544752930e-19
relative error = 1.6096291302518267867523851792328e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.505
y[1] (analytic) = 13.791250989675153880484021369278
y[1] (numeric) = 13.791250989675153880261777793731
absolute error = 2.22243575547e-19
relative error = 1.6114823500303422284446326838660e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.506
y[1] (analytic) = 13.818842959146690304024604488776
y[1] (numeric) = 13.818842959146690303801660690646
absolute error = 2.22943798130e-19
relative error = 1.6133318743768886227528240044572e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.507
y[1] (analytic) = 13.846490204008488440728615995313
y[1] (numeric) = 13.846490204008488440504970571832
absolute error = 2.23645423481e-19
relative error = 1.6151777106393054622015212728704e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.508
y[1] (analytic) = 13.87419283484956460078666683522
y[1] (numeric) = 13.874192834849564600562318380815
absolute error = 2.24348454405e-19
relative error = 1.6170198661321444022655087808886e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.509
y[1] (analytic) = 13.901950962480479085349443588082
y[1] (numeric) = 13.901950962480479085124390694367
absolute error = 2.25052893715e-19
relative error = 1.6188583481727701134988103926653e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.51
y[1] (analytic) = 13.929764697933779428916660502917
y[1] (numeric) = 13.929764697933779428690901758688
absolute error = 2.25758744229e-19
relative error = 1.6206931640595989072948295304285e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.511
y[1] (analytic) = 13.957634152464444529675240913485
y[1] (numeric) = 13.957634152464444529448774904714
absolute error = 2.26466008771e-19
relative error = 1.6225243210792553129536781177117e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.512
y[1] (analytic) = 13.985559437550329669563249977622
y[1] (numeric) = 13.985559437550329669336075287454
absolute error = 2.27174690168e-19
relative error = 1.6243518264850423799372270376259e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.513
y[1] (analytic) = 14.0135406648926124258396595897
y[1] (numeric) = 14.013540664892612425611774798444
absolute error = 2.27884791256e-19
relative error = 1.6261756875398934778945412840652e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.514
y[1] (analytic) = 14.041577946416239475943592339804
y[1] (numeric) = 14.041577946416239475714996024928
absolute error = 2.28596314876e-19
relative error = 1.6279959114875937060132524407299e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.515
y[1] (analytic) = 14.069671394270374297430264552358
y[1] (numeric) = 14.069671394270374297200955288485
absolute error = 2.29309263873e-19
relative error = 1.6298125055456672301631745609995e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.516
y[1] (analytic) = 14.0978211208288457647744287449
y[1] (numeric) = 14.0978211208288457645444051038
absolute error = 2.30023641100e-19
relative error = 1.6316254769338167154830056913625e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.517
y[1] (analytic) = 14.1260272386905976448357033189
y[1] (numeric) = 14.126027238690597644604963869486
absolute error = 2.30739449414e-19
relative error = 1.6334348328453898278859012531082e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.518
y[1] (analytic) = 14.154289860680138992783771943272
y[1] (numeric) = 14.154289860680138992552315251596
absolute error = 2.31456691676e-19
relative error = 1.6352405804474467021163097053881e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.519
y[1] (analytic) = 14.182609099847995450285036931915
y[1] (numeric) = 14.182609099847995450052861561156
absolute error = 2.32175370759e-19
relative error = 1.6370427269372345559867577243335e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.52
y[1] (analytic) = 14.210985069471161447755919963598
y[1] (numeric) = 14.210985069471161447523024474063
absolute error = 2.32895489535e-19
relative error = 1.6388412794502135417120867276117e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.521
y[1] (analytic) = 14.239417883053553312491619760364
y[1] (numeric) = 14.23941788305355331225800270948
absolute error = 2.33617050884e-19
relative error = 1.6406362451236826655380638179106e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.522
y[1] (analytic) = 14.26790765432646328448275984361
y[1] (numeric) = 14.267907654326463284248419785915
absolute error = 2.34340057695e-19
relative error = 1.6424276311035765048991175481947e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.523
y[1] (analytic) = 14.296454497249014441735990239779
y[1] (numeric) = 14.296454497249014441500925726921
absolute error = 2.35064512858e-19
relative error = 1.6442154444882269895981379211651e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.524
y[1] (analytic) = 14.325058526008616536918245024662
y[1] (numeric) = 14.325058526008616536682454605391
absolute error = 2.35790419271e-19
relative error = 1.6459996923775093261272173344264e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.525
y[1] (analytic) = 14.353719855021422747148002891104
y[1] (numeric) = 14.353719855021422746911485111266
absolute error = 2.36517779838e-19
relative error = 1.6477803818586997229314394631305e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.526
y[1] (analytic) = 14.38243859893278733876055051416
y[1] (numeric) = 14.382438598932787338523303916692
absolute error = 2.37246597468e-19
relative error = 1.6495575199994546592944373442708e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.527
y[1] (analytic) = 14.41121487261772424887790838498
y[1] (numeric) = 14.411214872617724248639931509904
absolute error = 2.37976875076e-19
relative error = 1.6513311138547523787171073188617e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.528
y[1] (analytic) = 14.440048791181366585617746004565
y[1] (numeric) = 14.44004879118136658537903738898
absolute error = 2.38708615585e-19
relative error = 1.6531011704806768533465975452613e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.529
y[1] (analytic) = 14.468940469959427048779287885712
y[1] (numeric) = 14.468940469959427048539846063792
absolute error = 2.39441821920e-19
relative error = 1.6548676968927457938696434194119e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=72.4MB, alloc=4.4MB, time=3.43
TOP MAIN SOLVE Loop
x[1] = 0.53
y[1] (analytic) = 14.49789002451865927284789372069
y[1] (numeric) = 14.497890024518659272607717223675
absolute error = 2.40176497015e-19
relative error = 1.6566307001144053598803299510532e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.531
y[1] (analytic) = 14.526897570657320094163685348066
y[1] (numeric) = 14.526897570657320093922772704258
absolute error = 2.40912643808e-19
relative error = 1.6583901871423401800738012078130e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.532
y[1] (analytic) = 14.555963224405632744103289809562
y[1] (numeric) = 14.555963224405632743861639544317
absolute error = 2.41650265245e-19
relative error = 1.6601461649740281286306327713916e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.533
y[1] (analytic) = 14.585087102026250970127471841495
y[1] (numeric) = 14.585087102026250969885082477222
absolute error = 2.42389364273e-19
relative error = 1.6618986405595463511021948290750e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.534
y[1] (analytic) = 14.614269320014724086551140610178
y[1] (numeric) = 14.614269320014724086308010666326
absolute error = 2.43129943852e-19
relative error = 1.6636476208839638592646043664960e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.535
y[1] (analytic) = 14.64350999509996295689593439134
y[1] (numeric) = 14.643509995099962956652062384398
absolute error = 2.43872006942e-19
relative error = 1.6653931128780250052366347285787e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.536
y[1] (analytic) = 14.672809244244706909689313225262
y[1] (numeric) = 14.672809244244706909444697668748
absolute error = 2.44615556514e-19
relative error = 1.6671351234934681139439068582512e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.537
y[1] (analytic) = 14.702167184645991589577823366503
y[1] (numeric) = 14.702167184645991589332462770964
absolute error = 2.45360595539e-19
relative error = 1.6688736596278064505930375472543e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.538
y[1] (analytic) = 14.731583933735617745625938605122
y[1] (numeric) = 14.731583933735617745379831478122
absolute error = 2.46107127000e-19
relative error = 1.6706087282061355631101902479221e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.539
y[1] (analytic) = 14.761059609180620958675632279776
y[1] (numeric) = 14.761059609180620958428777125896
absolute error = 2.46855153880e-19
relative error = 1.6723403360993730599372042777633e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.54
y[1] (analytic) = 14.790594328883742309645590047312
y[1] (numeric) = 14.790594328883742309397985368138
absolute error = 2.47604679174e-19
relative error = 1.6740684902057408957664349983870e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.541
y[1] (analytic) = 14.82018821098389999065273723324
y[1] (numeric) = 14.820188210983899990404381527361
absolute error = 2.48355705879e-19
relative error = 1.6757931973828277777829324279631e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.542
y[1] (analytic) = 14.849841373856661860842525878027
y[1] (numeric) = 14.849841373856661860593417641029
absolute error = 2.49108236998e-19
relative error = 1.6775144644747403078722984886767e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.543
y[1] (analytic) = 14.879553936114718948818205430432
y[1] (numeric) = 14.879553936114718948568343154889
absolute error = 2.49862275543e-19
relative error = 1.6792322983322099122846816594849e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.544
y[1] (analytic) = 14.909326016608359903563087436291
y[1] (numeric) = 14.909326016608359903312469611762
absolute error = 2.50617824529e-19
relative error = 1.6809467057720940659442482032878e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.545
y[1] (analytic) = 14.939157734425946395753608544426
y[1] (numeric) = 14.939157734425946395502233657448
absolute error = 2.51374886978e-19
relative error = 1.6826576936042998219086993622283e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.546
y[1] (analytic) = 14.969049208894389471364797715792
y[1] (numeric) = 14.969049208894389471112664249872
absolute error = 2.52133465920e-19
relative error = 1.6843652686383447312532426917879e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.547
y[1] (analytic) = 14.999000559579626859473562692862
y[1] (numeric) = 14.999000559579626859220669128476
absolute error = 2.52893564386e-19
relative error = 1.6860694376365019820123868554074e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.548
y[1] (analytic) = 15.02901190628710123616902757883
y[1] (numeric) = 15.02901190628710123591537239341
absolute error = 2.53655185420e-19
relative error = 1.6877702073939283954339258148032e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.549
y[1] (analytic) = 15.05908336906223944648297780563
y[1] (numeric) = 15.059083369062239446228559473563
absolute error = 2.54418332067e-19
relative error = 1.6894675846584622538907151370180e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.55
y[1] (analytic) = 15.089215068190932686257300851552
y[1] (numeric) = 15.089215068190932686002117844172
absolute error = 2.55183007380e-19
relative error = 1.6911615761772971488118587753099e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.551
y[1] (analytic) = 15.119407124200017645869150818435
y[1] (numeric) = 15.119407124200017645613201604018
absolute error = 2.55949214417e-19
relative error = 1.6928521886769585800867409206601e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.552
y[1] (analytic) = 15.149659657857758617738412410633
y[1] (numeric) = 15.14965965785775861748169545439
absolute error = 2.56716956243e-19
relative error = 1.6945394288765238498046368418318e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.553
y[1] (analytic) = 15.179972790174330569545894988411
y[1] (numeric) = 15.179972790174330569288408752482
absolute error = 2.57486235929e-19
relative error = 1.6962233034809212214290900268622e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.554
y[1] (analytic) = 15.210346642402303185094550212654
y[1] (numeric) = 15.210346642402303184836293156102
absolute error = 2.58257056552e-19
relative error = 1.6979038191808835888040985564503e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.555
y[1] (analytic) = 15.240781336037125874749877371142
y[1] (numeric) = 15.240781336037125874490847949946
absolute error = 2.59029421196e-19
relative error = 1.6995809826594641964693634279181e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.556
y[1] (analytic) = 15.27127699281761375739955879469
y[1] (numeric) = 15.271276992817613757139755461741
absolute error = 2.59803332949e-19
relative error = 1.7012548005722814846976000595915e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.557
y[1] (analytic) = 15.301833734726434615876253849682
y[1] (numeric) = 15.301833734726434615615675054775
absolute error = 2.60578794907e-19
relative error = 1.7029252795737465519024364029542e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.558
y[1] (analytic) = 15.332451683990596827791373847439
y[1] (numeric) = 15.332451683990596827530018037265
memory used=76.2MB, alloc=4.4MB, time=3.61
absolute error = 2.61355810174e-19
relative error = 1.7045924263168888637164530843779e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.559
y[1] (analytic) = 15.36313096308193827373156185609
y[1] (numeric) = 15.363130963081938273469427474235
absolute error = 2.62134381855e-19
relative error = 1.7062562474076198050140729584574e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.56
y[1] (analytic) = 15.393871694717616224773510852768
y[1] (numeric) = 15.393871694717616224510596339701
absolute error = 2.62914513067e-19
relative error = 1.7079167494764732725992569346626e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.561
y[1] (analytic) = 15.424674001860598211276670928548
y[1] (numeric) = 15.42467400186059821101297472162
absolute error = 2.63696206928e-19
relative error = 1.7095739391068602024815930346587e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.562
y[1] (analytic) = 15.455538007720153874917321371495
y[1] (numeric) = 15.455538007720153874652841904927
absolute error = 2.64479466568e-19
relative error = 1.7112278229065243728249294246380e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.563
y[1] (analytic) = 15.48646383575234780593141641986
y[1] (numeric) = 15.486463835752347805666152124743
absolute error = 2.65264295117e-19
relative error = 1.7128784074296273774459772324588e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.564
y[1] (analytic) = 15.517451609660533367537554313974
y[1] (numeric) = 15.517451609660533367271503618259
absolute error = 2.66050695715e-19
relative error = 1.7145256992415408773033606288980e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.565
y[1] (analytic) = 15.548501453395847509515367997116
y[1] (numeric) = 15.548501453395847509248529325607
absolute error = 2.66838671509e-19
relative error = 1.7161697048992557016941422664190e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.566
y[1] (analytic) = 15.579613491157706572918592438676
y[1] (numeric) = 15.579613491157706572650964213027
absolute error = 2.67628225649e-19
relative error = 1.7178104309256056886356881359487e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.567
y[1] (analytic) = 15.610787847394303087906028092968
y[1] (numeric) = 15.610787847394303087637608731673
absolute error = 2.68419361295e-19
relative error = 1.7194478838542642831101936278777e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.568
y[1] (analytic) = 15.642024646803103566677592479926
y[1] (numeric) = 15.642024646803103566408380398315
absolute error = 2.69212081611e-19
relative error = 1.7210820701910939087830329910298e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.569
y[1] (analytic) = 15.673324014331347293506632295624
y[1] (numeric) = 15.673324014331347293236625905858
absolute error = 2.70006389766e-19
relative error = 1.7227129964206189932179454251111e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.57
y[1] (analytic) = 15.704686075176546113863656846928
y[1] (numeric) = 15.704686075176546113592854557989
absolute error = 2.70802288939e-19
relative error = 1.7243406690378925231655292415689e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.571
y[1] (analytic) = 15.736110954786985224630649971579
y[1] (numeric) = 15.736110954786985224359050189265
absolute error = 2.71599782314e-19
relative error = 1.7259650945164332737703270105296e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.572
y[1] (analytic) = 15.767598778862224967409121968693
y[1] (numeric) = 15.767598778862224967136723095612
absolute error = 2.72398873081e-19
relative error = 1.7275862793145986262374137585500e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.573
y[1] (analytic) = 15.799149673353603626929075440939
y[1] (numeric) = 15.799149673353603626655875876504
absolute error = 2.73199564435e-19
relative error = 1.7292042298692227290615619547883e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.574
y[1] (analytic) = 15.830763764464741236570079354654
y[1] (numeric) = 15.830763764464741236296077495074
absolute error = 2.74001859580e-19
relative error = 1.7308189526209151926095298836020e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.575
y[1] (analytic) = 15.862441178652044393009674073932
y[1] (numeric) = 15.862441178652044392734868312208
absolute error = 2.74805761724e-19
relative error = 1.7324304539823194694529523448433e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.576
y[1] (analytic) = 15.894182042625212082018366635397
y[1] (numeric) = 15.894182042625212081742755361313
absolute error = 2.75611274084e-19
relative error = 1.7340387403696667707282432251456e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.577
y[1] (analytic) = 15.925986483347742517424520118068
y[1] (numeric) = 15.925986483347742517148101718187
absolute error = 2.76418399881e-19
relative error = 1.7356438181711624431068439904442e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.578
y[1] (analytic) = 15.957854628037440995276493643674
y[1] (numeric) = 15.957854628037440994999266501329
absolute error = 2.77227142345e-19
relative error = 1.7372456937784153244753529928509e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.579
y[1] (analytic) = 15.989786604166928765233450333093
y[1] (numeric) = 15.989786604166928764955412828385
absolute error = 2.78037504708e-19
relative error = 1.7388443735424436096990595844571e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.58
y[1] (analytic) = 16.021782539464152921220319460675
y[1] (numeric) = 16.021782539464152920941469970461
absolute error = 2.78849490214e-19
relative error = 1.7404398638363125365967170987910e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.581
y[1] (analytic) = 16.05384256191289731338647610612
y[1] (numeric) = 16.053842561912897313106813004009
absolute error = 2.79663102111e-19
relative error = 1.7420321710049006074376199256818e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.582
y[1] (analytic) = 16.085966799753294483411786819862
y[1] (numeric) = 16.085966799753294483131308476211
absolute error = 2.80478343651e-19
relative error = 1.7436213013649985274051084387837e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.583
y[1] (analytic) = 16.118155381482338625207763208731
y[1] (numeric) = 16.118155381482338624926467990633
absolute error = 2.81295218098e-19
relative error = 1.7452072612550414480275717645498e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.584
y[1] (analytic) = 16.150408435854399573065666930424
y[1] (numeric) = 16.150408435854399572783553201707
absolute error = 2.82113728717e-19
relative error = 1.7467900569666022394369485201337e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.585
y[1] (analytic) = 16.182726091881737819307519374563
y[1] (numeric) = 16.182726091881737819024585495779
absolute error = 2.82933878784e-19
relative error = 1.7483696948064716717423916315127e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.586
y[1] (analytic) = 16.215108478835020563500087321035
y[1] (numeric) = 16.215108478835020563216331649456
absolute error = 2.83755671579e-19
relative error = 1.7499461810531563780144676705052e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=80.1MB, alloc=4.4MB, time=3.79
x[1] = 0.587
y[1] (analytic) = 16.24755572624383879529604211964
y[1] (numeric) = 16.247555726243838795011463009251
absolute error = 2.84579110389e-19
relative error = 1.7515195219754442213398571918585e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.588
y[1] (analytic) = 16.280067963897225412970624445124
y[1] (numeric) = 16.280067963897225412685220246617
absolute error = 2.85404198507e-19
relative error = 1.7530897238261783138826015234799e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.589
y[1] (analytic) = 16.312645321844174379726289465081
y[1] (numeric) = 16.312645321844174379440058525846
absolute error = 2.86230939235e-19
relative error = 1.7546567928606264147839471265153e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.59
y[1] (analytic) = 16.345287930394160919841958331508
y[1] (numeric) = 16.345287930394160919554898995629
absolute error = 2.87059335879e-19
relative error = 1.7562207353056867453742303141221e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.591
y[1] (analytic) = 16.377995920117662756747661286623
y[1] (numeric) = 16.377995920117662756459771894872
absolute error = 2.87889391751e-19
relative error = 1.7577815573722022624731115052824e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.592
y[1] (analytic) = 16.4107694218466823951095253765
y[1] (numeric) = 16.410769421846682394820804266326
absolute error = 2.88721110174e-19
relative error = 1.7593392652854090952045384401051e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.593
y[1] (analytic) = 16.443608566675270449014235808834
y[1] (numeric) = 16.443608566675270448724681314361
absolute error = 2.89554494473e-19
relative error = 1.7608938652298809779974791109564e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.594
y[1] (analytic) = 16.476513485960050018346284390484
y[1] (numeric) = 16.4765134859600500180558948425
absolute error = 2.90389547984e-19
relative error = 1.7624453634043782835243012438317e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.595
y[1] (analytic) = 16.509484311320742115455511252913
y[1] (numeric) = 16.509484311320742115164284978869
absolute error = 2.91226274044e-19
relative error = 1.7639937659609562415153591575566e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.596
y[1] (analytic) = 16.542521174640692144216647236309
y[1] (numeric) = 16.542521174640692143924582560308
absolute error = 2.92064676001e-19
relative error = 1.7655390790657018494522684298506e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.597
y[1] (analytic) = 16.575624208067397433586773872486
y[1] (numeric) = 16.575624208067397433293869115277
absolute error = 2.92904757209e-19
relative error = 1.7670813088682508127746474920214e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.598
y[1] (analytic) = 16.608793544013035827770835899812
y[1] (numeric) = 16.608793544013035827477089378782
absolute error = 2.93746521030e-19
relative error = 1.7686204615138146104148917711269e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.599
y[1] (analytic) = 16.64202931515499533510956767698
y[1] (numeric) = 16.642029315154995334814977706153
absolute error = 2.94589970827e-19
relative error = 1.7701565431009838353602052365625e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.6
y[1] (analytic) = 16.675331654436404837808429753555
y[1] (numeric) = 16.675331654436404837512994643577
absolute error = 2.95435109978e-19
relative error = 1.7716895597659713032429887394841e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.601
y[1] (analytic) = 16.708700695066665864630395220616
y[1] (numeric) = 16.708700695066665864334113278755
absolute error = 2.96281941861e-19
relative error = 1.7732195175922855794311789827126e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.602
y[1] (analytic) = 16.742136570521985428679677321708
y[1] (numeric) = 16.742136570521985428382546851843
absolute error = 2.97130469865e-19
relative error = 1.7747464226767807466141901625308e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.603
y[1] (analytic) = 16.775639414545909932407750169438
y[1] (numeric) = 16.775639414545909932109769472056
absolute error = 2.97980697382e-19
relative error = 1.7762702810816577564115742872912e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.604
y[1] (analytic) = 16.809209361149860141977283303688
y[1] (numeric) = 16.809209361149860141678450675874
absolute error = 2.98832627814e-19
relative error = 1.7777910988762762887403393282917e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.605
y[1] (analytic) = 16.842846544613667233123888260472
y[1] (numeric) = 16.842846544613667232824201995902
absolute error = 2.99686264570e-19
relative error = 1.7793088821190946333327358098887e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.606
y[1] (analytic) = 16.87655109948610991065986131315
y[1] (numeric) = 16.876551099486109910359319702088
absolute error = 3.00541611062e-19
relative error = 1.7808236368338995292605491723160e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.607
y[1] (analytic) = 16.910323160585452603768401117147
y[1] (numeric) = 16.910323160585452603467002446433
absolute error = 3.01398670714e-19
relative error = 1.7823353690631969636110394224680e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.608
y[1] (analytic) = 16.944162862999984739241083152614
y[1] (numeric) = 16.944162862999984738938825705661
absolute error = 3.02257446953e-19
relative error = 1.7838440848147333593540733663513e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.609
y[1] (analytic) = 16.978070342088561094815684633984
y[1] (numeric) = 16.978070342088561094512566690772
absolute error = 3.03117943212e-19
relative error = 1.7853497900793352401556224706967e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.61
y[1] (analytic) = 17.012045733481143234775773958186
y[1] (numeric) = 17.012045733481143234471793795249
absolute error = 3.03980162937e-19
relative error = 1.7868524908720493158384265132655e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.611
y[1] (analytic) = 17.046089173079342029977807811775
y[1] (numeric) = 17.0460891730793420296729637022
absolute error = 3.04844109575e-19
relative error = 1.7883521931613274511103201777799e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.612
y[1] (analytic) = 17.080200797056961264475816768752
y[1] (numeric) = 17.080200797056961264170106982171
absolute error = 3.05709786581e-19
relative error = 1.7898489029102980248335528993812e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.613
y[1] (analytic) = 17.114380741860542330918106602606
y[1] (numeric) = 17.114380741860542330611529405187
absolute error = 3.06577197419e-19
relative error = 1.7913426260824866523914629247070e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.614
y[1] (analytic) = 17.14862914420991001689475762565
y[1] (numeric) = 17.148629144209910016587311280093
absolute error = 3.07446345557e-19
relative error = 1.7928333686124798219792366357493e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.615
y[1] (analytic) = 17.182946141098719384419068173367
y[1] (numeric) = 17.182946141098719384110750938894
absolute error = 3.08317234473e-19
relative error = 1.7943211364409563694017066612512e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=83.9MB, alloc=4.4MB, time=3.98
x[1] = 0.616
y[1] (analytic) = 17.217331869795003744730460888706
y[1] (numeric) = 17.217331869795003744421271021055
absolute error = 3.09189867651e-19
relative error = 1.7958059354912192612551709773049e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.617
y[1] (analytic) = 17.251786467841723730610751748588
y[1] (numeric) = 17.251786467841723730300687500008
absolute error = 3.10064248580e-19
relative error = 1.7972877716633971036417883363193e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.618
y[1] (analytic) = 17.286310073057317468410071829804
y[1] (numeric) = 17.286310073057317468099131449046
absolute error = 3.10940380758e-19
relative error = 1.7987666508576401636152912079873e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.619
y[1] (analytic) = 17.320902823536251851983130651541
y[1] (numeric) = 17.32090282353625185167131238385
absolute error = 3.11818267691e-19
relative error = 1.8002425789681723326073665517591e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.62
y[1] (analytic) = 17.355564857649574920740917574624
y[1] (numeric) = 17.355564857649574920428219661735
absolute error = 3.12697912889e-19
relative error = 1.8017155618601282126341242043986e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.621
y[1] (analytic) = 17.390296314045469344027354200797
y[1] (numeric) = 17.390296314045469343713774880927
absolute error = 3.13579319870e-19
relative error = 1.8031856053926701558193603373515e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.622
y[1] (analytic) = 17.425097331649807014034836016616
y[1] (numeric) = 17.425097331649807013720373524455
absolute error = 3.14462492161e-19
relative error = 1.8046527154246128559326366075493e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.623
y[1] (analytic) = 17.459968049666704749477035683585
y[1] (numeric) = 17.45996804966670474916168825029
absolute error = 3.15347433295e-19
relative error = 1.8061168977970707216686478314757e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.624
y[1] (analytic) = 17.494908607579081112241783406684
y[1] (numeric) = 17.494908607579081111925549259873
absolute error = 3.16234146811e-19
relative error = 1.8075781583334604286686060344727e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.625
y[1] (analytic) = 17.529919145149214339251291735238
y[1] (numeric) = 17.529919145149214338934169098982
absolute error = 3.17122636256e-19
relative error = 1.8090365028509129391963110214517e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.626
y[1] (analytic) = 17.564999802419301391761452980928
y[1] (numeric) = 17.564999802419301391443440075745
absolute error = 3.18012905183e-19
relative error = 1.8104919371487766448299689480626e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.627
y[1] (analytic) = 17.600150719712018124336407195542
y[1] (numeric) = 17.600150719712018124017502238387
absolute error = 3.18904957155e-19
relative error = 1.8119444670313486478037363521949e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.628
y[1] (analytic) = 17.635372037631080575739057353615
y[1] (numeric) = 17.635372037631080575419258557877
absolute error = 3.19798795738e-19
relative error = 1.8133940982679594494807791847220e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.629
y[1] (analytic) = 17.670663897061807383982696050428
y[1] (numeric) = 17.670663897061807383662001625919
absolute error = 3.20694424509e-19
relative error = 1.8148408366384214882530631004192e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.63
y[1] (analytic) = 17.706026439171683327793404671736
y[1] (numeric) = 17.706026439171683327471812824687
absolute error = 3.21591847049e-19
relative error = 1.8162846878932176093856270460248e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.631
y[1] (analytic) = 17.741459805410923996737391636237
y[1] (numeric) = 17.741459805410923996414900569287
absolute error = 3.22491066950e-19
relative error = 1.8177256577930765662677984315522e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.632
y[1] (analytic) = 17.776964137513041592271950972994
y[1] (numeric) = 17.776964137513041591948558885187
absolute error = 3.23392087807e-19
relative error = 1.8191637520636965512959016486713e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.633
y[1] (analytic) = 17.812539577495411861983246192087
y[1] (numeric) = 17.812539577495411861658951278862
absolute error = 3.24294913225e-19
relative error = 1.8205989764352203954774368278746e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.634
y[1] (analytic) = 17.848186267659842169278657155504
y[1] (numeric) = 17.848186267659842168953457608689
absolute error = 3.25199546815e-19
relative error = 1.8220313366196082903279813954599e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.635
y[1] (analytic) = 17.883904350593140700805969475114
y[1] (numeric) = 17.883904350593140700479863482919
absolute error = 3.26105992195e-19
relative error = 1.8234608383162388788144500155138e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.636
y[1] (analytic) = 17.919693969167686813876236873406
y[1] (numeric) = 17.919693969167686813549222620414
absolute error = 3.27014252992e-19
relative error = 1.8248874872230241507192426291497e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.637
y[1] (analytic) = 17.955555266542002526171706958912
y[1] (numeric) = 17.955555266542002525843782626074
absolute error = 3.27924332838e-19
relative error = 1.8263112890139754404729373020604e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.638
y[1] (analytic) = 17.991488386161325150024770010006
y[1] (numeric) = 17.991488386161325149695933774632
absolute error = 3.28836235374e-19
relative error = 1.8277322493615032045779875560091e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.639
y[1] (analytic) = 18.027493471758181073558468646382
y[1] (numeric) = 18.027493471758181073228718682136
absolute error = 3.29749964246e-19
relative error = 1.8291503739140737257408575011247e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.64
y[1] (analytic) = 18.063570667352960690983693715299
y[1] (numeric) = 18.063570667352960690653028192187
absolute error = 3.30665523112e-19
relative error = 1.8305656683350290943234939229922e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.641
y[1] (analytic) = 18.099720117254494484352788347931
y[1] (numeric) = 18.099720117254494484021205432299
absolute error = 3.31582915632e-19
relative error = 1.8319781382470187104253576656516e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.642
y[1] (analytic) = 18.135941966060630259073887968378
y[1] (numeric) = 18.135941966060630258741385822903
absolute error = 3.32502145475e-19
relative error = 1.8333877892708317030657621566024e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.643
y[1] (analytic) = 18.17223635865881153549493908232
y[1] (numeric) = 18.172236358658811535161515866001
absolute error = 3.33423216319e-19
relative error = 1.8347946270252455261649549111709e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.644
y[1] (analytic) = 18.208603440226657098870963952586
y[1] (numeric) = 18.208603440226657098536617820737
absolute error = 3.34346131849e-19
relative error = 1.8361986571158920543456764972606e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=87.7MB, alloc=4.4MB, time=4.15
TOP MAIN SOLVE Loop
x[1] = 0.645
y[1] (analytic) = 18.245043356232541710032771803434
y[1] (numeric) = 18.245043356232541709697500907678
absolute error = 3.35270895756e-19
relative error = 1.8375998851297375552455171592318e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.646
y[1] (analytic) = 18.281556252436177979079960002662
y[1] (numeric) = 18.281556252436177978743762490924
absolute error = 3.36197511738e-19
relative error = 1.8389983166405689776785349052685e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.647
y[1] (analytic) = 18.318142274889199404425700769392
y[1] (numeric) = 18.31814227488919940408857478589
absolute error = 3.37125983502e-19
relative error = 1.8403939572198740740783608433285e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.648
y[1] (analytic) = 18.354801569935744579525470364058
y[1] (numeric) = 18.354801569935744579187414049294
absolute error = 3.38056314764e-19
relative error = 1.8417868124366949931596325879423e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.649
y[1] (analytic) = 18.391534284213042569626548454442
y[1] (numeric) = 18.3915342842130425692875599452
absolute error = 3.38988509242e-19
relative error = 1.8431768878194221710286259585596e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.65
y[1] (analytic) = 18.428340564651999460879795436294
y[1] (numeric) = 18.428340564651999460539872865627
absolute error = 3.39922570667e-19
relative error = 1.8445641889157212529615790641951e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.651
y[1] (analytic) = 18.46522055847778608415990493767
y[1] (numeric) = 18.465220558477786083819046434895
absolute error = 3.40858502775e-19
relative error = 1.8459487212488475594689687442744e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.652
y[1] (analytic) = 18.502174413210426915945027571652
y[1] (numeric) = 18.502174413210426915603231262343
absolute error = 3.41796309309e-19
relative error = 1.8473304903285300114735737058413e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.653
y[1] (analytic) = 18.539202276665390158611370241152
y[1] (numeric) = 18.539202276665390158268634247131
absolute error = 3.42735994021e-19
relative error = 1.8487095016617254848847713841735e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.654
y[1] (analytic) = 18.576304296954179002503092960947
y[1] (numeric) = 18.576304296954179002159415400278
absolute error = 3.43677560669e-19
relative error = 1.8500857607363284879662930654457e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.655
y[1] (analytic) = 18.61348062248492407214255226491
y[1] (numeric) = 18.613480622484924071797931251891
absolute error = 3.44621013019e-19
relative error = 1.8514592730319378753489355413194e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.656
y[1] (analytic) = 18.650731401962977058950676829316
y[1] (numeric) = 18.650731401962977058605110474469
absolute error = 3.45566354847e-19
relative error = 1.8528300440304950791063113865772e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.657
y[1] (analytic) = 18.688056784391505542852006985246
y[1] (numeric) = 18.688056784391505542505493395315
absolute error = 3.46513589931e-19
relative error = 1.8541980791732846424798253421574e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.658
y[1] (analytic) = 18.72545691907208900514368533335
y[1] (numeric) = 18.725456919072089004796222611288
absolute error = 3.47462722062e-19
relative error = 1.8555633839199154594296585266398e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.659
y[1] (analytic) = 18.7629319556053160350124507316
y[1] (numeric) = 18.762931955605316034664036976563
absolute error = 3.48413755037e-19
relative error = 1.8569259637106632004696724050714e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.66
y[1] (analytic) = 18.800482043891382732088462520288
y[1] (numeric) = 18.800482043891382731739095827629
absolute error = 3.49366692659e-19
relative error = 1.8582858239664954161639144516094e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.661
y[1] (analytic) = 18.838107334130692307429565997452
y[1] (numeric) = 18.838107334130692307079244458713
absolute error = 3.50321538739e-19
relative error = 1.8596429700997136790834731004557e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.662
y[1] (analytic) = 18.87580797682445588533440388124
y[1] (numeric) = 18.87580797682445588498312558414
absolute error = 3.51278297100e-19
relative error = 1.8609974075350643276095620371759e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.663
y[1] (analytic) = 18.913584122775294508387581812729
y[1] (numeric) = 18.913584122775294508035344841164
absolute error = 3.52236971565e-19
relative error = 1.8623491416460008667299345830254e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.664
y[1] (analytic) = 18.951435923087842348144908882556
y[1] (numeric) = 18.951435923087842347791711316585
absolute error = 3.53197565971e-19
relative error = 1.8636981778289016235314066084847e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.665
y[1] (analytic) = 18.989363529169351123871556726573
y[1] (numeric) = 18.989363529169351123517396642414
absolute error = 3.54160084159e-19
relative error = 1.8650445214500139244883877569320e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.666
y[1] (analytic) = 19.027367092730295731750812949081
y[1] (numeric) = 19.027367092730295731395688419101
absolute error = 3.55124529980e-19
relative error = 1.8663881778771215331690916582541e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.667
y[1] (analytic) = 19.065446765784981086985946516141
y[1] (numeric) = 19.06544676578498108662985560885
absolute error = 3.56090907291e-19
relative error = 1.8677291524583828937988109073960e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.668
y[1] (analytic) = 19.103602700652150181222554335566
y[1] (numeric) = 19.103602700652150180865495115608
absolute error = 3.57059219958e-19
relative error = 1.8690674505380645988525726385571e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.669
y[1] (analytic) = 19.141835049955593357723619523707
y[1] (numeric) = 19.141835049955593357365590051852
absolute error = 3.58029471855e-19
relative error = 1.8704030774511902567237416546231e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.67
y[1] (analytic) = 19.180143966624758806734382871644
y[1] (numeric) = 19.180143966624758806375381204782
absolute error = 3.59001666862e-19
relative error = 1.8717360385130394086457428312663e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.671
y[1] (analytic) = 19.218529603895364283479009784256
y[1] (numeric) = 19.218529603895364283119033975389
absolute error = 3.59975808867e-19
relative error = 1.8730663390295855038960611557334e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.672
y[1] (analytic) = 19.256992115310010051235925494467
y[1] (numeric) = 19.256992115310010050874973592699
absolute error = 3.60951901768e-19
relative error = 1.8743939843078093831835390708861e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.673
y[1] (analytic) = 19.295531654718793051943591671259
y[1] (numeric) = 19.29553165471879305158166172179
absolute error = 3.61929949469e-19
relative error = 1.8757189796347938571311981145825e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=91.5MB, alloc=4.4MB, time=4.33
TOP MAIN SOLVE Loop
x[1] = 0.674
y[1] (analytic) = 19.33414837627992230679340766346
y[1] (numeric) = 19.334148376279922306430497707577
absolute error = 3.62909955883e-19
relative error = 1.8770413302932735422635064315529e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.675
y[1] (analytic) = 19.372842434460335549271339571441
y[1] (numeric) = 19.372842434460335548907447646512
absolute error = 3.63891924929e-19
relative error = 1.8783610415460277643948148688217e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.676
y[1] (analytic) = 19.411613984036317093114810135421
y[1] (numeric) = 19.411613984036317092749934274886
absolute error = 3.64875860535e-19
relative error = 1.8796781186513695076133792481902e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.677
y[1] (analytic) = 19.450463180094116937656322091758
y[1] (numeric) = 19.450463180094116937290460325121
absolute error = 3.65861766637e-19
relative error = 1.8809925668578842933165065758579e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.678
y[1] (analytic) = 19.489390178030571113030237197195
y[1] (numeric) = 19.489390178030571112663387550018
absolute error = 3.66849647177e-19
relative error = 1.8823043913941008000529229851947e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.679
y[1] (analytic) = 19.528395133553723267724092575311
y[1] (numeric) = 19.528395133553723267356253069202
absolute error = 3.67839506109e-19
relative error = 1.8836135974992512623931850539656e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.68
y[1] (analytic) = 19.56747820268344750096080541921
y[1] (numeric) = 19.567478202683447500591974071818
absolute error = 3.68831347392e-19
relative error = 1.8849201903872270891603614972704e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.681
y[1] (analytic) = 19.606639541752072442403096409729
y[1] (numeric) = 19.606639541752072442033271234737
absolute error = 3.69825174992e-19
relative error = 1.8862241752568680416683956153341e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.682
y[1] (analytic) = 19.645879307405006581676451498953
y[1] (numeric) = 19.645879307405006581305630506068
absolute error = 3.70820992885e-19
relative error = 1.8875255573072191696228903288427e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.683
y[1] (analytic) = 19.685197656601364850211940984658
y[1] (numeric) = 19.685197656601364849840122179603
absolute error = 3.71818805055e-19
relative error = 1.8888243417272054356181340377728e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.684
y[1] (analytic) = 19.724594746614596457915224082404
y[1] (numeric) = 19.724594746614596457542405466912
absolute error = 3.72818615492e-19
relative error = 1.8901205336854294940435123527968e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.685
y[1] (analytic) = 19.764070735033113987173086508416
y[1] (numeric) = 19.764070735033113986799266080219
absolute error = 3.73820428197e-19
relative error = 1.8914141383555095709124672481351e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.686
y[1] (analytic) = 19.803625779760923746713887938178
y[1] (numeric) = 19.803625779760923746339063691004
absolute error = 3.74824247174e-19
relative error = 1.8927051608754697877570879494003e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.687
y[1] (analytic) = 19.843260039018257387843335623032
y[1] (numeric) = 19.84326003901825738746750554659
absolute error = 3.75830076442e-19
relative error = 1.8939936064084061779277781388287e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.688
y[1] (analytic) = 19.882973671342204785582049949993
y[1] (numeric) = 19.882973671342204785205212029971
absolute error = 3.76837920022e-19
relative error = 1.8952794800766915068708434881666e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.689
y[1] (analytic) = 19.922766835587348187236447338922
y[1] (numeric) = 19.922766835587348186858599556976
absolute error = 3.77847781946e-19
relative error = 1.8965627870073929560733677766584e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.69
y[1] (analytic) = 19.962639690926397630939535606094
y[1] (numeric) = 19.962639690926397630560675939839
absolute error = 3.78859666255e-19
relative error = 1.8978435323220444423982356643134e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.691
y[1] (analytic) = 20.002592396850827636703296804574
y[1] (numeric) = 20.00259239685082763632342322758
absolute error = 3.79873576994e-19
relative error = 1.8991217211115426037807448944108e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.692
y[1] (analytic) = 20.042625113171515172529422599864
y[1] (numeric) = 20.042625113171515172148533081645
absolute error = 3.80889518219e-19
relative error = 1.9003973584712157969297916516513e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.693
y[1] (analytic) = 20.082738000019378898130267474372
y[1] (numeric) = 20.082738000019378897748359980376
absolute error = 3.81907493996e-19
relative error = 1.9016704494956388776312216021641e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.694
y[1] (analytic) = 20.122931217846019688816995496835
y[1] (numeric) = 20.122931217846019688434067988441
absolute error = 3.82927508394e-19
relative error = 1.9029409992436925620875737626157e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.695
y[1] (analytic) = 20.163204927424362442117017063345
y[1] (numeric) = 20.16320492742436244173306749785
absolute error = 3.83949565495e-19
relative error = 1.9042090127883529997627693279850e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.696
y[1] (analytic) = 20.203559289849299169687942935429
y[1] (numeric) = 20.203559289849299169302969266043
absolute error = 3.84973669386e-19
relative error = 1.9054744951767930089590461701646e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.697
y[1] (analytic) = 20.243994466538333377100424088482
y[1] (numeric) = 20.243994466538333376714424264317
absolute error = 3.85999824165e-19
relative error = 1.9067374514601163786206114841440e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.698
y[1] (analytic) = 20.284510619232225734067397361074
y[1] (numeric) = 20.284510619232225733680369327139
absolute error = 3.87028033935e-19
relative error = 1.9079978866635783632641607226654e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.699
y[1] (analytic) = 20.325107909995641037702418683012
y[1] (numeric) = 20.325107909995641037314360380202
absolute error = 3.88058302810e-19
relative error = 1.9092558058162025460101968562215e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.7
y[1] (analytic) = 20.365786501217796471394937778104
y[1] (numeric) = 20.365786501217796471005847143194
absolute error = 3.89090634910e-19
relative error = 1.9105112139260315915184723957969e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.701
y[1] (analytic) = 20.406546555613111161895550707073
y[1] (numeric) = 20.406546555613111161505425672707
absolute error = 3.90125034366e-19
relative error = 1.9117641160046776999385407115062e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.702
y[1] (analytic) = 20.4473882362218570372094594577
y[1] (numeric) = 20.447388236221857036818297952386
absolute error = 3.91161505314e-19
relative error = 1.9130145170377829308171068503112e-18 %
Correct digits = 19
h = 0.001
memory used=95.3MB, alloc=4.4MB, time=4.52
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.703
y[1] (analytic) = 20.488311706410810987901571023858
y[1] (numeric) = 20.488311706410810987509370971958
absolute error = 3.92200051900e-19
relative error = 1.9142624220095219183557365898257e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.704
y[1] (analytic) = 20.529317129873908334421882063372
y[1] (numeric) = 20.529317129873908334028641385092
absolute error = 3.93240678280e-19
relative error = 1.9155078359024565165094157692250e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.705
y[1] (analytic) = 20.570404670632897603065019307526
y[1] (numeric) = 20.570404670632897602670735918913
absolute error = 3.94283388613e-19
relative error = 1.9167507636633622451728079070773e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.706
y[1] (analytic) = 20.611574493037996613183040433442
y[1] (numeric) = 20.611574493037996612787712246368
absolute error = 3.95328187074e-19
relative error = 1.9179912102664966862070876322201e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.707
y[1] (analytic) = 20.652826761768549878275845125278
y[1] (numeric) = 20.652826761768549877879470047439
absolute error = 3.96375077839e-19
relative error = 1.9192291806405365628600628946605e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.708
y[1] (analytic) = 20.69416164183368732358880156246
y[1] (numeric) = 20.694161641833687323191377497363
absolute error = 3.97424065097e-19
relative error = 1.9204646797268598246720193992274e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.709
y[1] (analytic) = 20.735579298572984322852459603722
y[1] (numeric) = 20.735579298572984322453984450679
absolute error = 3.98475153043e-19
relative error = 1.9216977124455014749647383449240e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.71
y[1] (analytic) = 20.777079897657123056804498505864
y[1] (numeric) = 20.777079897657123056404970159981
absolute error = 3.99528345883e-19
relative error = 1.9229282837192720397318383561309e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.711
y[1] (analytic) = 20.818663605088555196139344146828
y[1] (numeric) = 20.818663605088555195738760499
absolute error = 4.00583647828e-19
relative error = 1.9241563984447505055276073803541e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.712
y[1] (analytic) = 20.860330587202165911536188435144
y[1] (numeric) = 20.860330587202165911134547372043
absolute error = 4.01641063101e-19
relative error = 1.9253820615259434181888491470293e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.713
y[1] (analytic) = 20.902081010665939213421451903158
y[1] (numeric) = 20.902081010665939213018751307228
absolute error = 4.02700595930e-19
relative error = 1.9266052778405626319358159410574e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.714
y[1] (analytic) = 20.943915042481624624127049421027
y[1] (numeric) = 20.943915042481624623723287170474
absolute error = 4.03762250553e-19
relative error = 1.9278260522640020887741345747901e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.715
y[1] (analytic) = 20.985832849985405185111148553434
y[1] (numeric) = 20.985832849985405184706322522215
absolute error = 4.04826031219e-19
relative error = 1.9290443896739677904076925389594e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.716
y[1] (analytic) = 21.02783460084856680191345033272
y[1] (numeric) = 21.02783460084856680150755839054
absolute error = 4.05891942180e-19
relative error = 1.9302602949122514590582616288534e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.717
y[1] (analytic) = 21.06992046307816892952237316205
y[1] (numeric) = 21.069920463078168929115413174347
absolute error = 4.06959987703e-19
relative error = 1.9314737728418836871228871996572e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.718
y[1] (analytic) = 21.112090605017716600836882211546
y[1] (numeric) = 21.112090605017716600428852039488
absolute error = 4.08030172058e-19
relative error = 1.9326848282899247909112357262512e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.719
y[1] (analytic) = 21.154345195347833800911079050798
y[1] (numeric) = 21.154345195347833800501976551273
absolute error = 4.09102499525e-19
relative error = 1.9338934660807555421540444362348e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.72
y[1] (analytic) = 21.1966844030869381896750493939
y[1] (numeric) = 21.196684403086938189264872419506
absolute error = 4.10176974394e-19
relative error = 1.9350996910359464927879356417687e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.721
y[1] (analytic) = 21.239108397591917175830860740056
y[1] (numeric) = 21.239108397591917175419607139091
absolute error = 4.11253600965e-19
relative error = 1.9363035079741284817742608618964e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.722
y[1] (analytic) = 21.281617348558805344628006395163
y[1] (numeric) = 21.281617348558805344215674011621
absolute error = 4.12332383542e-19
relative error = 1.9375049216826709713341405628749e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.723
y[1] (analytic) = 21.324211426023463242228007879408
y[1] (numeric) = 21.324211426023463241814594552967
absolute error = 4.13413326441e-19
relative error = 1.9387039369553525134851954570616e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.724
y[1] (analytic) = 21.366890800362257519373314084308
y[1] (numeric) = 21.366890800362257518958817650321
absolute error = 4.14496433987e-19
relative error = 1.9399005585780995537178760368477e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.725
y[1] (analytic) = 21.409655642292742437081072761657
y[1] (numeric) = 21.409655642292742436665491051147
absolute error = 4.15581710510e-19
relative error = 1.9410947913102244365461461334820e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.726
y[1] (analytic) = 21.452506122874342737087798028156
y[1] (numeric) = 21.452506122874342736671128867804
absolute error = 4.16669160352e-19
relative error = 1.9422866399171642563881219720597e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.727
y[1] (analytic) = 21.495442413509037879776416574865
y[1] (numeric) = 21.495442413509037879358657787001
absolute error = 4.17758787864e-19
relative error = 1.9434761091563069026654210315830e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.728
y[1] (analytic) = 21.538464685942047652322645201995
y[1] (numeric) = 21.538464685942047651903794604592
absolute error = 4.18850597403e-19
relative error = 1.9446632037629860707194063008665e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.729
y[1] (analytic) = 21.581573112262519149803133178692
y[1] (numeric) = 21.581573112262519149383188585355
absolute error = 4.19944593337e-19
relative error = 1.9458479284737127208992165814271e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.73
y[1] (analytic) = 21.624767864904215132013294776353
y[1] (numeric) = 21.624767864904215131592253996311
absolute error = 4.21040780042e-19
relative error = 1.9470302880121342768043331748325e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=99.1MB, alloc=4.4MB, time=4.69
x[1] = 0.731
y[1] (analytic) = 21.668049116646203758748260164619
y[1] (numeric) = 21.668049116646203758326121002717
absolute error = 4.22139161902e-19
relative error = 1.9482102870890067623220841142739e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.732
y[1] (analytic) = 21.711417040613549706305886713491
y[1] (numeric) = 21.71141704061354970588264697018
absolute error = 4.23239743311e-19
relative error = 1.9493879304113792476725350551409e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.733
y[1] (analytic) = 21.754871810278006667976297635106
y[1] (numeric) = 21.754871810278006667551955106434
absolute error = 4.24342528672e-19
relative error = 1.9505632226778784415087856101883e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.734
y[1] (analytic) = 21.798413599458711241287950846659
y[1] (numeric) = 21.798413599458711240862503324264
absolute error = 4.25447522395e-19
relative error = 1.9517361685694619927763172089355e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.735
y[1] (analytic) = 21.842042582322878204785787963936
y[1] (numeric) = 21.842042582322878204359233235034
absolute error = 4.26554728902e-19
relative error = 1.9529067727723308660241885372381e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.736
y[1] (analytic) = 21.885758933386497187122571465076
y[1] (numeric) = 21.885758933386497186694907312457
absolute error = 4.27664152619e-19
relative error = 1.9540750399411682806931478492450e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.737
y[1] (analytic) = 21.929562827515030731250087318823
y[1] (numeric) = 21.929562827515030730821311520838
absolute error = 4.28775797985e-19
relative error = 1.9552409747403393054885794755146e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.738
y[1] (analytic) = 21.973454439924113756502470772812
y[1] (numeric) = 21.973454439924113756072581103365
absolute error = 4.29889669447e-19
relative error = 1.9564045818208847909521385889738e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.739
y[1] (analytic) = 22.017433946180254421369504567819
y[1] (numeric) = 22.017433946180254420938498796359
absolute error = 4.31005771460e-19
relative error = 1.9575658658204991940419028473928e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.74
y[1] (analytic) = 22.061501522201536389763341605647
y[1] (numeric) = 22.061501522201536389331217497158
absolute error = 4.32124108489e-19
relative error = 1.9587248313725744994622746904047e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.741
y[1] (analytic) = 22.105657344258322503587718073898
y[1] (numeric) = 22.105657344258322503154473388892
absolute error = 4.33244685006e-19
relative error = 1.9598814830925173734816546951538e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.742
y[1] (analytic) = 22.149901588973959864424348242712
y[1] (numeric) = 22.149901588973959863989980737218
absolute error = 4.34367505494e-19
relative error = 1.9610358255958328826310175288432e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.743
y[1] (analytic) = 22.194234433325486327156828619158
y[1] (numeric) = 22.194234433325486326721336044713
absolute error = 4.35492574445e-19
relative error = 1.9621878634889579783831453615158e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.744
y[1] (analytic) = 22.238656054644338408358026896889
y[1] (numeric) = 22.23865605464433840792140700053
absolute error = 4.36619896359e-19
relative error = 1.9633376013647009828819398616853e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.745
y[1] (analytic) = 22.283166630617060612272590194493
y[1] (numeric) = 22.283166630617060611834840718748
absolute error = 4.37749475745e-19
relative error = 1.9644850438067111315259362963936e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.746
y[1] (analytic) = 22.327766339286016177231877458345
y[1] (numeric) = 22.327766339286016176792996141223
absolute error = 4.38881317122e-19
relative error = 1.9656301953938948360141153596524e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.747
y[1] (analytic) = 22.372455359050099245344302637343
y[1] (numeric) = 22.372455359050099244904287212327
absolute error = 4.40015425016e-19
relative error = 1.9667730606868999118469123584396e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.748
y[1] (analytic) = 22.417233868665448458309768340472
y[1] (numeric) = 22.417233868665448457868616536507
absolute error = 4.41151803965e-19
relative error = 1.9679136442504483800457258635010e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.749
y[1] (analytic) = 22.462102047246161982212574186376
y[1] (numeric) = 22.462102047246161981770283727864
absolute error = 4.42290458512e-19
relative error = 1.9690519506219788597488494855286e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.75
y[1] (analytic) = 22.507060074265013964152899969966
y[1] (numeric) = 22.50706007426501396370946857675
absolute error = 4.43431393216e-19
relative error = 1.9701879843606389208297705363996e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.751
y[1] (analytic) = 22.552108129554172423582691127224
y[1] (numeric) = 22.552108129554172423138116514588
absolute error = 4.44574612636e-19
relative error = 1.9713217499759686367790803162023e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.752
y[1] (analytic) = 22.597246393305918581217512798997
y[1] (numeric) = 22.59724639330591858077179267765
absolute error = 4.45720121347e-19
relative error = 1.9724532519990472230113803951587e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.753
y[1] (analytic) = 22.642475046073367628401689100244
y[1] (numeric) = 22.642475046073367627954821176313
absolute error = 4.46867923931e-19
relative error = 1.9735824949423774638391618343642e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.754
y[1] (analytic) = 22.687794268771190939809806016356
y[1] (numeric) = 22.687794268771190939361787991376
absolute error = 4.48018024980e-19
relative error = 1.9747094833131409959818312622636e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.755
y[1] (analytic) = 22.733204242676339732373429695492
y[1] (numeric) = 22.733204242676339731924259266399
absolute error = 4.49170429093e-19
relative error = 1.9758342215999022040259932117839e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.756
y[1] (analytic) = 22.778705149428770173327676808697
y[1] (numeric) = 22.778705149428770172877351667817
absolute error = 4.50325140880e-19
relative error = 1.9769567142902017255903010576715e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.757
y[1] (analytic) = 22.824297171032169940278070130881
y[1] (numeric) = 22.824297171032169939826587965921
absolute error = 4.51482164960e-19
relative error = 1.9780769658616519150535206852001e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.758
y[1] (analytic) = 22.869980489854686236193920578838
y[1] (numeric) = 22.869980489854686235741279072876
absolute error = 4.52641505962e-19
relative error = 1.9791949807862562051518458436749e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.759
y[1] (analytic) = 22.915755288629655262240296650511
y[1] (numeric) = 22.915755288629655261786493481989
absolute error = 4.53803168522e-19
relative error = 1.9803107635172215366205686542590e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=102.9MB, alloc=4.4MB, time=4.87
x[1] = 0.76
y[1] (analytic) = 22.961621750456333151366473566026
y[1] (numeric) = 22.961621750456333150911506408739
absolute error = 4.54967157287e-19
relative error = 1.9814243185064143126798872865837e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.761
y[1] (analytic) = 23.00758005880062836557459743885
y[1] (numeric) = 23.007580058800628365118463961937
absolute error = 4.56133476913e-19
relative error = 1.9825356501955293868955308220025e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.762
y[1] (analytic) = 23.053630397495835559798154528276
y[1] (numeric) = 23.05363039749583555934085239621
absolute error = 4.57302132066e-19
relative error = 1.9836447630203775921361282114822e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.763
y[1] (analytic) = 23.099772950743370915325702065588
y[1] (numeric) = 23.099772950743370914867228938168
absolute error = 4.58473127420e-19
relative error = 1.9847516614021348353023221870555e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.764
y[1] (analytic) = 23.14600790311350894571119532928
y[1] (numeric) = 23.146007903113508945251548861621
absolute error = 4.59646467659e-19
relative error = 1.9858563497559775087667443377425e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.765
y[1] (analytic) = 23.192335439546120778118135593042
y[1] (numeric) = 23.192335439546120777657313435565
absolute error = 4.60822157477e-19
relative error = 1.9869588324909912276088702889324e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.766
y[1] (analytic) = 23.238755745351413913050665307474
y[1] (numeric) = 23.238755745351413912588665105899
absolute error = 4.62000201575e-19
relative error = 1.9880591139971710377548966070259e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.767
y[1] (analytic) = 23.285269006210673465430650426277
y[1] (numeric) = 23.28526900621067346496746982161
absolute error = 4.63180604667e-19
relative error = 1.9891571986712283275594642076727e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.768
y[1] (analytic) = 23.331875408177004889985715173536
y[1] (numeric) = 23.331875408177004889521351802063
absolute error = 4.64363371473e-19
relative error = 1.9902530908863713005904770887272e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.769
y[1] (analytic) = 23.378575137676078193919131794574
y[1] (numeric) = 23.378575137676078193453583287849
absolute error = 4.65548506725e-19
relative error = 1.9913467950180531934852426007046e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.77
y[1] (analytic) = 23.42536838150687363983841696219
y[1] (numeric) = 23.425368381506873639371680947025
absolute error = 4.66736015165e-19
relative error = 1.9924383154352617793695734885953e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.771
y[1] (analytic) = 23.472255326842428941925447546947
y[1] (numeric) = 23.472255326842428941457521645407
absolute error = 4.67925901540e-19
relative error = 1.9935276564791315786853999952143e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.772
y[1] (analytic) = 23.51923616123058795833688142825
y[1] (numeric) = 23.519236161230587957867763257638
absolute error = 4.69118170612e-19
relative error = 1.9946148225055898676729969546316e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.773
y[1] (analytic) = 23.56631107259475088282965394612
y[1] (numeric) = 23.566311072594750882359341118972
absolute error = 4.70312827148e-19
relative error = 1.9956998178426258096486149418410e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.774
y[1] (analytic) = 23.613480249234625938612317495945
y[1] (numeric) = 23.613480249234625938140807620016
absolute error = 4.71509875929e-19
relative error = 1.9967826468285328522936215916926e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.775
y[1] (analytic) = 23.660743879826982577429000673786
y[1] (numeric) = 23.660743879826982576956291352044
absolute error = 4.72709321742e-19
relative error = 1.9978633137778449745511128208978e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.776
y[1] (analytic) = 23.708102153426406186888784312378
y[1] (numeric) = 23.708102153426406186414873142994
absolute error = 4.73911169384e-19
relative error = 1.9989418229982956847706974497158e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.777
y[1] (analytic) = 23.755555259466054309059324731578
y[1] (numeric) = 23.755555259466054308584209307913
absolute error = 4.75115423665e-19
relative error = 2.0000181788033651328920809998107e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.778
y[1] (analytic) = 23.80310338775841437334959958605
y[1] (numeric) = 23.803103387758414372873277496652
absolute error = 4.76322089398e-19
relative error = 2.0010923854700620165171350619175e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.779
y[1] (analytic) = 23.850746728496062946712708851505
y[1] (numeric) = 23.850746728496062946235177680091
absolute error = 4.77531171414e-19
relative error = 2.0021644473020291595319787984956e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.78
y[1] (analytic) = 23.89848547225242650420573277299
y[1] (numeric) = 23.898485472252426503726990098444
absolute error = 4.78742674546e-19
relative error = 2.0032343685621790916826124915231e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.781
y[1] (analytic) = 23.946319809982543722949730029062
y[1] (numeric) = 23.946319809982543722469773425421
absolute error = 4.79956603641e-19
relative error = 2.0043021535230631188034881309262e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.782
y[1] (analytic) = 23.994249933023829302539052968206
y[1] (numeric) = 23.994249933023829302057880004651
absolute error = 4.81172963555e-19
relative error = 2.0053678064457883249405980210254e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.783
y[1] (analytic) = 24.042276033096839314955262573193
y[1] (numeric) = 24.042276033096839314472870814039
absolute error = 4.82391759154e-19
relative error = 2.0064313315841422260549676293955e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.784
y[1] (analytic) = 24.090398302306038087047043829499
y[1] (numeric) = 24.090398302306038086563430834187
absolute error = 4.83612995312e-19
relative error = 2.0074927331762150772669242003964e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.785
y[1] (analytic) = 24.138616933140566618643652439972
y[1] (numeric) = 24.138616933140566618158815763057
absolute error = 4.84836676915e-19
relative error = 2.0085520154609789645654656891199e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.786
y[1] (analytic) = 24.18693211847501253937556636407
y[1] (numeric) = 24.186932118475012538889503555214
absolute error = 4.86062808856e-19
relative error = 2.0096091826574584525814736186717e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.787
y[1] (analytic) = 24.235344051570181607282170490908
y[1] (numeric) = 24.235344051570181606794879094865
absolute error = 4.87291396043e-19
relative error = 2.0106642389977909966376427962482e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.788
y[1] (analytic) = 24.283852926073870752292469905488
y[1] (numeric) = 24.283852926073870751803947462102
absolute error = 4.88522443386e-19
relative error = 2.0117171886734145895095676073123e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=106.8MB, alloc=4.4MB, time=5.06
TOP MAIN SOLVE Loop
x[1] = 0.789
y[1] (analytic) = 24.332458936021642667671006701731
y[1] (numeric) = 24.332458936021642667181250745918
absolute error = 4.89755955813e-19
relative error = 2.0127680359010814578160547320013e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.79
y[1] (analytic) = 24.381162275837601952527347158722
y[1] (numeric) = 24.381162275837601952036355220467
absolute error = 4.90991938255e-19
relative error = 2.0138167848609351470701425415366e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.791
y[1] (analytic) = 24.429963140335172808493710353012
y[1] (numeric) = 24.429963140335172808001479957354
absolute error = 4.92230395658e-19
relative error = 2.0148634397458477934555363577441e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.792
y[1] (analytic) = 24.478861724717878293681525954392
y[1] (numeric) = 24.478861724717878293188054621417
absolute error = 4.93471332975e-19
relative error = 2.0159080047284646118926130287991e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.793
y[1] (analytic) = 24.527858224580121137033938070394
y[1] (numeric) = 24.527858224580121136539223315223
absolute error = 4.94714755171e-19
relative error = 2.0169504839816430762116842185150e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.794
y[1] (analytic) = 24.576952835907966116197513590608
y[1] (numeric) = 24.576952835907966115701552923392
absolute error = 4.95960667216e-19
relative error = 2.0179908816498216084348202386599e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.795
y[1] (analytic) = 24.626145755079924002042667560838
y[1] (numeric) = 24.62614575507992400154545848674
absolute error = 4.97209074098e-19
relative error = 2.0190292019019454189835312074487e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.796
y[1] (analytic) = 24.675437178867737072968584714024
y[1] (numeric) = 24.675437178867737072470124733215
absolute error = 4.98459980809e-19
relative error = 2.0200654488743386559093778323686e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.797
y[1] (analytic) = 24.724827304437166202134695425005
y[1] (numeric) = 24.724827304437166201634982032653
absolute error = 4.99713392352e-19
relative error = 2.0210996266991941757774496531836e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.798
y[1] (analytic) = 24.77431632934877952076705606446
y[1] (numeric) = 24.774316329348779520266086750718
absolute error = 5.00969313742e-19
relative error = 2.0221317395085046772903167724306e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.799
y[1] (analytic) = 24.823904451558742660694288029088
y[1] (numeric) = 24.823904451558742660192060279088
absolute error = 5.02227750000e-19
relative error = 2.0231617914097478491641127580549e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.8
y[1] (analytic) = 24.873591869419610579274046645474
y[1] (numeric) = 24.873591869419610578770557939311
absolute error = 5.03488706163e-19
relative error = 2.0241897865261877169186391924810e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.801
y[1] (analytic) = 24.923378781681120969877320709238
y[1] (numeric) = 24.923378781681120969372568521965
absolute error = 5.04752187273e-19
relative error = 2.0252157289524356925707597119748e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.802
y[1] (analytic) = 24.973265387490989261104205654586
y[1] (numeric) = 24.973265387490989260598187456202
absolute error = 5.06018198384e-19
relative error = 2.0262396227826198972347427073283e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.803
y[1] (analytic) = 25.023251886395705207911148277335
y[1] (numeric) = 25.023251886395705207403861532775
absolute error = 5.07286744560e-19
relative error = 2.0272614721022515337873827464713e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.804
y[1] (analytic) = 25.073338478341331077836028582514
y[1] (numeric) = 25.073338478341331077327470751638
absolute error = 5.08557830876e-19
relative error = 2.0282812809921531887758655574449e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.805
y[1] (analytic) = 25.123525363674301435513824721118
y[1] (numeric) = 25.123525363674301435003993258703
absolute error = 5.09831462415e-19
relative error = 2.0292990535164187473161918061501e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.806
y[1] (analytic) = 25.173812743142224528682000145062
y[1] (numeric) = 25.173812743142224528170892500789
absolute error = 5.11107644273e-19
relative error = 2.0303147937422964660599529092010e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.807
y[1] (analytic) = 25.224200817894685278881158070382
y[1] (numeric) = 25.224200817894685278368771688828
absolute error = 5.12386381554e-19
relative error = 2.0313285057201897826676538192766e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.808
y[1] (analytic) = 25.274689789484049880062927121973
y[1] (numeric) = 25.274689789484049879549259442599
absolute error = 5.13667679374e-19
relative error = 2.0323401934995059010213475688449e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.809
y[1] (analytic) = 25.325279859866272008323473664192
y[1] (numeric) = 25.325279859866272007808522121334
absolute error = 5.14951542858e-19
relative error = 2.0333498611166745777198640062269e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.81
y[1] (analytic) = 25.375971231401700645987480826326
y[1] (numeric) = 25.375971231401700645471242849188
absolute error = 5.16237977138e-19
relative error = 2.0343575125872508234411710382615e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.811
y[1] (analytic) = 25.426764106855889523273891635953
y[1] (numeric) = 25.426764106855889522756364648588
absolute error = 5.17526987365e-19
relative error = 2.0353631519531726449794890625987e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.812
y[1] (analytic) = 25.477658689400408180781184002386
y[1] (numeric) = 25.477658689400408180262365423694
absolute error = 5.18818578692e-19
relative error = 2.0363667832156279217407565735783e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.813
y[1] (analytic) = 25.528655182613654656036428572771
y[1] (numeric) = 25.528655182613654655516315816485
absolute error = 5.20112756286e-19
relative error = 2.0373684103823216969058809518298e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.814
y[1] (analytic) = 25.579753790481669797358876740605
y[1] (numeric) = 25.579753790481669796837467215282
absolute error = 5.21409525323e-19
relative error = 2.0383680374477200814550821129237e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.815
y[1] (analytic) = 25.630954717398953208295335346806
y[1] (numeric) = 25.630954717398953207772626455815
absolute error = 5.22708890991e-19
relative error = 2.0393656684047423391849679039962e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.816
y[1] (analytic) = 25.682258168169280825891106902748
y[1] (numeric) = 25.68225816816928082536709604426
absolute error = 5.24010858488e-19
relative error = 2.0403613072368444525790847682632e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.817
y[1] (analytic) = 25.733664348006524136066809509128
y[1] (numeric) = 25.733664348006524135541494076108
absolute error = 5.25315433020e-19
relative error = 2.0413549579101971864459455440114e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=110.6MB, alloc=4.4MB, time=5.24
TOP MAIN SOLVE Loop
x[1] = 0.818
y[1] (analytic) = 25.785173462535471029377939070238
y[1] (numeric) = 25.785173462535471028851316450432
absolute error = 5.26622619806e-19
relative error = 2.0423466243931053742038101469508e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.819
y[1] (analytic) = 25.836785717792648300440597936359
y[1] (numeric) = 25.836785717792648299912665512283
absolute error = 5.27932424076e-19
relative error = 2.0433363106481018521246816286752e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.82
y[1] (analytic) = 25.888501320227145794313388773854
y[1] (numeric) = 25.888501320227145793784143922787
absolute error = 5.29244851067e-19
relative error = 2.0443240206164101119354847597456e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.821
y[1] (analytic) = 25.940320476701442203132060289414
y[1] (numeric) = 25.940320476701442202601500383383
absolute error = 5.30559906031e-19
relative error = 2.0453097582488530785523215397819e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.822
y[1] (analytic) = 25.992243394492232516300092448078
y[1] (numeric) = 25.992243394492232515768214853851
absolute error = 5.31877594227e-19
relative error = 2.0462935274748353946520630758933e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.823
y[1] (analytic) = 26.04427028129125712754502305066
y[1] (numeric) = 26.044270281291257127011825129733
absolute error = 5.33197920927e-19
relative error = 2.0472753322254510536133470547412e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.824
y[1] (analytic) = 26.096401345206132602156945001342
y[1] (numeric) = 26.096401345206132601622424109933
absolute error = 5.34520891409e-19
relative error = 2.0482551764064995771012080064655e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.825
y[1] (analytic) = 26.148636794761184107732244327139
y[1] (numeric) = 26.14863679476118410719639781617
absolute error = 5.35846510969e-19
relative error = 2.0492330639444865723307198270004e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.826
y[1] (analytic) = 26.20097683889827951175230303406
y[1] (numeric) = 26.200976838898279511215128249153
absolute error = 5.37174784907e-19
relative error = 2.0502089987328410332312544249891e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.827
y[1] (analytic) = 26.253421686977665149333558226946
y[1] (numeric) = 26.253421686977665148795052508409
absolute error = 5.38505718537e-19
relative error = 2.0511829846701922159870175656230e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.828
y[1] (analytic) = 26.305971548778803264491989607548
y[1] (numeric) = 26.305971548778803263952150290366
absolute error = 5.39839317182e-19
relative error = 2.0521550256411679658366144504332e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.829
y[1] (analytic) = 26.3586266345012111282718015254
y[1] (numeric) = 26.358626634501211127730625939222
absolute error = 5.41175586178e-19
relative error = 2.0531251255315668294825295277875e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.83
y[1] (analytic) = 26.41138715476530183709477321503
y[1] (numeric) = 26.411387154765301836552258684162
absolute error = 5.42514530868e-19
relative error = 2.0540932882054862264267839876345e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.831
y[1] (analytic) = 26.464253320613226794693471737988
y[1] (numeric) = 26.464253320613226794149615581379
absolute error = 5.43856156609e-19
relative error = 2.0550595175318470855371797402197e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.832
y[1] (analytic) = 26.517225343509719880998256485833
y[1] (numeric) = 26.517225343509719880453056017066
absolute error = 5.45200468767e-19
relative error = 2.0560238173653477853798300355593e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.833
y[1] (analytic) = 26.570303435342943311354751917674
y[1] (numeric) = 26.570303435342943310808204444955
absolute error = 5.46547472719e-19
relative error = 2.0569861915539908226892055572763e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.834
y[1] (analytic) = 26.623487808425335189455226529955
y[1] (numeric) = 26.623487808425335188907329356101
absolute error = 5.47897173854e-19
relative error = 2.0579466439427635669421099856038e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.835
y[1] (analytic) = 26.67677867549445875737409091408
y[1] (numeric) = 26.676778675494458756824841336509
absolute error = 5.49249577571e-19
relative error = 2.0589051783660290949260968909890e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.836
y[1] (analytic) = 26.730176249713853346104516176196
y[1] (numeric) = 26.730176249713853345553911486918
absolute error = 5.50604689278e-19
relative error = 2.0598617986437490310663043849016e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.837
y[1] (analytic) = 26.783680744673887029999976000219
y[1] (numeric) = 26.783680744673887029448013485822
absolute error = 5.51962514397e-19
relative error = 2.0608165086001535295049185394966e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.838
y[1] (analytic) = 26.837292374392610988531331257127
y[1] (numeric) = 26.837292374392610987978008198769
absolute error = 5.53323058358e-19
relative error = 2.0617693120412001333393507724086e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.839
y[1] (analytic) = 26.891011353316615578776905328028
y[1] (numeric) = 26.891011353316615578222219001424
absolute error = 5.54686326604e-19
relative error = 2.0627202127732079517960697897852e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.84
y[1] (analytic) = 26.944837896321888122069841242718
y[1] (numeric) = 26.94483789632188812151378891813
absolute error = 5.56052324588e-19
relative error = 2.0636692145915788289195121781347e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.841
y[1] (analytic) = 26.998772218714672408233888366882
y[1] (numeric) = 26.998772218714672407676467309109
absolute error = 5.57421057773e-19
relative error = 2.0646163212807648304294932888542e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.842
y[1] (analytic) = 27.052814536232329920845636727092
y[1] (numeric) = 27.052814536232329920286844195455
absolute error = 5.58792531637e-19
relative error = 2.0655615366327186745362282516007e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.843
y[1] (analytic) = 27.106965065044202786968101170822
y[1] (numeric) = 27.10696506504420278640793441916
absolute error = 5.60166751662e-19
relative error = 2.0665048644060977884950881152294e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.844
y[1] (analytic) = 27.161224021752478454807455446452
y[1] (numeric) = 27.161224021752478454245911723105
absolute error = 5.61543723347e-19
relative error = 2.0674463083743176935110304242182e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.845
y[1] (analytic) = 27.21559162339305610275162798306
y[1] (numeric) = 27.21559162339305610218870453086
absolute error = 5.62923452200e-19
relative error = 2.0683858722958693004213020749107e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.846
y[1] (analytic) = 27.270068087436414783256396679626
y[1] (numeric) = 27.270068087436414782692090735887
absolute error = 5.64305943739e-19
memory used=114.4MB, alloc=4.4MB, time=5.42
relative error = 2.0693235599179938566433192610834e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.847
y[1] (analytic) = 27.324653631788483305051559405542
y[1] (numeric) = 27.324653631788483304485868202048
absolute error = 5.65691203494e-19
relative error = 2.0702593749839739751063291542362e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.848
y[1] (analytic) = 27.379348474791511857146710196956
y[1] (numeric) = 27.379348474791511856579630959949
absolute error = 5.67079237007e-19
relative error = 2.0711933212330327100317902024102e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.849
y[1] (analytic) = 27.434152835224945378123118334214
y[1] (numeric) = 27.434152835224945377554648284384
absolute error = 5.68470049830e-19
relative error = 2.0721254023929434366964370163419e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.85
y[1] (analytic) = 27.489066932306298674205188632414
y[1] (numeric) = 27.489066932306298673635324984889
absolute error = 5.69863647525e-19
relative error = 2.0730556221800037127346993949049e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.851
y[1] (analytic) = 27.544090985692033289611976397746
y[1] (numeric) = 27.544090985692033289040716362078
absolute error = 5.71260035668e-19
relative error = 2.0739839843135318499142313553825e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.852
y[1] (analytic) = 27.599225215478436132696239624814
y[1] (numeric) = 27.599225215478436132123580404971
absolute error = 5.72659219843e-19
relative error = 2.0749104924939570572028589190728e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.853
y[1] (analytic) = 27.65446984220249986138553416268
y[1] (numeric) = 27.654469842202499860811472957032
absolute error = 5.74061205648e-19
relative error = 2.0758351504245641820964548250897e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.854
y[1] (analytic) = 27.709825086842805031446894787835
y[1] (numeric) = 27.709825086842805030871428789145
absolute error = 5.75465998690e-19
relative error = 2.0767579617932813803941751941048e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.855
y[1] (analytic) = 27.765291170820404011103696419032
y[1] (numeric) = 27.765291170820404010526822814443
absolute error = 5.76873604589e-19
relative error = 2.0776789302871000243793526871007e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.856
y[1] (analytic) = 27.820868315999706665540355119972
y[1] (numeric) = 27.820868315999706664962071090997
absolute error = 5.78284028975e-19
relative error = 2.0785980595811612670313401348289e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.857
y[1] (analytic) = 27.876556744689367814837608089568
y[1] (numeric) = 27.876556744689367814257910812078
absolute error = 5.79697277490e-19
relative error = 2.0795153533459092348275089423146e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.858
y[1] (analytic) = 27.932356679643176468888205564172
y[1] (numeric) = 27.932356679643176468307092208384
absolute error = 5.81113355788e-19
relative error = 2.0804308152469985812070842874604e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.859
y[1] (analytic) = 27.988268344060946842849955480188
y[1] (numeric) = 27.988268344060946842267423210658
absolute error = 5.82532269530e-19
relative error = 2.0813444489273383474801015477834e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.86
y[1] (analytic) = 28.04429196158941115670018389728
y[1] (numeric) = 28.044291961589411156116229872885
absolute error = 5.83954024395e-19
relative error = 2.0822562580464034889598357050864e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.861
y[1] (analytic) = 28.100427756323114222462810590383
y[1] (numeric) = 28.100427756323114221877431964315
absolute error = 5.85378626068e-19
relative error = 2.0831662462372268294265707627431e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.862
y[1] (analytic) = 28.156675952805309822686389911646
y[1] (numeric) = 28.156675952805309822099583831398
absolute error = 5.86806080248e-19
relative error = 2.0840744171349361843403944409029e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.863
y[1] (analytic) = 28.21303677602885888375863202961
y[1] (numeric) = 28.213036776028858883170395636964
absolute error = 5.88236392646e-19
relative error = 2.0849807743695059571560063610026e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.864
y[1] (analytic) = 28.26951045143712944765009900128
y[1] (numeric) = 28.269510451437129447060429432298
absolute error = 5.89669568982e-19
relative error = 2.0858853215550576603625667256711e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.865
y[1] (analytic) = 28.326097204924898445686963851843
y[1] (numeric) = 28.326097204924898445095858236854
absolute error = 5.91105614989e-19
relative error = 2.0867880623040007331289153278368e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.866
y[1] (analytic) = 28.382797262839255277959928955428
y[1] (numeric) = 28.382797262839255277367384419016
absolute error = 5.92544536412e-19
relative error = 2.0876890002233880589462681506529e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.867
y[1] (analytic) = 28.439610851980507201983622557353
y[1] (numeric) = 28.439610851980507201389636218349
absolute error = 5.93986339004e-19
relative error = 2.0885881389007661526750272676030e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.868
y[1] (analytic) = 28.496538199603086534228029282639
y[1] (numeric) = 28.496538199603086533632598254104
absolute error = 5.95431028535e-19
relative error = 2.0894854819358143974244338425109e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.869
y[1] (analytic) = 28.5535795334164596681507619661
y[1] (numeric) = 28.553579533416459667553883355318
absolute error = 5.96878610782e-19
relative error = 2.0903810329050641977430742582992e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.87
y[1] (analytic) = 28.610735081586037912366248145138
y[1] (numeric) = 28.6107350815860379117679190536
absolute error = 5.98329091538e-19
relative error = 2.0912747953934484821118417149094e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.871
y[1] (analytic) = 28.668005072734090152595185106421
y[1] (numeric) = 28.66800507273409015199540262982
absolute error = 5.99782476601e-19
relative error = 2.0921667729557097998823169386498e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.872
y[1] (analytic) = 28.725389735940657341044912501172
y[1] (numeric) = 28.725389735940657340443673729385
absolute error = 6.01238771787e-19
relative error = 2.0930569691618198194912226191348e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.873
y[1] (analytic) = 28.782889300744468816878661269852
y[1] (numeric) = 28.78288930074446881627596328693
absolute error = 6.02697982922e-19
relative error = 2.0939453875688957659545337700844e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.874
y[1] (analytic) = 28.840503997143860461438961975006
y[1] (numeric) = 28.840503997143860460834801859165
absolute error = 6.04160115841e-19
relative error = 2.0948320317177235388269615773832e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=118.2MB, alloc=4.4MB, time=5.61
x[1] = 0.875
y[1] (analytic) = 28.898234055597694691897834660122
y[1] (numeric) = 28.898234055597694691292209483729
absolute error = 6.05625176393e-19
relative error = 2.0957169051500853424751333358719e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.876
y[1] (analytic) = 28.9560797070262822970137360619
y[1] (numeric) = 28.956079707026282296406642891462
absolute error = 6.07093170438e-19
relative error = 2.0966000113982521071729770095602e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.877
y[1] (analytic) = 29.014041182812306118682608432853
y[1] (numeric) = 29.014041182812306118074044329004
absolute error = 6.08564103849e-19
relative error = 2.0974813539918343892812411719681e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.878
y[1] (analytic) = 29.072118714801746582977757409996
y[1] (numeric) = 29.072118714801746582367719427488
absolute error = 6.10037982508e-19
relative error = 2.0983609364439129501468809117446e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.879
y[1] (analytic) = 29.130312535304809084380684323193
y[1] (numeric) = 29.13031253530480908376916951088
absolute error = 6.11514812313e-19
relative error = 2.0992387622750966463317585118996e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.88
y[1] (analytic) = 29.18862287709685322691241110298
y[1] (numeric) = 29.18862287709685322629941650381
absolute error = 6.12994599170e-19
relative error = 2.1001148349859026170782709233891e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.881
y[1] (analytic) = 29.24704997341932392588226355218
y[1] (numeric) = 29.247049973419323925267786203183
absolute error = 6.14477348997e-19
relative error = 2.1009891580704964174474078968281e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.882
y[1] (analytic) = 29.30559405798068437397852121789
y[1] (numeric) = 29.305594057980684373362558150164
absolute error = 6.15963067726e-19
relative error = 2.1018617350234435836333104702465e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.883
y[1] (analytic) = 29.364255364957350875432799470404
y[1] (numeric) = 29.364255364957350874815347709103
absolute error = 6.17451761301e-19
relative error = 2.1027325693327582088094602166335e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.884
y[1] (analytic) = 29.423034128994629551997501693044
y[1] (numeric) = 29.423034128994629551378558257368
absolute error = 6.18943435676e-19
relative error = 2.1036016644730343772955428950689e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.885
y[1] (analytic) = 29.48193058520765492448316674165
y[1] (numeric) = 29.481930585207654923862728644834
absolute error = 6.20438096816e-19
relative error = 2.1044690239088356039477136947661e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.886
y[1] (analytic) = 29.540944969182330373610039074568
y[1] (numeric) = 29.540944969182330372988103323866
absolute error = 6.21935750702e-19
relative error = 2.1053346511115845390507238084200e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.887
y[1] (analytic) = 29.60007751697627048393570621334
y[1] (numeric) = 29.600077516976270483312269810016
absolute error = 6.23436403324e-19
relative error = 2.1061985495357099565096993628320e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.888
y[1] (analytic) = 29.65932846511974527462818050114
y[1] (numeric) = 29.659328465119745274003240440457
absolute error = 6.24940060683e-19
relative error = 2.1070607226254233883616341755337e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.889
y[1] (analytic) = 29.718698050616626320861349510233
y[1] (numeric) = 29.718698050616626320234902781436
absolute error = 6.26446728797e-19
relative error = 2.1079211738348746513110611884765e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.89
y[1] (analytic) = 29.778186510945334769617281941752
y[1] (numeric) = 29.778186510945334768989325528063
absolute error = 6.27956413689e-19
relative error = 2.1087799065876190266642412749702e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.891
y[1] (analytic) = 29.837794084059791253687453491062
y[1] (numeric) = 29.837794084059791253057984369662
absolute error = 6.29469121400e-19
relative error = 2.1096369243203556040557043780063e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.892
y[1] (analytic) = 29.897521008390367707672549950138
y[1] (numeric) = 29.897521008390367707041565092159
absolute error = 6.30984857979e-19
relative error = 2.1104922304492133024120998914770e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.893
y[1] (analytic) = 29.957367522844841089788112815279
y[1] (numeric) = 29.957367522844841089155609185787
absolute error = 6.32503629492e-19
relative error = 2.1113458283998632411415349630418e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.894
y[1] (analytic) = 30.017333866809349013290915894352
y[1] (numeric) = 30.01733386680934901265689045234
absolute error = 6.34025442012e-19
relative error = 2.1121977215739742093378888121524e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.895
y[1] (analytic) = 30.077420280149347291348599893266
y[1] (numeric) = 30.077420280149347290713049591641
absolute error = 6.35550301625e-19
relative error = 2.1130479133692652585977858761330e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.896
y[1] (analytic) = 30.137627003210569399182745736932
y[1] (numeric) = 30.137627003210569398545667522498
absolute error = 6.37078214434e-19
relative error = 2.1138964071926827179201874060091e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.897
y[1] (analytic) = 30.197954276819987857323236476272
y[1] (numeric) = 30.197954276819987856684627289724
absolute error = 6.38609186548e-19
relative error = 2.1147432064237468298819713419448e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.898
y[1] (analytic) = 30.258402342286777539819442080601
y[1] (numeric) = 30.258402342286777539179298856511
absolute error = 6.40143224090e-19
relative error = 2.1155883144411292192181074116028e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.899
y[1] (analytic) = 30.318971441403280911261461244504
y[1] (numeric) = 30.318971441403280910619780911305
absolute error = 6.41680333199e-19
relative error = 2.1164317346291234128622856928561e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.9
y[1] (analytic) = 30.379661816445975196472369581162
y[1] (numeric) = 30.379661816445975195829149061141
absolute error = 6.43220520021e-19
relative error = 2.1172734703478289880932982403041e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.901
y[1] (analytic) = 30.440473710176441486740154260704
y[1] (numeric) = 30.440473710176441486095390469985
absolute error = 6.44763790719e-19
relative error = 2.1181135249661092380079965199809e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.902
y[1] (analytic) = 30.501407365842335786465761313421
y[1] (numeric) = 30.501407365842335785819451161957
absolute error = 6.46310151464e-19
relative error = 2.1189519018318626027532922448083e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.903
y[1] (analytic) = 30.562463027178362004111443484813
y[1] (numeric) = 30.56246302717836200346358387637
absolute error = 6.47859608443e-19
relative error = 2.1197886042982732752982435317041e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=122.0MB, alloc=4.4MB, time=5.78
x[1] = 0.904
y[1] (analytic) = 30.623640938407246891341373733132
y[1] (numeric) = 30.62364093840724689069196156528
absolute error = 6.49412167852e-19
relative error = 2.1206236357007662162086907481048e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.905
y[1] (analytic) = 30.684941344240716934254282231836
y[1] (numeric) = 30.684941344240716933603314395931
absolute error = 6.50967835905e-19
relative error = 2.1214569993863804915264635086335e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.906
y[1] (analytic) = 30.746364489880477200615683109984
y[1] (numeric) = 30.746364489880477199963156491164
absolute error = 6.52526618820e-19
relative error = 2.1222886986679855718566776347882e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.907
y[1] (analytic) = 30.807910621019192147005081164652
y[1] (numeric) = 30.807910621019192146350992641817
absolute error = 6.54088522835e-19
relative error = 2.1231187368764228794758884098551e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.908
y[1] (analytic) = 30.8695799838414683898013884419
y[1] (numeric) = 30.869579983841468389145734887703
absolute error = 6.55653554197e-19
relative error = 2.1239471173245592144006853718614e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.909
y[1] (analytic) = 30.931372825024839443937635938343
y[1] (numeric) = 30.931372825024839443280414219178
absolute error = 6.57221719165e-19
relative error = 2.1247738433170310409343679481573e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.91
y[1] (analytic) = 30.99328939174075243336393675515
y[1] (numeric) = 30.993289391740752432705143731137
absolute error = 6.58793024013e-19
relative error = 2.1255989181598726236672438037838e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.911
y[1] (analytic) = 31.055329931655556777165543871936
y[1] (numeric) = 31.055329931655556776505176396909
absolute error = 6.60367475027e-19
relative error = 2.1264223451507084689140024641030e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.912
y[1] (analytic) = 31.117494692931494855290748331025
y[1] (numeric) = 31.117494692931494854628803252522
absolute error = 6.61945078503e-19
relative error = 2.1272441275722764422868907795425e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.913
y[1] (analytic) = 31.179783924227694657851282064578
y[1] (numeric) = 31.179783924227694657187756223827
absolute error = 6.63525840751e-19
relative error = 2.1280642687052718375487230445324e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.914
y[1] (analytic) = 31.242197874701164421965823889712
y[1] (numeric) = 31.242197874701164421300714121615
absolute error = 6.65109768097e-19
relative error = 2.1288827718346363592285583592038e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.915
y[1] (analytic) = 31.30473679400778926012515737182
y[1] (numeric) = 31.304736794007789259458460504947
absolute error = 6.66696866873e-19
relative error = 2.1296996402174385652978409228003e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.916
y[1] (analytic) = 31.367400932303329784065495345583
y[1] (numeric) = 31.367400932303329783397208202153
absolute error = 6.68287143430e-19
relative error = 2.1305148771244631656552293415465e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.917
y[1] (analytic) = 31.430190540244422728144467918431
y[1] (numeric) = 31.430190540244422727474587314303
absolute error = 6.69880604128e-19
relative error = 2.1313284858081250078519810402390e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.918
y[1] (analytic) = 31.493105868989583576222268794612
y[1] (numeric) = 31.493105868989583575550791539271
absolute error = 6.71477255341e-19
relative error = 2.1321404695183958922817589438216e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.919
y[1] (analytic) = 31.556147170200211196058468781259
y[1] (numeric) = 31.556147170200211195385391677802
absolute error = 6.73077103457e-19
relative error = 2.1329508315026963845564718110047e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.92
y[1] (analytic) = 31.619314696041594485243035403235
y[1] (numeric) = 31.619314696041594484568355248361
absolute error = 6.74680154874e-19
relative error = 2.1337595749931381551674905541788e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.921
y[1] (analytic) = 31.682608699183921032688143693034
y[1] (numeric) = 31.682608699183921032011857277029
absolute error = 6.76286416005e-19
relative error = 2.1345667032223257231600360369484e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.922
y[1] (analytic) = 31.746029432803287799715425467846
y[1] (numeric) = 31.746029432803287799037529574573
absolute error = 6.77895893273e-19
relative error = 2.1353722194074692858206611532300e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.923
y[1] (analytic) = 31.809577150582713824781382790383
y[1] (numeric) = 31.809577150582713824101874197265
absolute error = 6.79508593118e-19
relative error = 2.1361761267724120199051991406774e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.924
y[1] (analytic) = 31.873252106713154955891785865363
y[1] (numeric) = 31.873252106713154955210661343373
absolute error = 6.81124521990e-19
relative error = 2.1369784285254698773555774495939e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.925
y[1] (analytic) = 31.93705455589452061476398638225
y[1] (numeric) = 31.937054555894520614081242695897
absolute error = 6.82743686353e-19
relative error = 2.1377791278719789411809250279244e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.926
y[1] (analytic) = 32.000984753336692596804204309166
y[1] (numeric) = 32.000984753336692596119838216483
absolute error = 6.84366092683e-19
relative error = 2.1385782280079434698933519965622e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.927
y[1] (analytic) = 32.06504295476054591097498940554
y[1] (numeric) = 32.065042954760545910288997658069
absolute error = 6.85991747471e-19
relative error = 2.1393757321293531467536201635738e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.928
y[1] (analytic) = 32.12922941639897166363621828444
y[1] (numeric) = 32.129229416398971662948597627222
absolute error = 6.87620657218e-19
relative error = 2.1401716434164893436347164434455e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.929
y[1] (analytic) = 32.193544394997901990451163752449
y[1] (numeric) = 32.193544394997901989761910924008
absolute error = 6.89252828441e-19
relative error = 2.1409659650525874247105687084221e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.93
y[1] (analytic) = 32.257988147817337040457365417906
y[1] (numeric) = 32.257988147817337039766477150238
absolute error = 6.90888267668e-19
relative error = 2.1417587002081757967048717896457e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.931
y[1] (analytic) = 32.322560932632374016410239220338
y[1] (numeric) = 32.322560932632374015717712238898
absolute error = 6.92526981440e-19
relative error = 2.1425498520472587888043682180936e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.932
y[1] (analytic) = 32.387263007734238275515588627552
y[1] (numeric) = 32.387263007734238274821419651238
absolute error = 6.94168976314e-19
relative error = 2.1433394237365134000830985043152e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=125.8MB, alloc=4.4MB, time=5.97
TOP MAIN SOLVE Loop
x[1] = 0.933
y[1] (analytic) = 32.45209463193131649467542180524
y[1] (numeric) = 32.452094631931316493979607546384
absolute error = 6.95814258856e-19
relative error = 2.1441274184235611342451193416725e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.934
y[1] (analytic) = 32.51705606455019190437973711993
y[1] (numeric) = 32.517056064550191903682274284282
absolute error = 6.97462835648e-19
relative error = 2.1449138392585540356882377211194e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.935
y[1] (analytic) = 32.582147565436681595385213922722
y[1] (numeric) = 32.582147565436681594686099209437
absolute error = 6.99114713285e-19
relative error = 2.1456986893848110552900406437799e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.936
y[1] (analytic) = 32.647369394956875902330036711648
y[1] (numeric) = 32.647369394956875901629266813275
absolute error = 7.00769898373e-19
relative error = 2.1464819719326291250243146304240e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.937
y[1] (analytic) = 32.71272181399817986844238851782
y[1] (numeric) = 32.712721813998179867739960120286
absolute error = 7.02428397534e-19
relative error = 2.1472636900345668162017875800277e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.938
y[1] (analytic) = 32.778205083970356795508473737925
y[1] (numeric) = 32.778205083970356794804383520525
absolute error = 7.04090217400e-19
relative error = 2.1480438468069862816228288446377e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.939
y[1] (analytic) = 32.84381946680657388327427167659
y[1] (numeric) = 32.843819466806573882568516311969
absolute error = 7.05755364621e-19
relative error = 2.1488224453744418817823074404688e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.94
y[1] (analytic) = 32.909565224964449962463579799793
y[1] (numeric) = 32.909565224964449961756155953938
absolute error = 7.07423845855e-19
relative error = 2.1495994888390816880661631113732e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.941
y[1] (analytic) = 32.975442621427105325603280168492
y[1] (numeric) = 32.975442621427105324894184500714
absolute error = 7.09095667778e-19
relative error = 2.1503749803110660539650408761524e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.942
y[1] (analytic) = 33.041451919704213659855153753291
y[1] (numeric) = 33.041451919704213659144382916214
absolute error = 7.10770837077e-19
relative error = 2.1511489228871719771268249001225e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.943
y[1] (analytic) = 33.107593383833056086061975359995
y[1] (numeric) = 33.107593383833056085349525999543
absolute error = 7.12449360452e-19
relative error = 2.1519213196568371315717434639718e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.944
y[1] (analytic) = 33.17386727837957730822404675581
y[1] (numeric) = 33.173867278379577307509915511194
absolute error = 7.14131244616e-19
relative error = 2.1526921737021030020433417992157e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.945
y[1] (analytic) = 33.240273868439443877630767310525
y[1] (numeric) = 33.240273868439443876914950814225
absolute error = 7.15816496300e-19
relative error = 2.1534614881126007253790558995857e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.946
y[1] (analytic) = 33.306813419639104575880300089966
y[1] (numeric) = 33.306813419639104575162794967725
absolute error = 7.17505122241e-19
relative error = 2.1542292659493167294593097844578e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.947
y[1] (analytic) = 33.373486198136852921028866894256
y[1] (numeric) = 33.373486198136852920309669765059
absolute error = 7.19197129197e-19
relative error = 2.1549955102896943859042256877372e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.948
y[1] (analytic) = 33.4402924706238918011196982547
y[1] (numeric) = 33.440292470623891800398805730767
absolute error = 7.20892523933e-19
relative error = 2.1557602241854746215666312844280e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.949
y[1] (analytic) = 33.507232504325400239350173924644
y[1] (numeric) = 33.507232504325400238627582611411
absolute error = 7.22591313233e-19
relative error = 2.1565234106986356788254556031007e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.95
y[1] (analytic) = 33.574306567001602295144215955193
y[1] (numeric) = 33.574306567001602294419922451303
absolute error = 7.24293503890e-19
relative error = 2.1572850728713769116934938193365e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.951
y[1] (analytic) = 33.641514926948838105405540070585
y[1] (numeric) = 33.641514926948838104679540967871
absolute error = 7.25999102714e-19
relative error = 2.1580452137499666791315290681702e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.952
y[1] (analytic) = 33.708857853000637070235931784262
y[1] (numeric) = 33.708857853000637069508223667735
absolute error = 7.27708116527e-19
relative error = 2.1588038363697396285772232001998e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.953
y[1] (analytic) = 33.776335614528793187411291559676
y[1] (numeric) = 33.77633561452879318668187100751
absolute error = 7.29420552166e-19
relative error = 2.1595609437639583872574590968443e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.954
y[1] (analytic) = 33.843948481444442539916788353774
y[1] (numeric) = 33.843948481444442539185651937293
absolute error = 7.31136416481e-19
relative error = 2.1603165389577955914511413497654e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.955
y[1] (analytic) = 33.911696724199142940851073120432
y[1] (numeric) = 33.911696724199142940118217404099
absolute error = 7.32855716333e-19
relative error = 2.1610706249623877722774283085249e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.956
y[1] (analytic) = 33.97958061378595574001813333023
y[1] (numeric) = 33.979580613785955739283554871629
absolute error = 7.34578458601e-19
relative error = 2.1618232047954470921558640302922e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.957
y[1] (analytic) = 34.047600421740529796534016316375
y[1] (numeric) = 34.047600421740529795797711666199
absolute error = 7.36304650176e-19
relative error = 2.1625742814634446131665079677974e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.958
y[1] (analytic) = 34.115756420142187621784313318974
y[1] (numeric) = 34.115756420142187621046279021012
absolute error = 7.38034297962e-19
relative error = 2.1633238579645247134604427045426e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.959
y[1] (analytic) = 34.184048881615013697076977505785
y[1] (numeric) = 34.184048881615013696337210096907
absolute error = 7.39767408878e-19
relative error = 2.1640719372943101811937784438697e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.96
y[1] (analytic) = 34.252478079328944970343748031806
y[1] (numeric) = 34.252478079328944969602244041949
absolute error = 7.41503989857e-19
relative error = 2.1648185224428793316018760286102e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.961
y[1] (analytic) = 34.32104428700086353625216839739
y[1] (numeric) = 34.321044287000863535508924349546
absolute error = 7.43244047844e-19
relative error = 2.1655636163888654451684654043376e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=129.7MB, alloc=4.4MB, time=6.15
TOP MAIN SOLVE Loop
x[1] = 0.962
y[1] (analytic) = 34.389747778895691504098921009875
y[1] (numeric) = 34.389747778895691503353933420074
absolute error = 7.44987589801e-19
relative error = 2.1663072221139817696596184762863e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.963
y[1] (analytic) = 34.458588829827488057863950981882
y[1] (numeric) = 34.45858882982748805711721635918
absolute error = 7.46734622702e-19
relative error = 2.1670493425883523591408361486093e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.964
y[1] (analytic) = 34.52756771516054871281362084553
y[1] (numeric) = 34.527567715160548712065135691997
absolute error = 7.48485153533e-19
relative error = 2.1677899807704993478987383819258e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.965
y[1] (analytic) = 34.596684710810506773049924060864
y[1] (numeric) = 34.596684710810506772299684871566
absolute error = 7.50239189298e-19
relative error = 2.1685291396246733736464449160220e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.966
y[1] (analytic) = 34.665940093245436994411588983948
y[1] (numeric) = 34.665940093245436993659592246935
absolute error = 7.51996737013e-19
relative error = 2.1692668221033604516563996280551e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.967
y[1] (analytic) = 34.735334139486961457141726370604
y[1] (numeric) = 34.735334139486961456387968566896
absolute error = 7.53757803708e-19
relative error = 2.1700030311530290980267157725025e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.968
y[1] (analytic) = 34.804867127111357652745512560878
y[1] (numeric) = 34.804867127111357651989990164452
absolute error = 7.55522396426e-19
relative error = 2.1707377697111893857809564669217e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.969
y[1] (analytic) = 34.874539334250668789470257252414
y[1] (numeric) = 34.874539334250668788712966730188
absolute error = 7.57290522226e-19
relative error = 2.1714710407149569026291259814388e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.97
y[1] (analytic) = 34.944351039593816320849079263418
y[1] (numeric) = 34.944351039593816320090017075235
absolute error = 7.59062188183e-19
relative error = 2.1722028471009291161326875317012e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.971
y[1] (analytic) = 35.014302522387714701758305943276
y[1] (numeric) = 35.014302522387714700997468541896
absolute error = 7.60837401380e-19
relative error = 2.1729331917822150430213111838323e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.972
y[1] (analytic) = 35.084394062438388376447621946789
y[1] (numeric) = 35.084394062438388375685005777869
absolute error = 7.62616168920e-19
relative error = 2.1736620776827452967974504046956e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.973
y[1] (analytic) = 35.154625940112091003010920981908
y[1] (numeric) = 35.15462594011209100224652248399
absolute error = 7.64398497918e-19
relative error = 2.1743895077142803613385249864047e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.974
y[1] (analytic) = 35.224998436336426918774759906698
y[1] (numeric) = 35.224998436336426918008575511195
absolute error = 7.66184395503e-19
relative error = 2.1751154847820823505650047451185e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.975
y[1] (analytic) = 35.295511832601474851090278224625
y[1] (numeric) = 35.295511832601474850322304355807
absolute error = 7.67973868818e-19
relative error = 2.1758400117848526728489074066931e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.976
y[1] (analytic) = 35.366166410960913878023427644126
y[1] (numeric) = 35.366166410960913877253660719105
absolute error = 7.69766925021e-19
relative error = 2.1765630916174979995201342762413e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.977
y[1] (analytic) = 35.436962454033151643447355964662
y[1] (numeric) = 35.436962454033151642675792393377
absolute error = 7.71563571285e-19
relative error = 2.1772847271710411659269426821359e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.978
y[1] (analytic) = 35.507900245002454831049807163079
y[1] (numeric) = 35.507900245002454830276443348283
absolute error = 7.73363814796e-19
relative error = 2.1780049213269004261249437313045e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.979
y[1] (analytic) = 35.578980067620081901777435217172
y[1] (numeric) = 35.578980067620081901002267554416
absolute error = 7.75167662756e-19
relative error = 2.1787236769652903630813863129081e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.98
y[1] (analytic) = 35.650202206205418099247982954026
y[1] (numeric) = 35.650202206205418098471007831647
absolute error = 7.76975122379e-19
relative error = 2.1794409969538870495174717751804e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.981
y[1] (analytic) = 35.721566945647112727670349085192
y[1] (numeric) = 35.721566945647112726891562884297
absolute error = 7.78786200895e-19
relative error = 2.1801568841590241928829408628288e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.982
y[1] (analytic) = 35.793074571404218706821656625337
y[1] (numeric) = 35.793074571404218706041055719787
absolute error = 7.80600905550e-19
relative error = 2.1808713414455800873987583786812e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.983
y[1] (analytic) = 35.864725369507334408639544122038
y[1] (numeric) = 35.864725369507334407857124878437
absolute error = 7.82419243601e-19
relative error = 2.1815843716629243369156194149681e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.984
y[1] (analytic) = 35.936519626559747779997027588352
y[1] (numeric) = 35.936519626559747779212786366031
absolute error = 7.84241222321e-19
relative error = 2.1822959776588595755967047368632e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.985
y[1] (analytic) = 36.008457629738582756236425763098
y[1] (numeric) = 36.008457629738582755450358914098
absolute error = 7.86066849000e-19
relative error = 2.1830061622822881084913253922554e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.986
y[1] (analytic) = 36.080539666795947970048004363092
y[1] (numeric) = 36.080539666795947969260108232154
absolute error = 7.87896130938e-19
relative error = 2.1837149283636736758671687954580e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.987
y[1] (analytic) = 36.15276602606008776028817637355
y[1] (numeric) = 36.152766026060087759498447298095
absolute error = 7.89729075455e-19
relative error = 2.1844222787427596469502500097862e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.988
y[1] (analytic) = 36.225136996436535485341295184108
y[1] (numeric) = 36.225136996436535484549729494228
absolute error = 7.91565689880e-19
relative error = 2.1851282162379848793544530190687e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.989
y[1] (analytic) = 36.297652867409269145638295555418
y[1] (numeric) = 36.297652867409269144844889573857
absolute error = 7.93405981561e-19
relative error = 2.1858327436741202250499852225526e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.99
y[1] (analytic) = 36.370313929041869319954674031678
y[1] (numeric) = 36.370313929041869319159424073819
memory used=133.5MB, alloc=4.4MB, time=6.34
absolute error = 7.95249957859e-19
relative error = 2.1865358638655827267474186759618e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.991
y[1] (analytic) = 36.443120471978679420119555534957
y[1] (numeric) = 36.443120471978679419322457908808
absolute error = 7.97097626149e-19
relative error = 2.1872375796191570752803722819756e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.992
y[1] (analytic) = 36.516072787445968268776866524585
y[1] (numeric) = 36.516072787445968267977917530762
absolute error = 7.98948993823e-19
relative error = 2.1879378937421617185510870909822e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.993
y[1] (analytic) = 36.58917116725309500484892731639
y[1] (numeric) = 36.589171167253095004048123248104
absolute error = 8.00804068286e-19
relative error = 2.1886368090313858121563953982118e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.994
y[1] (analytic) = 36.662415903793676321362086969381
y[1] (numeric) = 36.662415903793676320559424112422
absolute error = 8.02662856959e-19
relative error = 2.1893343282812514872827637682371e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.995
y[1] (analytic) = 36.73580729004675604030335359871
y[1] (numeric) = 36.735807290046756039498828231434
absolute error = 8.04525367276e-19
relative error = 2.1900304542755456851106080809184e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.996
y[1] (analytic) = 36.809345619577977029186321100892
y[1] (numeric) = 36.809345619577977028379929494204
absolute error = 8.06391606688e-19
relative error = 2.1907251897982677680873976244576e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.997
y[1] (analytic) = 36.883031186540755464014060117519
y[1] (numeric) = 36.883031186540755463205798534861
absolute error = 8.08261582658e-19
relative error = 2.1914185376199458893313398697401e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.998
y[1] (analytic) = 36.956864285677457443336026654746
y[1] (numeric) = 36.956864285677457442525891352079
absolute error = 8.10135302667e-19
relative error = 2.1921105005138814207383939080420e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.999
y[1] (analytic) = 37.030845212320577958105446154974
y[1] (numeric) = 37.030845212320577957293433380763
absolute error = 8.12012774211e-19
relative error = 2.1928010812478950205507973399771e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1
y[1] (analytic) = 37.104974262393922222053054022244
y[1] (numeric) = 37.104974262393922221239160017444
absolute error = 8.13894004800e-19
relative error = 2.1934902825815612051760137138344e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.001
y[1] (analytic) = 37.179251732413789367302515671403
y[1] (numeric) = 37.179251732413789366486736669446
absolute error = 8.15779001957e-19
relative error = 2.1941781072634760154899831509614e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.002
y[1] (analytic) = 37.253677919490158509962310140994
y[1] (numeric) = 37.253677919490158509144642367771
absolute error = 8.17667773223e-19
relative error = 2.1948645580446633392890085623842e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.003
y[1] (analytic) = 37.328253121327877190438341218812
y[1] (numeric) = 37.328253121327877189618780892658
absolute error = 8.19560326154e-19
relative error = 2.1955496376703893213329755029705e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.004
y[1] (analytic) = 37.40297763622785219322103891516
y[1] (numeric) = 37.402977636227852192399582246842
absolute error = 8.21456668318e-19
relative error = 2.1962333488720743680909413343237e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.005
y[1] (analytic) = 37.477851763088242750910232019987
y[1] (numeric) = 37.477851763088242750086875212685
absolute error = 8.23356807302e-19
relative error = 2.1969156943859844925234200424488e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.006
y[1] (analytic) = 37.552875801405656137250609434312
y[1] (numeric) = 37.552875801405656136425348683606
absolute error = 8.25260750706e-19
relative error = 2.1975966769370812006856169185140e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.007
y[1] (analytic) = 37.628050051276345653960144011926
y[1] (numeric) = 37.62805005127634565313297550578
absolute error = 8.27168506146e-19
relative error = 2.1982762992469826269738504487137e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.008
y[1] (analytic) = 37.703374813397411016143427822366
y[1] (numeric) = 37.703374813397411015314347741111
absolute error = 8.29080081255e-19
relative error = 2.1989545640365249717587135370280e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.009
y[1] (analytic) = 37.778850389068001141091462089025
y[1] (numeric) = 37.77885038906800114026046660535
absolute error = 8.30995483675e-19
relative error = 2.1996314740044702038851921640282e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.01
y[1] (analytic) = 37.854477080190519345279058605287
y[1] (numeric) = 37.854477080190519344446143884216
absolute error = 8.32914721071e-19
relative error = 2.2003070318645859615418639496471e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.011
y[1] (analytic) = 37.930255189271830954380642225192
y[1] (numeric) = 37.930255189271830953545804424073
absolute error = 8.34837801119e-19
relative error = 2.2009812403137350579260725190209e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.012
y[1] (analytic) = 38.006185019424473331134896102018
y[1] (numeric) = 38.006185019424473330298131370507
absolute error = 8.36764731511e-19
relative error = 2.2016541020450757846503583115440e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.013
y[1] (analytic) = 38.082266874367868325898362746719
y[1] (numeric) = 38.082266874367868325059667226765
absolute error = 8.38695519954e-19
relative error = 2.2023256197453492526874833893049e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.014
y[1] (analytic) = 38.158501058429537154737804737222
y[1] (numeric) = 38.15850105842953715389717456305
absolute error = 8.40630174172e-19
relative error = 2.2029957961000610396105521663433e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.015
y[1] (analytic) = 38.234887876546317709920839067869
y[1] (numeric) = 38.234887876546317709078270365964
absolute error = 8.42568701905e-19
relative error = 2.2036646337907544955771139693905e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.016
y[1] (analytic) = 38.311427634265584307674088724615
y[1] (numeric) = 38.31142763426558430682957761371
absolute error = 8.44511110905e-19
relative error = 2.2043321354844858709843818939130e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.017
y[1] (analytic) = 38.388120637746469878087844144935
y[1] (numeric) = 38.388120637746469877241386735992
absolute error = 8.46457408943e-19
relative error = 2.2049983038520801651960181787645e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.018
y[1] (analytic) = 38.464967193761090602055995810648
y[1] (numeric) = 38.464967193761090601207588206844
absolute error = 8.48407603804e-19
relative error = 2.2056631415549714157184048659092e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=137.3MB, alloc=4.4MB, time=6.52
x[1] = 1.019
y[1] (analytic) = 38.541967609695773000149787366258
y[1] (numeric) = 38.541967609695772999299425662971
absolute error = 8.50361703287e-19
relative error = 2.2063266512451730052657237804595e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.02
y[1] (analytic) = 38.619122193552283478333746393942
y[1] (numeric) = 38.619122193552283477481426678731
absolute error = 8.52319715211e-19
relative error = 2.2069888355807848573603051346720e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.021
y[1] (analytic) = 38.696431253949060335441977348283
y[1] (numeric) = 38.696431253949060334587695700876
absolute error = 8.54281647407e-19
relative error = 2.2076496972051358908249893544421e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.022
y[1] (analytic) = 38.773895100122448237342848198622
y[1] (numeric) = 38.773895100122448236486600690899
absolute error = 8.56247507723e-19
relative error = 2.2083092387597034693119069019979e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.023
y[1] (analytic) = 38.851514041927935162729969083724
y[1] (numeric) = 38.851514041927935161871751779704
absolute error = 8.58217304020e-19
relative error = 2.2089674628737133754955038674478e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.024
y[1] (analytic) = 38.929288389841391825487247791948
y[1] (numeric) = 38.929288389841391824627056747768
absolute error = 8.60191044180e-19
relative error = 2.2096243721846893099098619238338e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.025
y[1] (analytic) = 39.007218454960313578585713179688
y[1] (numeric) = 39.00721845496031357772354444359
absolute error = 8.62168736098e-19
relative error = 2.2102799693177383750549690587623e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.026
y[1] (analytic) = 39.085304549005064804479723771264
y[1] (numeric) = 39.08530454900506480361557338358
absolute error = 8.64150387684e-19
relative error = 2.2109342568906690611206199352274e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.027
y[1] (analytic) = 39.163546984320125796980124784284
y[1] (numeric) = 39.163546984320125796113988777421
absolute error = 8.66136006863e-19
relative error = 2.2115872375139414638113049460175e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.028
y[1] (analytic) = 39.241946073875342139591882735617
y[1] (numeric) = 39.241946073875342138723757134036
absolute error = 8.68125601581e-19
relative error = 2.2122389138059079268920413692322e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.029
y[1] (analytic) = 39.320502131267176585313712644332
y[1] (numeric) = 39.320502131267176584443593464539
absolute error = 8.70119179793e-19
relative error = 2.2128892883620934193776032245984e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.03
y[1] (analytic) = 39.399215470719963442907218699323
y[1] (numeric) = 39.399215470719963442035101949847
absolute error = 8.72116749476e-19
relative error = 2.2135383637882963484957881220045e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.031
y[1] (analytic) = 39.47808640708716547465309514066
y[1] (numeric) = 39.478086407087165473778976822041
absolute error = 8.74118318619e-19
relative error = 2.2141861426750334184176209448920e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.032
y[1] (analytic) = 39.557115255852633310621980055356
y[1] (numeric) = 39.557115255852633309745856160128
absolute error = 8.76123895228e-19
relative error = 2.2148326276102096900555982618467e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.033
y[1] (analytic) = 39.636302333131867384497620850184
y[1] (numeric) = 39.636302333131867383619487362859
absolute error = 8.78133487325e-19
relative error = 2.2154778211764996715015083046623e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.034
y[1] (analytic) = 39.715647955673282396000096376772
y[1] (numeric) = 39.715647955673282395119949273823
absolute error = 8.80147102949e-19
relative error = 2.2161217259537953887204044150343e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.035
y[1] (analytic) = 39.79515244085947430496694708783
y[1] (numeric) = 39.795152440859474304084782337675
absolute error = 8.82164750155e-19
relative error = 2.2167643445165993188923461190444e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.036
y[1] (analytic) = 39.874816106708489862160191238349
y[1] (numeric) = 39.874816106708489861276004801336
absolute error = 8.84186437013e-19
relative error = 2.2174056794314483742343252511141e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.037
y[1] (analytic) = 39.954639271875098681877352052544
y[1] (numeric) = 39.954639271875098680991139880934
absolute error = 8.86212171610e-19
relative error = 2.2180457332618772350442239192883e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.038
y[1] (analytic) = 40.03462225565206786145478799675
y[1] (numeric) = 40.034622255652067860566546034702
absolute error = 8.88241962048e-19
relative error = 2.2186845085633309452405682883202e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.039
y[1] (analytic) = 40.114765377971439152761805871083
y[1] (numeric) = 40.114765377971439151871530054635
absolute error = 8.90275816448e-19
relative error = 2.2193220078930953910174904217353e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.04
y[1] (analytic) = 40.195068959405808690794244399209
y[1] (numeric) = 40.195068959405808689901930656265
absolute error = 8.92313742944e-19
relative error = 2.2199582337952301870940958500834e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.041
y[1] (analytic) = 40.275533321169609284486444396876
y[1] (numeric) = 40.275533321169609283592088647187
absolute error = 8.94355749689e-19
relative error = 2.2205931888154764623063235616109e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.042
y[1] (analytic) = 40.356158785120395274870770476786
y[1] (numeric) = 40.356158785120395273974368631938
absolute error = 8.96401844848e-19
relative error = 2.2212268754837731957787911765975e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.043
y[1] (analytic) = 40.43694567376012996572411864107
y[1] (numeric) = 40.436945673760129964825666604462
absolute error = 8.98452036608e-19
relative error = 2.2218592963390234285272350905835e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.044
y[1] (analytic) = 40.517894310236475631851134063937
y[1] (numeric) = 40.517894310236475630950627730767
absolute error = 9.00506333170e-19
relative error = 2.2224904539091393657773900866793e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.045
y[1] (analytic) = 40.599005018344086110164173917404
y[1] (numeric) = 40.599005018344086109261609174654
absolute error = 9.02564742750e-19
relative error = 2.2231203507134938123053333743347e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.046
y[1] (analytic) = 40.680278122525901978730381283406
y[1] (numeric) = 40.680278122525901977825754009824
absolute error = 9.04627273582e-19
relative error = 2.2237489892702589032300000317452e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.047
y[1] (analytic) = 40.761713947874448328966588067486
y[1] (numeric) = 40.761713947874448328059894133568
absolute error = 9.06693933918e-19
relative error = 2.2243763720962971655100514468502e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=141.1MB, alloc=4.4MB, time=6.70
TOP MAIN SOLVE Loop
x[1] = 1.048
y[1] (analytic) = 40.843312820133135136173137424031
y[1] (numeric) = 40.84331282013313513526437269201
absolute error = 9.08764732021e-19
relative error = 2.2250025016899149266646569181213e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.049
y[1] (analytic) = 40.925075065697560233608109562198
y[1] (numeric) = 40.925075065697560232697269886023
absolute error = 9.10839676175e-19
relative error = 2.2256273805553615016807348419089e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.05
y[1] (analytic) = 41.007001011616814895313848966702
y[1] (numeric) = 41.007001011616814894400930192019
absolute error = 9.12918774683e-19
relative error = 2.2262510111977721582812213461155e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.051
y[1] (analytic) = 41.089090985594792032918126080361
y[1] (numeric) = 41.089090985594792032003124044503
absolute error = 9.15002035858e-19
relative error = 2.2268733961011348337493943854428e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.052
y[1] (analytic) = 41.17134531599149701164272239733
y[1] (numeric) = 41.171345315991497010725632929295
absolute error = 9.17089468035e-19
relative error = 2.2274945377575269019931690518424e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.053
y[1] (analytic) = 41.253764331824361090762704749079
y[1] (numeric) = 41.253764331824361089843523669517
absolute error = 9.19181079562e-19
relative error = 2.2281144386450979348087359751650e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.054
y[1] (analytic) = 41.336348362769557493770152371506
y[1] (numeric) = 41.336348362769557492848875492699
absolute error = 9.21276878807e-19
relative error = 2.2287331012450223974702649933531e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.055
y[1] (analytic) = 41.419097739163320113506619162821
y[1] (numeric) = 41.419097739163320112583242288669
absolute error = 9.23376874152e-19
relative error = 2.2293505280268631159888581983077e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.056
y[1] (analytic) = 41.50201279200326485753915342035
y[1] (numeric) = 41.502012792003264856613672346352
absolute error = 9.25481073998e-19
relative error = 2.2299667214606143933342503625368e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.057
y[1] (analytic) = 41.585093852949713639065258322113
y[1] (numeric) = 41.585093852949713638137668835351
absolute error = 9.27589486762e-19
relative error = 2.2305816840093634364523245737428e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.058
y[1] (analytic) = 41.66834125432702101864275853835
y[1] (numeric) = 41.668341254327021017713056417474
absolute error = 9.29702120876e-19
relative error = 2.2311954181268391750311334698020e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.059
y[1] (analytic) = 41.751755329124903502051141661316
y[1] (numeric) = 41.751755329124903501119322676523
absolute error = 9.31818984793e-19
relative error = 2.2318079262717562802017626632807e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.06
y[1] (analytic) = 41.835336410999771499601567671098
y[1] (numeric) = 41.83533641099977149866762758412
absolute error = 9.33940086978e-19
relative error = 2.2324192108861325850108784360452e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.061
y[1] (analytic) = 41.91908483427606395222338545346
y[1] (numeric) = 41.919084834276063951287320017543
absolute error = 9.36065435917e-19
relative error = 2.2330292744168056308066770207221e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.062
y[1] (analytic) = 42.003000933947585629665662495255
y[1] (numeric) = 42.003000933947585628727467455144
absolute error = 9.38195040111e-19
relative error = 2.2336381193009801992348743810552e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.063
y[1] (analytic) = 42.087085045678847106162922346612
y[1] (numeric) = 42.087085045678847105222593438534
absolute error = 9.40328908078e-19
relative error = 2.2342457479709566504983667287284e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.064
y[1] (analytic) = 42.171337505806407418924994299472
y[1] (numeric) = 42.171337505806407417982527251118
absolute error = 9.42467048354e-19
relative error = 2.2348521628564315234580797069189e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.065
y[1] (analytic) = 42.255758651340219414821611032075
y[1] (numeric) = 42.255758651340219413877001562584
absolute error = 9.44609469491e-19
relative error = 2.2354573663796708720687464871341e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.066
y[1] (analytic) = 42.340348819964977790643142751606
y[1] (numeric) = 42.340348819964977789696386571547
absolute error = 9.46756180059e-19
relative error = 2.2360613609601885138441409483722e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.067
y[1] (analytic) = 42.4251083500414698323296306753
y[1] (numeric) = 42.425108350041469831380723486655
absolute error = 9.48907188645e-19
relative error = 2.2366641490122970048410675175899e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.068
y[1] (analytic) = 42.510037580607928858571078567143
y[1] (numeric) = 42.51003758060792885762001606329
absolute error = 9.51062503853e-19
relative error = 2.2372657329450401675380154826270e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.069
y[1] (analytic) = 42.595136851381390374192778535918
y[1] (numeric) = 42.595136851381390373239556401615
absolute error = 9.53222134303e-19
relative error = 2.2378661151597786987691317554785e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.07
y[1] (analytic) = 42.68040650275905093875028644411
y[1] (numeric) = 42.680406502759050937794900355474
absolute error = 9.55386088636e-19
relative error = 2.2384652980618626539562709669560e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.071
y[1] (analytic) = 42.765846875819629755769523119386
y[1] (numeric) = 42.765846875819629754811968743879
absolute error = 9.57554375507e-19
relative error = 2.2390632840441043436567377548226e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.072
y[1] (analytic) = 42.851458312324732988078360144521
y[1] (numeric) = 42.851458312324732987118633140933
absolute error = 9.59727003588e-19
relative error = 2.2396600754937851808296492748684e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.073
y[1] (analytic) = 42.937241154720220804686953371196
y[1] (numeric) = 42.937241154720220803725049389625
absolute error = 9.61903981571e-19
relative error = 2.2402556747995789327976657345816e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.074
y[1] (analytic) = 43.023195746137577164685013501719
y[1] (numeric) = 43.023195746137577163720928183557
absolute error = 9.64085318162e-19
relative error = 2.2408500843374730138744416524712e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.075
y[1] (analytic) = 43.109322430395282343635151154156
y[1] (numeric) = 43.109322430395282342668880132068
absolute error = 9.66271022088e-19
relative error = 2.2414433064870139977443967148153e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.076
y[1] (analytic) = 43.195621552000188207952403814257
y[1] (numeric) = 43.195621552000188206983942712166
absolute error = 9.68461102091e-19
relative error = 2.2420353436172631562442289825160e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=144.9MB, alloc=4.4MB, time=6.88
TOP MAIN SOLVE Loop
x[1] = 1.077
y[1] (analytic) = 43.28209345614889624277104402601
y[1] (numeric) = 43.282093456148896241800388459079
absolute error = 9.70655566931e-19
relative error = 2.2426261980937136070205877092425e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.078
y[1] (analytic) = 43.368738488729138338810782125416
y[1] (numeric) = 43.368738488729138337837927700028
absolute error = 9.72854425388e-19
relative error = 2.2432158722828190119637340590511e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.079
y[1] (analytic) = 43.455556996321160343765512823334
y[1] (numeric) = 43.455556996321160342790455137079
absolute error = 9.75057686255e-19
relative error = 2.2438043685357570377432171677330e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.08
y[1] (analytic) = 43.542549326199108383748813037146
y[1] (numeric) = 43.542549326199108382771547678801
absolute error = 9.77265358345e-19
relative error = 2.2443916892045394980799892870962e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.081
y[1] (analytic) = 43.629715826332417960341478601635
y[1] (numeric) = 43.629715826332417959362001151144
absolute error = 9.79477450491e-19
relative error = 2.2449778366418858335502301735368e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.082
y[1] (analytic) = 43.717056845387205828797489901361
y[1] (numeric) = 43.717056845387205827815795929822
absolute error = 9.81693971539e-19
relative error = 2.2455628131850856528034840522478e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.083
y[1] (analytic) = 43.804572732727664662975921104247
y[1] (numeric) = 43.80457273272766466199200617389
absolute error = 9.83914930357e-19
relative error = 2.2461466211765801929225638506740e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.084
y[1] (analytic) = 43.892263838417460512577454583546
y[1] (numeric) = 43.892263838417460511591314247718
absolute error = 9.86140335828e-19
relative error = 2.2467292629478447465780729592251e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.085
y[1] (analytic) = 43.980130513221133058275331337538
y[1] (numeric) = 43.980130513221133057286961140686
absolute error = 9.88370196852e-19
relative error = 2.2473107408239274249601316642826e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.086
y[1] (analytic) = 44.068173108605498670341759797762
y[1] (numeric) = 44.068173108605498669351155275411
absolute error = 9.90604522351e-19
relative error = 2.2478910571347414557730746863766e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.087
y[1] (analytic) = 44.156391976741056276382019402156
y[1] (numeric) = 44.156391976741056275389176080894
absolute error = 9.92843321262e-19
relative error = 2.2484702141990460220637337832011e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.088
y[1] (analytic) = 44.244787470503396043799731744022
y[1] (numeric) = 44.244787470503396042804645141483
absolute error = 9.95086602539e-19
relative error = 2.2490482143289598680174641248265e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.089
y[1] (analytic) = 44.333359943474610882628031036134
y[1] (numeric) = 44.333359943474610881630696660979
absolute error = 9.97334375155e-19
relative error = 2.2496250598344211193406466837561e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.09
y[1] (analytic) = 44.422109749944710774372647096684
y[1] (numeric) = 44.422109749944710773373060448582
absolute error = 9.99586648102e-19
relative error = 2.2502007530230914315622015928185e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.091
y[1] (analytic) = 44.511037244913039932524218115157
y[1] (numeric) = 44.511037244913039931522374684768
absolute error = 1.001843430389e-18
relative error = 2.2507752961957678048180925271584e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.092
y[1] (analytic) = 44.60014278408969680040847713695
y[1] (numeric) = 44.600142784089696799404372405907
absolute error = 1.004104731043e-18
relative error = 2.2513486916485756250119567234711e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.093
y[1] (analytic) = 44.689426723896956892054305560798
y[1] (numeric) = 44.689426723896956891047935001688
absolute error = 1.006370559110e-18
relative error = 2.2519209416751354819343643379150e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.094
y[1] (analytic) = 44.778889421470698481771019018346
y[1] (numeric) = 44.778889421470698480762378094694
absolute error = 1.008640923652e-18
relative error = 2.2524920485597711673658978409370e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.095
y[1] (analytic) = 44.868531234661831148137645845938
y[1] (numeric) = 44.868531234661831147126730012188
absolute error = 1.010915833750e-18
relative error = 2.2530620145841712974148040849742e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.096
y[1] (analytic) = 44.958352522037727178118376010455
y[1] (numeric) = 44.95835252203772717710518071195
absolute error = 1.013195298505e-18
relative error = 2.2536308420295227309132421257311e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.097
y[1] (analytic) = 45.048353642883655837029798859532
y[1] (numeric) = 45.048353642883655836014319532497
absolute error = 1.015479327035e-18
relative error = 2.2541985331697388806504910002655e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.098
y[1] (analytic) = 45.138534957204220510097011477474
y[1] (numeric) = 45.138534957204220509079243549
absolute error = 1.017767928474e-18
relative error = 2.2547650902691996894602777107444e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.099
y[1] (analytic) = 45.228896825724798721347165787501
y[1] (numeric) = 45.228896825724798720327104675521
absolute error = 1.020061111980e-18
relative error = 2.2553305156004175727776569134054e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.1
y[1] (analytic) = 45.319439609892985035600531894505
y[1] (numeric) = 45.319439609892985034578173007783
absolute error = 1.022358886722e-18
relative error = 2.2558948114151540918167266263490e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.101
y[1] (analytic) = 45.410163671880036849330687556484
y[1] (numeric) = 45.41016367188003684830602629459
absolute error = 1.024661261894e-18
relative error = 2.2564579799753400855487397531363e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.102
y[1] (analytic) = 45.501069374582323076176999153094
y[1] (numeric) = 45.501069374582323075150030906391
absolute error = 1.026968246703e-18
relative error = 2.2570200235264845394731661526428e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.103
y[1] (analytic) = 45.592157081622775732904138132853
y[1] (numeric) = 45.592157081622775731874858282474
absolute error = 1.029279850379e-18
relative error = 2.2575809443196551740887986805716e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.104
y[1] (analytic) = 45.68342715735234443161497871249
y[1] (numeric) = 45.683427157352344430583382630322
absolute error = 1.031596082168e-18
relative error = 2.2581407445959835671099999420174e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.105
y[1] (analytic) = 45.774879966851453784034847619364
y[1] (numeric) = 45.77487996685145378300093066803
absolute error = 1.033916951334e-18
relative error = 2.2586994265910167832297170166573e-18 %
Correct digits = 19
h = 0.001
memory used=148.7MB, alloc=4.4MB, time=7.07
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.106
y[1] (analytic) = 45.86651587593146372369674495716
y[1] (numeric) = 45.866515875931463722660502489999
absolute error = 1.036242467161e-18
relative error = 2.2592569925390170933479847186886e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.107
y[1] (analytic) = 45.958335251136132751868826882832
y[1] (numeric) = 45.958335251136132750830254243881
absolute error = 1.038572638951e-18
relative error = 2.2598134446685066107219059165200e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.108
y[1] (analytic) = 46.050338459743084113077135755725
y[1] (numeric) = 46.0503384597430841120362282797
absolute error = 1.040907476025e-18
relative error = 2.2603687852043796824511665147909e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.109
y[1] (analytic) = 46.1425258697652749060882818047
y[1] (numeric) = 46.142525869765274905045034816977
absolute error = 1.043246987723e-18
relative error = 2.2609230163678227649513826316441e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.11
y[1] (analytic) = 46.234897849952468136228522202793
y[1] (numeric) = 46.234897849952468135182931019392
absolute error = 1.045591183401e-18
relative error = 2.2614761403697465328308604058644e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.111
y[1] (analytic) = 46.32745476979270771492744878848
y[1] (numeric) = 46.327454769792707713879508716043
absolute error = 1.047940072437e-18
relative error = 2.2620281594237235275177928972308e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.112
y[1] (analytic) = 46.420196999513796412386284574942
y[1] (numeric) = 46.420196999513796411335990910715
absolute error = 1.050293664227e-18
relative error = 2.2625790757372286477776723980121e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.113
y[1] (analytic) = 46.513124910084776769282601691136
y[1] (numeric) = 46.51312491008477676822994972295
absolute error = 1.052651968186e-18
relative error = 2.2631288915137338005206786713240e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.114
y[1] (analytic) = 46.606238873217414973435109548086
y[1] (numeric) = 46.606238873217414972380094554341
absolute error = 1.055014993745e-18
relative error = 2.2636776089461949274420548398058e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.115
y[1] (analytic) = 46.699539261367687707364021868058
y[1] (numeric) = 46.699539261367687706306639117701
absolute error = 1.057382750357e-18
relative error = 2.2642252302298891457181179121855e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.116
y[1] (analytic) = 46.793026447737271972694394800537
y[1] (numeric) = 46.793026447737271971634639553043
absolute error = 1.059755247494e-18
relative error = 2.2647717575558646630618146310567e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.117
y[1] (analytic) = 46.886700806275037897361735724798
y[1] (numeric) = 46.886700806275037896299603230153
absolute error = 1.062132494645e-18
relative error = 2.2653171931066015368628999811938e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.118
y[1] (analytic) = 46.980562711678544531591113551922
y[1] (numeric) = 46.980562711678544530526599050603
absolute error = 1.064514501319e-18
relative error = 2.2658615390623670651275653788864e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.119
y[1] (analytic) = 47.074612539395538638632956437088
y[1] (numeric) = 47.074612539395538637566055160042
absolute error = 1.066901277046e-18
relative error = 2.2664047976032465955027923691764e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.12
y[1] (analytic) = 47.168850665625456486250701843706
y[1] (numeric) = 47.168850665625456485181409012336
absolute error = 1.069292831370e-18
relative error = 2.2669469708941894421515866759037e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.121
y[1] (analytic) = 47.263277467320928644967466912416
y[1] (numeric) = 47.263277467320928643895777738558
absolute error = 1.071689173858e-18
relative error = 2.2674880611040866589394867166644e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.122
y[1] (analytic) = 47.357893322189287799090934127992
y[1] (numeric) = 47.357893322189287798016843813894
absolute error = 1.074090314098e-18
relative error = 2.2680280704013933071099387206716e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.123
y[1] (analytic) = 47.452698608694079576547698394128
y[1] (numeric) = 47.452698608694079575471202132437
absolute error = 1.076496261691e-18
relative error = 2.2685670009371584605542789354710e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.124
y[1] (analytic) = 47.547693706056576403570396867946
y[1] (numeric) = 47.547693706056576402491489841683
absolute error = 1.078907026263e-18
relative error = 2.2691048548703213564860114707314e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.125
y[1] (analytic) = 47.64287899425729439029304232119
y[1] (numeric) = 47.642878994257294389211719703735
absolute error = 1.081322617455e-18
relative error = 2.2696416343465281295361322459273e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.126
y[1] (analytic) = 47.738254854037513253322104431982
y[1] (numeric) = 47.73825485403751325223836138705
absolute error = 1.083743044932e-18
relative error = 2.2701773415170020379627170841963e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.127
y[1] (analytic) = 47.833821666900799281363031318003
y[1] (numeric) = 47.833821666900799280276862999628
absolute error = 1.086168318375e-18
relative error = 2.2707119785216482410248502568221e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.128
y[1] (analytic) = 47.929579815114531349994075847831
y[1] (numeric) = 47.929579815114531348905477400347
absolute error = 1.088598447484e-18
relative error = 2.2712455474953107760992235216903e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.129
y[1] (analytic) = 48.025529681711429991691487860412
y[1] (numeric) = 48.025529681711429990600454418432
absolute error = 1.091033441980e-18
relative error = 2.2717780505718726496674606901036e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.13
y[1] (analytic) = 48.121671650491089527222354432198
y[1] (numeric) = 48.121671650491089526128881120594
absolute error = 1.093473311604e-18
relative error = 2.2723094898820725527915226448263e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.131
y[1] (analytic) = 48.218006106021513264533615806148
y[1] (numeric) = 48.218006106021513263437697740035
absolute error = 1.095918066113e-18
relative error = 2.2728398675451257323851929042277e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.132
y[1] (analytic) = 48.314533433640651771278054585612
y[1] (numeric) = 48.314533433640651770179686870322
absolute error = 1.098367715290e-18
relative error = 2.2733691856894219509665842879149e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.133
y[1] (analytic) = 48.411254019457944227130350348042
y[1] (numeric) = 48.411254019457944226029528079112
absolute error = 1.100822268930e-18
relative error = 2.2738974464234004413370360177248e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=152.5MB, alloc=4.4MB, time=7.25
x[1] = 1.134
y[1] (analytic) = 48.508168250355862862058610997938
y[1] (numeric) = 48.508168250355862860955329261085
absolute error = 1.103281736853e-18
relative error = 2.2744246518624338434764865474712e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.135
y[1] (analytic) = 48.605276513991460486729136004355
y[1] (numeric) = 48.60527651399146048562338987546
absolute error = 1.105746128895e-18
relative error = 2.2749508041101281609835192873307e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.136
y[1] (analytic) = 48.702579198797921121234535205441
y[1] (numeric) = 48.702579198797921120126319750525
absolute error = 1.108215454916e-18
relative error = 2.2754759052747518867516261792991e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.137
y[1] (analytic) = 48.80007669398611372834772015995
y[1] (numeric) = 48.800076693986113727237030435158
absolute error = 1.110689724792e-18
relative error = 2.2759999574526817270024056265132e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.138
y[1] (analytic) = 48.897769389546149057516703133369
y[1] (numeric) = 48.89776938954614905640353418495
absolute error = 1.113168948419e-18
relative error = 2.2765229627365871564601214500007e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.139
y[1] (analytic) = 48.995657676248939605827581773632
y[1] (numeric) = 48.995657676248939604711928637916
absolute error = 1.115653135716e-18
relative error = 2.2770449232214762471017299851405e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.14
y[1] (analytic) = 49.093741945647762702175555408308
y[1] (numeric) = 49.093741945647762701057413111689
absolute error = 1.118142296619e-18
relative error = 2.2775658409923366414202970703030e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.141
y[1] (analytic) = 49.192022590079826720896311731448
y[1] (numeric) = 49.192022590079826719775675290363
absolute error = 1.120636441085e-18
relative error = 2.2780857181322527093757537401878e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.142
y[1] (analytic) = 49.290500002667840431122640493915
y[1] (numeric) = 49.290500002667840429999504914825
absolute error = 1.123135579090e-18
relative error = 2.2786045567182529419877413079074e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.143
y[1] (analytic) = 49.389174577321585488143673716126
y[1] (numeric) = 49.389174577321585487018033995496
absolute error = 1.125639720630e-18
relative error = 2.2791223588232811158709690143885e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.144
y[1] (analytic) = 49.488046708739492073056719956816
y[1] (numeric) = 49.488046708739492071928571081093
absolute error = 1.128148875723e-18
relative error = 2.2796391265201645536829619257456e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.145
y[1] (analytic) = 49.587116792410217687014253346012
y[1] (numeric) = 49.587116792410217685883590291607
absolute error = 1.130663054405e-18
relative error = 2.2801548618734348160672945956668e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.146
y[1] (analytic) = 49.686385224614229106381236475243
y[1] (numeric) = 49.686385224614229105248054208511
absolute error = 1.133182266732e-18
relative error = 2.2806695669433218652280986837755e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.147
y[1] (analytic) = 49.785852402425387505130599883543
y[1] (numeric) = 49.785852402425387503994893360761
absolute error = 1.135706522782e-18
relative error = 2.2811832437897005186878987583288e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.148
y[1] (analytic) = 49.88551872371253675081736983466
y[1] (numeric) = 49.885518723712536749679134002008
absolute error = 1.138235832652e-18
relative error = 2.2816958944659665781582152115649e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.149
y[1] (analytic) = 49.985384587141094880484630399716
y[1] (numeric) = 49.985384587141094879343860193259
absolute error = 1.140770206457e-18
relative error = 2.2822075210169872330201460047286e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.15
y[1] (analytic) = 50.08545039217464876286722559114
y[1] (numeric) = 50.085450392174648761723915936803
absolute error = 1.143309654337e-18
relative error = 2.2827181254930487978072058466410e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.151
y[1] (analytic) = 50.185716539076551953271852488875
y[1] (numeric) = 50.185716539076551952125998302427
absolute error = 1.145854186448e-18
relative error = 2.2832277099317558567028095941487e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.152
y[1] (analytic) = 50.28618342891152574752496700974
y[1] (numeric) = 50.28618342891152574637656319677
absolute error = 1.148403812970e-18
relative error = 2.2837362763739532446810758909611e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.153
y[1] (analytic) = 50.386851463547263441392720246275
y[1] (numeric) = 50.386851463547263440241761702174
absolute error = 1.150958544101e-18
relative error = 2.2842438268516725728705029697905e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.154
y[1] (analytic) = 50.487721045656037801889965193855
y[1] (numeric) = 50.487721045656037800736446803795
absolute error = 1.153518390060e-18
relative error = 2.2847503633940488429057724960448e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.155
y[1] (analytic) = 50.588792578716311756908221245375
y[1] (numeric) = 50.588792578716311755752137884288
absolute error = 1.156083361087e-18
relative error = 2.2852558880272361723940719021148e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.156
y[1] (analytic) = 50.690066467014352309605357112955
y[1] (numeric) = 50.690066467014352308446703645517
absolute error = 1.158653467438e-18
relative error = 2.2857604027644605151631248242795e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.157
y[1] (analytic) = 50.79154311564584768401265188731
y[1] (numeric) = 50.79154311564584768285142316791
absolute error = 1.161228719400e-18
relative error = 2.2862639096355681129992413205863e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.158
y[1] (analytic) = 50.89322293051752770832781881916
y[1] (numeric) = 50.89322293051752770716400969189
absolute error = 1.163809127270e-18
relative error = 2.2867664106454838547993213302996e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.159
y[1] (analytic) = 50.99510631834878744237552715536
y[1] (numeric) = 50.995106318348787441209132453993
absolute error = 1.166394701367e-18
relative error = 2.2872679077978783885003832993261e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.16
y[1] (analytic) = 51.097193686673314055729934036635
y[1] (numeric) = 51.097193686673314054560948584597
absolute error = 1.168985452038e-18
relative error = 2.2877684031068103652320284666191e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.161
y[1] (analytic) = 51.1994854438407169630067411162
y[1] (numeric) = 51.19948544384071696183515972656
absolute error = 1.171581389640e-18
relative error = 2.2882678985613534061738340235333e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.162
y[1] (analytic) = 51.301981999018161222845319241075
y[1] (numeric) = 51.30198199901816122167113671651
absolute error = 1.174182524565e-18
relative error = 2.2887663961744635830953404670841e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=156.4MB, alloc=4.4MB, time=7.44
x[1] = 1.163
y[1] (analytic) = 51.40468376219200420711449930236
y[1] (numeric) = 51.404683762192004205937710435145
absolute error = 1.176788867215e-18
relative error = 2.2892638979339948750330245297161e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.164
y[1] (analytic) = 51.50759114416943554688870825995
y[1] (numeric) = 51.507591144169435545709307831941
absolute error = 1.179400428009e-18
relative error = 2.2897604058164268399939519244360e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.165
y[1] (analytic) = 51.6107045565801203617542364328
y[1] (numeric) = 51.610704556580120360572219215399
absolute error = 1.182017217401e-18
relative error = 2.2902559218217423147964472948711e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.166
y[1] (analytic) = 51.714024411877845779018555470735
y[1] (numeric) = 51.714024411877845777833916224878
absolute error = 1.184639245857e-18
relative error = 2.2907504479286052133526539334719e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.167
y[1] (analytic) = 51.817551123342170749408766040505
y[1] (numeric) = 51.817551123342170748221499516642
absolute error = 1.187266523863e-18
relative error = 2.2912439861098991929718339396097e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.168
y[1] (analytic) = 51.9212851050800791658584402196
y[1] (numeric) = 51.921285105080079164668541157671
absolute error = 1.189899061929e-18
relative error = 2.2917365383403770365834128423946e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.169
y[1] (analytic) = 52.02522677202763629199533594934
y[1] (numeric) = 52.025226772027636290802799078758
absolute error = 1.192536870582e-18
relative error = 2.2922281065830747766976125482025e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.17
y[1] (analytic) = 52.1293765399516485069556997067
y[1] (numeric) = 52.129376539951648505760519746325
absolute error = 1.195179960375e-18
relative error = 2.2927186928065811157297177732123e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.171
y[1] (analytic) = 52.233734825451326373164138865045
y[1] (numeric) = 52.23373482545132637196631052316
absolute error = 1.197828341885e-18
relative error = 2.2932082989810410252529933379276e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.172
y[1] (analytic) = 52.338302045959951033731337080695
y[1] (numeric) = 52.338302045959951032530855054996
absolute error = 1.200482025699e-18
relative error = 2.2936969270512788425291899172178e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.173
y[1] (analytic) = 52.44307861974654394613520451808
y[1] (numeric) = 52.443078619746543944932063495644
absolute error = 1.203141022436e-18
relative error = 2.2941845789788889966243834606139e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.174
y[1] (analytic) = 52.548064965917539958864399864335
y[1] (numeric) = 52.548064965917539957658594521601
absolute error = 1.205805342734e-18
relative error = 2.2946712567172176827939712384127e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.175
y[1] (analytic) = 52.653261504418463737716532938235
y[1] (numeric) = 52.653261504418463736508057940995
absolute error = 1.208474997240e-18
relative error = 2.2951569621923407762724348367112e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.176
y[1] (analytic) = 52.75866865603560954845675532154
y[1] (numeric) = 52.758668656035609547245605324898
absolute error = 1.211149996642e-18
relative error = 2.2956416973638777189188057088656e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.177
y[1] (analytic) = 52.864286842397724402555871886735
y[1] (numeric) = 52.864286842397724401342041535096
absolute error = 1.213830351639e-18
relative error = 2.2961254641677962706672341948368e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.178
y[1] (analytic) = 52.970116485977694572740558417895
y[1] (numeric) = 52.970116485977694571524042344944
absolute error = 1.216516072951e-18
relative error = 2.2966082645354148415377533641599e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.179
y[1] (analytic) = 53.076158010094235485101749774195
y[1] (numeric) = 53.076158010094235483882542602875
absolute error = 1.219207171320e-18
relative error = 2.2970901003952213646683811510493e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.18
y[1] (analytic) = 53.18241183891358499452076928281
y[1] (numeric) = 53.182411838913584993298865625296
absolute error = 1.221903657514e-18
relative error = 2.2975709736803112910864144976923e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.181
y[1] (analytic) = 53.288878397451200050186303323405
y[1] (numeric) = 53.288878397451200048961697781096
absolute error = 1.224605542309e-18
relative error = 2.2980508862944518641558914867153e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.182
y[1] (analytic) = 53.395558111573456757988885434405
y[1] (numeric) = 53.39555811157345675676157259788
absolute error = 1.227312836525e-18
relative error = 2.2985298401796846147719788759271e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.183
y[1] (analytic) = 53.50245140799935384659314178561
y[1] (numeric) = 53.502451407999353845363116234624
absolute error = 1.230025550986e-18
relative error = 2.2990078372410693468489907787182e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.184
y[1] (analytic) = 53.60955871430221954400166457755
y[1] (numeric) = 53.609558714302219542768920881008
absolute error = 1.232743696542e-18
relative error = 2.2994848793879786668880178840359e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.185
y[1] (analytic) = 53.71688045891142187143802189884
y[1] (numeric) = 53.716880458911421870202554614773
absolute error = 1.235467284067e-18
relative error = 2.2999609685302206993962921996944e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.186
y[1] (analytic) = 53.82441707111408236139008185397
y[1] (numeric) = 53.824417071114082360151885529518
absolute error = 1.238196324452e-18
relative error = 2.3004361065649182461303180054894e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.187
y[1] (analytic) = 53.932168981056793206668525419815
y[1] (numeric) = 53.932168981056793205427594591198
absolute error = 1.240930828617e-18
relative error = 2.3009102953987743296332916222819e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.188
y[1] (analytic) = 54.040136619747337847349146554415
y[1] (numeric) = 54.040136619747337846105475746912
absolute error = 1.243670807503e-18
relative error = 2.3013835369330617454408045918293e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.189
y[1] (analytic) = 54.14832041905641500248128962135
y[1] (numeric) = 54.148320419056415001234873349289
absolute error = 1.246416272061e-18
relative error = 2.3018558330432513280623477797618e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.19
y[1] (analytic) = 54.25672081171936615345855326221
y[1] (numeric) = 54.256720811719366152209386028933
absolute error = 1.249167233277e-18
relative error = 2.3023271856252356612491060353073e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.191
y[1] (analytic) = 54.365338231337906485961696503215
y[1] (numeric) = 54.365338231337906484709772801056
absolute error = 1.251923702159e-18
relative error = 2.3027975965711024356794572984205e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=160.2MB, alloc=4.4MB, time=7.62
TOP MAIN SOLVE Loop
x[1] = 1.192
y[1] (analytic) = 54.474173112381859297397517175575
y[1] (numeric) = 54.47417311238185929614283148585
absolute error = 1.254685689725e-18
relative error = 2.3032670677470324233857326697994e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.193
y[1] (analytic) = 54.583225890190893876771334717675
y[1] (numeric) = 54.583225890190893875513881510643
absolute error = 1.257453207032e-18
relative error = 2.3037356010465769666157794400905e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.194
y[1] (analytic) = 54.6924970009762668639445991661
y[1] (numeric) = 54.692497000976266862684372900958
absolute error = 1.260226265142e-18
relative error = 2.3042031983281085661471463295183e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.195
y[1] (analytic) = 54.80198688182256709524306568787
y[1] (numeric) = 54.801986881822567093980060812716
absolute error = 1.263004875154e-18
relative error = 2.3046698614734529228273135618405e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.196
y[1] (analytic) = 54.911695970689463942394919412915
y[1] (numeric) = 54.911695970689463941129130364739
absolute error = 1.265789048176e-18
relative error = 2.3051355923365535804403018146831e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.197
y[1] (analytic) = 55.02162470641345915179220865053
y[1] (numeric) = 55.021624706413459150523629855183
absolute error = 1.268578795347e-18
relative error = 2.3056003927836236006408978010368e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.198
y[1] (analytic) = 55.131773528709642191082945871235
y[1] (numeric) = 55.131773528709642189811571743405
absolute error = 1.271374127830e-18
relative error = 2.3060642646802160298976814202340e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.199
y[1] (analytic) = 55.242142878173449110115265162945
y[1] (numeric) = 55.242142878173449108841090106143
absolute error = 1.274175056802e-18
relative error = 2.3065272098730176798626193154558e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.2
y[1] (analytic) = 55.352733196282424923269082283245
y[1] (numeric) = 55.352733196282424921992100689779
absolute error = 1.276981593466e-18
relative error = 2.3069892302116059856014718333498e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.201
y[1] (analytic) = 55.46354492539798952022478898423
y[1] (numeric) = 55.463544925397989518944995235176
absolute error = 1.279793749054e-18
relative error = 2.3074503275537189971849669539817e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.202
y[1] (analytic) = 55.574578508767207112232627039205
y[1] (numeric) = 55.574578508767207110950015504401
absolute error = 1.282611534804e-18
relative error = 2.3079105037236777354480050206364e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.203
y[1] (analytic) = 55.68583439052455922096052940811
y[1] (numeric) = 55.685834390524559219675094446112
absolute error = 1.285434961998e-18
relative error = 2.3083697605808492826051531471638e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.204
y[1] (analytic) = 55.797313015693721217012386296865
y[1] (numeric) = 55.797313015693721215724122254939
absolute error = 1.288264041926e-18
relative error = 2.3088280999546679866341777506331e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.205
y[1] (analytic) = 55.90901483018934241522289255256
y[1] (numeric) = 55.909014830189342413931793766656
absolute error = 1.291098785904e-18
relative error = 2.3092855236770186941515766117728e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.206
y[1] (analytic) = 56.020940280818829733849359947255
y[1] (numeric) = 56.020940280818829732555420741986
absolute error = 1.293939205269e-18
relative error = 2.3097420335731771931156275106918e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.207
y[1] (analytic) = 56.13308981528413492479513349589
y[1] (numeric) = 56.133089815284134923498348184506
absolute error = 1.296785311384e-18
relative error = 2.3101976314706736078807491639107e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.208
y[1] (analytic) = 56.245463882183545382013535084925
y[1] (numeric) = 56.245463882183545380713897969288
absolute error = 1.299637115637e-18
relative error = 2.3106523191973821053847745682763e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.209
y[1] (analytic) = 56.358062931013478535255570415225
y[1] (numeric) = 56.358062931013478533953075785794
absolute error = 1.302494629431e-18
relative error = 2.3111060985636637383343700759979e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.21
y[1] (analytic) = 56.47088741217027983633897664258
y[1] (numeric) = 56.470887412170279835033618778384
absolute error = 1.305357864196e-18
relative error = 2.3115589713836811507244123769983e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.211
y[1] (analytic) = 56.58393777695202434513055818932
y[1] (numeric) = 56.583937776952024343822331357936
absolute error = 1.308226831384e-18
relative error = 2.3120109394664146518027197397163e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.212
y[1] (analytic) = 56.69721447756032192244815705852
y[1] (numeric) = 56.697214477560321921137055516042
absolute error = 1.311101542478e-18
relative error = 2.3124620046314780235014996319223e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.213
y[1] (analytic) = 56.81071796710212603710303166555
y[1] (numeric) = 56.810717967102126035789049656581
absolute error = 1.313982008969e-18
relative error = 2.3129121686684173400537604189189e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.214
y[1] (analytic) = 56.924448699591546194317874768315
y[1] (numeric) = 56.924448699591546193001006525932
absolute error = 1.316868242383e-18
relative error = 2.3133614333843324736737254836159e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.215
y[1] (analytic) = 57.038407129951663992770186584725
y[1] (numeric) = 57.038407129951663991450426330464
absolute error = 1.319760254261e-18
relative error = 2.3138098005685286100879355593506e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.216
y[1] (analytic) = 57.15259371401635281752523369238
y[1] (numeric) = 57.152593714016352816202575636209
absolute error = 1.322658056171e-18
relative error = 2.3142572720135806113893688125514e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.217
y[1] (analytic) = 57.267008908532101176137367868525
y[1] (numeric) = 57.267008908532101174811806208814
absolute error = 1.325561659711e-18
relative error = 2.3147038495204297733646264902195e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.218
y[1] (analytic) = 57.38165317115983968521305170665
y[1] (numeric) = 57.381653171159839683884580630157
absolute error = 1.328471076493e-18
relative error = 2.3151495348703073570275612127265e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.219
y[1] (analytic) = 57.49652696047677171474353969787
y[1] (numeric) = 57.496526960476771713412153379716
absolute error = 1.331386318154e-18
relative error = 2.3155943298439532411143373998376e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.22
y[1] (analytic) = 57.61163073597820769752979454862
y[1] (numeric) = 57.611630735978207696195487152269
absolute error = 1.334307396351e-18
relative error = 2.3160382362128328942113094362276e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=164.0MB, alloc=4.4MB, time=7.80
TOP MAIN SOLVE Loop
x[1] = 1.221
y[1] (analytic) = 57.726964958079403111036878880115
y[1] (numeric) = 57.726964958079403109699644557347
absolute error = 1.337234322768e-18
relative error = 2.3164812557512468726389323217061e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.222
y[1] (analytic) = 57.842530088117400139029752177755
y[1] (numeric) = 57.842530088117400137689585068634
absolute error = 1.340167109121e-18
relative error = 2.3169233902448377436173391767267e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.223
y[1] (analytic) = 57.958326588352873020357121989205
y[1] (numeric) = 57.958326588352873019014016222071
absolute error = 1.343105767134e-18
relative error = 2.3173646414489586080818732648956e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.224
y[1] (analytic) = 58.07435492197197709226474696708
y[1] (numeric) = 58.074354921971977090918696658515
absolute error = 1.346050308565e-18
relative error = 2.3178050111336362238443962137244e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.225
y[1] (analytic) = 58.190615553088201535634367474755
y[1] (numeric) = 58.190615553088201534285366729567
absolute error = 1.349000745188e-18
relative error = 2.3182445010523830723057904234646e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.226
y[1] (analytic) = 58.30710894674422582955924718143
y[1] (numeric) = 58.307108946744225828207290092617
absolute error = 1.351957088813e-18
relative error = 2.3186831129765542695230171127140e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.227
y[1] (analytic) = 58.4238355689137799226821464238
y[1] (numeric) = 58.423835568913779921327227072546
absolute error = 1.354919351254e-18
relative error = 2.3191208486402885381035844993314e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.228
y[1] (analytic) = 58.540795886503508128736415166575
y[1] (numeric) = 58.540795886503508127378527622206
absolute error = 1.357887544369e-18
relative error = 2.3195577098090989872477166248398e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.229
y[1] (analytic) = 58.65799036735483675374579021127
y[1] (numeric) = 58.657990367354836752384928531241
absolute error = 1.360861680029e-18
relative error = 2.3199936982266029524408746057270e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.23
y[1] (analytic) = 58.775419480245845462353407942745
y[1] (numeric) = 58.775419480245845460989566172617
absolute error = 1.363841770128e-18
relative error = 2.3204288156316452903853076399642e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.231
y[1] (analytic) = 58.893083694893142390765500424645
y[1] (numeric) = 58.893083694893142389398672598057
absolute error = 1.366827826588e-18
relative error = 2.3208630637667274535530630687643e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.232
y[1] (analytic) = 59.010983481953743013810229118675
y[1] (numeric) = 59.010983481953743012440409257322
absolute error = 1.369819861353e-18
relative error = 2.3212964443676949084603544875097e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.233
y[1] (analytic) = 59.129119313026952773627126968225
y[1] (numeric) = 59.129119313026952772254309081831
absolute error = 1.372817886394e-18
relative error = 2.3217289591721510131760397238206e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.234
y[1] (analytic) = 59.24749166065625347751766611425
y[1] (numeric) = 59.247491660656253476141844200553
absolute error = 1.375821913697e-18
relative error = 2.3221606098990769329119508294825e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.235
y[1] (analytic) = 59.36610099833119347250254516093
y[1] (numeric) = 59.36610099833119347112371320565
absolute error = 1.378831955280e-18
relative error = 2.3225913982775448851888556365222e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.236
y[1] (analytic) = 59.484947800489281604146396740425
y[1] (numeric) = 59.484947800489281602764548717239
absolute error = 1.381848023186e-18
relative error = 2.3230213260347416560922229117718e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.237
y[1] (analytic) = 59.604032542517884967225753200875
y[1] (numeric) = 59.604032542517884965840883071397
absolute error = 1.384870129478e-18
relative error = 2.3234503948874902613865670547595e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.238
y[1] (analytic) = 59.72335570075613045583127561984
y[1] (numeric) = 59.723355700756130454443377333597
absolute error = 1.387898286243e-18
relative error = 2.3238786065489425372314368877712e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.239
y[1] (analytic) = 59.84291775249681012051044908749
y[1] (numeric) = 59.842917752496810119119516581891
absolute error = 1.390932505599e-18
relative error = 2.3243059627402049484638885859818e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.24
y[1] (analytic) = 59.96271917598829034007217537078
y[1] (numeric) = 59.962719175988290338678202571105
absolute error = 1.393972799675e-18
relative error = 2.3247324651567969751170538462579e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.241
y[1] (analytic) = 60.08276045043642481568995272261
y[1] (numeric) = 60.082760450436424814292933541974
absolute error = 1.397019180636e-18
relative error = 2.3251581155104074998935634390279e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.242
y[1] (analytic) = 60.203042056006471394955621799265
y[1] (numeric) = 60.203042056006471393555550138593
absolute error = 1.400071660672e-18
relative error = 2.3255829155103542270483914972593e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.243
y[1] (analytic) = 60.323564473825012733550976456925
y[1] (numeric) = 60.323564473825012732147846204941
absolute error = 1.403130251984e-18
relative error = 2.3260068668402909135321007789917e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.244
y[1] (analytic) = 60.44432818598188080221988867461
y[1] (numeric) = 60.444328185981880800813693707796
absolute error = 1.406194966814e-18
relative error = 2.3264299712079879256840135943316e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.245
y[1] (analytic) = 60.56533367553208524673897805797
y[1] (numeric) = 60.565333675532085245329712240557
absolute error = 1.409265817413e-18
relative error = 2.3268522302921484937549939251533e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.246
y[1] (analytic) = 60.686581426497745608600268377865
y[1] (numeric) = 60.686581426497745607187925561791
absolute error = 1.412342816074e-18
relative error = 2.3272736457969684707280651381170e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.247
y[1] (analytic) = 60.80807192387002741413471645053
y[1] (numeric) = 60.808071923870027412719290475435
absolute error = 1.415425975095e-18
relative error = 2.3276942193909271964831968094998e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.248
y[1] (analytic) = 60.929805653611082139820972435025
y[1] (numeric) = 60.929805653611082138402457128209
absolute error = 1.418515306816e-18
relative error = 2.3281139527677615247028500797838e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=167.8MB, alloc=4.4MB, time=7.98
x[1] = 1.249
y[1] (analytic) = 61.051783102655991061539235369505
y[1] (numeric) = 61.051783102655991060117624545913
absolute error = 1.421610823592e-18
relative error = 2.3285328476018817142503557706849e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.25
y[1] (analytic) = 61.17400475891471299554560355363
y[1] (numeric) = 61.174004758914712994120891015826
absolute error = 1.424712537804e-18
relative error = 2.3289509055664378601297828990366e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.251
y[1] (analytic) = 61.29647111127403593895788627145
y[1] (numeric) = 61.296471111274035937530065809589
absolute error = 1.427820461861e-18
relative error = 2.3293681283364878733789190322171e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.252
y[1] (analytic) = 61.41918264959953261755944140022
y[1] (numeric) = 61.419182649599532616128506792024
absolute error = 1.430934608196e-18
relative error = 2.3297845175823583303156631410298e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.253
y[1] (analytic) = 61.542139864737519948743232727875
y[1] (numeric) = 61.542139864737519947309177738615
absolute error = 1.434054989260e-18
relative error = 2.3302000749598346946448671451368e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.254
y[1] (analytic) = 61.665343248517022427433961368055
y[1] (numeric) = 61.665343248517022425996779750518
absolute error = 1.437181617537e-18
relative error = 2.3306148021345239083195395121250e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.255
y[1] (analytic) = 61.788793293751739442841817579
y[1] (numeric) = 61.78879329375173944140150307346
absolute error = 1.440314505540e-18
relative error = 2.3310287007751755962623276018272e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.256
y[1] (analytic) = 61.91249049424201653391712262442
y[1] (numeric) = 61.912490494242016532473668958631
absolute error = 1.443453665789e-18
relative error = 2.3314417725180091596911878985738e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.257
y[1] (analytic) = 62.03643534477682059139088512332
y[1] (numeric) = 62.036435344776820589944286012474
absolute error = 1.446599110846e-18
relative error = 2.3318540190233495080410864773329e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.258
y[1] (analytic) = 62.1606283411357190143020826845
y[1] (numeric) = 62.160628341135719012852331831202
absolute error = 1.449750853298e-18
relative error = 2.3322654419479312777998872500485e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.259
y[1] (analytic) = 62.28506998009086282892829757379
y[1] (numeric) = 62.285069980090862827475388668048
absolute error = 1.452908905742e-18
relative error = 2.3326760429207443664136821489354e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.26
y[1] (analytic) = 62.409760759408973778052184780765
y[1] (numeric) = 62.409760759408973776596111499942
absolute error = 1.456073280823e-18
relative error = 2.3330858236040915549217806853076e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.261
y[1] (analytic) = 62.53470117785333538851213220013
y[1] (numeric) = 62.534701177853335387052888208948
absolute error = 1.459243991182e-18
relative error = 2.3334947856099954690366435407074e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.262
y[1] (analytic) = 62.65989173518578802500138578537
y[1] (numeric) = 62.659891735185788023538964735852
absolute error = 1.462421049518e-18
relative error = 2.3339029305995399001462855803561e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.263
y[1] (analytic) = 62.78533293216872793809585753101
y[1] (numeric) = 62.78533293216872793663025306248
absolute error = 1.465604468530e-18
relative error = 2.3343102601898955339750296543026e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.264
y[1] (analytic) = 62.91102527056711031450681106032
y[1] (numeric) = 62.91102527056711031303801679937
absolute error = 1.468794260950e-18
relative error = 2.3347167760071057261101013100790e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.265
y[1] (analytic) = 63.036969253150456337570628499825
y[1] (numeric) = 63.036969253150456336098638060279
absolute error = 1.471990439546e-18
relative error = 2.3351224796906507142212416600317e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.266
y[1] (analytic) = 63.163165383694864266003903275765
y[1] (numeric) = 63.163165383694864264528710258671
absolute error = 1.475193017094e-18
relative error = 2.3355273728488770580957022539332e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.267
y[1] (analytic) = 63.289614166985024538968176534405
y[1] (numeric) = 63.289614166985024537489774527994
absolute error = 1.478402006411e-18
relative error = 2.3359314571113426021671544237296e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.268
y[1] (analytic) = 63.41631610881623891550474013183
y[1] (numeric) = 63.416316108816238914023122711503
absolute error = 1.481617420327e-18
relative error = 2.3363347340843457603132543379310e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.269
y[1] (analytic) = 63.543271715996443656416066624735
y[1] (numeric) = 63.543271715996443654931227353028
absolute error = 1.484839271707e-18
relative error = 2.3367372053856728776871736949058e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.27
y[1] (analytic) = 63.670481496348236756686596485415
y[1] (numeric) = 63.670481496348236755198528911976
absolute error = 1.488067573439e-18
relative error = 2.3371388726255302126083786200132e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.271
y[1] (analytic) = 63.79794595871090923655181492713
y[1] (numeric) = 63.797945958710909235060512588697
absolute error = 1.491302338433e-18
relative error = 2.3375397374049454567217513470605e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.272
y[1] (analytic) = 63.92566561294248049934078532455
y[1] (numeric) = 63.925665612942480497846241744916
absolute error = 1.494543579634e-18
relative error = 2.3379398013360890170000044266817e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.273
y[1] (analytic) = 64.05364096992173776423357331316
y[1] (numeric) = 64.053640969921737762735782003162
absolute error = 1.497791309998e-18
relative error = 2.3383390660045878675877790156764e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.274
y[1] (analytic) = 64.181872541550279582091295316675
y[1] (numeric) = 64.181872541550279580590249774149
absolute error = 1.501045542526e-18
relative error = 2.3387375330226584092537666265646e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.275
y[1] (analytic) = 64.310360840754563442532857547205
y[1] (numeric) = 64.310360840754563441028551256979
absolute error = 1.504306290226e-18
relative error = 2.3391352039696466129786819827898e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.276
y[1] (analytic) = 64.43910638148795748044881651542
y[1] (numeric) = 64.439106381487957478941242949273
absolute error = 1.507573566147e-18
relative error = 2.3395320804450124613933521364161e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.277
y[1] (analytic) = 64.56810967873279629015918984164
y[1] (numeric) = 64.56810967873279628864834245828
absolute error = 1.510847383360e-18
relative error = 2.3399281640385970433791814541888e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=171.6MB, alloc=4.4MB, time=8.17
x[1] = 1.278
y[1] (analytic) = 64.697371248502440855438476740245
y[1] (numeric) = 64.697371248502440853924348985292
absolute error = 1.514127754953e-18
relative error = 2.3403234563228837955799968503449e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.279
y[1] (analytic) = 64.826891607843342603647611024075
y[1] (numeric) = 64.826891607843342602130196330023
absolute error = 1.517414694052e-18
relative error = 2.3407179588854596124110722820823e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.28
y[1] (analytic) = 64.956671274837111592229065908635
y[1] (numeric) = 64.956671274837111590708357694833
absolute error = 1.520708213802e-18
relative error = 2.3411116732995080643143332640412e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.281
y[1] (analytic) = 65.086710768602588835837859354175
y[1] (numeric) = 65.086710768602588834313851026798
absolute error = 1.524008327377e-18
relative error = 2.3415046011392110892281452704676e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.282
y[1] (analytic) = 65.21701060929792278239777123274
y[1] (numeric) = 65.217010609297922780870456184759
absolute error = 1.527315047981e-18
relative error = 2.3418967439811665472154338676006e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.283
y[1] (analytic) = 65.347571318122649946388679313685
y[1] (numeric) = 65.347571318122649944858050924844
absolute error = 1.530628388841e-18
relative error = 2.3422881033935462055742553435696e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.284
y[1] (analytic) = 65.478393417319779707687549991195
y[1] (numeric) = 65.478393417319779706153601627989
absolute error = 1.533948363206e-18
relative error = 2.3426786809345465907585570579330e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.285
y[1] (analytic) = 65.60947743017788328430228189751
y[1] (numeric) = 65.609477430177883282765006913152
absolute error = 1.537274984358e-18
relative error = 2.3430684781691486684313029185759e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.286
y[1] (analytic) = 65.740823881033186887354296122505
y[1] (numeric) = 65.740823881033186885813687856895
absolute error = 1.540608265610e-18
relative error = 2.3434574966659023020958931374002e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.287
y[1] (analytic) = 65.87243329527166906668249576085
y[1] (numeric) = 65.872433295271669065138547540567
absolute error = 1.543948220283e-18
relative error = 2.3438457379618687671240087228385e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.288
y[1] (analytic) = 66.004306199331162255457979999125
y[1] (numeric) = 66.004306199331162253910685137381
absolute error = 1.547294861744e-18
relative error = 2.3442332036204012344968786760330e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.289
y[1] (analytic) = 66.13644312070345852221569400369
y[1] (numeric) = 66.136443120703458520665045800313
absolute error = 1.550648203377e-18
relative error = 2.3446198951869284795213868756623e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.29
y[1] (analytic) = 66.268844587936419538726025543685
y[1] (numeric) = 66.268844587936419537172017285084
absolute error = 1.554008258601e-18
relative error = 2.3450058142161900061549028045242e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.291
y[1] (analytic) = 66.40151113063609077214622264875
y[1] (numeric) = 66.401511130636090770588847607902
absolute error = 1.557375040848e-18
relative error = 2.3453909622389058791265596041272e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.292
y[1] (analytic) = 66.534443279468819909908403726155
y[1] (numeric) = 66.534443279468819908347655162564
absolute error = 1.560748563591e-18
relative error = 2.3457753408039943121150725385849e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.293
y[1] (analytic) = 66.66764156616337952581786251384
y[1] (numeric) = 66.66764156616337952425373367352
absolute error = 1.564128840320e-18
relative error = 2.3461589514422854581983252795577e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.294
y[1] (analytic) = 66.801106523513093995852335092905
y[1] (numeric) = 66.801106523513093994284819208342
absolute error = 1.567515884563e-18
relative error = 2.3465417956980329688484430156470e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.295
y[1] (analytic) = 66.934838685377970672169894992415
y[1] (numeric) = 66.934838685377970670598985282556
absolute error = 1.570909709859e-18
relative error = 2.3469238750883370655187123435737e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.296
y[1] (analytic) = 67.06883858668683532385017525977
y[1] (numeric) = 67.06883858668683532227586492998
absolute error = 1.574310329790e-18
relative error = 2.3473051911510222655767726652996e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.297
y[1] (analytic) = 67.20310676343947185291068330867
y[1] (numeric) = 67.203106763439471851332965550714
absolute error = 1.577717757956e-18
relative error = 2.3476857454071249988025487687145e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.298
y[1] (analytic) = 67.33764375270876629415707546298
y[1] (numeric) = 67.337643752708766292575943454993
absolute error = 1.581132007987e-18
relative error = 2.3480655393787763654925781004995e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.299
y[1] (analytic) = 67.472450092642855107443393456215
y[1] (numeric) = 67.472450092642855105858840362674
absolute error = 1.584553093541e-18
relative error = 2.3484445745861220327519803574656e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.3
y[1] (analytic) = 67.60752632246727777093543479198
y[1] (numeric) = 67.607526322467277769347453763684
absolute error = 1.587981028296e-18
relative error = 2.3488228525354039545352535695104e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.301
y[1] (analytic) = 67.74287298248713368398763288902
y[1] (numeric) = 67.742872982487133682396217063045
absolute error = 1.591415825975e-18
relative error = 2.3492003747558984118170807848728e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.302
y[1] (analytic) = 67.87849061408924338826106139417
y[1] (numeric) = 67.878490614089243386666203893862
absolute error = 1.594857500308e-18
relative error = 2.3495771427435988945869464164326e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.303
y[1] (analytic) = 68.014379759744314115727450016985
y[1] (numeric) = 68.014379759744314114129143951916
absolute error = 1.598306065069e-18
relative error = 2.3499531580158432345484694346749e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.304
y[1] (analytic) = 68.15054096300910967222140678938
y[1] (numeric) = 68.150540963009109670619645255336
absolute error = 1.601761534044e-18
relative error = 2.3503284220640411481815215940097e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.305
y[1] (analytic) = 68.28697476852862466522038385246
y[1] (numeric) = 68.2869747685286246636151599314
absolute error = 1.605223921060e-18
relative error = 2.3507029363962958044510766729185e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.306
y[1] (analytic) = 68.423681722038263084549300789285
y[1] (numeric) = 68.423681722038263082940607549316
absolute error = 1.608693239969e-18
relative error = 2.3510767025137490240904027032440e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=175.4MB, alloc=4.4MB, time=8.35
TOP MAIN SOLVE Loop
x[1] = 1.307
y[1] (analytic) = 68.56066237036602124472415122688
y[1] (numeric) = 68.560662370366021243111981722237
absolute error = 1.612169504643e-18
relative error = 2.3514497219032529519869443482129e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.308
y[1] (analytic) = 68.697917261434675097666364992525
y[1] (numeric) = 68.697917261434675096050712263539
absolute error = 1.615652728986e-18
relative error = 2.3518219960548757333333465558565e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.309
y[1] (analytic) = 68.83544694426397192453717959815
y[1] (numeric) = 68.835446944263971922918036671213
absolute error = 1.619142926937e-18
relative error = 2.3521935264661232523126891916669e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.31
y[1] (analytic) = 68.973251968972826415458791312585
y[1] (numeric) = 68.973251968972826413836151200132
absolute error = 1.622640112453e-18
relative error = 2.3525643146171130420010119733935e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.311
y[1] (analytic) = 69.11133288678152114590660763441
y[1] (numeric) = 69.111332886781521144280463334883
absolute error = 1.626144299527e-18
relative error = 2.3529343619966880006321357992581e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.312
y[1] (analytic) = 69.249690250013911458574509668335
y[1] (numeric) = 69.249690250013911456944854166165
absolute error = 1.629655502170e-18
relative error = 2.3533036700762320321494938806647e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.313
y[1] (analytic) = 69.38832461209963475953265480605
y[1] (numeric) = 69.388324612099634757899481071622
absolute error = 1.633173734428e-18
relative error = 2.3536722403342395378761564546984e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.314
y[1] (analytic) = 69.52723652757632423751500728845
y[1] (numeric) = 69.527236527576324235878308278073
absolute error = 1.636699010377e-18
relative error = 2.3540400742489488654479613041205e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.315
y[1] (analytic) = 69.66642655209182701519147675098
y[1] (numeric) = 69.666426552091827013551245406867
absolute error = 1.640231344113e-18
relative error = 2.3544071732838863036267527077555e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.316
y[1] (analytic) = 69.80589524240642674129727279824
y[1] (numeric) = 69.805895242406426739653502048472
absolute error = 1.643770749768e-18
relative error = 2.3547735389108292451184351628541e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.317
y[1] (analytic) = 69.945643156395070632509847088655
y[1] (numeric) = 69.945643156395070630862529847154
absolute error = 1.647317241501e-18
relative error = 2.3551391725967526347901337039341e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.318
y[1] (analytic) = 70.08567085304960097398159340642
y[1] (numeric) = 70.085670853049600972330722572918
absolute error = 1.650870833502e-18
relative error = 2.3555040758094798556985460773374e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.319
y[1] (analytic) = 70.225978892480991087454310826815
y[1] (numeric) = 70.22597889248099108579987928684
absolute error = 1.654431539975e-18
relative error = 2.3558682499933624188823305639374e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.32
y[1] (analytic) = 70.366567835921585775899305414105
y[1] (numeric) = 70.366567835921585774241306038934
absolute error = 1.657999375171e-18
relative error = 2.3562316966163073396640011581302e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.321
y[1] (analytic) = 70.50743824572734625364491199958
y[1] (numeric) = 70.507438245727346251983337646223
absolute error = 1.661574353357e-18
relative error = 2.3565944171254713252182386587998e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.322
y[1] (analytic) = 70.64859068538009957097115954317
y[1] (numeric) = 70.648590685380099569306003054335
absolute error = 1.665156488835e-18
relative error = 2.3569564129742572214288291530945e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.323
y[1] (analytic) = 70.79002571948979254216928145646
y[1] (numeric) = 70.79002571948979254050053566053
absolute error = 1.668745795930e-18
relative error = 2.3573176856051963172485201384591e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.324
y[1] (analytic) = 70.931743913796750186081786130435
y[1] (numeric) = 70.931743913796750184409443841427
absolute error = 1.672342289008e-18
relative error = 2.3576782364753293814363419590546e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.325
y[1] (analytic) = 71.073745835173938688156852839415
y[1] (numeric) = 71.073745835173938686480906856971
absolute error = 1.675945982444e-18
relative error = 2.3580380670109343471048277700749e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.326
y[1] (analytic) = 71.21603205162923289306890425617
y[1] (numeric) = 71.21603205162923289138934736551
absolute error = 1.679556890660e-18
relative error = 2.3583971786610880371508209304587e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.327
y[1] (analytic) = 71.35860313230768833697532908369
y[1] (numeric) = 71.358603132307688335292154055588
absolute error = 1.683175028102e-18
relative error = 2.3587555728651036344175651372492e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.328
y[1] (analytic) = 71.501459647493817828497486859965
y[1] (numeric) = 71.501459647493817826810686450733
absolute error = 1.686800409232e-18
relative error = 2.3591132510413354557345057991508e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.329
y[1] (analytic) = 71.64460216861387258753232189525
y[1] (numeric) = 71.644602168613872585841888846689
absolute error = 1.690433048561e-18
relative error = 2.3594702146333451591473088057283e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.33
y[1] (analytic) = 71.788031268238127951019144629685
y[1] (numeric) = 71.788031268238127949325071669071
absolute error = 1.694072960614e-18
relative error = 2.3598264650607921914284292761617e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.331
y[1] (analytic) = 71.93174752008317365480440652614
y[1] (numeric) = 71.931747520083173653106686366183
absolute error = 1.697720159957e-18
relative error = 2.3601820037571039819601470753572e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.332
y[1] (analytic) = 72.07575149901420870076559901097
y[1] (numeric) = 72.075751499014208699064224349798
absolute error = 1.701374661172e-18
relative error = 2.3605368321345493937810773233182e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.333
y[1] (analytic) = 72.220043781047340818373748018205
y[1] (numeric) = 72.220043781047340816668711539323
absolute error = 1.705036478882e-18
relative error = 2.3608909516189626233793487593390e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.334
y[1] (analytic) = 72.36462494335189052989235345301
y[1] (numeric) = 72.36462494335189052818364782528
absolute error = 1.708705627730e-18
relative error = 2.3612443636204848597784883383774e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.335
y[1] (analytic) = 72.509495564252699828429037442335
y[1] (numeric) = 72.509495564252699826716655319941
absolute error = 1.712382122394e-18
relative error = 2.3615970695543042686627110309116e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=179.2MB, alloc=4.4MB, time=8.53
TOP MAIN SOLVE Loop
x[1] = 1.336
y[1] (analytic) = 72.654656223232445478074616657535
y[1] (numeric) = 72.654656223232445476358550679956
absolute error = 1.716065977579e-18
relative error = 2.3619490708294914069108875627649e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.337
y[1] (analytic) = 72.800107500933956945382802349685
y[1] (numeric) = 72.800107500933956943663045141658
absolute error = 1.719757208027e-18
relative error = 2.3623003688626931376910443691417e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.338
y[1] (analytic) = 72.945849979162538971462257106915
y[1] (numeric) = 72.945849979162538969738801278418
absolute error = 1.723455828497e-18
relative error = 2.3626509650505360813298855851363e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.339
y[1] (analytic) = 73.091884240888298793971299798835
y[1] (numeric) = 73.091884240888298792244137945054
absolute error = 1.727161853781e-18
relative error = 2.3630008607916132329441459023457e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.34
y[1] (analytic) = 73.23821087024847802832414978977
y[1] (numeric) = 73.23821087024847802659327449106
absolute error = 1.730875298710e-18
relative error = 2.3633500574945538594841699361677e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.341
y[1] (analytic) = 73.38483045254978921743623835495
y[1] (numeric) = 73.384830452549789215701642176816
absolute error = 1.734596178134e-18
relative error = 2.3636985565505666015644213373553e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.342
y[1] (analytic) = 73.531743574270757059354789396365
y[1] (numeric) = 73.531743574270757057616464889428
absolute error = 1.738324506937e-18
relative error = 2.3640463593539093380449172780915e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.343
y[1] (analytic) = 73.678950823064064322139583102175
y[1] (numeric) = 73.678950823064064320397522802146
absolute error = 1.742060300029e-18
relative error = 2.3643934672908979179920148640250e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.344
y[1] (analytic) = 73.82645278775890245537756520068
y[1] (numeric) = 73.826452787758902453631761628319
absolute error = 1.745803572361e-18
relative error = 2.3647398817602003432607767823376e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.345
y[1] (analytic) = 73.974250058363326907733751001355
y[1] (numeric) = 73.974250058363326905984196662454
absolute error = 1.749554338901e-18
relative error = 2.3650856041401668245476293039684e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.346
y[1] (analytic) = 74.122343226066617159959697567085
y[1] (numeric) = 74.122343226066617158206384952435
absolute error = 1.753312614650e-18
relative error = 2.3654306358105152994932200685650e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.347
y[1] (analytic) = 74.27073288324164148279967919813
y[1] (numeric) = 74.270732883241641481042600783489
absolute error = 1.757078414641e-18
relative error = 2.3657749781508687018069538042830e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.348
y[1] (analytic) = 74.41941962344722642925360100557
y[1] (numeric) = 74.419419623447226427492749251626
absolute error = 1.760851753944e-18
relative error = 2.3661186325473718242245720726373e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.349
y[1] (analytic) = 74.568404041430531070674622785165
y[1] (numeric) = 74.568404041430531068909990137515
absolute error = 1.764632647650e-18
relative error = 2.3664616003710665329281841081466e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.35
y[1] (analytic) = 74.71768673312942598619844074783
y[1] (numeric) = 74.717686733129425984430019636952
absolute error = 1.768421110878e-18
relative error = 2.3668038829873080898625425688803e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.351
y[1] (analytic) = 74.867268295674877015020187995815
y[1] (numeric) = 74.86726829567487701324797083703
absolute error = 1.772217158785e-18
relative error = 2.3671454817690763178545215135289e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.352
y[1] (analytic) = 75.0171493273933337810539660305
y[1] (numeric) = 75.017149327393333779277945223944
absolute error = 1.776020806556e-18
relative error = 2.3674863980834666943974955110645e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.353
y[1] (analytic) = 75.167330427809122999529109114665
y[1] (numeric) = 75.167330427809122997749277045266
absolute error = 1.779832069399e-18
relative error = 2.3678266332849944862936981763025e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.354
y[1] (analytic) = 75.31781219764684657509641106539
y[1] (numeric) = 75.317812197646846573312760102817
absolute error = 1.783650962573e-18
relative error = 2.3681661887527935706263719014897e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.355
y[1] (analytic) = 75.46859523883378450103671009985
y[1] (numeric) = 75.468595238833784499249232598513
absolute error = 1.787477501337e-18
relative error = 2.3685050658226905048343588168683e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.356
y[1] (analytic) = 75.619680154502302569183431772395
y[1] (numeric) = 75.619680154502302567392120071381
absolute error = 1.791311701014e-18
relative error = 2.3688432658721679461913310818398e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.357
y[1] (analytic) = 75.771067548992264900189932903135
y[1] (numeric) = 75.771067548992264898394779326211
absolute error = 1.795153576924e-18
relative error = 2.3691807902314226618034756243011e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.358
y[1] (analytic) = 75.92275802785345130379177078436
y[1] (numeric) = 75.922758027853451301992767639913
absolute error = 1.799003144447e-18
relative error = 2.3695176402667136485394208758588e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.359
y[1] (analytic) = 76.07475219784797947873334193679
y[1] (numeric) = 76.074752197847979476930481517814
absolute error = 1.802860418976e-18
relative error = 2.3698538173181190335480411591053e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.36
y[1] (analytic) = 76.227050666952732062047693351985
y[1] (numeric) = 76.227050666952732060240967936042
absolute error = 1.806725415943e-18
relative error = 2.3701893227338032325584611369792e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.361
y[1] (analytic) = 76.37965404436178853739770657612
y[1] (numeric) = 76.379654044361788535587108425318
absolute error = 1.810598150802e-18
relative error = 2.3705241578475769029638836974365e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.362
y[1] (analytic) = 76.532562940488862012206291242475
y[1] (numeric) = 76.532562940488862010391812603425
absolute error = 1.814478639050e-18
relative error = 2.3708583240063772184064035635024e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.363
y[1] (analytic) = 76.685777966969740873322699822385
y[1] (numeric) = 76.685777966969740871504332926178
absolute error = 1.818366896207e-18
relative error = 2.3711918225439543736217298353290e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.364
memory used=183.1MB, alloc=4.4MB, time=8.71
y[1] (analytic) = 76.83929973666473533099158951551
y[1] (numeric) = 76.839299736664735329169326577682
absolute error = 1.822262937828e-18
relative error = 2.3715246547965178318896688188410e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.365
y[1] (analytic) = 76.993128863661128860911010417685
y[1] (numeric) = 76.993128863661128859084843638195
absolute error = 1.826166779490e-18
relative error = 2.3718568220857250992710634486462e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.366
y[1] (analytic) = 77.14726596327563455418509146695
y[1] (numeric) = 77.147265963275634552355013030133
absolute error = 1.830078436817e-18
relative error = 2.3721883257511304545929124104670e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.367
y[1] (analytic) = 77.30171165205685638499682725355
y[1] (numeric) = 77.301711652056856383162829328098
absolute error = 1.833997925452e-18
relative error = 2.3725191671136827770694630790997e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.368
y[1] (analytic) = 77.456466547787755405846039666835
y[1] (numeric) = 77.456466547787755404008114405763
absolute error = 1.837925261072e-18
relative error = 2.3728493474951746703676344280863e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.369
y[1] (analytic) = 77.61153126948812088021729861911
y[1] (numeric) = 77.611531269488120878375438159724
absolute error = 1.841860459386e-18
relative error = 2.3731788682155553186027105935212e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.37
y[1] (analytic) = 77.766906437417046362562335812985
y[1] (numeric) = 77.766906437417046360716532276847
absolute error = 1.845803536138e-18
relative error = 2.3735077305967047083457467404682e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.371
y[1] (analytic) = 77.9225926730754107355012747833
y[1] (numeric) = 77.922592673075410733651520276201
absolute error = 1.849754507099e-18
relative error = 2.3738359359520458763792614136614e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.372
y[1] (analytic) = 78.078590599208364214166829326625
y[1] (numeric) = 78.078590599208364212313115938551
absolute error = 1.853713388074e-18
relative error = 2.3741634855954927134227216373018e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.373
y[1] (analytic) = 78.23490083980781932763549100977
y[1] (numeric) = 78.234900839807819325777810814879
absolute error = 1.857680194891e-18
relative error = 2.3744903808272831084719560599976e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.374
y[1] (analytic) = 78.39152402011494688740963480341
y[1] (numeric) = 78.391524020114946885547979859984
absolute error = 1.861654943426e-18
relative error = 2.3748166229659049588282441071154e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.375
y[1] (analytic) = 78.54846076662267695293442009713
y[1] (numeric) = 78.548460766622676951068782447555
absolute error = 1.865637649575e-18
relative error = 2.3751422133121657418453513657702e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.376
y[1] (analytic) = 78.7057117070782048041533524982
y[1] (numeric) = 78.705711707078204802283724168928
absolute error = 1.869628329272e-18
relative error = 2.3754671531721370227353968779930e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.377
y[1] (analytic) = 78.863277470485501931126399977555
y[1] (numeric) = 78.863277470485501929252772979082
absolute error = 1.873626998473e-18
relative error = 2.3757914438367121120621072538811e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.378
y[1] (analytic) = 79.0211586871078320507546251835
y[1] (numeric) = 79.021158687107832048876991510322
absolute error = 1.877633673178e-18
relative error = 2.3761150866094965874412741278494e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.379
y[1] (analytic) = 79.17935598847027216067540417628
y[1] (numeric) = 79.179355988470272158793755806864
absolute error = 1.881648369416e-18
relative error = 2.3764380827876357610378615940755e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.38
y[1] (analytic) = 79.33787000736223864041245052584
y[1] (numeric) = 79.337870007362238638526779422607
absolute error = 1.885671103233e-18
relative error = 2.3767604336466522544202808138813e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.381
y[1] (analytic) = 79.49670137784001840988505274106
y[1] (numeric) = 79.496701377840018407995350850323
absolute error = 1.889701890737e-18
relative error = 2.3770821404971665462286494718373e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.382
y[1] (analytic) = 79.65585073522930515540116244213
y[1] (numeric) = 79.655850735229305153507421694093
absolute error = 1.893740748037e-18
relative error = 2.3774032046078661366608298225443e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.383
y[1] (analytic) = 79.81531871612774063327924063027
y[1] (numeric) = 79.815318716127740631381452938973
absolute error = 1.897787691297e-18
relative error = 2.3777236272734783935870373022041e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.384
y[1] (analytic) = 79.97510595840746106126407993039
y[1] (numeric) = 79.975105958407461059362237193687
absolute error = 1.901842736703e-18
relative error = 2.3780434097731469479889648918087e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.385
y[1] (analytic) = 80.135213101217648607922171865295
y[1] (numeric) = 80.135213101217648606016265964822
absolute error = 1.905905900473e-18
relative error = 2.3783625533829645502962917939205e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.386
y[1] (analytic) = 80.29564078498708799022258014484
y[1] (numeric) = 80.295640784987087988312602945977
absolute error = 1.909977198863e-18
relative error = 2.3786810593833747627784887544695e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.387
y[1] (analytic) = 80.456389651426728189529713702315
y[1] (numeric) = 80.456389651426728187615657054161
absolute error = 1.914056648154e-18
relative error = 2.3789989290428695636241930086857e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.388
y[1] (analytic) = 80.617460343532249296254866864825
y[1] (numeric) = 80.617460343532249294336722600154
absolute error = 1.918144264671e-18
relative error = 2.3793161636415754914291959612358e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.389
y[1] (analytic) = 80.7788535055866344934339086862
y[1] (numeric) = 80.778853505586634491511668621446
absolute error = 1.922240064754e-18
relative error = 2.3796327644351360039605065973445e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.39
y[1] (analytic) = 80.940569783162747189519059182625
y[1] (numeric) = 80.940569783162747187592715117833
absolute error = 1.926344064792e-18
relative error = 2.3799487326968607340888866804349e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.391
y[1] (analytic) = 81.102609823125913310693287074145
y[1] (numeric) = 81.10260982312591330876283079294
absolute error = 1.930456281205e-18
relative error = 2.3802640696952543624270589524672e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.392
y[1] (analytic) = 81.264974273636508763036501732765
y[1] (numeric) = 81.264974273636508761101925002331
absolute error = 1.934576730434e-18
relative error = 2.3805787766816578900702140808179e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=186.9MB, alloc=4.4MB, time=8.89
x[1] = 1.393
y[1] (analytic) = 81.42766378415255207489339145188
y[1] (numeric) = 81.427663784152552072954686022917
absolute error = 1.938705428963e-18
relative error = 2.3808928549173367728813668631669e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.394
y[1] (analytic) = 81.59067900543230222981348096518
y[1] (numeric) = 81.59067900543230222787063857187
absolute error = 1.942842393310e-18
relative error = 2.3812063056622505577641415996805e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.395
y[1] (analytic) = 81.75402058953686170045474343908
y[1] (numeric) = 81.754020589536861698507755799061
absolute error = 1.946987640019e-18
relative error = 2.3815191301651794727992985640236e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.396
y[1] (analytic) = 81.917689189832784693862906023845
y[1] (numeric) = 81.917689189832784691911764838167
absolute error = 1.951141185678e-18
relative error = 2.3818313296857083701992096847192e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.397
y[1] (analytic) = 82.08168546099469061855943355824
y[1] (numeric) = 82.081685460994690616604130511347
absolute error = 1.955303046893e-18
relative error = 2.3821429054623424005877948547183e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.398
y[1] (analytic) = 82.246010059007882783892062264345
y[1] (numeric) = 82.24601005900788278193258902403
absolute error = 1.959473240315e-18
relative error = 2.3824538587454448181147931134113e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.399
y[1] (analytic) = 82.410663641170972342122684326185
y[1] (numeric) = 82.41066364117097234015903254356
absolute error = 1.963651782625e-18
relative error = 2.3827641907788166555140444254005e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.4
y[1] (analytic) = 82.575646866098507483748355202355
y[1] (numeric) = 82.575646866098507481780516511819
absolute error = 1.967838690536e-18
relative error = 2.3830739028020834321979672078828e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.401
y[1] (analytic) = 82.74096039372360789657220846225
y[1] (numeric) = 82.740960393723607894600174481458
absolute error = 1.972033980792e-18
relative error = 2.3833829960494276087209727229366e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.402
y[1] (analytic) = 82.90660488530060449906211794219
y[1] (numeric) = 82.906604885300604497085880272003
absolute error = 1.976237670187e-18
relative error = 2.3836914717724597560476884686024e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.403
y[1] (analytic) = 83.072581003407684458556044175655
y[1] (numeric) = 83.072581003407684456575594400132
absolute error = 1.980449775523e-18
relative error = 2.3839993311893858519924633885485e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.404
y[1] (analytic) = 83.238889411949541504894141445845
y[1] (numeric) = 83.238889411949541502909471132195
absolute error = 1.984670313650e-18
relative error = 2.3843065755332942923103546548689e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.405
y[1] (analytic) = 83.405530776160031550078883522625
y[1] (numeric) = 83.40553077616003154808998422117
absolute error = 1.988899301455e-18
relative error = 2.3846132060387187608094246196720e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.406
y[1] (analytic) = 83.57250576260483362458569026522
y[1] (numeric) = 83.572505762604833622592553509367
absolute error = 1.993136755853e-18
relative error = 2.3849192239307541640185512864428e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.407
y[1] (analytic) = 83.73981503918411614096780388111
y[1] (numeric) = 83.739815039184116138970421187318
absolute error = 1.997382693792e-18
relative error = 2.3852246304310211463793400963069e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.408
y[1] (analytic) = 83.90745927513520849542047281562
y[1] (numeric) = 83.907459275135208493418835683365
absolute error = 2.001637132255e-18
relative error = 2.3855294267599840414239085486446e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.409
y[1] (analytic) = 84.07543914103527801799085309109
y[1] (numeric) = 84.075439141035278015984953002825
absolute error = 2.005900088265e-18
relative error = 2.3858336141428092088190106207049e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.41
y[1] (analytic) = 84.243755308804012282141431504465
y[1] (numeric) = 84.243755308804012280131259925602
absolute error = 2.010171578863e-18
relative error = 2.3861371937831031000948158265390e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.411
y[1] (analytic) = 84.412408451706306784396212513495
y[1] (numeric) = 84.412408451706306782381760892349
absolute error = 2.014451621146e-18
relative error = 2.3864401669080442041652132769282e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.412
y[1] (analytic) = 84.58139924435495800482039097974
y[1] (numeric) = 84.581399244354958002801650747509
absolute error = 2.018740232231e-18
relative error = 2.3867425347254853062768028259944e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.413
y[1] (analytic) = 84.750728362713361859105756277935
y[1] (numeric) = 84.750728362713361857082718848664
absolute error = 2.023037429271e-18
relative error = 2.3870442984429247334035432237754e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.414
y[1] (analytic) = 84.920396484098217553055639711205
y[1] (numeric) = 84.920396484098217551028296481749
absolute error = 2.027343229456e-18
relative error = 2.3873454592685874720213953135414e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.415
y[1] (analytic) = 85.090404287182236850284826777075
y[1] (numeric) = 85.090404287182236848253169127068
absolute error = 2.031657650007e-18
relative error = 2.3876460184042665448854420827049e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.416
y[1] (analytic) = 85.260752451996858763971508696285
y[1] (numeric) = 85.260752451996858761935527988104
absolute error = 2.035980708181e-18
relative error = 2.3879459770511515013944132854323e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.417
y[1] (analytic) = 85.431441659934969683520043831805
y[1] (numeric) = 85.431441659934969681479731410529
absolute error = 2.040312421276e-18
relative error = 2.3882453364155871643997127066743e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.418
y[1] (analytic) = 85.60247259375362894701503927591
y[1] (numeric) = 85.602472593753628944970386469295
absolute error = 2.044652806615e-18
relative error = 2.3885440976902311196860257731992e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.419
y[1] (analytic) = 85.773845937576799870369046055785
y[1] (numeric) = 85.773845937576799868320044174225
absolute error = 2.049001881560e-18
relative error = 2.3888422620704122163688644335627e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.42
y[1] (analytic) = 85.945562376898086244087988189765
y[1] (numeric) = 85.945562376898086242034628526258
absolute error = 2.053359663507e-18
relative error = 2.3891398307481865092869393522306e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.421
y[1] (analytic) = 86.11762259858347430860031630462
y[1] (numeric) = 86.117622598583474306542590134735
absolute error = 2.057726169885e-18
relative error = 2.3894368049111088515131926039901e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=190.7MB, alloc=4.4MB, time=9.08
TOP MAIN SOLVE Loop
x[1] = 1.422
y[1] (analytic) = 86.29002729087408021911779078646
y[1] (numeric) = 86.290027290874080217055689368295
absolute error = 2.062101418165e-18
relative error = 2.3897331857526079766449486794290e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.423
y[1] (analytic) = 86.462777143388903011017757571655
y[1] (numeric) = 86.462777143388903008951272145812
absolute error = 2.066485425843e-18
relative error = 2.3900289744521664760866524468768e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.424
y[1] (analytic) = 86.63587284712758307675878177755
y[1] (numeric) = 86.635872847127583074687903567091
absolute error = 2.070878210459e-18
relative error = 2.3903241721972909932337809244063e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.425
y[1] (analytic) = 86.80931509447316616536355051341
y[1] (numeric) = 86.80931509447316616328827072383
absolute error = 2.075279789580e-18
relative error = 2.3906187801637494172549499406758e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.426
y[1] (analytic) = 86.98310457919487291552504648861
y[1] (numeric) = 86.983104579194872913445356307792
absolute error = 2.079690180818e-18
relative error = 2.3909127995362819533375236038380e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.427
y[1] (analytic) = 87.157241996450873933414128535395
y[1] (numeric) = 87.157241996450873931330019133587
absolute error = 2.084109401808e-18
relative error = 2.3912062314831702954384385985145e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.428
y[1] (analytic) = 87.331728042791070426288833976735
y[1] (numeric) = 87.331728042791070424200296506503
absolute error = 2.088537470232e-18
relative error = 2.3914990771837835908139131339703e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.429
y[1] (analytic) = 87.506563416159880403027940983895
y[1] (numeric) = 87.506563416159880400934966580094
absolute error = 2.092974403801e-18
relative error = 2.3917913378077985180255378963349e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.43
y[1] (analytic) = 87.68174881589903045273359677298
y[1] (numeric) = 87.681748815899030450636176552716
absolute error = 2.097420220264e-18
relative error = 2.3920830145254607342707667011808e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.431
y[1] (analytic) = 87.8572849427503531125701297733
y[1] (numeric) = 87.857284942750353110468254835899
absolute error = 2.101874937401e-18
relative error = 2.3923741084995122821542563484112e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.432
y[1] (analytic) = 88.03317249885858983602852085265
y[1] (numeric) = 88.033172498858589833922182279616
absolute error = 2.106338573034e-18
relative error = 2.3926646208976623183410498779753e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.433
y[1] (analytic) = 88.20941218777419957282841039465
y[1] (numeric) = 88.209412187774199570717599249639
absolute error = 2.110811145011e-18
relative error = 2.3929545528742995613650944585028e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.434
y[1] (analytic) = 88.386004714456172971691964581005
y[1] (numeric) = 88.386004714456172969576671909774
absolute error = 2.115292671231e-18
relative error = 2.3932439055988108503926522090938e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.435
y[1] (analytic) = 88.562950785274852217246415726335
y[1] (numeric) = 88.562950785274852215126632556718
absolute error = 2.119783169617e-18
relative error = 2.3935326802248454716027949595350e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.436
y[1] (analytic) = 88.74025110801475651233462803561
y[1] (numeric) = 88.740251108014756510210345377479
absolute error = 2.124282658131e-18
relative error = 2.3938208779072759298224485611276e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.437
y[1] (analytic) = 88.917906391877413217035621793695
y[1] (numeric) = 88.917906391877413214906830638928
absolute error = 2.128791154767e-18
relative error = 2.3941084997942141613155565674397e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.438
y[1] (analytic) = 89.09591734748419465571961584401
y[1] (numeric) = 89.095917347484194653586307166444
absolute error = 2.133308677566e-18
relative error = 2.3943955470438156178160051831827e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.439
y[1] (analytic) = 89.27428468687916060348482035881
y[1] (numeric) = 89.27428468687916060134698511422
absolute error = 2.137835244590e-18
relative error = 2.3946820207949561784679641761249e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.44
y[1] (analytic) = 89.453009123531906463345929438345
y[1] (numeric) = 89.453009123531906461203558564389
absolute error = 2.142370873956e-18
relative error = 2.3949679222053340503215126447880e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.441
y[1] (analytic) = 89.632091372340417145567026090305
y[1] (numeric) = 89.63209137234041714342011050651
absolute error = 2.146915583795e-18
relative error = 2.3952532524054404223380459504421e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.442
y[1] (analytic) = 89.8115321496339266605544207265
y[1] (numeric) = 89.811532149633926658402951334207
absolute error = 2.151469392293e-18
relative error = 2.3955380125443828384796233341917e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.443
y[1] (analytic) = 89.99133217317578343674779856077
y[1] (numeric) = 89.991332173175783434591766243106
absolute error = 2.156032317664e-18
relative error = 2.3958222037595977898046451379394e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.444
y[1] (analytic) = 90.171492162166321374970951293235
y[1] (numeric) = 90.17149216216632137281034691508
absolute error = 2.160604378155e-18
relative error = 2.3961058271824129557565290551517e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.445
y[1] (analytic) = 90.352012837245736650726314311875
y[1] (numeric) = 90.352012837245736648561128719811
absolute error = 2.165185592064e-18
relative error = 2.3963888839579313800895750116059e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.446
y[1] (analytic) = 90.53289492049697027594052242525
y[1] (numeric) = 90.532894920496970273770746447546
absolute error = 2.169775977704e-18
relative error = 2.3966713752050305646552896577204e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.447
y[1] (analytic) = 90.714139135448596431691234952135
y[1] (numeric) = 90.714139135448596429516859398685
absolute error = 2.174375553450e-18
relative error = 2.3969533020683362217937848873769e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.448
y[1] (analytic) = 90.895746207077716583468564926315
y[1] (numeric) = 90.895746207077716581289580588626
absolute error = 2.178984337689e-18
relative error = 2.3972346656628586261869784257272e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.449
y[1] (analytic) = 91.077716861812859390547577321245
y[1] (numeric) = 91.077716861812859388363974972385
absolute error = 2.183602348860e-18
relative error = 2.3975154671181075714489740378077e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.45
y[1] (analytic) = 91.26005182753688642107149765098
y[1] (numeric) = 91.260051827536886418883268045545
absolute error = 2.188229605435e-18
relative error = 2.3977957075570295911235644072741e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=194.5MB, alloc=4.4MB, time=9.27
TOP MAIN SOLVE Loop
x[1] = 1.451
y[1] (analytic) = 91.442751833589903684468495154575
y[1] (numeric) = 91.442751833589903682275629028653
absolute error = 2.192866125922e-18
relative error = 2.3980753880992553275901262522427e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.452
y[1] (analytic) = 91.625817610772178992848174113105
y[1] (numeric) = 91.625817610772178990650662184233
absolute error = 2.197511928872e-18
relative error = 2.3983545098686736949934730441583e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.453
y[1] (analytic) = 91.80924989134706516304722277507
y[1] (numeric) = 91.809249891347065160845055742208
absolute error = 2.202167032862e-18
relative error = 2.3986330739747740351254460058236e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.454
y[1] (analytic) = 91.993049409043929071017031970435
y[1] (numeric) = 91.993049409043929068810200513922
absolute error = 2.206831456513e-18
relative error = 2.3989110815322577874122031700967e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.455
y[1] (analytic) = 92.177216899061086570269504869135
y[1] (numeric) = 92.177216899061086568057999650645
absolute error = 2.211505218490e-18
relative error = 2.3991885336608880663081684111835e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.456
y[1] (analytic) = 92.361753098068743286120735580505
y[1] (numeric) = 92.361753098068743283904547243025
absolute error = 2.216188337480e-18
relative error = 2.3994654314615210971372442323177e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.457
y[1] (analytic) = 92.54665874421194129749573748948
y[1] (numeric) = 92.546658744211941295274856657263
absolute error = 2.220880832217e-18
relative error = 2.3997417760432096233899955291607e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.458
y[1] (analytic) = 92.7319345771135117180809524773
y[1] (numeric) = 92.73193457711351171585536975583
absolute error = 2.225582721470e-18
relative error = 2.4000175685100823288346002440673e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.459
y[1] (analytic) = 92.917581337877033188634869573595
y[1] (numeric) = 92.91758133787703318640457554954
absolute error = 2.230294024055e-18
relative error = 2.4002928099742091497399451758919e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.46
y[1] (analytic) = 93.103599769089796292290726226925
y[1] (numeric) = 93.103599769089796290055711468115
absolute error = 2.235014758810e-18
relative error = 2.4005675015285717286127409821324e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.461
y[1] (analytic) = 93.289990614825773904708957357205
y[1] (numeric) = 93.289990614825773902469212412593
absolute error = 2.239744944612e-18
relative error = 2.4008416442653780758459183736400e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.462
y[1] (analytic) = 93.47675462064859749096079676024
y[1] (numeric) = 93.476754620648597488716312159847
absolute error = 2.244484600393e-18
relative error = 2.4011152392930887856736202283912e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.463
y[1] (analytic) = 93.66389253361453936104822236713
y[1] (numeric) = 93.66389253361453935879898862202
absolute error = 2.249233745110e-18
relative error = 2.4013882877041271681273488004697e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.464
y[1] (analytic) = 93.851405102275500895989271414745
y[1] (numeric) = 93.851405102275500893735279016993
absolute error = 2.253992397752e-18
relative error = 2.4016607905823992689393144581087e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.465
y[1] (analytic) = 94.03929307668200675642163385281
y[1] (numeric) = 94.03929307668200675416287327545
absolute error = 2.258760577360e-18
relative error = 2.4019327490245484588110332402482e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.466
y[1] (analytic) = 94.227557208386205085701362394205
y[1] (numeric) = 94.227557208386205083437824091196
absolute error = 2.263538303009e-18
relative error = 2.4022041641206275824155462957395e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.467
y[1] (analytic) = 94.416198250444873719497515603635
y[1] (numeric) = 94.416198250444873717229190009833
absolute error = 2.268325593802e-18
relative error = 2.4024750369477114801570941283590e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.468
y[1] (analytic) = 94.60521695742243241390757641155
y[1] (numeric) = 94.605216957422432411634453942654
absolute error = 2.273122468896e-18
relative error = 2.4027453685974110003217562435264e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.469
y[1] (analytic) = 94.794614085393961104142562531195
y[1] (numeric) = 94.794614085393961101864633583726
absolute error = 2.277928947469e-18
relative error = 2.4030151601408178832003059434950e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.47
y[1] (analytic) = 94.98439039194822420585486754371
y[1] (numeric) = 94.984390391948224203572122494954
absolute error = 2.282745048756e-18
relative error = 2.4032844126665122784254298391307e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.471
y[1] (analytic) = 95.174546636190700971206041994915
y[1] (numeric) = 95.174546636190700968918471202893
absolute error = 2.287570792022e-18
relative error = 2.4035531272519214449635063154472e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.472
y[1] (analytic) = 95.365083578746621911795942815465
y[1] (numeric) = 95.365083578746621909503536618906
absolute error = 2.292406196559e-18
relative error = 2.4038213049601869488719131162084e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.473
y[1] (analytic) = 95.556001981764011300598946829545
y[1] (numeric) = 95.556001981764011298301695547826
absolute error = 2.297251281719e-18
relative error = 2.4040889468747440780073952012900e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.474
y[1] (analytic) = 95.74730260891673576507724015354
y[1] (numeric) = 95.747302608916735762775134086657
absolute error = 2.302106066883e-18
relative error = 2.4043560540666447179967236227782e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.475
y[1] (analytic) = 95.93898622540755898366556000271
y[1] (numeric) = 95.938986225407558981358589431252
absolute error = 2.306970571458e-18
relative error = 2.4046226275914557116303280796747e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.476
y[1] (analytic) = 96.131053597971202497846178917785
y[1] (numeric) = 96.131053597971202495534334102866
absolute error = 2.311844814919e-18
relative error = 2.4048886685330059892704410256582e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.477
y[1] (analytic) = 96.32350549487741265205738379236
y[1] (numeric) = 96.323505494877412649740654975614
absolute error = 2.316728816746e-18
relative error = 2.4051541779376022850596367190038e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.478
y[1] (analytic) = 96.51634268593403367370321342448
y[1] (numeric) = 96.516342685934033671381590827991
absolute error = 2.321622596489e-18
relative error = 2.4054191568816515553829260260557e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.479
memory used=198.3MB, alloc=4.4MB, time=9.45
y[1] (analytic) = 96.709565942490086905556778728565
y[1] (numeric) = 96.709565942490086903230252554849
absolute error = 2.326526173716e-18
relative error = 2.4056836064174939544015410858695e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.48
y[1] (analytic) = 96.903176037438856202874099326805
y[1] (numeric) = 96.903176037438856200542659758764
absolute error = 2.331439568041e-18
relative error = 2.4059475276024397433829392290394e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.481
y[1] (analytic) = 97.09717374522097950756004908911
y[1] (numeric) = 97.097173745220979505223686289988
absolute error = 2.336362799122e-18
relative error = 2.4062109214965624197992157294741e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.482
y[1] (analytic) = 97.291559841827546611752711407525
y[1] (numeric) = 97.29155984182754660941141552088
absolute error = 2.341295886645e-18
relative error = 2.4064737891461280222431911713111e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.483
y[1] (analytic) = 97.486335104803203123217202672935
y[1] (numeric) = 97.486335104803203120870963822584
absolute error = 2.346238850351e-18
relative error = 2.4067361316113314172160808247863e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.484
y[1] (analytic) = 97.68150031324926064496482966787
y[1] (numeric) = 97.681500313249260642613637957866
absolute error = 2.351191710004e-18
relative error = 2.4069979499333002852070004403237e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.485
y[1] (analytic) = 97.877056247826813181538303499075
y[1] (numeric) = 97.877056247826813179182149013654
absolute error = 2.356154485421e-18
relative error = 2.4072592451648383536280728724666e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.486
y[1] (analytic) = 98.07300369075985978442863936579
y[1] (numeric) = 98.073003690759859782067512169337
absolute error = 2.361127196453e-18
relative error = 2.4075200183508381985179952246292e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.487
y[1] (analytic) = 98.269343425838433449114327994945
y[1] (numeric) = 98.26934342583843344674821813196
absolute error = 2.366109862985e-18
relative error = 2.4077802705282625274960878177506e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.488
y[1] (analytic) = 98.466076238421736276238371071805
y[1] (numeric) = 98.466076238421736273867268566851
absolute error = 2.371102504954e-18
relative error = 2.4080400027444063224682664562959e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.489
y[1] (analytic) = 98.663202915441280909463829554375
y[1] (numeric) = 98.663202915441280907087724412049
absolute error = 2.376105142326e-18
relative error = 2.4082992160333847756242564532164e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.49
y[1] (analytic) = 98.86072424540403826257364048242
y[1] (numeric) = 98.860724245404038260192522687307
absolute error = 2.381117795113e-18
relative error = 2.4085579114333631842002541632097e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.491
y[1] (analytic) = 99.05864101839559154840561487727
y[1] (numeric) = 99.058641018395591546019474393902
absolute error = 2.386140483368e-18
relative error = 2.4088160899813717724380573553678e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.492
y[1] (analytic) = 99.2569540260832966222387366778
y[1] (numeric) = 99.256954026083296619847563450621
absolute error = 2.391173227179e-18
relative error = 2.4090737527071747005584006991940e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.493
y[1] (analytic) = 99.455664061719448652272140471595
y[1] (numeric) = 99.455664061719448649875924424916
absolute error = 2.396216046679e-18
relative error = 2.4093309006432999652127731768166e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.494
y[1] (analytic) = 99.65477192014445512986345415939
y[1] (numeric) = 99.654771920144455127462185197352
absolute error = 2.401268962038e-18
relative error = 2.4095875348168868973488958262874e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.495
y[1] (analytic) = 99.85427839779001523221855173688
y[1] (numeric) = 99.854278397790015229812219743412
absolute error = 2.406331993468e-18
relative error = 2.4098436562546499537175317348265e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.496
y[1] (analytic) = 100.05418429268230555025017119204
y[1] (numeric) = 100.05418429268230554783876603082
absolute error = 2.41140516122e-18
relative error = 2.4100992659797874142681549677804e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.497
y[1] (analytic) = 100.25449040444517219434831320007
y[1] (numeric) = 100.25449040444517219193182471448
absolute error = 2.41648848559e-18
relative error = 2.4103543650179040738318523063049e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.498
y[1] (analytic) = 100.4551975343033292908308479537
y[1] (numeric) = 100.45519753430332928840926596679
absolute error = 2.42158198691e-18
relative error = 2.4106089543879308708362787044346e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.499
y[1] (analytic) = 100.65630648508556388186832019593
y[1] (numeric) = 100.65630648508556387944163451039
absolute error = 2.42668568554e-18
relative error = 2.4108630350941464629091740169196e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.5
y[1] (analytic) = 100.8578180612279472417025564277
y[1] (numeric) = 100.85781806122794723927075682578
absolute error = 2.43179960192e-18
relative error = 2.4111166081777842895718585632976e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.501
y[1] (analytic) = 101.05973306877705262200434344654
y[1] (numeric) = 101.05973306877705261956741969004
absolute error = 2.43692375650e-18
relative error = 2.4113696746473009284091131638084e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.502
y[1] (analytic) = 101.26205231539317943924116393732
y[1] (numeric) = 101.26205231539317943679910576756
absolute error = 2.44205816976e-18
relative error = 2.4116222354983562404977040988417e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.503
y[1] (analytic) = 101.46477661035358391695174288505
y[1] (numeric) = 101.46477661035358391450454002281
absolute error = 2.44720286224e-18
relative error = 2.4118742917434113497402214795154e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.504
y[1] (analytic) = 101.66790676455571619584997821526
y[1] (numeric) = 101.66790676455571619339762036073
absolute error = 2.45235785453e-18
relative error = 2.4121258444016285481378312221156e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.505
y[1] (analytic) = 101.87144359052046392470670039392
y[1] (numeric) = 101.87144359052046392224917722667
absolute error = 2.45752316725e-18
relative error = 2.4123768944790747404154622829676e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.506
y[1] (analytic) = 102.07538790239540234498362883876
y[1] (numeric) = 102.0753879023954023425209300177
absolute error = 2.46269882106e-18
relative error = 2.4126274429785516060284040440183e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.507
y[1] (analytic) = 102.2797405159580508822198680112
y[1] (numeric) = 102.27974051595805087975198317453
absolute error = 2.46788483667e-18
relative error = 2.4128774909093084590638577987752e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=202.1MB, alloc=4.4MB, time=9.63
x[1] = 1.508
y[1] (analytic) = 102.48450224861913625719731307702
y[1] (numeric) = 102.48450224861913625472423184222
absolute error = 2.47308123480e-18
relative error = 2.4131270392478507611161682115244e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.509
y[1] (analytic) = 102.68967391942586212993741414825
y[1] (numeric) = 102.68967391942586212745912611199
absolute error = 2.47828803626e-18
relative error = 2.4133760890160747586821012154582e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.51
y[1] (analytic) = 102.89525634906518528960787945276
y[1] (numeric) = 102.8952563490651852871243741909
absolute error = 2.48350526186e-18
relative error = 2.4136246411932506140255352446269e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.511
y[1] (analytic) = 103.10125035986709840344408142672
y[1] (numeric) = 103.10125035986709840095534849424
absolute error = 2.48873293248e-18
relative error = 2.4138726967842449698035395085951e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.512
y[1] (analytic) = 103.30765677580791933781616579253
y[1] (numeric) = 103.3076567758079193353221947235
absolute error = 2.49397106903e-18
relative error = 2.4141202567804499073707051157113e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.513
y[1] (analytic) = 103.51447642251358706459915227632
y[1] (numeric) = 103.51447642251358706209993258387
absolute error = 2.49921969245e-18
relative error = 2.4143673221598204508392004200920e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.514
y[1] (analytic) = 103.72171012726296416602965684018
y[1] (numeric) = 103.72171012726296416352517801642
absolute error = 2.50447882376e-18
relative error = 2.4146138939351181015173942899636e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.515
y[1] (analytic) = 103.92935871899114595125925925904
y[1] (numeric) = 103.92935871899114594874951077508
absolute error = 2.50974848396e-18
relative error = 2.4148599730572477957550969149311e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.516
y[1] (analytic) = 104.13742302829277619784098666822
y[1] (numeric) = 104.13742302829277619532595797406
absolute error = 2.51502869416e-18
relative error = 2.4151055605406133286154307965313e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.517
y[1] (analytic) = 104.34590388742536953141188344813
y[1] (numeric) = 104.34590388742536952889156397266
absolute error = 2.52031947547e-18
relative error = 2.4153506573569692558705726220382e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.518
y[1] (analytic) = 104.55480213031264045686119060662
y[1] (numeric) = 104.55480213031264045433556975758
absolute error = 2.52562084904e-18
relative error = 2.4155952644740066822689047730643e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.519
y[1] (analytic) = 104.76411859254783905430026377024
y[1] (numeric) = 104.76411859254783905176933093412
absolute error = 2.53093283612e-18
relative error = 2.4158393829125693030974862766769e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.52
y[1] (analytic) = 104.97385411139709335317701811154
y[1] (numeric) = 104.97385411139709335064076265363
absolute error = 2.53625545791e-18
relative error = 2.4160830136031337382795000706666e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.521
y[1] (analytic) = 105.18400952580275839790440112708
y[1] (numeric) = 105.18400952580275839536281239136
absolute error = 2.54158873572e-18
relative error = 2.4163261575387285454876247046843e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.522
y[1] (analytic) = 105.394585676386772018399160245
y[1] (numeric) = 105.39458567638677201585222755414
absolute error = 2.54693269086e-18
relative error = 2.4165688156698450817824049547758e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.523
y[1] (analytic) = 105.60558340545401731895399189197
y[1] (numeric) = 105.60558340545401731640170454722
absolute error = 2.55228734475e-18
relative error = 2.4168109890089265016011169454487e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.524
y[1] (analytic) = 105.8170035569956918988930319911
y[1] (numeric) = 105.81700355699569189633537927232
absolute error = 2.55765271878e-18
relative error = 2.4170526784973495326105214372626e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.525
y[1] (analytic) = 106.0288469766926838184875750054
y[1] (numeric) = 106.02884697669268381592454617098
absolute error = 2.56302883442e-18
relative error = 2.4172938851097818019646130280030e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.526
y[1] (analytic) = 106.24111451191895432363588969068
y[1] (numeric) = 106.24111451191895432106747397751
absolute error = 2.56841571317e-18
relative error = 2.4175346098066913201471087067725e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.527
y[1] (analytic) = 106.4538070117449273428380347876
y[1] (numeric) = 106.45380701174492734026422141103
absolute error = 2.57381337657e-18
relative error = 2.4177748535437855220507742704968e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.528
y[1] (analytic) = 106.66692532694088577002366707144
y[1] (numeric) = 106.66692532694088576744444522523
absolute error = 2.57922184621e-18
relative error = 2.4180146172813377644586140893502e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.529
y[1] (analytic) = 106.88047030998037454681797759916
y[1] (numeric) = 106.88047030998037454423333645542
absolute error = 2.58464114374e-18
relative error = 2.4182539019934020659787627622354e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.53
y[1] (analytic) = 107.09444281504361055785808975495
y[1] (numeric) = 107.09444281504361055526801846412
absolute error = 2.59007129083e-18
relative error = 2.4184927086302291079696198444232e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.531
y[1] (analytic) = 107.30884369802089935279950490645
y[1] (numeric) = 107.30884369802089935020399259724
absolute error = 2.59551230921e-18
relative error = 2.4187310381556828960875089311222e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.532
y[1] (analytic) = 107.52367381651605870867948825296
y[1] (numeric) = 107.52367381651605870607852403233
absolute error = 2.60096422063e-18
relative error = 2.4189688915098078407859857742112e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.533
y[1] (analytic) = 107.73893402984984904633164888402
y[1] (numeric) = 107.73893402984984904372522183712
absolute error = 2.60642704690e-18
relative error = 2.4192062696460970928032841208288e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.534
y[1] (analytic) = 107.95462519906341071457338428048
y[1] (numeric) = 107.95462519906341071196148347061
absolute error = 2.61190080987e-18
relative error = 2.4194431735127363913353718651553e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.535
y[1] (analytic) = 108.17074818692170815591533059102
y[1] (numeric) = 108.17074818692170815329794505957
absolute error = 2.61738553145e-18
relative error = 2.4196796040710502918682819933629e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.536
y[1] (analytic) = 108.38730385791698096756948611391
y[1] (numeric) = 108.38730385791698096494660488035
absolute error = 2.62288123356e-18
relative error = 2.4199155622491441330427402625822e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=206.0MB, alloc=4.4MB, time=9.82
TOP MAIN SOLVE Loop
x[1] = 1.537
y[1] (analytic) = 108.60429307827220187156025661823
y[1] (numeric) = 108.60429307827220186893186868004
absolute error = 2.62838793819e-18
relative error = 2.4201510489973858448966496872702e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.538
y[1] (analytic) = 108.8217167159445416077703075591
y[1] (numeric) = 108.82171671594454160513640189173
absolute error = 2.63390566737e-18
relative error = 2.4203860652605203174081720291645e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.539
y[1] (analytic) = 109.03957564062884076378079999025
y[1] (numeric) = 109.03957564062884076114136554709
absolute error = 2.63943444316e-18
relative error = 2.4206206119684584558013253022093e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.54
y[1] (analytic) = 109.25787072376108855539333416414
y[1] (numeric) = 109.25787072376108855274835987646
absolute error = 2.64497428768e-18
relative error = 2.4208546900637873892746022954366e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.541
y[1] (analytic) = 109.47660283852190857174872754552
y[1] (numeric) = 109.47660283852190856909820232241
absolute error = 2.65052522311e-18
relative error = 2.4210883005015484262354991762670e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.542
y[1] (analytic) = 109.69577285984005149898561236138
y[1] (numeric) = 109.69577285984005149632952508975
absolute error = 2.65608727163e-18
relative error = 2.4213214441943199481595126410995e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.543
y[1] (analytic) = 109.91538166439589483640975197861
y[1] (numeric) = 109.91538166439589483374809152312
absolute error = 2.66166045549e-18
relative error = 2.4215541220762304610340771510647e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.544
y[1] (analytic) = 110.13543013062494961917294545294
y[1] (numeric) = 110.13543013062494961650570065596
absolute error = 2.66724479698e-18
relative error = 2.4217863350754092665037324960959e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.545
y[1] (analytic) = 110.35591913872137416148841564032
y[1] (numeric) = 110.35591913872137415881557532186
absolute error = 2.67284031846e-18
relative error = 2.4220180841411354032035764559887e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.546
y[1] (analytic) = 110.57684957064149483443765841736
y[1] (numeric) = 110.57684957064149483175921137507
absolute error = 2.67844704229e-18
relative error = 2.4222493701802264101284027320218e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.547
y[1] (analytic) = 110.79822231010733389245186893263
y[1] (numeric) = 110.79822231010733388976780394173
absolute error = 2.68406499090e-18
relative error = 2.4224801941205439704078360763987e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.548
y[1] (analytic) = 111.02003824261014436257925551821
y[1] (numeric) = 111.02003824261014435988956133144
absolute error = 2.68969418677e-18
relative error = 2.4227105568926741138705388538467e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.549
y[1] (analytic) = 111.24229825541395201067780304399
y[1] (numeric) = 111.24229825541395200798246839157
absolute error = 2.69533465242e-18
relative error = 2.4229404594208149293424552127019e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.55
y[1] (analytic) = 111.46500323755910439870135520834
y[1] (numeric) = 111.46500323755910439600036879794
absolute error = 2.70098641040e-18
relative error = 2.4231699026137731152188070781029e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.551
y[1] (analytic) = 111.68815407986582704727524964162
y[1] (numeric) = 111.68815407986582704456860015831
absolute error = 2.70664948331e-18
relative error = 2.4233988873829291116559748443238e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.552
y[1] (analytic) = 111.91175167493778671778616086666
y[1] (numeric) = 111.91175167493778671507383697284
absolute error = 2.71232389382e-18
relative error = 2.4236274146599875550230452518361e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.553
y[1] (analytic) = 112.13579691716566182823928422638
y[1] (numeric) = 112.13579691716566182552127456177
absolute error = 2.71800966461e-18
relative error = 2.4238554853431724835593182486571e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.554
y[1] (analytic) = 112.36029070273072001716452896824
y[1] (numeric) = 112.36029070273072001444082214979
absolute error = 2.72370681845e-18
relative error = 2.4240831003686652775325458797130e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.555
y[1] (analytic) = 112.58523392960840286988198087996
y[1] (numeric) = 112.58523392960840286715256550185
absolute error = 2.72941537811e-18
relative error = 2.4243102606301912663315318818640e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.556
y[1] (analytic) = 112.81062749757191782146554431836
y[1] (numeric) = 112.81062749757191781873040895192
absolute error = 2.73513536644e-18
relative error = 2.4245369670502628398276813413611e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.557
y[1] (analytic) = 113.03647230819583725077238027476
y[1] (numeric) = 113.03647230819583724803151346848
absolute error = 2.74086680628e-18
relative error = 2.4247632205001768732048606887436e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.558
y[1] (analytic) = 113.26276926485970477993452139388
y[1] (numeric) = 113.26276926485970477718791167327
absolute error = 2.74660972061e-18
relative error = 2.4249890219328658966149677882610e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.559
y[1] (analytic) = 113.48951927275164879373786672056
y[1] (numeric) = 113.48951927275164879098550258821
absolute error = 2.75236413235e-18
relative error = 2.4252143722057609681349413306834e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.56
y[1] (analytic) = 113.71672323887200319334263850896
y[1] (numeric) = 113.7167232388720031905845084444
absolute error = 2.75813006456e-18
relative error = 2.4254392722575241850052435793927e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.561
y[1] (analytic) = 113.9443820720369353988283208031
y[1] (numeric) = 113.94438207203693539606441326282
absolute error = 2.76390754028e-18
relative error = 2.4256637229667244067317393259945e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.562
y[1] (analytic) = 114.17249668288208161507509480633
y[1] (numeric) = 114.17249668288208161230539822371
absolute error = 2.76969658262e-18
relative error = 2.4258877252311689886299761055905e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.563
y[1] (analytic) = 114.4010679838661893755228394122
y[1] (numeric) = 114.40106798386618937274734219745
absolute error = 2.77549721475e-18
relative error = 2.4261112799588760827369583465005e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.564
y[1] (analytic) = 114.63009688927476737837787678954
y[1] (numeric) = 114.63009688927476737559656732968
absolute error = 2.78130945986e-18
relative error = 2.4263343880329826427067680198621e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.565
y[1] (analytic) = 114.85958431522374262986681271527
y[1] (numeric) = 114.85958431522374262707967937407
absolute error = 2.78713334120e-18
relative error = 2.4265570503467225241283824720705e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=209.8MB, alloc=4.4MB, time=10.00
TOP MAIN SOLVE Loop
x[1] = 1.566
y[1] (analytic) = 115.08953117966312490916604954634
y[1] (numeric) = 115.08953117966312490637308066426
absolute error = 2.79296888208e-18
relative error = 2.4267792678032309757322200363885e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.567
y[1] (analytic) = 115.31993840238067856966483643488
y[1] (numeric) = 115.31993840238067856686602032905
absolute error = 2.79881610583e-18
relative error = 2.4270010412806645293219206135236e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.568
y[1] (analytic) = 115.55080690500560169124906673454
y[1] (numeric) = 115.55080690500560168844439169872
absolute error = 2.80467503582e-18
relative error = 2.4272223716496634139162629595243e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.569
y[1] (analytic) = 115.78213761101221259832243663871
y[1] (numeric) = 115.78213761101221259551189094319
absolute error = 2.81054569552e-18
relative error = 2.4274432598251535369169117870745e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.57
y[1] (analytic) = 116.01393144572364375831104205052
y[1] (numeric) = 116.01393144572364375549461394212
absolute error = 2.81642810840e-18
relative error = 2.4276637066796132167864837544599e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.571
y[1] (analytic) = 116.24618933631554307542701262839
y[1] (numeric) = 116.2461893363155430726046903304
absolute error = 2.82232229799e-18
relative error = 2.4278837130950157041833480439188e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.572
y[1] (analytic) = 116.47891221181978259449636299656
y[1] (numeric) = 116.4789122118197825916681347087
absolute error = 2.82822828786e-18
relative error = 2.4281032799454693663773845863075e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.573
y[1] (analytic) = 116.71210100312817462968588137706
y[1] (numeric) = 116.71210100312817462685173527542
absolute error = 2.83414610164e-18
relative error = 2.4283224081143375479997485816315e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.574
y[1] (analytic) = 116.94575664299619533299357550544
y[1] (numeric) = 116.94575664299619533015349974243
absolute error = 2.84007576301e-18
relative error = 2.4285410984855005209767023840939e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.575
y[1] (analytic) = 117.17988006604671571739695475678
y[1] (numeric) = 117.17988006604671571455093746112
absolute error = 2.84601729566e-18
relative error = 2.4287593519091197357301364365342e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.576
y[1] (analytic) = 117.41447220877374014958324604998
y[1] (numeric) = 117.41447220877374014673127532659
absolute error = 2.85197072339e-18
relative error = 2.4289771692870479512099290120158e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.577
y[1] (analytic) = 117.64953400954615232721551943556
y[1] (numeric) = 117.64953400954615232435758336557
absolute error = 2.85793606999e-18
relative error = 2.4291945514702211976396208080548e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.578
y[1] (analytic) = 117.88506640861146875571863742642
y[1] (numeric) = 117.88506640861146875285472406709
absolute error = 2.86391335933e-18
relative error = 2.4294114993354170836577607975253e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.579
y[1] (analytic) = 118.12107034809959973959894021977
y[1] (numeric) = 118.12107034809959973672903760445
absolute error = 2.86990261532e-18
relative error = 2.4296280137510391744431918322828e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.58
y[1] (analytic) = 118.3575467720266179033416371037
y[1] (numeric) = 118.35754677202661790046573324179
absolute error = 2.87590386191e-18
relative error = 2.4298440955771056697914563376804e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.581
y[1] (analytic) = 118.5944966262985342569599926627
y[1] (numeric) = 118.59449662629853425407807553958
absolute error = 2.88191712312e-18
relative error = 2.4300597456905347708309930414474e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.582
y[1] (analytic) = 118.83192085871508182130057501354
y[1] (numeric) = 118.83192085871508181841263259055
absolute error = 2.88794242299e-18
relative error = 2.4302749649428052212812906489408e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.583
y[1] (analytic) = 119.06982041897350682823907233741
y[1] (numeric) = 119.06982041897350682534509255178
absolute error = 2.89397978563e-18
relative error = 2.4304897542021075060988435712334e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.584
y[1] (analytic) = 119.30819625867236751093148354648
y[1] (numeric) = 119.30819625867236750803145431131
absolute error = 2.90002923517e-18
relative error = 2.4307041143111744982931990589223e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.585
y[1] (analytic) = 119.54704933131534049931584915475
y[1] (numeric) = 119.54704933131534049640975835891
absolute error = 2.90609079584e-18
relative error = 2.4309180461543601951432239119720e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.586
y[1] (analytic) = 119.78638059231503483609010943514
y[1] (numeric) = 119.78638059231503483317794494328
absolute error = 2.91216449186e-18
relative error = 2.4311315505652999192044756254663e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.587
y[1] (analytic) = 120.02619099899681362842215885993
y[1] (numeric) = 120.02619099899681362550390851239
absolute error = 2.91825034754e-18
relative error = 2.4313446284106365734444621420495e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.588
y[1] (analytic) = 120.26648151060262335067870875993
y[1] (numeric) = 120.26648151060262334775436037272
absolute error = 2.92434838721e-18
relative error = 2.4315572805313932294504269712990e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.589
y[1] (analytic) = 120.50725308829483081349017422387
y[1] (numeric) = 120.50725308829483081055971558859
absolute error = 2.93045863528e-18
relative error = 2.4317695077929236569023735852984e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.59
y[1] (analytic) = 120.74850669516006781449946661332
y[1] (numeric) = 120.74850669516006781156288549714
absolute error = 2.93658111618e-18
relative error = 2.4319813110348852423680824251906e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.591
y[1] (analytic) = 120.99024329621308348617329981462
y[1] (numeric) = 120.99024329621308348323058396022
absolute error = 2.94271585440e-18
relative error = 2.4321926911044612360635866794016e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.592
y[1] (analytic) = 121.23246385840060435608540660947
y[1] (numeric) = 121.232463858400604353136543735
absolute error = 2.94886287447e-18
relative error = 2.4324036488396943465386744755023e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.593
y[1] (analytic) = 121.47516935060520213511191144382
y[1] (numeric) = 121.47516935060520213215688924283
absolute error = 2.95502220099e-18
relative error = 2.4326141850941801276136889752357e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.594
y[1] (analytic) = 121.71836074364916924901001753354
y[1] (numeric) = 121.71836074364916924604882367494
memory used=213.6MB, alloc=4.4MB, time=10.18
absolute error = 2.96119385860e-18
relative error = 2.4328243007121705373502456813980e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.595
y[1] (analytic) = 121.96203901029840212888213978905
y[1] (numeric) = 121.96203901029840212591476191707
absolute error = 2.96737787198e-18
relative error = 2.4330339965285726119297458375885e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.596
y[1] (analytic) = 122.20620512526629227605865059318
y[1] (numeric) = 122.20620512526629227308507632732
absolute error = 2.97357426586e-18
relative error = 2.4332432733771303751588285201219e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.597
y[1] (analytic) = 122.45086006521762511696350315126
y[1] (numeric) = 122.45086006521762511398372008623
absolute error = 2.97978306503e-18
relative error = 2.4334521320985089946181177593095e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.598
y[1] (analytic) = 122.69600480877248666355815707449
y[1] (numeric) = 122.69600480877248666057215278015
absolute error = 2.98600429434e-18
relative error = 2.4336605735401316431045837899978e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.599
y[1] (analytic) = 122.94164033651017799499045318105
y[1] (numeric) = 122.94164033651017799199821520239
absolute error = 2.99223797866e-18
relative error = 2.4338685985234819113722994383335e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.6
y[1] (analytic) = 123.18776763097313757610636932996
y[1] (numeric) = 123.18776763097313757310788518703
absolute error = 2.99848414293e-18
relative error = 2.4340762078848567651327017341873e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.601
y[1] (analytic) = 123.43438767667087142851393656425
y[1] (numeric) = 123.43438767667087142550919375212
absolute error = 3.00474281213e-18
relative error = 2.4342834024508205218342873880720e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.602
y[1] (analytic) = 123.68150146008389116992000505946
y[1] (numeric) = 123.68150146008389116690899104816
absolute error = 3.01101401130e-18
relative error = 2.4344901830543783873173623819048e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.603
y[1] (analytic) = 123.92910996966765993749202247526
y[1] (numeric) = 123.92910996966765993447472470975
absolute error = 3.01729776551e-18
relative error = 2.4346965505106108138685332128409e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.604
y[1] (analytic) = 124.1772141958565462110285234185
y[1] (numeric) = 124.17721419585654620800492931858
absolute error = 3.02359409992e-18
relative error = 2.4349025056650764034685044741948e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.605
y[1] (analytic) = 124.42581513106778555175362797134
y[1] (numeric) = 124.42581513106778554872372493164
absolute error = 3.02990303970e-18
relative error = 2.4351080493291185626968325927010e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.606
y[1] (analytic) = 124.67491376970545027258250974496
y[1] (numeric) = 124.67491376970545026954628513488
absolute error = 3.03622461008e-18
relative error = 2.4353131823202168221882913006577e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.607
y[1] (analytic) = 124.92451110816442705573651981344
y[1] (numeric) = 124.92451110816442705269396097708
absolute error = 3.04255883636e-18
relative error = 2.4355179054698369095146398684297e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.608
y[1] (analytic) = 125.17460814483440253361844229187
y[1] (numeric) = 125.174608144834402530569536548
absolute error = 3.04890574387e-18
relative error = 2.4357222195912419201476029018930e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.609
y[1] (analytic) = 125.42520588010385684889021037382
y[1] (numeric) = 125.42520588010385684583494501582
absolute error = 3.05526535800e-18
relative error = 2.4359261255034984550784447756069e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.61
y[1] (analytic) = 125.6763053163640652097273284638
y[1] (numeric) = 125.67630531636406520666569075961
absolute error = 3.06163770419e-18
relative error = 2.4361296240233680387573669867975e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.611
y[1] (analytic) = 125.92790745801310745625622675772
y[1] (numeric) = 125.9279074580131074531882039498
absolute error = 3.06802280792e-18
relative error = 2.4363327159572951686321506827683e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.612
y[1] (analytic) = 126.18001331145988565421281936701
y[1] (numeric) = 126.18001331145988565113839867226
absolute error = 3.07442069475e-18
relative error = 2.4365354021331172493949406384583e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.613
y[1] (analytic) = 126.43262388512814973189264597721
y[1] (numeric) = 126.43262388512814972881181458696
absolute error = 3.08083139025e-18
relative error = 2.4367376833443919213745953723340e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.614
y[1] (analytic) = 126.68574018946053117649515020938
y[1] (numeric) = 126.6857401894605311734078952893
absolute error = 3.08725492008e-18
relative error = 2.4369395604137935054015399758162e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.615
y[1] (analytic) = 126.93936323692258480599688543944
y[1] (numeric) = 126.93936323692258480290319412952
absolute error = 3.09369130992e-18
relative error = 2.4371410341375846249942435604954e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.616
y[1] (analytic) = 127.1934940420068386327207409575
y[1] (numeric) = 127.19349404200683862962060037198
absolute error = 3.10014058552e-18
relative error = 2.4373421053250959792713364176952e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.617
y[1] (analytic) = 127.44813362123685183480064814376
y[1] (numeric) = 127.44813362123685183169404537109
absolute error = 3.10660277267e-18
relative error = 2.4375427747749635562424215223295e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.618
y[1] (analytic) = 127.70328299317128085177365793056
y[1] (numeric) = 127.70328299317128084866058003333
absolute error = 3.11307789723e-18
relative error = 2.4377430432986336192956678825830e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.619
y[1] (analytic) = 127.95894317840795362056377734022
y[1] (numeric) = 127.95894317840795361744421135511
absolute error = 3.11956598511e-18
relative error = 2.4379429117045112984329617051779e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.62
y[1] (analytic) = 128.2151151995879519681545144664
y[1] (numeric) = 128.21511519958795196502844740416
absolute error = 3.12606706224e-18
relative error = 2.4381423807744988226579793971646e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.621
y[1] (analytic) = 128.47180008139970217727970803242
y[1] (numeric) = 128.47180008139970217414712687779
absolute error = 3.13258115463e-18
relative error = 2.4383414513108692495690048178073e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.622
y[1] (analytic) = 128.72899885058307374149490974382
y[1] (numeric) = 128.72899885058307373835580145547
absolute error = 3.13910828835e-18
relative error = 2.4385401241204335777062064612738e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=217.4MB, alloc=4.4MB, time=10.36
x[1] = 1.623
y[1] (analytic) = 128.98671253593348632602434518572
y[1] (numeric) = 128.98671253593348632287869669622
absolute error = 3.14564848950e-18
relative error = 2.4387383999911434834899583596693e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.624
y[1] (analytic) = 129.24494216830602495081130212886
y[1] (numeric) = 129.24494216830602494765910034462
absolute error = 3.15220178424e-18
relative error = 2.4389362797153975252105526189710e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.625
y[1] (analytic) = 129.50368878061956341223268393272
y[1] (numeric) = 129.50368878061956340907391573393
absolute error = 3.15876819879e-18
relative error = 2.4391337640899034934982221058565e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.626
y[1] (analytic) = 129.76295340786089595997142040179
y[1] (numeric) = 129.7629534078608959568060726424
absolute error = 3.16534775939e-18
relative error = 2.4393308538847164829223438204309e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.627
y[1] (analytic) = 130.02273708708887724557344909367
y[1] (numeric) = 130.02273708708887724240150860129
absolute error = 3.17194049238e-18
relative error = 2.4395275499049392005117858246975e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.628
y[1] (analytic) = 130.28304085743857055924906682668
y[1] (numeric) = 130.28304085743857055607052040255
absolute error = 3.17854642413e-18
relative error = 2.4397238529365500450310411899015e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.629
y[1] (analytic) = 130.54386576012540437151160412354
y[1] (numeric) = 130.54386576012540436832643854246
absolute error = 3.18516558108e-18
relative error = 2.4399197637771411389179990989340e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.63
y[1] (analytic) = 130.80521283844933719627959468769
y[1] (numeric) = 130.80521283844933719308779669802
absolute error = 3.19179798967e-18
relative error = 2.4401152831821942854492458021142e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.631
y[1] (analytic) = 131.06708313779903079210189787434
y[1] (numeric) = 131.06708313779903078890345419788
absolute error = 3.19844367646e-18
relative error = 2.4403104119569639800441385659842e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.632
y[1] (analytic) = 131.32947770565603171819858462069
y[1] (numeric) = 131.32947770565603171499348195268
absolute error = 3.20510266801e-18
relative error = 2.4405051508645147490621847091146e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.633
y[1] (analytic) = 131.59239759159896126204381657458
y[1] (numeric) = 131.59239759159896125883204158361
absolute error = 3.21177499097e-18
relative error = 2.4406995006944414169792762948611e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.634
y[1] (analytic) = 131.85584384730771375525043433938
y[1] (numeric) = 131.85584384730771375203197366736
absolute error = 3.21846067202e-18
relative error = 2.4408934622170072585161798447317e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.635
y[1] (analytic) = 132.11981752656766329454952397148
y[1] (numeric) = 132.11981752656766329132436423356
absolute error = 3.22515973792e-18
relative error = 2.4410870362210878890215566561710e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.636
y[1] (analytic) = 132.3843196852738788846918512574
y[1] (numeric) = 132.38431968527387888145997904194
absolute error = 3.23187221546e-18
relative error = 2.4412802234761235718108686210244e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.637
y[1] (analytic) = 132.64935138143534802013174099656
y[1] (numeric) = 132.64935138143534801689314286509
absolute error = 3.23859813147e-18
relative error = 2.4414730247397583356938291179772e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.638
y[1] (analytic) = 132.91491367517920872238773365675
y[1] (numeric) = 132.91491367517920871914239614387
absolute error = 3.24533751288e-18
relative error = 2.4416654408030065047240110670794e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.639
y[1] (analytic) = 133.18100762875499005000817448734
y[1] (numeric) = 133.18100762875499004675608410071
absolute error = 3.25209038663e-18
relative error = 2.4418574724222495871623072386902e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.64
y[1] (analytic) = 133.44763430653886109810378060699
y[1] (numeric) = 133.44763430653886109484492382726
absolute error = 3.25885677973e-18
relative error = 2.4420491203644498028182005940750e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.641
y[1] (analytic) = 133.71479477503788850444318986119
y[1] (numeric) = 133.71479477503788850117755314193
absolute error = 3.26563671926e-18
relative error = 2.4422403854069518177167330658757e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.642
y[1] (analytic) = 133.98249010289430247914152150857
y[1] (numeric) = 133.98249010289430247586909127624
absolute error = 3.27243023233e-18
relative error = 2.4424312683074313538602088627754e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.643
y[1] (analytic) = 134.25072136088977137500607317834
y[1] (numeric) = 134.25072136088977137172683583221
absolute error = 3.27923734613e-18
relative error = 2.4426217698412419544948401917236e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.644
y[1] (analytic) = 134.51948962194968481563744118093
y[1] (numeric) = 134.51948962194968481235138309307
absolute error = 3.28605808786e-18
relative error = 2.4428118907491085881593004747118e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.645
y[1] (analytic) = 134.78879596114744539841858228736
y[1] (numeric) = 134.78879596114744539512568980253
absolute error = 3.29289248483e-18
relative error = 2.4430016318115702605705561500313e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.646
y[1] (analytic) = 135.05864145570876898955863465556
y[1] (numeric) = 135.0586414557087689862588940912
absolute error = 3.29974056436e-18
relative error = 2.4431909937744482400105727308689e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.647
y[1] (analytic) = 135.329027185015993628392683813
y[1] (numeric) = 135.32902718501599362508608145915
absolute error = 3.30660235385e-18
relative error = 2.4433799774008249218363678658049e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.648
y[1] (analytic) = 135.59995423061239705817309663959
y[1] (numeric) = 135.59995423061239705485961875884
absolute error = 3.31347788075e-18
relative error = 2.4435685834486550902138298060862e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.649
y[1] (analytic) = 135.8714236762065229006225522731
y[1] (numeric) = 135.87142367620652289730218510055
absolute error = 3.32036717255e-18
relative error = 2.4437568126633641195779519739404e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.65
y[1] (analytic) = 136.14343660767651549155347391736
y[1] (numeric) = 136.14343660767651548822620366055
absolute error = 3.32727025681e-18
relative error = 2.4439446657999157699570474119899e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.651
y[1] (analytic) = 136.4159941130744633948932098108
y[1] (numeric) = 136.41599411307446339155902264964
absolute error = 3.33418716116e-18
relative error = 2.4441321436226244071766370966070e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=221.2MB, alloc=4.4MB, time=10.54
x[1] = 1.652
y[1] (analytic) = 136.6890972826307516124890252473
y[1] (numeric) = 136.68909728263075160914790733405
absolute error = 3.34111791325e-18
relative error = 2.4443192468683893205960239480690e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.653
y[1] (analytic) = 136.96274720875842250710175067248
y[1] (numeric) = 136.96274720875842250375368813167
absolute error = 3.34806254081e-18
relative error = 2.4445059762906828130453194147734e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.654
y[1] (analytic) = 137.23694498605754545603178364432
y[1] (numeric) = 137.23694498605754545267676257271
absolute error = 3.35502107161e-18
relative error = 2.4446923326301457069135678679758e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.655
y[1] (analytic) = 137.51169171131959525285606498856
y[1] (numeric) = 137.51169171131959524949407145507
absolute error = 3.36199353349e-18
relative error = 2.4448783166364389000763884783794e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.656
y[1] (analytic) = 137.78698848353183927478964193448
y[1] (numeric) = 137.78698848353183927142066198013
absolute error = 3.36897995435e-18
relative error = 2.4450639290608031959939936146250e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.657
y[1] (analytic) = 138.06283640388173343322049352698
y[1] (numeric) = 138.06283640388173342984451316485
absolute error = 3.37598036213e-18
relative error = 2.4452491706414644871207813577143e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.658
y[1] (analytic) = 138.33923657576132692500142631544
y[1] (numeric) = 138.33923657576132692161843153063
absolute error = 3.38299478481e-18
relative error = 2.4454340421036707981445025103841e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.659
y[1] (analytic) = 138.61619010477167580211805136012
y[1] (numeric) = 138.61619010477167579872802810964
absolute error = 3.39002325048e-18
relative error = 2.4456185442102285941516500850713e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.66
y[1] (analytic) = 138.89369809872726537738712711246
y[1] (numeric) = 138.89369809872726537399006132522
absolute error = 3.39706578724e-18
relative error = 2.4458026776890380582931149691672e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.661
y[1] (analytic) = 139.17176166766044148387489685954
y[1] (numeric) = 139.17176166766044148047077443628
absolute error = 3.40412242326e-18
relative error = 2.4459864432764604553539096878936e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.662
y[1] (analytic) = 139.45038192382585060576046431413
y[1] (numeric) = 139.45038192382585060234927112738
absolute error = 3.41119318675e-18
relative error = 2.4461698416956283917888878379955e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.663
y[1] (analytic) = 139.7295599817048888984047367242
y[1] (numeric) = 139.72955998170488889498645861818
absolute error = 3.41827810602e-18
relative error = 2.4463528736994255017910156910284e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.664
y[1] (analytic) = 140.00929695801016011542102170952
y[1] (numeric) = 140.00929695801016011199564450011
absolute error = 3.42537720941e-18
relative error = 2.4465355400201004908793734227390e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.665
y[1] (analytic) = 140.28959397168994246057899205172
y[1] (numeric) = 140.28959397168994245714650152643
absolute error = 3.43249052529e-18
relative error = 2.4467178413693799903070152853729e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.666
y[1] (analytic) = 140.5704521439326643824094320096
y[1] (numeric) = 140.57045214393266437896981392746
absolute error = 3.43961808214e-18
relative error = 2.4468997784954920355838107773087e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.667
y[1] (analytic) = 140.8518725981713893294129495461
y[1] (numeric) = 140.85187259817138932596618963765
absolute error = 3.44675990845e-18
relative error = 2.4470813521117131322559787244469e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.668
y[1] (analytic) = 141.13385646008830948381168128178
y[1] (numeric) = 141.13385646008830948035776524898
absolute error = 3.45391603280e-18
relative error = 2.4472625629533079897412585816642e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.669
y[1] (analytic) = 141.41640485761924849181893117301
y[1] (numeric) = 141.41640485761924848835784468921
absolute error = 3.46108648380e-18
relative error = 2.4474434117347901202590041729516e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.67
y[1] (analytic) = 141.6995189209581732084376699973
y[1] (numeric) = 141.69951892095817320496939870715
absolute error = 3.46827129015e-18
relative error = 2.4476238991923795047663674705679e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.671
y[1] (analytic) = 141.98319978256171447483488085519
y[1] (numeric) = 141.98319978256171447135941037461
absolute error = 3.47547048058e-18
relative error = 2.4478040260414352594112987643899e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.672
y[1] (analytic) = 142.26744857715369694637486621399
y[1] (numeric) = 142.2674485771536969428921821301
absolute error = 3.48268408389e-18
relative error = 2.4479837930046872268527336421971e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.673
y[1] (analytic) = 142.55226644172967798943083466624
y[1] (numeric) = 142.55226644172967798594092253731
absolute error = 3.48991212893e-18
relative error = 2.4481632007980403317188051073990e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.674
y[1] (analytic) = 142.83765451556149566513036070121
y[1] (numeric) = 142.83765451556149566163320605658
absolute error = 3.49715464463e-18
relative error = 2.4483422501515532284766765841112e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.675
y[1] (analytic) = 143.12361394020182581822665853508
y[1] (numeric) = 143.12361394020182581472224687515
absolute error = 3.50441165993e-18
relative error = 2.4485209417602959757786851181784e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.676
y[1] (analytic) = 143.41014585948874828932403156126
y[1] (numeric) = 143.41014585948874828581234835739
absolute error = 3.51168320387e-18
relative error = 2.4486992763473638774664837075644e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.677
y[1] (analytic) = 143.69725141955032226872235241073
y[1] (numeric) = 143.69725141955032226520338310518
absolute error = 3.51896930555e-18
relative error = 2.4488772546356698126470121602218e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.678
y[1] (analytic) = 143.98493176880917081018199510084
y[1] (numeric) = 143.98493176880917080665572510673
absolute error = 3.52626999411e-18
relative error = 2.4490548773339631665222230686460e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.679
y[1] (analytic) = 144.27318805798707452294728044506
y[1] (numeric) = 144.27318805798707451941369514632
absolute error = 3.53358529874e-18
relative error = 2.4492321451438100409588776608402e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.68
y[1] (analytic) = 144.56202144010957446040320894234
y[1] (numeric) = 144.56202144010957445686229369363
absolute error = 3.54091524871e-18
relative error = 2.4494090587803253073000015595236e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=225.0MB, alloc=4.4MB, time=10.73
TOP MAIN SOLVE Loop
x[1] = 1.681
y[1] (analytic) = 144.85143307051058422377704191012
y[1] (numeric) = 144.8514330705105842202287820368
absolute error = 3.54825987332e-18
relative error = 2.4495856189374273356519677329960e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.682
y[1] (analytic) = 145.14142410683701129933315181697
y[1] (numeric) = 145.14142410683701129577753261498
absolute error = 3.55561920199e-18
relative error = 2.4497618263499658655517509480284e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.683
y[1] (analytic) = 145.43199570905338764754649675576
y[1] (numeric) = 145.43199570905338764398350349164
absolute error = 3.56299326412e-18
relative error = 2.4499376816969566240729657532112e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.684
y[1] (analytic) = 145.72314903944650956277708192578
y[1] (numeric) = 145.72314903944650955920669983655
absolute error = 3.57038208923e-18
relative error = 2.4501131856981184697736181192732e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.685
y[1] (analytic) = 146.01488526263008682200485300766
y[1] (numeric) = 146.01488526263008681842706730081
absolute error = 3.57778570685e-18
relative error = 2.4502883390380409557525127699265e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.686
y[1] (analytic) = 146.30720554554940114122162257002
y[1] (numeric) = 146.3072055455494011376364184234
absolute error = 3.58520414662e-18
relative error = 2.4504631424347919169535308061123e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.687
y[1] (analytic) = 146.60011105748597395811386128635
y[1] (numeric) = 146.60011105748597395452122384815
absolute error = 3.59263743820e-18
relative error = 2.4506375965781002099127782288699e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.688
y[1] (analytic) = 146.89360297006224355970749091744
y[1] (numeric) = 146.89360297006224355610740530611
absolute error = 3.60008561133e-18
relative error = 2.4508117021703920205469798461747e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.689
y[1] (analytic) = 147.18768245724625157368319587434
y[1] (numeric) = 147.18768245724625157007564717855
absolute error = 3.60754869579e-18
relative error = 2.4509854598993962402329364784301e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.69
y[1] (analytic) = 147.48235069535633884210822487202
y[1] (numeric) = 147.48235069535633883849319815057
absolute error = 3.61502672145e-18
relative error = 2.4511588704721015220340746481297e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.691
y[1] (analytic) = 147.7776088630658506963681838619
y[1] (numeric) = 147.7776088630658506927456641437
absolute error = 3.62251971820e-18
relative error = 2.4513319345671038236974886550140e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.692
y[1] (analytic) = 148.07345814140785165211992624432
y[1] (numeric) = 148.07345814140785164848989852828
absolute error = 3.63002771604e-18
relative error = 2.4515046528955783130212324069557e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.693
y[1] (analytic) = 148.36989971377984954312432645852
y[1] (numeric) = 148.36989971377984953948677571354
absolute error = 3.63755074498e-18
relative error = 2.4516770261334635077032837375725e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.694
y[1] (analytic) = 148.66693476594852911285547858038
y[1] (numeric) = 148.66693476594852910921038974525
absolute error = 3.64508883513e-18
relative error = 2.4518490549822586825500433236650e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.695
y[1] (analytic) = 148.96456448605449508282069267586
y[1] (numeric) = 148.96456448605449507916805065924
absolute error = 3.65264201662e-18
relative error = 2.4520207401149732310216568559577e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.696
y[1] (analytic) = 149.26279006461702471656356851446
y[1] (numeric) = 149.26279006461702471290335819479
absolute error = 3.66021031967e-18
relative error = 2.4521920822232161385514833288140e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.697
y[1] (analytic) = 149.56161269453882989836040899164
y[1] (numeric) = 149.56161269453882989469261521706
absolute error = 3.66779377458e-18
relative error = 2.4523630820102327764070640005278e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.698
y[1] (analytic) = 149.8610335711108287456582943952
y[1] (numeric) = 149.86103357111082874198290198355
absolute error = 3.67539241165e-18
relative error = 2.4525337401373139016297165009324e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.699
y[1] (analytic) = 150.16105389201692677434127363034
y[1] (numeric) = 150.16105389201692677065826736906
absolute error = 3.68300626128e-18
relative error = 2.4527040572907174840374642151294e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.7
y[1] (analytic) = 150.46167485733880763594933984279
y[1] (numeric) = 150.46167485733880763225870448884
absolute error = 3.69063535395e-18
relative error = 2.4528740341680360426216919462097e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.701
y[1] (analytic) = 150.76289766956073344601314570359
y[1] (numeric) = 150.76289766956073344231486598344
absolute error = 3.69827972015e-18
relative error = 2.4530436714315610437041621971467e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.702
y[1] (analytic) = 151.06472353357435472270577809505
y[1] (numeric) = 151.06472353357435471899983870459
absolute error = 3.70593939046e-18
relative error = 2.4532129697615006559945472197555e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.703
y[1] (analytic) = 151.36715365668352995505135321795
y[1] (numeric) = 151.36715365668352995133773882242
absolute error = 3.71361439553e-18
relative error = 2.4533819298424968988026945995750e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.704
y[1] (analytic) = 151.67018924860915481996871138062
y[1] (numeric) = 151.67018924860915481624740661457
absolute error = 3.72130476605e-18
relative error = 2.4535505523437098827229844364625e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.705
y[1] (analytic) = 151.97383152149400106746708608362
y[1] (numeric) = 151.97383152149400106373807555084
absolute error = 3.72901053278e-18
relative error = 2.4537188379386207991872810454176e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.706
y[1] (analytic) = 152.27808168990756509334929463449
y[1] (numeric) = 152.27808168990756508961256290793
absolute error = 3.73673172656e-18
relative error = 2.4538867873114643567855713148720e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.707
y[1] (analytic) = 152.58294097085092621881674757011
y[1] (numeric) = 152.58294097085092621507227919185
absolute error = 3.74446837826e-18
relative error = 2.4540544011242607573110584989709e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.708
y[1] (analytic) = 152.8884105837616146964094017845
y[1] (numeric) = 152.88841058376161469265718126567
absolute error = 3.75222051883e-18
relative error = 2.4542216800496492129866621233300e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.709
y[1] (analytic) = 153.19449175051848946175268761242
y[1] (numeric) = 153.19449175051848945799269943314
absolute error = 3.75998817928e-18
relative error = 2.4543886247576354217253865097969e-18 %
Correct digits = 19
h = 0.001
memory used=228.8MB, alloc=4.4MB, time=10.91
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.71
y[1] (analytic) = 153.50118569544662565062242336024
y[1] (numeric) = 153.50118569544662564685465196956
absolute error = 3.76777139068e-18
relative error = 2.4545552359155262788979758584839e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.711
y[1] (analytic) = 153.80849364532221190087779206036
y[1] (numeric) = 153.8084936453222118971022218762
absolute error = 3.77557018416e-18
relative error = 2.4547215141878653141970176396406e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.712
y[1] (analytic) = 154.11641682937745745885159471093
y[1] (numeric) = 154.11641682937745745506821012001
absolute error = 3.78338459092e-18
relative error = 2.4548874602428574505402543184570e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.713
y[1] (analytic) = 154.42495647930550910982621210452
y[1] (numeric) = 154.42495647930550910603499746231
absolute error = 3.79121464221e-18
relative error = 2.4550530747392897824134104906442e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.714
y[1] (analytic) = 154.73411382926537795226300370572
y[1] (numeric) = 154.73411382926537794846394333635
absolute error = 3.79906036937e-18
relative error = 2.4552183583523849075580044983793e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.715
y[1] (analytic) = 155.04389011588687603549224706404
y[1] (numeric) = 155.0438901158868760316853252603
absolute error = 3.80692180374e-18
relative error = 2.4553833117154974538861849257449e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.716
y[1] (analytic) = 155.35428657827556288061017510438
y[1] (numeric) = 155.35428657827556287679537612757
absolute error = 3.81479897681e-18
relative error = 2.4555479355169939463954671171721e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.717
y[1] (analytic) = 155.66530445801770190436920147816
y[1] (numeric) = 155.66530445801770190054650955808
absolute error = 3.82269192008e-18
relative error = 2.4557122304096764407392105795330e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.718
y[1] (analytic) = 155.97694499918522676588703614496
y[1] (numeric) = 155.97694499918522676205643547985
absolute error = 3.83060066511e-18
relative error = 2.4558761970431013518802144391825e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.719
y[1] (analytic) = 156.28920944834071765604008464277
y[1] (numeric) = 156.28920944834071765220155939923
absolute error = 3.83852524354e-18
relative error = 2.4560398360763175741821095922622e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.72
y[1] (analytic) = 156.60209905454238754944629525546
y[1] (numeric) = 156.60209905454238754559982956839
absolute error = 3.84646568707e-18
relative error = 2.4562031481649094370862771737720e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.721
y[1] (analytic) = 156.91561506934907843898246865724
y[1] (numeric) = 156.91561506934907843512804662979
absolute error = 3.85442202745e-18
relative error = 2.4563661339545670601458281324029e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.722
y[1] (analytic) = 157.22975874682526757282097476506
y[1] (numeric) = 157.22975874682526756895858046854
absolute error = 3.86239429652e-18
relative error = 2.4565287941065343752615088320120e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.723
y[1] (analytic) = 157.54453134354608371401083162066
y[1] (numeric) = 157.54453134354608371014044909449
absolute error = 3.87038252617e-18
relative error = 2.4566911292719731644868262765202e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.724
y[1] (analytic) = 157.85993411860233344266819131508
y[1] (numeric) = 157.85993411860233343878980456672
absolute error = 3.87838674836e-18
relative error = 2.4568531401046416544025851410908e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.725
y[1] (analytic) = 158.17596833360553752088144841916
y[1] (numeric) = 158.17596833360553751699504142409
absolute error = 3.88640699507e-18
relative error = 2.4570148272291669987784622207297e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.726
y[1] (analytic) = 158.49263525269297734047643725584
y[1] (numeric) = 158.49263525269297733658199395743
absolute error = 3.89444329841e-18
relative error = 2.4571761913106488031294326503463e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.727
y[1] (analytic) = 158.80993614253275147382751580338
y[1] (numeric) = 158.80993614253275146992502011285
absolute error = 3.90249569053e-18
relative error = 2.4573372329974930717293742866354e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.728
y[1] (analytic) = 159.12787227232884234794074621602
y[1] (numeric) = 159.1278722723288423440301820124
absolute error = 3.91056420362e-18
relative error = 2.4574979529214871132598142578328e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.729
y[1] (analytic) = 159.44644491382619306207587505052
y[1] (numeric) = 159.44644491382619305815722618056
absolute error = 3.91864886996e-18
relative error = 2.4576583517292328237314524814366e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.73
y[1] (analytic) = 159.76565534131579436921439045535
y[1] (numeric) = 159.76565534131579436528764073344
absolute error = 3.92674972191e-18
relative error = 2.4578184300756489254429212175602e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.731
y[1] (analytic) = 160.08550483163978184172158897745
y[1] (numeric) = 160.08550483163978183778672218561
absolute error = 3.93486679184e-18
relative error = 2.4579781885800700323094872525244e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.732
y[1] (analytic) = 160.40599466419654324159132143127
y[1] (numeric) = 160.40599466419654323764832131903
absolute error = 3.94300011224e-18
relative error = 2.4581376278950865435863851402024e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.733
y[1] (analytic) = 160.72712612094583611570290561856
y[1] (numeric) = 160.72712612094583611175175590293
absolute error = 3.95114971563e-18
relative error = 2.4582967486501267017864581107176e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.734
y[1] (analytic) = 161.04890048641391563656059375034
y[1] (numeric) = 161.04890048641391563260127811571
absolute error = 3.95931563463e-18
relative error = 2.4584555514950614923718641404017e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.735
y[1] (analytic) = 161.37131904769867270902696436576
y[1] (numeric) = 161.37131904769867270505946646388
absolute error = 3.96749790188e-18
relative error = 2.4586140370503346615696720694878e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.736
y[1] (analytic) = 161.69438309447478236360267253252
y[1] (numeric) = 161.69438309447478235962697598239
absolute error = 3.97569655013e-18
relative error = 2.4587722059628257523329477172228e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.737
y[1] (analytic) = 162.01809391899886245684613831206
y[1] (numeric) = 162.01809391899886245286222669991
absolute error = 3.98391161215e-18
relative error = 2.4589300588499463023302812089778e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=232.7MB, alloc=4.4MB, time=11.09
x[1] = 1.738
y[1] (analytic) = 162.34245281611464269956798204686
y[1] (numeric) = 162.34245281611464269557583892603
absolute error = 3.99214312083e-18
relative error = 2.4590875963614409675698575421576e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.739
y[1] (analytic) = 162.6674610832581440334763261393
y[1] (numeric) = 162.66746108325814402947593503024
absolute error = 4.00039110906e-18
relative error = 2.4592448191052040864974125673251e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.74
y[1] (analytic) = 162.99312002046286837699047680953
y[1] (numeric) = 162.99312002046286837298182119966
absolute error = 4.00865560987e-18
relative error = 2.4594017277334993413172680773035e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.741
y[1] (analytic) = 163.31943093036499876098197600622
y[1] (numeric) = 163.31943093036499875696503934993
absolute error = 4.01693665629e-18
relative error = 2.4595583228567049493306386931388e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.742
y[1] (analytic) = 163.64639511820860987524357336846
y[1] (numeric) = 163.646395118208609871218339087
absolute error = 4.02523428146e-18
relative error = 2.4597146051108584203154107665785e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.743
y[1] (analytic) = 163.97401389185088904652831106166
y[1] (numeric) = 163.97401389185088904249476254311
absolute error = 4.03354851855e-18
relative error = 2.4598705751085218646815082839851e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.744
y[1] (analytic) = 164.30228856176736766904264060538
y[1] (numeric) = 164.30228856176736766500076120454
absolute error = 4.04187940084e-18
relative error = 2.4600262334876160605680199130077e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.745
y[1] (analytic) = 164.63122044105716310831930064058
y[1] (numeric) = 164.63122044105716310426907367894
absolute error = 4.05022696164e-18
relative error = 2.4601815808624833808159402489686e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.746
y[1] (analytic) = 164.9608108454482310994375781172
y[1] (numeric) = 164.96081084544823109537898688285
absolute error = 4.05859123435e-18
relative error = 2.4603366178604042894839584861269e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.747
y[1] (analytic) = 165.2910610933026286606005527862
y[1] (numeric) = 165.29106109330262865653358053378
absolute error = 4.06697225242e-18
relative error = 2.4604913450971779393791684849518e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.748
y[1] (analytic) = 165.62197250562178754312098632226
y[1] (numeric) = 165.62197250562178753904561627288
absolute error = 4.07537004938e-18
relative error = 2.4606457631952594472356948778738e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.749
y[1] (analytic) = 165.95354640605179823890966305202
y[1] (numeric) = 165.9535464060517982348258783932
absolute error = 4.08378465882e-18
relative error = 2.4607998727715513024050205107813e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.75
y[1] (analytic) = 166.28578412088870456660221928649
y[1] (numeric) = 166.28578412088870456251000317211
absolute error = 4.09221611438e-18
relative error = 2.4609536744313542659760610223135e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.751
y[1] (analytic) = 166.61868697908380885750281282455
y[1] (numeric) = 166.61868697908380885340214837473
absolute error = 4.10066444982e-18
relative error = 2.4611071688104047294827651414753e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.752
y[1] (analytic) = 166.95225631224898776256538347552
y[1] (numeric) = 166.95225631224898775845625377661
absolute error = 4.10912969891e-18
relative error = 2.4612603565085933613263717654516e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.753
y[1] (analytic) = 167.28649345466201870167573961391
y[1] (numeric) = 167.2864934546620186975581277184
absolute error = 4.11761189551e-18
relative error = 2.4614132381380539090452681840530e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.754
y[1] (analytic) = 167.62139974327191697654027499641
y[1] (numeric) = 167.62139974327191697241416392285
absolute error = 4.12611107356e-18
relative error = 2.4615658143169850194884494191977e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.755
y[1] (analytic) = 167.9569765177042835685297745122
y[1] (numeric) = 167.95697651770428356439514724515
absolute error = 4.13462726705e-18
relative error = 2.4617180856516373700371127152277e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.756
y[1] (analytic) = 168.29322512026666364286950737222
y[1] (numeric) = 168.29322512026666363872634686218
absolute error = 4.14316051004e-18
relative error = 2.4618700527482262131091472408088e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.757
y[1] (analytic) = 168.63014689595391578060963164246
y[1] (numeric) = 168.63014689595391577645792080578
absolute error = 4.15171083668e-18
relative error = 2.4620217162247016177735011914839e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.758
y[1] (analytic) = 168.96774319245359195985284516177
y[1] (numeric) = 168.96774319245359195569256688061
absolute error = 4.16027828116e-18
relative error = 2.4621730766809493772187576544247e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.759
y[1] (analytic) = 169.30601536015132830775921492824
y[1] (numeric) = 169.30601536015132830359035205049
absolute error = 4.16886287775e-18
relative error = 2.4623241347225064162985317449029e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.76
y[1] (analytic) = 169.64496475213624664489120016104
y[1] (numeric) = 169.64496475213624664071373550025
absolute error = 4.17746466079e-18
relative error = 2.4624748909545194519312697952905e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.761
y[1] (analytic) = 169.98459272420636684350505361988
y[1] (numeric) = 169.98459272420636683931896995519
absolute error = 4.18608366469e-18
relative error = 2.4626253459816584157809640272926e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.762
y[1] (analytic) = 170.32490063487403002143804156422
y[1] (numeric) = 170.32490063487403001724332164031
absolute error = 4.19471992391e-18
relative error = 2.4627755003962884641373320177483e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.763
y[1] (analytic) = 170.66588984537133259328426513204
y[1] (numeric) = 170.66588984537133258908089165903
absolute error = 4.20337347301e-18
relative error = 2.4629253548077994116817517538936e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.764
y[1] (analytic) = 171.00756171965557120059529508674
y[1] (numeric) = 171.00756171965557119638325074014
absolute error = 4.21204434660e-18
relative error = 2.4630749098131071459968582044670e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.765
y[1] (analytic) = 171.3499176244146985428853479948
y[1] (numeric) = 171.34991762441469853866461541543
absolute error = 4.22073257937e-18
relative error = 2.4632241660141955302767723295335e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.766
y[1] (analytic) = 171.69295892907279013126433512919
y[1] (numeric) = 171.69295892907279012703489692312
absolute error = 4.22943820607e-18
relative error = 2.4633731240063267973114712687999e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=236.5MB, alloc=4.4MB, time=11.27
x[1] = 1.767
y[1] (analytic) = 172.03668700579552198656580591982
y[1] (numeric) = 172.0366870057955219823276446583
absolute error = 4.23816126152e-18
relative error = 2.4635217843838309054057736029037e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.768
y[1] (analytic) = 172.3811032294956593038805857664
y[1] (numeric) = 172.38110322949565929963368398578
absolute error = 4.24690178062e-18
relative error = 2.4636701477458256844764640031904e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.769
y[1] (analytic) = 172.72620897783855610545077366637
y[1] (numeric) = 172.72620897783855610119511386806
absolute error = 4.25565979831e-18
relative error = 2.4638182146729207096234154812731e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.77
y[1] (analytic) = 173.07200563124766590392271856698
y[1] (numeric) = 173.07200563124766589965828321735
absolute error = 4.26443534963e-18
relative error = 2.4639659857619793716557015882357e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.771
y[1] (analytic) = 173.41849457291006339800163480076
y[1] (numeric) = 173.41849457291006339372840633105
absolute error = 4.27322846971e-18
relative error = 2.4641134616201003364921335788708e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.772
y[1] (analytic) = 173.76567718878197722259464658514
y[1] (numeric) = 173.76567718878197721831260739146
absolute error = 4.28203919368e-18
relative error = 2.4642606428126309631217300717559e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.773
y[1] (analytic) = 174.11355486759433377557326953564
y[1] (numeric) = 174.11355486759433377128240197881
absolute error = 4.29086755683e-18
relative error = 2.4644075299553875679135778124647e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.774
y[1] (analytic) = 174.46212900085831214333064363389
y[1] (numeric) = 174.46212900085831213903093003946
absolute error = 4.29971359443e-18
relative error = 2.4645541236108877432523431082949e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.775
y[1] (analytic) = 174.81140098287091014735322728645
y[1] (numeric) = 174.81140098287091014304464994457
absolute error = 4.30857734188e-18
relative error = 2.4647004243745982850910801058867e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.776
y[1] (analytic) = 175.16137221072052153407114618224
y[1] (numeric) = 175.16137221072052152975368734759
absolute error = 4.31745883465e-18
relative error = 2.4648464328402627159743015210158e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.777
y[1] (analytic) = 175.51204408429252433029596378638
y[1] (numeric) = 175.51204408429252432596960567814
absolute error = 4.32635810824e-18
relative error = 2.4649921495770375123532207161274e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.778
y[1] (analytic) = 175.86341800627488038659930267276
y[1] (numeric) = 175.86341800627488038226402747449
absolute error = 4.33527519827e-18
relative error = 2.4651375751808233169858491424714e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.779
y[1] (analytic) = 176.2154953821637461310304976756
y[1] (numeric) = 176.21549538216374612668628753521
absolute error = 4.34421014039e-18
relative error = 2.4652827102228344005116115942657e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.78
y[1] (analytic) = 176.56827762026909455561630321199
y[1] (numeric) = 176.56827762026909455126314024163
absolute error = 4.35316297036e-18
relative error = 2.4654275552950628984427632444976e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.781
y[1] (analytic) = 176.92176613172034845813060826985
y[1] (numeric) = 176.92176613172034845376847454588
absolute error = 4.36213372397e-18
relative error = 2.4655721109647638402788305893984e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.782
y[1] (analytic) = 177.27596233047202496166713365146
y[1] (numeric) = 177.27596233047202495729601121435
absolute error = 4.37112243711e-18
relative error = 2.4657163778140982004239687641418e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.783
y[1] (analytic) = 177.63086763330939133459319728921
y[1] (numeric) = 177.63086763330939133021306814347
absolute error = 4.38012914574e-18
relative error = 2.4658603564230054597303934410464e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.784
y[1] (analytic) = 177.98648345985413213350783498975
y[1] (numeric) = 177.98648345985413212911868110386
absolute error = 4.38915388589e-18
relative error = 2.4660040473691356042995040339908e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.785
y[1] (analytic) = 178.34281123257002769187285599526
y[1] (numeric) = 178.34281123257002768747465930161
absolute error = 4.39819669365e-18
relative error = 2.4661474512221746856789039282914e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.786
y[1] (analytic) = 178.69985237676864397703079545734
y[1] (numeric) = 178.69985237676864397262353785216
absolute error = 4.40725760518e-18
relative error = 2.4662905685494302862337616072218e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.787
y[1] (analytic) = 179.05760832061503383836919948188
y[1] (numeric) = 179.05760832061503383395286282513
absolute error = 4.41633665675e-18
relative error = 2.4664333999381046798009307431756e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.788
y[1] (analytic) = 179.41608049513344966943624300353
y[1] (numeric) = 179.41608049513344966501080911886
absolute error = 4.42543388467e-18
relative error = 2.4665759459559909179107986321989e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.789
y[1] (analytic) = 179.77527033421306750685833656936
y[1] (numeric) = 179.77527033421306750242378724404
absolute error = 4.43454932532e-18
relative error = 2.4667182071682636955977121767575e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.79
y[1] (analytic) = 180.13517927461372258895612533416
y[1] (numeric) = 180.13517927461372258451244231899
absolute error = 4.44368301517e-18
relative error = 2.4668601841485184952379430529760e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.791
y[1] (analytic) = 180.49580875597165639700112237872
y[1] (numeric) = 180.49580875597165639254828738797
absolute error = 4.45283499075e-18
relative error = 2.4670018774619768696265663664161e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.792
y[1] (analytic) = 180.85716022080527520210114904048
y[1] (numeric) = 180.85716022080527519763914375182
absolute error = 4.46200528866e-18
relative error = 2.4671432876710092506306424340686e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.793
y[1] (analytic) = 181.2192351145209201407487774763
y[1] (numeric) = 181.2192351145209201362775835307
absolute error = 4.47119394560e-18
relative error = 2.4672844153516282005329188694012e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.794
y[1] (analytic) = 181.58203488541864884211308534452
y[1] (numeric) = 181.58203488541864883763268434622
absolute error = 4.48040099830e-18
relative error = 2.4674252610547123799595636816336e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.795
y[1] (analytic) = 181.9455609846980286302012394823
y[1] (numeric) = 181.9455609846980286257116129987
absolute error = 4.48962648360e-18
relative error = 2.4675658253501365807578105107775e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=240.3MB, alloc=4.4MB, time=11.46
TOP MAIN SOLVE Loop
x[1] = 1.796
y[1] (analytic) = 182.3098148664639413240627249487
y[1] (numeric) = 182.30981486646394131956385451028
absolute error = 4.49887043842e-18
relative error = 2.4677061088100371762267762608573e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.797
y[1] (analytic) = 182.67479798773239965925542799018
y[1] (numeric) = 182.67479798773239965474729509047
absolute error = 4.50813289971e-18
relative error = 2.4678461119813284249765384264961e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.798
y[1] (analytic) = 183.04051180843637535383926654819
y[1] (numeric) = 183.04051180843637534932185264366
absolute error = 4.51741390453e-18
relative error = 2.4679858354295704341685388571380e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.799
y[1] (analytic) = 183.406957791431638842209640054
y[1] (numeric) = 183.406957791431638837682926564
absolute error = 4.52671349000e-18
relative error = 2.4681252797114319115500857008521e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.8
y[1] (analytic) = 183.77413740250261070012964163096
y[1] (numeric) = 183.77413740250261069559360993763
absolute error = 4.53603169333e-18
relative error = 2.4682644453910134092035460389539e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.801
y[1] (analytic) = 184.14205211036822478436674063484
y[1] (numeric) = 184.14205211036822477982137208305
absolute error = 4.54536855179e-18
relative error = 2.4684033330233916698310401909099e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.802
y[1] (analytic) = 184.51070338668780311038650189665
y[1] (numeric) = 184.51070338668780310583177779394
absolute error = 4.55472410271e-18
relative error = 2.4685419431546198114897186528240e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.803
y[1] (analytic) = 184.88009270606694249160286027592
y[1] (numeric) = 184.88009270606694248703876189239
absolute error = 4.56409838353e-18
relative error = 2.4686802763487723994052159036039e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.804
y[1] (analytic) = 185.25022154606341296373151537426
y[1] (numeric) = 185.25022154606341295915802394253
absolute error = 4.57349143173e-18
relative error = 2.4688183331498893867054585628955e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.805
y[1] (analytic) = 185.62109138719306801784015168763
y[1] (numeric) = 185.62109138719306801325724840273
absolute error = 4.58290328490e-18
relative error = 2.4689561141197974500244207389152e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.806
y[1] (analytic) = 185.99270371293576666573642427823
y[1] (numeric) = 185.99270371293576666114409029755
absolute error = 4.59233398068e-18
relative error = 2.4690936198055837018209679699509e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.807
y[1] (analytic) = 186.3650600097413073613819794142
y[1] (numeric) = 186.36506000974130735678019585739
absolute error = 4.60178355681e-18
relative error = 2.4692308507664819968747198701187e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.808
y[1] (analytic) = 186.73816176703537380206820374505
y[1] (numeric) = 186.738161767035373797456951694
absolute error = 4.61125205105e-18
relative error = 2.4693678075308214087842644543591e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.809
y[1] (analytic) = 187.11201047722549263313691464366
y[1] (numeric) = 187.11201047722549262851617514235
absolute error = 4.62073950131e-18
relative error = 2.4695044906657221141620300194252e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.81
y[1] (analytic) = 187.48660763570700308007681854096
y[1] (numeric) = 187.48660763570700307544657259544
absolute error = 4.63024594552e-18
relative error = 2.4696409007072808370114294753697e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.811
y[1] (analytic) = 187.861954740869038531874273599
y[1] (numeric) = 187.86195474086903852723450217728
absolute error = 4.63977142172e-18
relative error = 2.4697770382086979693302978424304e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.812
y[1] (analytic) = 188.23805329410052009954469810054
y[1] (numeric) = 188.23805329410052009489538213255
absolute error = 4.64931596799e-18
relative error = 2.4699129037028306408397713756812e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.813
y[1] (analytic) = 188.61490479979616217381886667252
y[1] (numeric) = 188.61490479979616216915998704998
absolute error = 4.65887962254e-18
relative error = 2.4700484977500224007553794262025e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.814
y[1] (analytic) = 188.9925107653624900060063330957
y[1] (numeric) = 188.99251076536249000133787067211
absolute error = 4.66846242359e-18
relative error = 2.4701838208742450168164712465244e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.815
y[1] (analytic) = 189.37087270122386933610631117797
y[1] (numeric) = 189.37087270122386933142824676848
absolute error = 4.67806440949e-18
relative error = 2.4703188736267393907413912025584e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.816
y[1] (analytic) = 189.74999212082854809228453417398
y[1] (numeric) = 189.74999212082854808759684855532
absolute error = 4.68768561866e-18
relative error = 2.4704536565540338549753442986548e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.817
y[1] (analytic) = 190.12987054065471018588289871436
y[1] (numeric) = 190.1298705406547101811855726248
absolute error = 4.69732608956e-18
relative error = 2.4705881701821227188632365006389e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.818
y[1] (analytic) = 190.51050948021654142617708135482
y[1] (numeric) = 190.51050948021654142147009549406
absolute error = 4.70698586076e-18
relative error = 2.4707224150533251003962234023210e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.819
y[1] (analytic) = 190.8919104620703075791457948634
y[1] (numeric) = 190.89191046207030757442912989249
absolute error = 4.71666497091e-18
relative error = 2.4708563917103172528291815140172e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.82
y[1] (analytic) = 191.27407501182044459456392742698
y[1] (numeric) = 191.27407501182044458983756396828
absolute error = 4.72636345870e-18
relative error = 2.4709901006751270313096728861082e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.821
y[1] (analytic) = 191.65700465812566102578048127006
y[1] (numeric) = 191.65700465812566102104439990709
absolute error = 4.73608136297e-18
relative error = 2.4711235425066447616568506160036e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.822
y[1] (analytic) = 192.04070093270505266659099793382
y[1] (numeric) = 192.04070093270505266184517921128
absolute error = 4.74581872254e-18
relative error = 2.4712567177116432764205449951529e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.823
y[1] (analytic) = 192.42516537034422942966302585846
y[1] (numeric) = 192.42516537034422942490745028206
absolute error = 4.75557557640e-18
relative error = 2.4713896268439479473800406977249e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.824
y[1] (analytic) = 192.81039950890145449102215213932
y[1] (numeric) = 192.81039950890145448625680017577
absolute error = 4.76535196355e-18
relative error = 2.4715222704208953054230908095683e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=244.1MB, alloc=4.4MB, time=11.64
TOP MAIN SOLVE Loop
x[1] = 1.825
y[1] (analytic) = 193.19640488931379572515518458697
y[1] (numeric) = 193.19640488931379572038003666386
absolute error = 4.77514792311e-18
relative error = 2.4716546489805442879432998913729e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.826
y[1] (analytic) = 193.58318305560328945533623270549
y[1] (numeric) = 193.58318305560328945055126921123
absolute error = 4.78496349426e-18
relative error = 2.4717867630503860717190541750415e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.827
y[1] (analytic) = 193.97073555488311654383069711186
y[1] (numeric) = 193.9707355548831165390358983956
absolute error = 4.79479871626e-18
relative error = 2.4719186131576709037493091265944e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.828
y[1] (analytic) = 194.35906393736379084668153644706
y[1] (numeric) = 194.35906393736379084187688281861
absolute error = 4.80465362845e-18
relative error = 2.4720501998293213294853697874640e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.829
y[1] (analytic) = 194.74816975635936005783163917534
y[1] (numeric) = 194.74816975635936005301711090509
absolute error = 4.81452827025e-18
relative error = 2.4721815235918462723481417808866e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.83
y[1] (analytic) = 195.13805456829361896738568502882
y[1] (numeric) = 195.13805456829361896256126234766
absolute error = 4.82442268116e-18
relative error = 2.4723125849712559594761190001796e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.831
y[1] (analytic) = 195.52871993270633515886453742931
y[1] (numeric) = 195.52871993270633515403020052854
absolute error = 4.83433690077e-18
relative error = 2.4724433844980920268648883059050e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.832
y[1] (analytic) = 195.92016741225948717035496420576
y[1] (numeric) = 195.92016741225948716551069323704
absolute error = 4.84427096872e-18
relative error = 2.4725739226868765513165133695834e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.833
y[1] (analytic) = 196.31239857274351514450733952392
y[1] (numeric) = 196.31239857274351513965311459916
absolute error = 4.85422492476e-18
relative error = 2.4727042000667461896175535860161e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.834
y[1] (analytic) = 196.70541498308358399238393535296
y[1] (numeric) = 196.70541498308358398751973654427
absolute error = 4.86419880869e-18
relative error = 2.4728342171507149019521861827650e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.835
y[1] (analytic) = 197.09921821534585909621046621346
y[1] (numeric) = 197.09921821534585909133627355305
absolute error = 4.87419266041e-18
relative error = 2.4729639744611135311845449717540e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.836
y[1] (analytic) = 197.4938098447437945761337065802
y[1] (numeric) = 197.49380984474379457124950006029
absolute error = 4.88420651991e-18
relative error = 2.4730934725243444754175457795140e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.837
y[1] (analytic) = 197.8891914496444341461382563548
y[1] (numeric) = 197.88919144964443414124401592756
absolute error = 4.89424042724e-18
relative error = 2.4732227118555918155747823218054e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.838
y[1] (analytic) = 198.28536461157472458432588647631
y[1] (numeric) = 198.2853646115747245794215920538
absolute error = 4.90429442251e-18
relative error = 2.4733516929588440000973486713096e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.839
y[1] (analytic) = 198.68233091522784184281135420522
y[1] (numeric) = 198.68233091522784183789698565926
absolute error = 4.91436854596e-18
relative error = 2.4734804163621488468169869836577e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.84
y[1] (analytic) = 199.08009194846952982253913609879
y[1] (numeric) = 199.08009194846952981761467326089
absolute error = 4.92446283790e-18
relative error = 2.4736088825871460254039827342722e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.841
y[1] (analytic) = 199.47864930234445183837618639638
y[1] (numeric) = 199.47864930234445183344160905771
absolute error = 4.93457733867e-18
relative error = 2.4737370921289892778850835617328e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.842
y[1] (analytic) = 199.87800457108255479988658965466
y[1] (numeric) = 199.8780045710825547949418775659
absolute error = 4.94471208876e-18
relative error = 2.4738650455165583381364271600538e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.843
y[1] (analytic) = 200.27815935210544613324483921646
y[1] (numeric) = 200.27815935210544612828997208777
absolute error = 4.95486712869e-18
relative error = 2.4739927432521170788613203709647e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.844
y[1] (analytic) = 200.67911524603278346979543766939
y[1] (numeric) = 200.6791152460327834648303951703
absolute error = 4.96504249909e-18
relative error = 2.4741201858513544074388791043841e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.845
y[1] (analytic) = 201.08087385668867712681758205185
y[1] (numeric) = 201.08087385668867712184234381119
absolute error = 4.97523824066e-18
relative error = 2.4742473738232690606770994437004e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.846
y[1] (analytic) = 201.48343679110810540610486540208
y[1] (numeric) = 201.48343679110810540111941100789
absolute error = 4.98545439419e-18
relative error = 2.4743743076800736581923019063080e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.847
y[1] (analytic) = 201.88680565954334273602119752257
y[1] (numeric) = 201.88680565954334273102550652205
absolute error = 4.99569100052e-18
relative error = 2.4745009879172605996982474619500e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.848
y[1] (analytic) = 202.29098207547040068274552175462
y[1] (numeric) = 202.290982075470400677739573654
absolute error = 5.00594810062e-18
relative error = 2.4746274150532270264298096560020e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.849
y[1] (analytic) = 202.69596765559548185646938132964
y[1] (numeric) = 202.69596765559548185145315559413
absolute error = 5.01622573551e-18
relative error = 2.4747535895894896022132068166582e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.85
y[1] (analytic) = 203.1017640198614467383629686929
y[1] (numeric) = 203.1017640198614467333364447466
absolute error = 5.02652394630e-18
relative error = 2.4748795120304583488892854593239e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.851
y[1] (analytic) = 203.5083727914542934541769742863
y[1] (numeric) = 203.50837279145429344914013151211
absolute error = 5.03684277419e-18
relative error = 2.4750051828833190296743991965635e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.852
y[1] (analytic) = 203.91579559680965052039933783712
y[1] (numeric) = 203.91579559680965051535215557668
absolute error = 5.04718226044e-18
relative error = 2.4751306026432046131794923157083e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.853
y[1] (analytic) = 204.32403406561928258893789543706
y[1] (numeric) = 204.32403406561928258388035299063
absolute error = 5.05754244643e-18
relative error = 2.4752557718225918152578847810829e-18 %
Correct digits = 19
h = 0.001
memory used=247.9MB, alloc=4.4MB, time=11.82
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.854
y[1] (analytic) = 204.73308983083760921635190981607
y[1] (numeric) = 204.73308983083760921128398644248
absolute error = 5.06792337359e-18
relative error = 2.4753806909168484477774097270206e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.855
y[1] (analytic) = 205.14296452868823668370756942916
y[1] (numeric) = 205.14296452868823667862924434573
absolute error = 5.07832508343e-18
relative error = 2.4755053604189390385284924792641e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.856
y[1] (analytic) = 205.55365979867050289318474448708
y[1] (numeric) = 205.55365979867050288809599686951
absolute error = 5.08874761757e-18
relative error = 2.4756297808339549818668051185032e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.857
y[1] (analytic) = 205.96517728356603536761459508448
y[1] (numeric) = 205.96517728356603536251540406677
absolute error = 5.09919101771e-18
relative error = 2.4757539526643393076940978706563e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.858
y[1] (analytic) = 206.37751862944532237918003831992
y[1] (numeric) = 206.37751862944532237407038299432
absolute error = 5.10965532560e-18
relative error = 2.4758778763952876491173253589168e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.859
y[1] (analytic) = 206.79068548567429723356359797126
y[1] (numeric) = 206.79068548567429722844345738814
absolute error = 5.12014058312e-18
relative error = 2.4760015525335180645301852638108e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.86
y[1] (analytic) = 207.20467950492093573587978209666
y[1] (numeric) = 207.20467950492093573074913526447
absolute error = 5.13064683219e-18
relative error = 2.4761249815635324398729100450452e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.861
y[1] (analytic) = 207.61950234316186686478186108756
y[1] (numeric) = 207.6195023431618668596406869727
absolute error = 5.14117411486e-18
relative error = 2.4762481639910977978568043021705e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.862
y[1] (analytic) = 208.03515565968899668118575141472
y[1] (numeric) = 208.0351556596889966760340289415
absolute error = 5.15172247322e-18
relative error = 2.4763711002996836444927670455871e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.863
y[1] (analytic) = 208.45164111711614549810664879501
y[1] (numeric) = 208.45164111711614549294435684554
absolute error = 5.16229194947e-18
relative error = 2.4764937909841764826880852972471e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.864
y[1] (analytic) = 208.86896038138569833815709897483
y[1] (numeric) = 208.86896038138569833298421638895
absolute error = 5.17288258588e-18
relative error = 2.4766162365315266907768642703682e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.865
y[1] (analytic) = 209.28711512177526870530834498982
y[1] (numeric) = 209.287115121775268700124850565
absolute error = 5.18349442482e-18
relative error = 2.4767384374350733979422403337440e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.866
y[1] (analytic) = 209.70610701090437569757004683129
y[1] (numeric) = 209.70610701090437569237591932255
absolute error = 5.19412750874e-18
relative error = 2.4768603941848550157453302035767e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.867
y[1] (analytic) = 210.12593772474113448729683314098
y[1] (numeric) = 210.1259377247411344820920512608
absolute error = 5.20478188018e-18
relative error = 2.4769821072723124964374534016183e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.868
y[1] (analytic) = 210.54660894260896019588361508108
y[1] (numeric) = 210.54660894260896019066815749935
absolute error = 5.21545758173e-18
relative error = 2.4771035771711884944029222627055e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.869
y[1] (analytic) = 210.96812234719328518966517009931
y[1] (numeric) = 210.9681223471932851844390154432
absolute error = 5.22615465611e-18
relative error = 2.4772248043755358547275311530988e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.87
y[1] (analytic) = 211.3904796245482898238891881436
y[1] (numeric) = 211.39047962454828981865231499749
absolute error = 5.23687314611e-18
relative error = 2.4773457893710431676816541596625e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.871
y[1] (analytic) = 211.8136824641036466616857651931
y[1] (numeric) = 211.8136824641036466564381520985
absolute error = 5.24761309460e-18
relative error = 2.4774665326397505696521031049536e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.872
y[1] (analytic) = 212.23773255867127819501022897564
y[1] (numeric) = 212.23773255867127818975185443109
absolute error = 5.25837454455e-18
relative error = 2.4775870346694210080507713066509e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.873
y[1] (analytic) = 212.6626316044521280945901896533
y[1] (numeric) = 212.66263160445212808932103211432
absolute error = 5.26915753898e-18
relative error = 2.4777072959298831969199589174786e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.874
y[1] (analytic) = 213.08838130104294601596182429268
y[1] (numeric) = 213.08838130104294601068186217163
absolute error = 5.27996212105e-18
relative error = 2.4778273169153580682419954668075e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.875
y[1] (analytic) = 213.51498335144308598873462831122
y[1] (numeric) = 213.51498335144308598344383997726
absolute error = 5.29078833396e-18
relative error = 2.4779470980972919587936270535346e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.876
y[1] (analytic) = 213.94243946206131841627820002338
y[1] (numeric) = 213.94243946206131841097656380235
absolute error = 5.30163622103e-18
relative error = 2.4780666399618883526695387331512e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.877
y[1] (analytic) = 214.37075134272265571307906611621
y[1] (numeric) = 214.37075134272265570776656029057
absolute error = 5.31250582564e-18
relative error = 2.4781859429818834392683905506753e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.878
y[1] (analytic) = 214.79992070667519160707010658268
y[1] (numeric) = 214.79992070667519160174670939141
absolute error = 5.32339719127e-18
relative error = 2.4783050076352138951849883238541e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.879
y[1] (analytic) = 215.22994927059695413428979754942
y[1] (numeric) = 215.22994927059695412895548718793
absolute error = 5.33431036149e-18
relative error = 2.4784238344002305151197623094148e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.88
y[1] (analytic) = 215.66083875460277235328325977316
y[1] (numeric) = 215.6608387546027723479380143932
absolute error = 5.34524537996e-18
relative error = 2.4785424237556056220035359416850e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.881
y[1] (analytic) = 216.09259088225115680671197956578
y[1] (numeric) = 216.09259088225115680135577727537
absolute error = 5.35620229041e-18
relative error = 2.4786607761709860707936581442494e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=251.7MB, alloc=4.4MB, time=12.00
x[1] = 1.882
y[1] (analytic) = 216.5252073805511937576940577607
y[1] (numeric) = 216.52520738055119375232687662405
absolute error = 5.36718113665e-18
relative error = 2.4787788921116132845703790891491e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.883
y[1] (analytic) = 216.95868997996945322845194127406
y[1] (numeric) = 216.95868997996945322307375931143
absolute error = 5.37818196263e-18
relative error = 2.4788967720659341081691920266301e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.884
y[1] (analytic) = 217.39304041443691086889980106206
y[1] (numeric) = 217.39304041443691086351059624973
absolute error = 5.38920481233e-18
relative error = 2.4790144164946813533150651703260e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.885
y[1] (analytic) = 217.82826042135588368285804005354
y[1] (numeric) = 217.82826042135588367745779032369
absolute error = 5.40024972985e-18
relative error = 2.4791318258723786286648323682108e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.886
y[1] (analytic) = 218.26435174160697963963784516307
y[1] (numeric) = 218.2643517416069796342265284037
absolute error = 5.41131675937e-18
relative error = 2.4792490006687882660207276177466e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.887
y[1] (analytic) = 218.70131611955606119879423898918
y[1] (numeric) = 218.70131611955606119337183304402
absolute error = 5.42240594516e-18
relative error = 2.4793659413534428561981844582833e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.888
y[1] (analytic) = 219.13915530306122277590173949448
y[1] (numeric) = 219.13915530306122277046822216291
absolute error = 5.43351733157e-18
relative error = 2.4794826483909959255204463167789e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.889
y[1] (analytic) = 219.5778710434797821772625000737
y[1] (numeric) = 219.57787104347978217181784911065
absolute error = 5.44465096305e-18
relative error = 2.4795991222502907420831403794191e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.89
y[1] (analytic) = 220.01746509567528603151267816406
y[1] (numeric) = 220.01746509567528602605687127994
absolute error = 5.45580688412e-18
relative error = 2.4797153633905950299485016728763e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.891
y[1] (analytic) = 220.45793921802452924614876816406
y[1] (numeric) = 220.45793921802452924068178302464
absolute error = 5.46698513942e-18
relative error = 2.4798313722842883532894088251978e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.892
y[1] (analytic) = 220.89929517242458851705173412524
y[1] (numeric) = 220.89929517242458851157354835158
absolute error = 5.47818577366e-18
relative error = 2.4799471493940084019811049079480e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.893
y[1] (analytic) = 221.34153472429986991914298969156
y[1] (numeric) = 221.3415347242998699136535808599
absolute error = 5.48940883166e-18
relative error = 2.4800626951907314082409588374714e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.894
y[1] (analytic) = 221.78465964260917060636259730694
y[1] (numeric) = 221.78465964260917060086194294867
absolute error = 5.50065435827e-18
relative error = 2.4801780101175296617888953337798e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.895
y[1] (analytic) = 222.22867169985275464921649601964
y[1] (numeric) = 222.22867169985275464370457362113
absolute error = 5.51192239851e-18
relative error = 2.4802930946527599283975203109502e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.896
y[1] (analytic) = 222.67357267207944303819611750645
y[1] (numeric) = 222.67357267207944303267290450901
absolute error = 5.52321299744e-18
relative error = 2.4804079492512421139932626556857e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.897
y[1] (analytic) = 223.11936433889371788143041344886
y[1] (numeric) = 223.11936433889371787589588724864
absolute error = 5.53452620022e-18
relative error = 2.4805225743712969820158423782368e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.898
y[1] (analytic) = 223.56604848346284082498709434139
y[1] (numeric) = 223.56604848346284081944123228928
absolute error = 5.54586205211e-18
relative error = 2.4806369704746232451130012889970e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.899
y[1] (analytic) = 224.01362689252398572429677042828
y[1] (numeric) = 224.01362689252398571873954982984
absolute error = 5.55722059844e-18
relative error = 2.4807511380127836808942385080020e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.9
y[1] (analytic) = 224.46210135639138559523068997538
y[1] (numeric) = 224.46210135639138558966208809074
absolute error = 5.56860188464e-18
relative error = 2.4808650774405834220367169566479e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.901
y[1] (analytic) = 224.9114736689634938734198887175
y[1] (numeric) = 224.91147366896349386783988276124
absolute error = 5.58000595626e-18
relative error = 2.4809787892248420823525648254538e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.902
y[1] (analytic) = 225.36174562773016001046079730594
y[1] (numeric) = 225.36174562773016000486936444704
absolute error = 5.59143285890e-18
relative error = 2.4810922738131245387657489065278e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.903
y[1] (analytic) = 225.81291903377981943570970114648
y[1] (numeric) = 225.8129190337798194301068185082
absolute error = 5.60288263828e-18
relative error = 2.4812055316648438752854414168612e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.904
y[1] (analytic) = 226.26499569180669791242590939188
y[1] (numeric) = 226.26499569180669790681155405169
absolute error = 5.61435534019e-18
relative error = 2.4813185632289572600647752720887e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.905
y[1] (analytic) = 226.71797741011803031708106726766
y[1] (numeric) = 226.71797741011803031145521625714
absolute error = 5.62585101052e-18
relative error = 2.4814313689572144276686500154178e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.906
y[1] (analytic) = 227.17186600064129387070973859332
y[1] (numeric) = 227.17186600064129386507236889808
absolute error = 5.63736969524e-18
relative error = 2.4815439492952379986851898533044e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.907
y[1] (analytic) = 227.62666327893145585123419354572
y[1] (numeric) = 227.62666327893145584558528210527
absolute error = 5.64891144045e-18
relative error = 2.4816563047044624733016897679351e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.908
y[1] (analytic) = 228.08237106417823581575426062723
y[1] (numeric) = 228.08237106417823581009378433492
absolute error = 5.66047629231e-18
relative error = 2.4817684356311978188702950557837e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.909
y[1] (analytic) = 228.53899117921338236185114168122
y[1] (numeric) = 228.53899117921338235617907738416
absolute error = 5.67206429706e-18
relative error = 2.4818803425154433678252205610166e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.91
y[1] (analytic) = 228.99652545051796445701224487243
y[1] (numeric) = 228.99652545051796445132856937136
absolute error = 5.68367550107e-18
relative error = 2.4819920258126973967501357323911e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=255.5MB, alloc=4.4MB, time=12.19
x[1] = 1.911
y[1] (analytic) = 229.45497570822967736534236305322
y[1] (numeric) = 229.45497570822967735964705310243
absolute error = 5.69530995079e-18
relative error = 2.4821034859719238989815442138402e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.912
y[1] (analytic) = 229.91434378615016320078491410178
y[1] (numeric) = 229.91434378615016319507794640904
absolute error = 5.70696769274e-18
relative error = 2.4822147234311801507537376003388e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.913
y[1] (analytic) = 230.37463152175234613613546587802
y[1] (numeric) = 230.37463152175234613041681710446
absolute error = 5.71864877356e-18
relative error = 2.4823257386393414211949760853046e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.914
y[1] (analytic) = 230.83584075618778229718839163134
y[1] (numeric) = 230.83584075618778229145803839137
absolute error = 5.73035323997e-18
relative error = 2.4824365320385769564389361400323e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.915
y[1] (analytic) = 231.29797333429402437141624224698
y[1] (numeric) = 231.29797333429402436567416110818
absolute error = 5.74208113880e-18
relative error = 2.4825471040772991896751059302801e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.916
y[1] (analytic) = 231.76103110460200096064027986774
y[1] (numeric) = 231.76103110460200095488644735078
absolute error = 5.75383251696e-18
relative error = 2.4826574551970691849680950743515e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.917
y[1] (analytic) = 232.22501591934341070720959341249
y[1] (numeric) = 232.22501591934341070144398599105
absolute error = 5.76560742144e-18
relative error = 2.4827675858325769928247132351983e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.918
y[1] (analytic) = 232.68992963445813122326531056666
y[1] (numeric) = 232.68992963445813121748790466731
absolute error = 5.77740589935e-18
relative error = 2.4828774964288127122144418064618e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.919
y[1] (analytic) = 233.15577410960164285272563318019
y[1] (numeric) = 233.1557741096016428469364051823
absolute error = 5.78922799789e-18
relative error = 2.4829871874280090746353192482002e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.92
y[1] (analytic) = 233.62255120815246729568675391135
y[1] (numeric) = 233.62255120815246728988568014702
absolute error = 5.80107376433e-18
relative error = 2.4830966592610201565735897929112e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.921
y[1] (analytic) = 234.09026279721962112499416163845
y[1] (numeric) = 234.09026279721962111918121839238
absolute error = 5.81294324607e-18
relative error = 2.4832059123729782632421882510607e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.922
y[1] (analytic) = 234.55891074765008422479841186244
y[1] (numeric) = 234.55891074765008421897357537186
absolute error = 5.82483649058e-18
relative error = 2.4833149471974838669360305520365e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.923
y[1] (analytic) = 235.02849693403628318096912628161
y[1] (numeric) = 235.02849693403628317513237273616
absolute error = 5.83675354545e-18
relative error = 2.4834237641779067409084573651484e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.924
y[1] (analytic) = 235.49902323472358965330079317206
y[1] (numeric) = 235.49902323472358964745209871373
absolute error = 5.84869445833e-18
relative error = 2.4835323637417229054168758377231e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.925
y[1] (analytic) = 235.97049153181783375950386739518
y[1] (numeric) = 235.97049153181783375364320811821
absolute error = 5.86065927697e-18
relative error = 2.4836407463175366213759761684492e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.926
y[1] (analytic) = 236.44290371119283250103471601424
y[1] (numeric) = 236.44290371119283249516206796497
absolute error = 5.87264804927e-18
relative error = 2.4837489123561284298733246328381e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.927
y[1] (analytic) = 236.9162616624979332608781228777
y[1] (numeric) = 236.91626166249793325499346205456
absolute error = 5.88466082314e-18
relative error = 2.4838568622710534935783806711593e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.928
y[1] (analytic) = 237.39056727916557240345635335758
y[1] (numeric) = 237.39056727916557239755965571092
absolute error = 5.89669764666e-18
relative error = 2.4839645965063245397884382249129e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.929
y[1] (analytic) = 237.86582245841884900689918895686
y[1] (numeric) = 237.86582245841884900099043038888
absolute error = 5.90875856798e-18
relative error = 2.4840721154939801312233771815627e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.93
y[1] (analytic) = 238.3420291012791137579698709647
y[1] (numeric) = 238.34202910127911375204902732937
absolute error = 5.92084363533e-18
relative error = 2.4841794196583117531537766190265e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.931
y[1] (analytic) = 238.8191891125735730400025429816
y[1] (numeric) = 238.81918911257357303406959008455
absolute error = 5.93295289705e-18
relative error = 2.4842865094284152819000123399493e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.932
y[1] (analytic) = 239.29730440094290824426755420314
y[1] (numeric) = 239.29730440094290823832246780156
absolute error = 5.94508640158e-18
relative error = 2.4843933852338766461886613711047e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.933
y[1] (analytic) = 239.77637687884891033524187908253
y[1] (numeric) = 239.77637687884891032928463488507
absolute error = 5.95724419746e-18
relative error = 2.4845000475046792788404472815345e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.934
y[1] (analytic) = 240.25640846258212970032292463312
y[1] (numeric) = 240.25640846258212969435349829981
absolute error = 5.96942633331e-18
relative error = 2.4846064966627880131566323820715e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.935
y[1] (analytic) = 240.73740107226954131458513442591
y[1] (numeric) = 240.73740107226954130860350156803
absolute error = 5.98163285788e-18
relative error = 2.4847127331429109782457635115567e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.936
y[1] (analytic) = 241.2193566318822252512400585286
y[1] (numeric) = 241.21935663188222524524619470862
absolute error = 5.99386381998e-18
relative error = 2.4848187573632656338377695030064e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.937
y[1] (analytic) = 241.70227706924306256852194146728
y[1] (numeric) = 241.70227706924306256251582219876
absolute error = 6.00611926852e-18
relative error = 2.4849245697422048388037446810666e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.938
y[1] (analytic) = 242.18616431603444660378238601426
y[1] (numeric) = 242.18616431603444659776398676172
absolute error = 6.01839925254e-18
relative error = 2.4850301707105153422629023995129e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.939
y[1] (analytic) = 242.67102030780600970563927946228
y[1] (numeric) = 242.67102030780600969960857564111
absolute error = 6.03070382117e-18
relative error = 2.4851355606947230018853127951350e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=259.4MB, alloc=4.4MB, time=12.37
TOP MAIN SOLVE Loop
x[1] = 1.94
y[1] (analytic) = 243.15684698398236543508692128326
y[1] (numeric) = 243.15684698398236542904388825966
absolute error = 6.04303302360e-18
relative error = 2.4852407401047097718816503680320e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.941
y[1] (analytic) = 243.64364628787086626653616693516
y[1] (numeric) = 243.64364628787086626048078002598
absolute error = 6.05538690918e-18
relative error = 2.4853457093748358111109828719365e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.942
y[1] (analytic) = 244.13142016666937681981540232069
y[1] (numeric) = 244.1314201666693768137476367934
absolute error = 6.06776552729e-18
relative error = 2.4854504689103578688486417600177e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.943
y[1] (analytic) = 244.62017057147406265422528726664
y[1] (numeric) = 244.62017057147406264814511833917
absolute error = 6.08016892747e-18
relative error = 2.4855550191407755757058802040182e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.944
y[1] (analytic) = 245.10989945728719465580245462738
y[1] (numeric) = 245.10989945728719464970985746806
absolute error = 6.09259715932e-18
relative error = 2.4856593604787043063354911709652e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.945
y[1] (analytic) = 245.6006087830249690490097244735
y[1] (numeric) = 245.60060878302496904290467420094
absolute error = 6.10505027256e-18
relative error = 2.4857634933443858476150595744131e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.946
y[1] (analytic) = 246.09230051152534306413289055298
y[1] (numeric) = 246.09230051152534305801536223597
absolute error = 6.11752831701e-18
relative error = 2.4858674181573979198661914167776e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.947
y[1] (analytic) = 246.58497660955588629172675905958
y[1] (numeric) = 246.58497660955588628559672771701
absolute error = 6.13003134257e-18
relative error = 2.4859711353284624336123741692870e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.948
y[1] (analytic) = 247.07863904782164775551586796121
y[1] (numeric) = 247.07863904782164774937330856196
absolute error = 6.14255939925e-18
relative error = 2.4860746452715882655477272699277e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.949
y[1] (analytic) = 247.57328980097303873521818898044
y[1] (numeric) = 247.57328980097303872906307644327
absolute error = 6.15511253717e-18
relative error = 2.4861779484039511783938723887516e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.95
y[1] (analytic) = 248.06893084761373137082311403248
y[1] (numeric) = 248.06893084761373136465542322594
absolute error = 6.16769080654e-18
relative error = 2.4862810451377125143978071229960e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.951
y[1] (analytic) = 248.565564170308573079918153764
y[1] (numeric) = 248.56556417030857307373785950634
absolute error = 6.18029425766e-18
relative error = 2.4863839358799817490062686050780e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.952
y[1] (analytic) = 249.06319175559151681972202805226
y[1] (numeric) = 249.06319175559151681352910511128
absolute error = 6.19292294098e-18
relative error = 2.4864866210568698706012094598120e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.953
y[1] (analytic) = 249.5618155939735672255452071703
y[1] (numeric) = 249.56181559397356721933963026333
absolute error = 6.20557690697e-18
relative error = 2.4865891010611210750273000543009e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.954
y[1] (analytic) = 250.06143767995074265746246805568
y[1] (numeric) = 250.06143767995074265124421184939
absolute error = 6.21825620629e-18
relative error = 2.4866913763203414363769986696260e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.955
y[1] (analytic) = 250.5620600120120531870456629885
y[1] (numeric) = 250.56206001201205318081470209888
absolute error = 6.23096088962e-18
relative error = 2.4867934472287165297359545370535e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.956
y[1] (analytic) = 251.06368459264749455606865824766
y[1] (numeric) = 251.06368459264749454982496723986
absolute error = 6.24369100780e-18
relative error = 2.4868953142030199907938619057818e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.957
y[1] (analytic) = 251.56631342835605813916028822321
y[1] (numeric) = 251.56631342835605813290384161147
absolute error = 6.25644661174e-18
relative error = 2.4869969776465252644988643772917e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.958
y[1] (analytic) = 252.06994852965375694244518627698
y[1] (numeric) = 252.0699485296537569361759585245
absolute error = 6.26922775248e-18
relative error = 2.4870984379728557267048350707803e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.959
y[1] (analytic) = 252.57459191108166767027649761579
y[1] (numeric) = 252.57459191108166766399446313467
absolute error = 6.28203448112e-18
relative error = 2.4871996955780795603613161731864e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.96
y[1] (analytic) = 253.0802455912139888922287518312
y[1] (numeric) = 253.0802455912139888859338849823
absolute error = 6.29486684890e-18
relative error = 2.4873007508724080834602001172962e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.961
y[1] (analytic) = 253.58691159266611534258357382118
y[1] (numeric) = 253.58691159266611533627584891404
absolute error = 6.30772490714e-18
relative error = 2.4874016042563070375051972328334e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.962
y[1] (analytic) = 254.09459194210272838460544180254
y[1] (numeric) = 254.09459194210272837828483309525
absolute error = 6.32060870729e-18
relative error = 2.4875022561401841789991933765123e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.963
y[1] (analytic) = 254.60328867024590267196936030426
y[1] (numeric) = 254.60328867024590266563584200339
absolute error = 6.33351830087e-18
relative error = 2.4876027069206367759506050135064e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.964
y[1] (analytic) = 255.11300381188322903976710466143
y[1] (numeric) = 255.1130038118832290334206509219
absolute error = 6.34645373953e-18
relative error = 2.4877029570040210391620002563472e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.965
y[1] (analytic) = 255.62373940587595365758361186515
y[1] (numeric) = 255.62373940587595365122419679015
absolute error = 6.35941507500e-18
relative error = 2.4878030067867076387152019656214e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.966
y[1] (analytic) = 256.13549749516713347720014092637
y[1] (numeric) = 256.13549749516713347082773856724
absolute error = 6.37240235913e-18
relative error = 2.4879028566707107921578968734686e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.967
y[1] (analytic) = 256.64828012678980800754600444
y[1] (numeric) = 256.64828012678980800116058879613
absolute error = 6.38541564387e-18
relative error = 2.4880025070557520970259690357461e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.968
y[1] (analytic) = 257.16208935187518744958598205211
y[1] (numeric) = 257.16208935187518744318752707084
absolute error = 6.39845498127e-18
relative error = 2.4881019583391961675024088669022e-18 %
Correct digits = 19
h = 0.001
memory used=263.2MB, alloc=4.4MB, time=12.55
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.969
y[1] (analytic) = 257.6769272256608572238959662973
y[1] (numeric) = 257.6769272256608572174844458738
absolute error = 6.41152042350e-18
relative error = 2.4882012109237486435772765365829e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.97
y[1] (analytic) = 258.19279580749899892374496204819
y[1] (numeric) = 258.19279580749899891732035002539
absolute error = 6.42461202280e-18
relative error = 2.4883002651979503410657373064801e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.971
y[1] (analytic) = 258.70969716086462772656726286636
y[1] (numeric) = 258.7096971608646277201295330348
absolute error = 6.43772983156e-18
relative error = 2.4883991215671540973355272493110e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.972
y[1] (analytic) = 259.22763335336384629677446112656
y[1] (numeric) = 259.22763335336384629032358722433
absolute error = 6.45087390223e-18
relative error = 2.4884977804185514929664715447136e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.973
y[1] (analytic) = 259.74660645674211521292291416762
y[1] (numeric) = 259.74660645674211520645886988021
absolute error = 6.46404428741e-18
relative error = 2.4885962421559159408103127606051e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.974
y[1] (analytic) = 260.26661854689253995231838616684
y[1] (numeric) = 260.26661854689253994584114512709
absolute error = 6.47724103975e-18
relative error = 2.4886945071609281057064982876595e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.975
y[1] (analytic) = 260.78767170386417446620581520619
y[1] (numeric) = 260.78767170386417445971535099413
absolute error = 6.49046421206e-18
relative error = 2.4887925758354890488359458107149e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.976
y[1] (analytic) = 261.30976801187034137875851736036
y[1] (numeric) = 261.30976801187034137225480350313
absolute error = 6.50371385723e-18
relative error = 2.4888904485708166130289204802395e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.977
y[1] (analytic) = 261.83290955929696884314763485744
y[1] (numeric) = 261.83290955929696883663064482918
absolute error = 6.51699002826e-18
relative error = 2.4889881257589224041216589355679e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.978
y[1] (analytic) = 262.35709843871094408803926370559
y[1] (numeric) = 262.35709843871094408150897092734
absolute error = 6.53029277825e-18
relative error = 2.4890856077887052367497452225892e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.979
y[1] (analytic) = 262.88233674686848368793345791242
y[1] (numeric) = 262.88233674686848368138983575201
absolute error = 6.54362216041e-18
relative error = 2.4891828950496991382193545277371e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.98
y[1] (analytic) = 263.40862658472352059082620281341
y[1] (numeric) = 263.40862658472352058426922458535
absolute error = 6.55697822806e-18
relative error = 2.4892799879319800321198413298732e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.981
y[1] (analytic) = 263.93597005743610793674247933994
y[1] (numeric) = 263.93597005743610793017211830531
absolute error = 6.57036103463e-18
relative error = 2.4893768868260733102540956656473e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.982
y[1] (analytic) = 264.46436927438083970075570456429
y[1] (numeric) = 264.46436927438083969417193393066
absolute error = 6.58377063363e-18
relative error = 2.4894735921115186045481420700785e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.983
y[1] (analytic) = 264.99382634915528819417613182701
y[1] (numeric) = 264.99382634915528818757892474829
absolute error = 6.59720707872e-18
relative error = 2.4895701041833081529766355549439e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.984
y[1] (analytic) = 265.52434339958845845765822645004
y[1] (numeric) = 265.5243433995884584510475560264
absolute error = 6.61067042364e-18
relative error = 2.4896664234252828253479562806349e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.985
y[1] (analytic) = 266.0559225477492595800446007378
y[1] (numeric) = 266.05592254774925957342044001556
absolute error = 6.62416072224e-18
relative error = 2.4897625502214320438471089085127e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.986
y[1] (analytic) = 266.58856591995499297683179493704
y[1] (numeric) = 266.58856591995499297019411690856
absolute error = 6.63767802848e-18
relative error = 2.4898584849558054185826649121114e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.987
y[1] (analytic) = 267.12227564677985766221102933624
y[1] (numeric) = 267.1222756467798576555598069398
absolute error = 6.65122239644e-18
relative error = 2.4899542280161688455905886846252e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.988
y[1] (analytic) = 267.6570538630634725487050270079
y[1] (numeric) = 267.6570538630634725420402331276
absolute error = 6.66479388030e-18
relative error = 2.4900497797864082073652820292888e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.989
y[1] (analytic) = 268.1929027079194158084901171042
y[1] (numeric) = 268.19290270791941580181172456988
absolute error = 6.67839253432e-18
relative error = 2.4901451406390237231575646374470e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.99
y[1] (analytic) = 268.72982432474378133056107538018
y[1] (numeric) = 268.72982432474378132386905696728
absolute error = 6.69201841290e-18
relative error = 2.4902403109574839932834340063014e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.991
y[1] (analytic) = 269.26782086122375230796454201242
y[1] (numeric) = 269.26782086122375230125887044185
absolute error = 6.70567157057e-18
relative error = 2.4903352911323161307061475302626e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.992
y[1] (analytic) = 269.8068944693461919893953770783
y[1] (numeric) = 269.80689446934619198267602501636
absolute error = 6.71935206194e-18
relative error = 2.4904300815424164988616910645319e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.993
y[1] (analytic) = 270.34704730540625162951897153566
y[1] (numeric) = 270.34704730540625162278591159396
absolute error = 6.73305994170e-18
relative error = 2.4905246825550796273726470304349e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.994
y[1] (analytic) = 270.88828153001599567245132646946
y[1] (numeric) = 270.88828153001599566570453120476
absolute error = 6.74679526470e-18
relative error = 2.4906190945555597540165120702617e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.995
y[1] (analytic) = 271.43059930811304420289764602578
y[1] (numeric) = 271.43059930811304419613708793988
absolute error = 6.76055808590e-18
relative error = 2.4907133179283841074100342295304e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.996
y[1] (analytic) = 271.9740028089692326995192601109
y[1] (numeric) = 271.97400280896923269274491165058
absolute error = 6.77434846032e-18
relative error = 2.4908073530388889406047326203964e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=267.0MB, alloc=4.5MB, time=12.74
x[1] = 1.997
y[1] (analytic) = 272.51849420619928912516790186966
y[1] (numeric) = 272.51849420619928911837973542653
absolute error = 6.78816644313e-18
relative error = 2.4909012002663494214966976210424e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.998
y[1] (analytic) = 273.06407567776952838869571244942
y[1] (numeric) = 273.0640756777695283818937003598
absolute error = 6.80201208962e-18
relative error = 2.4909948599927675895265124334652e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.999
y[1] (analytic) = 273.6107494060065642131188318823
y[1] (numeric) = 273.61074940600656420630294642714
absolute error = 6.81588545516e-18
relative error = 2.4910883325881388707228847737490e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2
y[1] (analytic) = 274.15851757760603844498206035605
y[1] (numeric) = 274.15851757760603843815227376082
absolute error = 6.82978659523e-18
relative error = 2.4911816184214275361601853764336e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.001
y[1] (analytic) = 274.70738238364136783984183897115
y[1] (numeric) = 274.70738238364136783299812340569
absolute error = 6.84371556546e-18
relative error = 2.4912747178750513503477646782527e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.002
y[1] (analytic) = 275.25734601957250835885470357838
y[1] (numeric) = 275.25734601957250835199703115684
absolute error = 6.85767242154e-18
relative error = 2.4913676313119639183441321957426e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.003
y[1] (analytic) = 275.80841068525473701152840973661
y[1] (numeric) = 275.80841068525473700465675251729
absolute error = 6.87165721932e-18
relative error = 2.4914603591120190527984453214217e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.004
y[1] (analytic) = 276.3605785849474512797631115042
y[1] (numeric) = 276.36057858494745127287744148947
absolute error = 6.88567001473e-18
relative error = 2.4915529016427678786203892820612e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.005
y[1] (analytic) = 276.9138519273229861583803019615
y[1] (numeric) = 276.91385192732298615148059109768
absolute error = 6.89971086382e-18
relative error = 2.4916452592739395969135491617635e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.006
y[1] (analytic) = 277.4682329254754488474076893361
y[1] (numeric) = 277.46823292547544884049390951335
absolute error = 6.91377982275e-18
relative error = 2.4917374323737291170833419298846e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.007
y[1] (analytic) = 278.02372379692957113145878965008
y[1] (numeric) = 278.02372379692957112453091270228
absolute error = 6.92787694780e-18
relative error = 2.4918294213123225025686735778088e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.008
y[1] (analytic) = 278.58032676364957948161676521065
y[1] (numeric) = 278.58032676364957947467476291528
absolute error = 6.94200229537e-18
relative error = 2.4919212264617904256136847282087e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.009
y[1] (analytic) = 279.13804405204808291530292830643
y[1] (numeric) = 279.13804405204808290834677238449
absolute error = 6.95615592194e-18
relative error = 2.4920128481816527619282204644012e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.01
y[1] (analytic) = 279.69687789299497864968136143389
y[1] (numeric) = 279.69687789299497864271102354976
absolute error = 6.97033788413e-18
relative error = 2.4921042868403689240341620162621e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.011
y[1] (analytic) = 280.25683052182637558422227954658
y[1] (numeric) = 280.25683052182637557723773130789
absolute error = 6.98454823869e-18
relative error = 2.4921955428115940391086005415216e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.012
y[1] (analytic) = 280.81790417835353564811807647852
y[1] (numeric) = 280.81790417835353564111928943609
absolute error = 6.99878704243e-18
relative error = 2.4922866164491131238833529604806e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.013
y[1] (analytic) = 281.38010110687183304831745712794
y[1] (numeric) = 281.38010110687183304130440277563
absolute error = 7.01305435231e-18
relative error = 2.4923775081189378315666017496108e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.014
y[1] (analytic) = 281.94342355616973145401465948334
y[1] (numeric) = 281.94342355616973144698730925792
absolute error = 7.02735022542e-18
relative error = 2.4924682181920045016637484769538e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.015
y[1] (analytic) = 282.50787377953777915350251641844
y[1] (numeric) = 282.50787377953777914646084169949
absolute error = 7.04167471895e-18
relative error = 2.4925587470334191002455057095985e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.016
y[1] (analytic) = 283.07345403477762221936999666178
y[1] (numeric) = 283.07345403477762221231396877162
absolute error = 7.05602789016e-18
relative error = 2.4926490949918306060903881098155e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.017
y[1] (analytic) = 283.64016658421103571809689774883
y[1] (numeric) = 283.64016658421103571102648795235
absolute error = 7.07040979648e-18
relative error = 2.4927392624347646648811409308555e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.018
y[1] (analytic) = 284.20801369468897300017054137674
y[1] (numeric) = 284.20801369468897299308572088129
absolute error = 7.08482049545e-18
relative error = 2.4928292497272376646262947065522e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.019
y[1] (analytic) = 284.77699763760063310692164369442
y[1] (numeric) = 284.77699763760063309982238364972
absolute error = 7.09926004470e-18
relative error = 2.4929190572246719450772175303394e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.02
y[1] (analytic) = 285.34712068888254633034899996128
y[1] (numeric) = 285.34712068888254632323527145928
absolute error = 7.11372850200e-18
relative error = 2.4930086852904274234604319154084e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.021
y[1] (analytic) = 285.91838512902767796227523498738
y[1] (numeric) = 285.91838512902767795514700906218
absolute error = 7.12822592520e-18
relative error = 2.4930981342746509176122449037645e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.022
y[1] (analytic) = 286.49079324309455026924862811646
y[1] (numeric) = 286.49079324309455026210587574415
absolute error = 7.14275237231e-18
relative error = 2.4931874045422455483790977328791e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.023
y[1] (analytic) = 287.06434732071638272967892452162
y[1] (numeric) = 287.06434732071638272252161662018
absolute error = 7.15730790144e-18
relative error = 2.4932764964517358922077220358043e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.024
y[1] (analytic) = 287.63904965611025056976809354394
y[1] (numeric) = 287.63904965611025056259620097315
absolute error = 7.17189257079e-18
relative error = 2.4933654103517683228472523610314e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.025
y[1] (analytic) = 288.2149025480862616348701900086
y[1] (numeric) = 288.21490254808626162768368356988
absolute error = 7.18650643872e-18
relative error = 2.4934541466054105635005471509172e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=270.8MB, alloc=4.5MB, time=12.92
x[1] = 2.026
y[1] (analytic) = 288.79190830005675163298781619352
y[1] (numeric) = 288.79190830005675162578666662983
absolute error = 7.20114956369e-18
relative error = 2.4935427055691452258724317368825e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.027
y[1] (analytic) = 289.37006922004549778718617069686
y[1] (numeric) = 289.37006922004549777997034869261
absolute error = 7.21582200425e-18
relative error = 2.4936310875893930344046383416591e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.028
y[1] (analytic) = 289.94938762069695093377930614448
y[1] (numeric) = 289.94938762069695092654878232538
absolute error = 7.23052381910e-18
relative error = 2.4937192930232200778398181174556e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.029
y[1] (analytic) = 290.5298658192854861032170007917
y[1] (numeric) = 290.52986581928548609597174572466
absolute error = 7.24525506704e-18
relative error = 2.4938073222209353787654809479965e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.03
y[1] (analytic) = 291.11150613772467162067457990108
y[1] (numeric) = 291.11150613772467161341456409409
absolute error = 7.26001580699e-18
relative error = 2.4938951755329420263221783111914e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.031
y[1] (analytic) = 291.69431090257655676342210161432
y[1] (numeric) = 291.6943109025765567561472955163
absolute error = 7.27480609802e-18
relative error = 2.4939828533199346385038453323361e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.032
y[1] (analytic) = 292.27828244506097801212354917838
y[1] (numeric) = 292.27828244506097800483392317911
absolute error = 7.28962599927e-18
relative error = 2.4940703559253390170153783013244e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.033
y[1] (analytic) = 292.86342310106488393329104713124
y[1] (numeric) = 292.86342310106488392598657156122
absolute error = 7.30447557002e-18
relative error = 2.4941576836992998036002748688663e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.034
y[1] (analytic) = 293.44973521115167873019364369708
y[1] (numeric) = 293.44973521115167872287428882739
absolute error = 7.31935486969e-18
relative error = 2.4942448369985272452321102380274e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.035
y[1] (analytic) = 294.03722112057058449959487548412
y[1] (numeric) = 294.03722112057058449226061152635
absolute error = 7.33426395777e-18
relative error = 2.4943318161623386958529675109516e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.036
y[1] (analytic) = 294.62588317926602223176815391858
y[1] (numeric) = 294.62588317926602222441895102466
absolute error = 7.34920289392e-18
relative error = 2.4944186215466870435632266816337e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.037
y[1] (analytic) = 295.21572374188701159131398598399
y[1] (numeric) = 295.21572374188701158394981424612
absolute error = 7.36417173787e-18
relative error = 2.4945052534900349873622577359851e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.038
y[1] (analytic) = 295.80674516779658951637816506814
y[1] (numeric) = 295.80674516779658950899899451862
absolute error = 7.37917054952e-18
relative error = 2.4945917123472489392772627731641e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.039
y[1] (analytic) = 296.39894982108124767394534134818
y[1] (numeric) = 296.39894982108124766655114195934
absolute error = 7.39419938884e-18
relative error = 2.4946779984556108411954131495304e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.04
y[1] (analytic) = 296.99234007056038880895780547181
y[1] (numeric) = 296.99234007056038880154854715584
absolute error = 7.40925831597e-18
relative error = 2.4947641121685780658812638363448e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.041
y[1] (analytic) = 297.58691828979580202508489461784
y[1] (numeric) = 297.58691828979580201766054722671
absolute error = 7.42434739113e-18
relative error = 2.4948500538252925745861352674638e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.042
y[1] (analytic) = 298.18268685710115703504415664766
y[1] (numeric) = 298.18268685710115702760468997297
absolute error = 7.43946667469e-18
relative error = 2.4949358237741128226171618537640e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.043
y[1] (analytic) = 298.77964815555151741845128629119
y[1] (numeric) = 298.77964815555151741099667006408
absolute error = 7.45461622711e-18
relative error = 2.4950214223523539051814825018494e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.044
y[1] (analytic) = 299.37780457299287292525187745144
y[1] (numeric) = 299.37780457299287291778208134244
absolute error = 7.46979610900e-18
relative error = 2.4951068499063529700307494517481e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.045
y[1] (analytic) = 299.97715850205169086286421806437
y[1] (numeric) = 299.97715850205169085537921168329
absolute error = 7.48500638108e-18
relative error = 2.4951921067779586863225546014615e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.046
y[1] (analytic) = 300.57771234014448660523868882048
y[1] (numeric) = 300.57771234014448659773844171629
absolute error = 7.50024710419e-18
relative error = 2.4952771933078165827030840928515e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.047
y[1] (analytic) = 301.17946848948741326211581474636
y[1] (numeric) = 301.17946848948741325460029640708
absolute error = 7.51551833928e-18
relative error = 2.4953621098319745212713207076758e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.048
y[1] (analytic) = 301.78242935710587054684165946472
y[1] (numeric) = 301.78242935710587053931083931726
absolute error = 7.53082014746e-18
relative error = 2.4954468566984106216314351659025e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.049
y[1] (analytic) = 302.38659735484413288117604620608
y[1] (numeric) = 302.38659735484413287362989361617
absolute error = 7.54615258991e-18
relative error = 2.4955314342370647867717203785531e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.05
y[1] (analytic) = 302.99197489937499677560603764282
y[1] (numeric) = 302.99197489937499676804452191485
absolute error = 7.56151572797e-18
relative error = 2.4956158427896361024992684663276e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.051
y[1] (analytic) = 303.59856441220944752375420866238
y[1] (numeric) = 303.59856441220944751617729903928
absolute error = 7.57690962310e-18
relative error = 2.4957000826962042143480295576541e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.052
y[1] (analytic) = 304.20636831970634524954850260175
y[1] (numeric) = 304.20636831970634524195616826488
absolute error = 7.59233433687e-18
relative error = 2.4957841542918719226140932259913e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.053
y[1] (analytic) = 304.81538905308213034589787253746
y[1] (numeric) = 304.81538905308213033829008260648
absolute error = 7.60778993098e-18
relative error = 2.4958680579132899567078083528910e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.054
y[1] (analytic) = 305.42562904842054834369547527412
y[1] (numeric) = 305.42562904842054833607219880687
absolute error = 7.62327646725e-18
relative error = 2.4959517938952812813889959695454e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=274.6MB, alloc=4.5MB, time=13.10
TOP MAIN SOLVE Loop
x[1] = 2.055
y[1] (analytic) = 306.03709074668239425004890701084
y[1] (numeric) = 306.03709074668239424241011300321
absolute error = 7.63879400763e-18
relative error = 2.4960353625740407456508828374751e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.056
y[1] (analytic) = 306.64977659371527639471484659888
y[1] (numeric) = 306.6497765937152763870605039847
absolute error = 7.65434261418e-18
relative error = 2.4961187642805131478431637917489e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.057
y[1] (analytic) = 307.2636890402633998237935051477
y[1] (numeric) = 307.26368904026339981612358279858
absolute error = 7.66992234912e-18
relative error = 2.4962019993566321494595841484653e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.058
y[1] (analytic) = 307.87883054197736927981646980144
y[1] (numeric) = 307.8788305419773692721309365267
absolute error = 7.68553327474e-18
relative error = 2.4962850681258922083231299299611e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.059
y[1] (analytic) = 308.49520355942401180743987510824
y[1] (numeric) = 308.49520355942401179973869965475
absolute error = 7.70117545349e-18
relative error = 2.4963679709226201963304738857584e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.06
y[1] (analytic) = 309.11281055809621902403333785158
y[1] (numeric) = 309.11281055809621901631648890363
absolute error = 7.71684894795e-18
relative error = 2.4964507080820762453666105344972e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.061
y[1] (analytic) = 309.73165400842280909453375082254
y[1] (numeric) = 309.73165400842280908680119700174
absolute error = 7.73255382080e-18
relative error = 2.4965332799306724290601365460804e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.062
y[1] (analytic) = 310.35173638577840845001184809746
y[1] (numeric) = 310.35173638577840844226355796258
absolute error = 7.74829013488e-18
relative error = 2.4966156868053078131740017290427e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.063
y[1] (analytic) = 310.97306017049335328947842926281
y[1] (numeric) = 310.9730601704933532817143713097
absolute error = 7.76405795311e-18
relative error = 2.4966979290274520819559529390164e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.064
y[1] (analytic) = 311.59562784786361090453626301433
y[1] (numeric) = 311.59562784786361089675640567575
absolute error = 7.77985733858e-18
relative error = 2.4967800069320969247373270083892e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.065
y[1] (analytic) = 312.21944190816072086656298196628
y[1] (numeric) = 312.21944190816072085876729361179
absolute error = 7.79568835449e-18
relative error = 2.4968619208483179561458520530414e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.066
y[1] (analytic) = 312.84450484664175611618973065744
y[1] (numeric) = 312.8445048466417561083781795933
absolute error = 7.81155106414e-18
relative error = 2.4969436710960510445151808912538e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.067
y[1] (analytic) = 313.47081916355930399491993794995
y[1] (numeric) = 313.47081916355930398709249241894
absolute error = 7.82744553101e-18
relative error = 2.4970252580116182576531448597638e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.068
y[1] (analytic) = 314.09838736417146725881235360386
y[1] (numeric) = 314.0983873641714672509689817852
absolute error = 7.84337181866e-18
relative error = 2.4971066819156412788105036900534e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.069
y[1] (analytic) = 314.72721195875188511423241709459
y[1] (numeric) = 314.7272119587518851063730871038
absolute error = 7.85932999079e-18
relative error = 2.4971879431321759847371241624166e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.07
y[1] (analytic) = 315.3572954625997743157561150399
y[1] (numeric) = 315.35729546259977430788079492865
absolute error = 7.87532011125e-18
relative error = 2.4972690419917633577142580131250e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.071
y[1] (analytic) = 315.98864039604999036639073224
y[1] (numeric) = 315.98864039604999035849938999599
absolute error = 7.89134224401e-18
relative error = 2.4973499788217847481672950372714e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.072
y[1] (analytic) = 316.62124928448310886035731062868
y[1] (numeric) = 316.62124928448310885244991417556
absolute error = 7.90739645312e-18
relative error = 2.4974307539337738351144397964324e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.073
y[1] (analytic) = 317.25512465833552700876020070736
y[1] (numeric) = 317.25512465833552700083671790454
absolute error = 7.92348280282e-18
relative error = 2.4975113676581612518333823839948e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.074
y[1] (analytic) = 317.89026905310958538854982160854
y[1] (numeric) = 317.89026905310958538061022025108
absolute error = 7.93960135746e-18
relative error = 2.4975918203188344024240429988365e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.075
y[1] (analytic) = 318.52668500938370995526563913566
y[1] (numeric) = 318.52668500938370994730988695416
absolute error = 7.95575218150e-18
relative error = 2.4976721122331165733742174451371e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.076
y[1] (analytic) = 319.16437507282257436012742627396
y[1] (numeric) = 319.1643750728225743521554909344
absolute error = 7.97193533956e-18
relative error = 2.4977522437274124077851276073716e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.077
y[1] (analytic) = 319.80334179418728261212408808692
y[1] (numeric) = 319.80334179418728260413593719057
absolute error = 7.98815089635e-18
relative error = 2.4978322151151429673671921483577e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.078
y[1] (analytic) = 320.4435877293455721258307129308
y[1] (numeric) = 320.44358772934557211782631401404
absolute error = 8.00439891676e-18
relative error = 2.4979120267248753639384034229352e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.079
y[1] (analytic) = 321.08511543928203719576605485916
y[1] (numeric) = 321.08511543928203718774537539339
absolute error = 8.02067946577e-18
relative error = 2.4979916788720558609732234487734e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.08
y[1] (analytic) = 321.72792749010837293818435827891
y[1] (numeric) = 321.72792749010837293014736567042
absolute error = 8.03699260849e-18
relative error = 2.4980711718714875580890487643910e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.081
y[1] (analytic) = 322.37202645307363974127730568369
y[1] (numeric) = 322.3720264530736397332239672735
absolute error = 8.05333841019e-18
relative error = 2.4981505060465570843419664523293e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.082
y[1] (analytic) = 323.01741490457454826484390295818
y[1] (numeric) = 323.01741490457454825677418602193
absolute error = 8.06971693625e-18
relative error = 2.4982296817135840676444457175907e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.083
y[1] (analytic) = 323.66409542616576503056831464636
y[1] (numeric) = 323.66409542616576502248218639419
absolute error = 8.08612825217e-18
memory used=278.4MB, alloc=4.5MB, time=13.29
relative error = 2.4983086991848952597888411093816e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.084
y[1] (analytic) = 324.31207060457023864412802403584
y[1] (numeric) = 324.31207060457023863602545161224
absolute error = 8.10257242360e-18
relative error = 2.4983875587780289440477704410284e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.085
y[1] (analytic) = 324.96134303168954669043722025913
y[1] (numeric) = 324.96134303168954668231817074279
absolute error = 8.11904951634e-18
relative error = 2.4984662608155971855809385777967e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.086
y[1] (analytic) = 325.61191530461426334341300718122
y[1] (numeric) = 325.61191530461426333527744758495
absolute error = 8.13555959627e-18
relative error = 2.4985448056036512503251999209052e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.087
y[1] (analytic) = 326.26379002563434773173488696206
y[1] (numeric) = 326.2637900256343477235827842326
absolute error = 8.15210272946e-18
relative error = 2.4986231934654759702513358789438e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.088
y[1] (analytic) = 326.91696980224955310215099518255
y[1] (numeric) = 326.91696980224955309398231620051
absolute error = 8.16867898204e-18
relative error = 2.4987014247015666497796881250824e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.089
y[1] (analytic) = 327.57145724717985682196775463844
y[1] (numeric) = 327.5714572471798568137824662181
absolute error = 8.18528842034e-18
relative error = 2.4987794996325093155206380506512e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.09
y[1] (analytic) = 328.22725497837591126244297166692
y[1] (numeric) = 328.22725497837591125424104055612
absolute error = 8.20193111080e-18
relative error = 2.4988574185712746936926000557695e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.091
y[1] (analytic) = 328.8843656190295156048859225131
y[1] (numeric) = 328.8843656190295155966673153931
absolute error = 8.21860712000e-18
relative error = 2.4989351818323299280655232137488e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.092
y[1] (analytic) = 329.54279179758410861135166809901
y[1] (numeric) = 329.54279179758410860311635158439
absolute error = 8.23531651462e-18
relative error = 2.4990127897193997841187347208349e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.093
y[1] (analytic) = 330.20253614774528240190069396288
y[1] (numeric) = 330.20253614774528239364863460136
absolute error = 8.25205936152e-18
relative error = 2.4990902425497156277644632105416e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.094
y[1] (analytic) = 330.86360130849131728047899842537
y[1] (numeric) = 330.86360130849131727221016269772
absolute error = 8.26883572765e-18
relative error = 2.4991675406265934743528562550498e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.095
y[1] (analytic) = 331.52598992408373765155794654985
y[1] (numeric) = 331.52598992408373764327230086972
absolute error = 8.28564568013e-18
relative error = 2.4992446842636178090396654467968e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.096
y[1] (analytic) = 332.18970464407788906975757053045
y[1] (numeric) = 332.18970464407788906145508124426
absolute error = 8.30248928619e-18
relative error = 2.4993216737663915443154410560955e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.097
y[1] (analytic) = 332.85474812333353646476152910399
y[1] (numeric) = 332.85474812333353645644216249078
absolute error = 8.31936661321e-18
relative error = 2.4993985094445470935431882075635e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.098
y[1] (analytic) = 333.52112302202548358391663977648
y[1] (numeric) = 333.52112302202548357558036204777
absolute error = 8.33627772871e-18
relative error = 2.4994751916086221927203615051153e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.099
y[1] (analytic) = 334.18883200565421369499476842162
y[1] (numeric) = 334.18883200565421368664154572131
absolute error = 8.35322270031e-18
relative error = 2.4995517205579957873346086076815e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.1
y[1] (analytic) = 334.85787774505655159167990148656
y[1] (numeric) = 334.85787774505655158330969989074
absolute error = 8.37020159582e-18
relative error = 2.4996280966077907436524926748270e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.101
y[1] (analytic) = 335.52826291641634694442843696895
y[1] (numeric) = 335.52826291641634693604122248582
absolute error = 8.38721448313e-18
relative error = 2.4997043200558470349457903502185e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.102
y[1] (analytic) = 336.19999020127517903943611185128
y[1] (numeric) = 336.19999020127517903103185042098
absolute error = 8.40426143030e-18
relative error = 2.4997803912095781269952462427592e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.103
y[1] (analytic) = 336.87306228654308294853053613287
y[1] (numeric) = 336.87306228654308294010919362735
absolute error = 8.42134250552e-18
relative error = 2.4998563103739160535701114482898e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.104
y[1] (analytic) = 337.54748186450929717289402733146
y[1] (numeric) = 337.54748186450929716445556955434
absolute error = 8.43845777712e-18
relative error = 2.4999320778542129792824072172441e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.105
y[1] (analytic) = 338.22325163285303280360733467572
y[1] (numeric) = 338.22325163285303279515172736218
absolute error = 8.45560731354e-18
relative error = 2.5000076939472814329169533569986e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.106
y[1] (analytic) = 338.9003742946542642420909095227
y[1] (numeric) = 338.90037429465426423361811833929
absolute error = 8.47279118341e-18
relative error = 2.5000831589649996557723645912292e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.107
y[1] (analytic) = 339.57885255840454152360661815262
y[1] (numeric) = 339.57885255840454151511660869719
absolute error = 8.49000945543e-18
relative error = 2.5001584731987378119680388322045e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.108
y[1] (analytic) = 340.25868913801782428706920536466
y[1] (numeric) = 340.25868913801782427856194316616
absolute error = 8.50726219850e-18
relative error = 2.5002336369576830798221129860813e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.109
y[1] (analytic) = 340.93988675284133743450340256451
y[1] (numeric) = 340.93988675284133742597885308289
absolute error = 8.52454948162e-18
relative error = 2.5003086505392457705255871031327e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.11
y[1] (analytic) = 341.62244812766644852356933264668
y[1] (numeric) = 341.62244812766644851502746127273
absolute error = 8.54187137395e-18
relative error = 2.5003835142466542971123727855520e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.111
y[1] (analytic) = 342.30637599273956693666579627608
y[1] (numeric) = 342.30637599273956692810656833132
absolute error = 8.55922794476e-18
relative error = 2.5004582283742047784548837721949e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=282.2MB, alloc=4.5MB, time=13.47
x[1] = 2.112
y[1] (analytic) = 342.99167308377306487020813051448
y[1] (numeric) = 342.991673083773064861631511251
absolute error = 8.57661926348e-18
relative error = 2.5005327932218421643820603274109e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.113
y[1] (analytic) = 343.67834214195622018776461146446
y[1] (numeric) = 343.67834214195622017917056606478
absolute error = 8.59404539968e-18
relative error = 2.5006072090891990290834856330975e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.114
y[1] (analytic) = 344.36638591396618118082282806698
y[1] (numeric) = 344.36638591396618117221132164392
absolute error = 8.61150642306e-18
relative error = 2.5006814762726091885579975188165e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.115
y[1] (analytic) = 345.0558071519789532810450847378
y[1] (numeric) = 345.05580715197895327241608233431
absolute error = 8.62900240349e-18
relative error = 2.5007555950766473617078819690479e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.116
y[1] (analytic) = 345.7466086136804077679596965131
y[1] (numeric) = 345.74660861368040775931316310219
absolute error = 8.64653341091e-18
relative error = 2.5008295657850384241827993030248e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.117
y[1] (analytic) = 346.4387930622773125161230221482
y[1] (numeric) = 346.43879306227731250745892263272
absolute error = 8.66409951548e-18
relative error = 2.5009033887040775427509501573609e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.118
y[1] (analytic) = 347.13236326650838482587523852459
y[1] (numeric) = 347.13236326650838481719353773714
absolute error = 8.68170078745e-18
relative error = 2.5009770641248699769128742941901e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.119
y[1] (analytic) = 347.827322000655366381901194126
y[1] (numeric) = 347.82732200065536637320185682877
absolute error = 8.69933729723e-18
relative error = 2.5010505923435218108666690298106e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.12
y[1] (analytic) = 348.52367204455412038389619059322
y[1] (numeric) = 348.52367204455412037517918147786
absolute error = 8.71700911536e-18
relative error = 2.5011239736523969062934763991091e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.121
y[1] (analytic) = 349.22141618360575089372522981712
y[1] (numeric) = 349.22141618360575088499051350458
absolute error = 8.73471631254e-18
relative error = 2.5011972083486592598543701719904e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.122
y[1] (analytic) = 349.92055720878774444355313003254
y[1] (numeric) = 349.92055720878774443480067107297
absolute error = 8.75245895957e-18
relative error = 2.5012702967169928701982552656973e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.123
y[1] (analytic) = 350.62109791666513394951195828919
y[1] (numeric) = 350.62109791666513394074172116174
absolute error = 8.77023712745e-18
relative error = 2.5013432390581615934965949607146e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.124
y[1] (analytic) = 351.32304110940168497556144885423
y[1] (numeric) = 351.32304110940168496677339796695
absolute error = 8.78805088728e-18
relative error = 2.5014160356602995215274654544065e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.125
y[1] (analytic) = 352.0263895947711043922874779035
y[1] (numeric) = 352.02638959477110438348157759319
absolute error = 8.80590031031e-18
relative error = 2.5014886868131548260699483368032e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.126
y[1] (analytic) = 352.73114618616827147547324464002
y[1] (numeric) = 352.73114618616827146664945917206
absolute error = 8.82378546796e-18
relative error = 2.5015611928136583570756129980817e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.127
y[1] (analytic) = 353.43731370262049148936756809925
y[1] (numeric) = 353.43731370262049148052586166751
absolute error = 8.84170643174e-18
relative error = 2.5016335539431316432687556397313e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.128
y[1] (analytic) = 354.1448949687987717996646477193
y[1] (numeric) = 354.14489496879877179080498444594
absolute error = 8.85966327336e-18
relative error = 2.5017057704984178654768323465328e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.129
y[1] (analytic) = 354.85389281502912056129975462966
y[1] (numeric) = 354.85389281502912055242209856502
absolute error = 8.87765606464e-18
relative error = 2.5017778427662791562969636085781e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.13
y[1] (analytic) = 355.5643100773038680262556199063
y[1] (numeric) = 355.56431007730386801735993502877
absolute error = 8.89568487753e-18
relative error = 2.5018497710290364504774214414667e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.131
y[1] (analytic) = 356.27614959729301051666476611387
y[1] (numeric) = 356.27614959729301050775101632969
absolute error = 8.91374978418e-18
relative error = 2.5019215555841762003231666613402e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.132
y[1] (analytic) = 356.9894142223555771085836896693
y[1] (numeric) = 356.98941422235557709965183881247
absolute error = 8.93185085683e-18
relative error = 2.5019931967133004644867814450600e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.133
y[1] (analytic) = 357.70410680555101907190564427946
y[1] (numeric) = 357.70410680555101906295565611158
absolute error = 8.94998816788e-18
relative error = 2.5020646947017690520979187895552e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.134
y[1] (analytic) = 358.42023020565062211196980028979
y[1] (numeric) = 358.42023020565062210300163849989
absolute error = 8.96816178990e-18
relative error = 2.5021360498413668356312818479125e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.135
y[1] (analytic) = 359.13778728714894145851576159672
y[1] (numeric) = 359.13778728714894144952938980116
absolute error = 8.98637179556e-18
relative error = 2.5022072624106631065501540032859e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.136
y[1] (analytic) = 359.85678092027525984772381118907
y[1] (numeric) = 359.85678092027525983871919293135
absolute error = 9.00461825772e-18
relative error = 2.5022783327000679469290973924957e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.137
y[1] (analytic) = 360.57721398100506844317282875634
y[1] (numeric) = 360.57721398100506843414992750699
absolute error = 9.02290124935e-18
relative error = 2.5023492609894422029223718691038e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.138
y[1] (analytic) = 361.29908935107157074163957950378
y[1] (numeric) = 361.29908935107157073259835866019
absolute error = 9.04122084359e-18
relative error = 2.5024200475647240373918681642687e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.139
y[1] (analytic) = 362.02240991797720950975501270976
y[1] (numeric) = 362.02240991797720950069543559604
absolute error = 9.05957711372e-18
relative error = 2.5024906927094962706642913665366e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.14
y[1] (analytic) = 362.74717857500521679762533201989
y[1] (numeric) = 362.74717857500521678854736188673
absolute error = 9.07797013316e-18
relative error = 2.5025611967049244874879776497846e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=286.1MB, alloc=4.5MB, time=13.66
TOP MAIN SOLVE Loop
x[1] = 2.141
y[1] (analytic) = 363.47339822123118707561790736228
y[1] (numeric) = 363.47339822123118706652150738679
absolute error = 9.09639997549e-18
relative error = 2.5026315598351983085286307317882e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.142
y[1] (analytic) = 364.20107176153467354060459105837
y[1] (numeric) = 364.20107176153467353148972434396
absolute error = 9.11486671441e-18
relative error = 2.5027017823764329764655576116036e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.143
y[1] (analytic) = 364.93020210661080763804767856438
y[1] (numeric) = 364.93020210661080762891430814057
absolute error = 9.13337042381e-18
relative error = 2.5027718646158463754105013613948e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.144
y[1] (analytic) = 365.66079217298194184640661767982
y[1] (numeric) = 365.66079217298194183725470650213
absolute error = 9.15191117769e-18
relative error = 2.5028418068296848301970318801582e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.145
y[1] (analytic) = 366.39284488300931577043661937382
y[1] (numeric) = 366.3928448830093157612661303236
absolute error = 9.17048905022e-18
relative error = 2.5029116092996230364107697310825e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.146
y[1] (analytic) = 367.12636316490474559004355897825
y[1] (numeric) = 367.12636316490474558085445486253
absolute error = 9.18910411572e-18
relative error = 2.5029812723071769980014795001433e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.147
y[1] (analytic) = 367.86134995274233691145297875338
y[1] (numeric) = 367.86134995274233690224522230475
absolute error = 9.20775644863e-18
relative error = 2.5030507961254650188632663464254e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.148
y[1] (analytic) = 368.59780818647022106754461211916
y[1] (numeric) = 368.59780818647022105831816599559
absolute error = 9.22644612357e-18
relative error = 2.5031201810354841461338288281756e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.149
y[1] (analytic) = 369.33574081192231491429764653857
y[1] (numeric) = 369.33574081192231490505247332327
absolute error = 9.24517321530e-18
relative error = 2.5031894273151161745281295175058e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.15
y[1] (analytic) = 370.07515078083010417038592651388
y[1] (numeric) = 370.07515078083010416112198871515
absolute error = 9.26393779873e-18
relative error = 2.5032585352417755614278794412288e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.151
y[1] (analytic) = 370.81604105083445034705647078776
y[1] (numeric) = 370.81604105083445033777373083884
absolute error = 9.28273994892e-18
relative error = 2.5033275050923288462592783431880e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.152
y[1] (analytic) = 371.55841458549742131551903900579
y[1] (numeric) = 371.55841458549742130621745926472
absolute error = 9.30157974107e-18
relative error = 2.5033963371403235133672006180776e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.153
y[1] (analytic) = 372.30227435431414555916903317291
y[1] (numeric) = 372.30227435431414554984857592237
absolute error = 9.32045725054e-18
relative error = 2.5034650316613078929774832451915e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.154
y[1] (analytic) = 373.04762333272469015806075860088
y[1] (numeric) = 373.04762333272469014872138604803
absolute error = 9.33937255285e-18
relative error = 2.5035335889327260565926749618126e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.155
y[1] (analytic) = 373.79446450212596255314299807725
y[1] (numeric) = 373.7944645021259625437846723536
absolute error = 9.35832572365e-18
relative error = 2.5036020092257878684568171399345e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.156
y[1] (analytic) = 374.5428008498836361378639720671
y[1] (numeric) = 374.54280084988363612848665522834
absolute error = 9.37731683876e-18
relative error = 2.5036702928161256546677189305577e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.157
y[1] (analytic) = 375.29263536934409972484806726821
y[1] (numeric) = 375.29263536934409971545172129407
absolute error = 9.39634597414e-18
relative error = 2.5037384399756711983987913062713e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.158
y[1] (analytic) = 376.04397105984643093544221615918
y[1] (numeric) = 376.04397105984643092602680295326
absolute error = 9.41541320592e-18
relative error = 2.5038064509805852469196367419550e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.159
y[1] (analytic) = 376.7968109267343935600255016905
y[1] (numeric) = 376.79681092673439355059098308015
absolute error = 9.43451861035e-18
relative error = 2.5038743260978603955091387640097e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.16
y[1] (analytic) = 377.5511579813684589370714443536
y[1] (numeric) = 377.55115798136845892761778208975
absolute error = 9.45366226385e-18
relative error = 2.5039420655985706165266056887411e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.161
y[1] (analytic) = 378.30701524113785139904850390538
y[1] (numeric) = 378.30701524113785138957565966238
absolute error = 9.47284424300e-18
relative error = 2.5040096697551021842743615275500e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.162
y[1] (analytic) = 379.06438572947261783334059541093
y[1] (numeric) = 379.06438572947261782384853078639
absolute error = 9.49206462454e-18
relative error = 2.5040771388410554430561810893287e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.163
y[1] (analytic) = 379.82327247585572140646587937916
y[1] (numeric) = 379.82327247585572139695455589383
absolute error = 9.51132348533e-18
relative error = 2.5041444731206162776597183752092e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.164
y[1] (analytic) = 380.58367851583515949996873899166
y[1] (numeric) = 380.58367851583515949043811808922
absolute error = 9.53062090244e-18
relative error = 2.5042116728722128023111873184006e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.165
y[1] (analytic) = 381.34560689103610590645670414962
y[1] (numeric) = 381.34560689103610589690674719659
absolute error = 9.54995695303e-18
relative error = 2.5042787383568206758627347429117e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.166
y[1] (analytic) = 382.1090606491730773343511226765
y[1] (numeric) = 382.10906064917307732478179096204
absolute error = 9.56933171446e-18
relative error = 2.5043456698468395771525811156929e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.167
y[1] (analytic) = 382.87404284406212427001761390078
y[1] (numeric) = 382.87404284406212426042886863658
absolute error = 9.58874526420e-18
relative error = 2.5044124676023878697611258494568e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.168
y[1] (analytic) = 383.6405565356330462460397693954
y[1] (numeric) = 383.64055653563304623643157171545
absolute error = 9.60819767995e-18
relative error = 2.5044791319026193187963234283963e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.169
y[1] (analytic) = 384.40860478994163156449719025537
y[1] (numeric) = 384.40860478994163155486950121589
absolute error = 9.62768903948e-18
relative error = 2.5045456630038257745109485603789e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=289.9MB, alloc=4.5MB, time=13.84
TOP MAIN SOLVE Loop
x[1] = 2.17
y[1] (analytic) = 385.17819067918192152420677034578
y[1] (numeric) = 385.17819067918192151455955092501
absolute error = 9.64721942077e-18
relative error = 2.5046120611759268291328486113816e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.171
y[1] (analytic) = 385.9493172816984992009841508372
y[1] (numeric) = 385.94931728169849919131736193525
absolute error = 9.66678890195e-18
relative error = 2.5046783266867029444467794994984e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.172
y[1] (analytic) = 386.72198768199880283008048345964
y[1] (numeric) = 386.72198768199880282039408589834
absolute error = 9.68639756130e-18
relative error = 2.5047444598017316171369961115037e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.173
y[1] (analytic) = 387.49620497076546384004804863977
y[1] (numeric) = 387.49620497076546383034200316254
absolute error = 9.70604547723e-18
relative error = 2.5048104607791629133231752482029e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.174
y[1] (analytic) = 388.27197224486866958738688043483
y[1] (numeric) = 388.27197224486866957766114770648
absolute error = 9.72573272835e-18
relative error = 2.5048763298877372112233055451609e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.175
y[1] (analytic) = 389.04929260737855084142335333306
y[1] (numeric) = 389.04929260737855083167789393965
absolute error = 9.74545939341e-18
relative error = 2.5049420673911724202963738032225e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.176
y[1] (analytic) = 389.82816916757759406897068695188
y[1] (numeric) = 389.82816916757759405920546140058
absolute error = 9.76522555130e-18
relative error = 2.5050076735481289474042472485561e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.177
y[1] (analytic) = 390.60860504097307856842052382554
y[1] (numeric) = 390.60860504097307855863549254443
absolute error = 9.78503128111e-18
relative error = 2.5050731486275358451502710481883e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.178
y[1] (analytic) = 391.39060334930953850301413323122
y[1] (numeric) = 391.39060334930953849320925656918
absolute error = 9.80487666204e-18
relative error = 2.5051384928854084653740693268407e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.179
y[1] (analytic) = 392.17416722058124988314139075469
y[1] (numeric) = 392.1741672205812498733166289812
absolute error = 9.82476177349e-18
relative error = 2.5052037065878412006392439769995e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.18
y[1] (analytic) = 392.95929978904474254761547944055
y[1] (numeric) = 392.95929978904474253777079274556
absolute error = 9.84468669499e-18
relative error = 2.5052687899930084937050706152680e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.181
y[1] (analytic) = 393.74600419523133719397125430862
y[1] (numeric) = 393.74600419523133718410660280238
absolute error = 9.86465150624e-18
relative error = 2.5053337433613176253755513852904e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.182
y[1] (analytic) = 394.53428358595970750793540814596
y[1] (numeric) = 394.53428358595970749805075185886
absolute error = 9.88465628710e-18
relative error = 2.5053985669527669120646637790254e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.183
y[1] (analytic) = 395.32414111434846744231697320463
y[1] (numeric) = 395.32414111434846743241227208704
absolute error = 9.90470111759e-18
relative error = 2.5054632610268648275354077985900e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.184
y[1] (analytic) = 396.11557993982878369566729115032
y[1] (numeric) = 396.11557993982878368574250507243
absolute error = 9.92478607789e-18
relative error = 2.5055278258425499364738355521266e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.185
y[1] (analytic) = 396.90860322815701344115938271834
y[1] (numeric) = 396.90860322815701343121447146999
absolute error = 9.94491124835e-18
relative error = 2.5055922616606311067493552199248e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.186
y[1] (analytic) = 397.7032141514273673562376494447
y[1] (numeric) = 397.70321415142736734627257273525
absolute error = 9.96507670945e-18
relative error = 2.5056565687336261313135962341291e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.187
y[1] (analytic) = 398.49941588808459800369004295525
y[1] (numeric) = 398.49941588808459799370476041339
absolute error = 9.98528254186e-18
relative error = 2.5057207473208160102470597587108e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.188
y[1] (analytic) = 399.29721162293671361489624301928
y[1] (numeric) = 399.29721162293671360489071419287
absolute error = 1.000552882641e-17
relative error = 2.5057847976805794746878212985918e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.189
y[1] (analytic) = 400.09660454716771732610699431207
y[1] (numeric) = 400.09660454716771731608117866799
absolute error = 1.002581564408e-17
relative error = 2.5058487200678176110586166292044e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.19
y[1] (analytic) = 400.89759785835037191871156398936
y[1] (numeric) = 400.89759785835037190866542091334
absolute error = 1.004614307602e-17
relative error = 2.5059125147388924383553187069174e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.191
y[1] (analytic) = 401.70019476045899011455229816326
y[1] (numeric) = 401.70019476045899010448578695973
absolute error = 1.006651120353e-17
relative error = 2.5059761819465486327990323597688e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.192
y[1] (analytic) = 402.50439846388225047744747559155
y[1] (numeric) = 402.50439846388225046736055548345
absolute error = 1.008692010810e-17
relative error = 2.5060397219498025310919680332146e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.193
y[1] (analytic) = 403.31021218543603897218608175957
y[1] (numeric) = 403.31021218543603896207871188822
absolute error = 1.010736987135e-17
relative error = 2.5061031349989178091776732890624e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.194
y[1] (analytic) = 404.11763914837631623236075645602
y[1] (numeric) = 404.11763914837631622223289588094
absolute error = 1.012786057508e-17
relative error = 2.5061664213477805123353644242538e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.195
y[1] (analytic) = 404.92668258241201058850800333072
y[1] (numeric) = 404.92668258241201057835961102946
absolute error = 1.014839230126e-17
relative error = 2.5062295812513085778502264498673e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.196
y[1] (analytic) = 405.73734572371793690812779118592
y[1] (numeric) = 405.73734572371793689795882605389
absolute error = 1.016896513203e-17
relative error = 2.5062926149653566629643011734144e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.197
y[1] (analytic) = 406.54963181494774129925792430459
y[1] (numeric) = 406.54963181494774128906834515494
absolute error = 1.018957914965e-17
relative error = 2.5063555227343232488501320860453e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=293.7MB, alloc=4.5MB, time=14.02
x[1] = 2.198
y[1] (analytic) = 407.363544105246871729382013373
y[1] (numeric) = 407.3635441052468717191717789364
absolute error = 1.021023443660e-17
relative error = 2.5064183048157282188532902783707e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.199
y[1] (analytic) = 408.17908585026557461155353992334
y[1] (numeric) = 408.17908585026557460132260884786
absolute error = 1.023093107548e-17
relative error = 2.5064809614554982038217897409980e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.2
y[1] (analytic) = 408.99626031217191740972237612172
y[1] (numeric) = 408.99626031217191739947070697261
absolute error = 1.025166914911e-17
relative error = 2.5065434929124474432765189899343e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.201
y[1] (analytic) = 409.8150707596648373153541985708
y[1] (numeric) = 409.81507075966483730508174983039
absolute error = 1.027244874041e-17
relative error = 2.5066058994287829317665807811410e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.202
y[1] (analytic) = 410.63552046798721604753752000326
y[1] (numeric) = 410.63552046798721603724425007075
absolute error = 1.029326993251e-17
relative error = 2.5066681812569729386746793483288e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.203
y[1] (analytic) = 411.45761271893898082887755672703
y[1] (numeric) = 411.45761271893898081856342391834
absolute error = 1.031413280869e-17
relative error = 2.5067303386449777118760719955559e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.204
y[1] (analytic) = 412.28135080089023158958085286592
y[1] (numeric) = 412.2813508008902315792458154135
absolute error = 1.033503745242e-17
relative error = 2.5067923718459117220930150731694e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.205
y[1] (analytic) = 413.10673800879439445223949523692
y[1] (numeric) = 413.10673800879439444188351128963
absolute error = 1.035598394729e-17
relative error = 2.5068542811009626635954625020893e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.206
y[1] (analytic) = 413.93377764420140154992887553922
y[1] (numeric) = 413.9337776442014015395519031621
absolute error = 1.037697237712e-17
relative error = 2.5069160666659999487930841176769e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.207
y[1] (analytic) = 414.76247301527089723033828981879
y[1] (numeric) = 414.76247301527089721994028699296
absolute error = 1.039800282583e-17
relative error = 2.5069777287800003081403502890519e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.208
y[1] (analytic) = 415.59282743678547069875920933959
y[1] (numeric) = 415.59282743678547068834013396203
absolute error = 1.041907537756e-17
relative error = 2.5070392676940058770552386129862e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.209
y[1] (analytic) = 416.42484423016391515286181245762
y[1] (numeric) = 416.42484423016391514242162234102
absolute error = 1.044019011660e-17
relative error = 2.5071006836541094819207129276979e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.21
y[1] (analytic) = 417.25852672347451346229633428308
y[1] (numeric) = 417.25852672347451345183498715567
absolute error = 1.046134712741e-17
relative error = 2.5071619769062123576274364169931e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.211
y[1] (analytic) = 418.09387825144835044626197025006
y[1] (numeric) = 418.09387825144835043577942375546
absolute error = 1.048254649460e-17
relative error = 2.5072231476911577148526765590797e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.212
y[1] (analytic) = 418.93090215549265180229246161936
y[1] (numeric) = 418.93090215549265179178867331636
absolute error = 1.050378830300e-17
relative error = 2.5072841962614057329705759538262e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.213
y[1] (analytic) = 419.76960178370414973961409584164
y[1] (numeric) = 419.76960178370414972908902320409
absolute error = 1.052507263755e-17
relative error = 2.5073451228546281091694522943523e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.214
y[1] (analytic) = 420.60998049088247537053867303414
y[1] (numeric) = 420.60998049088247535999227345073
absolute error = 1.054639958341e-17
relative error = 2.5074059277199232682070028249857e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.215
y[1] (analytic) = 421.45204163854357791346102199906
y[1] (numeric) = 421.45204163854357790289325277319
absolute error = 1.056776922587e-17
relative error = 2.5074666110962630233223886666487e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.216
y[1] (analytic) = 422.29578859493317076113789566612
y[1] (numeric) = 422.29578859493317075054871401572
absolute error = 1.058918165040e-17
relative error = 2.5075271732243488728898358036953e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.217
y[1] (analytic) = 423.14122473504020446803253700293
y[1] (numeric) = 423.14122473504020445742190006026
absolute error = 1.061063694267e-17
relative error = 2.5075876143512367568936299471939e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.218
y[1] (analytic) = 423.9883534406103667106168827353
y[1] (numeric) = 423.9883534406103666999847475468
absolute error = 1.063213518850e-17
relative error = 2.5076479347183962006206486166009e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.219
y[1] (analytic) = 424.83717810015960927463126408645
y[1] (numeric) = 424.83717810015960926397758761258
absolute error = 1.065367647387e-17
relative error = 2.5077081345640351020956358102836e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.22
y[1] (analytic) = 425.68770210898770212340957160981
y[1] (numeric) = 425.68770210898770211273431072486
absolute error = 1.067526088495e-17
relative error = 2.5077682141300950829061874257999e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.221
y[1] (analytic) = 426.53992886919181460148617548811
y[1] (numeric) = 426.53992886919181459078928698003
absolute error = 1.069688850808e-17
relative error = 2.5078281736574407613956320474890e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.222
y[1] (analytic) = 427.39386178968012382780943383482
y[1] (numeric) = 427.39386178968012381709087440505
absolute error = 1.071855942977e-17
relative error = 2.5078880133857858174599135216277e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.223
y[1] (analytic) = 428.24950428618545033299537999642
y[1] (numeric) = 428.24950428618545032225510625972
absolute error = 1.074027373670e-17
relative error = 2.5079477335536198273363142109768e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.224
y[1] (analytic) = 429.10685978127892099516415605118
y[1] (numeric) = 429.10685978127892098440212453544
absolute error = 1.076203151574e-17
relative error = 2.5080073344027967074043557554703e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.225
y[1] (analytic) = 429.96593170438365932901095406732
y[1] (numeric) = 429.96593170438365931822712121341
absolute error = 1.078383285391e-17
relative error = 2.5080668161691134504913554392857e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.226
y[1] (analytic) = 430.82672349178850318287263965815
y[1] (numeric) = 430.82672349178850317206696181974
absolute error = 1.080567783841e-17
relative error = 2.5081261790892492539092579711225e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=297.5MB, alloc=4.5MB, time=14.20
x[1] = 2.227
y[1] (analytic) = 431.68923858666174989866086439092
y[1] (numeric) = 431.68923858666174988783329783428
absolute error = 1.082756655664e-17
relative error = 2.5081854234053051617532565342224e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.228
y[1] (analytic) = 432.55348043906492898964232510862
y[1] (numeric) = 432.55348043906492897879282601249
absolute error = 1.084949909613e-17
relative error = 2.5082445493484823773736629521762e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.229
y[1] (analytic) = 433.41945250596660239115689964954
y[1] (numeric) = 433.4194525059666023802854241049
absolute error = 1.087147554464e-17
relative error = 2.5083035571621787095448577896669e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.23
y[1] (analytic) = 434.28715825125619233947468023714
y[1] (numeric) = 434.2871582512561923285811842471
absolute error = 1.089349599004e-17
relative error = 2.5083624470741508836897769095243e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.231
y[1] (analytic) = 435.156601145757836934103438406
y[1] (numeric) = 435.15660114575783692318787788557
absolute error = 1.091556052043e-17
relative error = 2.5084212193241622202847012455571e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.232
y[1] (analytic) = 436.02778466724427343896878916736
y[1] (numeric) = 436.02778466724427342803111994328
absolute error = 1.093766922408e-17
relative error = 2.5084798741500178551385511486230e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.233
y[1] (analytic) = 436.90071230045074937800027764617
y[1] (numeric) = 436.90071230045074936704045545675
absolute error = 1.095982218942e-17
relative error = 2.5085384117852107193078568297692e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.234
y[1] (analytic) = 437.77538753708896148076778908217
y[1] (numeric) = 437.77538753708896146978576957712
absolute error = 1.098201950505e-17
relative error = 2.5085968324611642282198237859685e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.235
y[1] (analytic) = 438.65181387586102253392408332584
y[1] (numeric) = 438.65181387586102252291982206608
absolute error = 1.100426125976e-17
relative error = 2.5086551364117278754697480667107e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.236
y[1] (analytic) = 439.52999482247345619432087822177
y[1] (numeric) = 439.52999482247345618329433067925
absolute error = 1.102654754252e-17
relative error = 2.5087133238707934046367854356833e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.237
y[1] (analytic) = 440.4099338896512198197777530037
y[1] (numeric) = 440.40993388965121980872887456122
absolute error = 1.104887844248e-17
relative error = 2.5087713950722098452875787909712e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.238
y[1] (analytic) = 441.29163459715175537359521347372
y[1] (numeric) = 441.29163459715175536252395942477
absolute error = 1.107125404895e-17
relative error = 2.5088293502451672346190502875130e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.239
y[1] (analytic) = 442.17510047177906845901555575275
y[1] (numeric) = 442.17510047177906844792188130129
absolute error = 1.109367445146e-17
relative error = 2.5088871896277278815760385996509e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.24
y[1] (analytic) = 443.0603350473978355399476852174
y[1] (numeric) = 443.06033504739783552883154547774
absolute error = 1.111613973966e-17
relative error = 2.5089449134440830538662168242491e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.241
y[1] (analytic) = 443.94734186494753940438479233255
y[1] (numeric) = 443.94734186494753939324614232912
absolute error = 1.113865000343e-17
relative error = 2.5090025219293845084608421471091e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.242
y[1] (analytic) = 444.83612447245663292705675789727
y[1] (numeric) = 444.83612447245663291589555256446
absolute error = 1.116120533281e-17
relative error = 2.5090600153138146517815753276830e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.243
y[1] (analytic) = 445.72668642505673118797235719896
y[1] (numeric) = 445.72668642505673117678855138095
absolute error = 1.118380581801e-17
relative error = 2.5091173938247950503325895056561e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.244
y[1] (analytic) = 446.61903128499683200361975616726
y[1] (numeric) = 446.61903128499683199241330461781
absolute error = 1.120645154945e-17
relative error = 2.5091746576958857169991610831722e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.245
y[1] (analytic) = 447.51316262165756492770744329037
y[1] (numeric) = 447.51316262165756491647830067268
absolute error = 1.122914261769e-17
relative error = 2.5092318071509974156410625124527e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.246
y[1] (analytic) = 448.40908401156546877844161925639
y[1] (numeric) = 448.40908401156546876718974014287
absolute error = 1.125187911352e-17
relative error = 2.5092888424244743851729101665625e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.247
y[1] (analytic) = 449.30679903840729774945017246562
y[1] (numeric) = 449.30679903840729773817551133775
absolute error = 1.127466112787e-17
relative error = 2.5093457637408749964090411361916e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.248
y[1] (analytic) = 450.20631129304435616157770318485
y[1] (numeric) = 450.20631129304435615028021443298
absolute error = 1.129748875187e-17
relative error = 2.5094025713283120527710399556955e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.249
y[1] (analytic) = 451.10762437352686191289062263656
y[1] (numeric) = 451.10762437352686190157026055972
absolute error = 1.132036207684e-17
relative error = 2.5094592654161162115293587266205e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.25
y[1] (analytic) = 452.01074188510833868434614619472
y[1] (numeric) = 452.01074188510833867300286500047
absolute error = 1.134328119425e-17
relative error = 2.5095158462258900136290376765333e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.251
y[1] (analytic) = 452.9156674402600369586940225529
y[1] (numeric) = 452.91566744026003694732777635709
absolute error = 1.136624619581e-17
relative error = 2.5095723139913718204224614779414e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.252
y[1] (analytic) = 453.82240465868538391029509369934
y[1] (numeric) = 453.822404658685383898905836526
absolute error = 1.138925717334e-17
relative error = 2.5096286689295847913533893697822e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.253
y[1] (analytic) = 454.7309571673344622236562642402
y[1] (numeric) = 454.73095716733446221224395002127
absolute error = 1.141231421893e-17
relative error = 2.5096849112761047957876079214577e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.254
y[1] (analytic) = 455.6413286004185178985971735154
y[1] (numeric) = 455.64132860041851788716175609063
absolute error = 1.143541742477e-17
relative error = 2.5097410412474809653458508111466e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.255
y[1] (analytic) = 456.55352259942449710007981051806
y[1] (numeric) = 456.55352259942449708862124363476
absolute error = 1.145856688330e-17
relative error = 2.5097970590741958180342125845749e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=301.3MB, alloc=4.5MB, time=14.38
TOP MAIN SOLVE Loop
x[1] = 2.256
y[1] (analytic) = 457.46754281312961211084849031793
y[1] (numeric) = 457.46754281312961209936672763084
absolute error = 1.148176268709e-17
relative error = 2.5098529649742106340197073589669e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.257
y[1] (analytic) = 458.38339289761593644514402197047
y[1] (numeric) = 458.38339289761593643363901704153
absolute error = 1.150500492894e-17
relative error = 2.5099087591748217150533737897102e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.258
y[1] (analytic) = 459.30107651628502918187254222801
y[1] (numeric) = 459.30107651628502917034424852619
absolute error = 1.152829370182e-17
relative error = 2.5099644418994196627322851958503e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.259
y[1] (analytic) = 460.2205973398725885757263672277
y[1] (numeric) = 460.22059733987258856417473812881
absolute error = 1.155162909889e-17
relative error = 2.5100200133717896174004801279574e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.26
y[1] (analytic) = 461.14195904646313500487132617766
y[1] (numeric) = 461.1419590464631349932963149642
absolute error = 1.157501121346e-17
relative error = 2.5100754738073488220317700288175e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.261
y[1] (analytic) = 462.06516532150472331393238736809
y[1] (numeric) = 462.06516532150472330233394722899
absolute error = 1.159844013910e-17
relative error = 2.5101308234369519808512928764589e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.262
y[1] (analytic) = 462.99021985782368461112696806602
y[1] (numeric) = 462.99021985782368459950505209652
absolute error = 1.162191596950e-17
relative error = 2.5101860624764147400422412529243e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.263
y[1] (analytic) = 463.91712635563939757851313648305
y[1] (numeric) = 463.91712635563939756686769768447
absolute error = 1.164543879858e-17
relative error = 2.5102411911502903538045747795410e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.264
y[1] (analytic) = 464.84588852257908935443796650364
y[1] (numeric) = 464.84588852257908934276895778321
absolute error = 1.166900872043e-17
relative error = 2.5102962096787907753551221047113e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.265
y[1] (analytic) = 465.77651007369266604738959470204
y[1] (numeric) = 465.77651007369266603569696887274
absolute error = 1.169262582930e-17
relative error = 2.5103511182755985985193312871754e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.266
y[1] (analytic) = 466.70899473146757294057505483017
y[1] (numeric) = 466.70899473146757292885876461048
absolute error = 1.171629021969e-17
relative error = 2.5104059171671319380532437304670e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.267
y[1] (analytic) = 467.64334622584368444666472790116
y[1] (numeric) = 467.64334622584368443492472591491
absolute error = 1.174000198625e-17
relative error = 2.5104606065709493211816339928986e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.268
y[1] (analytic) = 468.57956829422822387226324669992
y[1] (numeric) = 468.57956829422822386049948547609
absolute error = 1.176376122383e-17
relative error = 2.5105151867064241597726375238364e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.269
y[1] (analytic) = 469.51766468151071305178593249712
y[1] (numeric) = 469.51766468151071303999836446967
absolute error = 1.178756802745e-17
relative error = 2.5105696577882528448483454923979e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.27
y[1] (analytic) = 470.45763914007795191053931940542
y[1] (numeric) = 470.45763914007795189872789691306
absolute error = 1.181142249236e-17
relative error = 2.5106240200391706877045908565590e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.271
y[1] (analytic) = 471.3994954298290280169240386725
y[1] (numeric) = 471.39949542982902800508871395854
absolute error = 1.183532471396e-17
relative error = 2.5106782736728167219695565905853e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.272
y[1] (analytic) = 472.34323731819035618379829173554
y[1] (numeric) = 472.34323731819035617193901694767
absolute error = 1.185927478787e-17
relative error = 2.5107324189085598304973209269985e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.273
y[1] (analytic) = 473.28886858013074817916033754346
y[1] (numeric) = 473.28886858013074816727706473357
absolute error = 1.188327280989e-17
relative error = 2.5107864559629058817925483123601e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.274
y[1] (analytic) = 474.23639299817651260642885697012
y[1] (numeric) = 474.23639299817651259452153809411
absolute error = 1.190731887601e-17
relative error = 2.5108403850515506214838531322889e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.275
y[1] (analytic) = 475.18581436242658501472073557296
y[1] (numeric) = 475.18581436242658500278932249055
absolute error = 1.193141308241e-17
relative error = 2.5108942063893035061124054096599e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.276
y[1] (analytic) = 476.13713647056768829964672598174
y[1] (numeric) = 476.13713647056768828769117045627
absolute error = 1.195555552547e-17
relative error = 2.5109479201921125550568098425638e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.277
y[1] (analytic) = 477.09036312788952345526661331389
y[1] (numeric) = 477.09036312788952344328686701213
absolute error = 1.197974630176e-17
relative error = 2.5110015266748727250189784068984e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.278
y[1] (analytic) = 478.04549814729999073796691169146
y[1] (numeric) = 478.04549814729999072596292618342
absolute error = 1.200398550804e-17
relative error = 2.5110550260513521621327151675612e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.279
y[1] (analytic) = 479.00254534934044130314576766538
y[1] (numeric) = 479.00254534934044129111749442411
absolute error = 1.202827324127e-17
relative error = 2.5111084185362068940750972835195e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.28
y[1] (analytic) = 479.96150856220095937571163762212
y[1] (numeric) = 479.96150856220095936365902802351
absolute error = 1.205260959861e-17
relative error = 2.5111617043448877585194956074261e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.281
y[1] (analytic) = 480.92239162173567501552444154372
y[1] (numeric) = 480.92239162173567500344744686633
absolute error = 1.207699467739e-17
relative error = 2.5112148836873102029920634186958e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.282
y[1] (analytic) = 481.8851983714781075390302753028
y[1] (numeric) = 481.88519837147810752692884672765
absolute error = 1.210142857515e-17
relative error = 2.5112679567761260263765093337191e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.283
y[1] (analytic) = 482.84993266265653965846338848938
y[1] (numeric) = 482.84993266265653964633747709973
absolute error = 1.212591138965e-17
relative error = 2.5113209238286830009200237571819e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.284
y[1] (analytic) = 483.81659835420942240011200507606
y[1] (numeric) = 483.81659835420942238796156185727
absolute error = 1.215044321879e-17
relative error = 2.5113737850503585703079360854969e-18 %
Correct digits = 19
h = 0.001
memory used=305.1MB, alloc=4.5MB, time=14.57
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.285
y[1] (analytic) = 484.78519931280081086326768052508
y[1] (numeric) = 484.78519931280081085109265636437
absolute error = 1.217502416071e-17
relative error = 2.5114265406552227302210087373066e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.286
y[1] (analytic) = 485.75573941283583088160125171536
y[1] (numeric) = 485.75573941283583086940159740162
absolute error = 1.219965431374e-17
relative error = 2.5114791908555740223612417063727e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.287
y[1] (analytic) = 486.72822253647617664883204581577
y[1] (numeric) = 486.72822253647617663660771203937
absolute error = 1.222433377640e-17
relative error = 2.5115317358618729464440590074996e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.288
y[1] (analytic) = 487.70265257365563937068087144483
y[1] (numeric) = 487.70265257365563935843180879743
absolute error = 1.224906264740e-17
relative error = 2.5115841758826760977931668968394e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.289
y[1] (analytic) = 488.67903342209566700522142063379
y[1] (numeric) = 488.67903342209566699294757960814
absolute error = 1.227384102565e-17
relative error = 2.5116365111266173590086137656978e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.29
y[1] (analytic) = 489.65736898732095515386906374493
y[1] (numeric) = 489.65736898732095514157039473465
absolute error = 1.229866901028e-17
relative error = 2.5116887418064075212495895821591e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.291
y[1] (analytic) = 490.63766318267506916537062208815
y[1] (numeric) = 490.63766318267506915304707538755
absolute error = 1.232354670060e-17
relative error = 2.5117408681305567917413679821258e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.292
y[1] (analytic) = 491.61991992933609751528355502442
y[1] (numeric) = 491.61991992933609750293508082832
absolute error = 1.234847419610e-17
relative error = 2.5117928903033324765648201494768e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.293
y[1] (analytic) = 492.60414315633233652355810034406
y[1] (numeric) = 492.60414315633233651118464874754
absolute error = 1.237345159652e-17
relative error = 2.5118448085389274367035521066820e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.294
y[1] (analytic) = 493.59033680055800647296125916122
y[1] (numeric) = 493.59033680055800646056278015946
absolute error = 1.239847900176e-17
relative error = 2.5118966230430432231770799405690e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.295
y[1] (analytic) = 494.5785048067889991912071199755
y[1] (numeric) = 494.5785048067889991787835634636
absolute error = 1.242355651190e-17
relative error = 2.5119483340169343825312259305033e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.296
y[1] (analytic) = 495.56865112769865715978387141876
y[1] (numeric) = 495.56865112769865714733518719147
absolute error = 1.244868422729e-17
relative error = 2.5119999416755297958961884366975e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.297
y[1] (analytic) = 496.5607797238735842125939600338
y[1] (numeric) = 496.56077972387358420012009778538
absolute error = 1.247386224842e-17
relative error = 2.5120514462210321204155176703050e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.298
y[1] (analytic) = 497.55489456382948788765020872675
y[1] (numeric) = 497.55489456382948787515111805073
absolute error = 1.249909067602e-17
relative error = 2.5121028478630587799388903299733e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.299
y[1] (analytic) = 498.55099962402705349519732380055
y[1] (numeric) = 498.55099962402705348267295418957
absolute error = 1.252436961098e-17
relative error = 2.5121541468024374570456603778503e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.3
y[1] (analytic) = 499.54909888888784996575508422116
y[1] (numeric) = 499.54909888888784995320538506673
absolute error = 1.254969915443e-17
relative error = 2.5122053432472241072257790469648e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.301
y[1] (analytic) = 500.5491963508102675417066264969
y[1] (numeric) = 500.54919635081026752913154708922
absolute error = 1.257507940768e-17
relative error = 2.5122564374005600182047536331767e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.302
y[1] (analytic) = 501.5512960101854873761826127744
y[1] (numeric) = 501.55129601018548736358210230216
absolute error = 1.260051047224e-17
relative error = 2.5123074294646243410207403370085e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.303
y[1] (analytic) = 502.5554018754134831031196989807
y[1] (numeric) = 502.55540187541348309049370653083
absolute error = 1.262599244987e-17
relative error = 2.5123583196505088452758406935930e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.304
y[1] (analytic) = 503.56151796291905444249960458055
y[1] (numeric) = 503.56151796291905442984807913807
absolute error = 1.265152544248e-17
relative error = 2.5124091081581863556098459271182e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.305
y[1] (analytic) = 504.5696482971678929049032262837
y[1] (numeric) = 504.56964829716789289222611673149
absolute error = 1.267710955221e-17
relative error = 2.5124597951923925805667803225034e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.306
y[1] (analytic) = 505.57979691068267965964263533925
y[1] (numeric) = 505.57979691068267964693989045786
absolute error = 1.270274488139e-17
relative error = 2.5125103809545829113780703529705e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.307
y[1] (analytic) = 506.59196784405921563086245240905
y[1] (numeric) = 506.59196784405921561813402087651
absolute error = 1.272843153254e-17
relative error = 2.5125608656428810812956870566736e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.308
y[1] (analytic) = 507.6061651459825838861310059325
y[1] (numeric) = 507.60616514598258387337683632405
absolute error = 1.275416960845e-17
relative error = 2.5126112494677887087942127239211e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.309
y[1] (analytic) = 508.62239287324334438217084989685
y[1] (numeric) = 508.62239287324334436939089068485
absolute error = 1.277995921200e-17
relative error = 2.5126615326165880639353754125622e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.31
y[1] (analytic) = 509.64065509075376113250764552885
y[1] (numeric) = 509.64065509075376111970184508243
absolute error = 1.280580044642e-17
relative error = 2.5127117153045059978474466625127e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.311
y[1] (analytic) = 510.6609558715640618619460991385
y[1] (numeric) = 510.66095587156406184911440572343
absolute error = 1.283169341507e-17
relative error = 2.5127617977312699011378471037765e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.312
y[1] (analytic) = 511.683299296878730212911595699
y[1] (numeric) = 511.6832992968787302000539574775
absolute error = 1.285763822150e-17
relative error = 2.5128117800929039692225182862856e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=309.0MB, alloc=4.5MB, time=14.75
x[1] = 2.313
y[1] (analytic) = 512.70768945607283056882637525205
y[1] (numeric) = 512.70768945607283055594274028258
absolute error = 1.288363496947e-17
relative error = 2.5128616625855830859534974006420e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.314
y[1] (analytic) = 513.7341304467083655598195674097
y[1] (numeric) = 513.73413044670836554690988364669
absolute error = 1.290968376301e-17
relative error = 2.5129114454172266799192549824683e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.315
y[1] (analytic) = 514.7626263745506663162011286027
y[1] (numeric) = 514.76262637455066630326534389643
absolute error = 1.293578470627e-17
relative error = 2.5129611287781579053282474420584e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.316
y[1] (analytic) = 515.79318135358481553526071782525
y[1] (numeric) = 515.79318135358481552229877992154
absolute error = 1.296193790371e-17
relative error = 2.5130107128780315741492657891742e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.317
y[1] (analytic) = 516.8257995060321034270837999684
y[1] (numeric) = 516.82579950603210341409565650854
absolute error = 1.298814345986e-17
relative error = 2.5130601978991200902070772593821e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.318
y[1] (analytic) = 517.8604849623665166052087819486
y[1] (numeric) = 517.860484962366516592194380469
absolute error = 1.301440147960e-17
relative error = 2.5131095840505712031700156390553e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.319
y[1] (analytic) = 518.8972418613312599880807662443
y[1] (numeric) = 518.89724186133125997504005417631
absolute error = 1.304071206799e-17
relative error = 2.5131588715352944083784050430430e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.32
y[1] (analytic) = 519.93607434995531177738954968535
y[1] (numeric) = 519.93607434995531176432247435511
absolute error = 1.306707533024e-17
relative error = 2.5132080605441689156786933299518e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.321
y[1] (analytic) = 520.97698658357001157951180292045
y[1] (numeric) = 520.97698658357001156641831154864
absolute error = 1.309349137181e-17
relative error = 2.5132571512752743652442207719866e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.322
y[1] (analytic) = 522.0199827258256817364099384486
y[1] (numeric) = 522.01998272582568172328997815028
absolute error = 1.311996029832e-17
relative error = 2.5133061439164944737297484691464e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.323
y[1] (analytic) = 523.06506694870828193247301297225
y[1] (numeric) = 523.06506694870828191932653075656
absolute error = 1.314648221569e-17
relative error = 2.5133550386723002055252487538911e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.324
y[1] (analytic) = 524.1122434325560971439181136413
y[1] (numeric) = 524.11224343255609713074505641128
absolute error = 1.317305723002e-17
relative error = 2.5134038357406046060738379437511e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.325
y[1] (analytic) = 525.1615163660764589975040480446
y[1] (numeric) = 525.16151636607645898430436259704
absolute error = 1.319968544756e-17
relative error = 2.5134525353070315152653015074710e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.326
y[1] (analytic) = 526.21288994636250060544279509875
y[1] (numeric) = 526.21288994636250059221642812392
absolute error = 1.322636697483e-17
relative error = 2.5135011375677587748648831218747e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.327
y[1] (analytic) = 527.2663683789099449435280788197
y[1] (numeric) = 527.26636837890994493027497690107
absolute error = 1.325310191863e-17
relative error = 2.5135496427312258294082708277411e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.328
y[1] (analytic) = 528.32195587763392683963459987565
y[1] (numeric) = 528.32195587763392682635470948985
absolute error = 1.327989038580e-17
relative error = 2.5135980509725004179100458666656e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.329
y[1] (analytic) = 529.3796566648858486398759013485
y[1] (numeric) = 529.37965666488584862656916886489
absolute error = 1.330673248361e-17
relative error = 2.5136463625071986239755766226742e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.33
y[1] (analytic) = 530.439474971470269619843555808
y[1] (numeric) = 530.43947497147026960650992748872
absolute error = 1.333362831928e-17
relative error = 2.5136945775005056487437151870898e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.331
y[1] (analytic) = 531.50141503666182920848534117635
y[1] (numeric) = 531.50141503666182919512476317585
absolute error = 1.336057800050e-17
relative error = 2.5137426961654308946648909922260e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.332
y[1] (analytic) = 532.56548110822220409231532345855
y[1] (numeric) = 532.56548110822220407892774182349
absolute error = 1.338758163506e-17
relative error = 2.5137907186927724063217359895210e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.333
y[1] (analytic) = 533.63167744241709926778428578945
y[1] (numeric) = 533.63167744241709925436964645852
absolute error = 1.341463933093e-17
relative error = 2.5138386452662456890355311748540e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.334
y[1] (analytic) = 534.7000083040332731097747359337
y[1] (numeric) = 534.7000083040332730963329847373
absolute error = 1.344175119640e-17
relative error = 2.5138864760886535585171885697091e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.335
y[1] (analytic) = 535.77047796639559652432078891825
y[1] (numeric) = 535.77047796639559651085187157838
absolute error = 1.346891733987e-17
relative error = 2.5139342113424160327648063537414e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.336
y[1] (analytic) = 536.8430907113841462537895584232
y[1] (numeric) = 536.84309071138414624029342055321
absolute error = 1.349613786999e-17
relative error = 2.5139818512157680320991920615892e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.337
y[1] (analytic) = 537.9178508294513324028973004472
y[1] (numeric) = 537.91785082945133238937388755146
absolute error = 1.352341289574e-17
relative error = 2.5140293959174899435967535699494e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.338
y[1] (analytic) = 538.9947626196390602540704361484
y[1] (numeric) = 538.99476261963906024051969362228
absolute error = 1.355074252612e-17
relative error = 2.5140768456191041536950234471579e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.339
y[1] (analytic) = 540.0738303895959264407987381884
y[1] (numeric) = 540.07383038959592642722061131796
absolute error = 1.357812687044e-17
relative error = 2.5141242005088590441709027342605e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.34
y[1] (analytic) = 541.15505845559444954776539691935
y[1] (numeric) = 541.15505845559444953415983088101
absolute error = 1.360556603834e-17
relative error = 2.5141714607951746008633281548578e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.341
y[1] (analytic) = 542.2384511425483352066763899085
y[1] (numeric) = 542.23845114254833519304332976902
absolute error = 1.363306013948e-17
relative error = 2.5142186266491867070222620133099e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=312.8MB, alloc=4.5MB, time=14.94
x[1] = 2.342
y[1] (analytic) = 543.3240127840297757568495611388
y[1] (numeric) = 543.32401278402977574318895185497
absolute error = 1.366060928383e-17
relative error = 2.5142656982584101738564793805218e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.343
y[1] (analytic) = 544.41174772228678453976207530715
y[1] (numeric) = 544.41174772228678452607386172546
absolute error = 1.368821358169e-17
relative error = 2.5143126758301656963457558551214e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.344
y[1] (analytic) = 545.5016603082605648968934485225
y[1] (numeric) = 545.50166030826056488317757537912
absolute error = 1.371587314338e-17
relative error = 2.5143595595344697976244474610159e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.345
y[1] (analytic) = 546.59375490160291394034016993555
y[1] (numeric) = 546.59375490160291392659658185597
absolute error = 1.374358807958e-17
relative error = 2.5144063495665263463671527150047e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.346
y[1] (analytic) = 547.6880358706936611658170199624
y[1] (numeric) = 547.68803587069366115204566146121
absolute error = 1.377135850119e-17
relative error = 2.5144530461208298469465627476432e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.347
y[1] (analytic) = 548.7845075926581419777995603595
y[1] (numeric) = 548.78450759265814196400037584031
absolute error = 1.379918451919e-17
relative error = 2.5144996493655774976227023099865e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.348
y[1] (analytic) = 549.8831744533847061967019200182
y[1] (numeric) = 549.88317445338470618287485377326
absolute error = 1.382706624494e-17
relative error = 2.5145461594974048583240045330033e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.349
y[1] (analytic) = 550.9840408475422616181239285339
y[1] (numeric) = 550.9840408475422616042689247439
absolute error = 1.385500379000e-17
relative error = 2.5145925767083498833985451921042e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.35
y[1] (analytic) = 552.0871111785978526943418579303
y[1] (numeric) = 552.08711117859785268045886066424
absolute error = 1.388299726606e-17
relative error = 2.5146389011731355053293730524690e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.351
y[1] (analytic) = 553.1923898588342744083575219401
y[1] (numeric) = 553.19238985883427439444647515499
absolute error = 1.391104678511e-17
relative error = 2.5146851330799893170000995830807e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.352
y[1] (analytic) = 554.29988130936772141096125252325
y[1] (numeric) = 554.29988130936772139702210006385
absolute error = 1.393915245940e-17
relative error = 2.5147312726232090174806857319147e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.353
y[1] (analytic) = 555.409589960165472491405325407
y[1] (numeric) = 555.40958996016547247743801100571
absolute error = 1.396731440129e-17
relative error = 2.5147773199760107965196898997608e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.354
y[1] (analytic) = 556.5215202500636104524257409211
y[1] (numeric) = 556.52152025006361043843020819767
absolute error = 1.399553272343e-17
relative error = 2.5148232753229995708394816927543e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.355
y[1] (analytic) = 557.63567662678477746049188384125
y[1] (numeric) = 557.63567662678477744646807630256
absolute error = 1.402380753869e-17
relative error = 2.5148691388474189131063803603573e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.356
y[1] (analytic) = 558.75206354695596594230548691365
y[1] (numeric) = 558.75206354695596592825334795343
absolute error = 1.405213896022e-17
relative error = 2.5149149107418191057891473872280e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.357
y[1] (analytic) = 559.8706854761263450987125077773
y[1] (numeric) = 559.87068547612634508463198067599
absolute error = 1.408052710131e-17
relative error = 2.5149605911828746769493755268760e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.358
y[1] (analytic) = 560.9915468887851231073339987008
y[1] (numeric) = 560.99154688878512309322502662527
absolute error = 1.410897207553e-17
relative error = 2.5150061803564147156973700508760e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.359
y[1] (analytic) = 562.1146522683794450853648034728
y[1] (numeric) = 562.11465226837944507122732947616
absolute error = 1.413747399664e-17
relative error = 2.5150516784412369777170040082014e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.36
y[1] (analytic) = 563.2400061073323268841319565054
y[1] (numeric) = 563.2400061073323268699659235267
absolute error = 1.416603297870e-17
relative error = 2.5150970856286241454588381833983e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.361
y[1] (analytic) = 564.3676129070606247871479862952
y[1] (numeric) = 564.36761290706062477295333715933
absolute error = 1.419464913587e-17
relative error = 2.5151424020866976351835580952559e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.362
y[1] (analytic) = 565.4974771779930411835379394156
y[1] (numeric) = 565.49747717799304116931461683295
absolute error = 1.422332258265e-17
relative error = 2.5151876280030054049994213437268e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.363
y[1] (analytic) = 566.6296034395881662888628427552
y[1] (numeric) = 566.62960343958816627461078932151
absolute error = 1.425205343369e-17
relative error = 2.5152327635507131131676385222680e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.364
y[1] (analytic) = 567.7639962203525559855065113525
y[1] (numeric) = 567.76399622035255597122566954849
absolute error = 1.428084180401e-17
relative error = 2.5152778089274123429785431870318e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.365
y[1] (analytic) = 568.9006600578588458549370874771
y[1] (numeric) = 568.90066005785884584062739966844
absolute error = 1.430968780866e-17
relative error = 2.5153227642950288155848503942978e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.366
y[1] (analytic) = 570.03959949876390147429946415675
y[1] (numeric) = 570.03959949876390145996087259365
absolute error = 1.433859156310e-17
relative error = 2.5153676298467563606848131376128e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.367
y[1] (analytic) = 571.18081909882700504993980371905
y[1] (numeric) = 571.18081909882700503557225053612
absolute error = 1.436755318293e-17
relative error = 2.5154124057593911000595687460250e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.368
y[1] (analytic) = 572.3243234229280784606087096957
y[1] (numeric) = 572.32432342292807844621213691176
absolute error = 1.439657278394e-17
relative error = 2.5154570922021473575304182643881e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.369
y[1] (analytic) = 573.4701170450859427832352491991
y[1] (numeric) = 573.47011704508594276880959871679
absolute error = 1.442565048231e-17
relative error = 2.5155016893715252381003556356674e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.37
y[1] (analytic) = 574.6182045484766143743099532129
y[1] (numeric) = 574.61820454847661435985516681865
absolute error = 1.445478639425e-17
relative error = 2.5155461974283044787288953906540e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=316.6MB, alloc=4.5MB, time=15.12
TOP MAIN SOLVE Loop
x[1] = 2.371
y[1] (analytic) = 575.7685905254516375800611447244
y[1] (numeric) = 575.76859052545163756557716408802
absolute error = 1.448398063638e-17
relative error = 2.5155906165638156660221902181577e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.372
y[1] (analytic) = 576.9212795775564541487554598464
y[1] (numeric) = 576.92127957755645413424222652101
absolute error = 1.451323332539e-17
relative error = 2.5156349469406185659383240727237e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.373
y[1] (analytic) = 578.0762763155488094186002356245
y[1] (numeric) = 578.07627631554880940405769104609
absolute error = 1.454254457841e-17
relative error = 2.5156791887567107616585009747606e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.374
y[1] (analytic) = 579.23358535941719535487254067945
y[1] (numeric) = 579.2335853594171953403006261669
absolute error = 1.457191451255e-17
relative error = 2.5157233421656753070870823586051e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.375
y[1] (analytic) = 580.39321133839933051004702179325
y[1] (numeric) = 580.39321133839933049544567854781
absolute error = 1.460134324544e-17
relative error = 2.5157674073700803395975079339451e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.376
y[1] (analytic) = 581.5551588910006769808424315882
y[1] (numeric) = 581.55515889100067696621160069355
absolute error = 1.463083089465e-17
relative error = 2.5158113845211744355907218791510e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.377
y[1] (analytic) = 582.71943266501299443625469017655
y[1] (numeric) = 582.71943266501299442159431259833
absolute error = 1.466037757822e-17
relative error = 2.5158552738102674955847200266615e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.378
y[1] (analytic) = 583.88603731753293129079261764965
y[1] (numeric) = 583.88603731753293127610263423533
absolute error = 1.468998341432e-17
relative error = 2.5158990754100173691142100048942e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.379
y[1] (analytic) = 585.05497751498065309728105513915
y[1] (numeric) = 585.05497751498065308256140661778
absolute error = 1.471964852137e-17
relative error = 2.5159427894950428549391653514104e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.38
y[1] (analytic) = 586.2262579331185082337449705
y[1] (numeric) = 586.22625793311850821899559748202
absolute error = 1.474937301798e-17
relative error = 2.5159864162315856632631462510238e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.381
y[1] (analytic) = 587.39988325706973095903732103955
y[1] (numeric) = 587.39988325706973094425816401643
absolute error = 1.477915702312e-17
relative error = 2.5160299558064516267122867635831e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.382
y[1] (analytic) = 588.5758581813371819120229207411
y[1] (numeric) = 588.57585818133718189721392008517
absolute error = 1.480900065593e-17
relative error = 2.5160734083944407020479147282593e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.383
y[1] (analytic) = 589.7541874098221261292803337053
y[1] (numeric) = 589.75418740982212611444142966957
absolute error = 1.483890403573e-17
relative error = 2.5161167741600784498104298650227e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.384
y[1] (analytic) = 590.9348756558430486564338896541
y[1] (numeric) = 590.93487565584304864156502237198
absolute error = 1.486886728212e-17
relative error = 2.5161600532745574032212587910929e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.385
y[1] (analytic) = 592.1179276421545078283782919128
y[1] (numeric) = 592.11792764215450781347940139777
absolute error = 1.489889051503e-17
relative error = 2.5162032459240315198521014091048e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.386
y[1] (analytic) = 593.303348100966026293808963906
y[1] (numeric) = 593.30334810096602627887999005148
absolute error = 1.492897385452e-17
relative error = 2.5162463522756736653952497834848e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.387
y[1] (analytic) = 594.49114177396101985962225747765
y[1] (numeric) = 594.49114177396101984466314005672
absolute error = 1.495911742093e-17
relative error = 2.5162893725030128093963292122658e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.388
y[1] (analytic) = 595.6813134123157642309009258737
y[1] (numeric) = 595.68131341231576421591160453889
absolute error = 1.498932133481e-17
relative error = 2.5163323067740359380277513211307e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.389
y[1] (analytic) = 596.8738677767183997223518466188
y[1] (numeric) = 596.87386777671839970733226090184
absolute error = 1.501958571696e-17
relative error = 2.5163751552578614005679515209882e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.39
y[1] (analytic) = 598.06880963738797401721486537725
y[1] (numeric) = 598.06880963738797400216495468878
absolute error = 1.504991068847e-17
relative error = 2.5164179181313324122570190282862e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.391
y[1] (analytic) = 599.2661437740935230498138218239
y[1] (numeric) = 599.26614377409352303473352545327
absolute error = 1.508029637063e-17
relative error = 2.5164605955638380724671707264264e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.392
y[1] (analytic) = 600.4658749761731900880733131706
y[1] (numeric) = 600.4658749761731900729625702856
absolute error = 1.511074288500e-17
relative error = 2.5165031877289616884502812558671e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.393
y[1] (analytic) = 601.668008042553383092477550907
y[1] (numeric) = 601.6680080425533830773363005536
absolute error = 1.514125035340e-17
relative error = 2.5165456948026933600553611243646e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.394
y[1] (analytic) = 602.87254778176797042810077213435
y[1] (numeric) = 602.8725477817679704129289532366
absolute error = 1.517181889775e-17
relative error = 2.5165881169367826852113328455250e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.395
y[1] (analytic) = 604.07949901197751500649207920875
y[1] (numeric) = 604.07949901197751499128963056836
absolute error = 1.520244864039e-17
relative error = 2.5166304543118703337550023265247e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.396
y[1] (analytic) = 605.2888665609885469343513008778
y[1] (numeric) = 605.28886656098854691911816117395
absolute error = 1.523313970385e-17
relative error = 2.5166727070991182496575533531800e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.397
y[1] (analytic) = 606.5006552662728747460864953117
y[1] (numeric) = 606.50065526627287473082260310081
absolute error = 1.526389221089e-17
relative error = 2.5167148754668156049942137920598e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.398
y[1] (analytic) = 607.71486997498693529749805100685
y[1] (numeric) = 607.71486997498693528220334472233
absolute error = 1.529470628452e-17
relative error = 2.5167569595836149355215498396199e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.399
y[1] (analytic) = 608.93151554399118239798898609825
y[1] (numeric) = 608.93151554399118238266340405029
memory used=320.4MB, alloc=4.5MB, time=15.30
absolute error = 1.532558204796e-17
relative error = 2.5167989596118761534336204686449e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.4
y[1] (analytic) = 610.15059683986951425885600077355
y[1] (numeric) = 610.15059683986951424349948114878
absolute error = 1.535651962477e-17
relative error = 2.5168408757289521294423044628828e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.401
y[1] (analytic) = 611.37211873894873983537110185575
y[1] (numeric) = 611.37211873894873981998358271712
absolute error = 1.538751913863e-17
relative error = 2.5168827080909710287814283017349e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.402
y[1] (analytic) = 612.596086127318084140519193837
y[1] (numeric) = 612.59608612731808412510061312338
absolute error = 1.541858071362e-17
relative error = 2.5169244568786716019334650393888e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.403
y[1] (analytic) = 613.82250390084873260841291731995
y[1] (numeric) = 613.82250390084873259296321284601
absolute error = 1.544970447394e-17
relative error = 2.5169661222514585112098145313378e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.404
y[1] (analytic) = 615.0513769652134145855622145861
y[1] (numeric) = 615.05137696521341457008132404201
absolute error = 1.548089054409e-17
relative error = 2.5170077043767972955812135837591e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.405
y[1] (analytic) = 616.2827102359060260283326134801
y[1] (numeric) = 616.28271023590602601282047443129
absolute error = 1.551213904881e-17
relative error = 2.5170492034203148829265927744577e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.406
y[1] (analytic) = 617.516508638261291485083045607
y[1] (numeric) = 617.51650863826129146953959549391
absolute error = 1.554345011309e-17
relative error = 2.5170906195473538504702097971545e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.407
y[1] (analytic) = 618.75277710747446544163115360965
y[1] (numeric) = 618.7527771074744654260563297475
absolute error = 1.557482386215e-17
relative error = 2.5171319529196595248798544243556e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.408
y[1] (analytic) = 619.99152058862107310885149565605
y[1] (numeric) = 619.99152058862107309324523523449
absolute error = 1.560626042156e-17
relative error = 2.5171732037146875938377591593604e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.409
y[1] (analytic) = 621.23274403667669073136982385015
y[1] (numeric) = 621.23274403667669071573206393311
absolute error = 1.563775991704e-17
relative error = 2.5172143720931698136152648253161e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.41
y[1] (analytic) = 622.47645241653676549647469771745
y[1] (numeric) = 622.47645241653676548080537524291
absolute error = 1.566932247454e-17
relative error = 2.5172554582120490455243867825260e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.411
y[1] (analytic) = 623.7226507030364751225260948383
y[1] (numeric) = 623.72265070303647510682514661793
absolute error = 1.570094822037e-17
relative error = 2.5172964622452764355193382255763e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.412
y[1] (analytic) = 624.9713438809706272062993987423
y[1] (numeric) = 624.97134388097062719056676146129
absolute error = 1.573263728101e-17
relative error = 2.5173373843531569824578886570021e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.413
y[1] (analytic) = 626.2225369451135984088621799729
y[1] (numeric) = 626.22253694511359839309779018972
absolute error = 1.576438978318e-17
relative error = 2.5173782246935801868103597494575e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.414
y[1] (analytic) = 627.4762349002393135597405404146
y[1] (numeric) = 627.47623490023931354394433456068
absolute error = 1.579620585392e-17
relative error = 2.5174189834347103932074604645938e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.415
y[1] (analytic) = 628.73244276114126475929146418675
y[1] (numeric) = 628.73244276114126474346337856626
absolute error = 1.582808562049e-17
relative error = 2.5174596607388959417568911404975e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.416
y[1] (analytic) = 629.9911655526525705593576112859
y[1] (numeric) = 629.99116555265257054349758207546
absolute error = 1.586002921044e-17
relative error = 2.5175002567737549330713891799535e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.417
y[1] (analytic) = 631.25240830966607530244130334105
y[1] (numeric) = 631.25240830966607528654926658953
absolute error = 1.589203675152e-17
relative error = 2.5175407716977818321676303239066e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.418
y[1] (analytic) = 632.5161760771544886997950849772
y[1] (numeric) = 632.51617607715448868387097660545
absolute error = 1.592410837175e-17
relative error = 2.5175812056714219263164074262083e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.419
y[1] (analytic) = 633.7824739101905657289872000021
y[1] (numeric) = 633.78247391019056571303095580264
absolute error = 1.595624419946e-17
relative error = 2.5176215588632799080998514956295e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.42
y[1] (analytic) = 635.05130687396732693166159958435
y[1] (numeric) = 635.05130687396732691567315522124
absolute error = 1.598844436311e-17
relative error = 2.5176618314216108691454027511373e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.421
y[1] (analytic) = 636.322680043818319192373700424
y[1] (numeric) = 636.32268004381831917635299143243
absolute error = 1.602070899157e-17
relative error = 2.5177020235184427641368742628325e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.422
y[1] (analytic) = 637.59659850523791707954503527215
y[1] (numeric) = 637.59659850523791706349199705824
absolute error = 1.605303821391e-17
relative error = 2.5177421353163198775558343270804e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.423
y[1] (analytic) = 638.87306735390166482974218668725
y[1] (numeric) = 638.87306735390166481365675452786
absolute error = 1.608543215939e-17
relative error = 2.5177821669667484972125641248011e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.424
y[1] (analytic) = 640.15209169568665905664796826645
y[1] (numeric) = 640.15209169568665904053007730885
absolute error = 1.611789095760e-17
relative error = 2.5178221186320935444541220508275e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.425
y[1] (analytic) = 641.4336766466919722662557164133
y[1] (numeric) = 641.43367664669197225010530167491
absolute error = 1.615041473839e-17
relative error = 2.5178619904744740335177257258598e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.426
y[1] (analytic) = 642.71782733325911725998078065065
y[1] (numeric) = 642.71782733325911724379777701879
absolute error = 1.618300363186e-17
relative error = 2.5179017826541261855575602696616e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.427
y[1] (analytic) = 644.0045488919925525075468522104
y[1] (numeric) = 644.00454889199255249133119444207
absolute error = 1.621565776833e-17
relative error = 2.5179414953246804376926060897882e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=324.2MB, alloc=4.5MB, time=15.50
x[1] = 2.428
y[1] (analytic) = 645.29384646978022857166864978625
y[1] (numeric) = 645.29384646978022855542027250776
absolute error = 1.624837727849e-17
relative error = 2.5179811286563892782585954479979e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.429
y[1] (analytic) = 646.58572522381417566671668857475
y[1] (numeric) = 646.58572522381417565043552628157
absolute error = 1.628116229318e-17
relative error = 2.5180206828018531905679794095076e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.43
y[1] (analytic) = 647.8801903216111324337143947146
y[1] (numeric) = 647.8801903216111324174003817711
absolute error = 1.631401294350e-17
relative error = 2.5180601579130916490552873670722e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.431
y[1] (analytic) = 649.1772469410332160141826926173
y[1] (numeric) = 649.17724694103321599783576325639
absolute error = 1.634692936091e-17
relative error = 2.5180995541568699379643399914040e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.432
y[1] (analytic) = 650.47690027030863350551238812735
y[1] (numeric) = 650.47690027030863348913247645033
absolute error = 1.637991167702e-17
relative error = 2.5181388716821847518620197498333e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.433
y[1] (analytic) = 651.7791555080524348807101966175
y[1] (numeric) = 651.77915550805243486429723659369
absolute error = 1.641296002381e-17
relative error = 2.5181781106541117894739546162651e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.434
y[1] (analytic) = 653.08401786328730745553012267295
y[1] (numeric) = 653.08401786328730743908404813949
absolute error = 1.644607453346e-17
relative error = 2.5182172712275318051980005218139e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.435
y[1] (analytic) = 654.3914925554644119861680876165
y[1] (numeric) = 654.39149255546441196968883227812
absolute error = 1.647925533838e-17
relative error = 2.5182563535517332418862723912925e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.436
y[1] (analytic) = 655.7015848144842604808642234347
y[1] (numeric) = 655.70158481448426046435172086331
absolute error = 1.651250257139e-17
relative error = 2.5182953577978363825816773728050e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.437
y[1] (analytic) = 657.01429988071763580892410735045
y[1] (numeric) = 657.01429988071763579237829098507
absolute error = 1.654581636538e-17
relative error = 2.5183342841067429844855627995548e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.438
y[1] (analytic) = 658.3296430050265531908374010211
y[1] (numeric) = 658.32964300502655317425820416744
absolute error = 1.657919685366e-17
relative error = 2.5183731326425191269936428551794e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.439
y[1] (analytic) = 659.64761944878526365333988278405
y[1] (numeric) = 659.64761944878526363672723861428
absolute error = 1.661264416977e-17
relative error = 2.5184119035632778504300866352050e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.44
y[1] (analytic) = 660.9682344839012995334327212032
y[1] (numeric) = 660.96823448390129951678656275575
absolute error = 1.664615844745e-17
relative error = 2.5184505970166162074483445409404e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.441
y[1] (analytic) = 662.2914933928365621155410340541
y[1] (numeric) = 662.29149339283656209886129423333
absolute error = 1.667973982077e-17
relative error = 2.5184892131592657430939401166309e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.442
y[1] (analytic) = 663.61740146862845148616230949855
y[1] (numeric) = 663.61740146862845146944892107445
absolute error = 1.671338842410e-17
relative error = 2.5185277521523975822989257880363e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.443
y[1] (analytic) = 664.9459640149110386905241362155
y[1] (numeric) = 664.94596401491103867377703182354
absolute error = 1.674710439196e-17
relative error = 2.5185662141389365012167025064174e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.444
y[1] (analytic) = 666.2771863459362802759398973492
y[1] (numeric) = 666.27718634593628025915900948996
absolute error = 1.678088785924e-17
relative error = 2.5186045992766789608196962862122e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.445
y[1] (analytic) = 667.61107378659527530672062998285
y[1] (numeric) = 667.61107378659527528990589102171
absolute error = 1.681473896114e-17
relative error = 2.5186429077290744525975370035588e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.446
y[1] (analytic) = 668.94763167243956493567113812795
y[1] (numeric) = 668.94763167243956491882248029497
absolute error = 1.684865783298e-17
relative error = 2.5186811396366827857875000989629e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.447
y[1] (analytic) = 670.28686534970247461736867361385
y[1] (numeric) = 670.28686534970247460048602900339
absolute error = 1.688264461046e-17
relative error = 2.5187192951561084665106696706532e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.448
y[1] (analytic) = 671.6287801753204990485930664477
y[1] (numeric) = 671.62878017532049903167636701815
absolute error = 1.691669942955e-17
relative error = 2.5187573744433795706763231646516e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.449
y[1] (analytic) = 672.97338151695472992144809487895
y[1] (numeric) = 672.97338151695472990449727245255
absolute error = 1.695082242640e-17
relative error = 2.5187953776404966243746053991462e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.45
y[1] (analytic) = 674.3206747530123265748851362246
y[1] (numeric) = 674.32067475301232655790012248696
absolute error = 1.698501373764e-17
relative error = 2.5188333049199785810035832554384e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.451
y[1] (analytic) = 675.67066527266802963051173317615
y[1] (numeric) = 675.67066527266802961349245967629
absolute error = 1.701927349986e-17
relative error = 2.5188711564075145468824437853001e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.452
y[1] (analytic) = 677.0233584758857176987396475093
y[1] (numeric) = 677.02335847588571768168604565904
absolute error = 1.705360185026e-17
relative error = 2.5189089322783560666232560623196e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.453
y[1] (analytic) = 678.37875977344000724149925452855
y[1] (numeric) = 678.3787597734400072244112556025
absolute error = 1.708799892605e-17
relative error = 2.5189466326682936400549723054805e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.454
y[1] (analytic) = 679.7368745869378956779197579063
y[1] (numeric) = 679.73687458693789566079729304146
absolute error = 1.712246486484e-17
relative error = 2.5189842577313419082239747768792e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.455
y[1] (analytic) = 681.09770834884044781954767649325
y[1] (numeric) = 681.09770834884044780239067668873
absolute error = 1.715699980452e-17
relative error = 2.5190218076218563703667391394586e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.456
y[1] (analytic) = 682.46126650248452572184937289
y[1] (numeric) = 682.46126650248452570465776900678
absolute error = 1.719160388322e-17
relative error = 2.5190592824885855004311716257269e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=328.0MB, alloc=4.5MB, time=15.69
TOP MAIN SOLVE Loop
x[1] = 2.457
y[1] (analytic) = 683.8275545021045620389170587629
y[1] (numeric) = 683.82755450210456202169078152358
absolute error = 1.722627723932e-17
relative error = 2.5190966824761057573758515287990e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.458
y[1] (analytic) = 685.1965778128543769684717247596
y[1] (numeric) = 685.196577812854376951210704748
absolute error = 1.726102001160e-17
relative error = 2.5191340077466716469498504149105e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.459
y[1] (analytic) = 686.5683419108290388744308041245
y[1] (numeric) = 686.5683419108290388571349717856
absolute error = 1.729583233890e-17
relative error = 2.5191712584304344786613413400054e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.46
y[1] (analytic) = 687.94285228308676867448308943365
y[1] (numeric) = 687.94285228308676865715237507304
absolute error = 1.733071436061e-17
relative error = 2.5192084346969062258737594513979e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.461
y[1] (analytic) = 689.3201144276708880802884819528
y[1] (numeric) = 689.32011442767088806292281573664
absolute error = 1.736566621616e-17
relative error = 2.5192455366804979435658081963159e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.462
y[1] (analytic) = 690.70013385363181177809556368375
y[1] (numeric) = 690.70013385363181176069487563834
absolute error = 1.740068804541e-17
relative error = 2.5192825645372508709986010309569e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.463
y[1] (analytic) = 692.08291608104908363774574389075
y[1] (numeric) = 692.08291608104908362030996390234
absolute error = 1.743577998841e-17
relative error = 2.5193195184098598117139391195942e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.464
y[1] (analytic) = 693.46846664105345703820884550615
y[1] (numeric) = 693.46846664105345702073790332058
absolute error = 1.747094218557e-17
relative error = 2.5193563984522374392448034411184e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.465
y[1] (analytic) = 694.8567910758490193979714629973
y[1] (numeric) = 694.85679107584901938046528821982
absolute error = 1.750617477748e-17
relative error = 2.5193932048034146592052927214868e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.466
y[1] (analytic) = 696.24789493873536099877624274835
y[1] (numeric) = 696.24789493873536098123476484324
absolute error = 1.754147790511e-17
relative error = 2.5194299376163312718050518867676e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.467
y[1] (analytic) = 697.6417837941297881913874104716
y[1] (numeric) = 697.64178379412978817381055876194
absolute error = 1.757685170966e-17
relative error = 2.5194665970361131952735058761769e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.468
y[1] (analytic) = 699.0384632175895810722353983289
y[1] (numeric) = 699.03846321758958105462310199624
absolute error = 1.761229633266e-17
relative error = 2.5195031832143725085041867526912e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.469
y[1] (analytic) = 700.4379387958342957199713080179
y[1] (numeric) = 700.43793879583429570232349610206
absolute error = 1.764781191584e-17
relative error = 2.5195396962904997591151890437231e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.47
y[1] (analytic) = 701.84021612676811108114018577795
y[1] (numeric) = 701.84021612676811106345678717663
absolute error = 1.768339860132e-17
relative error = 2.5195761364187744015812778508345e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.471
y[1] (analytic) = 703.2453008195022205943606818038
y[1] (numeric) = 703.24530081950222057664162527245
absolute error = 1.771905653135e-17
relative error = 2.5196125037311617413653472894494e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.472
y[1] (analytic) = 704.65319849437726864257762064235
y[1] (numeric) = 704.65319849437726862482283479368
absolute error = 1.775478584867e-17
relative error = 2.5196487983885413503993211068371e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.473
y[1] (analytic) = 706.06391478298583192313332149655
y[1] (numeric) = 706.0639147829858319053427348004
absolute error = 1.779058669615e-17
relative error = 2.5196850205293487467716281128253e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.474
y[1] (analytic) = 707.4774553281949458255831786983
y[1] (numeric) = 707.47745532819494580775671948136
absolute error = 1.782645921694e-17
relative error = 2.5197211702909179586801068217068e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.475
y[1] (analytic) = 708.8938257841686759073610436472
y[1] (numeric) = 708.89382578416867588949864009258
absolute error = 1.786240355462e-17
relative error = 2.5197572478305694020690985724904e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.476
y[1] (analytic) = 710.3130318163907345575803409716
y[1] (numeric) = 710.31303181639073453968192111868
absolute error = 1.789841985292e-17
relative error = 2.5197932532859081604215738282179e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.477
y[1] (analytic) = 711.7350791016871429394376042729
y[1] (numeric) = 711.73507910168714292150309601695
absolute error = 1.793450825595e-17
relative error = 2.5198291868072527155826249109882e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.478
y[1] (analytic) = 713.15997332824893830186623128225
y[1] (numeric) = 713.15997332824893828389556237427
absolute error = 1.797066890798e-17
relative error = 2.5198650485265764812590942196813e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.479
y[1] (analytic) = 714.587720195654926751269735322
y[1] (numeric) = 714.58772019565492673326283336825
absolute error = 1.800690195375e-17
relative error = 2.5199008386009893732893426220490e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.48
y[1] (analytic) = 716.0183254148944815743456103408
y[1] (numeric) = 716.01832541489448155630240280269
absolute error = 1.804320753811e-17
relative error = 2.5199365571621260231237495085564e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.481
y[1] (analytic) = 717.45179470839038720319313121685
y[1] (numeric) = 717.45179470839038718511354541054
absolute error = 1.807958580631e-17
relative error = 2.5199722043567374708027374647808e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.482
y[1] (analytic) = 718.88813381002172891408098021815
y[1] (numeric) = 718.88813381002172889596494331426
absolute error = 1.811603690389e-17
relative error = 2.5200077803311561145205624501188e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.483
y[1] (analytic) = 720.3273484651468283514335252102
y[1] (numeric) = 720.32734846514682833328096423359
absolute error = 1.815256097661e-17
relative error = 2.5200432852214988491189325738595e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.484
y[1] (analytic) = 721.7694444306262249687778761372
y[1] (numeric) = 721.7694444306262249505887179666
absolute error = 1.818915817060e-17
relative error = 2.5200787191744681484988797541051e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.485
y[1] (analytic) = 723.21442747484570347857751420645
y[1] (numeric) = 723.2144274748457034603516855742
absolute error = 1.822582863225e-17
relative error = 2.5201140823319536126023847619142e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=331.8MB, alloc=4.5MB, time=15.89
TOP MAIN SOLVE Loop
x[1] = 2.486
y[1] (analytic) = 724.66230337773936740306232381405
y[1] (numeric) = 724.66230337773936738479975130581
absolute error = 1.826257250824e-17
relative error = 2.5201493748351366490062233711449e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.487
y[1] (analytic) = 726.1130779308127588183492612967
y[1] (numeric) = 726.11307793081275880004987135116
absolute error = 1.829938994554e-17
relative error = 2.5201845968244144743565298965777e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.488
y[1] (analytic) = 727.56675693716602438433266781855
y[1] (numeric) = 727.56675693716602436599638672715
absolute error = 1.833628109140e-17
relative error = 2.5202197484379504521802573736822e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.489
y[1] (analytic) = 729.02334621151712775300837684245
y[1] (numeric) = 729.02334621151712773463513074906
absolute error = 1.837324609339e-17
relative error = 2.5202548298171001744454971638181e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.49
y[1] (analytic) = 730.4828515802251084480812804319
y[1] (numeric) = 730.48285158022510842967099533253
absolute error = 1.841028509937e-17
relative error = 2.5202898411021897537001651145706e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.491
y[1] (analytic) = 731.94527888131338730889190382575
y[1] (numeric) = 731.94527888131338729044450556824
absolute error = 1.844739825751e-17
relative error = 2.5203247824351754734231777847093e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.492
y[1] (analytic) = 733.410633964493118591883795066
y[1] (numeric) = 733.4106339644931185733992093497
absolute error = 1.848458571630e-17
relative error = 2.5203596539609079507006313114091e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.493
y[1] (analytic) = 734.87892269118658882302016668415
y[1] (numeric) = 734.87892269118658880449831905972
absolute error = 1.852184762443e-17
relative error = 2.5203944558106908849397592712350e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.494
y[1] (analytic) = 736.3501509345506624947452303116
y[1] (numeric) = 736.35015093455066247618604618066
absolute error = 1.855918413094e-17
relative error = 2.5204291881227038963308885280897e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.495
y[1] (analytic) = 737.82432457950027470127304331995
y[1] (numeric) = 737.82432457950027468267644793472
absolute error = 1.859659538523e-17
relative error = 2.5204638510432064665108998377497e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.496
y[1] (analytic) = 739.30144952273197080617443997005
y[1] (numeric) = 739.30144952273197078754035843315
absolute error = 1.863408153690e-17
relative error = 2.5204984447047321837260430625414e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.497
y[1] (analytic) = 740.78153167274749323642074880435
y[1] (numeric) = 740.7815316727474932177491060684
absolute error = 1.867164273595e-17
relative error = 2.5205329692531410631445628946401e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.498
y[1] (analytic) = 742.2645769498774154972315039056
y[1] (numeric) = 742.26457694987741547852222477306
absolute error = 1.870927913254e-17
relative error = 2.5205674248150701575850883315401e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.499
y[1] (analytic) = 743.7505912863048235022622409258
y[1] (numeric) = 743.75059128630482348351525004849
absolute error = 1.874699087731e-17
relative error = 2.5206018115410674587648861574364e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.5
y[1] (analytic) = 745.2395806260890443138577302105
y[1] (numeric) = 745.23958062608904429507295208948
absolute error = 1.878477812102e-17
relative error = 2.5206361295569638619874419683888e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.501
y[1] (analytic) = 746.731550925189422388285639671
y[1] (numeric) = 746.73155092518942236946299865612
absolute error = 1.882264101488e-17
relative error = 2.5206703790082291661764062520042e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.502
y[1] (analytic) = 748.2265081514891434210556400396
y[1] (numeric) = 748.22650815148914340219506032926
absolute error = 1.886057971034e-17
relative error = 2.5207045600316269807741961260640e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.503
y[1] (analytic) = 749.72445828481910588761936555015
y[1] (numeric) = 749.72445828481910586872077119108
absolute error = 1.889859435907e-17
relative error = 2.5207386727525507311784593705389e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.504
y[1] (analytic) = 751.2254073169818403749374246726
y[1] (numeric) = 751.22540731698184035600073955932
absolute error = 1.893668511328e-17
relative error = 2.5207727173276513328769099616015e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.505
y[1] (analytic) = 752.7293612517754767995908190609
y[1] (numeric) = 752.72936125177547678061596693572
absolute error = 1.897485212518e-17
relative error = 2.5208066938727034625803575014979e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.506
y[1] (analytic) = 754.23632610501775960830567511815
y[1] (numeric) = 754.2363261050177595892925795706
absolute error = 1.901309554755e-17
relative error = 2.5208406025385032536761628111933e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.507
y[1] (analytic) = 755.74630790457011105695212229605
y[1] (numeric) = 755.74630790457011103790070676275
absolute error = 1.905141553330e-17
relative error = 2.5208744434522156715293044722908e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.508
y[1] (analytic) = 757.2593126903617426642704662103
y[1] (numeric) = 757.2593126903617426451806539746
absolute error = 1.908981223570e-17
relative error = 2.5209082167478997080847273968852e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.509
y[1] (analytic) = 758.7753465144138149367705036243
y[1] (numeric) = 758.77534651441381491764221781588
absolute error = 1.912828580842e-17
relative error = 2.5209419225716285309774572522466e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.51
y[1] (analytic) = 760.29441544086364546144291111135
y[1] (numeric) = 760.29441544086364544227607470607
absolute error = 1.916683640528e-17
relative error = 2.5209755610484045500150018159939e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.511
y[1] (analytic) = 761.8165255459889654631151105191
y[1] (numeric) = 761.81652554598896544390964633862
absolute error = 1.920546418048e-17
relative error = 2.5210091323124775114659595025172e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.512
y[1] (analytic) = 763.3416829182322249234778730011
y[1] (numeric) = 763.3416829182322249042337037125
absolute error = 1.924416928860e-17
relative error = 2.5210426365071695518299641585292e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.513
y[1] (analytic) = 764.8698936582249463590031701287
y[1] (numeric) = 764.86989365822494633972021824433
absolute error = 1.928295188437e-17
relative error = 2.5210760737546311508248783834466e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.514
memory used=335.7MB, alloc=4.5MB, time=16.10
y[1] (analytic) = 766.40116387881212735516841622715
y[1] (numeric) = 766.40116387881212733584660410414
absolute error = 1.932181212301e-17
relative error = 2.5211094442003325170412085063078e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.515
y[1] (analytic) = 767.93549970507669195459727136845
y[1] (numeric) = 767.93549970507669193523652120858
absolute error = 1.936075015987e-17
relative error = 2.5211427479658692159494790647007e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.516
y[1] (analytic) = 769.47290727436399099692259018725
y[1] (numeric) = 769.47290727436399097752282403649
absolute error = 1.939976615076e-17
relative error = 2.5211759851920037708320815977267e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.517
y[1] (analytic) = 771.01339273630635150837290863765
y[1] (numeric) = 771.01339273630635148893404838587
absolute error = 1.943886025178e-17
relative error = 2.5212091560163428198197917813152e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.518
y[1] (analytic) = 772.55696225284767523928005976985
y[1] (numeric) = 772.55696225284767521980202715065
absolute error = 1.947803261920e-17
relative error = 2.5212422605577525760526963694870e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.519
y[1] (analytic) = 774.1036219982680864479021013556
y[1] (numeric) = 774.10362199826808642838481794582
absolute error = 1.951728340978e-17
relative error = 2.5212752989578010666624095663738e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.52
y[1] (analytic) = 775.65337815920862902915272351685
y[1] (numeric) = 775.65337815920862900959611073631
absolute error = 1.955661278054e-17
relative error = 2.5213082713507965496907520724165e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.521
y[1] (analytic) = 777.20623693469601308702568420555
y[1] (numeric) = 777.2062369346960130674296633168
absolute error = 1.959602088875e-17
relative error = 2.5213411778624900964121770164392e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.522
y[1] (analytic) = 778.76220453616741104970059522765
y[1] (numeric) = 778.7622045361674110300650873356
absolute error = 1.963550789205e-17
relative error = 2.5213740186254871456827827624879e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.523
y[1] (analytic) = 780.3212871874953034265145522957
y[1] (numeric) = 780.32128718749530340683947834728
absolute error = 1.967507394842e-17
relative error = 2.5214067937752517933544903553314e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.524
y[1] (analytic) = 781.8834911250123743061826701242
y[1] (numeric) = 781.88349112501237428646795090815
absolute error = 1.971471921605e-17
relative error = 2.5214395034333687715710988701903e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.525
y[1] (analytic) = 783.44882259753645669584954864455
y[1] (numeric) = 783.4488225975364566760951047909
absolute error = 1.975444385365e-17
relative error = 2.5214721477471676729100803839895e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.526
y[1] (analytic) = 785.01728786639552780075305980455
y[1] (numeric) = 785.01728786639552778095881178454
absolute error = 1.979424802001e-17
relative error = 2.5215047268333335203905392953608e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.527
y[1] (analytic) = 786.58889320545275434448160693635
y[1] (numeric) = 786.58889320545275432464747506197
absolute error = 1.983413187438e-17
relative error = 2.5215372408264392168197366425578e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.528
y[1] (analytic) = 788.1636449011315880300061711142
y[1] (numeric) = 788.16364490113158801013207553792
absolute error = 1.987409557628e-17
relative error = 2.5215696898545778407574127203697e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.529
y[1] (analytic) = 789.74154925244091124186902209165
y[1] (numeric) = 789.74154925244091122195488280605
absolute error = 1.991413928560e-17
relative error = 2.5216020740520066959740578883168e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.53
y[1] (analytic) = 791.3226125710002330901119361002
y[1] (numeric) = 791.32261257100023307015767293769
absolute error = 1.995426316251e-17
relative error = 2.5216343935476295646613728569167e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.531
y[1] (analytic) = 792.9068411810649358967281298173
y[1] (numeric) = 792.90684118106493587673366244984
absolute error = 1.999446736746e-17
relative error = 2.5216666484649671346987072574368e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.532
y[1] (analytic) = 794.49424141955157222562388997345
y[1] (numeric) = 794.49424141955157220558913791211
absolute error = 2.003475206134e-17
relative error = 2.5216988389422665273192858295829e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.533
y[1] (analytic) = 796.0848196360632125572780521737
y[1] (numeric) = 796.08481963606321253720293476851
absolute error = 2.007511740519e-17
relative error = 2.5217309650958432623194799628327e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.534
y[1] (analytic) = 797.6785821929148437094900613695
y[1] (numeric) = 797.67858219291484368937449780891
absolute error = 2.011556356059e-17
relative error = 2.5217630270691089957842095891874e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.535
y[1] (analytic) = 799.2755354651588181058103308362
y[1] (numeric) = 799.275535465158818085654240147
absolute error = 2.015609068920e-17
relative error = 2.5217950249746663479167690973614e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.536
y[1] (analytic) = 800.87568584061035399345000731175
y[1] (numeric) = 800.87568584061035397325330835851
absolute error = 2.019669895324e-17
relative error = 2.5218269589544676304201437248693e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.537
y[1] (analytic) = 802.47903971987308671267104793415
y[1] (numeric) = 802.47903971987308669243365941907
absolute error = 2.023738851508e-17
relative error = 2.5218588291283477379672391035394e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.538
y[1] (analytic) = 804.08560351636467111986172060785
y[1] (numeric) = 804.08560351636467109958356107039
absolute error = 2.027815953746e-17
relative error = 2.5218906356215219679005169027449e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.539
y[1] (analytic) = 805.69538365634243526670725423685
y[1] (numeric) = 805.69538365634243524638824205328
absolute error = 2.031901218357e-17
relative error = 2.5219223785743790522539028019261e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.54
y[1] (analytic) = 807.3083865789290854380703897118
y[1] (numeric) = 807.3083865789290854177104430951
absolute error = 2.035994661670e-17
relative error = 2.5219540580988928853118313889617e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.541
y[1] (analytic) = 808.9246187361384626514020174478
y[1] (numeric) = 808.92461873613846263100105444716
absolute error = 2.040096300064e-17
relative error = 2.5219856743282713926146414519062e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.542
y[1] (analytic) = 810.5440865929013507207079334561
y[1] (numeric) = 810.54408659290135070026587195666
absolute error = 2.044206149944e-17
relative error = 2.5220172273870524290535898354609e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=339.5MB, alloc=4.5MB, time=16.29
x[1] = 2.543
y[1] (analytic) = 812.16679662709133598830400422845
y[1] (numeric) = 812.16679662709133596782076195095
absolute error = 2.048324227750e-17
relative error = 2.5220487174021887745047297688417e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.544
y[1] (analytic) = 813.792755329550718827798701934
y[1] (numeric) = 813.79275532955071880727419643441
absolute error = 2.052450549959e-17
relative error = 2.5220801445053988904545204153104e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.545
y[1] (analytic) = 815.42196920411647702194905640745
y[1] (numeric) = 815.42196920411647700138320507676
absolute error = 2.056585133069e-17
relative error = 2.5221115088134147194708380114160e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.546
y[1] (analytic) = 817.05444476764628111924356997065
y[1] (numeric) = 817.05444476764628109863629003446
absolute error = 2.060727993619e-17
relative error = 2.5221428104525265284579747915565e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.547
y[1] (analytic) = 818.6901885500445618732735561059
y[1] (numeric) = 818.690188550044561852624764624
absolute error = 2.064879148190e-17
relative error = 2.5221740495596264309226521902595e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.548
y[1] (analytic) = 820.32920709428862986916269422275
y[1] (numeric) = 820.32920709428862984847230808904
absolute error = 2.069038613371e-17
relative error = 2.5222052262405728593897728562669e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.549
y[1] (analytic) = 821.9715069564548474415333410639
y[1] (numeric) = 821.97150695645484742080127700576
absolute error = 2.073206405814e-17
relative error = 2.5222363406373296176087052580471e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.55
y[1] (analytic) = 823.61709470574485298869730550945
y[1] (numeric) = 823.6170947057448529679234800876
absolute error = 2.077382542185e-17
relative error = 2.5222673928680294846116534108120e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.551
y[1] (analytic) = 825.26597692451183778796837851005
y[1] (numeric) = 825.26597692451183776715270811819
absolute error = 2.081567039186e-17
relative error = 2.5222983830537868756548888170429e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.552
y[1] (analytic) = 826.91816020828687541720391443405
y[1] (numeric) = 826.91816020828687539634631529846
absolute error = 2.085759913559e-17
relative error = 2.5223293113234227544007698391895e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.553
y[1] (analytic) = 828.5736511658053038878931851007
y[1] (numeric) = 828.57365116580530386699357328
absolute error = 2.089961182070e-17
relative error = 2.5223601777939946876323568090437e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.554
y[1] (analytic) = 830.2324564190331605953210740297
y[1] (numeric) = 830.23245641903316057437936541437
absolute error = 2.094170861533e-17
relative error = 2.5223909825997389510680534793195e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.555
y[1] (analytic) = 831.89458260319367019154694680755
y[1] (numeric) = 831.89458260319367017056305711978
absolute error = 2.098388968777e-17
relative error = 2.5224217258521479124290616466247e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.556
y[1] (analytic) = 833.56003636679378548715022480445
y[1] (numeric) = 833.56003636679378546612406959763
absolute error = 2.102615520682e-17
relative error = 2.5224524076833022890683127887288e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.557
y[1] (analytic) = 835.22882437165078148790630461075
y[1] (numeric) = 835.22882437165078146683779926926
absolute error = 2.106850534149e-17
relative error = 2.5224830282096648657756304255002e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.558
y[1] (analytic) = 836.9009532929189026727690053564
y[1] (numeric) = 836.9009532929189026516580650952
absolute error = 2.111094026120e-17
relative error = 2.5225135875560510778339760087797e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.559
y[1] (analytic) = 838.57642981911606361974869137215
y[1] (numeric) = 838.57642981911606359859523123645
absolute error = 2.115346013570e-17
relative error = 2.5225440858459230769704952778484e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.56
y[1] (analytic) = 840.25526065215060308648860930615
y[1] (numeric) = 840.25526065215060306529254417108
absolute error = 2.119606513507e-17
relative error = 2.5225745232013203979986360926395e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.561
y[1] (analytic) = 841.9374525073480916525557976734
y[1] (numeric) = 841.93745250734809163131704224372
absolute error = 2.123875542968e-17
relative error = 2.5226048997380404193309580206300e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.562
y[1] (analytic) = 843.62301211347819303067717374535
y[1] (numeric) = 843.62301211347819300939564255495
absolute error = 2.128153119040e-17
relative error = 2.5226352155905106036382470206336e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.563
y[1] (analytic) = 845.3119462127815791543660785384
y[1] (numeric) = 845.31194621278157913304168595018
absolute error = 2.132439258822e-17
relative error = 2.5226654708665660539840751292583e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.564
y[1] (analytic) = 847.00426156099689914959966629545
y[1] (numeric) = 847.00426156099689912823232650084
absolute error = 2.136733979461e-17
relative error = 2.5226956656901346498063240992526e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.565
y[1] (analytic) = 848.69996492738780229842306112765
y[1] (numeric) = 848.69996492738780227701268814622
absolute error = 2.141037298143e-17
relative error = 2.5227258001903896208482740460201e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.566
y[1] (analytic) = 850.3990630947700151025721712638
y[1] (numeric) = 850.39906309477001508111867894307
absolute error = 2.145349232073e-17
relative error = 2.5227558744780959238611110564106e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.567
y[1] (analytic) = 852.10156285953847255542345150215
y[1] (numeric) = 852.1015628595384725339267535171
absolute error = 2.149669798505e-17
relative error = 2.5227858886809181446598816077395e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.568
y[1] (analytic) = 853.8074710316945037307957378375
y[1] (numeric) = 853.80747103169450370925574769034
absolute error = 2.153999014716e-17
relative error = 2.5228158429127175016891978930166e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.569
y[1] (analytic) = 855.5167944348730717973465457195
y[1] (numeric) = 855.51679443487307177576317673927
absolute error = 2.158336898023e-17
relative error = 2.5228457372934777532284699570366e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.57
y[1] (analytic) = 857.2295399063700685675229258467
y[1] (numeric) = 857.22953990637006854589609118886
absolute error = 2.162683465784e-17
relative error = 2.5228755719503281079352218799917e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.571
y[1] (analytic) = 858.94571429716966369024510969245
y[1] (numeric) = 858.94571429716966366857472233869
absolute error = 2.167038735376e-17
relative error = 2.5229053469917763237271740878942e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=343.3MB, alloc=4.5MB, time=16.49
TOP MAIN SOLVE Loop
x[1] = 2.572
y[1] (analytic) = 860.6653244719717085967197519637
y[1] (numeric) = 860.66532447197170857500572472139
absolute error = 2.171402724231e-17
relative error = 2.5229350625496398270715905725128e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.573
y[1] (analytic) = 862.3883773092191953089985897828
y[1] (numeric) = 862.38837730921919528724083528486
absolute error = 2.175775449794e-17
relative error = 2.5229647187300286166557490473592e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.574
y[1] (analytic) = 864.1148797011257702211177894404
y[1] (numeric) = 864.11487970112577019931622014478
absolute error = 2.180156929562e-17
relative error = 2.5229943156586517556889861223898e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.575
y[1] (analytic) = 865.84483855370330296287314196035
y[1] (numeric) = 865.84483855370330294102767014972
absolute error = 2.184547181063e-17
relative error = 2.5230238534562856155609934317012e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.576
y[1] (analytic) = 867.57826078678951045650659933675
y[1] (numeric) = 867.57826078678951043461713711823
absolute error = 2.188946221852e-17
relative error = 2.5230533322341296379139922665486e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.577
y[1] (analytic) = 869.3151533340756362768004150213
y[1] (numeric) = 869.31515333407563625486687432606
absolute error = 2.193354069524e-17
relative error = 2.5230827521087735188831348860456e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.578
y[1] (analytic) = 871.05552314313418542529636594315
y[1] (numeric) = 871.05552314313418540331865852594
absolute error = 2.197770741721e-17
relative error = 2.5231121132100971741832059936173e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.579
y[1] (analytic) = 872.79937717544671462957918991745
y[1] (numeric) = 872.79937717544671460755722735647
absolute error = 2.202196256098e-17
relative error = 2.5231414156421002212513815619000e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.58
y[1] (analytic) = 874.5467224064316782787854726313
y[1] (numeric) = 874.54672240643167825671916632764
absolute error = 2.206630630366e-17
relative error = 2.5231706595322456817378813154089e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.581
y[1] (analytic) = 876.297565825472330106721763369
y[1] (numeric) = 876.29756582547233008461102454643
absolute error = 2.211073882257e-17
relative error = 2.5231998449912026682742097624425e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.582
y[1] (analytic) = 878.0519144359446807341986891527
y[1] (numeric) = 878.05191443594468071204342885723
absolute error = 2.215526029547e-17
relative error = 2.5232289721391254222828658950186e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.583
y[1] (analytic) = 879.8097752552455111824112739106
y[1] (numeric) = 879.80977525524551116021140301018
absolute error = 2.219987090042e-17
relative error = 2.5232580410895636064704607616108e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.584
y[1] (analytic) = 881.5711553148204424694195535461
y[1] (numeric) = 881.57115531482044244717498273019
absolute error = 2.224457081591e-17
relative error = 2.5232870519641918794669227385641e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.585
y[1] (analytic) = 883.3360616601920614020079102558
y[1] (numeric) = 883.33606166019206137971855003515
absolute error = 2.228936022065e-17
relative error = 2.5233160048688726692625536587265e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.586
y[1] (analytic) = 885.1045013509881026754263310356
y[1] (numeric) = 885.10450135098810265309209174171
absolute error = 2.233423929389e-17
relative error = 2.5233448999298851844590225152767e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.587
y[1] (analytic) = 886.876481460969687393742026915
y[1] (numeric) = 886.8764814609696873713628186999
absolute error = 2.237920821510e-17
relative error = 2.5233737372575575122944377473026e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.588
y[1] (analytic) = 888.65200907805961812375553197845
y[1] (numeric) = 888.65200907805961810133126481429
absolute error = 2.242426716416e-17
relative error = 2.5234025169677235975876536354734e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.589
y[1] (analytic) = 890.43109130437073059566153556435
y[1] (numeric) = 890.43109130437073057319211924301
absolute error = 2.246941632134e-17
relative error = 2.5234312391793396959485423549811e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.59
y[1] (analytic) = 892.2137352562343021638612880872
y[1] (numeric) = 892.21373525623430214134663222004
absolute error = 2.251465586716e-17
relative error = 2.5234599039986792093717477164360e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.591
y[1] (analytic) = 893.99994806422851714156046161115
y[1] (numeric) = 893.99994806422851711900047562849
absolute error = 2.255998598266e-17
relative error = 2.5234885115495779367533106820505e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.592
y[1] (analytic) = 895.78973687320698912301384151915
y[1] (numeric) = 895.78973687320698910040843467004
absolute error = 2.260540684911e-17
relative error = 2.5235170619408026621351214982277e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.593
y[1] (analytic) = 897.5831088423273404075061762872
y[1] (numeric) = 897.58310884232734038485525763903
absolute error = 2.265091864817e-17
relative error = 2.5235455552839443409183362424484e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.594
y[1] (analytic) = 899.38007114507983863938691939265
y[1] (numeric) = 899.38007114507983861669039783065
absolute error = 2.269652156200e-17
relative error = 2.5235739917055381278164957074055e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.595
y[1] (analytic) = 901.18063096931609077870546167705
y[1] (numeric) = 901.18063096931609075596324590418
absolute error = 2.274221577287e-17
relative error = 2.5236023713035549984781263176285e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.596
y[1] (analytic) = 902.98479551727779451722277496475
y[1] (numeric) = 902.98479551727779449443477350104
absolute error = 2.278800146371e-17
relative error = 2.5236306942085130905486094058274e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.597
y[1] (analytic) = 904.7925720056255472548051693168
y[1] (numeric) = 904.79257200562554723197129049932
absolute error = 2.283387881748e-17
relative error = 2.5236589605134413473750524367005e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.598
y[1] (analytic) = 906.6039676654677127514361079097
y[1] (numeric) = 906.60396766546771272855625989184
absolute error = 2.287984801786e-17
relative error = 2.5236871703502789449484682952790e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.599
y[1] (analytic) = 908.41898974238934557031272607255
y[1] (numeric) = 908.4189897423893455473868168239
absolute error = 2.292590924865e-17
relative error = 2.5237153238233559562249627410591e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.6
y[1] (analytic) = 910.2376454964811734277248654367
y[1] (numeric) = 910.23764549648117340475280274264
absolute error = 2.297206269406e-17
relative error = 2.5237434210414456159861882923967e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=347.1MB, alloc=4.5MB, time=16.69
TOP MAIN SOLVE Loop
x[1] = 2.601
y[1] (analytic) = 912.0599422023686375656460613562
y[1] (numeric) = 912.05994220236863754262775281743
absolute error = 2.301830853877e-17
relative error = 2.5237714621242161819259724261156e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.602
y[1] (analytic) = 913.88588714924099126319801268325
y[1] (numeric) = 913.88588714924099124013336571554
absolute error = 2.306464696771e-17
relative error = 2.5237994471779666171315424961651e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.603
y[1] (analytic) = 915.7154876408804566033826185555
y[1] (numeric) = 915.7154876408804565802715403892
absolute error = 2.311107816630e-17
relative error = 2.5238273763218862745680660858666e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.604
y[1] (analytic) = 917.54875099569143961170868799795
y[1] (numeric) = 917.54875099569143958855108567776
absolute error = 2.315760232019e-17
relative error = 2.5238552496595073919450673780735e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.605
y[1] (analytic) = 919.38568454672980388357391580085
y[1] (numeric) = 919.38568454672980386036969618533
absolute error = 2.320421961552e-17
relative error = 2.5238830673070583787621158861398e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.606
y[1] (analytic) = 921.2262956417322028174966732321
y[1] (numeric) = 921.22629564173220279424574299333
absolute error = 2.325093023877e-17
relative error = 2.5239108293769720758448180369466e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.607
y[1] (analytic) = 923.07059164314547057152658562155
y[1] (numeric) = 923.07059164314547054822885124479
absolute error = 2.329773437676e-17
relative error = 2.5239385359778409001277797516962e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.608
y[1] (analytic) = 924.9185799281560718603977616473
y[1] (numeric) = 924.9185799281560718370531294306
absolute error = 2.334463221670e-17
relative error = 2.5239661872197784645880977041765e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.609
y[1] (analytic) = 926.77026788871961071122390220325
y[1] (numeric) = 926.77026788871961068783227825705
absolute error = 2.339162394620e-17
relative error = 2.5239937832154009182766106611406e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.61
y[1] (analytic) = 928.62566293159039829577035097335
y[1] (numeric) = 928.62566293159039827233164122016
absolute error = 2.343870975319e-17
relative error = 2.5240213240711045194027624099680e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.611
y[1] (analytic) = 930.48477247835107995757445522475
y[1] (numeric) = 930.48477247835107993408856539867
absolute error = 2.348588982608e-17
relative error = 2.5240488099042404596350299275541e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.612
y[1] (analytic) = 932.3476039654423215524223848035
y[1] (numeric) = 932.34760396544232152888922044997
absolute error = 2.353316435353e-17
relative error = 2.5240762408182541059089456364965e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.613
y[1] (analytic) = 934.21416484419255522092781082265
y[1] (numeric) = 934.21416484419255519734727729795
absolute error = 2.358053352470e-17
relative error = 2.5241036169295015291396268777418e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.614
y[1] (analytic) = 936.0844625808477847121955740175
y[1] (numeric) = 936.08446258084778468856757648854
absolute error = 2.362799752896e-17
relative error = 2.5241309383360581153882940040275e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.615
y[1] (analytic) = 937.95850465660145037779167716435
y[1] (numeric) = 937.95850465660145035411612060807
absolute error = 2.367555655628e-17
relative error = 2.5241582051593980339980326123195e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.616
y[1] (analytic) = 939.8362985676243539554796172613
y[1] (numeric) = 939.83629856762435393175640646444
absolute error = 2.372321079686e-17
relative error = 2.5241854175047098288653738422897e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.617
y[1] (analytic) = 941.7178518250946432624222323173
y[1] (numeric) = 941.71785182509464323865127187602
absolute error = 2.377096044128e-17
relative error = 2.5242125754769044146730988306710e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.618
y[1] (analytic) = 943.60317195522785691778787553605
y[1] (numeric) = 943.60317195522785689396906985547
absolute error = 2.381880568058e-17
relative error = 2.5242396791890135995541648598766e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.619
y[1] (analytic) = 945.4922664993070292149398473787
y[1] (numeric) = 945.49226649930702919107310067259
absolute error = 2.386674670611e-17
relative error = 2.5242667287461618207711913115720e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.62
y[1] (analytic) = 947.3851430137128552636286144036
y[1] (numeric) = 947.38514301371285523971383069395
absolute error = 2.391478370965e-17
relative error = 2.5242937242582288685060800748650e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.621
y[1] (analytic) = 949.2818090699539165228474238716
y[1] (numeric) = 949.28180906995391649888450698824
absolute error = 2.396291688336e-17
relative error = 2.5243206658344528361917847087215e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.622
y[1] (analytic) = 951.18227225469696684525348584035
y[1] (numeric) = 951.18227225469696682124233942059
absolute error = 2.401114641976e-17
relative error = 2.5243475535812512860202038057223e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.623
y[1] (analytic) = 953.0865401697972791542989408137
y[1] (numeric) = 953.08654016979727913023946830197
absolute error = 2.405947251173e-17
relative error = 2.5243743876021668477432830396754e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.624
y[1] (analytic) = 954.9946204323290528754583619324
y[1] (numeric) = 954.99462043232905285135046657972
absolute error = 2.410789535268e-17
relative error = 2.5244011680156146156656971539805e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.625
y[1] (analytic) = 956.9065206746158822431825571588
y[1] (numeric) = 956.90652067461588221902614202259
absolute error = 2.415641513621e-17
relative error = 2.5244278949191200500022067755944e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.626
y[1] (analytic) = 958.8222485442612856054519398962
y[1] (numeric) = 958.82224854426128558124690783979
absolute error = 2.420503205641e-17
relative error = 2.5244545684207330899760009241854e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.627
y[1] (analytic) = 960.7418117041792958480467269611
y[1] (numeric) = 960.74181170417929582379298065335
absolute error = 2.425374630775e-17
relative error = 2.5244811886273913962205226640543e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.628
y[1] (analytic) = 962.66521783262511206089570177695
y[1] (numeric) = 962.6652178326251120365931436918
absolute error = 2.430255808515e-17
relative error = 2.5245077556521203851198801128807e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.629
memory used=350.9MB, alloc=4.5MB, time=16.90
y[1] (analytic) = 964.5924746232258125691102490529
y[1] (numeric) = 964.59247462322581254475878146911
absolute error = 2.435146758379e-17
relative error = 2.5245342695941924573564464368488e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.63
y[1] (analytic) = 966.52358978501112945155582603505
y[1] (numeric) = 966.52358978501112942715535103576
absolute error = 2.440047499929e-17
relative error = 2.5245607305578050713625909601106e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.631
y[1] (analytic) = 968.45857104244428467005898564825
y[1] (numeric) = 968.45857104244428464560940512049
absolute error = 2.444958052776e-17
relative error = 2.5245871386571121634613194573142e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.632
y[1] (analytic) = 970.39742613545288793259450947125
y[1] (numeric) = 970.39742613545288790809572510569
absolute error = 2.449878436556e-17
relative error = 2.5246134939913101246470940326576e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.633
y[1] (analytic) = 972.34016281945989641404414449165
y[1] (numeric) = 972.34016281945989638949605778216
absolute error = 2.454808670949e-17
relative error = 2.5246397966642448877296754226049e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.634
y[1] (analytic) = 974.2867888654146364583658679545
y[1] (numeric) = 974.28678886541463643376838019769
absolute error = 2.459748775681e-17
relative error = 2.5246660467863360279310523635920e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.635
y[1] (analytic) = 976.2373120598238873862605303441
y[1] (numeric) = 976.23731205982388736161354263896
absolute error = 2.464698770514e-17
relative error = 2.5246922444641852569165162582321e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.636
y[1] (analytic) = 978.1917402047830275326711486107
y[1] (numeric) = 978.19174020478302750797456185831
absolute error = 2.469658675239e-17
relative error = 2.5247183897933758104220977703036e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.637
y[1] (analytic) = 980.15008111800724263869904116765
y[1] (numeric) = 980.15008111800724261395275607059
absolute error = 2.474628509706e-17
relative error = 2.5247444828891075357743997854623e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.638
y[1] (analytic) = 982.1123426328627967227704139338
y[1] (numeric) = 982.11234263286279669797433099594
absolute error = 2.479608293786e-17
relative error = 2.5247705238472267006647901353453e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.639
y[1] (analytic) = 984.07853259839836555613692378325
y[1] (numeric) = 984.07853259839836553129094330922
absolute error = 2.484598047403e-17
relative error = 2.5247965127768541681717087698121e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.64
y[1] (analytic) = 986.04865887937643286804416318155
y[1] (numeric) = 986.04865887937643284314818527638
absolute error = 2.489597790517e-17
relative error = 2.5248224497829301244125118438983e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.641
y[1] (analytic) = 988.02272935630474940615292854455
y[1] (numeric) = 988.02272935630474938120685311334
absolute error = 2.494607543121e-17
relative error = 2.5248483349631368113216928522838e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.642
y[1] (analytic) = 990.0007519254678549780495559504
y[1] (numeric) = 990.00075192546785495305328269778
absolute error = 2.499627325262e-17
relative error = 2.5248741684291006353533903779703e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.643
y[1] (analytic) = 991.9827344989586635999335322748
y[1] (numeric) = 991.9827344989586635748869607047
absolute error = 2.504657157010e-17
relative error = 2.5248999502749201026792138070888e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.644
y[1] (analytic) = 993.9686850047101118788230186146
y[1] (numeric) = 993.96868500471011185372604802966
absolute error = 2.509697058494e-17
relative error = 2.5249256806134765881065932864473e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.645
y[1] (analytic) = 995.9586113865268707548718570183
y[1] (numeric) = 995.95861138652687072972438651962
absolute error = 2.514747049868e-17
relative error = 2.5249513595420266437035314575881e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.646
y[1] (analytic) = 997.9525216041171207306450720751
y[1] (numeric) = 997.95252160411712070544700056181
absolute error = 2.519807151329e-17
relative error = 2.5249769871603121814304963651488e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.647
y[1] (analytic) = 999.9504236331243907144538268308
y[1] (numeric) = 999.95042363312439068920505299954
absolute error = 2.524877383126e-17
relative error = 2.5250025635794538689657860251447e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.648
y[1] (analytic) = 1001.952325465159460605105248822
y[1] (numeric) = 1001.9523254651594605798056711666
absolute error = 2.52995776554e-17
relative error = 2.5250280889017941009854952060089e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.649
y[1] (analytic) = 1003.9582351078323277456775077652
y[1] (numeric) = 1003.9582351078323277203270245765
absolute error = 2.53504831887e-17
relative error = 2.5250535632069571067335052883011e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.65
y[1] (analytic) = 1005.9681605847842373741860026234
y[1] (numeric) = 1005.9681605847842373487845119883
absolute error = 2.54014906351e-17
relative error = 2.5250789866285366432421169118715e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.651
y[1] (analytic) = 1007.9821099357197771992625034203
y[1] (numeric) = 1007.9821099357197771738099032218
absolute error = 2.54526001985e-17
relative error = 2.5251043592552592732107532781332e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.652
y[1] (analytic) = 1010.000091216439036229225593314
y[1] (numeric) = 1010.0000912164390362037217812307
absolute error = 2.55038120833e-17
relative error = 2.5251296811848142352796551576871e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.653
y[1] (analytic) = 1012.0221124988698279831777700889
y[1] (numeric) = 1012.0221124988698279576226435946
absolute error = 2.55551264943e-17
relative error = 2.5251549525138007885825431155657e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.654
y[1] (analytic) = 1014.0481818710999782130220944186
y[1] (numeric) = 1014.0481818710999781874155507818
absolute error = 2.56065436368e-17
relative error = 2.5251801733475182931303157272650e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.655
y[1] (analytic) = 1016.0783074374096772655493160172
y[1] (numeric) = 1016.0783074374096772398912523005
absolute error = 2.56580637167e-17
relative error = 2.5252053438096388229799943766559e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.656
y[1] (analytic) = 1018.112497318303897214004969163
y[1] (numeric) = 1018.1124973183038971882952822232
absolute error = 2.57096869398e-17
relative error = 2.5252304639731863560003082957991e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.657
y[1] (analytic) = 1020.1507596505448738888050070877
y[1] (numeric) = 1020.1507596505448738630435935751
absolute error = 2.57614135126e-17
relative error = 2.5252555339393792061437848735641e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=354.7MB, alloc=4.5MB, time=17.10
x[1] = 2.658
y[1] (analytic) = 1022.193102587184653937328141401
y[1] (numeric) = 1022.1931025871846539115148977588
absolute error = 2.58132436422e-17
relative error = 2.5252805538274841654196022547899e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.659
y[1] (analytic) = 1024.2395342975977070429731691166
y[1] (numeric) = 1024.239534297597707017107991581
absolute error = 2.58651775356e-17
relative error = 2.5253055237062103741858467158536e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.66
y[1] (analytic) = 1026.2900629675136034339302069935
y[1] (numeric) = 1026.2900629675136034080129915926
absolute error = 2.59172154009e-17
relative error = 2.5253304437110572376795646676221e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.661
y[1] (analytic) = 1028.3446967990497568123759118444
y[1] (numeric) = 1028.3446967990497567864065543984
absolute error = 2.59693574460e-17
relative error = 2.5253553139171492848830336494720e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.662
y[1] (analytic) = 1030.403444010744232835064447253
y[1] (numeric) = 1030.4034440107442328090428433734
absolute error = 2.60216038796e-17
relative error = 2.5253801344368048597463389429247e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.663
y[1] (analytic) = 1032.4663128375886232765481628051
y[1] (numeric) = 1032.4663128375886232504742078944
absolute error = 2.60739549107e-17
relative error = 2.5254049053706554079749493514782e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.664
y[1] (analytic) = 1034.5333115310609860065246825516
y[1] (numeric) = 1034.533311531060985980398271803
absolute error = 2.61264107486e-17
relative error = 2.5254296268076793249796324428679e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.665
y[1] (analytic) = 1036.6044483591588509130703560094
y[1] (numeric) = 1036.6044483591588508868913844063
absolute error = 2.61789716031e-17
relative error = 2.5254542988445296889113145426213e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.666
y[1] (analytic) = 1038.6797316064322919037838086437
y[1] (numeric) = 1038.6797316064322918775521709591
absolute error = 2.62316376846e-17
relative error = 2.5254789215950032141548027072064e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.667
y[1] (analytic) = 1040.7591695740170651171276404998
y[1] (numeric) = 1040.7591695740170650908432312962
absolute error = 2.62844092036e-17
relative error = 2.5255034951417448389308281973138e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.668
y[1] (analytic) = 1042.842770579667813476521162538
y[1] (numeric) = 1042.8427705796678134501838761667
absolute error = 2.63372863713e-17
relative error = 2.5255280195940109888360744489643e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.669
y[1] (analytic) = 1044.9305429577913377200024313132
y[1] (numeric) = 1044.930542957791337693612161914
absolute error = 2.63902693992e-17
relative error = 2.5255524950490419269273194575595e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.67
y[1] (analytic) = 1047.0224950594799340385437450098
y[1] (numeric) = 1047.0224950594799340121003865107
absolute error = 2.64433584991e-17
relative error = 2.5255769215920989847447676705336e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.671
y[1] (analytic) = 1049.1186352525447984563711985441
y[1] (numeric) = 1049.1186352525447984298746446605
absolute error = 2.64965538836e-17
relative error = 2.5256012993441609478950677955579e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.672
y[1] (analytic) = 1051.2189719215494980869058635504
y[1] (numeric) = 1051.2189719215494980603560077851
absolute error = 2.65498557653e-17
relative error = 2.5256256283853832483831989754635e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.673
y[1] (analytic) = 1053.3235134678435093982116616457
y[1] (numeric) = 1053.3235134678435093716083972883
absolute error = 2.66032643574e-17
relative error = 2.5256499088123850541537664380251e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.674
y[1] (analytic) = 1055.4322683095958236221030374812
y[1] (numeric) = 1055.4322683095958235954462576075
absolute error = 2.66567798737e-17
relative error = 2.5256741407380031270724523080970e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.675
y[1] (analytic) = 1057.5452448818286194413341128176
y[1] (numeric) = 1057.5452448818286194146237102896
absolute error = 2.67104025280e-17
relative error = 2.5256983242343123180980097216021e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.676
y[1] (analytic) = 1059.6624516364510030895601152801
y[1] (numeric) = 1059.6624516364510030627959827451
absolute error = 2.67641325350e-17
relative error = 2.5257224594178825037725696385054e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.677
y[1] (analytic) = 1061.783897042292815999031526623
y[1] (numeric) = 1061.7838970422928159722135565135
absolute error = 2.68179701095e-17
relative error = 2.5257465463739078217099943149568e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.678
y[1] (analytic) = 1063.9095895851385101312515863595
y[1] (numeric) = 1063.9095895851385101043796708925
absolute error = 2.68719154670e-17
relative error = 2.5257705852128327446019697627286e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.679
y[1] (analytic) = 1066.039537767761091126098518552
y[1] (numeric) = 1066.0395377677610910991725497288
absolute error = 2.69259688232e-17
relative error = 2.5257945760231153606379906295113e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.68
y[1] (analytic) = 1068.1737501099561294051851235114
y[1] (numeric) = 1068.1737501099561293782049931171
absolute error = 2.69801303943e-17
relative error = 2.5258185188994494314074644801405e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.681
y[1] (analytic) = 1070.3122351485758393655001931896
y[1] (numeric) = 1070.3122351485758393384657927927
absolute error = 2.70344003969e-17
relative error = 2.5258424139332769967306616745648e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.682
y[1] (analytic) = 1072.4550014375632267996485702722
y[1] (numeric) = 1072.455001437563226772559791224
absolute error = 2.70887790482e-17
relative error = 2.5258662612313873747987959294666e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.683
y[1] (analytic) = 1074.6020575479863046792795774588
y[1] (numeric) = 1074.6020575479863046521363108932
absolute error = 2.71432665656e-17
relative error = 2.5258900608784586008968461753248e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.684
y[1] (analytic) = 1076.7534120680723774385669962686
y[1] (numeric) = 1076.7534120680723774113691331016
absolute error = 2.71978631670e-17
relative error = 2.5259138129650570743179151525410e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.685
y[1] (analytic) = 1078.9090736032423938948777750016
y[1] (numeric) = 1078.9090736032423938676252059306
absolute error = 2.72525690710e-17
relative error = 2.5259375176060340768405522776606e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.686
y[1] (analytic) = 1081.069050776145368944041194334
y[1] (numeric) = 1081.0690507761453689167338098378
absolute error = 2.73073844962e-17
relative error = 2.5259611748754503072564790035733e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=358.5MB, alloc=4.5MB, time=17.29
TOP MAIN SOLVE Loop
x[1] = 2.687
y[1] (analytic) = 1083.2333522266928741679053175223
y[1] (numeric) = 1083.2333522266928741405430078603
absolute error = 2.73623096620e-17
relative error = 2.5259847848807532368251748807836e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.688
y[1] (analytic) = 1085.4019866120935974921432014264
y[1] (numeric) = 1085.4019866120935974647258566383
absolute error = 2.74173447881e-17
relative error = 2.5260083477162962028624367070189e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.689
y[1] (analytic) = 1087.5749626068879720325475456584
y[1] (numeric) = 1087.5749626068879720050750555638
absolute error = 2.74724900946e-17
relative error = 2.5260318634725811618008986526285e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.69
y[1] (analytic) = 1089.7522889029828742683292112061
y[1] (numeric) = 1089.752288902982874240801465404
absolute error = 2.75277458021e-17
relative error = 2.5260553322453912531067035467889e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.691
y[1] (analytic) = 1091.9339742096863916812123479905
y[1] (numeric) = 1091.9339742096863916536292358589
absolute error = 2.75831121316e-17
relative error = 2.5260787541264978178475856048406e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.692
y[1] (analytic) = 1094.1200272537426599993967340941
y[1] (numeric) = 1094.1200272537426599717581447895
absolute error = 2.76385893046e-17
relative error = 2.5261021292127578671068553835673e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.693
y[1] (analytic) = 1096.3104567793667701857363489589
y[1] (numeric) = 1096.3104567793667701580421714159
absolute error = 2.76941775430e-17
relative error = 2.5261254575968595532840291439373e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.694
y[1] (analytic) = 1098.5052715482797453097621798115
y[1] (numeric) = 1098.5052715482797452820123027424
absolute error = 2.77498770691e-17
relative error = 2.5261487393672813906462631418350e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.695
y[1] (analytic) = 1100.7044803397435874434567960422
y[1] (numeric) = 1100.7044803397435874156511079365
absolute error = 2.78056881057e-17
relative error = 2.5261719746173371356173500802338e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.696
y[1] (analytic) = 1102.9080919505963947209683213654
y[1] (numeric) = 1102.9080919505963946931067104893
absolute error = 2.78616108761e-17
relative error = 2.5261951634450453816351525492806e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.697
y[1] (analytic) = 1105.1161151952875487027320894402
y[1] (numeric) = 1105.1161151952875486748144438361
absolute error = 2.79176456041e-17
relative error = 2.5262183059530002596536836380532e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.698
y[1] (analytic) = 1107.3285589059129721847494863539
y[1] (numeric) = 1107.3285589059129721567756938403
absolute error = 2.79737925136e-17
relative error = 2.5262414022121202647298192006826e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.699
y[1] (analytic) = 1109.5454319322504575940552640954
y[1] (numeric) = 1109.545431932250457566025212266
absolute error = 2.80300518294e-17
relative error = 2.5262644523339836170332067817638e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.7
y[1] (analytic) = 1111.7667431417950661116869539898
y[1] (numeric) = 1111.7667431417950660836005302135
absolute error = 2.80864237763e-17
relative error = 2.5262874563893884196751343158551e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.701
y[1] (analytic) = 1113.9925014197945976647529191742
y[1] (numeric) = 1113.9925014197945976366100105942
absolute error = 2.81429085800e-17
relative error = 2.5263104144894674977467544085979e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.702
y[1] (analytic) = 1116.2227156692851319294790616766
y[1] (numeric) = 1116.2227156692851319012795552103
absolute error = 2.81995064663e-17
relative error = 2.5263333267135337468317806422554e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.703
y[1] (analytic) = 1118.4573948111266404873982436756
y[1] (numeric) = 1118.4573948111266404591420260139
absolute error = 2.82562176617e-17
relative error = 2.5263561931629602945476128457546e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.704
y[1] (analytic) = 1120.6965477840386702771310951794
y[1] (numeric) = 1120.6965477840386702488180527865
absolute error = 2.83130423929e-17
relative error = 2.5263790139162632374141180404682e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.705
y[1] (analytic) = 1122.9401835446360984844920628274
y[1] (numeric) = 1122.9401835446360984561220819399
absolute error = 2.83699808875e-17
relative error = 2.5264017890915836844578561876333e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.706
y[1] (analytic) = 1125.1883110674649590139403079091
y[1] (numeric) = 1125.1883110674649589855132745361
absolute error = 2.84270333730e-17
relative error = 2.5264245187573361428122962881325e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.707
y[1] (analytic) = 1127.4409393450383406846813871752
y[1] (numeric) = 1127.4409393450383406561971870976
absolute error = 2.84842000776e-17
relative error = 2.5264472030035791074357915214344e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.708
y[1] (analytic) = 1129.6980773878723572950125487103
y[1] (numeric) = 1129.6980773878723572664710674802
absolute error = 2.85414812301e-17
relative error = 2.5264698419328655604808484523815e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.709
y[1] (analytic) = 1131.9597342245221896987919482085
y[1] (numeric) = 1131.959734224522189670193071149
absolute error = 2.85988770595e-17
relative error = 2.5264924356246989842980655267329e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.71
y[1] (analytic) = 1134.2259189016182000382001395859
y[1] (numeric) = 1134.2259189016182000095437517905
absolute error = 2.86563877954e-17
relative error = 2.5265149841709472447465698168215e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.711
y[1] (analytic) = 1136.4966404839021182772508191271
y[1] (numeric) = 1136.4966404839021182485368054592
absolute error = 2.87140136679e-17
relative error = 2.5265374876668382915862676763628e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.712
y[1] (analytic) = 1138.7719080542633011807970054581
y[1] (numeric) = 1138.7719080542633011520252505506
absolute error = 2.87717549075e-17
relative error = 2.5265599462020628951868201352872e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.713
y[1] (analytic) = 1141.0517307137750638840686197156
y[1] (numeric) = 1141.0517307137750638552390079704
absolute error = 2.88296117452e-17
relative error = 2.5265823598695113627107674389261e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.714
y[1] (analytic) = 1143.3361175817310841980677925047
y[1] (numeric) = 1143.3361175817310841691802080924
absolute error = 2.88875844123e-17
relative error = 2.5266047287476666774497204832912e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.715
y[1] (analytic) = 1145.625077795681879796439167766
y[1] (numeric) = 1145.6250777956818797674934946251
absolute error = 2.89456731409e-17
relative error = 2.5266270529443103635629773319452e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=362.4MB, alloc=4.5MB, time=17.50
TOP MAIN SOLVE Loop
x[1] = 2.716
y[1] (analytic) = 1147.9186205114713584297239996682
y[1] (numeric) = 1147.9186205114713584007201215051
absolute error = 2.90038781631e-17
relative error = 2.5266493325264566521424121409132e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.717
y[1] (analytic) = 1150.2167549032734413131989482787
y[1] (numeric) = 1150.2167549032734412841367485668
absolute error = 2.90621997119e-17
relative error = 2.5266715675989229053315510319803e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.718
y[1] (analytic) = 1152.5194901636287598347931741954
y[1] (numeric) = 1152.519490163628759805672536175
absolute error = 2.91206380204e-17
relative error = 2.5266937582344574787692162924329e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.719
y[1] (analytic) = 1154.8268355034814257298706127401
y[1] (numeric) = 1154.8268355034814257006914194174
absolute error = 2.91791933227e-17
relative error = 2.5267159045519110005456914910508e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.72
y[1] (analytic) = 1157.1388001522158748699581758666
y[1] (numeric) = 1157.1388001522158748407203100139
absolute error = 2.92378658527e-17
relative error = 2.5267380066119901638043610249800e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.721
y[1] (analytic) = 1159.4553933576937848127950858242
y[1] (numeric) = 1159.4553933576937847834984299791
absolute error = 2.92966558451e-17
relative error = 2.5267600645040025521824806247449e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.722
y[1] (analytic) = 1161.7766243862910662613735899954
y[1] (numeric) = 1161.7766243862910662320180264602
absolute error = 2.93555635352e-17
relative error = 2.5267820783282747964400780782051e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.723
y[1] (analytic) = 1164.102502522934928579936942393
y[1] (numeric) = 1164.1025025229349285505223532344
absolute error = 2.94145891586e-17
relative error = 2.5268040481701893168292722251493e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.724
y[1] (analytic) = 1166.4330370711410195151967652295
y[1] (numeric) = 1166.4330370711410194857230322781
absolute error = 2.94737329514e-17
relative error = 2.5268259741173972116016190722620e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.725
y[1] (analytic) = 1168.768237353050639271328724948
y[1] (numeric) = 1168.7682373530506392417957297978
absolute error = 2.95329951502e-17
relative error = 2.5268478562597134892930202000960e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.726
y[1] (analytic) = 1171.1081127094680290876028723158
y[1] (numeric) = 1171.1081127094680290580104963238
absolute error = 2.95923759920e-17
relative error = 2.5268696946804743317787308161231e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.727
y[1] (analytic) = 1173.45267249989773446780300682
y[1] (numeric) = 1173.4526724998977344381511311058
absolute error = 2.96518757142e-17
relative error = 2.5268914894565195290421679309359e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.728
y[1] (analytic) = 1175.801926102582043210888032861
y[1] (numeric) = 1175.801926102582043181176538306
absolute error = 2.97114945550e-17
relative error = 2.5269132406921946790153056554297e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.729
y[1] (analytic) = 1178.1558829145384983926474803053
y[1] (numeric) = 1178.1558829145384983628762475524
absolute error = 2.97712327529e-17
relative error = 2.5269349484765554195861061600533e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.73
y[1] (analytic) = 1180.5145523515974864484031660384
y[1] (numeric) = 1180.5145523515974864185720754917
absolute error = 2.98310905467e-17
relative error = 2.5269566128834372950160913309734e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.731
y[1] (analytic) = 1182.8779438484399005071093774415
y[1] (numeric) = 1182.8779438484399004772183092656
absolute error = 2.98910681759e-17
relative error = 2.5269782340053413596848827354188e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.732
y[1] (analytic) = 1185.2460668586348791275049644098
y[1] (numeric) = 1185.2460668586348790975537985294
absolute error = 2.99511658804e-17
relative error = 2.5269998119278548374697567516045e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.733
y[1] (analytic) = 1187.6189308546776205872723348403
y[1] (numeric) = 1187.6189308546776205572609509396
absolute error = 3.00113839007e-17
relative error = 2.5270213467464781890850085653955e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.734
y[1] (analytic) = 1189.9965453280272728764605606426
y[1] (numeric) = 1189.9965453280272728463888381651
absolute error = 3.00717224775e-17
relative error = 2.5270428385328303866916569768583e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.735
y[1] (analytic) = 1192.378919789144899546732618487
y[1] (numeric) = 1192.3789197891448995166004366348
absolute error = 3.01321818522e-17
relative error = 2.5270642873767379199950017769927e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.736
y[1] (analytic) = 1194.7660637675315215683002128984
y[1] (numeric) = 1194.7660637675315215381074506318
absolute error = 3.01927622666e-17
relative error = 2.5270856933608617845728472244583e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.737
y[1] (analytic) = 1197.1579868117662353467136601586
y[1] (numeric) = 1197.1579868117662353164601961955
absolute error = 3.02534639631e-17
relative error = 2.5271070565773929677181764941101e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.738
y[1] (analytic) = 1199.5546984895444070519789510002
y[1] (numeric) = 1199.5546984895444070216646638157
absolute error = 3.03142871845e-17
relative error = 2.5271283771112023414232558777623e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.739
y[1] (analytic) = 1201.9562083877159434127793594866
y[1] (numeric) = 1201.9562083877159433824041273124
absolute error = 3.03752321742e-17
relative error = 2.5271496550564708987671374889986e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.74
y[1] (analytic) = 1204.3625261123236391288848259912
y[1] (numeric) = 1204.3625261123236390984485268155
absolute error = 3.04362991757e-17
relative error = 2.5271708904749988616644019600358e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.741
y[1] (analytic) = 1206.7736612886416010551388150452
y[1] (numeric) = 1206.7736612886416010246413266117
absolute error = 3.04974884335e-17
relative error = 2.5271920834710256663888615792943e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.742
y[1] (analytic) = 1209.1896235612137493107194352314
y[1] (numeric) = 1209.189623561213749280160635039
absolute error = 3.05588001924e-17
relative error = 2.5272132341328347518945279404475e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.743
y[1] (analytic) = 1211.6104225938923954676793095044
y[1] (numeric) = 1211.610422593892395437059074807
absolute error = 3.06202346974e-17
relative error = 2.5272343425245765527179442440268e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.744
y[1] (analytic) = 1214.0360680698768979730770015352
y[1] (numeric) = 1214.0360680698768979423952093409
memory used=366.2MB, alloc=4.5MB, time=17.70
absolute error = 3.06817921943e-17
relative error = 2.5272554087358492150266643057822e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.745
y[1] (analytic) = 1216.4665696917523949593217381447
y[1] (numeric) = 1216.4665696917523949285782652151
absolute error = 3.07434729296e-17
relative error = 2.5272764328731425046139119617468e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.746
y[1] (analytic) = 1218.901937181528614597662720849
y[1] (numeric) = 1218.9019371815286145668574436992
absolute error = 3.08052771498e-17
relative error = 2.5272974150021579640646711092473e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.747
y[1] (analytic) = 1221.3421802806787631500644922228
y[1] (numeric) = 1221.3421802806787631191972871208
absolute error = 3.08672051020e-17
relative error = 2.5273183551972596328219646025913e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.748
y[1] (analytic) = 1223.7873087501784908750206164312
y[1] (numeric) = 1223.7873087501784908440913593971
absolute error = 3.09292570341e-17
relative error = 2.5273392535576488041473640945585e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.749
y[1] (analytic) = 1226.237332370544935943169349139
y[1] (numeric) = 1226.2373323705449359121779159447
absolute error = 3.09914331943e-17
relative error = 2.5273601101662589977917277520342e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.75
y[1] (analytic) = 1228.6922609418758465188870113203
y[1] (numeric) = 1228.6922609418758464878332774891
absolute error = 3.10537338312e-17
relative error = 2.5273809250979744526897707850739e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.751
y[1] (analytic) = 1231.1521042838887811643474455038
y[1] (numeric) = 1231.1521042838887811332312863097
absolute error = 3.11161591941e-17
relative error = 2.5274016984439958462809339515445e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.752
y[1] (analytic) = 1233.6168722359603877228492229584
y[1] (numeric) = 1233.6168722359603876916705134257
absolute error = 3.11787095327e-17
relative error = 2.5274224302872767643291346891468e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.753
y[1] (analytic) = 1236.0865746571657608385261875004
y[1] (numeric) = 1236.0865746571657608072848024033
absolute error = 3.12413850971e-17
relative error = 2.5274431207025236394222230864991e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.754
y[1] (analytic) = 1238.5612214263178782698714672414
y[1] (numeric) = 1238.5612214263178782385672811033
absolute error = 3.13041861381e-17
relative error = 2.5274637697804176675924213019165e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.755
y[1] (analytic) = 1241.040822442007116154820260954
y[1] (numeric) = 1241.0408224420071161234531480471
absolute error = 3.13671129069e-17
relative error = 2.5274843776032001622016336163975e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.756
y[1] (analytic) = 1243.5253876226408433854525120738
y[1] (numeric) = 1243.5253876226408433540223464185
absolute error = 3.14301656553e-17
relative error = 2.5275049442607577338061861882679e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.757
y[1] (analytic) = 1246.0149269064830952506930219406
y[1] (numeric) = 1246.0149269064830952191996773054
absolute error = 3.14933446352e-17
relative error = 2.5275254698103358745811401904198e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.758
y[1] (analytic) = 1248.509450251694326505703625979
y[1] (numeric) = 1248.5094502516943264741469758794
absolute error = 3.15566500996e-17
relative error = 2.5275459543568781344073363966523e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.759
y[1] (analytic) = 1251.0089676363712440269797633882
y[1] (numeric) = 1251.0089676363712439953596810867
absolute error = 3.16200823015e-17
relative error = 2.5275663979645394715755972716551e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.76
y[1] (analytic) = 1253.5134890585867192124821138409
y[1] (numeric) = 1253.513489058586719180798472346
absolute error = 3.16836414949e-17
relative error = 2.5275868007367864725228002007040e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.761
y[1] (analytic) = 1256.0230245364297802864529549312
y[1] (numeric) = 1256.0230245364297802547056269974
absolute error = 3.17473279338e-17
relative error = 2.5276071627363068505684480012096e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.762
y[1] (analytic) = 1258.5375841080456846688865129631
y[1] (numeric) = 1258.5375841080456846370753710899
absolute error = 3.18111418732e-17
relative error = 2.5276274840647911535841146605027e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.763
y[1] (analytic) = 1261.0571778316760715699428383879
y[1] (numeric) = 1261.0571778316760715380677548197
absolute error = 3.18750835682e-17
relative error = 2.5276477647910930819483348678488e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.764
y[1] (analytic) = 1263.5818157856991949699156370852
y[1] (numeric) = 1263.5818157856991949379764838107
absolute error = 3.19391532745e-17
relative error = 2.5276680049910446703661396882912e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.765
y[1] (analytic) = 1266.1115080686702371456860310012
y[1] (numeric) = 1266.1115080686702371136826797528
absolute error = 3.20033512484e-17
relative error = 2.5276882047473049676677049685270e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.766
y[1] (analytic) = 1268.6462647993617029049164077119
y[1] (numeric) = 1268.646264799361702872848729965
absolute error = 3.20676777469e-17
relative error = 2.5277083641570923647006350064381e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.767
y[1] (analytic) = 1271.1860961168038946895613495439
y[1] (numeric) = 1271.1860961168038946574292165169
absolute error = 3.21321330270e-17
relative error = 2.5277284832768903007538256369130e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.768
y[1] (analytic) = 1273.731012180325468710596110266
y[1] (numeric) = 1273.7310121803254686783993929193
absolute error = 3.21967173467e-17
relative error = 2.5277485622012809685272219807742e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.769
y[1] (analytic) = 1276.2810231695940722761872323372
y[1] (numeric) = 1276.2810231695940722439258013729
absolute error = 3.22614309643e-17
relative error = 2.5277686010076367242069650133345e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.77
y[1] (analytic) = 1278.8361392846570624758546715795
y[1] (numeric) = 1278.8361392846570624435283974408
absolute error = 3.23262741387e-17
relative error = 2.5277885997796681929918198776188e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.771
y[1] (analytic) = 1281.3963707459823063835002202136
y[1] (numeric) = 1281.3963707459823063511089730844
absolute error = 3.23912471292e-17
relative error = 2.5278085585916710075944994369569e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.772
y[1] (analytic) = 1283.9617277944990629425030947724
y[1] (numeric) = 1283.9617277944990629100467445768
absolute error = 3.24563501956e-17
relative error = 2.5278284775163260324611721969268e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=370.0MB, alloc=4.5MB, time=17.90
x[1] = 2.773
y[1] (analytic) = 1286.5322206916389466964102837842
y[1] (numeric) = 1286.5322206916389466638887001857
absolute error = 3.25215835985e-17
relative error = 2.5278483566479521400558150789078e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.774
y[1] (analytic) = 1289.1078597193769735290766326038
y[1] (numeric) = 1289.1078597193769734964896850049
absolute error = 3.25869475989e-17
relative error = 2.5278681960711790429243738981165e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.775
y[1] (analytic) = 1291.688655180272688578437680681
y[1] (numeric) = 1291.6886551802726885457852382229
absolute error = 3.26524424581e-17
relative error = 2.5278879958532196247882827270341e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.776
y[1] (analytic) = 1294.2746173975113764884269611948
y[1] (numeric) = 1294.2746173975113764557088927567
absolute error = 3.27180684381e-17
relative error = 2.5279077560748669988379359191238e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.777
y[1] (analytic) = 1296.8657567149453541638788256688
y[1] (numeric) = 1296.8657567149453541310949998674
absolute error = 3.27838258014e-17
relative error = 2.5279274768148554573970897464858e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.778
y[1] (analytic) = 1299.4620834971353461935878682366
y[1] (numeric) = 1299.4620834971353461607381534256
absolute error = 3.28497148110e-17
relative error = 2.5279471581497989075023307924618e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.779
y[1] (analytic) = 1302.0636081293919431070266969626
y[1] (numeric) = 1302.063608129391943074110961232
absolute error = 3.29157357306e-17
relative error = 2.5279668001694902324741242540337e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.78
y[1] (analytic) = 1304.6703410178171426305551343654
y[1] (numeric) = 1304.6703410178171425975732455414
absolute error = 3.29818888240e-17
relative error = 2.5279864029306990321863074476148e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.781
y[1] (analytic) = 1307.2822925893459741092859273717
y[1] (numeric) = 1307.2822925893459740762377530156
absolute error = 3.30481743561e-17
relative error = 2.5280059665339135956864807065439e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.782
y[1] (analytic) = 1309.899473291788206261104709659
y[1] (numeric) = 1309.8994732917882062279901170671
absolute error = 3.31145925919e-17
relative error = 2.5280254910464812261094778061420e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.783
y[1] (analytic) = 1312.5218935938701384296752880812
y[1] (numeric) = 1312.5218935938701383964941442841
absolute error = 3.31811437971e-17
relative error = 2.5280449765485699062702457889439e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.784
y[1] (analytic) = 1315.1495639852764755035953209172
y[1] (numeric) = 1315.1495639852764754703474926793
absolute error = 3.32478282379e-17
relative error = 2.5280644231177512054151913731368e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.785
y[1] (analytic) = 1317.7824949766922866692021203996
y[1] (numeric) = 1317.7824949766922866358874742185
absolute error = 3.33146461811e-17
relative error = 2.5280838308365325897012793618940e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.786
y[1] (analytic) = 1320.4206970998450481648636466911
y[1] (numeric) = 1320.4206970998450481314820487972
absolute error = 3.33815978939e-17
relative error = 2.5281031997770793911241695768169e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.787
y[1] (analytic) = 1323.0641809075467702049257665308
y[1] (numeric) = 1323.0641809075467701714770828868
absolute error = 3.34486836440e-17
relative error = 2.5281225300087941034033688316733e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.788
y[1] (analytic) = 1325.7129569737362082418235285072
y[1] (numeric) = 1325.7129569737362082083076248072
absolute error = 3.35159037000e-17
relative error = 2.5281418216284346011248844811409e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.789
y[1] (analytic) = 1328.3670358935211587352015596852
y[1] (numeric) = 1328.3670358935211587016183013545
absolute error = 3.35832583307e-17
relative error = 2.5281610747070628616273308196329e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.79
y[1] (analytic) = 1331.0264282832208395972267164636
y[1] (numeric) = 1331.0264282832208395635759686582
absolute error = 3.36507478054e-17
relative error = 2.5281802893127578499197772318970e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.791
y[1] (analytic) = 1333.6911447804083554836148274206
y[1] (numeric) = 1333.6911447804083554498964550264
absolute error = 3.37183723942e-17
relative error = 2.5281994655330574893348715663505e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.792
y[1] (analytic) = 1336.3611960439532481002327488742
y[1] (numeric) = 1336.3611960439532480664466165068
absolute error = 3.37861323674e-17
relative error = 2.5282186034297845479133672247113e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.793
y[1] (analytic) = 1339.0365927540641316954770163006
y[1] (numeric) = 1339.0365927540641316616229883042
absolute error = 3.38540279964e-17
relative error = 2.5282377031064335780954371030132e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.794
y[1] (analytic) = 1341.7173456123314139089711179704
y[1] (numeric) = 1341.7173456123314138750490584181
absolute error = 3.39220595523e-17
relative error = 2.5282567646033292955645010388570e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.795
y[1] (analytic) = 1344.4034653417701021474648425564
y[1] (numeric) = 1344.4034653417701021134746152489
absolute error = 3.39902273075e-17
relative error = 2.5282757880171864371625998617899e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.796
y[1] (analytic) = 1347.0949626868626956591612613818
y[1] (numeric) = 1347.094962686862695625102729847
absolute error = 3.40585315348e-17
relative error = 2.5282947734336554043904078332063e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.797
y[1] (analytic) = 1349.7918484136021634780396998078
y[1] (numeric) = 1349.7918484136021634439127273006
absolute error = 3.41269725072e-17
relative error = 2.5283137209125328597179109228456e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.798
y[1] (analytic) = 1352.4941333095350084100865323576
y[1] (numeric) = 1352.4941333095350083758909818591
absolute error = 3.41955504985e-17
relative error = 2.5283326305323000894264790769776e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.799
y[1] (analytic) = 1355.2018281838044172336898039165
y[1] (numeric) = 1355.2018281838044171994255381335
absolute error = 3.42642657830e-17
relative error = 2.5283515023677180470460356388495e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.8
y[1] (analytic) = 1357.9149438671934972867985361214
y[1] (numeric) = 1357.9149438671934972524654174858
absolute error = 3.43331186356e-17
relative error = 2.5283703364971466297921428590602e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.801
y[1] (analytic) = 1360.6334912121685996137931252256
y[1] (numeric) = 1360.6334912121685995793910158938
absolute error = 3.44021093318e-17
relative error = 2.5283891330024267485652700176147e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=373.8MB, alloc=4.5MB, time=18.10
x[1] = 2.802
y[1] (analytic) = 1363.357481092922728845359476684
y[1] (numeric) = 1363.3574810929227288108882385365
absolute error = 3.44712381475e-17
relative error = 2.5284078919540937620347298952313e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.803
y[1] (analytic) = 1366.0869244054190399850064538366
y[1] (numeric) = 1366.0869244054190399504659484775
absolute error = 3.45405053591e-17
relative error = 2.5284266134187283310203459082125e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.804
y[1] (analytic) = 1368.8218320674344222762138447542
y[1] (numeric) = 1368.8218320674344222416039335105
absolute error = 3.46099112437e-17
relative error = 2.5284452974735252119414348807409e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.805
y[1] (analytic) = 1371.5622150186031703245463739508
y[1] (numeric) = 1371.5622150186031702898669178717
absolute error = 3.46794560791e-17
relative error = 2.5284639442061055572214487539843e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.806
y[1] (analytic) = 1374.3080842204607426494183056466
y[1] (numeric) = 1374.3080842204607426146691655033
absolute error = 3.47491401433e-17
relative error = 2.5284825536779487200048091547741e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.807
y[1] (analytic) = 1377.0594506564876078405429039854
y[1] (numeric) = 1377.0594506564876078057239402703
absolute error = 3.48189637151e-17
relative error = 2.5285011259681420031582915457708e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.808
y[1] (analytic) = 1379.8163253321531784944514344651
y[1] (numeric) = 1379.8163253321531784595625073912
absolute error = 3.48889270739e-17
relative error = 2.5285196611586286005569967253940e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.809
y[1] (analytic) = 1382.5787192749598331068175112356
y[1] (numeric) = 1382.5787192749598330718584807363
absolute error = 3.49590304993e-17
relative error = 2.5285381593051654440467574998356e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.81
y[1] (analytic) = 1385.3466435344870260966744182592
y[1] (numeric) = 1385.3466435344870260616451439872
absolute error = 3.50292742720e-17
relative error = 2.5285566205024681981999637377127e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.811
y[1] (analytic) = 1388.120109182435486138965560013
y[1] (numeric) = 1388.1201091824354861038659013403
absolute error = 3.50996586727e-17
relative error = 2.5285750448044969446244330560201e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.812
y[1] (analytic) = 1390.89912731267150298222143087
y[1] (numeric) = 1390.8991273126715029470512468868
absolute error = 3.51701839832e-17
relative error = 2.5285934323038660524592997474825e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.813
y[1] (analytic) = 1393.6837090412713029285104329122
y[1] (numeric) = 1393.6837090412713028932695824268
absolute error = 3.52408504854e-17
relative error = 2.5286117830596245400417070744749e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.814
y[1] (analytic) = 1396.4738655065655131531655211494
y[1] (numeric) = 1396.4738655065655131178538626874
absolute error = 3.53116584620e-17
relative error = 2.5286300971476349092031661751573e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.815
y[1] (analytic) = 1399.2696078691837150421440143338
y[1] (numeric) = 1399.2696078691837150067614061374
absolute error = 3.53826081964e-17
relative error = 2.5286483746531771926663967180547e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.816
y[1] (analytic) = 1402.070947312099086725233980215
y[1] (numeric) = 1402.0709473120990866897802802429
absolute error = 3.54536999721e-17
relative error = 2.5286666156279789589206283557668e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.817
y[1] (analytic) = 1404.8778950406731349836773875852
y[1] (numeric) = 1404.8778950406731349481524535114
absolute error = 3.55249340738e-17
relative error = 2.5286848201687666677808321361456e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.818
y[1] (analytic) = 1407.6904622827005167111377152474
y[1] (numeric) = 1407.6904622827005166755414044612
absolute error = 3.55963107862e-17
relative error = 2.5287029883314889993121868685254e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.819
y[1] (analytic) = 1410.5086602884539501072979215417
y[1] (numeric) = 1410.5086602884539500716300911469
absolute error = 3.56678303948e-17
relative error = 2.5287211201883584352909373452338e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.82
y[1] (analytic) = 1413.3325003307292157837336087014
y[1] (numeric) = 1413.3325003307292157479941155156
absolute error = 3.57394931858e-17
relative error = 2.5287392158205320136840424706516e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.821
y[1] (analytic) = 1416.1619937048902479620658655338
y[1] (numeric) = 1416.1619937048902479262545660878
absolute error = 3.58112994460e-17
relative error = 2.5287572753108786878523696286883e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.822
y[1] (analytic) = 1418.9971517289143159447586411573
y[1] (numeric) = 1418.9971517289143159088753916951
absolute error = 3.58832494622e-17
relative error = 2.5287752987015965354597974502596e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.823
y[1] (analytic) = 1421.8379857434372960392865932297
y[1] (numeric) = 1421.8379857434372960033312497072
absolute error = 3.59553435225e-17
relative error = 2.5287932860859676337525517196160e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.824
y[1] (analytic) = 1424.6845071117990341167611676972
y[1] (numeric) = 1424.6845071117990340807335857819
absolute error = 3.60275819153e-17
relative error = 2.5288112375375759920295725602418e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.825
y[1] (analytic) = 1427.5367272200887989864652050547
y[1] (numeric) = 1427.5367272200887989503652401254
absolute error = 3.60999649293e-17
relative error = 2.5288291531104215358306276303841e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.826
y[1] (analytic) = 1430.3946574771908267681096318606
y[1] (numeric) = 1430.3946574771908267319371390062
absolute error = 3.61724928544e-17
relative error = 2.5288470329019534317230296403634e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.827
y[1] (analytic) = 1433.2583093148299564439897872559
y[1] (numeric) = 1433.2583093148299564077446212755
absolute error = 3.62451659804e-17
relative error = 2.5288648769618523669297384320413e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.828
y[1] (analytic) = 1436.1276941876173567735836539639
y[1] (numeric) = 1436.1276941876173567372656693658
absolute error = 3.63179845981e-17
relative error = 2.5288826853690196402413937033875e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.829
y[1] (analytic) = 1439.0028235730963447534997131299
y[1] (numeric) = 1439.0028235730963447171087641311
absolute error = 3.63909489988e-17
relative error = 2.5289004581964578892019028236217e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.83
y[1] (analytic) = 1441.883708971788295806048323885
y[1] (numeric) = 1441.8837089717882957695842644106
absolute error = 3.64640594744e-17
relative error = 2.5289181955181831463931610536854e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=377.6MB, alloc=4.5MB, time=18.30
TOP MAIN SOLVE Loop
x[1] = 2.831
y[1] (analytic) = 1444.7703619072386458800774431323
y[1] (numeric) = 1444.7703619072386458435401268151
absolute error = 3.65373163172e-17
relative error = 2.5289358973952896732559555386862e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.832
y[1] (analytic) = 1447.662793926062985648081150236
y[1] (numeric) = 1447.6627939260629856114704304156
absolute error = 3.66107198204e-17
relative error = 2.5289535639105354226228664004802e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.833
y[1] (analytic) = 1450.5610165979932469839578265038
y[1] (numeric) = 1450.5610165979932469472735562264
absolute error = 3.66842702774e-17
relative error = 2.5289711951197868835470057070931e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.834
y[1] (analytic) = 1453.4650415159239819061639620807
y[1] (numeric) = 1453.4650415159239818694059940981
absolute error = 3.67579679826e-17
relative error = 2.5289887911072461994604613540339e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.835
y[1] (analytic) = 1456.374880295958734171379424571
y[1] (numeric) = 1456.3748802959587341345476113403
absolute error = 3.68318132307e-17
relative error = 2.5290063519370222050035227242768e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.836
y[1] (analytic) = 1459.290544577456503704170625882
y[1] (numeric) = 1459.2905445774565036672648195649
absolute error = 3.69058063171e-17
relative error = 2.5290238776806592627452552208025e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.837
y[1] (analytic) = 1462.2120460230783040485093678915
y[1] (numeric) = 1462.2120460230783040115294203538
absolute error = 3.69799475377e-17
relative error = 2.5290413684033033977267140989142e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.838
y[1] (analytic) = 1465.1393963188338130273772350936
y[1] (numeric) = 1465.1393963188338129903229979044
absolute error = 3.70542371892e-17
relative error = 2.5290588241841601068481739064068e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.839
y[1] (analytic) = 1468.0726071741281167970582348391
y[1] (numeric) = 1468.0726071741281167599295592705
absolute error = 3.71286755686e-17
relative error = 2.5290762450822139181891694936026e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.84
y[1] (analytic) = 1471.0116903218085474830959646686
y[1] (numeric) = 1471.0116903218085474458927016949
absolute error = 3.72032629737e-17
relative error = 2.5290936311703383214475505546724e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.841
y[1] (analytic) = 1473.9566575182116145852659130155
y[1] (numeric) = 1473.9566575182116145479879133124
absolute error = 3.72779997031e-17
relative error = 2.5291109825350755305657337584674e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.842
y[1] (analytic) = 1476.9075205432100303392885757433
y[1] (numeric) = 1476.9075205432100303019356896879
absolute error = 3.73528860554e-17
relative error = 2.5291282992222506523953022515111e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.843
y[1] (analytic) = 1479.8642912002598292233848980724
y[1] (numeric) = 1479.8642912002598291859569757421
absolute error = 3.74279223303e-17
relative error = 2.5291455813116269982390264011913e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.844
y[1] (analytic) = 1482.8269813164475817981521309409
y[1] (numeric) = 1482.8269813164475817606490221129
absolute error = 3.75031088280e-17
relative error = 2.5291628288760228182200907287845e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.845
y[1] (analytic) = 1485.7956027425377030686155242572
y[1] (numeric) = 1485.7956027425377030310370784081
absolute error = 3.75784458491e-17
relative error = 2.5291800419745679533820693816789e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.846
y[1] (analytic) = 1488.770167353019855557689368328
y[1] (numeric) = 1488.7701673530198555200354346328
absolute error = 3.76539336952e-17
relative error = 2.5291972206930602488852978681746e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.847
y[1] (analytic) = 1491.750687046156447280659740509
y[1] (numeric) = 1491.7506870461564472429301678412
absolute error = 3.77295726678e-17
relative error = 2.5292143650698787648670711435716e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.848
y[1] (analytic) = 1494.7371737440302248106809183432
y[1] (numeric) = 1494.7371737440302247728755552733
absolute error = 3.78053630699e-17
relative error = 2.5292314752034171407511729850991e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.849
y[1] (analytic) = 1497.729639392591961625657784625
y[1] (numeric) = 1497.7296393925919615877764794205
absolute error = 3.78813052045e-17
relative error = 2.5292485511512517713249829158329e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.85
y[1] (analytic) = 1500.7280959617082419272676755088
y[1] (numeric) = 1500.7280959617082418893102761333
absolute error = 3.79573993755e-17
relative error = 2.5292655929904373737989081334994e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.851
y[1] (analytic) = 1503.732555445209340123257011458
y[1] (numeric) = 1503.7325554452093400852233655711
absolute error = 3.80336458869e-17
relative error = 2.5292826007640299855904967754536e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.852
y[1] (analytic) = 1506.743029860937196164530704063
y[1] (numeric) = 1506.7430298609371961264206590189
absolute error = 3.81100450441e-17
relative error = 2.5292995745676231802971959507108e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.853
y[1] (analytic) = 1509.7595312507934869289357510496
y[1] (numeric) = 1509.7595312507934868907491538973
absolute error = 3.81865971523e-17
relative error = 2.5293165144427651848325751922876e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.854
y[1] (analytic) = 1512.7820716807877938440246187114
y[1] (numeric) = 1512.7820716807877938057613161933
absolute error = 3.82633025181e-17
relative error = 2.5293334204831812028880757401900e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.855
y[1] (analytic) = 1515.8106632410858669414689670388
y[1] (numeric) = 1515.8106632410858669031288055907
absolute error = 3.83401614481e-17
relative error = 2.5293502927418115093940872023421e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.856
y[1] (analytic) = 1518.845318046057985536179999556
y[1] (numeric) = 1518.8453180460579854977628253062
absolute error = 3.84171742498e-17
relative error = 2.5293671312903915112515348648548e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.857
y[1] (analytic) = 1521.8860482343274157235782188246
y[1] (numeric) = 1521.8860482343274156850838775933
absolute error = 3.84943412313e-17
relative error = 2.5293839361994703028236487757665e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.858
y[1] (analytic) = 1524.9328659688189648888426413052
y[1] (numeric) = 1524.9328659688189648502709786041
absolute error = 3.85716627011e-17
relative error = 2.5294007075252251349086801766418e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.859
y[1] (analytic) = 1527.9857834368076334223575733128
y[1] (numeric) = 1527.9857834368076333837084343441
absolute error = 3.86491389687e-17
relative error = 2.5294174453487903635553455982447e-18 %
Correct digits = 19
h = 0.001
memory used=381.4MB, alloc=4.5MB, time=18.50
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.86
y[1] (analytic) = 1531.0448128499673638359638747203
y[1] (numeric) = 1531.0448128499673637972371043765
absolute error = 3.87267703438e-17
relative error = 2.5294341497236747919320243813864e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.861
y[1] (analytic) = 1534.1099664444198874750112404169
y[1] (numeric) = 1534.1099664444198874362066832799
absolute error = 3.88045571370e-17
relative error = 2.5294508207215842771477952090721e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.862
y[1] (analytic) = 1537.1812564807836690215984128572
y[1] (numeric) = 1537.1812564807836689827159131976
absolute error = 3.88824996596e-17
relative error = 2.5294674584191477772420253277721e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.863
y[1] (analytic) = 1540.2586952442229489847794039216
y[1] (numeric) = 1540.2586952442229489458188056985
absolute error = 3.89605982231e-17
relative error = 2.5294840628653240245185107895782e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.864
y[1] (analytic) = 1543.3422950444968843739057523046
y[1] (numeric) = 1543.3422950444968843348668991645
absolute error = 3.90388531401e-17
relative error = 2.5295006341399106818095431752929e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.865
y[1] (analytic) = 1546.4320682160087877516675753178
y[1] (numeric) = 1546.4320682160087877125503105943
absolute error = 3.91172647235e-17
relative error = 2.5295171723014231117290459315754e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.866
y[1] (analytic) = 1549.5280271178554648637896929274
y[1] (numeric) = 1549.5280271178554648245938596403
absolute error = 3.91958332871e-17
relative error = 2.5295336774259460571592188976400e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.867
y[1] (analytic) = 1552.6301841338766510427334085908
y[1] (numeric) = 1552.6301841338766510034588494458
absolute error = 3.92745591450e-17
relative error = 2.5295501495682324679906903324144e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.868
y[1] (analytic) = 1555.7385516727045465831496276179
y[1] (numeric) = 1555.7385516727045465437961850056
absolute error = 3.93534426123e-17
relative error = 2.5295665888068290562176970593950e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.869
y[1] (analytic) = 1558.853142167813451287224880914
y[1] (numeric) = 1558.8531421678134512477923969096
absolute error = 3.94324840044e-17
relative error = 2.5295829951988523799365091033862e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.87
y[1] (analytic) = 1561.9739680775694983784585016694
y[1] (numeric) = 1561.973968077569498338946818032
absolute error = 3.95116836374e-17
relative error = 2.5295993688057291911687444589826e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.871
y[1] (analytic) = 1565.1010418852804879828066764161
y[1] (numeric) = 1565.1010418852804879432156345879
absolute error = 3.95910418282e-17
relative error = 2.5296157096994612312115171159328e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.872
y[1] (analytic) = 1568.2343760992458203765273614719
y[1] (numeric) = 1568.2343760992458203368568025777
absolute error = 3.96705588942e-17
relative error = 2.5296320179433081086398057658917e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.873
y[1] (analytic) = 1571.3739832528065292004591227294
y[1] (numeric) = 1571.3739832528065291607088875759
absolute error = 3.97502351535e-17
relative error = 2.5296482936045202390219141498366e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.874
y[1] (analytic) = 1574.5198759043954148408668226166
y[1] (numeric) = 1574.5198759043954148010367516919
absolute error = 3.98300709247e-17
relative error = 2.5296645367415149280890648740321e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.875
y[1] (analytic) = 1577.6720666375872781773877444569
y[1] (numeric) = 1577.6720666375872781374776779295
absolute error = 3.99100665274e-17
relative error = 2.5296807474355749527385065100942e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.876
y[1] (analytic) = 1580.8305680611492548990132129884
y[1] (numeric) = 1580.8305680611492548590229907072
absolute error = 3.99902222812e-17
relative error = 2.5296969257272806720368608271822e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.877
y[1] (analytic) = 1583.9953928090912505894430420866
y[1] (numeric) = 1583.9953928090912505493725035794
absolute error = 4.00705385072e-17
relative error = 2.5297130717115313976724344242581e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.878
y[1] (analytic) = 1587.166553540716476783553218349
y[1] (numeric) = 1587.1665535407164767434022028228
absolute error = 4.01510155262e-17
relative error = 2.5297291854235122277310681558247e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.879
y[1] (analytic) = 1590.3440629406720881971211137996
y[1] (numeric) = 1590.3440629406720881568894601392
absolute error = 4.02316536604e-17
relative error = 2.5297452669461026585925190973107e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.88
y[1] (analytic) = 1593.5279337189999213323572141254
y[1] (numeric) = 1593.5279337189999212920447608932
absolute error = 4.03124532322e-17
relative error = 2.5297613163340148443862909642353e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.881
y[1] (analytic) = 1596.7181786111873346621978522272
y[1] (numeric) = 1596.7181786111873346218044376623
absolute error = 4.03934145649e-17
relative error = 2.5297773336578323430052587934515e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.882
y[1] (analytic) = 1599.9148103782181505967197520398
y[1] (numeric) = 1599.9148103782181505562452140576
absolute error = 4.04745379822e-17
relative error = 2.5297933189725184489705902087251e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.883
y[1] (analytic) = 1603.1178418066236994354443162049
y[1] (numeric) = 1603.117841806623699394888492396
absolute error = 4.05558238089e-17
relative error = 2.5298092723611550686135465233776e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.884
y[1] (analytic) = 1606.3272857085339655097075348691
y[1] (numeric) = 1606.3272857085339654690702624993
absolute error = 4.06372723698e-17
relative error = 2.5298251938661011559320470022902e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.885
y[1] (analytic) = 1609.5431549217288357196801532857
y[1] (numeric) = 1609.5431549217288356789612692948
absolute error = 4.07188839909e-17
relative error = 2.5298410835638722635273051844141e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.886
y[1] (analytic) = 1612.7654623096894506710323146286
y[1] (numeric) = 1612.76546230968945063023165563
absolute error = 4.08006589986e-17
relative error = 2.5298569415151141136639038369412e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.887
y[1] (analytic) = 1615.9942207616496586166472931473
y[1] (numeric) = 1615.9942207616496585757646954274
absolute error = 4.08825977199e-17
relative error = 2.5298727677770550875355565183114e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=385.3MB, alloc=4.5MB, time=18.71
x[1] = 2.888
y[1] (analytic) = 1619.2294431926475724092001531227
y[1] (numeric) = 1619.22944319264757236823545264
absolute error = 4.09647004827e-17
relative error = 2.5298885624219859927433416685677e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.889
y[1] (analytic) = 1622.47114254357722967082921268
y[1] (numeric) = 1622.4711425435772296297822450647
absolute error = 4.10469676153e-17
relative error = 2.5299043255062108312118664279115e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.89
y[1] (analytic) = 1625.7193317812403563865410600266
y[1] (numeric) = 1625.7193317812403563454116605797
absolute error = 4.11293994469e-17
relative error = 2.5299200571008799506986056984695e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.891
y[1] (analytic) = 1628.974023898398234128403564751
y[1] (numeric) = 1628.974023898398234087191568444
absolute error = 4.12119963070e-17
relative error = 2.5299357572549271912016659296987e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.892
y[1] (analytic) = 1632.2352319138236711179958501136
y[1] (numeric) = 1632.2352319138236710767010915874
absolute error = 4.12947585262e-17
relative error = 2.5299514260442222375373173508541e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.893
y[1] (analytic) = 1635.5029688723530773349995454215
y[1] (numeric) = 1635.502968872353077293621858986
absolute error = 4.13776864355e-17
relative error = 2.5299670635284199903541786346993e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.894
y[1] (analytic) = 1638.7772478449386438802318222874
y[1] (numeric) = 1638.7772478449386438387710419208
absolute error = 4.14607803666e-17
relative error = 2.5299826697693465559597191199251e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.895
y[1] (analytic) = 1642.058081928700626801837736477
y[1] (numeric) = 1642.0580819287006267602936958251
absolute error = 4.15440406519e-17
relative error = 2.5299982448308958714706984071036e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.896
y[1] (analytic) = 1645.3454842469797355937772498254
y[1] (numeric) = 1645.3454842469797355521497822011
absolute error = 4.16274676243e-17
relative error = 2.5300137887667717714426060937664e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.897
y[1] (analytic) = 1648.639467949389626576160996023
y[1] (numeric) = 1648.6394679493896265344499344053
absolute error = 4.17110616177e-17
relative error = 2.5300293016508359653863408680777e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.898
y[1] (analytic) = 1651.940046211869501367408381604
y[1] (numeric) = 1651.9400462118695013256135586376
absolute error = 4.17948229664e-17
relative error = 2.5300447835405042740116857042828e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.899
y[1] (analytic) = 1655.2472322367368106586219809016
y[1] (numeric) = 1655.2472322367368106167432288962
absolute error = 4.18787520054e-17
relative error = 2.5300602344949528417706845739014e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.9
y[1] (analytic) = 1658.5610392527400635009933927402
y[1] (numeric) = 1658.5610392527400634590305436698
absolute error = 4.19628490704e-17
relative error = 2.5300756545750189411029522492748e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.901
y[1] (analytic) = 1661.8814805151117423174777788987
y[1] (numeric) = 1661.8814805151117422754306644007
absolute error = 4.20471144980e-17
relative error = 2.5300910438551372473191855846842e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.902
y[1] (analytic) = 1665.2085693056213238503972015973
y[1] (numeric) = 1665.2085693056213238082656529723
absolute error = 4.21315486250e-17
relative error = 2.5301064023810854721958417351161e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.903
y[1] (analytic) = 1668.5423189326284062570566211164
y[1] (numeric) = 1668.5423189326284062148404693271
absolute error = 4.22161517893e-17
relative error = 2.5301217302241276466712456897721e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.904
y[1] (analytic) = 1671.8827427311359425658810068461
y[1] (numeric) = 1671.8827427311359425235800825169
absolute error = 4.23009243292e-17
relative error = 2.5301370274388093896735072351007e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.905
y[1] (analytic) = 1675.2298540628435807060074572946
y[1] (numeric) = 1675.2298540628435806636215907108
absolute error = 4.23858665838e-17
relative error = 2.5301522940869200687657150145251e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.906
y[1] (analytic) = 1678.5836663162011103236925185424
y[1] (numeric) = 1678.5836663162011102812215396493
absolute error = 4.24709788931e-17
relative error = 2.5301675302432963252914882299857e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.907
y[1] (analytic) = 1681.9441929064620165993220380344
y[1] (numeric) = 1681.9441929064620165567657764371
absolute error = 4.25562615973e-17
relative error = 2.5301827359539914239927141272530e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.908
y[1] (analytic) = 1685.3114472757371412792388931558
y[1] (numeric) = 1685.3114472757371412365971781183
absolute error = 4.26417150375e-17
relative error = 2.5301979112780158201070467169268e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.909
y[1] (analytic) = 1688.6854428930484511370327934488
y[1] (numeric) = 1688.6854428930484510943054538931
absolute error = 4.27273395557e-17
relative error = 2.5302130562871265334423861723234e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.91
y[1] (analytic) = 1692.0661932543829140793660733212
y[1] (numeric) = 1692.066193254382914036552937827
absolute error = 4.28131354942e-17
relative error = 2.5302281710301585019420358006365e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.911
y[1] (analytic) = 1695.4537118827464831118399703864
y[1] (numeric) = 1695.45371188274648306894086719
absolute error = 4.28991031964e-17
relative error = 2.5302432555803563691152804115112e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.912
y[1] (analytic) = 1698.8480123282181883808373248753
y[1] (numeric) = 1698.8480123282181883378520818694
absolute error = 4.29852430059e-17
relative error = 2.5302583099820722522422595193683e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.913
y[1] (analytic) = 1702.249108168004337507709939618
y[1] (numeric) = 1702.2491081680043374646383843505
absolute error = 4.30715552675e-17
relative error = 2.5302733343097179080771012325988e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.914
y[1] (analytic) = 1705.6570130064928244321120096074
y[1] (numeric) = 1705.6570130064928243889539692809
absolute error = 4.31580403265e-17
relative error = 2.5302883286263434031444439152029e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.915
y[1] (analytic) = 1709.0717404753075469817150668931
y[1] (numeric) = 1709.0717404753075469384703683646
absolute error = 4.32446985285e-17
relative error = 2.5303032929719660268314651990393e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.916
y[1] (analytic) = 1712.4933042333629333859747922221
y[1] (numeric) = 1712.4933042333629333426432620017
absolute error = 4.33315302204e-17
relative error = 2.5303182274221128960681621756761e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=389.1MB, alloc=4.5MB, time=18.91
x[1] = 2.917
y[1] (analytic) = 1715.9217179669185779520558211934
y[1] (numeric) = 1715.9217179669185779086372854438
absolute error = 4.34185357496e-17
relative error = 2.5303331320407630730057214349815e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.918
y[1] (analytic) = 1719.3569953896339861214573214754
y[1] (numeric) = 1719.3569953896339860779516060116
absolute error = 4.35057154638e-17
relative error = 2.5303480068687482902928166663303e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.919
y[1] (analytic) = 1722.7991502426234291263196405818
y[1] (numeric) = 1722.7991502426234290827265708697
absolute error = 4.35930697121e-17
relative error = 2.5303628519877518443846908419415e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.92
y[1] (analytic) = 1726.2481962945109084648307225699
y[1] (numeric) = 1726.2481962945109084211501237263
absolute error = 4.36805988436e-17
relative error = 2.5303776674387187451713945938703e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.921
y[1] (analytic) = 1729.7041473414852304155902685762
y[1] (numeric) = 1729.7041473414852303718219653677
absolute error = 4.37683032085e-17
relative error = 2.5303924532857747435624529821412e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.922
y[1] (analytic) = 1733.1670172073551908112297720762
y[1] (numeric) = 1733.1670172073551907673735889183
absolute error = 4.38561831579e-17
relative error = 2.5304072096043741699143894481688e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.923
y[1] (analytic) = 1736.6368197436048702920275969282
y[1] (numeric) = 1736.6368197436048702480833578853
absolute error = 4.39442390429e-17
relative error = 2.5304219364292805104792630591472e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.924
y[1] (analytic) = 1740.1135688294490402607001863913
y[1] (numeric) = 1740.1135688294490402166677151754
absolute error = 4.40324712159e-17
relative error = 2.5304366338295982774783598969497e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.925
y[1] (analytic) = 1743.597278371888679759993296153
y[1] (numeric) = 1743.5972783718886797158724161231
absolute error = 4.41208800299e-17
relative error = 2.5304513018682022777000905579412e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.926
y[1] (analytic) = 1747.0879623057666034951408357568
y[1] (numeric) = 1747.0879623057666034509313699183
absolute error = 4.42094658385e-17
relative error = 2.5304659406017176965026080256924e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.927
y[1] (analytic) = 1750.5856345938232012237034824348
y[1] (numeric) = 1750.5856345938232011794052534389
absolute error = 4.42982289959e-17
relative error = 2.5304805500805006258362103064059e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.928
y[1] (analytic) = 1754.0903092267522887357447010192
y[1] (numeric) = 1754.0903092267522886913575311619
absolute error = 4.43871698573e-17
relative error = 2.5304951303714228761260565118926e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.929
y[1] (analytic) = 1757.6020002232570706477481651042
y[1] (numeric) = 1757.6020002232570706032718763256
absolute error = 4.44762887786e-17
relative error = 2.5305096815405568617090155711533e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.93
y[1] (analytic) = 1761.1207216301062152341278297455
y[1] (numeric) = 1761.1207216301062151895622436295
absolute error = 4.45655861160e-17
relative error = 2.5305242036303887037691042958178e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.931
y[1] (analytic) = 1764.646487522190041520630056505
y[1] (numeric) = 1764.6464875221900414759749942782
absolute error = 4.46550622268e-17
relative error = 2.5305386967053066719407436983201e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.932
y[1] (analytic) = 1768.1793120025768188643762393634
y[1] (numeric) = 1768.1793120025768188196315218945
absolute error = 4.47447174689e-17
relative error = 2.5305531608230236000396572411156e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.933
y[1] (analytic) = 1771.7192092025691792457443267387
y[1] (numeric) = 1771.7192092025691792009097745378
absolute error = 4.48345522009e-17
relative error = 2.5305675960402058264551215488844e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.934
y[1] (analytic) = 1775.2661932817606424977384823533
y[1] (numeric) = 1775.2661932817606424528139155711
absolute error = 4.49245667822e-17
relative error = 2.5305820024180348874054635323031e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.935
y[1] (analytic) = 1778.8202784280922546989478777938
y[1] (numeric) = 1778.8202784280922546539331162211
absolute error = 4.50147615727e-17
relative error = 2.5305963800052156196245991661006e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.936
y[1] (analytic) = 1782.3814788579093399566482641186
y[1] (numeric) = 1782.3814788579093399115431271853
absolute error = 4.51051369333e-17
relative error = 2.5306107288660712956035869411858e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.937
y[1] (analytic) = 1785.9498088160183658070535305868
y[1] (numeric) = 1785.9498088160183657618578373612
absolute error = 4.51956932256e-17
relative error = 2.5306250490635084426699639808750e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.938
y[1] (analytic) = 1789.5252825757439224601789273363
y[1] (numeric) = 1789.5252825757439224148924965245
absolute error = 4.52864308118e-17
relative error = 2.5306393406533609284209000850162e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.939
y[1] (analytic) = 1793.1079144389858161172330074356
y[1] (numeric) = 1793.107914438985816071855657381
absolute error = 4.53773500546e-17
relative error = 2.5306536036788017670190509636365e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.94
y[1] (analytic) = 1796.6977187362762765889116340028
y[1] (numeric) = 1796.6977187362762765434431826849
absolute error = 4.54684513179e-17
relative error = 2.5306678382093483055227606124808e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.941
y[1] (analytic) = 1800.2947098268372794434246018426
y[1] (numeric) = 1800.2947098268372793978648668765
absolute error = 4.55597349661e-17
relative error = 2.5306820443016353626095735437975e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.942
y[1] (analytic) = 1803.898902098637982913543542139
y[1] (numeric) = 1803.8989020986379828678923407747
absolute error = 4.56512013643e-17
relative error = 2.5306962220105488091781954485700e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.943
y[1] (analytic) = 1807.5103099684522797924188149776
y[1] (numeric) = 1807.5103099684522797466759640993
absolute error = 4.57428508783e-17
relative error = 2.5307103713891613391256446724240e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.944
y[1] (analytic) = 1811.1289478819164645483730497004
y[1] (numeric) = 1811.1289478819164645025383658256
absolute error = 4.58346838748e-17
relative error = 2.5307244924997117849216721473555e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.945
y[1] (analytic) = 1814.7548303135870158893398691566
y[1] (numeric) = 1814.7548303135870158434131684356
absolute error = 4.59267007210e-17
relative error = 2.5307385853913904386804164302641e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=392.9MB, alloc=4.5MB, time=19.11
TOP MAIN SOLVE Loop
x[1] = 2.946
y[1] (analytic) = 1818.3879717669984950080781326494
y[1] (numeric) = 1818.3879717669984949620592308642
absolute error = 4.60189017852e-17
relative error = 2.5307526501333837332726115859858e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.947
y[1] (analytic) = 1822.0283867747215597397547556306
y[1] (numeric) = 1822.0283867747215596936434681946
absolute error = 4.61112874360e-17
relative error = 2.5307666867706859563095757436231e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.948
y[1] (analytic) = 1825.6760898984210948639528138294
y[1] (numeric) = 1825.6760898984210948177489557865
absolute error = 4.62038580429e-17
relative error = 2.5307806953571232518983259271890e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.949
y[1] (analytic) = 1829.3310957289144587836262173534
y[1] (numeric) = 1829.331095728914458737329603377
absolute error = 4.62966139764e-17
relative error = 2.5307946759606506161093050615915e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.95
y[1] (analytic) = 1832.993418886229846813987748242
y[1] (numeric) = 1832.9934188862298467675981926346
absolute error = 4.63895556074e-17
relative error = 2.5308086286303958003265268255902e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.951
y[1] (analytic) = 1836.6630740196647713147836948444
y[1] (numeric) = 1836.6630740196647712683010115367
absolute error = 4.64826833077e-17
relative error = 2.5308225534239885051713193672978e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.952
y[1] (analytic) = 1840.3400758078446588998756900917
y[1] (numeric) = 1840.340075807844658853299692642
absolute error = 4.65759974497e-17
relative error = 2.5308364503910926848682766235156e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.953
y[1] (analytic) = 1844.0244389587815649585186701222
y[1] (numeric) = 1844.0244389587815649118491717154
absolute error = 4.66694984068e-17
relative error = 2.5308503195950960438968144985537e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.954
y[1] (analytic) = 1847.7161782099330057231931166562
y[1] (numeric) = 1847.7161782099330056764299301033
absolute error = 4.67631865529e-17
relative error = 2.5308641610858310510425935579177e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.955
y[1] (analytic) = 1851.415308328260908119319932893
y[1] (numeric) = 1851.4153083282609080724628706301
absolute error = 4.68570622629e-17
relative error = 2.5308779749266347200427260717485e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.956
y[1] (analytic) = 1855.1218441102906776326574303886
y[1] (numeric) = 1855.1218441102906775857063044765
absolute error = 4.69511259121e-17
relative error = 2.5308917611617893453291451126722e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.957
y[1] (analytic) = 1858.8358003821703844306519752609
y[1] (numeric) = 1858.835800382170384383606597384
absolute error = 4.70453778769e-17
relative error = 2.5309055198542888320311171926492e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.958
y[1] (analytic) = 1862.557191999730067974486858037
y[1] (numeric) = 1862.5571919997300679273470395027
absolute error = 4.71398185343e-17
relative error = 2.5309192510587257049768211821418e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.959
y[1] (analytic) = 1866.2860338485411603590479144136
y[1] (numeric) = 1866.2860338485411603118134661517
absolute error = 4.72344482619e-17
relative error = 2.5309329548212930411642780649805e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.96
y[1] (analytic) = 1870.0223408439760286184993360234
y[1] (numeric) = 1870.0223408439760285711700685848
absolute error = 4.73292674386e-17
relative error = 2.5309466312172194229187238133862e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.961
y[1] (analytic) = 1873.7661279312676362356389728982
y[1] (numeric) = 1873.766127931267636188214696455
absolute error = 4.74242764432e-17
relative error = 2.5309602802756817059172804592767e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.962
y[1] (analytic) = 1877.5174100855693240936792446034
y[1] (numeric) = 1877.5174100855693240461597689473
absolute error = 4.75194756561e-17
relative error = 2.5309739020707276817747676219021e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.963
y[1] (analytic) = 1881.2762023120147111095775468699
y[1] (numeric) = 1881.276202312014711061962681412
absolute error = 4.76148654579e-17
relative error = 2.5309874966463295895197544219370e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.964
y[1] (analytic) = 1885.0425196457777147885187669172
y[1] (numeric) = 1885.042519645777714740808320687
absolute error = 4.77104462302e-17
relative error = 2.5310010640590414802864416416548e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.965
y[1] (analytic) = 1888.8163771521326919396322054223
y[1] (numeric) = 1888.8163771521326918918259870669
absolute error = 4.78062183554e-17
relative error = 2.5310146043672036283382427095603e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.966
y[1] (analytic) = 1892.5977899265146997935058481908
y[1] (numeric) = 1892.5977899265146997456036659743
absolute error = 4.79021822165e-17
relative error = 2.5310281176202754421764403155645e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.967
y[1] (analytic) = 1896.3867730945798777625425379357
y[1] (numeric) = 1896.3867730945798777145441997383
absolute error = 4.79983381974e-17
relative error = 2.5310416038746619092209966943119e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.968
y[1] (analytic) = 1900.1833418122659500856851680968
y[1] (numeric) = 1900.1833418122659500375904814141
absolute error = 4.80946866827e-17
relative error = 2.5310550631830374279575615967593e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.969
y[1] (analytic) = 1903.9875112658528495995215582724
y[1] (numeric) = 1903.9875112658528495513303302146
absolute error = 4.81912280578e-17
relative error = 2.5310684955995534510169823395146e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.97
y[1] (analytic) = 1907.7992966720234628782641765141
y[1] (numeric) = 1907.7992966720234628299762138053
absolute error = 4.82879627088e-17
relative error = 2.5310819011745004732113140292547e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.971
y[1] (analytic) = 1911.6187132779244969855853493974
y[1] (numeric) = 1911.6187132779244969372004583747
absolute error = 4.83848910227e-17
relative error = 2.5310952799647272638375840441767e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.972
y[1] (analytic) = 1915.4457763612274680817750483642
y[1] (numeric) = 1915.445776361227468033293034977
absolute error = 4.84820133872e-17
relative error = 2.5311086320230523912332288002523e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.973
y[1] (analytic) = 1919.2805012301898121301757622872
y[1] (numeric) = 1919.2805012301898120815964320962
absolute error = 4.85793301910e-17
relative error = 2.5311219574138535533135926514157e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.974
y[1] (analytic) = 1923.1229032237161179473373634754
y[1] (numeric) = 1923.1229032237161178986605216524
absolute error = 4.86768418230e-17
relative error = 2.5311352561712714657892688310102e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=396.7MB, alloc=4.5MB, time=19.31
TOP MAIN SOLVE Loop
x[1] = 2.975
y[1] (analytic) = 1926.9729977114194828418242493863
y[1] (numeric) = 1926.9729977114194827930497007128
absolute error = 4.87745486735e-17
relative error = 2.5311485283617036710126105912201e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.976
y[1] (analytic) = 1930.8308000936829910870973970784
y[1] (numeric) = 1930.8308000936829910382249459452
absolute error = 4.88724511332e-17
relative error = 2.5311617740316102239944561810219e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.977
y[1] (analytic) = 1934.6963258017213154743853039056
y[1] (numeric) = 1934.6963258017213154254147543118
absolute error = 4.89705495938e-17
relative error = 2.5311749932386433073546291872994e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.978
y[1] (analytic) = 1938.5695902976424421919501080713
y[1] (numeric) = 1938.5695902976424421428812636237
absolute error = 4.90688444476e-17
relative error = 2.5311881860308202640599425288027e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.979
y[1] (analytic) = 1942.4506090745095192776484884079
y[1] (numeric) = 1942.45060907450951922848115232
absolute error = 4.91673360879e-17
relative error = 2.5312013524671305575691682410633e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.98
y[1] (analytic) = 1946.3393976564028288921812360878
y[1] (numeric) = 1946.3393976564028288429152111793
absolute error = 4.92660249085e-17
relative error = 2.5312144925916554555207157608549e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.981
y[1] (analytic) = 1950.2359715984818836609206738968
y[1] (numeric) = 1950.2359715984818836115557625923
absolute error = 4.93649113045e-17
relative error = 2.5312276064746557451854754977172e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.982
y[1] (analytic) = 1954.1403464870476473327013731712
y[1] (numeric) = 1954.1403464870476472832373775002
absolute error = 4.94639956710e-17
relative error = 2.5312406941457034811580217941896e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.983
y[1] (analytic) = 1958.0525379396048800044568865264
y[1] (numeric) = 1958.0525379396048799548936081218
absolute error = 4.95632784046e-17
relative error = 2.5312537556706128455848899354324e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.984
y[1] (analytic) = 1961.972561604924608161083478047
y[1] (numeric) = 1961.9725616049246081114207181447
absolute error = 4.96627599023e-17
relative error = 2.5312667910949313364254208405066e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.985
y[1] (analytic) = 1965.9004331631067197804110936894
y[1] (numeric) = 1965.9004331631067197306486531273
absolute error = 4.97624405621e-17
relative error = 2.5312798004745804208784045306361e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.986
y[1] (analytic) = 1969.8361683256426847536620752399
y[1] (numeric) = 1969.8361683256426847037997544571
absolute error = 4.98623207828e-17
relative error = 2.5312927838655173997010606449504e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.987
y[1] (analytic) = 1973.77978283547840087227938329
y[1] (numeric) = 1973.7797828354784008223169823262
absolute error = 4.99624009638e-17
relative error = 2.5313057413135204194368225880683e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.988
y[1] (analytic) = 1977.731292467077165632508360338
y[1] (numeric) = 1977.7312924670771655824456788324
absolute error = 5.00626815056e-17
relative error = 2.5313186728794898639641917868878e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.989
y[1] (analytic) = 1981.6907130264827741096193363038
y[1] (numeric) = 1981.6907130264827740594561734949
absolute error = 5.01631628089e-17
relative error = 2.5313315785938001303069911827041e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.99
y[1] (analytic) = 1985.6580603513827431541626574816
y[1] (numeric) = 1985.6580603513827431038988122055
absolute error = 5.02638452761e-17
relative error = 2.5313444585320642972601811940610e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.991
y[1] (analytic) = 1989.6333503111716621631530082448
y[1] (numeric) = 1989.633350311171662112788278935
absolute error = 5.03647293098e-17
relative error = 2.5313573127392106377117610602875e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.992
y[1] (analytic) = 1993.6165988070146706795861947122
y[1] (numeric) = 1993.6165988070146706291203793988
absolute error = 5.04658153134e-17
relative error = 2.5313701412598026328646581584423e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.993
y[1] (analytic) = 1997.6078217719110630741988730779
y[1] (numeric) = 1997.6078217719110630236317693866
absolute error = 5.05671036913e-17
relative error = 2.5313829441479732274911045189022e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.994
y[1] (analytic) = 2001.607035170758020563890034449
y[1] (numeric) = 2001.6070351707580205132214396004
absolute error = 5.06685948486e-17
relative error = 2.5313957214522599224082522024861e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.995
y[1] (analytic) = 2005.6142550004144708217324048554
y[1] (numeric) = 2005.6142550004144707709621156639
absolute error = 5.07702891915e-17
relative error = 2.5314084732355229520693438132842e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.996
y[1] (analytic) = 2009.6294972897650754340122856206
y[1] (numeric) = 2009.6294972897650753831400984941
absolute error = 5.08721871265e-17
relative error = 2.5314211995349123526332815647073e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.997
y[1] (analytic) = 2013.6527780997843454602477475729
y[1] (numeric) = 2013.6527780997843454092734585115
absolute error = 5.09742890614e-17
relative error = 2.5314339004117037128888445155171e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.998
y[1] (analytic) = 2017.6841135236008853526475046536
y[1] (numeric) = 2017.6841135236008853015709092491
absolute error = 5.10765954045e-17
relative error = 2.5314465759113266763526830389325e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.999
y[1] (analytic) = 2021.7235196865617654919862304192
y[1] (numeric) = 2021.7235196865617654408071238542
absolute error = 5.11791065650e-17
relative error = 2.5314592260832263110598571539315e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3
y[1] (analytic) = 2025.7710127462970235973865467674
y[1] (numeric) = 2025.7710127462970235461047238144
absolute error = 5.12818229530e-17
relative error = 2.5314718509807415944465621025660e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.001
y[1] (analytic) = 2029.8266088927842952680134100166
y[1] (numeric) = 2029.8266088927842952166286650373
absolute error = 5.13847449793e-17
relative error = 2.5314844506511318915292764470678e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.002
y[1] (analytic) = 2033.8903243484135739152031472919
y[1] (numeric) = 2033.8903243484135738637152742362
absolute error = 5.14878730557e-17
relative error = 2.5314970251503060270774349631474e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.003
y[1] (analytic) = 2037.9621753680521003440669580786
y[1] (numeric) = 2037.9621753680521002924757504839
absolute error = 5.15912075947e-17
relative error = 2.5315095745279338092003001253976e-18 %
Correct digits = 19
h = 0.001
memory used=400.5MB, alloc=4.5MB, time=19.51
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.004
y[1] (analytic) = 2042.0421782391093822441272938779
y[1] (numeric) = 2042.0421782391093821924325448684
absolute error = 5.16947490095e-17
relative error = 2.5315220988274265287051369997178e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.005
y[1] (analytic) = 2046.1303492816023438490651652026
y[1] (numeric) = 2046.1303492816023437972666674882
absolute error = 5.17984977144e-17
relative error = 2.5315345981054669961490802808178e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.006
y[1] (analytic) = 2050.2267048482206060261771017679
y[1] (numeric) = 2050.2267048482206059742746476436
absolute error = 5.19024541243e-17
relative error = 2.5315470724074080775697446364984e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.007
y[1] (analytic) = 2054.3312613243918970566622107462
y[1] (numeric) = 2054.3312613243918970046555920911
absolute error = 5.20066186551e-17
relative error = 2.5315595217867750707492794396742e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.008
y[1] (analytic) = 2058.4440351283475943683825414472
y[1] (numeric) = 2058.4440351283475943162715497237
absolute error = 5.21109917235e-17
relative error = 2.5315719462953865688762837864339e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.009
y[1] (analytic) = 2062.5650427111883974832637748548
y[1] (numeric) = 2062.565042711188397431048201108
absolute error = 5.22155737468e-17
relative error = 2.5315843459735931013094926247426e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.01
y[1] (analytic) = 2066.6943005569501324420281151876
y[1] (numeric) = 2066.694300556950132389707750044
absolute error = 5.23203651436e-17
relative error = 2.5315967208841805345927317686023e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.011
y[1] (analytic) = 2070.831825182669687969477170152
y[1] (numeric) = 2070.8318251826696879170518038192
absolute error = 5.24253663328e-17
relative error = 2.5316090710637749450890741818670e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.012
y[1] (analytic) = 2074.977633138451083644069568938
y[1] (numeric) = 2074.9776331384510835915389912033
absolute error = 5.25305777347e-17
relative error = 2.5316213965760344532193495873213e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.013
y[1] (analytic) = 2079.1317410075316703360660843538
y[1] (numeric) = 2079.131741007531670283430084584
absolute error = 5.26359997698e-17
relative error = 2.5316336974535816918102177916093e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.014
y[1] (analytic) = 2083.2941654063484631790440999531
y[1] (numeric) = 2083.294165406348463126302467093
absolute error = 5.27416328601e-17
relative error = 2.5316459737606328625458192226182e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.015
y[1] (analytic) = 2087.4649229846046073401133966509
y[1] (numeric) = 2087.464922984604607287265919223
absolute error = 5.28474774279e-17
relative error = 2.5316582255351151941070220586732e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.016
y[1] (analytic) = 2091.6440304253359768546964283168
y[1] (numeric) = 2091.6440304253359768017428944201
absolute error = 5.29535338967e-17
relative error = 2.5316704528318757350267590592942e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.017
y[1] (analytic) = 2095.8315044449779067922685142626
y[1] (numeric) = 2095.8315044449779067392087115719
absolute error = 5.30598026907e-17
relative error = 2.5316826556985743025671003480839e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.018
y[1] (analytic) = 2100.0273617934320590199867005622
y[1] (numeric) = 2100.0273617934320589668204163272
absolute error = 5.31662842350e-17
relative error = 2.5316948341851971493918908096890e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.019
y[1] (analytic) = 2104.231619254133421831670433873
y[1] (numeric) = 2104.2316192541334217783974549176
absolute error = 5.32729789554e-17
relative error = 2.5317069883344475302171637539553e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.02
y[1] (analytic) = 2108.4442936441174437101326530159
y[1] (numeric) = 2108.444293644117443656752765737
absolute error = 5.33798872789e-17
relative error = 2.5317191182054509957069251067385e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.021
y[1] (analytic) = 2112.6654018140873014913964371472
y[1] (numeric) = 2112.6654018140873014379094275142
absolute error = 5.34870096330e-17
relative error = 2.5317312238403764912521882797678e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.022
y[1] (analytic) = 2116.8949606484813031998699570829
y[1] (numeric) = 2116.8949606484813031462756106367
absolute error = 5.35943464462e-17
relative error = 2.5317433052881432539379273908153e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.023
y[1] (analytic) = 2121.1329870655404258240911603436
y[1] (numeric) = 2121.1329870655404257703892621958
absolute error = 5.37018981478e-17
relative error = 2.5317553625948431282649736398156e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.024
y[1] (analytic) = 2125.3794980173759883031933829501
y[1] (numeric) = 2125.379498017375988249383717782
absolute error = 5.38096651681e-17
relative error = 2.5317673958130972990800653942833e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.025
y[1] (analytic) = 2129.6345104900374599947839240621
y[1] (numeric) = 2129.634510490037459940866276124
absolute error = 5.39176479381e-17
relative error = 2.5317794049878226527765377026771e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.026
y[1] (analytic) = 2133.8980415035804048954695453866
y[1] (numeric) = 2133.8980415035804048414436984968
absolute error = 5.40258468898e-17
relative error = 2.5317913901702857726308694692942e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.027
y[1] (analytic) = 2138.170108112134561885805868049
y[1] (numeric) = 2138.1701081121345618316716055932
absolute error = 5.41342624558e-17
relative error = 2.5318033513992504755425334225935e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.028
y[1] (analytic) = 2142.4507274039720612719917374999
y[1] (numeric) = 2142.4507274039720612177488424299
absolute error = 5.42428950700e-17
relative error = 2.5318152887336938783424851032345e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.029
y[1] (analytic) = 2146.739916501575777897174814188
y[1] (numeric) = 2146.7399165015757778428230690212
absolute error = 5.43517451668e-17
relative error = 2.5318272022152574543863163167445e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.03
y[1] (analytic) = 2151.037692561707821095780926362
y[1] (numeric) = 2151.0376925617078210413201131803
absolute error = 5.44608131817e-17
relative error = 2.5318390918962317189957669181515e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.031
y[1] (analytic) = 2155.3440727754781617648270936358
y[1] (numeric) = 2155.3440727754781617102569940849
absolute error = 5.45700995509e-17
relative error = 2.5318509578208100007554624362057e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=404.3MB, alloc=4.5MB, time=19.71
x[1] = 3.032
y[1] (analytic) = 2159.6590743684133968267265980743
y[1] (numeric) = 2159.6590743684133967720469933627
absolute error = 5.46796047116e-17
relative error = 2.5318628000389786640640913578443e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.033
y[1] (analytic) = 2163.9827146005256513586440457047
y[1] (numeric) = 2163.9827146005256513038547166029
absolute error = 5.47893291018e-17
relative error = 2.5318746185971355894613383159274e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.034
y[1] (analytic) = 2168.3150107663816186640090277434
y[1] (numeric) = 2168.3150107663816186091097545831
absolute error = 5.48992731603e-17
relative error = 2.5318864135380443601316494243687e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.035
y[1] (analytic) = 2172.6559801951717385623487596468
y[1] (numeric) = 2172.6559801951717385073393223199
absolute error = 5.50094373269e-17
relative error = 2.5318981849099943698349617326131e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.036
y[1] (analytic) = 2177.0056402507795141741529495541
y[1] (numeric) = 2177.0056402507795141190331275116
absolute error = 5.51198220425e-17
relative error = 2.5319099327712577065840361058397e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.037
y[1] (analytic) = 2181.3640083318509674780381280034
y[1] (numeric) = 2181.364008331850967422807700255
absolute error = 5.52304277484e-17
relative error = 2.5319216571578178108885257625502e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.038
y[1] (analytic) = 2185.7311018718642339180337601873
y[1] (numeric) = 2185.7311018718642338626925053003
absolute error = 5.53412548870e-17
relative error = 2.5319333581155360347297741765546e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.039
y[1] (analytic) = 2190.106938339199296339368662684
y[1] (numeric) = 2190.1069383391992962839163587823
absolute error = 5.54523039017e-17
relative error = 2.5319450356954058585435889165675e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.04
y[1] (analytic) = 2194.4915352372078585316935607884
y[1] (numeric) = 2194.4915352372078584761299855516
absolute error = 5.55635752368e-17
relative error = 2.5319566899488632457551197397071e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.041
y[1] (analytic) = 2198.8849101042833586592340524982
y[1] (numeric) = 2198.884910104283358603558983161
absolute error = 5.56750693372e-17
relative error = 2.5319683209140572252489107063605e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.042
y[1] (analytic) = 2203.2870805139311228579277931188
y[1] (numeric) = 2203.28708051393112280214100647
absolute error = 5.57867866488e-17
relative error = 2.5319799286340555821819478625748e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.043
y[1] (analytic) = 2207.698064074838659280160382573
y[1] (numeric) = 2207.6980640748386592242616549542
absolute error = 5.58987276188e-17
relative error = 2.5319915131703033236186186869962e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.044
y[1] (analytic) = 2212.1178784309460928682762280842
y[1] (numeric) = 2212.1178784309460928122653353895
absolute error = 5.60108926947e-17
relative error = 2.5320030745571521337748225450697e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.045
y[1] (analytic) = 2216.5465412615167411386035701912
y[1] (numeric) = 2216.5465412615167410824802878659
absolute error = 5.61232823253e-17
relative error = 2.5320146128471641191372063517408e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.046
y[1] (analytic) = 2220.9840702812078312582969022936
y[1] (numeric) = 2220.9840702812078312020610053337
absolute error = 5.62358969599e-17
relative error = 2.5320261280748287509485534922550e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.047
y[1] (analytic) = 2225.4304832401413586978651853895
y[1] (numeric) = 2225.4304832401413586415164483402
absolute error = 5.63487370493e-17
relative error = 2.5320376203015967430633353489692e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.048
y[1] (analytic) = 2229.8857979239750877428205625932
y[1] (numeric) = 2229.8857979239750876863587595485
absolute error = 5.64618030447e-17
relative error = 2.5320490895661997529189794923888e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.049
y[1] (analytic) = 2234.3500321539736941484497146986
y[1] (numeric) = 2234.3500321539736940918746193002
absolute error = 5.65750953984e-17
relative error = 2.5320605359161242133781709170208e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.05
y[1] (analytic) = 2238.8232037870800502222785707284
y[1] (numeric) = 2238.8232037870800501655899561649
absolute error = 5.66886145635e-17
relative error = 2.5320719593940427260408885200258e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.051
y[1] (analytic) = 2243.3053307159866526193707983757
y[1] (numeric) = 2243.3053307159866525625684373814
absolute error = 5.68023609943e-17
relative error = 2.5320833600556113825488810210798e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.052
y[1] (analytic) = 2247.7964308692071931361713507678
y[1] (numeric) = 2247.7964308692071930792550156223
absolute error = 5.69163351455e-17
relative error = 2.5320947379336682370679834431130e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.053
y[1] (analytic) = 2252.2965222111482727891783403562
y[1] (numeric) = 2252.2965222111482727321478028832
absolute error = 5.70305374730e-17
relative error = 2.5321060930738986293779358115822e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.054
y[1] (analytic) = 2256.8056227421812594652996502377
y[1] (numeric) = 2256.8056227421812594081546818039
absolute error = 5.71449684338e-17
relative error = 2.5321174255301947754568151047331e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.055
y[1] (analytic) = 2261.3237504987142894313249801424
y[1] (numeric) = 2261.3237504987142893740653516569
absolute error = 5.72596284855e-17
relative error = 2.5321287353423813007779557268286e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.056
y[1] (analytic) = 2265.8509235532644129905194609813
y[1] (numeric) = 2265.8509235532644129331449428944
absolute error = 5.73745180869e-17
relative error = 2.5321400225627540266941988884069e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.057
y[1] (analytic) = 2270.3871600145298845749215605198
y[1] (numeric) = 2270.3871600145298845174319228224
absolute error = 5.74896376974e-17
relative error = 2.5321512872294468640627429755878e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.058
y[1] (analytic) = 2274.9324780274625975625057457568
y[1] (numeric) = 2274.9324780274625975049007579793
absolute error = 5.76049877775e-17
relative error = 2.5321625293884701572635193683553e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.059
y[1] (analytic) = 2279.4868957733406641089492672398
y[1] (numeric) = 2279.4868957733406640512286984512
absolute error = 5.77205687886e-17
relative error = 2.5321737490847768489774672755174e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.06
y[1] (analytic) = 2284.0504314698411402843224891553
y[1] (numeric) = 2284.0504314698411402264861079623
absolute error = 5.78363811930e-17
relative error = 2.5321849463621914823606589508260e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=408.1MB, alloc=4.5MB, time=19.91
x[1] = 3.061
y[1] (analytic) = 2288.6231033711128968056034089241
y[1] (numeric) = 2288.6231033711128967476509834701
absolute error = 5.79524254540e-17
relative error = 2.5321961212677093918842727635149e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.062
y[1] (analytic) = 2293.204929767849635656499393519
y[1] (numeric) = 2293.2049297678496355984306914832
absolute error = 5.80687020358e-17
relative error = 2.5322072738470228394358321769321e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.063
y[1] (analytic) = 2297.795928987363052886642709149
y[1] (numeric) = 2297.7959289873630528284574977454
absolute error = 5.81852114036e-17
relative error = 2.5322184041488044215490898102839e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.064
y[1] (analytic) = 2302.3961193936561478828111386408
y[1] (numeric) = 2302.3961193936561478245091846176
absolute error = 5.83019540232e-17
relative error = 2.5322295122072225333999248688617e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.065
y[1] (analytic) = 2307.0055193874966794054108691478
y[1] (numeric) = 2307.0055193874966793469919387861
absolute error = 5.84189303617e-17
relative error = 2.5322405980723469508056230588806e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.066
y[1] (analytic) = 2311.6241474064907686840458940573
y[1] (numeric) = 2311.6241474064907686255097531703
absolute error = 5.85361408870e-17
relative error = 2.5322516617882790594928968094667e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.067
y[1] (analytic) = 2316.2520219251566498665864095126
y[1] (numeric) = 2316.2520219251566498079328234447
absolute error = 5.86535860679e-17
relative error = 2.5322627033974470607672758585478e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.068
y[1] (analytic) = 2320.8891614549985681167381001572
y[1] (numeric) = 2320.889161454998568057966833783
absolute error = 5.87712663742e-17
relative error = 2.5322737229448498777234160813793e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.069
y[1] (analytic) = 2325.5355845445808256557048029086
y[1] (numeric) = 2325.535584544580825596815620632
absolute error = 5.88891822766e-17
relative error = 2.5322847204736499513090804914591e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.07
y[1] (analytic) = 2330.1913097796019760441288141408
y[1] (numeric) = 2330.191309779601975985121479894
absolute error = 5.90073342468e-17
relative error = 2.5322956960294015376260404724776e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.071
y[1] (analytic) = 2334.8563557829691670010860669626
y[1] (numeric) = 2334.856355782969166941960344205
absolute error = 5.91257227576e-17
relative error = 2.5323066496642282612375475723900e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.072
y[1] (analytic) = 2339.5307412148726320575075536949
y[1] (numeric) = 2339.5307412148726319982632054127
absolute error = 5.92443482822e-17
relative error = 2.5323175814067553883352152190604e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.073
y[1] (analytic) = 2344.2144847728603313419937065578
y[1] (numeric) = 2344.2144847728603312826304952625
absolute error = 5.93632112953e-17
relative error = 2.5323284913091867762472245171078e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.074
y[1] (analytic) = 2348.9076051919127417975849793426
y[1] (numeric) = 2348.9076051919127417381026670702
absolute error = 5.94823122724e-17
relative error = 2.5323393794171873382537976600337e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.075
y[1] (analytic) = 2353.6101212445177971286495968734
y[1] (numeric) = 2353.6101212445177970690479451837
absolute error = 5.96016516897e-17
relative error = 2.5323502457656177356093196094327e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.076
y[1] (analytic) = 2358.3220517407459777776483597294
y[1] (numeric) = 2358.3220517407459777179271297046
absolute error = 5.97212300248e-17
relative error = 2.5323610904082428511369901837816e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.077
y[1] (analytic) = 2363.0434155283255512321365114056
y[1] (numeric) = 2363.0434155283255511722954636498
absolute error = 5.98410477558e-17
relative error = 2.5323719133793753056962185724501e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.078
y[1] (analytic) = 2367.7742314927179629629639962414
y[1] (numeric) = 2367.7742314927179629030028908793
absolute error = 5.99611053621e-17
relative error = 2.5323827147277748827551582539320e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.079
y[1] (analytic) = 2372.5145185571933782952379614384
y[1] (numeric) = 2372.5145185571933782351565581145
absolute error = 6.00814033239e-17
relative error = 2.5323934944953483794147445289995e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.08
y[1] (analytic) = 2377.26429568290637551421508774
y[1] (numeric) = 2377.2642956829063754540131456177
absolute error = 6.02019421223e-17
relative error = 2.5324042527213428704767903731059e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.081
y[1] (analytic) = 2382.0235818689717905088962732672
y[1] (numeric) = 2382.0235818689717904485735510276
absolute error = 6.03227222396e-17
relative error = 2.5324149894548851707198194854711e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.082
y[1] (analytic) = 2386.7923961525407132567023460136
y[1] (numeric) = 2386.7923961525407131962586018548
absolute error = 6.04437441588e-17
relative error = 2.5324257047338531812258593021712e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.083
y[1] (analytic) = 2391.5707576088766364532168450338
y[1] (numeric) = 2391.5707576088766363926518366697
absolute error = 6.05650083641e-17
relative error = 2.5324363986058132937712595039979e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.084
y[1] (analytic) = 2396.3586853514317565915904908252
y[1] (numeric) = 2396.3586853514317565309039754847
absolute error = 6.06865153405e-17
relative error = 2.5324470711111503231930323339525e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.085
y[1] (analytic) = 2401.1561985319234277968117642576
y[1] (numeric) = 2401.1561985319234277360034986835
absolute error = 6.08082655741e-17
relative error = 2.5324577222955515564531565737091e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.086
y[1] (analytic) = 2405.9633163404107687206590330706
y[1] (numeric) = 2405.9633163404107686597287735188
absolute error = 6.09302595518e-17
relative error = 2.5324683521974033711608515800167e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.087
y[1] (analytic) = 2410.7800580053714228037619078904
y[1] (numeric) = 2410.7800580053714227427094101289
absolute error = 6.10524977615e-17
relative error = 2.5324789608560786364193536891737e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.088
y[1] (analytic) = 2415.6064427937784722118129783579
y[1] (numeric) = 2415.6064427937784721506379976655
absolute error = 6.11749806924e-17
relative error = 2.5324895483242647832940250065381e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.089
y[1] (analytic) = 2420.4424900111775057535857767668
y[1] (numeric) = 2420.4424900111775056922880679326
absolute error = 6.12977088342e-17
relative error = 2.5325001146346976272911627939768e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=412.0MB, alloc=4.5MB, time=20.10
TOP MAIN SOLVE Loop
x[1] = 3.09
y[1] (analytic) = 2425.2882190017638410890307440421
y[1] (numeric) = 2425.2882190017638410276100613641
absolute error = 6.14206826780e-17
relative error = 2.5325106598373877862141919940402e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.091
y[1] (analytic) = 2430.1436491484599015363381334039
y[1] (numeric) = 2430.1436491484599014747942306883
absolute error = 6.15439027156e-17
relative error = 2.5325211839705621263827765908279e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.092
y[1] (analytic) = 2435.0087998729927477874751831389
y[1] (numeric) = 2435.0087998729927477258078136991
absolute error = 6.16673694398e-17
relative error = 2.5325316870730199787024564444392e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.093
y[1] (analytic) = 2439.8836906359717648423245240032
y[1] (numeric) = 2439.8836906359717647805334406586
absolute error = 6.17910833446e-17
relative error = 2.5325421691922432118562177249752e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.094
y[1] (analytic) = 2444.7683409369665044721716613923
y[1] (numeric) = 2444.7683409369665044102566164674
absolute error = 6.19150449249e-17
relative error = 2.5325526303719570478929646160877e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.095
y[1] (analytic) = 2449.6627703145846835239114900185
y[1] (numeric) = 2449.6627703145846834618722353422
absolute error = 6.20392546763e-17
relative error = 2.5325630706439215092113011352338e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.096
y[1] (analytic) = 2454.5669983465503383769671619204
y[1] (numeric) = 2454.5669983465503383148034488245
absolute error = 6.21637130959e-17
relative error = 2.5325734900605617121781964320502e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.097
y[1] (analytic) = 2459.4810446497821358655392396839
y[1] (numeric) = 2459.4810446497821358032508190025
absolute error = 6.22884206814e-17
relative error = 2.5325838886580872674410801585837e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.098
y[1] (analytic) = 2464.4049288804718409794289282881
y[1] (numeric) = 2464.4049288804718409170155503565
absolute error = 6.24133779316e-17
relative error = 2.5325942664768612505149038434038e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.099
y[1] (analytic) = 2469.338670734162941657306293491
y[1] (numeric) = 2469.3386707341629415947677081446
absolute error = 6.25385853464e-17
relative error = 2.5326046235612774571384967985614e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.1
y[1] (analytic) = 2474.2822899458294309869227446618
y[1] (numeric) = 2474.2822899458294309242587012352
absolute error = 6.26640434266e-17
relative error = 2.5326149599515555654207942578446e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.101
y[1] (analytic) = 2479.2358062899547471273966879525
y[1] (numeric) = 2479.2358062899547470646069352784
absolute error = 6.27897526741e-17
relative error = 2.5326252756917682555518641995327e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.102
y[1] (analytic) = 2484.1992395806108712693321442044
y[1] (numeric) = 2484.1992395806108712064164306128
absolute error = 6.29157135916e-17
relative error = 2.5326355708176449749809559458330e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.103
y[1] (analytic) = 2489.1726096715375839491622775286
y[1] (numeric) = 2489.1726096715375838861203508455
absolute error = 6.30419266831e-17
relative error = 2.5326458453766607103127068208931e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.104
y[1] (analytic) = 2494.1559364562218800347431976085
y[1] (numeric) = 2494.155936456221879971574805155
absolute error = 6.31683924535e-17
relative error = 2.5326560994117999175673389717392e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.105
y[1] (analytic) = 2499.1492398679775426998580839874
y[1] (numeric) = 2499.149239867977542636562972579
absolute error = 6.32951114084e-17
relative error = 2.5326663329535169467501919572816e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.106
y[1] (analytic) = 2504.1525398800248767059276364562
y[1] (numeric) = 2504.1525398800248766425055524014
absolute error = 6.34220840548e-17
relative error = 2.5326765460477332506573589716731e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.107
y[1] (analytic) = 2509.1658565055706013098600846932
y[1] (numeric) = 2509.1658565055706012463107737924
absolute error = 6.35493109008e-17
relative error = 2.5326867387436456661890215631267e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.108
y[1] (analytic) = 2514.18920979788790311761249508
y[1] (numeric) = 2514.189209797887903053935702625
absolute error = 6.36767924550e-17
relative error = 2.5326969110697474847025743040244e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.109
y[1] (analytic) = 2519.2226198503966492036748956779
y[1] (numeric) = 2519.2226198503966491398703664505
absolute error = 6.38045292274e-17
relative error = 2.5327070630696787976684424371243e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.11
y[1] (analytic) = 2524.266106796743760817329804249
y[1] (numeric) = 2524.2661067967437607533972825199
absolute error = 6.39325217291e-17
relative error = 2.5327171947901095722022147373379e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.111
y[1] (analytic) = 2529.3196908108837479971820915273
y[1] (numeric) = 2529.3196908108837479331213210554
absolute error = 6.40607704719e-17
relative error = 2.5327273062648132823578269454807e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.112
y[1] (analytic) = 2534.3833921071594054160977452382
y[1] (numeric) = 2534.3833921071594053519084692694
absolute error = 6.41892759688e-17
relative error = 2.5327373975344427156051590521134e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.113
y[1] (analytic) = 2539.4572309403826697793350222158
y[1] (numeric) = 2539.4572309403826697150169834818
absolute error = 6.43180387340e-17
relative error = 2.5327474686463800666402499289188e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.114
y[1] (analytic) = 2544.5412276059156390992976889518
y[1] (numeric) = 2544.5412276059156390348506296694
absolute error = 6.44470592824e-17
relative error = 2.5327575196349383451380189869901e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.115
y[1] (analytic) = 2549.6354024397517541709875576167
y[1] (numeric) = 2549.6354024397517541064112194866
absolute error = 6.45763381301e-17
relative error = 2.5327675505410208556330010875441e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.116
y[1] (analytic) = 2554.739775818597142572882327603
y[1] (numeric) = 2554.7397758185971425081764518088
absolute error = 6.47058757942e-17
relative error = 2.5327775614041455652608898018381e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.117
y[1] (analytic) = 2559.8543681599521255186148445621
y[1] (numeric) = 2559.8543681599521254537791717692
absolute error = 6.48356727929e-17
relative error = 2.5327875522662839417933317739931e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.118
y[1] (analytic) = 2564.9791999221928878854812923269
y[1] (numeric) = 2564.9791999221928878205155626815
memory used=415.8MB, alloc=4.5MB, time=20.31
absolute error = 6.49657296454e-17
relative error = 2.5327975231678563556571907847890e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.119
y[1] (analytic) = 2570.1142916046533117464585406469
y[1] (numeric) = 2570.1142916046533116813624937751
absolute error = 6.50960468718e-17
relative error = 2.5328074741437751776396716195341e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.12
y[1] (analytic) = 2575.2596637477069737330648859162
y[1] (numeric) = 2575.2596637477069736678382609226
absolute error = 6.52266249936e-17
relative error = 2.5328174052428338613353440551203e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.121
y[1] (analytic) = 2580.4153369328493065570537456668
y[1] (numeric) = 2580.4153369328493064916962811339
absolute error = 6.53574645329e-17
relative error = 2.5328273164964842675921421340348e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.122
y[1] (analytic) = 2585.581331782779925019586503152
y[1] (numeric) = 2585.5813317827799249540979371388
absolute error = 6.54885660132e-17
relative error = 2.5328372079498689265072601090775e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.123
y[1] (analytic) = 2590.7576689614851168371886484774
y[1] (numeric) = 2590.7576689614851167715687185186
absolute error = 6.56199299588e-17
relative error = 2.5328470796384439108810923704210e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.124
y[1] (analytic) = 2595.9443691743204986144526300937
y[1] (numeric) = 2595.9443691743204985487010731985
absolute error = 6.57515568952e-17
relative error = 2.5328569316034025984798838026501e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.125
y[1] (analytic) = 2601.1414531680938372941114176696
y[1] (numeric) = 2601.1414531680938372282279703207
absolute error = 6.58834473489e-17
relative error = 2.5328667638838481523765274087336e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.126
y[1] (analytic) = 2606.3489417311480374157686870678
y[1] (numeric) = 2606.3489417311480373497530852204
absolute error = 6.60156018474e-17
relative error = 2.5328765765167328997577303575506e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.127
y[1] (analytic) = 2611.5668556934442945152347729949
y[1] (numeric) = 2611.5668556934442944490867520755
absolute error = 6.61480209194e-17
relative error = 2.5328863695444566355487728967651e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.128
y[1] (analytic) = 2616.7952159266454149970820975398
y[1] (numeric) = 2616.7952159266454149308013924452
absolute error = 6.62807050946e-17
relative error = 2.5328961430070879285136144680806e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.129
y[1] (analytic) = 2622.0340433441993028136996759159
y[1] (numeric) = 2622.0340433441993027472860210122
absolute error = 6.64136549037e-17
relative error = 2.5329058969423058540280553036685e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.13
y[1] (analytic) = 2627.2833589014226132847935269402
y[1] (numeric) = 2627.2833589014226132182466560617
absolute error = 6.65468708785e-17
relative error = 2.5329156313891486128476024326327e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.131
y[1] (analytic) = 2632.54318359558457439194837779
y[1] (numeric) = 2632.5431835955845743252680242381
absolute error = 6.66803535519e-17
relative error = 2.5329253463879185816208406303809e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.132
y[1] (analytic) = 2637.8135384659909758835359530453
y[1] (numeric) = 2637.8135384659909758167218495875
absolute error = 6.68141034578e-17
relative error = 2.5329350419762972374053605858540e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.133
y[1] (analytic) = 2643.0944445940683265259263796356
y[1] (numeric) = 2643.0944445940683264589782585044
absolute error = 6.69481211312e-17
relative error = 2.5329447181930733043757844439015e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.134
y[1] (analytic) = 2648.3859231034481798376318247466
y[1] (numeric) = 2648.3859231034481797705494176385
absolute error = 6.70824071081e-17
relative error = 2.5329543750742744301646101617872e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.135
y[1] (analytic) = 2653.6879951600516286436854156955
y[1] (numeric) = 2653.6879951600516285764684537698
absolute error = 6.72169619257e-17
relative error = 2.5329640126606500265973499866075e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.136
y[1] (analytic) = 2659.0006819721739687882337719504
y[1] (numeric) = 2659.0006819721739687208819858281
absolute error = 6.73517861223e-17
relative error = 2.5329736309937819727549110156888e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.137
y[1] (analytic) = 2664.3240047905695323439981125478
y[1] (numeric) = 2664.3240047905695322765112323107
absolute error = 6.74868802371e-17
relative error = 2.5329832301084881988466830347026e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.138
y[1] (analytic) = 2669.6579849085366906579368898652
y[1] (numeric) = 2669.6579849085366905903146450546
absolute error = 6.76222448106e-17
relative error = 2.5329928100477919102984358106132e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.139
y[1] (analytic) = 2675.0026436620030275731222457352
y[1] (numeric) = 2675.0026436620030275053643653511
absolute error = 6.77578803841e-17
relative error = 2.5330023708440667741244288719414e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.14
y[1] (analytic) = 2680.3580024296106831675232909724
y[1] (numeric) = 2680.3580024296106830996295034722
absolute error = 6.78937875002e-17
relative error = 2.5330119125377159307479692050744e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.141
y[1] (analytic) = 2685.7240826328018683510712772374
y[1] (numeric) = 2685.724082632801868283041310535
absolute error = 6.80299667024e-17
relative error = 2.5330214351621170380733475453717e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.142
y[1] (analytic) = 2691.1009057359045506630651635178
y[1] (numeric) = 2691.1009057359045505948987449822
absolute error = 6.81664185356e-17
relative error = 2.5330309387621907121296025551186e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.143
y[1] (analytic) = 2696.4884932462183116126608810967
y[1] (numeric) = 2696.4884932462183115443577375511
absolute error = 6.83031435456e-17
relative error = 2.5330404233756613563675329819731e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.144
y[1] (analytic) = 2701.8868667141003759058737734417
y[1] (numeric) = 2701.8868667141003758374336311624
absolute error = 6.84401422793e-17
relative error = 2.5330498890404496018775506671527e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.145
y[1] (analytic) = 2707.2960477330518129032112337308
y[1] (numeric) = 2707.2960477330518128346338184461
absolute error = 6.85774152847e-17
relative error = 2.5330593357945889475545680743217e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.146
y[1] (analytic) = 2712.7160579398039106527414854794
y[1] (numeric) = 2712.7160579398039105840265223688
absolute error = 6.87149631106e-17
relative error = 2.5330687636650841964457207008322e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=419.6MB, alloc=4.5MB, time=20.51
x[1] = 3.147
y[1] (analytic) = 2718.1469190144047228440947537115
y[1] (numeric) = 2718.1469190144047227752419674038
absolute error = 6.88527863077e-17
relative error = 2.5330781727084089640335255864389e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.148
y[1] (analytic) = 2723.5886526803057890295847580718
y[1] (numeric) = 2723.5886526803057889605938726448
absolute error = 6.89908854270e-17
relative error = 2.5330875629513842851792476048635e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.149
y[1] (analytic) = 2729.0412807044490284593315279959
y[1] (numeric) = 2729.0412807044490283902022669751
absolute error = 6.91292610208e-17
relative error = 2.5330969344280355940782468868883e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.15
y[1] (analytic) = 2734.5048248973538078779609962861
y[1] (numeric) = 2734.5048248973538078086930826433
absolute error = 6.92679136428e-17
relative error = 2.5331062871830967475508992950828e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.151
y[1] (analytic) = 2739.9793071132041836311526739808
y[1] (numeric) = 2739.9793071132041835617458301333
absolute error = 6.94068438475e-17
relative error = 2.5331156212499238097541888620001e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.152
y[1] (analytic) = 2745.4647492499363184310039490335
y[1] (numeric) = 2745.4647492499363183614578968428
absolute error = 6.95460521907e-17
relative error = 2.5331249366687388777699601664371e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.153
y[1] (analytic) = 2750.9611732493260731298781868118
y[1] (numeric) = 2750.9611732493260730601926475826
absolute error = 6.96855392292e-17
relative error = 2.5331342334755749709218709027153e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.154
y[1] (analytic) = 2756.4686010970767738531038445997
y[1] (numeric) = 2756.4686010970767737832785390788
absolute error = 6.98253055209e-17
relative error = 2.5331435117058641946695160305387e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.155
y[1] (analytic) = 2761.9870548229071548415932479216
y[1] (numeric) = 2761.9870548229071547716278962966
absolute error = 6.99653516250e-17
relative error = 2.5331527714016035573013984001314e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.156
y[1] (analytic) = 2767.5165565006394773561525164198
y[1] (numeric) = 2767.5165565006394772860468383183
absolute error = 7.01056781015e-17
relative error = 2.5331620125931413195697284532160e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.157
y[1] (analytic) = 2773.0571282482878249959583740188
y[1] (numeric) = 2773.057128248287824925712088507
absolute error = 7.02462855118e-17
relative error = 2.5331712353208485446102434094476e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.158
y[1] (analytic) = 2778.6087922281465757843832350088
y[1] (numeric) = 2778.6087922281465757139960605906
absolute error = 7.03871744182e-17
relative error = 2.5331804396169432248947608682234e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.159
y[1] (analytic) = 2784.171570646879051376057027313
y[1] (numeric) = 2784.1715706468790513055286819284
absolute error = 7.05283453846e-17
relative error = 2.5331896255306323302773598203803e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.16
y[1] (analytic) = 2789.7454857556063437397626993832
y[1] (numeric) = 2789.7454857556063436690929004079
absolute error = 7.06697989753e-17
relative error = 2.5331987930848462048828012327312e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.161
y[1] (analytic) = 2795.3305598499963196724722607446
y[1] (numeric) = 2795.3305598499963196016607249881
absolute error = 7.08115357565e-17
relative error = 2.5332079423300801012902158019921e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.162
y[1] (analytic) = 2800.9268152703528035005415310018
y[1] (numeric) = 2800.9268152703528034295879747071
absolute error = 7.09535562947e-17
relative error = 2.5332170732869140182662880535559e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.163
y[1] (analytic) = 2806.5342744017049383247945210008
y[1] (numeric) = 2806.5342744017049382536986598425
absolute error = 7.10958611583e-17
relative error = 2.5332261860032394285268629688913e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.164
y[1] (analytic) = 2812.1529596738967261669425456279
y[1] (numeric) = 2812.1529596738967260957040947114
absolute error = 7.12384509165e-17
relative error = 2.5332352805147897496888919571401e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.165
y[1] (analytic) = 2817.7828935616767473754987733119
y[1] (numeric) = 2817.7828935616767473041174471724
absolute error = 7.13813261395e-17
relative error = 2.5332443568522777419444981100135e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.166
y[1] (analytic) = 2823.4240985847880596500659555132
y[1] (numeric) = 2823.4240985847880595785414681142
absolute error = 7.15244873990e-17
relative error = 2.5332534150590733007215770219423e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.167
y[1] (analytic) = 2829.0765973080582770435935532148
y[1] (numeric) = 2829.0765973080582769719256179473
absolute error = 7.16679352675e-17
relative error = 2.5332624551662527972063460193050e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.168
y[1] (analytic) = 2834.7404123414898293029203895506
y[1] (numeric) = 2834.7404123414898292311087192319
absolute error = 7.18116703187e-17
relative error = 2.5332714772067508648021876321352e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.169
y[1] (analytic) = 2840.4155663403504019086403110868
y[1] (numeric) = 2840.415566340350401836684617959
absolute error = 7.19556931278e-17
relative error = 2.5332804812258224929286553481892e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.17
y[1] (analytic) = 2846.1020820052635571760511378048
y[1] (numeric) = 2846.1020820052635571039511335342
absolute error = 7.21000042706e-17
relative error = 2.5332894672492164973742658688876e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.171
y[1] (analytic) = 2851.7999820822995367796714264123
y[1] (numeric) = 2851.7999820822995367074268220876
absolute error = 7.22446043247e-17
relative error = 2.5332984353253673287413801011858e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.172
y[1] (analytic) = 2857.5092893630662460645352661158
y[1] (numeric) = 2857.5092893630662459921457722476
absolute error = 7.23894938682e-17
relative error = 2.5333073854795933079559488640384e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.173
y[1] (analytic) = 2863.2300266848004205082024733499
y[1] (numeric) = 2863.2300266848004204356677998691
absolute error = 7.25346734808e-17
relative error = 2.5333163177526638302733015326553e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.174
y[1] (analytic) = 2868.962216930458974698150155057
y[1] (numeric) = 2868.9622169304589746254700113139
absolute error = 7.26801437431e-17
relative error = 2.5333252321761649864448449521875e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.175
y[1] (analytic) = 2874.7058830288105341899416718834
y[1] (numeric) = 2874.7058830288105341171157666461
absolute error = 7.28259052373e-17
relative error = 2.5333341287968600474971623260999e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=423.4MB, alloc=4.5MB, time=20.70
TOP MAIN SOLVE Loop
x[1] = 3.176
y[1] (analytic) = 2880.461047954527150612300556009
y[1] (numeric) = 2880.461047954527150539328597463
absolute error = 7.29719585460e-17
relative error = 2.5333430076347966379559799658023e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.177
y[1] (analytic) = 2886.2277347282762003859499261958
y[1] (numeric) = 2886.2277347282762003128316219421
absolute error = 7.31183042537e-17
relative error = 2.5333518687354627598477270433055e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.178
y[1] (analytic) = 2892.0059664168124674238123979406
y[1] (numeric) = 2892.0059664168124673505474549949
absolute error = 7.32649429457e-17
relative error = 2.5333607121314160078402680540362e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.179
y[1] (analytic) = 2897.7957661330704101809014123116
y[1] (numeric) = 2897.7957661330704101074895371032
absolute error = 7.34118752084e-17
relative error = 2.5333695378526836719997273737689e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.18
y[1] (analytic) = 2903.5971570362566134229723060564
y[1] (numeric) = 2903.5971570362566133494132044265
absolute error = 7.35591016299e-17
relative error = 2.5333783459473707842099451325543e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.181
y[1] (analytic) = 2909.4101623319424250837403208524
y[1] (numeric) = 2909.4101623319424250100336980536
absolute error = 7.37066227988e-17
relative error = 2.5333871364401528924934383761344e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.182
y[1] (analytic) = 2915.2348052721567785812131040916
y[1] (numeric) = 2915.2348052721567785073586647862
absolute error = 7.38544393054e-17
relative error = 2.5333959093735913085169345358462e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.183
y[1] (analytic) = 2921.0711091554792009644270902885
y[1] (numeric) = 2921.0711091554792008904245385477
absolute error = 7.40025517408e-17
relative error = 2.5334046647770628671131435977984e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.184
y[1] (analytic) = 2926.9190973271330072626204740712
y[1] (numeric) = 2926.9190973271330071884695133738
absolute error = 7.41509606974e-17
relative error = 2.5334134026838927878096351950609e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.185
y[1] (analytic) = 2932.7787931790786814096202957042
y[1] (numeric) = 2932.7787931790786813353206289352
absolute error = 7.42996667690e-17
relative error = 2.5334221231346438294894910195118e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.186
y[1] (analytic) = 2938.6502201501074441169674612004
y[1] (numeric) = 2938.6502201501074440425187906501
absolute error = 7.44486705503e-17
relative error = 2.5334308261599480777395796655973e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.187
y[1] (analytic) = 2944.5334017259350080700513142793
y[1] (numeric) = 2944.5334017259350079954533416419
absolute error = 7.45979726374e-17
relative error = 2.5334395117975051856300173146656e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.188
y[1] (analytic) = 2950.4283614392955208222746697164
y[1] (numeric) = 2950.4283614392955207475270960889
absolute error = 7.47475736275e-17
relative error = 2.5334481800817625621565594106017e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.189
y[1] (analytic) = 2956.3351228700356957630210100016
y[1] (numeric) = 2956.3351228700356956881235358826
absolute error = 7.48974741190e-17
relative error = 2.5334568310472489537044536687355e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.19
y[1] (analytic) = 2962.2537096452091315359478426827
y[1] (numeric) = 2962.2537096452091314609001679713
absolute error = 7.50476747114e-17
relative error = 2.5334654647251164764187290259025e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.191
y[1] (analytic) = 2968.184145439170820284884017328
y[1] (numeric) = 2968.1841454391708202096858413223
absolute error = 7.51981760057e-17
relative error = 2.5334740811565692497181561018608e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.192
y[1] (analytic) = 2974.1264539736718451053641117056
y[1] (numeric) = 2974.1264539736718450300151331019
absolute error = 7.53489786037e-17
relative error = 2.5334826803691454352773246830139e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.193
y[1] (analytic) = 2980.0806590179542670805898195841
y[1] (numeric) = 2980.0806590179542670050897364753
absolute error = 7.55000831088e-17
relative error = 2.5334912624036170496244493743316e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.194
y[1] (analytic) = 2986.0467843888462022813666105124
y[1] (numeric) = 2986.046784388846202205715120387
absolute error = 7.56514901254e-17
relative error = 2.5334998272936832237107886788989e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.195
y[1] (analytic) = 2992.0248539508570891103237880972
y[1] (numeric) = 2992.0248539508570890345205878384
absolute error = 7.58032002588e-17
relative error = 2.5335083750626170354378849579191e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.196
y[1] (analytic) = 2998.0148916162731463714874506814
y[1] (numeric) = 2998.0148916162731462955322365651
absolute error = 7.59552141163e-17
relative error = 2.5335169057599792839394346788162e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.197
y[1] (analytic) = 3004.01692134525302244703875999
y[1] (numeric) = 3004.0169213452530223709312276844
absolute error = 7.61075323056e-17
relative error = 2.5335254194080129455778728010796e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.198
y[1] (analytic) = 3010.0309671459236359638543523135
y[1] (numeric) = 3010.0309671459236358875941968773
absolute error = 7.62601554362e-17
relative error = 2.5335339160483452657889160285719e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.199
y[1] (analytic) = 3016.0570530744762083331916861731
y[1] (numeric) = 3016.0570530744762082567786020546
absolute error = 7.64130841185e-17
relative error = 2.5335423957118729506725909336563e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.2
y[1] (analytic) = 3022.0952032352624885476496132563
y[1] (numeric) = 3022.095203235262488471083294292
absolute error = 7.65663189643e-17
relative error = 2.5335508584353325285306935892857e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.201
y[1] (analytic) = 3028.1454417808911706203034887625
y[1] (numeric) = 3028.1454417808911705435836281761
absolute error = 7.67198605864e-17
relative error = 2.5335593042479513813649268507150e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.202
y[1] (analytic) = 3034.2077929123245040516847062572
y[1] (numeric) = 3034.2077929123245039748109966581
absolute error = 7.68737095991e-17
relative error = 2.5335677331879200692323513023176e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.203
y[1] (analytic) = 3040.2822808789750977110466537658
y[1] (numeric) = 3040.282280878975097634018787148
absolute error = 7.70278666178e-17
relative error = 2.5335761452890649548949669232895e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.204
y[1] (analytic) = 3046.3689299788029175191327452431
y[1] (numeric) = 3046.3689299788029174419504129842
absolute error = 7.71823322589e-17
relative error = 2.5335845405775276865362699272444e-18 %
Correct digits = 19
h = 0.001
memory used=427.2MB, alloc=4.5MB, time=20.90
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.205
y[1] (analytic) = 3052.4677645584124783204373878217
y[1] (numeric) = 3052.4677645584124782431002806812
absolute error = 7.73371071405e-17
relative error = 2.5335929190946928863269794491101e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.206
y[1] (analytic) = 3058.5788090131502303337275034706
y[1] (numeric) = 3058.578809013150230256235311589
absolute error = 7.74921918816e-17
relative error = 2.5336012808707988925266636685263e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.207
y[1] (analytic) = 3064.7020877872021405703705370004
y[1] (numeric) = 3064.7020877872021404927229498977
absolute error = 7.76475871027e-17
relative error = 2.5336096259445452190494619516139e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.208
y[1] (analytic) = 3070.8376253736914696107947538342
y[1] (numeric) = 3070.8376253736914695329914604092
absolute error = 7.78032934250e-17
relative error = 2.5336179543368752957791304889074e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.209
y[1] (analytic) = 3076.9854463147767441301890637566
y[1] (numeric) = 3076.985446314776744052229752285
absolute error = 7.79593114716e-17
relative error = 2.5336262660900715138180862382479e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.21
y[1] (analytic) = 3083.1455752017499255653326040674
y[1] (numeric) = 3083.1455752017499254872169622008
absolute error = 7.81156418666e-17
relative error = 2.5336345612382702415407111768893e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.211
y[1] (analytic) = 3089.3180366751347753152288803518
y[1] (numeric) = 3089.3180366751347752369565951165
absolute error = 7.82722852353e-17
relative error = 2.5336428398139354308334411528467e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.212
y[1] (analytic) = 3095.5028554247854168690053985572
y[1] (numeric) = 3095.502855424785416790576156353
absolute error = 7.84292422042e-17
relative error = 2.5336511018477939541428625143171e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.213
y[1] (analytic) = 3101.7000561899850952553274313902
y[1] (numeric) = 3101.700056189985095176740917989
absolute error = 7.85865134012e-17
relative error = 2.5336593473752197293523110881648e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.214
y[1] (analytic) = 3107.9096637595451342083638483692
y[1] (numeric) = 3107.9096637595451341296197489139
absolute error = 7.87440994553e-17
relative error = 2.5336675764264532680607034698916e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.215
y[1] (analytic) = 3114.1317029719040914461338053388
y[1] (numeric) = 3114.1317029719040913672318043417
absolute error = 7.89020009971e-17
relative error = 2.5336757890426273738346404273949e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.216
y[1] (analytic) = 3120.3661987152271124578555390382
y[1] (numeric) = 3120.3661987152271123787953203805
absolute error = 7.90602186577e-17
relative error = 2.5336839852403248342571138812335e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.217
y[1] (analytic) = 3126.613175927505483197712548594
y[1] (numeric) = 3126.6131759275054831184937955236
absolute error = 7.92187530704e-17
relative error = 2.5336921650661139506539997606061e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.218
y[1] (analytic) = 3132.8726595966563820832480717344
y[1] (numeric) = 3132.8726595966563820038704668652
absolute error = 7.93776048692e-17
relative error = 2.5337003285482889231870438919414e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.219
y[1] (analytic) = 3139.1446747606228316973959823096
y[1] (numeric) = 3139.14467476062283161785920762
absolute error = 7.95367746896e-17
relative error = 2.5337084757224551812740992702766e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.22
y[1] (analytic) = 3145.4292465074738505939550505082
y[1] (numeric) = 3145.4292465074738505142587873402
absolute error = 7.96962631680e-17
relative error = 2.5337166066122998963584402747639e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.221
y[1] (analytic) = 3151.7263999755048056071139212046
y[1] (numeric) = 3151.7263999755048055272578502618
absolute error = 7.98560709428e-17
relative error = 2.5337247212645311089139703831260e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.222
y[1] (analytic) = 3158.0361603533379650664361823372
y[1] (numeric) = 3158.0361603533379649864199836843
absolute error = 8.00161986529e-17
relative error = 2.5337328197010689077938806337771e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.223
y[1] (analytic) = 3164.3585528800232533195185173328
y[1] (numeric) = 3164.358552880023253239341870394
absolute error = 8.01766469388e-17
relative error = 2.5337409019539733525095588402055e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.224
y[1] (analytic) = 3170.6936028451392069653401665457
y[1] (numeric) = 3170.6936028451392068850027501033
absolute error = 8.03374164424e-17
relative error = 2.5337489680589545045814257072440e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.225
y[1] (analytic) = 3177.0413355888941332021287657194
y[1] (numeric) = 3177.0413355888941331216302579125
absolute error = 8.04985078069e-17
relative error = 2.5337570180521070737373311125952e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.226
y[1] (analytic) = 3183.4017765022274706943760878116
y[1] (numeric) = 3183.4017765022274706137161661351
absolute error = 8.06599216765e-17
relative error = 2.5337650519604012392245782554421e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.227
y[1] (analytic) = 3189.7749510269113533644472913936
y[1] (numeric) = 3189.7749510269113532836256326968
absolute error = 8.08216586968e-17
relative error = 2.5337730698142324014923612130151e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.228
y[1] (analytic) = 3196.160884655652377515038977479
y[1] (numeric) = 3196.1608846556523774340552579643
absolute error = 8.09837195147e-17
relative error = 2.5337810716441771009027504177693e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.229
y[1] (analytic) = 3202.5596029321935726895546803044
y[1] (numeric) = 3202.5596029321935726084085755256
absolute error = 8.11461047788e-17
relative error = 2.5337890574933999701572230136112e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.23
y[1] (analytic) = 3208.9711314514165766782813695229
y[1] (numeric) = 3208.9711314514165765969725543846
absolute error = 8.13088151383e-17
relative error = 2.5337970273831678231763702405841e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.231
y[1] (analytic) = 3215.3954958594440150790671247538
y[1] (numeric) = 3215.3954958594440149975952735096
absolute error = 8.14718512442e-17
relative error = 2.5338049813503071022374966871712e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.232
y[1] (analytic) = 3221.8327218537420858220183617009
y[1] (numeric) = 3221.8327218537420857403831479523
absolute error = 8.16352137486e-17
relative error = 2.5338129194252407845873129010464e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=431.0MB, alloc=4.5MB, time=21.11
x[1] = 3.233
y[1] (analytic) = 3228.282835183223349068554845411
y[1] (numeric) = 3228.282835183223348986755942106
absolute error = 8.17989033050e-17
relative error = 2.5338208416412637089943153356165e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.234
y[1] (analytic) = 3234.7458616483497228959822239436
y[1] (numeric) = 3234.7458616483497228140193033755
absolute error = 8.19629205681e-17
relative error = 2.5338287480282497634363649630090e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.235
y[1] (analytic) = 3241.2218271012356851795649580716
y[1] (numeric) = 3241.2218271012356850974376918775
absolute error = 8.21272661941e-17
relative error = 2.5338366386218604567468347580372e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.236
y[1] (analytic) = 3247.7107574457516820849073129048
y[1] (numeric) = 3247.7107574457516820026153720647
absolute error = 8.22919408401e-17
relative error = 2.5338445134449313110398729774489e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.237
y[1] (analytic) = 3254.2126786376277435842765188412
y[1] (numeric) = 3254.2126786376277435018195736762
absolute error = 8.24569451650e-17
relative error = 2.5338523725351749825383510918433e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.238
y[1] (analytic) = 3260.7276166845573064113303052896
y[1] (numeric) = 3260.7276166845573063287080254608
absolute error = 8.26222798288e-17
relative error = 2.5338602159234840779060608113419e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.239
y[1] (analytic) = 3267.2555976463012448695407645066
y[1] (numeric) = 3267.2555976463012447867528190138
absolute error = 8.27879454928e-17
relative error = 2.5338680436400390774386956847004e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.24
y[1] (analytic) = 3273.7966476347921099104379179504
y[1] (numeric) = 3273.7966476347921098274839751307
absolute error = 8.29539428197e-17
relative error = 2.5338758557172887223920801839977e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.241
y[1] (analytic) = 3280.3507928142385768986294371106
y[1] (numeric) = 3280.3507928142385768155091646371
absolute error = 8.31202724735e-17
relative error = 2.5338836521867976432615381583502e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.242
y[1] (analytic) = 3286.9180594012301024813877181578
y[1] (numeric) = 3286.9180594012301023981007830383
absolute error = 8.32869351195e-17
relative error = 2.5338914330791738427784556736821e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.243
y[1] (analytic) = 3293.4984736648417909814319283024
y[1] (numeric) = 3293.4984736648417908979779968781
absolute error = 8.34539314243e-17
relative error = 2.5338991984239969370568386235834e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.244
y[1] (analytic) = 3300.0920619267394707323707348142
y[1] (numeric) = 3300.0920619267394706487494727583
absolute error = 8.36212620559e-17
relative error = 2.5339069482527773687738780877579e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.245
y[1] (analytic) = 3306.698850561284980777111198574
y[1] (numeric) = 3306.6988505612849806933222708903
absolute error = 8.37889276837e-17
relative error = 2.5339146825988558789037173294169e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.246
y[1] (analytic) = 3313.318865995641668350380766176
y[1] (numeric) = 3313.3188659956416682664238371976
absolute error = 8.39569289784e-17
relative error = 2.5339224014942857824539099826792e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.247
y[1] (analytic) = 3319.9521347098800975673524313318
y[1] (numeric) = 3319.9521347098800974832271647201
absolute error = 8.41252666117e-17
relative error = 2.5339301049607281626734521783971e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.248
y[1] (analytic) = 3326.598683237083969741207961023
y[1] (numeric) = 3326.5986832370839696569140197656
absolute error = 8.42939412574e-17
relative error = 2.5339377930425411549254193257324e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.249
y[1] (analytic) = 3333.2585381634562557533205978791
y[1] (numeric) = 3333.2585381634562556688576442893
absolute error = 8.44629535898e-17
relative error = 2.5339454657584711965969968364994e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.25
y[1] (analytic) = 3339.931726128425540900586861026
y[1] (numeric) = 3339.9317261284255408159545567408
absolute error = 8.46323042852e-17
relative error = 2.5339531231467381496837066676993e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.251
y[1] (analytic) = 3346.6182738247525826452869765206
y[1] (numeric) = 3346.6182738247525825604849824997
absolute error = 8.48019940209e-17
relative error = 2.5339607652348790347236312358573e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.252
y[1] (analytic) = 3353.3182079986370816937050788944
y[1] (numeric) = 3353.3182079986370816087330554188
absolute error = 8.49720234756e-17
relative error = 2.5339683920517016415249488812681e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.253
y[1] (analytic) = 3360.0315554498246668305936406458
y[1] (numeric) = 3360.0315554498246667454512473161
absolute error = 8.51423933297e-17
relative error = 2.5339760036361191519844710395147e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.254
y[1] (analytic) = 3366.7583430317140939374216101856
y[1] (numeric) = 3366.7583430317140938521085059213
absolute error = 8.53131042643e-17
relative error = 2.5339836000072658039518471567102e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.255
y[1] (analytic) = 3373.4985976514646596232024741618
y[1] (numeric) = 3373.4985976514646595377183171994
absolute error = 8.54841569624e-17
relative error = 2.5339911812001842364042415494936e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.256
y[1] (analytic) = 3380.2523462701038298975569106926
y[1] (numeric) = 3380.2523462701038298119013585842
absolute error = 8.56555521084e-17
relative error = 2.5339987472507939303452077979395e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.257
y[1] (analytic) = 3387.0196159026350843165248692626
y[1] (numeric) = 3387.019615902635084230697578875
absolute error = 8.58272903876e-17
relative error = 2.5340062981810387334833173215481e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.258
y[1] (analytic) = 3393.800433618145976032503804326
y[1] (numeric) = 3393.8004336181459759465044318388
absolute error = 8.59993724872e-17
relative error = 2.5340138340284104575941166179176e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.259
y[1] (analytic) = 3400.594826539916408180553406445
y[1] (numeric) = 3400.5948265399164080943816073497
absolute error = 8.61717990953e-17
relative error = 2.5340213548163059787748910691586e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.26
y[1] (analytic) = 3407.4028218455271270341725205556
y[1] (numeric) = 3407.4028218455271269478279496539
absolute error = 8.63445709017e-17
relative error = 2.5340288605775647615143457537255e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.261
y[1] (analytic) = 3414.2244467669684323645210191223
y[1] (numeric) = 3414.2244467669684322780033305249
absolute error = 8.65176885974e-17
relative error = 2.5340363513396488966672693295481e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=434.8MB, alloc=4.5MB, time=21.31
x[1] = 3.262
y[1] (analytic) = 3421.059728590749105437928212019
y[1] (numeric) = 3421.0597285907491053512370591439
absolute error = 8.66911528751e-17
relative error = 2.5340438271392307816430486544721e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.263
y[1] (analytic) = 3427.908694658005555087399928405
y[1] (numeric) = 3427.9086946580055550005349639766
absolute error = 8.68649644284e-17
relative error = 2.5340512879986820838059598722296e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.264
y[1] (analytic) = 3434.7713723646111822947087021546
y[1] (numeric) = 3434.7713723646111822076695782019
absolute error = 8.70391239527e-17
relative error = 2.5340587339523376722173884093392e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.265
y[1] (analytic) = 3441.6477891612859637205255350186
y[1] (numeric) = 3441.647789161285963633311902874
absolute error = 8.72136321446e-17
relative error = 2.5340661650288616144159845498924e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.266
y[1] (analytic) = 3448.5379725537062546209275041575
y[1] (numeric) = 3448.5379725537062545335390144552
absolute error = 8.73884897023e-17
relative error = 2.5340735812628214865963849508748e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.267
y[1] (analytic) = 3455.4419501026148115894930264796
y[1] (numeric) = 3455.4419501026148115019293291547
absolute error = 8.75636973249e-17
relative error = 2.5340809826742902618897592426335e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.268
y[1] (analytic) = 3462.359749423931035565075894864
y[1] (numeric) = 3462.3597494239310354773366391505
absolute error = 8.77392557135e-17
relative error = 2.5340883693006798795791304410463e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.269
y[1] (analytic) = 3469.2913981888614355462302643524
y[1] (numeric) = 3469.2913981888614354583150987822
absolute error = 8.79151655702e-17
relative error = 2.5340957411676628036626766053832e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.27
y[1] (analytic) = 3476.2369241240103134541415932972
y[1] (numeric) = 3476.2369241240103133660501656986
absolute error = 8.80914275986e-17
relative error = 2.5341030983035910818299162287695e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.271
y[1] (analytic) = 3483.1963550114906705868031387689
y[1] (numeric) = 3483.196355011490670498535096265
absolute error = 8.82680425039e-17
relative error = 2.5341104407422593813821478294983e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.272
y[1] (analytic) = 3490.1697186890353361080639708026
y[1] (numeric) = 3490.1697186890353360196189598101
absolute error = 8.84450109925e-17
relative error = 2.5341177685113086273234330467667e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.273
y[1] (analytic) = 3497.1570430501083180160626098491
y[1] (numeric) = 3497.1570430501083179274402760769
absolute error = 8.86223337722e-17
relative error = 2.5341250816379249613574777724619e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.274
y[1] (analytic) = 3504.1583560440163770364503096318
y[1] (numeric) = 3504.1583560440163769476502980794
absolute error = 8.88000115524e-17
relative error = 2.5341323801544705857165444821464e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.275
y[1] (analytic) = 3511.1736856760208238866997070678
y[1] (numeric) = 3511.1736856760208237977216620242
absolute error = 8.89780450436e-17
relative error = 2.5341396640841106145513548138009e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.276
y[1] (analytic) = 3518.2030600074495403586880455523
y[1] (numeric) = 3518.203060007449540269531610594
absolute error = 8.91564349583e-17
relative error = 2.5341469334664047987452709645725e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.277
y[1] (analytic) = 3525.2465071558092246676394512974
y[1] (numeric) = 3525.2465071558092245783042692877
absolute error = 8.93351820097e-17
relative error = 2.5341541883201858600492985796800e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.278
y[1] (analytic) = 3532.3040552948978615164078081593
y[1] (numeric) = 3532.3040552948978614268935212463
absolute error = 8.95142869130e-17
relative error = 2.5341614286804880430783751640410e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.279
y[1] (analytic) = 3539.3757326549174173249806380416
y[1] (numeric) = 3539.375732654917417235286887657
absolute error = 8.96937503846e-17
relative error = 2.5341686545757015462520441347979e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.28
y[1] (analytic) = 3546.4615675225867610759850551525
y[1] (numeric) = 3546.4615675225867609861114820103
absolute error = 8.98735731422e-17
relative error = 2.5341758660303771007069976829067e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.281
y[1] (analytic) = 3553.5615882412548112278793267014
y[1] (numeric) = 3553.5615882412548111378255707961
absolute error = 9.00537559053e-17
relative error = 2.5341830630792534735998293594378e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.282
y[1] (analytic) = 3560.6758232110139091484178436611
y[1] (numeric) = 3560.6758232110139090581835442666
absolute error = 9.02342993945e-17
relative error = 2.5341902457474154084818656619133e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.283
y[1] (analytic) = 3567.8043008888134195218833866236
y[1] (numeric) = 3567.8043008888134194314681822915
absolute error = 9.04152043321e-17
relative error = 2.5341974140671256354109679837713e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.284
y[1] (analytic) = 3574.9470497885735581844884671424
y[1] (numeric) = 3574.9470497885735580938919957009
absolute error = 9.05964714415e-17
relative error = 2.5342045680608885814568159816378e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.285
y[1] (analytic) = 3582.10409848129944784325723794
y[1] (numeric) = 3582.1040984812994477524791364922
absolute error = 9.07781014478e-17
relative error = 2.5342117077582163845697519646345e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.286
y[1] (analytic) = 3589.2754755951954021346109995809
y[1] (numeric) = 3589.2754755951954020436509045031
absolute error = 9.09600950778e-17
relative error = 2.5342188331954778707753304652184e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.287
y[1] (analytic) = 3596.4612098157794384797936903302
y[1] (numeric) = 3596.461209815779438388651237271
absolute error = 9.11424530592e-17
relative error = 2.5342259443935046713586677504347e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.288
y[1] (analytic) = 3603.6613298859980201951889335868
y[1] (numeric) = 3603.6613298859980201038637574651
absolute error = 9.13251761217e-17
relative error = 2.5342330413881893790516161775440e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.289
y[1] (analytic) = 3610.8758646063410283164972371442
y[1] (numeric) = 3610.8758646063410282249889721483
absolute error = 9.15082649959e-17
relative error = 2.5342401241997906126555701735884e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.29
y[1] (analytic) = 3618.1048428349569635966607942885
y[1] (numeric) = 3618.1048428349569635049690738743
absolute error = 9.16917204142e-17
relative error = 2.5342471928578825463587882275821e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=438.7MB, alloc=4.5MB, time=21.50
TOP MAIN SOLVE Loop
x[1] = 3.291
y[1] (analytic) = 3625.3482934877683791383440320312
y[1] (numeric) = 3625.3482934877683790464684889206
absolute error = 9.18755431106e-17
relative error = 2.5342542473956642028554890489712e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.292
y[1] (analytic) = 3632.6062455385875441227005903118
y[1] (numeric) = 3632.6062455385875440306408564915
absolute error = 9.20597338203e-17
relative error = 2.5342612878388305575402796859311e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.293
y[1] (analytic) = 3639.8787280192323390970818014554
y[1] (numeric) = 3639.8787280192323390048375081754
absolute error = 9.22442932800e-17
relative error = 2.5342683142138080849868496473472e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.294
y[1] (analytic) = 3647.1657700196423832852679752468
y[1] (numeric) = 3647.1657700196423831928387530189
absolute error = 9.24292222279e-17
relative error = 2.5342753265476662972425169146373e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.295
y[1] (analytic) = 3654.4674006879953943847318853824
y[1] (numeric) = 3654.4674006879953942921173639785
absolute error = 9.26145214039e-17
relative error = 2.5342823248735028892079866857314e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.296
y[1] (analytic) = 3661.7836492308237813163738014997
y[1] (numeric) = 3661.7836492308237812235736099506
absolute error = 9.28001915491e-17
relative error = 2.5342893092166477579617791541199e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.297
y[1] (analytic) = 3669.1145449131314703930992211827
y[1] (numeric) = 3669.1145449131314703001129877765
absolute error = 9.29862334062e-17
relative error = 2.5342962796055609627738057348936e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.298
y[1] (analytic) = 3676.4601170585109653745441320218
y[1] (numeric) = 3676.4601170585109652813714843025
absolute error = 9.31726477193e-17
relative error = 2.5343032360662802944547570975808e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.299
y[1] (analytic) = 3683.820395049260641876188178709
y[1] (numeric) = 3683.820395049260641782828743475
absolute error = 9.33594352340e-17
relative error = 2.5343101786250787761023760500464e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.3
y[1] (analytic) = 3691.1954083265022766020335280146
y[1] (numeric) = 3691.1954083265022765084869313168
absolute error = 9.35465966978e-17
relative error = 2.5343171073192177353371900601491e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.301
y[1] (analytic) = 3698.5851863902988118709665190644
y[1] (numeric) = 3698.5851863902988117772323862055
absolute error = 9.37341328589e-17
relative error = 2.5343240221643110061527241503148e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.302
y[1] (analytic) = 3705.9897587997723559078603613873
y[1] (numeric) = 3705.9897587997723558139383169196
absolute error = 9.39220444677e-17
relative error = 2.5343309231949345789061526219012e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.303
y[1] (analytic) = 3713.409155173222419371420202473
y[1] (numeric) = 3713.4091551732224192773098701972
absolute error = 9.41103322758e-17
relative error = 2.5343378104374269721354099448983e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.304
y[1] (analytic) = 3720.8434051882443885917168338728
y[1] (numeric) = 3720.8434051882443884974178368364
absolute error = 9.42989970364e-17
relative error = 2.5343446839206402545432280083831e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.305
y[1] (analytic) = 3728.2925385818482359913021439402
y[1] (numeric) = 3728.2925385818482358968141044362
absolute error = 9.44880395040e-17
relative error = 2.5343515436677871614309103592744e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.306
y[1] (analytic) = 3735.7565851505774681647481599556
y[1] (numeric) = 3735.7565851505774680700706995206
absolute error = 9.46774604350e-17
relative error = 2.5343583897124771394212792541902e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.307
y[1] (analytic) = 3743.235574750628312092402156386
y[1] (numeric) = 3743.2355747506283119975348957992
absolute error = 9.48672605868e-17
relative error = 2.5343652220744880405244142650071e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.308
y[1] (analytic) = 3750.729537297969139965102843219
y[1] (numeric) = 3750.7295372979691398700454025001
absolute error = 9.50574407189e-17
relative error = 2.5343720407891504395227349875037e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.309
y[1] (analytic) = 3758.2385027684601330975570924646
y[1] (numeric) = 3758.2385027684601330023090908727
absolute error = 9.52480015919e-17
relative error = 2.5343788458805031141621345252708e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.31
y[1] (analytic) = 3765.7625011979731854090330158873
y[1] (numeric) = 3765.7625011979731853135940719194
absolute error = 9.54389439679e-17
relative error = 2.5343856373719463096630833859247e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.311
y[1] (analytic) = 3773.3015626825120469509834766104
y[1] (numeric) = 3773.3015626825120468553532079995
absolute error = 9.56302686109e-17
relative error = 2.5343924152967678030656050700643e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.312
y[1] (analytic) = 3780.8557173783327079621743052774
y[1] (numeric) = 3780.8557173783327078663523289913
absolute error = 9.58219762861e-17
relative error = 2.5343991796794487133545278861021e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.313
y[1] (analytic) = 3788.4249955020640239328536017971
y[1] (numeric) = 3788.4249955020640238368395340367
absolute error = 9.60140677604e-17
relative error = 2.5344059305488680950457478927537e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.314
y[1] (analytic) = 3796.0094273308285821604625401815
y[1] (numeric) = 3796.0094273308285820642559963795
absolute error = 9.62065438020e-17
relative error = 2.5344126679276404890919633440162e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.315
y[1] (analytic) = 3803.6090432023638102803540604766
y[1] (numeric) = 3803.6090432023638101839546552958
absolute error = 9.63994051808e-17
relative error = 2.5344193918426135246251466647766e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.316
y[1] (analytic) = 3811.2238735151433272559537321375
y[1] (numeric) = 3811.223873515143327159361079469
absolute error = 9.65926526685e-17
relative error = 2.5344261023273683993747226351597e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.317
y[1] (analytic) = 3818.8539487284985373137669112933
y[1] (numeric) = 3818.8539487284985372169806242554
absolute error = 9.67862870379e-17
relative error = 2.5344327994037412746622115273765e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.318
y[1] (analytic) = 3826.499299362740467309608094056
y[1] (numeric) = 3826.4992993627404672126277849925
absolute error = 9.69803090635e-17
relative error = 2.5344394830975392366152572586417e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.319
y[1] (analytic) = 3834.1599559992818480134020932402
y[1] (numeric) = 3834.1599559992818479162273737188
memory used=442.5MB, alloc=4.5MB, time=21.71
absolute error = 9.71747195214e-17
relative error = 2.5344461534358114603239613384589e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.32
y[1] (analytic) = 3841.8359492807594398008823404734
y[1] (numeric) = 3841.835949280759439703512821284
absolute error = 9.73695191894e-17
relative error = 2.5344528104493585310913197096144e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.321
y[1] (analytic) = 3849.5273099111566032414892435908
y[1] (numeric) = 3849.5273099111566031439245347442
absolute error = 9.75647088466e-17
relative error = 2.5344594541622228384332446701203e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.322
y[1] (analytic) = 3857.2340686559261150727511143366
y[1] (numeric) = 3857.2340686559261149749908250628
absolute error = 9.77602892738e-17
relative error = 2.5344660846020448213419995613754e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.323
y[1] (analytic) = 3864.9562563421132300524117276486
y[1] (numeric) = 3864.9562563421132299544554663955
absolute error = 9.79562612531e-17
relative error = 2.5344727017895964920103608724369e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.324
y[1] (analytic) = 3872.6939038584789891805520851208
y[1] (numeric) = 3872.693903858478989082399459552
absolute error = 9.81526255688e-17
relative error = 2.5344793057620084175008973374531e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.325
y[1] (analytic) = 3880.4470421556237747849394355386
y[1] (numeric) = 3880.4470421556237746865900525327
absolute error = 9.83493830059e-17
relative error = 2.5344858965338699596257001847397e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.326
y[1] (analytic) = 3888.2157022461111129638240586282
y[1] (numeric) = 3888.2157022461111128652775242765
absolute error = 9.85465343517e-17
relative error = 2.5344924741385227903159504526509e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.327
y[1] (analytic) = 3895.9999152045917238813937482716
y[1] (numeric) = 3895.9999152045917237826496678767
absolute error = 9.87440803949e-17
relative error = 2.5344990386046921852964493461235e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.328
y[1] (analytic) = 3903.7997121679278204120873424089
y[1] (numeric) = 3903.7997121679278203131453204834
absolute error = 9.89420219255e-17
relative error = 2.5345055899538900320654544055438e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.329
y[1] (analytic) = 3911.6151243353176556309620426136
y[1] (numeric) = 3911.6151243353176555318216828783
absolute error = 9.91403597353e-17
relative error = 2.5345121282131880148133187106862e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.33
y[1] (analytic) = 3919.4461829684203196483046508716
y[1] (numeric) = 3919.4461829684203195489655562539
absolute error = 9.93390946177e-17
relative error = 2.5345186534099782762395685241264e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.331
y[1] (analytic) = 3927.2929193914807862876742284062
y[1] (numeric) = 3927.2929193914807861881360010386
absolute error = 9.95382273676e-17
relative error = 2.5345251655693426760961743328210e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.332
y[1] (analytic) = 3935.1553649914552101075630554482
y[1] (numeric) = 3935.1553649914552100078252966668
absolute error = 9.97377587814e-17
relative error = 2.5345316647139945999440125088761e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.333
y[1] (analytic) = 3943.033551218136474267864145658
y[1] (numeric) = 3943.0335512181364741679264560006
absolute error = 9.99376896574e-17
relative error = 2.5345381508743659137763380157861e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.334
y[1] (analytic) = 3950.9275095842799897433369484658
y[1] (numeric) = 3950.9275095842799896431989276705
absolute error = 1.001380207953e-16
relative error = 2.5345446240757935133861160306653e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.335
y[1] (analytic) = 3958.8372716657297463872682609266
y[1] (numeric) = 3958.8372716657297462869295079301
absolute error = 1.003387529965e-16
relative error = 2.5345510843460668099314550420835e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.336
y[1] (analytic) = 3966.7628691015446163495327718004
y[1] (numeric) = 3966.7628691015446162489928847367
absolute error = 1.005398870637e-16
relative error = 2.5345575317052382462005880084173e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.337
y[1] (analytic) = 3974.7043335941249103542670785056
y[1] (numeric) = 3974.704333594124910253525654704
absolute error = 1.007414238016e-16
relative error = 2.5345639661832306686959380593169e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.338
y[1] (analytic) = 3982.6616969093391873433824563822
y[1] (numeric) = 3982.6616969093391872424390923658
absolute error = 1.009433640164e-16
relative error = 2.5345703878071033184955930913936e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.339
y[1] (analytic) = 3990.6349908766513179931551233958
y[1] (numeric) = 3990.63499087665131789200941488
absolute error = 1.011457085158e-16
relative error = 2.5345767966009990582237803515345e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.34
y[1] (analytic) = 3998.6242473892478026121482360621
y[1] (numeric) = 3998.6242473892478025107997779531
absolute error = 1.013484581090e-16
relative error = 2.5345831925860922389760570742908e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.341
y[1] (analytic) = 4006.629498404165343929737378037
y[1] (numeric) = 4006.6294984041653438281857644297
absolute error = 1.015516136073e-16
relative error = 2.5345895757955123836553652740564e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.342
y[1] (analytic) = 4014.6507759424186752855308655696
y[1] (numeric) = 4014.6507759424186751837756897465
absolute error = 1.017551758231e-16
relative error = 2.5345959462492349526844509661555e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.343
y[1] (analytic) = 4022.68811208912864473099779794
y[1] (numeric) = 4022.6881120891286446290386523692
absolute error = 1.019591455708e-16
relative error = 2.5346023039765043389758349870169e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.344
y[1] (analytic) = 4030.7415389936505555556404301699
y[1] (numeric) = 4030.7415389936505554534769065037
absolute error = 1.021635236662e-16
relative error = 2.5346086490007746827165202873511e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.345
y[1] (analytic) = 4038.8110888697027637510731438185
y[1] (numeric) = 4038.8110888697027636487048328917
absolute error = 1.023683109268e-16
relative error = 2.5346149813471142836670205761820e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.346
y[1] (analytic) = 4046.8967939954955329273980436414
y[1] (numeric) = 4046.8967939954955328248245354696
absolute error = 1.025735081718e-16
relative error = 2.5346213010421083444590704103169e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.347
y[1] (analytic) = 4054.998686713860147197297017422
y[1] (numeric) = 4054.9986867138601470945179012001
absolute error = 1.027791162219e-16
relative error = 2.5346276081088304359034007947574e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=446.3MB, alloc=4.5MB, time=21.90
x[1] = 3.348
y[1] (analytic) = 4063.1167994323782825442919674948
y[1] (numeric) = 4063.1167994323782824413068315952
absolute error = 1.029851358996e-16
relative error = 2.5346339025741798141024692410542e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.349
y[1] (analytic) = 4071.2511646235116371926588594952
y[1] (numeric) = 4071.2511646235116370894672914663
absolute error = 1.031915680289e-16
relative error = 2.5346401844613933400872768625022e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.35
y[1] (analytic) = 4079.4018148247318214975172408345
y[1] (numeric) = 4079.4018148247318213941188273987
absolute error = 1.033984134358e-16
relative error = 2.5346464538022574927705911673377e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.351
y[1] (analytic) = 4087.5687826386505078746549624422
y[1] (numeric) = 4087.5687826386505077710492894948
absolute error = 1.036056729474e-16
relative error = 2.5346527106149238515932838507050e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.352
y[1] (analytic) = 4095.7521007331498412906879966105
y[1] (numeric) = 4095.7521007331498411868746492177
absolute error = 1.038133473928e-16
relative error = 2.5346589549259378245743993107979e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.353
y[1] (analytic) = 4103.951801841513110835197485459
y[1] (numeric) = 4103.9518018415131107311760478563
absolute error = 1.040214376027e-16
relative error = 2.5346651867603271624689434978163e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.354
y[1] (analytic) = 4112.1679187625556828975304827975
y[1] (numeric) = 4112.1679187625556827933005383879
absolute error = 1.042299444096e-16
relative error = 2.5346714061463994707827951370203e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.355
y[1] (analytic) = 4120.4004843607561964719972711664
y[1] (numeric) = 4120.4004843607561963675584025191
absolute error = 1.044388686473e-16
relative error = 2.5346776131034934964865573040801e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.356
y[1] (analytic) = 4128.649531566388021116246649773
y[1] (numeric) = 4128.6495315663880210115984386214
absolute error = 1.046482111516e-16
relative error = 2.5346838076589420866550803020223e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.357
y[1] (analytic) = 4136.9150933756509780886512021002
y[1] (numeric) = 4136.9150933756509779837932293403
absolute error = 1.048579727599e-16
relative error = 2.5346899898382423064552248235443e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.358
y[1] (analytic) = 4145.1972028508033251915872683576
y[1] (numeric) = 4145.1972028508033250865191140463
absolute error = 1.050681543113e-16
relative error = 2.5346961596674049089075462268038e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.359
y[1] (analytic) = 4153.4958931202940058485491718752
y[1] (numeric) = 4153.4958931202940057432704152288
absolute error = 1.052787566464e-16
relative error = 2.5347023171680527540211667001122e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.36
y[1] (analytic) = 4161.8111973788951629440941842282
y[1] (numeric) = 4161.8111973788951628386044036205
absolute error = 1.054897806077e-16
relative error = 2.5347084623669945939010080379329e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.361
y[1] (analytic) = 4170.1431488878349179566737655575
y[1] (numeric) = 4170.1431488878349178509725385184
absolute error = 1.057012270391e-16
relative error = 2.5347145952841021934272352180643e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.362
y[1] (analytic) = 4178.4917809749304159154677884512
y[1] (numeric) = 4178.4917809749304158095546916646
absolute error = 1.059130967866e-16
relative error = 2.5347207159490508027684188991822e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.363
y[1] (analytic) = 4186.8571270347211367134017501154
y[1] (numeric) = 4186.8571270347211366072763594176
absolute error = 1.061253906978e-16
relative error = 2.5347268243891980800803800592518e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.364
y[1] (analytic) = 4195.2392205286024733095924026524
y[1] (numeric) = 4195.2392205286024732032542930309
absolute error = 1.063381096215e-16
relative error = 2.5347329206199912263837545572713e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.365
y[1] (analytic) = 4203.6380949849595773555347893349
y[1] (numeric) = 4203.638094984959577248983534926
absolute error = 1.065512544089e-16
relative error = 2.5347390046735513623999787477797e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.366
y[1] (analytic) = 4212.0537839993014727804133700809
y[1] (numeric) = 4212.0537839993014726736485441686
absolute error = 1.067648259123e-16
relative error = 2.5347450765675623168706184874941e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.367
y[1] (analytic) = 4220.486321234395437871991756197
y[1] (numeric) = 4220.4863212343954377650129312108
absolute error = 1.069788249862e-16
relative error = 2.5347511363313967005517214656225e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.368
y[1] (analytic) = 4228.9357404204016563906095571214
y[1] (numeric) = 4228.9357404204016562834163046348
absolute error = 1.071932524866e-16
relative error = 2.5347571839893655800272041122854e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.369
y[1] (analytic) = 4237.4020753550081382548909746903
y[1] (numeric) = 4237.4020753550081381474828654192
absolute error = 1.074081092711e-16
relative error = 2.5347632195630475846467670962581e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.37
y[1] (analytic) = 4245.8853599035659103388480676566
y[1] (numeric) = 4245.8853599035659102312246714574
absolute error = 1.076233961992e-16
relative error = 2.5347692430783006737745135596994e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.371
y[1] (analytic) = 4254.3856279992244779211420551278
y[1] (numeric) = 4254.3856279992244778133029409958
absolute error = 1.078391141320e-16
relative error = 2.5347752545580867532431530120434e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.372
y[1] (analytic) = 4262.9029136430675573283486365838
y[1] (numeric) = 4262.9029136430675572202933726514
absolute error = 1.080552639324e-16
relative error = 2.5347812540271109877399868798157e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.373
y[1] (analytic) = 4271.4372509042490803151580825128
y[1] (numeric) = 4271.4372509042490802068862360478
absolute error = 1.082718464650e-16
relative error = 2.5347872415093821097501888221062e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.374
y[1] (analytic) = 4279.9886739201294707255277978046
y[1] (numeric) = 4279.9886739201294706170389352086
absolute error = 1.084888625960e-16
relative error = 2.5347932170258017079615273919884e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.375
y[1] (analytic) = 4288.5572168964121939798941842146
y[1] (numeric) = 4288.5572168964121938711878710209
absolute error = 1.087063131937e-16
relative error = 2.5347991806057730127797695610659e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.376
y[1] (analytic) = 4297.1429141072805799346419328106
y[1] (numeric) = 4297.1429141072805798257177336828
absolute error = 1.089241991278e-16
relative error = 2.5348051322707450067807281037494e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=450.1MB, alloc=4.5MB, time=22.09
TOP MAIN SOLVE Loop
x[1] = 3.377
y[1] (analytic) = 4305.7457998955349196611223667112
y[1] (numeric) = 4305.7457998955349195519798454414
absolute error = 1.091425212698e-16
relative error = 2.5348110720435003948177574275641e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.378
y[1] (analytic) = 4314.3659086727298366926081329851
y[1] (numeric) = 4314.3659086727298365832468524921
absolute error = 1.093612804930e-16
relative error = 2.5348169999480611910999028589117e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.379
y[1] (analytic) = 4323.0032749193119332886694146901
y[1] (numeric) = 4323.0032749193119331790889370176
absolute error = 1.095804776725e-16
relative error = 2.5348229160095951952635038756131e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.38
y[1] (analytic) = 4331.657933184757712267556904087
y[1] (numeric) = 4331.6579331847577121577567904019
absolute error = 1.098001136851e-16
relative error = 2.5348288202520147673397477244099e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.381
y[1] (analytic) = 4340.3299180877117749582790504548
y[1] (numeric) = 4340.3299180877117748482588610455
absolute error = 1.100201894093e-16
relative error = 2.5348347126979081289560641068245e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.382
y[1] (analytic) = 4349.0192643161252958251655750806
y[1] (numeric) = 4349.0192643161252957149248693554
absolute error = 1.102407057252e-16
relative error = 2.5348405933661720307230353596806e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.383
y[1] (analytic) = 4357.7260066273947743188159363118
y[1] (numeric) = 4357.7260066273947742083542727966
absolute error = 1.104616635152e-16
relative error = 2.5348464622880309138600651785937e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.384
y[1] (analytic) = 4366.4501798485010645084403334646
y[1] (numeric) = 4366.4501798485010643977572698017
absolute error = 1.106830636629e-16
relative error = 2.5348523194816406740795058092376e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.385
y[1] (analytic) = 4375.1918188761486830517119643294
y[1] (numeric) = 4375.1918188761486829408070572752
absolute error = 1.109049070542e-16
relative error = 2.5348581649772794846253932539273e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.386
y[1] (analytic) = 4383.950958676905396059362601422
y[1] (numeric) = 4383.9509586769053959482354068459
absolute error = 1.111271945761e-16
relative error = 2.5348639987897731589867363105312e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.387
y[1] (analytic) = 4392.7276342873420854128691314826
y[1] (numeric) = 4392.7276342873420853015192043647
absolute error = 1.113499271179e-16
relative error = 2.5348698209458859473187321584641e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.388
y[1] (analytic) = 4401.5218808141728950946965154543
y[1] (numeric) = 4401.5218808141728949831234098837
absolute error = 1.115731055706e-16
relative error = 2.5348756314704887865786719997302e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.389
y[1] (analytic) = 4410.3337334343956580916826767759
y[1] (numeric) = 4410.3337334343956579798859459491
absolute error = 1.117967308268e-16
relative error = 2.5348814303842294995012017424791e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.39
y[1] (analytic) = 4419.163227395432604433273118765
y[1] (numeric) = 4419.1632273954326043212523149838
absolute error = 1.120208037812e-16
relative error = 2.5348872177148081037728140951577e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.391
y[1] (analytic) = 4428.010398015271350927437611639
y[1] (numeric) = 4428.0103980152713508151922863092
absolute error = 1.122453253298e-16
relative error = 2.5348929934787584840565415171801e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.392
y[1] (analytic) = 4436.8752806826061731582280808296
y[1] (numeric) = 4436.8752806826061730457577844586
absolute error = 1.124702963710e-16
relative error = 2.5348987577062708104020846081751e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.393
y[1] (analytic) = 4445.7579108569795603100658751815
y[1] (numeric) = 4445.757910856979560197370157377
absolute error = 1.126957178045e-16
relative error = 2.5349045104162315143326135620519e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.394
y[1] (analytic) = 4454.6583240689240533849779009282
y[1] (numeric) = 4454.6583240689240532720563103962
absolute error = 1.129215905320e-16
relative error = 2.5349102516319686453443899256232e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.395
y[1] (analytic) = 4463.5765559201043673801346795036
y[1] (numeric) = 4463.5765559201043672669867640467
absolute error = 1.131479154569e-16
relative error = 2.5349159813744054255602902797676e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.396
y[1] (analytic) = 4472.5126420834597979941792288405
y[1] (numeric) = 4472.5126420834597978808045353558
absolute error = 1.133746934847e-16
relative error = 2.5349216996709466085874512165771e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.397
y[1] (analytic) = 4481.4666183033469134319737833447
y[1] (numeric) = 4481.4666183033469133183718578223
absolute error = 1.136019255224e-16
relative error = 2.5349274065419441657104814899695e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.398
y[1] (analytic) = 4490.43852039568253187853176179
y[1] (numeric) = 4490.4385203956825317647021493111
absolute error = 1.138296124789e-16
relative error = 2.5349331020095942104233827328758e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.399
y[1] (analytic) = 4499.4283842480869852140450694967
y[1] (numeric) = 4499.4283842480869850999873142316
absolute error = 1.140577552651e-16
relative error = 2.5349387861000600112794872422714e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.4
y[1] (analytic) = 4508.4362458200276695430617859214
y[1] (numeric) = 4508.436245820027669428775431128
absolute error = 1.142863547934e-16
relative error = 2.5349444588322608969271746172088e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.401
y[1] (analytic) = 4517.4621411429628831120165457706
y[1] (numeric) = 4517.4621411429628829975011337924
absolute error = 1.145154119782e-16
relative error = 2.5349501202289314818780058436294e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.402
y[1] (analytic) = 4526.5061063204859521904654755425
y[1] (numeric) = 4526.5061063204859520757205478066
absolute error = 1.147449277359e-16
relative error = 2.5349557703165025369766729277122e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.403
y[1] (analytic) = 4535.5681775284696454925294026044
y[1] (numeric) = 4535.56817752846964537755449962
absolute error = 1.149749029844e-16
relative error = 2.5349614091139589197246242467170e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.404
y[1] (analytic) = 4544.6483910152108777162032151332
y[1] (numeric) = 4544.6483910152108776009978764894
absolute error = 1.152053386438e-16
relative error = 2.5349670366482353742095991464242e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.405
y[1] (analytic) = 4553.7467831015757027793457230908
y[1] (numeric) = 4553.7467831015757026639094874553
absolute error = 1.154362356355e-16
relative error = 2.5349726529342921462244548392487e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=453.9MB, alloc=4.5MB, time=22.27
TOP MAIN SOLVE Loop
x[1] = 3.406
y[1] (analytic) = 4562.863390181144597332323157523
y[1] (numeric) = 4562.8633901811445972166555626396
absolute error = 1.156675948834e-16
relative error = 2.5349782580014525449573305928797e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.407
y[1] (analytic) = 4571.998248720358035128440552462
y[1] (numeric) = 4571.9982487203580350125411351492
absolute error = 1.158994173128e-16
relative error = 2.5349838518691190918814270655370e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.408
y[1] (analytic) = 4581.1513952586623528344586852619
y[1] (numeric) = 4581.1513952586623527183269814109
absolute error = 1.161317038510e-16
relative error = 2.5349894345598883375139461521868e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.409
y[1] (analytic) = 4590.3228664086559078646600119196
y[1] (numeric) = 4590.3228664086559077482955564925
absolute error = 1.163644554271e-16
relative error = 2.5349950060950809193803308750670e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.41
y[1] (analytic) = 4599.5126988562355288230951285238
y[1] (numeric) = 4599.5126988562355287064974555515
absolute error = 1.165976729723e-16
relative error = 2.5350005665011955684734589861338e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.411
y[1] (analytic) = 4608.7209293607432591398117230833
y[1] (numeric) = 4608.7209293607432590229803656641
absolute error = 1.168313574192e-16
relative error = 2.5350061157945876639667772555780e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.412
y[1] (analytic) = 4617.9475947551133944880407583118
y[1] (numeric) = 4617.947594755113394370975248609
absolute error = 1.170655097028e-16
relative error = 2.5350116540031438790898810985600e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.413
y[1] (analytic) = 4627.1927319460198145704897501596
y[1] (numeric) = 4627.1927319460198144531896194001
absolute error = 1.173001307595e-16
relative error = 2.5350171811444746835120964911575e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.414
y[1] (analytic) = 4636.456377914023609864070483712
y[1] (numeric) = 4636.4563779140236097465352621842
absolute error = 1.175352215278e-16
relative error = 2.5350226972410333546378577438471e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.415
y[1] (analytic) = 4645.7385697137210039135683421978
y[1] (numeric) = 4645.7385697137210037957975592494
absolute error = 1.177707829484e-16
relative error = 2.5350282023221391316497547879202e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.416
y[1] (analytic) = 4655.0393444738915717659426210158
y[1] (numeric) = 4655.0393444738915716479358050527
absolute error = 1.180068159631e-16
relative error = 2.5350336964001971488242018980130e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.417
y[1] (analytic) = 4664.3587393976467551381317616068
y[1] (numeric) = 4664.3587393976467550198884400907
absolute error = 1.182433215161e-16
relative error = 2.5350391794986568883899749148062e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.418
y[1] (analytic) = 4673.6967917625786749124243744104
y[1] (numeric) = 4673.6967917625786747939440738566
absolute error = 1.184803005538e-16
relative error = 2.5350446516475418074896654378842e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.419
y[1] (analytic) = 4683.0535389209092415546462308064
y[1] (numeric) = 4683.0535389209092414359284767827
absolute error = 1.187177540237e-16
relative error = 2.5350501128598135030040412101614e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.42
y[1] (analytic) = 4692.4290182996395640516050956072
y[1] (numeric) = 4692.4290182996395639326494127314
absolute error = 1.189556828758e-16
relative error = 2.5350555631612959768393779520179e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.421
y[1] (analytic) = 4701.8232674006996579654293490868
y[1] (numeric) = 4701.823267400699657846235261025
absolute error = 1.191940880618e-16
relative error = 2.5350610025734516667759982621667e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.422
y[1] (analytic) = 4711.2363238010984532036328155157
y[1] (numeric) = 4711.2363238010984530841998449805
absolute error = 1.194329705352e-16
relative error = 2.5350664311154662922785727074627e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.423
y[1] (analytic) = 4720.6682251530741021049370784701
y[1] (numeric) = 4720.6682251530741019852647472184
absolute error = 1.196723312517e-16
relative error = 2.5350718488126638370082656430268e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.424
y[1] (analytic) = 4730.1190091842445884420838266144
y[1] (numeric) = 4730.1190091842445883221716554458
absolute error = 1.199121711686e-16
relative error = 2.5350772556836795085291844835000e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.425
y[1] (analytic) = 4739.5887136977586379440734420209
y[1] (numeric) = 4739.5887136977586378239209507754
absolute error = 1.201524912455e-16
relative error = 2.5350826517552144786356342398722e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.426
y[1] (analytic) = 4749.0773765724469309414721211922
y[1] (numeric) = 4749.0773765724469308210788287487
absolute error = 1.203932924435e-16
relative error = 2.5350880370450288981619515781585e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.427
y[1] (analytic) = 4758.585035762973617739638311634
y[1] (numeric) = 4758.5850357629736176190037359083
absolute error = 1.206345757257e-16
relative error = 2.5350934115724571912508947039219e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.428
y[1] (analytic) = 4768.1117292999881373259301589037
y[1] (numeric) = 4768.1117292999881372050538168463
absolute error = 1.208763420574e-16
relative error = 2.5350987753625058647281868715829e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.429
y[1] (analytic) = 4777.6574952902773400181689953891
y[1] (numeric) = 4777.6574952902773398970504029834
absolute error = 1.211185924057e-16
relative error = 2.5351041284373434803802588788606e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.43
y[1] (analytic) = 4787.2223719169179146628496675018
y[1] (numeric) = 4787.2223719169179145414883397624
absolute error = 1.213613277394e-16
relative error = 2.5351094708141588249983220047724e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.431
y[1] (analytic) = 4796.8063974394291209928066973638
y[1] (numeric) = 4796.8063974394291208712021483341
absolute error = 1.216045490297e-16
relative error = 2.5351148025197225258605544661696e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.432
y[1] (analytic) = 4806.4096101939258277552659132926
y[1] (numeric) = 4806.4096101939258276334176560434
absolute error = 1.218482572492e-16
relative error = 2.5351201235694047997664874773071e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.433
y[1] (analytic) = 4816.0320485932718572224342653459
y[1] (numeric) = 4816.0320485932718571003418119729
absolute error = 1.220924533730e-16
relative error = 2.5351254339900483622124132354115e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=457.7MB, alloc=4.5MB, time=22.47
x[1] = 3.434
y[1] (analytic) = 4825.6737511272336366980060727407
y[1] (numeric) = 4825.6737511272336365756689343629
absolute error = 1.223371383778e-16
relative error = 2.5351307338011226646709126887072e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.435
y[1] (analytic) = 4835.334756362634157634191934043
y[1] (numeric) = 4835.3347563626341575116096208008
absolute error = 1.225823132422e-16
relative error = 2.5351360230209205155192595476194e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.436
y[1] (analytic) = 4845.0151029435072429751069735222
y[1] (numeric) = 4845.0151029435072428522789945751
absolute error = 1.228279789471e-16
relative error = 2.5351413016747446703633696357638e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.437
y[1] (analytic) = 4854.7148295912521233435880029116
y[1] (numeric) = 4854.7148295912521232205138664366
absolute error = 1.230741364750e-16
relative error = 2.5351465697803378035719761291425e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.438
y[1] (analytic) = 4864.4339751047883226897445519475
y[1] (numeric) = 4864.4339751047883225664237651369
absolute error = 1.233207868106e-16
relative error = 2.5351518273602111522640375898014e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.439
y[1] (analytic) = 4874.1725783607108540207865684034
y[1] (numeric) = 4874.1725783607108538972186374628
absolute error = 1.235679309406e-16
relative error = 2.5351570744374126111631581444459e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.44
y[1] (analytic) = 4883.9306783134457258329119138581
y[1] (numeric) = 4883.9306783134457257090963440047
absolute error = 1.238155698534e-16
relative error = 2.5351623110292975803198284935353e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.441
y[1] (analytic) = 4893.7083139954057598672795900911
y[1] (numeric) = 4893.7083139954057597432158855514
absolute error = 1.240637045397e-16
relative error = 2.5351675371597652537250076393987e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.442
y[1] (analytic) = 4903.5055245171467208133399277526
y[1] (numeric) = 4903.5055245171467206890275917607
absolute error = 1.243123359919e-16
relative error = 2.5351727528468761084992937258089e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.443
y[1] (analytic) = 4913.3223490675237585840407588048
y[1] (numeric) = 4913.3223490675237584594792936001
absolute error = 1.245614652047e-16
relative error = 2.5351779581150406737924897748287e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.444
y[1] (analytic) = 4923.1588269138481637886788821459
y[1] (numeric) = 4923.1588269138481636638677889715
absolute error = 1.248110931744e-16
relative error = 2.5351831529806565559663773513750e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.445
y[1] (analytic) = 4933.014997402044437030418922833
y[1] (numeric) = 4933.0149974020444369053577019334
absolute error = 1.250612208996e-16
relative error = 2.5351883374662973140150943659310e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.446
y[1] (analytic) = 4942.8908999568076726567569844026
y[1] (numeric) = 4942.8908999568076725314451350217
absolute error = 1.253118493809e-16
relative error = 2.5351935115945004790680804672699e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.447
y[1] (analytic) = 4952.7865740817612575924643059896
y[1] (numeric) = 4952.7865740817612574669013263688
absolute error = 1.255629796208e-16
relative error = 2.5351986753856676417435543892404e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.448
y[1] (analytic) = 4962.7020593596148858858064662843
y[1] (numeric) = 4962.7020593596148857599918536605
absolute error = 1.258146126238e-16
relative error = 2.5352038288600196146466354731912e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.449
y[1] (analytic) = 4972.6373954523228896000965298906
y[1] (numeric) = 4972.6373954523228894740297804943
absolute error = 1.260667493963e-16
relative error = 2.5352089720355061103402271218547e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.45
y[1] (analytic) = 4982.5926221012428866839059134053
y[1] (numeric) = 4982.5926221012428865575865224583
absolute error = 1.263193909470e-16
relative error = 2.5352141049357752622735986040012e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.451
y[1] (analytic) = 4992.5677791272947464545246635927
y[1] (numeric) = 4992.5677791272947463279521253063
absolute error = 1.265725382864e-16
relative error = 2.5352192275800207841742283120748e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.452
y[1] (analytic) = 5002.56290643111987333053329345
y[1] (numeric) = 5002.5629064311198732037071010228
absolute error = 1.268261924272e-16
relative error = 2.5352243399909411161492789820249e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.453
y[1] (analytic) = 5012.578043993240809450621318828
y[1] (numeric) = 5012.5780439932408093235409644444
absolute error = 1.270803543836e-16
relative error = 2.5352294421806584641549960258929e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.454
y[1] (analytic) = 5022.6132318742211568170631836885
y[1] (numeric) = 5022.6132318742211566897281585152
absolute error = 1.273350251733e-16
relative error = 2.5352345341905631460551053452720e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.455
y[1] (analytic) = 5032.6685102148258196035403611225
y[1] (numeric) = 5032.668510214825819475950155309
absolute error = 1.275902058135e-16
relative error = 2.5352396160114597080026980003623e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.456
y[1] (analytic) = 5042.7439192361815672682790750895
y[1] (numeric) = 5042.7439192361815671404331777635
absolute error = 1.278458973260e-16
relative error = 2.5352446876851257249523537234672e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.457
y[1] (analytic) = 5052.839499239937919114756309495
y[1] (numeric) = 5052.8394992399379189866542087616
absolute error = 1.281021007334e-16
relative error = 2.5352497492285173910555479088383e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.458
y[1] (analytic) = 5062.955290608428350943512561957
y[1] (numeric) = 5062.9552906084283508151537448966
absolute error = 1.283588170604e-16
relative error = 2.5352548006596122049525443236369e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.459
y[1] (analytic) = 5073.0913338048318244398981644475
y[1] (numeric) = 5073.0913338048318243112821171141
absolute error = 1.286160473334e-16
relative error = 2.5352598419894330327331476554457e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.46
y[1] (analytic) = 5083.2476693733346399438709371715
y[1] (numeric) = 5083.2476693733346398149971445892
absolute error = 1.288737925823e-16
relative error = 2.5352648732574469806696502014391e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.461
y[1] (analytic) = 5093.42433793929261324925647067
y[1] (numeric) = 5093.4243379392926131201244168328
absolute error = 1.291320538372e-16
relative error = 2.5352698944664110587208037856107e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.462
y[1] (analytic) = 5103.621380209393577081178449435
y[1] (numeric) = 5103.6213802093935769517876173037
absolute error = 1.293908321313e-16
relative error = 2.5352749056394794158151289520175e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=461.5MB, alloc=4.5MB, time=22.65
x[1] = 3.463
y[1] (analytic) = 5113.8388369718202079016651434175
y[1] (numeric) = 5113.8388369718202077720150149174
absolute error = 1.296501285001e-16
relative error = 2.5352799068042753144519619223002e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.464
y[1] (analytic) = 5124.0767490964131786947395069595
y[1] (numeric) = 5124.0767490964131785648295629787
absolute error = 1.299099439808e-16
relative error = 2.5352848979810558110921999473416e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.465
y[1] (analytic) = 5134.335157534834638383604243049
y[1] (numeric) = 5134.3351575348346382534339634368
absolute error = 1.301702796122e-16
relative error = 2.5352898791807562465035915732531e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.466
y[1] (analytic) = 5144.6141033207320185338397196105
y[1] (numeric) = 5144.6141033207320184034085831748
absolute error = 1.304311364357e-16
relative error = 2.5352948504244400398800757432454e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.467
y[1] (analytic) = 5154.9136275699021679978417690305
y[1] (numeric) = 5154.9136275699021678671492535351
absolute error = 1.306925154954e-16
relative error = 2.5352998117450566433636138435797e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.468
y[1] (analytic) = 5165.2337714804558161570381675125
y[1] (numeric) = 5165.2337714804558160260837496769
absolute error = 1.309544178356e-16
relative error = 2.5353047631388411134159491573320e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.469
y[1] (analytic) = 5175.574576332982365419736982423
y[1] (numeric) = 5175.5745763329823652885201379175
absolute error = 1.312168445055e-16
relative error = 2.5353097046564104185119356111261e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.47
y[1] (analytic) = 5185.9360834907150136337769987265
y[1] (numeric) = 5185.9360834907150135022972021733
absolute error = 1.314797965532e-16
relative error = 2.5353146362864424535732913734521e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.471
y[1] (analytic) = 5196.318334399696207074470095297
y[1] (numeric) = 5196.3183343996962069427268202653
absolute error = 1.317432750317e-16
relative error = 2.5353195580716788296975472112309e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.472
y[1] (analytic) = 5206.7213705889434246696477434575
y[1] (numeric) = 5206.7213705889434245376404624633
absolute error = 1.320072809942e-16
relative error = 2.5353244700180369597881550671231e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.473
y[1] (analytic) = 5217.1452336706152941249487489975
y[1] (numeric) = 5217.1452336706152939926769335
absolute error = 1.322718154975e-16
relative error = 2.5353293721600656362991564691421e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.474
y[1] (analytic) = 5227.589965340178040613812960293
y[1] (numeric) = 5227.5899653401780404812760806942
absolute error = 1.325368795988e-16
relative error = 2.5353342644993647579629064279846e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.475
y[1] (analytic) = 5238.055607376572268697975924448
y[1] (numeric) = 5238.0556073765722685651734500894
absolute error = 1.328024743586e-16
relative error = 2.5353391470601968325902024852762e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.476
y[1] (analytic) = 5248.542201642380078145592395803
y[1] (numeric) = 5248.542201642380078012523794963
absolute error = 1.330686008400e-16
relative error = 2.5353440198758431418366708341139e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.477
y[1] (analytic) = 5259.049790083992514315452192127
y[1] (numeric) = 5259.0497900839925141821169320204
absolute error = 1.333352601066e-16
relative error = 2.5353488829485011726147362242500e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.478
y[1] (analytic) = 5269.578414731777353777090158631
y[1] (numeric) = 5269.5784147317773536434877054056
absolute error = 1.336024532254e-16
relative error = 2.5353537363045463454333560727126e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.479
y[1] (analytic) = 5280.1281177002472258379329439465
y[1] (numeric) = 5280.1281177002472257040627626808
absolute error = 1.338701812657e-16
relative error = 2.5353585799733772232385477071317e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.48
y[1] (analytic) = 5290.6989411882280706499689208235
y[1] (numeric) = 5290.6989411882280705158304755263
absolute error = 1.341384452972e-16
relative error = 2.5353634139513918405351598360737e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.481
y[1] (analytic) = 5301.2909274790279345697739028435
y[1] (numeric) = 5301.2909274790279344353666564493
absolute error = 1.344072463942e-16
relative error = 2.5353682382814618522146662339104e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.482
y[1] (analytic) = 5311.904118940606103447074322297
y[1] (numeric) = 5311.9041189406061033123977366658
absolute error = 1.346765856312e-16
relative error = 2.5353730529695552444950200575902e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.483
y[1] (analytic) = 5322.5385580257425745183812490055
y[1] (numeric) = 5322.53855802574257438343478492
absolute error = 1.349464640855e-16
relative error = 2.5353778580338718227388573141358e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.484
y[1] (analytic) = 5333.194287272207867583583050575
y[1] (numeric) = 5333.1942872722078674483661677384
absolute error = 1.352168828366e-16
relative error = 2.5353826534933901414014167205437e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.485
y[1] (analytic) = 5343.871349302933176144741626872
y[1] (numeric) = 5343.8713493029331760092537839052
absolute error = 1.354878429668e-16
relative error = 2.5353874393790064705825001700308e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.486
y[1] (analytic) = 5354.569786826180859187697000772
y[1] (numeric) = 5354.5697868261808590519376552122
absolute error = 1.357593455598e-16
relative error = 2.5353922157071887457233031932912e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.487
y[1] (analytic) = 5365.2896426357152742884476189245
y[1] (numeric) = 5365.2896426357152741524162272235
absolute error = 1.360313917010e-16
relative error = 2.5353969824856306260621157538737e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.488
y[1] (analytic) = 5376.0309596109739527276390158325
y[1] (numeric) = 5376.0309596109739525913350333535
absolute error = 1.363039824790e-16
relative error = 2.5354017397411597713453217728749e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.489
y[1] (analytic) = 5386.7937807172391172978615274315
y[1] (numeric) = 5386.7937807172391171612844084473
absolute error = 1.365771189842e-16
relative error = 2.5354064874934765534905825343271e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.49
y[1] (analytic) = 5397.578149005809543489828512053
y[1] (numeric) = 5397.5781490058095433529777097441
absolute error = 1.368508023089e-16
relative error = 2.5354112257569965233345184332952e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.491
y[1] (analytic) = 5408.3841076141727647448800526325
y[1] (numeric) = 5408.3841076141727646077550190847
absolute error = 1.371250335478e-16
relative error = 2.5354159545500669768564028913504e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=465.4MB, alloc=4.5MB, time=22.84
TOP MAIN SOLVE Loop
x[1] = 3.492
y[1] (analytic) = 5419.2116997661776224626333797835
y[1] (numeric) = 5419.2116997661776223252335659854
absolute error = 1.373998137981e-16
relative error = 2.5354206738966920391812552411262e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.493
y[1] (analytic) = 5430.0609687722071614539802764055
y[1] (numeric) = 5430.0609687722071613163051322463
absolute error = 1.376751441592e-16
relative error = 2.5354253838208702708034340654352e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.494
y[1] (analytic) = 5440.931958029351871531013506343
y[1] (numeric) = 5440.9319580293518713930624806111
absolute error = 1.379510257319e-16
relative error = 2.5354300843318100508929073380302e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.495
y[1] (analytic) = 5451.824711021583275926848857793
y[1] (numeric) = 5451.8247110215832757886213981731
absolute error = 1.382274596199e-16
relative error = 2.5354347754515097452932216973412e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.496
y[1] (analytic) = 5462.739271319927867239696712195
y[1] (numeric) = 5462.7392713199278671011922652664
absolute error = 1.385044469286e-16
relative error = 2.5354394571925822124679987976465e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.497
y[1] (analytic) = 5473.67568258264139159692714681
y[1] (numeric) = 5473.6756825826413914581451580433
absolute error = 1.387819887667e-16
relative error = 2.5354441295874981480170348888162e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.498
y[1] (analytic) = 5484.6339885553834817362654596215
y[1] (numeric) = 5484.6339885553834815972053733779
absolute error = 1.390600862436e-16
relative error = 2.5354487926409016779369244342852e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.499
y[1] (analytic) = 5495.614233071392639702650674193
y[1] (numeric) = 5495.6142330713926395633119337212
absolute error = 1.393387404718e-16
relative error = 2.5354534463734778826533063826261e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.5
y[1] (analytic) = 5506.616460051661569860688045219
y[1] (numeric) = 5506.6164600516615697210700926522
absolute error = 1.396179525668e-16
relative error = 2.5354580908198960082853239442561e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.501
y[1] (analytic) = 5517.640713505112862924027848358
y[1] (numeric) = 5517.6407135051128627841301247134
absolute error = 1.398977236446e-16
relative error = 2.5354627259832793617494510157967e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.502
y[1] (analytic) = 5528.6870375287750317044068061135
y[1] (numeric) = 5528.6870375287750315642287512895
absolute error = 1.401780548240e-16
relative error = 2.5354673518770399104118668987056e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.503
y[1] (analytic) = 5539.7554763079588992844953806385
y[1] (numeric) = 5539.7554763079588991440364334113
absolute error = 1.404589472272e-16
relative error = 2.5354719685355258166638809897405e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.504
y[1] (analytic) = 5550.846074116434340320103860034
y[1] (numeric) = 5550.8460741164343401793634580564
absolute error = 1.407404019776e-16
relative error = 2.5354765759740977925520080323945e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.505
y[1] (analytic) = 5561.958875316607376178712682628
y[1] (numeric) = 5561.9588753166073760376902624278
absolute error = 1.410224202002e-16
relative error = 2.5354811741964287641531954221825e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.506
y[1] (analytic) = 5573.0939243596976246227077894815
y[1] (numeric) = 5573.0939243596976244814027864572
absolute error = 1.413050030243e-16
relative error = 2.5354857632429867144110245950472e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.507
y[1] (analytic) = 5584.251265785916104747119974654
y[1] (numeric) = 5584.251265785916104605531823075
absolute error = 1.415881515790e-16
relative error = 2.5354903431100028243301204420274e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.508
y[1] (analytic) = 5595.430944224643397883088221275
y[1] (numeric) = 5595.4309442246433977412163542772
absolute error = 1.418718669978e-16
relative error = 2.5354949138320413533534410552508e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.509
y[1] (analytic) = 5606.6330043946081651796908748055
y[1] (numeric) = 5606.6330043946081650375347243905
absolute error = 1.421561504150e-16
relative error = 2.5354994754173268167404916051884e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.51
y[1] (analytic) = 5617.8574911040660225782152188525
y[1] (numeric) = 5617.857491104066022435774215884
absolute error = 1.424410029685e-16
relative error = 2.5355040278977664406164687112473e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.511
y[1] (analytic) = 5629.104449250978773894365589102
y[1] (numeric) = 5629.1044492509787737516391633052
absolute error = 1.427264257968e-16
relative error = 2.5355085712753384312948748587578e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.512
y[1] (analytic) = 5640.373923823194002725342593193
y[1] (numeric) = 5640.3739238231940025823301731512
absolute error = 1.430124200418e-16
relative error = 2.5355131055719514249767694269324e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.513
y[1] (analytic) = 5651.6659598986250239001613042955
y[1] (numeric) = 5651.6659598986250237568623174472
absolute error = 1.432989868483e-16
relative error = 2.5355176308203179862429677937591e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.514
y[1] (analytic) = 5662.9806026454311951930144696015
y[1] (numeric) = 5662.9806026454311950494283422401
absolute error = 1.435861273614e-16
relative error = 2.5355221470178532160566120282918e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.515
y[1] (analytic) = 5674.317897322198590020927827607
y[1] (numeric) = 5674.3178973221985898770539848766
absolute error = 1.438738427304e-16
relative error = 2.5355266541956764265260326155049e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.516
y[1] (analytic) = 5685.677889278121031848398565689
y[1] (numeric) = 5685.6778892781210317042364315833
absolute error = 1.441621341057e-16
relative error = 2.5355311523636712054373041329485e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.517
y[1] (analytic) = 5697.060623953181491023154777923
y[1] (numeric) = 5697.0606239531814908787037752822
absolute error = 1.444510026408e-16
relative error = 2.5355356415457217711704693602641e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.518
y[1] (analytic) = 5708.466146878333844768623508033
y[1] (numeric) = 5708.4661468783338446238830585417
absolute error = 1.447404494913e-16
relative error = 2.5355401217619744987601615431087e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.519
y[1] (analytic) = 5719.894503675685001060147589697
y[1] (numeric) = 5719.8945036756850009151171138821
absolute error = 1.450304758149e-16
relative error = 2.5355445930287939349029787309045e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.52
y[1] (analytic) = 5731.345740058677387113447031906
y[1] (numeric) = 5731.3457400586773869681259491349
absolute error = 1.453210827711e-16
relative error = 2.5355490553534850275031372688852e-18 %
Correct digits = 19
h = 0.001
memory used=469.2MB, alloc=4.5MB, time=23.02
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.521
y[1] (analytic) = 5742.8199018322718032152791465425
y[1] (numeric) = 5742.8199018322718030696668750192
absolute error = 1.456122715233e-16
relative error = 2.5355535087708700041830616885924e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.522
y[1] (analytic) = 5754.317034893130642627712984617
y[1] (numeric) = 5754.3170348931306424818089413813
absolute error = 1.459040432357e-16
relative error = 2.5355579532890602106090237696823e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.523
y[1] (analytic) = 5765.837185229801478298897942563
y[1] (numeric) = 5765.8371852298014781527015434876
absolute error = 1.461963990754e-16
relative error = 2.5355623889260626104040268001634e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.524
y[1] (analytic) = 5777.3803989229010171146736264405
y[1] (numeric) = 5777.3803989229010169681842862289
absolute error = 1.464893402116e-16
relative error = 2.5355668156957531199129074971486e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.525
y[1] (analytic) = 5788.946722145299422426838225763
y[1] (numeric) = 5788.9467221452994222800553579466
absolute error = 1.467828678164e-16
relative error = 2.5355712336216562202164049658816e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.526
y[1] (analytic) = 5800.5362011623050055953657557825
y[1] (numeric) = 5800.5362011623050054482887727185
absolute error = 1.470769830640e-16
relative error = 2.5355756427229758066844576338517e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.527
y[1] (analytic) = 5812.148882331849287283338583359
y[1] (numeric) = 5812.1488823318492871359668962282
absolute error = 1.473716871308e-16
relative error = 2.5355800430162775671779825722909e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.528
y[1] (analytic) = 5823.7848121046724292448406628925
y[1] (numeric) = 5823.784812104672429097173681697
absolute error = 1.476669811955e-16
relative error = 2.5355844345171512868191607487027e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.529
y[1] (analytic) = 5835.4440370245090373475388811325
y[1] (numeric) = 5835.4440370245090371995760146931
absolute error = 1.479628664394e-16
relative error = 2.5355888172452805512150837340534e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.53
y[1] (analytic) = 5847.126603728274336573164848927
y[1] (numeric) = 5847.1266037282743364249055048815
absolute error = 1.482593440455e-16
relative error = 2.5355931912089286688655069554052e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.531
y[1] (analytic) = 5858.8325589462507187405973900755
y[1] (numeric) = 5858.8325589462507185920409748749
absolute error = 1.485564152006e-16
relative error = 2.5355975564408149091501953169711e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.532
y[1] (analytic) = 5870.561949502274663697736868338
y[1] (numeric) = 5870.5619495022746635488827872454
absolute error = 1.488540810926e-16
relative error = 2.5356019129517972831974961152467e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.533
y[1] (analytic) = 5882.3148223139240347298563693355
y[1] (numeric) = 5882.3148223139240345807040264236
absolute error = 1.491523429119e-16
relative error = 2.5356062607548094018245604822100e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.534
y[1] (analytic) = 5894.0912243927057489336116204675
y[1] (numeric) = 5894.091224392705748784160418616
absolute error = 1.494512018515e-16
relative error = 2.5356105998664555349229252713096e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.535
y[1] (analytic) = 5905.891202844243823307391395116
y[1] (numeric) = 5905.8912028442438231576407360084
absolute error = 1.497506591076e-16
relative error = 2.5356149303170523859565381273479e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.536
y[1] (analytic) = 5917.714804868467797310193013262
y[1] (numeric) = 5917.7148048684677971601422973847
absolute error = 1.500507158773e-16
relative error = 2.5356192521115447004737688604932e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.537
y[1] (analytic) = 5929.5620777598015326427134252545
y[1] (numeric) = 5929.5620777598015324923620518932
absolute error = 1.503513733613e-16
relative error = 2.5356235652752116940016163771211e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.538
y[1] (analytic) = 5941.4330689073523910058552548195
y[1] (numeric) = 5941.4330689073523908552026220578
absolute error = 1.506526327617e-16
relative error = 2.5356278698163552197102772467326e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.539
y[1] (analytic) = 5953.3278257951007905933590875795
y[1] (numeric) = 5953.3278257951007904424045922956
absolute error = 1.509544952839e-16
relative error = 2.5356321657583028968090837546606e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.54
y[1] (analytic) = 5965.246396002090142076788228347
y[1] (numeric) = 5965.2463960020901419255312662116
absolute error = 1.512569621354e-16
relative error = 2.5356364531190607603458158627815e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.541
y[1] (analytic) = 5977.188827202617164842610120384
y[1] (numeric) = 5977.1888272026171646910500858582
absolute error = 1.515600345258e-16
relative error = 2.5356407319112851014905195617261e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.542
y[1] (analytic) = 5989.155167166422584242639628707
y[1] (numeric) = 5989.1551671664225840907759150395
absolute error = 1.518637136675e-16
relative error = 2.5356450021539425922874252601825e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.543
y[1] (analytic) = 6001.145463758882210620633443472
y[1] (numeric) = 6001.1454637588822104684654426968
absolute error = 1.521680007752e-16
relative error = 2.5356492638638346036173113377611e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.544
y[1] (analytic) = 6013.159764941198400879351964592
y[1] (numeric) = 6013.1597649411984007268790675255
absolute error = 1.524728970665e-16
relative error = 2.5356535170655158006797691882296e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.545
y[1] (analytic) = 6025.198118770591903353935191112
y[1] (numeric) = 6025.198118770591903201156787352
absolute error = 1.527784037600e-16
relative error = 2.5356577617596013892785806686417e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.546
y[1] (analytic) = 6037.2605734004940867589723646475
y[1] (numeric) = 6037.2605734004940866058878425686
absolute error = 1.530845220789e-16
relative error = 2.5356619979825545892979208954972e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.547
y[1] (analytic) = 6049.347177080739553978181411456
y[1] (numeric) = 6049.3471770807395538247901582092
absolute error = 1.533912532468e-16
relative error = 2.5356662257368191119602640986902e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.548
y[1] (analytic) = 6061.4579781577591414671535986935
y[1] (numeric) = 6061.4579781577591413134550002027
absolute error = 1.536985984908e-16
relative error = 2.5356704450422199738867024270715e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=473.0MB, alloc=4.6MB, time=23.20
x[1] = 3.549
y[1] (analytic) = 6073.593025074773305041161273155
y[1] (numeric) = 6073.5930250747733048871547141148
absolute error = 1.540065590402e-16
relative error = 2.5356746559143052271712225901473e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.55
y[1] (analytic) = 6085.752366371985892821572091585
y[1] (numeric) = 6085.7523663719858926672569554573
absolute error = 1.543151361277e-16
relative error = 2.5356788583840256828411400307948e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.551
y[1] (analytic) = 6097.936050686778306115961786572
y[1] (numeric) = 6097.9360506867783059613374555857
absolute error = 1.546243309863e-16
relative error = 2.5356830524466631440639212990148e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.552
y[1] (analytic) = 6110.144126753904049008569247371
y[1] (numeric) = 6110.1441267539040488536351025171
absolute error = 1.549341448539e-16
relative error = 2.5356872381373897438158180890424e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.553
y[1] (analytic) = 6122.3766434056836674392925368575
y[1] (numeric) = 6122.3766434056836672840479578885
absolute error = 1.552445789690e-16
relative error = 2.5356914154605550632539924926501e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.554
y[1] (analytic) = 6134.6336495722000785509824205315
y[1] (numeric) = 6134.6336495722000783954267859581
absolute error = 1.555556345734e-16
relative error = 2.5356955844339246520188623960365e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.555
y[1] (analytic) = 6146.9151942814942910863510571755
y[1] (numeric) = 6146.9151942814942909304837442636
absolute error = 1.558673129119e-16
relative error = 2.5356997450835849286405260223778e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.556
y[1] (analytic) = 6159.2213266597615176173776997625
y[1] (numeric) = 6159.2213266597615174611980845315
absolute error = 1.561796152310e-16
relative error = 2.5357038974226723783116278685942e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.557
y[1] (analytic) = 6171.552095931547679391660585724
y[1] (numeric) = 6171.5520959315476792351680429448
absolute error = 1.564925427792e-16
relative error = 2.5357080414562824910200530955382e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.558
y[1] (analytic) = 6183.907551419946304581734663991
y[1] (numeric) = 6183.9075514199463044249285671817
absolute error = 1.568060968093e-16
relative error = 2.5357121772186624724807626774733e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.559
y[1] (analytic) = 6196.287742546795820724948418603
y[1] (numeric) = 6196.2877425467958205678281400282
absolute error = 1.571202785748e-16
relative error = 2.5357163047147401054374518253016e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.56
y[1] (analytic) = 6208.692718832877242143069811461
y[1] (numeric) = 6208.6927188328772419856347221284
absolute error = 1.574350893326e-16
relative error = 2.5357204239638222930721558602014e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.561
y[1] (analytic) = 6221.1225298981122531323712862205
y[1] (numeric) = 6221.1225298981122529746207558788
absolute error = 1.577505303417e-16
relative error = 2.5357245349784742560834792490824e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.562
y[1] (analytic) = 6233.5772254617616877165268577835
y[1] (numeric) = 6233.5772254617616875584602549188
absolute error = 1.580666028647e-16
relative error = 2.5357286377885689327645444846903e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.563
y[1] (analytic) = 6246.056855342624406756240563609
y[1] (numeric) = 6246.0568553426244065978572554442
absolute error = 1.583833081648e-16
relative error = 2.5357327323930028614623403848809e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.564
y[1] (analytic) = 6258.5614694592365732111149805375
y[1] (numeric) = 6258.5614694592365730524143330279
absolute error = 1.587006475096e-16
relative error = 2.5357368188206408607152652638280e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.565
y[1] (analytic) = 6271.09111783007132635086112029
y[1] (numeric) = 6271.0911178300713261918424981219
absolute error = 1.590186221681e-16
relative error = 2.5357408970820977134076842864432e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.566
y[1] (analytic) = 6283.645850573738855714546814725
y[1] (numeric) = 6283.6458505737388555552095813126
absolute error = 1.593372334124e-16
relative error = 2.5357449671968932787859986414426e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.567
y[1] (analytic) = 6296.2257179091868756181796946045
y[1] (numeric) = 6296.2257179091868754585232120879
absolute error = 1.596564825166e-16
relative error = 2.5357490291758119101135476626062e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.568
y[1] (analytic) = 6308.8307701559015010125230595065
y[1] (numeric) = 6308.8307701559015008525466887483
absolute error = 1.599763707582e-16
relative error = 2.5357530830430996468393853795848e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.569
y[1] (analytic) = 6321.461057734108525494648337975
y[1] (numeric) = 6321.4610577341085253343514385587
absolute error = 1.602968994163e-16
relative error = 2.5357571288077744576950229616918e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.57
y[1] (analytic) = 6334.1166311649751022783364524965
y[1] (numeric) = 6334.1166311649751021177183827229
absolute error = 1.606180697736e-16
relative error = 2.5357611664952720290704114676138e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.571
y[1] (analytic) = 6346.797541070811828930052239807
y[1] (numeric) = 6346.7975410708118287691123566928
absolute error = 1.609398831142e-16
relative error = 2.5357651961125378252751955244075e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.572
y[1] (analytic) = 6359.503838175275236678831139883
y[1] (numeric) = 6359.5038381752752365175687991575
absolute error = 1.612623407255e-16
relative error = 2.5357692176780069191002496029516e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.573
y[1] (analytic) = 6372.235573303570685110035663141
y[1] (numeric) = 6372.2355733035706849484502192441
absolute error = 1.615854438969e-16
relative error = 2.5357732312010075122375927403193e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.574
y[1] (analytic) = 6384.9927973826556630545606814045
y[1] (numeric) = 6384.9927973826556628926514874829
absolute error = 1.619091939216e-16
relative error = 2.5357772367099618640537814643177e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.575
y[1] (analytic) = 6397.77556144144349648669137052
y[1] (numeric) = 6397.7755614414434963244577784256
absolute error = 1.622335920944e-16
relative error = 2.5357812342177277990389304578788e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.576
y[1] (analytic) = 6410.583916611007464245445667672
y[1] (numeric) = 6410.5839166110074640828870279591
absolute error = 1.625586397129e-16
relative error = 2.5357852237403916858065060518857e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.577
y[1] (analytic) = 6423.417914124785322395864400916
y[1] (numeric) = 6423.4179141247853222329800628391
absolute error = 1.628843380769e-16
relative error = 2.5357892052878144285865014790710e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=476.8MB, alloc=4.6MB, time=23.39
TOP MAIN SOLVE Loop
x[1] = 3.578
y[1] (analytic) = 6436.2776053187842380483468087925
y[1] (numeric) = 6436.277605318784237885136120303
absolute error = 1.632106884895e-16
relative error = 2.5357931788807032203239343998196e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.579
y[1] (analytic) = 6449.1630416317861334557670006055
y[1] (numeric) = 6449.1630416317861332922293083492
absolute error = 1.635376922563e-16
relative error = 2.5357971445380176622556178124956e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.58
y[1] (analytic) = 6462.074274605553441209748019626
y[1] (numeric) = 6462.0742746055534410458826689414
absolute error = 1.638653506846e-16
relative error = 2.5358011022645260478013880686872e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.581
y[1] (analytic) = 6475.0113558850352713591145686595
y[1] (numeric) = 6475.0113558850352711949209035737
absolute error = 1.641936650858e-16
relative error = 2.5358050520879315257373079724591e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.582
y[1] (analytic) = 6487.974337218573991275193146671
y[1] (numeric) = 6487.9743372185739911106705098977
absolute error = 1.645226367733e-16
relative error = 2.5358089940261947905827794259440e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.583
y[1] (analytic) = 6500.963270458112219090279333113
y[1] (numeric) = 6500.9632704581122189254270660512
absolute error = 1.648522670618e-16
relative error = 2.5358129280767822446597096961406e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.584
y[1] (analytic) = 6513.9782075594002315372462498205
y[1] (numeric) = 6513.9782075594002313720636925495
absolute error = 1.651825572710e-16
relative error = 2.5358168542735905202550675390339e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.585
y[1] (analytic) = 6527.0192005822037870199258354385
y[1] (numeric) = 6527.0192005822037868544123267167
absolute error = 1.655135087218e-16
relative error = 2.5358207726282826842262114887788e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.586
y[1] (analytic) = 6540.0863016905123647455554910175
y[1] (numeric) = 6540.0863016905123645797103682798
absolute error = 1.658451227377e-16
relative error = 2.5358246831518350175753556029863e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.587
y[1] (analytic) = 6553.1795631527478207522469042095
y[1] (numeric) = 6553.1795631527478205860695035643
absolute error = 1.661774006452e-16
relative error = 2.5358285858605668897811867238014e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.588
y[1] (analytic) = 6566.2990373419734616661014401475
y[1] (numeric) = 6566.2990373419734614995910963743
absolute error = 1.665103437732e-16
relative error = 2.5358324807668689470236833846228e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.589
y[1] (analytic) = 6579.4447767361035370242674062385
y[1] (numeric) = 6579.4447767361035368574234527843
absolute error = 1.668439534542e-16
relative error = 2.5358363678973999006441318763245e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.59
y[1] (analytic) = 6592.616833918113151001908762417
y[1] (numeric) = 6592.6168339181131508347305313946
absolute error = 1.671782310224e-16
relative error = 2.5358402472640429458046966834040e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.591
y[1] (analytic) = 6605.8152615762485943827324646215
y[1] (numeric) = 6605.8152615762485942152192868072
absolute error = 1.675131778143e-16
relative error = 2.5358441188730547805317566008029e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.592
y[1] (analytic) = 6619.0401125042380976144026040455
y[1] (numeric) = 6619.0401125042380974465538088752
absolute error = 1.678487951703e-16
relative error = 2.5358479827492135973535880127265e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.593
y[1] (analytic) = 6632.2914396015030057918538448175
y[1] (numeric) = 6632.291439601503005623668760385
absolute error = 1.681850844325e-16
relative error = 2.5358518389023823319139002475872e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.594
y[1] (analytic) = 6645.5692958733693764132043749395
y[1] (numeric) = 6645.5692958733693762446823279928
absolute error = 1.685220469467e-16
relative error = 2.5358556873576714844350370591681e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.595
y[1] (analytic) = 6658.8737344312800007546596762575
y[1] (numeric) = 6658.8737344312800005857999921974
absolute error = 1.688596840601e-16
relative error = 2.5358595281206655931461469595816e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.596
y[1] (analytic) = 6672.204808493006849712492895782
y[1] (numeric) = 6672.2048084930068495432948986589
absolute error = 1.691979971231e-16
relative error = 2.5358633612045144512583176772709e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.597
y[1] (analytic) = 6685.562571382863944961885469537
y[1] (numeric) = 6685.5625713828639447923484820469
absolute error = 1.695369874901e-16
relative error = 2.5358671866417429548312792805021e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.598
y[1] (analytic) = 6698.947076531920656284112918124
y[1] (numeric) = 6698.9470765319206561142362616083
absolute error = 1.698766565157e-16
relative error = 2.5358710044272512522642900035601e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.599
y[1] (analytic) = 6712.358377478215425915265407154
y[1] (numeric) = 6712.3583774782154257450484015947
absolute error = 1.702170055593e-16
relative error = 2.5358748145871391910447776345771e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.6
y[1] (analytic) = 6725.796527866969920771400752379
y[1] (numeric) = 6725.7965278669699206008427163971
absolute error = 1.705580359819e-16
relative error = 2.5358786171307363899116474371008e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.601
y[1] (analytic) = 6739.261581450803613406739055685
y[1] (numeric) = 6739.2615814508036132358393065368
absolute error = 1.708997491482e-16
relative error = 2.5358824120818489780859724743396e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.602
y[1] (analytic) = 6752.753592089948792563223090823
y[1] (numeric) = 6752.7535920899487923919809443985
absolute error = 1.712421464245e-16
relative error = 2.5358861994474357384906578454932e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.603
y[1] (analytic) = 6766.2726137524660041714869238085
y[1] (numeric) = 6766.2726137524660039999016946281
absolute error = 1.715852291804e-16
relative error = 2.5358899792428196390053787194175e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.604
y[1] (analytic) = 6779.8187005144599236649970591135
y[1] (numeric) = 6779.8187005144599234930680603246
absolute error = 1.719289987889e-16
relative error = 2.5358937514929985213593350156539e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.605
y[1] (analytic) = 6793.3919065602956604708556560445
y[1] (numeric) = 6793.3919065602956602985821994203
absolute error = 1.722734566242e-16
relative error = 2.5358975162000829849185904045587e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.606
y[1] (analytic) = 6806.992286182815495542484066933
y[1] (numeric) = 6806.992286182815495369865462868
absolute error = 1.726186040650e-16
relative error = 2.5359012733919231522481615463652e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=480.6MB, alloc=4.6MB, time=23.60
TOP MAIN SOLVE Loop
x[1] = 3.607
y[1] (analytic) = 6820.619893783556052801137116844
y[1] (numeric) = 6820.6198937835560526281726743531
absolute error = 1.729644424909e-16
relative error = 2.5359050230689898774931608300946e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.608
y[1] (analytic) = 6834.274783872965905354934180436
y[1] (numeric) = 6834.2747838729659051816232071495
absolute error = 1.733109732865e-16
relative error = 2.5359087652645584456643161391592e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.609
y[1] (analytic) = 6847.957011070623617365832222222
y[1] (numeric) = 6847.9570110706236171921740243854
absolute error = 1.736581978366e-16
relative error = 2.5359124999742064949023948575426e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.61
y[1] (analytic) = 6861.6666301054562224367085588645
y[1] (numeric) = 6861.6666301054562222627024413334
absolute error = 1.740061175311e-16
relative error = 2.5359162272275200659610937522945e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.611
y[1] (analytic) = 6875.403695815958139392467183122
y[1] (numeric) = 6875.4036958159581392181124493609
absolute error = 1.743547337611e-16
relative error = 2.5359199470309496464225265237852e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.612
y[1] (analytic) = 6889.168263150410526330832065775
y[1] (numeric) = 6889.1682631504105261561280178535
absolute error = 1.747040479215e-16
relative error = 2.5359236594057000735001468408259e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.613
y[1] (analytic) = 6902.960387167101073820243931166
y[1] (numeric) = 6902.960387167101073645189869757
absolute error = 1.750540614090e-16
relative error = 2.5359273643585293566143636566858e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.614
y[1] (analytic) = 6916.7801230345442381240335910065
y[1] (numeric) = 6916.7801230345442379486288153824
absolute error = 1.754047756241e-16
relative error = 2.5359310619107268958260656393000e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.615
y[1] (analytic) = 6930.6275260317019153318050267815
y[1] (numeric) = 6930.6275260317019151560488348121
absolute error = 1.757561919694e-16
relative error = 2.5359347520733587914363396142927e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.616
y[1] (analytic) = 6944.502651548204557280725040522
y[1] (numeric) = 6944.502651548204557104616728671
absolute error = 1.761083118510e-16
relative error = 2.5359384348674485073678915091264e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.617
y[1] (analytic) = 6958.4055550845727301511834539205
y[1] (numeric) = 6958.4055550845727299747223172436
absolute error = 1.764611366769e-16
relative error = 2.5359421103008027321320031201565e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.618
y[1] (analytic) = 6972.3362922524391166230585338465
y[1] (numeric) = 6972.336292252439116446243865988
absolute error = 1.768146678585e-16
relative error = 2.5359457783895757172550564839742e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.619
y[1] (analytic) = 6986.2949187747709624805965653225
y[1] (numeric) = 6986.2949187747709623034276585124
absolute error = 1.771689068101e-16
relative error = 2.5359494391509482526295622335493e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.62
y[1] (analytic) = 7000.281490486092968555692288076
y[1] (numeric) = 7000.2814904860929683781684331277
absolute error = 1.775238549483e-16
relative error = 2.5359530925944652310121271993317e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.621
y[1] (analytic) = 7014.29606333271062890113826698
y[1] (numeric) = 7014.2960633327106287232587532869
absolute error = 1.778795136931e-16
relative error = 2.5359567387377130503349978004852e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.622
y[1] (analytic) = 7028.338693372934016087196187161
y[1] (numeric) = 7028.3386933729340159089603026935
absolute error = 1.782358844675e-16
relative error = 2.5359603776004671993036883158882e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.623
y[1] (analytic) = 7042.409436777302014516631558441
y[1] (numeric) = 7042.4094367773020143380385897444
absolute error = 1.785929686966e-16
relative error = 2.5359640091918095156479244659702e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.624
y[1] (analytic) = 7056.508349828807002655145388232
y[1] (numeric) = 7056.5083498288070024761946204234
absolute error = 1.789507678086e-16
relative error = 2.5359676335243250864080061660608e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.625
y[1] (analytic) = 7070.6354889231199850759320441845
y[1] (numeric) = 7070.6354889231199848966227609492
absolute error = 1.793092832353e-16
relative error = 2.5359712506210579324059897400414e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.626
y[1] (analytic) = 7084.790910568816175218891784995
y[1] (numeric) = 7084.7909105688161750392232685849
absolute error = 1.796685164101e-16
relative error = 2.5359748604870960799330727612172e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.627
y[1] (analytic) = 7098.9746713876010297668292970065
y[1] (numeric) = 7098.9746713876010295868008282361
absolute error = 1.800284687704e-16
relative error = 2.5359784631434772640308082394773e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.628
y[1] (analytic) = 7113.186828114536735542776042767
y[1] (numeric) = 7113.1868281145367353623869010115
absolute error = 1.803891417555e-16
relative error = 2.5359820585974262974346836326615e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.629
y[1] (analytic) = 7127.4274375982691498343843128255
y[1] (numeric) = 7127.4274375982691496536337760172
absolute error = 1.807505368083e-16
relative error = 2.5359856468662632872283452340174e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.63
y[1] (analytic) = 7141.6965568012551950531545809235
y[1] (numeric) = 7141.6965568012551948720419255488
absolute error = 1.811126553747e-16
relative error = 2.5359892279688206703039237467227e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.631
y[1] (analytic) = 7155.9942427999907086380751026865
y[1] (numeric) = 7155.9942427999907084565996037831
absolute error = 1.814754989034e-16
relative error = 2.5359928019225520949334659792909e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.632
y[1] (analytic) = 7170.320552785238749115073676173
y[1] (numeric) = 7170.3205527852387489332346073281
absolute error = 1.818390688449e-16
relative error = 2.5359963687295186051618607840169e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.633
y[1] (analytic) = 7184.6755440622583592255061065
y[1] (numeric) = 7184.675544062258359043302739846
absolute error = 1.822033666540e-16
relative error = 2.5359999284112575377086665221629e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.634
y[1] (analytic) = 7199.0592740510337870387341935085
y[1] (numeric) = 7199.059274051033786856165799721
absolute error = 1.825683937875e-16
relative error = 2.5360034809765587906482284781247e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=484.4MB, alloc=4.6MB, time=23.80
x[1] = 3.635
y[1] (analytic) = 7213.471800286504165965677998418
y[1] (numeric) = 7213.4718002865041657827438467119
absolute error = 1.829341517061e-16
relative error = 2.5360070264478504542021581758038e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.636
y[1] (analytic) = 7227.9131804187936545920627499115
y[1] (numeric) = 7227.9131804187936544087621080388
absolute error = 1.833006418727e-16
relative error = 2.5360105648374618228974961287901e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.637
y[1] (analytic) = 7242.383472213442037251920029497
y[1] (numeric) = 7242.3834722134420370682521637443
absolute error = 1.836678657527e-16
relative error = 2.5360140961517852067717433284197e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.638
y[1] (analytic) = 7256.882733551635786263745837617
y[1] (numeric) = 7256.8827335516357860797100128016
absolute error = 1.840358248154e-16
relative error = 2.5360176204105463152157724896241e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.639
y[1] (analytic) = 7271.411022430439586753564793218
y[1] (numeric) = 7271.411022430439586569160272685
absolute error = 1.844045205330e-16
relative error = 2.5360211376328378469593567713154e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.64
y[1] (analytic) = 7285.968396963028324991000067739
y[1] (numeric) = 7285.9683969630283248062261133592
absolute error = 1.847739543798e-16
relative error = 2.5360246478260645520467028681225e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.641
y[1] (analytic) = 7300.5549153789195411663027071185
y[1] (numeric) = 7300.5549153789195409811585792847
absolute error = 1.851441278338e-16
relative error = 2.5360281510078949083057834141540e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.642
y[1] (analytic) = 7315.1706360242063475381517598695
y[1] (numeric) = 7315.1706360242063473526367174943
absolute error = 1.855150423752e-16
relative error = 2.5360316471855724920345487023369e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.643
y[1] (analytic) = 7329.8156173617908128838981129865
y[1] (numeric) = 7329.8156173617908126980114134983
absolute error = 1.858866994882e-16
relative error = 2.5360351363804961843840024759213e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.644
y[1] (analytic) = 7344.4899179716178141857901478325
y[1] (numeric) = 7344.489917971617813999531047173
absolute error = 1.862591006595e-16
relative error = 2.5360386186075745279966946033191e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.645
y[1] (analytic) = 7359.193596550909356488588272716
y[1] (numeric) = 7359.1935965509093563019560253379
absolute error = 1.866322473781e-16
relative error = 2.5360420938724915536298297574905e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.646
y[1] (analytic) = 7373.9267119143993618658480750425
y[1] (numeric) = 7373.9267119143993616788419339057
absolute error = 1.870061411368e-16
relative error = 2.5360455621920598115189030363051e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.647
y[1] (analytic) = 7388.6893229945689284340282712215
y[1] (numeric) = 7388.68932299456892824664748779
absolute error = 1.873807834315e-16
relative error = 2.5360490235845545598049637254267e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.648
y[1] (analytic) = 7403.481488841882060355459824442
y[1] (numeric) = 7403.4814888418820601677036486812
absolute error = 1.877561757608e-16
relative error = 2.5360524780642151468019891361818e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.649
y[1] (analytic) = 7418.3032686250218697730965564995
y[1] (numeric) = 7418.3032686250218695849642368739
absolute error = 1.881323196256e-16
relative error = 2.5360559256358120601318565060374e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.65
y[1] (analytic) = 7433.154721631127251621855307615
y[1] (numeric) = 7433.1547216311272514333460910838
absolute error = 1.885092165312e-16
relative error = 2.5360593663229122796814115201889e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.651
y[1] (analytic) = 7448.0359072660300322632452051665
y[1] (numeric) = 7448.0359072660300320743583371816
absolute error = 1.888868679849e-16
relative error = 2.5360628001353875765435896772111e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.652
y[1] (analytic) = 7462.946885054492592891880896056
y[1] (numeric) = 7462.946885054492592702615620559
absolute error = 1.892652754970e-16
relative error = 2.5360662270828694468915176830946e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.653
y[1] (analytic) = 7477.887714640445968664373685593
y[1] (numeric) = 7477.8877146404459684747292450109
absolute error = 1.896444405821e-16
relative error = 2.5360696471920552320563726194740e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.654
y[1] (analytic) = 7492.8584557872284245029974159205
y[1] (numeric) = 7492.8584557872284243129730511646
absolute error = 1.900243647559e-16
relative error = 2.5360730604637494383559161500954e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.655
y[1] (analytic) = 7507.8591683778245085284326167575
y[1] (numeric) = 7507.8591683778245083380275672193
absolute error = 1.904050495382e-16
relative error = 2.5360764669129989939760777825752e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.656
y[1] (analytic) = 7522.8899124151045840778029781635
y[1] (numeric) = 7522.8899124151045838870164817117
absolute error = 1.907864964518e-16
relative error = 2.5360798665542484176399986418789e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.657
y[1] (analytic) = 7537.950748022064841266132536852
y[1] (numeric) = 7537.950748022064841074963829829
absolute error = 1.911687070230e-16
relative error = 2.5360832594078978619300828453805e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.658
y[1] (analytic) = 7553.041735442067789051270141894
y[1] (numeric) = 7553.0417354420677888597184591138
absolute error = 1.915516827802e-16
relative error = 2.5360866454816269837266409328284e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.659
y[1] (analytic) = 7568.16293503908322876424978017
y[1] (numeric) = 7568.1629350390832285723143549146
absolute error = 1.919354252554e-16
relative error = 2.5360900247902605988746977669155e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.66
y[1] (analytic) = 7583.314407297929710068981204305
y[1] (numeric) = 7583.3144072979297098766612683216
absolute error = 1.923199359834e-16
relative error = 2.5360933973450670392890023596084e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.661
y[1] (analytic) = 7598.496212824516470317095023794
y[1] (numeric) = 7598.4962128245164701243898072916
absolute error = 1.927052165024e-16
relative error = 2.5360967631616089102625429483245e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.662
y[1] (analytic) = 7613.7084123460858582657000012815
y[1] (numeric) = 7613.7084123460858580726087329276
absolute error = 1.930912683539e-16
relative error = 2.5361001222583058402185218227303e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.663
y[1] (analytic) = 7628.9510667114562431277477482565
y[1] (numeric) = 7628.9510667114562429342696551752
absolute error = 1.934780930813e-16
relative error = 2.5361034746379736904385119757481e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=488.3MB, alloc=4.6MB, time=24.00
x[1] = 3.664
y[1] (analytic) = 7644.2242368912654099266413455045
y[1] (numeric) = 7644.224236891265409732775653272
absolute error = 1.938656922325e-16
relative error = 2.5361068203219118277011308105870e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.665
y[1] (analytic) = 7659.52798397821444212866963127
y[1] (numeric) = 7659.5279839782144419344155639124
absolute error = 1.942540673576e-16
relative error = 2.5361101593196099190129842135933e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.666
y[1] (analytic) = 7674.8623691873120925287980120525
y[1] (numeric) = 7674.8623691873120923341547920422
absolute error = 1.946432200103e-16
relative error = 2.5361134916470259474680462861443e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.667
y[1] (analytic) = 7690.22745385611964336729966502
y[1] (numeric) = 7690.2274538561196431722665132729
absolute error = 1.950331517471e-16
relative error = 2.5361168173160379180817946792588e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.668
y[1] (analytic) = 7705.62329944499625665666792505
y[1] (numeric) = 7705.6232994449962564612440609222
absolute error = 1.954238641278e-16
relative error = 2.5361201363408922636067087420422e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.669
y[1] (analytic) = 7721.0499675373448157002114911775
y[1] (numeric) = 7721.0499675373448155043961324625
absolute error = 1.958153587150e-16
relative error = 2.5361234487316234218133406681410e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.67
y[1] (analytic) = 7736.507519839858258785698854624
y[1] (numeric) = 7736.5075198398582585894912175487
absolute error = 1.962076370753e-16
relative error = 2.5361267545095257342175154921160e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.671
y[1] (analytic) = 7751.9960181827664060393870514235
y[1] (numeric) = 7751.9960181827664058427863506465
absolute error = 1.966007007770e-16
relative error = 2.5361300536772902951252423984540e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.672
y[1] (analytic) = 7767.5155245200832804277424848725
y[1] (numeric) = 7767.5155245200832802307479334793
absolute error = 1.969945513932e-16
relative error = 2.5361333462590192629108959284090e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.673
y[1] (analytic) = 7783.066100929854923896138154437
y[1] (numeric) = 7783.0661009298549236987489639385
absolute error = 1.973891904985e-16
relative error = 2.5361366322575316255918685841668e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.674
y[1] (analytic) = 7798.6478096144077096357921763395
y[1] (numeric) = 7798.6478096144077094380075566676
absolute error = 1.977846196719e-16
relative error = 2.5361399116916803039004366553212e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.675
y[1] (analytic) = 7814.260712900597151472196994652
y[1] (numeric) = 7814.2607129005971512740161541571
absolute error = 1.981808404949e-16
relative error = 2.5361431845717968505181112277830e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.676
y[1] (analytic) = 7829.9048732400572113702771683655
y[1] (numeric) = 7829.904873240057211171699313813
absolute error = 1.985778545525e-16
relative error = 2.5361464509124668844961237715121e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.677
y[1] (analytic) = 7845.580353209450106053506087473
y[1] (numeric) = 7845.5803532094501058545304240401
absolute error = 1.989756634329e-16
relative error = 2.5361497107285828819450661650600e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.678
y[1] (analytic) = 7861.28721551071661373620842761
y[1] (numeric) = 7861.2872155107166135368341588827
absolute error = 1.993742687273e-16
relative error = 2.5361529640327159254277625722832e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.679
y[1] (analytic) = 7877.0255229713268819702756062045
y[1] (numeric) = 7877.0255229713268817705019341745
absolute error = 1.997736720300e-16
relative error = 2.5361562108363273239549116791638e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.68
y[1] (analytic) = 7892.795338544531737609525961409
y[1] (numeric) = 7892.7953385445317374093520864705
absolute error = 2.001738749385e-16
relative error = 2.5361594511509656842960626352115e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.681
y[1] (analytic) = 7908.596725309614499896949846335
y[1] (numeric) = 7908.5967253096144996963749672809
absolute error = 2.005748790541e-16
relative error = 2.5361626849957717699441462639180e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.682
y[1] (analytic) = 7924.4297464721432976820923233195
y[1] (numeric) = 7924.4297464721432974811156373393
absolute error = 2.009766859802e-16
relative error = 2.5361659123758690538161968055127e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.683
y[1] (analytic) = 7940.294465364223891777842664182
y[1] (numeric) = 7940.2944653642238915764633668575
absolute error = 2.013792973245e-16
relative error = 2.5361691333101292746652496407636e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.684
y[1] (analytic) = 7956.19094544475300346792042072
y[1] (numeric) = 7956.190945444753003266137706023
absolute error = 2.017827146970e-16
relative error = 2.5361723478058167357119752627959e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.685
y[1] (analytic) = 7972.1192502996721501783724331655
y[1] (numeric) = 7972.1192502996721499761854934539
absolute error = 2.021869397116e-16
relative error = 2.5361755558786929608384875999439e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.686
y[1] (analytic) = 7988.079443642221989328423801032
y[1] (numeric) = 7988.0794436422219891258318270467
absolute error = 2.025919739853e-16
relative error = 2.5361787575428360988370242451850e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.687
y[1] (analytic) = 8004.0715893131971713780585588855
y[1] (numeric) = 8004.071589313197171175060739747
absolute error = 2.029978191385e-16
relative error = 2.5361819528143247078444481312941e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.688
y[1] (analytic) = 8020.095751281201703091742587163
y[1] (numeric) = 8020.0957512812017028883381103689
absolute error = 2.034044767941e-16
relative error = 2.5361851416999149015269669974682e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.689
y[1] (analytic) = 8036.151993642904822039742153418
y[1] (numeric) = 8036.1519936429048218359302048397
absolute error = 2.038119485783e-16
relative error = 2.5361883242070073545417599793894e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.69
y[1] (analytic) = 8052.240380623297383360536430432
y[1] (numeric) = 8052.2403806232973831563161943101
absolute error = 2.042202361219e-16
relative error = 2.5361915003597046706800577517882e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.691
y[1] (analytic) = 8068.360976575948759809871382687
y[1] (numeric) = 8068.3609765759487596052420416289
absolute error = 2.046293410581e-16
relative error = 2.5361946701712967366221662022508e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.692
y[1] (analytic) = 8084.5138459832642561240555599535
y[1] (numeric) = 8084.513845983264255919016294931
absolute error = 2.050392650225e-16
relative error = 2.5361978336442872804206705710900e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=492.1MB, alloc=4.6MB, time=24.20
TOP MAIN SOLVE Loop
x[1] = 3.693
y[1] (analytic) = 8100.699053456743038727155594397
y[1] (numeric) = 8100.6990534567430385217055847416
absolute error = 2.054500096554e-16
relative error = 2.5362009907988132061569782242410e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.694
y[1] (analytic) = 8116.9166637372365818138105738835
y[1] (numeric) = 8116.9166637372365816079489972843
absolute error = 2.058615765992e-16
relative error = 2.5362041416403559702082695246352e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.695
y[1] (analytic) = 8133.166741695207630841449967347
y[1] (numeric) = 8133.1667416952076306351759998461
absolute error = 2.062739675009e-16
relative error = 2.5362072861905450194980390763436e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.696
y[1] (analytic) = 8149.4493523309896844677694163645
y[1] (numeric) = 8149.4493523309896842610822323547
absolute error = 2.066871840098e-16
relative error = 2.5362104244586929867779549662053e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.697
y[1] (analytic) = 8165.7645607750469959713924888275
y[1] (numeric) = 8165.7645607750469957642912610487
absolute error = 2.071012277788e-16
relative error = 2.5362135564577574964916075671302e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.698
y[1] (analytic) = 8182.112432288235095195724424018
y[1] (numeric) = 8182.1124322882350949882083235544
absolute error = 2.075161004636e-16
relative error = 2.5362166821944464503993385567290e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.699
y[1] (analytic) = 8198.4930322620618320580859918735
y[1] (numeric) = 8198.4930322620618318501541881491
absolute error = 2.079318037244e-16
relative error = 2.5362198016899349597772689923400e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.7
y[1] (analytic) = 8214.9064262189489426683018510255
y[1] (numeric) = 8214.906426218948942459953511802
absolute error = 2.083483392235e-16
relative error = 2.5362229149504248625023213411378e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.701
y[1] (analytic) = 8231.3526798124941391030082287305
y[1] (numeric) = 8231.3526798124941388942425201031
absolute error = 2.087657086274e-16
relative error = 2.5362260219927251669749981746602e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.702
y[1] (analytic) = 8247.831858827733723884039369368
y[1] (numeric) = 8247.8318588277337236748554557625
absolute error = 2.091839136055e-16
relative error = 2.5362291228283036154418871476827e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.703
y[1] (analytic) = 8264.3440291814057302113510152095
y[1] (numeric) = 8264.3440291814057300017480593791
absolute error = 2.096029558304e-16
relative error = 2.5362322174668889189589744039029e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.704
y[1] (analytic) = 8280.889256922213589003042202005
y[1] (numeric) = 8280.8892569222135887930193650266
absolute error = 2.100228369784e-16
relative error = 2.5362353059224451649844685652213e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.705
y[1] (analytic) = 8297.467608231090323797143881028
y[1] (numeric) = 8297.4676082310903235867003222993
absolute error = 2.104435587287e-16
relative error = 2.5362383882034071147220956223314e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.706
y[1] (analytic) = 8314.0791494214632745719543269975
y[1] (numeric) = 8314.0791494214632743610892042328
absolute error = 2.108651227647e-16
relative error = 2.5362414643282905036653783476832e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.707
y[1] (analytic) = 8330.723946939519351543816966179
y[1] (numeric) = 8330.7239469395193513325294354063
absolute error = 2.112875307727e-16
relative error = 2.5362445343099056015423761405995e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.708
y[1] (analytic) = 8347.402067364470820003356169451
y[1] (numeric) = 8347.402067364470819791645385009
absolute error = 2.117107844420e-16
relative error = 2.5362475981565309400075345146581e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.709
y[1] (analytic) = 8364.11357740882161725331070966
y[1] (numeric) = 8364.1135774088216170411758241944
absolute error = 2.121348854656e-16
relative error = 2.5362506558802466516414770526018e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.71
y[1] (analytic) = 8380.858543918634202713232989685
y[1] (numeric) = 8380.8585439186342025006731541452
absolute error = 2.125598355398e-16
relative error = 2.5362537074920428707132715008907e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.711
y[1] (analytic) = 8397.6370338737969422584548158105
y[1] (numeric) = 8397.6370338737969420454691794456
absolute error = 2.129856363649e-16
relative error = 2.5362567530100853079389613088576e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.712
y[1] (analytic) = 8414.4491143882920278628574287815
y[1] (numeric) = 8414.4491143882920276494451391376
absolute error = 2.134122896439e-16
relative error = 2.5362597924441130017397411615159e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.713
y[1] (analytic) = 8431.2948527104639336171247208495
y[1] (numeric) = 8431.2948527104639334032849237663
absolute error = 2.138397970832e-16
relative error = 2.5362628258037436663106498484883e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.714
y[1] (analytic) = 8448.174316223288409196304069763
y[1] (numeric) = 8448.1743162232884089820359093697
absolute error = 2.142681603933e-16
relative error = 2.5362658531066798163307337759688e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.715
y[1] (analytic) = 8465.0875724446420118526490186005
y[1] (numeric) = 8465.0875724446420116379516373136
absolute error = 2.146973812869e-16
relative error = 2.5362688743561019719486310498437e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.716
y[1] (analytic) = 8482.0346890275721780118721322
y[1] (numeric) = 8482.0346890275721777967446707186
absolute error = 2.151274614814e-16
relative error = 2.5362718895702065738125941971943e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.717
y[1] (analytic) = 8499.015733760567835553094775283
y[1] (numeric) = 8499.0157337605678353375363725861
absolute error = 2.155584026969e-16
relative error = 2.5362748987584431960579883156711e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.718
y[1] (analytic) = 8516.0307745678305578549432928965
y[1] (numeric) = 8516.0307745678305576389530862389
absolute error = 2.159902066576e-16
relative error = 2.5362779019379602706996280352875e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.719
y[1] (analytic) = 8533.07987950954626069240813909
y[1] (numeric) = 8533.0798795095462604759852639998
absolute error = 2.164228750902e-16
relative error = 2.5362808991146967266999525804287e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.72
y[1] (analytic) = 8550.163116782157443071253903533
y[1] (numeric) = 8550.1631167821574428543974938074
absolute error = 2.168564097256e-16
relative error = 2.5362838903032954345168965102598e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.721
y[1] (analytic) = 8567.280554718635973088943936695
y[1] (numeric) = 8567.2805547186359728716531243971
memory used=495.9MB, alloc=4.6MB, time=24.40
absolute error = 2.172908122979e-16
relative error = 2.5362868755152631847827510313556e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.722
y[1] (analytic) = 8584.4322617887564199132233810045
y[1] (numeric) = 8584.4322617887564196954972964596
absolute error = 2.177260845449e-16
relative error = 2.5362898547647454136388962209688e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.723
y[1] (analytic) = 8601.6183065993699329716888867605
y[1] (numeric) = 8601.6183065993699327535266585532
absolute error = 2.181622282073e-16
relative error = 2.5362928280591182904843523782904e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.724
y[1] (analytic) = 8618.8387578946786694478621362495
y[1] (numeric) = 8618.8387578946786692292628912196
absolute error = 2.185992450299e-16
relative error = 2.5362957954128982497257525890397e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.725
y[1] (analytic) = 8636.093684556510771181477526262
y[1] (numeric) = 8636.0936845565107709624403895013
absolute error = 2.190371367607e-16
relative error = 2.5362987568371684679938824793054e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.726
y[1] (analytic) = 8653.383155604595892072891976799
y[1] (numeric) = 8653.3831556045958918534160716473
absolute error = 2.194759051517e-16
relative error = 2.5363017123487770031207508350666e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.727
y[1] (analytic) = 8670.707240196841277093726850974
y[1] (numeric) = 8670.7072401968412768738112990164
absolute error = 2.199155519576e-16
relative error = 2.5363046619552052308990153652653e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.728
y[1] (analytic) = 8688.066007629608394008058396787
y[1] (numeric) = 8688.0660076296083937877023178503
absolute error = 2.203560789367e-16
relative error = 2.5363076056649392628960575201947e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.729
y[1] (analytic) = 8705.459527337990118910683964373
y[1] (numeric) = 8705.4595273379901186898864765219
absolute error = 2.207974878511e-16
relative error = 2.5363105434896764982469032582695e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.73
y[1] (analytic) = 8722.8878688960884766912065213705
y[1] (numeric) = 8722.8878688960884764699667409034
absolute error = 2.212397804671e-16
relative error = 2.5363134754487983200764568721911e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.731
y[1] (analytic) = 8740.351102017292937534899693067
y[1] (numeric) = 8740.3511020172929373132167345134
absolute error = 2.216829585536e-16
relative error = 2.5363164015509064430829816117696e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.732
y[1] (analytic) = 8757.8492965545592705735397018485
y[1] (numeric) = 8757.8492965545592703514126779652
absolute error = 2.221270238833e-16
relative error = 2.5363193218075513007727861503195e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.733
y[1] (analytic) = 8775.382522500688955801619181081
y[1] (numeric) = 8775.3825225006889555790472028488
absolute error = 2.225719782322e-16
relative error = 2.5363222362274239636806186167209e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.734
y[1] (analytic) = 8792.9508499886091553755909008315
y[1] (numeric) = 8792.9508499886091551525730774512
absolute error = 2.230178233803e-16
relative error = 2.5363251448242646421299710898340e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.735
y[1] (analytic) = 8810.554349291653245416026975696
y[1] (numeric) = 8810.5543492916532451925624145852
absolute error = 2.234645611108e-16
relative error = 2.5363280476076513552275157877697e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.736
y[1] (analytic) = 8828.193090823841909434821137417
y[1] (numeric) = 8828.1930908238419092109089442056
absolute error = 2.239121932114e-16
relative error = 2.5363309445976859882710176236352e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.737
y[1] (analytic) = 8845.867145140164794511808155885
y[1] (numeric) = 8845.8671451401647942874474344135
absolute error = 2.243607214715e-16
relative error = 2.5363338357931550518547502165025e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.738
y[1] (analytic) = 8863.576582936862731347425490554
y[1] (numeric) = 8863.5765829368627311226153428682
absolute error = 2.248101476858e-16
relative error = 2.5363367212122769530269843561759e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.739
y[1] (analytic) = 8881.321475051710519320297759198
y[1] (numeric) = 8881.3214750517105190950372855458
absolute error = 2.252604736522e-16
relative error = 2.5363396008687822621651513326852e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.74
y[1] (analytic) = 8899.1018924643002776808846314025
y[1] (numeric) = 8899.1018924643002774551729302304
absolute error = 2.257117011721e-16
relative error = 2.5363424747752484194916362729785e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.741
y[1] (analytic) = 8916.91790629632536401459729918
y[1] (numeric) = 8916.9179062963253637884334671305
absolute error = 2.261638320495e-16
relative error = 2.5363453429329370056654942161595e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.742
y[1] (analytic) = 8934.769587811864861110057755738
y[1] (numeric) = 8934.7695878118648608834408876441
absolute error = 2.266168680939e-16
relative error = 2.5363482053642832251948459735652e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.743
y[1] (analytic) = 8952.6570084176686333704487347435
y[1] (numeric) = 8952.6570084176686331433779236265
absolute error = 2.270708111170e-16
relative error = 2.5363510620757432370690837637754e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.744
y[1] (analytic) = 8970.5802396634429539081803355695
y[1] (numeric) = 8970.5802396634429536806546726348
absolute error = 2.275256629347e-16
relative error = 2.5363539130801674631505987273527e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.745
y[1] (analytic) = 8988.5393532421367034653820940185
y[1] (numeric) = 8988.5393532421367032374006686525
absolute error = 2.279814253660e-16
relative error = 2.5363567583844181157820041166233e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.746
y[1] (analytic) = 9006.534420990228142305016562095
y[1] (numeric) = 9006.5344209902281420765784618605
absolute error = 2.284381002345e-16
relative error = 2.5363595980060025515395762517634e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.747
y[1] (analytic) = 9024.565514888012256219702343639
y[1] (numeric) = 9024.5655148880122559908066542722
absolute error = 2.288956893668e-16
relative error = 2.5363624319551567360042337441453e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.748
y[1] (analytic) = 9042.632707059888677807631004245
y[1] (numeric) = 9042.632707059888677578276809652
absolute error = 2.293541945930e-16
relative error = 2.5363652602403660182332114879862e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.749
y[1] (analytic) = 9060.736069774650184167263343028
y[1] (numeric) = 9060.7360697746501839374497252803
absolute error = 2.298136177477e-16
relative error = 2.5363680828793383096921937197095e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=499.7MB, alloc=4.6MB, time=24.59
x[1] = 3.75
y[1] (analytic) = 9078.875675445771772164796189682
y[1] (numeric) = 9078.8756754457717719345222290142
absolute error = 2.302739606678e-16
relative error = 2.5363708998745990041432835420135e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.751
y[1] (analytic) = 9097.051596631700312430701182139
y[1] (numeric) = 9097.0515966317003121999659569441
absolute error = 2.307352251949e-16
relative error = 2.5363737112399435855820016362968e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.752
y[1] (analytic) = 9115.2639060361447832439518971815
y[1] (numeric) = 9115.2639060361447830127544840068
absolute error = 2.311974131747e-16
relative error = 2.5363765169936620396263285555734e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.753
y[1] (analytic) = 9133.512676508367085464875257898
y[1] (numeric) = 9133.512676508367085233214731443
absolute error = 2.316605264550e-16
relative error = 2.5363793171365154887440284409530e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.754
y[1] (analytic) = 9151.7979810434734396798873371455
y[1] (numeric) = 9151.7979810434734394477627702567
absolute error = 2.321245668888e-16
relative error = 2.5363821116857031664478222179765e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.755
y[1] (analytic) = 9170.119892782706366723702524483
y[1] (numeric) = 9170.1198927827063664911129881508
absolute error = 2.325895363322e-16
relative error = 2.5363849006517171705695770270853e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.756
y[1] (analytic) = 9188.4784850137372527469385347265
y[1] (numeric) = 9188.4784850137372525138830980818
absolute error = 2.330554366447e-16
relative error = 2.5363876840415932041353741664072e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.757
y[1] (analytic) = 9206.873831170959499999377918632
y[1] (numeric) = 9206.8738311709594997658556489414
absolute error = 2.335222696906e-16
relative error = 2.5363904618740701796888583581985e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.758
y[1] (analytic) = 9225.3060048357822645014895996145
y[1] (numeric) = 9225.3060048357822642674995622776
absolute error = 2.339900373369e-16
relative error = 2.5363932341566290139821703029358e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.759
y[1] (analytic) = 9243.775079736924781779161514248
y[1] (numeric) = 9243.7750797369247815447027727931
absolute error = 2.344587414549e-16
relative error = 2.5363960009028327560120572271878e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.76
y[1] (analytic) = 9262.281129750711281838947687904
y[1] (numeric) = 9262.2811297507112816040193039853
absolute error = 2.349283839187e-16
relative error = 2.5363987621159902750817470672057e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.761
y[1] (analytic) = 9280.824228901366494563490039743
y[1] (numeric) = 9280.8242289013664943280910731356
absolute error = 2.353989666074e-16
relative error = 2.5364015178128824114912961198949e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.762
y[1] (analytic) = 9299.4044513613117467091368927475
y[1] (numeric) = 9299.4044513613117464732664013436
absolute error = 2.358704914039e-16
relative error = 2.5364042680106426681499934376411e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.763
y[1] (analytic) = 9318.0218714514616516901465740685
y[1] (numeric) = 9318.0218714514616514538036138757
absolute error = 2.363429601928e-16
relative error = 2.5364070127041355063896179600947e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.764
y[1] (analytic) = 9336.676563641521393336235638094
y[1] (numeric) = 9336.6765636415213930994192632286
absolute error = 2.368163748654e-16
relative error = 2.5364097519196498358852800352495e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.765
y[1] (analytic) = 9355.3686025502846048126071387945
y[1] (numeric) = 9355.3686025502846045753164014801
absolute error = 2.372907373144e-16
relative error = 2.5364124856578527848034015825356e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.766
y[1] (analytic) = 9374.098062945931843893975028649
y[1] (numeric) = 9374.0980629459318436562089792107
absolute error = 2.377660494383e-16
relative error = 2.5364152139409019209592466805663e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.767
y[1] (analytic) = 9392.865019746329665786486178199
y[1] (numeric) = 9392.8650197463296655482438650621
absolute error = 2.382423131369e-16
relative error = 2.5364179367642412885141339180319e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.768
y[1] (analytic) = 9411.6695480193302946938317027005
y[1] (numeric) = 9411.6695480193302944551121723836
absolute error = 2.387195303169e-16
relative error = 2.5364206541562874516349984348572e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.769
y[1] (analytic) = 9430.51172298307189532623425986
y[1] (numeric) = 9430.5117229830718950870365569744
absolute error = 2.391977028856e-16
relative error = 2.5364233661112153033732585175853e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.77
y[1] (analytic) = 9449.391620006279445553397754989
y[1] (numeric) = 9449.3916200062794453137209222323
absolute error = 2.396768327567e-16
relative error = 2.5364260726505980763422494358279e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.771
y[1] (analytic) = 9468.309314608566211404910466519
y[1] (numeric) = 9468.3093146085662111647535446722
absolute error = 2.401569218468e-16
relative error = 2.5364287737860879045885591355857e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.772
y[1] (analytic) = 9487.2648824607358256240019954685
y[1] (numeric) = 9487.2648824607358253833640233931
absolute error = 2.406379720754e-16
relative error = 2.5364314695194335307430982235678e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.773
y[1] (analytic) = 9506.25839938508497098296865666
y[1] (numeric) = 9506.2583993850849707418486712925
absolute error = 2.411199853675e-16
relative error = 2.5364341598698486341393957364049e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.774
y[1] (analytic) = 9525.289941355706669571000976959
y[1] (numeric) = 9525.2899413557066693293980133084
absolute error = 2.416029636506e-16
relative error = 2.5364368448422616364475431106956e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.775
y[1] (analytic) = 9544.3595844987941792675708562405
y[1] (numeric) = 9544.3595844987941790254839473837
absolute error = 2.420869088568e-16
relative error = 2.5364395244493796231577986582749e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.776
y[1] (analytic) = 9563.4674050929454986169646898205
y[1] (numeric) = 9563.4674050929454983743928668983
absolute error = 2.425718229222e-16
relative error = 2.5364421987052560164111554003843e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.777
y[1] (analytic) = 9582.6134795694684813219823564925
y[1] (numeric) = 9582.6134795694684810789246487064
absolute error = 2.430577077861e-16
relative error = 2.5364448676168476181612768982779e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.778
y[1] (analytic) = 9601.7978845126865615772604537875
y[1] (numeric) = 9601.7978845126865613337158883954
absolute error = 2.435445653921e-16
relative error = 2.5364475311954605851199635854507e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=503.5MB, alloc=4.6MB, time=24.79
TOP MAIN SOLVE Loop
x[1] = 3.779
y[1] (analytic) = 9621.020696660245091465121521381
y[1] (numeric) = 9621.0206966602450912210891236931
absolute error = 2.440323976879e-16
relative error = 2.5364501894545473715158982087386e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.78
y[1] (analytic) = 9640.2819929034182916392992444935
y[1] (numeric) = 9640.2819929034182913947780378692
absolute error = 2.445212066243e-16
relative error = 2.5364528423992311475421456604144e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.781
y[1] (analytic) = 9659.581850287416816524342781458
y[1] (numeric) = 9659.5818502874168162793317873008
absolute error = 2.450109941572e-16
relative error = 2.5364554900470127532275111657613e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.782
y[1] (analytic) = 9678.92034601169593526096142315
y[1] (numeric) = 9678.9203460116959350154596609049
absolute error = 2.455017622451e-16
relative error = 2.5364581324017369643400607200933e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.783
y[1] (analytic) = 9698.2975574302643296300337765775
y[1] (numeric) = 9698.2975574302643293840402637257
absolute error = 2.459935128518e-16
relative error = 2.5364607694814876061433849136213e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.784
y[1] (analytic) = 9717.7135620519935101904735803865
y[1] (numeric) = 9717.713562051993509943987332443
absolute error = 2.464862479435e-16
relative error = 2.5364634012885221903700871753527e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.785
y[1] (analytic) = 9737.168437540927851868617116312
y[1] (numeric) = 9737.1684375409278516216371468207
absolute error = 2.469799694913e-16
relative error = 2.5364660278350235629415225976790e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.786
y[1] (analytic) = 9756.662261716595250239274987496
y[1] (numeric) = 9756.6622617165952499918003080253
absolute error = 2.474746794707e-16
relative error = 2.5364686491377954046868104163048e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.787
y[1] (analytic) = 9776.1951125543183997410738020905
y[1] (numeric) = 9776.1951125543183994931034222306
absolute error = 2.479703798599e-16
relative error = 2.5364712652007458530441721139760e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.788
y[1] (analytic) = 9795.767068185526695071201038554
y[1] (numeric) = 9795.7670681855266948227339659119
absolute error = 2.484670726421e-16
relative error = 2.5364738760384146350185706218026e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.789
y[1] (analytic) = 9815.378206898068757007159087483
y[1] (numeric) = 9815.3782068980687567581943276793
absolute error = 2.489647598037e-16
relative error = 2.5364764816574475784331283766340e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.79
y[1] (analytic) = 9835.028607136525583905632173702
y[1] (numeric) = 9835.0286071365255836561687303659
absolute error = 2.494634433361e-16
relative error = 2.5364790820748962679916384784847e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.791
y[1] (analytic) = 9854.718347502524330131072571608
y[1] (numeric) = 9854.7183475025243298811094463748
absolute error = 2.499631252332e-16
relative error = 2.5364816772926647138633605308529e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.792
y[1] (analytic) = 9874.4475067550527126691202464955
y[1] (numeric) = 9874.4475067550527124186564390012
absolute error = 2.504638074943e-16
relative error = 2.5364842673269481729839115327937e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.793
y[1] (analytic) = 9894.216163810774047182482794738
y[1] (numeric) = 9894.2161638107740469315173026163
absolute error = 2.509654921217e-16
relative error = 2.5364868521837531526780958261495e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.794
y[1] (analytic) = 9914.0243977443429147694203264045
y[1] (numeric) = 9914.0243977443429145179521452816
absolute error = 2.514681811229e-16
relative error = 2.5364894318811087814788019692467e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.795
y[1] (analytic) = 9933.8722877887214606875027451295
y[1] (numeric) = 9933.8722877887214604355308686219
absolute error = 2.519718765076e-16
relative error = 2.5364920064186662036231284803525e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.796
y[1] (analytic) = 9953.759913335496326307834742009
y[1] (numeric) = 9953.7599133354963260553581617177
absolute error = 2.524765802913e-16
relative error = 2.5364945758139681370587488548341e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.797
y[1] (analytic) = 9973.687353935196215567476742986
y[1] (numeric) = 9973.6873539351962153144944484931
absolute error = 2.529822944929e-16
relative error = 2.5364971400781262762930732471371e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.798
y[1] (analytic) = 9993.6546892976100971903280428405
y[1] (numeric) = 9993.6546892976100969368390217054
absolute error = 2.534890211351e-16
relative error = 2.5364996992198068209630887561953e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.799
y[1] (analytic) = 10013.661999292106043949281433582
y[1] (numeric) = 10013.661999292106043695284671337
absolute error = 2.53996762245e-16
relative error = 2.5365022532511657188534553413458e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.8
y[1] (analytic) = 10033.709363947950710245006800984
y[1] (numeric) = 10033.709363947950709990501281131
absolute error = 2.54505519853e-16
relative error = 2.5365048021767698546040355886636e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.801
y[1] (analytic) = 10053.796863454629449279274430362
y[1] (numeric) = 10053.796863454629449024259134369
absolute error = 2.55015295993e-16
relative error = 2.5365073459955811186153657375171e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.802
y[1] (analytic) = 10073.92457816216707110328714172
y[1] (numeric) = 10073.924578162167070847761049013
absolute error = 2.55526092707e-16
relative error = 2.5365098847465941015273410558375e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.803
y[1] (analytic) = 10094.09258858144924282405387525
y[1] (numeric) = 10094.092588581449242568015963214
absolute error = 2.56037912036e-16
relative error = 2.5365124184182039102668200738082e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.804
y[1] (analytic) = 10114.300975384544532254405981246
y[1] (numeric) = 10114.300975384544531997855225218
absolute error = 2.56550756028e-16
relative error = 2.5365149470277254673191998763020e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.805
y[1] (analytic) = 10134.549819405027096294831243857
y[1] (numeric) = 10134.549819405027096037766617123
absolute error = 2.57064626734e-16
relative error = 2.5365174705815555569266319988968e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.806
y[1] (analytic) = 10154.839201638300015337879596286
y[1] (numeric) = 10154.839201638300015080300070076
absolute error = 2.57579526210e-16
relative error = 2.5365199890948956890386796283626e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.807
y[1] (analytic) = 10175.169203241919274988478576163
y[1] (numeric) = 10175.169203241919274730383119647
absolute error = 2.58095456516e-16
relative error = 2.5365225025817554766006440470686e-18 %
Correct digits = 19
h = 0.001
memory used=507.3MB, alloc=4.6MB, time=25.00
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.808
y[1] (analytic) = 10195.539905535918396396085834328
y[1] (numeric) = 10195.539905535918396137473414612
absolute error = 2.58612419716e-16
relative error = 2.5365250110548833738939598617557e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.809
y[1] (analytic) = 10215.951390003133716497200458482
y[1] (numeric) = 10215.951390003133716238070040606
absolute error = 2.59130417876e-16
relative error = 2.5365275145061209264311299051307e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.81
y[1] (analytic) = 10236.403738289530319469354515454
y[1] (numeric) = 10236.403738289530319209705062385
absolute error = 2.59649453069e-16
relative error = 2.5365300129553758379714100414766e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.811
y[1] (analytic) = 10256.897032204528620700311062618
y[1] (numeric) = 10256.897032204528620440141535247
absolute error = 2.60169527371e-16
relative error = 2.5365325064112632017209277771723e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.812
y[1] (analytic) = 10277.431353721331604578804940716
y[1] (numeric) = 10277.431353721331604318114297852
absolute error = 2.60690642864e-16
relative error = 2.5365349949003271286611196715829e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.813
y[1] (analytic) = 10298.00678497725271741577794734
y[1] (numeric) = 10298.006784977252717154565145711
absolute error = 2.61212801629e-16
relative error = 2.5365374783988064089051391793316e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.814
y[1] (analytic) = 10318.623408274044416807680513242
y[1] (numeric) = 10318.623408274044416545944507485
absolute error = 2.61736005757e-16
relative error = 2.5365399569396588048047011506283e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.815
y[1] (analytic) = 10339.2813060782273787560377727
y[1] (numeric) = 10339.28130607822737849377751536
absolute error = 2.62260257340e-16
relative error = 2.5365424305248681406324984762949e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.816
y[1] (analytic) = 10359.980561021420363860108945188
y[1] (numeric) = 10359.980561021420363597323386712
absolute error = 2.62785558476e-16
relative error = 2.5365448991739344910641662897434e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.817
y[1] (analytic) = 10380.721255900670743902105238778
y[1] (numeric) = 10380.721255900670743638793327512
absolute error = 2.63311911266e-16
relative error = 2.5365473628947188217047149970509e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.818
y[1] (analytic) = 10401.50347367878569014707305687
y[1] (numeric) = 10401.503473678785689883233739056
absolute error = 2.63839317814e-16
relative error = 2.5365498216834779187595379023470e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.819
y[1] (analytic) = 10422.327297484664024682196149356
y[1] (numeric) = 10422.327297484664024417828369125
absolute error = 2.64367780231e-16
relative error = 2.5365522755632785771368506220825e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.82
y[1] (analytic) = 10443.192810613628736122922507893
y[1] (numeric) = 10443.192810613628735858025207262
absolute error = 2.64897300631e-16
relative error = 2.5365547245453468870954045850697e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.821
y[1] (analytic) = 10464.100096527760161015979273156
y[1] (numeric) = 10464.100096527760160750551392025
absolute error = 2.65427881131e-16
relative error = 2.5365571686291050345336898273699e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.822
y[1] (analytic) = 10485.049238856229832272001710366
y[1] (numeric) = 10485.049238856229832006042186512
absolute error = 2.65959523854e-16
relative error = 2.5365596078308203737248946846775e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.823
y[1] (analytic) = 10506.040321395634995963170428744
y[1] (numeric) = 10506.040321395634995696678197818
absolute error = 2.66492230926e-16
relative error = 2.5365620421548015955584065506688e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.824
y[1] (analytic) = 10527.073428110333797823924481456
y[1] (numeric) = 10527.073428110333797556898476978
absolute error = 2.67026004478e-16
relative error = 2.5365644716124356084829394903262e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.825
y[1] (analytic) = 10548.148643132781140795496795828
y[1] (numeric) = 10548.148643132781140527935949181
absolute error = 2.67560846647e-16
relative error = 2.5365668962315164213612880452549e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.826
y[1] (analytic) = 10569.266050763865214957702559764
y[1] (numeric) = 10569.266050763865214689605800195
absolute error = 2.68096759569e-16
relative error = 2.5365693159897704471339674005696e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.827
y[1] (analytic) = 10590.425735473244701194100740257
y[1] (numeric) = 10590.425735473244700925466994867
absolute error = 2.68633745390e-16
relative error = 2.5365717309191423992497094404491e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.828
y[1] (analytic) = 10611.62778189968664993934384421
y[1] (numeric) = 10611.627781899686649670172037952
absolute error = 2.69171806258e-16
relative error = 2.5365741410297849674203667819653e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.829
y[1] (analytic) = 10632.872274851405036360231361492
y[1] (numeric) = 10632.872274851405036090520417169
absolute error = 2.69710944323e-16
relative error = 2.5365765463101946740603026088376e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.83
y[1] (analytic) = 10654.159299306399993324688065854
y[1] (numeric) = 10654.15929930639999305443690411
absolute error = 2.70251161744e-16
relative error = 2.5365789467930492811786768287627e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.831
y[1] (analytic) = 10675.488940412797723515599501905
y[1] (numeric) = 10675.488940412797723244807041223
absolute error = 2.70792460682e-16
relative error = 2.5365813424891155380006744568742e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.832
y[1] (analytic) = 10696.861283489191092049153566731
y[1] (numeric) = 10696.861283489191091777818723431
absolute error = 2.71334843300e-16
relative error = 2.5365837333873861953296216779848e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.833
y[1] (analytic) = 10718.276414024980900960059113637
y[1] (numeric) = 10718.276414024980900688180801868
absolute error = 2.71878311769e-16
relative error = 2.5365861195111956732348393931283e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.834
y[1] (analytic) = 10739.734417680717846918739973912
y[1] (numeric) = 10739.734417680717846646317105649
absolute error = 2.72422868263e-16
relative error = 2.5365885008712407657266646735824e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.835
y[1] (analytic) = 10761.235380288445163548335721353
y[1] (numeric) = 10761.235380288445163275367206393
absolute error = 2.72968514960e-16
relative error = 2.5365908774749179986333066214276e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=511.1MB, alloc=4.6MB, time=25.20
x[1] = 3.836
y[1] (analytic) = 10782.77938785204194971207890439
y[1] (numeric) = 10782.779387852041949438563650348
absolute error = 2.73515254042e-16
relative error = 2.5365932493262755967593221298429e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.837
y[1] (analytic) = 10804.366526547567185144362353106
y[1] (numeric) = 10804.36652654756718487029926541
absolute error = 2.74063087696e-16
relative error = 2.5365956164352215792701289808984e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.838
y[1] (analytic) = 10825.996882723604434801559544104
y[1] (numeric) = 10825.996882723604434526947525989
absolute error = 2.74612018115e-16
relative error = 2.5365979788266215069848737317254e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.839
y[1] (analytic) = 10847.670542901607243311415886099
y[1] (numeric) = 10847.670542901607243036253838606
absolute error = 2.75162047493e-16
relative error = 2.5366003364939752392445822362224e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.84
y[1] (analytic) = 10869.387593776245220902589184346
y[1] (numeric) = 10869.387593776245220626876006316
absolute error = 2.75713178030e-16
relative error = 2.5366026894456494596906918861259e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.841
y[1] (analytic) = 10891.148122215750822198683463495
y[1] (numeric) = 10891.148122215750821922418051564
absolute error = 2.76265411931e-16
relative error = 2.5366050376954670690983997361669e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.842
y[1] (analytic) = 10912.95221526226681926389178739
y[1] (numeric) = 10912.952215262266818987073035985
absolute error = 2.76818751405e-16
relative error = 2.5366073812534083427577217248258e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.843
y[1] (analytic) = 10934.79996013219447029014072168
y[1] (numeric) = 10934.799960132194470012767523014
absolute error = 2.77373198666e-16
relative error = 2.5366097201347133031333450631748e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.844
y[1] (analytic) = 10956.691444216542385318411652038
y[1] (numeric) = 10956.691444216542385040482896107
absolute error = 2.77928755931e-16
relative error = 2.5366120543414945121206660804346e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.845
y[1] (analytic) = 10978.626755081276090389702308439
y[1] (numeric) = 10978.626755081276090111216883016
absolute error = 2.78485425423e-16
relative error = 2.5366143838901128486402512876923e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.846
y[1] (analytic) = 11000.605980467668291523885565417
y[1] (numeric) = 11000.60598046766829124484235605
absolute error = 2.79043209367e-16
relative error = 2.5366167087745928699790086081743e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.847
y[1] (analytic) = 11022.629208292649839927521900766
y[1] (numeric) = 11022.629208292649839647919790771
absolute error = 2.79602109995e-16
relative error = 2.5366190290121259467845918045615e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.848
y[1] (analytic) = 11044.696526649161399834486811878
y[1] (numeric) = 11044.696526649161399554324682335
absolute error = 2.80162129543e-16
relative error = 2.5366213446155961258938896301627e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.849
y[1] (analytic) = 11066.808023806505820386085021124
y[1] (numeric) = 11066.808023806505820105361750874
absolute error = 2.80723270250e-16
relative error = 2.5366236555845058646719481564344e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.85
y[1] (analytic) = 11088.963788210701212960139460568
y[1] (numeric) = 11088.963788210701212678853926205
absolute error = 2.81285534363e-16
relative error = 2.5366259619501184931627562338269e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.851
y[1] (analytic) = 11111.163908484834735361364823126
y[1] (numeric) = 11111.163908484834735079515898997
absolute error = 2.81848924129e-16
relative error = 2.5366282637030607025275617256920e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.852
y[1] (analytic) = 11133.408473429417084288162913392
y[1] (numeric) = 11133.40847342941708400574947159
absolute error = 2.82413441802e-16
relative error = 2.5366305608565205025726666851616e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.853
y[1] (analytic) = 11155.697572022737697493810137965
y[1] (numeric) = 11155.697572022737697210831048324
absolute error = 2.82979089641e-16
relative error = 2.5366328534280135655084692535189e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.854
y[1] (analytic) = 11178.031293421220667062846253616
y[1] (numeric) = 11178.031293421220666779300383709
absolute error = 2.83545869907e-16
relative error = 2.5366351414124205255648323840051e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.855
y[1] (analytic) = 11200.409726959781365226317953426
y[1] (numeric) = 11200.409726959781364942204168559
absolute error = 2.84113784867e-16
relative error = 2.5366374248178447993790970581789e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.856
y[1] (analytic) = 11222.832962152183784142381027349
y[1] (numeric) = 11222.832962152183783857698190554
absolute error = 2.84682836795e-16
relative error = 2.5366397036743105159377168813528e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.857
y[1] (analytic) = 11245.30108869139859107162069607
y[1] (numeric) = 11245.301088691398590786367668104
absolute error = 2.85253027966e-16
relative error = 2.5366419779801070018598887450920e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.858
y[1] (analytic) = 11267.814196449961900379311296848
y[1] (numeric) = 11267.814196449961900093486936189
absolute error = 2.85824360659e-16
relative error = 2.5366442477286485363434873594455e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.859
y[1] (analytic) = 11290.372375480334763799703808746
y[1] (numeric) = 11290.372375480334763513306971585
absolute error = 2.86396837161e-16
relative error = 2.5366465129438709497269139838461e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.86
y[1] (analytic) = 11312.975716015263380400302753712
y[1] (numeric) = 11312.975716015263380113332293949
absolute error = 2.86970459763e-16
relative error = 2.5366487736444887605048141777389e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.861
y[1] (analytic) = 11335.624308468140027686972810899
y[1] (numeric) = 11335.624308468140027399427580142
absolute error = 2.87545230757e-16
relative error = 2.5366510298175005569061637602743e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.862
y[1] (analytic) = 11358.318243433364715293600045909
y[1] (numeric) = 11358.318243433364715005478893465
absolute error = 2.88121152444e-16
relative error = 2.5366532814888574673711935532071e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.863
y[1] (analytic) = 11381.057611686707562702922995782
y[1] (numeric) = 11381.057611686707562414224768656
absolute error = 2.88698227126e-16
relative error = 2.5366555286527017181006350109216e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.864
y[1] (analytic) = 11403.842504185671902448044976253
y[1] (numeric) = 11403.842504185671902158768519139
absolute error = 2.89276457114e-16
relative error = 2.5366577713417545744224668367296e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=515.0MB, alloc=4.6MB, time=25.41
x[1] = 3.865
y[1] (analytic) = 11426.673012069858110247040901439
y[1] (numeric) = 11426.673012069858109957185056721
absolute error = 2.89855844718e-16
relative error = 2.5366600095393360439142967258225e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.866
y[1] (analytic) = 11449.549226661328163525979639515
y[1] (numeric) = 11449.549226661328163235543247259
absolute error = 2.90436392256e-16
relative error = 2.5366622432583822158222879771719e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.867
y[1] (analytic) = 11472.471239464970929788596482526
y[1] (numeric) = 11472.471239464970929497578380474
absolute error = 2.91018102052e-16
relative error = 2.5366644725236364361696688417765e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.868
y[1] (analytic) = 11495.439142168868186293769696082
y[1] (numeric) = 11495.439142168868186002168719651
absolute error = 2.91600976431e-16
relative error = 2.5366666973279547370936289396539e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.869
y[1] (analytic) = 11518.453026644661372504880346881
y[1] (numeric) = 11518.453026644661372212695329155
absolute error = 2.92185017726e-16
relative error = 2.5366689176933148638886812161689e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.87
y[1] (analytic) = 11541.512984947919076778065694478
y[1] (numeric) = 11541.512984947919076485295466206
absolute error = 2.92770228272e-16
relative error = 2.5366711336184587912196747409423e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.871
y[1] (analytic) = 11564.619109318505258759313390324
y[1] (numeric) = 11564.619109318505258465956779913
absolute error = 2.93356610411e-16
relative error = 2.5366733451222787003614729723274e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.872
y[1] (analytic) = 11587.771492180948208963286563388
y[1] (numeric) = 11587.771492180948208669342396901
absolute error = 2.93944166487e-16
relative error = 2.5366755522003862019294627789458e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.873
y[1] (analytic) = 11610.970226144810247009718599634
y[1] (numeric) = 11610.970226144810246715185700782
absolute error = 2.94532898852e-16
relative error = 2.5366777548769388316001192093395e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.874
y[1] (analytic) = 11634.215404005058159996171053838
y[1] (numeric) = 11634.215404005058159701048243979
absolute error = 2.95122809859e-16
relative error = 2.5366799531441071010565516098293e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.875
y[1] (analytic) = 11657.507118742434382488908678722
y[1] (numeric) = 11657.507118742434382193194776853
absolute error = 2.95713901869e-16
relative error = 2.5366821470223596355521277724137e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.876
y[1] (analytic) = 11680.84546352382891961661202978
y[1] (numeric) = 11680.845463523828919320305852535
absolute error = 2.96306177245e-16
relative error = 2.5366843365087340497245175763035e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.877
y[1] (analytic) = 11704.23053170265201475462051658
y[1] (numeric) = 11704.230531702652014457720878221
absolute error = 2.96899638359e-16
relative error = 2.5366865216367970482151992640210e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.878
y[1] (analytic) = 11727.662416819207563290377134364
y[1] (numeric) = 11727.662416819207562992882846782
absolute error = 2.97494287582e-16
relative error = 2.5366887023909305396643416754984e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.879
y[1] (analytic) = 11751.141212601067273963730435653
y[1] (numeric) = 11751.14121260106727366564030836
absolute error = 2.98090127293e-16
relative error = 2.5366908787833293657641601707043e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.88
y[1] (analytic) = 11774.667012963445579278739601913
y[1] (numeric) = 11774.667012963445578980052442036
absolute error = 2.98687159877e-16
relative error = 2.5366930508366578591262435374018e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.881
y[1] (analytic) = 11798.239912009575296486624762394
y[1] (numeric) = 11798.239912009575296187339374674
absolute error = 2.99285387720e-16
relative error = 2.5366952185414849691849749770669e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.882
y[1] (analytic) = 11821.860004031084040642506992836
y[1] (numeric) = 11821.860004031084040342622179619
absolute error = 2.99884813217e-16
relative error = 2.5366973819241946417725932030241e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.883
y[1] (analytic) = 11845.527383508371391241590722861
y[1] (numeric) = 11845.527383508371390941105284097
absolute error = 3.00485438764e-16
relative error = 2.5366995409790117679212658158734e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.884
y[1] (analytic) = 11869.242145110986813943455599703
y[1] (numeric) = 11869.242145110986813642368332939
absolute error = 3.01087266764e-16
relative error = 2.5367016957187926307039892345299e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.885
y[1] (analytic) = 11893.004383698008338896145209304
y[1] (numeric) = 11893.004383698008338594454909679
absolute error = 3.01690299625e-16
relative error = 2.5367038461579418020527128530270e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.886
y[1] (analytic) = 11916.814194318421997174766456062
y[1] (numeric) = 11916.814194318421996872471916304
absolute error = 3.02294539758e-16
relative error = 2.5367059922955325564664131569363e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.887
y[1] (analytic) = 11940.67167221150201685234586153
y[1] (numeric) = 11940.671672211502016549445871949
absolute error = 3.02899989581e-16
relative error = 2.5367081341488778114241546343303e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.888
y[1] (analytic) = 11964.576912807191780223727572424
y[1] (numeric) = 11964.576912807191779920220920909
absolute error = 3.03506651515e-16
relative error = 2.5367102717198353298410933753680e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.889
y[1] (analytic) = 11988.530011726485543706342481477
y[1] (numeric) = 11988.53001172648554340222795349
absolute error = 3.04114527987e-16
relative error = 2.5367124050199047467865984090305e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.89
y[1] (analytic) = 12012.531064781810921944728573167
y[1] (numeric) = 12012.531064781810921640004951738
absolute error = 3.04723621429e-16
relative error = 2.5367145340617259336491327032682e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.891
y[1] (analytic) = 12036.580167977412137648739422391
y[1] (numeric) = 12036.580167977412137343405488114
absolute error = 3.05333934277e-16
relative error = 2.5367166588506785415624931485374e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.892
y[1] (analytic) = 12060.677417509734038698440709908
y[1] (numeric) = 12060.677417509734038392495240937
absolute error = 3.05945468971e-16
relative error = 2.5367187793848734269270083775812e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.893
y[1] (analytic) = 12084.822909767806884051763686172
y[1] (numeric) = 12084.822909767806883745205458212
absolute error = 3.06558227960e-16
relative error = 2.5367208956965186616096450216034e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=518.8MB, alloc=4.6MB, time=25.61
TOP MAIN SOLVE Loop
x[1] = 3.894
y[1] (analytic) = 12109.016741333631899994059727196
y[1] (numeric) = 12109.016741333631899686887513504
absolute error = 3.07172213692e-16
relative error = 2.5367230077689152881120301077452e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.895
y[1] (analytic) = 12133.259008982567608271781494772
y[1] (numeric) = 12133.259008982567607963994066148
absolute error = 3.07787428624e-16
relative error = 2.5367251156192821026361298955951e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.896
y[1] (analytic) = 12157.549809683716927655603750846
y[1] (numeric) = 12157.549809683716927347199875627
absolute error = 3.08403875219e-16
relative error = 2.5367272192736608560612206452219e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.897
y[1] (analytic) = 12181.889240600315050481390594673
y[1] (numeric) = 12181.889240600315050172369038734
absolute error = 3.09021555939e-16
relative error = 2.5367293187092844731020894030726e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.898
y[1] (analytic) = 12206.277399090118095720515803817
y[1] (numeric) = 12206.27739909011809541087533056
absolute error = 3.09640473257e-16
relative error = 2.5367314139532930825882599405136e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.899
y[1] (analytic) = 12230.714382705792540134149078434
y[1] (numeric) = 12230.714382705792539823888448786
absolute error = 3.10260629648e-16
relative error = 2.5367335050085705137559967127517e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.9
y[1] (analytic) = 12255.200289195305429069233325272
y[1] (numeric) = 12255.200289195305428758351297677
absolute error = 3.10882027595e-16
relative error = 2.5367355919028637400336669137045e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.901
y[1] (analytic) = 12279.735216502315368456996685537
y[1] (numeric) = 12279.735216502315368145492015957
absolute error = 3.11504669580e-16
relative error = 2.5367376746151622949047258824933e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.902
y[1] (analytic) = 12304.319262766564299577967822036
y[1] (numeric) = 12304.319262766564299265839263941
absolute error = 3.12128558095e-16
relative error = 2.5367397531655031488163850520816e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.903
y[1] (analytic) = 12328.952526324270058160594047988
y[1] (numeric) = 12328.952526324270057847840352352
absolute error = 3.12753695636e-16
relative error = 2.5367418275658149435911634031573e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.904
y[1] (analytic) = 12353.635105708519719383699215408
y[1] (numeric) = 12353.635105708519719070319130706
absolute error = 3.13380084702e-16
relative error = 2.5367438978118228080344498685832e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.905
y[1] (analytic) = 12378.36709964966373035616189736
y[1] (numeric) = 12378.36709964966373004215416956
absolute error = 3.14007727800e-16
relative error = 2.5367459639235222001159611009775e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.906
y[1] (analytic) = 12403.14860707571083165034430828
y[1] (numeric) = 12403.148607075710831335707680838
absolute error = 3.14636627442e-16
relative error = 2.5367480259206686047303744120706e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.907
y[1] (analytic) = 12427.979727112723769468958622666
y[1] (numeric) = 12427.979727112723769153691836525
absolute error = 3.15266786141e-16
relative error = 2.5367500837905130876590169652578e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.908
y[1] (analytic) = 12452.860559085215800028219887214
y[1] (numeric) = 12452.860559085215799712321680796
absolute error = 3.15898206418e-16
relative error = 2.5367521375442576042680852758142e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.909
y[1] (analytic) = 12477.791202516547987743303587678
y[1] (numeric) = 12477.791202516547987426772696878
absolute error = 3.16530890800e-16
relative error = 2.5367541872007071535866588919409e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.91
y[1] (analytic) = 12502.771757129327298805301142013
y[1] (numeric) = 12502.771757129327298488136300196
absolute error = 3.17164841817e-16
relative error = 2.5367562327621180910828462386104e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.911
y[1] (analytic) = 12527.802322845805491742048158428
y[1] (numeric) = 12527.802322845805491424248096424
absolute error = 3.17800062004e-16
relative error = 2.5367582742302465842208055903113e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.912
y[1] (analytic) = 12552.882999788278806558388233504
y[1] (numeric) = 12552.8829997882788062399516796
absolute error = 3.18436553904e-16
relative error = 2.5367603116301718036130548616961e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.913
y[1] (analytic) = 12578.013888279488454054629384348
y[1] (numeric) = 12578.013888279488453735555064288
absolute error = 3.19074320060e-16
relative error = 2.5367623449463792016689924646143e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.914
y[1] (analytic) = 12603.19508884302190692515092262
y[1] (numeric) = 12603.195088843021906605437559594
absolute error = 3.19713363026e-16
relative error = 2.5367643742103638902136616586704e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.915
y[1] (analytic) = 12628.426702203714994242325699874
y[1] (numeric) = 12628.426702203714993921972014517
absolute error = 3.20353685357e-16
relative error = 2.5367663994208945955798324402256e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.916
y[1] (analytic) = 12653.708829288054800934136196064
y[1] (numeric) = 12653.70882928805480061314090645
absolute error = 3.20995289614e-16
relative error = 2.5367684205837728366772061299488e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.917
y[1] (analytic) = 12679.041571224583373867082898866
y[1] (numeric) = 12679.041571224583373545444720503
absolute error = 3.21638178363e-16
relative error = 2.5367704377037950746832680340886e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.918
y[1] (analytic) = 12704.42502934430223614920984372
y[1] (numeric) = 12704.425029344302235826927489544
absolute error = 3.22282354176e-16
relative error = 2.5367724507925531851781068545088e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.919
y[1] (analytic) = 12729.859305181077711271305066048
y[1] (numeric) = 12729.859305181077710948377246419
absolute error = 3.22927819629e-16
relative error = 2.5367744598525746775170972415990e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.92
y[1] (analytic) = 12755.344500472047058707573070894
y[1] (numeric) = 12755.344500472047058383998493588
absolute error = 3.23574577306e-16
relative error = 2.5367764649086915787449925157393e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.921
y[1] (analytic) = 12780.880717158025422600322264166
y[1] (numeric) = 12780.880717158025422276099634374
absolute error = 3.24222629792e-16
relative error = 2.5367784659529675908541995879371e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.922
y[1] (analytic) = 12806.46805738391359515646262686
y[1] (numeric) = 12806.46805738391359483159064718
memory used=522.6MB, alloc=4.6MB, time=25.81
absolute error = 3.24871979680e-16
relative error = 2.5367804629996037237862722227550e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.923
y[1] (analytic) = 12832.106623499106596386867761911
y[1] (numeric) = 12832.106623499106596061345132343
absolute error = 3.25522629568e-16
relative error = 2.5367824560612579896407977817409e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.924
y[1] (analytic) = 12857.796518057903071822920815908
y[1] (numeric) = 12857.796518057903071496746233851
absolute error = 3.26174582057e-16
relative error = 2.5367844451334248738244164340948e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.925
y[1] (analytic) = 12883.537843819915509847835687724
y[1] (numeric) = 12883.537843819915509521007847968
absolute error = 3.26827839756e-16
relative error = 2.5367864302333348966187504496769e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.926
y[1] (analytic) = 12909.330703750481280283623396287
y[1] (numeric) = 12909.330703750481279956140991008
absolute error = 3.27482405279e-16
relative error = 2.5367884113764180315786869255905e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.927
y[1] (analytic) = 12935.175201021074495877858503423
y[1] (numeric) = 12935.17520102107449554972022218
absolute error = 3.28138281243e-16
relative error = 2.5367903885607786768015717422813e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.928
y[1] (analytic) = 12961.07143900971869833769208798
y[1] (numeric) = 12961.07143900971869800889661771
absolute error = 3.28795470270e-16
relative error = 2.5367923617827183307364896863989e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.929
y[1] (analytic) = 12987.019521301400370561855957535
y[1] (numeric) = 12987.019521301400370232401982544
absolute error = 3.29453974991e-16
relative error = 2.5367943310674730484665949798934e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.93
y[1] (analytic) = 13013.019551688483276724707577043
y[1] (numeric) = 13013.019551688483276394593779003
absolute error = 3.30113798040e-16
relative error = 2.5367962964227362493306202494266e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.931
y[1] (analytic) = 13039.071634171123631869676603072
y[1] (numeric) = 13039.071634171123631538901661017
absolute error = 3.30774942055e-16
relative error = 2.5367982578464216042818813463354e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.932
y[1] (analytic) = 13065.175872957686102672791950968
y[1] (numeric) = 13065.175872957686102341354541286
absolute error = 3.31437409682e-16
relative error = 2.5368002153572955507242154880545e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.933
y[1] (analytic) = 13091.332372465160641040293003712
y[1] (numeric) = 13091.332372465160640708191800143
absolute error = 3.32101203569e-16
relative error = 2.5368021689488565890716615436032e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.934
y[1] (analytic) = 13117.541237319580152207659908716
y[1] (numeric) = 13117.541237319580151874893582343
absolute error = 3.32766326373e-16
relative error = 2.5368041186428700040108814684182e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.935
y[1] (analytic) = 13143.802572356438999010735915546
y[1] (numeric) = 13143.802572356438998677303134793
absolute error = 3.33432780753e-16
relative error = 2.5368060644357480832760759697842e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.936
y[1] (analytic) = 13170.116482621112344002959397088
y[1] (numeric) = 13170.116482621112343668858827712
absolute error = 3.34100569376e-16
relative error = 2.5368080063442795929019354446158e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.937
y[1] (analytic) = 13196.483073369276331096074582187
y[1] (numeric) = 13196.483073369276330761304887275
absolute error = 3.34769694912e-16
relative error = 2.5368099443674568589397340001299e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.938
y[1] (analytic) = 13222.902450067329108405048122866
y[1] (numeric) = 13222.902450067329108069607962827
absolute error = 3.35440160039e-16
relative error = 2.5368118785243854474648731816148e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.939
y[1] (analytic) = 13249.374718392812693981283437138
y[1] (numeric) = 13249.374718392812693645171469699
absolute error = 3.36111967439e-16
relative error = 2.5368138088238125513046567950116e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.94
y[1] (analytic) = 13275.899984234835686121596322762
y[1] (numeric) = 13275.899984234835685784811202965
absolute error = 3.36785119797e-16
relative error = 2.5368157352566166437192820734571e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.941
y[1] (analytic) = 13302.478353694496819943793641466
y[1] (numeric) = 13302.478353694496819606334021659
absolute error = 3.37459619807e-16
relative error = 2.5368176578410093958415747396638e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.942
y[1] (analytic) = 13329.109933085309371923081940682
y[1] (numeric) = 13329.109933085309371584946470515
absolute error = 3.38135470167e-16
relative error = 2.5368195765846704803555755244715e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.943
y[1] (analytic) = 13355.794828933626414086924724306
y[1] (numeric) = 13355.794828933626413748112050726
absolute error = 3.38812673580e-16
relative error = 2.5368214914922588273021528609502e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.944
y[1] (analytic) = 13382.533147979066919569365718922
y[1] (numeric) = 13382.533147979066919229874486167
absolute error = 3.39491232755e-16
relative error = 2.5368234025728343018130346325413e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.945
y[1] (analytic) = 13409.324997174942721229240920917
y[1] (numeric) = 13409.324997174942720889069770509
absolute error = 3.40171150408e-16
relative error = 2.5368253098471904295371833802543e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.946
y[1] (analytic) = 13436.170483688686325040114466612
y[1] (numeric) = 13436.170483688686324699262037356
absolute error = 3.40852429256e-16
relative error = 2.5368272133030006143014940431160e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.947
y[1] (analytic) = 13463.069714902279579963192455582
y[1] (numeric) = 13463.069714902279579621657383558
absolute error = 3.41535072024e-16
relative error = 2.5368291129470616431758400615095e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.948
y[1] (analytic) = 13490.022798412683206017894790372
y[1] (numeric) = 13490.022798412683205675675708927
absolute error = 3.42219081445e-16
relative error = 2.5368310088050225136588188752629e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.949
y[1] (analytic) = 13517.02984203226718226819788759
y[1] (numeric) = 13517.029842032267181925293427337
absolute error = 3.42904460253e-16
relative error = 2.5368329008693286829841777446293e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.95
y[1] (analytic) = 13544.090953789241996446300779627
y[1] (numeric) = 13544.090953789241996102709568436
absolute error = 3.43591211191e-16
relative error = 2.5368347891585384753248773158254e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=526.4MB, alloc=4.6MB, time=26.02
x[1] = 3.951
y[1] (analytic) = 13571.206241928090757938613676636
y[1] (numeric) = 13571.20624192809075759433433963
absolute error = 3.44279337006e-16
relative error = 2.5368366736801391837869224561986e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.952
y[1] (analytic) = 13598.375814910002175862521508896
y[1] (numeric) = 13598.375814910002175517552668448
absolute error = 3.44968840448e-16
relative error = 2.5368385544232224876251632214204e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.953
y[1] (analytic) = 13625.599781413304403965835333916
y[1] (numeric) = 13625.599781413304403620175609639
absolute error = 3.45659724277e-16
relative error = 2.5368404314099611874942148220423e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.954
y[1] (analytic) = 13652.878250333899754084311784536
y[1] (numeric) = 13652.878250333899753737959793279
absolute error = 3.46351991257e-16
relative error = 2.5368423046512517591905038983280e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.955
y[1] (analytic) = 13680.211330785700279896094967727
y[1] (numeric) = 13680.21133078570027954904932357
absolute error = 3.47045644157e-16
relative error = 2.5368441741540553249855666406442e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.956
y[1] (analytic) = 13707.599132101064232715416412638
y[1] (numeric) = 13707.599132101064232367675726888
absolute error = 3.47740685750e-16
relative error = 2.5368460399140606850844507770050e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.957
y[1] (analytic) = 13735.04176383123339107137682463
y[1] (numeric) = 13735.041763831233390722939705812
absolute error = 3.48437118818e-16
relative error = 2.5368479019521192638857819129904e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.958
y[1] (analytic) = 13762.539335746771265821128543524
y[1] (numeric) = 13762.539335746771265471993597377
absolute error = 3.49134946147e-16
relative error = 2.5368497602775827774460259524009e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.959
y[1] (analytic) = 13790.09195783800218255027974307
y[1] (numeric) = 13790.091957838002182200445572544
absolute error = 3.49834170526e-16
relative error = 2.5368516148810850754157482940874e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.96
y[1] (analytic) = 13817.699740315451243016850558706
y[1] (numeric) = 13817.699740315451242666315763953
absolute error = 3.50534794753e-16
relative error = 2.5368534657780707008523187258823e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.961
y[1] (analytic) = 13845.362793610285167398627506031
y[1] (numeric) = 13845.362793610285167047390684401
absolute error = 3.51236821630e-16
relative error = 2.5368553129723536043030266305311e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.962
y[1] (analytic) = 13873.081228374754019107285767212
y[1] (numeric) = 13873.081228374754018755345513246
absolute error = 3.51940253966e-16
relative error = 2.5368571564777767035149426597038e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.963
y[1] (analytic) = 13900.855155482633813936179190773
y[1] (numeric) = 13900.855155482633813583534096198
absolute error = 3.52645094575e-16
relative error = 2.5368589963036433111582670196292e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.964
y[1] (analytic) = 13928.684686029670015312235186074
y[1] (numeric) = 13928.684686029670014958883839798
absolute error = 3.53351346276e-16
relative error = 2.5368608324546813063132657596264e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.965
y[1] (analytic) = 13956.56993133402191742593611139
y[1] (numeric) = 13956.569931334021917071877099497
absolute error = 3.54059011893e-16
relative error = 2.5368626649310078442377329043524e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.966
y[1] (analytic) = 13984.511002936707918016920268028
y[1] (numeric) = 13984.511002936707917662152173769
absolute error = 3.54768094259e-16
relative error = 2.5368644937566976746093388568437e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.967
y[1] (analytic) = 14012.508012602051682596294236562
y[1] (numeric) = 14012.508012602051682240815640354
absolute error = 3.55478596208e-16
relative error = 2.5368663189223713226142288933230e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.968
y[1] (analytic) = 14040.56107231812920189031403936
y[1] (numeric) = 14040.561072318129201534123518777
absolute error = 3.56190520583e-16
relative error = 2.5368681404424254879363759710286e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.969
y[1] (analytic) = 14068.670294297216744293665500166
y[1] (numeric) = 14068.670294297216743936761629935
absolute error = 3.56903870231e-16
relative error = 2.5368699583191753040233674139302e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.97
y[1] (analytic) = 14096.835790976239705124154211152
y[1] (numeric) = 14096.835790976239704766535563145
absolute error = 3.57618648007e-16
relative error = 2.5368717725712689917633802524622e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.971
y[1] (analytic) = 14125.057675017222354474202724653
y[1] (numeric) = 14125.057675017222354115867867885
absolute error = 3.58334856768e-16
relative error = 2.5368735831909662672505897831029e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.972
y[1] (analytic) = 14153.336059307738485458146975252
y[1] (numeric) = 14153.336059307738485099094475871
absolute error = 3.59052499381e-16
relative error = 2.5368753902008443654396199568575e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.973
y[1] (analytic) = 14181.671056961362964657925522242
y[1] (numeric) = 14181.671056961362964298153943528
absolute error = 3.59771578714e-16
relative error = 2.5368771935899526493852478105251e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.974
y[1] (analytic) = 14210.062781318124186573363997321
y[1] (numeric) = 14210.062781318124186212871899676
absolute error = 3.60492097645e-16
relative error = 2.5368789933774014220378664843181e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.975
y[1] (analytic) = 14238.511345944957433886873161896
y[1] (numeric) = 14238.511345944957433525659102839
absolute error = 3.61214059057e-16
relative error = 2.5368807895768653923844972457281e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.976
y[1] (analytic) = 14267.016864636159145356002237294
y[1] (numeric) = 14267.016864636159144994064771458
absolute error = 3.61937465836e-16
relative error = 2.5368825821825382363724265915755e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.977
y[1] (analytic) = 14295.579451413842093150919683776
y[1] (numeric) = 14295.5794514138420927882573629
absolute error = 3.62662320876e-16
relative error = 2.5368843712042218820682199221202e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.978
y[1] (analytic) = 14324.199220528391471457531385177
y[1] (numeric) = 14324.1992205283914710941427581
absolute error = 3.63388627077e-16
relative error = 2.5368861566531277963310686438258e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.979
y[1] (analytic) = 14352.876286458921898170591259766
y[1] (numeric) = 14352.876286458921897806474872421
absolute error = 3.64116387345e-16
relative error = 2.5368879385417818804293097352076e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=530.2MB, alloc=4.6MB, time=26.22
TOP MAIN SOLVE Loop
x[1] = 3.98
y[1] (analytic) = 14381.610763913735331504811679101
y[1] (numeric) = 14381.610763913735331139966074512
absolute error = 3.64845604589e-16
relative error = 2.5368897168630702867793206615635e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.981
y[1] (analytic) = 14410.40276783077990335564074989
y[1] (numeric) = 14410.402767830779902990064468162
absolute error = 3.65576281728e-16
relative error = 2.5368914916389305062199349983333e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.982
y[1] (analytic) = 14439.252413378109671245040513715
y[1] (numeric) = 14439.252413378109670878732092033
absolute error = 3.66308421682e-16
relative error = 2.5368932628576506984009557494134e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.983
y[1] (analytic) = 14468.159815954345290691274460776
y[1] (numeric) = 14468.159815954345290324232433394
absolute error = 3.67042027382e-16
relative error = 2.5368950305432416302503332877758e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.984
y[1] (analytic) = 14497.125091189135609845394450994
y[1] (numeric) = 14497.125091189135609477617349231
absolute error = 3.67777101763e-16
relative error = 2.5368967947067142043203274143278e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.985
y[1] (analytic) = 14526.148354943620188240806203904
y[1] (numeric) = 14526.148354943620187872292556141
absolute error = 3.68513647763e-16
relative error = 2.5368985553392435983421564910416e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.986
y[1] (analytic) = 14555.229723310892741505988972294
y[1] (numeric) = 14555.229723310892741136737303966
absolute error = 3.69251668328e-16
relative error = 2.5369003124466382636794378152229e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.987
y[1] (analytic) = 14584.369312616465513894148868378
y[1] (numeric) = 14584.369312616465513524157701967
absolute error = 3.69991166411e-16
relative error = 2.5369020660422567996581827213389e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.988
y[1] (analytic) = 14613.567239418734580487296580296
y[1] (numeric) = 14613.567239418734580116564435325
absolute error = 3.70732144971e-16
relative error = 2.5369038161400087047433327705701e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.989
y[1] (analytic) = 14642.82362050944608093595891564
y[1] (numeric) = 14642.823620509446080564484308669
absolute error = 3.71474606971e-16
relative error = 2.5369055627406091369252703761515e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.99
y[1] (analytic) = 14672.138572914163386599459752515
y[1] (numeric) = 14672.138572914163386227241197134
absolute error = 3.72218555381e-16
relative error = 2.5369073058520764511897055677924e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.991
y[1] (analytic) = 14701.51221389273520295543958213
y[1] (numeric) = 14701.512213892735202582475588954
absolute error = 3.72963993176e-16
relative error = 2.5369090454759745325531781994530e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.992
y[1] (analytic) = 14730.944660939764609151023905152
y[1] (numeric) = 14730.944660939764608777312981813
absolute error = 3.73710923339e-16
relative error = 2.5369107816277616123263997145166e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.993
y[1] (analytic) = 14760.436031785079036571799311865
y[1] (numeric) = 14760.436031785079036197339963007
absolute error = 3.74459348858e-16
relative error = 2.5369125143162461612644795475844e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.994
y[1] (analytic) = 14789.986444394201188308512148686
y[1] (numeric) = 14789.986444394201187933302875961
absolute error = 3.75209272725e-16
relative error = 2.5369142435368107353324764833770e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.995
y[1] (analytic) = 14819.59601696882090140516826573
y[1] (numeric) = 14819.59601696882090102920756779
absolute error = 3.75960697940e-16
relative error = 2.5369159692984564002324895283997e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.996
y[1] (analytic) = 14849.264867947267953775983466962
y[1] (numeric) = 14849.264867947267953399269839453
absolute error = 3.76713627509e-16
relative error = 2.5369176916101175481423509105186e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.997
y[1] (analytic) = 14878.993116004985817682412961154
y[1] (numeric) = 14878.993116004985817304944896708
absolute error = 3.77468064446e-16
relative error = 2.5369194104940233364608475320519e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.998
y[1] (analytic) = 14908.780880055006361665274353427
y[1] (numeric) = 14908.780880055006361287050341662
absolute error = 3.78224011765e-16
relative error = 2.5369211259318242256593363422956e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.999
y[1] (analytic) = 14938.62827924842550283077253883
y[1] (numeric) = 14938.628279248425502451791066338
absolute error = 3.78981472492e-16
relative error = 2.5369228379452444951181171405391e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4
y[1] (analytic) = 14968.535432974879811393036276224
y[1] (numeric) = 14968.535432974879811013295826567
absolute error = 3.79740449657e-16
relative error = 2.5369245465421565550895252299930e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.001
y[1] (analytic) = 14998.502460863024069379585248116
y[1] (numeric) = 14998.502460863024068999084301822
absolute error = 3.80500946294e-16
relative error = 2.5369262517166378210886801569345e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.002
y[1] (analytic) = 15028.529482781009785409963065052
y[1] (numeric) = 15028.529482781009785028700099606
absolute error = 3.81262965446e-16
relative error = 2.5369279534822976263999489268110e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.003
y[1] (analytic) = 15058.61661883696466746159596711
y[1] (numeric) = 15058.616618836964667079569456947
absolute error = 3.82026510163e-16
relative error = 2.5369296518587202614682174100074e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.004
y[1] (analytic) = 15088.763989379473055540768925234
y[1] (numeric) = 15088.763989379473055157977341736
absolute error = 3.82791583498e-16
relative error = 2.5369313468448143085416802502553e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.005
y[1] (analytic) = 15118.971714998057316180450466889
y[1] (numeric) = 15118.971714998057315796892278379
absolute error = 3.83558188510e-16
relative error = 2.5369330384387803888926751426487e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.006
y[1] (analytic) = 15149.239916523660200690544859198
y[1] (numeric) = 15149.239916523660200306218530932
absolute error = 3.84326328266e-16
relative error = 2.5369347266512396193213076906880e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.007
y[1] (analytic) = 15179.568715029128169090005293708
y[1] (numeric) = 15179.568715029128168704909287869
absolute error = 3.85096005839e-16
relative error = 2.5369364114918533564697179900394e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.008
y[1] (analytic) = 15209.95823182969568165410444567
y[1] (numeric) = 15209.958231829695681268237221363
absolute error = 3.85867224307e-16
relative error = 2.5369380929626770794019722149246e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=534.0MB, alloc=4.6MB, time=26.42
TOP MAIN SOLVE Loop
x[1] = 4.009
y[1] (analytic) = 15240.40858848347046001402924265
y[1] (numeric) = 15240.408588483470459627389255893
absolute error = 3.86639986757e-16
relative error = 2.5369397710844013601353676799438e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.01
y[1] (analytic) = 15270.91990679191971974984488784
y[1] (numeric) = 15270.919906791919719362430591564
absolute error = 3.87414296276e-16
relative error = 2.5369414458371494284485102800035e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.011
y[1] (analytic) = 15301.492308800357376421759158272
y[1] (numeric) = 15301.492308800357376033569002307
absolute error = 3.88190155965e-16
relative error = 2.5369431172522953153089748687632e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.012
y[1] (analytic) = 15332.125916798432226988511752556
y[1] (numeric) = 15332.12591679843222659954418363
absolute error = 3.88967568926e-16
relative error = 2.5369447853270827211294346292141e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.013
y[1] (analytic) = 15362.820853320617108565615012648
y[1] (numeric) = 15362.820853320617108175868474378
absolute error = 3.89746538270e-16
relative error = 2.5369464500769578533723284833494e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.014
y[1] (analytic) = 15393.577241146699036480081704796
y[1] (numeric) = 15393.577241146699036089554637685
absolute error = 3.90527067111e-16
relative error = 2.5369481114963297540154607870202e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.015
y[1] (analytic) = 15424.395203302270323582192732108
y[1] (numeric) = 15424.395203302270323190883573537
absolute error = 3.91309158571e-16
relative error = 2.5369497695911153821746332142344e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.016
y[1] (analytic) = 15455.27486305922068277878268063
y[1] (numeric) = 15455.274863059220682386689864851
absolute error = 3.92092815779e-16
relative error = 2.5369514243720739452029298101206e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.017
y[1] (analytic) = 15486.216343936230314756453988218
y[1] (numeric) = 15486.216343936230314363575946347
absolute error = 3.92878041871e-16
relative error = 2.5369530758546776439845465911203e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.018
y[1] (analytic) = 15517.219769699263982867071286502
y[1] (numeric) = 15517.219769699263982473406446516
absolute error = 3.93664839986e-16
relative error = 2.5369547240332057022449656641232e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.019
y[1] (analytic) = 15548.285264362066077151836116706
y[1] (numeric) = 15548.285264362066076757382903434
absolute error = 3.94453213272e-16
relative error = 2.5369563689194642859235852539311e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.02
y[1] (analytic) = 15579.412952186656669484198775682
y[1] (numeric) = 15579.4129521866566690889556108
absolute error = 3.95243164882e-16
relative error = 2.5369580105168560825715806286194e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.021
y[1] (analytic) = 15610.602957683828561815828525235
y[1] (numeric) = 15610.602957683828561419793827259
absolute error = 3.96034697976e-16
relative error = 2.5369596488331949401173669813540e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.022
y[1] (analytic) = 15641.855405613645329513835811336
y[1] (numeric) = 15641.855405613645329117007995615
absolute error = 3.96827815721e-16
relative error = 2.5369612838805810171078778684961e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.023
y[1] (analytic) = 15673.170420985940361781420506178
y[1] (numeric) = 15673.170420985940361383797984889
absolute error = 3.97622521289e-16
relative error = 2.5369629156625163439718185132797e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.024
y[1] (analytic) = 15704.54812906081690115810852105
y[1] (numeric) = 15704.548129060816900759689703192
absolute error = 3.98418817858e-16
relative error = 2.5369645441802771705890043597018e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.025
y[1] (analytic) = 15735.988655349149084099735457704
y[1] (numeric) = 15735.988655349149083700518749089
absolute error = 3.99216708615e-16
relative error = 2.5369661694519199934911142620000e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.026
y[1] (analytic) = 15767.492125613083984642340286184
y[1] (numeric) = 15767.492125613083984242324089435
absolute error = 4.00016196749e-16
relative error = 2.5369677914676380837258697929648e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.027
y[1] (analytic) = 15799.058665866544663158144374113
y[1] (numeric) = 15799.058665866544662757327088654
absolute error = 4.00817285459e-16
relative error = 2.5369694102405944004361064847548e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.028
y[1] (analytic) = 15830.688402375734222215811562059
y[1] (numeric) = 15830.688402375734221814191584109
absolute error = 4.01619977950e-16
relative error = 2.5369710257813444874122661609656e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.029
y[1] (analytic) = 15862.381461659640871561213398106
y[1] (numeric) = 15862.381461659640871158789120673
absolute error = 4.02424277433e-16
relative error = 2.5369726380977813478822017526683e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.03
y[1] (analytic) = 15894.137970490544004238960128112
y[1] (numeric) = 15894.137970490544003835729940988
absolute error = 4.03230187124e-16
relative error = 2.5369742471887893454679058533073e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.031
y[1] (analytic) = 15925.95805589452128587900260255
y[1] (numeric) = 15925.958055894521285474964892301
absolute error = 4.04037710249e-16
relative error = 2.5369758530756485216463664298373e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.032
y[1] (analytic) = 15957.841845151956759176662922438
y[1] (numeric) = 15957.841845151956758771816072404
absolute error = 4.04846850034e-16
relative error = 2.5369774557390651422214064347877e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.033
y[1] (analytic) = 15989.78946579804996559851242199
y[1] (numeric) = 15989.789465798049965192854812271
absolute error = 4.05657609719e-16
relative error = 2.5369790552070514051804537677490e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.034
y[1] (analytic) = 16021.801045623326086350584490289
y[1] (numeric) = 16021.801045623326085944114497743
absolute error = 4.06469992546e-16
relative error = 2.5369806514794750267332471830529e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.035
y[1] (analytic) = 16053.876712674147104649486785047
y[1] (numeric) = 16053.876712674147104242202783283
absolute error = 4.07284001764e-16
relative error = 2.5369822445594037626170553935001e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.036
y[1] (analytic) = 16086.016595253223991341062604448
y[1] (numeric) = 16086.016595253223990932962963818
absolute error = 4.08099640630e-16
relative error = 2.5369838344592093731748686761688e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=537.8MB, alloc=4.6MB, time=26.62
x[1] = 4.037
y[1] (analytic) = 16118.220821920129915915344574623
y[1] (numeric) = 16118.220821920129915506427662216
absolute error = 4.08916912407e-16
relative error = 2.5369854211879855854050681877736e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.038
y[1] (analytic) = 16150.489521491814484970645396858
y[1] (numeric) = 16150.489521491814484560909576496
absolute error = 4.09735820362e-16
relative error = 2.5369870047391161700309808998378e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.039
y[1] (analytic) = 16182.822823043119010183740196562
y[1] (numeric) = 16182.822823043119009773183828789
absolute error = 4.10556367773e-16
relative error = 2.5369885851336066106642803589638e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.04
y[1] (analytic) = 16215.220855907292807847213041721
y[1] (numeric) = 16215.220855907292807435834483801
absolute error = 4.11378557920e-16
relative error = 2.5369901623642243676432371333761e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.041
y[1] (analytic) = 16247.683749676510532039166468656
y[1] (numeric) = 16247.683749676510531626964074563
absolute error = 4.12202394093e-16
relative error = 2.5369917364449372734155786336341e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.042
y[1] (analytic) = 16280.211634202390543494627383674
y[1] (numeric) = 16280.211634202390543081599504086
absolute error = 4.13027879588e-16
relative error = 2.5369933073860516711312368882945e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.043
y[1] (analytic) = 16312.804639596514316252125517405
y[1] (numeric) = 16312.8046395965143158382704997
absolute error = 4.13855017705e-16
relative error = 2.5369948751819074755913723378382e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.044
y[1] (analytic) = 16345.462896230946884153071710691
y[1] (numeric) = 16345.462896230946883738387898937
absolute error = 4.14683811754e-16
relative error = 2.5369964398476640472813041200358e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.045
y[1] (analytic) = 16378.186534738758329275722723445
y[1] (numeric) = 16378.186534738758328860208458396
absolute error = 4.15514265049e-16
relative error = 2.5369980013823776855955368234681e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.046
y[1] (analytic) = 16410.975686014546314389686997682
y[1] (numeric) = 16410.975686014546313973340616769
absolute error = 4.16346380913e-16
relative error = 2.5369995597995486547451495777343e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.047
y[1] (analytic) = 16443.830481214959661521101889437
y[1] (numeric) = 16443.830481214959661103921726763
absolute error = 4.17180162674e-16
relative error = 2.5370011151025710393918097746753e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.048
y[1] (analytic) = 16476.751051759222978722797328397
y[1] (numeric) = 16476.75105175922297830478171473
absolute error = 4.18015613667e-16
relative error = 2.5370026672968908279166044544633e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.049
y[1] (analytic) = 16509.737529329662337147953685393
y[1] (numeric) = 16509.737529329662336729100948159
absolute error = 4.18852737234e-16
relative error = 2.5370042163899046235812929873084e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.05
y[1] (analytic) = 16542.790045872232000529962843293
y[1] (numeric) = 16542.790045872232000110271306569
absolute error = 4.19691536724e-16
relative error = 2.5370057623908592855815197669295e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.051
y[1] (analytic) = 16575.908733597042209175411093044
y[1] (numeric) = 16575.908733597042208754879077553
absolute error = 4.20532015491e-16
relative error = 2.5370073052986867910833540789965e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.052
y[1] (analytic) = 16609.093724978888020581320530514
y[1] (numeric) = 16609.093724978888020159946353615
absolute error = 4.21374176899e-16
relative error = 2.5370088451321302468309984386796e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.053
y[1] (analytic) = 16642.345152757779208792012128198
y[1] (numeric) = 16642.345152757779208369794103883
absolute error = 4.22218024315e-16
relative error = 2.5370103818874039826256959048707e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.054
y[1] (analytic) = 16675.663149939471224615188615808
y[1] (numeric) = 16675.663149939471224192125054694
absolute error = 4.23063561114e-16
relative error = 2.5370119155683210250253840710013e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.055
y[1] (analytic) = 16709.047849795997218821078741993
y[1] (numeric) = 16709.047849795997218397167951315
absolute error = 4.23910790678e-16
relative error = 2.5370134461801518988952485674848e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.056
y[1] (analytic) = 16742.49938586620113045273642315
y[1] (numeric) = 16742.499385866201130027976706752
absolute error = 4.24759716398e-16
relative error = 2.5370149737414749059445532136667e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.057
y[1] (analytic) = 16776.017891956271842379848731294
y[1] (numeric) = 16776.017891956271841954238389627
absolute error = 4.25610341667e-16
relative error = 2.5370164982422360817377256957641e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.058
y[1] (analytic) = 16809.603502140278406232675648445
y[1] (numeric) = 16809.603502140278405806212978554
absolute error = 4.26462669891e-16
relative error = 2.5370180197093926169164431673707e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.059
y[1] (analytic) = 16843.256350760706338857022036898
y[1] (numeric) = 16843.256350760706338429705332421
absolute error = 4.27316704477e-16
relative error = 2.5370195381352177279862171973110e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.06
y[1] (analytic) = 16876.976572428994992435428360352
y[1] (numeric) = 16876.976572428994992007255911512
absolute error = 4.28172448840e-16
relative error = 2.5370210535190420404369259599931e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.061
y[1] (analytic) = 16910.764302026076000424061357142
y[1] (numeric) = 16910.764302026075999995031450737
absolute error = 4.29029906405e-16
relative error = 2.5370225658789295210470427264679e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.062
y[1] (analytic) = 16944.619674702912801459089131056
y[1] (numeric) = 16944.619674702912801029200050455
absolute error = 4.29889080601e-16
relative error = 2.5370240752160002301814287637712e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.063
y[1] (analytic) = 16978.542825881041243390637004623
y[1] (numeric) = 16978.542825881041242959887029758
absolute error = 4.30749974865e-16
relative error = 2.5370255815380773601298637003012e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.064
y[1] (analytic) = 17012.533891253111269606740991486
y[1] (numeric) = 17012.533891253111269175128398846
absolute error = 4.31612592640e-16
relative error = 2.5370270848477835284229787936648e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.065
y[1] (analytic) = 17046.593006783429689814044905928
y[1] (numeric) = 17046.59300678342968938156796855
absolute error = 4.32476937378e-16
relative error = 2.5370285851601105846498467961087e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=541.7MB, alloc=4.6MB, time=26.83
x[1] = 4.066
y[1] (analytic) = 17080.720308708504037446324956028
y[1] (numeric) = 17080.720308708504037012981943494
absolute error = 4.33343012534e-16
relative error = 2.5370300824670879531768096337323e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.067
y[1] (analytic) = 17114.915933537587515876272179702
y[1] (numeric) = 17114.915933537587515442061358128
absolute error = 4.34210821574e-16
relative error = 2.5370315767846736227925277666787e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.068
y[1] (analytic) = 17149.180018053225035610318297337
y[1] (numeric) = 17149.180018053225035175237929367
absolute error = 4.35080367970e-16
relative error = 2.5370330681232788447252617438091e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.069
y[1] (analytic) = 17183.51269931180034465065448838
y[1] (numeric) = 17183.512699311800344214702833182
absolute error = 4.35951655198e-16
relative error = 2.5370345564761031839186311342527e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.07
y[1] (analytic) = 17217.91411464408425421296526947
y[1] (numeric) = 17217.914114644084253776140582726
absolute error = 4.36824686744e-16
relative error = 2.5370360418540728140300099867489e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.071
y[1] (analytic) = 17252.384401655783961992781076004
y[1] (numeric) = 17252.384401655783961555081609903
absolute error = 4.37699466101e-16
relative error = 2.5370375242681941376371635355668e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.072
y[1] (analytic) = 17286.923698228093475177743344984
y[1] (numeric) = 17286.923698228093474739167348217
absolute error = 4.38575996767e-16
relative error = 2.5370390037179024492609005273901e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.073
y[1] (analytic) = 17321.532142518245135407474882105
y[1] (numeric) = 17321.532142518245134968020599857
absolute error = 4.39454282248e-16
relative error = 2.5370404802084159139737226829411e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.074
y[1] (analytic) = 17356.209872960062247887156087932
y[1] (numeric) = 17356.209872960062247446821761874
absolute error = 4.40334326058e-16
relative error = 2.5370419537505971568086935726721e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.075
y[1] (analytic) = 17390.957028264512816865324234304
y[1] (numeric) = 17390.957028264512816424108102586
absolute error = 4.41216131718e-16
relative error = 2.5370434243550658894373868255149e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.076
y[1] (analytic) = 17425.77374742026438969083844048
y[1] (numeric) = 17425.773747420264389248738737726
absolute error = 4.42099702754e-16
relative error = 2.5370448920206429888313346389439e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.077
y[1] (analytic) = 17460.660169694240011668387316683
y[1] (numeric) = 17460.660169694240011225402273983
absolute error = 4.42985042700e-16
relative error = 2.5370463567515687618148701495320e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.078
y[1] (analytic) = 17495.616434632175293936359438342
y[1] (numeric) = 17495.616434632175293492487283244
absolute error = 4.43872155098e-16
relative error = 2.5370478185573681884464715316088e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.079
y[1] (analytic) = 17530.642682059176596595348905264
y[1] (numeric) = 17530.642682059176596150587861769
absolute error = 4.44761043495e-16
relative error = 2.5370492774356044032662619420726e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.08
y[1] (analytic) = 17565.739052080280329320029244022
y[1] (numeric) = 17565.739052080280328874377532573
absolute error = 4.45651711449e-16
relative error = 2.5370507334060745519732851497737e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.081
y[1] (analytic) = 17600.905685081013371691598846764
y[1] (numeric) = 17600.905685081013371245054684242
absolute error = 4.46544162522e-16
relative error = 2.5370521864707364260963859987257e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.082
y[1] (analytic) = 17636.142721727954615492480023469
y[1] (numeric) = 17636.142721727954615045041623187
absolute error = 4.47438400282e-16
relative error = 2.5370536366251455725825288880573e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.083
y[1] (analytic) = 17671.450302969297631209441595174
y[1] (numeric) = 17671.450302969297630761107166866
absolute error = 4.48334428308e-16
relative error = 2.5370550838867327346169914166557e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.084
y[1] (analytic) = 17706.828570035414460995811790858
y[1] (numeric) = 17706.828570035414460546579540675
absolute error = 4.49232250183e-16
relative error = 2.5370565282549720596598030212523e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.085
y[1] (analytic) = 17742.277664439420540347954048592
y[1] (numeric) = 17742.277664439420539897822179094
absolute error = 4.50131869498e-16
relative error = 2.5370579697340241454156847683954e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.086
y[1] (analytic) = 17777.797727977740750755693180062
y[1] (numeric) = 17777.79772797774075030465989021
absolute error = 4.51033289852e-16
relative error = 2.5370594083326085775182743222845e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.087
y[1] (analytic) = 17813.388902730676605590903254918
y[1] (numeric) = 17813.388902730676605138966740067
absolute error = 4.51936514851e-16
relative error = 2.5370608440582637987637146504514e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.088
y[1] (analytic) = 17849.051331062974571503001515548
y[1] (numeric) = 17849.051331062974571050159967441
absolute error = 4.52841548107e-16
relative error = 2.5370622769116753564360656983317e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.089
y[1] (analytic) = 17884.785155624395527594634662013
y[1] (numeric) = 17884.785155624395527140886268771
absolute error = 4.53748393242e-16
relative error = 2.5370637069090287748655562430879e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.09
y[1] (analytic) = 17920.590519350285364655394969162
y[1] (numeric) = 17920.590519350285364200737915279
absolute error = 4.54657053883e-16
relative error = 2.5370651340538731504042715927762e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.091
y[1] (analytic) = 17956.467565462146726735963931601
y[1] (numeric) = 17956.467565462146726280396397939
absolute error = 4.55567533662e-16
relative error = 2.5370665583371660769378724525554e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.092
y[1] (analytic) = 17992.41643746821189734965049541
y[1] (numeric) = 17992.416437468211896893170659187
absolute error = 4.56479836223e-16
relative error = 2.5370679797762239059653846702189e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.093
y[1] (analytic) = 18028.4372791640168325928694466
y[1] (numeric) = 18028.437279164016832135475481383
absolute error = 4.57393965217e-16
relative error = 2.5370693983866441535300374042264e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.094
y[1] (analytic) = 18064.530234632976343480693203604
y[1] (numeric) = 18064.530234632976343022383279308
absolute error = 4.58309924296e-16
relative error = 2.5370708141490270536812213182255e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=545.5MB, alloc=4.6MB, time=27.03
TOP MAIN SOLVE Loop
x[1] = 4.095
y[1] (analytic) = 18100.695448246960429798207122944
y[1] (numeric) = 18100.695448246960429338979405816
absolute error = 4.59227717128e-16
relative error = 2.5370722270921136351450222505870e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.096
y[1] (analytic) = 18136.933064666871767773004491889
y[1] (numeric) = 18136.933064666871767312857144508
absolute error = 4.60147347381e-16
relative error = 2.5370736372040071183772373167796e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.097
y[1] (analytic) = 18173.243228843224353878772668128
y[1] (numeric) = 18173.243228843224353417703849392
absolute error = 4.61068818736e-16
relative error = 2.5370750445040308099075715627309e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.098
y[1] (analytic) = 18209.626086016723307084546352272
y[1] (numeric) = 18209.626086016723306622554217395
absolute error = 4.61992134877e-16
relative error = 2.5370764489874200095338856578895e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.099
y[1] (analytic) = 18246.081781718845831868837763314
y[1] (numeric) = 18246.081781718845831405920463816
absolute error = 4.62917299498e-16
relative error = 2.5370778506638456112005708298232e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.1
y[1] (analytic) = 18282.610461772423344322496548152
y[1] (numeric) = 18282.610461772423343858652231851
absolute error = 4.63844316301e-16
relative error = 2.5370792495462500551306952527095e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.101
y[1] (analytic) = 18319.2122722922247636688046128
y[1] (numeric) = 18319.212272292224763204031423807
absolute error = 4.64773188993e-16
relative error = 2.5370806456343573400087080831012e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.102
y[1] (analytic) = 18355.887359685540971533972733382
y[1] (numeric) = 18355.887359685540971068268812094
absolute error = 4.65703921288e-16
relative error = 2.5370820389256195758819015712197e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.103
y[1] (analytic) = 18392.635870652770441305876808186
y[1] (numeric) = 18392.635870652770440839240291275
absolute error = 4.66636516911e-16
relative error = 2.5370834294369068553813892771226e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.104
y[1] (analytic) = 18429.457952188006039923551966537
y[1] (numeric) = 18429.457952188006039455980986945
absolute error = 4.67570979592e-16
relative error = 2.5370848171716761260593685591420e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.105
y[1] (analytic) = 18466.353751579623004444652474896
y[1] (numeric) = 18466.353751579623003976145161828
absolute error = 4.68507313068e-16
relative error = 2.5370862021308543529257900730480e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.106
y[1] (analytic) = 18503.323416410868095742784493978
y[1] (numeric) = 18503.323416410868095273338972894
absolute error = 4.69445521084e-16
relative error = 2.5370875843181874185049117418513e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.107
y[1] (analytic) = 18540.367094560449931691327261762
y[1] (numeric) = 18540.367094560449931220941654367
absolute error = 4.70385607395e-16
relative error = 2.5370889637509185266389082772927e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.108
y[1] (analytic) = 18577.484934203130502195076224786
y[1] (numeric) = 18577.484934203130501723748649026
absolute error = 4.71327575760e-16
relative error = 2.5370903404272753837903734537485e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.109
y[1] (analytic) = 18614.677083810317868435769032992
y[1] (numeric) = 18614.677083810317867963497603045
absolute error = 4.72271429947e-16
relative error = 2.5370917143534393295496669476679e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.11
y[1] (analytic) = 18651.943692150660048702292170486
y[1] (numeric) = 18651.943692150660048229074996755
absolute error = 4.73217173731e-16
relative error = 2.5370930855326625351347538448877e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.111
y[1] (analytic) = 18689.28490829064009318111233489
y[1] (numeric) = 18689.284908290640092706947523995
absolute error = 4.74164810895e-16
relative error = 2.5370944539705670065377501433059e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.112
y[1] (analytic) = 18726.700881595172350087232520444
y[1] (numeric) = 18726.700881595172349612118175214
absolute error = 4.75114345230e-16
relative error = 2.5370958196750401077016867891626e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.113
y[1] (analytic) = 18764.1917617281999255207381237
y[1] (numeric) = 18764.191761728199925044672343166
absolute error = 4.76065780534e-16
relative error = 2.5370971826508017331146699982938e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.114
y[1] (analytic) = 18801.757698653293339438773294614
y[1] (numeric) = 18801.757698653293338961754174001
absolute error = 4.77019120613e-16
relative error = 2.5370985429046736149689827754178e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.115
y[1] (analytic) = 18839.398842634250380137572219142
y[1] (numeric) = 18839.398842634250379659597849862
absolute error = 4.77974369280e-16
relative error = 2.5370999004401694392292236764365e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.116
y[1] (analytic) = 18877.115344235697159643964061276
y[1] (numeric) = 18877.11534423569715916503253092
absolute error = 4.78931530356e-16
relative error = 2.5371012552627443669237260621765e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.117
y[1] (analytic) = 18914.907354323690372420573931942
y[1] (numeric) = 18914.907354323690371940683324272
absolute error = 4.79890607670e-16
relative error = 2.5371026073796948248138935831651e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.118
y[1] (analytic) = 18952.77502406632075979375550858
y[1] (numeric) = 18952.775024066320759312903903522
absolute error = 4.80851605058e-16
relative error = 2.5371039567947829473433223266728e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.119
y[1] (analytic) = 18990.718504934317782518113821757
y[1] (numeric) = 18990.718504934317782036299295393
absolute error = 4.81814526364e-16
relative error = 2.5371053035134566490863699788464e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.12
y[1] (analytic) = 19028.737948701655503896309273129
y[1] (numeric) = 19028.737948701655503413529897689
absolute error = 4.82779375440e-16
relative error = 2.5371066475427519591158812696374e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.121
y[1] (analytic) = 19066.833507446159685877676171814
y[1] (numeric) = 19066.833507446159685393930015669
absolute error = 4.83746156145e-16
relative error = 2.5371079888859515542756084929637e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.122
y[1] (analytic) = 19105.005333550116100564040993116
y[1] (numeric) = 19105.00533355011610007932612077
absolute error = 4.84714872346e-16
relative error = 2.5371093275477755298475718827527e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.123
y[1] (analytic) = 19143.25357970088005955598719395
y[1] (numeric) = 19143.253579700880059070301666032
absolute error = 4.85685527918e-16
relative error = 2.5371106635342862334155135561370e-18 %
Correct digits = 19
memory used=549.3MB, alloc=4.6MB, time=27.23
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.124
y[1] (analytic) = 19181.578398891487163577684782737
y[1] (numeric) = 19181.578398891487163091026655993
absolute error = 4.86658126744e-16
relative error = 2.5371119968527939919663949420726e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.125
y[1] (analytic) = 19219.979944421265274823283957415
y[1] (numeric) = 19219.979944421265274335651284701
absolute error = 4.87632672714e-16
relative error = 2.5371133275065608079299529691419e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.126
y[1] (analytic) = 19258.458369896447714472763013112
y[1] (numeric) = 19258.458369896447713984153843385
absolute error = 4.88609169727e-16
relative error = 2.5371146555051448815018627198711e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.127
y[1] (analytic) = 19297.013829230787687830021400458
y[1] (numeric) = 19297.01382923078768734043377877
absolute error = 4.89587621688e-16
relative error = 2.5371159808487104582166348437075e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.128
y[1] (analytic) = 19335.646476646173939540919306156
y[1] (numeric) = 19335.646476646173939050351273645
absolute error = 4.90568032511e-16
relative error = 2.5371173035435560017058219423789e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.129
y[1] (analytic) = 19374.35646667324764135388544883
y[1] (numeric) = 19374.356466673247640862335042713
absolute error = 4.91550406117e-16
relative error = 2.5371186235916493057690964957157e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.13
y[1] (analytic) = 19413.143954152020514890644955111
y[1] (numeric) = 19413.143954152020514398110208674
absolute error = 4.92534746437e-16
relative error = 2.5371199410060432769935116789768e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.131
y[1] (analytic) = 19452.009094232494191899559223024
y[1] (numeric) = 19452.009094232494191406038165617
absolute error = 4.93521057407e-16
relative error = 2.5371212557849801529547380821215e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.132
y[1] (analytic) = 19490.952042375280814469019611859
y[1] (numeric) = 19490.952042375280813974510268885
absolute error = 4.94509342974e-16
relative error = 2.5371225679427417769383231094661e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.133
y[1] (analytic) = 19529.972954352224877683296639562
y[1] (numeric) = 19529.972954352224877187797032473
absolute error = 4.95499607089e-16
relative error = 2.5371238774735664107868227302092e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.134
y[1] (analytic) = 19569.071986247026317208216140174
y[1] (numeric) = 19569.071986247026316711724286459
absolute error = 4.96491853715e-16
relative error = 2.5371251843926485574226691759256e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.135
y[1] (analytic) = 19608.24929445586484429901355479
y[1] (numeric) = 19608.249294455864843801527467971
absolute error = 4.97486086819e-16
relative error = 2.5371264886950500043078515980376e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.136
y[1] (analytic) = 19647.505035688025530727707219928
y[1] (numeric) = 19647.505035688025530229224909548
absolute error = 4.98482310380e-16
relative error = 2.5371277903965373029099420867536e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.137
y[1] (analytic) = 19686.839366966525646132331196884
y[1] (numeric) = 19686.839366966525645632850668502
absolute error = 4.99480528382e-16
relative error = 2.5371290894977376973154536749168e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.138
y[1] (analytic) = 19726.252445628742750295377874811
y[1] (numeric) = 19726.252445628742749794897129994
absolute error = 5.00480744817e-16
relative error = 2.5371303859994172179037401920709e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.139
y[1] (analytic) = 19765.744429327044042863820298743
y[1] (numeric) = 19765.744429327044042362337335056
absolute error = 5.01482963687e-16
relative error = 2.5371316799125171061435226429093e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.14
y[1] (analytic) = 19805.315476029416973028113941776
y[1] (numeric) = 19805.315476029416972525626752776
absolute error = 5.02487189000e-16
relative error = 2.5371329712377748558220623312759e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.141
y[1] (analytic) = 19844.965744020101111682617478242
y[1] (numeric) = 19844.965744020101111179124053468
absolute error = 5.03493424774e-16
relative error = 2.5371342599859012777989619869342e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.142
y[1] (analytic) = 19884.695391900221288594922042041
y[1] (numeric) = 19884.695391900221288090420367007
absolute error = 5.04501675034e-16
relative error = 2.5371355461623131770353696093313e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.143
y[1] (analytic) = 19924.504578588421997116638491644
y[1] (numeric) = 19924.504578588421996611126547832
absolute error = 5.05511943812e-16
relative error = 2.5371368297671051321670791276777e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.144
y[1] (analytic) = 19964.393463321503068973262370776
y[1] (numeric) = 19964.393463321503068466738135628
absolute error = 5.06524235148e-16
relative error = 2.5371381108000306851580490285554e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.145
y[1] (analytic) = 20004.362205655056621675816571825
y[1] (numeric) = 20004.36220565505662116827801873
absolute error = 5.07538553095e-16
relative error = 2.5371393892854196119537842861268e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.146
y[1] (analytic) = 20044.410965464105281102062197775
y[1] (numeric) = 20044.410965464105280593507296069
absolute error = 5.08554901706e-16
relative error = 2.5371406652069957506171413783742e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.147
y[1] (analytic) = 20084.539902943741681800168798519
y[1] (numeric) = 20084.53990294374168129059551347
absolute error = 5.09573285049e-16
relative error = 2.5371419385828853128345885889424e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.148
y[1] (analytic) = 20124.749178609769247572846048857
y[1] (numeric) = 20124.74917860976924706225234166
absolute error = 5.10593707197e-16
relative error = 2.5371432094155031110326195437844e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.149
y[1] (analytic) = 20165.038953299344254905060059103
y[1] (numeric) = 20165.038953299344254393443886872
absolute error = 5.11616172231e-16
relative error = 2.5371444777065053446680767438688e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.15
y[1] (analytic) = 20205.409388171619181803588885246
y[1] (numeric) = 20205.409388171619181290948201005
absolute error = 5.12640684241e-16
relative error = 2.5371457434616655698612391179089e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.151
y[1] (analytic) = 20245.860644708387344621813454684
y[1] (numeric) = 20245.860644708387344108146207358
absolute error = 5.13667247326e-16
relative error = 2.5371470066907528186093522355568e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=553.1MB, alloc=4.6MB, time=27.43
x[1] = 4.152
y[1] (analytic) = 20286.392884714728825448292066206
y[1] (numeric) = 20286.392884714728824933596200615
absolute error = 5.14695865591e-16
relative error = 2.5371482673926225335574695578720e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.153
y[1] (analytic) = 20327.006270319657692642828879774
y[1] (numeric) = 20327.006270319657692127102336622
absolute error = 5.15726543152e-16
relative error = 2.5371495255798423402937878686663e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.154
y[1] (analytic) = 20367.700963976770517108919403315
y[1] (numeric) = 20367.700963976770516592160119184
absolute error = 5.16759284131e-16
relative error = 2.5371507812539257536138495438371e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.155
y[1] (analytic) = 20408.477128464896186896638931011
y[1] (numeric) = 20408.477128464896186378844838353
absolute error = 5.17794092658e-16
relative error = 2.5371520344151612728614045315318e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.156
y[1] (analytic) = 20449.334926888747022735233211061
y[1] (numeric) = 20449.334926888747022216402238188
absolute error = 5.18830972873e-16
relative error = 2.5371532850723241448693095509081e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.157
y[1] (analytic) = 20490.274522679571197099874341418
y[1] (numeric) = 20490.274522679571196580004412493
absolute error = 5.19869928925e-16
relative error = 2.5371545332376305220016676213196e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.158
y[1] (analytic) = 20531.296079595806459422259030427
y[1] (numeric) = 20531.29607959580645890134806546
absolute error = 5.20910964967e-16
relative error = 2.5371557789022689880410016597437e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.159
y[1] (analytic) = 20572.399761723735170059950936394
y[1] (numeric) = 20572.39976172373516953799685123
absolute error = 5.21954085164e-16
relative error = 2.5371570220754165049864864787512e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.16
y[1] (analytic) = 20613.585733478140645644603836824
y[1] (numeric) = 20613.585733478140645121604543134
absolute error = 5.22999293690e-16
relative error = 2.5371582627694248671518543782957e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.161
y[1] (analytic) = 20654.854159602964818434447895354
y[1] (numeric) = 20654.854159602964817910401300628
absolute error = 5.24046594726e-16
relative error = 2.5371595009900249803136997866298e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.162
y[1] (analytic) = 20696.205205171967212301677313201
y[1] (numeric) = 20696.205205171967211776581320742
absolute error = 5.25095992459e-16
relative error = 2.5371607367314800230761926074351e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.163
y[1] (analytic) = 20737.639035589385237990644193325
y[1] (numeric) = 20737.639035589385237464496702237
absolute error = 5.26147491088e-16
relative error = 2.5371619700055519935655715821387e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.164
y[1] (analytic) = 20779.155816590595810288040530449
y[1] (numeric) = 20779.155816590595809760839435631
absolute error = 5.27201094818e-16
relative error = 2.5371632008123713491086715594633e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.165
y[1] (analytic) = 20820.75571424277828975153788985
y[1] (numeric) = 20820.755714242778289223281081986
absolute error = 5.28256807864e-16
relative error = 2.5371644291596836492747765156626e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.166
y[1] (analytic) = 20862.438894945578751648652573378
y[1] (numeric) = 20862.438894945578751119337938929
absolute error = 5.29314634449e-16
relative error = 2.5371656550531061829730600233626e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.167
y[1] (analytic) = 20904.205525431775584762912913873
y[1] (numeric) = 20904.205525431775584232538335069
absolute error = 5.30374578804e-16
relative error = 2.5371668784960682349297876853851e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.168
y[1] (analytic) = 20946.055772767946422729724810104
y[1] (numeric) = 20946.055772767946422198288164935
absolute error = 5.31436645169e-16
relative error = 2.5371680994945262019198830616503e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.169
y[1] (analytic) = 20987.989804355136410569661734939
y[1] (numeric) = 20987.989804355136410037160897146
absolute error = 5.32500837793e-16
relative error = 2.5371693180568575234942405524558e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.17
y[1] (analytic) = 21030.007787929527809092246240923
y[1] (numeric) = 21030.007787929527808558679079991
absolute error = 5.33567160932e-16
relative error = 2.5371705341842453513717433780360e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.171
y[1] (analytic) = 21072.109891563110939848641471206
y[1] (numeric) = 21072.109891563110939314005852355
absolute error = 5.34635618851e-16
relative error = 2.5371717478801606175855806393933e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.172
y[1] (analytic) = 21114.296283664356473317033381168
y[1] (numeric) = 21114.296283664356472781327165344
absolute error = 5.35706215824e-16
relative error = 2.5371729591502584448536883638980e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.173
y[1] (analytic) = 21156.567132978889063009857308664
y[1] (numeric) = 21156.56713297888906247307835253
absolute error = 5.36778956134e-16
relative error = 2.5371741680022755005427426941647e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.174
y[1] (analytic) = 21198.92260859016232819740621997
y[1] (numeric) = 21198.922608590162327659552375898
absolute error = 5.37853844072e-16
relative error = 2.5371753744412110678891275556548e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.175
y[1] (analytic) = 21241.362879920135187947752425835
y[1] (numeric) = 21241.362879920135187408821541899
absolute error = 5.38930883936e-16
relative error = 2.5371765784645655999725775176699e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.176
y[1] (analytic) = 21283.888116729949549188319829122
y[1] (numeric) = 21283.888116729949548648309749087
absolute error = 5.40010080035e-16
relative error = 2.5371777800811283038986239296561e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.177
y[1] (analytic) = 21326.498489120609351499859853889
y[1] (numeric) = 21326.498489120609350958768417202
absolute error = 5.41091436687e-16
relative error = 2.5371789793014057727752563133138e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.178
y[1] (analytic) = 21369.19416753366097135901113722
y[1] (numeric) = 21369.194167533660970816836179004
absolute error = 5.42174958216e-16
relative error = 2.5371801761234848890451898947288e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.179
y[1] (analytic) = 21411.975322751874988551060861252
y[1] (numeric) = 21411.975322751874988007800212295
absolute error = 5.43260648957e-16
relative error = 2.5371813705564272079941883181877e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.18
y[1] (analytic) = 21454.842125899929317479974285456
y[1] (numeric) = 21454.842125899929316935625772203
absolute error = 5.44348513253e-16
relative error = 2.5371825626060958501745117844328e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=556.9MB, alloc=4.6MB, time=27.62
TOP MAIN SOLVE Loop
x[1] = 4.181
y[1] (analytic) = 21497.794748445093706108218630137
y[1] (numeric) = 21497.794748445093705562780074684
absolute error = 5.45438555453e-16
relative error = 2.5371837522658031231393193707489e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.182
y[1] (analytic) = 21540.833362197915605264377983124
y[1] (numeric) = 21540.833362197915604717847203204
absolute error = 5.46530779920e-16
relative error = 2.5371849395534937478349082090588e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.183
y[1] (analytic) = 21583.958139312907411062037374576
y[1] (numeric) = 21583.958139312907410514412183555
absolute error = 5.47625191021e-16
relative error = 2.5371861244650876524946871004862e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.184
y[1] (analytic) = 21627.169252289235083178906611798
y[1] (numeric) = 21627.169252289235082630184818662
absolute error = 5.48721793136e-16
relative error = 2.5371873070162329174994655377826e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.185
y[1] (analytic) = 21670.466873971408141750657908684
y[1] (numeric) = 21670.466873971408141200837318034
absolute error = 5.49820590650e-16
relative error = 2.5371884872051115613439289508359e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.186
y[1] (analytic) = 21713.851177549971045639465805165
y[1] (numeric) = 21713.851177549971045088544217208
absolute error = 5.50921587957e-16
relative error = 2.5371896650309541332147115952393e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.187
y[1] (analytic) = 21757.322336562195954842763372644
y[1] (numeric) = 21757.322336562195954290738583182
absolute error = 5.52024789462e-16
relative error = 2.5371908405031409271669404813965e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.188
y[1] (analytic) = 21800.880524892776879813265264123
y[1] (numeric) = 21800.880524892776879260135064544
absolute error = 5.53130199579e-16
relative error = 2.5371920136318459845426115392354e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.189
y[1] (analytic) = 21844.525916774525220466855814652
y[1] (numeric) = 21844.525916774525219912617991925
absolute error = 5.54237822727e-16
relative error = 2.5371931844096368756130309071139e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.19
y[1] (analytic) = 21888.25868678906669766049915105
y[1] (numeric) = 21888.258686789066697105151487711
absolute error = 5.55347663339e-16
relative error = 2.5371943528526874260038459182290e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.191
y[1] (analytic) = 21932.07900986753967992789815175
y[1] (numeric) = 21932.079009867539679371438425897
absolute error = 5.56459725853e-16
relative error = 2.5371955189594257134005677687599e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.192
y[1] (analytic) = 21975.98706129129490826621013054
y[1] (numeric) = 21975.987061291294907708636115822
absolute error = 5.57574014718e-16
relative error = 2.5371966827379325387312358908065e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.193
y[1] (analytic) = 22019.983016692596621772719324004
y[1] (numeric) = 22019.983016692596621214028789613
absolute error = 5.58690534391e-16
relative error = 2.5371978441921403770960791052155e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.194
y[1] (analytic) = 22064.067052055325086935969664205
y[1] (numeric) = 22064.067052055325086376160374868
absolute error = 5.59809289337e-16
relative error = 2.5371990033217938049152084390116e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.195
y[1] (analytic) = 22108.239343715680533391475937834
y[1] (numeric) = 22108.239343715680532830545653801
absolute error = 5.60930284033e-16
relative error = 2.5372001601405032896503913354893e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.196
y[1] (analytic) = 22152.500068362888498957757293255
y[1] (numeric) = 22152.500068362888498395703770294
absolute error = 5.62053522961e-16
relative error = 2.5372013146439268447167674744703e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.197
y[1] (analytic) = 22196.849403039906586774074180048
y[1] (numeric) = 22196.849403039906586210895169433
absolute error = 5.63179010615e-16
relative error = 2.5372024668414041458095123175693e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.198
y[1] (analytic) = 22241.287525144132637366898214326
y[1] (numeric) = 22241.287525144132636802591462829
absolute error = 5.64306751497e-16
relative error = 2.5372036167377547604984147424059e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.199
y[1] (analytic) = 22285.814612428114318477804179945
y[1] (numeric) = 22285.814612428114317912367429828
absolute error = 5.65436750117e-16
relative error = 2.5372047643332422382926908749002e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.2
y[1] (analytic) = 22330.430843000260135491144423298
y[1] (numeric) = 22330.430843000260134924575412302
absolute error = 5.66569010996e-16
relative error = 2.5372059096369733211015664438189e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.201
y[1] (analytic) = 22375.136395325551865305548300394
y[1] (numeric) = 22375.13639532555186473784476173
absolute error = 5.67703538664e-16
relative error = 2.5372070526577904023248687698137e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.202
y[1] (analytic) = 22419.931448226258416498983112134
y[1] (numeric) = 22419.931448226258415930142774477
absolute error = 5.68840337657e-16
relative error = 2.5372081933908121596249025752748e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.203
y[1] (analytic) = 22464.816180882651118642818139854
y[1] (numeric) = 22464.816180882651118072838727332
absolute error = 5.69979412522e-16
relative error = 2.5372093318397466337523644252569e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.204
y[1] (analytic) = 22509.790772833720443626049991097
y[1] (numeric) = 22509.790772833720443054929223279
absolute error = 5.71120767818e-16
relative error = 2.5372104680211674320678903182940e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.205
y[1] (analytic) = 22554.85540397789416185657550814
y[1] (numeric) = 22554.855403977894161284311100032
absolute error = 5.72264408108e-16
relative error = 2.5372116019288352778041980483595e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.206
y[1] (analytic) = 22600.01025457375693621213800193
y[1] (numeric) = 22600.010254573756935638727663963
absolute error = 5.73410337967e-16
relative error = 2.5372127335692427688696254732824e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.207
y[1] (analytic) = 22645.255505240771356619323574652
y[1] (numeric) = 22645.255505240771356044765012671
absolute error = 5.74558561981e-16
relative error = 2.5372138629569908037203438387632e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.208
y[1] (analytic) = 22690.5913369600004181447468083
y[1] (numeric) = 22690.59133696000041756903772356
absolute error = 5.75709084740e-16
relative error = 2.5372149900837768342150029638324e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.209
y[1] (analytic) = 22736.017931074831445488339147309
y[1] (numeric) = 22736.017931074831444911477236462
absolute error = 5.76861910847e-16
relative error = 2.5372161149581271611727325953400e-18 %
Correct digits = 19
h = 0.001
memory used=560.7MB, alloc=4.6MB, time=27.82
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.21
y[1] (analytic) = 22781.535469291701466774438913616
y[1] (numeric) = 22781.535469291701466196421868702
absolute error = 5.78017044914e-16
relative error = 2.5372172375875903700821927168650e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.211
y[1] (analytic) = 22827.144133680824039542179085686
y[1] (numeric) = 22827.144133680824038963004594126
absolute error = 5.79174491560e-16
relative error = 2.5372183579699045635463222229391e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.212
y[1] (analytic) = 22872.84410667691753184247777216
y[1] (numeric) = 22872.844106676917531262143516743
absolute error = 5.80334255417e-16
relative error = 2.5372194761192463510808967206767e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.213
y[1] (analytic) = 22918.635571079934861354756739112
y[1] (numeric) = 22918.63557107993486077326039799
absolute error = 5.81496341122e-16
relative error = 2.5372205920310799301094031874935e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.214
y[1] (analytic) = 22964.518710055794695442345430794
y[1] (numeric) = 22964.518710055794694859684677471
absolute error = 5.82660753323e-16
relative error = 2.5372217057083900230217492849556e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.215
y[1] (analytic) = 23010.493707137114115071371680408
y[1] (numeric) = 23010.493707137114114487544183729
absolute error = 5.83827496679e-16
relative error = 2.5372228171615262309020045513607e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.216
y[1] (analytic) = 23056.560746223942745523795763351
y[1] (numeric) = 23056.560746223942744938799187493
absolute error = 5.84996575858e-16
relative error = 2.5372239263993743218407349106534e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.217
y[1] (analytic) = 23102.720011584498356841111623914
y[1] (numeric) = 23102.72001158449835625494362838
absolute error = 5.86167995534e-16
relative error = 2.5372250334163042606867368327360e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.218
y[1] (analytic) = 23148.97168785590393694111803105
y[1] (numeric) = 23148.971687855903936353776270655
absolute error = 5.87341760395e-16
relative error = 2.5372261382267929402812344713297e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.219
y[1] (analytic) = 23195.315960044926240356053113036
y[1] (numeric) = 23195.315960044926239767535237902
absolute error = 5.88517875134e-16
relative error = 2.5372272408263419024855874525363e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.22
y[1] (analytic) = 23241.753013528715815546288208329
y[1] (numeric) = 23241.753013528715814956591863873
absolute error = 5.89696344456e-16
relative error = 2.5372283412217038367313197484768e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.221
y[1] (analytic) = 23288.283034055548513749691274068
y[1] (numeric) = 23288.283034055548513158814100992
absolute error = 5.90877173076e-16
relative error = 2.5372294394221016523737144435305e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.222
y[1] (analytic) = 23334.906207745568482332696238368
y[1] (numeric) = 23334.906207745568481740635872652
absolute error = 5.92060365716e-16
relative error = 2.5372305354262665573684713702988e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.223
y[1] (analytic) = 23381.622721091532645615052691346
y[1] (numeric) = 23381.622721091532645021806764236
absolute error = 5.93245927110e-16
relative error = 2.5372316292438461194704143337194e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.224
y[1] (analytic) = 23428.432760959556676146180206498
y[1] (numeric) = 23428.4327609595566755517463445
absolute error = 5.94433861998e-16
relative error = 2.5372327208696046556958440409172e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.225
y[1] (analytic) = 23475.336514589862459417013392503
y[1] (numeric) = 23475.336514589862458821389217369
absolute error = 5.95624175134e-16
relative error = 2.5372338103175691509292789263279e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.226
y[1] (analytic) = 23522.334169597527054997197519423
y[1] (numeric) = 23522.334169597527054400380648144
absolute error = 5.96816871279e-16
relative error = 2.5372348975909973819319025801134e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.227
y[1] (analytic) = 23569.42591397323315709348026672
y[1] (numeric) = 23569.425913973233156495468311517
absolute error = 5.98011955203e-16
relative error = 2.5372359826908898124367551478898e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.228
y[1] (analytic) = 23616.611936084021057531142827259
y[1] (numeric) = 23616.611936084021056931933395573
absolute error = 5.99209431686e-16
relative error = 2.5372370656201656214799133690397e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.229
y[1] (analytic) = 23663.892424674042114166323295644
y[1] (numeric) = 23663.892424674042113565913990125
absolute error = 6.00409305519e-16
relative error = 2.5372381463877886430196244568988e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.23
y[1] (analytic) = 23711.267568865313727743106994798
y[1] (numeric) = 23711.267568865313727141495413298
absolute error = 6.01611581500e-16
relative error = 2.5372392249917565464860495636458e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.231
y[1] (analytic) = 23758.737558158475830215292175801
y[1] (numeric) = 23758.73755815847582961247591136
absolute error = 6.02816264441e-16
relative error = 2.5372403014485921759417515330070e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.232
y[1] (analytic) = 23806.302582433548887558785386672
y[1] (numeric) = 23806.302582433548886954762027514
absolute error = 6.04023359158e-16
relative error = 2.5372413757510721798350282122843e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.233
y[1] (analytic) = 23853.962831950693420106638770381
y[1] (numeric) = 23853.962831950693419501405899901
absolute error = 6.05232870480e-16
relative error = 2.5372424479061124558503508508984e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.234
y[1] (analytic) = 23901.718497350971043444811644904
y[1] (numeric) = 23901.718497350971042838366841658
absolute error = 6.06444803246e-16
relative error = 2.5372435179219950878765189202721e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.235
y[1] (analytic) = 23949.569769657107032912820963107
y[1] (numeric) = 23949.569769657107032305161800805
absolute error = 6.07659162302e-16
relative error = 2.5372445857957473999437687778264e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.236
y[1] (analytic) = 23997.51684027425441475953967181
y[1] (numeric) = 23997.516840274254414150663719303
absolute error = 6.08875952507e-16
relative error = 2.5372456515381759464883121893747e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.237
y[1] (analytic) = 24045.559900990759587010508612004
y[1] (numeric) = 24045.559900990759586400413433276
absolute error = 6.10095178728e-16
relative error = 2.5372467151528544150203542724166e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=564.6MB, alloc=4.6MB, time=28.03
x[1] = 4.238
y[1] (analytic) = 24093.69914397892947310924645031
y[1] (numeric) = 24093.699143978929472497929604468
absolute error = 6.11316845842e-16
relative error = 2.5372477766444156752647417724695e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.239
y[1] (analytic) = 24141.93476179580021140117322978
y[1] (numeric) = 24141.934761795800210788632271046
absolute error = 6.12540958734e-16
relative error = 2.5372488360101760130808813935866e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.24
y[1] (analytic) = 24190.266947383907383534906500663
y[1] (numeric) = 24190.266947383907382921138978362
absolute error = 6.13767522301e-16
relative error = 2.5372498932566629121831829337836e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.241
y[1] (analytic) = 24238.695894072057784861844663286
y[1] (numeric) = 24238.695894072057784246848121835
absolute error = 6.14996541451e-16
relative error = 2.5372509483953168044569559434319e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.242
y[1] (analytic) = 24287.221795576102739921120150406
y[1] (numeric) = 24287.221795576102739304892129308
absolute error = 6.16228021098e-16
relative error = 2.5372520014217740695734676605531e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.243
y[1] (analytic) = 24335.84484599971296610318541995
y[1] (numeric) = 24335.84484599971296548572345378
absolute error = 6.17461966170e-16
relative error = 2.5372530523488170778269113052774e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.244
y[1] (analytic) = 24384.565239835154988591487445618
y[1] (numeric) = 24384.565239835154987972789064016
absolute error = 6.18698381602e-16
relative error = 2.5372541011774156889276114219612e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.245
y[1] (analytic) = 24433.383171964069109687891507279
y[1] (numeric) = 24433.383171964069109067954234941
absolute error = 6.19937272338e-16
relative error = 2.5372551479049495682510227754412e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.246
y[1] (analytic) = 24482.298837658248935633732620156
y[1] (numeric) = 24482.298837658248935012553976821
absolute error = 6.21178643335e-16
relative error = 2.5372561925415016455805162665979e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.247
y[1] (analytic) = 24531.312432580422464044602926348
y[1] (numeric) = 24531.312432580422463422180426789
absolute error = 6.22422499559e-16
relative error = 2.5372572350933449194795255614170e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.248
y[1] (analytic) = 24580.424152785034735083225829316
y[1] (numeric) = 24580.424152785034734459556983331
absolute error = 6.23668845985e-16
relative error = 2.5372582755628994128109851201993e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.249
y[1] (analytic) = 24629.63419471903204950102260635
y[1] (numeric) = 24629.634194719032048876104918752
absolute error = 6.24917687598e-16
relative error = 2.5372593139527498593174191300378e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.25
y[1] (analytic) = 24678.942755222647756685244710916
y[1] (numeric) = 24678.942755222647756059075681521
absolute error = 6.26169029395e-16
relative error = 2.5372603502736673321841071610102e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.251
y[1] (analytic) = 24728.350031530189615854825001113
y[1] (numeric) = 24728.350031530189615227402124735
absolute error = 6.27422876378e-16
relative error = 2.5372613845161390647261056963216e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.252
y[1] (analytic) = 24777.856221270828733554393727492
y[1] (numeric) = 24777.856221270828732925714493928
absolute error = 6.28679233564e-16
relative error = 2.5372624166908485683472744153480e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.253
y[1] (analytic) = 24827.461522469390080602210308179
y[1] (numeric) = 24827.461522469390079972272202199
absolute error = 6.29938105980e-16
relative error = 2.5372634468082545562063214239776e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.254
y[1] (analytic) = 24877.166133547144591654079737078
y[1] (numeric) = 24877.166133547144591022880238419
absolute error = 6.31199498659e-16
relative error = 2.5372644748624330564132343089445e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.255
y[1] (analytic) = 24926.97025332260285055165293695
y[1] (numeric) = 24926.970253322602849919189520301
absolute error = 6.32463416649e-16
relative error = 2.5372655008672654236513984873992e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.256
y[1] (analytic) = 24976.874081012310364629853508802
y[1] (numeric) = 24976.874081012310363996123643798
absolute error = 6.33729865004e-16
relative error = 2.5372665248201266825258469774078e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.257
y[1] (analytic) = 25026.877816231644431164529167679
y[1] (numeric) = 25026.877816231644430529530318888
absolute error = 6.34998848791e-16
relative error = 2.5372675467299390959085794271663e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.258
y[1] (analytic) = 25076.981658995612599147794717934
y[1] (numeric) = 25076.98165899561259851152434485
absolute error = 6.36270373084e-16
relative error = 2.5372685665930498822586128534810e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.259
y[1] (analytic) = 25127.185809719652729584914733982
y[1] (numeric) = 25127.185809719652728947370291011
absolute error = 6.37544442971e-16
relative error = 2.5372695844211340514737763497298e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.26
y[1] (analytic) = 25177.4904692204346575129682008
y[1] (numeric) = 25177.490469220434656874147137251
absolute error = 6.38821063549e-16
relative error = 2.5372706002211017111128168722736e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.261
y[1] (analytic) = 25227.895838716663458947944257718
y[1] (numeric) = 25227.895838716663458307844017798
absolute error = 6.40100239920e-16
relative error = 2.5372716139792090316793398066395e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.262
y[1] (analytic) = 25278.402119829884325973337904931
y[1] (numeric) = 25278.402119829884325331955927725
absolute error = 6.41381977206e-16
relative error = 2.5372726257205227908176755230032e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.263
y[1] (analytic) = 25329.009514585289053189747100228
y[1] (numeric) = 25329.009514585289052547080819697
absolute error = 6.42666280531e-16
relative error = 2.5372736354373877359913389219788e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.264
y[1] (analytic) = 25379.718225412524138751418119705
y[1] (numeric) = 25379.718225412524138107464964671
absolute error = 6.43953155034e-16
relative error = 2.5372746431408937741688616025499e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.265
y[1] (analytic) = 25430.528455146500503222144406061
y[1] (numeric) = 25430.528455146500502576901800201
absolute error = 6.45242605860e-16
relative error = 2.5372756488252177707501679459488e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.266
y[1] (analytic) = 25481.44040702820482948939540773
y[1] (numeric) = 25481.440407028204828842860769561
absolute error = 6.46534638169e-16
relative error = 2.5372766525030311856753399914482e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=568.4MB, alloc=4.6MB, time=28.23
TOP MAIN SOLVE Loop
x[1] = 4.267
y[1] (analytic) = 25532.454284705512526982036147133
y[1] (numeric) = 25532.454284705512526334206890004
absolute error = 6.47829257129e-16
relative error = 2.5372776541778187495822152225457e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.268
y[1] (analytic) = 25583.570292234002323443495472886
y[1] (numeric) = 25583.570292234002322794369004968
absolute error = 6.49126467918e-16
relative error = 2.5372786538517065434994727269504e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.269
y[1] (analytic) = 25634.788634077772487518751174763
y[1] (numeric) = 25634.78863407777248686832489904
absolute error = 6.50426275723e-16
relative error = 2.5372796515214937757762385026566e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.27
y[1] (analytic) = 25686.109515110258685420023397653
y[1] (numeric) = 25686.109515110258684768294711907
absolute error = 6.51728685746e-16
relative error = 2.5372806472019841332245383857557e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.271
y[1] (analytic) = 25737.533140615053474942604107742
y[1] (numeric) = 25737.533140615053474289570404547
absolute error = 6.53033703195e-16
relative error = 2.5372816408907569495940459578350e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.272
y[1] (analytic) = 25789.059716286727440108799766928
y[1] (numeric) = 25789.059716286727439454458433636
absolute error = 6.54341333292e-16
relative error = 2.5372826325992788843066593200253e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.273
y[1] (analytic) = 25840.689448231651969724526886053
y[1] (numeric) = 25840.689448231651969068875304787
absolute error = 6.55651581266e-16
relative error = 2.5372836223255955152461957344707e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.274
y[1] (analytic) = 25892.4225429688236831396757804
y[1] (numeric) = 25892.422542968823682482711328042
absolute error = 6.56964452358e-16
relative error = 2.5372846100736949181097133811794e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.275
y[1] (analytic) = 25944.259207430690506509946668126
y[1] (numeric) = 25944.259207430690505851666716306
absolute error = 6.58279951820e-16
relative error = 2.5372855958495132522657108103507e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.276
y[1] (analytic) = 25996.199648963979402864464260418
y[1] (numeric) = 25996.199648963979402204866175506
absolute error = 6.59598084912e-16
relative error = 2.5372865796492942828030728301705e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.277
y[1] (analytic) = 26048.244075330525759290092217476
y[1] (numeric) = 26048.244075330525758629173360567
absolute error = 6.60918856909e-16
relative error = 2.5372875614864784739699340044313e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.278
y[1] (analytic) = 26100.392694708104434549997313412
y[1] (numeric) = 26100.392694708104433887755040318
absolute error = 6.62242273094e-16
relative error = 2.5372885413646311145469699045254e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.279
y[1] (analytic) = 26152.64571569126247046065489241
y[1] (numeric) = 26152.64571569126246979708655365
absolute error = 6.63568338760e-16
relative error = 2.5372895192851071350440251003529e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.28
y[1] (analytic) = 26205.00334729215347035814223443
y[1] (numeric) = 26205.003347292153469693245175219
absolute error = 6.64897059211e-16
relative error = 2.5372904952508084019099418326707e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.281
y[1] (analytic) = 26257.465798941373647991234808148
y[1] (numeric) = 26257.465798941373647325006368387
absolute error = 6.66228439761e-16
relative error = 2.5372914692622790586320819451494e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.282
y[1] (analytic) = 26310.033280488799550185502098244
y[1] (numeric) = 26310.033280488799549517939612506
absolute error = 6.67562485738e-16
relative error = 2.5372924413328515788174414531311e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.283
y[1] (analytic) = 26362.706002204427456629294780374
y[1] (numeric) = 26362.706002204427455960395577899
absolute error = 6.68899202475e-16
relative error = 2.5372934114542991428218913710990e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.284
y[1] (analytic) = 26415.484174779214460139223507005
y[1] (numeric) = 26415.484174779214459468984911683
absolute error = 6.70238595322e-16
relative error = 2.5372943796423976737271014172297e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.285
y[1] (analytic) = 26468.368009325921230769451487428
y[1] (numeric) = 26468.368009325921230097870817793
absolute error = 6.71580669635e-16
relative error = 2.5372953458950466256546253869534e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.286
y[1] (analytic) = 26521.35771737995646713585842284
y[1] (numeric) = 26521.357717379956466462932992057
absolute error = 6.72925430783e-16
relative error = 2.5372963102187600517968018650142e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.287
y[1] (analytic) = 26574.453510900223038332882219066
y[1] (numeric) = 26574.453510900223037658609334922
absolute error = 6.74272884144e-16
relative error = 2.5372972726134478669132258146314e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.288
y[1] (analytic) = 26627.655602269965819827607272485
y[1] (numeric) = 26627.655602269965819151984237377
absolute error = 6.75623035108e-16
relative error = 2.5372982330836673333040665328445e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.289
y[1] (analytic) = 26680.964204297621226722444035959
y[1] (numeric) = 26680.964204297621226045468146882
absolute error = 6.76975889077e-16
relative error = 2.5372991916384959257007923845028e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.29
y[1] (analytic) = 26734.379530217668447784534048192
y[1] (numeric) = 26734.379530217668447106202596731
absolute error = 6.78331451461e-16
relative error = 2.5373001482764432728602472454429e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.291
y[1] (analytic) = 26787.901793691482383646817679127
y[1] (numeric) = 26787.901793691482382967127951443
absolute error = 6.79689727684e-16
relative error = 2.5373011030078738270691111954533e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.292
y[1] (analytic) = 26841.531208808188292592518532886
y[1] (numeric) = 26841.531208808188291911467809709
absolute error = 6.81050723177e-16
relative error = 2.5373020558287287923826961929088e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.293
y[1] (analytic) = 26895.267990085518147341628785742
y[1] (numeric) = 26895.267990085518146659214342357
absolute error = 6.82414443385e-16
relative error = 2.5373030067466159703292357920261e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.294
y[1] (analytic) = 26949.112352470668706264823746852
y[1] (numeric) = 26949.11235247066870558104285309
absolute error = 6.83780893762e-16
relative error = 2.5373039557620591729143440109965e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.295
y[1] (analytic) = 27003.064511341161302457091641516
y[1] (numeric) = 27003.064511341161301771941561741
absolute error = 6.85150079775e-16
relative error = 2.5373049028833011091346782649792e-18 %
Correct digits = 19
h = 0.001
memory used=572.2MB, alloc=4.6MB, time=28.44
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.296
y[1] (analytic) = 27057.124682505703354110236057861
y[1] (numeric) = 27057.124682505703353423714050962
absolute error = 6.86522006899e-16
relative error = 2.5373058481076661182755470770903e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.297
y[1] (analytic) = 27111.293082205051599630293695652
y[1] (numeric) = 27111.293082205051598942397015027
absolute error = 6.87896680625e-16
relative error = 2.5373067914510962013014376043340e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.298
y[1] (analytic) = 27165.569927112877060952809037856
y[1] (numeric) = 27165.569927112877060263534931408
absolute error = 6.89274106448e-16
relative error = 2.5373077329037108612978813619556e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.299
y[1] (analytic) = 27219.95543433663173851582035938
y[1] (numeric) = 27219.9554343366317378251660695
absolute error = 6.90654289880e-16
relative error = 2.5373086724777427999088232895030e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.3
y[1] (analytic) = 27274.44982141841704135733812048
y[1] (numeric) = 27274.449821418417040665300884039
absolute error = 6.92037236441e-16
relative error = 2.5373096101742387707576905872552e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.301
y[1] (analytic) = 27329.053306335853955811037292694
y[1] (numeric) = 27329.05330633585395511761434103
absolute error = 6.93422951664e-16
relative error = 2.5373105460013856733191726648748e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.302
y[1] (analytic) = 27383.76610750295495628083956027
y[1] (numeric) = 27383.766107502954955586028119181
absolute error = 6.94811441089e-16
relative error = 2.5373114799524476750428609099137e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.303
y[1] (analytic) = 27438.588443770997661582029657988
y[1] (numeric) = 27438.588443770997660885826947716
absolute error = 6.96202710272e-16
relative error = 2.5373124120386347697811545646017e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.304
y[1] (analytic) = 27493.520534429400240343532374694
y[1] (numeric) = 27493.520534429400239645935609915
absolute error = 6.97596764779e-16
relative error = 2.5373133422670197293913312959320e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.305
y[1] (analytic) = 27548.562599206598568972972998872
y[1] (numeric) = 27548.562599206598568273979388688
absolute error = 6.98993610184e-16
relative error = 2.5373142706332383662473086197100e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.306
y[1] (analytic) = 27603.714858270925145693154236048
y[1] (numeric) = 27603.714858270925144992760983974
absolute error = 7.00393252074e-16
relative error = 2.5373151971396362954904382846277e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.307
y[1] (analytic) = 27658.977532231489764165606915808
y[1] (numeric) = 27658.977532231489763463811219758
absolute error = 7.01795696050e-16
relative error = 2.5373161217987368257482273028858e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.308
y[1] (analytic) = 27714.350842139061950223910156859
y[1] (numeric) = 27714.350842139061949520709209137
absolute error = 7.03200947722e-16
relative error = 2.5373170446150172808525156520850e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.309
y[1] (analytic) = 27769.835009486955165246529100014
y[1] (numeric) = 27769.835009486955164541920087306
absolute error = 7.04609012708e-16
relative error = 2.5373179655813071349021556424294e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.31
y[1] (analytic) = 27825.430256211912779705984879382
y[1] (numeric) = 27825.430256211912778999964982738
absolute error = 7.06019896644e-16
relative error = 2.5373188847147618281248691370424e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.311
y[1] (analytic) = 27881.136804694995820438252209726
y[1] (numeric) = 27881.136804694995819730818604557
absolute error = 7.07433605169e-16
relative error = 2.5373198020027395057464774672302e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.312
y[1] (analytic) = 27936.954877762472495183374851277
y[1] (numeric) = 27936.954877762472494474524707335
absolute error = 7.08850143942e-16
relative error = 2.5373207174638685923190515962852e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.313
y[1] (analytic) = 27992.884698686709497955398300456
y[1] (numeric) = 27992.884698686709497245128781829
absolute error = 7.10269518627e-16
relative error = 2.5373216310940701441444567892591e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.314
y[1] (analytic) = 28048.926491187065098806842374679
y[1] (numeric) = 28048.926491187065098095150639777
absolute error = 7.11691734902e-16
relative error = 2.5373225428987900265593736549167e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.315
y[1] (analytic) = 28105.080479430784021560073939902
y[1] (numeric) = 28105.080479430784020846957141447
absolute error = 7.13116798455e-16
relative error = 2.5373234528785909049227123489463e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.316
y[1] (analytic) = 28161.346888033894113085091899572
y[1] (numeric) = 28161.346888033894112370547184584
absolute error = 7.14544714988e-16
relative error = 2.5373243610433239602503929438506e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.317
y[1] (analytic) = 28217.725942062104807710402751682
y[1] (numeric) = 28217.72594206210480699442726147
absolute error = 7.15975490212e-16
relative error = 2.5373252673942359994223284574728e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.318
y[1] (analytic) = 28274.21786703170739036084555539
y[1] (numeric) = 28274.217867031707389643436425539
absolute error = 7.17409129851e-16
relative error = 2.5373261719381214672803231270033e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.319
y[1] (analytic) = 28330.822888910477062023420058843
y[1] (numeric) = 28330.822888910477061304574419206
absolute error = 7.18845639637e-16
relative error = 2.5373270746695376361869408331573e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.32
y[1] (analytic) = 28387.541234118576811149381054288
y[1] (numeric) = 28387.541234118576810429096028971
absolute error = 7.20285025317e-16
relative error = 2.5373279755955045718988376164576e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.321
y[1] (analytic) = 28444.373129529463094608085773993
y[1] (numeric) = 28444.373129529463093886358481343
absolute error = 7.21727292650e-16
relative error = 2.5373288747247532284313882994354e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.322
y[1] (analytic) = 28501.318802470793331815319349948
y[1] (numeric) = 28501.318802470793331092146902544
absolute error = 7.23172447404e-16
relative error = 2.5373297720571015302837435482960e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.323
y[1] (analytic) = 28558.378480725335215666076060651
y[1] (numeric) = 28558.378480725335214941455565291
absolute error = 7.24620495360e-16
relative error = 2.5373306675974687451163032999576e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=576.0MB, alloc=4.6MB, time=28.64
x[1] = 4.324
y[1] (analytic) = 28615.552392531877843909041308498
y[1] (numeric) = 28615.552392531877843182969866189
absolute error = 7.26071442309e-16
relative error = 2.5373315613452600010136935793655e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.325
y[1] (analytic) = 28672.840766586144674607301040569
y[1] (numeric) = 28672.840766586144673879775746513
absolute error = 7.27525294056e-16
relative error = 2.5373324533082909422517687532919e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.326
y[1] (analytic) = 28730.243832041708309337101672903
y[1] (numeric) = 28730.243832041708308608119616486
absolute error = 7.28982056417e-16
relative error = 2.5373333434921810557092624419687e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.327
y[1] (analytic) = 28787.761818510907107783794533026
y[1] (numeric) = 28787.761818510907107053352797808
absolute error = 7.30441735218e-16
relative error = 2.5373342318968208821276964832638e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.328
y[1] (analytic) = 28845.394956065763637401424426653
y[1] (numeric) = 28845.394956065763636669520090356
absolute error = 7.31904336297e-16
relative error = 2.5373351185232818211823389749076e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.329
y[1] (analytic) = 28903.14347523890496180976219153
y[1] (numeric) = 28903.143475238904961076392326024
absolute error = 7.33369865506e-16
relative error = 2.5373360033806432827463869061265e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.33
y[1] (analytic) = 28961.007607024484771609936053583
y[1] (numeric) = 28961.007607024484770875097724876
absolute error = 7.34838328707e-16
relative error = 2.5373368864720202511370192997408e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.331
y[1] (analytic) = 29018.987582879107361307186277416
y[1] (numeric) = 29018.987582879107360570876545644
absolute error = 7.36309731772e-16
relative error = 2.5373377677945417885808954420263e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.332
y[1] (analytic) = 29077.08363472275345603665203415
y[1] (numeric) = 29077.083634722753455298867953561
absolute error = 7.37784080589e-16
relative error = 2.5373386473599647976128671454828e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.333
y[1] (analytic) = 29135.295994939707891795498624172
y[1] (numeric) = 29135.295994939707891056237243119
absolute error = 7.39261381053e-16
relative error = 2.5373395251635569164981369641003e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.334
y[1] (analytic) = 29193.624896379489152892107220229
y[1] (numeric) = 29193.624896379489152151365581153
absolute error = 7.40741639076e-16
relative error = 2.5373404012184341124906497455799e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.335
y[1] (analytic) = 29252.070572357780770330478166987
y[1] (numeric) = 29252.07057235778076958825330641
absolute error = 7.42224860577e-16
relative error = 2.5373412755211162316299069603391e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.336
y[1] (analytic) = 29310.633256657364584855442616559
y[1] (numeric) = 29310.63325665736458411173156507
absolute error = 7.43711051489e-16
relative error = 2.5373421480754936689653804761676e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.337
y[1] (analytic) = 29369.313183529055878391735925174
y[1] (numeric) = 29369.313183529055877646535707417
absolute error = 7.45200217757e-16
relative error = 2.5373430188858633262633420085433e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.338
y[1] (analytic) = 29428.110587692640377617459814142
y[1] (numeric) = 29428.110587692640376870767448804
absolute error = 7.46692365338e-16
relative error = 2.5373438879568436756772004905772e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.339
y[1] (analytic) = 29487.025704337813133419948838288
y[1] (numeric) = 29487.025704337813132671761338088
absolute error = 7.48187500200e-16
relative error = 2.5373447552898993334715765675444e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.34
y[1] (analytic) = 29546.058769125119279989560237174
y[1] (numeric) = 29546.058769125119279239874608848
absolute error = 7.49685628326e-16
relative error = 2.5373456208968298469178721811863e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.341
y[1] (analytic) = 29605.210018186896677314424798594
y[1] (numeric) = 29605.210018186896676563238042889
absolute error = 7.51186755705e-16
relative error = 2.5373464847691856145237903185887e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.342
y[1] (analytic) = 29664.479688128220440846729970234
y[1] (numeric) = 29664.47968812822044009403908189
absolute error = 7.52690888344e-16
relative error = 2.5373473469188414037015077770542e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.343
y[1] (analytic) = 29723.868016027849362118655143962
y[1] (numeric) = 29723.868016027849361364457111705
absolute error = 7.54198032257e-16
relative error = 2.5373482073407056293447864236664e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.344
y[1] (analytic) = 29783.375239439174224093642838422
y[1] (numeric) = 29783.375239439174223337934644948
absolute error = 7.55708193474e-16
relative error = 2.5373490660430268533496424233954e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.345
y[1] (analytic) = 29843.001596391168015046268449411
y[1] (numeric) = 29843.001596391168014289047071374
absolute error = 7.57221378037e-16
relative error = 2.5373499230337765206320325934120e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.346
y[1] (analytic) = 29902.747325389338044771565354477
y[1] (numeric) = 29902.74732538933804401282776248
absolute error = 7.58737591997e-16
relative error = 2.5373507783105381541752022110486e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.347
y[1] (analytic) = 29962.61266541667996693227147854
y[1] (numeric) = 29962.61266541667996617201463712
absolute error = 7.60256841420e-16
relative error = 2.5373516318805550465814982776870e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.348
y[1] (analytic) = 30022.597855934633711360087981529
y[1] (numeric) = 30022.597855934633710598308849148
absolute error = 7.61779132381e-16
relative error = 2.5373524837405681871194225960073e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.349
y[1] (analytic) = 30082.703136884041330134680547669
y[1] (numeric) = 30082.703136884041329371376076697
absolute error = 7.63304470972e-16
relative error = 2.5373533339034335236699768362042e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.35
y[1] (analytic) = 30142.928748686106761271808869531
y[1] (numeric) = 30142.928748686106760506976006239
absolute error = 7.64832863292e-16
relative error = 2.5373541823647051053215153719329e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.351
y[1] (analytic) = 30203.274932243357513859640359066
y[1] (numeric) = 30203.27493224335751309327604361
absolute error = 7.66364315456e-16
relative error = 2.5373550291325247864459314067948e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.352
y[1] (analytic) = 30263.741928940608278489989913114
y[1] (numeric) = 30263.741928940608277722091079524
absolute error = 7.67898833590e-16
relative error = 2.5373558742108945087632068682676e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=579.8MB, alloc=4.6MB, time=28.84
TOP MAIN SOLVE Loop
x[1] = 4.353
y[1] (analytic) = 30324.329980645926466838928743161
y[1] (numeric) = 30324.329980645926466069492319331
absolute error = 7.69436423830e-16
relative error = 2.5373567175963389295730442812784e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.354
y[1] (analytic) = 30385.039329711599684258921879176
y[1] (numeric) = 30385.039329711599683487944786848
absolute error = 7.70977092328e-16
relative error = 2.5373575592976457970985766829529e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.355
y[1] (analytic) = 30445.870218975105139252386006026
y[1] (numeric) = 30445.870218975105138479865160779
absolute error = 7.72520845247e-16
relative error = 2.5373583993192402691433755148552e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.356
y[1] (analytic) = 30506.822891760080993704306819259
y[1] (numeric) = 30506.822891760080992930239130499
absolute error = 7.74067688760e-16
relative error = 2.5373592376578694665768367956395e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.357
y[1] (analytic) = 30567.897591877299657759318125857
y[1] (numeric) = 30567.8975918772996569837004968
absolute error = 7.75617629057e-16
relative error = 2.5373600743254981181339591232323e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.358
y[1] (analytic) = 30629.094563625643033236423495991
y[1] (numeric) = 30629.094563625643032459252823655
absolute error = 7.77170672336e-16
relative error = 2.5373609093196921161719976671920e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.359
y[1] (analytic) = 30690.414051793079709482335425004
y[1] (numeric) = 30690.414051793079708703608600194
absolute error = 7.78726824810e-16
relative error = 2.5373617426464895850319699453671e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.36
y[1] (analytic) = 30751.8563016576441155722167219
y[1] (numeric) = 30751.856301657644114791930629196
absolute error = 7.80286092704e-16
relative error = 2.5373625743104801078177859842532e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.361
y[1] (analytic) = 30813.421558988417632774434232832
y[1] (numeric) = 30813.421558988417631992585750579
absolute error = 7.81848482253e-16
relative error = 2.5373634043082475544154291374838e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.362
y[1] (analytic) = 30875.11007004651167120377606678
y[1] (numeric) = 30875.110070046511670420362067072
absolute error = 7.83413999708e-16
relative error = 2.5373642326478022803397527728440e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.363
y[1] (analytic) = 30936.922081586052714595440247024
y[1] (numeric) = 30936.922081586052713810457595691
absolute error = 7.84982651333e-16
relative error = 2.5373650593386892371717235683214e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.364
y[1] (analytic) = 30998.857840855169337139975197778
y[1] (numeric) = 30998.85784085516933635342075438
absolute error = 7.86554443398e-16
relative error = 2.5373658843693101209622602698193e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.365
y[1] (analytic) = 31060.917595596981196327240721784
y[1] (numeric) = 31060.917595596981195539111339589
absolute error = 7.88129382195e-16
relative error = 2.5373667077585651663450601152427e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.366
y[1] (analytic) = 31123.101594050590005755362163321
y[1] (numeric) = 31123.101594050590004965654689301
absolute error = 7.89707474020e-16
relative error = 2.5373675294976333508825176267254e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.367
y[1] (analytic) = 31185.410084952072491868570313805
y[1] (numeric) = 31185.410084952072491077281588617
absolute error = 7.91288725188e-16
relative error = 2.5373683495982672674931990806045e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.368
y[1] (analytic) = 31247.843317535475338595755335222
y[1] (numeric) = 31247.8433175354753378028821932
absolute error = 7.92873142022e-16
relative error = 2.5373691680573047909715389301082e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.369
y[1] (analytic) = 31310.40154153381212386951458225
y[1] (numeric) = 31310.401541533812123075053851389
absolute error = 7.94460730861e-16
relative error = 2.5373699848822874966695473592198e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.37
y[1] (analytic) = 31373.085007180062252013441728478
y[1] (numeric) = 31373.085007180062251217390230422
absolute error = 7.96051498056e-16
relative error = 2.5373708000785233488831286186054e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.371
y[1] (analytic) = 31435.893965208171885993388077808
y[1] (numeric) = 31435.893965208171885195742627839
absolute error = 7.97645449969e-16
relative error = 2.5373716136458469112831942845654e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.372
y[1] (analytic) = 31498.828666854056883536426400648
y[1] (numeric) = 31498.828666854056882737183807674
absolute error = 7.99242592974e-16
relative error = 2.5373724255817678097857803169076e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.373
y[1] (analytic) = 31561.889363856607741129263108021
y[1] (numeric) = 31561.889363856607740328420174558
absolute error = 8.00842933463e-16
relative error = 2.5373732359004235079890102891872e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.374
y[1] (analytic) = 31625.076308458696549915876097128
y[1] (numeric) = 31625.076308458696549113429619293
absolute error = 8.02446477835e-16
relative error = 2.5373740445975500436378903255043e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.375
y[1] (analytic) = 31688.389753408185967522203201565
y[1] (numeric) = 31688.389753408185966718149969059
absolute error = 8.04053232506e-16
relative error = 2.5373748516821418682580168804248e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.376
y[1] (analytic) = 31751.829951958940209843769890214
y[1] (numeric) = 31751.829951958940209038106686313
absolute error = 8.05663203901e-16
relative error = 2.5373756571510434408120802321764e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.377
y[1] (analytic) = 31815.397157871838066840224713324
y[1] (numeric) = 31815.397157871838066032948314863
absolute error = 8.07276398461e-16
relative error = 2.5373764610109914464578464731761e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.378
y[1] (analytic) = 31879.091625415787946388847024604
y[1] (numeric) = 31879.091625415787945579954201965
absolute error = 8.08892822639e-16
relative error = 2.5373772632658879632832989667334e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.379
y[1] (analytic) = 31942.913609368744950257203746756
y[1] (numeric) = 31942.913609368744949446691263855
absolute error = 8.10512482901e-16
relative error = 2.5373780639198783694157830103809e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.38
y[1] (analytic) = 32006.863365018729986263260427168
y[1] (numeric) = 32006.863365018729985451125041444
absolute error = 8.12135385724e-16
relative error = 2.5373788629710193699498071839706e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.381
memory used=583.6MB, alloc=4.6MB, time=29.05
y[1] (analytic) = 32070.941148164850920699396583043
y[1] (numeric) = 32070.941148164850919885635045442
absolute error = 8.13761537601e-16
relative error = 2.5373796604268493675829781615197e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.382
y[1] (analytic) = 32135.147215118325775104936393544
y[1] (numeric) = 32135.147215118325774289545448509
absolute error = 8.15390945035e-16
relative error = 2.5373804562855419453778250280808e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.383
y[1] (analytic) = 32199.481822703507971479983193356
y[1] (numeric) = 32199.48182270350797066295957881
absolute error = 8.17023614546e-16
relative error = 2.5373812505576578735897658426435e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.384
y[1] (analytic) = 32263.945228258913630041539989981
y[1] (numeric) = 32263.945228258913629222880437317
absolute error = 8.18659552664e-16
relative error = 2.5373820432442446621048241265404e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.385
y[1] (analytic) = 32328.537689638250923631108398998
y[1] (numeric) = 32328.537689638250922810809633066
absolute error = 8.20298765932e-16
relative error = 2.5373828343461301758842094064236e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.386
y[1] (analytic) = 32393.259465211451492891185000136
y[1] (numeric) = 32393.259465211451492069243739229
absolute error = 8.21941260907e-16
relative error = 2.5373836238669311212734946177410e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.387
y[1] (analytic) = 32458.110813865703926336317195385
y[1] (numeric) = 32458.110813865703925512730151226
absolute error = 8.23587044159e-16
relative error = 2.5373844118098635302749477481526e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.388
y[1] (analytic) = 32523.091995006489309452640231326
y[1] (numeric) = 32523.091995006489308627404109054
absolute error = 8.25236122272e-16
relative error = 2.5373851981807406292474331610100e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.389
y[1] (analytic) = 32588.203268558618846968093164566
y[1] (numeric) = 32588.203268558618846141204662725
absolute error = 8.26888501841e-16
relative error = 2.5373859829786602510606219022783e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.39
y[1] (analytic) = 32653.444894967273562443804234648
y[1] (numeric) = 32653.444894967273561615260045172
absolute error = 8.28544189476e-16
relative error = 2.5373867662082408175132981324120e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.391
y[1] (analytic) = 32718.817135199046079345445396226
y[1] (numeric) = 32718.817135199046078515242204427
absolute error = 8.30203191799e-16
relative error = 2.5373875478703164602291011233787e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.392
y[1] (analytic) = 32784.320250742984487761681684983
y[1] (numeric) = 32784.320250742984486929816169535
absolute error = 8.31865515448e-16
relative error = 2.5373883279740948672830176236042e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.393
y[1] (analytic) = 32849.95450361163830094518368289
y[1] (numeric) = 32849.95450361163830011165251582
absolute error = 8.33531167070e-16
relative error = 2.5373891065156838594253419085249e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.394
y[1] (analytic) = 32915.720156342106505860030641496
y[1] (numeric) = 32915.720156342106505024830488166
absolute error = 8.35200153330e-16
relative error = 2.5373898835054837198181868260942e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.395
y[1] (analytic) = 32981.617471997087711927707850227
y[1] (numeric) = 32981.617471997087711090835369324
absolute error = 8.36872480903e-16
relative error = 2.5373906589437079022268877061927e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.396
y[1] (analytic) = 33047.646714165932402172294633907
y[1] (numeric) = 33047.64671416593240133374647743
absolute error = 8.38548156477e-16
relative error = 2.5373914328294814554733926994279e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.397
y[1] (analytic) = 33113.80814696569729097384896325
y[1] (numeric) = 33113.808146965697290133621776494
absolute error = 8.40227186756e-16
relative error = 2.5373922051698308230371461190041e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.398
y[1] (analytic) = 33180.102035042201792647421097664
y[1] (numeric) = 33180.102035042201791805511519208
absolute error = 8.41909578456e-16
relative error = 2.5373929759674687952707857951417e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.399
y[1] (analytic) = 33246.528643571086605073571985051
y[1] (numeric) = 33246.528643571086604229976646744
absolute error = 8.43595338307e-16
relative error = 2.5373937452267722584291798653733e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.4
y[1] (analytic) = 33313.088238258874412614732352123
y[1] (numeric) = 33313.088238258874411769447879072
absolute error = 8.45284473051e-16
relative error = 2.5373945129476810857144412963135e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.401
y[1] (analytic) = 33379.781085344032712560215564944
y[1] (numeric) = 33379.781085344032711713238575499
absolute error = 8.46976989445e-16
relative error = 2.5373952791346490347805653186659e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.402
y[1] (analytic) = 33446.607451598038769351191456842
y[1] (numeric) = 33446.607451598038768502518562583
absolute error = 8.48672894259e-16
relative error = 2.5373960437905382463184434675392e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.403
y[1] (analytic) = 33513.567604326446700845439443534
y[1] (numeric) = 33513.567604326446699995067249258
absolute error = 8.50372194276e-16
relative error = 2.5373968069165542362604249093640e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.404
y[1] (analytic) = 33580.661811369956700890227407258
y[1] (numeric) = 33580.661811369956700038152510962
absolute error = 8.52074896296e-16
relative error = 2.5373975685240932182264768928226e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.405
y[1] (analytic) = 33647.890341105486402480208067045
y[1] (numeric) = 33647.890341105486401626427059919
absolute error = 8.53781007126e-16
relative error = 2.5373983286048399743462591964175e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.406
y[1] (analytic) = 33715.253462447244385785786895228
y[1] (numeric) = 33715.253462447244384930296361636
absolute error = 8.55490533592e-16
relative error = 2.5373990871664757856883055335802e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.407
y[1] (analytic) = 33782.751444847805835345995124972
y[1] (numeric) = 33782.751444847805834488791642439
absolute error = 8.57203482533e-16
relative error = 2.5373998442146776848975941951964e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.408
y[1] (analytic) = 33850.384558299190350728498054548
y[1] (numeric) = 33850.384558299190349869578193748
absolute error = 8.58919860800e-16
relative error = 2.5374005997501032651229139188630e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.409
y[1] (analytic) = 33918.153073333941914967982725462
y[1] (numeric) = 33918.153073333941914107343050203
absolute error = 8.60639675259e-16
relative error = 2.5374013537772046876238026953439e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=587.4MB, alloc=4.6MB, time=29.26
x[1] = 4.41
y[1] (analytic) = 33986.057261026211025102800167936
y[1] (numeric) = 33986.057261026211024240437235148
absolute error = 8.62362932788e-16
relative error = 2.5374021062952828669306112224744e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.411
y[1] (analytic) = 34054.097392992838989138385803174
y[1] (numeric) = 34054.097392992838988274296162893
absolute error = 8.64089640281e-16
relative error = 2.5374028573102040393703965134236e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.412
y[1] (analytic) = 34122.273741394444393774647301794
y[1] (numeric) = 34122.27374139444439290882749715
absolute error = 8.65819804644e-16
relative error = 2.5374036068225309233370786606407e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.413
y[1] (analytic) = 34190.586578936511747243192256632
y[1] (numeric) = 34190.586578936511746375638823832
absolute error = 8.67553432800e-16
relative error = 2.5374043548421186438699748027647e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.414
y[1] (analytic) = 34259.036178870482301608968470322
y[1] (numeric) = 34259.036178870482300739677938642
absolute error = 8.69290531680e-16
relative error = 2.5374051013616707056460949263948e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.415
y[1] (analytic) = 34327.622814994847058899607518679
y[1] (numeric) = 34327.622814994847058028576410443
absolute error = 8.71031108236e-16
relative error = 2.5374058463946995888964897850510e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.416
y[1] (analytic) = 34396.346761656241965434497564561
y[1] (numeric) = 34396.346761656241964561722395133
absolute error = 8.72775169428e-16
relative error = 2.5374065899374437148038439536620e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.417
y[1] (analytic) = 34465.208293750545298734364198794
y[1] (numeric) = 34465.208293750545297859841476561
absolute error = 8.74522722233e-16
relative error = 2.5374073319950720326841168939957e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.418
y[1] (analytic) = 34534.207686723977251400908409647
y[1] (numeric) = 34534.207686723977250524634636006
absolute error = 8.76273773641e-16
relative error = 2.5374080725699315028419599529455e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.419
y[1] (analytic) = 34603.345216574201716364838665526
y[1] (numeric) = 34603.345216574201715486810334871
absolute error = 8.78028330655e-16
relative error = 2.5374088116614943493567435410559e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.42
y[1] (analytic) = 34672.62115985143027790943957207
y[1] (numeric) = 34672.621159851430277029653171774
absolute error = 8.79786400296e-16
relative error = 2.5374095492807265521302910269627e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.421
y[1] (analytic) = 34742.035793659528412885642669893
y[1] (numeric) = 34742.035793659528412004094680298
absolute error = 8.81547989595e-16
relative error = 2.5374102854268654521276145835793e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.422
y[1] (analytic) = 34811.589395657123906543405708212
y[1] (numeric) = 34811.589395657123905660092602614
absolute error = 8.83313105598e-16
relative error = 2.5374110201018187827549608695874e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.423
y[1] (analytic) = 34881.282244058717487413065197752
y[1] (numeric) = 34881.282244058717486527983442388
absolute error = 8.85081755364e-16
relative error = 2.5374117533043235552827055553165e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.424
y[1] (analytic) = 34951.114617635795685679203249196
y[1] (numeric) = 34951.114617635795684792349303225
absolute error = 8.86853945971e-16
relative error = 2.5374124850470637592604399268034e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.425
y[1] (analytic) = 35021.086795717945919498463676436
y[1] (numeric) = 35021.086795717945918609833991932
absolute error = 8.88629684504e-16
relative error = 2.5374132153221852787443731438608e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.426
y[1] (analytic) = 35091.199058193973813721664122709
y[1] (numeric) = 35091.199058193973812831255144639
absolute error = 8.90408978070e-16
relative error = 2.5374139441441655892094830500621e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.427
y[1] (analytic) = 35161.451685513022755489480587782
y[1] (numeric) = 35161.451685513022754597288753999
absolute error = 8.92191833783e-16
relative error = 2.5374146715068498894204322338832e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.428
y[1] (analytic) = 35231.844958685695691179928231704
y[1] (numeric) = 35231.844958685695690285949972928
absolute error = 8.93978258776e-16
relative error = 2.5374153974176360019407962847821e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.429
y[1] (analytic) = 35302.379159285179169194827740749
y[1] (numeric) = 35302.379159285179168299059480555
absolute error = 8.95768260194e-16
relative error = 2.5374161218774298015425559380491e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.43
y[1] (analytic) = 35373.054569448369633081429900154
y[1] (numeric) = 35373.054569448369632183868054957
absolute error = 8.97561845197e-16
relative error = 2.5374168448891100722707968350368e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.431
y[1] (analytic) = 35443.871471877001969494372361874
y[1] (numeric) = 35443.871471877001968595013340913
absolute error = 8.99359020961e-16
relative error = 2.5374175664602493896337474338560e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.432
y[1] (analytic) = 35514.8301498387803155121619599
y[1] (numeric) = 35514.830149838780314611002165229
absolute error = 9.01159794671e-16
relative error = 2.5374182865832763042392482456880e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.433
y[1] (analytic) = 35585.930887168511129831413346838
y[1] (numeric) = 35585.930887168511128928449173304
absolute error = 9.02964173534e-16
relative error = 2.5374190052720768848877549202455e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.434
y[1] (analytic) = 35657.173968269238532371130239428
y[1] (numeric) = 35657.173968269238531466358074663
absolute error = 9.04772164765e-16
relative error = 2.5374197225224371386979934791496e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.435
y[1] (analytic) = 35728.559678113381916828389203953
y[1] (numeric) = 35728.559678113381915921805428356
absolute error = 9.06583775597e-16
relative error = 2.5374204383401313557675921141895e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.436
y[1] (analytic) = 35800.088302243875840735877721062
y[1] (numeric) = 35800.088302243875839827478707786
absolute error = 9.08399013276e-16
relative error = 2.5374211527267753129431305637013e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.437
y[1] (analytic) = 35871.760126775312197580848280028
y[1] (numeric) = 35871.760126775312196670630394965
absolute error = 9.10217885063e-16
relative error = 2.5374218656853622682792854306413e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.438
y[1] (analytic) = 35943.575438395084675554178501148
y[1] (numeric) = 35943.575438395084674642138102913
absolute error = 9.12040398235e-16
relative error = 2.5374225772229505384670747774746e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=591.3MB, alloc=4.6MB, time=29.46
TOP MAIN SOLVE Loop
x[1] = 4.439
y[1] (analytic) = 36015.534524364535507507373808468
y[1] (numeric) = 36015.534524364535506593507248388
absolute error = 9.13866560080e-16
relative error = 2.5374232873366591357434909901845e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.44
y[1] (analytic) = 36087.637672520104516704514009854
y[1] (numeric) = 36087.63767252010451578881763195
absolute error = 9.15696377904e-16
relative error = 2.5374239960330832685065198399141e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.441
y[1] (analytic) = 36159.885171274480462965328324244
y[1] (numeric) = 36159.885171274480462047798465219
absolute error = 9.17529859025e-16
relative error = 2.5374247033115260799757640761038e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.442
y[1] (analytic) = 36232.27730961775469380478496352
y[1] (numeric) = 36232.277309617754692885417952742
absolute error = 9.19367010778e-16
relative error = 2.5374254091777903471913640879970e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.443
y[1] (analytic) = 36304.814377118577105183801365552
y[1] (numeric) = 36304.814377118577104262593525041
absolute error = 9.21207840511e-16
relative error = 2.5374261136330150188121319550019e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.444
y[1] (analytic) = 36377.496663925314416494919622542
y[1] (numeric) = 36377.496663925314415571867266954
absolute error = 9.23052355588e-16
relative error = 2.5374268166818876957785081030732e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.445
y[1] (analytic) = 36450.324460767210764416048591734
y[1] (numeric) = 36450.324460767210763491148028347
absolute error = 9.24900563387e-16
relative error = 2.5374275183270414787965921266745e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.446
y[1] (analytic) = 36523.298058955550620274649650915
y[1] (numeric) = 36523.298058955550619347897179615
absolute error = 9.26752471300e-16
relative error = 2.5374282185689945692977209487711e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.447
y[1] (analytic) = 36596.417750384824035574037106012
y[1] (numeric) = 36596.417750384824034645429019277
absolute error = 9.28608086735e-16
relative error = 2.5374289174115555712831872752619e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.448
y[1] (analytic) = 36669.683827533894220342776909646
y[1] (numeric) = 36669.683827533894219412309492531
absolute error = 9.30467417115e-16
relative error = 2.5374296148589828143788808642595e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.449
y[1] (analytic) = 36743.096583467167458977498645001
y[1] (numeric) = 36743.096583467167458045168175124
absolute error = 9.32330469877e-16
relative error = 2.5374303109131773726126888802248e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.45
y[1] (analytic) = 36816.656311835765368258785706158
y[1] (numeric) = 36816.656311835765367324588453685
absolute error = 9.34197252473e-16
relative error = 2.5374310055763418683910593792670e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.451
y[1] (analytic) = 36890.363306878699502229177301454
y[1] (numeric) = 36890.363306878699501293109529085
absolute error = 9.36067772369e-16
relative error = 2.5374316988481859119070385475113e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.452
y[1] (analytic) = 36964.217863424048308631703358024
y[1] (numeric) = 36964.217863424048307693761320974
absolute error = 9.37942037050e-16
relative error = 2.5374323907393967760318104844678e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.453
y[1] (analytic) = 37038.220276890136441616779650925
y[1] (numeric) = 37038.220276890136440676959596915
absolute error = 9.39820054010e-16
relative error = 2.5374330812444498661855834699344e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.454
y[1] (analytic) = 37112.370843286716435434715556863
y[1] (numeric) = 37112.3708432867164344930137261
absolute error = 9.41701830763e-16
relative error = 2.5374337703713292255702593169882e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.455
y[1] (analytic) = 37186.669859216152743840530778096
y[1] (numeric) = 37186.669859216152742896943403261
absolute error = 9.43587374835e-16
relative error = 2.5374344581197989810449161324615e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.456
y[1] (analytic) = 37261.117621874608149947240234517
y[1] (numeric) = 37261.117621874608149001763540747
absolute error = 9.45476693770e-16
relative error = 2.5374351444975069805263243266823e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.457
y[1] (analytic) = 37335.714429053232551273248118922
y[1] (numeric) = 37335.714429053232550325878323799
absolute error = 9.47369795123e-16
relative error = 2.5374358295010765017415145141234e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.458
y[1] (analytic) = 37410.460579139354124738992890102
y[1] (numeric) = 37410.460579139354123789726203634
absolute error = 9.49266686468e-16
relative error = 2.5374365131375197377687157745462e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.459
y[1] (analytic) = 37485.356371117672876377504778542
y[1] (numeric) = 37485.35637111767287542633740315
absolute error = 9.51167375392e-16
relative error = 2.5374371954080471576741480308680e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.46
y[1] (analytic) = 37560.402104571456580533076238373
y[1] (numeric) = 37560.402104571456579580004368875
absolute error = 9.53071869498e-16
relative error = 2.5374378763160315827029232848270e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.461
y[1] (analytic) = 37635.598079683739113331803734832
y[1] (numeric) = 37635.598079683739112376823558428
absolute error = 9.54980176404e-16
relative error = 2.5374385558642487386118800524697e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.462
y[1] (analytic) = 37710.944597238521185217336347178
y[1] (numeric) = 37710.944597238521184260444043437
absolute error = 9.56892303741e-16
relative error = 2.5374392340494988473088006380486e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.463
y[1] (analytic) = 37786.441958621973477354762931052
y[1] (numeric) = 37786.44195862197347639595467189
absolute error = 9.58808259162e-16
relative error = 2.5374399108864035394567229292339e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.464
y[1] (analytic) = 37862.090465823642186715185059974
y[1] (numeric) = 37862.090465823642185754457009647
absolute error = 9.60728050327e-16
relative error = 2.5374405863675297434949590917868e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.465
y[1] (analytic) = 37937.890421437656984663157691709
y[1] (numeric) = 37937.890421437656983700506006792
absolute error = 9.62651684917e-16
relative error = 2.5374412605004311109154463151412e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.466
y[1] (analytic) = 38013.842128663941393878833519838
y[1] (numeric) = 38013.842128663941392914254349213
absolute error = 9.64579170625e-16
relative error = 2.5374419332837422696082647883314e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=595.1MB, alloc=4.6MB, time=29.65
x[1] = 4.467
y[1] (analytic) = 38089.945891309425588456320312972
y[1] (numeric) = 38089.945891309425587489809797809
absolute error = 9.66510515163e-16
relative error = 2.5374426047255644375013075032818e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.468
y[1] (analytic) = 38166.202013789261622029453252086
y[1] (numeric) = 38166.202013789261621061007525831
absolute error = 9.68445726255e-16
relative error = 2.5374432748249493316725513179500e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.469
y[1] (analytic) = 38242.610801128041088785896389389
y[1] (numeric) = 38242.610801128041087815511577746
absolute error = 9.70384811643e-16
relative error = 2.5374439435875978156580843979192e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.47
y[1] (analytic) = 38319.172558961015222240218908661
y[1] (numeric) = 38319.172558961015221267891129579
absolute error = 9.72327779082e-16
relative error = 2.5374446110126644740173050171541e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.471
y[1] (analytic) = 38395.88759353531743664634290618
y[1] (numeric) = 38395.887593535317435672068269835
absolute error = 9.74274636345e-16
relative error = 2.5374452771057642703998780043327e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.472
y[1] (analytic) = 38472.75621171118831593952997207
y[1] (numeric) = 38472.756211711188314963304580852
absolute error = 9.76225391218e-16
relative error = 2.5374459418658310925301656213678e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.473
y[1] (analytic) = 38549.778720963203055107863973348
y[1] (numeric) = 38549.778720963203054129683921843
absolute error = 9.78180051505e-16
relative error = 2.5374466052980737752365447840130e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.474
y[1] (analytic) = 38626.955429381501358902997161181
y[1] (numeric) = 38626.955429381501357922858536157
absolute error = 9.80138625024e-16
relative error = 2.5374472674034772532095562538638e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.475
y[1] (analytic) = 38704.286645673019802809756085206
y[1] (numeric) = 38704.286645673019801827654965596
absolute error = 9.82101119610e-16
relative error = 2.5374479281865148892148477841930e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.476
y[1] (analytic) = 38781.772679162726661204052836484
y[1] (numeric) = 38781.772679162726660219985293371
absolute error = 9.84067543113e-16
relative error = 2.5374485876498757831150453764694e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.477
y[1] (analytic) = 38859.413839794859207638415897172
y[1] (numeric) = 38859.413839794859206652377993774
absolute error = 9.86037903398e-16
relative error = 2.5374492457944016776980691466431e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.478
y[1] (analytic) = 38937.210438134163492204343388774
y[1] (numeric) = 38937.210438134163491216331180426
absolute error = 9.88012208348e-16
relative error = 2.5374499026267292779647695139691e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.479
y[1] (analytic) = 39015.162785367136600930589821403
y[1] (numeric) = 39015.162785367136599940599355545
absolute error = 9.89990465858e-16
relative error = 2.5374505581437729486857417767077e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.48
y[1] (analytic) = 39093.271193303271402186425593578
y[1] (numeric) = 39093.271193303271401194452909735
absolute error = 9.91972683843e-16
relative error = 2.5374512123532047146600111336084e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.481
y[1] (analytic) = 39171.535974376303785068856515222
y[1] (numeric) = 39171.535974376303784074897644992
absolute error = 9.93958870230e-16
relative error = 2.5374518652528431807026726686024e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.482
y[1] (analytic) = 39249.957441645462394762758565757
y[1] (numeric) = 39249.957441645462393766809532791
absolute error = 9.95949032966e-16
relative error = 2.5374525168510531079196369485080e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.483
y[1] (analytic) = 39328.535908796720869872870994112
y[1] (numeric) = 39328.535908796720868874927814102
absolute error = 9.97943180010e-16
relative error = 2.5374531671462179391285158472407e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.484
y[1] (analytic) = 39407.271690144052586736598758308
y[1] (numeric) = 39407.271690144052585736657438968
absolute error = 9.99941319340e-16
relative error = 2.5374538161445216562786036349284e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.485
y[1] (analytic) = 39486.165100630687915736603228782
y[1] (numeric) = 39486.165100630687914734659769836
absolute error = 1.001943458946e-15
relative error = 2.5374544638420624476627868223807e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.486
y[1] (analytic) = 39565.216455830373994642208082192
y[1] (numeric) = 39565.216455830373993638258475353
absolute error = 1.003949606839e-15
relative error = 2.5374551102476197299469165635290e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.487
y[1] (analytic) = 39644.426071948637024018715430991
y[1] (numeric) = 39644.426071948637023012755659948
absolute error = 1.005959771043e-15
relative error = 2.5374557553622674948789266064107e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.488
y[1] (analytic) = 39723.794265824047089753815509118
y[1] (numeric) = 39723.79426582404708874584154952
absolute error = 1.007973959598e-15
relative error = 2.5374563991869223431764448216366e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.489
y[1] (analytic) = 39803.321354929485517760381705868
y[1] (numeric) = 39803.321354929485516750389525307
absolute error = 1.009992180561e-15
relative error = 2.5374570417247766249757600445363e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.49
y[1] (analytic) = 39883.007657373414765925071448929
y[1] (numeric) = 39883.007657373414764913057006924
absolute error = 1.012014442005e-15
relative error = 2.5374576829786875928454439435237e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.491
y[1] (analytic) = 39962.85349190115085838230242417
y[1] (numeric) = 39962.853491901150857368261672151
absolute error = 1.014040752019e-15
relative error = 2.5374583229510998798102141955770e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.492
y[1] (analytic) = 40042.859177896138367203342924678
y[1] (numeric) = 40042.85917789613836618727180597
absolute error = 1.016071118708e-15
relative error = 2.5374589616439687650246055722356e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.493
y[1] (analytic) = 40123.025035381227946600444785378
y[1] (numeric) = 40123.025035381227945582339235183
absolute error = 1.018105550195e-15
relative error = 2.5374595990636688913719481121609e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.494
y[1] (analytic) = 40203.35138501995642475615742313
y[1] (numeric) = 40203.351385019956423736013368513
absolute error = 1.020144054617e-15
relative error = 2.5374602352109198760456589671640e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.495
y[1] (analytic) = 40283.838548117829458398192006377
y[1] (numeric) = 40283.838548117829457376005366251
absolute error = 1.022186640126e-15
relative error = 2.5374608700832441922329662070263e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=598.9MB, alloc=4.6MB, time=29.85
TOP MAIN SOLVE Loop
x[1] = 4.496
y[1] (analytic) = 40364.486846623606755250455763988
y[1] (numeric) = 40364.486846623606754226222449093
absolute error = 1.024233314895e-15
relative error = 2.5374615036897828884419523757814e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.497
y[1] (analytic) = 40445.29660313058986950114795106
y[1] (numeric) = 40445.296603130589868474863863951
absolute error = 1.026284087109e-15
relative error = 2.5374621360288465962864356644018e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.498
y[1] (analytic) = 40526.268140877912575439101061142
y[1] (numeric) = 40526.26814087791257441076209617
absolute error = 1.028338964972e-15
relative error = 2.5374627671052153662982162879259e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.499
y[1] (analytic) = 40607.401783751833824419863550726
y[1] (numeric) = 40607.401783751833823389465594023
absolute error = 1.030397956703e-15
relative error = 2.5374633969201429414676449632631e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.5
y[1] (analytic) = 40688.697856287033290333353664292
y[1] (numeric) = 40688.697856287033289300892593753
absolute error = 1.032461070539e-15
relative error = 2.5374640254786841058564923308349e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.501
y[1] (analytic) = 40770.156683667909508755267957904
y[1] (numeric) = 40770.156683667909507720739643173
absolute error = 1.034528314731e-15
relative error = 2.5374646527797648206619233487265e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.502
y[1] (analytic) = 40851.778591729880614974802857856
y[1] (numeric) = 40851.778591729880613938203160308
absolute error = 1.036599697548e-15
relative error = 2.5374652788259540012107793294426e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.503
y[1] (analytic) = 40933.563906960687686101643099566
y[1] (numeric) = 40933.56390696068768506296787229
absolute error = 1.038675227276e-15
relative error = 2.5374659036209034398483733959594e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.504
y[1] (analytic) = 41015.51295650170069246558721246
y[1] (numeric) = 41015.512956501700691424832300241
absolute error = 1.040754912219e-15
relative error = 2.5374665271716942436332384517030e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.505
y[1] (analytic) = 41097.626068149227063532617390613
y[1] (numeric) = 41097.62606814922706248977862992
absolute error = 1.042838760693e-15
relative error = 2.5374671494741223024471822055117e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.506
y[1] (analytic) = 41179.903570355822873571679158199
y[1] (numeric) = 41179.903570355822872526752377165
absolute error = 1.044926781034e-15
relative error = 2.5374677705321569534285756399339e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.507
y[1] (analytic) = 41262.345792231606652316915245094
y[1] (numeric) = 41262.345792231606651269896263499
absolute error = 1.047018981595e-15
relative error = 2.5374683903505082002282815649862e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.508
y[1] (analytic) = 41344.953063545575825880598073327
y[1] (numeric) = 41344.953063545575824831482702583
absolute error = 1.049115370744e-15
relative error = 2.5374690089297010613903851526556e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.509
y[1] (analytic) = 41427.725714726925793182526261366
y[1] (numeric) = 41427.725714726925792131310304499
absolute error = 1.051215956867e-15
relative error = 2.5374696262732779731477954945129e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.51
y[1] (analytic) = 41510.664076866371643172192622586
y[1] (numeric) = 41510.664076866371642118871874219
absolute error = 1.053320748367e-15
relative error = 2.5374702423852788602784800232989e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.511
y[1] (analytic) = 41593.768481717472518130594308884
y[1] (numeric) = 41593.768481717472517075164555223
absolute error = 1.055429753661e-15
relative error = 2.5374708572629426612871701983978e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.512
y[1] (analytic) = 41677.039261697958628349140072509
y[1] (numeric) = 41677.039261697958627291597091322
absolute error = 1.057542981187e-15
relative error = 2.5374714709134901830301621893279e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.513
y[1] (analytic) = 41760.476749891060923493715131066
y[1] (numeric) = 41760.476749891060922434054691669
absolute error = 1.059660439397e-15
relative error = 2.5374720833371814862103850686687e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.514
y[1] (analytic) = 41844.081280046843425972590864876
y[1] (numeric) = 41844.081280046843424910808728115
absolute error = 1.061782136761e-15
relative error = 2.5374726945368636872525449733940e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.515
y[1] (analytic) = 41927.853186583538231637514594758
y[1] (numeric) = 41927.853186583538230573606512991
absolute error = 1.063908081767e-15
relative error = 2.5374733045178643579658484844804e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.516
y[1] (analytic) = 42011.792804588883183157984024594
y[1] (numeric) = 42011.792804588883182091945741677
absolute error = 1.066038282917e-15
relative error = 2.5374739132783647507576689575691e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.517
y[1] (analytic) = 42095.900469821462221419401629353
y[1] (numeric) = 42095.900469821462220351228880621
absolute error = 1.068172748732e-15
relative error = 2.5374745208212678735495950176935e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.518
y[1] (analytic) = 42180.176518712048420306516368312
y[1] (numeric) = 42180.17651871204841923620488056
absolute error = 1.070311487752e-15
relative error = 2.5374751271540706463229141681104e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.519
y[1] (analytic) = 42264.621288364949710244293647955
y[1] (numeric) = 42264.621288364949709171839139426
absolute error = 1.072454508529e-15
relative error = 2.5374757322721748308678549764170e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.52
y[1] (analytic) = 42349.235116559357295879109492345
y[1] (numeric) = 42349.235116559357294804507672708
absolute error = 1.074601819637e-15
relative error = 2.5374763361825399939588298341112e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.521
y[1] (analytic) = 42434.018341750696773293941443613
y[1] (numeric) = 42434.018341750696772217188013948
absolute error = 1.076753429665e-15
relative error = 2.5374769388869912834840603623535e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.522
y[1] (analytic) = 42518.971303071981952162026854834
y[1] (numeric) = 42518.971303071981951083117507615
absolute error = 1.078909347219e-15
relative error = 2.5374775403868934804618608594040e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.523
y[1] (analytic) = 42604.094340335171388254278995012
y[1] (numeric) = 42604.09434033517138717320941409
absolute error = 1.081069580922e-15
relative error = 2.5374781406830747790735074024041e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.524
y[1] (analytic) = 42689.387794032527631726592804555
y[1] (numeric) = 42689.387794032527630643358665138
absolute error = 1.083234139417e-15
relative error = 2.5374787397827788541098488200831e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=602.7MB, alloc=4.6MB, time=30.05
TOP MAIN SOLVE Loop
x[1] = 4.525
y[1] (analytic) = 42774.852005337979196624035262782
y[1] (numeric) = 42774.852005337979195538632231422
absolute error = 1.085403031360e-15
relative error = 2.5374793376831552353140574730442e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.526
y[1] (analytic) = 42860.487316108485257049800200202
y[1] (numeric) = 42860.487316108485255962223934773
absolute error = 1.087576265429e-15
relative error = 2.5374799343922774738676922147082e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.527
y[1] (analytic) = 42946.294068885403075457714050954
y[1] (numeric) = 42946.29406888540307436796020064
absolute error = 1.089753850314e-15
relative error = 2.5374805299056684821587165213048e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.528
y[1] (analytic) = 43032.272606895858168538007538705
y[1] (numeric) = 43032.272606895858167446071743977
absolute error = 1.091935794728e-15
relative error = 2.5374811242319070562393304095647e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.529
y[1] (analytic) = 43118.423274054117216177018665933
y[1] (numeric) = 43118.423274054117215082896558536
absolute error = 1.094122107397e-15
relative error = 2.5374817173692249365007682324725e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.53
y[1] (analytic) = 43204.746414962963718982464676003
y[1] (numeric) = 43204.746414962963717886151878936
absolute error = 1.096312797067e-15
relative error = 2.5374823093217310093517664758986e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.531
y[1] (analytic) = 43291.242374915076409876914923293
y[1] (numeric) = 43291.242374915076408778407050792
absolute error = 1.098507872501e-15
relative error = 2.5374829000923421098226631640038e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.532
y[1] (analytic) = 43377.911499894410425273112863171
y[1] (numeric) = 43377.911499894410424172405520692
absolute error = 1.100707342479e-15
relative error = 2.5374834896827140191512469491993e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.533
y[1] (analytic) = 43464.754136577581241355833704657
y[1] (numeric) = 43464.754136577581240252922488859
absolute error = 1.102911215798e-15
relative error = 2.5374840780931731990380694822494e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.534
y[1] (analytic) = 43551.770632335251381006024698458
y[1] (numeric) = 43551.770632335251379900905197183
absolute error = 1.105119501275e-15
relative error = 2.5374846653295376117526082519257e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.535
y[1] (analytic) = 43638.961335233519896914057605874
y[1] (numeric) = 43638.961335233519895806725398133
absolute error = 1.107332207741e-15
relative error = 2.5374852513892319180166079682235e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.536
y[1] (analytic) = 43726.326594035314636440027654238
y[1] (numeric) = 43726.326594035314635330478310188
absolute error = 1.109549344050e-15
relative error = 2.5374858362818729124140792471459e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.537
y[1] (analytic) = 43813.866758201787293790160276422
y[1] (numeric) = 43813.866758201787292678389357354
absolute error = 1.111770919068e-15
relative error = 2.5374864200039608720964221159166e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.538
y[1] (analytic) = 43901.58217789371125508953620013
y[1] (numeric) = 43901.582177893711253975539258448
absolute error = 1.113996941682e-15
relative error = 2.5374870025594298595697563163028e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.539
y[1] (analytic) = 43989.473203972882241942517041652
y[1] (numeric) = 43989.473203972882240826289620855
absolute error = 1.116227420797e-15
relative error = 2.5374875839526730372066561464334e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.54
y[1] (analytic) = 44077.540188003521759083447513311
y[1] (numeric) = 44077.540188003521757964985147977
absolute error = 1.118462365334e-15
relative error = 2.5374881641839197176483020106803e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.541
y[1] (analytic) = 44165.783482253683351731426718688
y[1] (numeric) = 44165.783482253683350610724934455
absolute error = 1.120701784233e-15
relative error = 2.5374887432559886258836062617407e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.542
y[1] (analytic) = 44254.203439696661678274179829699
y[1] (numeric) = 44254.203439696661677151234143248
absolute error = 1.122945686451e-15
relative error = 2.5374893211696619287761107634308e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.543
y[1] (analytic) = 44342.800414012404403917322759793
y[1] (numeric) = 44342.800414012404402792128678829
absolute error = 1.125194080964e-15
relative error = 2.5374898979281350345066632920366e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.544
y[1] (analytic) = 44431.574759588926920946596312847
y[1] (numeric) = 44431.57475958892691981914933608
absolute error = 1.127446976767e-15
relative error = 2.5374904735369117045903573475315e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.545
y[1] (analytic) = 44520.526831523729901261952742985
y[1] (numeric) = 44520.526831523729900132248360115
absolute error = 1.129704382870e-15
relative error = 2.5374910479947154977542731644661e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.546
y[1] (analytic) = 44609.656985625219686853706751746
y[1] (numeric) = 44609.656985625219685721740443444
absolute error = 1.131966308302e-15
relative error = 2.5374916213024432042297933356148e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.547
y[1] (analytic) = 44698.965578414131523902314721056
y[1] (numeric) = 44698.965578414131522768081958943
absolute error = 1.134232762113e-15
relative error = 2.5374921934675368135882516186581e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.548
y[1] (analytic) = 44788.452967124955646194720478758
y[1] (numeric) = 44788.452967124955645058216725391
absolute error = 1.136503753367e-15
relative error = 2.5374927644882083152103918987018e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.549
y[1] (analytic) = 44878.119509707366213561603163546
y[1] (numeric) = 44878.119509707366212422823872397
absolute error = 1.138779291149e-15
relative error = 2.5374933343690486616492057129287e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.55
y[1] (analytic) = 44967.965564827653111051282843526
y[1] (numeric) = 44967.965564827653109910223458966
absolute error = 1.141059384560e-15
relative error = 2.5374939031097643382997308031862e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.551
y[1] (analytic) = 45057.991491870156614567482493112
y[1] (numeric) = 45057.991491870156613424138450389
absolute error = 1.143344042723e-15
relative error = 2.5374944707184613996463217937602e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.552
y[1] (analytic) = 45148.197650938704928709610792165
y[1] (numeric) = 45148.197650938704927563977517393
absolute error = 1.145633274772e-15
relative error = 2.5374950371871166135469480145084e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=606.5MB, alloc=4.6MB, time=30.27
x[1] = 4.553
y[1] (analytic) = 45238.584402858054602565719025266
y[1] (numeric) = 45238.584402858054601417791935399
absolute error = 1.147927089867e-15
relative error = 2.5374956025248150561982147250955e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.554
y[1] (analytic) = 45329.152109175333829219797173458
y[1] (numeric) = 45329.152109175333828069571676274
absolute error = 1.150225497184e-15
relative error = 2.5374961667354379121474186486368e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.555
y[1] (analytic) = 45419.901132161488634746609152073
y[1] (numeric) = 45419.901132161488633594080646157
absolute error = 1.152528505916e-15
relative error = 2.5374967298198350274081219568402e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.556
y[1] (analytic) = 45510.831834812731962478825102226
y[1] (numeric) = 45510.831834812731961323988976953
absolute error = 1.154836125273e-15
relative error = 2.5374972917757742877794214544413e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.557
y[1] (analytic) = 45601.944580851995658342789736624
y[1] (numeric) = 45601.944580851995657185641372135
absolute error = 1.157148364489e-15
relative error = 2.5374978526132418462432017142089e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.558
y[1] (analytic) = 45693.239734730385363070870018726
y[1] (numeric) = 45693.239734730385361911404785916
absolute error = 1.159465232810e-15
relative error = 2.5374984123279773108683481133692e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.559
y[1] (analytic) = 45784.717661628638317109952964531
y[1] (numeric) = 45784.717661628638315948166225027
absolute error = 1.161786739504e-15
relative error = 2.5374989709233762684805669500288e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.56
y[1] (analytic) = 45876.378727458584084057315144698
y[1] (numeric) = 45876.378727458584082893202250841
absolute error = 1.164112893857e-15
relative error = 2.5374995284016141369093828442852e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.561
y[1] (analytic) = 45968.223298864608198466759578122
y[1] (numeric) = 45968.223298864608197300315872946
absolute error = 1.166443705176e-15
relative error = 2.5375000847701037162477819399443e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.562
y[1] (analytic) = 46060.251743225118743879613193036
y[1] (numeric) = 46060.251743225118742710834010255
absolute error = 1.168779182781e-15
relative error = 2.5375006400239934755348365716952e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.563
y[1] (analytic) = 46152.464428654015866946898935082
y[1] (numeric) = 46152.464428654015865775779599067
absolute error = 1.171119336015e-15
relative error = 2.5375011941678763424801421316198e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.564
y[1] (analytic) = 46244.861724002164233520740970372
y[1] (numeric) = 46244.861724002164232347276796132
absolute error = 1.173464174240e-15
relative error = 2.5375017472069651863764270146562e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.565
y[1] (analytic) = 46337.443998858868432604829312439
y[1] (numeric) = 46337.443998858868431429015605606
absolute error = 1.175813706833e-15
relative error = 2.5375022991383733633621358414634e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.566
y[1] (analytic) = 46430.211623553351334065561642166
y[1] (numeric) = 46430.211623553351332887393698971
absolute error = 1.178167943195e-15
relative error = 2.5375028499704986023249610180635e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.567
y[1] (analytic) = 46523.164969156235406017295136361
y[1] (numeric) = 46523.164969156235404836768243621
absolute error = 1.180526892740e-15
relative error = 2.5375033996991855028941492178679e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.568
y[1] (analytic) = 46616.304407481026997806979821121
y[1] (numeric) = 46616.304407481026996624089256216
absolute error = 1.182890564905e-15
relative error = 2.5375039483292215771507465498493e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.569
y[1] (analytic) = 46709.630311085603594535307367525
y[1] (numeric) = 46709.63031108560359335004839838
absolute error = 1.185258969145e-15
relative error = 2.5375044958634628936360152000873e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.57
y[1] (analytic) = 46803.143053273704049063395397282
y[1] (numeric) = 46803.143053273704047875763282349
absolute error = 1.187632114933e-15
relative error = 2.5375050423027724303334929868696e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.571
y[1] (analytic) = 46896.843008096421797465937312038
y[1] (numeric) = 46896.843008096421796275927300276
absolute error = 1.190010011762e-15
relative error = 2.5375055876502237996906767366721e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.572
y[1] (analytic) = 46990.730550353701063903681449896
y[1] (numeric) = 46990.730550353701062711288780751
absolute error = 1.192392669145e-15
relative error = 2.5375061319109983784127604807318e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.573
y[1] (analytic) = 47084.806055595836060900061054001
y[1] (numeric) = 47084.806055595836059705280957391
absolute error = 1.194780096610e-15
relative error = 2.5375066750816642398127369767415e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.574
y[1] (analytic) = 47179.069900124973191018778158662
y[1] (numeric) = 47179.069900124973189821605854954
absolute error = 1.197172303708e-15
relative error = 2.5375072171671379139637817040014e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.575
y[1] (analytic) = 47273.522460996616255951150106257
y[1] (numeric) = 47273.522460996616254751580806248
absolute error = 1.199569300009e-15
relative error = 2.5375077581720589754124187631875e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.576
y[1] (analytic) = 47368.164116021134679034057051269
y[1] (numeric) = 47368.16411602113467783208595617
absolute error = 1.201971095099e-15
relative error = 2.5375082980943784943327255328287e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.577
y[1] (analytic) = 47462.995243765274747231382534208
y[1] (numeric) = 47462.995243765274746027004835622
absolute error = 1.204377698586e-15
relative error = 2.5375088369379863447362350658481e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.578
y[1] (analytic) = 47558.016223553673878623917066158
y[1] (numeric) = 47558.016223553673877417127946062
absolute error = 1.206789120096e-15
relative error = 2.5375093747041604255197530128075e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.579
y[1] (analytic) = 47653.227435470377921464796702603
y[1] (numeric) = 47653.227435470377920255591333327
absolute error = 1.209205369276e-15
relative error = 2.5375099113978073280144110966332e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.58
y[1] (analytic) = 47748.629260360361490869674851334
y[1] (numeric) = 47748.629260360361489658048395544
absolute error = 1.211626455790e-15
relative error = 2.5375104470189680781679232980838e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.581
y[1] (analytic) = 47844.222079831051349222976102258
y[1] (numeric) = 47844.222079831051348008923712937
absolute error = 1.214052389321e-15
relative error = 2.5375109815669660284435252848940e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=610.3MB, alloc=4.6MB, time=30.49
x[1] = 4.582
y[1] (analytic) = 47940.006276253852836393755735292
y[1] (numeric) = 47940.006276253852835177272555715
absolute error = 1.216483179577e-15
relative error = 2.5375115150528489159958744495258e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.583
y[1] (analytic) = 48035.982232765679355866887805003
y[1] (numeric) = 48035.982232765679354647968968727
absolute error = 1.218918836276e-15
relative error = 2.5375120474679644187855369796212e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.584
y[1] (analytic) = 48132.150333270484922907528366102
y[1] (numeric) = 48132.150333270484921686168996938
absolute error = 1.221359369164e-15
relative error = 2.5375125788214728068077188690789e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.585
y[1] (analytic) = 48228.510962440799780889048540994
y[1] (numeric) = 48228.510962440799779665243752993
absolute error = 1.223804788001e-15
relative error = 2.5375131091110601138758159194695e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.586
y[1] (analytic) = 48325.064505719269091926904788648
y[1] (numeric) = 48325.064505719269090700649686077
absolute error = 1.226255102571e-15
relative error = 2.5375136383436648424520590487419e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.587
y[1] (analytic) = 48421.811349320194707973210961823
y[1] (numeric) = 48421.81134932019470674450063915
absolute error = 1.228710322673e-15
relative error = 2.5375141665167182053174268914731e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.588
y[1] (analytic) = 48518.751880231080028539098586656
y[1] (numeric) = 48518.751880231080027307928128527
absolute error = 1.231170458129e-15
relative error = 2.5375146936346465438421439432527e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.589
y[1] (analytic) = 48615.886486214177951224298313852
y[1] (numeric) = 48615.886486214177949990662795072
absolute error = 1.233635518780e-15
relative error = 2.5375152197004930325573920294398e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.59
y[1] (analytic) = 48713.215555808041921245746723737
y[1] (numeric) = 48713.215555808041920009641209251
absolute error = 1.236105514486e-15
relative error = 2.5375157447158505671438727163262e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.591
y[1] (analytic) = 48810.739478329080086169418667672
y[1] (numeric) = 48810.739478329080084930838212546
absolute error = 1.238580455126e-15
relative error = 2.5375162686807953778004883625396e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.592
y[1] (analytic) = 48908.458643873112562062006145363
y[1] (numeric) = 48908.458643873112560820945794762
absolute error = 1.241060350601e-15
relative error = 2.5375167915999552718272075057773e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.593
y[1] (analytic) = 49006.373443316931817291510401132
y[1] (numeric) = 49006.373443316931816047965190302
absolute error = 1.243545210830e-15
relative error = 2.5375173134742212029719471564439e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.594
y[1] (analytic) = 49104.484268319866180218284522036
y[1] (numeric) = 49104.484268319866178972249476284
absolute error = 1.246035045752e-15
relative error = 2.5375178343047766120386281883215e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.595
y[1] (analytic) = 49202.79151132534647703055938668
y[1] (numeric) = 49202.791511325346475782029521353
absolute error = 1.248529865327e-15
relative error = 2.5375183540950461204634961797211e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.596
y[1] (analytic) = 49301.295565562475805991006395676
y[1] (numeric) = 49301.295565562475804739976716141
absolute error = 1.251029679535e-15
relative error = 2.5375188728485639954759495962022e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.597
y[1] (analytic) = 49399.99682504760245437343606303
y[1] (numeric) = 49399.996825047602453119901564657
absolute error = 1.253534498373e-15
relative error = 2.5375193905628192891890742365367e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.598
y[1] (analytic) = 49498.89568458589596438130231249
y[1] (numeric) = 49498.895684585895963125257980627
absolute error = 1.256044331863e-15
relative error = 2.5375199072453973118178889420738e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.599
y[1] (analytic) = 49597.992539772926354352278254261
y[1] (numeric) = 49597.992539772926353093719064219
absolute error = 1.258559190042e-15
relative error = 2.5375204228936360095136222731919e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.6
y[1] (analytic) = 49697.28778699624650156579036606
y[1] (numeric) = 49697.287786996246500304711283089
absolute error = 1.261079082971e-15
relative error = 2.5375209375127569188701595148372e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.601
y[1] (analytic) = 49796.781823436977692983044418454
y[1] (numeric) = 49796.781823436977691719440397725
absolute error = 1.263604020729e-15
relative error = 2.5375214511036567900260902147962e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.602
y[1] (analytic) = 49896.475047071398350261748218679
y[1] (numeric) = 49896.475047071398348995614205263
absolute error = 1.266134013416e-15
relative error = 2.5375219636688822772671541020413e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.603
y[1] (analytic) = 49996.367856672535935400433350116
y[1] (numeric) = 49996.367856672535934131764278964
absolute error = 1.268669071152e-15
relative error = 2.5375224752105325206593275843271e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.604
y[1] (analytic) = 50096.46065181176204338000060726
y[1] (numeric) = 50096.460651811762042108791403185
absolute error = 1.271209204075e-15
relative error = 2.5375229857261904623247470288873e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.605
y[1] (analytic) = 50196.753832860390688182861819155
y[1] (numeric) = 50196.753832860390686909107396806
absolute error = 1.273754422349e-15
relative error = 2.5375234952248244101886315868202e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.606
y[1] (analytic) = 50297.2478009912797885828242689
y[1] (numeric) = 50297.247800991279787306519532745
absolute error = 1.276304736155e-15
relative error = 2.5375240037087000164267397163962e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.607
y[1] (analytic) = 50397.942958180435860111663004085
y[1] (numeric) = 50397.942958180435858832802848394
absolute error = 1.278860155691e-15
relative error = 2.5375245111733661243188711826155e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.608
y[1] (analytic) = 50498.83970720862191962115104405
y[1] (numeric) = 50498.839707208621918339730352873
absolute error = 1.281420691177e-15
relative error = 2.5375250176175422410035123545343e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.609
y[1] (analytic) = 50599.93845166296860887216787594
y[1] (numeric) = 50599.938451662968607588181523079
absolute error = 1.283986352861e-15
relative error = 2.5375255230548640066764316913829e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.61
y[1] (analytic) = 50701.23959593858854359538274415
y[1] (numeric) = 50701.239595938588542308825593145
absolute error = 1.286557151005e-15
relative error = 2.5375260274860407412791679271803e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=614.1MB, alloc=4.6MB, time=30.67
TOP MAIN SOLVE Loop
x[1] = 4.611
y[1] (analytic) = 50802.743545240193894480911128385
y[1] (numeric) = 50802.743545240193893191778032495
absolute error = 1.289133095890e-15
relative error = 2.5375265309087452674538896768999e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.612
y[1] (analytic) = 50904.450705583717206567270525725
y[1] (numeric) = 50904.450705583717205275556327905
absolute error = 1.291714197820e-15
relative error = 2.5375270333254213200240120709906e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.613
y[1] (analytic) = 51006.361483797935463512915253595
y[1] (numeric) = 51006.361483797935462218614786479
absolute error = 1.294300467116e-15
relative error = 2.5375275347313919829555179168918e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.614
y[1] (analytic) = 51108.476287526097403246609525235
y[1] (numeric) = 51108.476287526097401949717611104
absolute error = 1.296891914131e-15
relative error = 2.5375280351441993105734548471685e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.615
y[1] (analytic) = 51210.79552522755409150590356885
y[1] (numeric) = 51210.795525227554090206415019625
absolute error = 1.299488549225e-15
relative error = 2.5375285345544839590665419090076e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.616
y[1] (analytic) = 51313.319606179392759786009118535
y[1] (numeric) = 51313.319606179392758483918735752
absolute error = 1.302090382783e-15
relative error = 2.5375290329612510874461618683543e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.617
y[1] (analytic) = 51416.04894047807391423442825086
y[1] (numeric) = 51416.04894047807391292973082564
absolute error = 1.304697425220e-15
relative error = 2.5375295303814310031447760396132e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.618
y[1] (analytic) = 51518.983939041071722039773328435
y[1] (numeric) = 51518.983939041071720732463641478
absolute error = 1.307309686957e-15
relative error = 2.5375300268030346038473250565949e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.619
y[1] (analytic) = 51622.12501360851768187632579299
y[1] (numeric) = 51622.125013608517680566398614548
absolute error = 1.309927178442e-15
relative error = 2.5375305222260410825781785039259e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.62
y[1] (analytic) = 51725.4725767448475849790177777
y[1] (numeric) = 51725.472576744847583666467867547
absolute error = 1.312549910153e-15
relative error = 2.5375310166679979362906283141670e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.621
y[1] (analytic) = 51829.027041840451773436683034625
y[1] (numeric) = 51829.027041840451772121505142049
absolute error = 1.315177892576e-15
relative error = 2.5375315101213174468274902985637e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.622
y[1] (analytic) = 51932.788823113328702304612550675
y[1] (numeric) = 51932.788823113328700986801414452
absolute error = 1.317811136223e-15
relative error = 2.5375320025881065091494530993205e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.623
y[1] (analytic) = 52036.75833561074181215066550702
y[1] (numeric) = 52036.758335610741810830215855391
absolute error = 1.320449651629e-15
relative error = 2.5375324940742241722920711687857e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.624
y[1] (analytic) = 52140.935995210879718662427975555
y[1] (numeric) = 52140.935995210879717339334526212
absolute error = 1.323093449343e-15
relative error = 2.5375329845719024046859526659769e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.625
y[1] (analytic) = 52245.322218624519725956179994685
y[1] (numeric) = 52245.322218624519724630437454739
absolute error = 1.325742539946e-15
relative error = 2.5375334740942540834106952750419e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.626
y[1] (analytic) = 52349.917423396694670241726478245
y[1] (numeric) = 52349.917423396694668913329544215
absolute error = 1.328396934030e-15
relative error = 2.5375339626348692703164300663983e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.627
y[1] (analytic) = 52454.722027908363100510468839415
y[1] (numeric) = 52454.722027908363099179412197199
absolute error = 1.331056642216e-15
relative error = 2.5375344502022442742848120726403e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.628
y[1] (analytic) = 52559.736451378082802927442308755
y[1] (numeric) = 52559.736451378082801593720633617
absolute error = 1.333721675138e-15
relative error = 2.5375349367891106832554019057721e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.629
y[1] (analytic) = 52664.961113863687675621418745945
y[1] (numeric) = 52664.961113863687674285026702479
absolute error = 1.336392043466e-15
relative error = 2.5375354224161840582427764913173e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.63
y[1] (analytic) = 52770.396436263967960580576341375
y[1] (numeric) = 52770.396436263967959241508583507
absolute error = 1.339067757868e-15
relative error = 2.5375359070597938348547418767465e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.631
y[1] (analytic) = 52876.04284032035383937466603072
y[1] (numeric) = 52876.042840320353838032917201662
absolute error = 1.341748829058e-15
relative error = 2.5375363907430235086531777927050e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.632
y[1] (analytic) = 52981.90074861860239943805975579
y[1] (numeric) = 52981.900748618602398093624488035
absolute error = 1.344435267755e-15
relative error = 2.5375368734577788311668305608886e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.633
y[1] (analytic) = 53087.970584590487977661547953285
y[1] (numeric) = 53087.970584590487976314420868578
absolute error = 1.347127084707e-15
relative error = 2.5375373552102255794695020818078e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.634
y[1] (analytic) = 53194.252772515495888054262892335
y[1] (numeric) = 53194.252772515495886704438601655
absolute error = 1.349824290680e-15
relative error = 2.5375378359998877376421537406081e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.635
y[1] (analytic) = 53300.74773752251954025064076688
y[1] (numeric) = 53300.747737522519538898113870421
absolute error = 1.352526896459e-15
relative error = 2.5375383158215089909602286345590e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.636
y[1] (analytic) = 53407.45590559156095565089883355
y[1] (numeric) = 53407.455905591560954295663920689
absolute error = 1.355234912861e-15
relative error = 2.5375387946893609128489778357755e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.637
y[1] (analytic) = 53514.377703555434687997094424275
y[1] (numeric) = 53514.377703555434686639146073558
absolute error = 1.357948350717e-15
relative error = 2.5375392726033315126830149066268e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.638
y[1] (analytic) = 53621.51355910147515520045040981
y[1] (numeric) = 53621.513559101475153839783188929
absolute error = 1.360667220881e-15
relative error = 2.5375397495657719086147196986877e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.639
y[1] (analytic) = 53728.863900773247389249276699875
y[1] (numeric) = 53728.863900773247387885885165653
memory used=618.0MB, alloc=4.6MB, time=30.86
absolute error = 1.363391534222e-15
relative error = 2.5375402255665013911724584613854e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.64
y[1] (analytic) = 53836.429157972261211040489692645
y[1] (numeric) = 53836.429157972261209674368390999
absolute error = 1.366121301646e-15
relative error = 2.5375407006237162871152467379891e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.641
y[1] (analytic) = 53944.20976095968883699143128515
y[1] (numeric) = 53944.209760959688835622574751086
absolute error = 1.368856534064e-15
relative error = 2.5375411747243055741300928986799e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.642
y[1] (analytic) = 54052.20614085808592430241618212
y[1] (numeric) = 54052.206140858085922930818939697
absolute error = 1.371597242423e-15
relative error = 2.5375416478814341180861518727497e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.643
y[1] (analytic) = 54160.41872965311606175419084807
y[1] (numeric) = 54160.418729653116060379847410388
absolute error = 1.374343437682e-15
relative error = 2.5375421200898871374748952211572e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.644
y[1] (analytic) = 54268.84796019527871293826959189
y[1] (numeric) = 54268.847960195278711561174461061
absolute error = 1.377095130829e-15
relative error = 2.5375425913574980549252416154790e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.645
y[1] (analytic) = 54377.494266201640618831923009125
y[1] (numeric) = 54377.494266201640617452070676255
absolute error = 1.379852332870e-15
relative error = 2.5375430616847086377058263321170e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.646
y[1] (analytic) = 54486.35808225757066664343139049
y[1] (numeric) = 54486.358082257570665260816335655
absolute error = 1.382615054835e-15
relative error = 2.5375435310755736999868314601650e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.647
y[1] (analytic) = 54595.439843818478231867080790755
y[1] (numeric) = 54595.439843818478230481697482988
absolute error = 1.385383307767e-15
relative error = 2.5375439995174960289400886939019e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.648
y[1] (analytic) = 54704.739987211555000501272295835
y[1] (numeric) = 54704.739987211554999113115193083
absolute error = 1.388157102752e-15
relative error = 2.5375444670361516726059595189741e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.649
y[1] (analytic) = 54814.258949637520278397035682835
y[1] (numeric) = 54814.258949637520277006099231961
absolute error = 1.390936450874e-15
relative error = 2.5375449336129319063081309453252e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.65
y[1] (analytic) = 54923.99716917236979471818719434
y[1] (numeric) = 54923.997169172369793324465831084
absolute error = 1.393721363256e-15
relative error = 2.5375453992599524638658310908659e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.651
y[1] (analytic) = 55033.955084769128006508347599175
y[1] (numeric) = 55033.95508476912800511183574814
absolute error = 1.396511851035e-15
relative error = 2.5375458639742400820435642550299e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.652
y[1] (analytic) = 55144.133136259603911374041144215
y[1] (numeric) = 55144.133136259603909974733218838
absolute error = 1.399307925377e-15
relative error = 2.5375463277650034405650897180506e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.653
y[1] (analytic) = 55254.531764356150375307128470655
y[1] (numeric) = 55254.531764356150373905018873193
absolute error = 1.402109597462e-15
relative error = 2.5375467906262837290154228389388e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.654
y[1] (analytic) = 55365.151410653426982683887130305
y[1] (numeric) = 55365.151410653426981278970251809
absolute error = 1.404916878496e-15
relative error = 2.5375472525586993270600139303820e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.655
y[1] (analytic) = 55475.992517630166415492142048645
y[1] (numeric) = 55475.992517630166414084412268935
absolute error = 1.407729779710e-15
relative error = 2.5375477135674969947144873652848e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.656
y[1] (analytic) = 55587.05552865094436885196519837
y[1] (numeric) = 55587.05552865094436744141688601
absolute error = 1.410548312360e-15
relative error = 2.5375481736624248507481379375471e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.657
y[1] (analytic) = 55698.340887967953009909608926075
y[1] (numeric) = 55698.340887967953008496236438359
absolute error = 1.413372487716e-15
relative error = 2.5375486328378571935155204335601e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.658
y[1] (analytic) = 55809.849040722777987198510872475
y[1] (numeric) = 55809.849040722777985782308555406
absolute error = 1.416202317069e-15
relative error = 2.5375490910854095256934218894983e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.659
y[1] (analytic) = 55921.58043294817899757541029951
y[1] (numeric) = 55921.58043294817899615637248776
absolute error = 1.419037811750e-15
relative error = 2.5375495484278617287286494441455e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.66
y[1] (analytic) = 56033.53551156987391785384594282
y[1] (numeric) = 56033.535511569873916431966959728
absolute error = 1.421878983092e-15
relative error = 2.5375500048509497742405544971902e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.661
y[1] (analytic) = 56145.714724408326508271564302555
y[1] (numeric) = 56145.71472440832650684683846009
absolute error = 1.424725842465e-15
relative error = 2.5375504603659919183853945661109e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.662
y[1] (analytic) = 56258.11852018053769494265462564
y[1] (numeric) = 56258.118520180537693515076224383
absolute error = 1.427578401257e-15
relative error = 2.5375509149757800397731937605149e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.663
y[1] (analytic) = 56370.747348501840438459542776465
y[1] (numeric) = 56370.747348501840437029106105593
absolute error = 1.430436670872e-15
relative error = 2.5375513686710356669747892905227e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.664
y[1] (analytic) = 56483.601659887698195824320797155
y[1] (numeric) = 56483.601659887698194391020134408
absolute error = 1.433300662747e-15
relative error = 2.5375518214605469202251877153958e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.665
y[1] (analytic) = 56596.68190575550698290326228062
y[1] (numeric) = 56596.681905755506981467091892284
absolute error = 1.436170388336e-15
relative error = 2.5375522733426374271473749162695e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.666
y[1] (analytic) = 56709.988538426401044612775777265
y[1] (numeric) = 56709.988538426401043173729918147
absolute error = 1.439045859118e-15
relative error = 2.5375527243192966146247232184758e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.667
y[1] (analytic) = 56823.5220111270621400594793867
y[1] (numeric) = 56823.522011127062138617552300101
absolute error = 1.441927086599e-15
relative error = 2.5375531743995820629483448964852e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=621.8MB, alloc=4.6MB, time=31.04
x[1] = 4.668
y[1] (analytic) = 56937.28277799153244987153950712
y[1] (numeric) = 56937.282777991532448426725424818
absolute error = 1.444814082302e-15
relative error = 2.5375536235819048706221935041387e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.669
y[1] (analytic) = 57051.271294063031112972905484955
y[1] (numeric) = 57051.27129406303111152519862718
absolute error = 1.447706857775e-15
relative error = 2.5375540718680773652423358194812e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.67
y[1] (analytic) = 57165.488015295774400066589683745
y[1] (numeric) = 57165.488015295774398615984259157
absolute error = 1.450605424588e-15
relative error = 2.5375545192579505058289882647997e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.671
y[1] (analytic) = 57279.93339855679953110768933228
y[1] (numeric) = 57279.933398556799529654179537944
absolute error = 1.453509794336e-15
relative error = 2.5375549657545900798204670353582e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.672
y[1] (analytic) = 57394.60790162779214406142247583
y[1] (numeric) = 57394.607901627792142605002497197
absolute error = 1.456419978633e-15
relative error = 2.5375554113537098880725671740850e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.673
y[1] (analytic) = 57509.51198320691742225605549926
y[1] (numeric) = 57509.511983206917420796719510138
absolute error = 1.459335989122e-15
relative error = 2.5375558560610527357017215737916e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.674
y[1] (analytic) = 57624.64610291065488765523407522
y[1] (numeric) = 57624.646102910654886192976237745
absolute error = 1.462257837475e-15
relative error = 2.5375562998922096521651073367237e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.675
y[1] (analytic) = 57740.01072127563686738889307311
y[1] (numeric) = 57740.010721275636865923707537742
absolute error = 1.465185535368e-15
relative error = 2.5375567428291429847132503110622e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.676
y[1] (analytic) = 57855.606299760490640896614003825
y[1] (numeric) = 57855.606299760490639428494909313
absolute error = 1.468119094512e-15
relative error = 2.5375571848740226354699418219489e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.677
y[1] (analytic) = 57971.43330074768427505202102982
y[1] (numeric) = 57971.43330074768427358096250317
absolute error = 1.471058526650e-15
relative error = 2.5375576260437691828807816790567e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.678
y[1] (analytic) = 58087.49218754537615465155849921
y[1] (numeric) = 58087.492187545376153177554655676
absolute error = 1.474003843534e-15
relative error = 2.5375580663302302315931753656894e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.679
y[1] (analytic) = 58203.783424389268215665774425115
y[1] (numeric) = 58203.783424389268214188819368165
absolute error = 1.476955056950e-15
relative error = 2.5375585057433019893769061803977e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.68
y[1] (analytic) = 58320.307476444462888666045386275
y[1] (numeric) = 58320.307476444462887186133207582
absolute error = 1.479912178693e-15
relative error = 2.5375589442678018095823245747641e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.681
y[1] (analytic) = 58437.06480980732375985451903186
y[1] (numeric) = 58437.064809807323758371643811259
absolute error = 1.482875220601e-15
relative error = 2.5375593819218198238737752032761e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.682
y[1] (analytic) = 58554.055891507339957139920791
y[1] (numeric) = 58554.055891507339955654076596479
absolute error = 1.485844194521e-15
relative error = 2.5375598186982403874541133714342e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.683
y[1] (analytic) = 58671.281189508994268716771576245
y[1] (numeric) = 58671.281189508994267227952463914
absolute error = 1.488819112331e-15
relative error = 2.5375602546024094523183926292337e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.684
y[1] (analytic) = 58788.74117271363500162049328855
y[1] (numeric) = 58788.741172713635000128693302615
absolute error = 1.491799985935e-15
relative error = 2.5375606896434245675454282823317e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.685
y[1] (analytic) = 58906.436310961351587745838840055
y[1] (numeric) = 58906.436310961351586251052012807
absolute error = 1.494786827248e-15
relative error = 2.5375611238085523151319715796694e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.686
y[1] (analytic) = 59024.36707503285394483107326922
y[1] (numeric) = 59024.367075032853943333293621
absolute error = 1.497779648220e-15
relative error = 2.5375615571040264491069504947124e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.687
y[1] (analytic) = 59142.533936651355599925352390795
y[1] (numeric) = 59142.53393665135559842457392997
absolute error = 1.500778460825e-15
relative error = 2.5375619895361790233450827254097e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.688
y[1] (analytic) = 59260.937368484460582871795361
y[1] (numeric) = 59260.937368484460581368012083943
absolute error = 1.503783277057e-15
relative error = 2.5375624211046085900380234615364e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.689
y[1] (analytic) = 59379.577844146054097353827606085
y[1] (numeric) = 59379.577844146054095847033497146
absolute error = 1.506794108939e-15
relative error = 2.5375628518173231785463620525946e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.69
y[1] (analytic) = 59498.45583819819697706748082048
y[1] (numeric) = 59498.455838198196975557669851974
absolute error = 1.509810968506e-15
relative error = 2.5375632816620033679143152915862e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.691
y[1] (analytic) = 59617.57182615302393459747724976
y[1] (numeric) = 59617.571826153023933084643381932
absolute error = 1.512833867828e-15
relative error = 2.5375637106447035056859374144878e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.692
y[1] (analytic) = 59736.926284474645610590096293675
y[1] (numeric) = 59736.926284474645609074233474672
absolute error = 1.515862819003e-15
relative error = 2.5375641387778698372765818639007e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.693
y[1] (analytic) = 59856.51969058105443083102265681
y[1] (numeric) = 59856.519690581054429312124822673
absolute error = 1.518897834137e-15
relative error = 2.5375645660467824113376665292239e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.694
y[1] (analytic) = 59976.35252284603427885160689947
y[1] (numeric) = 59976.352522846034277329667974088
absolute error = 1.521938925382e-15
relative error = 2.5375649924731035152086925800140e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.695
y[1] (analytic) = 60096.425260601073991702231359925
y[1] (numeric) = 60096.425260601073990177245255033
absolute error = 1.524986104892e-15
relative error = 2.5375654180412183708807245527153e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.696
y[1] (analytic) = 60216.738384137284686546767092975
y[1] (numeric) = 60216.738384137284685018727708115
absolute error = 1.528039384860e-15
relative error = 2.5375658427599706156261104372867e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=625.6MB, alloc=4.6MB, time=31.24
TOP MAIN SOLVE Loop
x[1] = 4.697
y[1] (analytic) = 60337.292374707320925747430758955
y[1] (numeric) = 60337.292374707320924216331981459
absolute error = 1.531098777496e-15
relative error = 2.5375662666258761258471305361590e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.698
y[1] (analytic) = 60458.087714527305728124704364255
y[1] (numeric) = 60458.08771452730572659054006921
absolute error = 1.534164295045e-15
relative error = 2.5375666896529377473827448480418e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.699
y[1] (analytic) = 60579.124886778759434092365459645
y[1] (numeric) = 60579.124886778759432555129509883
absolute error = 1.537235949762e-15
relative error = 2.5375671118311216350643371599798e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.7
y[1] (analytic) = 60700.404375610532432383090908425
y[1] (numeric) = 60700.404375610532430842777154493
absolute error = 1.540313753932e-15
relative error = 2.5375675331594647671017890526278e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.701
y[1] (analytic) = 60821.926666140741756095543703725
y[1] (numeric) = 60821.926666140741754552145983849
absolute error = 1.543397719876e-15
relative error = 2.5375679536557688274331969159352e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.702
y[1] (analytic) = 60943.692244458711555809329605415
y[1] (numeric) = 60943.692244458711554262841745496
absolute error = 1.546487859919e-15
relative error = 2.5375683733038245365472125651920e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.703
y[1] (analytic) = 61065.70159762691745752971864385
y[1] (numeric) = 61065.701597626917455980134457418
absolute error = 1.549584186432e-15
relative error = 2.5375687921224483270475218865593e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.704
y[1] (analytic) = 61187.95521368293481323956586167
y[1] (numeric) = 61187.95521368293481168687914988
absolute error = 1.552686711790e-15
relative error = 2.5375692100964113589820858562610e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.705
y[1] (analytic) = 61310.45358164139085185143609915
y[1] (numeric) = 61310.453581641390850295640650741
absolute error = 1.555795448409e-15
relative error = 2.5375696272370467174729561464932e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.706
y[1] (analytic) = 61433.19719149592073836853923435
y[1] (numeric) = 61433.197191495920736809628825625
absolute error = 1.558910408725e-15
relative error = 2.5375700435477204299285828492509e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.707
y[1] (analytic) = 61556.18653422112754907871512995
y[1] (numeric) = 61556.186534221127547516683524754
absolute error = 1.562031605196e-15
relative error = 2.5375704590270789054949027607766e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.708
y[1] (analytic) = 61679.422101774546170621371676
y[1] (numeric) = 61679.422101774546169056212625697
absolute error = 1.565159050303e-15
relative error = 2.5375708736706364718590228740269e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.709
y[1] (analytic) = 61802.90438709861113078297481487
y[1] (numeric) = 61802.904387098611129214682058307
absolute error = 1.568292756563e-15
relative error = 2.5375712874917605646263271011602e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.71
y[1] (analytic) = 61926.63388412262836889241635409
y[1] (numeric) = 61926.633884122628367320983617589
absolute error = 1.571432736501e-15
relative error = 2.5375717004761979954644719751064e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.711
y[1] (analytic) = 62050.61108776475095370334377769
y[1] (numeric) = 62050.611087764750952128764774999
absolute error = 1.574579002691e-15
relative error = 2.5375721126483446795770501336940e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.712
y[1] (analytic) = 62174.83649393395875666632621948
y[1] (numeric) = 62174.836493933958755088594651773
absolute error = 1.577731567707e-15
relative error = 2.5375725239919693168551494991749e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.713
y[1] (analytic) = 62299.31059953204208850955232669
y[1] (numeric) = 62299.310599532042086928661882532
absolute error = 1.580890444158e-15
relative error = 2.5375729345067179175283915625502e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.714
y[1] (analytic) = 62424.033902455589307062608981475
y[1] (numeric) = 62424.033902455589305478553336784
absolute error = 1.584055644691e-15
relative error = 2.5375733442126809115112991045808e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.715
y[1] (analytic) = 62549.006901597978404273774825555
y[1] (numeric) = 62549.006901597978402686547643602
absolute error = 1.587227181953e-15
relative error = 2.5375737530893557950847538931205e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.716
y[1] (analytic) = 62674.230096851372580387179312725
y[1] (numeric) = 62674.230096851372578796774244083
absolute error = 1.590405068642e-15
relative error = 2.5375741611573442460703002206939e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.717
y[1] (analytic) = 62799.703989108719813262126658465
y[1] (numeric) = 62799.703989108719811668537341003
absolute error = 1.593589317462e-15
relative error = 2.5375745684062051569423386526064e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.718
y[1] (analytic) = 62925.429080265756430832864630205
y[1] (numeric) = 62925.429080265756429236084689053
absolute error = 1.596779941152e-15
relative error = 2.5375749748407694629218016743644e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.719
y[1] (analytic) = 63051.405873223014694723090688635
y[1] (numeric) = 63051.405873223014693123113736159
absolute error = 1.599976952476e-15
relative error = 2.5375753804650471508954097703442e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.72
y[1] (analytic) = 63177.63487188783440304553261491
y[1] (numeric) = 63177.634871887834401442352250692
absolute error = 1.603180364218e-15
relative error = 2.5375757852742403101647481139989e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.721
y[1] (analytic) = 63304.116581176378520433017504225
y[1] (numeric) = 63304.116581176378518826627315027
absolute error = 1.606390189198e-15
relative error = 2.5375761892800250159808597616145e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.722
y[1] (analytic) = 63430.851507015652843363551937485
y[1] (numeric) = 63430.851507015652841753945497234
absolute error = 1.609606440251e-15
relative error = 2.5375765924771992626290779604897e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.723
y[1] (analytic) = 63557.840156345529708858077324355
y[1] (numeric) = 63557.840156345529707245248194109
absolute error = 1.612829130246e-15
relative error = 2.5375769948736643749923645214297e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.724
y[1] (analytic) = 63685.08303712077575464573790691
y[1] (numeric) = 63685.083037120775753029679634843
absolute error = 1.616058272067e-15
relative error = 2.5375773964603792462033298871461e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=629.4MB, alloc=4.6MB, time=31.44
x[1] = 4.725
y[1] (analytic) = 63812.58065831308373890770478872
y[1] (numeric) = 63812.580658313083737288410910087
absolute error = 1.619293878633e-15
relative error = 2.5375777972427902941663545971873e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.726
y[1] (analytic) = 63940.33352991310842772683767369
y[1] (numeric) = 63940.333529913108426104301710799
absolute error = 1.622535962891e-15
relative error = 2.5375781972296586198198922946101e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.727
y[1] (analytic) = 64068.342162932506558386736827835
y[1] (numeric) = 64068.342162932506556760952290033
absolute error = 1.625784537802e-15
relative error = 2.5375785964110942452331227258517e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.728
y[1] (analytic) = 64196.60706940598088668004118021
y[1] (numeric) = 64196.60706940598088505100156384
absolute error = 1.629039616370e-15
relative error = 2.5375789948038350498524676389196e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.729
y[1] (analytic) = 64325.12876239332832640216452146
y[1] (numeric) = 64325.128762393328324769863309856
absolute error = 1.632301211604e-15
relative error = 2.5375793923918254953477414655878e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.73
y[1] (analytic) = 64453.90775598149218922303050595
y[1] (numeric) = 64453.907755981492187587461169389
absolute error = 1.635569336561e-15
relative error = 2.5375797891931771400068568630842e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.731
y[1] (analytic) = 64582.94456528661853314576868056
y[1] (numeric) = 64582.944565286618531506924676253
absolute error = 1.638844004307e-15
relative error = 2.5375801851993597233960122314861e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.732
y[1] (analytic) = 64712.23970645611662777776811688
y[1] (numeric) = 64712.239706456116626135642888943
absolute error = 1.642125227937e-15
relative error = 2.5375805804062918845399347115991e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.733
y[1] (analytic) = 64841.79369667072354465595247823
y[1] (numeric) = 64841.793696670723543010539457642
absolute error = 1.645413020588e-15
relative error = 2.5375809748342650890153384935397e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.734
y[1] (analytic) = 64971.607054146572880884640575355
y[1] (numeric) = 64971.607054146572879235933179952
absolute error = 1.648707395403e-15
relative error = 2.5375813684722107226137174106139e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.735
y[1] (analytic) = 65101.680298137267624360889720655
y[1] (numeric) = 65101.680298137267622708881355096
absolute error = 1.652008365559e-15
relative error = 2.5375817613209414458484235926089e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.736
y[1] (analytic) = 65232.013948935957168878785546035
y[1] (numeric) = 65232.013948935957167223469601775
absolute error = 1.655315944260e-15
relative error = 2.5375821533822212474966440394007e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.737
y[1] (analytic) = 65362.60852787741848742074147094
y[1] (numeric) = 65362.608527877418485762111326198
absolute error = 1.658630144742e-15
relative error = 2.5375825446663247758229053578187e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.738
y[1] (analytic) = 65493.46455734014147196050376064
y[1] (numeric) = 65493.464557340141470298552780383
absolute error = 1.661950980257e-15
relative error = 2.5375829351674415620609919300594e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.739
y[1] (analytic) = 65624.58256074841844811922416728
y[1] (numeric) = 65624.582560748418446453945703196
absolute error = 1.665278464084e-15
relative error = 2.5375833248805175458935475781570e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.74
y[1] (analytic) = 65755.963062574437873032661563995
y[1] (numeric) = 65755.963062574437871364048954449
absolute error = 1.668612609546e-15
relative error = 2.5375837138270201525527294755383e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.741
y[1] (analytic) = 65887.60658834038222480430683241
y[1] (numeric) = 65887.606588340382223132353402447
absolute error = 1.671953429963e-15
relative error = 2.5375841019832591809692175003031e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.742
y[1] (analytic) = 66019.5136646205300919359916134
y[1] (numeric) = 66019.513664620530090260690674685
absolute error = 1.675300938715e-15
relative error = 2.5375844893761826373624837227407e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.743
y[1] (analytic) = 66151.684819043362471144341446085
y[1] (numeric) = 66151.684819043362469465686296904
absolute error = 1.678655149181e-15
relative error = 2.5375848759905787222703894843232e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.744
y[1] (analytic) = 66284.1205802936732819882673695
y[1] (numeric) = 66284.120580293673280306251294723
absolute error = 1.682016074777e-15
relative error = 2.5375852618267441303938663990357e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.745
y[1] (analytic) = 66416.82147811468410674955731079
y[1] (numeric) = 66416.821478114684105064173581832
absolute error = 1.685383728958e-15
relative error = 2.5375856469032602454282779469701e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.746
y[1] (analytic) = 66549.788043310163164025529601945
y[1] (numeric) = 66549.788043310163162336771476762
absolute error = 1.688758125183e-15
relative error = 2.5375860312041374939586107499469e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.747
y[1] (analytic) = 66683.0208077465485245096458211
y[1] (numeric) = 66683.020807746548522817506544149
absolute error = 1.692139276951e-15
relative error = 2.5375864147330659576707995469165e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.748
y[1] (analytic) = 66816.520304355075577452948911685
y[1] (numeric) = 66816.520304355075575757421713894
absolute error = 1.695527197791e-15
relative error = 2.5375867974981722852835942730168e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.749
y[1] (analytic) = 66950.287067133908756316195261855
y[1] (numeric) = 66950.287067133908754617273360598
absolute error = 1.698921901257e-15
relative error = 2.5375871795044262294193314387633e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.75
y[1] (analytic) = 67084.32163115027753213958619502
y[1] (numeric) = 67084.321631150277530437262794099
absolute error = 1.702323400921e-15
relative error = 2.5375875607431564638606341036459e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.751
y[1] (analytic) = 67218.62453254261668317407519842
y[1] (numeric) = 67218.624532542616681468343488028
absolute error = 1.705731710392e-15
relative error = 2.5375879412203718677554993996127e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.752
y[1] (analytic) = 67353.196308522710849335332268605
y[1] (numeric) = 67353.196308522710847626185425306
absolute error = 1.709146843299e-15
relative error = 2.5375883209312943695598931575055e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.753
y[1] (analytic) = 67488.03749737784338005858604916
y[1] (numeric) = 67488.037497377843378346017235849
absolute error = 1.712568813311e-15
relative error = 2.5375886998900205833975412820142e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=633.2MB, alloc=4.6MB, time=31.64
TOP MAIN SOLVE Loop
x[1] = 4.754
y[1] (analytic) = 67623.148638472949484149738045095
y[1] (numeric) = 67623.14863847294948243374041098
absolute error = 1.715997634115e-15
relative error = 2.5375890780967194359071119715419e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.755
y[1] (analytic) = 67758.53027225277369024535118928
y[1] (numeric) = 67758.530272252773688525917869862
absolute error = 1.719433319418e-15
relative error = 2.5375894555406416320120990902783e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.756
y[1] (analytic) = 67894.182940244031626511357477505
y[1] (numeric) = 67894.182940244031624788481594538
absolute error = 1.722875882967e-15
relative error = 2.5375898322296055578074878680444e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.757
y[1] (analytic) = 68030.1071850575761282276063493
y[1] (numeric) = 68030.107185057576126501281010765
absolute error = 1.726325338535e-15
relative error = 2.5375902081691523264764548172555e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.758
y[1] (analytic) = 68166.30355039056768192268704091
y[1] (numeric) = 68166.303550390567680192905340992
absolute error = 1.729781699918e-15
relative error = 2.5375905833580864475111910778856e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.759
y[1] (analytic) = 68302.772581028649214740804343625
y[1] (numeric) = 68302.772581028649213007559362687
absolute error = 1.733244980938e-15
relative error = 2.5375909577928543446827823456951e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.76
y[1] (analytic) = 68439.5148228481252377398681347
y[1] (numeric) = 68439.514822848125236003152939246
absolute error = 1.736715195454e-15
relative error = 2.5375913314835597790658294116993e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.761
y[1] (analytic) = 68576.5308228181453518373727787
y[1] (numeric) = 68576.530822818145350097180421355
absolute error = 1.740192357345e-15
relative error = 2.5375917044289569638702592305579e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.762
y[1] (analytic) = 68713.821129002892125138093094195
y[1] (numeric) = 68713.821129002892123394416613678
absolute error = 1.743676480517e-15
relative error = 2.5375920766266699545252262716803e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.763
y[1] (analytic) = 68851.38629056377335039510911372
y[1] (numeric) = 68851.386290563773348647941534811
absolute error = 1.747167578909e-15
relative error = 2.5375924480818376417269894801333e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.764
y[1] (analytic) = 68989.226857761618691373192404105
y[1] (numeric) = 68989.226857761618689622526737624
absolute error = 1.750665666481e-15
relative error = 2.5375928187895639846062216570073e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.765
y[1] (analytic) = 69127.34338195888072690114232962
y[1] (numeric) = 69127.343381958880725146971572386
absolute error = 1.754170757234e-15
relative error = 2.5375931887638693979536356924790e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.766
y[1] (analytic) = 69265.736415621840401417251401935
y[1] (numeric) = 69265.736415621840399659568536757
absolute error = 1.757682865178e-15
relative error = 2.5375935579912223157046601810984e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.767
y[1] (analytic) = 69404.40651232281689082970483947
y[1] (numeric) = 69404.406512322816889068502835099
absolute error = 1.761202004371e-15
relative error = 2.5375939264869255052360406260154e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.768
y[1] (analytic) = 69543.354226742381892531380724085
y[1] (numeric) = 69543.354226742381890766652535199
absolute error = 1.764728188886e-15
relative error = 2.5375942942472953698130680593319e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.769
y[1] (analytic) = 69682.58011467157834842621376681
y[1] (numeric) = 69682.580114671578346657952333986
absolute error = 1.768261432824e-15
relative error = 2.5375946612684262692886741309433e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.77
y[1] (analytic) = 69822.084733014143609842017746325
y[1] (numeric) = 69822.084733014143608070215996
absolute error = 1.771801750325e-15
relative error = 2.5375950275618664439054127532035e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.771
y[1] (analytic) = 69961.868639788737053222429235665
y[1] (numeric) = 69961.868639788737051447080080121
absolute error = 1.775349155544e-15
relative error = 2.5375953931200786160202214966106e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.772
y[1] (analytic) = 70101.93239413117215550843835516
y[1] (numeric) = 70101.932394131172153729534692487
absolute error = 1.778903662673e-15
relative error = 2.5375957579479322975454595901379e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.773
y[1] (analytic) = 70242.276556296653038137811053755
y[1] (numeric) = 70242.276556296653036355345767826
absolute error = 1.782465285929e-15
relative error = 2.5375961220454156488832651023311e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.774
y[1] (analytic) = 70382.90168766201548860858189851
y[1] (numeric) = 70382.901687662015486822547858948
absolute error = 1.786034039562e-15
relative error = 2.5375964854189696775923142484815e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.775
y[1] (analytic) = 70523.808350727972468570706614245
y[1] (numeric) = 70523.808350727972466781096676402
absolute error = 1.789609937843e-15
relative error = 2.5375968480643274755634685913750e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.776
y[1] (analytic) = 70664.99710912136411742790973399
y[1] (numeric) = 70664.997109121364115634716738913
absolute error = 1.793192995077e-15
relative error = 2.5375972099849368261611125230803e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.777
y[1] (analytic) = 70806.468527597412260449744767595
y[1] (numeric) = 70806.468527597412258652961542
absolute error = 1.796783225595e-15
relative error = 2.5375975711805041325711034627988e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.778
y[1] (analytic) = 70948.223172041979430411902342785
y[1] (numeric) = 70948.223172041979428611521699025
absolute error = 1.800380643760e-15
relative error = 2.5375979316554077589721246429183e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.779
y[1] (analytic) = 71090.2616094738324118008558919
y[1] (numeric) = 71090.261609473832409996870627935
absolute error = 1.803985263965e-15
relative error = 2.5375982914157572752363443983557e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.78
y[1] (analytic) = 71232.584408046910316637024720955
y[1] (numeric) = 71232.584408046910314829427620336
absolute error = 1.807597100619e-15
relative error = 2.5375986504496412914117515913327e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.781
y[1] (analytic) = 71375.19213705259720098876077784
y[1] (numeric) = 71375.192137052597199177544609661
absolute error = 1.811216168179e-15
relative error = 2.5375990087720599783904541902690e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.782
y[1] (analytic) = 71518.08536692199923126762820564
y[1] (numeric) = 71518.085366921999229452785724525
absolute error = 1.814842481115e-15
relative error = 2.5375993663756372565268380178030e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=637.0MB, alloc=4.6MB, time=31.83
TOP MAIN SOLVE Loop
x[1] = 4.783
y[1] (analytic) = 71661.264669228226409413643898545
y[1] (numeric) = 71661.264669228226407595167844612
absolute error = 1.818476053933e-15
relative error = 2.5375997232628584093043402861982e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.784
y[1] (analytic) = 71804.73061668867886609738284353
y[1] (numeric) = 71804.730616688678864275265942361
absolute error = 1.822116901169e-15
relative error = 2.5376000794375350972166138611551e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.785
y[1] (analytic) = 71948.483783167337731084124104645
y[1] (numeric) = 71948.483783167337729258359067255
absolute error = 1.825765037390e-15
relative error = 2.5376004349061011219562134198708e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.786
y[1] (analytic) = 72092.52474367706058992352196098
y[1] (numeric) = 72092.524743677060588094101483797
absolute error = 1.829420477183e-15
relative error = 2.5376007896622471394303140112911e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.787
y[1] (analytic) = 72236.854074381881536146632017635
y[1] (numeric) = 72236.854074381881534313548782466
absolute error = 1.833083235169e-15
relative error = 2.5376011437063476261416955578580e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.788
y[1] (analytic) = 72381.472352599315828170504144495
y[1] (numeric) = 72381.472352599315826333750818493
absolute error = 1.836753326002e-15
relative error = 2.5376014970439320203071904037600e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.789
y[1] (analytic) = 72526.380156802669160128972934065
y[1] (numeric) = 72526.380156802669158288542169706
absolute error = 1.840430764359e-15
relative error = 2.5376018496717643525815985531420e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.79
y[1] (analytic) = 72671.57806662335155586673208059
y[1] (numeric) = 72671.578066623351554022616515633
absolute error = 1.844115564957e-15
relative error = 2.5376022016012427363800879624955e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.791
y[1] (analytic) = 72817.066662853195895352271741885
y[1] (numeric) = 72817.066662853195893504463999356
absolute error = 1.847807742529e-15
relative error = 2.5376025528252132260808603039016e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.792
y[1] (analytic) = 72962.846527446781082783787627075
y[1] (numeric) = 72962.846527446781080932280315229
absolute error = 1.851507311846e-15
relative error = 2.5376029033482262597411778236723e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.793
y[1] (analytic) = 73108.918243523759865680737331365
y[1] (numeric) = 73108.918243523759863825523043656
absolute error = 1.855214287709e-15
relative error = 2.5376032531753966696558751071377e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.794
y[1] (analytic) = 73255.28239537119131427232338786
y[1] (numeric) = 73255.282395371191312413394702921
absolute error = 1.858928684939e-15
relative error = 2.5376036022986661996030187559677e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.795
y[1] (analytic) = 73401.93956844587797051282370036
y[1] (numeric) = 73401.939568445877968650173181962
absolute error = 1.862650518398e-15
relative error = 2.5376039507254637277146290292932e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.796
y[1] (analytic) = 73548.89034937670767607236853459
y[1] (numeric) = 73548.890349376707674205988731621
absolute error = 1.866379802969e-15
relative error = 2.5376042984512773044221794099086e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.797
y[1] (analytic) = 73696.13532596700008867047915349
y[1] (numeric) = 73696.135325967000086800362599911
absolute error = 1.870116553579e-15
relative error = 2.5376046454909016096740576039921e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.798
y[1] (analytic) = 73843.675087196857896138436559305
y[1] (numeric) = 73843.675087196857894264575774141
absolute error = 1.873860785164e-15
relative error = 2.5376049918307670647594538878184e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.799
y[1] (analytic) = 73991.51022322552273761533972704
y[1] (numeric) = 73991.510223225522735737727214332
absolute error = 1.877612512708e-15
relative error = 2.5376053374818505804091728302657e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.8
y[1] (analytic) = 74139.6413253937358413015412546
y[1] (numeric) = 74139.641325393735839420169503384
absolute error = 1.881371751216e-15
relative error = 2.5376056824429323430063378486173e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.801
y[1] (analytic) = 74288.06898622610338821201459097
y[1] (numeric) = 74288.068986226103386326876075248
absolute error = 1.885138515722e-15
relative error = 2.5376060267114053409218780208607e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.802
y[1] (analytic) = 74436.793799433466611391111009695
y[1] (numeric) = 74436.793799433466609502198188401
absolute error = 1.888912821294e-15
relative error = 2.5376063702899256084820226993420e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.803
y[1] (analytic) = 74585.81635991527664006910634681
y[1] (numeric) = 74585.816359915276638176411663777
absolute error = 1.892694683033e-15
relative error = 2.5376067131849382437586585066884e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.804
y[1] (analytic) = 74735.13726376197409825991729587
y[1] (numeric) = 74735.137263761974096363433179802
absolute error = 1.896484116068e-15
relative error = 2.5376070553998683856304203452911e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.805
y[1] (analytic) = 74884.757108257373467318384823745
y[1] (numeric) = 74884.757108257373465418103688197
absolute error = 1.900281135548e-15
relative error = 2.5376073969243872730698313427836e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.806
y[1] (analytic) = 75034.676491881052221994578115505
y[1] (numeric) = 75034.676491881052220090492358835
absolute error = 1.904085756670e-15
relative error = 2.5376077377717848187701801798465e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.807
y[1] (analytic) = 75184.896014310744749541666451025
y[1] (numeric) = 75184.89601431074474763376845638
absolute error = 1.907897994645e-15
relative error = 2.5376080779334314504115244894108e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.808
y[1] (analytic) = 75335.41627642474106145303863682
y[1] (numeric) = 75335.416276424741059541320772091
absolute error = 1.911717864729e-15
relative error = 2.5376084174200650899610731715284e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.809
y[1] (analytic) = 75486.23788030429030742352013974
y[1] (numeric) = 75486.237880304290305507974757548
absolute error = 1.915545382192e-15
relative error = 2.5376087562204501567279466418030e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.81
y[1] (analytic) = 75637.36142923600910114874697221
y[1] (numeric) = 75637.361429236009099229366409854
absolute error = 1.919380562356e-15
relative error = 2.5376090943517556050332322111713e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=640.8MB, alloc=4.6MB, time=32.02
x[1] = 4.811
y[1] (analytic) = 75788.78752771429466759600273747
y[1] (numeric) = 75788.787527714294665672779316919
absolute error = 1.923223420551e-15
relative error = 2.5376094318011347583017143346629e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.812
y[1] (analytic) = 75940.51678144374282139911113585
y[1] (numeric) = 75940.516781443742819472037163691
absolute error = 1.927073972159e-15
relative error = 2.5376097685838837942273844784165e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.813
y[1] (analytic) = 76092.549797341570786049300735455
y[1] (numeric) = 76092.549797341570784118368502885
absolute error = 1.930932232570e-15
relative error = 2.5376101046852560174808569343997e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.814
y[1] (analytic) = 76244.88718354004486357332200132
y[1] (numeric) = 76244.887183540044861638523784092
absolute error = 1.934798217228e-15
relative error = 2.5376104401210125207991628197631e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.815
y[1] (analytic) = 76397.52954938891296440949853222
y[1] (numeric) = 76397.529549388912962470826590628
absolute error = 1.938671941592e-15
relative error = 2.5376107748859884572786895049099e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.816
y[1] (analytic) = 76550.47750545784200721183525286
y[1] (numeric) = 76550.477505457842005269281831706
absolute error = 1.942553421154e-15
relative error = 2.5376111089777345868476641423076e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.817
y[1] (analytic) = 76703.731663538860198331786027675
y[1] (numeric) = 76703.731663538860196385343356225
absolute error = 1.946442671450e-15
relative error = 2.5376114424107504741395952307374e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.818
y[1] (analytic) = 76857.29263664880420074680187965
y[1] (numeric) = 76857.292636648804198796462171624
absolute error = 1.950339708026e-15
relative error = 2.5376117751719966637780313862191e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.819
y[1] (analytic) = 77011.16103903177120222433879136
y[1] (numeric) = 77011.161039031771200270094244885
absolute error = 1.954244546475e-15
relative error = 2.5376121072691334289724163245695e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.82
y[1] (analytic) = 77165.33748616157589252960101355
y[1] (numeric) = 77165.337486161575890571443811137
absolute error = 1.958157202413e-15
relative error = 2.5376124386991316813343920629922e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.821
y[1] (analytic) = 77319.82259474421235950493198831
y[1] (numeric) = 77319.822594744212357542854296814
absolute error = 1.962077691496e-15
relative error = 2.5376127694702852801183791856080e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.822
y[1] (analytic) = 77474.61698272032091386844048685
y[1] (numeric) = 77474.616982720320911902434457445
absolute error = 1.966006029405e-15
relative error = 2.5376130995826560847090332156043e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.823
y[1] (analytic) = 77629.721269267659852599164445545
y[1] (numeric) = 77629.721269267659850629222213696
absolute error = 1.969942231849e-15
relative error = 2.5376134290319395886279161232888e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.824
y[1] (analytic) = 77785.136074803582170795829336565
y[1] (numeric) = 77785.136074803582168821943021992
absolute error = 1.973886314573e-15
relative error = 2.5376137578197125058596175501809e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.825
y[1] (analytic) = 77940.862020987517231916051810405
y[1] (numeric) = 77940.862020987517229938213517042
absolute error = 1.977838293363e-15
relative error = 2.5376140859597085370055018884742e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.826
y[1] (analytic) = 78096.89973072345740632267287599
y[1] (numeric) = 78096.899730723457404340874691976
absolute error = 1.981798184014e-15
relative error = 2.5376144134366413479421239576539e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.827
y[1] (analytic) = 78253.249828162449688083778119315
y[1] (numeric) = 78253.249828162449686098012116939
absolute error = 1.985766002376e-15
relative error = 2.5376147402651966608745444674198e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.828
y[1] (analytic) = 78409.9129387050922999928754827
y[1] (numeric) = 78409.912938705092298003133718386
absolute error = 1.989741764314e-15
relative error = 2.5376150664386387123717865478427e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.829
y[1] (analytic) = 78566.889689004036296795654014325
y[1] (numeric) = 78566.889689004036294801928528595
absolute error = 1.993725485730e-15
relative error = 2.5376153919569445135187938021170e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.83
y[1] (analytic) = 78724.18070696649217662973983046
y[1] (numeric) = 78724.180706966492174632022647898
absolute error = 1.997717182562e-15
relative error = 2.5376157168253860273129940492510e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.831
y[1] (analytic) = 78881.78662175674151070389839159
y[1] (numeric) = 78881.786621756741508702181520813
absolute error = 2.001716870777e-15
relative error = 2.5376160410455224621085952153021e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.832
y[1] (analytic) = 79039.708063798653601263205158095
y[1] (numeric) = 79039.708063798653599257480591718
absolute error = 2.005724566377e-15
relative error = 2.5376163646227475002885449357653e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.833
y[1] (analytic) = 79197.945664778207177906819841685
y[1] (numeric) = 79197.945664778207175897079556299
absolute error = 2.009740285386e-15
relative error = 2.5376166875497555895665593472223e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.834
y[1] (analytic) = 79356.500057646017142345152885995
y[1] (numeric) = 79356.500057646017140331388842126
absolute error = 2.013764043869e-15
relative error = 2.5376170098305304083547358531505e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.835
y[1] (analytic) = 79515.371876619866371703406573945
y[1] (numeric) = 79515.371876619866369685610716023
absolute error = 2.017795857922e-15
relative error = 2.5376173314675754199320210094564e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.836
y[1] (analytic) = 79674.561757187242590498707351805
y[1] (numeric) = 79674.56175718724258847687160813
absolute error = 2.021835743675e-15
relative error = 2.5376176524656130453054898520476e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.837
y[1] (analytic) = 79834.07033610788032143832066096
y[1] (numeric) = 79834.070336107880319412436943682
absolute error = 2.025883717278e-15
relative error = 2.5376179728139452503413588686047e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.838
y[1] (analytic) = 79993.898251416307925206754859575
y[1] (numeric) = 79993.898251416307923176815064637
absolute error = 2.029939794938e-15
relative error = 2.5376182925327801624061518994666e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.839
y[1] (analytic) = 80154.046142424399739429916778485
y[1] (numeric) = 80154.04614242439973739591278562
absolute error = 2.034003992865e-15
relative error = 2.5376186116054726978409175639634e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=644.7MB, alloc=4.6MB, time=32.21
x[1] = 4.84
y[1] (analytic) = 80314.514649723933327024878170975
y[1] (numeric) = 80314.514649723933324986801843653
absolute error = 2.038076327322e-15
relative error = 2.5376189300410663941588685879607e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.841
y[1] (analytic) = 80475.30441518915184416424986501
y[1] (numeric) = 80475.304415189151842122093050411
absolute error = 2.042156814599e-15
relative error = 2.5376192478416486228520475926439e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.842
y[1] (analytic) = 80636.416081979331538104638892005
y[1] (numeric) = 80636.416081979331536058393420984
absolute error = 2.046245471021e-15
relative error = 2.5376195650122600235888343151553e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.843
y[1] (analytic) = 80797.85029454135438514918332924
y[1] (numeric) = 80797.850294541354383098841016308
absolute error = 2.050342312932e-15
relative error = 2.5376198815409816372123445996495e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.844
y[1] (analytic) = 80959.607698612285879034720136315
y[1] (numeric) = 80959.607698612285876980272779585
absolute error = 2.054447356730e-15
relative error = 2.5376201974422547922207547769290e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.845
y[1] (analytic) = 81121.688941221957980054742971255
y[1] (numeric) = 81121.688941221957977996182352424
absolute error = 2.058560618831e-15
relative error = 2.5376205127121596929135727155316e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.846
y[1] (analytic) = 81284.09467069555723524994992214
y[1] (numeric) = 81284.094670695557233187267806452
absolute error = 2.062682115688e-15
relative error = 2.5376208273518923043842573105517e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.847
y[1] (analytic) = 81446.82553665621808001886536722
y[1] (numeric) = 81446.825536656218077952053503432
absolute error = 2.066811863788e-15
relative error = 2.5376211413639492436411373052267e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.848
y[1] (analytic) = 81609.88219002762133152174586374
y[1] (numeric) = 81609.882190027621329450795984092
absolute error = 2.070949879648e-15
relative error = 2.5376214547471325974293963679532e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.849
y[1] (analytic) = 81773.265283036597884271747145785
y[1] (numeric) = 81773.265283036597882196650965963
absolute error = 2.075096179822e-15
relative error = 2.5376217675050662121451753835177e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.85
y[1] (analytic) = 81936.97546921573761832813806737
y[1] (numeric) = 81936.975469215737616248887286478
absolute error = 2.079250780892e-15
relative error = 2.5376220796350827463116477330776e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.851
y[1] (analytic) = 82101.01340340600353052719774222
y[1] (numeric) = 82101.013403406003528443784042739
absolute error = 2.083413699481e-15
relative error = 2.5376223911440397540405820504045e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.852
y[1] (analytic) = 82265.37974175935109920732428928
y[1] (numeric) = 82265.379741759351097119739337043
absolute error = 2.087584952237e-15
relative error = 2.5376227020286946129377018029192e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.853
y[1] (analytic) = 82430.075141741352892905817576945
y[1] (numeric) = 82430.075141741352890814053021098
absolute error = 2.091764555847e-15
relative error = 2.5376230122927084696387881641289e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.854
y[1] (analytic) = 82595.10026213382843352577425256
y[1] (numeric) = 82595.100262133828431429821725527
absolute error = 2.095952527033e-15
relative error = 2.5376233219416537239767589273142e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.855
y[1] (analytic) = 82760.455763037479324492551231275
y[1] (numeric) = 82760.455763037479322392402348735
absolute error = 2.100148882540e-15
relative error = 2.5376236309684143369148324481220e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.856
y[1] (analytic) = 82926.14230587452965444031378365
y[1] (numeric) = 82926.142305874529652335960144494
absolute error = 2.104353639156e-15
relative error = 2.5376239393773494382881731088391e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.857
y[1] (analytic) = 83092.16055339137168699028648867
y[1] (numeric) = 83092.160553391371684881719674971
absolute error = 2.108566813699e-15
relative error = 2.5376242471684529206279360380318e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.858
y[1] (analytic) = 83258.51116966121684720346969283
y[1] (numeric) = 83258.511169661216845090681269804
absolute error = 2.112788423026e-15
relative error = 2.5376245543481258055162019567428e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.859
y[1] (analytic) = 83425.19482008675201531177082074
y[1] (numeric) = 83425.194820086752013194752336724
absolute error = 2.117018484016e-15
relative error = 2.5376248609086539251453787873269e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.86
y[1] (analytic) = 83592.212171402801138352729003585
y[1] (numeric) = 83592.212171402801136231471989988
absolute error = 2.121257013597e-15
relative error = 2.5376251668605675629318072865497e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.861
y[1] (analytic) = 83759.563891678992170354283113045
y[1] (numeric) = 83759.563891678992168228779084326
absolute error = 2.125504028719e-15
relative error = 2.5376254722001435996359790546577e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.862
y[1] (analytic) = 83927.250650322429351737347495775
y[1] (numeric) = 83927.250650322429349607587949405
absolute error = 2.129759546370e-15
relative error = 2.5376257769285308402485236303396e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.863
y[1] (analytic) = 84095.273118080370838625316581725
y[1] (numeric) = 84095.273118080370836491292998147
absolute error = 2.134023583578e-15
relative error = 2.5376260810539989720870082175296e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.864
y[1] (analytic) = 84263.63196704291169277101917448
y[1] (numeric) = 84263.63196704291169063272301709
absolute error = 2.138296157390e-15
relative error = 2.5376263845668648230938392698909e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.865
y[1] (analytic) = 84432.327870645672242833085708835
y[1] (numeric) = 84432.327870645672240690508423934
absolute error = 2.142577284901e-15
relative error = 2.5376266874739376398201113442762e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.866
y[1] (analytic) = 84601.36150367249182775517716546
y[1] (numeric) = 84601.361503672491825608310182227
absolute error = 2.146866983233e-15
relative error = 2.5376269897734516437795865531018e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.867
y[1] (analytic) = 84770.7335422581279330230527513
y[1] (numeric) = 84770.733542258127930871887481751
absolute error = 2.151165269549e-15
relative error = 2.5376272914715857834433265678658e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.868
y[1] (analytic) = 84940.444663890960730596024972785
y[1] (numeric) = 84940.444663890960728440552811743
absolute error = 2.155472161042e-15
relative error = 2.5376275925693534118171370149303e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=648.5MB, alloc=4.6MB, time=32.39
TOP MAIN SOLVE Loop
x[1] = 4.869
y[1] (analytic) = 85110.49554741570303333096543375
y[1] (numeric) = 85110.495547415703031171177758819
absolute error = 2.159787674931e-15
relative error = 2.5376278930578730964346287921744e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.87
y[1] (analytic) = 85280.88687303611567473868266738
y[1] (numeric) = 85280.886873036115672574570838889
absolute error = 2.164111828491e-15
relative error = 2.5376281929535645232052789560130e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.871
y[1] (analytic) = 85451.61932231772832493419464811
y[1] (numeric) = 85451.6193223177283227657500091
absolute error = 2.168444639010e-15
relative error = 2.5376284922474944453206873265570e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.872
y[1] (analytic) = 85622.693578190565753664163412455
y[1] (numeric) = 85622.693578190565751491377288632
absolute error = 2.172786123823e-15
relative error = 2.5376287909452576280282930157388e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.873
y[1] (analytic) = 85794.110324951879551316547533405
y[1] (numeric) = 85794.110324951879549139411233114
absolute error = 2.177136300291e-15
relative error = 2.5376290890422740898135992761150e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.874
y[1] (analytic) = 85965.87024826888531883936012939
y[1] (numeric) = 85965.87024826888531665786494357
absolute error = 2.181495185820e-15
relative error = 2.5376293865459115443130676131461e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.875
y[1] (analytic) = 86137.97403518150533751729573234
y[1] (numeric) = 86137.974035181505335331432934497
absolute error = 2.185862797843e-15
relative error = 2.5376296834543887431913257772911e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.876
y[1] (analytic) = 86310.42237410511672957690877833
y[1] (numeric) = 86310.422374105116727386669624495
absolute error = 2.190239153835e-15
relative error = 2.5376299797741649345673705208357e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.877
y[1] (analytic) = 86483.21595483330512061298980566
y[1] (numeric) = 86483.215954833305118418365534366
absolute error = 2.194624271294e-15
relative error = 2.5376302754978072551106825041199e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.878
y[1] (analytic) = 86656.3554685406238148507927375
y[1] (numeric) = 86656.355468540623812651774569738
absolute error = 2.199018167762e-15
relative error = 2.5376305706282821314857855092395e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.879
y[1] (analytic) = 86829.84160778535849428081797685
y[1] (numeric) = 86829.841607785358492077397116031
absolute error = 2.203420860819e-15
relative error = 2.5376308651718608454594378994176e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.88
y[1] (analytic) = 87003.675066512297452724951539225
y[1] (numeric) = 87003.675066512297450517119171154
absolute error = 2.207832368071e-15
relative error = 2.5376311591242131038605798502856e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.881
y[1] (analytic) = 87177.856540055507375914900181315
y[1] (numeric) = 87177.856540055507373702647474143
absolute error = 2.212252707172e-15
relative error = 2.5376314524956676887003541003984e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.882
y[1] (analytic) = 87352.38672514111467868604654031
y[1] (numeric) = 87352.386725141114676469364644517
absolute error = 2.216681895793e-15
relative error = 2.5376317452754969691029004536280e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.883
y[1] (analytic) = 87527.26631989009241041207676788
y[1] (numeric) = 87527.266319890092408190956816225
absolute error = 2.221119951655e-15
relative error = 2.5376320374697486041684409201702e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.884
y[1] (analytic) = 87702.49602382105273982800611308
y[1] (numeric) = 87702.496023821052737602439220564
absolute error = 2.225566892516e-15
relative error = 2.5376323290861747703799177167977e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.885
y[1] (analytic) = 87878.076537853045030411545469645
y[1] (numeric) = 87878.076537853045028181522733494
absolute error = 2.230022736151e-15
relative error = 2.5376326201113753116829187255049e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.886
y[1] (analytic) = 88054.00856430835951751511414397
y[1] (numeric) = 88054.008564308359515280626643572
absolute error = 2.234487500398e-15
relative error = 2.5376329105631686314885423314159e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.887
y[1] (analytic) = 88230.292806915336598463211109905
y[1] (numeric) = 88230.292806915336596224249906801
absolute error = 2.238961203104e-15
relative error = 2.5376332004289961084159298405929e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.888
y[1] (analytic) = 88406.929970811181746852308885765
y[1] (numeric) = 88406.929970811181744608865023594
absolute error = 2.243443862171e-15
relative error = 2.5376334897181761964190451484462e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.889
y[1] (analytic) = 88583.920762544786062312930986185
y[1] (numeric) = 88583.920762544786060064995490657
absolute error = 2.247935495528e-15
relative error = 2.5376337784299971521084075660838e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.89
y[1] (analytic) = 88761.26589007955246701611575796
y[1] (numeric) = 88761.26589007955246476367963682
absolute error = 2.252436121140e-15
relative error = 2.5376340665638756467449104063562e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.891
y[1] (analytic) = 88938.966062796227560229056393965
y[1] (numeric) = 88938.966062796227557972110636952
absolute error = 2.256945757013e-15
relative error = 2.5376343541248965682119365888147e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.892
y[1] (analytic) = 89117.021991495739142247339123485
y[1] (numeric) = 89117.021991495739139985874702307
absolute error = 2.261464421178e-15
relative error = 2.5376346411057217211503388291539e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.893
y[1] (analytic) = 89295.434388402039419053879091355
y[1] (numeric) = 89295.434388402039416787886959636
absolute error = 2.265992131719e-15
relative error = 2.5376349275179895407752863722918e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.894
y[1] (analytic) = 89474.20396716495389907737635248
y[1] (numeric) = 89474.203967164953896806847445739
absolute error = 2.270528906741e-15
relative error = 2.5376352133562805344194857472978e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.895
y[1] (analytic) = 89653.33144286303599344588281421
y[1] (numeric) = 89653.331442863035991170808049816
absolute error = 2.275074764394e-15
relative error = 2.5376354986249762302105781400796e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.896
y[1] (analytic) = 89832.81753200642733115388494687
y[1] (numeric) = 89832.817532006427328874255224011
absolute error = 2.279629722859e-15
relative error = 2.5376357833224961992108592131683e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=652.3MB, alloc=4.6MB, time=32.57
x[1] = 4.897
y[1] (analytic) = 90012.6629525397238005841667446
y[1] (numeric) = 90012.662952539723798299972944245
absolute error = 2.284193800355e-15
relative error = 2.5376360674490533476909965291156e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.898
y[1] (analytic) = 90192.868423844847328848622845315
y[1] (numeric) = 90192.868423844847326559855830171
absolute error = 2.288767015144e-15
relative error = 2.5376363510120989636247114383932e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.899
y[1] (analytic) = 90373.434666743923410435143002055
y[1] (numeric) = 90373.434666743923408141793616546
absolute error = 2.293349385509e-15
relative error = 2.5376366340018261832959890250637e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.9
y[1] (analytic) = 90554.36240350216439667068633005
y[1] (numeric) = 90554.36240350216439437274540026
absolute error = 2.297940929790e-15
relative error = 2.5376369164310164513907295580866e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.901
y[1] (analytic) = 90735.65235783075855753370702606
y[1] (numeric) = 90735.652357830758555231165359712
absolute error = 2.302541666348e-15
relative error = 2.5376371982950577837944548116364e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.902
y[1] (analytic) = 90917.3052548897649273721826619
y[1] (numeric) = 90917.305254889764925065031048313
absolute error = 2.307151613587e-15
relative error = 2.5376374795962350550846884788670e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.903
y[1] (analytic) = 91099.321821291013946106631783975
y[1] (numeric) = 91099.321821291013943794860994024
absolute error = 2.311770789951e-15
relative error = 2.5376377603402873966777230441492e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.904
y[1] (analytic) = 91281.702785101013907520689498435
y[1] (numeric) = 91281.702785101013905204290284528
absolute error = 2.316399213907e-15
relative error = 2.5376380405176691541014855144574e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.905
y[1] (analytic) = 91464.44887584386322626503807957
y[1] (numeric) = 91464.448875843863223944001175596
absolute error = 2.321036903974e-15
relative error = 2.5376383201353278841377243324926e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.906
y[1] (analytic) = 91647.560824504168535223764500095
y[1] (numeric) = 91647.560824504168532898080621393
absolute error = 2.325683878702e-15
relative error = 2.5376385991935453243821871236818e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.907
y[1] (analytic) = 91831.03936352996862491553823964
y[1] (numeric) = 91831.039363529968622585198082958
absolute error = 2.330340156682e-15
relative error = 2.5376388776968124950596701280405e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.908
y[1] (analytic) = 92014.88522683566423662537087468
y[1] (numeric) = 92014.885226835664234290365118148
absolute error = 2.335005756532e-15
relative error = 2.5376391556384919302770799820908e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.909
y[1] (analytic) = 92199.099149804953720986133883405
y[1] (numeric) = 92199.09914980495371864645318648
absolute error = 2.339680696925e-15
relative error = 2.5376394330312169555388936331302e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.91
y[1] (analytic) = 92383.681869293774573752472905705
y[1] (numeric) = 92383.681869293774571408107909153
absolute error = 2.344364996552e-15
relative error = 2.5376397098665682968602295671024e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.911
y[1] (analytic) = 92568.63412363325086053326547611
y[1] (numeric) = 92568.634123633250858184206801954
absolute error = 2.349058674156e-15
relative error = 2.5376399861519326189728364431661e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.912
y[1] (analytic) = 92753.956652632646542272325089285
y[1] (numeric) = 92753.95665263264653991856334078
absolute error = 2.353761748505e-15
relative error = 2.5376402618811549117783919355385e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.913
y[1] (analytic) = 92939.650197582324713290657458785
y[1] (numeric) = 92939.650197582324710932183220365
absolute error = 2.358474238420e-15
relative error = 2.5376405370647197767591037950134e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.914
y[1] (analytic) = 93125.715501256712763727225083615
y[1] (numeric) = 93125.715501256712761364028920876
absolute error = 2.363196162739e-15
relative error = 2.5376408116908472440374753051607e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.915
y[1] (analytic) = 93312.153307917273478238873839365
y[1] (numeric) = 93312.153307917273475870946299001
absolute error = 2.367927540364e-15
relative error = 2.5376410857760025727998751017186e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.916
y[1] (analytic) = 93498.9643633154820828438203549
y[1] (numeric) = 93498.964363315482080471151964692
absolute error = 2.372668390208e-15
relative error = 2.5376413593078486536995840414063e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.917
y[1] (analytic) = 93686.14941469580925181689151815
y[1] (numeric) = 93686.149414695809249439472786909
absolute error = 2.377418731241e-15
relative error = 2.5376416322945524178233543484254e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.918
y[1] (analytic) = 93873.70921079871008656854766914
y[1] (numeric) = 93873.709210798710084186369086673
absolute error = 2.382178582467e-15
relative error = 2.5376419047399987127299445658121e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.919
y[1] (analytic) = 94061.64450186361907846360898173
y[1] (numeric) = 94061.644501863619076076661018815
absolute error = 2.386947962915e-15
relative error = 2.5376421766341837838621949201402e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.92
y[1] (analytic) = 94249.956039631951067559540302295
y[1] (numeric) = 94249.956039631951065167813410623
absolute error = 2.391726891672e-15
relative error = 2.5376424479882863677343916092895e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.921
y[1] (analytic) = 94438.64457735010820926813339965
y[1] (numeric) = 94438.644577350108206871618011797
absolute error = 2.396515387853e-15
relative error = 2.5376427188026090432096026624665e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.922
y[1] (analytic) = 94627.710869772492960968457282345
y[1] (numeric) = 94627.710869772492958567143811736
absolute error = 2.401313470609e-15
relative error = 2.5376429890750598439639039782487e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.923
y[1] (analytic) = 94817.155673164527100623027052395
y[1] (numeric) = 94817.155673164527098216905893265
absolute error = 2.406121159130e-15
relative error = 2.5376432588042593741285193227900e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.924
y[1] (analytic) = 95006.979745305676789473269785505
y[1] (numeric) = 95006.97974530567678706233131285
absolute error = 2.410938472655e-15
relative error = 2.5376435279999785375088006378599e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.925
y[1] (analytic) = 95197.18384549248369091454225301
y[1] (numeric) = 95197.183845492483688498776822569
absolute error = 2.415765430441e-15
relative error = 2.5376437966503824346065583715962e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=656.1MB, alloc=4.6MB, time=32.76
x[1] = 4.926
y[1] (analytic) = 95387.76873454160215767518002722
y[1] (numeric) = 95387.768734541602155254577975409
absolute error = 2.420602051811e-15
relative error = 2.5376440647724859539233889729405e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.927
y[1] (analytic) = 95578.73517479284249944833073577
y[1] (numeric) = 95578.735174792842497022882379671
absolute error = 2.425448356099e-15
relative error = 2.5376443323542410756449897128212e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.928
y[1] (analytic) = 95770.08393011222034314964605019
y[1] (numeric) = 95770.083930112220340719341687498
absolute error = 2.430304362692e-15
relative error = 2.5376445993986007844596408399030e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.929
y[1] (analytic) = 95961.81576589501209799827750514
y[1] (numeric) = 95961.815765895012095563107414117
absolute error = 2.435170091023e-15
relative error = 2.5376448659159943433629959543651e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.93
y[1] (analytic) = 96153.93144906881653764304054627
y[1] (numeric) = 96153.931449068816535202994985726
absolute error = 2.440045560544e-15
relative error = 2.5376451318960917346885277642573e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.931
y[1] (analytic) = 96346.43174809662251158007939356
y[1] (numeric) = 96346.431748096622509135148602799
absolute error = 2.444930790761e-15
relative error = 2.5376453973442570915232414253709e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.932
y[1] (analytic) = 96539.31743297988279813288248096
y[1] (numeric) = 96539.317432979882795683056679742
absolute error = 2.449825801218e-15
relative error = 2.5376456622647379882480776816431e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.933
y[1] (analytic) = 96732.589275261594111290064490935
y[1] (numeric) = 96732.589275261594108835333879444
absolute error = 2.454730611491e-15
relative error = 2.5376459266543929361705591737530e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.934
y[1] (analytic) = 96926.248048029383273720946441715
y[1] (numeric) = 96926.248048029383271261301200512
absolute error = 2.459645241203e-15
relative error = 2.5376461905181599364344053734020e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.935
y[1] (analytic) = 97120.294525918599568313630004435
y[1] (numeric) = 97120.294525918599565849060294428
absolute error = 2.464569710007e-15
relative error = 2.5376464538513910469729343953457e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.936
y[1] (analytic) = 97314.72948511541328060497632565
y[1] (numeric) = 97314.729485115413278135472288044
absolute error = 2.469504037606e-15
relative error = 2.5376467166604190439364069738751e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.937
y[1] (analytic) = 97509.55370335992044449666320646
y[1] (numeric) = 97509.553703359920442022214962727
absolute error = 2.474448243733e-15
relative error = 2.5376469789418563202237081265294e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.938
y[1] (analytic) = 97704.767959949253803676307642225
y[1] (numeric) = 97704.767959949253801196905294051
absolute error = 2.479402348174e-15
relative error = 2.5376472407061512655485063039197e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.939
y[1] (analytic) = 97900.373035740700001187503555195
y[1] (numeric) = 97900.373035740699998703137184462
absolute error = 2.484366370733e-15
relative error = 2.5376475019416187712006135109798e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.94
y[1] (analytic) = 98096.369713154823009617537156605
y[1] (numeric) = 98096.369713154823007128196825332
absolute error = 2.489340331273e-15
relative error = 2.5376477626563757824924222971740e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.941
y[1] (analytic) = 98292.758776178593814396504853515
y[1] (numeric) = 98292.758776178593811902180603828
absolute error = 2.494324249687e-15
relative error = 2.5376480228485594638571600860993e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.942
y[1] (analytic) = 98489.541010368526362726571069905
y[1] (numeric) = 98489.541010368526360227252923989
absolute error = 2.499318145916e-15
relative error = 2.5376482825246218467331028849083e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.943
y[1] (analytic) = 98686.71720285381979068516588023
y[1] (numeric) = 98686.717202853819788180843840302
absolute error = 2.504322039928e-15
relative error = 2.5376485416778865998184839531706e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.944
y[1] (analytic) = 98884.288142339506941071035057945
y[1] (numeric) = 98884.288142339506938561699106202
absolute error = 2.509335951743e-15
relative error = 2.5376488003138812201764725155574e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.945
y[1] (analytic) = 99082.25461910960918458721812115
y[1] (numeric) = 99082.254619109609182072858219729
absolute error = 2.514359901421e-15
relative error = 2.5376490584380234545612937716263e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.946
y[1] (analytic) = 99280.61742503029755698024331372
y[1] (numeric) = 99280.617425030297554460849404672
absolute error = 2.519393909048e-15
relative error = 2.5376493160414399530538713206445e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.947
y[1] (analytic) = 99479.377353553060224780092293605
y[1] (numeric) = 99479.377353553060222255654298841
absolute error = 2.524437994764e-15
relative error = 2.5376495731291745789891049183731e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.948
y[1] (analytic) = 99678.53519971787629231080171136
y[1] (numeric) = 99678.535199717876289781309532608
absolute error = 2.529492178752e-15
relative error = 2.5376498297089334753664633202083e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.949
y[1] (analytic) = 99878.09176015639596266693395308
y[1] (numeric) = 99878.091760156395960132377471864
absolute error = 2.534556481216e-15
relative error = 2.5376500857689506359059451202748e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.95
y[1] (analytic) = 100078.04783309512706537656519392
y[1] (numeric) = 100078.0478330951270628369342715
absolute error = 2.53963092242e-15
relative error = 2.5376503413170709301807076948115e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.951
y[1] (analytic) = 100278.40421835862796349690566272
y[1] (numeric) = 100278.40421835862796095219014005
absolute error = 2.54471552267e-15
relative error = 2.5376505963625238543637930222536e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.952
y[1] (analytic) = 100479.1617173727068529141847575
y[1] (numeric) = 100479.16171737270685036437445521
absolute error = 2.54981030229e-15
relative error = 2.5376508508919430572081099359998e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.953
y[1] (analytic) = 100680.32113316762746664500247718
y[1] (numeric) = 100680.32113316762746409008719551
absolute error = 2.55491528167e-15
relative error = 2.5376511049171865773060857229845e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.954
y[1] (analytic) = 100881.88327038132119696196864898
y[1] (numeric) = 100881.88327038132119440193816775
absolute error = 2.56003048123e-15
relative error = 2.5376513584393193073915119132314e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=659.9MB, alloc=4.6MB, time=32.95
TOP MAIN SOLVE Loop
x[1] = 4.955
y[1] (analytic) = 101083.84893526260564819212273714
y[1] (numeric) = 101083.84893526260564562696681571
absolute error = 2.56515592143e-15
relative error = 2.5376516114585323427730947363881e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.956
y[1] (analytic) = 101286.21893567440963306234971785
y[1] (numeric) = 101286.2189356744096304920580951
absolute error = 2.57029162275e-15
relative error = 2.5376518639543248652081848587882e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.957
y[1] (analytic) = 101488.99408109700462549178170222
y[1] (numeric) = 101488.99408109700462291634409645
absolute error = 2.57543760577e-15
relative error = 2.5376521159644563489686524654570e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.958
y[1] (analytic) = 101692.17518263124268275700078526
y[1] (numeric) = 101692.17518263124268017640689422
absolute error = 2.58059389104e-15
relative error = 2.5376523674564478007731532715910e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.959
y[1] (analytic) = 101895.76305300180084998173609924
y[1] (numeric) = 101895.76305300180084739597560004
absolute error = 2.58576049920e-15
relative error = 2.5376526184459685658440192947312e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.96
y[1] (analytic) = 102099.75850656043205992867735574
y[1] (numeric) = 102099.75850656043205733773990483
absolute error = 2.59093745091e-15
relative error = 2.5376528689277154437315993249211e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.961
y[1] (analytic) = 102304.16235928922254109700837849
y[1] (numeric) = 102304.16235928922253850088361159
absolute error = 2.59612476690e-15
relative error = 2.5376531189244146667528254287899e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.962
y[1] (analytic) = 102508.97542880385574715529736008
y[1] (numeric) = 102508.97542880385574455397489218
absolute error = 2.60132246790e-15
relative error = 2.5376533684181746141987110522875e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.963
y[1] (analytic) = 102714.19853435688282076546592622
y[1] (numeric) = 102714.19853435688281815893535152
absolute error = 2.60653057470e-15
relative error = 2.5376536174092244124066224154900e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.964
y[1] (analytic) = 102919.83249684099960487969666396
y[1] (numeric) = 102919.83249684099960226794755582
absolute error = 2.61174910814e-15
relative error = 2.5376538659059365410945010893984e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.965
y[1] (analytic) = 103125.87813879233021461832867077
y[1] (numeric) = 103125.87813879233021200135058167
absolute error = 2.61697808910e-15
relative error = 2.5376541139149678051810536999355e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.966
y[1] (analytic) = 103332.33628439371718286303301427
y[1] (numeric) = 103332.3362843937171802408154758
absolute error = 2.62221753847e-15
relative error = 2.5376543614121628222233403560041e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.967
y[1] (analytic) = 103539.2077594780181927258548622
y[1] (numeric) = 103539.20775947801819009838738497
absolute error = 2.62746747723e-15
relative error = 2.5376546084200462066461986883401e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.968
y[1] (analytic) = 103746.49339153140941008105655427
y[1] (numeric) = 103746.4933915314094074483286279
absolute error = 2.63272792637e-15
relative error = 2.5376548549301653796900640121599e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.969
y[1] (analytic) = 103954.19400969669542937309614792
y[1] (numeric) = 103954.19400969669542673509724097
absolute error = 2.63799890695e-15
relative error = 2.5376551009610360826922076714571e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.97
y[1] (analytic) = 104162.31044477662584594052908296
y[1] (numeric) = 104162.31044477662584329724864293
absolute error = 2.64328044003e-15
relative error = 2.5376553464905897097328621859945e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.971
y[1] (analytic) = 104370.84352923721846812212668302
y[1] (numeric) = 104370.84352923721846547355413627
absolute error = 2.64857254675e-15
relative error = 2.5376555915331469853790507601376e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.972
y[1] (analytic) = 104579.79409721108918243806434897
y[1] (numeric) = 104579.7940972110891797841891007
absolute error = 2.65387524827e-15
relative error = 2.5376558360816020751038862315592e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.973
y[1] (analytic) = 104789.16298450078848516564460915
y[1] (numeric) = 104789.16298450078848250645604334
absolute error = 2.65918856581e-15
relative error = 2.5376560801457271715977354300132e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.974
y[1] (analytic) = 104998.95102858214469365568577778
y[1] (numeric) = 104998.95102858214469099117325717
absolute error = 2.66451252061e-15
relative error = 2.5376563237138277674111336832939e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.975
y[1] (analytic) = 105209.15906860761385076242594494
y[1] (numeric) = 105209.15906860761384809257881095
absolute error = 2.66984713399e-15
relative error = 2.5376565668099051925550942098890e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.976
y[1] (analytic) = 105419.787945409636335786564484
y[1] (numeric) = 105419.78794540963633311137205674
absolute error = 2.67519242726e-15
relative error = 2.5376568094078467325369874175322e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.977
y[1] (analytic) = 105630.8385015040001953578893245
y[1] (numeric) = 105630.83850150400019267734090269
absolute error = 2.68054842181e-15
relative error = 2.5376570515170469209024316891810e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.978
y[1] (analytic) = 105842.3115810932112077108180051
y[1] (numeric) = 105842.31158109321120502490286602
absolute error = 2.68591513908e-15
relative error = 2.5376572931536290300453711602213e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.979
y[1] (analytic) = 106054.20803006986969383311410237
y[1] (numeric) = 106054.20803006986969114182150184
absolute error = 2.69129260053e-15
relative error = 2.5376575343120092756306665964443e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.98
y[1] (analytic) = 106266.52869602005408899502813264
y[1] (numeric) = 106266.52869602005408629834730498
absolute error = 2.69668082766e-15
relative error = 2.5376577749838528477789353076930e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.981
y[1] (analytic) = 106479.27442822671128819315355496
y[1] (numeric) = 106479.27442822671128549107371293
absolute error = 2.70207984203e-15
relative error = 2.5376580151768038330794173618275e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.982
y[1] (analytic) = 106692.44607767305377907038417096
y[1] (numeric) = 106692.44607767305377636289450574
absolute error = 2.70748966522e-15
relative error = 2.5376582548767541977250757866277e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=663.7MB, alloc=4.6MB, time=33.13
x[1] = 4.983
y[1] (analytic) = 106906.04449704596357590050913106
y[1] (numeric) = 106906.04449704596357318759881217
absolute error = 2.71291031889e-15
relative error = 2.5376584941041040539434511251783e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.984
y[1] (analytic) = 107120.07054073940296825318602388
y[1] (numeric) = 107120.07054073940296553484419915
absolute error = 2.71834182473e-15
relative error = 2.5376587328666601118960089572069e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.985
y[1] (analytic) = 107334.52506485783209798229125644
y[1] (numeric) = 107334.525064857832095258507052
absolute error = 2.72378420444e-15
relative error = 2.5376589711410465600681189345466e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.986
y[1] (analytic) = 107549.40892721963337820796023548
y[1] (numeric) = 107549.40892721963337547872275567
absolute error = 2.72923747981e-15
relative error = 2.5376592089473199019471386675995e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.987
y[1] (analytic) = 107764.72298736054276798999784362
y[1] (numeric) = 107764.72298736054276525529617099
absolute error = 2.73470167263e-15
relative error = 2.5376594462649399473747257038141e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.988
y[1] (analytic) = 107980.46810653708791641776247943
y[1] (numeric) = 107980.46810653708791367758567464
absolute error = 2.74017680479e-15
relative error = 2.5376596831257031339861216802101e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.989
y[1] (analytic) = 108196.64514773003318986910460474
y[1] (numeric) = 108196.64514773003318712344170658
absolute error = 2.74566289816e-15
relative error = 2.5376599195022305531500992484776e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.99
y[1] (analytic) = 108413.25497564783159621847342868
y[1] (numeric) = 108413.25497564783159346731345399
absolute error = 2.75115997469e-15
relative error = 2.5376601554007167062356411309445e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.991
y[1] (analytic) = 108630.29845673008361980189316322
y[1] (numeric) = 108630.29845673008361704522510684
absolute error = 2.75666805638e-15
relative error = 2.5376603908328978117709980769432e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.992
y[1] (analytic) = 108847.77645915100298097415332189
y[1] (numeric) = 108847.77645915100297821196615664
absolute error = 2.76218716525e-15
relative error = 2.5376606257883539893727432891948e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.993
y[1] (analytic) = 109065.68985282288933412125591164
y[1] (numeric) = 109065.68985282288933135353858825
absolute error = 2.76771732339e-15
relative error = 2.5376608602804932813057086704605e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.994
y[1] (analytic) = 109284.03950939960791801891619766
y[1] (numeric) = 109284.03950939960791524565764474
absolute error = 2.77325855292e-15
relative error = 2.5376610943096313774590903666397e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.995
y[1] (analytic) = 109502.82630228007617245572311486
y[1] (numeric) = 109502.82630228007616967691223886
absolute error = 2.77881087600e-15
relative error = 2.5376613278721732762486360347593e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.996
y[1] (analytic) = 109722.05110661175733506743046743
y[1] (numeric) = 109722.0511066117573322830561526
absolute error = 2.78437431483e-15
relative error = 2.5376615609605715578935278913235e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.997
y[1] (analytic) = 109941.71479929416103235677091175
y[1] (numeric) = 109941.71479929416102956682202008
absolute error = 2.78994889167e-15
relative error = 2.5376617935814766878696093852219e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.998
y[1] (analytic) = 110161.81825898235087890116146938
y[1] (numeric) = 110161.81825898235087610562684056
absolute error = 2.79553462882e-15
relative error = 2.5376620257373595889496307061807e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.999
y[1] (analytic) = 110382.36236609045909877870207776
y[1] (numeric) = 110382.36236609045909597757052912
absolute error = 2.80113154864e-15
relative error = 2.5376622574445911850886689839219e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5
y[1] (analytic) = 110603.34800279520818327095756872
y[1] (numeric) = 110603.34800279520818046421789524
absolute error = 2.80673967348e-15
relative error = 2.5376624886699334367824928628135e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.001
y[1] (analytic) = 110824.77605303943959892915858163
y[1] (numeric) = 110824.77605303943959611679955583
absolute error = 2.81235902580e-15
relative error = 2.5376627194392325365029252516209e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.002
y[1] (analytic) = 111046.6474025356495601186583807
y[1] (numeric) = 111046.64740253564955730066875263
absolute error = 2.81798962807e-15
relative error = 2.5376629497466969548307621467071e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.003
y[1] (analytic) = 111268.96293876953188018474046883
y[1] (numeric) = 111268.96293876953187736110896601
absolute error = 2.82363150282e-15
relative error = 2.5376631796000678501634906021704e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.004
y[1] (analytic) = 111491.72355100352791541118638493
y[1] (numeric) = 111491.72355100352791258190171232
absolute error = 2.82928467261e-15
relative error = 2.5376634089934954990581227997345e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.005
y[1] (analytic) = 111714.93013028038361597138425228
y[1] (numeric) = 111714.93013028038361313643509222
absolute error = 2.83494916006e-15
relative error = 2.5376636379344480434405553150488e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.006
y[1] (analytic) = 111938.58356942671369810018662507
y[1] (numeric) = 111938.58356942671369525956163727
absolute error = 2.84062498780e-15
relative error = 2.5376638663988305451936903371525e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.007
y[1] (analytic) = 112162.68476305657295174321107289
y[1] (numeric) = 112162.68476305657294889689889432
absolute error = 2.84631217857e-15
relative error = 2.5376640944203754326073315220738e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.008
y[1] (analytic) = 112387.23460757503469796881886187
y[1] (numeric) = 112387.23460757503469511680810677
absolute error = 2.85201075510e-15
relative error = 2.5376643219832112917669357579615e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.009
y[1] (analytic) = 112612.23400118177641045660615199
y[1] (numeric) = 112612.2340011817764075988854118
absolute error = 2.85772074019e-15
relative error = 2.5376645490933165209938870265377e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.01
y[1] (analytic) = 112837.68384387467251540489844506
y[1] (numeric) = 112837.68384387467251254145628839
absolute error = 2.86344215667e-15
relative error = 2.5376647757427717513145858902405e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.011
y[1] (analytic) = 113063.58503745339438422845270398
y[1] (numeric) = 113063.58503745339438135927767653
absolute error = 2.86917502745e-15
relative error = 2.5376650019540405681171479882624e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=667.5MB, alloc=4.6MB, time=33.31
x[1] = 5.012
y[1] (analytic) = 113289.93848552301753344634273381
y[1] (numeric) = 113289.93848552301753057142335838
absolute error = 2.87491937543e-15
relative error = 2.5376652277001433362716307713184e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.013
y[1] (analytic) = 113516.7450934976360461888321862
y[1] (numeric) = 113516.7450934976360433081569626
absolute error = 2.88067522360e-15
relative error = 2.5376654529931621900280738961884e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.014
y[1] (analytic) = 113744.00576860398422978092603342
y[1] (numeric) = 113744.00576860398422689448343843
absolute error = 2.88644259499e-15
relative error = 2.5376656778398127388705210940384e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.015
y[1] (analytic) = 113971.72141988506552388923567544
y[1] (numeric) = 113971.72141988506552099701416277
absolute error = 2.89222151267e-15
relative error = 2.5376659022414164155652556368209e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.016
y[1] (analytic) = 114199.8929582037886737477951059
y[1] (numeric) = 114199.89295820378867084978310615
absolute error = 2.89801199975e-15
relative error = 2.5376661261938733137505735218562e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.017
y[1] (analytic) = 114428.52129624661118300752588849
y[1] (numeric) = 114428.5212962466111801037118091
absolute error = 2.90381407939e-15
relative error = 2.5376663496963745916920145112801e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.018
y[1] (analytic) = 114657.6073485271900607831671996
y[1] (numeric) = 114657.6073485271900578735394248
absolute error = 2.90962777480e-15
relative error = 2.5376665727512889754258980211270e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.019
y[1] (analytic) = 114887.1520313900398775006639925
y[1] (numeric) = 114887.15203139003987458521088327
absolute error = 2.91545310923e-15
relative error = 2.5376667953553460712298479646320e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.02
y[1] (analytic) = 115117.15626301419814417724155014
y[1] (numeric) = 115117.15626301419814125595144414
absolute error = 2.92129010600e-15
relative error = 2.5376670175256722310665800601913e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.021
y[1] (analytic) = 115347.62096341689802979568843395
y[1] (numeric) = 115347.6209634168980268685496455
absolute error = 2.92713878845e-15
relative error = 2.5376672392561589057840640074284e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.022
y[1] (analytic) = 115578.54705445724843146372222278
y[1] (numeric) = 115578.54705445724842853072304282
absolute error = 2.93299917996e-15
relative error = 2.5376674605349175454265602965499e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.023
y[1] (analytic) = 115809.93545983992141207872358619
y[1] (numeric) = 115809.93545983992140913985228221
absolute error = 2.93887130398e-15
relative error = 2.5376676813701613149923017410531e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.024
y[1] (analytic) = 116041.78710511884702024759426762
y[1] (numeric) = 116041.78710511884701730283908362
absolute error = 2.94475518400e-15
relative error = 2.5376679017640712138142951721096e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.025
y[1] (analytic) = 116274.10291770091550724102358325
y[1] (numeric) = 116274.10291770091550429037273969
absolute error = 2.95065084356e-15
relative error = 2.5376681217213755943929187807481e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.026
y[1] (analytic) = 116506.88382684968695579103618996
y[1] (numeric) = 116506.88382684968695283447788372
absolute error = 2.95655830624e-15
relative error = 2.5376683412406606607743357860266e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.027
y[1] (analytic) = 116740.13076368910833557034125875
y[1] (numeric) = 116740.13076368910833260786366309
absolute error = 2.96247759566e-15
relative error = 2.5376685603143508570902130189803e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.028
y[1] (analytic) = 116973.8446612072380002217099271
y[1] (numeric) = 116973.84466120723799725330119159
absolute error = 2.96840873551e-15
relative error = 2.5376687789543364558337335443596e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.029
y[1] (analytic) = 117208.02645425997764083537411366
y[1] (numeric) = 117208.02645425997763786102236415
absolute error = 2.97435174951e-15
relative error = 2.5376689971575712578877538117222e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.03
y[1] (analytic) = 117442.67707957481171080226558102
y[1] (numeric) = 117442.67707957481170782195891959
absolute error = 2.98030666143e-15
relative error = 2.5376692149231701354882206038703e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.031
y[1] (analytic) = 117677.7974757545543370007996452
y[1] (numeric) = 117677.79747575455433401452615011
absolute error = 2.98627349509e-15
relative error = 2.5376694322523067814073197158524e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.032
y[1] (analytic) = 117913.38858328110373230485327504
y[1] (numeric) = 117913.38858328110372931260100068
absolute error = 2.99225227436e-15
relative error = 2.5376696491481123936233448961663e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.033
y[1] (analytic) = 118149.45134451920412443059261917
y[1] (numeric) = 118149.45134451920412143234959601
absolute error = 2.99824302316e-15
relative error = 2.5376698656155752900415192434747e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.034
y[1] (analytic) = 118385.98670372021521616987036384
y[1] (numeric) = 118385.98670372021521316562459839
absolute error = 3.00424576545e-15
relative error = 2.5376700816529945021661545393109e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.035
y[1] (analytic) = 118622.99560702588919208803888114
y[1] (numeric) = 118622.99560702588918907777835591
absolute error = 3.01026052523e-15
relative error = 2.5376702972519656187594589274116e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.036
y[1] (analytic) = 118860.47900247215528679421099486
y[1] (numeric) = 118860.4790024721552837779236683
absolute error = 3.01628732656e-15
relative error = 2.5376705124141934883721398861602e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.037
y[1] (analytic) = 119098.43783999291192992224649116
y[1] (numeric) = 119098.43783999291192689992029759
absolute error = 3.02232619357e-15
relative error = 2.5376707271597071956015201727947e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.038
y[1] (analytic) = 119336.87307142382648299104935404
y[1] (numeric) = 119336.87307142382647996267220364
absolute error = 3.02837715040e-15
relative error = 2.5376709414763183128241252539384e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.039
y[1] (analytic) = 119575.7856505061425833431282334
y[1] (numeric) = 119575.78565050614258030868801215
absolute error = 3.03444022125e-15
relative error = 2.5376711553616756568285186137379e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.04
y[1] (analytic) = 119815.17653289049511039080097612
y[1] (numeric) = 119815.17653289049510735028554575
absolute error = 3.04051543037e-15
relative error = 2.5376713688147405287361075305488e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=671.4MB, alloc=4.6MB, time=33.50
TOP MAIN SOLVE Loop
x[1] = 5.041
y[1] (analytic) = 120055.04667614073278942991329172
y[1] (numeric) = 120055.04667614073278638331048965
absolute error = 3.04660280207e-15
relative error = 2.5376715818440224251221469761088e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.042
y[1] (analytic) = 120295.3970397377484483114919043
y[1] (numeric) = 120295.3970397377484452587895436
absolute error = 3.05270236070e-15
relative error = 2.5376717944507771697011797574646e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.043
y[1] (analytic) = 120536.22858508331694229236398428
y[1] (numeric) = 120536.22858508331693923354985364
absolute error = 3.05881413064e-15
relative error = 2.5376720066207019938831731903513e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.044
y[1] (analytic) = 120777.54227550394076241644737984
y[1] (numeric) = 120777.54227550394075935150924347
absolute error = 3.06493813637e-15
relative error = 2.5376722183819679280479509470052e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.045
y[1] (analytic) = 121019.33907625470334280915030042
y[1] (numeric) = 121019.33907625470333973807589806
absolute error = 3.07107440236e-15
relative error = 2.5376724297138207116711065267451e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.046
y[1] (analytic) = 121261.61995452313008229811476792
y[1] (numeric) = 121261.61995452313007922089181476
absolute error = 3.07722295316e-15
relative error = 2.5376726406212073413767826232701e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.047
y[1] (analytic) = 121504.3858794330570958043954664
y[1] (numeric) = 121504.38587943305709272101165304
absolute error = 3.08338381336e-15
relative error = 2.5376728511015187365193885538263e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.048
y[1] (analytic) = 121747.63782204850771097908471341
y[1] (numeric) = 121747.63782204850770788952770579
absolute error = 3.08955700762e-15
relative error = 2.5376730611692253789491300973372e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.049
y[1] (analytic) = 121991.37675537757672559137526807
y[1] (numeric) = 121991.37675537757672249563270745
absolute error = 3.09574256062e-15
relative error = 2.5376732708146395050969195295792e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.05
y[1] (analytic) = 122235.60365437632244120509570725
y[1] (numeric) = 122235.60365437632243810315521014
absolute error = 3.10194049711e-15
relative error = 2.5376734800449796985219708833893e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.051
y[1] (analytic) = 122480.31949595266648871185826526
y[1] (numeric) = 122480.31949595266648560370742339
absolute error = 3.10815084187e-15
relative error = 2.5376736888514632896724499822405e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.052
y[1] (analytic) = 122725.5252589703014613201264695
y[1] (numeric) = 122725.52525897030145820575284975
absolute error = 3.11437361975e-15
relative error = 2.5376738972419781933768203005182e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.053
y[1] (analytic) = 122971.22192425260637063073973844
y[1] (numeric) = 122971.22192425260636751013088279
absolute error = 3.12060885565e-15
relative error = 2.5376741052245719681593721213818e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.054
y[1] (analytic) = 123217.41047458656994146072446468
y[1] (numeric) = 123217.41047458656993833386789018
absolute error = 3.12685657450e-15
relative error = 2.5376743127911376506282713766330e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.055
y[1] (analytic) = 123464.09189472672176110857610944
y[1] (numeric) = 123464.09189472672175797545930816
absolute error = 3.13311680128e-15
relative error = 2.5376745199336930758517617590268e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.056
y[1] (analytic) = 123711.26717139907129878561461104
y[1] (numeric) = 123711.26717139907129564622505
absolute error = 3.13938956104e-15
relative error = 2.5376747266604658457826361015078e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.057
y[1] (analytic) = 123958.93729330505481096949608492
y[1] (numeric) = 123958.93729330505480782382120603
absolute error = 3.14567487889e-15
relative error = 2.5376749329875837406354445262073e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.058
y[1] (analytic) = 124207.10325112549014846750749164
y[1] (numeric) = 124207.10325112549014531553471169
absolute error = 3.15197277995e-15
relative error = 2.5376751388986593375943548961750e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.059
y[1] (analytic) = 124455.76603752453948100887779934
y[1] (numeric) = 124455.76603752453947785059450994
absolute error = 3.15828328940e-15
relative error = 2.5376753443852083265441831719206e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.06
y[1] (analytic) = 124704.92664715367995521700929338
y[1] (numeric) = 124704.92664715367995205240286087
absolute error = 3.16460643251e-15
relative error = 2.5376755494705472150134471731987e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.061
y[1] (analytic) = 124954.58607665568230184426621622
y[1] (numeric) = 124954.58607665568229867332398166
absolute error = 3.17094223456e-15
relative error = 2.5376757541453719322085490442759e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.062
y[1] (analytic) = 125204.74532466859740818375498178
y[1] (numeric) = 125204.74532466859740500646426088
absolute error = 3.17729072090e-15
relative error = 2.5376759584159235011790780994735e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.063
y[1] (analytic) = 125455.40539182975087160439092651
y[1] (numeric) = 125455.4053918297508684207390096
absolute error = 3.18365191691e-15
relative error = 2.5376761622718684901954176599100e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.064
y[1] (analytic) = 125706.56728077974555018747106382
y[1] (numeric) = 125706.56728077974554699744521578
absolute error = 3.19002584804e-15
relative error = 2.5376763657182036937252314191736e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.065
y[1] (analytic) = 125958.23199616647212647496072462
y[1] (numeric) = 125958.23199616647212327854818482
absolute error = 3.19641253980e-15
relative error = 2.5376765687670834714507583402690e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.066
y[1] (analytic) = 126210.40054464912770037175442465
y[1] (numeric) = 126210.40054464912769716894240693
absolute error = 3.20281201772e-15
relative error = 2.5376767714059741516407560959478e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.067
y[1] (analytic) = 126463.07393490224242727628792591
y[1] (numeric) = 126463.07393490224242406706361851
absolute error = 3.20922430740e-15
relative error = 2.5376769736373566281310528975987e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.068
y[1] (analytic) = 126716.2531776197142175460593832
y[1] (numeric) = 126716.2531776197142143304099487
absolute error = 3.21564943450e-15
relative error = 2.5376771754706044323810755026273e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=675.2MB, alloc=4.6MB, time=33.69
x[1] = 5.069
y[1] (analytic) = 126969.9392855188515134368628177
y[1] (numeric) = 126969.93928551885151021477539298
absolute error = 3.22208742472e-15
relative error = 2.5376773769060822328515441337859e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.07
y[1] (analytic) = 127224.13327334442415968684706473
y[1] (numeric) = 127224.13327334442415645830876094
absolute error = 3.22853830379e-15
relative error = 2.5376775779272945311288922772549e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.071
y[1] (analytic) = 127478.83615787272238394888793328
y[1] (numeric) = 127478.83615787272238071388583575
absolute error = 3.23500209753e-15
relative error = 2.5376777785480399316429996836519e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.072
y[1] (analytic) = 127734.04895791562390330720071852
y[1] (numeric) = 127734.04895791562390006572188672
absolute error = 3.24147883180e-15
relative error = 2.5376779787728845460067838237967e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.073
y[1] (analytic) = 127989.77269432466917314662455675
y[1] (numeric) = 127989.77269432466916989865602425
absolute error = 3.24796853250e-15
relative error = 2.5376781785971728911088663960558e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.074
y[1] (analytic) = 128246.00838999514479467557953352
y[1] (numeric) = 128246.00838999514479142110830794
absolute error = 3.25447122558e-15
relative error = 2.5376783780148365594645748828028e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.075
y[1] (analytic) = 128502.7570698701750974363320813
y[1] (numeric) = 128502.75706987017509417534514423
absolute error = 3.26098693707e-15
relative error = 2.5376785770416735376431277274757e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.076
y[1] (analytic) = 128760.0197609448219131689041632
y[1] (numeric) = 128760.01976094482190990138847017
absolute error = 3.26751569303e-15
relative error = 2.5376787756762172889259385276938e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.077
y[1] (analytic) = 129017.79749227019255742772716468
y[1] (numeric) = 129017.79749227019255415366964513
absolute error = 3.27405751955e-15
relative error = 2.5376789738998278111150522277239e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.078
y[1] (analytic) = 129276.09129495755603538297243744
y[1] (numeric) = 129276.09129495755603210235999461
absolute error = 3.28061244283e-15
relative error = 2.5376791717386655317576729007270e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.079
y[1] (analytic) = 129534.90220218246748827138718862
y[1] (numeric) = 129534.90220218246748498420669955
absolute error = 3.28718048907e-15
relative error = 2.5376793691782445123976126212350e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.08
y[1] (analytic) = 129794.23124918890089699442701838
y[1] (numeric) = 129794.23124918890089370066533384
absolute error = 3.29376168454e-15
relative error = 2.5376795662176881965227922133906e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.081
y[1] (analytic) = 130054.07947329339005939450500842
y[1] (numeric) = 130054.07947329339005609414895284
absolute error = 3.30035605558e-15
relative error = 2.5376797628695132441510559283598e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.082
y[1] (analytic) = 130314.44791388917785777327198774
y[1] (numeric) = 130314.44791388917785446630835918
absolute error = 3.30696362856e-15
relative error = 2.5376799591287199989860402911709e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.083
y[1] (analytic) = 130575.3376124503738332490035812
y[1] (numeric) = 130575.3376124503738299354191513
absolute error = 3.31358442990e-15
relative error = 2.5376801549882030203625496982445e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.084
y[1] (analytic) = 130836.74961253612008358339701389
y[1] (numeric) = 130836.74961253612008026317852778
absolute error = 3.32021848611e-15
relative error = 2.5376803504692639841670853167938e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.085
y[1] (analytic) = 131098.68495979476550114137453281
y[1] (numeric) = 131098.68495979476549781450870911
absolute error = 3.32686582370e-15
relative error = 2.5376805455525968198470765994244e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.086
y[1] (analytic) = 131361.14470196804836768085085105
y[1] (numeric) = 131361.14470196804836434732438178
absolute error = 3.33352646927e-15
relative error = 2.5376807402471251574093622531125e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.087
y[1] (analytic) = 131624.12988889528732270284935006
y[1] (numeric) = 131624.1298888952873193626489006
absolute error = 3.34020044946e-15
relative error = 2.5376809345516533412225885924631e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.088
y[1] (analytic) = 131887.64157251758072212584602856
y[1] (numeric) = 131887.64157251758071877895823759
absolute error = 3.34688779097e-15
relative error = 2.5376811284700508039576830356223e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.089
y[1] (analytic) = 132151.68080688201440408178149462
y[1] (numeric) = 132151.68080688201440072819297407
absolute error = 3.35358852055e-15
relative error = 2.5376813220035536664093813489900e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.09
y[1] (analytic) = 132416.24864814587787866480979524
y[1] (numeric) = 132416.24864814587787530450713025
absolute error = 3.36030266499e-15
relative error = 2.5376815151431581613087053120906e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.091
y[1] (analytic) = 132681.34615458088895849754870008
y[1] (numeric) = 132681.34615458088895513051844892
absolute error = 3.36703025116e-15
relative error = 2.5376817078997895129819697914971e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.092
y[1] (analytic) = 132946.97438657742684701335933716
y[1] (numeric) = 132946.9743865774268436395880312
absolute error = 3.37377130596e-15
relative error = 2.5376819002664134411872413612082e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.093
y[1] (analytic) = 133213.13440664877370138701395375
y[1] (numeric) = 133213.13440664877369800648809738
absolute error = 3.38052585637e-15
relative error = 2.5376820922556681921488496946287e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.094
y[1] (analytic) = 133479.82727943536468708000918056
y[1] (numeric) = 133479.82727943536468369271525116
absolute error = 3.38729392940e-15
relative error = 2.5376822838621286612024451069204e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.095
y[1] (analytic) = 133747.05407170904654100074864719
y[1] (numeric) = 133747.05407170904653760667309508
absolute error = 3.39407555211e-15
relative error = 2.5376824750773591565493149466962e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.096
y[1] (analytic) = 134014.81585237734466031385326778
y[1] (numeric) = 134014.81585237734465691298251613
absolute error = 3.40087075165e-15
relative error = 2.5376826659197103516715741740089e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.097
y[1] (analytic) = 134283.1136924877387339669601233
y[1] (numeric) = 134283.11369248773873055928056812
absolute error = 3.40767955518e-15
relative error = 2.5376828563743956186459612764311e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=679.0MB, alloc=4.6MB, time=33.86
x[1] = 5.098
y[1] (analytic) = 134551.94866523194693403754174883
y[1] (numeric) = 134551.94866523194693062303975888
absolute error = 3.41450198995e-15
relative error = 2.5376830464531971421657903663244e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.099
y[1] (analytic) = 134821.32184595021868403651692507
y[1] (numeric) = 134821.32184595021868061517884183
absolute error = 3.42133808324e-15
relative error = 2.5376832361496169543422442429767e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.1
y[1] (analytic) = 135091.23431213563602133973191248
y[1] (numeric) = 135091.23431213563601791154405008
absolute error = 3.42818786240e-15
relative error = 2.5376834254685879171889882097609e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.101
y[1] (analytic) = 135361.68714343842357095276758888
y[1] (numeric) = 135361.68714343842356751771623406
absolute error = 3.43505135482e-15
relative error = 2.5376836144041161575360390621109e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.102
y[1] (analytic) = 135632.68142167026714784897329662
y[1] (numeric) = 135632.68142167026714440704470864
absolute error = 3.44192858798e-15
relative error = 2.5376838029761735142746870481457e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.103
y[1] (analytic) = 135904.21823080864100515514250927
y[1] (numeric) = 135904.21823080864100170632291992
absolute error = 3.44881958935e-15
relative error = 2.5376839911567763606907793518972e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.104
y[1] (analytic) = 136176.29865700114374549382883064
y[1] (numeric) = 136176.29865700114374203810444412
absolute error = 3.45572438652e-15
relative error = 2.5376841789658475805723084545889e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.105
y[1] (analytic) = 136448.92378856984291282595347612
y[1] (numeric) = 136448.92378856984290936331046902
absolute error = 3.46264300710e-15
relative error = 2.5376843663973708156545217678690e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.106
y[1] (analytic) = 136722.09471601562828217207739996
y[1] (numeric) = 136722.09471601562827870250192118
absolute error = 3.46957547878e-15
relative error = 2.5376845534634526594502176565472e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.107
y[1] (analytic) = 136995.8125320225738646255027577
y[1] (numeric) = 136995.81253202257386114898092843
absolute error = 3.47652182927e-15
relative error = 2.5376847401502641036083142503349e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.108
y[1] (analytic) = 137270.07833146230864510522957236
y[1] (numeric) = 137270.07833146230864162174748601
absolute error = 3.48348208635e-15
relative error = 2.5376849264546429096037957143439e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.109
y[1] (analytic) = 137544.89321139839607033172444374
y[1] (numeric) = 137544.89321139839606684126816585
absolute error = 3.49045627789e-15
relative error = 2.5376851123984475200210356870697e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.11
y[1] (analytic) = 137820.25827109072230454345904318
y[1] (numeric) = 137820.25827109072230104601461141
absolute error = 3.49744443177e-15
relative error = 2.5376852979701798235760330571292e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.111
y[1] (analytic) = 138096.17461199989327050724711116
y[1] (numeric) = 138096.17461199989326700280053522
absolute error = 3.50444657594e-15
relative error = 2.5376854831686847106035634417646e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.112
y[1] (analytic) = 138372.64333779164049341054986155
y[1] (numeric) = 138372.64333779164048989908712314
absolute error = 3.51146273841e-15
relative error = 2.5376856679957395563449831729224e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.113
y[1] (analytic) = 138649.66555434123576525913123641
y[1] (numeric) = 138649.66555434123576174063828916
absolute error = 3.51849294725e-15
relative error = 2.5376858524559441854082867518529e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.114
y[1] (analytic) = 138927.242369737914647438726488
y[1] (numeric) = 138927.24236973791464391318925742
absolute error = 3.52553723058e-15
relative error = 2.5376860365494138062302839469863e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.115
y[1] (analytic) = 139205.3748942893088291347402328
y[1] (numeric) = 139205.37489428930882560214461623
absolute error = 3.53259561657e-15
relative error = 2.5376862202717428426862580479313e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.116
y[1] (analytic) = 139484.0642405258873593394135661
y[1] (numeric) = 139484.06424052588735579974543266
absolute error = 3.53966813344e-15
relative error = 2.5376864036139693057051971404072e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.117
y[1] (analytic) = 139763.31152320540677021139418754
y[1] (numeric) = 139763.31152320540676666463937802
absolute error = 3.54675480952e-15
relative error = 2.5376865866054694225137245431507e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.118
y[1] (analytic) = 140043.11785931737010958820890914
y[1] (numeric) = 140043.11785931737010603435323601
absolute error = 3.55385567313e-15
relative error = 2.5376867692278063141458355246885e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.119
y[1] (analytic) = 140323.48436808749490048777454148
y[1] (numeric) = 140323.4843680874948969268037888
absolute error = 3.56097075268e-15
relative error = 2.5376869514863895995179196219134e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.12
y[1] (analytic) = 140604.412170982190045470791121
y[1] (numeric) = 140604.41217098219004190269104437
absolute error = 3.56810007663e-15
relative error = 2.5376871333817085077257940656582e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.121
y[1] (analytic) = 140885.90239171304169377164089738
y[1] (numeric) = 140885.90239171304169019639722388
absolute error = 3.57524367350e-15
relative error = 2.5376873149163979729242007245381e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.122
y[1] (analytic) = 141167.95615624130808914126758568
y[1] (numeric) = 141167.95615624130808555886601383
absolute error = 3.58240157185e-15
relative error = 2.5376874960809688715111230304336e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.123
y[1] (analytic) = 141450.574592782423416381433248
y[1] (numeric) = 141450.57459278242341279185944768
absolute error = 3.58957380032e-15
relative error = 2.5376876768821266785663650262071e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.124
y[1] (analytic) = 141733.75883181051066458574494664
y[1] (numeric) = 141733.75883181051066098898455903
absolute error = 3.59676038761e-15
relative error = 2.5376878573284183115241321103835e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.125
y[1] (analytic) = 142017.51000606290352513891015016
y[1] (numeric) = 142017.51000606290352153494878769
absolute error = 3.60396136247e-15
relative error = 2.5376880374230912952367964854712e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.126
y[1] (analytic) = 142301.82925054467734256181891848
y[1] (numeric) = 142301.82925054467733895064216481
absolute error = 3.61117675367e-15
relative error = 2.5376882171429836255997118153368e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=682.8MB, alloc=4.6MB, time=34.05
TOP MAIN SOLVE Loop
x[1] = 5.127
y[1] (analytic) = 142586.71770253318913632626228875
y[1] (numeric) = 142586.71770253318913270785569865
absolute error = 3.61840659010e-15
relative error = 2.5376883965088394437638604508582e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.128
y[1] (analytic) = 142872.176501582626711799380174
y[1] (numeric) = 142872.17650158262670817372927332
absolute error = 3.62565090068e-15
relative error = 2.5376885755217971798319393915401e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.129
y[1] (analytic) = 143158.20678952856687851428861802
y[1] (numeric) = 143158.20678952856687488137890365
absolute error = 3.63290971437e-15
relative error = 2.5376887541704890793060888671151e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.13
y[1] (analytic) = 143444.80971049254279399976556661
y[1] (numeric) = 143444.8097104925427903595825064
absolute error = 3.64018306021e-15
relative error = 2.5376889324589705965381797309161e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.131
y[1] (analytic) = 143731.9864108866204514383765636
y[1] (numeric) = 143731.98641088662044779090559629
absolute error = 3.64747096731e-15
relative error = 2.5376891103995285897706902619008e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.132
y[1] (analytic) = 144019.73803941798432945899710624
y[1] (numeric) = 144019.73803941798432580422364144
absolute error = 3.65477346480e-15
relative error = 2.5376892879778006776644399446708e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.133
y[1] (analytic) = 144308.06574709353222240633694426
y[1] (numeric) = 144308.06574709353221874424636235
absolute error = 3.66209058191e-15
relative error = 2.5376894652083971450512432731041e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.134
y[1] (analytic) = 144596.970687224479269466793527
y[1] (numeric) = 144596.9706872244792657973711791
absolute error = 3.66942234790e-15
relative error = 2.5376896420861208721721210317952e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.135
y[1] (analytic) = 144886.45401543097120106675724092
y[1] (numeric) = 144886.45401543097119738998844884
absolute error = 3.67676879208e-15
relative error = 2.5376898185998877541163703872123e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.136
y[1] (analytic) = 145176.5168896467068209963601816
y[1] (numeric) = 145176.51688964670681731223023775
absolute error = 3.68412994385e-15
relative error = 2.5376899947602575972338757595063e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.137
y[1] (analytic) = 145467.1604701235697427486031185
y[1] (numeric) = 145467.16047012356973905709728583
absolute error = 3.69150583267e-15
relative error = 2.5376901705785143403263266723800e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.138
y[1] (analytic) = 145758.38591943626939860081218468
y[1] (numeric) = 145758.38591943626939490191569666
absolute error = 3.69889648802e-15
relative error = 2.5376903460391349379243836413448e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.139
y[1] (analytic) = 146050.19440248699134000246780544
y[1] (numeric) = 146050.19440248699133629616586597
absolute error = 3.70630193947e-15
relative error = 2.5376905211479046525000641268822e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.14
y[1] (analytic) = 146342.58708651005684787061361736
y[1] (numeric) = 146342.58708651005684415689140071
absolute error = 3.71372221665e-15
relative error = 2.5376906959111241735422943507940e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.141
y[1] (analytic) = 146635.56514107659187143129277234
y[1] (numeric) = 146635.5651410765918677101354231
absolute error = 3.72115734924e-15
relative error = 2.5376908703287038229148582025609e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.142
y[1] (analytic) = 146929.12973809920531428277321766
y[1] (numeric) = 146929.12973809920531055416585069
absolute error = 3.72860736697e-15
relative error = 2.5376910443941463560946331405197e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.143
y[1] (analytic) = 147223.28205183667668639371244258
y[1] (numeric) = 147223.28205183667668265764014294
absolute error = 3.73607229964e-15
relative error = 2.5376912181081149977150286166188e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.144
y[1] (analytic) = 147518.02325889865314078687593444
y[1] (numeric) = 147518.02325889865313704332375731
absolute error = 3.74355217713e-15
relative error = 2.5376913914850602129988455589444e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.145
y[1] (analytic) = 147813.35453825035591369656234169
y[1] (numeric) = 147813.35453825035590994551531237
absolute error = 3.75104702932e-15
relative error = 2.5376915644988788510224387613114e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.146
y[1] (analytic) = 148109.2770712172961870255022491
y[1] (numeric) = 148109.27707121729618326694536287
absolute error = 3.75855688623e-15
relative error = 2.5376917371777627131489136669059e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.147
y[1] (analytic) = 148405.79204149000039196468668018
y[1] (numeric) = 148405.7920414900003881986049023
absolute error = 3.76608177788e-15
relative error = 2.5376919095092404592926939074071e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.148
y[1] (analytic) = 148702.90063512874497267734610688
y[1] (numeric) = 148702.9006351287449689037243725
absolute error = 3.77362173438e-15
relative error = 2.5376920815010252869927390500737e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.149
y[1] (analytic) = 149000.60404056830062898614101523
y[1] (numeric) = 149000.60404056830062520496422935
absolute error = 3.78117678588e-15
relative error = 2.5376922531471760864169125044763e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.15
y[1] (analytic) = 149298.9034486226860570405411016
y[1] (numeric) = 149298.903448622686053251794139
absolute error = 3.78874696260e-15
relative error = 2.5376924244482466703551342350772e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.151
y[1] (analytic) = 149597.80005248993120697936210716
y[1] (numeric) = 149597.80005248993120318302981234
absolute error = 3.79633229482e-15
relative error = 2.5376925954044557489666238809883e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.152
y[1] (analytic) = 149897.29504775685007664149729188
y[1] (numeric) = 149897.29504775685007283756447898
absolute error = 3.80393281290e-15
relative error = 2.5376927660289519369390733397501e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.153
y[1] (analytic) = 150197.38963240382306041602475463
y[1] (numeric) = 150197.38963240382305660447620742
absolute error = 3.81154854721e-15
relative error = 2.5376929363009984503115149494823e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.154
y[1] (analytic) = 150498.08500680958887236109237637
y[1] (numeric) = 150498.08500680958886854191284813
absolute error = 3.81917952824e-15
relative error = 2.5376931062393209406105417535363e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=686.6MB, alloc=4.6MB, time=34.24
x[1] = 5.155
y[1] (analytic) = 150799.38237375604606275927925105
y[1] (numeric) = 150799.38237375604605893245346455
absolute error = 3.82682578650e-15
relative error = 2.5376932758353200353549170081447e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.156
y[1] (analytic) = 151101.28293843306414731550622785
y[1] (numeric) = 151101.28293843306414348101887527
absolute error = 3.83448735258e-15
relative error = 2.5376934450929712459676261004042e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.157
y[1] (analytic) = 151403.78790844330436824201877111
y[1] (numeric) = 151403.78790844330436439985451399
absolute error = 3.84216425712e-15
relative error = 2.5376936140088043360213683720478e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.158
y[1] (analytic) = 151706.8984938070501065134929057
y[1] (numeric) = 151706.89849380705010266363637486
absolute error = 3.84985653084e-15
relative error = 2.5376937825916717323214043871958e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.159
y[1] (analytic) = 152010.61590696704696461391970862
y[1] (numeric) = 152010.61590696704696075635550412
absolute error = 3.85756420450e-15
relative error = 2.5376939508362308205259191537148e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.16
y[1] (analytic) = 152314.94136279335253913560578804
y[1] (numeric) = 152314.94136279335253527031847911
absolute error = 3.86528730893e-15
relative error = 2.5376941187427006451224529011266e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.161
y[1] (analytic) = 152619.87607858819590262938661192
y[1] (numeric) = 152619.87607858819589875636073689
absolute error = 3.87302587503e-15
relative error = 2.5376942863167257735549325572752e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.162
y[1] (analytic) = 152925.42127409084681414398656656
y[1] (numeric) = 152925.42127409084681026320663281
absolute error = 3.88077993375e-15
relative error = 2.5376944535561630284427001048711e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.163
y[1] (analytic) = 153231.57817148249467793137439464
y[1] (numeric) = 153231.57817148249467404282487854
absolute error = 3.88854951610e-15
relative error = 2.5376946204576043441461118670975e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.164
y[1] (analytic) = 153538.34799539113726983395533964
y[1] (numeric) = 153538.34799539113726593762068646
absolute error = 3.89633465318e-15
relative error = 2.5376947870358477930510635475663e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.165
y[1] (analytic) = 153845.73197289647925090851206346
y[1] (numeric) = 153845.73197289647924700437668736
absolute error = 3.90413537610e-15
relative error = 2.5376949532716349116585340874853e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.166
y[1] (analytic) = 154153.73133353484048788095536466
y[1] (numeric) = 154153.73133353484048396900364858
absolute error = 3.91195171608e-15
relative error = 2.5376951191767798550299031047726e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.167
y[1] (analytic) = 154462.34730930407420006517306048
y[1] (numeric) = 154462.34730930407419614538935609
absolute error = 3.91978370439e-15
relative error = 2.5376952847549345430249367369758e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.168
y[1] (analytic) = 154771.58113466849495241857126566
y[1] (numeric) = 154771.58113466849494849093989332
absolute error = 3.92763137234e-15
relative error = 2.5376954499951278077436939537492e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.169
y[1] (analytic) = 155081.43404656381651444628686104
y[1] (numeric) = 155081.43404656381651051079210969
absolute error = 3.93549475135e-15
relative error = 2.5376956149169681202296037248030e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.17
y[1] (analytic) = 155391.90728440209960470551335225
y[1] (numeric) = 155391.90728440209960076213947941
absolute error = 3.94337387284e-15
relative error = 2.5376957794994689919877952216597e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.171
y[1] (analytic) = 155703.00209007670954070092473323
y[1] (numeric) = 155703.00209007670953674965596488
absolute error = 3.95126876835e-15
relative error = 2.5376959437584427535408459389510e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.172
y[1] (analytic) = 156014.71970796728381400180354604
y[1] (numeric) = 156014.7197079672838100426240766
absolute error = 3.95917946944e-15
relative error = 2.5376961076819564665500608551389e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.173
y[1] (analytic) = 156327.06138494470961045118022926
y[1] (numeric) = 156327.06138494470960648407422149
absolute error = 3.96710600777e-15
relative error = 2.5376962712817024416005640426271e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.174
y[1] (analytic) = 156640.02837037611129537707122801
y[1] (numeric) = 156640.02837037611129140202281296
absolute error = 3.97504841505e-15
relative error = 2.5376964345607615884698500510868e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.175
y[1] (analytic) = 156953.62191612984788375576336058
y[1] (numeric) = 156953.62191612984787977275663755
absolute error = 3.98300672303e-15
relative error = 2.5376965975072368808271744254151e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.176
y[1] (analytic) = 157267.8432765805205153170317582
y[1] (numeric) = 157267.84327658052051132605079464
absolute error = 3.99098096356e-15
relative error = 2.5376967601324735481526686624158e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.177
y[1] (analytic) = 157582.6937086139899546211984753
y[1] (numeric) = 157582.69370861398995062222730678
absolute error = 3.99897116852e-15
relative error = 2.5376969224263254499903659269004e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.178
y[1] (analytic) = 157898.1744716324041361780387686
y[1] (numeric) = 157898.17447163240413217106139872
absolute error = 4.00697736988e-15
relative error = 2.5376970843952877068564514280064e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.179
y[1] (analytic) = 158214.28682755923577471772222403
y[1] (numeric) = 158214.28682755923577070272262436
absolute error = 4.01499959967e-15
relative error = 2.5376972460432884451206284072399e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.18
y[1] (analytic) = 158531.03204084433006076423653202
y[1] (numeric) = 158531.03204084433005674119864204
absolute error = 4.02303788998e-15
relative error = 2.5376974073716333941418316604564e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.181
y[1] (analytic) = 158848.41137846896246170208293517
y[1] (numeric) = 158848.41137846896245767099066221
absolute error = 4.03109227296e-15
relative error = 2.5376975683789511388567436576252e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.182
y[1] (analytic) = 159166.42610995090664856745435878
y[1] (numeric) = 159166.42610995090664452829157796
absolute error = 4.03916278082e-15
relative error = 2.5376977290611390236890603982287e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.183
y[1] (analytic) = 159485.07750734951256883561014622
y[1] (numeric) = 159485.07750734951256478836070038
absolute error = 4.04724944584e-15
relative error = 2.5376978894175798827687681083956e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=690.4MB, alloc=4.6MB, time=34.43
x[1] = 5.184
y[1] (analytic) = 159804.36684527079468551674531939
y[1] (numeric) = 159804.366845270794681461393019
absolute error = 4.05535230039e-15
relative error = 2.5376980494635418975853648373045e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.185
y[1] (analytic) = 160124.29540087253040291331753198
y[1] (numeric) = 160124.29540087253039884984615512
absolute error = 4.06347137686e-15
relative error = 2.5376982091862230992778272696837e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.186
y[1] (analytic) = 160444.86445386936869943254154296
y[1] (numeric) = 160444.86445386936869536093483524
absolute error = 4.07160670772e-15
relative error = 2.5376983685823464159123881749546e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.187
y[1] (analytic) = 160766.07528653794898788858927158
y[1] (numeric) = 160766.07528653794898380883094604
absolute error = 4.07975832554e-15
relative error = 2.5376985276704246759257627865504e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.188
y[1] (analytic) = 161087.92918372203022376994346783
y[1] (numeric) = 161087.92918372203021968201720493
absolute error = 4.08792626290e-15
relative error = 2.5376986864345921613533350117886e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.189
y[1] (analytic) = 161410.42743283763028198834490682
y[1] (numeric) = 161410.42743283763027789223435434
absolute error = 4.09611055248e-15
relative error = 2.5376988448806250020795195842046e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.19
y[1] (analytic) = 161733.57132387817562266684695507
y[1] (numeric) = 161733.57132387817561856253572804
absolute error = 4.10431122703e-15
relative error = 2.5376990030170957928293222690828e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.191
y[1] (analytic) = 162057.36214941966126656564752732
y[1] (numeric) = 162057.36214941966126245311920798
absolute error = 4.11252831934e-15
relative error = 2.5376991608367526739780234055357e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.192
y[1] (analytic) = 162381.80120462582110078560701716
y[1] (numeric) = 162381.8012046258210966648451549
absolute error = 4.12076186226e-15
relative error = 2.5376993183289129382180105007876e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.193
y[1] (analytic) = 162706.88978725330853543068190928
y[1] (numeric) = 162706.88978725330853130167002052
absolute error = 4.12901188876e-15
relative error = 2.5376994755162929323242805071037e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.194
y[1] (analytic) = 163032.62919765688753195190763046
y[1] (numeric) = 163032.62919765688752781462919865
absolute error = 4.13727843181e-15
relative error = 2.5376996323809891403554262018210e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.195
y[1] (analytic) = 163359.02073879463402393705093694
y[1] (numeric) = 163359.02073879463401979148941243
absolute error = 4.14556152451e-15
relative error = 2.5376997889443816029516662023338e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.196
y[1] (analytic) = 163686.06571623314775115162193162
y[1] (numeric) = 163686.06571623314774699776073165
absolute error = 4.15386119997e-15
relative error = 2.5376999451933503331895829836117e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.197
y[1] (analytic) = 164013.76543815277452767858882455
y[1] (numeric) = 164013.76543815277452351641133317
absolute error = 4.16217749138e-15
relative error = 2.5377001011232176748926631354346e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.198
y[1] (analytic) = 164342.12121535283896504587495849
y[1] (numeric) = 164342.12121535283896087536452647
absolute error = 4.17051043202e-15
relative error = 2.5377002567436685648466540807107e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.199
y[1] (analytic) = 164671.13436125688767127253758638
y[1] (numeric) = 164671.13436125688766709367753116
absolute error = 4.17886005522e-15
relative error = 2.5377004120542356093763280536983e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.2
y[1] (analytic) = 165000.80619191794294680643157661
y[1] (numeric) = 165000.80619191794294261920518223
absolute error = 4.18722639438e-15
relative error = 2.5377005670564404840275975752221e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.201
y[1] (analytic) = 165331.13802602376699836814880141
y[1] (numeric) = 165331.13802602376699417253931845
absolute error = 4.19560948296e-15
relative error = 2.5377007217476448248100040794786e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.202
y[1] (analytic) = 165662.13118490213669175809560332
y[1] (numeric) = 165662.13118490213668755408624883
absolute error = 4.20400935449e-15
relative error = 2.5377008761270473197013409053251e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.203
y[1] (analytic) = 165993.78699252612886472572660083
y[1] (numeric) = 165993.78699252612886051330055825
absolute error = 4.21242604258e-15
relative error = 2.5377010302016089944353133685762e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.204
y[1] (analytic) = 166326.10677551941622104219335738
y[1] (numeric) = 166326.10677551941621682133377648
absolute error = 4.22085958090e-15
relative error = 2.5377011839738703391585231937364e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.205
y[1] (analytic) = 166659.09186316157382695999126538
y[1] (numeric) = 166659.09186316157382273068126222
absolute error = 4.22931000316e-15
relative error = 2.5377013374299138573917596956295e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.206
y[1] (analytic) = 166992.74358739339623128559755932
y[1] (numeric) = 166992.74358739339622704782021614
absolute error = 4.23777734318e-15
relative error = 2.5377014905813655796181265924491e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.207
y[1] (analytic) = 167327.06328282222523033358783781
y[1] (numeric) = 167327.06328282222522608732620299
absolute error = 4.24626163482e-15
relative error = 2.5377016434232254123552556935130e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.208
y[1] (analytic) = 167662.05228672728829907329801492
y[1] (numeric) = 167662.05228672728829481853510289
absolute error = 4.25476291203e-15
relative error = 2.5377017959637738749112943285709e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.209
y[1] (analytic) = 167997.71193906504770982176340519
y[1] (numeric) = 167997.71193906504770555848219638
absolute error = 4.26328120881e-15
relative error = 2.5377019482005489880736757610959e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.21
y[1] (analytic) = 168334.04358247456035987941684638
y[1] (numeric) = 168334.04358247456035560760028715
absolute error = 4.27181655923e-15
relative error = 2.5377021001322536101691734730263e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.211
y[1] (analytic) = 168671.04856228284832954786354906
y[1] (numeric) = 168671.04856228284832526749455163
absolute error = 4.28036899743e-15
relative error = 2.5377022517586631089695461133636e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.212
y[1] (analytic) = 169008.72822651028019201197190501
y[1] (numeric) = 169008.72822651028018772303334738
absolute error = 4.28893855763e-15
relative error = 2.5377024030864507638501718724809e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=694.3MB, alloc=4.6MB, time=34.62
TOP MAIN SOLVE Loop
x[1] = 5.213
y[1] (analytic) = 169347.08392587596309661152695774
y[1] (numeric) = 169347.08392587596309231400168364
absolute error = 4.29752527410e-15
relative error = 2.5377025541113229783795443909215e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.214
y[1] (analytic) = 169686.1170138031456470707868113
y[1] (numeric) = 169686.11701380314564276465763011
absolute error = 4.30612918119e-15
relative error = 2.5377027048357274859214732718536e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.215
y[1] (analytic) = 170025.8288464246315962974620994
y[1] (numeric) = 170025.82884642463159198271178609
absolute error = 4.31475031331e-15
relative error = 2.5377028552569424666367176305512e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.216
y[1] (analytic) = 170366.220782588204379405904929
y[1] (numeric) = 170366.22078258820437508251622407
absolute error = 4.32338870493e-15
relative error = 2.5377030053670473042225189020049e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.217
y[1] (analytic) = 170707.29418386206250666264662392
y[1] (numeric) = 170707.29418386206250233060223327
absolute error = 4.33204439065e-15
relative error = 2.5377031551938997044636194254225e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.218
y[1] (analytic) = 171049.0504145402658380958632976
y[1] (numeric) = 171049.05041454026583375514589255
absolute error = 4.34071740505e-15
relative error = 2.5377033047130036527303546841948e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.219
y[1] (analytic) = 171391.49084164819276155387495492
y[1] (numeric) = 171391.4908416481927572044671721
absolute error = 4.34940778282e-15
relative error = 2.5377034539238002670977438880187e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.22
y[1] (analytic) = 171734.61683494800829604139763302
y[1] (numeric) = 171734.61683494800829168328207426
absolute error = 4.35811555876e-15
relative error = 2.5377036028493488532052718454461e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.221
y[1] (analytic) = 172078.42976694414314220596921696
y[1] (numeric) = 172078.42976694414313783912844929
absolute error = 4.36684076767e-15
relative error = 2.5377037514720858520766685183593e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.222
y[1] (analytic) = 172422.93101288878370189075818155
y[1] (numeric) = 172422.93101288878369751517473708
absolute error = 4.37558344447e-15
relative error = 2.5377038998037452648104263488077e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.223
y[1] (analytic) = 172768.12195078737308871384079034
y[1] (numeric) = 172768.12195078737308432949716622
absolute error = 4.38434362412e-15
relative error = 2.5377040478386810416191575746839e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.224
y[1] (analytic) = 173114.00396140412315167799640374
y[1] (numeric) = 173114.00396140412314728487506209
absolute error = 4.39312134165e-15
relative error = 2.5377041955712890715053851442639e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.225
y[1] (analytic) = 173460.57842826753753385912268474
y[1] (numeric) = 173460.57842826753752945720605255
absolute error = 4.40191663219e-15
relative error = 2.5377043430132211944361674295143e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.226
y[1] (analytic) = 173807.84673767594578826551281998
y[1] (numeric) = 173807.84673767594578385478328907
absolute error = 4.41072953091e-15
relative error = 2.5377044901586113672401085303305e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.227
y[1] (analytic) = 174155.8102787030485730044655721
y[1] (numeric) = 174155.81027870304856858490549904
absolute error = 4.41956007306e-15
relative error = 2.5377046370071373518245594734033e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.228
y[1] (analytic) = 174504.47044320347394793701622346
y[1] (numeric) = 174504.47044320347394350860792948
absolute error = 4.42840829398e-15
relative error = 2.5377047835696152887524821923359e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.229
y[1] (analytic) = 174853.82862581834479504598243841
y[1] (numeric) = 174853.82862581834479060870820938
absolute error = 4.43727422903e-15
relative error = 2.5377049298277742094211058964088e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.23
y[1] (analytic) = 175203.88622398085738478701393976
y[1] (numeric) = 175203.88622398085738034085602605
absolute error = 4.44615791371e-15
relative error = 2.5377050758029570264892855384199e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.231
y[1] (analytic) = 175554.64463792187111073691884142
y[1] (numeric) = 175554.64463792187110628185945788
absolute error = 4.45505938354e-15
relative error = 2.5377052214872899447840350982034e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.232
y[1] (analytic) = 175906.1052706755094148982126838
y[1] (numeric) = 175906.10527067550941043423400968
absolute error = 4.46397867412e-15
relative error = 2.5377053668780018014461504929285e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.233
y[1] (analytic) = 176258.26952808477192606359885788
y[1] (numeric) = 176258.26952808477192159068303674
absolute error = 4.47291582114e-15
relative error = 2.5377055119829661069062291101091e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.234
y[1] (analytic) = 176611.13881880715783368894135877
y[1] (numeric) = 176611.13881880715782920707049845
absolute error = 4.48187086032e-15
relative error = 2.5377056567865410829759638234040e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.235
y[1] (analytic) = 176964.71455432030051976823285858
y[1] (numeric) = 176964.71455432030051527738903106
absolute error = 4.49084382752e-15
relative error = 2.5377058013118827609103919696922e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.236
y[1] (analytic) = 177318.99814892761347124909311105
y[1] (numeric) = 177318.99814892761346674925835245
absolute error = 4.49983475860e-15
relative error = 2.5377059455415234742004423642463e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.237
y[1] (analytic) = 177673.99101976394749557245487822
y[1] (numeric) = 177673.99101976394749106361118869
absolute error = 4.50884368953e-15
relative error = 2.5377060894796071198081578005442e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.238
y[1] (analytic) = 178029.69458680125926196530708046
y[1] (numeric) = 178029.6945868012592574474364241
absolute error = 4.51787065636e-15
relative error = 2.5377062331347420434233564409531e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.239
y[1] (analytic) = 178386.11027285429119116066789907
y[1] (numeric) = 178386.11027285429118663375220388
absolute error = 4.52691569519e-15
relative error = 2.5377063765030580317490492704348e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.24
y[1] (analytic) = 178743.23950358626271626435428456
y[1] (numeric) = 178743.23950358626271172837544235
absolute error = 4.53597884221e-15
relative error = 2.5377065195906283086246243876673e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.241
y[1] (analytic) = 179101.08370751457293753359892592
y[1] (numeric) = 179101.08370751457293298853879227
memory used=698.1MB, alloc=4.6MB, time=34.81
absolute error = 4.54506013365e-15
relative error = 2.5377066623853723683048835029864e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.242
y[1] (analytic) = 179459.644316016514693878141399
y[1] (numeric) = 179459.64431601651468932398179315
absolute error = 4.55415960585e-15
relative error = 2.5377068048961622826008580640963e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.243
y[1] (analytic) = 179818.92276333500007394008711706
y[1] (numeric) = 179818.92276333500006937680982185
absolute error = 4.56327729521e-15
relative error = 2.5377069471247273261314957374700e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.244
y[1] (analytic) = 180178.9204865842973896545860369
y[1] (numeric) = 180178.92048658429738508217279871
absolute error = 4.57241323819e-15
relative error = 2.5377070890656441890441341870017e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.245
y[1] (analytic) = 180539.63892575577963523923301276
y[1] (numeric) = 180539.63892575577963065766554142
absolute error = 4.58156747134e-15
relative error = 2.5377072307229444214134109381860e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.246
y[1] (analytic) = 180901.07952372368445460603342
y[1] (numeric) = 180901.07952372368445001529338871
absolute error = 4.59074003129e-15
relative error = 2.5377073721044115221328319581967e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.247
y[1] (analytic) = 181263.24372625088564023581137646
y[1] (numeric) = 181263.24372625088563563588042175
absolute error = 4.59993095471e-15
relative error = 2.5377075131993951528444123667846e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.248
y[1] (analytic) = 181626.13298199467618660106375455
y[1] (numeric) = 181626.13298199467618199192347618
absolute error = 4.60914027837e-15
relative error = 2.5377076540119490847400582789788e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.249
y[1] (analytic) = 181989.74874251256292126948138608
y[1] (numeric) = 181989.74874251256291665111334698
absolute error = 4.61836803910e-15
relative error = 2.5377077945386246786376309402018e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.25
y[1] (analytic) = 182354.0924622680727368666696002
y[1] (numeric) = 182354.09246226807273223905532637
absolute error = 4.62761427383e-15
relative error = 2.5377079347904002275714633722899e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.251
y[1] (analytic) = 182719.16559863657044712300368688
y[1] (numeric) = 182719.16559863657044248612466735
absolute error = 4.63687901953e-15
relative error = 2.5377080747596189011148913123724e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.252
y[1] (analytic) = 183084.96961191108829027605123062
y[1] (numeric) = 183084.96961191108828562988891735
absolute error = 4.64616231327e-15
relative error = 2.5377082144528653509014927312000e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.253
y[1] (analytic) = 183451.50596530816710314658269662
y[1] (numeric) = 183451.50596530816709849111850445
absolute error = 4.65546419217e-15
relative error = 2.5377083538634877936253141402519e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.254
y[1] (analytic) = 183818.77612497370918925287436179
y[1] (numeric) = 183818.77612497370918458808966835
absolute error = 4.66478469344e-15
relative error = 2.5377084929934097526008139890420e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.255
y[1] (analytic) = 184186.78155998884290437478385158
y[1] (numeric) = 184186.78155998884289970065999721
absolute error = 4.67412385437e-15
relative error = 2.5377086318475345938276378631218e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.256
y[1] (analytic) = 184555.52374237579898302594835838
y[1] (numeric) = 184555.52374237579897834246664606
absolute error = 4.68348171232e-15
relative error = 2.5377087704282164666896499657556e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.257
y[1] (analytic) = 184925.00414710379862933941926536
y[1] (numeric) = 184925.00414710379862464656096066
absolute error = 4.69285830470e-15
relative error = 2.5377089087243895893663287701830e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.258
y[1] (analytic) = 185295.22425209495339591910456928
y[1] (numeric) = 185295.22425209495339121685090024
absolute error = 4.70225366904e-15
relative error = 2.5377090467493989814184739459592e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.259
y[1] (analytic) = 185666.18553823017687425654237414
y[1] (numeric) = 185666.18553823017686954487453122
absolute error = 4.71166784292e-15
relative error = 2.5377091845029741779287320332202e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.26
y[1] (analytic) = 186037.88948935510822035977500546
y[1] (numeric) = 186037.88948935510821563867414148
absolute error = 4.72110086398e-15
relative error = 2.5377093219766591745851089555294e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.261
y[1] (analytic) = 186410.33759228604753928843415844
y[1] (numeric) = 186410.33759228604753455788138848
absolute error = 4.73055276996e-15
relative error = 2.5377094591752714583741846203515e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.262
y[1] (analytic) = 186783.53133681590315233658313429
y[1] (numeric) = 186783.53133681590314759655953562
absolute error = 4.74002359867e-15
relative error = 2.5377095961006275786220993669010e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.263
y[1] (analytic) = 187157.47221572015077065239282574
y[1] (numeric) = 187157.47221572015076590287943775
absolute error = 4.74951338799e-15
relative error = 2.5377097327514921436783251923802e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.264
y[1] (analytic) = 187532.16172476280459913135387608
y[1] (numeric) = 187532.1617247628045943723317002
absolute error = 4.75902217588e-15
relative error = 2.5377098691288598652221201520879e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.265
y[1] (analytic) = 187907.60136270240039446744854595
y[1] (numeric) = 187907.60136270240038969889854557
absolute error = 4.76855000038e-15
relative error = 2.5377100052358525379497539725634e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.266
y[1] (analytic) = 188283.79263129799050129452247008
y[1] (numeric) = 188283.79263129799049651642557049
absolute error = 4.77809689959e-15
relative error = 2.5377101410669946963339765301202e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.267
y[1] (analytic) = 188660.73703531515089039800886278
y[1] (numeric) = 188660.73703531515088561034595107
absolute error = 4.78766291171e-15
relative error = 2.5377102766294206656508414752879e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.268
y[1] (analytic) = 189038.43608253200022302516602844
y[1] (numeric) = 189038.43608253200021822791795345
absolute error = 4.79724807499e-15
relative error = 2.5377104119162183700978005315775e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.269
y[1] (analytic) = 189416.89128374523096537009344356
y[1] (numeric) = 189416.89128374523096056324101577
absolute error = 4.80685242779e-15
relative error = 2.5377105469381647423184386527734e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=701.9MB, alloc=4.6MB, time=35.00
x[1] = 5.27
y[1] (analytic) = 189796.10415277615257735799239164
y[1] (numeric) = 189796.10415277615257254151638312
absolute error = 4.81647600852e-15
relative error = 2.5377106816918556225825051908855e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.271
y[1] (analytic) = 190176.07620647674679990143434572
y[1] (numeric) = 190176.07620647674679507531549006
absolute error = 4.82611885566e-15
relative error = 2.5377108161702827770946189281790e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.272
y[1] (analytic) = 190556.80896473573506484979419736
y[1] (numeric) = 190556.80896473573506001401318956
absolute error = 4.83578100780e-15
relative error = 2.5377109503837803627534791976348e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.273
y[1] (analytic) = 190938.30395048465805190149621954
y[1] (numeric) = 190938.30395048465804705603371596
absolute error = 4.84546250358e-15
relative error = 2.5377110843283474022373109570882e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.274
y[1] (analytic) = 191320.5626897039674167973085187
y[1] (numeric) = 191320.56268970396741194214513697
absolute error = 4.85516338173e-15
relative error = 2.5377112180066171077979749141590e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.275
y[1] (analytic) = 191703.58671142912971516160687128
y[1] (numeric) = 191703.58671142912971029672319023
absolute error = 4.86488368105e-15
relative error = 2.5377113514172772010270055014346e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.276
y[1] (analytic) = 192087.3775477567425464073114485
y[1] (numeric) = 192087.37754775674254153268800808
absolute error = 4.87462344042e-15
relative error = 2.5377114845602343963220373132783e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.277
y[1] (analytic) = 192471.93673385066294216908020382
y[1] (numeric) = 192471.93673385066293728469750503
absolute error = 4.88438269879e-15
relative error = 2.5377116174313259216760687252735e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.278
y[1] (analytic) = 192857.26580794814802377832082728
y[1] (numeric) = 192857.26580794814801888415933206
absolute error = 4.89416149522e-15
relative error = 2.5377117500430201130072048631893e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.279
y[1] (analytic) = 193243.366311366007953342659354
y[1] (numeric) = 193243.36631136600794843869948519
absolute error = 4.90395986881e-15
relative error = 2.5377118823879458912193791340242e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.28
y[1] (analytic) = 193630.23978850677120304167794898
y[1] (numeric) = 193630.23978850677119812790009022
absolute error = 4.91377785876e-15
relative error = 2.5377120144699965650876277982200e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.281
y[1] (analytic) = 194017.88778686486216730000727126
y[1] (numeric) = 194017.88778686486216237639176691
absolute error = 4.92361550435e-15
relative error = 2.5377121462938284746200930707954e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.282
y[1] (analytic) = 194406.31185703279114254823034672
y[1] (numeric) = 194406.31185703279113761475750181
absolute error = 4.93347284491e-15
relative error = 2.5377122778493408241158671112337e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.283
y[1] (analytic) = 194795.51355270735669933152524653
y[1] (numeric) = 194795.51355270735669438817532665
absolute error = 4.94334991988e-15
relative error = 2.5377124091425436595130000613171e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.284
y[1] (analytic) = 195185.49443069586047157554327545
y[1] (numeric) = 195185.49443069586046662229650668
absolute error = 4.95324676877e-15
relative error = 2.5377125401748232062772902530071e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.285
y[1] (analytic) = 195576.25605092233438786868802006
y[1] (numeric) = 195576.2560509223343829055245889
absolute error = 4.96316343116e-15
relative error = 2.5377126709429070305442083368708e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.286
y[1] (analytic) = 195967.79997643378036966972868895
y[1] (numeric) = 195967.79997643378036469662874223
absolute error = 4.97309994672e-15
relative error = 2.5377128014490354907165804094341e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.287
y[1] (analytic) = 196360.12777340642252139954889487
y[1] (numeric) = 196360.12777340642251641649253967
absolute error = 4.98305635520e-15
relative error = 2.5377129316957333201913753210894e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.288
y[1] (analytic) = 196753.24101115197183742579958219
y[1] (numeric) = 196753.24101115197183243276688577
absolute error = 4.99303269642e-15
relative error = 2.5377130616806433974049243935083e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.289
y[1] (analytic) = 197147.14126212390345099929239116
y[1] (numeric) = 197147.14126212390344599626338086
absolute error = 5.00302901030e-15
relative error = 2.5377131914117116840566772401024e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.29
y[1] (analytic) = 197541.83010192374645025113757416
y[1] (numeric) = 197541.83010192374644523809223737
absolute error = 5.01304533679e-15
relative error = 2.5377133208715680669763031362030e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.291
y[1] (analytic) = 197937.30910930738628640989883914
y[1] (numeric) = 197937.30910930738628138681712314
absolute error = 5.02308171600e-15
relative error = 2.5377134500833755177884048508159e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.292
y[1] (analytic) = 198333.57986619137979944840639168
y[1] (numeric) = 198333.57986619137979441526820363
absolute error = 5.03313818805e-15
relative error = 2.5377135790347149104798019410612e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.293
y[1] (analytic) = 198730.64395765928288642033918342
y[1] (numeric) = 198730.64395765928288137712439025
absolute error = 5.04321479317e-15
relative error = 2.5377137077281781375104493981274e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.294
y[1] (analytic) = 199128.50297196799083779725814973
y[1] (numeric) = 199128.50297196799083274394657807
absolute error = 5.05331157166e-15
relative error = 2.5377138361610503218934721280432e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.295
y[1] (analytic) = 199527.15850055409136716744423872
y[1] (numeric) = 199527.1585005540913621040156748
absolute error = 5.06342856392e-15
relative error = 2.5377139643403174841484988052348e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.296
y[1] (analytic) = 199926.61213804023035970866849752
y[1] (numeric) = 199926.61213804023035463510268712
absolute error = 5.07356581040e-15
relative error = 2.5377140922574797702153754105821e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.297
y[1] (analytic) = 200326.86548224149036489789659478
y[1] (numeric) = 200326.8654822414903598141732431
absolute error = 5.08372335168e-15
relative error = 2.5377142199285598187814551903765e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.298
y[1] (analytic) = 200727.92013417178185897190712256
y[1] (numeric) = 200727.9201341717818538780058942
absolute error = 5.09390122836e-15
relative error = 2.5377143473389767809503109578190e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=705.7MB, alloc=4.6MB, time=35.19
TOP MAIN SOLVE Loop
x[1] = 5.299
y[1] (analytic) = 201129.77769805024730270388204212
y[1] (numeric) = 201129.77769805024729759978256095
absolute error = 5.10409948117e-15
relative error = 2.5377144744984616747857161093090e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.3
y[1] (analytic) = 201532.4397813076780201122089184
y[1] (numeric) = 201532.43978130767801499789076751
absolute error = 5.11431815089e-15
relative error = 2.5377146014010384566507432106593e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.301
y[1] (analytic) = 201935.90799459294392376901833446
y[1] (numeric) = 201935.90799459294391864446105607
absolute error = 5.12455727839e-15
relative error = 2.5377147280449080202220205090328e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.302
y[1] (analytic) = 202340.18395177943611242736629292
y[1] (numeric) = 202340.18395177943610729254938827
absolute error = 5.13481690465e-15
relative error = 2.5377148544422102594661705290862e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.303
y[1] (analytic) = 202745.26926997152236673746070316
y[1] (numeric) = 202745.26926997152236159236363246
absolute error = 5.14509707070e-15
relative error = 2.5377149805892103127568184445147e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.304
y[1] (analytic) = 203151.16556951101556887392342671
y[1] (numeric) = 203151.16556951101556371852560906
absolute error = 5.15539781765e-15
relative error = 2.5377151064811432042905149286296e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.305
y[1] (analytic) = 203557.87447398365507194777501432
y[1] (numeric) = 203557.87447398365506678205582761
absolute error = 5.16571918671e-15
relative error = 2.5377152321219687072732588166050e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.306
y[1] (analytic) = 203965.39761022560104512862842448
y[1] (numeric) = 203965.39761022560103995256720531
absolute error = 5.17606121917e-15
relative error = 2.5377153575143979970255592064742e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.307
y[1] (analytic) = 204373.73660832994182045448087128
y[1] (numeric) = 204373.7366083299418152680569149
absolute error = 5.18642395638e-15
relative error = 2.5377154826500391815640885583986e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.308
y[1] (analytic) = 204782.89310165321426735849971737
y[1] (numeric) = 204782.89310165321426216169227755
absolute error = 5.19680743982e-15
relative error = 2.5377156075436098639193927914100e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.309
y[1] (analytic) = 205192.86872682193722099430921274
y[1] (numeric) = 205192.86872682193721578709750174
absolute error = 5.20721171100e-15
relative error = 2.5377157321838911838685847225993e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.31
y[1] (analytic) = 205603.66512373915799049350009204
y[1] (numeric) = 205603.66512373915798527586328049
absolute error = 5.21763681155e-15
relative error = 2.5377158565776790831425793125561e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.311
y[1] (analytic) = 206015.28393559101197334140378882
y[1] (numeric) = 206015.28393559101196811332100567
absolute error = 5.22808278315e-15
relative error = 2.5377159807155459311308561694879e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.312
y[1] (analytic) = 206427.72680885329540210959751626
y[1] (numeric) = 206427.72680885329539687104784864
absolute error = 5.23854966762e-15
relative error = 2.5377161046155203297968397504261e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.313
y[1] (analytic) = 206840.99539329805124983613590772
y[1] (numeric) = 206840.99539329805124458709840092
absolute error = 5.24903750680e-15
relative error = 2.5377162282647168313921645061057e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.314
y[1] (analytic) = 207255.09134200016832039713951963
y[1] (numeric) = 207255.09134200016831513759317699
absolute error = 5.25954634264e-15
relative error = 2.5377163516629880063203560219008e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.315
y[1] (analytic) = 207670.01631134399355026611048158
y[1] (numeric) = 207670.0163113439935449960342644
absolute error = 5.27007621718e-15
relative error = 2.5377164748130862484904437270384e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.316
y[1] (analytic) = 208085.77196102995754811019114737
y[1] (numeric) = 208085.77196102995754282956397482
absolute error = 5.28062717255e-15
relative error = 2.5377165977205540201183738919611e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.317
y[1] (analytic) = 208502.35995408121339872553296608
y[1] (numeric) = 208502.35995408121339343433371514
absolute error = 5.29119925094e-15
relative error = 2.5377167203792267508990297306424e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.318
y[1] (analytic) = 208919.7819568502887578670001665
y[1] (numeric) = 208919.78195685028875256520767185
absolute error = 5.30179249465e-15
relative error = 2.5377168427952014088398309972017e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.319
y[1] (analytic) = 209338.03963902575126458059644298
y[1] (numeric) = 209338.03963902575125926818949694
absolute error = 5.31240694604e-15
relative error = 2.5377169649627486477400707386982e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.32
y[1] (analytic) = 209757.13467363888729770027285984
y[1] (numeric) = 209757.13467363888729237723021226
absolute error = 5.32304264758e-15
relative error = 2.5377170868881870082772981685025e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.321
y[1] (analytic) = 210177.06873707039410322415186643
y[1] (numeric) = 210177.06873707039409789045222461
absolute error = 5.33369964182e-15
relative error = 2.5377172085754083169187130662885e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.322
y[1] (analytic) = 210597.8435090570853193386858506
y[1] (numeric) = 210597.84350905708531399430787923
absolute error = 5.34437797137e-15
relative error = 2.5377173300163241112470260594534e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.323
y[1] (analytic) = 211019.46067269860992591285926802
y[1] (numeric) = 211019.46067269860992055778158908
absolute error = 5.35507767894e-15
relative error = 2.5377174512098599730394372527895e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.324
y[1] (analytic) = 211441.92191446418464533824128266
y[1] (numeric) = 211441.92191446418463997244247531
absolute error = 5.36579880735e-15
relative error = 2.5377175721665344192014921929457e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.325
y[1] (analytic) = 211865.22892419933982164450125512
y[1] (numeric) = 211865.22892419933981626795985564
absolute error = 5.37654139948e-15
relative error = 2.5377176928846624306952728940342e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.326
y[1] (analytic) = 212289.38339513267880487391253554
y[1] (numeric) = 212289.38339513267879948660703727
absolute error = 5.38730549827e-15
relative error = 2.5377178133503961541025862321437e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.327
y[1] (analytic) = 212714.38702388265086775239107158
y[1] (numeric) = 212714.38702388265086235429992475
memory used=709.5MB, alloc=4.6MB, time=35.38
absolute error = 5.39809114683e-15
relative error = 2.5377179335894782170575441299224e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.328
y[1] (analytic) = 213140.24151046433768174874454592
y[1] (numeric) = 213140.24151046433767633984615767
absolute error = 5.40889838825e-15
relative error = 2.5377180535776227941746683363161e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.329
y[1] (analytic) = 213566.94855829625337966804532946
y[1] (numeric) = 213566.94855829625337424831806366
absolute error = 5.41972726580e-15
relative error = 2.5377181733345810218433631486505e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.33
y[1] (analytic) = 213994.50987420715823197938668978
y[1] (numeric) = 213994.50987420715822654880886701
absolute error = 5.43057782277e-15
relative error = 2.5377182928488529713409337395553e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.331
y[1] (analytic) = 214422.92716844288596413273665143
y[1] (numeric) = 214422.92716844288595869128654886
absolute error = 5.44145010257e-15
relative error = 2.5377184121245550710042474467588e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.332
y[1] (analytic) = 214852.20215467318474217416787808
y[1] (numeric) = 214852.2021546731847367218237294
absolute error = 5.45234414868e-15
relative error = 2.5377185311579119529180967495022e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.333
y[1] (analytic) = 215282.33654999857185402341515908
y[1] (numeric) = 215282.33654999857184856015515438
absolute error = 5.46326000470e-15
relative error = 2.5377186499604796501019751003501e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.334
y[1] (analytic) = 215713.33207495720211383249474994
y[1] (numeric) = 215713.33207495720210835829703568
absolute error = 5.47419771426e-15
relative error = 2.5377187685171897551524117603295e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.335
y[1] (analytic) = 216145.19045353175001689901215948
y[1] (numeric) = 216145.19045353175001141385483834
absolute error = 5.48515732114e-15
relative error = 2.5377188868420523824730361432482e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.336
y[1] (analytic) = 216577.91341315630567266278721264
y[1] (numeric) = 216577.91341315630566716664834347
absolute error = 5.49613886917e-15
relative error = 2.5377190049316127221483982579811e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.337
y[1] (analytic) = 217011.50268472328454336953757038
y[1] (numeric) = 217011.50268472328453786239516811
absolute error = 5.50714240227e-15
relative error = 2.5377191227834763661475398451678e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.338
y[1] (analytic) = 217445.9600025903510160405845742
y[1] (numeric) = 217445.96000259035101052241660975
absolute error = 5.51816796445e-15
relative error = 2.5377192403962180598214559426690e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.339
y[1] (analytic) = 217881.28710458735583544287852562
y[1] (numeric) = 217881.28710458735582991366292579
absolute error = 5.52921559983e-15
relative error = 2.5377193577784706334947044596124e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.34
y[1] (analytic) = 218317.48573202328742580908453056
y[1] (numeric) = 218317.48573202328742026879917797
absolute error = 5.54028535259e-15
relative error = 2.5377194749258413608066597112376e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.341
y[1] (analytic) = 218754.5576296932371291130250575
y[1] (numeric) = 218754.55762969323712356164779049
absolute error = 5.55137726701e-15
relative error = 2.5377195918392462804273081853443e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.342
y[1] (analytic) = 219192.50454588537838776144159804
y[1] (numeric) = 219192.50454588537838219895021059
absolute error = 5.56249138745e-15
relative error = 2.5377197085156521441757586646956e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.343
y[1] (analytic) = 219631.32823238795989961881550264
y[1] (numeric) = 219631.32823238795989404518774427
absolute error = 5.57362775837e-15
relative error = 2.5377198249571412102074627016761e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.344
y[1] (analytic) = 220071.03044449631277333787741488
y[1] (numeric) = 220071.03044449631276775309099055
absolute error = 5.58478642433e-15
relative error = 2.5377199411707794674211167721056e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.345
y[1] (analytic) = 220511.61294101987171202443596924
y[1] (numeric) = 220511.61294101987170642846853928
absolute error = 5.59596742996e-15
relative error = 2.5377200571548812466850150724970e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.346
y[1] (analytic) = 220953.07748428921025332126977328
y[1] (numeric) = 220953.07748428921024771409895331
absolute error = 5.60717081997e-15
relative error = 2.5377201729035414230534658790833e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.347
y[1] (analytic) = 221395.42584016309009405205239015
y[1] (numeric) = 221395.42584016309008843365575096
absolute error = 5.61839663919e-15
relative error = 2.5377202884246640628764808812254e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.348
y[1] (analytic) = 221838.65977803552452762261829608
y[1] (numeric) = 221838.65977803552452199297336358
absolute error = 5.62964493250e-15
relative error = 2.5377204037081894486048466212355e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.349
y[1] (analytic) = 222282.78107084285602243332883606
y[1] (numeric) = 222282.78107084285601679241309115
absolute error = 5.64091574491e-15
relative error = 2.5377205187621826211727838668311e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.35
y[1] (analytic) = 222727.79149507084796961286126374
y[1] (numeric) = 222727.79149507084796396065214222
absolute error = 5.65220912152e-15
relative error = 2.5377206335946127801192615055462e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.351
y[1] (analytic) = 223173.69283076179062844042125644
y[1] (numeric) = 223173.69283076179062277689614898
absolute error = 5.66352510746e-15
relative error = 2.5377207481863882375604135191163e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.352
y[1] (analytic) = 223620.48686152162129788017006888
y[1] (numeric) = 223620.48686152162129220530632084
absolute error = 5.67486374804e-15
relative error = 2.5377208625586235783739405928317e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.353
y[1] (analytic) = 224068.1753745270587427085619565
y[1] (numeric) = 224068.17537452705873702233686792
absolute error = 5.68622508858e-15
relative error = 2.5377209766962882019647168677529e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.354
y[1] (analytic) = 224516.76016053275190277230589082
y[1] (numeric) = 224516.76016053275189707469671627
absolute error = 5.69760917455e-15
relative error = 2.5377210906108419245072704360877e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.355
y[1] (analytic) = 224966.24301387844291397179812978
y[1] (numeric) = 224966.2430138784429082627820783
absolute error = 5.70901605148e-15
relative error = 2.5377212042998841436603815047018e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=713.3MB, alloc=4.6MB, time=35.56
x[1] = 5.356
y[1] (analytic) = 225416.62573249614446962211912788
y[1] (numeric) = 225416.6257324961444639016733629
absolute error = 5.72044576498e-15
relative error = 2.5377213177560835142718512010962e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.357
y[1] (analytic) = 225867.91011791733155090104979974
y[1] (numeric) = 225867.91011791733154516915143896
absolute error = 5.73189836078e-15
relative error = 2.5377214309848559746213248337243e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.358
y[1] (analytic) = 226320.0979752801475551510385181
y[1] (numeric) = 226320.09797528014754940766463341
absolute error = 5.74337388469e-15
relative error = 2.5377215439864828183021559960689e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.359
y[1] (analytic) = 226773.19111333662485085964166242
y[1] (numeric) = 226773.19111333662484510476927981
absolute error = 5.75487238261e-15
relative error = 2.5377216567604906728672097357555e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.36
y[1] (analytic) = 227227.19134445991978820066726715
y[1] (numeric) = 227227.1913444599197824342733666
absolute error = 5.76639390055e-15
relative error = 2.5377217693143799981983581726071e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.361
y[1] (analytic) = 227682.10048465156219407607358092
y[1] (numeric) = 227682.10048465156218829813509634
absolute error = 5.77793848458e-15
relative error = 2.5377218816415042098098829993956e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.362
y[1] (analytic) = 228137.92035354871938065661237039
y[1] (numeric) = 228137.9203535487193748671061895
absolute error = 5.78950618089e-15
relative error = 2.5377219937474297958290736097904e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.363
y[1] (analytic) = 228594.65277443147469647726081644
y[1] (numeric) = 228594.6527744314746906761637807
absolute error = 5.80109703574e-15
relative error = 2.5377221056278610024908464067343e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.364
y[1] (analytic) = 229052.29957423012064920165608936
y[1] (numeric) = 229052.29957423012064338894499387
absolute error = 5.81271109549e-15
relative error = 2.5377222172817547882203898245769e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.365
y[1] (analytic) = 229510.86258353246662922803338491
y[1] (numeric) = 229510.8625835324666234036849783
absolute error = 5.82434840661e-15
relative error = 2.5377223287155647993014719708828e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.366
y[1] (analytic) = 229970.34363659116126336757158848
y[1] (numeric) = 229970.34363659116125753156257284
absolute error = 5.83600901564e-15
relative error = 2.5377224399256921793763514342950e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.367
y[1] (analytic) = 230430.74457133102942788457104412
y[1] (numeric) = 230430.74457133102942203687807489
absolute error = 5.84769296923e-15
relative error = 2.5377225509158637381428684400525e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.368
y[1] (analytic) = 230892.06722935642395024652537162
y[1] (numeric) = 230892.06722935642394438712505752
absolute error = 5.85940031410e-15
relative error = 2.5377226616796540062143115711254e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.369
y[1] (analytic) = 231354.31345595859202899090413434
y[1] (numeric) = 231354.31345595859202311977303724
absolute error = 5.87113109710e-15
relative error = 2.5377227722264399618766772340269e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.37
y[1] (analytic) = 231817.48510012305640117433564672
y[1] (numeric) = 231817.48510012305639529145028158
absolute error = 5.88288536514e-15
relative error = 2.5377228825509664583747807934814e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.371
y[1] (analytic) = 232281.58401453701128692886955982
y[1] (numeric) = 232281.58401453701128103420639458
absolute error = 5.89466316524e-15
relative error = 2.5377229926549368296570436447709e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.372
y[1] (analytic) = 232746.6120555967331407091073112
y[1] (numeric) = 232746.61205559673313480264276668
absolute error = 5.90646454452e-15
relative error = 2.5377231025425662732436619503183e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.373
y[1] (analytic) = 233212.57108341500623887321530858
y[1] (numeric) = 233212.57108341500623295492575842
absolute error = 5.91828955016e-15
relative error = 2.5377232122033241613786177015150e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.374
y[1] (analytic) = 233679.4629618285631333001810723
y[1] (numeric) = 233679.46296182856312737004284281
absolute error = 5.93013822949e-15
relative error = 2.5377233216505146862543687849733e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.375
y[1] (analytic) = 234147.28955840554000080513672594
y[1] (numeric) = 234147.28955840553999486312609605
absolute error = 5.94201062989e-15
relative error = 2.5377234308782502162890077253192e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.376
y[1] (analytic) = 234616.05274445294691817415743714
y[1] (numeric) = 234616.05274445294691222025063829
absolute error = 5.95390679885e-15
relative error = 2.5377235398871353962916457808502e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.377
y[1] (analytic) = 235085.75439502415309269964490801
y[1] (numeric) = 235085.75439502415308673381812406
absolute error = 5.96582678395e-15
relative error = 2.5377236486756141969308776107110e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.378
y[1] (analytic) = 235556.39638892638707815722803703
y[1] (numeric) = 235556.39638892638707217945740415
absolute error = 5.97777063288e-15
relative error = 2.5377237572484012180716706089302e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.379
y[1] (analytic) = 236027.98060872825200622505466029
y[1] (numeric) = 236027.98060872825200023531626688
absolute error = 5.98973839341e-15
relative error = 2.5377238656036279563830659376761e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.38
y[1] (analytic) = 236500.50894076725586340641006962
y[1] (numeric) = 236500.50894076725585740467995621
absolute error = 6.00173011341e-15
relative error = 2.5377239737412842304957451016814e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.381
y[1] (analytic) = 236973.9832751573568435767800384
y[1] (numeric) = 236973.98327515735683756303419754
absolute error = 6.01374584086e-15
relative error = 2.5377240816673387698012481104576e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.382
y[1] (analytic) = 237448.40550579652380633677860375
y[1] (numeric) = 237448.40550579652380031099297994
absolute error = 6.02578562381e-15
relative error = 2.5377241893767529271632061902623e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.383
y[1] (analytic) = 237923.77753037431187141278409754
y[1] (numeric) = 237923.77753037431186537493458712
absolute error = 6.03784951042e-15
relative error = 2.5377242968703217179005958186028e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.384
y[1] (analytic) = 238400.10125037945317940767112939
y[1] (numeric) = 238400.10125037945317335773358045
absolute error = 6.04993754894e-15
relative error = 2.5377244041461456904745601791695e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=717.1MB, alloc=4.6MB, time=35.75
TOP MAIN SOLVE Loop
x[1] = 5.385
y[1] (analytic) = 238877.37857110746284926469164576
y[1] (numeric) = 238877.37857110746284320264185802
absolute error = 6.06204978774e-15
relative error = 2.5377245112121357636102602229193e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.386
y[1] (analytic) = 239355.61140166826016286834506181
y[1] (numeric) = 239355.61140166826015679415878656
absolute error = 6.07418627525e-15
relative error = 2.5377246180607671983551371870929e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.387
y[1] (analytic) = 239834.8016549938050072669860312
y[1] (numeric) = 239834.80165499380500118063897116
absolute error = 6.08634706004e-15
relative error = 2.5377247247025089845325847313079e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.388
y[1] (analytic) = 240314.95124784574960506294892605
y[1] (numeric) = 240314.95124784574959896441673533
absolute error = 6.09853219072e-15
relative error = 2.5377248311239515303344670021876e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.389
y[1] (analytic) = 240796.06210082310556357712079008
y[1] (numeric) = 240796.06210082310555746637907402
absolute error = 6.11074171606e-15
relative error = 2.5377249373377987001775344135035e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.39
y[1] (analytic) = 241278.13613836992627345616964566
y[1] (numeric) = 241278.13613836992626733319396078
absolute error = 6.12297568488e-15
relative error = 2.5377250433369361443142315335184e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.391
y[1] (analytic) = 241761.17528878300468745203282718
y[1] (numeric) = 241761.17528878300468131679868106
absolute error = 6.13523414612e-15
relative error = 2.5377251491235021767461328804226e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.392
y[1] (analytic) = 242245.18148421958651016479072217
y[1] (numeric) = 242245.18148421958650401727357336
absolute error = 6.14751714881e-15
relative error = 2.5377252546963306836412986360938e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.393
y[1] (analytic) = 242730.15666070509882960169517612
y[1] (numeric) = 242730.15666070509882344187043402
absolute error = 6.15982474210e-15
relative error = 2.5377253600632626593665415756729e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.394
y[1] (analytic) = 243216.10275814089422146688910169
y[1] (numeric) = 243216.10275814089421529473212649
absolute error = 6.17215697520e-15
relative error = 2.5377254652163060590138133899788e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.395
y[1] (analytic) = 243703.02172031201035715824477702
y[1] (numeric) = 243703.02172031201035097373087957
absolute error = 6.18451389745e-15
relative error = 2.5377255701604363485628291038927e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.396
y[1] (analytic) = 244190.91549489494514650976316629
y[1] (numeric) = 244190.91549489494514031286760801
absolute error = 6.19689555828e-15
relative error = 2.5377256748970058584077823592595e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.397
y[1] (analytic) = 244679.78603346544744638011559918
y[1] (numeric) = 244679.78603346544744017081359197
absolute error = 6.20930200721e-15
relative error = 2.5377257794236989862962042326291e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.398
y[1] (analytic) = 245169.635291506323366250172551
y[1] (numeric) = 245169.63529150632336002843925714
absolute error = 6.22173329386e-15
relative error = 2.5377258837385668005746403133007e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.399
y[1] (analytic) = 245660.46522841525820205475232198
y[1] (numeric) = 245660.46522841525819582056285402
absolute error = 6.23418946796e-15
relative error = 2.5377259878440133345857878860983e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.4
y[1] (analytic) = 246152.27780751265402953633537191
y[1] (numeric) = 246152.27780751265402328966479256
absolute error = 6.24667057935e-15
relative error = 2.5377260917466713844521648107578e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.401
y[1] (analytic) = 246645.07499604948298847112817518
y[1] (numeric) = 246645.07499604948298221195149725
absolute error = 6.25917667793e-15
relative error = 2.5377261954370073292794366152137e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.402
y[1] (analytic) = 247138.85876521515628918062397158
y[1] (numeric) = 247138.85876521515628290891615784
absolute error = 6.27170781374e-15
relative error = 2.5377262989217720410094809989419e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.403
y[1] (analytic) = 247633.63109014540897280469695095
y[1] (numeric) = 247633.63109014540896652043291405
absolute error = 6.28426403690e-15
relative error = 2.5377264021995284461690877810387e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.404
y[1] (analytic) = 248129.39394993020045687528147721
y[1] (numeric) = 248129.39394993020045057843607957
absolute error = 6.29684539764e-15
relative error = 2.5377265052727427263788048519257e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.405
y[1] (analytic) = 248626.14932762163089779282918048
y[1] (numeric) = 248626.14932762163089148337723421
absolute error = 6.30945194627e-15
relative error = 2.5377266081355982788032938549381e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.406
y[1] (analytic) = 249123.89921024187340187100437834
y[1] (numeric) = 249123.8992102418733955489206451
absolute error = 6.32208373324e-15
relative error = 2.5377267107980819702080976970811e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.407
y[1] (analytic) = 249622.64558879112211667847258116
y[1] (numeric) = 249622.6455887911221103437317721
absolute error = 6.33474080906e-15
relative error = 2.5377268132536973238095966560528e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.408
y[1] (analytic) = 250122.39045825555623447015804628
y[1] (numeric) = 250122.39045825555622812273482193
absolute error = 6.34742322435e-15
relative error = 2.5377269154995382091406245929105e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.409
y[1] (analytic) = 250623.13581761531993956399472465
y[1] (numeric) = 250623.13581761531993320386369478
absolute error = 6.36013102987e-15
relative error = 2.5377270175481426031483480307641e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.41
y[1] (analytic) = 251124.88366985251833158297074678
y[1] (numeric) = 251124.88366985251832521010647036
absolute error = 6.37286427642e-15
relative error = 2.5377271193874368006772620151278e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.411
y[1] (analytic) = 251627.63602195922935654617007766
y[1] (numeric) = 251627.6360219592293501605470627
absolute error = 6.38562301496e-15
relative error = 2.5377272210285895063969947487106e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.412
y[1] (analytic) = 252131.39488494553177785654638708
y[1] (numeric) = 252131.39488494553177145813909058
absolute error = 6.39840729650e-15
relative error = 2.5377273224620712846120475142285e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=721.0MB, alloc=4.6MB, time=35.93
x[1] = 5.413
y[1] (analytic) = 252636.16227384754921929732379073
y[1] (numeric) = 252636.16227384754921288610661853
absolute error = 6.41121717220e-15
relative error = 2.5377274236973627094361727666276e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.414
y[1] (analytic) = 253141.94020773551031221320717272
y[1] (numeric) = 253141.94020773551030578915447944
absolute error = 6.42405269328e-15
relative error = 2.5377275247271308642789883400859e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.415
y[1] (analytic) = 253648.73070972182497911700156162
y[1] (numeric) = 253648.73070972182497268008765052
absolute error = 6.43691391110e-15
relative error = 2.5377276255588558172100746041164e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.416
y[1] (analytic) = 254156.53580696917688602678575448
y[1] (numeric) = 254156.5358069691768795769848774
absolute error = 6.44980087708e-15
relative error = 2.5377277261831254728160142399919e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.417
y[1] (analytic) = 254665.35753069863209590346032786
y[1] (numeric) = 254665.35753069863208944074668506
absolute error = 6.46271364280e-15
relative error = 2.5377278266129904499918922808875e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.418
y[1] (analytic) = 255175.19791619776395562329459717
y[1] (numeric) = 255175.19791619776394914764233729
absolute error = 6.47565225988e-15
relative error = 2.5377279268366327464990160817636e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.419
y[1] (analytic) = 255686.05900282879424898503124814
y[1] (numeric) = 255686.05900282879424249641446804
absolute error = 6.48861678010e-15
relative error = 2.5377280268644654167559353298482e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.42
y[1] (analytic) = 256197.94283403675064831617152331
y[1] (numeric) = 256197.94283403675064181456426801
absolute error = 6.50160725530e-15
relative error = 2.5377281266897978407133440881109e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.421
y[1] (analytic) = 256710.85145735764049730825826562
y[1] (numeric) = 256710.85145735764049079363452817
absolute error = 6.51462373745e-15
relative error = 2.5377282263161934132211913495032e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.422
y[1] (analytic) = 257224.7869244266409577762990583
y[1] (numeric) = 257224.78692442664095124863277969
absolute error = 6.52766627861e-15
relative error = 2.5377283257417359778507715752710e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.423
y[1] (analytic) = 257739.75129098630555310292741926
y[1] (numeric) = 257739.7512909863055465621924883
absolute error = 6.54073493096e-15
relative error = 2.5377284249706432793158776576627e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.424
y[1] (analytic) = 258255.7466168947871411934867684
y[1] (numeric) = 258255.74661689478713463965702163
absolute error = 6.55382974677e-15
relative error = 2.5377285240015085757819082201135e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.425
y[1] (analytic) = 258772.77496613407734983393995234
y[1] (numeric) = 258772.77496613407734326698917392
absolute error = 6.56695077842e-15
relative error = 2.5377286228350046532060519373954e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.426
y[1] (analytic) = 259290.83840681826250740935674404
y[1] (numeric) = 259290.83840681826250082925866565
absolute error = 6.58009807839e-15
relative error = 2.5377287214699256393180212098025e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.427
y[1] (analytic) = 259809.93901120179610200671319918
y[1] (numeric) = 259809.93901120179609541344149992
absolute error = 6.59327169926e-15
relative error = 2.5377288199031249501092376555972e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.428
y[1] (analytic) = 260330.0788556877878019918503105
y[1] (numeric) = 260330.07885568778779538537861674
absolute error = 6.60647169376e-15
relative error = 2.5377289181486603172616527447710e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.429
y[1] (analytic) = 260851.26002083630907121668531973
y[1] (numeric) = 260851.26002083630906459698720508
absolute error = 6.61969811465e-15
relative error = 2.5377290161915380200948174904549e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.43
y[1] (analytic) = 261373.48459137271541207914759057
y[1] (numeric) = 261373.48459137271540544619657571
absolute error = 6.63295101486e-15
relative error = 2.5377291140414849535731680044629e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.431
y[1] (analytic) = 261896.75465619598526972482237826
y[1] (numeric) = 261896.75465619598526307859193087
absolute error = 6.64623044739e-15
relative error = 2.5377292116944384869482034785613e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.432
y[1] (analytic) = 262421.07230838707563074593042127
y[1] (numeric) = 262421.07230838707562408639395591
absolute error = 6.65953646536e-15
relative error = 2.5377293091516563868327141091833e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.433
y[1] (analytic) = 262946.43964521729434980004929156
y[1] (numeric) = 262946.43964521729434312718016955
absolute error = 6.67286912201e-15
relative error = 2.5377294064195830337829086739603e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.434
y[1] (analytic) = 263472.85876815668923763789414154
y[1] (numeric) = 263472.8587681566892309516656709
absolute error = 6.68622847064e-15
relative error = 2.5377295034869440191854389509248e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.435
y[1] (analytic) = 264000.33178288245394409652114434
y[1] (numeric) = 264000.33178288245393739690657963
absolute error = 6.69961456471e-15
relative error = 2.5377296003627208445487203883771e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.436
y[1] (analytic) = 264528.86079928735066968149680782
y[1] (numeric) = 264528.86079928735066296846935006
absolute error = 6.71302745776e-15
relative error = 2.5377296970456257730541322589629e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.437
y[1] (analytic) = 265058.4479314881497394288907216
y[1] (numeric) = 265058.44793148814973270242351816
absolute error = 6.72646720344e-15
relative error = 2.5377297935354415250197579320177e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.438
y[1] (analytic) = 265589.09529783408607280539843756
y[1] (numeric) = 265589.09529783408606606546458206
absolute error = 6.73993385550e-15
relative error = 2.5377298898291646257655632351383e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.439
y[1] (analytic) = 266120.80502091533258347248535984
y[1] (numeric) = 266120.80502091533257671905789202
absolute error = 6.75342746782e-15
relative error = 2.5377299859322255294439551672359e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.44
y[1] (analytic) = 266653.57922757149054280816199853
y[1] (numeric) = 266653.57922757149053604121390416
absolute error = 6.76694809437e-15
relative error = 2.5377300818433229530348529379870e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.441
y[1] (analytic) = 267187.4200489000969411478559949
y[1] (numeric) = 267187.42004890009693436736020567
absolute error = 6.78049578923e-15
relative error = 2.5377301775618954975752486719647e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=724.8MB, alloc=4.6MB, time=36.11
x[1] = 5.442
y[1] (analytic) = 267722.32962026514888077383722462
y[1] (numeric) = 267722.32962026514887397976661802
absolute error = 6.79407060660e-15
relative error = 2.5377302730917687270735166152236e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.443
y[1] (analytic) = 268258.31008130564503475077930256
y[1] (numeric) = 268258.31008130564502794310670179
absolute error = 6.80767260077e-15
relative error = 2.5377303684298473194382515810185e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.444
y[1] (analytic) = 268795.36357594414420577330422012
y[1] (numeric) = 268795.36357594414419895200239397
absolute error = 6.82130182615e-15
relative error = 2.5377304635772641655655057918211e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.445
y[1] (analytic) = 269333.49225239534101925975691662
y[1] (numeric) = 269333.49225239534101242479857936
absolute error = 6.83495833726e-15
relative error = 2.5377305585355445889493189698597e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.446
y[1] (analytic) = 269872.69826317465878499499359404
y[1] (numeric) = 269872.69826317465877814635140532
absolute error = 6.84864218872e-15
relative error = 2.5377306533028161345495161404590e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.447
y[1] (analytic) = 270412.98376510685956169364180356
y[1] (numeric) = 270412.98376510685955483128836829
absolute error = 6.86235343527e-15
relative error = 2.5377307478811577514956050086377e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.448
y[1] (analytic) = 270954.35091933467145892410203688
y[1] (numeric) = 270954.35091933467145204800990514
absolute error = 6.87609213174e-15
relative error = 2.5377308422654076226299844994946e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.449
y[1] (analytic) = 271496.80189132743321090251002159
y[1] (numeric) = 271496.80189132743320401265168847
absolute error = 6.88985833312e-15
relative error = 2.5377309364689376145439073793385e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.45
y[1] (analytic) = 272040.3388508897560567349664222
y[1] (numeric) = 272040.33885088975604983131432776
absolute error = 6.90365209444e-15
relative error = 2.5377310304792764319307742845660e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.451
y[1] (analytic) = 272584.9639721702029617555664654
y[1] (numeric) = 272584.9639721702029548380929945
absolute error = 6.91747347090e-15
relative error = 2.5377311243059780147193710337901e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.452
y[1] (analytic) = 273130.67943366998521467712641348
y[1] (numeric) = 273130.67943366998520774580389571
absolute error = 6.93132251777e-15
relative error = 2.5377312179437086971673631469906e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.453
y[1] (analytic) = 273677.48741825167643534100708466
y[1] (numeric) = 273677.48741825167642839580779422
absolute error = 6.94519929044e-15
relative error = 2.5377313113905844387866352450354e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.454
y[1] (analytic) = 274225.39011314794402792207703808
y[1] (numeric) = 274225.39011314794402096297319364
absolute error = 6.95910384444e-15
relative error = 2.5377314046553490508962590754488e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.455
y[1] (analytic) = 274774.3897099702981145146398853
y[1] (numeric) = 274774.38970997029810754160364993
absolute error = 6.97303623537e-15
relative error = 2.5377314977317118591457328241892e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.456
y[1] (analytic) = 275324.48840471785798409507173732
y[1] (numeric) = 275324.48840471785797710807521835
absolute error = 6.98699651897e-15
relative error = 2.5377315906238412999578464820315e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.457
y[1] (analytic) = 275875.68839778613609192697632618
y[1] (numeric) = 275875.68839778613608492599157511
absolute error = 7.00098475107e-15
relative error = 2.5377316833280557844983827234404e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.458
y[1] (analytic) = 276427.99189397583964454486713386
y[1] (numeric) = 276427.99189397583963752986614622
absolute error = 7.01500098764e-15
relative error = 2.5377317758509090524448432237122e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.459
y[1] (analytic) = 276981.40110250168980552272819854
y[1] (numeric) = 276981.40110250168979849368291382
absolute error = 7.02904528472e-15
relative error = 2.5377318681837348177679306378949e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.46
y[1] (analytic) = 277535.91823700125855730428843154
y[1] (numeric) = 277535.91823700125855026117073304
absolute error = 7.04311769850e-15
relative error = 2.5377319603315428582484568398518e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.461
y[1] (analytic) = 278091.5455155438232544424685484
y[1] (numeric) = 278091.54551554382324738525026312
absolute error = 7.05721828528e-15
relative error = 2.5377320522984181894589090864032e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.462
y[1] (analytic) = 278648.28516063923890366622537801
y[1] (numeric) = 278648.28516063923889659487827655
absolute error = 7.07134710146e-15
relative error = 2.5377321440838605550111302665295e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.463
y[1] (analytic) = 279206.13939924682820626392564689
y[1] (numeric) = 279206.13939924682819917842144335
absolute error = 7.08550420354e-15
relative error = 2.5377322356827492753190191292212e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.464
y[1] (analytic) = 279765.11046278428939834343062553
y[1] (numeric) = 279765.11046278428939124374097737
absolute error = 7.09968964816e-15
relative error = 2.5377323270996063387604131449797e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.465
y[1] (analytic) = 280325.20058713662192460026455416
y[1] (numeric) = 280325.2005871366219174863610621
absolute error = 7.11390349206e-15
relative error = 2.5377324183341503387877381548956e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.466
y[1] (analytic) = 280886.4120126650699812965738216
y[1] (numeric) = 280886.4120126650699741684280295
absolute error = 7.12814579210e-15
relative error = 2.5377325093883838004053565774868e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.467
y[1] (analytic) = 281448.74698421608396422506073769
y[1] (numeric) = 281448.74698421608395708264413246
absolute error = 7.14241660523e-15
relative error = 2.5377326002558304453339308556152e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.468
y[1] (analytic) = 282012.2077511302998575036957038
y[1] (numeric) = 282012.20775113029985034697971524
absolute error = 7.15671598856e-15
relative error = 2.5377326909463606406628716530069e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.469
y[1] (analytic) = 282576.79656725153659911877493248
y[1] (numeric) = 282576.79656725153659194773093321
absolute error = 7.17104399927e-15
relative error = 2.5377327814540978100771138639733e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.47
y[1] (analytic) = 283142.51569093581145920579788528
y[1] (numeric) = 283142.51569093581145202039719061
absolute error = 7.18540069467e-15
relative error = 2.5377328717786852990653608207572e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=728.6MB, alloc=4.6MB, time=36.30
TOP MAIN SOLVE Loop
x[1] = 5.471
y[1] (analytic) = 283709.36738506037346712968957263
y[1] (numeric) = 283709.36738506037345992990344043
absolute error = 7.19978613220e-15
relative error = 2.5377329619251506698446663351305e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.472
y[1] (analytic) = 284277.35391703275492349808808114
y[1] (numeric) = 284277.35391703275491628388771175
absolute error = 7.21420036939e-15
relative error = 2.5377330518897003665472133024608e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.473
y[1] (analytic) = 284846.47755879984103331375745036
y[1] (numeric) = 284846.47755879984102608511398645
absolute error = 7.22864346391e-15
relative error = 2.5377331416772801576400186555326e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.474
y[1] (analytic) = 285416.7405868569576965446706013
y[1] (numeric) = 285416.74058685695768930155512779
absolute error = 7.24311547351e-15
relative error = 2.5377332312803852936074153013934e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.475
y[1] (analytic) = 285988.14528225697749246293671432
y[1] (numeric) = 285988.14528225697748520532025821
absolute error = 7.25761645611e-15
relative error = 2.5377333207105737309996621119995e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.476
y[1] (analytic) = 286560.69393061944389417652255306
y[1] (numeric) = 286560.69393061944388690437608338
absolute error = 7.27214646968e-15
relative error = 2.5377334099563192544162987679663e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.477
y[1] (analytic) = 287134.3888221397137498506380274
y[1] (numeric) = 287134.38882213971374256393245503
absolute error = 7.28670557237e-15
relative error = 2.5377334990284357982762932964206e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.478
y[1] (analytic) = 287709.23225159811806718872307048
y[1] (numeric) = 287709.23225159811805988742924809
absolute error = 7.30129382239e-15
relative error = 2.5377335879180651565741908106003e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.479
y[1] (analytic) = 288285.22651836914113781618596851
y[1] (numeric) = 288285.22651836914113050027469039
absolute error = 7.31591127812e-15
relative error = 2.5377336766349489363226299116067e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.48
y[1] (analytic) = 288862.37392643061803828340291683
y[1] (numeric) = 288862.37392643061803095284491882
absolute error = 7.33055799801e-15
relative error = 2.5377337651725437411489392598309e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.481
y[1] (analytic) = 289440.67678437295054447799507782
y[1] (numeric) = 289440.67678437295053713276103717
absolute error = 7.34523404065e-15
relative error = 2.5377338535322872504909147201988e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.482
y[1] (analytic) = 290020.13740540834149631005307752
y[1] (numeric) = 290020.13740540834148895011361276
absolute error = 7.35993946476e-15
relative error = 2.5377339417199899175566741204420e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.483
y[1] (analytic) = 290600.75810738004764960777999428
y[1] (numeric) = 290600.75810738004764223310566515
absolute error = 7.37467432913e-15
relative error = 2.5377340297250635490981462262883e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.484
y[1] (analytic) = 291182.54121277165105223497275941
y[1] (numeric) = 291182.54121277165104484553406668
absolute error = 7.38943869273e-15
relative error = 2.5377341175583810908344147388792e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.485
y[1] (analytic) = 291765.48904871634898151585880121
y[1] (numeric) = 291765.48904871634897411162618661
absolute error = 7.40423261460e-15
relative error = 2.5377342052142803456664175120137e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.486
y[1] (analytic) = 292349.60394700626248012705001871
y[1] (numeric) = 292349.60394700626247270799386478
absolute error = 7.41905615393e-15
relative error = 2.5377342926980124283062784790432e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.487
y[1] (analytic) = 292934.888244101763527690770064
y[1] (numeric) = 292934.888244101763520256860694
absolute error = 7.43390937000e-15
relative error = 2.5377343800050698040306878800154e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.488
y[1] (analytic) = 293521.3442811408208853780537425
y[1] (numeric) = 293521.34428114082087792926142028
absolute error = 7.44879232222e-15
relative error = 2.5377344671348304017052890261928e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.489
y[1] (analytic) = 294108.97440394836465090530940498
y[1] (numeric) = 294108.97440394836464344160433483
absolute error = 7.46370507015e-15
relative error = 2.5377345540972383826490318628922e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.49
y[1] (analytic) = 294697.78096304566956138247680364
y[1] (numeric) = 294697.78096304566955390382913023
absolute error = 7.47864767341e-15
relative error = 2.5377346408820780516317585917590e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.491
y[1] (analytic) = 295287.76631365975708154600431613
y[1] (numeric) = 295287.76631365975707405238412436
absolute error = 7.49362019177e-15
relative error = 2.5377347274895728048490070088315e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.492
y[1] (analytic) = 295878.93281573281631498501100531
y[1] (numeric) = 295878.93281573281630747638832017
absolute error = 7.50862268514e-15
relative error = 2.5377348139268206942658901744519e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.493
y[1] (analytic) = 296471.28283393164377604429098072
y[1] (numeric) = 296471.2828339316437685206357672
absolute error = 7.52365521352e-15
relative error = 2.5377349001907799056775664986376e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.494
y[1] (analytic) = 297064.81873765710206016326026019
y[1] (numeric) = 297064.81873765710205262454242314
absolute error = 7.53871783705e-15
relative error = 2.5377349862851203208460383482777e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.495
y[1] (analytic) = 297659.54290105359745048554009884
y[1] (numeric) = 297659.54290105359744293172948287
absolute error = 7.55381061597e-15
relative error = 2.5377350722066376216218913927217e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.496
y[1] (analytic) = 298255.45770301857649864961586068
y[1] (numeric) = 298255.45770301857649108068225003
absolute error = 7.56893361065e-15
relative error = 2.5377351579552995126714130943049e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.497
y[1] (analytic) = 298852.56552721204161774690725756
y[1] (numeric) = 298852.56552721204161016282037597
absolute error = 7.58408688159e-15
relative error = 2.5377352435341333649622829817784e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.498
y[1] (analytic) = 299450.86876206608572550963447513
y[1] (numeric) = 299450.86876206608571791036398573
absolute error = 7.59927048940e-15
relative error = 2.5377353289424359633697879417599e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=732.4MB, alloc=4.6MB, time=36.48
x[1] = 5.499
y[1] (analytic) = 300050.36980079444597586706565023
y[1] (numeric) = 300050.36980079444596825258115542
absolute error = 7.61448449481e-15
relative error = 2.5377354141790626325446711799230e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.5
y[1] (analytic) = 300651.07104140207661708508466298
y[1] (numeric) = 300651.0710414020766094553557043
absolute error = 7.62972895868e-15
relative error = 2.5377354992456769942001431054620e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.501
y[1] (analytic) = 301252.9748866947410147805245656
y[1] (numeric) = 301252.97488669474100713552062361
absolute error = 7.64500394199e-15
relative error = 2.5377355841433226928210963151094e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.502
y[1] (analytic) = 301856.08374428862287817837149474
y[1] (numeric) = 301856.08374428862287051806198891
absolute error = 7.66030950583e-15
relative error = 2.5377356688690358901550856004330e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.503
y[1] (analytic) = 302460.40002661995672805675691106
y[1] (numeric) = 302460.40002661995672038111119963
absolute error = 7.67564571143e-15
relative error = 2.5377357534257231163370964887917e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.504
y[1] (analytic) = 303065.92615095467764490162278665
y[1] (numeric) = 303065.92615095467763721061016652
absolute error = 7.69101262013e-15
relative error = 2.5377358378121231109800070664787e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.505
y[1] (analytic) = 303672.66453939809033587006522533
y[1] (numeric) = 303672.66453939809032816365493193
absolute error = 7.70641029340e-15
relative error = 2.5377359220293535867312318296976e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.506
y[1] (analytic) = 304280.61761890455755923863726122
y[1] (numeric) = 304280.61761890455755151679846838
absolute error = 7.72183879284e-15
relative error = 2.5377360060808067178147235922651e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.507
y[1] (analytic) = 304889.78782128720794509032154676
y[1] (numeric) = 304889.7878212872079373530233666
absolute error = 7.73729818016e-15
relative error = 2.5377360899654858303625486763752e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.508
y[1] (analytic) = 305500.1775832276632510714686218
y[1] (numeric) = 305500.17758322766324331868010461
absolute error = 7.75278851719e-15
relative error = 2.5377361736812416363221098409012e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.509
y[1] (analytic) = 306111.78934628578509212773676121
y[1] (numeric) = 306111.78934628578508435942689532
absolute error = 7.76830986589e-15
relative error = 2.5377362572279697722097683261679e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.51
y[1] (analytic) = 306724.62555690944118320596534039
y[1] (numeric) = 306724.62555690944117542210305203
absolute error = 7.78386228836e-15
relative error = 2.5377363406107699135018653713606e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.511
y[1] (analytic) = 307338.68866644429113398696554782
y[1] (numeric) = 307338.68866644429112618751970102
absolute error = 7.79944584680e-15
relative error = 2.5377364238267980370172286042658e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.512
y[1] (analytic) = 307953.98113114359183479242042359
y[1] (numeric) = 307953.98113114359182697735982005
absolute error = 7.81506060354e-15
relative error = 2.5377365068750064944220748982676e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.513
y[1] (analytic) = 308570.50541217802247288745092533
y[1] (numeric) = 308570.50541217802246505674430429
absolute error = 7.83070662104e-15
relative error = 2.5377365897560453837843768124236e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.514
y[1] (analytic) = 309188.2639756455292184789263318
y[1] (numeric) = 309188.26397564552921063254236991
absolute error = 7.84638396189e-15
relative error = 2.5377366724721648349528488353799e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.515
y[1] (analytic) = 309807.2592925811896197882761037
y[1] (numeric) = 309807.2592925811896119261834149
absolute error = 7.86209268880e-15
relative error = 2.5377367550238903900997650208631e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.516
y[1] (analytic) = 310427.49383896709674665639664538
y[1] (numeric) = 310427.49383896709673877856378078
absolute error = 7.87783286460e-15
relative error = 2.5377368374099593466456426358212e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.517
y[1] (analytic) = 311048.97009574226312221724056607
y[1] (numeric) = 311048.97009574226311432363601381
absolute error = 7.89360455226e-15
relative error = 2.5377369196336876605168196144378e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.518
y[1] (analytic) = 311671.69054881254448225582834006
y[1] (numeric) = 311671.69054881254447434642052521
absolute error = 7.90940781485e-15
relative error = 2.5377370016900094419090009713191e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.519
y[1] (analytic) = 312295.65768906058340194573302976
y[1] (numeric) = 312295.65768906058339402049031416
absolute error = 7.92524271560e-15
relative error = 2.5377370835846923246338311538349e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.52
y[1] (analytic) = 312920.87401235577282974055827952
y[1] (numeric) = 312920.87401235577282179944896169
absolute error = 7.94110931783e-15
relative error = 2.5377371653117787728146825393827e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.521
y[1] (analytic) = 313547.34201956423956827355843109
y[1] (numeric) = 313547.34201956423956031655074606
absolute error = 7.95700768503e-15
relative error = 2.5377372468791366776782486335895e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.522
y[1] (analytic) = 314175.06421655884774219933767024
y[1] (numeric) = 314175.06421655884773422639978945
absolute error = 7.97293788079e-15
relative error = 2.5377373282859601114429152395845e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.523
y[1] (analytic) = 314804.04311422922229299151290952
y[1] (numeric) = 314804.04311422922228500261294071
absolute error = 7.98889996881e-15
relative error = 2.5377374095259514482347980971587e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.524
y[1] (analytic) = 315434.2812284917925407903329624
y[1] (numeric) = 315434.28122849179253278543894945
absolute error = 8.00489401295e-15
relative error = 2.5377374906031466243014974154320e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.525
y[1] (analytic) = 316065.78108029985585347451479059
y[1] (numeric) = 316065.78108029985584545359471339
absolute error = 8.02092007720e-15
relative error = 2.5377375715222396657131879867982e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.526
y[1] (analytic) = 316698.54519565366146321198653022
y[1] (numeric) = 316698.54519565366145517500830458
absolute error = 8.03697822564e-15
relative error = 2.5377376522758648496448619965164e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.527
y[1] (analytic) = 317332.576105610514470824816945
y[1] (numeric) = 317332.57610561051446277174842247
absolute error = 8.05306852253e-15
relative error = 2.5377377328729976100507819346836e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=736.2MB, alloc=4.6MB, time=36.67
TOP MAIN SOLVE Loop
x[1] = 5.528
y[1] (analytic) = 317967.87634629490007838436223784
y[1] (numeric) = 317967.87634629490007031517120563
absolute error = 8.06919103221e-15
relative error = 2.5377378133072610690887037871181e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.529
y[1] (analytic) = 318604.44845890862809053357410082
y[1] (numeric) = 318604.44845890862808244822828165
absolute error = 8.08534581917e-15
relative error = 2.5377378935789690695225787086757e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.53
y[1] (analytic) = 319242.29498974099772511448781845
y[1] (numeric) = 319242.29498974099771701295487042
absolute error = 8.10153294803e-15
relative error = 2.5377379736887139582965843124126e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.531
y[1] (analytic) = 319881.4184901789827737601464875
y[1] (numeric) = 319881.41849017898276564239400395
absolute error = 8.11775248355e-15
relative error = 2.5377380536404091541206131537093e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.532
y[1] (analytic) = 320521.82151671743715319161730108
y[1] (numeric) = 320521.82151671743714505761281047
absolute error = 8.13400449061e-15
relative error = 2.5377381334349353254347572280674e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.533
y[1] (analytic) = 321163.50663096932088804231869264
y[1] (numeric) = 321163.50663096932087989202965844
absolute error = 8.15028903420e-15
relative error = 2.5377382130669760564561033165290e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.534
y[1] (analytic) = 321806.47639967594656611360327176
y[1] (numeric) = 321806.47639967594655794699709229
absolute error = 8.16660617947e-15
relative error = 2.5377382925405362128007277170232e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.535
y[1] (analytic) = 322450.73339471724630704743123598
y[1] (numeric) = 322450.73339471724629886447524429
absolute error = 8.18295599169e-15
relative error = 2.5377383718563632417394019241306e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.536
y[1] (analytic) = 323096.28019312205928548402263868
y[1] (numeric) = 323096.28019312205927728468410242
absolute error = 8.19933853626e-15
relative error = 2.5377384510149938105509291968126e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.537
y[1] (analytic) = 323743.11937707843984985459486032
y[1] (numeric) = 323743.11937707843984163884098162
absolute error = 8.21575387870e-15
relative error = 2.5377385300135862172737438478573e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.538
y[1] (analytic) = 324391.2535339439862780416741982
y[1] (numeric) = 324391.25353394398626980947211353
absolute error = 8.23220208467e-15
relative error = 2.5377386088520387171409041404110e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.539
y[1] (analytic) = 325040.68525625619021122201798755
y[1] (numeric) = 325040.68525625619020297333476757
absolute error = 8.24868321998e-15
relative error = 2.5377386875359580053198836534888e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.54
y[1] (analytic) = 325691.41714174280680728989642498
y[1] (numeric) = 325691.41714174280679902469907444
absolute error = 8.26519735054e-15
relative error = 2.5377387660611694423461623184047e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.541
y[1] (analytic) = 326343.45179333224565534136161426
y[1] (numeric) = 326343.45179333224564705961707184
absolute error = 8.28174454242e-15
relative error = 2.5377388444321192879089699443174e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.542
y[1] (analytic) = 326996.79181916398249278317562604
y[1] (numeric) = 326996.79181916398248448485076425
absolute error = 8.29832486179e-15
relative error = 2.5377389226433591441590658068707e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.543
y[1] (analytic) = 327651.4398325989917667132798896
y[1] (numeric) = 327651.43983259899175839834151462
absolute error = 8.31493837498e-15
relative error = 2.5377390006978759725571721864983e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.544
y[1] (analytic) = 328307.39845223020008130306534842
y[1] (numeric) = 328307.39845223020007297148019997
absolute error = 8.33158514845e-15
relative error = 2.5377390785977894678193635565461e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.545
y[1] (analytic) = 328964.67030189296057299524684676
y[1] (numeric) = 328964.67030189296056464698159798
absolute error = 8.34826524878e-15
relative error = 2.5377391563412399663773250244764e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.546
y[1] (analytic) = 329623.25801067554825541485650453
y[1] (numeric) = 329623.25801067554824704987776183
absolute error = 8.36497874270e-15
relative error = 2.5377392339314486186787987189947e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.547
y[1] (analytic) = 330283.16421292967637597474971809
y[1] (numeric) = 330283.16421292967636759302402104
absolute error = 8.38172569705e-15
relative error = 2.5377393113644750893344757314906e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.548
y[1] (analytic) = 330944.39154828103382624106423108
y[1] (numeric) = 330944.39154828103381784255805225
absolute error = 8.39850617883e-15
relative error = 2.5377393886443164537951670917416e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.549
y[1] (analytic) = 331606.9426616398436482082877867
y[1] (numeric) = 331606.94266163984363979296753155
absolute error = 8.41532025515e-15
relative error = 2.5377394657676691721658581577531e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.55
y[1] (analytic) = 332270.82020321144267871797353996
y[1] (numeric) = 332270.82020321144267028580554668
absolute error = 8.43216799328e-15
relative error = 2.5377395427389690324813476955217e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.551
y[1] (analytic) = 332936.02682850688237433969501079
y[1] (numeric) = 332936.02682850688236589064555019
absolute error = 8.44904946060e-15
relative error = 2.5377396195552152698682890349678e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.552
y[1] (analytic) = 333602.56519835355085911755423639
y[1] (numeric) = 333602.56519835355085065158951175
absolute error = 8.46596472464e-15
relative error = 2.5377396962179541997797004037811e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.553
y[1] (analytic) = 334270.4379789058162376704482715
y[1] (numeric) = 334270.43797890581622918753441844
absolute error = 8.48291385306e-15
relative error = 2.5377397727271699362983434241202e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.554
y[1] (analytic) = 334939.6478416556912162193606288
y[1] (numeric) = 334939.64784165569120771946371513
absolute error = 8.49989691367e-15
relative error = 2.5377398490871903653423764019115e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.555
y[1] (analytic) = 335610.19746344351907420017598798
y[1] (numeric) = 335610.1974634435190656832620136
absolute error = 8.51691397438e-15
relative error = 2.5377399252916647181841529462474e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.556
y[1] (analytic) = 336282.08952646868102920591887296
y[1] (numeric) = 336282.08952646868102067195376969
absolute error = 8.53396510327e-15
relative error = 2.5377400013444051392732836597707e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=740.0MB, alloc=4.6MB, time=36.85
TOP MAIN SOLVE Loop
x[1] = 5.557
y[1] (analytic) = 336955.3267183003250380878903424
y[1] (numeric) = 336955.32671830032502953683997385
absolute error = 8.55105036855e-15
relative error = 2.5377400772473336054378259035172e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.558
y[1] (analytic) = 337629.91173188811607713092140326
y[1] (numeric) = 337629.91173188811606856275156473
absolute error = 8.56816983853e-15
relative error = 2.5377401529915343914352893160018e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.559
y[1] (analytic) = 338305.84726557300794430387818229
y[1] (numeric) = 338305.84726557300793571855460056
absolute error = 8.58532358173e-15
relative error = 2.5377402285897964220291541547236e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.56
y[1] (analytic) = 338983.13602309803662667264221947
y[1] (numeric) = 338983.13602309803661807013055273
absolute error = 8.60251166674e-15
relative error = 2.5377403040350160118538045305627e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.561
y[1] (analytic) = 339661.78071361913527614904992694
y[1] (numeric) = 339661.78071361913526752931576461
absolute error = 8.61973416233e-15
relative error = 2.5377403793326994427963974978365e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.562
y[1] (analytic) = 340341.78405171597083683570862877
y[1] (numeric) = 340341.78405171597082819871749141
absolute error = 8.63699113736e-15
relative error = 2.5377404544743124713272004795224e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.563
y[1] (analytic) = 341023.14875740280236731321301
y[1] (numeric) = 341023.14875740280235865893034911
absolute error = 8.65428266089e-15
relative error = 2.5377405294695954519152441911297e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.564
y[1] (analytic) = 341705.87755613936110130306560123
y[1] (numeric) = 341705.87755613936109263145679915
absolute error = 8.67160880208e-15
relative error = 2.5377406043170353832523904692034e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.565
y[1] (analytic) = 342389.97317884175229022655845751
y[1] (numeric) = 342389.97317884175228153758882729
absolute error = 8.68896963022e-15
relative error = 2.5377406790126590830602001183000e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.566
y[1] (analytic) = 343075.43836189337887126700080268
y[1] (numeric) = 343075.43836189337886256063558792
absolute error = 8.70636521476e-15
relative error = 2.5377407535587214611245908950925e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.567
y[1] (analytic) = 343762.27584715588700462997945298
y[1] (numeric) = 343762.2758471558869959061838277
absolute error = 8.72379562528e-15
relative error = 2.5377408279548357012300348480495e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.568
y[1] (analytic) = 344450.48838198013352378381565505
y[1] (numeric) = 344450.48838198013351504255472353
absolute error = 8.74126093152e-15
relative error = 2.5377409022066282900035970319229e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.569
y[1] (analytic) = 345140.0787192171753425500339234
y[1] (numeric) = 345140.07871921717533379127272009
absolute error = 8.75876120331e-15
relative error = 2.5377409763053165424348227717184e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.57
y[1] (analytic) = 345831.04961722928086300148589183
y[1] (numeric) = 345831.04961722928085422518938115
absolute error = 8.77629651068e-15
relative error = 2.5377410502595789672192272238038e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.571
y[1] (analytic) = 346523.40383990096342821377545304
y[1] (numeric) = 346523.40383990096341941990852928
absolute error = 8.79386692376e-15
relative error = 2.5377411240664423030764156665149e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.572
y[1] (analytic) = 347217.14415665003686400381090352
y[1] (numeric) = 347217.1441566500368551923383907
absolute error = 8.81147251282e-15
relative error = 2.5377411977228369455899228539585e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.573
y[1] (analytic) = 347912.27334243869315387766578869
y[1] (numeric) = 347912.27334243869314504855244039
absolute error = 8.82911334830e-15
relative error = 2.5377412712341400946091972611440e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.574
y[1] (analytic) = 348608.79417778460229149846300976
y[1] (numeric) = 348608.79417778460228265167350901
absolute error = 8.84678950075e-15
relative error = 2.5377413445967994265003121579874e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.575
y[1] (analytic) = 349306.70944877203435507370686391
y[1] (numeric) = 349306.70944877203434620920582302
absolute error = 8.86450104089e-15
relative error = 2.5377414178155181704792301071556e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.576
y[1] (analytic) = 350006.02194706300384815037539633
y[1] (numeric) = 350006.02194706300383926812735678
absolute error = 8.88224803955e-15
relative error = 2.5377414908859494181429216481785e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.577
y[1] (analytic) = 350706.73446990843635139515110383
y[1] (numeric) = 350706.7344699084363424951205361
absolute error = 8.90003056773e-15
relative error = 2.5377415638118138612224259995867e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.578
y[1] (analytic) = 351408.84982015935753002641199958
y[1] (numeric) = 351408.84982015935752110856330303
absolute error = 8.91784869655e-15
relative error = 2.5377416365905101318513736224519e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.579
y[1] (analytic) = 352112.37080627810454165402768583
y[1] (numeric) = 352112.37080627810453271832518854
absolute error = 8.93570249729e-15
relative error = 2.5377417092244570245294349125115e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.58
y[1] (analytic) = 352817.30024234955988937260674218
y[1] (numeric) = 352817.30024234955988041901470082
absolute error = 8.95359204136e-15
relative error = 2.5377417817124596670546288723480e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.581
y[1] (analytic) = 353523.64094809240776504362278101
y[1] (numeric) = 353523.64094809240775607210538068
absolute error = 8.97151740033e-15
relative error = 2.5377418540581507231026528841273e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.582
y[1] (analytic) = 354231.39574887041292779180730686
y[1] (numeric) = 354231.39574887041291880232866098
absolute error = 8.98947864588e-15
relative error = 2.5377419262557463484587227126579e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.583
y[1] (analytic) = 354940.56747570372216283133840405
y[1] (numeric) = 354940.56747570372215382386255417
absolute error = 9.00747584988e-15
relative error = 2.5377419983125983047008411998550e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.584
y[1] (analytic) = 355651.15896528018836582767562566
y[1] (numeric) = 355651.15896528018835680216654137
absolute error = 9.02550908429e-15
relative error = 2.5377420702208647284464014328229e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=743.8MB, alloc=4.6MB, time=37.04
x[1] = 5.585
y[1] (analytic) = 356363.17305996671729809139363028
y[1] (numeric) = 356363.17305996671728904781520901
absolute error = 9.04357842127e-15
relative error = 2.5377421419884482126213580913002e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.586
y[1] (analytic) = 357076.61260782063705799105047056
y[1] (numeric) = 357076.61260782063704892936653747
absolute error = 9.06168393309e-15
relative error = 2.5377422136135533598948048385883e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.587
y[1] (analytic) = 357791.4804626010903140629913446
y[1] (numeric) = 357791.48046260109030498316565243
absolute error = 9.07982569217e-15
relative error = 2.5377422850958822495676621017344e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.588
y[1] (analytic) = 358507.77948378044934538703543886
y[1] (numeric) = 358507.77948378044933628903166779
absolute error = 9.09800377107e-15
relative error = 2.5377423564337494123988293189028e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.589
y[1] (analytic) = 359225.51253655575393488822258554
y[1] (numeric) = 359225.51253655575392577200434303
absolute error = 9.11621824251e-15
relative error = 2.5377424276295824402657010650767e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.59
y[1] (analytic) = 359944.68249186017216131620819178
y[1] (numeric) = 359944.68249186017215218173901244
absolute error = 9.13446917934e-15
relative error = 2.5377424986814655528024875298257e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.591
y[1] (analytic) = 360665.29222637448413574548963947
y[1] (numeric) = 360665.29222637448412659273298489
absolute error = 9.15275665458e-15
relative error = 2.5377425695941927091193278126359e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.592
y[1] (analytic) = 361387.34462253858872853142546808
y[1] (numeric) = 361387.34462253858871936034472672
absolute error = 9.17108074136e-15
relative error = 2.5377426403625171724677261749148e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.593
y[1] (analytic) = 362110.84256856303333274897050708
y[1] (numeric) = 362110.84256856303332355952899409
absolute error = 9.18944151299e-15
relative error = 2.5377427109905019259853216885329e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.594
y[1] (analytic) = 362835.78895844056671023319608572
y[1] (numeric) = 362835.78895844056670102535704281
absolute error = 9.20783904291e-15
relative error = 2.5377427814775657420977403896811e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.595
y[1] (analytic) = 363562.18669195771496643299488614
y[1] (numeric) = 363562.18669195771495720672148143
absolute error = 9.22627340471e-15
relative error = 2.5377428518239497412404176215985e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.596
y[1] (analytic) = 364290.03867470638070038188528929
y[1] (numeric) = 364290.03867470638069113714061716
absolute error = 9.24474467213e-15
relative error = 2.5377429220306284025496829240199e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.597
y[1] (analytic) = 365019.34781809546537618253056232
y[1] (numeric) = 365019.34781809546536691927764327
absolute error = 9.26325291905e-15
relative error = 2.5377429920964818499762500955764e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.598
y[1] (analytic) = 365750.11703936251496249447432214
y[1] (numeric) = 365750.11703936251495321267610263
absolute error = 9.28179821951e-15
relative error = 2.5377430620237041530464511170524e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.599
y[1] (analytic) = 366482.34926158538888660766575346
y[1] (numeric) = 366482.34926158538887730728510579
absolute error = 9.30038064767e-15
relative error = 2.5377431318067748904654808760676e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.6
y[1] (analytic) = 367216.04741369395234977760643422
y[1] (numeric) = 367216.04741369395234045860615633
absolute error = 9.31900027789e-15
relative error = 2.5377432014542408734703720699459e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.601
y[1] (analytic) = 367951.21443048179205059139569848
y[1] (numeric) = 367951.21443048179204125373851384
absolute error = 9.33765718464e-15
relative error = 2.5377432709640352727605691612919e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.602
y[1] (analytic) = 368687.8532526179553632275836222
y[1] (numeric) = 368687.85325261795535387123217967
absolute error = 9.35635144253e-15
relative error = 2.5377433403316394753281275924850e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.603
y[1] (analytic) = 369425.96682665871301756656032339
y[1] (numeric) = 369425.96682665871300819147719705
absolute error = 9.37508312634e-15
relative error = 2.5377434095581475696428182547561e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.604
y[1] (analytic) = 370165.55810505934532820221770183
y[1] (numeric) = 370165.55810505934531880836539081
absolute error = 9.39385231102e-15
relative error = 2.5377434786501296577195408772838e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.605
y[1] (analytic) = 370906.63004618595201949981537988
y[1] (numeric) = 370906.63004618595201008715630825
absolute error = 9.41265907163e-15
relative error = 2.5377435476033197310940433423886e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.606
y[1] (analytic) = 371649.18561432728569393936682246
y[1] (numeric) = 371649.18561432728568450786333907
absolute error = 9.43150348339e-15
relative error = 2.5377436164160964118352038433382e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.607
y[1] (analytic) = 372393.22777970660899107843478756
y[1] (numeric) = 372393.22777970660898162804916587
absolute error = 9.45038562169e-15
relative error = 2.5377436850920612388268429071966e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.608
y[1] (analytic) = 373138.75951849357548456298776804
y[1] (numeric) = 373138.75951849357547509368220597
absolute error = 9.46930556207e-15
relative error = 2.5377437536345458219053797031257e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.609
y[1] (analytic) = 373885.78381281613436470992130932
y[1] (numeric) = 373885.78381281613435522165792914
absolute error = 9.48826338018e-15
relative error = 2.5377438220358351431750164189186e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.61
y[1] (analytic) = 374634.30365077245895427999040616
y[1] (numeric) = 374634.30365077245894477273125427
absolute error = 9.50725915189e-15
relative error = 2.5377438903065589493255774918467e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.611
y[1] (analytic) = 375384.32202644289910515523197451
y[1] (numeric) = 375384.32202644289909562893902137
absolute error = 9.52629295314e-15
relative error = 2.5377439584354689500121788301430e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.612
y[1] (analytic) = 376135.84193990195752373048004519
y[1] (numeric) = 376135.8419399019575141851151851
absolute error = 9.54536486009e-15
relative error = 2.5377440264294553676016247554387e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.613
y[1] (analytic) = 376888.86639723029007292429121347
y[1] (numeric) = 376888.86639723029006335981626445
absolute error = 9.56447494902e-15
relative error = 2.5377440942867523640128515389148e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=747.7MB, alloc=4.6MB, time=37.22
TOP MAIN SOLVE Loop
x[1] = 5.614
y[1] (analytic) = 377643.39841052673009881050438886
y[1] (numeric) = 377643.39841052673008922688109248
absolute error = 9.58362329638e-15
relative error = 2.5377441620101834465079497625611e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.615
y[1] (analytic) = 378399.44099792033682996775740373
y[1] (numeric) = 378399.44099792033682036494742498
absolute error = 9.60280997875e-15
relative error = 2.5377442295964640529404313092412e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.616
y[1] (analytic) = 379156.99718358246789774057394345
y[1] (numeric) = 379156.99718358246788811853887056
absolute error = 9.62203507289e-15
relative error = 2.5377442970493688108154839910888e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.617
y[1] (analytic) = 379916.06999773887602570211793888
y[1] (numeric) = 379916.06999773887601606081928318
absolute error = 9.64129865570e-15
relative error = 2.5377443643690517082441766749246e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.618
y[1] (analytic) = 380676.6624766818299367053894014
y[1] (numeric) = 380676.66247668182992704478859719
absolute error = 9.66060080421e-15
relative error = 2.5377444315493744149132000483331e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.619
y[1] (analytic) = 381438.77766278225952600650606636
y[1] (numeric) = 381438.7776627822595163265644707
absolute error = 9.67994159566e-15
relative error = 2.5377444985988615602103665598173e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.62
y[1] (analytic) = 382202.41860450192534904077953154
y[1] (numeric) = 382202.41860450192533934145842414
absolute error = 9.69932110740e-15
relative error = 2.5377445655143095512873885580751e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.621
y[1] (analytic) = 382967.58835640561247252955322113
y[1] (numeric) = 382967.58835640561246281081380419
absolute error = 9.71873941694e-15
relative error = 2.5377446322938785358212244303553e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.622
y[1] (analytic) = 383734.2899791733487376932228609
y[1] (numeric) = 383734.28997917334872795502625893
absolute error = 9.73819660197e-15
relative error = 2.5377446989422100480977009144056e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.623
y[1] (analytic) = 384502.52653961264748444350860766
y[1] (numeric) = 384502.52653961264747468581586735
absolute error = 9.75769274031e-15
relative error = 2.5377447654572777201255895673883e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.624
y[1] (analytic) = 385272.30111067077478552589192582
y[1] (numeric) = 385272.30111067077477574866401588
absolute error = 9.77722790994e-15
relative error = 2.5377448318381596118235002845796e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.625
y[1] (analytic) = 386043.61677144704123968117013706
y[1] (numeric) = 386043.61677144704122988436794805
absolute error = 9.79680218901e-15
relative error = 2.5377448980875368418196390475132e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.626
y[1] (analytic) = 386816.47660720511837299331767836
y[1] (numeric) = 386816.47660720511836317690202256
absolute error = 9.81641565580e-15
relative error = 2.5377449642012360109803616498172e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.627
y[1] (analytic) = 387590.88370938537969768927588179
y[1] (numeric) = 387590.88370938537968785320749299
absolute error = 9.83606838880e-15
relative error = 2.5377450301888570949269559461060e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.628
y[1] (analytic) = 388366.84117561726647775492292982
y[1] (numeric) = 388366.84117561726646789916246323
absolute error = 9.85576046659e-15
relative error = 2.5377450960426565954317943857571e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.629
y[1] (analytic) = 389144.35210973167825083030293792
y[1] (numeric) = 389144.35210973167824095481096998
absolute error = 9.87549196794e-15
relative error = 2.5377451617633370262220436942864e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.63
y[1] (analytic) = 389923.41962177338815594621826593
y[1] (numeric) = 389923.41962177338814605095529415
absolute error = 9.89526297178e-15
relative error = 2.5377452273521882298448144351845e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.631
y[1] (analytic) = 390704.0468280134831167635125583
y[1] (numeric) = 390704.0468280134831068484390011
absolute error = 9.91507355720e-15
relative error = 2.5377452928110006847392422650949e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.632
y[1] (analytic) = 391486.2368509618289300757940574
y[1] (numeric) = 391486.23685096182892014087025396
absolute error = 9.93492380344e-15
relative error = 2.5377453581394252866628609903541e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.633
y[1] (analytic) = 392269.99281937956030943596982079
y[1] (numeric) = 392269.99281937956029948115603089
absolute error = 9.95481378990e-15
relative error = 2.5377454233374631186381088821736e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.634
y[1] (analytic) = 393055.317868291595933866782002
y[1] (numeric) = 393055.31786829159592389203840587
absolute error = 9.97474359613e-15
relative error = 2.5377454884028369976247654932818e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.635
y[1] (analytic) = 393842.2151389991785517155577238
y[1] (numeric) = 393842.21513899917854172084442193
absolute error = 9.99471330187e-15
relative error = 2.5377455533410897882349144885052e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.636
y[1] (analytic) = 394630.6877790924401898136046829
y[1] (numeric) = 394630.68777909244017979888169591
absolute error = 1.001472298699e-14
relative error = 2.5377456181502214848647515677537e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.637
y[1] (analytic) = 395420.73894246299251820110587746
y[1] (numeric) = 395420.73894246299250816633314594
absolute error = 1.003477273152e-14
relative error = 2.5377456828282704017196048926825e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.638
y[1] (analytic) = 396212.37178931654242077898914414
y[1] (numeric) = 396212.37178931654241072412652846
absolute error = 1.005486261568e-14
relative error = 2.5377457473808037688312067411894e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.639
y[1] (analytic) = 397005.58948618553282235007093268
y[1] (numeric) = 397005.58948618553281227507821289
absolute error = 1.007499271979e-14
relative error = 2.5377458117980920926613385057488e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.64
y[1] (analytic) = 397800.3952059418088226127993375
y[1] (numeric) = 397800.39520594180881251763621309
absolute error = 1.009516312441e-14
relative error = 2.5377458760903744802611924731750e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.641
y[1] (analytic) = 398596.79212780930918777214924888
y[1] (numeric) = 398596.79212780930917765677533868
absolute error = 1.011537391020e-14
relative error = 2.5377459402524555302548956883629e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.642
y[1] (analytic) = 399394.78343737678325053365298983
y[1] (numeric) = 399394.78343737678324039802783181
absolute error = 1.013562515802e-14
relative error = 2.5377460042888162010300034146926e-18 %
Correct digits = 19
h = 0.001
memory used=751.5MB, alloc=4.6MB, time=37.41
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.643
y[1] (analytic) = 400194.37232661053326934818337026
y[1] (numeric) = 400194.37232661053325919226642141
absolute error = 1.015591694885e-14
relative error = 2.5377460681934462670683106814981e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.644
y[1] (analytic) = 400995.56199386718229787694312769
y[1] (numeric) = 400995.5619938671822877006937638
absolute error = 1.017624936389e-14
relative error = 2.5377461319748060812744591074925e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.645
y[1] (analytic) = 401798.35564390646761574815563798
y[1] (numeric) = 401798.35564390646760555153315354
absolute error = 1.019662248444e-14
relative error = 2.5377461956257357287322122391530e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.646
y[1] (analytic) = 402602.75648790405977177919698105
y[1] (numeric) = 402602.75648790405976156216058905
absolute error = 1.021703639200e-14
relative error = 2.5377462591483683174063156305946e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.647
y[1] (analytic) = 403408.76774346440729094035934198
y[1] (numeric) = 403408.76774346440728070286817375
absolute error = 1.023749116823e-14
relative error = 2.5377463225440411275321413744485e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.648
y[1] (analytic) = 404216.3926346336070964390907289
y[1] (numeric) = 404216.39263463360708618110383394
absolute error = 1.025798689496e-14
relative error = 2.5377463858156966016208290596664e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.649
y[1] (analytic) = 405025.63439191230069840641650514
y[1] (numeric) = 405025.63439191230068812789285099
absolute error = 1.027852365415e-14
relative error = 2.5377464489579095396211259698190e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.65
y[1] (analytic) = 405836.4962522685962007703146764
y[1] (numeric) = 405836.49625226859619047121314843
absolute error = 1.029910152797e-14
relative error = 2.5377465119766021484432026669754e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.651
y[1] (analytic) = 406648.98145915101617800408965552
y[1] (numeric) = 406648.98145915101616768436905679
absolute error = 1.031972059873e-14
relative error = 2.5377465748716362364263219034748e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.652
y[1] (analytic) = 407463.09326250147147354126876242
y[1] (numeric) = 407463.09326250147146320088781354
absolute error = 1.034038094888e-14
relative error = 2.5377466376367927227050970822129e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.653
y[1] (analytic) = 408278.83491876826097175223241718
y[1] (numeric) = 408278.83491876826096139114975608
absolute error = 1.036108266110e-14
relative error = 2.5377467002817953511528162006975e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.654
y[1] (analytic) = 409096.20969091909739548168326554
y[1] (numeric) = 409096.20969091909738509985744738
absolute error = 1.038182581816e-14
relative error = 2.5377467627978490928264860791929e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.655
y[1] (analytic) = 409915.22084845415918125016175486
y[1] (numeric) = 409915.22084845415917084755125182
absolute error = 1.040261050304e-14
relative error = 2.5377468251870183088616747152719e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.656
y[1] (analytic) = 410735.87166741916848432712636874
y[1] (numeric) = 410735.87166741916847390368956984
absolute error = 1.042343679890e-14
relative error = 2.5377468874547338538914032081756e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.657
y[1] (analytic) = 411558.16543041849536598763625011
y[1] (numeric) = 411558.16543041849535554333146109
absolute error = 1.044430478902e-14
relative error = 2.5377469495950998234615325081151e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.658
y[1] (analytic) = 412382.10542662828821536940271184
y[1] (numeric) = 412382.10542662828820490418815495
absolute error = 1.046521455689e-14
relative error = 2.5377470116127501131795795118646e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.659
y[1] (analytic) = 413207.69495180963045845191457013
y[1] (numeric) = 413207.69495180963044796574838399
absolute error = 1.048616618614e-14
relative error = 2.5377470735057220298746443654525e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.66
y[1] (analytic) = 414034.93730832172360678449075965
y[1] (numeric) = 414034.93730832172359627733099907
absolute error = 1.050715976058e-14
relative error = 2.5377471352751022292927922614140e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.661
y[1] (analytic) = 414863.8358051350966986954727199
y[1] (numeric) = 414863.83580513509668816727735571
absolute error = 1.052819536419e-14
relative error = 2.5377471969225051038950056256835e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.662
y[1] (analytic) = 415694.39375784484218582033900222
y[1] (numeric) = 415694.39375784484217527106592111
absolute error = 1.054927308111e-14
relative error = 2.5377472584475810560531056126768e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.663
y[1] (analytic) = 416526.61448868387831789230585775
y[1] (numeric) = 416526.61448868387830732191286211
absolute error = 1.057039299564e-14
relative error = 2.5377473198479552558575873089498e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.664
y[1] (analytic) = 417360.50132653623807884497065192
y[1] (numeric) = 417360.50132653623806825341545965
absolute error = 1.059155519227e-14
relative error = 2.5377473811263551194859217855025e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.665
y[1] (analytic) = 418196.05760695038472738276023462
y[1] (numeric) = 418196.05760695038471677000047897
absolute error = 1.061275975565e-14
relative error = 2.5377474422833049656544621006805e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.666
y[1] (analytic) = 419033.28667215255399528136430187
y[1] (numeric) = 419033.28667215255398464735753129
absolute error = 1.063400677058e-14
relative error = 2.5377475033146806725322737874933e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.667
y[1] (analytic) = 419872.19187106012299678696474046
y[1] (numeric) = 419872.19187106012298613166841839
absolute error = 1.065529632207e-14
relative error = 2.5377475642259653594694345608387e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.668
y[1] (analytic) = 420712.77655929500590258991637748
y[1] (numeric) = 420712.7765592950058919132878822
absolute error = 1.067662849528e-14
relative error = 2.5377476250178112658180356907993e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.669
y[1] (analytic) = 421555.0440991970764319555928905
y[1] (numeric) = 421555.04409919707642125758951499
absolute error = 1.069800337551e-14
relative error = 2.5377476856836348252975050586816e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.67
y[1] (analytic) = 422398.99785983761721670238429852
y[1] (numeric) = 422398.99785983761720598296325023
absolute error = 1.071942104829e-14
relative error = 2.5377477462309149961919851116225e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=755.3MB, alloc=4.6MB, time=37.59
x[1] = 5.671
y[1] (analytic) = 423244.64121703279609082431987792
y[1] (numeric) = 423244.64121703279608008343827864
absolute error = 1.074088159928e-14
relative error = 2.5377478066573452438534236024216e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.672
y[1] (analytic) = 424091.9775533571693596634929625
y[1] (numeric) = 424091.97755335716934890110784818
absolute error = 1.076238511432e-14
relative error = 2.5377478669626400967944498162058e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.673
y[1] (analytic) = 424941.01025815721210264538232166
y[1] (numeric) = 424941.01025815721209186145064222
absolute error = 1.078393167944e-14
relative error = 2.5377479271507875177956711793552e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.674
y[1] (analytic) = 425791.74272756487556369829909822
y[1] (numeric) = 425791.74272756487555289277771742
absolute error = 1.080552138080e-14
relative error = 2.5377479872158340296540694588212e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.675
y[1] (analytic) = 426644.17836451117168358653906051
y[1] (numeric) = 426644.17836451117167275938475574
absolute error = 1.082715430477e-14
relative error = 2.5377480471606540612203932581321e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.676
y[1] (analytic) = 427498.32057873978482849538761371
y[1] (numeric) = 427498.32057873978481764655707583
absolute error = 1.084883053788e-14
relative error = 2.5377481069850852434099162622318e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.677
y[1] (analytic) = 428354.17278682071076931491005966
y[1] (numeric) = 428354.17278682071075844435989283
absolute error = 1.087055016683e-14
relative error = 2.5377481666882123509067980008350e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.678
y[1] (analytic) = 429211.73841216392296617846242559
y[1] (numeric) = 429211.73841216392295528614914706
absolute error = 1.089231327853e-14
relative error = 2.5377482262776134411239184330469e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.679
y[1] (analytic) = 430071.02088503306621292107923734
y[1] (numeric) = 430071.02088503306620200695927735
absolute error = 1.091411995999e-14
relative error = 2.5377482857436170737375942872571e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.68
y[1] (analytic) = 430932.02364255917769623233432914
y[1] (numeric) = 430932.02364255917768529636403068
absolute error = 1.093597029846e-14
relative error = 2.5377483450918812551969161433977e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.681
y[1] (analytic) = 431794.75012875443552438792959582
y[1] (numeric) = 431794.75012875443551343006521448
absolute error = 1.095786438134e-14
relative error = 2.5377484043223166485895530930890e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.682
y[1] (analytic) = 432659.20379452593478055414494535
y[1] (numeric) = 432659.20379452593476957434264915
absolute error = 1.097980229620e-14
relative error = 2.5377484634336855417644636716659e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.683
y[1] (analytic) = 433525.38809768949115576938103762
y[1] (numeric) = 433525.38809768949114476759690682
absolute error = 1.100178413080e-14
relative error = 2.5377485224281458648107797318323e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.684
y[1] (analytic) = 434393.30650298347221681734514029
y[1] (numeric) = 434393.30650298347220579353516723
absolute error = 1.102380997306e-14
relative error = 2.5377485813042303348990742224578e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.685
y[1] (analytic) = 435262.96248208265636431697003638
y[1] (numeric) = 435262.9624820826563532710901253
absolute error = 1.104587991108e-14
relative error = 2.5377486400613967112925840335785e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.686
y[1] (analytic) = 436134.35951361211953646491682168
y[1] (numeric) = 436134.35951361211952539692278854
absolute error = 1.106799403314e-14
relative error = 2.5377486986999378143693082650046e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.687
y[1] (analytic) = 437007.50108316114971397749507779
y[1] (numeric) = 437007.50108316114970288734265007
absolute error = 1.109015242772e-14
relative error = 2.5377487572254689872334993310268e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.688
y[1] (analytic) = 437882.39068329718928189003874091
y[1] (numeric) = 437882.39068329718927077768355748
absolute error = 1.111235518343e-14
relative error = 2.5377488156328080861499291318928e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.689
y[1] (analytic) = 438759.031813579805303983203454
y[1] (numeric) = 438759.03181357980529284860106492
absolute error = 1.113460238908e-14
relative error = 2.5377488739219564126628132796444e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.69
y[1] (analytic) = 439637.42798057468776571730173427
y[1] (numeric) = 439637.4279805746877545604076006
absolute error = 1.115689413367e-14
relative error = 2.5377489320956917375519181073685e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.691
y[1] (analytic) = 440517.5826978676758416676663578
y[1] (numeric) = 440517.58269786767583048843585143
absolute error = 1.117923050637e-14
relative error = 2.5377489901549196516997295751772e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.692
y[1] (analytic) = 441399.49948607881224356613040438
y[1] (numeric) = 441399.49948607881223236451880787
absolute error = 1.120161159651e-14
relative error = 2.5377490480963458386913294561885e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.693
y[1] (analytic) = 442283.18187287642570516603486774
y[1] (numeric) = 442283.18187287642569394199737412
absolute error = 1.122403749362e-14
relative error = 2.5377491059214811767548915797854e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.694
y[1] (analytic) = 443168.63339299124166026072206764
y[1] (numeric) = 443168.63339299124164901421378025
absolute error = 1.124650828739e-14
relative error = 2.5377491636274871582884469730723e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.695
y[1] (analytic) = 444055.85758823052117029824575228
y[1] (numeric) = 444055.85758823052115902922168454
absolute error = 1.126902406774e-14
relative error = 2.5377492212229022642990016983513e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.696
y[1] (analytic) = 444944.85800749222815814802720152
y[1] (numeric) = 444944.8580074922281468564422768
absolute error = 1.129158492472e-14
relative error = 2.5377492787049729281190316758969e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.697
y[1] (analytic) = 445835.63820677922500468841128738
y[1] (numeric) = 445835.63820677922499337422033883
absolute error = 1.131419094855e-14
relative error = 2.5377493360686571202985807995057e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.698
y[1] (analytic) = 446728.2017492134965649975277695
y[1] (numeric) = 446728.20174921349655366068553983
absolute error = 1.133684222967e-14
relative error = 2.5377493933177590094131993255312e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.699
y[1] (analytic) = 447622.5522050504026610435415542
y[1] (numeric) = 447622.55220505040264968400269551
absolute error = 1.135953885869e-14
relative error = 2.5377494504535898658914071678649e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=759.1MB, alloc=4.6MB, time=37.77
TOP MAIN SOLVE Loop
x[1] = 5.7
y[1] (analytic) = 448518.69315169295910788428168161
y[1] (numeric) = 448518.69315169295909650200075522
absolute error = 1.138228092639e-14
relative error = 2.5377495074749120160674210635771e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.701
y[1] (analytic) = 449416.62817370614733050037288073
y[1] (numeric) = 449416.62817370614731909530435699
absolute error = 1.140506852374e-14
relative error = 2.5377495643823336689747251768080e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.702
y[1] (analytic) = 450316.36086283125262850035610443
y[1] (numeric) = 450316.36086283125261707245436254
absolute error = 1.142790174189e-14
relative error = 2.5377496211759890657830399531101e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.703
y[1] (analytic) = 451217.89481800023114605087598254
y[1] (numeric) = 451217.89481800023113460009531036
absolute error = 1.145078067218e-14
relative error = 2.5377496778576786161800638681351e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.704
y[1] (analytic) = 452121.23364535010560449983406974
y[1] (numeric) = 452121.23364535010559302612866363
absolute error = 1.147370540611e-14
relative error = 2.5377497344241360610719036614745e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.705
y[1] (analytic) = 453026.38095823738985527545757525
y[1] (numeric) = 453026.38095823738984377878153986
absolute error = 1.149667603539e-14
relative error = 2.5377497908780351031285650776518e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.706
y[1] (analytic) = 453933.34037725254231075951440325
y[1] (numeric) = 453933.34037725254229923982175135
absolute error = 1.151969265190e-14
relative error = 2.5377498472190375317835798316610e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.707
y[1] (analytic) = 454842.11553023444831094841726813
y[1] (numeric) = 454842.11553023444829940566192042
absolute error = 1.154275534771e-14
relative error = 2.5377499034481395373733435389428e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.708
y[1] (analytic) = 455752.71005228493148383170283891
y[1] (numeric) = 455752.71005228493147226583862385
absolute error = 1.156586421506e-14
relative error = 2.5377499595631892506818927649894e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.709
y[1] (analytic) = 456665.12758578329415753334677512
y[1] (numeric) = 456665.12758578329414594432742871
absolute error = 1.158901934641e-14
relative error = 2.5377500155697862957930637947376e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.71
y[1] (analytic) = 457579.37178040088688237758260664
y[1] (numeric) = 457579.3717804008868707653617723
absolute error = 1.161222083434e-14
relative error = 2.5377500714592695079065725404017e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.711
y[1] (analytic) = 458495.44629311570712115733214694
y[1] (numeric) = 458495.44629311570710952186337525
absolute error = 1.163546877169e-14
relative error = 2.5377501272393130311646361861662e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.712
y[1] (analytic) = 459413.35478822702716600002797812
y[1] (numeric) = 459413.35478822702715434126472668
absolute error = 1.165876325144e-14
relative error = 2.5377501829075624075934006617525e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.713
y[1] (analytic) = 460333.10093737005134034251497514
y[1] (numeric) = 460333.10093737005132866041060837
absolute error = 1.168210436677e-14
relative error = 2.5377502384646876982806346795957e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.714
y[1] (analytic) = 461254.68841953060254464385831171
y[1] (numeric) = 461254.68841953060253293836610066
absolute error = 1.170549221105e-14
relative error = 2.5377502939121045639913533532992e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.715
y[1] (analytic) = 462178.1209210598382045822603811
y[1] (numeric) = 462178.12092105983819285333350329
absolute error = 1.172892687781e-14
relative error = 2.5377503492453949873707010793907e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.716
y[1] (analytic) = 463103.40213568899568059989904094
y[1] (numeric) = 463103.40213568899566884749058011
absolute error = 1.175240846083e-14
relative error = 2.5377504044737188009880456954739e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.717
y[1] (analytic) = 464030.53576454416719777734502163
y[1] (numeric) = 464030.53576454416718600140796763
absolute error = 1.177593705400e-14
relative error = 2.5377504595894269938882897624945e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.718
y[1] (analytic) = 464959.52551616110435513729769633
y[1] (numeric) = 464959.52551616110434333778494489
absolute error = 1.179951275144e-14
relative error = 2.5377505145939571660766925840454e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.719
y[1] (analytic) = 465890.37510650005227359569616649
y[1] (numeric) = 465890.37510650005226177256051903
absolute error = 1.182313564746e-14
relative error = 2.5377505694890765487311604159495e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.72
y[1] (analytic) = 466823.08825896061344189681724636
y[1] (numeric) = 466823.0882589606134300500114098
absolute error = 1.184680583656e-14
relative error = 2.5377506242767978553252786457618e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.721
y[1] (analytic) = 467757.66870439664131998776390536
y[1] (numeric) = 467757.66870439664130811724049197
absolute error = 1.187052341339e-14
relative error = 2.5377506789507445236356381612437e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.722
y[1] (analytic) = 468694.12018113116375940677752441
y[1] (numeric) = 468694.12018113116374751248905156
absolute error = 1.189428847285e-14
relative error = 2.5377507335174895223918937478203e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.723
y[1] (analytic) = 469632.44643497133630037907541723
y[1] (numeric) = 469632.44643497133628846097430724
absolute error = 1.191810110999e-14
relative error = 2.5377507879750521933851895263689e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.724
y[1] (analytic) = 470572.65121922342540543342193789
y[1] (numeric) = 470572.65121922342539349146051783
absolute error = 1.194196142006e-14
relative error = 2.5377508423235279933858974459984e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.725
y[1] (analytic) = 471514.73829470782168947238761839
y[1] (numeric) = 471514.73829470782167750651811989
absolute error = 1.196586949850e-14
relative error = 2.5377508965628662094618390063156e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.726
y[1] (analytic) = 472458.71142977408320634923663502
y[1] (numeric) = 472458.71142977408319435941119407
absolute error = 1.198982544095e-14
relative error = 2.5377509506949072037726807248619e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.727
y[1] (analytic) = 473404.57440031600885212460896876
y[1] (numeric) = 473404.57440031600884011077962552
absolute error = 1.201382934324e-14
relative error = 2.5377510047211703669123227420943e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.728
y[1] (analytic) = 474352.33098978674194529663038426
y[1] (numeric) = 474352.33098978674193325874908291
absolute error = 1.203788130135e-14
relative error = 2.5377510586343439017282476811151e-18 %
Correct digits = 19
h = 0.001
memory used=762.9MB, alloc=4.6MB, time=37.96
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.729
y[1] (analytic) = 475301.98498921390404441879128616
y[1] (numeric) = 475301.98498921390403235680987463
absolute error = 1.206198141153e-14
relative error = 2.5377511124435392943082259006520e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.73
y[1] (analytic) = 476253.54019721475906364088510227
y[1] (numeric) = 476253.54019721475905155475533211
absolute error = 1.208612977016e-14
relative error = 2.5377511661446506312694474380857e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.731
y[1] (analytic) = 477207.00042001140774682948857673
y[1] (numeric) = 477207.0004200114077347191621029
absolute error = 1.211032647383e-14
relative error = 2.5377512197371696929989663636000e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.732
y[1] (analytic) = 478162.36947144601256104590071392
y[1] (numeric) = 478162.36947144601254891132909458
absolute error = 1.213457161934e-14
relative error = 2.5377512732240693775021747072936e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.733
y[1] (analytic) = 479119.65117299605307028113458494
y[1] (numeric) = 479119.65117299605305812226928129
absolute error = 1.215886530365e-14
relative error = 2.5377513266012523389989558119130e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.734
y[1] (analytic) = 480078.8493537896118504694772772
y[1] (numeric) = 480078.84935378961183828626965323
absolute error = 1.218320762397e-14
relative error = 2.5377513798762876227870953013120e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.735
y[1] (analytic) = 481039.9678506206910069242984223
y[1] (numeric) = 481039.96785062069099471669974466
absolute error = 1.220759867764e-14
relative error = 2.5377514330432675304522532367977e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.736
y[1] (analytic) = 482003.01050796455935546219746782
y[1] (numeric) = 482003.01050796455934323015890559
absolute error = 1.223203856223e-14
relative error = 2.5377514861036079102653559355896e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.737
y[1] (analytic) = 482967.98117799313032860423465226
y[1] (numeric) = 482967.98117799313031634770727675
absolute error = 1.225652737551e-14
relative error = 2.5377515390596828396508833829565e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.738
y[1] (analytic) = 483934.88372059037066836589099196
y[1] (numeric) = 483934.88372059037065608482577656
absolute error = 1.228106521540e-14
relative error = 2.5377515919044022286886295600249e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.739
y[1] (analytic) = 484903.722003367739967270548985
y[1] (numeric) = 484903.7220033677399549648968049
absolute error = 1.230565218010e-14
relative error = 2.5377516446480349193098423876866e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.74
y[1] (analytic) = 485874.49990167966111934467867162
y[1] (numeric) = 485874.49990167966110701439030369
absolute error = 1.233028836793e-14
relative error = 2.5377516972850244391751817014932e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.741
y[1] (analytic) = 486847.2212986390217429765536597
y[1] (numeric) = 486847.22129863902173062157978226
absolute error = 1.235497387744e-14
relative error = 2.5377517498166602454699553593232e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.742
y[1] (analytic) = 487821.89008513270663764420921826
y[1] (numeric) = 487821.89008513270662526450041089
absolute error = 1.237970880737e-14
relative error = 2.5377518022427290425620647459027e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.743
y[1] (analytic) = 488798.5101598371613366424900611
y[1] (numeric) = 488798.51015983716132423799680443
absolute error = 1.240449325667e-14
relative error = 2.5377518545655406097482662069275e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.744
y[1] (analytic) = 489777.08542923398681806341947995
y[1] (numeric) = 489777.08542923398680563409215548
absolute error = 1.242932732447e-14
relative error = 2.5377519067836965698305209172085e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.745
y[1] (analytic) = 490757.61980762556543640875454171
y[1] (numeric) = 490757.61980762556542395454343161
absolute error = 1.245421111010e-14
relative error = 2.5377519588961218740837635847618e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.746
y[1] (analytic) = 491740.1172171507181373384746345
y[1] (numeric) = 491740.11721715071812485932992138
absolute error = 1.247914471312e-14
relative error = 2.5377520109080816125010912129100e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.747
y[1] (analytic) = 492724.58158780039301818408323272
y[1] (numeric) = 492724.5815878003930056799549995
absolute error = 1.250412823322e-14
relative error = 2.5377520628107416059624975451745e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.748
y[1] (analytic) = 493711.01685743338529698098585264
y[1] (numeric) = 493711.01685743338528445182408225
absolute error = 1.252916177039e-14
relative error = 2.5377521146156613473670625815350e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.749
y[1] (analytic) = 494699.42697179208875289984128755
y[1] (numeric) = 494699.42697179208874034559586284
absolute error = 1.255424542471e-14
relative error = 2.5377521663120598032842814354549e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.75
y[1] (analytic) = 495689.81588451827870108266885038
y[1] (numeric) = 495689.81588451827868850328955384
absolute error = 1.257937929654e-14
relative error = 2.5377522179052877583303986326552e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.751
y[1] (analytic) = 496682.18755716892656501563201166
y[1] (numeric) = 496682.18755716892655241106852523
absolute error = 1.260456348643e-14
relative error = 2.5377522693984660500243071984325e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.752
y[1] (analytic) = 497676.54595923204610969680901034
y[1] (numeric) = 497676.54595923204609706701091525
absolute error = 1.262979809509e-14
relative error = 2.5377523207863988221756180958531e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.753
y[1] (analytic) = 498672.89506814257139898390423687
y[1] (numeric) = 498672.89506814257138632882101339
absolute error = 1.265508322348e-14
relative error = 2.5377523720736235880497020758021e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.754
y[1] (analytic) = 499671.23886929826654063375094979
y[1] (numeric) = 499671.23886929826652795333197706
absolute error = 1.268041897273e-14
relative error = 2.5377524232582228748422261060584e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.755
y[1] (analytic) = 500671.5813560756672826726066971
y[1] (numeric) = 500671.58135607566726996680125294
absolute error = 1.270580544416e-14
relative error = 2.5377524743358023636309121454158e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.756
y[1] (analytic) = 501673.92652984605452486364817895
y[1] (numeric) = 501673.92652984605451213240543958
absolute error = 1.273124273937e-14
relative error = 2.5377525253173748501732573388385e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=766.7MB, alloc=4.6MB, time=38.14
x[1] = 5.757
y[1] (analytic) = 502678.2783999914598091657327194
y[1] (numeric) = 502678.27839999145979640900175933
absolute error = 1.275673096007e-14
relative error = 2.5377525761953068567111788320676e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.758
y[1] (analytic) = 503684.64098392070285320540952355
y[1] (numeric) = 503684.6409839207028404231393153
absolute error = 1.278227020825e-14
relative error = 2.5377526269771749473977400192511e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.759
y[1] (analytic) = 504693.01830708546119091233599065
y[1] (numeric) = 504693.01830708546117810447540469
absolute error = 1.280786058596e-14
relative error = 2.5377526776419424304337244149465e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.76
y[1] (analytic) = 505703.41440299637198459668305215
y[1] (numeric) = 505703.41440299637197176318085643
absolute error = 1.283350219572e-14
relative error = 2.5377527282212392925091630118657e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.761
y[1] (analytic) = 506715.8333132391660728757993118
y[1] (numeric) = 506715.83331323916606001660417184
absolute error = 1.285919513996e-14
relative error = 2.5377527786882405071889123451133e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.762
y[1] (analytic) = 507730.27908749083431898634720855
y[1] (numeric) = 507730.27908749083430610140768697
absolute error = 1.288493952158e-14
relative error = 2.5377528290684627215022412487145e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.763
y[1] (analytic) = 508746.75578353582632414732600375
y[1] (numeric) = 508746.75578353582631123659056033
absolute error = 1.291073544342e-14
relative error = 2.5377528793349840642890766361658e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.764
y[1] (analytic) = 509765.26746728228157076885664515
y[1] (numeric) = 509765.26746728228155783227363641
absolute error = 1.293658300874e-14
relative error = 2.5377529295030471761013752650990e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.765
y[1] (analytic) = 510785.8182127782930604313229826
y[1] (numeric) = 510785.81821277829304746884066166
absolute error = 1.296248232094e-14
relative error = 2.5377529795747407630590538920563e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.766
y[1] (analytic) = 511808.41210222820351168944293785
y[1] (numeric) = 511808.41210222820349870100945427
absolute error = 1.298843348358e-14
relative error = 2.5377530295429573104270824857968e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.767
y[1] (analytic) = 512833.0532260089341828860825729
y[1] (numeric) = 512833.0532260089341698716459724
absolute error = 1.301443660050e-14
relative error = 2.5377530794148034980540210974932e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.768
y[1] (analytic) = 513859.7456826863463852911260835
y[1] (numeric) = 513859.74568268634637225063430784
absolute error = 1.304049177566e-14
relative error = 2.5377531291802407838195258572556e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.769
y[1] (analytic) = 514888.4935790316357520114760893
y[1] (numeric) = 514888.49357903163573894487697592
absolute error = 1.306659911338e-14
relative error = 2.5377531788587876360067134905292e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.77
y[1] (analytic) = 515919.3010300377593282492817187
y[1] (numeric) = 515919.30103003775931515652300075
absolute error = 1.309275871795e-14
relative error = 2.5377532284235506422546609890726e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.771
y[1] (analytic) = 516952.17215893589554861677742555
y[1] (numeric) = 516952.17215893589553549780673139
absolute error = 1.311897069416e-14
relative error = 2.5377532779041305780505923808282e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.772
y[1] (analytic) = 517987.1110972119371673476637418
y[1] (numeric) = 517987.11109721193715420242859507
absolute error = 1.314523514673e-14
relative error = 2.5377533272759369547375169044843e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.773
y[1] (analytic) = 519024.1219846230172073767728043
y[1] (numeric) = 519024.1219846230171942052206235
absolute error = 1.317155218080e-14
relative error = 2.5377533765550553544469144718214e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.774
y[1] (analytic) = 520063.20896921406799439183700705
y[1] (numeric) = 520063.2089692140679811939151055
absolute error = 1.319792190155e-14
relative error = 2.5377534257246932159189895528901e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.775
y[1] (analytic) = 521104.37620733441334209351906635
y[1] (numeric) = 521104.3762073344133288691746518
absolute error = 1.322434441455e-14
relative error = 2.5377534748025918939796915120611e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.776
y[1] (analytic) = 522147.6278636543939550324666605
y[1] (numeric) = 522147.627863654393941781646835
absolute error = 1.325081982550e-14
relative error = 2.5377535237908071894832193696526e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.777
y[1] (analytic) = 523192.9681111820261155250251604
y[1] (numeric) = 523192.96811118202610224767692019
absolute error = 1.327734824021e-14
relative error = 2.5377535726719618601762610113236e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.778
y[1] (analytic) = 524240.40113127969372128237832535
y[1] (numeric) = 524240.40113127969370797844856053
absolute error = 1.330392976482e-14
relative error = 2.5377536214513243549800255790485e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.779
y[1] (analytic) = 525289.9311136808737405212897363
y[1] (numeric) = 525289.93111368087372719072523057
absolute error = 1.333056450573e-14
relative error = 2.5377536701431765031108297396354e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.78
y[1] (analytic) = 526341.56225650689515145828771015
y[1] (numeric) = 526341.56225650689513810103514075
absolute error = 1.335725256940e-14
relative error = 2.5377537187326443222221205417521e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.781
y[1] (analytic) = 527395.2987662837314332230740178
y[1] (numeric) = 527395.29876628373141983907995516
absolute error = 1.338399406264e-14
relative error = 2.5377537672308951335921668577736e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.782
y[1] (analytic) = 528451.14485795882667536114244845
y[1] (numeric) = 528451.14485795882666195035335614
absolute error = 1.341078909231e-14
relative error = 2.5377538156180275275578480379864e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.783
y[1] (analytic) = 529509.10475491795537323006766675
y[1] (numeric) = 529509.10475491795535979242990103
absolute error = 1.343763776572e-14
relative error = 2.5377538639188421617957173837325e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.784
y[1] (analytic) = 530569.1826890021159767286684262
y[1] (numeric) = 530569.18268900211596326412823596
absolute error = 1.346454019024e-14
relative error = 2.5377539121288092166556128733196e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.785
y[1] (analytic) = 531631.38290052445825993326258145
y[1] (numeric) = 531631.38290052445824644176610806
absolute error = 1.349149647339e-14
relative error = 2.5377539602312086417911849617903e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=770.6MB, alloc=4.6MB, time=38.32
TOP MAIN SOLVE Loop
x[1] = 5.786
y[1] (analytic) = 532695.709638287244579350515014
y[1] (numeric) = 532695.7096382872445658320082909
absolute error = 1.351850672310e-14
relative error = 2.5377540082459796698990704105032e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.787
y[1] (analytic) = 533762.167159598845088631934097
y[1] (numeric) = 533762.16715959884507508636304965
absolute error = 1.354557104735e-14
relative error = 2.5377540561618286886143823639512e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.788
y[1] (analytic) = 534830.7597302907669777308982186
y[1] (numeric) = 534830.75973029076696415820866419
absolute error = 1.357268955441e-14
relative error = 2.5377541039813336708306030399495e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.789
y[1] (analytic) = 535901.49162473471780461919169665
y[1] (numeric) = 535901.4916247347177910193293439
absolute error = 1.359986235275e-14
relative error = 2.5377541517039311170301331211371e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.79
y[1] (analytic) = 536974.36712585970298781639970245
y[1] (numeric) = 536974.36712585970297418931015141
absolute error = 1.362708955104e-14
relative error = 2.5377541993258665365990600819574e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.791
y[1] (analytic) = 538049.39052516915752812215510785
y[1] (numeric) = 538049.3905251691575144677838496
absolute error = 1.365437125825e-14
relative error = 2.5377542468587312034008364805232e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.792
y[1] (analytic) = 539126.56612275811202807814702655
y[1] (numeric) = 539126.56612275811201439643944306
absolute error = 1.368170758349e-14
relative error = 2.5377542942995505698018957786065e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.793
y[1] (analytic) = 540205.8982273303930778239917862
y[1] (numeric) = 540205.89822733039306411489315011
absolute error = 1.370909863609e-14
relative error = 2.5377543416456576858380361454242e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.794
y[1] (analytic) = 541287.3911562158580761485326883
y[1] (numeric) = 541287.3911562158580624119881627
absolute error = 1.373654452560e-14
relative error = 2.5377543888946094451927047399238e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.795
y[1] (analytic) = 542371.049235387664555675875741
y[1] (numeric) = 542371.04923538766454191183037919
absolute error = 1.376404536181e-14
relative error = 2.5377544360477911682983361559698e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.796
y[1] (analytic) = 543456.8767994795740812634851346
y[1] (numeric) = 543456.87679947957406747188387986
absolute error = 1.379160125474e-14
relative error = 2.5377544831084575820540972652796e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.797
y[1] (analytic) = 544544.87819180329079082795512405
y[1] (numeric) = 544544.87819180329077700874280948
absolute error = 1.381921231457e-14
relative error = 2.5377545300687785184042758148349e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.798
y[1] (analytic) = 545635.0577643658346479526447398
y[1] (numeric) = 545635.057764365834634105766088
absolute error = 1.384687865180e-14
relative error = 2.5377545769391923522725781905551e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.799
y[1] (analytic) = 546727.4198778869494757702089214
y[1] (numeric) = 546727.41987788694946189560854428
absolute error = 1.387460037712e-14
relative error = 2.5377546237243651664387916852449e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.8
y[1] (analytic) = 547821.96890181654584175218481505
y[1] (numeric) = 547821.96890181654582784980721374
absolute error = 1.390237760131e-14
relative error = 2.5377546704049130956750295612372e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.801
y[1] (analytic) = 548918.70921435217886317719565095
y[1] (numeric) = 548918.70921435217884924698521537
absolute error = 1.393021043558e-14
relative error = 2.5377547169995015545933072158940e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.802
y[1] (analytic) = 550017.64520245656100318901737595
y[1] (numeric) = 550017.64520245656098923091838473
absolute error = 1.395809899122e-14
relative error = 2.5377547635007507766631318397103e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.803
y[1] (analytic) = 551118.78126187510992749571562535
y[1] (numeric) = 551118.78126187510991350967224559
absolute error = 1.398604337976e-14
relative error = 2.5377548099044463160605701221839e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.804
y[1] (analytic) = 552222.12179715353149190130322685
y[1] (numeric) = 552222.12179715353147788725951384
absolute error = 1.401404371301e-14
relative error = 2.5377548562166703827247785720351e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.805
y[1] (analytic) = 553327.6712216554379310018918074
y[1] (numeric) = 553327.67122165543791695979170443
absolute error = 1.404210010297e-14
relative error = 2.5377549024373531208033539927056e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.806
y[1] (analytic) = 554435.43395758000131851911577855
y[1] (numeric) = 554435.43395758000130444890311669
absolute error = 1.407021266186e-14
relative error = 2.5377549485656639354909575517825e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.807
y[1] (analytic) = 555545.41443597964236988469357195
y[1] (numeric) = 555545.41443597964235578631206981
absolute error = 1.409838150214e-14
relative error = 2.5377549946035383617267348814466e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.808
y[1] (analytic) = 556657.6170967777546578313600482
y[1] (numeric) = 556657.61709677775464370475331175
absolute error = 1.412660673645e-14
relative error = 2.5377550405447910457757759136165e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.809
y[1] (analytic) = 557772.0463887864643118870560753
y[1] (numeric) = 557772.04638878646429773216759759
absolute error = 1.415488847771e-14
relative error = 2.5377550863930444672584770668922e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.81
y[1] (analytic) = 558888.7067697244252728111969328
y[1] (numeric) = 558888.7067697244252586279700937
absolute error = 1.418322683910e-14
relative error = 2.5377551321579718760975965640255e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.811
y[1] (analytic) = 560007.6027062346501731540610137
y[1] (numeric) = 560007.60270623465015894243907981
absolute error = 1.421162193389e-14
relative error = 2.5377551778247991707866004672564e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.812
y[1] (analytic) = 561128.73867390237691526284483675
y[1] (numeric) = 561128.73867390237690102277096102
absolute error = 1.424007387573e-14
relative error = 2.5377552234061494867109657510007e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.813
y[1] (analytic) = 562252.1191572729710182007202145
y[1] (numeric) = 562252.11915727297100393213743615
absolute error = 1.426858277835e-14
relative error = 2.5377552688883324406730054781666e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.814
y[1] (analytic) = 563377.7486498698638051883051242
y[1] (numeric) = 563377.74864986986379089115636832
absolute error = 1.429714875588e-14
relative error = 2.5377553142883259555586010976600e-18 %
Correct digits = 19
h = 0.001
memory used=774.4MB, alloc=4.6MB, time=38.51
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.815
y[1] (analytic) = 564505.6316542125265033203219639
y[1] (numeric) = 564505.63165421252648899455004142
absolute error = 1.432577192248e-14
relative error = 2.5377553595878455542929622191400e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.816
y[1] (analytic) = 565635.77268183448032745386602715
y[1] (numeric) = 565635.77268183448031309941363438
absolute error = 1.435445239277e-14
relative error = 2.5377554048096358063496639188018e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.817
y[1] (analytic) = 566768.17625330134262030864376125
y[1] (numeric) = 566768.1762533013426059254534799
absolute error = 1.438319028135e-14
relative error = 2.5377554499322896656253783332026e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.818
y[1] (analytic) = 567902.8468982289091209637652733
y[1] (numeric) = 567902.84689822890910655177957007
absolute error = 1.441198570323e-14
relative error = 2.5377554949663250149316322145785e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.819
y[1] (analytic) = 569039.78915530127243408018917925
y[1] (numeric) = 569039.78915530127241963935040569
absolute error = 1.444083877356e-14
relative error = 2.5377555399063374380766010549611e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.82
y[1] (analytic) = 570179.007572288976772322720845
y[1] (numeric) = 570179.00757228897675785297123716
absolute error = 1.446974960784e-14
relative error = 2.5377555847679086036482681122088e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.821
y[1] (analytic) = 571320.5067060672090446005579127
y[1] (numeric) = 571320.50670606720903010183959113
absolute error = 1.449871832157e-14
relative error = 2.5377556295260544445140490522792e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.822
y[1] (analytic) = 572464.2911226340263628907603307
y[1] (numeric) = 572464.29112263402634836301529993
absolute error = 1.452774503077e-14
relative error = 2.5377556742063843485161568729040e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.823
y[1] (analytic) = 573610.3653971286200405546964825
y[1] (numeric) = 573610.36539712862002599786663104
absolute error = 1.455682985146e-14
relative error = 2.5377557187938620554657647870783e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.824
y[1] (analytic) = 574758.73411384961615520348303435
y[1] (numeric) = 574758.73411384961614061751013435
absolute error = 1.458597290000e-14
relative error = 2.5377557632922851424707848062275e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.825
y[1] (analytic) = 575909.40186627341274931469436265
y[1] (numeric) = 575909.4018662734127346995200697
absolute error = 1.461517429295e-14
relative error = 2.5377558076997072943068365945045e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.826
y[1] (analytic) = 577062.3732570725537419491684783
y[1] (numeric) = 577062.37325707255372730473433118
absolute error = 1.464443414712e-14
relative error = 2.5377558520170793085973626257042e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.827
y[1] (analytic) = 578217.65289813413962506358081355
y[1] (numeric) = 578217.65289813413961038982823398
absolute error = 1.467375257957e-14
relative error = 2.5377558962481394316629150115464e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.828
y[1] (analytic) = 579375.24541057827501806159566915
y[1] (numeric) = 579375.24541057827500335846596162
absolute error = 1.470312970753e-14
relative error = 2.5377559403854966975326741984059e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.829
y[1] (analytic) = 580535.15542477655315437383812355
y[1] (numeric) = 580535.15542477655313964127247498
absolute error = 1.473256564857e-14
relative error = 2.5377559844399444856749728004407e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.83
y[1] (analytic) = 581697.38758037057737400465736935
y[1] (numeric) = 581697.38758037057735924259684894
absolute error = 1.476206052041e-14
relative error = 2.5377560284075353231022125246227e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.831
y[1] (analytic) = 582861.9465262905196961316763601
y[1] (numeric) = 582861.94652629051968134006191907
absolute error = 1.479161444103e-14
relative error = 2.5377560722885193089158393373204e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.832
y[1] (analytic) = 584028.8369207737165459924429099
y[1] (numeric) = 584028.83692077371653117121538127
absolute error = 1.482122752863e-14
relative error = 2.5377561160803725611064730730475e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.833
y[1] (analytic) = 585198.063431383301710441114587
y[1] (numeric) = 585198.06343138330169559021468535
absolute error = 1.485089990165e-14
relative error = 2.5377561597811617651536770131586e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.834
y[1] (analytic) = 586369.63073502687659670702447195
y[1] (numeric) = 586369.63073502687658182639279315
absolute error = 1.488063167880e-14
relative error = 2.5377562033945738019463403485633e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.835
y[1] (analytic) = 587543.54351797521786903618770825
y[1] (numeric) = 587543.5435179752178541257647292
absolute error = 1.491042297905e-14
relative error = 2.5377562469280768780381640268359e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.836
y[1] (analytic) = 588719.80647588102253804632035495
y[1] (numeric) = 588719.80647588102252310604643345
absolute error = 1.494027392150e-14
relative error = 2.5377562903707199916865419294026e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.837
y[1] (analytic) = 589898.42431379769057777575295515
y[1] (numeric) = 589898.42431379769056280556832959
absolute error = 1.497018462556e-14
relative error = 2.5377563337237495708725002628381e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.838
y[1] (analytic) = 591079.40174619814514555673205905
y[1] (numeric) = 591079.40174619814513055657684813
absolute error = 1.500015521092e-14
relative error = 2.5377563769953317974868408822427e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.839
y[1] (analytic) = 592262.74349699369047999401428845
y[1] (numeric) = 592262.74349699369046496382849107
absolute error = 1.503018579738e-14
relative error = 2.5377564201716991527855887991974e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.84
y[1] (analytic) = 593448.45429955290755248037000155
y[1] (numeric) = 593448.45429955290753742009349636
absolute error = 1.506027650519e-14
relative error = 2.5377564632745806643655018991414e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.841
y[1] (analytic) = 594636.53889672058754783162781305
y[1] (numeric) = 594636.53889672058753274120035845
absolute error = 1.509042745460e-14
relative error = 2.5377565062850905650717028782873e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.842
y[1] (analytic) = 595827.0020408367032497752077559
y[1] (numeric) = 595827.00204083670323465456898968
absolute error = 1.512063876622e-14
relative error = 2.5377565492044725909886900312361e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=778.2MB, alloc=4.6MB, time=38.70
x[1] = 5.843
y[1] (analytic) = 597019.8484937554184071777103328
y[1] (numeric) = 597019.84849375541839202679977186
absolute error = 1.515091056094e-14
relative error = 2.5377565920404189511661085501179e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.844
y[1] (analytic) = 598215.0830268641351570490517141
y[1] (numeric) = 598215.08302686413514186780875423
absolute error = 1.518124295987e-14
relative error = 2.5377566347968952209904714760033e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.845
y[1] (analytic) = 599412.71042110257958051286249515
y[1] (numeric) = 599412.7104211025795653012264109
absolute error = 1.521163608425e-14
relative error = 2.5377566774590817681765692077184e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.846
y[1] (analytic) = 600612.7354669819254680853993425
y[1] (numeric) = 600612.73546698192545284330928672
absolute error = 1.524209005578e-14
relative error = 2.5377567200484243486815407547058e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.847
y[1] (analytic) = 601815.16296460395637075805614185
y[1] (numeric) = 601815.16296460395635548545114572
absolute error = 1.527260499613e-14
relative error = 2.5377567625407712585123032651469e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.848
y[1] (analytic) = 603019.99772368026601353170452885
y[1] (numeric) = 603019.99772368026599822852350141
absolute error = 1.530318102744e-14
relative error = 2.5377568049496631872332045612113e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.849
y[1] (analytic) = 604227.244563551497148204543539
y[1] (numeric) = 604227.24456355149713287072526695
absolute error = 1.533381827205e-14
relative error = 2.5377568472811916592701287817305e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.85
y[1] (analytic) = 605436.90831320661892236889518085
y[1] (numeric) = 605436.90831320661890700437832842
absolute error = 1.536451685243e-14
relative error = 2.5377568895224302132993384990746e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.851
y[1] (analytic) = 606648.99381130224284172644762285
y[1] (numeric) = 606648.99381130224282633117073142
absolute error = 1.539527689143e-14
relative error = 2.5377569316827533405938485667405e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.852
y[1] (analytic) = 607863.5059061819774029858210088
y[1] (numeric) = 607863.50590618197738755972249674
absolute error = 1.542609851206e-14
relative error = 2.5377569737573410783270422951085e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.853
y[1] (analytic) = 609080.449455895821474761013299
y[1] (numeric) = 609080.4494558958214593040314614
absolute error = 1.545698183760e-14
relative error = 2.5377570157452996502330000035252e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.854
y[1] (analytic) = 610299.8293282195965040442755884
y[1] (numeric) = 610299.8293282195964885563485968
absolute error = 1.548792699160e-14
relative error = 2.5377570576495416362192308869754e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.855
y[1] (analytic) = 611521.6504006744176259822687029
y[1] (numeric) = 611521.65040067441761046333460504
absolute error = 1.551893409786e-14
relative error = 2.5377570994733966525834283098090e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.856
y[1] (analytic) = 612745.9175605462037548399661399
y[1] (numeric) = 612745.91756054620373928996285951
absolute error = 1.555000328039e-14
relative error = 2.5377571412139982785732017206603e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.857
y[1] (analytic) = 613972.6357049052267341926932223
y[1] (numeric) = 613972.63570490522671861155855886
absolute error = 1.558113466344e-14
relative error = 2.5377571828671512332381143519933e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.858
y[1] (analytic) = 615201.8097406256996245429292996
y[1] (numeric) = 615201.80974062569960893060092802
absolute error = 1.561232837158e-14
relative error = 2.5377572244402678279050516013802e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.859
y[1] (analytic) = 616433.4445844054042067150495807
y[1] (numeric) = 616433.44458440540419107146505119
absolute error = 1.564358452951e-14
relative error = 2.5377572659213489059667340848152e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.86
y[1] (analytic) = 617667.5451627853577795380463482
y[1] (numeric) = 617667.54516278535776386314308581
absolute error = 1.567490326239e-14
relative error = 2.5377573073325234674071115007077e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.861
y[1] (analytic) = 618904.1164121695193304834465061
y[1] (numeric) = 618904.11641216951931477716181073
absolute error = 1.570628469537e-14
relative error = 2.5377573486536867262133507115030e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.862
y[1] (analytic) = 620143.1632788445351580831342893
y[1] (numeric) = 620143.16327884453514234540533525
absolute error = 1.573772895405e-14
relative error = 2.5377573898970167639664456323351e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.863
y[1] (analytic) = 621384.69071899952402510959513185
y[1] (numeric) = 621384.6907189995240093403589677
absolute error = 1.576923616415e-14
relative error = 2.5377574310534648270484004186921e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.864
y[1] (analytic) = 622628.7036987459019216592197966
y[1] (numeric) = 622628.70369874590190585841334484
absolute error = 1.580080645176e-14
relative error = 2.5377574721330384382808803672783e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.865
y[1] (analytic) = 623875.20719413724651743774753135
y[1] (numeric) = 623875.20719413724650160530758828
absolute error = 1.583243994307e-14
relative error = 2.5377575131212526996183382640109e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.866
y[1] (analytic) = 625124.20619118920138270568388035
y[1] (numeric) = 625124.20619118920136684154711563
absolute error = 1.586413676472e-14
relative error = 2.5377575540352826457996184919782e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.867
y[1] (analytic) = 626375.70568589942005750060347045
y[1] (numeric) = 626375.705685899420041604706427
absolute error = 1.589589704345e-14
relative error = 2.5377575948676897317301507457090e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.868
y[1] (analytic) = 627629.7106842675500489126412545
y[1] (numeric) = 627629.71068426755003298492034821
absolute error = 1.592772090629e-14
relative error = 2.5377576356168588642155432977602e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.869
y[1] (analytic) = 628886.2262023152568363491879585
y[1] (numeric) = 628886.22620231525682038957947796
absolute error = 1.595960848054e-14
relative error = 2.5377576762836794964789874126653e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.87
y[1] (analytic) = 630145.25726610628796488483749015
y[1] (numeric) = 630145.25726610628794889327759643
absolute error = 1.599155989372e-14
relative error = 2.5377577168635051937099820222425e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.871
y[1] (analytic) = 631406.808911766577306952986461
y[1] (numeric) = 631406.80891176657729092941118725
absolute error = 1.602357527375e-14
relative error = 2.5377577573746358710854435745303e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=782.0MB, alloc=4.6MB, time=38.88
TOP MAIN SOLVE Loop
x[1] = 5.872
y[1] (analytic) = 632670.88618550438957279615939345
y[1] (numeric) = 632670.88618550438955674050464489
absolute error = 1.605565474856e-14
relative error = 2.5377577977963645206145647314227e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.873
y[1] (analytic) = 633937.49414363050515025312827465
y[1] (numeric) = 633937.49414363050513416532982811
absolute error = 1.608779844654e-14
relative error = 2.5377578381402702768025559714287e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.874
y[1] (analytic) = 635206.63785257844535462221251745
y[1] (numeric) = 635206.63785257844533850220602119
absolute error = 1.612000649626e-14
relative error = 2.5377578784057357595625900447848e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.875
y[1] (analytic) = 636478.32238892473816950178574945
y[1] (numeric) = 636478.32238892473815334950672294
absolute error = 1.615227902651e-14
relative error = 2.5377579185862722375268175129192e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.876
y[1] (analytic) = 637752.55283940922455967097981315
y[1] (numeric) = 637752.55283940922454348636364671
absolute error = 1.618461616644e-14
relative error = 2.5377579586914495949750064767713e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.877
y[1] (analytic) = 639029.3343009554054372358645745
y[1] (numeric) = 639029.33430095540542101884652915
absolute error = 1.621701804535e-14
relative error = 2.5377579987137930237729933831109e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.878
y[1] (analytic) = 640308.6718806908293624289952547
y[1] (numeric) = 640308.67188069082934617951046186
absolute error = 1.624948479284e-14
relative error = 2.5377580386522983197554359745208e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.879
y[1] (analytic) = 641590.5706959675210606131576664
y[1] (numeric) = 641590.57069596752104433114112759
absolute error = 1.628201653881e-14
relative error = 2.5377580785122867392615494637069e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.88
y[1] (analytic) = 642875.0358743824508372034066075
y[1] (numeric) = 642875.03587438245082088879319412
absolute error = 1.631461341338e-14
relative error = 2.5377581182928169498682075221542e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.881
y[1] (analytic) = 644162.0725537980449723850843934
y[1] (numeric) = 644162.07255379804495603780884645
absolute error = 1.634727554695e-14
relative error = 2.5377581579959810075392091348257e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.882
y[1] (analytic) = 645451.6858823627371776694257468
y[1] (numeric) = 645451.68588236273716128942267663
absolute error = 1.638000307017e-14
relative error = 2.5377581976221453825022625308161e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.883
y[1] (analytic) = 646743.88101853156119649260266945
y[1] (numeric) = 646743.8810185315611800798065555
absolute error = 1.641279611395e-14
relative error = 2.5377582371714335213415871363678e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.884
y[1] (analytic) = 648038.66313108678463122863914885
y[1] (numeric) = 648038.66313108678461478298433947
absolute error = 1.644565480938e-14
relative error = 2.5377582766313025174319182493160e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.885
y[1] (analytic) = 649336.0373991585840791515312636
y[1] (numeric) = 649336.0373991585840626729519756
absolute error = 1.647857928800e-14
relative error = 2.5377583160181697783132516582121e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.886
y[1] (analytic) = 650636.009012245761660047144102
y[1] (numeric) = 650636.0090122457616435355744205
absolute error = 1.651156968150e-14
relative error = 2.5377583553309346824513429952429e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.887
y[1] (analytic) = 651938.58317023650301834102356425
y[1] (numeric) = 651938.58317023650300179639744249
absolute error = 1.654462612176e-14
relative error = 2.5377583945572076770384084555727e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.888
y[1] (analytic) = 653243.76508342917688277415923685
y[1] (numeric) = 653243.76508342917686619641049575
absolute error = 1.657774874110e-14
relative error = 2.5377584337116128505996868574436e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.889
y[1] (analytic) = 654551.5599725531762668249647741
y[1] (numeric) = 654551.55997255317625021402710217
absolute error = 1.661093767193e-14
relative error = 2.5377584727819660371442978412430e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.89
y[1] (analytic) = 655861.97306878980139324230526425
y[1] (numeric) = 655861.97306878980137659811221719
absolute error = 1.664419304706e-14
relative error = 2.5377585117767272901349759546210e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.891
y[1] (analytic) = 657175.009613793184426221297555
y[1] (numeric) = 657175.0096137931844095437825555
absolute error = 1.667751499950e-14
relative error = 2.5377585506942810387126043137461e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.892
y[1] (analytic) = 658490.67485971125609492084014215
y[1] (numeric) = 658490.67485971125607820993647962
absolute error = 1.671090366253e-14
relative error = 2.5377585895335859765364059940072e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.893
y[1] (analytic) = 659808.9740692067542921893946465
y[1] (numeric) = 659808.97406920675427544503547682
absolute error = 1.674435916968e-14
relative error = 2.5377586282910574086235104649580e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.894
y[1] (analytic) = 661129.9125154782747325334417939
y[1] (numeric) = 661129.91251547827471575556013907
absolute error = 1.677788165483e-14
relative error = 2.5377586669756375213890859012635e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.895
y[1] (analytic) = 662453.49548228136375353127183945
y[1] (numeric) = 662453.49548228136373671980058739
absolute error = 1.681147125206e-14
relative error = 2.5377587055859464830698998296600e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.896
y[1] (analytic) = 663779.7282639496533450633432151
y[1] (numeric) = 663779.72826394965332821821511945
absolute error = 1.684512809565e-14
relative error = 2.5377587441103044039011113673991e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.897
y[1] (analytic) = 665108.6161654160384908993545023
y[1] (numeric) = 665108.61616541603847402050218195
absolute error = 1.687885232035e-14
relative error = 2.5377587825673483615527566968420e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.898
y[1] (analytic) = 666440.16450223389690735142431345
y[1] (numeric) = 666440.16450223389689043878025248
absolute error = 1.691264406097e-14
relative error = 2.5377588209441282982851930359958e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.899
y[1] (analytic) = 667774.3786005983512638723619893
y[1] (numeric) = 667774.3786005983512469258585366
absolute error = 1.694650345270e-14
relative error = 2.5377588592442614101504371683195e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.9
y[1] (analytic) = 669111.2637973675739706479398538
y[1] (numeric) = 669111.26379736757395366750922287
memory used=785.8MB, alloc=4.6MB, time=39.07
absolute error = 1.698043063093e-14
relative error = 2.5377588974607850004301415501150e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.901
y[1] (analytic) = 670450.8254400841346184023458027
y[1] (numeric) = 670450.82544008413460138792007123
absolute error = 1.701442573147e-14
relative error = 2.5377589356089949698434595963451e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.902
y[1] (analytic) = 671793.06888699639015580660391015
y[1] (numeric) = 671793.0688869963901387581150199
absolute error = 1.704848889025e-14
relative error = 2.5377589736814863223015826281975e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.903
y[1] (analytic) = 673137.99950707991789005070120815
y[1] (numeric) = 673137.99950707991787296808096466
absolute error = 1.708262024349e-14
relative error = 2.5377590116735533878779562541713e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.904
y[1] (analytic) = 674485.6226800589913963114515041
y[1] (numeric) = 674485.62268005899137919463157633
absolute error = 1.711681992777e-14
relative error = 2.5377590495934606302498902357358e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.905
y[1] (analytic) = 675835.94379642809942201976274235
y[1] (numeric) = 675835.94379642809940486867466254
absolute error = 1.715108807981e-14
relative error = 2.5377590874296801838007904339341e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.906
y[1] (analytic) = 677188.96825747350787200295367145
y[1] (numeric) = 677188.96825747350785481752883466
absolute error = 1.718542483679e-14
relative error = 2.5377591251982626153783087045683e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.907
y[1] (analytic) = 678544.7014752948649607500891345
y[1] (numeric) = 678544.70147529486494353025879852
absolute error = 1.721983033598e-14
relative error = 2.5377591628879526116471203188458e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.908
y[1] (analytic) = 679903.14887282684961822097185215
y[1] (numeric) = 679903.1488728268496009666671371
absolute error = 1.725430471505e-14
relative error = 2.5377592005059750538656347400796e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.909
y[1] (analytic) = 681264.3158838608632357924427976
y[1] (numeric) = 681264.31588386086321850359468572
absolute error = 1.728884811188e-14
relative error = 2.5377592380498807267963617524789e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.91
y[1] (analytic) = 682628.20795306676483910900287185
y[1] (numeric) = 682628.20795306676482178554220728
absolute error = 1.732346066457e-14
relative error = 2.5377592755090268008075012331917e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.911
y[1] (analytic) = 683994.8305360146497747784762619
y[1] (numeric) = 683994.83053601464975742033375021
absolute error = 1.735814251169e-14
relative error = 2.5377593129011279671260372354392e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.912
y[1] (analytic) = 685364.18909919667199802749130205
y[1] (numeric) = 685364.18909919667198063459751013
absolute error = 1.739289379192e-14
relative error = 2.5377593502193659524956040268890e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.913
y[1] (analytic) = 686736.2891200489100486059585577
y[1] (numeric) = 686736.28912004891003117824391347
absolute error = 1.742771464423e-14
relative error = 2.5377593874587640315742182665493e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.914
y[1] (analytic) = 688111.13608697327680240447890355
y[1] (numeric) = 688111.13608697327678494187369556
absolute error = 1.746260520799e-14
relative error = 2.5377594246320738909006174117924e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.915
y[1] (analytic) = 689488.7354993594730864237172786
y[1] (numeric) = 689488.73549935947306892615165595
absolute error = 1.749756562265e-14
relative error = 2.5377594617231067196099485952178e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.916
y[1] (analytic) = 690869.09286760698524491023126795
y[1] (numeric) = 690869.09286760698522737763523983
absolute error = 1.753259602812e-14
relative error = 2.5377594987419442003636012038370e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.917
y[1] (analytic) = 692252.2137131471267446490483835
y[1] (numeric) = 692252.213713147126727081351819
absolute error = 1.756769656450e-14
relative error = 2.5377595356855927866235435802625e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.918
y[1] (analytic) = 693638.10356846512390757944260375
y[1] (numeric) = 693638.10356846512388997657523155
absolute error = 1.760286737220e-14
relative error = 2.5377595725553332097439385683442e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.919
y[1] (analytic) = 695026.76797712224585907687008285
y[1] (numeric) = 695026.76797712224584143876149091
absolute error = 1.763810859194e-14
relative error = 2.5377596093565970978712367432301e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.92
y[1] (analytic) = 696418.2124937779787804208866633
y[1] (numeric) = 696418.2124937779787627474662987
absolute error = 1.767342036460e-14
relative error = 2.5377596460773058751218178081834e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.921
y[1] (analytic) = 697812.4426842122445541460866302
y[1] (numeric) = 697812.44268421224453643728379872
absolute error = 1.770880283148e-14
relative error = 2.5377596827252239669059338400427e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.922
y[1] (analytic) = 699209.46412534766389115067373475
y[1] (numeric) = 699209.46412534766387340641760061
absolute error = 1.774425613414e-14
relative error = 2.5377597193047972641115186544721e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.923
y[1] (analytic) = 700609.2824052718640286152026061
y[1] (numeric) = 700609.28240527186401083542219173
absolute error = 1.777978041437e-14
relative error = 2.5377597558128231782474925958390e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.924
y[1] (analytic) = 702011.90312325983108796231197005
y[1] (numeric) = 702011.90312325983107014693615583
absolute error = 1.781537581422e-14
relative error = 2.5377597922427195036696408614128e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.925
y[1] (analytic) = 703417.3318897963071822669113166
y[1] (numeric) = 703417.3318897963071644158688405
absolute error = 1.785104247610e-14
relative error = 2.5377598285986938186448801181500e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.926
y[1] (analytic) = 704825.57432659823236270528051975
y[1] (numeric) = 704825.57432659823234481849997704
absolute error = 1.788678054271e-14
relative error = 2.5377598648856236223450903599584e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.927
y[1] (analytic) = 706236.6360666372314938108981287
y[1] (numeric) = 706236.63606663723147588830797176
absolute error = 1.792259015694e-14
relative error = 2.5377599010948091143703207095450e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.928
y[1] (analytic) = 707650.52275416214614748452933655
y[1] (numeric) = 707650.52275416214612952605787443
absolute error = 1.795847146212e-14
relative error = 2.5377599372393560098645156175405e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=789.6MB, alloc=4.6MB, time=39.25
x[1] = 5.929
y[1] (analytic) = 709067.2400447216116058861797086
y[1] (numeric) = 709067.24004472161158789175510689
absolute error = 1.799442460171e-14
relative error = 2.5377599733101578407777787667215e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.93
y[1] (analytic) = 710486.79360518667906351695634165
y[1] (numeric) = 710486.79360518667904548650662217
absolute error = 1.803044971948e-14
relative error = 2.5377600093013712750473367577316e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.931
y[1] (analytic) = 711909.1891137734831189796749443
y[1] (numeric) = 711909.18911377348310091312798467
absolute error = 1.806654695963e-14
relative error = 2.5377600452271591627599102539322e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.932
y[1] (analytic) = 713334.4322600659546470882101035
y[1] (numeric) = 713334.43226006595462898549363699
absolute error = 1.810271646651e-14
relative error = 2.5377600810821578311925599614302e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.933
y[1] (analytic) = 714762.5287450385791421771074595
y[1] (numeric) = 714762.52874503857912403814907472
absolute error = 1.813895838478e-14
relative error = 2.5377601168639758467136348060378e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.934
y[1] (analytic) = 716193.4842810792006236448613716
y[1] (numeric) = 716193.48428107920060546958851217
absolute error = 1.817527285943e-14
relative error = 2.5377601525758762766674845624646e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.935
y[1] (analytic) = 717627.3045920118711949465106529
y[1] (numeric) = 717627.30459201187117673485061721
absolute error = 1.821166003569e-14
relative error = 2.5377601882140981669383807364818e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.936
y[1] (analytic) = 719063.9954131197463474338188109
y[1] (numeric) = 719063.99541311974632918569875179
absolute error = 1.824812005911e-14
relative error = 2.5377602237789713557578758585932e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.937
y[1] (analytic) = 720503.56249116802610062428468155
y[1] (numeric) = 720503.56249116802608233963160596
absolute error = 1.828465307559e-14
relative error = 2.5377602592789587107320162782638e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.938
y[1] (analytic) = 721946.01158442694207066357512065
y[1] (numeric) = 721946.01158442694205234231588949
absolute error = 1.832125923116e-14
relative error = 2.5377602947000208735277862465054e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.939
y[1] (analytic) = 723391.34846269479055892968425275
y[1] (numeric) = 723391.34846269479054057174558042
absolute error = 1.835793867233e-14
relative error = 2.5377603300541431352546920058229e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.94
y[1] (analytic) = 724839.57890732101175291120440365
y[1] (numeric) = 724839.57890732101173451651285783
absolute error = 1.839469154582e-14
relative error = 2.5377603653417455879205451161303e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.941
y[1] (analytic) = 726290.70871122931513167654300285
y[1] (numeric) = 726290.70871122931511324502500427
absolute error = 1.843151799858e-14
relative error = 2.5377604005544711007721640606422e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.942
y[1] (analytic) = 727744.74367894085116843573816645
y[1] (numeric) = 727744.74367894085114996731998851
absolute error = 1.846841817794e-14
relative error = 2.5377604356958038097804722060116e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.943
y[1] (analytic) = 729201.68962659742942288171410315
y[1] (numeric) = 729201.68962659742940437632187163
absolute error = 1.850539223152e-14
relative error = 2.5377604707685280917189951074740e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.944
y[1] (analytic) = 730661.55238198478311618337666595
y[1] (numeric) = 730661.55238198478309764093635872
absolute error = 1.854244030723e-14
relative error = 2.5377605057746546154666869963901e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.945
y[1] (analytic) = 732124.3377845558802816888800414
y[1] (numeric) = 732124.33778455588026310931748821
absolute error = 1.857956255319e-14
relative error = 2.5377605407044200540536176440178e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.946
y[1] (analytic) = 733590.0516854542815845836984713
y[1] (numeric) = 733590.05168545428156596693935333
absolute error = 1.861675911797e-14
relative error = 2.5377605755690396458766100422133e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.947
y[1] (analytic) = 735058.69994753754490393481278205
y[1] (numeric) = 735058.69994753754488528078263174
absolute error = 1.865403015031e-14
relative error = 2.5377606103623250116836879255624e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.948
y[1] (analytic) = 736530.28844540067677073937110555
y[1] (numeric) = 736530.28844540067675204799530626
absolute error = 1.869137579929e-14
relative error = 2.5377606450838579651153484431333e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.949
y[1] (analytic) = 738004.8230653996307557836072542
y[1] (numeric) = 738004.82306539963073705481103986
absolute error = 1.872879621434e-14
relative error = 2.5377606797402073192121185152720e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.95
y[1] (analytic) = 739482.30970567485290130559951695
y[1] (numeric) = 739482.30970567485288253930797185
absolute error = 1.876629154510e-14
relative error = 2.5377607143258461389634086622297e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.951
y[1] (analytic) = 740962.75427617487429064362792165
y[1] (numeric) = 740962.75427617487427183976598011
absolute error = 1.880386194154e-14
relative error = 2.5377607488393866612754907134578e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.952
y[1] (analytic) = 742446.16269867995085024044001365
y[1] (numeric) = 742446.16269867995083139893245966
absolute error = 1.884150755399e-14
relative error = 2.5377607832874990613299479554360e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.953
y[1] (analytic) = 743932.5409068257504785626646873
y[1] (numeric) = 743932.5409068257504596834361543
absolute error = 1.887922853300e-14
relative error = 2.5377608176659312979978010129836e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.954
y[1] (analytic) = 745421.89484612708759668392133135
y[1] (numeric) = 745421.89484612708757776689630187
absolute error = 1.891702502948e-14
relative error = 2.5377608519783184706119003646320e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.955
y[1] (analytic) = 746914.23047400170521546985826615
y[1] (numeric) = 746914.23047400170519651496107161
absolute error = 1.895489719454e-14
relative error = 2.5377608862146019262548481806176e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.956
y[1] (analytic) = 748409.55375979410461449342092295
y[1] (numeric) = 748409.55375979410459550057574317
absolute error = 1.899284517978e-14
relative error = 2.5377609203898339520082975106949e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.957
y[1] (analytic) = 749907.87068479942272799909719825
y[1] (numeric) = 749907.87068479942270896822806134
absolute error = 1.903086913691e-14
relative error = 2.5377609544931736259034309298017e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=793.4MB, alloc=4.6MB, time=39.44
TOP MAIN SOLVE Loop
x[1] = 5.958
y[1] (analytic) = 751409.18724228735733342571567795
y[1] (numeric) = 751409.1872422873573143567464599
absolute error = 1.906896921805e-14
relative error = 2.5377609885279890736093587753949e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.959
y[1] (analytic) = 752913.50943752614013818858272175
y[1] (numeric) = 752913.50943752614011908143714613
absolute error = 1.910714557562e-14
relative error = 2.5377610224970252396331140691957e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.96
y[1] (analytic) = 754420.8432878065578606133375009
y[1] (numeric) = 754420.84328780655784146793913857
absolute error = 1.914539836233e-14
relative error = 2.5377610564010036579603266784730e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.961
y[1] (analytic) = 755931.19482246602140110588075275
y[1] (numeric) = 755931.1948224660213819221530216
absolute error = 1.918372773115e-14
relative error = 2.5377610902345931405606491295167e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.962
y[1] (analytic) = 757444.5700829126831998350940242
y[1] (numeric) = 757444.57008291268318061296018881
absolute error = 1.922213383539e-14
relative error = 2.5377611239969512434278634484928e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.963
y[1] (analytic) = 758960.9751226496028773978122912
y[1] (numeric) = 758960.97512264960285813719546245
absolute error = 1.926061682875e-14
relative error = 2.5377611576981867899210918798724e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.964
y[1] (analytic) = 760480.41600729896125512864483485
y[1] (numeric) = 760480.4160072989612358294679698
absolute error = 1.929917686505e-14
relative error = 2.5377611913236658278255510672990e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.965
y[1] (analytic) = 762002.89881462632285191075789965
y[1] (numeric) = 762002.89881462632283257294380102
absolute error = 1.933781409863e-14
relative error = 2.5377612248866708445174579567604e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.966
y[1] (analytic) = 763528.4296345649469545376387257
y[1] (numeric) = 763528.42963456494693516111004166
absolute error = 1.937652868404e-14
relative error = 2.5377612583874406878019377764859e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.967
y[1] (analytic) = 765057.0145692401473588701548177
y[1] (numeric) = 765057.01456924014733945483404167
absolute error = 1.941532077603e-14
relative error = 2.5377612918119124495567990089432e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.968
y[1] (analytic) = 766588.6597329937008792279055586
y[1] (numeric) = 766588.65973299370085977371502872
absolute error = 1.945419052988e-14
relative error = 2.5377613251748313880442191869946e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.969
y[1] (analytic) = 768123.37125240830472364893627705
y[1] (numeric) = 768123.37125240830470415579817603
absolute error = 1.949313810102e-14
relative error = 2.5377613584699116747945236671539e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.97
y[1] (analytic) = 769661.1552663320828328473484186
y[1] (numeric) = 769661.15526633208281331518477334
absolute error = 1.953216364526e-14
relative error = 2.5377613916998483869382676770612e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.971
y[1] (analytic) = 771202.01792590314128089419432525
y[1] (numeric) = 771202.01792590314126132292700656
absolute error = 1.957126731869e-14
relative error = 2.5377614248631804666269477091806e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.972
y[1] (analytic) = 772745.96539457417283584329208805
y[1] (numeric) = 772745.96539457417281623284281031
absolute error = 1.961044927774e-14
relative error = 2.5377614579620158506682773771773e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.973
y[1] (analytic) = 774293.0038481371107787202357817
y[1] (numeric) = 774293.00384813711075907052610258
absolute error = 1.964970967912e-14
relative error = 2.5377614909941660691756383295183e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.974
y[1] (analytic) = 775843.13947474783207948990990925
y[1] (numeric) = 775843.13947474783205980086122942
absolute error = 1.968904867983e-14
relative error = 2.5377615239543972021487547452588e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.975
y[1] (analytic) = 777396.3784749509100288152448645
y[1] (numeric) = 777396.3784749509100090867784272
absolute error = 1.972846643730e-14
relative error = 2.5377615568523884210029277536752e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.976
y[1] (analytic) = 778952.72706170441642461777345025
y[1] (numeric) = 778952.72706170441640484981034107
absolute error = 1.976796310918e-14
relative error = 2.5377615896855431409044200715506e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.977
y[1] (analytic) = 780512.19146040477341264876776475
y[1] (numeric) = 780512.19146040477339284122891131
absolute error = 1.980753885344e-14
relative error = 2.5377616224518425686444448019725e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.978
y[1] (analytic) = 782074.77790891165508047835187645
y[1] (numeric) = 782074.77790891165506063115804804
absolute error = 1.984719382841e-14
relative error = 2.5377616551548738335201538755122e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.979
y[1] (analytic) = 783640.49265757293890450899944545
y[1] (numeric) = 783640.49265757293888462207125277
absolute error = 1.988692819268e-14
relative error = 2.5377616877909323102207046569440e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.98
y[1] (analytic) = 785209.34196924970714981923761465
y[1] (numeric) = 785209.34196924970712989249550946
absolute error = 1.992674210519e-14
relative error = 2.5377617203604754311303942164948e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.981
y[1] (analytic) = 786781.33211934129832284318988025
y[1] (numeric) = 786781.33211934129830287655415502
absolute error = 1.996663572523e-14
relative error = 2.5377617528680004542592254891885e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.982
y[1] (analytic) = 788356.4693958104087770918020618
y[1] (numeric) = 788356.46939581040875708519284945
absolute error = 2.000660921235e-14
relative error = 2.5377617853105071309782908458002e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.983
y[1] (analytic) = 789934.7600992082445723222077257
y[1] (numeric) = 789934.76009920824455227554499928
absolute error = 2.004666272642e-14
relative error = 2.5377618176850871898899561132423e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.984
y[1] (analytic) = 791516.2105426997236877627032753
y[1] (numeric) = 791516.21054269972366767590684762
absolute error = 2.008679642768e-14
relative error = 2.5377618499951597267000777087781e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.985
y[1] (analytic) = 793100.82705208872869020221921035
y[1] (numeric) = 793100.82705208872867007520873367
absolute error = 2.012701047668e-14
relative error = 2.5377618822427620666640911897441e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.986
memory used=797.3MB, alloc=4.6MB, time=39.62
y[1] (analytic) = 794688.61596584340995795499358405
y[1] (numeric) = 794688.61596584340993778768854977
absolute error = 2.016730503428e-14
relative error = 2.5377619144284826314102490950210e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.987
y[1] (analytic) = 796279.58363512153956191337725395
y[1] (numeric) = 796279.58363512153954170569699235
absolute error = 2.020768026160e-14
relative error = 2.5377619465451153297605374276943e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.988
y[1] (analytic) = 797873.7364237959159051043289434
y[1] (numeric) = 797873.73642379591588485619262322
absolute error = 2.024813632018e-14
relative error = 2.5377619785977098987138909456637e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.989
y[1] (analytic) = 799471.0807084798192223681922118
y[1] (numeric) = 799471.08070847981920207951883993
absolute error = 2.028867337187e-14
relative error = 2.5377620105896098574423474759838e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.99
y[1] (analytic) = 801071.62287855251804198178698985
y[1] (numeric) = 801071.62287855251802165249541111
absolute error = 2.032929157874e-14
relative error = 2.5377620425111535998967932186047e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.991
y[1] (analytic) = 802675.369336184826711251696181
y[1] (numeric) = 802675.36933618482669088170507764
absolute error = 2.036999110336e-14
relative error = 2.5377620743746067244676922428570e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.992
y[1] (analytic) = 804282.32649636471408830788377815
y[1] (numeric) = 804282.32649636471406789711166965
absolute error = 2.041077210850e-14
relative error = 2.5377621061765622308894658635487e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.993
y[1] (analytic) = 805892.50078692296350253244581585
y[1] (numeric) = 805892.5007869229634820808110586
absolute error = 2.045163475725e-14
relative error = 2.5377621379129061230487359835777e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.994
y[1] (analytic) = 807505.89864855888408626337008585
y[1] (numeric) = 807505.89864855888406577079087282
absolute error = 2.049257921303e-14
relative error = 2.5377621695799821875986744637335e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.995
y[1] (analytic) = 809122.52653486607358061866571305
y[1] (numeric) = 809122.52653486607356008506007335
absolute error = 2.053360563970e-14
relative error = 2.5377622011881017582363192976992e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.996
y[1] (analytic) = 810742.39091235823271849212023825
y[1] (numeric) = 810742.3909123582326979174060369
absolute error = 2.057471420135e-14
relative error = 2.5377622327354213393008552270738e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.997
y[1] (analytic) = 812365.49826049503128797825061065
y[1] (numeric) = 812365.49826049503126736234554828
absolute error = 2.061590506237e-14
relative error = 2.5377622642165996315878082145484e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.998
y[1] (analytic) = 813991.8550717080259796907362776
y[1] (numeric) = 813991.85507170802595903355789006
absolute error = 2.065717838754e-14
relative error = 2.5377622956338083694638581693060e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 5.999
y[1] (analytic) = 815621.46785142663012164575820245
y[1] (numeric) = 815621.46785142663010094722386044
absolute error = 2.069853434201e-14
relative error = 2.5377623269941245598403633898102e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6
y[1] (analytic) = 817254.34311810413540558921797
y[1] (numeric) = 817254.34311810413538484924487891
absolute error = 2.073997309109e-14
relative error = 2.5377623582837047961824705900174e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.001
y[1] (analytic) = 818890.48740324378570885477698495
y[1] (numeric) = 818890.4874032437856880732821843
absolute error = 2.078149480065e-14
relative error = 2.5377623895167597505888629093028e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.002
y[1] (analytic) = 820529.90725142490311604803795915
y[1] (numeric) = 820529.90725142490309522493832241
absolute error = 2.082309963674e-14
relative error = 2.5377624206888821290053846481052e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.003
y[1] (analytic) = 822172.6092203290662450609902604
y[1] (numeric) = 822172.60922032906622419620249469
absolute error = 2.086478776571e-14
relative error = 2.5377624517917467725380618069416e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.004
y[1] (analytic) = 823818.59988076634098213005808455
y[1] (numeric) = 823818.59988076634096122349873013
absolute error = 2.090655935442e-14
relative error = 2.5377624828385602201104902335285e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.005
y[1] (analytic) = 825467.8858167015637308607266569
y[1] (numeric) = 825467.885816701563709912312087
absolute error = 2.094841456990e-14
relative error = 2.5377625138225763762857252936806e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.006
y[1] (analytic) = 827120.47362528067728035177760665
y[1] (numeric) = 827120.4736252806772593614240271
absolute error = 2.099035357955e-14
relative error = 2.5377625447413947849981361038687e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.007
y[1] (analytic) = 828776.3699168571193977626411253
y[1] (numeric) = 828776.36991685711937673026457412
absolute error = 2.103237655118e-14
relative error = 2.5377625756016630768805286183327e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.008
y[1] (analytic) = 830435.58131501826425087827036305
y[1] (numeric) = 830435.58131501826422980378671022
absolute error = 2.107448365283e-14
relative error = 2.5377626063972305019189196562047e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.009
y[1] (analytic) = 832098.11445661191676643726357855
y[1] (numeric) = 832098.11445661191674532058852559
absolute error = 2.111667505296e-14
relative error = 2.5377626371320285650363772375245e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.01
y[1] (analytic) = 833763.97599177286003020070267965
y[1] (numeric) = 833763.97599177286000904175175929
absolute error = 2.115895092036e-14
relative error = 2.5377626678090953268508649319785e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.011
y[1] (analytic) = 835433.17258394945583495134382735
y[1] (numeric) = 835433.1725839494558137500324033
absolute error = 2.120131142405e-14
relative error = 2.5377626984185335331887678575872e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.012
y[1] (analytic) = 837105.7109099302984828253875674
y[1] (numeric) = 837105.71090993029846158163083383
absolute error = 2.124375673357e-14
relative error = 2.5377627289722020920723795367185e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.013
y[1] (analytic) = 838781.5976598709219485920733542
y[1] (numeric) = 838781.59765987092192730578633556
absolute error = 2.128628701864e-14
relative error = 2.5377627594628833377068286691939e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.014
y[1] (analytic) = 840460.83953732056051070978719595
y[1] (numeric) = 840460.83953732056048938088474656
absolute error = 2.132890244939e-14
relative error = 2.5377627898917582705981828765232e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=801.1MB, alloc=4.6MB, time=39.81
x[1] = 6.015
y[1] (analytic) = 842143.44325924896295720124232555
y[1] (numeric) = 842143.44325924896293582963912928
absolute error = 2.137160319627e-14
relative error = 2.5377628202575551260533729960239e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.016
y[1] (analytic) = 843829.41555607326047360459215075
y[1] (numeric) = 843829.4155560732604521902027206
absolute error = 2.141438943015e-14
relative error = 2.5377628505683437657546840667522e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.017
y[1] (analytic) = 845518.7631716848883204720631113
y[1] (numeric) = 845518.7631716848882990148017892
absolute error = 2.145726132210e-14
relative error = 2.5377628808153420756475614024412e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.018
y[1] (analytic) = 847211.49286347656140810285333405
y[1] (numeric) = 847211.49286347656138660263429038
absolute error = 2.150021904367e-14
relative error = 2.5377629110060527931737217262617e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.019
y[1] (analytic) = 848907.611402369303876412631984
y[1] (numeric) = 848907.61140236930385486936921741
absolute error = 2.154326276659e-14
relative error = 2.5377629411286808358874463668444e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.02
y[1] (analytic) = 850607.1255728395327880579948299
y[1] (numeric) = 850607.12557283953276647160216674
absolute error = 2.158639266316e-14
relative error = 2.5377629711980945906749248273110e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.021
y[1] (analytic) = 852310.04217294619604315068463245
y[1] (numeric) = 852310.04217294619602152107572664
absolute error = 2.162960890581e-14
relative error = 2.5377630012038548086034913564692e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.022
y[1] (analytic) = 854016.3680143579646241132713973
y[1] (numeric) = 854016.36801435796460244035972987
absolute error = 2.167291166743e-14
relative error = 2.5377630311490269799774842308232e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.023
y[1] (analytic) = 855726.10992238047927944530817085
y[1] (numeric) = 855726.10992238047925772900704959
absolute error = 2.171630112126e-14
relative error = 2.5377630610371114567253631817294e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.024
y[1] (analytic) = 857439.2747359836517553867337728
y[1] (numeric) = 857439.27473598365173362695633196
absolute error = 2.175977744084e-14
relative error = 2.5377630908661268682384971124918e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.025
y[1] (analytic) = 859155.86930782902068468348552075
y[1] (numeric) = 859155.86930782902066288014472069
absolute error = 2.180334080006e-14
relative error = 2.5377631206344036088350404552097e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.026
y[1] (analytic) = 860875.90050429716224187891348375
y[1] (numeric) = 860875.90050429716222003192211057
absolute error = 2.184699137318e-14
relative error = 2.5377631503428232162616046418392e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.027
y[1] (analytic) = 862599.3752055151556747736539779
y[1] (numeric) = 862599.37520551515565288292464311
absolute error = 2.189072933479e-14
relative error = 2.5377631799900750044000798205037e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.028
y[1] (analytic) = 864326.3003053841038219161247644
y[1] (numeric) = 864326.30030538410379998156990455
absolute error = 2.193455485985e-14
relative error = 2.5377632095772250092714170892742e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.029
y[1] (analytic) = 866056.68271160670872620574860595
y[1] (numeric) = 866056.68271160670870422728048225
absolute error = 2.197846812370e-14
relative error = 2.5377632391087661556676908234764e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.03
y[1] (analytic) = 867790.52934571490245491139636175
y[1] (numeric) = 867790.52934571490243288892705977
absolute error = 2.202246930198e-14
relative error = 2.5377632685832843644091819017460e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.031
y[1] (analytic) = 869527.8471430975332366283665363
y[1] (numeric) = 869527.84714309753321456180796565
absolute error = 2.206655857065e-14
relative error = 2.5377632979957366818159642591113e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.032
y[1] (analytic) = 871268.64305302810702591848602455
y[1] (numeric) = 871268.64305302810700380774991848
absolute error = 2.211073610607e-14
relative error = 2.5377633273465888002479323471785e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.033
y[1] (analytic) = 873012.92403869258460659962760265
y[1] (numeric) = 873012.92403869258458444462551763
absolute error = 2.215500208502e-14
relative error = 2.5377633566439703435725138386427e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.034
y[1] (analytic) = 874760.6970772172343448730943848
y[1] (numeric) = 874760.69707721723432267373770031
absolute error = 2.219935668449e-14
relative error = 2.5377633858795109194540129159715e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.035
y[1] (analytic) = 876511.9691596965407036999208936
y[1] (numeric) = 876511.96915969654068145612081166
absolute error = 2.224380008194e-14
relative error = 2.5377634150580868582421100005495e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.036
y[1] (analytic) = 878266.7472912211686300601854595
y[1] (numeric) = 878266.74729122116860777185300437
absolute error = 2.228833245513e-14
relative error = 2.5377634441782521046305342078490e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.037
y[1] (analytic) = 880025.03849090598392695292027315
y[1] (numeric) = 880025.03849090598390461996629094
absolute error = 2.233295398221e-14
relative error = 2.5377634732424473645419562672706e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.038
y[1] (analytic) = 881786.8497919181297222181444503
y[1] (numeric) = 881786.8497919181296998404796087
absolute error = 2.237766484160e-14
relative error = 2.5377635022432718018753328494884e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.039
y[1] (analytic) = 883552.18824150515914648693283335
y[1] (numeric) = 883552.18824150515912406446762111
absolute error = 2.242246521224e-14
relative error = 2.5377635311917953334561543891028e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.04
y[1] (analytic) = 885321.06090102322433279026983895
y[1] (numeric) = 885321.06090102322431032291456569
absolute error = 2.246735527326e-14
relative error = 2.5377635600800189871259140433100e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.041
y[1] (analytic) = 887093.47484596532185058272437375
y[1] (numeric) = 887093.47484596532182807038916952
absolute error = 2.251233520423e-14
relative error = 2.5377635889091660804256659537319e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.042
y[1] (analytic) = 888869.43716598959468716271957255
y[1] (numeric) = 888869.43716598959466460531438746
absolute error = 2.255740518509e-14
relative error = 2.5377636176816344352373066570857e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.043
y[1] (analytic) = 890648.9549649476908896973607763
y[1] (numeric) = 890648.95496494769086709479538022
absolute error = 2.260256539608e-14
relative error = 2.5377636463930443569456136106660e-18 %
Correct digits = 19
h = 0.001
memory used=804.9MB, alloc=4.6MB, time=39.99
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.044
y[1] (analytic) = 892432.035360913178981286427661
y[1] (numeric) = 892432.03536091317895863861164307
absolute error = 2.264781601793e-14
relative error = 2.5377636750535155817587871779769e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.045
y[1] (analytic) = 894218.68548621002026472723265995
y[1] (numeric) = 894218.68548621002024203407542843
absolute error = 2.269315723152e-14
relative error = 2.5377637036494197817187485548126e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.046
y[1] (analytic) = 896008.9124874410981278695987032
y[1] (numeric) = 896008.91248744109810513100948483
absolute error = 2.273858921837e-14
relative error = 2.5377637321982235591739483999988e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.047
y[1] (analytic) = 897802.72352551680446467821573125
y[1] (numeric) = 897802.72352551680444189410357122
absolute error = 2.278411216003e-14
relative error = 2.5377637606801538938984718619416e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.048
y[1] (analytic) = 899600.12577568368332634809835005
y[1] (numeric) = 899600.12577568368330351837211131
absolute error = 2.282972623874e-14
relative error = 2.5377637891118545994527145476972e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.049
y[1] (analytic) = 901401.12642755313191704778727815
y[1] (numeric) = 901401.12642755313189417235564129
absolute error = 2.287543163686e-14
relative error = 2.5377638174827076173072199228711e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.05
y[1] (analytic) = 903205.73268513015904909431582905
y[1] (numeric) = 903205.73268513015902617308729175
absolute error = 2.292122853730e-14
relative error = 2.5377638458026320992128085913237e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.051
y[1] (analytic) = 905013.9517668422011725938004714
y[1] (numeric) = 905013.95176684220114962668334827
absolute error = 2.296711712313e-14
relative error = 2.5377638740587056041532039096459e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.052
y[1] (analytic) = 906825.79090556799609481181245245
y[1] (numeric) = 906825.79090556799607179871487445
absolute error = 2.301309757800e-14
relative error = 2.5377639022616264899867801913886e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.053
y[1] (analytic) = 908641.2573486665145047684464629
y[1] (numeric) = 908641.25734866651448170927637709
absolute error = 2.305917008581e-14
relative error = 2.5377639304090796922160275990249e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.054
y[1] (analytic) = 910460.3583580059494187842233001
y[1] (numeric) = 910460.35835800594939567888846925
absolute error = 2.310533483085e-14
relative error = 2.5377639585011623368625778781118e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.055
y[1] (analytic) = 912283.1012099927636629346473651
y[1] (numeric) = 912283.10120999276363978305536737
absolute error = 2.315159199773e-14
relative error = 2.5377639865326058768502296622311e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.056
y[1] (analytic) = 914109.49319560079550860338754215
y[1] (numeric) = 914109.4931956007954854054457706
absolute error = 2.319794177155e-14
relative error = 2.5377640145113462244161091623418e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.057
y[1] (analytic) = 915939.5416204004225775566624804
y[1] (numeric) = 915939.5416204004225543122781427
absolute error = 2.324438433770e-14
relative error = 2.5377640424364757451499541813141e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.058
y[1] (analytic) = 917773.2538045877841331944894611
y[1] (numeric) = 917773.25380458778410990356957919
absolute error = 2.329091988191e-14
relative error = 2.5377640703036984561387199877945e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.059
y[1] (analytic) = 919610.6370830140618748680008181
y[1] (numeric) = 919610.63708301406185153045222779
absolute error = 2.333754859031e-14
relative error = 2.5377640981118076107415967341824e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.06
y[1] (analytic) = 921451.698805214819352386044222
y[1] (numeric) = 921451.69880521481932900177357251
absolute error = 2.338427064949e-14
relative error = 2.5377641258690856716282900612125e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.061
y[1] (analytic) = 923296.4463354394001180687639733
y[1] (numeric) = 923296.44633543940009463767772704
absolute error = 2.343108624626e-14
relative error = 2.5377641535671349423631396912658e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.062
y[1] (analytic) = 925144.8870526803847339408107172
y[1] (numeric) = 925144.88705268038471046281514926
absolute error = 2.347799556794e-14
relative error = 2.5377641812123095120880468626622e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.063
y[1] (analytic) = 926997.0283507031067518922476279
y[1] (numeric) = 926997.02835070310672836724882575
absolute error = 2.352499880215e-14
relative error = 2.5377642088028336243696009685869e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.064
y[1] (analytic) = 928852.8776380752277848711130614
y[1] (numeric) = 928852.87763807522776129901692455
absolute error = 2.357209613685e-14
relative error = 2.5377642363331082268235817497455e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.065
y[1] (analytic) = 930712.4423381963717874079638804
y[1] (numeric) = 930712.44233819637176378867611987
absolute error = 2.361928776053e-14
relative error = 2.5377642638140829039506218951057e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.066
y[1] (analytic) = 932575.7298893278186640095610612
y[1] (numeric) = 932575.72988932781864034298719932
absolute error = 2.366657386188e-14
relative error = 2.5377642912376241121220810538173e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.067
y[1] (analytic) = 934442.7477446222573241961707499
y[1] (numeric) = 934442.74774462225730048221611984
absolute error = 2.371395463006e-14
relative error = 2.5377643186055188082305892390877e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.068
y[1] (analytic) = 936313.50337215359830319474058695
y[1] (numeric) = 936313.50337215359827943331033232
absolute error = 2.376143025463e-14
relative error = 2.5377643459218187383330321652885e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.069
y[1] (analytic) = 938188.0042549468460675384738232
y[1] (numeric) = 938188.00425494684604372947289776
absolute error = 2.380900092544e-14
relative error = 2.5377643731810122110609903055369e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.07
y[1] (analytic) = 940066.2578910080311250620634558
y[1] (numeric) = 940066.25789100803110120539662301
absolute error = 2.385666683279e-14
relative error = 2.5377644003850587503361851956854e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.071
y[1] (analytic) = 941948.27179335420205902106627395
y[1] (numeric) = 941948.27179335420203511663810656
absolute error = 2.390442816739e-14
relative error = 2.5377644275389873586551105816729e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=808.7MB, alloc=4.6MB, time=40.18
x[1] = 6.072
y[1] (analytic) = 943834.05349004347760630359328135
y[1] (numeric) = 943834.05349004347758235130816115
absolute error = 2.395228512020e-14
relative error = 2.5377644546338328410636102414311e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.073
y[1] (analytic) = 945723.6105242051588999426694123
y[1] (numeric) = 945723.61052420515887594243152956
absolute error = 2.400023788274e-14
relative error = 2.5377644816794737382421707984065e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.074
y[1] (analytic) = 947616.95045406990199637827273925
y[1] (numeric) = 947616.95045406990197232998609251
absolute error = 2.404828664674e-14
relative error = 2.5377645086674288785774605545150e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.075
y[1] (analytic) = 949514.08085299995080815920245145
y[1] (numeric) = 949514.08085299995078406277084703
absolute error = 2.409643160442e-14
relative error = 2.5377645356004483640412436668604e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.076
y[1] (analytic) = 951415.00930951943056301654672165
y[1] (numeric) = 951415.00930951943053887187377325
absolute error = 2.414467294840e-14
relative error = 2.5377645624828613122260529122145e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.077
y[1] (analytic) = 953319.74342734470191048262714635
y[1] (numeric) = 953319.74342734470188628961627477
absolute error = 2.419301087158e-14
relative error = 2.5377645893078915791039488687432e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.078
y[1] (analytic) = 955228.290825414775797471886708
y[1] (numeric) = 955228.2908254147757732304411406
absolute error = 2.424144556740e-14
relative error = 2.5377646160849063509075089338692e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.079
y[1] (analytic) = 957140.65913792178923448326413485
y[1] (numeric) = 957140.65913792178921019328690534
absolute error = 2.428997722951e-14
relative error = 2.5377646428046966499292419290994e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.08
y[1] (analytic) = 959056.85601434154207432716010355
y[1] (numeric) = 959056.85601434154204998855405146
absolute error = 2.433860605209e-14
relative error = 2.5377646694729478491085545815285e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.081
y[1] (analytic) = 960976.8891194640949255241509069
y[1] (numeric) = 960976.88911946409490113681867729
absolute error = 2.438733222961e-14
relative error = 2.5377646960850358571404242467933e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.082
y[1] (analytic) = 962900.7661334244283227671439798
y[1] (numeric) = 962900.76613342442829833098802276
absolute error = 2.443615595704e-14
relative error = 2.5377647226478581829926842169397e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.083
y[1] (analytic) = 964828.49475173316327708369801005
y[1] (numeric) = 964828.49475173316325259862058043
absolute error = 2.448507742962e-14
relative error = 2.5377647491557997845200825990659e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.084
y[1] (analytic) = 966760.08268530734332858074924485
y[1] (numeric) = 966760.08268530734330404665240185
absolute error = 2.453409684300e-14
relative error = 2.5377647756052583516135583790597e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.085
y[1] (analytic) = 968695.5376605012782248999960142
y[1] (numeric) = 968695.53766050127820031678162081
absolute error = 2.458321439339e-14
relative error = 2.5377648020100283629553007877590e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.086
y[1] (analytic) = 970634.8674191374493487586964172
y[1] (numeric) = 970634.86741913744932412626614008
absolute error = 2.463243027712e-14
relative error = 2.5377648283557154791514356305808e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.087
y[1] (analytic) = 972578.0797185374770181976305431
y[1] (numeric) = 972578.07971853747699351588585193
absolute error = 2.468174469117e-14
relative error = 2.5377648546544311370101855202437e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.088
y[1] (analytic) = 974525.1823315531497834054695068
y[1] (numeric) = 974525.18233155314975867431167407
absolute error = 2.473115783273e-14
relative error = 2.5377648808992973362982108432004e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.089
y[1] (analytic) = 976476.1830465975158442367799704
y[1] (numeric) = 976476.18304659751581945611007094
absolute error = 2.478066989946e-14
relative error = 2.5377649070911814134158667894884e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.09
y[1] (analytic) = 978431.08966767603671278937567685
y[1] (numeric) = 978431.08966767603668795909458748
absolute error = 2.483028108937e-14
relative error = 2.5377649332262736055342013622755e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.091
y[1] (analytic) = 980389.91001441780324565570784415
y[1] (numeric) = 980389.91001441780322077571624314
absolute error = 2.487999160101e-14
relative error = 2.5377649593154329833248392213298e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.092
y[1] (analytic) = 982352.6519221068141707124650461
y[1] (numeric) = 982352.65192210681414578266341296
absolute error = 2.492980163314e-14
relative error = 2.5377649853503674356599134314521e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.093
y[1] (analytic) = 984319.32324171331723356253144395
y[1] (numeric) = 984319.32324171331720858282005892
absolute error = 2.497971138503e-14
relative error = 2.5377650113342216698016969279001e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.094
y[1] (analytic) = 986289.9318399252130889939309238
y[1] (numeric) = 986289.93183992521306396420986753
absolute error = 2.502972105627e-14
relative error = 2.5377650372621183743057157918031e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.095
y[1] (analytic) = 988264.48559917952206307136484825
y[1] (numeric) = 988264.4855991795220379915340013
absolute error = 2.507983084695e-14
relative error = 2.5377650631393711799324564929914e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.096
y[1] (analytic) = 990242.9924176939139117274337435
y[1] (numeric) = 990242.99241769391388659739278599
absolute error = 2.513004095751e-14
relative error = 2.5377650889661544480803392264876e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.097
y[1] (analytic) = 992225.46020949830070197261932695
y[1] (numeric) = 992225.46020949830067679226773814
absolute error = 2.518035158881e-14
relative error = 2.5377651147445284470731830759541e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.098
y[1] (analytic) = 994211.8969044664929420955938387
y[1] (numeric) = 994211.89690446649291686483089668
absolute error = 2.523076294202e-14
relative error = 2.5377651404672756636286099947140e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.099
y[1] (analytic) = 996202.31044834791908747841968695
y[1] (numeric) = 996202.31044834791906219714446808
absolute error = 2.528127521887e-14
relative error = 2.5377651661430079083304810461930e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.1
y[1] (analytic) = 998196.7088027994085489047049597
y[1] (numeric) = 998196.70880279940852357281633841
absolute error = 2.533188862129e-14
relative error = 2.5377651917598626312231682371495e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=812.5MB, alloc=4.6MB, time=40.36
TOP MAIN SOLVE Loop
x[1] = 6.101
y[1] (analytic) = 1000195.0999454170383304927904143
y[1] (numeric) = 1000195.0999454170383051101870624
absolute error = 2.53826033519e-14
relative error = 2.5377652173346167578545266015453e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.102
y[1] (analytic) = 1002197.4918697680434246405621379
y[1] (numeric) = 1002197.4918697680433992071425245
absolute error = 2.54334196134e-14
relative error = 2.5377652428514540055399450711642e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.103
y[1] (analytic) = 1004203.892585422791091623512207
y[1] (numeric) = 1004203.8925854227910661391745979
absolute error = 2.54843376091e-14
relative error = 2.5377652683149871455463920778004e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.104
y[1] (analytic) = 1006214.3101179868191517432083698
y[1] (numeric) = 1006214.310117986819126207850827
absolute error = 2.55353575428e-14
relative error = 2.5377652937380478570595547049161e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.105
y[1] (analytic) = 1008228.7525091329384181793840625
y[1] (numeric) = 1008228.7525091329383925929044441
absolute error = 2.55864796184e-14
relative error = 2.5377653191028419372724072267771e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.106
y[1] (analytic) = 1010247.227816633399398955422973
y[1] (numeric) = 1010247.2278166333993733177189325
absolute error = 2.56377040405e-14
relative error = 2.5377653444205653433671565937938e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.107
y[1] (analytic) = 1012269.7441143921233966840889002
y[1] (numeric) = 1012269.7441143921233709950578864
absolute error = 2.56890310138e-14
relative error = 2.5377653696717617499794365253289e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.108
y[1] (analytic) = 1014296.3094924769981350179428696
y[1] (numeric) = 1014296.3094924769981092774821257
absolute error = 2.57404607439e-14
relative error = 2.5377653948854199333933492349226e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.109
y[1] (analytic) = 1016326.9320571522380409869963647
y[1] (numeric) = 1016326.9320571522380151950029283
absolute error = 2.57919934364e-14
relative error = 2.5377654200498555976681776046553e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.11
y[1] (analytic) = 1018361.6199309108093126647731744
y[1] (numeric) = 1018361.619930910809286821143877
absolute error = 2.58436292974e-14
relative error = 2.5377654451621342139352589303127e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.111
y[1] (analytic) = 1020400.3812525069199018630937527
y[1] (numeric) = 1020400.3812525069198759677252192
absolute error = 2.58953685335e-14
relative error = 2.5377654702279032740575279128980e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.112
y[1] (analytic) = 1022443.22417698857454181555619
y[1] (numeric) = 1022443.2241769885745158683448384
absolute error = 2.59472113516e-14
relative error = 2.5377654952416648833654680503053e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.113
y[1] (analytic) = 1024490.1568757301949500698679371
y[1] (numeric) = 1024490.156875730194924070709978
absolute error = 2.59991579591e-14
relative error = 2.5377655202063279817909220826528e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.114
y[1] (analytic) = 1026541.1875364653053370698833443
y[1] (numeric) = 1026541.1875364653053110186747805
absolute error = 2.60512085638e-14
relative error = 2.5377655451233023268471467753888e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.115
y[1] (analytic) = 1028596.3243633192833511694249245
y[1] (numeric) = 1028596.3243633192833250660615506
absolute error = 2.61033633739e-14
relative error = 2.5377655699924325529643613752830e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.116
y[1] (analytic) = 1030655.5755768421765910817120641
y[1] (numeric) = 1030655.5755768421765649260894662
absolute error = 2.61556225979e-14
relative error = 2.5377655948022303868257058633939e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.117
y[1] (analytic) = 1032718.949414041584817030490734
y[1] (numeric) = 1032718.949414041584790822504289
absolute error = 2.62079864450e-14
relative error = 2.5377656195686397742079458073714e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.118
y[1] (analytic) = 1034786.4541284156079921317526487
y[1] (numeric) = 1034786.4541284156079658712975241
absolute error = 2.62604551246e-14
relative error = 2.5377656442863633406699221183541e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.119
y[1] (analytic) = 1036858.0979899858602857982533308
y[1] (numeric) = 1036858.0979899858602594852244842
absolute error = 2.63130288466e-14
relative error = 2.5377656689579267190821027244594e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.12
y[1] (analytic) = 1038933.8892853305501712228867175
y[1] (numeric) = 1038933.8892853305501448571788963
absolute error = 2.63657078212e-14
relative error = 2.5377656935742693041046798558568e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.121
y[1] (analytic) = 1041013.8363176176267492613503506
y[1] (numeric) = 1041013.8363176176267228428580915
absolute error = 2.64184922591e-14
relative error = 2.5377657181339911368484893186056e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.122
y[1] (analytic) = 1043097.9474066379924312994408739
y[1] (numeric) = 1043097.9474066379924048280585023
absolute error = 2.64713823716e-14
relative error = 2.5377657426527827622565023785525e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.123
y[1] (analytic) = 1045186.2308888387821139557555917
y[1] (numeric) = 1045186.2308888387820874313772215
absolute error = 2.65243783702e-14
relative error = 2.5377657671249030579538083931634e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.124
y[1] (analytic) = 1047278.6951173567089787365432722
y[1] (numeric) = 1047278.6951173567089521590628054
absolute error = 2.65774804668e-14
relative error = 2.5377657915424090227919365019136e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.125
y[1] (analytic) = 1049375.348462051477050025947275
y[1] (numeric) = 1049375.3484620514770233952584011
absolute error = 2.66306888739e-14
relative error = 2.5377658159141561579258672494739e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.126
y[1] (analytic) = 1051476.199309539260645061917514
y[1] (numeric) = 1051476.1993095392606183779137097
absolute error = 2.66840038043e-14
relative error = 2.5377658402370188487002917522648e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.127
y[1] (analytic) = 1053581.2560632262508498156357998
y[1] (numeric) = 1053581.2560632262508230782103285
absolute error = 2.67374254713e-14
relative error = 2.5377658645149117752072849592429e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.128
y[1] (analytic) = 1055690.527143342269154960402806
y[1] (numeric) = 1055690.5271433422691281694487175
absolute error = 2.67909540885e-14
relative error = 2.5377658887396939566589456509734e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=816.3MB, alloc=4.6MB, time=40.54
x[1] = 6.129
y[1] (analytic) = 1057804.0209869744483863845753549
y[1] (numeric) = 1057804.0209869744483595399854848
absolute error = 2.68445898701e-14
relative error = 2.5377659129195688705762706790918e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.13
y[1] (analytic) = 1059921.7460481009810649723209812
y[1] (numeric) = 1059921.7460481009810380739879506
absolute error = 2.68983330306e-14
relative error = 2.5377659370505367183159957492138e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.131
y[1] (analytic) = 1062043.7107976249353306456738948
y[1] (numeric) = 1062043.7107976249353036934901099
absolute error = 2.69521837849e-14
relative error = 2.5377659611258510154659069734197e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.132
y[1] (analytic) = 1064169.9237234081385659316335998
y[1] (numeric) = 1064169.9237234081385389254912512
absolute error = 2.70061423486e-14
relative error = 2.5377659851641563755758016873833e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.133
y[1] (analytic) = 1066300.3933303051288545888456134
y[1] (numeric) = 1066300.3933303051288275286366761
absolute error = 2.70602089373e-14
relative error = 2.5377660091435067785322088866164e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.134
y[1] (analytic) = 1068435.1281401971744110997440644
y[1] (numeric) = 1068435.1281401971743839853602969
absolute error = 2.71143837675e-14
relative error = 2.5377660330859248694085317152130e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.135
y[1] (analytic) = 1070574.1366920263611171059194948
y[1] (numeric) = 1070574.1366920263610899372524391
absolute error = 2.71686670557e-14
relative error = 2.5377660569728157436325327192903e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.136
y[1] (analytic) = 1072717.4275418297483011369030591
y[1] (numeric) = 1072717.42754182974827391384404
absolute error = 2.72230590191e-14
relative error = 2.5377660808105458728482643320648e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.137
y[1] (analytic) = 1074865.0092627735928982555315758
y[1] (numeric) = 1074865.0092627735928709779717005
absolute error = 2.72775598753e-14
relative error = 2.5377661046022031988560796968117e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.138
y[1] (analytic) = 1077016.8904451876421265165776454
y[1] (numeric) = 1077016.8904451876420991844078031
absolute error = 2.73321698423e-14
relative error = 2.5377661283475488309681159169551e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.139
y[1] (analytic) = 1079173.079696599494817409396393
y[1] (numeric) = 1079173.0796965994947900225072545
absolute error = 2.73868891385e-14
relative error = 2.5377661520429693562826047680050e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.14
y[1] (analytic) = 1081333.5856417690315377299564211
y[1] (numeric) = 1081333.5856417690315102882384383
absolute error = 2.74417179828e-14
relative error = 2.5377661756906775989555389482551e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.141
y[1] (analytic) = 1083498.4169227229136406027883676
y[1] (numeric) = 1083498.416922722913613106131773
absolute error = 2.74966565946e-14
relative error = 2.5377661992985737585467604054833e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.142
y[1] (analytic) = 1085667.582198789151383649101155
y[1] (numeric) = 1085667.5821987891513560973959615
absolute error = 2.75517051935e-14
relative error = 2.5377662228524749356926713309065e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.143
y[1] (analytic) = 1087841.0901466317412525735846956
y[1] (numeric) = 1087841.0901466317412249667206958
absolute error = 2.76068639998e-14
relative error = 2.5377662463622172209030093304488e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.144
y[1] (analytic) = 1090018.949460285372628719239581
y[1] (numeric) = 1090018.9494602853726010571063469
absolute error = 2.76621332341e-14
relative error = 2.5377662698246388988685106154702e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.145
y[1] (analytic) = 1092201.1688511902039394169502524
y[1] (numeric) = 1092201.168851190203911699437135
absolute error = 2.77175131174e-14
relative error = 2.5377662932327849253065508546782e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.146
y[1] (analytic) = 1094387.7570482267084302344494174
y[1] (numeric) = 1094387.757048226708402461445546
absolute error = 2.77730038714e-14
relative error = 2.5377663166032767340114749905155e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.147
y[1] (analytic) = 1096578.7227977505896985078091704
y[1] (numeric) = 1096578.7227977505896706792034524
absolute error = 2.78286057180e-14
relative error = 2.5377663399303998220416862298643e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.148
y[1] (analytic) = 1098774.0748636277671278176394964
y[1] (numeric) = 1098774.0748636277670999333206169
absolute error = 2.78843188795e-14
relative error = 2.5377663632044475252641069442901e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.149
y[1] (analytic) = 1100973.8220272694313633517787109
y[1] (numeric) = 1100973.8220272694313354116351321
absolute error = 2.79401435788e-14
relative error = 2.5377663864298460619611626388068e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.15
y[1] (analytic) = 1103177.9730876671699683764240264
y[1] (numeric) = 1103177.9730876671699403803439872
absolute error = 2.79960800392e-14
relative error = 2.5377664096068034897474915175497e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.151
y[1] (analytic) = 1105386.5368614281634023183749652
y[1] (numeric) = 1105386.5368614281633742662464806
absolute error = 2.80521284846e-14
relative error = 2.5377664327493640855171970261177e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.152
y[1] (analytic) = 1107599.522182810451461242348874
y[1] (numeric) = 1107599.522182810451433134059735
absolute error = 2.81082891390e-14
relative error = 2.5377664558400466414291971215152e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.153
y[1] (analytic) = 1109816.9379037582703217891774736
y[1] (numeric) = 1109816.9379037582702936246152465
absolute error = 2.81645622271e-14
relative error = 2.5377664788841410126750042562097e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.154
y[1] (analytic) = 1112038.7928939374603299231073106
y[1] (numeric) = 1112038.7928939374603017021593366
absolute error = 2.82209479740e-14
relative error = 2.5377665018824230534548418046727e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.155
y[1] (analytic) = 1114265.0960407709446761194063117
y[1] (numeric) = 1114265.0960407709446478419597064
absolute error = 2.82774466053e-14
relative error = 2.5377665248400932244716357462369e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.156
y[1] (analytic) = 1116495.8562494742790989070244954
y[1] (numeric) = 1116495.8562494742790705729661486
absolute error = 2.83340583468e-14
relative error = 2.5377665477397817766564965410408e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.157
y[1] (analytic) = 1118731.0824430912727589651704126
y[1] (numeric) = 1118731.0824430912727305743869874
absolute error = 2.83907834252e-14
relative error = 2.5377665706042641088127042578014e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=820.1MB, alloc=4.6MB, time=40.72
TOP MAIN SOLVE Loop
x[1] = 6.158
y[1] (analytic) = 1120970.7835625296804262573471946
y[1] (numeric) = 1120970.7835625296803978097251273
absolute error = 2.84476220673e-14
relative error = 2.5377665934246128957354107486366e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.159
y[1] (analytic) = 1123214.9685665969661229716443367
y[1] (numeric) = 1123214.9685665969660944670698363
absolute error = 2.85045745004e-14
relative error = 2.5377666161960451496896015574202e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.16
y[1] (analytic) = 1125463.6464320361383653219046617
y[1] (numeric) = 1125463.6464320361383367602637094
absolute error = 2.85616409523e-14
relative error = 2.5377666389178003722473069428694e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.161
y[1] (analytic) = 1127716.8261535616571475507814495
y[1] (numeric) = 1127716.8261535616571189319597981
absolute error = 2.86188216514e-14
relative error = 2.5377666616018872329839711623847e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.162
y[1] (analytic) = 1129974.5167438954128117626696196
y[1] (numeric) = 1129974.5167438954127830865527934
absolute error = 2.86761168262e-14
relative error = 2.5377666842286264487895829388974e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.163
y[1] (analytic) = 1132236.727233802776947502038272
y[1] (numeric) = 1132236.7272338027769187685115659
absolute error = 2.87335267061e-14
relative error = 2.5377667068175426680900638823154e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.164
y[1] (analytic) = 1134503.4666721287254652808109654
y[1] (numeric) = 1134503.4666721287254364897594448
absolute error = 2.87910515206e-14
relative error = 2.5377667293563773763468641897840e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.165
y[1] (analytic) = 1136774.7441258340339885471360086
y[1] (numeric) = 1136774.7441258340339596984445087
absolute error = 2.88486914999e-14
relative error = 2.5377667518541057350339810094769e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.166
y[1] (analytic) = 1139050.5686800315457088771628988
y[1] (numeric) = 1139050.5686800315456799707160243
absolute error = 2.89064468745e-14
relative error = 2.5377667743055271781580650069340e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.167
y[1] (analytic) = 1141330.9494380225118494612940324
y[1] (numeric) = 1141330.949438022511820496976157
absolute error = 2.89643178754e-14
relative error = 2.5377667967088492692906276740771e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.168
y[1] (analytic) = 1143615.895521333004882246814087
y[1] (numeric) = 1143615.8955213330048532245093527
absolute error = 2.90223047343e-14
relative error = 2.5377668190830614491563763707245e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.169
y[1] (analytic) = 1145905.4160697504046443898141945
y[1] (numeric) = 1145905.4160697504046153094065117
absolute error = 2.90804076828e-14
relative error = 2.5377668413978329044911208682078e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.17
y[1] (analytic) = 1148199.5202413599574999609253644
y[1] (numeric) = 1148199.5202413599574708222984109
absolute error = 2.91386269535e-14
relative error = 2.5377668636697258832157200597905e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.171
y[1] (analytic) = 1150498.2172125814086931415567223
y[1] (numeric) = 1150498.217212581408663944593943
absolute error = 2.91969627793e-14
relative error = 2.5377668859008044342413787114498e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.172
y[1] (analytic) = 1152801.5161782057080394401001942
y[1] (numeric) = 1152801.5161782057080101846848007
absolute error = 2.92554153935e-14
relative error = 2.5377669080873723029569897891837e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.173
y[1] (analytic) = 1155109.426351431789101750915441
y[1] (numeric) = 1155109.4263514317890724369304111
absolute error = 2.93139850299e-14
relative error = 2.5377669302286067808319507486281e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.174
y[1] (analytic) = 1157421.9569639034219983728483186
y[1] (numeric) = 1157421.9569639034219690001763958
absolute error = 2.93726719228e-14
relative error = 2.5377669523264493441302524831719e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.175
y[1] (analytic) = 1159739.1172657461399903985640746
y[1] (numeric) = 1159739.1172657461399609670877676
absolute error = 2.94314763070e-14
relative error = 2.5377669743854972707296734523452e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.176
y[1] (analytic) = 1162060.9165256042399961810940744
y[1] (numeric) = 1162060.9165256042399666906956569
absolute error = 2.94903984175e-14
relative error = 2.5377669963870800268585726620240e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.177
y[1] (analytic) = 1164387.3640306778571808797032573
y[1] (numeric) = 1164387.3640306778571513302647671
absolute error = 2.95494384902e-14
relative error = 2.5377670183495281780236892482474e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.178
y[1] (analytic) = 1166718.4690867601137693834859377
y[1] (numeric) = 1166718.4690867601137397748891765
absolute error = 2.96085967612e-14
relative error = 2.5377670402677263548711171205942e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.179
y[1] (analytic) = 1169054.241018274342231207991179
y[1] (numeric) = 1169054.2410182743422015401177119
absolute error = 2.96678734671e-14
relative error = 2.5377670621389277148205358239736e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.18
y[1] (analytic) = 1171394.6891683113829862576669571
y[1] (numeric) = 1171394.6891683113829565303981119
absolute error = 2.97272688452e-14
relative error = 2.5377670839797233470283989480830e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.181
y[1] (analytic) = 1173739.8228986669567806449958923
y[1] (numeric) = 1173739.8228986669567508582127595
absolute error = 2.97867831328e-14
relative error = 2.5377671057661299643994925692623e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.182
y[1] (analytic) = 1176089.6515898791118820558756588
y[1] (numeric) = 1176089.6515898791118522094590906
absolute error = 2.98464165682e-14
relative error = 2.5377671275189413095648869533083e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.183
y[1] (analytic) = 1178444.1846412657462444500754594
y[1] (numeric) = 1178444.1846412657462145439060697
absolute error = 2.99061693897e-14
relative error = 2.5377671492183433401049806275752e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.184
y[1] (analytic) = 1180803.4314709622047921854774004
y[1] (numeric) = 1180803.4314709622047622194355639
absolute error = 2.99660418365e-14
relative error = 2.5377671708804575602159753456181e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.185
y[1] (analytic) = 1183167.40151595895197395528939
y[1] (numeric) = 1183167.401515958951943929255242
absolute error = 3.00260341480e-14
relative error = 2.5377671924977387870112386955530e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.186
y[1] (analytic) = 1185536.1042321393197372284955416
y[1] (numeric) = 1185536.1042321393197071423489775
absolute error = 3.00861465641e-14
relative error = 2.5377672140644351437445894084318e-18 %
Correct digits = 19
h = 0.001
memory used=824.0MB, alloc=4.6MB, time=40.91
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.187
y[1] (analytic) = 1187909.5490943173310741854921738
y[1] (numeric) = 1187909.5490943173310440391128483
absolute error = 3.01463793255e-14
relative error = 2.5377672356017440915870016353752e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.188
y[1] (analytic) = 1190287.7455962755992904431435794
y[1] (numeric) = 1190287.7455962755992602364109066
absolute error = 3.02067326728e-14
relative error = 2.5377672570818506645415016040111e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.189
y[1] (analytic) = 1192670.7032508033031481663829998
y[1] (numeric) = 1192670.7032508033031178991761521
absolute error = 3.02672068477e-14
relative error = 2.5377672785289499845487581866078e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.19
y[1] (analytic) = 1195058.4315897342380354669818795
y[1] (numeric) = 1195058.4315897342380051391797876
absolute error = 3.03278020919e-14
relative error = 2.5377672999266022793043336991817e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.191
y[1] (analytic) = 1197450.9401639849433142942157358
y[1] (numeric) = 1197450.9401639849432839056970879
absolute error = 3.03885186479e-14
relative error = 2.5377673212848656410710513377050e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.192
y[1] (analytic) = 1199848.2385435929059993268690394
y[1] (numeric) = 1199848.2385435929059688775122808
absolute error = 3.04493567586e-14
relative error = 2.5377673426066136169816849278024e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.193
y[1] (analytic) = 1202250.3363177548409206813456134
y[1] (numeric) = 1202250.3363177548408901710289463
absolute error = 3.05103166671e-14
relative error = 2.5377673638708903093203281065100e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.194
y[1] (analytic) = 1204657.243094865047523556586424
y[1] (numeric) = 1204657.2430948650474929851878064
absolute error = 3.05713986176e-14
relative error = 2.5377673851077775625909043342498e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.195
y[1] (analytic) = 1207068.9685025538434582430444827
y[1] (numeric) = 1207068.9685025538434276104416286
absolute error = 3.06326028541e-14
relative error = 2.5377674062901062304219972943384e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.196
y[1] (analytic) = 1209485.5221877260751142301281444
y[1] (numeric) = 1209485.5221877260750835361985227
absolute error = 3.06939296217e-14
relative error = 2.5377674274414298291151298191025e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.197
y[1] (analytic) = 1211906.9138165997052524543005742
y[1] (numeric) = 1211906.9138165997052216989214087
absolute error = 3.07553791655e-14
relative error = 2.5377674485446720523155789742698e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.198
y[1] (analytic) = 1214333.1530747444778900384158292
y[1] (numeric) = 1214333.153074744477859221464098
absolute error = 3.08169517312e-14
relative error = 2.5377674695918607564188214384741e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.199
y[1] (analytic) = 1216764.2496671206605921818820642
y[1] (numeric) = 1216764.2496671206605613032344987
absolute error = 3.08786475655e-14
relative error = 2.5377674906168309644593576409777e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.2
y[1] (analytic) = 1219200.213318117864326170871077
y[1] (numeric) = 1219200.2133181178642952304041621
absolute error = 3.09404669149e-14
relative error = 2.5377675115963015494114283598416e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.201
y[1] (analytic) = 1221641.0537715939410327880419976
y[1] (numeric) = 1221641.0537715939410017856319708
absolute error = 3.10024100268e-14
relative error = 2.5377675325404064888953053111373e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.202
y[1] (analytic) = 1224086.7807909139590707121166194
y[1] (numeric) = 1224086.7807909139590396476394707
absolute error = 3.10644771487e-14
relative error = 2.5377675534269263304337906203059e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.203
y[1] (analytic) = 1226537.4041589892566898091359421
y[1] (numeric) = 1226537.4041589892566586824674129
absolute error = 3.11266685292e-14
relative error = 2.5377675742830605267976289256348e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.204
y[1] (analytic) = 1228992.933678316573689529343158
y[1] (numeric) = 1228992.9336783165736583403587411
absolute error = 3.11889844169e-14
relative error = 2.5377675950953496492356198070669e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.205
y[1] (analytic) = 1231453.3791710172614189363788496
y[1] (numeric) = 1231453.3791710172613876849537886
absolute error = 3.12514250610e-14
relative error = 2.5377676158587225998574956386262e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.206
y[1] (analytic) = 1233918.7504788765712752088407922
y[1] (numeric) = 1233918.7504788765712438948500807
absolute error = 3.13139907115e-14
relative error = 2.5377676365925410692522289000902e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.207
y[1] (analytic) = 1236389.0574633830218577682547524
y[1] (numeric) = 1236389.057463383021826391573134
absolute error = 3.13766816184e-14
relative error = 2.5377676572755703014918685662942e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.208
y[1] (analytic) = 1238864.3100057678449355021252862
y[1] (numeric) = 1238864.3100057678449040626272536
absolute error = 3.14394980326e-14
relative error = 2.5377676779189502598161328855150e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.209
y[1] (analytic) = 1241344.5180070445103848659880211
y[1] (numeric) = 1241344.5180070445103533635478157
absolute error = 3.15024402054e-14
relative error = 2.5377676985255133410863136089932e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.21
y[1] (analytic) = 1243829.6913880483302569642685314
y[1] (numeric) = 1243829.691388048330225398760143
absolute error = 3.15655083884e-14
relative error = 2.5377677190817464366432329650352e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.211
y[1] (analytic) = 1246319.8400894761421320262689362
y[1] (numeric) = 1246319.8400894761421003975661021
absolute error = 3.16287028341e-14
relative error = 2.5377677396060150442866585255968e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.212
y[1] (analytic) = 1248814.9740719260719200107530334
y[1] (numeric) = 1248814.9740719260718883187292382
absolute error = 3.16920237952e-14
relative error = 2.5377677600921113983786442018064e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.213
y[1] (analytic) = 1251315.1033159373762663903854068
y[1] (numeric) = 1251315.103315937376234634913882
absolute error = 3.17554715248e-14
relative error = 2.5377677805254016068943937119925e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.214
y[1] (analytic) = 1253820.2378220303647224857007671
y[1] (numeric) = 1253820.2378220303646906666544902
absolute error = 3.18190462769e-14
relative error = 2.5377678009227073984661856700751e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=827.8MB, alloc=4.6MB, time=41.09
x[1] = 6.215
y[1] (analytic) = 1256330.3876107464018400373380908
y[1] (numeric) = 1256330.3876107464018081545897851
absolute error = 3.18827483057e-14
relative error = 2.5377678212761938348707103771557e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.216
y[1] (analytic) = 1258845.562722687989350024971184
y[1] (numeric) = 1258845.5627226879893180783933178
absolute error = 3.19465778662e-14
relative error = 2.5377678416011968759008727189158e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.217
y[1] (analytic) = 1261365.7732185589285860617043876
y[1] (numeric) = 1261365.7732185589285540511691743
absolute error = 3.20105352133e-14
relative error = 2.5377678618645601818710052210957e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.218
y[1] (analytic) = 1263891.0291792045633130136805547
y[1] (numeric) = 1263891.0291792045632809390599514
absolute error = 3.20746206033e-14
relative error = 2.5377678821037192557664806440563e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.219
y[1] (analytic) = 1266421.340705652103121816269431
y[1] (numeric) = 1266421.3407056521030896774351388
absolute error = 3.21388342922e-14
relative error = 2.5377679022916802258818821788521e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.22
y[1] (analytic) = 1268956.7179191510275517804694726
y[1] (numeric) = 1268956.7179191510275195772929354
absolute error = 3.22031765372e-14
relative error = 2.5377679224557885423816349312960e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.221
y[1] (analytic) = 1271497.1709612135711020060661942
y[1] (numeric) = 1271497.1709612135710697384185989
absolute error = 3.22676475953e-14
relative error = 2.5377679425669999826244075047447e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.222
y[1] (analytic) = 1274042.7099936552892938416466852
y[1] (numeric) = 1274042.7099936552892615093989606
absolute error = 3.23322477246e-14
relative error = 2.5377679626423994871901295240291e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.223
y[1] (analytic) = 1276593.3451986357059466557742168
y[1] (numeric) = 1276593.3451986357059142587970333
absolute error = 3.23969771835e-14
relative error = 2.5377679826819939009090961822763e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.224
y[1] (analytic) = 1279149.0867786990418295084802254
y[1] (numeric) = 1279149.0867786990417970466439946
absolute error = 3.24618362308e-14
relative error = 2.5377680026766187971384997967944e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.225
y[1] (analytic) = 1281709.9449568150248516377346608
y[1] (numeric) = 1281709.9449568150248191109095349
absolute error = 3.25268251259e-14
relative error = 2.5377680226235534506906760428710e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.226
y[1] (analytic) = 1284275.9299764197819550017110595
y[1] (numeric) = 1284275.9299764197819224097669305
absolute error = 3.25919441290e-14
relative error = 2.5377680425419490060759510235082e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.227
y[1] (analytic) = 1286847.0521014568128724444710339
y[1] (numeric) = 1286847.0521014568128397872775335
absolute error = 3.26571935004e-14
relative error = 2.5377680624181327654605976622314e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.228
y[1] (analytic) = 1289423.3216164180459153801554734
y[1] (numeric) = 1289423.3216164180458826575819723
absolute error = 3.27225735011e-14
relative error = 2.5377680822523869628006843612217e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.229
y[1] (analytic) = 1292004.7488263849759552188879336
y[1] (numeric) = 1292004.7488263849759224308035409
absolute error = 3.27880843927e-14
relative error = 2.5377681020509891872368504852472e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.23
y[1] (analytic) = 1294591.3440570698847630863707683
y[1] (numeric) = 1294591.3440570698847302326443312
absolute error = 3.28537264371e-14
relative error = 2.5377681218028983405077320329475e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.231
y[1] (analytic) = 1297183.1176548571438727185878442
y[1] (numeric) = 1297183.1176548571438397990879473
absolute error = 3.29194998969e-14
relative error = 2.5377681415106826456169003855270e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.232
y[1] (analytic) = 1299780.0799868446001317431204861
y[1] (numeric) = 1299780.0799868446000987577154507
absolute error = 3.29854050354e-14
relative error = 2.5377681611903033280317616652319e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.233
y[1] (analytic) = 1302382.241440885044106889336959
y[1] (numeric) = 1302382.2414408850440738378948429
absolute error = 3.30514421161e-14
relative error = 2.5377681808325087286418235753090e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.234
y[1] (analytic) = 1304989.6124256277615090011316201
y[1] (numeric) = 1304989.6124256277614758835202171
absolute error = 3.31176114030e-14
relative error = 2.5377682004259934305315821043913e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.235
y[1] (analytic) = 1307602.2033705601678040579691925
y[1] (numeric) = 1307602.2033705601677708740560316
absolute error = 3.31839131609e-14
relative error = 2.5377682199802810997224218792030e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.236
y[1] (analytic) = 1310220.0247260495261767427337576
y[1] (numeric) = 1310220.0247260495261434923861025
absolute error = 3.32503476551e-14
relative error = 2.5377682395025391339636516574077e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.237
y[1] (analytic) = 1312843.086963384749013428292362
y[1] (numeric) = 1312843.0869633847489801113772107
absolute error = 3.33169151513e-14
relative error = 2.5377682589899039638608924220766e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.238
y[1] (analytic) = 1315471.4005748182830717887609204
y[1] (numeric) = 1315471.4005748182830384051450049
absolute error = 3.33836159155e-14
relative error = 2.5377682784218983364925115121513e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.239
y[1] (analytic) = 1318104.9760736080785045762067068
y[1] (numeric) = 1318104.976073608078471125756492
absolute error = 3.34504502148e-14
relative error = 2.5377682978212197811379409609933e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.24
y[1] (analytic) = 1320743.8239940596419054389384982
y[1] (numeric) = 1320743.8239940596418719215201816
absolute error = 3.35174183166e-14
relative error = 2.5377683171926573798350436244228e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.241
y[1] (analytic) = 1323387.9548915681735449936237158
y[1] (numeric) = 1323387.9548915681735114091032274
absolute error = 3.35845204884e-14
relative error = 2.5377683365080762397049729420136e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.242
y[1] (analytic) = 1326037.3793426607889657002330362
y[1] (numeric) = 1326037.3793426607889320484760372
absolute error = 3.36517569990e-14
relative error = 2.5377683557971605964739226926909e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.243
y[1] (analytic) = 1328692.1079450388251044262482644
y[1] (numeric) = 1328692.1079450388250707071201473
absolute error = 3.37191281171e-14
relative error = 2.5377683750413897479890095228991e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=831.6MB, alloc=4.6MB, time=41.27
TOP MAIN SOLVE Loop
x[1] = 6.244
y[1] (analytic) = 1331352.1513176202311119246801382
y[1] (numeric) = 1331352.1513176202310781380460258
absolute error = 3.37866341124e-14
relative error = 2.5377683942570604042292447426524e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.245
y[1] (analytic) = 1334017.5201005820440387892304924
y[1] (numeric) = 1334017.5201005820440049349552377
absolute error = 3.38542752547e-14
relative error = 2.5377684134273934166025028221827e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.246
y[1] (analytic) = 1336688.2249554029495577893992422
y[1] (numeric) = 1336688.2249554029495238673474276
absolute error = 3.39220518146e-14
relative error = 2.5377684325551509865341349883204e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.247
y[1] (analytic) = 1339364.2765649059278928284822705
y[1] (numeric) = 1339364.2765649059278588385182072
absolute error = 3.39899640633e-14
relative error = 2.5377684516474288567966572892574e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.248
y[1] (analytic) = 1342045.6856333009851251082329137
y[1] (numeric) = 1342045.6856333009850910502206413
absolute error = 3.40580122724e-14
relative error = 2.5377684707006294852666300834216e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.249
y[1] (analytic) = 1344732.46288622797004742546868
y[1] (numeric) = 1344732.4628862279700132992719658
absolute error = 3.41261967142e-14
relative error = 2.5377684897227970561943977538488e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.25
y[1] (analytic) = 1347424.619070799476737868097475
y[1] (numeric) = 1347424.6190707994767036735798138
absolute error = 3.41945176612e-14
relative error = 2.5377685086963126933206652333232e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.251
y[1] (analytic) = 1350122.1649556438330245209153232
y[1] (numeric) = 1350122.1649556438329902579399362
absolute error = 3.42629753870e-14
relative error = 2.5377685276447303452405178228351e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.252
y[1] (analytic) = 1352825.1113309481750131350917244
y[1] (numeric) = 1352825.1113309481749788035215592
absolute error = 3.43315701652e-14
relative error = 2.5377685465509740459816307862545e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.253
y[1] (analytic) = 1355533.469008501607850059510759
y[1] (numeric) = 1355533.4690085016078156592084889
absolute error = 3.44003022701e-14
relative error = 2.5377685654093022522357815814106e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.254
y[1] (analytic) = 1358247.2488217384528930770772124
y[1] (numeric) = 1358247.2488217384528586079052355
absolute error = 3.44691719769e-14
relative error = 2.5377685842398393505054242271011e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.255
y[1] (analytic) = 1360966.4616257815814631347287272
y[1] (numeric) = 1360966.4616257815814285965491663
absolute error = 3.45381795609e-14
relative error = 2.5377686030294549265962679244378e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.256
y[1] (analytic) = 1363691.118297485835350302218683
y[1] (numeric) = 1363691.1182974858353156948933847
absolute error = 3.46073252983e-14
relative error = 2.5377686217906786877091141812752e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.257
y[1] (analytic) = 1366421.2297354815342476417515309
y[1] (numeric) = 1366421.2297354815342129651420655
absolute error = 3.46766094654e-14
relative error = 2.5377686405028167391838994490840e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.258
y[1] (analytic) = 1369156.8068602180702870182640736
y[1] (numeric) = 1369156.8068602180702522722317341
absolute error = 3.47460323395e-14
relative error = 2.5377686591779360743046126218509e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.259
y[1] (analytic) = 1371897.8606140075898512285540556
y[1] (numeric) = 1371897.8606140075898164129598572
absolute error = 3.48155941984e-14
relative error = 2.5377686778240114541248280674428e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.26
y[1] (analytic) = 1374644.4019610687628371765628238
y[1] (numeric) = 1374644.4019610687628022912675037
absolute error = 3.48852953201e-14
relative error = 2.5377686964230611801413610012136e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.261
y[1] (analytic) = 1377396.4418875706395451719231199
y[1] (numeric) = 1377396.4418875706395102167871362
absolute error = 3.49551359837e-14
relative error = 2.5377687149966659443493364406886e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.262
y[1] (analytic) = 1380153.9914016765953697793876716
y[1] (numeric) = 1380153.9914016765953347542712033
absolute error = 3.50251164683e-14
relative error = 2.5377687335257922644962904361768e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.263
y[1] (analytic) = 1382917.0615335883634679979605762
y[1] (numeric) = 1382917.0615335883634329027235223
absolute error = 3.50952370539e-14
relative error = 2.5377687520161963818244152985963e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.264
y[1] (analytic) = 1385685.663335590155580900462902
y[1] (numeric) = 1385685.6633355901555457349648809
absolute error = 3.51654980211e-14
relative error = 2.5377687704764466365756566219696e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.265
y[1] (analytic) = 1388459.8078820928711852168778927
y[1] (numeric) = 1388459.8078820928711499809782419
absolute error = 3.52358996508e-14
relative error = 2.5377687888962076686158720363200e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.266
y[1] (analytic) = 1391239.5062696783951516981410561
y[1] (numeric) = 1391239.5062696783951163916988314
absolute error = 3.53064422247e-14
relative error = 2.5377688072822872963945818538915e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.267
y[1] (analytic) = 1394024.7696171439840874510676534
y[1] (numeric) = 1394024.7696171439840520739416285
absolute error = 3.53771260249e-14
relative error = 2.5377688256296909716228726577418e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.268
y[1] (analytic) = 1396815.609065546741539789846112
y[1] (numeric) = 1396815.6090655467415043418947779
absolute error = 3.54479513341e-14
relative error = 2.5377688439359768934961817485274e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.269
y[1] (analytic) = 1399612.0357782481822395049720678
y[1] (numeric) = 1399612.035778248182203986053632
absolute error = 3.55189184358e-14
relative error = 2.5377688622154395778947538099107e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.27
y[1] (analytic) = 1402414.060940958885561806655531
y[1] (numeric) = 1402414.0609409588855262166279173
absolute error = 3.55900276137e-14
relative error = 2.5377688804560785866854576132532e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.271
y[1] (analytic) = 1405221.6957617832383835566044883
y[1] (numeric) = 1405221.6957617832383478953253361
absolute error = 3.56612791522e-14
relative error = 2.5377688986553614162021935710016e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.272
y[1] (analytic) = 1408034.951471264267515759673525
y[1] (numeric) = 1408034.9514712642674800270001886
memory used=835.4MB, alloc=4.6MB, time=41.46
absolute error = 3.57326733364e-14
relative error = 2.5377689168200485886167018612311e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.273
y[1] (analytic) = 1410853.8393224285618906451672096
y[1] (numeric) = 1410853.8393224285618548409567577
absolute error = 3.58042104519e-14
relative error = 2.5377689349518443007849536711594e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.274
y[1] (analytic) = 1413678.3705908312846830266064636
y[1] (numeric) = 1413678.3705908312846471507156789
absolute error = 3.58758907847e-14
relative error = 2.5377689530402921205100597151530e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.275
y[1] (analytic) = 1416508.5565746012755459885033712
y[1] (numeric) = 1416508.5565746012755100407887496
absolute error = 3.59477146216e-14
relative error = 2.5377689710910540466725211374298e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.276
y[1] (analytic) = 1419344.408594486243141309147312
y[1] (numeric) = 1419344.408594486243105289465062
absolute error = 3.60196822500e-14
relative error = 2.5377689891115780883131080490729e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.277
y[1] (analytic) = 1422185.937993898048145389584365
y[1] (numeric) = 1422185.9379938980481092977904073
absolute error = 3.60917939577e-14
relative error = 2.5377690070969365359450122652902e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.278
y[1] (analytic) = 1425033.1561389580769118208740766
y[1] (numeric) = 1425033.1561389580768756568240436
absolute error = 3.61640500330e-14
relative error = 2.5377690250368858762430701921100e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.279
y[1] (analytic) = 1427886.0744185427059720843343614
y[1] (numeric) = 1427886.0744185427059358478835962
absolute error = 3.62364507652e-14
relative error = 2.5377690429508560902395648541394e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.28
y[1] (analytic) = 1430744.7042443288575562428379532
y[1] (numeric) = 1430744.7042443288575199338415096
absolute error = 3.63089964436e-14
relative error = 2.5377690608176801503148089647047e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.281
y[1] (analytic) = 1433609.057050839646315845303916
y[1] (numeric) = 1433609.0570508396462794636165572
absolute error = 3.63816873588e-14
relative error = 2.5377690786665982381620106824057e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.282
y[1] (analytic) = 1436479.1442954901174316313366908
y[1] (numeric) = 1436479.1442954901173951768128897
absolute error = 3.64545238011e-14
relative error = 2.5377690964652907704667004037449e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.283
y[1] (analytic) = 1439354.9774586330762889885044855
y[1] (numeric) = 1439354.9774586330762524609984234
absolute error = 3.65275060621e-14
relative error = 2.5377691142315723164576881934353e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.284
y[1] (analytic) = 1442236.5680436050099044810199395
y[1] (numeric) = 1442236.5680436050098678803855058
absolute error = 3.66006344337e-14
relative error = 2.5377691319634744914229955194708e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.285
y[1] (analytic) = 1445123.9275767721002871355904082
y[1] (numeric) = 1445123.9275767721002504616811998
absolute error = 3.66739092084e-14
relative error = 2.5377691496601215416085443923896e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.286
y[1] (analytic) = 1448017.0676075763299185379443618
y[1] (numeric) = 1448017.0676075763298817906136825
absolute error = 3.67473306793e-14
relative error = 2.5377691673216387049243907283182e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.287
y[1] (analytic) = 1450915.9997085816795361620157582
y[1] (numeric) = 1450915.9997085816794993411166181
absolute error = 3.68208991401e-14
relative error = 2.5377691849490614436691982959100e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.288
y[1] (analytic) = 1453820.7354755204184047229813034
y[1] (numeric) = 1453820.7354755204183678283664184
absolute error = 3.68946148850e-14
relative error = 2.5377692025373671169952126253008e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.289
y[1] (analytic) = 1456731.2865273394872607152977332
y[1] (numeric) = 1456731.2865273394872237468195241
absolute error = 3.69684782091e-14
relative error = 2.5377692201029133939290600956055e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.29
y[1] (analytic) = 1459647.6645062469741156675791101
y[1] (numeric) = 1459647.6645062469740786250897026
absolute error = 3.70424894075e-14
relative error = 2.5377692376214853466516413113079e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.291
y[1] (analytic) = 1462569.8810777586831040175891258
y[1] (numeric) = 1462569.8810777586830669009403494
absolute error = 3.71166487764e-14
relative error = 2.5377692551038293976062416658722e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.292
y[1] (analytic) = 1465497.9479307447965618828019978
y[1] (numeric) = 1465497.9479307447965246918453852
absolute error = 3.71909566126e-14
relative error = 2.5377692725611061225793146571464e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.293
y[1] (analytic) = 1468431.8767774766305233749092602
y[1] (numeric) = 1468431.8767774766304861094960471
absolute error = 3.72654132131e-14
relative error = 2.5377692899775649404266577380166e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.294
y[1] (analytic) = 1471371.6793536734838214803200478
y[1] (numeric) = 1471371.6793536734837841403011721
absolute error = 3.73400188757e-14
relative error = 2.5377693073515099837216361264062e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.295
y[1] (analytic) = 1474317.36741854958098090312086
y[1] (numeric) = 1474317.3674185495809434883469609
absolute error = 3.74147738991e-14
relative error = 2.5377693247018623178979658936644e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.296
y[1] (analytic) = 1477268.9527548611090906421287663
y[1] (numeric) = 1477268.9527548611090531524501842
absolute error = 3.74896785821e-14
relative error = 2.5377693420137192593426242746893e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.297
y[1] (analytic) = 1480226.4471689533488444495910797
y[1] (numeric) = 1480226.4471689533488068848578553
absolute error = 3.75647332244e-14
relative error = 2.5377693592926565026794663629929e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.298
y[1] (analytic) = 1483189.862490807899937695756172
y[1] (numeric) = 1483189.8624908078999000558180459
absolute error = 3.76399381261e-14
relative error = 2.5377693765307322076199276514002e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.299
y[1] (analytic) = 1486159.2105740900010095409658577
y[1] (numeric) = 1486159.2105740900009718256722694
absolute error = 3.77152935883e-14
relative error = 2.5377693937469135397558463746789e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.3
y[1] (analytic) = 1489134.5032961959443196951011268
y[1] (numeric) = 1489134.5032961959442819043012148
absolute error = 3.77907999120e-14
relative error = 2.5377694109128589527208271208136e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=839.2MB, alloc=4.6MB, time=41.65
x[1] = 6.301
y[1] (analytic) = 1492115.7525583005853494231514868
y[1] (numeric) = 1492115.7525583005853115566940871
absolute error = 3.78664573997e-14
relative error = 2.5377694280605395303352644812092e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.302
y[1] (analytic) = 1495102.9702854049475168353752776
y[1] (numeric) = 1495102.9702854049474788931089239
absolute error = 3.79422663537e-14
relative error = 2.5377694451678522481244490467829e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.303
y[1] (analytic) = 1498096.1684263839221968809755983
y[1] (numeric) = 1498096.168426383922158862748521
absolute error = 3.80182270773e-14
relative error = 2.5377694622391797634309075295866e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.304
y[1] (analytic) = 1501095.3589540340642368454354162
y[1] (numeric) = 1501095.3589540340641987510955418
absolute error = 3.80943398744e-14
relative error = 2.5377694792783986942339251368347e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.305
y[1] (analytic) = 1504100.5538651214831585336375771
y[1] (numeric) = 1504100.5538651214831203630325277
absolute error = 3.81706050494e-14
relative error = 2.5377694962821552060568234310875e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.306
y[1] (analytic) = 1507111.7651804298302387036423036
y[1] (numeric) = 1507111.7651804298302004566193962
absolute error = 3.82470229074e-14
relative error = 2.5377695132531267032732511220357e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.307
y[1] (analytic) = 1510129.0049448083816596995078994
y[1] (numeric) = 1510129.0049448083816213759141454
absolute error = 3.83235937540e-14
relative error = 2.5377695301866370067805594915670e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.308
y[1] (analytic) = 1513152.2852272202179226158213019
y[1] (numeric) = 1513152.2852272202178842155034063
absolute error = 3.84003178956e-14
relative error = 2.5377695470904750677310210065957e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.309
y[1] (analytic) = 1516181.61812079049971571165538
y[1] (numeric) = 1516181.6181207904996772344597409
absolute error = 3.84771956391e-14
relative error = 2.5377695639649032773099849434058e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.31
y[1] (analytic) = 1519217.015742854840431177491001
y[1] (numeric) = 1519217.0157428548403926232637092
absolute error = 3.85542272918e-14
relative error = 2.5377695807960692060881373269086e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.311
y[1] (analytic) = 1522258.4902350077755237452354319
y[1] (numeric) = 1522258.4902350077754851138222699
absolute error = 3.86314131620e-14
relative error = 2.5377695975954809173554328110154e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.312
y[1] (analytic) = 1525306.0537631513289050188361386
y[1] (numeric) = 1525306.0537631513288663100825802
absolute error = 3.87087535584e-14
relative error = 2.5377696143603369981159654170624e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.313
y[1] (analytic) = 1528359.718517543676567791132064
y[1] (numeric) = 1528359.7185175436765290048832735
absolute error = 3.87862487905e-14
relative error = 2.5377696310997600990413849312562e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.314
y[1] (analytic) = 1531419.4967128479076350015045334
y[1] (numeric) = 1531419.4967128479075961376053654
absolute error = 3.88638991680e-14
relative error = 2.5377696477954177857152092327503e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.315
y[1] (analytic) = 1534485.4005881808830283785886368
y[1] (numeric) = 1534485.4005881808829894368836351
absolute error = 3.89417050017e-14
relative error = 2.5377696644603672331030775274672e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.316
y[1] (analytic) = 1537557.4424071621919522027847999
y[1] (numeric) = 1537557.442407162191913183118197
absolute error = 3.90196666029e-14
relative error = 2.5377696810996386396948859388564e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.317
y[1] (analytic) = 1540635.6344579632063880145708714
y[1] (numeric) = 1540635.6344579632063489167865881
absolute error = 3.90977842833e-14
relative error = 2.5377696977037432668945078256363e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.318
y[1] (analytic) = 1543719.9890533562337964866589658
y[1] (numeric) = 1543719.9890533562337573106006105
absolute error = 3.91760583553e-14
relative error = 2.5377697142681710561201163015476e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.319
y[1] (analytic) = 1546810.5185307637682230708700864
y[1] (numeric) = 1546810.5185307637681838163809543
absolute error = 3.92544891321e-14
relative error = 2.5377697307997253835574769476253e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.32
y[1] (analytic) = 1549907.2352523078400044242147846
y[1] (numeric) = 1549907.2352523078399650911378571
absolute error = 3.93330769275e-14
relative error = 2.5377697473034254186375865711644e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.321
y[1] (analytic) = 1553010.151604859464273013071359
y[1] (numeric) = 1553010.1516048594642336012493034
absolute error = 3.94118220556e-14
relative error = 2.5377697637631255510331721834511e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.322
y[1] (analytic) = 1556119.2800000881884576895459444
y[1] (numeric) = 1556119.2800000881884181988211126
absolute error = 3.94907248318e-14
relative error = 2.5377697802059082501677586713978e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.323
y[1] (analytic) = 1559234.6328745117389784300828549
y[1] (numeric) = 1559234.6328745117389388602972836
absolute error = 3.95697855713e-14
relative error = 2.5377697966053710138755436405428e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.324
y[1] (analytic) = 1562356.2226895457673338231703374
y[1] (numeric) = 1562356.2226895457672941741657469
absolute error = 3.96490045905e-14
relative error = 2.5377698129716870465395216006361e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.325
y[1] (analytic) = 1565484.061931553695780290558009
y[1] (numeric) = 1565484.0619315536957405621758026
absolute error = 3.97283822064e-14
relative error = 2.5377698293128333144133576578307e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.326
y[1] (analytic) = 1568618.1631118966628024247693263
y[1] (numeric) = 1568618.16311189666276261685059
absolute error = 3.98079187363e-14
relative error = 2.5377698456154061651745717618415e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.327
y[1] (analytic) = 1571758.538766983568574224857032
y[1] (numeric) = 1571758.5387669835685343372425335
absolute error = 3.98876144985e-14
relative error = 2.5377698618892899025613784662792e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.328
y[1] (analytic) = 1574905.2014583212206114123132459
y[1] (numeric) = 1574905.2014583212205714448434342
absolute error = 3.99674698117e-14
relative error = 2.5377698781292463404754028416470e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.329
y[1] (analytic) = 1578058.163772564579815409810328
y[1] (numeric) = 1578058.1637725645797753623253326
absolute error = 4.00474849954e-14
relative error = 2.5377698943403322884435180572355e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=843.0MB, alloc=4.6MB, time=41.83
TOP MAIN SOLVE Loop
x[1] = 6.33
y[1] (analytic) = 1581217.4383215671071099670154208
y[1] (numeric) = 1581217.4383215671070698393550513
absolute error = 4.01276603695e-14
relative error = 2.5377699105124191473568871078497e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.331
y[1] (analytic) = 1584383.037742431210871820092305
y[1] (numeric) = 1584383.0377424312108316120960502
absolute error = 4.02079962548e-14
relative error = 2.5377699266518216329791455629051e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.332
y[1] (analytic) = 1587554.9746975587953571746804686
y[1] (numeric) = 1587554.9746975587953168861874959
absolute error = 4.02884929727e-14
relative error = 2.5377699427621561253936043119094e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.333
y[1] (analytic) = 1590733.2618747019103262061247192
y[1] (numeric) = 1590733.2618747019102858369738741
absolute error = 4.03691508451e-14
relative error = 2.5377699588380001623892264698654e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.334
y[1] (analytic) = 1593917.9119870135020681755208745
y[1] (numeric) = 1593917.9119870135020277255506798
absolute error = 4.04499701947e-14
relative error = 2.5377699748837233372720098608533e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.335
y[1] (analytic) = 1597108.9377730982660301657456614
y[1] (numeric) = 1597108.9377730982659896347943167
absolute error = 4.05309513447e-14
relative error = 2.5377699908945249490242212882459e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.336
y[1] (analytic) = 1600306.3519970636012528480535732
y[1] (numeric) = 1600306.351997063601212235958954
absolute error = 4.06120946192e-14
relative error = 2.5377700068814398511296832285778e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.337
y[1] (analytic) = 1603510.1674485706668170970516886
y[1] (numeric) = 1603510.167448570666776403651346
absolute error = 4.06934003426e-14
relative error = 2.5377700228336817328262414280988e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.338
y[1] (analytic) = 1606720.3969428855405056799069896
y[1] (numeric) = 1606720.3969428855404649050381496
absolute error = 4.07748688400e-14
relative error = 2.5377700387436753030052712875304e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.339
y[1] (analytic) = 1609937.0533209304798846545011458
y[1] (numeric) = 1609937.0533209304798437980007083
absolute error = 4.08565004375e-14
relative error = 2.5377700546255781085697562054106e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.34
y[1] (analytic) = 1613160.1494493352860095209267051
y[1] (numeric) = 1613160.1494493352859685826312434
absolute error = 4.09382954617e-14
relative error = 2.5377700704839878607444295559129e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.341
y[1] (analytic) = 1616389.6982204887699615812177828
y[1] (numeric) = 1616389.6982204887699205609635432
absolute error = 4.10202542396e-14
relative error = 2.5377700863077699442407012914621e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.342
y[1] (analytic) = 1619625.71255259032242037352931
y[1] (numeric) = 1619625.712552590322379271152211
absolute error = 4.11023770990e-14
relative error = 2.5377701020948306611315598057354e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.343
y[1] (analytic) = 1622868.2053897015864784591233373
y[1] (numeric) = 1622868.2053897015864372744589687
absolute error = 4.11846643686e-14
relative error = 2.5377701178581084832782640752300e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.344
y[1] (analytic) = 1626117.189701798233905253490438
y[1] (numeric) = 1626117.1897017982338639863740606
absolute error = 4.12671163774e-14
relative error = 2.5377701335884454525559595205897e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.345
y[1] (analytic) = 1629372.6784848218450670067305716
y[1] (numeric) = 1629372.6784848218450256569971165
absolute error = 4.13497334551e-14
relative error = 2.5377701492792759311694119018123e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.346
y[1] (analytic) = 1632634.6847607318927104529425023
y[1] (numeric) = 1632634.6847607318926690204265699
absolute error = 4.14325159324e-14
relative error = 2.5377701649448954737245746945381e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.347
y[1] (analytic) = 1635903.22157755782981806382568
y[1] (numeric) = 1635903.2215775578297765483615396
absolute error = 4.15154641404e-14
relative error = 2.5377701805834948972969842641198e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.348
y[1] (analytic) = 1639178.3020094512817432579850509
y[1] (numeric) = 1639178.3020094512817016594066402
absolute error = 4.15985784107e-14
relative error = 2.5377701961833404130042151812845e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.349
y[1] (analytic) = 1642459.9391567383428343345492238
y[1] (numeric) = 1642459.939156738342792652690148
absolute error = 4.16818590758e-14
relative error = 2.5377702117471457564216511981876e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.35
y[1] (analytic) = 1645748.1461459719777563176674544
y[1] (numeric) = 1645748.1461459719777145523609853
absolute error = 4.17653064691e-14
relative error = 2.5377702272918475223554097823293e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.351
y[1] (analytic) = 1649042.9361299845277203172426948
y[1] (numeric) = 1649042.9361299845276784683217706
absolute error = 4.18489209242e-14
relative error = 2.5377702428059333038046475357634e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.352
y[1] (analytic) = 1652344.32228794032183043088816
y[1] (numeric) = 1652344.3222879403217884981853845
absolute error = 4.19327027755e-14
relative error = 2.5377702582859564636779415619417e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.353
y[1] (analytic) = 1655652.3178253883937586325651667
y[1] (numeric) = 1655652.3178253883937166159128086
absolute error = 4.20166523581e-14
relative error = 2.5377702737303352984328975273082e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.354
y[1] (analytic) = 1658966.9359743153039585146720885
y[1] (numeric) = 1658966.9359743153039164139020806
absolute error = 4.21007700079e-14
relative error = 2.5377702891452815901689609623945e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.355
y[1] (analytic) = 1662288.1899931980676291725098248
y[1] (numeric) = 1662288.1899931980675869874537635
absolute error = 4.21850560613e-14
relative error = 2.5377703045265945984878134647153e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.356
y[1] (analytic) = 1665616.093167057188640943049893
y[1] (numeric) = 1665616.0931670571885986735390374
absolute error = 4.22695108556e-14
relative error = 2.5377703198836991694122653274375e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.357
y[1] (analytic) = 1668950.6588075097996351337788098
y[1] (numeric) = 1668950.6588075097995927796440813
absolute error = 4.23541347285e-14
relative error = 2.5377703352094700364083589134187e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=846.8MB, alloc=4.6MB, time=42.01
x[1] = 6.358
y[1] (analytic) = 1672291.900252822908510302088531
y[1] (numeric) = 1672291.9002528229084678631605126
absolute error = 4.24389280184e-14
relative error = 2.5377703504982554294832273619934e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.359
y[1] (analytic) = 1675639.8308679667515080712290636
y[1] (numeric) = 1675639.8308679667514655473379988
absolute error = 4.25238910648e-14
relative error = 2.5377703657696533147875007776282e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.36
y[1] (analytic) = 1678994.4640446682531118952376486
y[1] (numeric) = 1678994.4640446682530692862134414
absolute error = 4.26090242072e-14
relative error = 2.5377703810026631691630772571780e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.361
y[1] (analytic) = 1682355.8132014645929726125108584
y[1] (numeric) = 1682355.8132014645929299181830721
absolute error = 4.26943277863e-14
relative error = 2.5377703962073385245705707082216e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.362
y[1] (analytic) = 1685723.8917837568800750557932412
y[1] (numeric) = 1685723.891783756880032275991098
absolute error = 4.27798021432e-14
relative error = 2.5377704113769394160128321323452e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.363
y[1] (analytic) = 1689098.7132638639343604153205215
y[1] (numeric) = 1689098.7132638639343175498729016
absolute error = 4.28654476199e-14
relative error = 2.5377704265176205310124769390459e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.364
y[1] (analytic) = 1692480.2911410761760194816785158
y[1] (numeric) = 1692480.2911410761759765304139569
absolute error = 4.29512645589e-14
relative error = 2.5377704416245879051600323083901e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.365
y[1] (analytic) = 1695868.6389417096226723256225884
y[1] (numeric) = 1695868.6389417096226292883692848
absolute error = 4.30372533036e-14
relative error = 2.5377704567057139839546266888620e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.366
y[1] (analytic) = 1699263.7702191599946504036483627
y[1] (numeric) = 1699263.7702191599946072802341648
absolute error = 4.31234141979e-14
relative error = 2.5377704717577908678566189935356e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.367
y[1] (analytic) = 1702665.6985539569285975105142502
y[1] (numeric) = 1702665.6985539569285543007666638
absolute error = 4.32097475864e-14
relative error = 2.5377704867783061755548917773184e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.368
y[1] (analytic) = 1706074.4375538182996064331918932
y[1] (numeric) = 1706074.4375538182995631369380787
absolute error = 4.32962538145e-14
relative error = 2.5377705017712168299241095436504e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.369
y[1] (analytic) = 1709490.0008537046521085948635646
y[1] (numeric) = 1709490.0008537046520652119303364
absolute error = 4.33829332282e-14
relative error = 2.5377705167351043316306083904313e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.37
y[1] (analytic) = 1712912.4021158737397344125976778
y[1] (numeric) = 1712912.4021158737396909428115037
absolute error = 4.34697861741e-14
relative error = 2.5377705316631474993012529792394e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.371
y[1] (analytic) = 1716341.6550299351743625282165552
y[1] (numeric) = 1716341.6550299351743189714035554
absolute error = 4.35568129998e-14
relative error = 2.5377705465664010795079411219313e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.372
y[1] (analytic) = 1719777.7733129051845765086262446
y[1] (numeric) = 1719777.7733129051845328646121914
absolute error = 4.36440140532e-14
relative error = 2.5377705614328337025565391154550e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.373
y[1] (analytic) = 1723220.7707092614837480495081978
y[1] (numeric) = 1723220.7707092614837043181185144
absolute error = 4.37313896834e-14
relative error = 2.5377705762797050523339001654873e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.374
y[1] (analytic) = 1726670.6609909982479661547787799
y[1] (numeric) = 1726670.6609909982479223358385403
absolute error = 4.38189402396e-14
relative error = 2.5377705910894865095410180102826e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.375
y[1] (analytic) = 1730127.4579576812040322036066362
y[1] (numeric) = 1730127.457957681203988296940564
absolute error = 4.39066660722e-14
relative error = 2.5377706058737063269491445834794e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.376
y[1] (analytic) = 1733591.1754365028277412570416302
y[1] (numeric) = 1733591.1754365028276972624740982
absolute error = 4.39945675320e-14
relative error = 2.5377706206264322659221413390152e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.377
y[1] (analytic) = 1737061.8272823376526703974541807
y[1] (numeric) = 1737061.8272823376526263148092101
absolute error = 4.40826449706e-14
relative error = 2.5377706353473921546260276672974e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.378
y[1] (analytic) = 1740539.4273777976896953360120994
y[1] (numeric) = 1740539.4273777976896511651133591
absolute error = 4.41708987403e-14
relative error = 2.5377706500360914326129387741512e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.379
y[1] (analytic) = 1744023.9896332879574569663352511
y[1] (numeric) = 1744023.9896332879574127070060568
absolute error = 4.42593291943e-14
relative error = 2.5377706647032023131511531263631e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.38
y[1] (analytic) = 1747515.5279870621239999862682926
y[1] (numeric) = 1747515.5279870621239556383316064
absolute error = 4.43479366862e-14
relative error = 2.5377706793417593954368537620253e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.381
y[1] (analytic) = 1751014.056405278259806154400166
y[1] (numeric) = 1751014.0564052782597617176785958
absolute error = 4.44367215702e-14
relative error = 2.5377706939386765889979105271762e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.382
y[1] (analytic) = 1754519.5888820547024451935377108
y[1] (numeric) = 1754519.5888820547024006678535089
absolute error = 4.45256842019e-14
relative error = 2.5377707085203242614479020584182e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.383
y[1] (analytic) = 1758032.1394395260330667998114915
y[1] (numeric) = 1758032.1394395260330221849865547
absolute error = 4.46148249368e-14
relative error = 2.5377707230667321157872273875221e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.384
y[1] (analytic) = 1761551.7221278991649576634565179
y[1] (numeric) = 1761551.7221278991649129593123863
absolute error = 4.47041441316e-14
relative error = 2.5377707375857688507932363108212e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.385
y[1] (analytic) = 1765078.3510255095443878555707208
y[1] (numeric) = 1765078.3510255095443430619285773
absolute error = 4.47936421435e-14
relative error = 2.5377707520731257466733208967582e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.386
y[1] (analytic) = 1768612.040238877463971384311668
y[1] (numeric) = 1768612.0402388774639265009923373
absolute error = 4.48833193307e-14
relative error = 2.5377707665406279576995635503028e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=850.7MB, alloc=4.6MB, time=42.20
x[1] = 6.387
y[1] (analytic) = 1772152.8039027644887661740488276
y[1] (numeric) = 1772152.8039027644887212008727759
absolute error = 4.49731760517e-14
relative error = 2.5377707809764927242033215865651e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.388
y[1] (analytic) = 1775700.6561802299953391719465324
y[1] (numeric) = 1775700.6561802299952941087338665
absolute error = 4.50632126659e-14
relative error = 2.5377707953792734203826902611782e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.389
y[1] (analytic) = 1779255.6112626878240227383134549
y[1] (numeric) = 1779255.6112626878239775848839214
absolute error = 4.51534295335e-14
relative error = 2.5377708097520556354270841737162e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.39
y[1] (analytic) = 1782817.683369963044588929819692
y[1] (numeric) = 1782817.6833699630445436859926766
absolute error = 4.52438270154e-14
relative error = 2.5377708240967220535742348505654e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.391
y[1] (analytic) = 1786386.8867503488355687383542793
y[1] (numeric) = 1786386.8867503488355234039488061
absolute error = 4.53344054732e-14
relative error = 2.5377708384138835457482425917476e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.392
y[1] (analytic) = 1789963.2356806634774438028759296
y[1] (numeric) = 1789963.2356806634773983777106603
absolute error = 4.54251652693e-14
relative error = 2.5377708527083977042913829169323e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.393
y[1] (analytic) = 1793546.7444663074599385670998342
y[1] (numeric) = 1793546.7444663074598930509930677
absolute error = 4.55161067665e-14
relative error = 2.5377708669669434124982857640360e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.394
y[1] (analytic) = 1797137.4274413207036413122653007
y[1] (numeric) = 1797137.427441320703595705034972
absolute error = 4.56072303287e-14
relative error = 2.5377708811970722865757082606860e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.395
y[1] (analytic) = 1800735.2989684398961829515446538
y[1] (numeric) = 1800735.2989684398961372530083333
absolute error = 4.56985363205e-14
relative error = 2.5377708954047067374797191452360e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.396
y[1] (analytic) = 1804340.3734391559432029308850243
y[1] (numeric) = 1804340.3734391559431571408599174
absolute error = 4.57900251069e-14
relative error = 2.5377709095774485685531771591488e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.397
y[1] (analytic) = 1807952.665273771534332040223233
y[1] (numeric) = 1807952.665273771534286158526179
absolute error = 4.58816970540e-14
relative error = 2.5377709237233987873399363020762e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.398
y[1] (analytic) = 1811572.1889214588244223990817663
y[1] (numeric) = 1811572.1889214588243764255292378
absolute error = 4.59735525285e-14
relative error = 2.5377709378432721748991706266619e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.399
y[1] (analytic) = 1815198.9588603172302553415426964
y[1] (numeric) = 1815198.9588603172302092759507986
absolute error = 4.60655918978e-14
relative error = 2.5377709519358989867864643718304e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.4
y[1] (analytic) = 1818832.9895974313429583875081472
y[1] (numeric) = 1818832.9895974313429122296926172
absolute error = 4.61578155300e-14
relative error = 2.5377709659981629482435746319889e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.401
y[1] (analytic) = 1822474.2956689289563629499924078
y[1] (numeric) = 1822474.2956689289563166997686138
absolute error = 4.62502237940e-14
relative error = 2.5377709800304269898303644757436e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.402
y[1] (analytic) = 1826122.8916400392115348919538939
y[1] (numeric) = 1826122.8916400392114885491368344
absolute error = 4.63428170595e-14
relative error = 2.5377709940364178118836210092064e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.403
y[1] (analytic) = 1829778.7921051508577105108667103
y[1] (numeric) = 1829778.7921051508576640752710134
absolute error = 4.64355956969e-14
relative error = 2.5377710080176463220446358412570e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.404
y[1] (analytic) = 1833442.0116878706298709948534344
y[1] (numeric) = 1833442.0116878706298244662933572
absolute error = 4.65285600772e-14
relative error = 2.5377710219678945977040699685061e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.405
y[1] (analytic) = 1837112.5650410817431888607547818
y[1] (numeric) = 1837112.5650410817431422390442095
absolute error = 4.66217105723e-14
relative error = 2.5377710358895422077914189745528e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.406
y[1] (analytic) = 1840790.4668470025045803519998989
y[1] (numeric) = 1840790.4668470025045336369523441
absolute error = 4.67150475548e-14
relative error = 2.5377710497825348715070343070429e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.407
y[1] (analytic) = 1844475.7318172450415982425650224
y[1] (numeric) = 1844475.7318172450415514339936244
absolute error = 4.68085713980e-14
relative error = 2.5377710636443278751522781546967e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.408
y[1] (analytic) = 1848168.3746928741488999626700278
y[1] (numeric) = 1848168.3746928741488530603875516
absolute error = 4.69022824762e-14
relative error = 2.5377710774860624384777527154305e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.409
y[1] (analytic) = 1851868.41024446625252643216383
y[1] (numeric) = 1851868.4102444662524794359826659
absolute error = 4.69961811641e-14
relative error = 2.5377710912999485808713522121928e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.41
y[1] (analytic) = 1855575.85327216849222745879259
y[1] (numeric) = 1855575.8532721684921803685247528
absolute error = 4.70902678372e-14
relative error = 2.5377711050809296475101907291567e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.411
y[1] (analytic) = 1859290.7186057579220700307310972
y[1] (numeric) = 1859290.7186057579220228461882253
absolute error = 4.71845428719e-14
relative error = 2.5377711188319529062302451474460e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.412
y[1] (analytic) = 1863013.0211047008295663058894302
y[1] (numeric) = 1863013.0211047008295190268827847
absolute error = 4.72790066455e-14
relative error = 2.5377711325638089875546530413695e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.413
y[1] (analytic) = 1866742.7756582121735585745859464
y[1] (numeric) = 1866742.7756582121735112009264108
absolute error = 4.73736595356e-14
relative error = 2.5377711462628310629589053423107e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.414
y[1] (analytic) = 1870479.9971853151410989472057029
y[1] (numeric) = 1870479.997185315141051478703782
absolute error = 4.74685019209e-14
relative error = 2.5377711599338277122564833297411e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.415
y[1] (analytic) = 1874224.700634900823561994442466
y[1] (numeric) = 1874224.7006349008235144309082851
absolute error = 4.75635341809e-14
relative error = 2.5377711735838114778232028088461e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=854.5MB, alloc=4.6MB, time=42.38
TOP MAIN SOLVE Loop
x[1] = 6.416
y[1] (analytic) = 1877976.9009857880122290446544396
y[1] (numeric) = 1877976.9009857880121813858977441
absolute error = 4.76587566955e-14
relative error = 2.5377711872005963363433178372761e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.417
y[1] (analytic) = 1881736.6132467831135833207506308
y[1] (numeric) = 1881736.613246783113535566580785
absolute error = 4.77541698458e-14
relative error = 2.5377712007954223301843269175048e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.418
y[1] (analytic) = 1885503.8524567401845555778682842
y[1] (numeric) = 1885503.8524567401845077280942709
absolute error = 4.78497740133e-14
relative error = 2.5377712143602122469666976286687e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.419
y[1] (analytic) = 1889278.633684621087960382903986
y[1] (numeric) = 1889278.6336846210879124373344055
absolute error = 4.79455695805e-14
relative error = 2.5377712278994415012583946008208e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.42
y[1] (analytic) = 1893060.9720295557683636577237602
y[1] (numeric) = 1893060.9720295557683156161668298
absolute error = 4.80415569304e-14
relative error = 2.5377712414035200029622318236331e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.421
y[1] (analytic) = 1896850.8826209026486225896027007
y[1] (numeric) = 1896850.8826209026485744518662535
absolute error = 4.81377364472e-14
relative error = 2.5377712548857549605964027541106e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.422
y[1] (analytic) = 1900648.3806183091473394951343062
y[1] (numeric) = 1900648.3806183091472912610257907
absolute error = 4.82341085155e-14
relative error = 2.5377712683399508176941470396045e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.423
y[1] (analytic) = 1904453.4812117723174717075056672
y[1] (numeric) = 1904453.4812117723174233768321464
absolute error = 4.83306735208e-14
relative error = 2.5377712817667770034899077795183e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.424
y[1] (analytic) = 1908266.1996216996063400416589028
y[1] (numeric) = 1908266.1996216996062916142270533
absolute error = 4.84274318495e-14
relative error = 2.5377712951736187959432087241206e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.425
y[1] (analytic) = 1912086.5510989697372788774537226
y[1] (numeric) = 1912086.5510989697372303530698341
absolute error = 4.85243838885e-14
relative error = 2.5377713085535098459664789930621e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.426
y[1] (analytic) = 1915914.5509249937131713875126221
y[1] (numeric) = 1915914.5509249937131227659825966
absolute error = 4.86215300255e-14
relative error = 2.5377713219008527712131366520626e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.427
y[1] (analytic) = 1919750.2144117759421139239709606
y[1] (numeric) = 1919750.2144117759420652051003113
absolute error = 4.87188706493e-14
relative error = 2.5377713352269519880190054107975e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.428
y[1] (analytic) = 1923593.5569019754854540668709687
y[1] (numeric) = 1923593.5569019754854052504648197
absolute error = 4.88164061490e-14
relative error = 2.5377713485181754559531788982276e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.429
y[1] (analytic) = 1927444.5937689674284473264335452
y[1] (numeric) = 1927444.5937689674283984122966302
absolute error = 4.89141369150e-14
relative error = 2.5377713617880047055332439991506e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.43
y[1] (analytic) = 1931303.3404169043737779819164776
y[1] (numeric) = 1931303.3404169043737289698531395
absolute error = 4.90120633381e-14
relative error = 2.5377713750300830599202480164706e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.431
y[1] (analytic) = 1935169.8122807780581900312244346
y[1] (numeric) = 1935169.8122807780581409210386246
absolute error = 4.91101858100e-14
relative error = 2.5377713882441700043833580182493e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.432
y[1] (analytic) = 1939044.0248264810924747178766842
y[1] (numeric) = 1939044.024826481092425509371961
absolute error = 4.92085047232e-14
relative error = 2.5377714014308423560033320810943e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.433
y[1] (analytic) = 1942925.993550868825061595364965
y[1] (numeric) = 1942925.993550868825012288344494
absolute error = 4.93070204710e-14
relative error = 2.5377714145914053055592271072923e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.434
y[1] (analytic) = 1946815.733981821329460583348253
y[1] (numeric) = 1946815.7339818213294111776148054
absolute error = 4.94057334476e-14
relative error = 2.5377714277329409084635547471651e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.435
y[1] (analytic) = 1950713.2616783055158029655352985
y[1] (numeric) = 1950713.2616783055157534608912509
absolute error = 4.95046440476e-14
relative error = 2.5377714408425378689365803790691e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.436
y[1] (analytic) = 1954618.592230437366729775501741
y[1] (numeric) = 1954618.5922304373666801717490742
absolute error = 4.96037526668e-14
relative error = 2.5377714539283388893472470344173e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.437
y[1] (analytic) = 1958531.741259544297876514078325
y[1] (numeric) = 1958531.7412595442978268110186233
absolute error = 4.97030597017e-14
relative error = 2.5377714669937207244005874055322e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.438
y[1] (analytic) = 1962452.7244182276432036403322342
y[1] (numeric) = 1962452.724418227643153837766685
absolute error = 4.98025655492e-14
relative error = 2.5377714800219736732475781847693e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.439
y[1] (analytic) = 1966381.5573904252654227775468236
y[1] (numeric) = 1966381.5573904252653728752762159
absolute error = 4.99022706077e-14
relative error = 2.5377714930323616187427869347146e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.44
y[1] (analytic) = 1970318.2558914742917690759880496
y[1] (numeric) = 1970318.2558914742917190738127739
absolute error = 5.00021752757e-14
relative error = 2.5377715060086280041135877217574e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.441
y[1] (analytic) = 1974262.8356681739753706756307026
y[1] (numeric) = 1974262.8356681739753205733507495
absolute error = 5.01022799531e-14
relative error = 2.5377715189651164737599896019004e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.442
y[1] (analytic) = 1978215.312498848682466714406103
y[1] (numeric) = 1978215.3124988486824165118210628
absolute error = 5.02025850402e-14
relative error = 2.5377715318958344079950319942461e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.443
y[1] (analytic) = 1982175.7021934110057258309272798
y[1] (numeric) = 1982175.7021934110056755278363417
absolute error = 5.03030909381e-14
relative error = 2.5377715447947545536096229119629e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=858.3MB, alloc=4.6MB, time=42.57
x[1] = 6.444
y[1] (analytic) = 1986144.0205934250039176150497928
y[1] (numeric) = 1986144.0205934250038672112517438
absolute error = 5.04037980490e-14
relative error = 2.5377715576708394507298468978515e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.445
y[1] (analytic) = 1990120.28357216956818996503832
y[1] (numeric) = 1990120.2835721695681394603315442
absolute error = 5.05047067758e-14
relative error = 2.5377715705277118349566560915864e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.446
y[1] (analytic) = 1994104.5070347019152058165329267
y[1] (numeric) = 1994104.5070347019151552107154049
absolute error = 5.06058175218e-14
relative error = 2.5377715833485824751224569229325e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.447
y[1] (analytic) = 1998096.7069179212073932159465924
y[1] (numeric) = 1998096.7069179212073425088159007
absolute error = 5.07071306917e-14
relative error = 2.5377715961464207690741614377635e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.448
y[1] (analytic) = 2002096.8991906323005632193791122
y[1] (numeric) = 2002096.8991906323005124107324214
absolute error = 5.08086466908e-14
relative error = 2.5377716089236192158383977371387e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.449
y[1] (analytic) = 2006105.0998536096191506076039674
y[1] (numeric) = 2006105.0998536096190996972380425
absolute error = 5.09103659249e-14
relative error = 2.5377716216670329755926631705791e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.45
y[1] (analytic) = 2010121.3249396611593329181761937
y[1] (numeric) = 2010121.3249396611592819058873925
absolute error = 5.10122888012e-14
relative error = 2.5377716343928276062128083996888e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.451
y[1] (analytic) = 2014145.5905136926202838072227086
y[1] (numeric) = 2014145.5905136926202326928069814
absolute error = 5.11144157272e-14
relative error = 2.5377716470914922455648392555557e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.452
y[1] (analytic) = 2018177.9126727716638172660140584
y[1] (numeric) = 2018177.9126727716637660492669469
absolute error = 5.12167471115e-14
relative error = 2.5377716597676543880784532314089e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.453
y[1] (analytic) = 2022218.3075461923026797309801267
y[1] (numeric) = 2022218.3075461923026284116967635
absolute error = 5.13192833632e-14
relative error = 2.5377716724101878316992645016771e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.454
y[1] (analytic) = 2026266.7912955394177476404240986
y[1] (numeric) = 2026266.7912955394176962183992059
absolute error = 5.14220248927e-14
relative error = 2.5377716850317705442912044488024e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.455
y[1] (analytic) = 2030323.3801147534043885068109277
y[1] (numeric) = 2030323.3801147534043369818388168
absolute error = 5.15249721109e-14
relative error = 2.5377716976291639108919945168748e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.456
y[1] (analytic) = 2034388.0902301949482440901607922
y[1] (numeric) = 2034388.0902301949481924620353626
absolute error = 5.16281254296e-14
relative error = 2.5377717102029523641747800471467e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.457
y[1] (analytic) = 2038460.9379007099306947757666004
y[1] (numeric) = 2038460.9379007099306430442813392
absolute error = 5.17314852612e-14
relative error = 2.5377717227427075329279435664166e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.458
y[1] (analytic) = 2042541.9394176944642647781795981
y[1] (numeric) = 2042541.9394176944642129431275786
absolute error = 5.18350520195e-14
relative error = 2.5377717352661843163317757777336e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.459
y[1] (analytic) = 2046631.1111051600582283131706054
y[1] (numeric) = 2046631.1111051600581763743444869
absolute error = 5.19388261185e-14
relative error = 2.5377717477603260059283619641574e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.46
y[1] (analytic) = 2050728.4693197989146774001784618
y[1] (numeric) = 2050728.4693197989146253573704884
absolute error = 5.20428079734e-14
relative error = 2.5377717602302537427637424678696e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.461
y[1] (analytic) = 2054834.0304510493553124796039476
y[1] (numeric) = 2054834.0304510493552603326059473
absolute error = 5.21469980003e-14
relative error = 2.5377717726844049190680819239974e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.462
y[1] (analytic) = 2058947.8109211613792175521988876
y[1] (numeric) = 2058947.810921161379165300802272
absolute error = 5.22513966156e-14
relative error = 2.5377717851052779440257073231878e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.463
y[1] (analytic) = 2063069.8271852623518820717384068
y[1] (numeric) = 2063069.8271852623518297157341697
absolute error = 5.23560042371e-14
relative error = 2.5377717975029288372480349852563e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.464
y[1] (analytic) = 2067200.0957314228257323471514905
y[1] (numeric) = 2067200.0957314228256798863302073
absolute error = 5.24608212832e-14
relative error = 2.5377718098759161346481384354024e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.465
y[1] (analytic) = 2071338.6330807224924357363232218
y[1] (numeric) = 2071338.6330807224923831704750486
absolute error = 5.25658481732e-14
relative error = 2.5377718222258179323384210865393e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.466
y[1] (analytic) = 2075485.4557873162672414408734053
y[1] (numeric) = 2075485.4557873162671887697880782
absolute error = 5.26710853271e-14
relative error = 2.5377718345474846761157431875736e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.467
y[1] (analytic) = 2079640.5804385005056222393628706
y[1] (numeric) = 2079640.5804385005055694628297047
absolute error = 5.27765331659e-14
relative error = 2.5377718468434510746108168896904e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.468
y[1] (analytic) = 2083804.023654779352482025582676
y[1] (numeric) = 2083804.0236547793524291433905644
absolute error = 5.28821921116e-14
relative error = 2.5377718591237787361426098524546e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.469
y[1] (analytic) = 2087975.802089931224194548844831
y[1] (numeric) = 2087975.8020899312241415607822445
absolute error = 5.29880625865e-14
relative error = 2.5377718713723747785468785764972e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.47
y[1] (analytic) = 2092155.9324310754237392845181436
y[1] (numeric) = 2092155.9324310754236861903731294
absolute error = 5.30941450142e-14
relative error = 2.5377718835949694928980352412160e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.471
y[1] (analytic) = 2096344.4313987388892008954414918
y[1] (numeric) = 2096344.4313987388891476950016728
absolute error = 5.32004398190e-14
relative error = 2.5377718957901969178972986707909e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.472
y[1] (analytic) = 2100541.3157469230758992783013652
y[1] (numeric) = 2100541.315746923075845971353939
absolute error = 5.33069474262e-14
relative error = 2.5377719079638667333581336675512e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=862.1MB, alloc=4.6MB, time=42.75
TOP MAIN SOLVE Loop
x[1] = 6.473
y[1] (analytic) = 2104746.6022631709724177235830372
y[1] (numeric) = 2104746.6022631709723643099147753
absolute error = 5.34136682619e-14
relative error = 2.5377719201193094958648175475715e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.474
y[1] (analytic) = 2108960.3077686342507972532973626
y[1] (numeric) = 2108960.3077686342507437326946099
absolute error = 5.35206027527e-14
relative error = 2.5377719322430953519913879277712e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.475
y[1] (analytic) = 2113182.449118140551165737350086
y[1] (numeric) = 2113182.4491181405511121095987595
absolute error = 5.36277513265e-14
relative error = 2.5377719443429781314459401103004e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.476
y[1] (analytic) = 2117413.0432002609010709271598378
y[1] (numeric) = 2117413.0432002609010171920454258
absolute error = 5.37351144120e-14
relative error = 2.5377719564239897342003867691435e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.477
y[1] (analytic) = 2121652.1069373772697870839468452
y[1] (numeric) = 2121652.1069373772697332412544067
absolute error = 5.38426924385e-14
relative error = 2.5377719684789595947286747085520e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.478
y[1] (analytic) = 2125899.6572857502578654190089452
y[1] (numeric) = 2125899.6572857502578114685231089
absolute error = 5.39504858363e-14
relative error = 2.5377719805073711445480437333508e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.479
y[1] (analytic) = 2130155.7112355869221991042769114
y[1] (numeric) = 2130155.7112355869221450457818748
absolute error = 5.40584950366e-14
relative error = 2.5377719925105203293006396589507e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.48
y[1] (analytic) = 2134420.2858111087368741534995714
y[1] (numeric) = 2134420.2858111087368199867790999
absolute error = 5.41667204715e-14
relative error = 2.5377720044914167197218041725914e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.481
y[1] (analytic) = 2138693.3980706196900780175528536
y[1] (numeric) = 2138693.3980706196900237423902797
absolute error = 5.42751625739e-14
relative error = 2.5377720164500097861664763253644e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.482
y[1] (analytic) = 2142975.0651065745173382815979411
y[1] (numeric) = 2142975.0651065745172838977761636
absolute error = 5.43838217775e-14
relative error = 2.5377720283831385462063111506724e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.483
y[1] (analytic) = 2147265.3040456470713643971342984
y[1] (numeric) = 2147265.3040456470713099044357814
absolute error = 5.44926985170e-14
relative error = 2.5377720402937960099271167535661e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.484
y[1] (analytic) = 2151564.1320487988287659284056588
y[1] (numeric) = 2151564.1320487988287113266124309
absolute error = 5.46017932279e-14
relative error = 2.5377720521816914617438077424486e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.485
y[1] (analytic) = 2155871.5663113475339213401233012
y[1] (numeric) = 2155871.5663113475338666290169547
absolute error = 5.47111063465e-14
relative error = 2.5377720640432023426972920699421e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.486
y[1] (analytic) = 2160187.624063035980271902073292
y[1] (numeric) = 2160187.6240630359802170814349819
absolute error = 5.48206383101e-14
relative error = 2.5377720758805851993392438119124e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.487
y[1] (analytic) = 2164512.3225681009293158358750181
y[1] (numeric) = 2164512.3225681009292609054854612
absolute error = 5.49303895569e-14
relative error = 2.5377720876972163148477666522181e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.488
y[1] (analytic) = 2168845.6791253421675783799594914
y[1] (numeric) = 2168845.6791253421675233395989656
absolute error = 5.50403605258e-14
relative error = 2.5377720994882781349932104152076e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.489
y[1] (analytic) = 2173187.71106819170183400073976
y[1] (numeric) = 2173187.7110681917017788501881033
absolute error = 5.51505516567e-14
relative error = 2.5377721112545647930302906837209e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.49
y[1] (analytic) = 2177538.4357647830928575309545311
y[1] (numeric) = 2177538.4357647830928022699911407
absolute error = 5.52609633904e-14
relative error = 2.5377721229977530967466739233931e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.491
y[1] (analytic) = 2181897.8706180209279815702820038
y[1] (numeric) = 2181897.8706180209279261986858352
absolute error = 5.53715961686e-14
relative error = 2.5377721347203128761908464765070e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.492
y[1] (analytic) = 2186266.0330656504327380385461447
y[1] (numeric) = 2186266.033065650432682556095711
absolute error = 5.54824504337e-14
relative error = 2.5377721464162701741966966496102e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.493
y[1] (analytic) = 2190642.940580327221862328174435
y[1] (numeric) = 2190642.9405803272218067346478058
absolute error = 5.55935266292e-14
relative error = 2.5377721580894701780000590466019e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.494
y[1] (analytic) = 2195028.6106696871899390600166991
y[1] (numeric) = 2195028.6106696871898833551914997
absolute error = 5.57048251994e-14
relative error = 2.5377721697397313135437665657229e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.495
y[1] (analytic) = 2199423.0608764165419690052012268
y[1] (numeric) = 2199423.0608764165419131888546372
absolute error = 5.58163465896e-14
relative error = 2.5377721813718978105544197772439e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.496
y[1] (analytic) = 2203826.3087783219641372953892495
y[1] (numeric) = 2203826.3087783219640813672980039
absolute error = 5.59280912456e-14
relative error = 2.5377721929730208857422474167757e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.497
y[1] (analytic) = 2208238.3719884009350636045941739
y[1] (numeric) = 2208238.3719884009350075645345593
absolute error = 5.60400596146e-14
relative error = 2.5377722045532119684560902243050e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.498
y[1] (analytic) = 2212659.268154912177815547660047
y[1] (numeric) = 2212659.2681549121777593954079025
absolute error = 5.61522521445e-14
relative error = 2.5377722161136959019584748354159e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.499
y[1] (analytic) = 2217089.0149614462529671035467836
y[1] (numeric) = 2217089.0149614462529108388774997
absolute error = 5.62646692839e-14
relative error = 2.5377722276468185146331644026159e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.5
y[1] (analytic) = 2221527.630126996292984435749974
y[1] (numeric) = 2221527.6301269962929280584384913
absolute error = 5.63773114827e-14
relative error = 2.5377722391630629114378739954546e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.501
y[1] (analytic) = 2225975.1314060288782220474928638
y[1] (numeric) = 2225975.1314060288781655573136725
absolute error = 5.64901791913e-14
relative error = 2.5377722506548484794745764573871e-18 %
Correct digits = 19
h = 0.001
memory used=865.9MB, alloc=4.6MB, time=42.94
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.502
y[1] (analytic) = 2230431.5365885550548127757696308
y[1] (numeric) = 2230431.5365885550547561724967697
absolute error = 5.66032728611e-14
relative error = 2.5377722621190473102986928680007e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.503
y[1] (analytic) = 2234896.8635002014947356958946238
y[1] (numeric) = 2234896.8635002014946789793016792
absolute error = 5.67165929446e-14
relative error = 2.5377722735613336960801915723298e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.504
y[1] (analytic) = 2239371.130002281798346576924062
y[1] (numeric) = 2239371.1300022817982897467841668
absolute error = 5.68301398952e-14
relative error = 2.5377722849870844389228719440537e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.505
y[1] (analytic) = 2243854.3539918679396560981670869
y[1] (numeric) = 2243854.3539918679395991542529201
absolute error = 5.69439141668e-14
relative error = 2.5377722963834743248461627828365e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.506
y[1] (analytic) = 2248346.5534018618546416079942938
y[1] (numeric) = 2248346.5534018618545845500780791
absolute error = 5.70579162147e-14
relative error = 2.5377723077596063607128500359872e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.507
y[1] (analytic) = 2252847.7462010671728787782862273
y[1] (numeric) = 2252847.7462010671728216061397325
absolute error = 5.71721464948e-14
relative error = 2.5377723191107018087792207254428e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.508
y[1] (analytic) = 2257357.9503942610927800811441034
y[1] (numeric) = 2257357.9503942610927227945386393
absolute error = 5.72866054641e-14
relative error = 2.5377723304403074876864571638207e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.509
y[1] (analytic) = 2261877.1840222664007275889124961
y[1] (numeric) = 2261877.1840222664006701876189157
absolute error = 5.74012935804e-14
relative error = 2.5377723417468686682164580803304e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.51
y[1] (analytic) = 2266405.4651620236343881741412161
y[1] (numeric) = 2266405.4651620236343306579299136
absolute error = 5.75162113025e-14
relative error = 2.5377723530325236398562258125949e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.511
y[1] (analytic) = 2270942.8119266633904997628433981
y[1] (numeric) = 2270942.8119266633904421314843081
absolute error = 5.76313590900e-14
relative error = 2.5377723642941791617783529679569e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.512
y[1] (analytic) = 2275489.242465578777417872291221
y[1] (numeric) = 2275489.2424655787773601255538174
absolute error = 5.77467374036e-14
relative error = 2.5377723755366658156377210654089e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.513
y[1] (analytic) = 2280044.7749644980127122436320141
y[1] (numeric) = 2280044.7749644980126543812853095
absolute error = 5.78623467046e-14
relative error = 2.5377723867506487731205369288290e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.514
y[1] (analytic) = 2284609.4276455571661039598080786
y[1] (numeric) = 2284609.427645557166045981620623
absolute error = 5.79781874556e-14
relative error = 2.5377723979433281234407050954474e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.515
y[1] (analytic) = 2289183.2187673730480340206256852
y[1] (numeric) = 2289183.2187673730479759263655651
absolute error = 5.80942601201e-14
relative error = 2.5377724091207197777021243474038e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.516
y[1] (analytic) = 2293766.1666251162441549293447326
y[1] (numeric) = 2293766.1666251162440967187795705
absolute error = 5.82105651621e-14
relative error = 2.5377724202701476398535213305158e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.517
y[1] (analytic) = 2298358.2895505842960374288527945
y[1] (numeric) = 2298358.2895505842959791017497476
absolute error = 5.83271030469e-14
relative error = 2.5377724313951567506701751720930e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.518
y[1] (analytic) = 2302959.6059122750283851103480722
y[1] (numeric) = 2302959.6059122750283266664738314
absolute error = 5.84438742408e-14
relative error = 2.5377724425022442254176292121868e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.519
y[1] (analytic) = 2307570.1341154600230502034874574
y[1] (numeric) = 2307570.1341154600229916426082467
absolute error = 5.85608792107e-14
relative error = 2.5377724535834145676341499634174e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.52
y[1] (analytic) = 2312189.8926022582401444441608326
y[1] (numeric) = 2312189.8926022582400857660424078
absolute error = 5.86781184248e-14
relative error = 2.5377724646465177184309564496310e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.521
y[1] (analytic) = 2316818.8998517097865395044332394
y[1] (numeric) = 2316818.8998517097864807088408876
absolute error = 5.87955923518e-14
relative error = 2.5377724756804801713819015802463e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.522
y[1] (analytic) = 2321457.1743798498320520587549952
y[1] (numeric) = 2321457.1743798498319931454535333
absolute error = 5.89133014619e-14
relative error = 2.5377724866984892942682574469926e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.523
y[1] (analytic) = 2326104.7347397826736091512785751
y[1] (numeric) = 2326104.7347397826735501200323493
absolute error = 5.90312462258e-14
relative error = 2.5377724976946802760101582450197e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.524
y[1] (analytic) = 2330761.5995217559476901210424832
y[1] (numeric) = 2330761.5995217559476309716153679
absolute error = 5.91494271153e-14
relative error = 2.5377725086699877878488054676432e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.525
y[1] (analytic) = 2335427.787353234991341934888762
y[1] (numeric) = 2335427.787353234991282667044159
absolute error = 5.92678446030e-14
relative error = 2.5377725196191518748956841969117e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.526
y[1] (analytic) = 2340103.3168989773520653722746213
y[1] (numeric) = 2340103.3168989773520059857754585
absolute error = 5.93864991628e-14
relative error = 2.5377725305520655782618723597972e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.527
y[1] (analytic) = 2344788.20686110744687010162227
y[1] (numeric) = 2344788.2068611074468105962310009
absolute error = 5.95053912691e-14
relative error = 2.5377725414594247434929419980311e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.528
y[1] (analytic) = 2349482.4759791913707972845268048
y[1] (numeric) = 2349482.4759791913707376600054072
absolute error = 5.96245213976e-14
relative error = 2.5377725523468886549986828882979e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.529
y[1] (analytic) = 2354186.1430303118552089420123142
y[1] (numeric) = 2354186.1430303118551491981222895
absolute error = 5.97438900247e-14
relative error = 2.5377725632093636044780559774224e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=869.7MB, alloc=4.6MB, time=43.12
x[1] = 6.53
y[1] (analytic) = 2358899.2268291433761439160936096
y[1] (numeric) = 2358899.2268291433760840525959815
absolute error = 5.98634976281e-14
relative error = 2.5377725740564648775976945364581e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.531
y[1] (analytic) = 2363621.7462280274130408601675724
y[1] (numeric) = 2363621.7462280274129808768228865
absolute error = 5.99833446859e-14
relative error = 2.5377725848742120527880422886034e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.532
y[1] (analytic) = 2368353.720117047858129293226426
y[1] (numeric) = 2368353.7201170478580691897947482
absolute error = 6.01034316778e-14
relative error = 2.5377725956758516431645711671867e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.533
y[1] (analytic) = 2373095.1674241065767903555576917
y[1] (numeric) = 2373095.1674241065767301317986078
absolute error = 6.02237590839e-14
relative error = 2.5377726064509379817913364352184e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.534
y[1] (analytic) = 2377846.1071149991191895074746032
y[1] (numeric) = 2377846.1071149991191291631472174
absolute error = 6.03443273858e-14
relative error = 2.5377726172117489285093577996498e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.535
y[1] (analytic) = 2382606.5581934905834840177087187
y[1] (numeric) = 2382606.5581934905834235525716533
absolute error = 6.04651370654e-14
relative error = 2.5377726279426134667214387551243e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.536
y[1] (analytic) = 2387376.5397013916309086943958394
y[1] (numeric) = 2387376.5397013916308481082072332
absolute error = 6.05861886062e-14
relative error = 2.5377726386545626978277914155934e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.537
y[1] (analytic) = 2392156.0707186346530439190995084
y[1] (numeric) = 2392156.0707186346529832116170161
absolute error = 6.07074824923e-14
relative error = 2.5377726493431796164683003934967e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.538
y[1] (analytic) = 2396945.1703633500915706530457845
y[1] (numeric) = 2396945.1703633500915098240265755
absolute error = 6.08290192090e-14
relative error = 2.5377726600137040563170332644466e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.539
y[1] (analytic) = 2401743.8577919429108176946910746
y[1] (numeric) = 2401743.8577919429107567438918322
absolute error = 6.09507992424e-14
relative error = 2.5377726706642010260799421154197e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.54
y[1] (analytic) = 2406552.1521991692234070789140192
y[1] (numeric) = 2406552.1521991692233460060909397
absolute error = 6.10728230795e-14
relative error = 2.5377726812897066964887568878397e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.541
y[1] (analytic) = 2411370.0728182130693041205151944
y[1] (numeric) = 2411370.0728182130692429254239859
absolute error = 6.11950912085e-14
relative error = 2.5377726918946189925876809302060e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.542
y[1] (analytic) = 2416197.6389207633485792183271768
y[1] (numeric) = 2416197.6389207633485179007230583
absolute error = 6.13176041185e-14
relative error = 2.5377727024801072620415681717995e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.543
y[1] (analytic) = 2421034.869817090908189151084765
y[1] (numeric) = 2421034.8698170909081277107224655
absolute error = 6.14403622995e-14
relative error = 2.5377727130440635504623044766167e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.544
y[1] (analytic) = 2425881.7848561257830862122833236
y[1] (numeric) = 2425881.7848561257830246489170812
absolute error = 6.15633662424e-14
relative error = 2.5377727235810544920309851248663e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.545
y[1] (analytic) = 2430738.4034255345919641485647771
y[1] (numeric) = 2430738.4034255345919024619483376
absolute error = 6.16866164395e-14
relative error = 2.5377727341028436925945110507308e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.546
y[1] (analytic) = 2435604.7449517980879504847182008
y[1] (numeric) = 2435604.7449517980878886746048171
absolute error = 6.18101133837e-14
relative error = 2.5377727446052932938579577921935e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.547
y[1] (analytic) = 2440480.8289002888645554381677114
y[1] (numeric) = 2440480.8289002888644935043101425
absolute error = 6.19338575689e-14
relative error = 2.5377727550848317698093183845225e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.548
y[1] (analytic) = 2445366.6747753492171882468469221
y[1] (numeric) = 2445366.674775349217126188997432
absolute error = 6.20578494901e-14
relative error = 2.5377727655424569971198534726203e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.549
y[1] (analytic) = 2450262.3021203691605523566290888
y[1] (numeric) = 2450262.3021203691604901745394455
absolute error = 6.21820896433e-14
relative error = 2.5377727759795287505846467253704e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.55
y[1] (analytic) = 2455167.7305178646022315379977208
y[1] (numeric) = 2455167.7305178646021692314191954
absolute error = 6.23065785254e-14
relative error = 2.5377727863936112036713070878608e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.551
y[1] (analytic) = 2460082.9795895556727796264063544
y[1] (numeric) = 2460082.9795895556727171950897199
absolute error = 6.24313166345e-14
relative error = 2.5377727967906247000728787717623e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.552
y[1] (analytic) = 2465008.0689964452126272067908902
y[1] (numeric) = 2465008.0689964452125646504864207
absolute error = 6.25563044695e-14
relative error = 2.5377728071684544423817626040549e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.553
y[1] (analytic) = 2469943.0184388974161191899658822
y[1] (numeric) = 2469943.0184388974160565084233519
absolute error = 6.26815425303e-14
relative error = 2.5377728175250470768920144647386e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.554
y[1] (analytic) = 2474887.8476567166329978571599422
y[1] (numeric) = 2474887.8476567166329350501286245
absolute error = 6.28070313177e-14
relative error = 2.5377728278542887738290634965950e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.555
y[1] (analytic) = 2479842.5764292263276465787275078
y[1] (numeric) = 2479842.5764292263275836459561738
absolute error = 6.29327713340e-14
relative error = 2.5377728381701601546625703322083e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.556
y[1] (analytic) = 2484807.2245753481964100441171248
y[1] (numeric) = 2484807.2245753481963469853540429
absolute error = 6.30587630819e-14
relative error = 2.5377728484621859618108149485743e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.557
y[1] (analytic) = 2489781.8119536814433074724826578
y[1] (numeric) = 2489781.8119536814432442874755923
absolute error = 6.31850070655e-14
relative error = 2.5377728587357621745009799384465e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.558
y[1] (analytic) = 2494766.3584625822144559068959688
y[1] (numeric) = 2494766.358462582214392595392179
absolute error = 6.33115037898e-14
relative error = 2.5377728689918751126896582557590e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=873.6MB, alloc=4.6MB, time=43.31
TOP MAIN SOLVE Loop
x[1] = 6.559
y[1] (analytic) = 2499760.884040243191521329960155
y[1] (numeric) = 2499760.8840402431914578917063945
absolute error = 6.34382537605e-14
relative error = 2.5377728792190637062484534238446e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.56
y[1] (analytic) = 2504765.4086647733445159747339333
y[1] (numeric) = 2504765.4086647733444524094764484
absolute error = 6.35652574849e-14
relative error = 2.5377728894293945106543296959531e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.561
y[1] (analytic) = 2509779.9523542778442608422627502
y[1] (numeric) = 2509779.9523542778441971497472792
absolute error = 6.36925154710e-14
relative error = 2.5377728996222866027173642283344e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.562
y[1] (analytic) = 2514804.5351669381348330756732394
y[1] (numeric) = 2514804.5351669381347692556450118
absolute error = 6.38200282276e-14
relative error = 2.5377729097885330971895973119068e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.563
y[1] (analytic) = 2519839.177201092166318480727286
y[1] (numeric) = 2519839.1772010921662545329310209
absolute error = 6.39477962651e-14
relative error = 2.5377729199420545979964640740121e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.564
y[1] (analytic) = 2524883.8985953147881901239527553
y[1] (numeric) = 2524883.8985953147881260481326611
absolute error = 6.40758200942e-14
relative error = 2.5377729300681002028640125144912e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.565
y[1] (analytic) = 2529938.7195284983036345819724726
y[1] (numeric) = 2529938.7195284983035703778722453
absolute error = 6.42041002273e-14
relative error = 2.5377729401787898824223513030001e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.566
y[1] (analytic) = 2535003.6602199331851480594438538
y[1] (numeric) = 2535003.6602199331850837268066765
absolute error = 6.43326371773e-14
relative error = 2.5377729502654286155411453873603e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.567
y[1] (analytic) = 2540078.7409293889517252381012827
y[1] (numeric) = 2540078.7409293889516607766698242
absolute error = 6.44614314585e-14
relative error = 2.5377729603340650174799183826086e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.568
y[1] (analytic) = 2545163.9819571952079643657644642
y[1] (numeric) = 2545163.9819571952078997752808782
absolute error = 6.45904835860e-14
relative error = 2.5377729703816894750598596119657e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.569
y[1] (analytic) = 2550259.4036443228454127418411648
y[1] (numeric) = 2550259.4036443228453480220470886
absolute error = 6.47197940762e-14
relative error = 2.5377729804158494430014990562897e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.57
y[1] (analytic) = 2555365.0263724654064774048145475
y[1] (numeric) = 2555365.0263724654064125554511015
absolute error = 6.48493634460e-14
relative error = 2.5377729904231566138585242639855e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.571
y[1] (analytic) = 2560480.8705641206112264774663401
y[1] (numeric) = 2560480.8705641206111614982741262
absolute error = 6.49791922139e-14
relative error = 2.5377730004123756424914508349037e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.572
y[1] (analytic) = 2565606.9566826720474072771499164
y[1] (numeric) = 2565606.9566826720473421678690172
absolute error = 6.51092808992e-14
relative error = 2.5377730103829408635057304342712e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.573
y[1] (analytic) = 2570743.3052324710240079512946538
y[1] (numeric) = 2570743.3052324710239427116646317
absolute error = 6.52396300221e-14
relative error = 2.5377730203288582744220737819427e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.574
y[1] (analytic) = 2575889.9367589185886900524972474
y[1] (numeric) = 2575889.9367589185886246822571433
absolute error = 6.53702401041e-14
relative error = 2.5377730302542075980469217034347e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.575
y[1] (analytic) = 2581046.8718485477094201230396362
y[1] (numeric) = 2581046.8718485477093546219279684
absolute error = 6.55011116678e-14
relative error = 2.5377730401652122882892300671174e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.576
y[1] (analytic) = 2586214.1311291056206290154694556
y[1] (numeric) = 2586214.1311291056205633832242192
absolute error = 6.56322452364e-14
relative error = 2.5377730500508038695569254966974e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.577
y[1] (analytic) = 2591391.735269636334228333990095
y[1] (numeric) = 2591391.7352696363341625703487603
absolute error = 6.57636413347e-14
relative error = 2.5377730599213029345481792622517e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.578
y[1] (analytic) = 2596579.704980563315814040836137
y[1] (numeric) = 2596579.704980563315748145535649
absolute error = 6.58953004880e-14
relative error = 2.5377730697657616844435242252683e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.579
y[1] (analytic) = 2601778.0610137723263879325588437
y[1] (numeric) = 2601778.0610137723263219053356204
absolute error = 6.60272232233e-14
relative error = 2.5377730795982174902539715877680e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.58
y[1] (analytic) = 2606986.8241626944299283532180455
y[1] (numeric) = 2606986.8241626944298621938079775
absolute error = 6.61594100680e-14
relative error = 2.5377730894074969263946427697865e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.581
y[1] (analytic) = 2612206.015262389167142174873967
y[1] (numeric) = 2612206.015262389167075883012416
absolute error = 6.62918615510e-14
relative error = 2.5377730991994962656516309405637e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.582
y[1] (analytic) = 2617435.6551896278957307404978061
y[1] (numeric) = 2617435.6551896278956643159196041
absolute error = 6.64245782020e-14
relative error = 2.5377731089701868623410053847417e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.583
y[1] (analytic) = 2622675.7648629772975031304759614
y[1] (numeric) = 2622675.7648629772974365729154095
absolute error = 6.65575605519e-14
relative error = 2.5377731187208848635740699534983e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.584
y[1] (analytic) = 2627926.3652428830526707812723147
y[1] (numeric) = 2627926.3652428830526040904631821
absolute error = 6.66908091326e-14
relative error = 2.5377731284505066090678161889423e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.585
y[1] (analytic) = 2633187.4773317536816581535386104
y[1] (numeric) = 2633187.4773317536815913292141331
absolute error = 6.68243244773e-14
relative error = 2.5377731381669047859443254422752e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.586
y[1] (analytic) = 2638459.122174044554764817027392
y[1] (numeric) = 2638459.1221740445546978589202722
absolute error = 6.69581071198e-14
relative error = 2.5377731478601677583188150424551e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.587
y[1] (analytic) = 2643741.3208563420700149910678499
y[1] (numeric) = 2643741.3208563420699478989102546
absolute error = 6.70921575953e-14
relative error = 2.5377731575329760632745004171296e-18 %
Correct digits = 19
h = 0.001
memory used=877.4MB, alloc=4.6MB, time=43.49
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.588
y[1] (analytic) = 2649034.0945074479995312521149779
y[1] (numeric) = 2649034.0945074479994640256385379
absolute error = 6.72264764400e-14
relative error = 2.5377731671852963637423579100208e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.589
y[1] (analytic) = 2654337.4642984640047697939793314
y[1] (numeric) = 2654337.4642984640047024329151401
absolute error = 6.73610641913e-14
relative error = 2.5377731768218624873571781884249e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.59
y[1] (analytic) = 2659651.451442876320955301791115
y[1] (numeric) = 2659651.4514428763208878058697276
absolute error = 6.74959213874e-14
relative error = 2.5377731864370074361942267014742e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.591
y[1] (analytic) = 2664976.077196640611054177551008
y[1] (numeric) = 2664976.0771966406109865465024402
absolute error = 6.76310485678e-14
relative error = 2.5377731960334481936946369196170e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.592
y[1] (analytic) = 2670311.3628582669896255332737685
y[1] (numeric) = 2670311.3628582669895577668274955
absolute error = 6.77664462730e-14
relative error = 2.5377732056108867466474887975806e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.593
y[1] (analytic) = 2675657.329768905216890047241954
y[1] (numeric) = 2675657.3297689052168221451269094
absolute error = 6.79021150446e-14
relative error = 2.5377732151696966930895775543008e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.594
y[1] (analytic) = 2681013.9993124300633574597587754
y[1] (numeric) = 2681013.9993124300632894217033502
absolute error = 6.80380554252e-14
relative error = 2.5377732247071058097141603066254e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.595
y[1] (analytic) = 2686381.3929155268453541670238872
y[1] (numeric) = 2686381.3929155268452859927559285
absolute error = 6.81742679587e-14
relative error = 2.5377732342283140995799117674485e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.596
y[1] (analytic) = 2691759.5320477771317930553565364
y[1] (numeric) = 2691759.5320477771317247446033466
absolute error = 6.83107531898e-14
relative error = 2.5377732437277582465986524465302e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.597
y[1] (analytic) = 2697148.4382217446225284029596835
y[1] (numeric) = 2697148.4382217446224599554480189
absolute error = 6.84475116646e-14
relative error = 2.5377732532113838474261847447690e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.598
y[1] (analytic) = 2702548.1329930611986393627592058
y[1] (numeric) = 2702548.1329930611985707782152758
absolute error = 6.85845439300e-14
relative error = 2.5377732626742485864794893131246e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.599
y[1] (analytic) = 2707958.6379605131449862275668497
y[1] (numeric) = 2707958.6379605131449175057163155
absolute error = 6.87218505342e-14
relative error = 2.5377732721190140590522529109743e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.6
y[1] (analytic) = 2713379.9747661275453843679069547
y[1] (numeric) = 2713379.9747661275453155084749283
absolute error = 6.88594320264e-14
relative error = 2.5377732815447328812149998515029e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.601
y[1] (analytic) = 2718812.1650952588507414233178948
y[1] (numeric) = 2718812.1650952588506724260289379
absolute error = 6.89972889569e-14
relative error = 2.5377732909504819112289713448260e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.602
y[1] (analytic) = 2724255.2306766756205040197924262
y[1] (numeric) = 2724255.2306766756204348843705491
absolute error = 6.91354218771e-14
relative error = 2.5377733003352812420945923578429e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.603
y[1] (analytic) = 2729709.1932826474377609792594672
y[1] (numeric) = 2729709.1932826474376917054281274
absolute error = 6.92738313398e-14
relative error = 2.5377733097090041841656903185017e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.604
y[1] (analytic) = 2735174.074729031998350681636033
y[1] (numeric) = 2735174.0747290319982812691181348
absolute error = 6.94125178982e-14
relative error = 2.5377733190556273332999697161701e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.605
y[1] (analytic) = 2740649.8968753623743209359948964
y[1] (numeric) = 2740649.896875362374251384512789
absolute error = 6.95514821074e-14
relative error = 2.5377733283881396260523360534802e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.606
y[1] (analytic) = 2746136.6816249344520904148038048
y[1] (numeric) = 2746136.6816249344520207240792817
absolute error = 6.96907245231e-14
relative error = 2.5377733377008331107443033501231e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.607
y[1] (analytic) = 2751634.4509248945456614039985801
y[1] (numeric) = 2751634.4509248945455915737528778
absolute error = 6.98302457023e-14
relative error = 2.5377733469948478342534124239510e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.608
y[1] (analytic) = 2757143.2267663271852343218579159
y[1] (numeric) = 2757143.2267663271851643518117128
absolute error = 6.99700462031e-14
relative error = 2.5377733562707689698838894304553e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.609
y[1] (analytic) = 2762663.0311843430815751612550003
y[1] (numeric) = 2762663.0311843430815050511284156
absolute error = 7.01101265847e-14
relative error = 2.5377733655285515121004631516237e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.61
y[1] (analytic) = 2768193.8862581672664877128730194
y[1] (numeric) = 2768193.886258167266417462385612
absolute error = 7.02504874074e-14
relative error = 2.5377733747674457456232494555727e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.611
y[1] (analytic) = 2773735.814111227409743131390954
y[1] (numeric) = 2773735.8141112274096727402617213
absolute error = 7.03911292327e-14
relative error = 2.5377733839895287302166202521538e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.612
y[1] (analytic) = 2779288.8369112423128201124756912
y[1] (numeric) = 2779288.8369112423127495804230681
absolute error = 7.05320526231e-14
relative error = 2.5377733931923992025757244719792e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.613
y[1] (analytic) = 2784852.9768703105798096556591498
y[1] (numeric) = 2784852.9768703105797389824010076
absolute error = 7.06732581422e-14
relative error = 2.5377734023727322827097299503369e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.614
y[1] (analytic) = 2790428.2562449994658390968377
y[1] (numeric) = 2790428.2562449994657682820913449
absolute error = 7.08147463551e-14
relative error = 2.5377734115405427107859334139516e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.615
y[1] (analytic) = 2796014.6973364339033708042084696
y[1] (numeric) = 2796014.697336433903299847690642
absolute error = 7.09565178276e-14
relative error = 2.5377734206903587610886097509674e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=881.2MB, alloc=4.6MB, time=43.67
x[1] = 6.616
y[1] (analytic) = 2801612.3224903857067316429560252
y[1] (numeric) = 2801612.3224903857066605443828985
absolute error = 7.10985731267e-14
relative error = 2.5377734298191426155118667565107e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.617
y[1] (analytic) = 2807221.1540973629552300269262248
y[1] (numeric) = 2807221.1540973629551587860134041
absolute error = 7.12409128207e-14
relative error = 2.5377734389297477053286452622652e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.618
y[1] (analytic) = 2812841.2145926995552180898746258
y[1] (numeric) = 2812841.2145926995551467063371469
absolute error = 7.13835374789e-14
relative error = 2.5377734480201138030232943766841e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.619
y[1] (analytic) = 2818472.5264566449814572246575508
y[1] (numeric) = 2818472.5264566449813856982098788
absolute error = 7.15264476720e-14
relative error = 2.5377734570974272774376898098182e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.62
y[1] (analytic) = 2824115.1122144541981459559476208
y[1] (numeric) = 2824115.1122144541980742863036495
absolute error = 7.16696439713e-14
relative error = 2.5377734661496205421816388933099e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.621
y[1] (analytic) = 2829768.9944364777599698307051454
y[1] (numeric) = 2829768.9944364777598980175781955
absolute error = 7.18131269499e-14
relative error = 2.5377734751878896013655089203779e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.622
y[1] (analytic) = 2835434.1957382520935337307250618
y[1] (numeric) = 2835434.1957382520934617738278802
absolute error = 7.19568971816e-14
relative error = 2.5377734842075865606076458753380e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.623
y[1] (analytic) = 2841110.7387805899595377331090514
y[1] (numeric) = 2841110.7387805899594656321538099
absolute error = 7.21009552415e-14
relative error = 2.5377734932094151592410513820184e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.624
y[1] (analytic) = 2846798.6462696710960583674868915
y[1] (numeric) = 2846798.6462696710959861221851856
absolute error = 7.22453017059e-14
relative error = 2.5377735021957839719005476399595e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.625
y[1] (analytic) = 2852497.9409571330432978432329274
y[1] (numeric) = 2852497.9409571330432254532957753
absolute error = 7.23899371521e-14
relative error = 2.5377735111636971475110819575455e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.626
y[1] (analytic) = 2858208.6456401621501645457956751
y[1] (numeric) = 2858208.6456401621500920109335165
absolute error = 7.25348621586e-14
relative error = 2.5377735201117248900961986947729e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.627
y[1] (analytic) = 2863930.7831615847630488285838814
y[1] (numeric) = 2863930.7831615847629761485065763
absolute error = 7.26800773051e-14
relative error = 2.5377735290399071301991369046261e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.628
y[1] (analytic) = 2869664.3764099585971588556337934
y[1] (numeric) = 2869664.3764099585970860300506208
absolute error = 7.28255831726e-14
relative error = 2.5377735379531428244185248554534e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.629
y[1] (analytic) = 2875409.4483196642907819805228371
y[1] (numeric) = 2875409.4483196642907090091424941
absolute error = 7.29713803430e-14
relative error = 2.5377735468471495468849258356355e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.63
y[1] (analytic) = 2881166.021870997142837878697294
y[1] (numeric) = 2881166.0218709971427647612278944
absolute error = 7.31174693996e-14
relative error = 2.5377735557258282978318101635376e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.631
y[1] (analytic) = 2886934.1200902590340903835488194
y[1] (numeric) = 2886934.1200902590340171196978928
absolute error = 7.32638509266e-14
relative error = 2.5377735645837817072599350726329e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.632
y[1] (analytic) = 2892713.766049850532385711209711
y[1] (numeric) = 2892713.7660498505323123006842014
absolute error = 7.34105255096e-14
relative error = 2.5377735734236107743162184082342e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.633
y[1] (analytic) = 2898504.9828683631822854951426325
y[1] (numeric) = 2898504.9828683631822119376488971
absolute error = 7.35574937354e-14
relative error = 2.5377735822488542668298660740988e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.634
y[1] (analytic) = 2904307.7937106719794637891799828
y[1] (numeric) = 2904307.7937106719793900844237911
absolute error = 7.37047561917e-14
relative error = 2.5377735910535689626251095892513e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.635
y[1] (analytic) = 2910122.2217880280302379367242244
y[1] (numeric) = 2910122.2217880280301640844107568
absolute error = 7.38523134676e-14
relative error = 2.5377735998395248393000815437508e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.636
y[1] (analytic) = 2915948.2903581513966039443561918
y[1] (numeric) = 2915948.2903581513965299441900383
absolute error = 7.40001661535e-14
relative error = 2.5377736086126180371363029824410e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.637
y[1] (analytic) = 2921786.022725324127147740116668
y[1] (numeric) = 2921786.0227253241270735918018274
absolute error = 7.41483148406e-14
relative error = 2.5377736173656359446043332116309e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.638
y[1] (analytic) = 2927635.4422404834742044402303052
y[1] (numeric) = 2927635.4422404834741301434701837
absolute error = 7.42967601215e-14
relative error = 2.5377736260988014714884573153484e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.639
y[1] (analytic) = 2933496.5723013152976384930332436
y[1] (numeric) = 2933496.5723013152975640475306535
absolute error = 7.44455025901e-14
relative error = 2.5377736348162093512363693851757e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.64
y[1] (analytic) = 2939369.4363523476556183153495442
y[1] (numeric) = 2939369.4363523476555437208067028
absolute error = 7.45945428414e-14
relative error = 2.5377736435189024691948128324177e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.641
y[1] (analytic) = 2945254.0578850445827597845397684
y[1] (numeric) = 2945254.0578850445826850406582969
absolute error = 7.47438814715e-14
relative error = 2.5377736522048213842238361759222e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.642
y[1] (analytic) = 2951150.4604379000560136989207095
y[1] (numeric) = 2951150.4604379000559388054016319
absolute error = 7.48935190776e-14
relative error = 2.5377736608687544760952251299680e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.643
y[1] (analytic) = 2957058.6675965321486730702314071
y[1] (numeric) = 2957058.6675965321485980267751487
absolute error = 7.50434562584e-14
relative error = 2.5377736695158156698410165318164e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.644
y[1] (analytic) = 2962978.702993777372876864300151
y[1] (numeric) = 2962978.7029937773728016706065373
absolute error = 7.51936936137e-14
relative error = 2.5377736781477607601022375974912e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=885.0MB, alloc=4.6MB, time=43.86
TOP MAIN SOLVE Loop
x[1] = 6.645
y[1] (analytic) = 2968910.5903097852109875600532288
y[1] (numeric) = 2968910.5903097852109122158214844
absolute error = 7.53442317444e-14
relative error = 2.5377736867629399519934564649763e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.646
y[1] (analytic) = 2974854.3532721128362206525016948
y[1] (numeric) = 2974854.3532721128361451574304422
absolute error = 7.54950712526e-14
relative error = 2.5377736953596125188417013177453e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.647
y[1] (analytic) = 2980810.0156558200229049823504656
y[1] (numeric) = 2980810.0156558200228293361377239
absolute error = 7.56462127417e-14
relative error = 2.5377737039392217659852829242551e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.648
y[1] (analytic) = 2986777.601283564246753533397609
y[1] (numeric) = 2986777.6012835642466777357407927
absolute error = 7.57976568163e-14
relative error = 2.5377737125029343986911690337477e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.649
y[1] (analytic) = 2992757.1340256959755250989338149
y[1] (numeric) = 2992757.1340256959754491495297328
absolute error = 7.59494040821e-14
relative error = 2.5377737210482210243311062018100e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.65
y[1] (analytic) = 2998748.6378003541504579799157696
y[1] (numeric) = 2998748.6378003541503818784606234
absolute error = 7.61014551462e-14
relative error = 2.5377737295788163996782392346660e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.651
y[1] (analytic) = 3004752.1365735618588576407755328
y[1] (numeric) = 3004752.1365735618587813869649161
absolute error = 7.62538106167e-14
relative error = 2.5377737380912639036460846582765e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.652
y[1] (analytic) = 3010767.6543593221982210133441062
y[1] (numeric) = 3010767.6543593221981446068730032
absolute error = 7.64064711030e-14
relative error = 2.5377737465848706632841842724956e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.653
y[1] (analytic) = 3016795.2152197143322809055142265
y[1] (numeric) = 3016795.2152197143322043460770107
absolute error = 7.65594372158e-14
relative error = 2.5377737550615992785995699260597e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.654
y[1] (analytic) = 3022834.8432649897393547389480928
y[1] (numeric) = 3022834.8432649897392780262385258
absolute error = 7.67127095670e-14
relative error = 2.5377737635226523660468596211573e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.655
y[1] (analytic) = 3028886.5626536686533826093533108
y[1] (numeric) = 3028886.5626536686533057430645412
absolute error = 7.68662887696e-14
relative error = 2.5377737719650977261953560823265e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.656
y[1] (analytic) = 3034950.3975926366980404336078824
y[1] (numeric) = 3034950.3975926366979634134324443
absolute error = 7.70201754381e-14
relative error = 2.5377737803950085864988565826913e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.657
y[1] (analytic) = 3041026.3723372417143147203156745
y[1] (numeric) = 3041026.3723372417142375459454868
absolute error = 7.71743701877e-14
relative error = 2.5377737888009860431824602716682e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.658
y[1] (analytic) = 3047114.5111913907819262742205544
y[1] (numeric) = 3047114.5111913907818489453469188
absolute error = 7.73288736356e-14
relative error = 2.5377737971969158754737958103143e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.659
y[1] (analytic) = 3053214.8385076474349909203033678
y[1] (numeric) = 3053214.8385076474349134366169684
absolute error = 7.74836863994e-14
relative error = 2.5377738055692318225972256219639e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.66
y[1] (analytic) = 3059327.3786873290723061103342815
y[1] (numeric) = 3059327.3786873290722284715251828
absolute error = 7.76388090987e-14
relative error = 2.5377738139294075505603378561504e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.661
y[1] (analytic) = 3065452.1561806045626530531567926
y[1] (numeric) = 3065452.1561806045625752589144388
absolute error = 7.77942423538e-14
relative error = 2.5377738222712181415355091245736e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.662
y[1] (analytic) = 3071589.1954865920455047900420695
y[1] (numeric) = 3071589.195486592045426840055283
absolute error = 7.79499867865e-14
relative error = 2.5377738305968807917822283022439e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.663
y[1] (analytic) = 3077738.5211534569275314180763247
y[1] (numeric) = 3077738.5211534569274533120333049
absolute error = 7.81060430198e-14
relative error = 2.5377738389071425031274441983370e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.664
y[1] (analytic) = 3083900.1577785100752944477327764
y[1] (numeric) = 3083900.1577785100752161853210985
absolute error = 7.82624116779e-14
relative error = 2.5377738472012138787070020852135e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.665
y[1] (analytic) = 3090074.1300083062045230655365518
y[1] (numeric) = 3090074.1300083062044446464431655
absolute error = 7.84190933863e-14
relative error = 2.5377738554799398069207792949266e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.666
y[1] (analytic) = 3096260.4625387424663658590587692
y[1] (numeric) = 3096260.4625387424662872829699976
absolute error = 7.85760887716e-14
relative error = 2.5377738637392429582916350628774e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.667
y[1] (analytic) = 3102459.1801151572310123493781469
y[1] (numeric) = 3102459.180115157230933615979685
absolute error = 7.87333984619e-14
relative error = 2.5377738719829851195550463375706e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.668
y[1] (analytic) = 3108670.3075324290690794656279802
y[1] (numeric) = 3108670.3075324290690005746048939
absolute error = 7.88910230863e-14
relative error = 2.5377738802067231941516244704604e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.669
y[1] (analytic) = 3114893.8696350759311588873063602
y[1] (numeric) = 3114893.8696350759310798383430847
absolute error = 7.90489632755e-14
relative error = 2.5377738884169735045129655999003e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.67
y[1] (analytic) = 3121129.8913173545259219726712426
y[1] (numeric) = 3121129.8913173545258427654515814
absolute error = 7.92072196612e-14
relative error = 2.5377738966117978741127648883857e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.671
y[1] (analytic) = 3127378.3975233598971797857725845
y[1] (numeric) = 3127378.3975233598971004199797081
absolute error = 7.93657928764e-14
relative error = 2.5377739047903997240930461513616e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.672
y[1] (analytic) = 3133639.413247125200296530494427
y[1] (numeric) = 3133639.4132471252002170058108717
absolute error = 7.95246835553e-14
relative error = 2.5377739129498407650564486494785e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.673
y[1] (analytic) = 3139912.9635327216783554973936948
y[1] (numeric) = 3139912.9635327216782758135013611
absolute error = 7.96838923337e-14
relative error = 2.5377739210977208279597814265328e-18 %
Correct digits = 19
memory used=888.8MB, alloc=4.6MB, time=44.04
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.674
y[1] (analytic) = 3146199.073474358838477428132801
y[1] (numeric) = 3146199.0734743588383975847129528
absolute error = 7.98434198482e-14
relative error = 2.5377739292265643950286002790200e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.675
y[1] (analytic) = 3152497.7682164848286920029130848
y[1] (numeric) = 3152497.7682164848286119996463479
absolute error = 8.00032667369e-14
relative error = 2.5377739373360947115242385163829e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.676
y[1] (analytic) = 3158809.0729538870157639585288666
y[1] (numeric) = 3158809.0729538870156837950952272
absolute error = 8.01634336394e-14
relative error = 2.5377739454330813649465519467743e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.677
y[1] (analytic) = 3165133.0129317927643761484806961
y[1] (numeric) = 3165133.0129317927642958245594998
absolute error = 8.03239211963e-14
relative error = 2.5377739535153919757265814323475e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.678
y[1] (analytic) = 3171469.6134459704180726620144076
y[1] (numeric) = 3171469.6134459704179921772843581
absolute error = 8.04847300495e-14
relative error = 2.5377739615814593918291472041975e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.679
y[1] (analytic) = 3177818.8998428304823659259930987
y[1] (numeric) = 3177818.8998428304822852801322565
absolute error = 8.06458608422e-14
relative error = 2.5377739696301953238024630595503e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.68
y[1] (analytic) = 3184180.8975195270104125221653512
y[1] (numeric) = 3184180.8975195270103317148511322
absolute error = 8.08073142190e-14
relative error = 2.5377739776640453453111410085845e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.681
y[1] (analytic) = 3190555.6319240591916632626681436
y[1] (numeric) = 3190555.6319240591915822935773181
absolute error = 8.09690908255e-14
relative error = 2.5377739856763358288460662108628e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.682
y[1] (analytic) = 3196943.1285553731438938785002105
y[1] (numeric) = 3196943.1285553731438127473089014
absolute error = 8.11311913091e-14
relative error = 2.5377739936763080505571837191548e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.683
y[1] (analytic) = 3203343.4129634639090234892243226
y[1] (numeric) = 3203343.4129634639089421956080044
absolute error = 8.12936163182e-14
relative error = 2.5377740016639047565652356838945e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.684
y[1] (analytic) = 3209756.5107494776531288373083632
y[1] (numeric) = 3209756.5107494776530473809418611
absolute error = 8.14563665021e-14
relative error = 2.5377740096266663825829102222877e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.685
y[1] (analytic) = 3216182.447565814071063087298405
y[1] (numeric) = 3216182.4475658140709814678558927
absolute error = 8.16194425123e-14
relative error = 2.5377740175801947443670079628369e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.686
y[1] (analytic) = 3222621.2491162289960888084355206
y[1] (numeric) = 3222621.2491162289960070255905197
absolute error = 8.17828450009e-14
relative error = 2.5377740255181433741963674599112e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.687
y[1] (analytic) = 3229072.9411559372149355793850742
y[1] (numeric) = 3229072.9411559372148536328104528
absolute error = 8.19465746214e-14
relative error = 2.5377740334371302717159593551632e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.688
y[1] (analytic) = 3235537.5494917154886934754459971
y[1] (numeric) = 3235537.5494917154886113648139682
absolute error = 8.21106320289e-14
relative error = 2.5377740413428090916176551740783e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.689
y[1] (analytic) = 3242015.0999820057799545219513581
y[1] (numeric) = 3242015.0999820057798722469334786
absolute error = 8.22750178795e-14
relative error = 2.5377740492311912010118552183752e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.69
y[1] (analytic) = 3248505.6185370186866150225636788
y[1] (numeric) = 3248505.6185370186865325828308479
absolute error = 8.24397328309e-14
relative error = 2.5377740571071310084853457187260e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.691
y[1] (analytic) = 3255009.1311188370827524978122182
y[1] (numeric) = 3255009.1311188370826698930346764
absolute error = 8.26047775418e-14
relative error = 2.5377740649657238498955613270351e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.692
y[1] (analytic) = 3261525.6637415199669917975181692
y[1] (numeric) = 3261525.6637415199669090273654969
absolute error = 8.27701526723e-14
relative error = 2.5377740728045866837937259335026e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.693
y[1] (analytic) = 3268055.2424712065187757807106811
y[1] (numeric) = 3268055.2424712065186928448517969
absolute error = 8.29358588842e-14
relative error = 2.5377740806329320641347802119273e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.694
y[1] (analytic) = 3274597.8934262203629567882551682
y[1] (numeric) = 3274597.8934262203628736863583281
absolute error = 8.31018968401e-14
relative error = 2.5377740884438873017136928498852e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.695
y[1] (analytic) = 3281153.6427771740431259666988168
y[1] (numeric) = 3281153.6427771740430426984316127
absolute error = 8.32682672041e-14
relative error = 2.5377740962359079450531848381276e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.696
y[1] (analytic) = 3287722.5167470737040983367898823
y[1] (numeric) = 3287722.5167470737040149018192404
absolute error = 8.34349706419e-14
relative error = 2.5377741040156856412599280002768e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.697
y[1] (analytic) = 3294304.5416114239839723367506266
y[1] (numeric) = 3294304.5416114239838887347428063
absolute error = 8.36020078203e-14
relative error = 2.5377741117828074056471689243991e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.698
y[1] (analytic) = 3300899.7436983331161834086819264
y[1] (numeric) = 3300899.7436983331160996393025192
absolute error = 8.37693794072e-14
relative error = 2.5377741195297455270028740600714e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.699
y[1] (analytic) = 3307508.149388618241972036454034
y[1] (numeric) = 3307508.1493886182418880993679617
absolute error = 8.39370860723e-14
relative error = 2.5377741272630118258072745979162e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.7
y[1] (analytic) = 3314129.785115910933687485096057
y[1] (numeric) = 3314129.7851159109336033799675707
absolute error = 8.41051284863e-14
relative error = 2.5377741349787978295867063375725e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.701
y[1] (analytic) = 3320764.6773667629293493350398146
y[1] (numeric) = 3320764.6773667629292650615324931
absolute error = 8.42735073215e-14
relative error = 2.5377741426810649375632633180668e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=892.6MB, alloc=4.6MB, time=44.23
x[1] = 6.702
y[1] (analytic) = 3327412.8526807520788897496051852
y[1] (numeric) = 3327412.8526807520788053073819338
absolute error = 8.44422232514e-14
relative error = 2.5377741503693647966301077744391e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.703
y[1] (analytic) = 3334074.3376505885025002608372776
y[1] (numeric) = 3334074.3376505885024156495603269
absolute error = 8.46112769507e-14
relative error = 2.5377741580388023936365145501338e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.704
y[1] (analytic) = 3340749.1589222209615077072241143
y[1] (numeric) = 3340749.1589222209614229265550185
absolute error = 8.47806690958e-14
relative error = 2.5377741656949663949667209887768e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.705
y[1] (analytic) = 3347437.3431949434422048069404036
y[1] (numeric) = 3347437.3431949434421198565400394
absolute error = 8.49504003642e-14
relative error = 2.5377741733358196473676182360061e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.706
y[1] (analytic) = 3354138.9172215019530617020818076
y[1] (numeric) = 3354138.9172215019529765816103728
absolute error = 8.51204714348e-14
relative error = 2.5377741809606385072952114715242e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.707
y[1] (analytic) = 3360853.907808201535745662878278
y[1] (numeric) = 3360853.90780820153566037199529
absolute error = 8.52908829880e-14
relative error = 2.5377741885728944312067305981339e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.708
y[1] (analytic) = 3367582.3418150134903769961079575
y[1] (numeric) = 3367582.3418150134902915344722523
absolute error = 8.54616357052e-14
relative error = 2.5377741961652838452732153703837e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.709
y[1] (analytic) = 3374324.2461556828154500588782498
y[1] (numeric) = 3374324.2461556828153644261479802
absolute error = 8.56327302696e-14
relative error = 2.5377742037434632969722869616277e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.71
y[1] (analytic) = 3381079.6477978358628491376013634
y[1] (numeric) = 3381079.6477978358627633334339978
absolute error = 8.58041673656e-14
relative error = 2.5377742113080936606533355172641e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.711
y[1] (analytic) = 3387848.5737630882083898123713874
y[1] (numeric) = 3387848.5737630882083038364237085
absolute error = 8.59759476789e-14
relative error = 2.5377742188577607414904892098271e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.712
y[1] (analytic) = 3394631.0511271527383172890521835
y[1] (numeric) = 3394631.051127152738231140980287
absolute error = 8.61480718965e-14
relative error = 2.5377742263889151757728411833832e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.713
y[1] (analytic) = 3401427.1070199479521940452135382
y[1] (numeric) = 3401427.1070199479521077246728311
absolute error = 8.63205407071e-14
relative error = 2.5377742339075727842439200101703e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.714
y[1] (analytic) = 3408236.7686257064826100016105618
y[1] (numeric) = 3408236.7686257064825235082557613
absolute error = 8.64933548005e-14
relative error = 2.5377742414115339435678912338532e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.715
y[1] (analytic) = 3415060.0631830838321492981917148
y[1] (numeric) = 3415060.0631830838320626316768467
absolute error = 8.66665148681e-14
relative error = 2.5377742489050256465081273137881e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.716
y[1] (analytic) = 3421897.0179852673280486226475461
y[1] (numeric) = 3421897.0179852673279617826259439
absolute error = 8.68400216022e-14
relative error = 2.5377742563781000950058015899833e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.717
y[1] (analytic) = 3428747.6603800852949829102787333
y[1] (numeric) = 3428747.6603800852948958964030362
absolute error = 8.70138756971e-14
relative error = 2.5377742638387770187581551157932e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.718
y[1] (analytic) = 3435612.0177701164464151064717844
y[1] (numeric) = 3435612.0177701164463279183939363
absolute error = 8.71880778481e-14
relative error = 2.5377742712836768775323934900897e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.719
y[1] (analytic) = 3442490.1176127994949475573273091
y[1] (numeric) = 3442490.1176127994948601946985572
absolute error = 8.73626287519e-14
relative error = 2.5377742787096731129746365312850e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.72
y[1] (analytic) = 3449381.9874205429821134699925684
y[1] (numeric) = 3449381.9874205429820259324634615
absolute error = 8.75375291069e-14
relative error = 2.5377742861225061629520125430898e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.721
y[1] (analytic) = 3456287.6547608353280477620105826
y[1] (numeric) = 3456287.6547608353279600492309698
absolute error = 8.77127796128e-14
relative error = 2.5377742935250410910603848375769e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.722
y[1] (analytic) = 3463207.147256355101477498515929
y[1] (numeric) = 3463207.1472563551013896101349587
absolute error = 8.78883809703e-14
relative error = 2.5377743009085527887897951648629e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.723
y[1] (analytic) = 3470140.4925850815104729973860054
y[1] (numeric) = 3470140.4925850815103849330521234
absolute error = 8.80643338820e-14
relative error = 2.5377743082786963930429633450816e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.724
y[1] (analytic) = 3477087.718480405114401565499499
y[1] (numeric) = 3477087.7184804051143133248604473
absolute error = 8.82406390517e-14
relative error = 2.5377743156351513820428560460115e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.725
y[1] (analytic) = 3484048.8527312387575267140646238
y[1] (numeric) = 3484048.8527312387574382967674393
absolute error = 8.84172971845e-14
relative error = 2.5377743229744704673805045268486e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.726
y[1] (analytic) = 3491023.9231821287246965875618979
y[1] (numeric) = 3491023.9231821287246079932529108
absolute error = 8.85943089871e-14
relative error = 2.5377743302986235072142114129777e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.727
y[1] (analytic) = 3498012.9577333661195662292033847
y[1] (numeric) = 3498012.9577333661194774575282171
absolute error = 8.87716751676e-14
relative error = 2.5377743376091451915376148535004e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.728
y[1] (analytic) = 3505015.984341098465799195945964
y[1] (numeric) = 3505015.9843410984657102465495285
absolute error = 8.89493964355e-14
relative error = 2.5377743449070585078414988498064e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.729
y[1] (analytic) = 3512033.0310174415316949280138947
y[1] (numeric) = 3512033.0310174415316058005403931
absolute error = 8.91274735016e-14
relative error = 2.5377743521899516349399914144459e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.73
y[1] (analytic) = 3519064.1258305913786891715892468
y[1] (numeric) = 3519064.1258305913785998656821685
absolute error = 8.93059070783e-14
relative error = 2.5377743594604564064241682974220e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=896.4MB, alloc=4.6MB, time=44.42
TOP MAIN SOLVE Loop
x[1] = 6.731
y[1] (analytic) = 3526109.2969049366341756488212909
y[1] (numeric) = 3526109.2969049366340861641234118
absolute error = 8.94846978791e-14
relative error = 2.5377743667119372825845783855883e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.732
y[1] (analytic) = 3533168.5724211709890980665912239
y[1] (numeric) = 3533168.5724211709890084027446045
absolute error = 8.96638466194e-14
relative error = 2.5377743739511455885369709703860e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.733
y[1] (analytic) = 3540241.9806164059207624545502604
y[1] (numeric) = 3540241.9806164059206726111962447
absolute error = 8.98433540157e-14
relative error = 2.5377743811754079154454307606519e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.734
y[1] (analytic) = 3547329.549784283641320723830741
y[1] (numeric) = 3547329.5497842836412307006099551
absolute error = 9.00232207859e-14
relative error = 2.5377743883810962672501339120865e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.735
y[1] (analytic) = 3554431.3082750902723772405150904
y[1] (numeric) = 3554431.3082750902722870370674406
absolute error = 9.02034476498e-14
relative error = 2.5377743955776238481997313473793e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.736
y[1] (analytic) = 3561547.2844958692461711124398162
y[1] (numeric) = 3561547.2844958692460807284044881
absolute error = 9.03840353281e-14
relative error = 2.5377744027591564385788095597404e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.737
y[1] (analytic) = 3568677.5069105349337877942149008
y[1] (numeric) = 3568677.5069105349336972292303576
absolute error = 9.05649845432e-14
relative error = 2.5377744099271008058660565149937e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.738
y[1] (analytic) = 3575822.004039986500854523456508
y[1] (numeric) = 3575822.0040399865007637771604891
absolute error = 9.07462960189e-14
relative error = 2.5377744170815621171234283700888e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.739
y[1] (analytic) = 3582980.8044622219911750111665578
y[1] (numeric) = 3582980.8044622219910840831960775
absolute error = 9.09279704803e-14
relative error = 2.5377744242184851103893087814681e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.74
y[1] (analytic) = 3590153.936812452638759720950043
y[1] (numeric) = 3590153.9368124526386686109413888
absolute error = 9.11100086542e-14
relative error = 2.5377744313407564334256034409704e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.741
y[1] (analytic) = 3597341.4297832174087089853436197
y[1] (numeric) = 3597341.4297832174086176929323509
absolute error = 9.12924112688e-14
relative error = 2.5377744384497151605871419416255e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.742
y[1] (analytic) = 3604543.312124497767407122940658
y[1] (numeric) = 3604543.3121244977673156477616043
absolute error = 9.14751790537e-14
relative error = 2.5377744455450873348659008522942e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.743
y[1] (analytic) = 3611759.6126438326824866372422498
y[1] (numeric) = 3611759.6126438326823949789295099
absolute error = 9.16583127399e-14
relative error = 2.5377744526249212254108453844485e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.744
y[1] (analytic) = 3618990.360206433853022497244301
y[1] (numeric) = 3618990.3602064338529306554312409
absolute error = 9.18418130601e-14
relative error = 2.5377744596938129009504518466292e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.745
y[1] (analytic) = 3626235.5837353011704174206914705
y[1] (numeric) = 3626235.5837353011703253950107225
absolute error = 9.20256807480e-14
relative error = 2.5377744667434563267171191123400e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.746
y[1] (analytic) = 3633495.3122113384104400036930394
y[1] (numeric) = 3633495.3122113384103477937765
absolute error = 9.22099165394e-14
relative error = 2.5377744737829651496342680074511e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.747
y[1] (analytic) = 3640769.5746734691568784650074808
y[1] (numeric) = 3640769.5746734691567860704863097
absolute error = 9.23945211711e-14
relative error = 2.5377744808084048111917887983955e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.748
y[1] (analytic) = 3648058.4002187529572736997652764
y[1] (numeric) = 3648058.400218752957181120269895
absolute error = 9.25794953814e-14
relative error = 2.5377744878165476533753904393781e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.749
y[1] (analytic) = 3655361.8180025017111962657170664
y[1] (numeric) = 3655361.8180025017111035008771561
absolute error = 9.27648399103e-14
relative error = 2.5377744948102566248156656778626e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.75
y[1] (analytic) = 3662679.8572383962915328552702632
y[1] (numeric) = 3662679.8572383962914399047147638
absolute error = 9.29505554994e-14
relative error = 2.5377745017956135198264712489128e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.751
y[1] (analytic) = 3670012.5471986033992487386155112
y[1] (numeric) = 3670012.5471986033991556019726199
absolute error = 9.31366428913e-14
relative error = 2.5377745087654571868776726531195e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.752
y[1] (analytic) = 3677359.9172138926520935971485735
y[1] (numeric) = 3677359.9172138926520002740457432
absolute error = 9.33231028303e-14
relative error = 2.5377745157184701750849676949025e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.753
y[1] (analytic) = 3684721.9966737539077191021670952
y[1] (numeric) = 3684721.9966737539076255922310328
absolute error = 9.35099360624e-14
relative error = 2.5377745226590398377637857272950e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.754
y[1] (analytic) = 3692098.8150265148216775314689902
y[1] (numeric) = 3692098.8150265148215838343256553
absolute error = 9.36971433349e-14
relative error = 2.5377745295862866446304033443283e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.755
y[1] (analytic) = 3699490.4017794586407716560036618
y[1] (numeric) = 3699490.4017794586406777712782652
absolute error = 9.38847253966e-14
relative error = 2.5377745364994419698171898687993e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.756
y[1] (analytic) = 3706896.7864989422322270701326614
y[1] (numeric) = 3706896.7864989422321329974496635
absolute error = 9.40726829979e-14
relative error = 2.5377745434004638899127791562678e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.757
y[1] (analytic) = 3714317.9988105143491590823464782
y[1] (numeric) = 3714317.9988105143490648213295877
absolute error = 9.42610168905e-14
relative error = 2.5377745502858523186852294690678e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.758
y[1] (analytic) = 3721754.0683990341328072284627111
y[1] (numeric) = 3721754.0683990341327127787348833
absolute error = 9.44497278278e-14
relative error = 2.5377745571573702731624072778912e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.759
y[1] (analytic) = 3729205.0250087898520114164016774
y[1] (numeric) = 3729205.0250087898519167775851127
memory used=900.3MB, alloc=4.6MB, time=44.60
absolute error = 9.46388165647e-14
relative error = 2.5377745640165475581874069172754e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.76
y[1] (analytic) = 3736670.8984436178804046606023574
y[1] (numeric) = 3736670.8984436178803098323184999
absolute error = 9.48282838575e-14
relative error = 2.5377745708619260437554822654495e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.761
y[1] (analytic) = 3744151.7185670219117983150082489
y[1] (numeric) = 3744151.7185670219117032968777849
absolute error = 9.50181304640e-14
relative error = 2.5377745776916794821090907508816e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.762
y[1] (analytic) = 3751647.5153022924142366663230174
y[1] (numeric) = 3751647.5153022924141414579658737
absolute error = 9.52083571437e-14
relative error = 2.5377745845088674312891470243112e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.763
y[1] (analytic) = 3759158.3186326263231987039135861
y[1] (numeric) = 3759158.3186326263231033049489286
absolute error = 9.53989646575e-14
relative error = 2.5377745913133252056851407105677e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.764
y[1] (analytic) = 3766684.158601246974425839327338
y[1] (numeric) = 3766684.1586012469743302493735703
absolute error = 9.55899537677e-14
relative error = 2.5377745981016151609907966995917e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.765
y[1] (analytic) = 3774225.0653115242768553068942177
y[1] (numeric) = 3774225.0653115242767595255689792
absolute error = 9.57813252385e-14
relative error = 2.5377746048802263469131312403695e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.766
y[1] (analytic) = 3781781.068927095126139937307565
y[1] (numeric) = 3781781.0689270951260439642277299
absolute error = 9.59730798351e-14
relative error = 2.5377746116415963628451386088506e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.767
y[1] (analytic) = 3789352.1996719840592359584233283
y[1] (numeric) = 3789352.1996719840591397932050036
absolute error = 9.61652183247e-14
relative error = 2.5377746183905604047305199761999e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.768
y[1] (analytic) = 3796938.4878307241505414417897314
y[1] (numeric) = 3796938.4878307241504450840482555
absolute error = 9.63577414759e-14
relative error = 2.5377746251283447063846599440359e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.769
y[1] (analytic) = 3804539.9637484781500689796223762
y[1] (numeric) = 3804539.9637484781499724289723176
absolute error = 9.65506500586e-14
relative error = 2.5377746318498931583600259202619e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.77
y[1] (analytic) = 3812156.6578311598641371450770066
y[1] (numeric) = 3812156.657831159864040401132162
absolute error = 9.67439448446e-14
relative error = 2.5377746385595883386080164707030e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.771
y[1] (analytic) = 3819788.6005455557790662587476144
y[1] (numeric) = 3819788.6005455557789693211210074
absolute error = 9.69376266070e-14
relative error = 2.5377746452553689427506822688520e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.772
y[1] (analytic) = 3827435.8224194469283649563351204
y[1] (numeric) = 3827435.8224194469282678246389999
absolute error = 9.71316961205e-14
relative error = 2.5377746519365513262844639172485e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.773
y[1] (analytic) = 3835098.3540417310038950263953887
y[1] (numeric) = 3835098.3540417310037977002412273
absolute error = 9.73261541614e-14
relative error = 2.5377746586037350206213533404062e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.774
y[1] (analytic) = 3842776.2260625447115029629887416
y[1] (numeric) = 3842776.2260625447114054419872339
absolute error = 9.75210015077e-14
relative error = 2.5377746652613114234723338290855e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.775
y[1] (analytic) = 3850469.4691933863716076559203256
y[1] (numeric) = 3850469.469193386371509939681387
absolute error = 9.77162389386e-14
relative error = 2.5377746719043596614069416536819e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.776
y[1] (analytic) = 3858178.1142072387652346210855579
y[1] (numeric) = 3858178.1142072387651367092183229
absolute error = 9.79118672350e-14
relative error = 2.5377746785316181255952819383552e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.777
y[1] (analytic) = 3865902.191938692225988155221369
y[1] (numeric) = 3865902.1919386922258900473341894
absolute error = 9.81078871796e-14
relative error = 2.5377746851479540268953683092571e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.778
y[1] (analytic) = 3873641.7332840679784537831159822
y[1] (numeric) = 3873641.7332840679783554788164258
absolute error = 9.83042995564e-14
relative error = 2.5377746917513136658327693984547e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.779
y[1] (analytic) = 3881396.769201541723524351051472
y[1] (numeric) = 3881396.7692015417234258499463211
absolute error = 9.85011051509e-14
relative error = 2.5377746983378633593592546608686e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.78
y[1] (analytic) = 3889167.3307112674711441079482542
y[1] (numeric) = 3889167.3307112674710454096435036
absolute error = 9.86983047506e-14
relative error = 2.5377747049147827237615352784780e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.781
y[1] (analytic) = 3896953.4488955016209661053529424
y[1] (numeric) = 3896953.4488955016208672094537983
absolute error = 9.88958991441e-14
relative error = 2.5377747114769790373501980170503e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.782
y[1] (analytic) = 3904755.1548987272914192390646131
y[1] (numeric) = 3904755.1548987272913201451754913
absolute error = 9.90938891218e-14
relative error = 2.5377747180250556118318702143316e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.783
y[1] (analytic) = 3912572.4799277788976822488334171
y[1] (numeric) = 3912572.4799277788975829565579413
absolute error = 9.92922754758e-14
relative error = 2.5377747245626184254207195287392e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.784
y[1] (analytic) = 3920405.4552519669790629881936396
y[1] (numeric) = 3920405.45525196697896349713464
absolute error = 9.94910589996e-14
relative error = 2.5377747310885130291874976855571e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.785
y[1] (analytic) = 3928254.1122032032762822741147256
y[1] (numeric) = 3928254.1122032032761825838742375
absolute error = 9.96902404881e-14
relative error = 2.5377747375967911565833915055204e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.786
y[1] (analytic) = 3936118.4821761260591626257724398
y[1] (numeric) = 3936118.4821761260590627359517014
absolute error = 9.98898207384e-14
relative error = 2.5377747440970024477224956327248e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.787
y[1] (analytic) = 3943998.5966282257052232033622163
y[1] (numeric) = 3943998.5966282257051231135616678
absolute error = 1.000898005485e-13
relative error = 2.5377747505809975870535562874203e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=904.1MB, alloc=4.6MB, time=44.79
x[1] = 6.788
y[1] (analytic) = 3951894.4870799705296832615018963
y[1] (numeric) = 3951894.4870799705295829713211779
absolute error = 1.002901807184e-13
relative error = 2.5377747570508586831260286528063e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.789
y[1] (analytic) = 3959806.1851149328673774374054368
y[1] (numeric) = 3959806.185114932867276946443387
absolute error = 1.004909620498e-13
relative error = 2.5377747635111404498378413738797e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.79
y[1] (analytic) = 3967733.7223799154070872016568536
y[1] (numeric) = 3967733.7223799154069865095115081
absolute error = 1.006921453455e-13
relative error = 2.5377747699536426363990341189531e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.791
y[1] (analytic) = 3975677.1305850777787938090786492
y[1] (numeric) = 3975677.1305850777786929153472386
absolute error = 1.008937314106e-13
relative error = 2.5377747763876400020320976275766e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.792
y[1] (analytic) = 3983636.4415040633943590988753082
y[1] (numeric) = 3983636.441504063394258003154257
absolute error = 1.010957210512e-13
relative error = 2.5377747828069937642332612164124e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.793
y[1] (analytic) = 3991611.6869741265421415069441862
y[1] (numeric) = 3991611.6869741265420402088291109
absolute error = 1.012981150753e-13
relative error = 2.5377747892127716903999140801045e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.794
y[1] (analytic) = 3999602.8988962597360556689872974
y[1] (numeric) = 3999602.8988962597359541680730049
absolute error = 1.015009142925e-13
relative error = 2.5377747956055948011071273832687e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.795
y[1] (analytic) = 4007610.109235321319585010832214
y[1] (numeric) = 4007610.1092353213194833067126999
absolute error = 1.017041195141e-13
relative error = 2.5377748019880562400254642721454e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.796
y[1] (analytic) = 4015633.3500201633252577421825766
y[1] (numeric) = 4015633.3500201633251558344510237
absolute error = 1.019077315529e-13
relative error = 2.5377748083596402099579485362051e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.797
y[1] (analytic) = 4023672.6533437595900976918726706
y[1] (numeric) = 4023672.6533437595899955801214475
absolute error = 1.021117512231e-13
relative error = 2.5377748147141868327163852891927e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.798
y[1] (analytic) = 4031728.0513633341275624466002298
y[1] (numeric) = 4031728.0513633341274601304208888
absolute error = 1.023161793410e-13
relative error = 2.5377748210572300327607655124446e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.799
y[1] (analytic) = 4039799.5763004897564822810611844
y[1] (numeric) = 4039799.5763004897563797600444602
absolute error = 1.025210167242e-13
relative error = 2.5377748273859971958450244780176e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.8
y[1] (analytic) = 4047887.26044133698751439541358
y[1] (numeric) = 4047887.2604413369874116691493878
absolute error = 1.027262641922e-13
relative error = 2.5377748337042336747054382452602e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.801
y[1] (analytic) = 4055991.1361366231676280060594652
y[1] (numeric) = 4055991.1361366231675250741368993
absolute error = 1.029319225659e-13
relative error = 2.5377748400097295386769835540706e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.802
y[1] (analytic) = 4064111.2358018618831368678573049
y[1] (numeric) = 4064111.2358018618830337298646369
absolute error = 1.031379926680e-13
relative error = 2.5377748463041403645944219858476e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.803
y[1] (analytic) = 4072247.5919174626217968400675438
y[1] (numeric) = 4072247.5919174626216934955922212
absolute error = 1.033444753226e-13
relative error = 2.5377748525830453196083847682647e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.804
y[1] (analytic) = 4080400.2370288606944871445944685
y[1] (numeric) = 4080400.2370288606943835932231127
absolute error = 1.035513713558e-13
relative error = 2.5377748588506314350362477517863e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.805
y[1] (analytic) = 4088569.2037466474169950034226284
y[1] (numeric) = 4088569.2037466474168912447410332
absolute error = 1.037586815952e-13
relative error = 2.5377748651072977697750351324585e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.806
y[1] (analytic) = 4096754.5247467005524243825599424
y[1] (numeric) = 4096754.5247467005523204161530725
absolute error = 1.039664068699e-13
relative error = 2.5377748713496122819280074901646e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.807
y[1] (analytic) = 4104956.2327703150147506122963893
y[1] (numeric) = 4104956.2327703150146464377483784
absolute error = 1.041745480109e-13
relative error = 2.5377748775800136004332478126852e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.808
y[1] (analytic) = 4113174.3606243338340436981710352
y[1] (numeric) = 4113174.3606243338339393150651844
absolute error = 1.043831058508e-13
relative error = 2.5377748837993780737410153649515e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.809
y[1] (analytic) = 4121408.9411812793838841837152608
y[1] (numeric) = 4121408.9411812793837795916340372
absolute error = 1.045920812236e-13
relative error = 2.5377748900021017670480340941806e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.81
y[1] (analytic) = 4129660.0073794848714964748106119
y[1] (numeric) = 4129660.0073794848713916733356464
absolute error = 1.048014749655e-13
relative error = 2.5377748961954564168144817254237e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.811
y[1] (analytic) = 4137927.5922232260911255863698874
y[1] (numeric) = 4137927.5922232260910205750819734
absolute error = 1.050112879140e-13
relative error = 2.5377749023776302048896811788238e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.812
y[1] (analytic) = 4146211.7287828534411843250241258
y[1] (numeric) = 4146211.7287828534410791035032175
absolute error = 1.052215209083e-13
relative error = 2.5377749085473847706728700130395e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.813
y[1] (analytic) = 4154512.450194924205698976580242
y[1] (numeric) = 4154512.4501949242055935444054527
absolute error = 1.054321747893e-13
relative error = 2.5377749147039687510163896246260e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.814
y[1] (analytic) = 4162829.7896623351005826242084402
y[1] (numeric) = 4162829.7896623351004769809580406
absolute error = 1.056432503996e-13
relative error = 2.5377749208470321611183992044803e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.815
y[1] (analytic) = 4171163.780454455085266282629404
y[1] (numeric) = 4171163.7804544550851604278808205
absolute error = 1.058547485835e-13
relative error = 2.5377749269765416114095240845685e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.816
y[1] (analytic) = 4179514.4559072584402190950028822
y[1] (numeric) = 4179514.4559072584401130283326951
absolute error = 1.060666701871e-13
relative error = 2.5377749330950889778829659283913e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=907.9MB, alloc=4.6MB, time=44.97
TOP MAIN SOLVE Loop
x[1] = 6.817
y[1] (analytic) = 4187881.8494234581108899027758952
y[1] (numeric) = 4187881.8494234581107836237598372
absolute error = 1.062790160580e-13
relative error = 2.5377749392006208478835161192096e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.818
y[1] (analytic) = 4196265.994472639318603564434633
y[1] (numeric) = 4196265.9944726393184970726475873
absolute error = 1.064917870457e-13
relative error = 2.5377749452959363040526383411618e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.819
y[1] (analytic) = 4204666.9245913934389464669234678
y[1] (numeric) = 4204666.9245913934388397619394666
absolute error = 1.067049840012e-13
relative error = 2.5377749513790444877178442561859e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.82
y[1] (analytic) = 4213084.673383452148176743451631
y[1] (numeric) = 4213084.6733834521480698248438537
absolute error = 1.069186077773e-13
relative error = 2.5377749574502522088229953506901e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.821
y[1] (analytic) = 4221519.2745198218381957835072888
y[1] (numeric) = 4221519.2745198218380886508480604
absolute error = 1.071326592284e-13
relative error = 2.5377749635073226373104049784208e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.822
y[1] (analytic) = 4229970.761738918300618695144275
y[1] (numeric) = 4229970.7617389183005113480050642
absolute error = 1.073471392108e-13
relative error = 2.5377749695525121461106943366273e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.823
y[1] (analytic) = 4238439.1688467016804824560029102
y[1] (numeric) = 4238439.1688467016803748939543277
absolute error = 1.075620485825e-13
relative error = 2.5377749755877259917496941752493e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.824
y[1] (analytic) = 4246924.5297168117001315680774486
y[1] (numeric) = 4246924.5297168117000237906892456
absolute error = 1.077773882030e-13
relative error = 2.5377749816097316385536761565317e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.825
y[1] (analytic) = 4255426.8782907031538221119530717
y[1] (numeric) = 4255426.878290703153714118794138
absolute error = 1.079931589337e-13
relative error = 2.5377749876195289678311168041526e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.826
y[1] (analytic) = 4263946.2485777816735861791093032
y[1] (numeric) = 4263946.2485777816734779697476655
absolute error = 1.082093616377e-13
relative error = 2.5377749936175368308729450386703e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.827
y[1] (analytic) = 4272482.6746555397668997459285974
y[1] (numeric) = 4272482.6746555397667913199314175
absolute error = 1.084259971799e-13
relative error = 2.5377749996058585697881691766318e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.828
y[1] (analytic) = 4281036.1906696931266981402629792
y[1] (numeric) = 4281036.1906696931265894971965525
absolute error = 1.086430664267e-13
relative error = 2.5377750055811767201285797599763e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.829
y[1] (analytic) = 4289606.8308343172142843408023501
y[1] (numeric) = 4289606.8308343172141754802321038
absolute error = 1.088605702463e-13
relative error = 2.5377750115417199253876844009306e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.83
y[1] (analytic) = 4298194.6294319841156764410597673
y[1] (numeric) = 4298194.6294319841155673625502584
absolute error = 1.090785095089e-13
relative error = 2.5377750174918199366823115125692e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.831
y[1] (analytic) = 4306799.6208138996719417035460267
y[1] (numeric) = 4306799.6208138996718324066609405
absolute error = 1.092968850862e-13
relative error = 2.5377750234301603613887992893912e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.832
y[1] (analytic) = 4315421.8394000408840657256526082
y[1] (numeric) = 4315421.8394000408839562099547565
absolute error = 1.095156978517e-13
relative error = 2.5377750293567039237705033292416e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.833
y[1] (analytic) = 4324061.3196792935929063369028522
y[1] (numeric) = 4324061.3196792935927966019541716
absolute error = 1.097349486806e-13
relative error = 2.5377750352702862950087691312392e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.834
y[1] (analytic) = 4332718.0962095904347829475705306
y[1] (numeric) = 4332718.0962095904346729929320806
absolute error = 1.099546384500e-13
relative error = 2.5377750411731625905760761455386e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.835
y[1] (analytic) = 4341392.203618049073253171207146
y[1] (numeric) = 4341392.2036180490731429964391074
absolute error = 1.101747680386e-13
relative error = 2.5377750470639822273705508934308e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.836
y[1] (analytic) = 4350083.6766011107076296483687604
y[1] (numeric) = 4350083.6766011107075192530304334
absolute error = 1.103953383270e-13
relative error = 2.5377750529446404704330057150353e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.837
y[1] (analytic) = 4358792.5499246788587911057943244
y[1] (numeric) = 4358792.5499246788586804894441271
absolute error = 1.106163501973e-13
relative error = 2.5377750588109884040159498425824e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.838
y[1] (analytic) = 4367518.858424258432842794464793
y[1] (numeric) = 4367518.8584242584327319566602593
absolute error = 1.108378045337e-13
relative error = 2.5377750646665502109566502133371e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.839
y[1] (analytic) = 4376262.637005095063182561370197
y[1] (numeric) = 4376262.637005095063071501667975
absolute error = 1.110597022220e-13
relative error = 2.5377750705109406064361437504137e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.84
y[1] (analytic) = 4385023.9206423147315299234347478
y[1] (numeric) = 4385023.9206423147314186413905979
absolute error = 1.112820441499e-13
relative error = 2.5377750763466644175462243081268e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.841
y[1] (analytic) = 4393802.7443810636684766279024312
y[1] (numeric) = 4393802.7443810636683651230712248
absolute error = 1.115048312064e-13
relative error = 2.5377750821653513258904495388045e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.842
y[1] (analytic) = 4402599.1433366485341183015718686
y[1] (numeric) = 4402599.1433366485340065735075856
absolute error = 1.117280642830e-13
relative error = 2.5377750879750402333441009564330e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.843
y[1] (analytic) = 4411413.1526946768793279115939458
y[1] (numeric) = 4411413.1526946768792159598496733
absolute error = 1.119517442725e-13
relative error = 2.5377750937727326967496559340279e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.844
y[1] (analytic) = 4420244.8077111978882328831133389
y[1] (numeric) = 4420244.8077111978881207072412692
absolute error = 1.121758720697e-13
relative error = 2.5377750995602582941698028912615e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.845
y[1] (analytic) = 4429094.1437128434024588438500608
y[1] (numeric) = 4429094.1437128434023464434014898
memory used=911.7MB, alloc=4.6MB, time=45.16
absolute error = 1.124004485710e-13
relative error = 2.5377751053351145169454949916517e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.846
y[1] (analytic) = 4437961.1960969692277040927840417
y[1] (numeric) = 4437961.196096969227591467309367
absolute error = 1.126254746747e-13
relative error = 2.5377751110971890317064947393646e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.847
y[1] (analytic) = 4446846.0003317967232100194290252
y[1] (numeric) = 4446846.0003317967230971684777442
absolute error = 1.128509512810e-13
relative error = 2.5377751168486550989140824913182e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.848
y[1] (analytic) = 4455748.5919565546746938317662442
y[1] (numeric) = 4455748.5919565546745807548869525
absolute error = 1.130768792917e-13
relative error = 2.5377751225871350655761367630355e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.849
y[1] (analytic) = 4464669.006581621451311084757952
y[1] (numeric) = 4464669.0065816214511977814983413
absolute error = 1.133032596107e-13
relative error = 2.5377751283168639773443422928177e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.85
y[1] (analytic) = 4473607.2798886674472166374804648
y[1] (numeric) = 4473607.2798886674471031073873215
absolute error = 1.135300931433e-13
relative error = 2.5377751340328954811746511260323e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.851
y[1] (analytic) = 4482563.4476307978082938053104674
y[1] (numeric) = 4482563.4476307978081800479296704
absolute error = 1.137573807970e-13
relative error = 2.5377751397389595061118515470990e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.852
y[1] (analytic) = 4491537.5456326954446226142714914
y[1] (numeric) = 4491537.5456326954445086291480105
absolute error = 1.139851234809e-13
relative error = 2.5377751454339365265191067067665e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.853
y[1] (analytic) = 4500529.6097907643292592076042686
y[1] (numeric) = 4500529.6097907643291449942821628
absolute error = 1.142133221058e-13
relative error = 2.5377751511140470167760241461867e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.854
y[1] (analytic) = 4509539.67607327308389959986965
y[1] (numeric) = 4509539.6760732730837851578920652
absolute error = 1.144419775848e-13
relative error = 2.5377751567861023933074475750200e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.855
y[1] (analytic) = 4518567.7805204988520021214305531
y[1] (numeric) = 4518567.7805204988518874503397207
absolute error = 1.146710908324e-13
relative error = 2.5377751624474007428315329352447e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.856
y[1] (analytic) = 4527613.959244871459944045994549
y[1] (numeric) = 4527613.9592448714598291453317841
absolute error = 1.149006627649e-13
relative error = 2.5377751680945754610389773679828e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.857
y[1] (analytic) = 4536678.2484311178667890460358126
y[1] (numeric) = 4536678.2484311178666739153415118
absolute error = 1.151306943008e-13
relative error = 2.5377751737323382208502421550658e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.858
y[1] (analytic) = 4545760.6843364069032432753588569
y[1] (numeric) = 4545760.6843364069031279141724967
absolute error = 1.153611863602e-13
relative error = 2.5377751793601184902992607363376e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.859
y[1] (analytic) = 4554861.3032904943003790348213684
y[1] (numeric) = 4554861.3032904943002634426815035
absolute error = 1.155921398649e-13
relative error = 2.5377751849742307670705456717551e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.86
y[1] (analytic) = 4563980.1416958680087061363041776
y[1] (numeric) = 4563980.1416958680085903127484387
absolute error = 1.158235557389e-13
relative error = 2.5377751905787802663421161049881e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.861
y[1] (analytic) = 4573117.2360278938081722414075782
y[1] (numeric) = 4573117.2360278938080561859726704
absolute error = 1.160554349078e-13
relative error = 2.5377751961723842816203925558056e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.862
y[1] (analytic) = 4582272.6228349612096746150694982
y[1] (numeric) = 4582272.6228349612095583272911992
absolute error = 1.162877782990e-13
relative error = 2.5377752017525106884970676375104e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.863
y[1] (analytic) = 4591446.3387386296486669003470719
y[1] (numeric) = 4591446.3387386296485503797602299
absolute error = 1.165205868420e-13
relative error = 2.5377752073219425678541434304521e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.864
y[1] (analytic) = 4600638.4204337749714456889836362
y[1] (numeric) = 4600638.4204337749713289351221681
absolute error = 1.167538614681e-13
relative error = 2.5377752128821235704710042321635e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.865
y[1] (analytic) = 4609848.9046887362147028331027496
y[1] (numeric) = 4609848.9046887362145858454996393
absolute error = 1.169876031103e-13
relative error = 2.5377752184309211151297274579354e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.866
y[1] (analytic) = 4619077.8283454626789306164341862
y[1] (numeric) = 4619077.8283454626788133946214828
absolute error = 1.172218127034e-13
relative error = 2.5377752239647461884258585985583e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.867
y[1] (analytic) = 4628325.228319661296268078888688
y[1] (numeric) = 4628325.2283196612961506223975035
absolute error = 1.174564911845e-13
relative error = 2.5377752294892902198843559977523e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.868
y[1] (analytic) = 4637591.141600944293377966063263
y[1] (numeric) = 4637591.1416009442932602744237707
absolute error = 1.176916394923e-13
relative error = 2.5377752350042576671914219117616e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.869
y[1] (analytic) = 4646875.6052529771499449553817126
y[1] (numeric) = 4646875.6052529771498270281231452
absolute error = 1.179272585674e-13
relative error = 2.5377752405098007465286897710033e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.87
y[1] (analytic) = 4656178.6564136268533869930605698
y[1] (numeric) = 4656178.6564136268532688297112177
absolute error = 1.181633493521e-13
relative error = 2.5377752460021387998890249385319e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.871
y[1] (analytic) = 4665500.33229511045037276094347
y[1] (numeric) = 4665500.3322951104502543610306792
absolute error = 1.183999127908e-13
relative error = 2.5377752514820903462729136622669e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.872
y[1] (analytic) = 4674840.6701841438957394794718892
y[1] (numeric) = 4674840.6701841438956208425220593
absolute error = 1.186369498299e-13
relative error = 2.5377752569528073729352259426583e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.873
y[1] (analytic) = 4684199.7074420911994064426619275
y[1] (numeric) = 4684199.70744209119928756820051
absolute error = 1.188744614175e-13
relative error = 2.5377752624132666789425848805661e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=915.5MB, alloc=4.6MB, time=45.35
x[1] = 6.874
y[1] (analytic) = 4693577.4815051138718808729401406
y[1] (numeric) = 4693577.481505113871761760491637
absolute error = 1.191124485036e-13
relative error = 2.5377752678624917981803435600933e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.875
y[1] (analytic) = 4702974.0298843206689538780610988
y[1] (numeric) = 4702974.0298843206688345271490586
absolute error = 1.193509120402e-13
relative error = 2.5377752733015980838747940404157e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.876
y[1] (analytic) = 4712389.3901659176361854890901609
y[1] (numeric) = 4712389.3901659176360658992371798
absolute error = 1.195898529811e-13
relative error = 2.5377752787294469153753950406736e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.877
y[1] (analytic) = 4721823.6000113584537789575916747
y[1] (numeric) = 4721823.6000113584536591283193927
absolute error = 1.198292722820e-13
relative error = 2.5377752841447051932930449577392e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.878
y[1] (analytic) = 4731276.6971574950824456917202524
y[1] (numeric) = 4731276.6971574950823256225493516
absolute error = 1.200691709008e-13
relative error = 2.5377752895521073075687316289519e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.879
y[1] (analytic) = 4740748.7194167287108634148757256
y[1] (numeric) = 4740748.7194167287107431053259288
absolute error = 1.203095497968e-13
relative error = 2.5377752949454388014519790090107e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.88
y[1] (analytic) = 4750239.7046771610053313369556802
y[1] (numeric) = 4750239.7046771610052107865457485
absolute error = 1.205504099317e-13
relative error = 2.5377753003286163275107934627276e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.881
y[1] (analytic) = 4759749.6909027456622273370279195
y[1] (numeric) = 4759749.6909027456621065452756506
absolute error = 1.207917522689e-13
relative error = 2.5377753057007992264969188606264e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.882
y[1] (analytic) = 4769278.7161334402638733674536584
y[1] (numeric) = 4769278.7161334402637523338758845
absolute error = 1.210335777739e-13
relative error = 2.5377753110647431058714001793606e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.883
y[1] (analytic) = 4778826.8184853584384165031255382
y[1] (numeric) = 4778826.8184853584382952272381244
absolute error = 1.212758874138e-13
relative error = 2.5377753164162203241767017710732e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.884
y[1] (analytic) = 4788394.0361509223243342755475404
y[1] (numeric) = 4788394.0361509223242127568653825
absolute error = 1.215186821579e-13
relative error = 2.5377753217565391374575546973560e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.885
y[1] (analytic) = 4797980.4073990153401741499814202
y[1] (numeric) = 4797980.4073990153400523880184428
absolute error = 1.217619629774e-13
relative error = 2.5377753270861551299738671641183e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.886
y[1] (analytic) = 4807585.9705751352601382248212623
y[1] (numeric) = 4807585.9705751352600162190904168
absolute error = 1.220057308455e-13
relative error = 2.5377753324066789228989938894876e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.887
y[1] (analytic) = 4817210.764101547596125455739057
y[1] (numeric) = 4817210.7641015475960032057523199
absolute error = 1.222499867371e-13
relative error = 2.5377753377145561437071928391228e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.888
y[1] (analytic) = 4826854.826477439286844932974703
y[1] (numeric) = 4826854.8264774392867224382430736
absolute error = 1.224947316294e-13
relative error = 2.5377753430134686114255623539810e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.889
y[1] (analytic) = 4836518.1962790726946149684284638
y[1] (numeric) = 4836518.1962790726944922284619625
absolute error = 1.227399665013e-13
relative error = 2.5377753483017757667962639861920e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.89
y[1] (analytic) = 4846200.9121599399104639799575569
y[1] (numeric) = 4846200.9121599399103409942652231
absolute error = 1.229856923338e-13
relative error = 2.5377753535807407807220108997732e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.891
y[1] (analytic) = 4855903.0128509173681503934861512
y[1] (numeric) = 4855903.0128509173680271615760416
absolute error = 1.232319101096e-13
relative error = 2.5377753588461834111059228898147e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.892
y[1] (analytic) = 4865624.537160420767720019214535
y[1] (numeric) = 4865624.5371604207675965405937212
absolute error = 1.234786208138e-13
relative error = 2.5377753641028401710786734074195e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.893
y[1] (analytic) = 4875365.5239745603092205963635224
y[1] (numeric) = 4875365.5239745603090968705380893
absolute error = 1.237258254331e-13
relative error = 2.5377753693477855878327359068747e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.894
y[1] (analytic) = 4885126.012257296237194441519257
y[1] (numeric) = 4885126.0122572962370704679943005
absolute error = 1.239735249565e-13
relative error = 2.5377753745847569643561996402692e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.895
y[1] (analytic) = 4894906.0410505946965713787563973
y[1] (numeric) = 4894906.0410505946964471570360228
absolute error = 1.242217203745e-13
relative error = 2.5377753798076636104101095616170e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.896
y[1] (analytic) = 4904705.6494745839005853753192146
y[1] (numeric) = 4904705.6494745839004609049065345
absolute error = 1.244704126801e-13
relative error = 2.5377753850209926550817942158996e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.897
y[1] (analytic) = 4914524.8767277106113395547353671
y[1] (numeric) = 4914524.8767277106112148351324989
absolute error = 1.247196028682e-13
relative error = 2.5377753902274141056428608056521e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.898
y[1] (analytic) = 4924363.7620868969336455098310452
y[1] (numeric) = 4924363.7620868969335205405391099
absolute error = 1.249692919353e-13
relative error = 2.5377753954216258607616728506210e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.899
y[1] (analytic) = 4934222.3449076974227640912137989
y[1] (numeric) = 4934222.3449076974226388717329187
absolute error = 1.252194808802e-13
relative error = 2.5377754006045390745198957646249e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.9
y[1] (analytic) = 4944100.6646244565066761023956772
y[1] (numeric) = 4944100.6646244565065506322249734
absolute error = 1.254701707038e-13
relative error = 2.5377754057790902688179289569856e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.901
y[1] (analytic) = 4953998.760750466223512590849356
y[1] (numeric) = 4953998.7607504662233868694869474
absolute error = 1.257213624086e-13
relative error = 2.5377754109400474034896022647155e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.902
y[1] (analytic) = 4963916.6728781242747756849287376
y[1] (numeric) = 4963916.672878124274649711871738
absolute error = 1.259730569996e-13
relative error = 2.5377754160921414039402566082753e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=919.3MB, alloc=4.6MB, time=45.53
TOP MAIN SOLVE Loop
x[1] = 6.903
y[1] (analytic) = 4973854.4406790923949821897481042
y[1] (numeric) = 4973854.4406790923948559644926207
absolute error = 1.262252554835e-13
relative error = 2.5377754212338019307351105376153e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.904
y[1] (analytic) = 4983812.1039044550383634208053705
y[1] (numeric) = 4983812.1039044550382369428465014
absolute error = 1.264779588691e-13
relative error = 2.5377754263651653220019374007916e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.905
y[1] (analytic) = 4993789.7023848783832560223603518
y[1] (numeric) = 4993789.7023848783831292911921846
absolute error = 1.267311681672e-13
relative error = 2.5377754314859743156366546694854e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.906
y[1] (analytic) = 5003787.2760307696548197883433265
y[1] (numeric) = 5003787.2760307696546928034589356
absolute error = 1.269848843909e-13
relative error = 2.5377754366014966312100343355742e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.907
y[1] (analytic) = 5013804.8648324367667197768776065
y[1] (numeric) = 5013804.8648324367665925377690518
absolute error = 1.272391085547e-13
relative error = 2.5377754417044385428731961850896e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.908
y[1] (analytic) = 5023842.5088602482824112853574315
y[1] (numeric) = 5023842.5088602482822837915157561
absolute error = 1.274938416754e-13
relative error = 2.5377754467929039288965847700217e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.909
y[1] (analytic) = 5033900.2482647936966675314343665
y[1] (numeric) = 5033900.2482647936965397823495945
absolute error = 1.277490847720e-13
relative error = 2.5377754518682733056786795745750e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.91
y[1] (analytic) = 5043978.1232770440379911662366375
y[1] (numeric) = 5043978.1232770440378631613977713
absolute error = 1.280048388662e-13
relative error = 2.5377754569450031771862780705648e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.911
y[1] (analytic) = 5054076.17420851279255202968159
y[1] (numeric) = 5054076.1742085127924237685766101
absolute error = 1.282611049799e-13
relative error = 2.5377754620009495233912089287777e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.912
y[1] (analytic) = 5064194.4414514171502948438468675
y[1] (numeric) = 5064194.4414514171501663259627284
absolute error = 1.285178841391e-13
relative error = 2.5377754670546633204548429992794e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.913
y[1] (analytic) = 5074332.9654788395738618290460635
y[1] (numeric) = 5074332.9654788395737330538686933
absolute error = 1.287751773702e-13
relative error = 2.5377754720919880893914635718664e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.914
y[1] (analytic) = 5084491.786844889690976518514751
y[1] (numeric) = 5084491.7868448896908474855290481
absolute error = 1.290329857029e-13
relative error = 2.5377754771233412828185210784611e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.915
y[1] (analytic) = 5094670.9461848665109363414579935
y[1] (numeric) = 5094670.9461848665108070501478253
absolute error = 1.292913101682e-13
relative error = 2.5377754821441318461701142874179e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.916
y[1] (analytic) = 5104870.4842154209658628406459655
y[1] (numeric) = 5104870.4842154209657332904941663
absolute error = 1.295501517992e-13
relative error = 2.5377754871505002424298524665361e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.917
y[1] (analytic) = 5115090.4417347187773596897752725
y[1] (numeric) = 5115090.4417347187772298802636407
absolute error = 1.298095116318e-13
relative error = 2.5377754921529155212823782238877e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.918
y[1] (analytic) = 5125330.859622603649229977445192
y[1] (numeric) = 5125330.8596226036490999080544894
absolute error = 1.300693907026e-13
relative error = 2.5377754971349785624751493094125e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.919
y[1] (analytic) = 5135591.7788407607869055288355705
y[1] (numeric) = 5135591.7788407607867751990455184
absolute error = 1.303297900521e-13
relative error = 2.5377755021159195165008393602938e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.92
y[1] (analytic) = 5145873.240432880744242343021677
y[1] (numeric) = 5145873.2404328807441117523109555
absolute error = 1.305907107215e-13
relative error = 2.5377755070879759661106163403299e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.921
y[1] (analytic) = 5156175.285524823598337533326236
y[1] (numeric) = 5156175.2855248235982066811724815
absolute error = 1.308521537545e-13
relative error = 2.5377755120514906087007204076569e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.922
y[1] (analytic) = 5166497.9553247834530244701952945
y[1] (numeric) = 5166497.9553247834528933560750978
absolute error = 1.311141201967e-13
relative error = 2.5377755170031365094359669111918e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.923
y[1] (analytic) = 5176841.291123453271704140797835
y[1] (numeric) = 5176841.2911234532715727641867392
absolute error = 1.313766110958e-13
relative error = 2.5377755219397363033754739087917e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.924
y[1] (analytic) = 5187205.3342941900401720568943495
y[1] (numeric) = 5187205.3342941900400404172668474
absolute error = 1.316396275021e-13
relative error = 2.5377755268678191322593773071291e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.925
y[1] (analytic) = 5197590.1262931802601013625022225
y[1] (numeric) = 5197590.1262931802599694593317547
absolute error = 1.319031704678e-13
relative error = 2.5377755317899752200489195560726e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.926
y[1] (analytic) = 5207995.708659605773844115511012
y[1] (numeric) = 5207995.7086596057737119482699654
absolute error = 1.321672410466e-13
relative error = 2.5377755366971336611697187655491e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.927
y[1] (analytic) = 5218422.1230158099212140426738575
y[1] (numeric) = 5218422.1230158099210816108335619
absolute error = 1.324318402956e-13
relative error = 2.5377755416050074814210847917523e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.928
y[1] (analytic) = 5228869.41106746402891539532757
y[1] (numeric) = 5228869.4110674640287826983582978
absolute error = 1.326969692722e-13
relative error = 2.5377755464944793659813420160639e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.929
y[1] (analytic) = 5239337.614603734233283863778824
y[1] (numeric) = 5239337.6146037342331509011497865
absolute error = 1.329626290375e-13
relative error = 2.5377755513767618837862919234751e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.93
y[1] (analytic) = 5249826.775497448637006841542527
y[1] (numeric) = 5249826.7754974486368736127218732
absolute error = 1.332288206538e-13
relative error = 2.5377755562453938317834210256317e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.931
y[1] (analytic) = 5260336.9357052648004916665363095
y[1] (numeric) = 5260336.9357052648003581709911234
absolute error = 1.334955451861e-13
relative error = 2.5377755611048508293328097016207e-18 %
memory used=923.1MB, alloc=4.6MB, time=45.72
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.932
y[1] (analytic) = 5270868.137267837568551804927416
y[1] (numeric) = 5270868.1372678375684180421237142
absolute error = 1.337628037018e-13
relative error = 2.5377755659646638515179845407119e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.933
y[1] (analytic) = 5281420.422309987233082284600501
y[1] (numeric) = 5281420.4223099872329482540032324
absolute error = 1.340305972686e-13
relative error = 2.5377755707995257137709533356425e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.934
y[1] (analytic) = 5291993.83304086803239702917229
y[1] (numeric) = 5291993.8330408680322627302453308
absolute error = 1.342989269592e-13
relative error = 2.5377755756383713279278913482983e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.935
y[1] (analytic) = 5302588.41175413698790209012709
y[1] (numeric) = 5302588.4117541369877675223332443
absolute error = 1.345677938457e-13
relative error = 2.5377755804581472291423175429844e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.936
y[1] (analytic) = 5313204.200828123078780123991214
y[1] (numeric) = 5313204.20082812307864528679221
absolute error = 1.348371990040e-13
relative error = 2.5377755852670615349350980960397e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.937
y[1] (analytic) = 5323841.242725996755362813509778
y[1] (numeric) = 5323841.2427259967552277063662659
absolute error = 1.351071435121e-13
relative error = 2.5377755900722599262978904976761e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.938
y[1] (analytic) = 5334499.579995939791869286541581
y[1] (numeric) = 5334499.5799959397917339089131316
absolute error = 1.353776284494e-13
relative error = 2.5377755948666330004855307696806e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.939
y[1] (analytic) = 5345179.255271315479189943852214
y[1] (numeric) = 5345179.2552713154790542951973159
absolute error = 1.356486548981e-13
relative error = 2.5377755996550694158344064240763e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.94
y[1] (analytic) = 5355880.311270839158396467167629
y[1] (numeric) = 5355880.3112708391582605469436872
absolute error = 1.359202239418e-13
relative error = 2.5377756044281160171537678113775e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.941
y[1] (analytic) = 5366602.7907987490956601417555835
y[1] (numeric) = 5366602.7907987490955239494189161
absolute error = 1.361923366674e-13
relative error = 2.5377756091974442601080181816462e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.942
y[1] (analytic) = 5377346.736744977699261993436077
y[1] (numeric) = 5377346.7367449776991255284419144
absolute error = 1.364649941626e-13
relative error = 2.5377756139490674201294485572978e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.943
y[1] (analytic) = 5388112.1920853230793796082896265
y[1] (numeric) = 5388112.1920853230792428700921077
absolute error = 1.367381975188e-13
relative error = 2.5377756186973378392188928838817e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.944
y[1] (analytic) = 5398899.199881620951336874439395
y[1] (numeric) = 5398899.1998816209511998624915666
absolute error = 1.370119478284e-13
relative error = 2.5377756234345733782217410485789e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.945
y[1] (analytic) = 5409707.803281916883004259135355
y[1] (numeric) = 5409707.8032819168828669728891685
absolute error = 1.372862461865e-13
relative error = 2.5377756281626211531529216121495e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.946
y[1] (analytic) = 5420538.0455206388870386109712515
y[1] (numeric) = 5420538.0455206388869010498775612
absolute error = 1.375610936903e-13
relative error = 2.5377756328816128287026552014719e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.947
y[1] (analytic) = 5431389.969918770358652856423699
y[1] (numeric) = 5431389.9699187703585150199322602
absolute error = 1.378364914388e-13
relative error = 2.5377756375843774305273273531068e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.948
y[1] (analytic) = 5442263.6198840233596073420227845
y[1] (numeric) = 5442263.6198840233594692295822498
absolute error = 1.381124405347e-13
relative error = 2.5377756422913454334031819639737e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.949
y[1] (analytic) = 5453159.0389110122491159583505825
y[1] (numeric) = 5453159.0389110122489775694085018
absolute error = 1.383889420807e-13
relative error = 2.5377756469823419259849047411093e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.95
y[1] (analytic) = 5464076.2705814276623615697235985
y[1] (numeric) = 5464076.2705814276622229037264158
absolute error = 1.386659971827e-13
relative error = 2.5377756516554749766075003769901e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.951
y[1] (analytic) = 5475015.358564210837316663852821
y[1] (numeric) = 5475015.3585642108371777202458712
absolute error = 1.389436069498e-13
relative error = 2.5377756563268729870149103661155e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.952
y[1] (analytic) = 5485976.3466157282905665289964175
y[1] (numeric) = 5485976.3466157282904273072239254
absolute error = 1.392217724921e-13
relative error = 2.5377756609903216907558073566013e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.953
y[1] (analytic) = 5496959.27857994684283366213069
y[1] (numeric) = 5496959.2785799468426941616357678
absolute error = 1.395004949222e-13
relative error = 2.5377756656446937235050160239447e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.954
y[1] (analytic) = 5507964.198388608994903510470285
y[1] (numeric) = 5507964.1983886089947637306949301
absolute error = 1.397797753549e-13
relative error = 2.5377756702883705903635675239804e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.955
y[1] (analytic) = 5518991.15006140865465305027446
y[1] (numeric) = 5518991.1500614086545129906595525
absolute error = 1.400596149075e-13
relative error = 2.5377756749246025897308502664391e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.956
y[1] (analytic) = 5530040.177706167215885111288024
y[1] (numeric) = 5530040.1777061672157447712733253
absolute error = 1.403400146987e-13
relative error = 2.5377756795414880787469622367701e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.957
y[1] (analytic) = 5541111.3255190099896727623890255
y[1] (numeric) = 5541111.3255190099895321414131741
absolute error = 1.406209758514e-13
relative error = 2.5377756841625752877958997320057e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.958
y[1] (analytic) = 5552204.6377845429889194840559625
y[1] (numeric) = 5552204.6377845429887785815564742
absolute error = 1.409024994883e-13
relative error = 2.5377756887671800480014249599742e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.959
y[1] (analytic) = 5563320.1588760300668422661309315
y[1] (numeric) = 5563320.1588760300667010815441953
absolute error = 1.411845867362e-13
relative error = 2.5377756933680379049844572107728e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=927.0MB, alloc=4.6MB, time=45.90
x[1] = 6.96
y[1] (analytic) = 5574457.933255570410086185047277
y[1] (numeric) = 5574457.9332555704099447178085543
absolute error = 1.414672387227e-13
relative error = 2.5377756979516916957542913212645e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.961
y[1] (analytic) = 5585618.00547427638718043321672
y[1] (numeric) = 5585618.0054742763870386827601406
absolute error = 1.417504565794e-13
relative error = 2.5377757025359618927837794777014e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.962
y[1] (analytic) = 5596800.4201724517530471946372025
y[1] (numeric) = 5596800.4201724517529051603957641
absolute error = 1.420342414384e-13
relative error = 2.5377757071070181434964962997114e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.963
y[1] (analytic) = 5608005.2220797702102761849945685
y[1] (numeric) = 5608005.2220797702101338664001337
absolute error = 1.423185944348e-13
relative error = 2.5377757116641930790710580221817e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.964
y[1] (analytic) = 5619232.4560154543278791015943155
y[1] (numeric) = 5619232.4560154543277364980776088
absolute error = 1.426035167067e-13
relative error = 2.5377757162197705639814374292003e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.965
y[1] (analytic) = 5630482.166888454818239658379775
y[1] (numeric) = 5630482.1668884548180967693703819
absolute error = 1.428890093931e-13
relative error = 2.5377757207614785531456103955244e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.966
y[1] (analytic) = 5641754.399697630172976314075904
y[1] (numeric) = 5641754.3996976301728331390022678
absolute error = 1.431750736362e-13
relative error = 2.5377757252934205727002013178751e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.967
y[1] (analytic) = 5653049.1995319266584362371491075
y[1] (numeric) = 5653049.1995319266582927754385272
absolute error = 1.434617105803e-13
relative error = 2.5377757298163732885952181067278e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.968
y[1] (analytic) = 5664366.6115705586715404897989505
y[1] (numeric) = 5664366.6115705586713967408775782
absolute error = 1.437489213723e-13
relative error = 2.5377757343365658872868527337297e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.969
y[1] (analytic) = 5675706.6810831894567018546029665
y[1] (numeric) = 5675706.6810831894565578178958062
absolute error = 1.440367071603e-13
relative error = 2.5377757388408782386572875972696e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.97
y[1] (analytic) = 5687069.4534301121845381717268305
y[1] (numeric) = 5687069.4534301121843938466577346
absolute error = 1.443250690959e-13
relative error = 2.5377757433373957656087675889829e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.971
y[1] (analytic) = 5698454.9740624313931055017946765
y[1] (numeric) = 5698454.9740624313929608877863438
absolute error = 1.446140083327e-13
relative error = 2.5377757478287943957129337746843e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.972
y[1] (analytic) = 5709863.288522244792376879594137
y[1] (numeric) = 5709863.2885222447922319760681111
absolute error = 1.449035260259e-13
relative error = 2.5377757523053080547133118993393e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.973
y[1] (analytic) = 5721294.442442825432693876773527
y[1] (numeric) = 5721294.4424428254325486831501931
absolute error = 1.451936233339e-13
relative error = 2.5377757567727377510886515960066e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.974
y[1] (analytic) = 5732748.481548804237919647580309
y[1] (numeric) = 5732748.4815488042377741632788918
absolute error = 1.454843014172e-13
relative error = 2.5377757612330276429836543437580e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.975
y[1] (analytic) = 5744225.451656352904023590496404
y[1] (numeric) = 5744225.4516563529038778149349656
absolute error = 1.457755614384e-13
relative error = 2.5377757656842225335616392057659e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.976
y[1] (analytic) = 5755725.398673367163829220352859
y[1] (numeric) = 5755725.3986733671636831529482964
absolute error = 1.460674045626e-13
relative error = 2.5377757701273755463541684516155e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.977
y[1] (analytic) = 5767248.368599650418658310159711
y[1] (numeric) = 5767248.3685996504185119503277539
absolute error = 1.463598319571e-13
relative error = 2.5377757745612355591070042424993e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.978
y[1] (analytic) = 5778794.407527097737605829472459
y[1] (numeric) = 5778794.4075270977374591766276673
absolute error = 1.466528447917e-13
relative error = 2.5377757789873807719190034998871e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.979
y[1] (analytic) = 5790363.561639880225181676640228
y[1] (numeric) = 5790363.5616398802250347301959896
absolute error = 1.469464442384e-13
relative error = 2.5377757834049286668364774894615e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.98
y[1] (analytic) = 5801955.8772146297580566757483795
y[1] (numeric) = 5801955.8772146297579094351169077
absolute error = 1.472406314718e-13
relative error = 2.5377757878173739508185969161837e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.981
y[1] (analytic) = 5813571.4006206240916517854858695
y[1] (numeric) = 5813571.4006206240915042500782012
absolute error = 1.475354076683e-13
relative error = 2.5377757922187031545081526054321e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.982
y[1] (analytic) = 5825210.1783199723373109465410015
y[1] (numeric) = 5825210.1783199723371631157669945
absolute error = 1.478307740070e-13
relative error = 2.5377757966088587622439456262910e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.983
y[1] (analytic) = 5836872.2568678008107994764642635
y[1] (numeric) = 5836872.2568678008106513497325943
absolute error = 1.481267316692e-13
relative error = 2.5377758009850329166220316219670e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.984
y[1] (analytic) = 5848557.6829124392528714062396305
y[1] (numeric) = 5848557.6829124392527229829577912
absolute error = 1.484232818393e-13
relative error = 2.5377758053570025027932904589617e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.985
y[1] (analytic) = 5860266.5031956074226506410819675
y[1] (numeric) = 5860266.5031956074225019206562637
absolute error = 1.487204257038e-13
relative error = 2.5377758097298586651996155184826e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.986
y[1] (analytic) = 5871998.7645526020645723192339715
y[1] (numeric) = 5871998.7645526020644233010695214
absolute error = 1.490181644501e-13
relative error = 2.5377758140835364531619202462175e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.987
y[1] (analytic) = 5883754.5139124842496322367773795
y[1] (numeric) = 5883754.5139124842494829202781099
absolute error = 1.493164992696e-13
relative error = 2.5377758184256725696245944987530e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.988
y[1] (analytic) = 5895533.7982982670916937037059225
y[1] (numeric) = 5895533.798298267091544088274566
absolute error = 1.496154313565e-13
relative error = 2.5377758227708942371788823936026e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=930.8MB, alloc=4.6MB, time=46.08
TOP MAIN SOLVE Loop
x[1] = 6.989
y[1] (analytic) = 5907336.664827103839602696737741
y[1] (numeric) = 5907336.6648271038394527817758359
absolute error = 1.499149619051e-13
relative error = 2.5377758270949623786938524800681e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.99
y[1] (analytic) = 5919163.1607104763458636775786715
y[1] (numeric) = 5919163.160710476345713462486557
absolute error = 1.502150921145e-13
relative error = 2.5377758314144816208572772021132e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.991
y[1] (analytic) = 5931013.333254383912629951590953
y[1] (numeric) = 5931013.3332543839124794357677676
absolute error = 1.505158231854e-13
relative error = 2.5377758357324587477080001083143e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.992
y[1] (analytic) = 5942887.2298595325157639510805945
y[1] (numeric) = 5942887.2298595325156131339242749
absolute error = 1.508171563196e-13
relative error = 2.5377758400299436588508229046697e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.993
y[1] (analytic) = 5954784.8980215244077243396968355
y[1] (numeric) = 5954784.8980215244075732206041118
absolute error = 1.511190927237e-13
relative error = 2.5377758443283027010212077664416e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.994
y[1] (analytic) = 5966706.38533104810003834974491
y[1] (numeric) = 5966706.3853310480998869281113053
absolute error = 1.514216336047e-13
relative error = 2.5377758486149933330417759058460e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.995
y[1] (analytic) = 5978651.7394740687261192825547875
y[1] (numeric) = 5978651.7394740687259675577746149
absolute error = 1.517247801726e-13
relative error = 2.5377758528873092860787283060660e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.996
y[1] (analytic) = 5990621.008232018785190623429701
y[1] (numeric) = 5990621.00823201878503859489606
absolute error = 1.520285336410e-13
relative error = 2.5377758571622176517655495082568e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.997
y[1] (analytic) = 6002614.239481989268079747125245
y[1] (numeric) = 6002614.2394819892679274142300213
absolute error = 1.523328952237e-13
relative error = 2.5377758614194396625799885100027e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.998
y[1] (analytic) = 6014631.4811969211656457172887115
y[1] (numeric) = 6014631.4811969211654930794225723
absolute error = 1.526378661392e-13
relative error = 2.5377758656765588492392295192848e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 6.999
y[1] (analytic) = 6026672.78144579736060721382519
y[1] (numeric) = 6026672.7814457973604542703775835
absolute error = 1.529434476065e-13
relative error = 2.5377758699188726064298811952420e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7
y[1] (analytic) = 6038738.188393834903538155758013
y[1] (numeric) = 6038738.1883938349033849061171648
absolute error = 1.532496408482e-13
relative error = 2.5377758741509684545049354658565e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.001
y[1] (analytic) = 6050827.750302677673800123822394
y[1] (numeric) = 6050827.7503026776736465673753047
absolute error = 1.535564470893e-13
relative error = 2.5377758783766191163691445310212e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.002
y[1] (analytic) = 6062941.5155305894261822267788365
y[1] (numeric) = 6062941.5155305894260283629112793
absolute error = 1.538638675572e-13
relative error = 2.5377758825987096711542097932882e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.003
y[1] (analytic) = 6075079.5325326472240205982631715
y[1] (numeric) = 6075079.5325326472238664263596905
absolute error = 1.541719034810e-13
relative error = 2.5377758868076429848960694999713e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.004
y[1] (analytic) = 6087241.849860935259571256909126
y[1] (numeric) = 6087241.8498609352594167763530326
absolute error = 1.544805560934e-13
relative error = 2.5377758910125963116694614199148e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.005
y[1] (analytic) = 6099428.516164739062411611493283
y[1] (numeric) = 6099428.5161647390622568216666546
absolute error = 1.547898266284e-13
relative error = 2.5377758952035448657454812597561e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.006
y[1] (analytic) = 6111639.580190740096647444967407
y[1] (numeric) = 6111639.5801907400964923452510837
absolute error = 1.550997163233e-13
relative error = 2.5377758993840969234121493757150e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.007
y[1] (analytic) = 6123875.0907832107477037664655265
y[1] (numeric) = 6123875.0907832107475483562391084
absolute error = 1.554102264181e-13
relative error = 2.5377759035614795070986681566806e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.008
y[1] (analytic) = 6136135.096884209699479478709167
y[1] (numeric) = 6136135.0968842096993237573510126
absolute error = 1.557213581544e-13
relative error = 2.5377759077284946933771235236593e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.009
y[1] (analytic) = 6148419.647533777702647369689909
y[1] (numeric) = 6148419.6475337777024913365771322
absolute error = 1.560331127768e-13
relative error = 2.5377759118863527052156446540468e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.01
y[1] (analytic) = 6160728.7918701337348825020902595
y[1] (numeric) = 6160728.7918701337347261565987266
absolute error = 1.563454915329e-13
relative error = 2.5377759160445073979360844935340e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.011
y[1] (analytic) = 6173062.5791298715538036416179395
y[1] (numeric) = 6173062.5791298715536469831222682
absolute error = 1.566584956713e-13
relative error = 2.5377759201880942244113455964525e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.012
y[1] (analytic) = 6185421.05864815664341393628138
y[1] (numeric) = 6185421.0586481566432569641549356
absolute error = 1.569721264444e-13
relative error = 2.5377759243233597299842657828391e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.013
y[1] (analytic) = 6197804.279858923554828632631728
y[1] (numeric) = 6197804.2798589235546713462466215
absolute error = 1.572863851065e-13
relative error = 2.5377759284467144236162825110921e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.014
y[1] (analytic) = 6210212.292295073642079192145357
y[1] (numeric) = 6210212.292295073641921590872442
absolute error = 1.576012729150e-13
relative error = 2.5377759325640729984883100774757e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.015
y[1] (analytic) = 6222645.14558867319378475122699
y[1] (numeric) = 6222645.1455886731936268344358603
absolute error = 1.579167911297e-13
relative error = 2.5377759366794294895060791137013e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.016
y[1] (analytic) = 6235102.8894711519614834517834525
y[1] (numeric) = 6235102.8894711519613252188424409
absolute error = 1.582329410116e-13
relative error = 2.5377759407755495480642561157592e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.017
y[1] (analytic) = 6247585.5737735020854177559580865
y[1] (numeric) = 6247585.57377350208525920623426
memory used=934.6MB, alloc=4.6MB, time=46.27
absolute error = 1.585497238265e-13
relative error = 2.5377759448717238105317434047015e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.018
y[1] (analytic) = 6260093.2484264774185694484323075
y[1] (numeric) = 6260093.2484264774184105812914669
absolute error = 1.588671408406e-13
relative error = 2.5377759489530364044160124138946e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.019
y[1] (analytic) = 6272625.963460793249741622700094
y[1] (numeric) = 6272625.9634607932495824375067698
absolute error = 1.591851933242e-13
relative error = 2.5377759530296115587925964846976e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.02
y[1] (analytic) = 6285183.769007326426486543909639
y[1] (numeric) = 6285183.7690073264263270400270893
absolute error = 1.595038825497e-13
relative error = 2.5377759571044623772576530285643e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.021
y[1] (analytic) = 6297766.715297315878679880250452
y[1] (numeric) = 6297766.7152973158785200570406612
absolute error = 1.598232097908e-13
relative error = 2.5377759611607777552006077612363e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.022
y[1] (analytic) = 6310374.8526625635435433974502045
y[1] (numeric) = 6310374.8526625635433832542738788
absolute error = 1.601431763257e-13
relative error = 2.5377759652127496409098225882160e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.023
y[1] (analytic) = 6323008.231535635692919816739988
y[1] (numeric) = 6323008.2315356356927593529565537
absolute error = 1.604637834343e-13
relative error = 2.5377759692609004624004384019303e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.024
y[1] (analytic) = 6335666.9024500646636051456558605
y[1] (numeric) = 6335666.9024500646634443606234621
absolute error = 1.607850323984e-13
relative error = 2.5377759732952950483686321691007e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.025
y[1] (analytic) = 6348350.916040550991545403274978
y[1] (numeric) = 6348350.9160405509913842963504744
absolute error = 1.611069245036e-13
relative error = 2.5377759773254933073393049949713e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.026
y[1] (analytic) = 6361060.3230431659507062769427185
y[1] (numeric) = 6361060.3230431659505448474816813
absolute error = 1.614294610372e-13
relative error = 2.5377759813472617003958556088973e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.027
y[1] (analytic) = 6373795.174295554497425866239484
y[1] (numeric) = 6373795.1742955544972641135961948
absolute error = 1.617526432892e-13
relative error = 2.5377759853583190927415248502998e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.028
y[1] (analytic) = 6386555.520737138621062291868745
y[1] (numeric) = 6386555.5207371386209002153961926
absolute error = 1.620764725524e-13
relative error = 2.5377759893598024035714202598156e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.029
y[1] (analytic) = 6399341.413409321101749572327899
y[1] (numeric) = 6399341.4134093211015871713777761
absolute error = 1.624009501229e-13
relative error = 2.5377759933639650512584155622799e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.03
y[1] (analytic) = 6412152.9034556896760767996571225
y[1] (numeric) = 6412152.9034556896759140735798254
absolute error = 1.627260772971e-13
relative error = 2.5377759973471988925547581800537e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.031
y[1] (analytic) = 6424990.042122221611507277255152
y[1] (numeric) = 6424990.0421222216113442253997749
absolute error = 1.630518553771e-13
relative error = 2.5377760013343580101182078330457e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.032
y[1] (analytic) = 6437852.880757488690355917711292
y[1] (numeric) = 6437852.8807574886901925394256273
absolute error = 1.633782856647e-13
relative error = 2.5377760053049959379197317334394e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.033
y[1] (analytic) = 6450741.4708128626041448368365755
y[1] (numeric) = 6450741.470812862603981131467109
absolute error = 1.637053694665e-13
relative error = 2.5377760092727970982173344725996e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.034
y[1] (analytic) = 6463655.8638427207591587215902925
y[1] (numeric) = 6463655.8638427207589946884822023
absolute error = 1.640331080902e-13
relative error = 2.5377760132279126989093818229728e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.035
y[1] (analytic) = 6476596.1115046524940231943977805
y[1] (numeric) = 6476596.1115046524938588328949335
absolute error = 1.643615028470e-13
relative error = 2.5377760171741709838513667344227e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.036
y[1] (analytic) = 6489562.2655596657101310444478815
y[1] (numeric) = 6489562.2655596657099663538928309
absolute error = 1.646905550506e-13
relative error = 2.5377760211134508285652459324924e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.037
y[1] (analytic) = 6502554.377872393915742847950503
y[1] (numeric) = 6502554.3778723939155778276844855
absolute error = 1.650202660175e-13
relative error = 2.5377760250502338300135535672930e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.038
y[1] (analytic) = 6515572.5004113036845901540328195
y[1] (numeric) = 6515572.5004113036844248033957538
absolute error = 1.653506370657e-13
relative error = 2.5377760289715452277784391101092e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.039
y[1] (analytic) = 6528616.685248902529811070963476
y[1] (numeric) = 6528616.6852489025296453892939583
absolute error = 1.656816695177e-13
relative error = 2.5377760328929988520713755072052e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.04
y[1] (analytic) = 6541686.984561947194049748724292
y[1] (numeric) = 6541686.9845619471938837353595952
absolute error = 1.660133646968e-13
relative error = 2.5377760368018709036097922828092e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.041
y[1] (analytic) = 6554783.4506316523565529186051305
y[1] (numeric) = 6554783.4506316523563865728812005
absolute error = 1.663457239300e-13
relative error = 2.5377760407015441194304190439069e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.042
y[1] (analytic) = 6567906.1358438997580983184863555
y[1] (numeric) = 6567906.1358438997579316397378086
absolute error = 1.666787485469e-13
relative error = 2.5377760445945184644236664871783e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.043
y[1] (analytic) = 6581055.0926894477445915038014175
y[1] (numeric) = 6581055.0926894477444244913615377
absolute error = 1.670124398798e-13
relative error = 2.5377760484838585252029470382618e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.044
y[1] (analytic) = 6594230.373764141230169218846201
y[1] (numeric) = 6594230.373764141230001872046938
absolute error = 1.673467992630e-13
relative error = 2.5377760523624916258978478530059e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.045
y[1] (analytic) = 6607432.0317691220806491811285725
y[1] (numeric) = 6607432.0317691220804814993005381
absolute error = 1.676818280344e-13
relative error = 2.5377760562374433298812974634725e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=938.4MB, alloc=4.6MB, time=46.45
x[1] = 7.046
y[1] (analytic) = 6620660.1195110399181678128377715
y[1] (numeric) = 6620660.1195110399179997953102384
absolute error = 1.680175275331e-13
relative error = 2.5377760600933659150010887015874e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.047
y[1] (analytic) = 6633914.689902263347849138265654
y[1] (numeric) = 6633914.6899022633476807843665506
absolute error = 1.683538991034e-13
relative error = 2.5377760639529770221388474258427e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.048
y[1] (analytic) = 6647195.795961091607349754136998
y[1] (numeric) = 6647195.7959610916071810631929084
absolute error = 1.686909440896e-13
relative error = 2.5377760677983707142939551789945e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.049
y[1] (analytic) = 6660503.4908119666401264713109705
y[1] (numeric) = 6660503.4908119666399574426471299
absolute error = 1.690286638406e-13
relative error = 2.5377760716404054447416534325794e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.05
y[1] (analytic) = 6673837.8276856855932749212070705
y[1] (numeric) = 6673837.8276856855931055541473636
absolute error = 1.693670597069e-13
relative error = 2.5377760754733849642418245134162e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.051
y[1] (analytic) = 6687198.8599196137407891185933155
y[1] (numeric) = 6687198.8599196137406194124602733
absolute error = 1.697061330422e-13
relative error = 2.5377760792990687771665443295390e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.052
y[1] (analytic) = 6700586.6409578978330936740588135
y[1] (numeric) = 6700586.6409578978329236281736112
absolute error = 1.700458852023e-13
relative error = 2.5377760831101006089090556017718e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.053
y[1] (analytic) = 6714001.224351679873702054584043
y[1] (numeric) = 6714001.2243516798735316682664956
absolute error = 1.703863175474e-13
relative error = 2.5377760869242753695194108207584e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.054
y[1] (analytic) = 6727442.6637593113238559991269085
y[1] (numeric) = 6727442.6637593113236852716954703
absolute error = 1.707274314382e-13
relative error = 2.5377760907262358747063407992089e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.055
y[1] (analytic) = 6740911.012946567736002908067854
y[1] (numeric) = 6740911.0129465677358318388396146
absolute error = 1.710692282394e-13
relative error = 2.5377760945196442874698251949277e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.056
y[1] (analytic) = 6754406.325786863816969740709758
y[1] (numeric) = 6754406.3257868638167983290004398
absolute error = 1.714117093182e-13
relative error = 2.5377760983047041980663466421205e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.057
y[1] (analytic) = 6767928.6562614689216936738149575
y[1] (numeric) = 6767928.656261468921521918938913
absolute error = 1.717548760445e-13
relative error = 2.5377761020810693396719647859998e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.058
y[1] (analytic) = 6781478.058459722978371496389359
y[1] (numeric) = 6781478.0584597229781993976595675
absolute error = 1.720987297915e-13
relative error = 2.5377761058566158985536569641125e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.059
y[1] (analytic) = 6795054.5865792528458914415991125
y[1] (numeric) = 6795054.5865792528457189983271788
absolute error = 1.724432719337e-13
relative error = 2.5377761096178464115532495017381e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.06
y[1] (analytic) = 6808658.294926189104412885835661
y[1] (numeric) = 6808658.294926189104240097331811
absolute error = 1.727885038500e-13
relative error = 2.5377761133755524336719317323785e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.061
y[1] (analytic) = 6822289.2379153832799610775370045
y[1] (numeric) = 6822289.2379153832797879431100837
absolute error = 1.731344269208e-13
relative error = 2.5377761171219838995668178990337e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.062
y[1] (analytic) = 6835947.4700706255039057944337375
y[1] (numeric) = 6835947.4700706255037323133912075
absolute error = 1.734810425300e-13
relative error = 2.5377761208602102208172988456452e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.063
y[1] (analytic) = 6849633.0460248626081945674246945
y[1] (numeric) = 6849633.0460248626080207390726298
absolute error = 1.738283520647e-13
relative error = 2.5377761245995519081021079299025e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.064
y[1] (analytic) = 6863346.020520416657212852305893
y[1] (numeric) = 6863346.0205204166570386759489802
absolute error = 1.741763569128e-13
relative error = 2.5377761283204688302375416423988e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.065
y[1] (analytic) = 6877086.448409203917145277084846
y[1] (numeric) = 6877086.4484092039169707520263783
absolute error = 1.745250584677e-13
relative error = 2.5377761320431102520190639536884e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.066
y[1] (analytic) = 6890854.384652954263713842617175
y[1] (numeric) = 6890854.3846529542635389681590519
absolute error = 1.748744581231e-13
relative error = 2.5377761357513759721627430042515e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.067
y[1] (analytic) = 6904649.88432343102917070781089
y[1] (numeric) = 6904649.8843234310289954832536124
absolute error = 1.752245572776e-13
relative error = 2.5377761394598186191550049564479e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.068
y[1] (analytic) = 6918473.002602651289424947662588
y[1] (numeric) = 6918473.0026026512892493723052575
absolute error = 1.755753573305e-13
relative error = 2.5377761431525502301956146362846e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.069
y[1] (analytic) = 6932323.794783106592184432926335
y[1] (numeric) = 6932323.7947831065920085060666488
absolute error = 1.759268596862e-13
relative error = 2.5377761468469357491635589228629e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.07
y[1] (analytic) = 6946202.316267984126995744277038
y[1] (numeric) = 6946202.3162679841268194652112886
absolute error = 1.762790657494e-13
relative error = 2.5377761505240781520869229453307e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.071
y[1] (analytic) = 6960108.6225713883380668014228745
y[1] (numeric) = 6960108.6225713883378901694459446
absolute error = 1.766319769299e-13
relative error = 2.5377761541980636492525144430997e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.072
y[1] (analytic) = 6974042.7693185629807586587527625
y[1] (numeric) = 6974042.7693185629805816731581234
absolute error = 1.769855946391e-13
relative error = 2.5377761578653660336696671128211e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.073
y[1] (analytic) = 6988004.8122461136226346937821425
y[1] (numeric) = 6988004.812246113622457353861851
absolute error = 1.773399202915e-13
relative error = 2.5377761615264066185435202972031e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.074
y[1] (analytic) = 7001994.807202230589957192890486
y[1] (numeric) = 7001994.8072022305897794979351816
absolute error = 1.776949553044e-13
relative error = 2.5377761651811496450508740733815e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=942.2MB, alloc=4.6MB, time=46.63
TOP MAIN SOLVE Loop
x[1] = 7.075
y[1] (analytic) = 7016012.8101469123605231206341375
y[1] (numeric) = 7016012.81014691236034506993304
absolute error = 1.780507010975e-13
relative error = 2.5377761688233247841745094895539e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.076
y[1] (analytic) = 7030058.8771521894037326442754265
y[1] (numeric) = 7030058.877152189403554237116332
absolute error = 1.784071590945e-13
relative error = 2.5377761724631680289561703244204e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.077
y[1] (analytic) = 7044133.064402348468785774100595
y[1] (numeric) = 7044133.0644023484686070097698743
absolute error = 1.787643307207e-13
relative error = 2.5377761760931053362378564588571e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.078
y[1] (analytic) = 7058235.4281941573219042726121615
y[1] (numeric) = 7058235.4281941573217251503947564
absolute error = 1.791222174051e-13
relative error = 2.5377761797176018160659140880861e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.079
y[1] (analytic) = 7072366.024937089933477781782999
y[1] (numeric) = 7072366.0249370899332983009624203
absolute error = 1.794808205787e-13
relative error = 2.5377761833289237414026126632616e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.08
y[1] (analytic) = 7086524.9111535521160349172568945
y[1] (numeric) = 7086524.9111535521158550771152175
absolute error = 1.798401416770e-13
relative error = 2.5377761869424576551060912334607e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.081
y[1] (analytic) = 7100712.143479107613941881680806
y[1] (numeric) = 7100712.1434791076137616814986698
absolute error = 1.802001821362e-13
relative error = 2.5377761905428831442534483232833e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.082
y[1] (analytic) = 7114927.778662704645732956264738
y[1] (numeric) = 7114927.7786627046455523953213411
absolute error = 1.805609433969e-13
relative error = 2.5377761941364015243156985403564e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.083
y[1] (analytic) = 7129171.8735669028999790401932445
y[1] (numeric) = 7129171.8735669028997981177663422
absolute error = 1.809224269023e-13
relative error = 2.5377761977251922698892977576886e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.084
y[1] (analytic) = 7143444.485168100985602221665386
y[1] (numeric) = 7143444.485168100985420937031288
absolute error = 1.812846340980e-13
relative error = 2.5377762013045723724586122109213e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.085
y[1] (analytic) = 7157745.670556764337546182124691
y[1] (numeric) = 7157745.6705567643373645345582578
absolute error = 1.816475664332e-13
relative error = 2.5377762048797490610545348350892e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.086
y[1] (analytic) = 7172075.48693765357871405666461
y[1] (numeric) = 7172075.4869376535785320454392506
absolute error = 1.820112253594e-13
relative error = 2.5377762084475145269230645355889e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.087
y[1] (analytic) = 7186433.99163005333908719866539
y[1] (numeric) = 7186433.9916300533389048230530589
absolute error = 1.823756123311e-13
relative error = 2.5377762120059895536261057539286e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.088
y[1] (analytic) = 7200821.2420680015329401254425185
y[1] (numeric) = 7200821.2420680015327573847137125
absolute error = 1.827407288060e-13
relative error = 2.5377762155573070296032649244494e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.089
y[1] (analytic) = 7215237.2958005190950687540722215
y[1] (numeric) = 7215237.295800519094885647495977
absolute error = 1.831065762445e-13
relative error = 2.5377762191005613596522211757596e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.09
y[1] (analytic) = 7229682.2104918401769508726132765
y[1] (numeric) = 7229682.2104918401767673994571663
absolute error = 1.834731561102e-13
relative error = 2.5377762226386738641442550423695e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.091
y[1] (analytic) = 7244156.0439216428037596316739505
y[1] (numeric) = 7244156.0439216428035757912040815
absolute error = 1.838404698690e-13
relative error = 2.5377762261658499732019050994132e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.092
y[1] (analytic) = 7258658.8539852799931526846855765
y[1] (numeric) = 7258658.8539852799929684761665856
absolute error = 1.842085189909e-13
relative error = 2.5377762296923833477459121162648e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.093
y[1] (analytic) = 7273190.69869401133676145234748
y[1] (numeric) = 7273190.6986940113365768750425331
absolute error = 1.845773049469e-13
relative error = 2.5377762332017923014720025834129e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.094
y[1] (analytic) = 7287751.636175235045306837509102
y[1] (numeric) = 7287751.6361752350451218906798881
absolute error = 1.849468292139e-13
relative error = 2.5377762367182421728429032925661e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.095
y[1] (analytic) = 7302341.724672720458269571261552
y[1] (numeric) = 7302341.724672720458084254168284
absolute error = 1.853170932680e-13
relative error = 2.5377762402143077253634975664731e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.096
y[1] (analytic) = 7316961.022546841019045229230013
y[1] (numeric) = 7316961.0225468410188595411314212
absolute error = 1.856880985918e-13
relative error = 2.5377762437111749661005925575097e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.097
y[1] (analytic) = 7331609.588274807716515818997672
y[1] (numeric) = 7331609.5882748077163297591510031
absolute error = 1.860598466689e-13
relative error = 2.5377762472030581757810373732560e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.098
y[1] (analytic) = 7346287.4804509029939717052587995
y[1] (numeric) = 7346287.4804509029937852729198137
absolute error = 1.864323389858e-13
relative error = 2.5377762506832511121027669407428e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.099
y[1] (analytic) = 7360994.757786715126319508700551
y[1] (numeric) = 7360994.757786715126132703123518
absolute error = 1.868055770330e-13
relative error = 2.5377762541589992649465832619106e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.1
y[1] (analytic) = 7375731.479111373066513487757585
y[1] (numeric) = 7375731.4791113730663263081952819
absolute error = 1.871795623031e-13
relative error = 2.5377762576255197855560548046706e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.101
y[1] (analytic) = 7390497.703371781762149789278161
y[1] (numeric) = 7390497.7033717817619622349818686
absolute error = 1.875542962924e-13
relative error = 2.5377762610876899787747508496721e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.102
y[1] (analytic) = 7405293.489632857943164834792468
y[1] (numeric) = 7405293.4896328579429769050119688
absolute error = 1.879297804992e-13
relative error = 2.5377762645369136338645701400922e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=946.0MB, alloc=4.6MB, time=46.82
x[1] = 7.103
y[1] (analytic) = 7420118.8970777663815809934911205
y[1] (numeric) = 7420118.8970777663813926874746939
absolute error = 1.883060164266e-13
relative error = 2.5377762679889098712883313030763e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.104
y[1] (analytic) = 7434973.985008156624244581211515
y[1] (numeric) = 7434973.9850081566240558982059367
absolute error = 1.886830055783e-13
relative error = 2.5377762714268999977593272558321e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.105
y[1] (analytic) = 7449858.8128444001995031166997025
y[1] (numeric) = 7449858.8128444001993140559502399
absolute error = 1.890607494626e-13
relative error = 2.5377762748555430216947449919322e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.106
y[1] (analytic) = 7464773.440125828298770662173064
y[1] (numeric) = 7464773.4401258282985812229234725
absolute error = 1.894392495915e-13
relative error = 2.5377762782885847273942723772132e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.107
y[1] (analytic) = 7479717.926510969933931974762063
y[1] (numeric) = 7479717.9265109699337421562545853
absolute error = 1.898185074777e-13
relative error = 2.5377762817085774446892204382905e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.108
y[1] (analytic) = 7494692.331777790571538098765233
y[1] (numeric) = 7494692.3317777905713479002405946
absolute error = 1.901985246384e-13
relative error = 2.5377762851178128679292389810208e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.109
y[1] (analytic) = 7509696.715823931244747935817936
y[1] (numeric) = 7509696.7158239312445573565153418
absolute error = 1.905793025942e-13
relative error = 2.5377762885233970229255950429817e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.11
y[1] (analytic) = 7524731.138666948143972241059994
y[1] (numeric) = 7524731.1386669481437812802171261
absolute error = 1.909608428679e-13
relative error = 2.5377762919211738635127852028864e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.111
y[1] (analytic) = 7539795.6604445526871784081976345
y[1] (numeric) = 7539795.6604445526869870650506487
absolute error = 1.913431469858e-13
relative error = 2.5377762953129985393345448964681e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.112
y[1] (analytic) = 7554890.34141485207081632499898
y[1] (numeric) = 7554890.3414148520706245987825028
absolute error = 1.917262164772e-13
relative error = 2.5377762986999784762614763392394e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.113
y[1] (analytic) = 7570015.2419565903023275032472395
y[1] (numeric) = 7570015.2419565903021353931943657
absolute error = 1.921100528738e-13
relative error = 2.5377763020744739607531532244236e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.114
y[1] (analytic) = 7585170.4225693897152016135095015
y[1] (numeric) = 7585170.4225693897150091188517898
absolute error = 1.924946577117e-13
relative error = 2.5377763054464719147738656334465e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.115
y[1] (analytic) = 7600355.943873992967546485269281
y[1] (numeric) = 7600355.9438739929673536052367519
absolute error = 1.928800325291e-13
relative error = 2.5377763088130675662082345529355e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.116
y[1] (analytic) = 7615571.866612505525139567025493
y[1] (numeric) = 7615571.8666125055249463008466254
absolute error = 1.932661788676e-13
relative error = 2.5377763121755823224771786515938e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.117
y[1] (analytic) = 7630818.2516486386299307788869985
y[1] (numeric) = 7630818.2516486386297371257887274
absolute error = 1.936530982711e-13
relative error = 2.5377763155250256330115111457132e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.118
y[1] (analytic) = 7646095.1599679527549686319980965
y[1] (numeric) = 7646095.1599679527547745912058085
absolute error = 1.940407922880e-13
relative error = 2.5377763188708900059681782076840e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.119
y[1] (analytic) = 7661402.6526781015467234348240385
y[1] (numeric) = 7661402.6526781015465290055615701
absolute error = 1.944292624684e-13
relative error = 2.5377763222043390848628024532581e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.12
y[1] (analytic) = 7676740.7910090762557833559146575
y[1] (numeric) = 7676740.7910090762555885374042903
absolute error = 1.948185103672e-13
relative error = 2.5377763255386912923771879027321e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.121
y[1] (analytic) = 7692109.6363134506569010662562585
y[1] (numeric) = 7692109.6363134506567058577187178
absolute error = 1.952085375407e-13
relative error = 2.5377763288649169147969896982628e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.122
y[1] (analytic) = 7707509.2500666264593706417249115
y[1] (numeric) = 7707509.2500666264591750423793624
absolute error = 1.955993455491e-13
relative error = 2.5377763321842159253084194689750e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.123
y[1] (analytic) = 7722939.693867079208716367475962
y[1] (numeric) = 7722939.6938670792085203765400065
absolute error = 1.959909359555e-13
relative error = 2.5377763354948869083600612732941e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.124
y[1] (analytic) = 7738401.0294366046806770513528505
y[1] (numeric) = 7738401.0294366046804806680425242
absolute error = 1.963833103263e-13
relative error = 2.5377763387974442196577410511770e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.125
y[1] (analytic) = 7753893.3186205657684714225810175
y[1] (numeric) = 7753893.3186205657682746461107861
absolute error = 1.967764702314e-13
relative error = 2.5377763420970944643138461051945e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.126
y[1] (analytic) = 7769416.623388139864332165137672
y[1] (numeric) = 7769416.6233881398641349947204288
absolute error = 1.971704172432e-13
relative error = 2.5377763453907378180245465731288e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.127
y[1] (analytic) = 7784971.005832566736298112263401
y[1] (numeric) = 7784971.0058325667361005471104636
absolute error = 1.975651529374e-13
relative error = 2.5377763486772462074092522527409e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.128
y[1] (analytic) = 7800556.5281713969012561096148985
y[1] (numeric) = 7800556.5281713969010581489360059
absolute error = 1.979606788926e-13
relative error = 2.5377763519522350927823893183736e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.129
y[1] (analytic) = 7816173.252746740495226039557433
y[1] (numeric) = 7816173.2527467404950276825607412
absolute error = 1.983569966918e-13
relative error = 2.5377763552272062184996078368314e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.13
y[1] (analytic) = 7831821.2420255166418844880689715
y[1] (numeric) = 7831821.242025516641685733961052
absolute error = 1.987541079195e-13
relative error = 2.5377763584922798560316568934832e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.131
y[1] (analytic) = 7847500.55859970332032452868313
y[1] (numeric) = 7847500.5585997033201253766689655
absolute error = 1.991520141645e-13
relative error = 2.5377763617520072930227651458744e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=949.9MB, alloc=4.6MB, time=47.01
TOP MAIN SOLVE Loop
x[1] = 7.132
y[1] (analytic) = 7863211.265186587733051094843232
y[1] (numeric) = 7863211.2651865877328515441262139
absolute error = 1.995507170181e-13
relative error = 2.5377763650022548467116101887841e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.133
y[1] (analytic) = 7878953.4246290171752134129827965
y[1] (numeric) = 7878953.4246290171750134627647211
absolute error = 1.999502180754e-13
relative error = 2.5377763682467092951204759897206e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.134
y[1] (analytic) = 7894727.0998956504060779735966755
y[1] (numeric) = 7894727.0998956504058776230777409
absolute error = 2.003505189346e-13
relative error = 2.5377763714878524342949955833442e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.135
y[1] (analytic) = 7910532.3540812095237475265298885
y[1] (numeric) = 7910532.3540812095235467749086923
absolute error = 2.007516211962e-13
relative error = 2.5377763747167790661224474583470e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.136
y[1] (analytic) = 7926369.250406732344133599695972
y[1] (numeric) = 7926369.2504067323439324461695065
absolute error = 2.011535264655e-13
relative error = 2.5377763779447701436457363608686e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.137
y[1] (analytic) = 7942237.8522198252851920574514155
y[1] (numeric) = 7942237.8522198252849905012150658
absolute error = 2.015562363497e-13
relative error = 2.5377763811664970246293257568232e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.138
y[1] (analytic) = 7958138.2229949167574332359056065
y[1] (numeric) = 7958138.2229949167572312761531468
absolute error = 2.019597524597e-13
relative error = 2.5377763843827245035954966653937e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.139
y[1] (analytic) = 7974070.426333511061720217544672
y[1] (numeric) = 7974070.4263335110615178534682631
absolute error = 2.023640764089e-13
relative error = 2.5377763875851205709639650644053e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.14
y[1] (analytic) = 7990034.5259644427953708367008525
y[1] (numeric) = 7990034.5259644427951680674910365
absolute error = 2.027692098160e-13
relative error = 2.5377763907913101093438787102325e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.141
y[1] (analytic) = 8006030.5857441317675810406146275
y[1] (numeric) = 8006030.5857441317673778654603274
absolute error = 2.031751543001e-13
relative error = 2.5377763939833312498168209774308e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.142
y[1] (analytic) = 8022058.6696568384251892681229405
y[1] (numeric) = 8022058.6696568384249856862114545
absolute error = 2.035819114860e-13
relative error = 2.5377763971739772061492199722270e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.143
y[1] (analytic) = 8038118.841814919789803549371588
y[1] (numeric) = 8038118.8418149197895995598885879
absolute error = 2.039894830001e-13
relative error = 2.5377764003554019846885674650218e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.144
y[1] (analytic) = 8054211.1664590859073150754014355
y[1] (numeric) = 8054211.1664590859071106775309627
absolute error = 2.043978704728e-13
relative error = 2.5377764035290433329101866040612e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.145
y[1] (analytic) = 8070335.707958656810824036004663
y[1] (numeric) = 8070335.707958656810619228929125
absolute error = 2.048070755380e-13
relative error = 2.5377764066992539748345826060691e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.146
y[1] (analytic) = 8086492.5308118199980055778970105
y[1] (numeric) = 8086492.5308118199978003607971787
absolute error = 2.052170998318e-13
relative error = 2.5377764098571154384051837996391e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.147
y[1] (analytic) = 8102681.699645888423945793013164
y[1] (numeric) = 8102681.6996458884237401650681687
absolute error = 2.056279449953e-13
relative error = 2.5377764130150461180384205521962e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.148
y[1] (analytic) = 8118903.2792175590104797086132165
y[1] (numeric) = 8118903.2792175590102736690005451
absolute error = 2.060396126714e-13
relative error = 2.5377764161670934809124908584174e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.149
y[1] (analytic) = 8135157.334413171673065316896853
y[1] (numeric) = 8135157.3344131716728588647923465
absolute error = 2.064521045065e-13
relative error = 2.5377764193099332467032045350145e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.15
y[1] (analytic) = 8151443.930248968866229751966743
y[1] (numeric) = 8151443.9302489688660228865445919
absolute error = 2.068654221511e-13
relative error = 2.5377764224501232239179490688307e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.151
y[1] (analytic) = 8167763.1318713556486257962719055
y[1] (numeric) = 8167763.1318713556484185167046479
absolute error = 2.072795672576e-13
relative error = 2.5377764255769887576364031266304e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.152
y[1] (analytic) = 8184115.0045571602687389771038355
y[1] (numeric) = 8184115.0045571602685312825623517
absolute error = 2.076945414838e-13
relative error = 2.5377764287054795891994546834628e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.153
y[1] (analytic) = 8200499.6137138952722875963212115
y[1] (numeric) = 8200499.6137138952720794859747232
absolute error = 2.081103464883e-13
relative error = 2.5377764318197393472885958122720e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.154
y[1] (analytic) = 8216917.0248800191323601232514635
y[1] (numeric) = 8216917.0248800191321515962675277
absolute error = 2.085269839358e-13
relative error = 2.5377764349378329786091364876080e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.155
y[1] (analytic) = 8233367.3037251984033364716675935
y[1] (numeric) = 8233367.3037251984031275272121024
absolute error = 2.089444554911e-13
relative error = 2.5377764380384535091728793230144e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.156
y[1] (analytic) = 8249850.516050570399641776874917
y[1] (numeric) = 8249850.5160505703994324141120914
absolute error = 2.093627628256e-13
relative error = 2.5377764411400231522898132934712e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.157
y[1] (analytic) = 8266366.72778900640038338827305
y[1] (numeric) = 8266366.7277890064001736063654379
absolute error = 2.097819076121e-13
relative error = 2.5377764442373109516599558929787e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.158
y[1] (analytic) = 8282916.0050053753809238962920685
y[1] (numeric) = 8282916.0050053753807136944005419
absolute error = 2.102018915266e-13
relative error = 2.5377764473233190157040527574019e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.159
y[1] (analytic) = 8299498.413896808272445120346583
y[1] (numeric) = 8299498.4138968082722344976303336
absolute error = 2.106227162494e-13
relative error = 2.5377764504024733868772713029056e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.16
y[1] (analytic) = 8316114.020792962750560096416026
y[1] (numeric) = 8316114.0207929627503490520325616
absolute error = 2.110443834644e-13
relative error = 2.5377764534820119990538870934608e-18 %
Correct digits = 19
h = 0.001
memory used=953.7MB, alloc=4.6MB, time=47.19
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.161
y[1] (analytic) = 8332762.892156288554032219052153
y[1] (numeric) = 8332762.8921562885538207521572956
absolute error = 2.114668948574e-13
relative error = 2.5377764565514742102598833334359e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.162
y[1] (analytic) = 8349445.094582293334662813044091
y[1] (numeric) = 8349445.0945822933344509227919724
absolute error = 2.118902521186e-13
relative error = 2.5377764596127386286281159578396e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.163
y[1] (analytic) = 8366160.694799809039410534645678
y[1] (numeric) = 8366160.6947998090391982201887362
absolute error = 2.123144569418e-13
relative error = 2.5377764626702571253710892579422e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.164
y[1] (analytic) = 8382909.7596712588258081311978795
y[1] (numeric) = 8382909.7596712588255953916868561
absolute error = 2.127395110234e-13
relative error = 2.5377764657190192174008278078117e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.165
y[1] (analytic) = 8399692.3561929245117442211692095
y[1] (numeric) = 8399692.3561929245115310557531454
absolute error = 2.131654160641e-13
relative error = 2.5377764687648044515890810747200e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.166
y[1] (analytic) = 8416508.55149521456067989409787
y[1] (numeric) = 8416508.5514952145604663019241029
absolute error = 2.135921737671e-13
relative error = 2.5377764718026074681062247150965e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.167
y[1] (analytic) = 8433358.41284293260337207165933
y[1] (numeric) = 8433358.4128429326031580518734904
absolute error = 2.140197858396e-13
relative error = 2.5377764748344512159329055370494e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.168
y[1] (analytic) = 8450242.0076355464971777171108105
y[1] (numeric) = 8450242.0076355464969632688568181
absolute error = 2.144482539924e-13
relative error = 2.5377764778645025436930318987703e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.169
y[1] (analytic) = 8467159.4034074579240151306882615
y[1] (numeric) = 8467159.4034074579238002531083232
absolute error = 2.148775799383e-13
relative error = 2.5377764808800733597676171340000e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.17
y[1] (analytic) = 8484110.667828272528060723160482
y[1] (numeric) = 8484110.6678282725278454153950861
absolute error = 2.153077653959e-13
relative error = 2.5377764838964976523248827148360e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.171
y[1] (analytic) = 8501095.8687030705942618186876475
y[1] (numeric) = 8501095.8687030705940460798755625
absolute error = 2.157388120850e-13
relative error = 2.5377764869026605802829273417972e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.172
y[1] (analytic) = 8518115.073972678268748201396378
y[1] (numeric) = 8518115.0739726782685320306746476
absolute error = 2.161707217304e-13
relative error = 2.5377764899057920906451396976403e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.173
y[1] (analytic) = 8535168.3517139393222272876791455
y[1] (numeric) = 8535168.3517139393220106841830857
absolute error = 2.166034960598e-13
relative error = 2.5377764929065992093504892861940e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.174
y[1] (analytic) = 8552255.7701399874574499781610695
y[1] (numeric) = 8552255.7701399874572329410242661
absolute error = 2.170371368034e-13
relative error = 2.5377764958945729847791261494196e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.175
y[1] (analytic) = 8569377.3976005191618364195605855
y[1] (numeric) = 8569377.3976005191616189479148891
absolute error = 2.174716456964e-13
relative error = 2.5377764988771933513626887942452e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.176
y[1] (analytic) = 8586533.3025820671063530873108315
y[1] (numeric) = 8586533.3025820671061351802863541
absolute error = 2.179070244774e-13
relative error = 2.5377765018610352062885281688945e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.177
y[1] (analytic) = 8603723.553708274091734784814618
y[1] (numeric) = 8603723.5537082740915164415397312
absolute error = 2.183432748868e-13
relative error = 2.5377765048330997497605743364568e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.178
y[1] (analytic) = 8620948.2197401675431473445862455
y[1] (numeric) = 8620948.2197401675429285641875755
absolute error = 2.187803986700e-13
relative error = 2.5377765077980478468717816753493e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.179
y[1] (analytic) = 8638207.3695764345543890102969575
y[1] (numeric) = 8638207.3695764345541697918993817
absolute error = 2.192183975758e-13
relative error = 2.5377765107594209605830424448133e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.18
y[1] (analytic) = 8655501.072253697482730676896288
y[1] (numeric) = 8655501.0722536974825110196229323
absolute error = 2.196572733557e-13
relative error = 2.5377765137114840030070489450507e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.181
y[1] (analytic) = 8672829.3969467900954973685377265
y[1] (numeric) = 8672829.3969467900952772715099605
absolute error = 2.200970277660e-13
relative error = 2.5377765166634506146392127548278e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.182
y[1] (analytic) = 8690192.412969034269495541002799
y[1] (numeric) = 8690192.4129690342692750033402341
absolute error = 2.205376625649e-13
relative error = 2.5377765196058822988671907621522e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.183
y[1] (analytic) = 8707590.189772517244393006701719
y[1] (numeric) = 8707590.1897725172441720275222035
absolute error = 2.209791795155e-13
relative error = 2.5377765225452462866150715780473e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.184
y[1] (analytic) = 8725022.796948369431160496139968
y[1] (numeric) = 8725022.7969483694309390745595846
absolute error = 2.214215803834e-13
relative error = 2.5377765254761691192401676736990e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.185
y[1] (analytic) = 8742490.304227042776686089987472
y[1] (numeric) = 8742490.3042270427764642251205339
absolute error = 2.218648669381e-13
relative error = 2.5377765283974876193793315430248e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.186
y[1] (analytic) = 8759992.7814785896856759805792505
y[1] (numeric) = 8759992.7814785896854536715382968
absolute error = 2.223090409537e-13
relative error = 2.5377765313201171150097121142952e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.187
y[1] (analytic) = 8777530.298712942500957250822477
y[1] (numeric) = 8777530.2987129425007344967182713
absolute error = 2.227541042057e-13
relative error = 2.5377765342303932940312317397956e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.188
y[1] (analytic) = 8795102.926080193543300592093718
y[1] (numeric) = 8795102.9260801935430773920352428
absolute error = 2.232000584752e-13
relative error = 2.5377765371379903630000791090463e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=957.5MB, alloc=4.6MB, time=47.38
x[1] = 7.189
y[1] (analytic) = 8812710.7338708757118831207905945
y[1] (numeric) = 8812710.7338708757116594738850486
absolute error = 2.236469055459e-13
relative error = 2.5377765400415658972805431471841e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.19
y[1] (analytic) = 8830353.7925162436465136957632765
y[1] (numeric) = 8830353.7925162436462896011160717
absolute error = 2.240946472048e-13
relative error = 2.5377765429367169101345819165105e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.191
y[1] (analytic) = 8848032.1725885554527453859019605
y[1] (numeric) = 8848032.172588555452520842616717
absolute error = 2.245432852435e-13
relative error = 2.5377765458306222099145907773508e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.192
y[1] (analytic) = 8865745.9448013549910019887058295
y[1] (numeric) = 8865745.944801354990776995884374
absolute error = 2.249928214555e-13
relative error = 2.5377765487113917796066190420761e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.193
y[1] (analytic) = 8883495.180009754730847756715965
y[1] (numeric) = 8883495.1800097547306223134583251
absolute error = 2.254432576399e-13
relative error = 2.5377765515898264575618864755134e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.194
y[1] (analytic) = 8901279.9492107191715317492682435
y[1] (numeric) = 8901279.9492107191713058546726451
absolute error = 2.258945955984e-13
relative error = 2.5377765544654079081487331470531e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.195
y[1] (analytic) = 8919100.323543348829940492121528
y[1] (numeric) = 8919100.3235433488297141452843923
absolute error = 2.263468371357e-13
relative error = 2.5377765573308152234048922160980e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.196
y[1] (analytic) = 8936956.374289164797094897150443
y[1] (numeric) = 8936956.3742891647968680971663815
absolute error = 2.267999840615e-13
relative error = 2.5377765601942910811281120140940e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.197
y[1] (analytic) = 8954848.1728723938643296684698125
y[1] (numeric) = 8954848.1728723938641024144316246
absolute error = 2.272540381879e-13
relative error = 2.5377765630503712014644330615964e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.198
y[1] (analytic) = 8972775.7908602542202957000885645
y[1] (numeric) = 8972775.7908602542200679910872334
absolute error = 2.277090013311e-13
relative error = 2.5377765658988863466316429792030e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.199
y[1] (analytic) = 8990739.299963241719928253483615
y[1] (numeric) = 8990739.2999632417197000886083035
absolute error = 2.281648753115e-13
relative error = 2.5377765687459410931727804831064e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.2
y[1] (analytic) = 9008738.772035416726525991348134
y[1] (numeric) = 9008738.772035416726297369686182
absolute error = 2.286216619520e-13
relative error = 2.5377765715848997936933529387635e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.201
y[1] (analytic) = 9026774.27907469152808823621279
y[1] (numeric) = 9026774.2790746915278591568497101
absolute error = 2.290793630799e-13
relative error = 2.5377765744174812981063829277678e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.202
y[1] (analytic) = 9044845.893223118329060119672223
y[1] (numeric) = 9044845.8932231183288305816916968
absolute error = 2.295379805262e-13
relative error = 2.5377765772458557388222595501749e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.203
y[1] (analytic) = 9062953.686767177818637589581335
y[1] (numeric) = 9062953.6867671778184075920652097
absolute error = 2.299975161253e-13
relative error = 2.5377765800692489712357679787596e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.204
y[1] (analytic) = 9081097.732138068316786548826185
y[1] (numeric) = 9081097.7321380683165560908544698
absolute error = 2.304579717152e-13
relative error = 2.5377765828860934737510429275349e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.205
y[1] (analytic) = 9099278.1019119954991327101315705
y[1] (numeric) = 9099278.1019119954989017907824327
absolute error = 2.309193491378e-13
relative error = 2.5377765856972524655931196173172e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.206
y[1] (analytic) = 9117494.8688104627018810668510145
y[1] (numeric) = 9117494.8688104627016496852007764
absolute error = 2.313816502381e-13
relative error = 2.5377765884971405425436090432147e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.207
y[1] (analytic) = 9135748.1057005618079261998041175
y[1] (numeric) = 9135748.1057005618076943549272511
absolute error = 2.318448768664e-13
relative error = 2.5377765912977884850610854973926e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.208
y[1] (analytic) = 9154037.885595264715316964990342
y[1] (numeric) = 9154037.8855952647150846559594671
absolute error = 2.323090308749e-13
relative error = 2.5377765940914446126066146606408e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.209
y[1] (analytic) = 9172364.2816537153892414364266165
y[1] (numeric) = 9172364.2816537153890086623124963
absolute error = 2.327741141202e-13
relative error = 2.5377765968779469132996730611369e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.21
y[1] (analytic) = 9190727.3671815224987003124379245
y[1] (numeric) = 9190727.3671815224984670723094614
absolute error = 2.332401284631e-13
relative error = 2.5377765996623906220246496383991e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.211
y[1] (analytic) = 9209127.215631052639039332484687
y[1] (numeric) = 9209127.2156310526388056254089198
absolute error = 2.337070757672e-13
relative error = 2.5377766024397925941495529645037e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.212
y[1] (analytic) = 9227563.900601724141513595047574
y[1] (numeric) = 9227563.9006017241412794200896734
absolute error = 2.341749579006e-13
relative error = 2.5377766052135340456298114184322e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.213
y[1] (analytic) = 9246037.4958403014710590152187565
y[1] (numeric) = 9246037.4958403014708243714420221
absolute error = 2.346437767344e-13
relative error = 2.5377766079789732220955168236346e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.214
y[1] (analytic) = 9264548.075241190213448513477965
y[1] (numeric) = 9264548.0752411902132133999438209
absolute error = 2.351135341441e-13
relative error = 2.5377766107385559783574572883078e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.215
y[1] (analytic) = 9283095.712846732653012884671422
y[1] (numeric) = 9283095.7128467326527773004394135
absolute error = 2.355842320085e-13
relative error = 2.5377766134898148592207162905061e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.216
y[1] (analytic) = 9301680.482847503942108658471231
y[1] (numeric) = 9301680.4828475039418726025990199
absolute error = 2.360558722111e-13
relative error = 2.5377766162403883261602125140082e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.217
y[1] (analytic) = 9320302.459582608863517629581553
y[1] (numeric) = 9320302.4595826088632811011249148
absolute error = 2.365284566382e-13
relative error = 2.5377766189874534894801644400012e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=961.3MB, alloc=4.6MB, time=47.56
TOP MAIN SOLVE Loop
x[1] = 7.218
y[1] (analytic) = 9338961.7175399791869651076853785
y[1] (numeric) = 9338961.7175399791867281056981992
absolute error = 2.370019871793e-13
relative error = 2.5377766217220326402911497420835e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.219
y[1] (analytic) = 9357658.3313566716209463136013705
y[1] (numeric) = 9357658.3313566716207088371356408
absolute error = 2.374764657297e-13
relative error = 2.5377766244567587747455815600561e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.22
y[1] (analytic) = 9376392.3758191663610527293536245
y[1] (numeric) = 9376392.3758191663608147774594378
absolute error = 2.379518941867e-13
relative error = 2.5377766271850519433007571853898e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.221
y[1] (analytic) = 9395163.9258636662359925958578215
y[1] (numeric) = 9395163.9258636662357541675833694
absolute error = 2.384282744521e-13
relative error = 2.5377766299078393153483505026343e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.222
y[1] (analytic) = 9413973.056576396452502142704618
y[1] (numeric) = 9413973.0565763964522632370961869
absolute error = 2.389056084311e-13
relative error = 2.5377766326217148832802023754911e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.223
y[1] (analytic) = 9432819.843193904940346530084856
y[1] (numeric) = 9432819.8431939049401071461868225
absolute error = 2.393838980335e-13
relative error = 2.5377766353316234508851102332949e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.224
y[1] (analytic) = 9451704.361103363298611883260818
y[1] (numeric) = 9451704.3611033632983720201156454
absolute error = 2.398631451726e-13
relative error = 2.5377766380390584283481597593232e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.225
y[1] (analytic) = 9470626.685842868344492205152929
y[1] (numeric) = 9470626.6858428683442518618011639
absolute error = 2.403433517651e-13
relative error = 2.5377766407409594145699005414566e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.226
y[1] (analytic) = 9489586.8931017442657773625916205
y[1] (numeric) = 9489586.8931017442655365380718888
absolute error = 2.408245197317e-13
relative error = 2.5377766434359995462772632755035e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.227
y[1] (analytic) = 9508585.058720845378250756589171
y[1] (numeric) = 9508585.0587208453780094499381736
absolute error = 2.413066509974e-13
relative error = 2.5377766461276425417875441652126e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.228
y[1] (analytic) = 9527621.2586928594892077066258795
y[1] (numeric) = 9527621.2586928594889659168783893
absolute error = 2.417897474902e-13
relative error = 2.5377766488103695533550985185899e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.229
y[1] (analytic) = 9546695.569162611868308003428598
y[1] (numeric) = 9546695.569162611868065729617455
absolute error = 2.422738111430e-13
relative error = 2.5377766514895901356203441806659e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.23
y[1] (analytic) = 9565808.0664273698269785140571225
y[1] (numeric) = 9565808.0664273698267357552132307
absolute error = 2.427588438918e-13
relative error = 2.5377766541626354674551759059554e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.231
y[1] (analytic) = 9584958.8269371479075841573149745
y[1] (numeric) = 9584958.8269371479073409124672978
absolute error = 2.432448476767e-13
relative error = 2.5377766568291910486435933652285e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.232
y[1] (analytic) = 9604147.927295013683588006575391
y[1] (numeric) = 9604147.9272950136833442747509489
absolute error = 2.437318244421e-13
relative error = 2.5377766594932749164807010047734e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.233
y[1] (analytic) = 9623375.444257394171923721070666
y[1] (numeric) = 9623375.4442573941716795012945306
absolute error = 2.442197761354e-13
relative error = 2.5377766621496047990537755038561e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.234
y[1] (analytic) = 9642641.4547343828588059555431245
y[1] (numeric) = 9642641.4547343828585612468384155
absolute error = 2.447087047090e-13
relative error = 2.5377766648043512660809899005261e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.235
y[1] (analytic) = 9661946.0357900473402068519087265
y[1] (numeric) = 9661946.0357900473399616532966088
absolute error = 2.451986121177e-13
relative error = 2.5377766674480330290774257020120e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.236
y[1] (analytic) = 9681289.2646427375782291752494665
y[1] (numeric) = 9681289.2646427375779834857491443
absolute error = 2.456895003222e-13
relative error = 2.5377766700917444634447120806855e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.237
y[1] (analytic) = 9700671.2186653947746091200381075
y[1] (numeric) = 9700671.218665394774362938666822
absolute error = 2.461813712855e-13
relative error = 2.5377766727297587978968961648606e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.238
y[1] (analytic) = 9720091.975385860862584281018318
y[1] (numeric) = 9720091.9753858608623376067913433
absolute error = 2.466742269747e-13
relative error = 2.5377766753581332550096617582026e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.239
y[1] (analytic) = 9739551.612487188618364756624746
y[1] (numeric) = 9739551.6124871886181175885553838
absolute error = 2.471680693622e-13
relative error = 2.5377766779869315493631212291771e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.24
y[1] (analytic) = 9759050.2078079523934478312409215
y[1] (numeric) = 9759050.207807952393200168340499
absolute error = 2.476629004225e-13
relative error = 2.5377766806072132401385553902101e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.241
y[1] (analytic) = 9778587.839342559469019165968037
y[1] (numeric) = 9778587.8393425594687710072459016
absolute error = 2.481587221354e-13
relative error = 2.5377766832238669392705970646199e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.242
y[1] (analytic) = 9798164.585241562033685915924497
y[1] (numeric) = 9798164.5852415620334372603880134
absolute error = 2.486555364836e-13
relative error = 2.5377766858308973284847087211373e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.243
y[1] (analytic) = 9817780.5238119697857896854246855
y[1] (numeric) = 9817780.5238119697855405320792305
absolute error = 2.491533454550e-13
relative error = 2.5377766884348797747013429973038e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.244
y[1] (analytic) = 9837435.733517563161549730705567
y[1] (numeric) = 9837435.7335175631613000785545262
absolute error = 2.496521510408e-13
relative error = 2.5377766910354402080931473396939e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.245
y[1] (analytic) = 9857130.2929792071902893231915765
y[1] (numeric) = 9857130.2929792071900391712363403
absolute error = 2.501519552362e-13
relative error = 2.5377766936323449395109753679779e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=965.1MB, alloc=4.6MB, time=47.74
x[1] = 7.246
y[1] (analytic) = 9876864.2809751659780006946217205
y[1] (numeric) = 9876864.2809751659777500418616807
absolute error = 2.506527600398e-13
relative error = 2.5377766962193436666403086421663e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.247
y[1] (analytic) = 9896637.7764414178205064987179855
y[1] (numeric) = 9896637.77644141782025534415053
absolute error = 2.511545674555e-13
relative error = 2.5377766988033472248486635139052e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.248
y[1] (analytic) = 9916450.858471970947478242461045
y[1] (numeric) = 9916450.8584719709472265850815547
absolute error = 2.516573794903e-13
relative error = 2.5377767013820301962878455504997e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.249
y[1] (analytic) = 9936303.6063191798985746634679895
y[1] (numeric) = 9936303.6063191798983225022698337
absolute error = 2.521611981558e-13
relative error = 2.5377767039589382580129307623875e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.25
y[1] (analytic) = 9956196.0993940625329655584474175
y[1] (numeric) = 9956196.0993940625327128924219511
absolute error = 2.526660254664e-13
relative error = 2.5377767065252696247566808389599e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.251
y[1] (analytic) = 9976128.417266617673509101249888
y[1] (numeric) = 9976128.4172666176732559293864459
absolute error = 2.531718634421e-13
relative error = 2.5377767090879844553165176379796e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.252
y[1] (analytic) = 9996100.6396661433868532276465235
y[1] (numeric) = 9996100.6396661433865995489324171
absolute error = 2.536787141064e-13
relative error = 2.5377767116485587461906286819759e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.253
y[1] (analytic) = 10016112.846481555900734207665682
y[1] (numeric) = 10016112.846481555900480021086196
absolute error = 2.54186579486e-13
relative error = 2.5377767141999628633707926363361e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.254
y[1] (analytic) = 10036165.117761709159748075107214
y[1] (numeric) = 10036165.117761709159493379645601
absolute error = 2.54695461613e-13
relative error = 2.5377767167485863743643712183135e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.255
y[1] (analytic) = 10056257.533715715020873137746083
y[1] (numeric) = 10056257.53371571502061793238356
absolute error = 2.55205362523e-13
relative error = 2.5377767192951297583260016113959e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.256
y[1] (analytic) = 10076390.174713264090024350742334
y[1] (numeric) = 10076390.174713264089768634458079
absolute error = 2.55716284255e-13
relative error = 2.5377767218335877627575069470416e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.257
y[1] (analytic) = 10096563.121284947200922899902678
y[1] (numeric) = 10096563.121284947200666671673825
absolute error = 2.56228228853e-13
relative error = 2.5377767243670825386230271621271e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.258
y[1] (analytic) = 10116776.45412257753756691070066
y[1] (numeric) = 10116776.454122577537310169502297
absolute error = 2.56741198363e-13
relative error = 2.5377767268780381788917084238547e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.259
y[1] (analytic) = 10137030.254079513401591773367759
y[1] (numeric) = 10137030.254079513401334518172918
absolute error = 2.57255194841e-13
relative error = 2.5377767294072251409268000921259e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.26
y[1] (analytic) = 10157324.602170981625811153927047
y[1] (numeric) = 10157324.602170981625553383706707
absolute error = 2.57770220340e-13
relative error = 2.5377767319251108057115262421211e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.261
y[1] (analytic) = 10177659.579574401635232345764708
y[1] (numeric) = 10177659.579574401634974059487788
absolute error = 2.58286276920e-13
relative error = 2.5377767344307337923675295329304e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.262
y[1] (analytic) = 10198035.267629710156842206232875
y[1] (numeric) = 10198035.267629710156583402866228
absolute error = 2.58803366647e-13
relative error = 2.5377767369415330943226522229674e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.263
y[1] (analytic) = 10218451.747839686579462517860487
y[1] (numeric) = 10218451.747839686579203196368899
absolute error = 2.59321491588e-13
relative error = 2.5377767394441524028871649218293e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.264
y[1] (analytic) = 10238909.101870278964976214027428
y[1] (numeric) = 10238909.101870278964716373373612
absolute error = 2.59840653816e-13
relative error = 2.5377767419434995806083680344305e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.265
y[1] (analytic) = 10259407.411550930712228514441529
y[1] (numeric) = 10259407.411550930711968153586122
absolute error = 2.60360855407e-13
relative error = 2.5377767444332424757736753701158e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.266
y[1] (analytic) = 10279946.758874907874909626458524
y[1] (numeric) = 10279946.758874907874648744360082
absolute error = 2.60882098442e-13
relative error = 2.5377767469152955645454981863945e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.267
y[1] (analytic) = 10300527.225999627134728284212198
y[1] (numeric) = 10300527.225999627134466879827191
absolute error = 2.61404385007e-13
relative error = 2.5377767493996570160434250874764e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.268
y[1] (analytic) = 10321148.895246984431188018686166
y[1] (numeric) = 10321148.895246984430926090968976
absolute error = 2.61927717190e-13
relative error = 2.5377767518751805248960058631502e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.269
y[1] (analytic) = 10341811.849103684249280678270557
y[1] (numeric) = 10341811.849103684249018226173472
absolute error = 2.62452097085e-13
relative error = 2.5377767543483832841855283693379e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.27
y[1] (analytic) = 10362516.170221569566414351016714
y[1] (numeric) = 10362516.170221569566151373489925
absolute error = 2.62977526789e-13
relative error = 2.5377767568142386700214192491710e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.271
y[1] (analytic) = 10383261.941417952459895476741546
y[1] (numeric) = 10383261.941417952459631972733142
absolute error = 2.63504008404e-13
relative error = 2.5377767592754722704722378382501e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.272
y[1] (analytic) = 10404049.245675945376287579350778
y[1] (numeric) = 10404049.245675945376023547806743
absolute error = 2.64031544035e-13
relative error = 2.5377767617231805530408319515411e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.273
y[1] (analytic) = 10424878.166144793063971697257732
y[1] (numeric) = 10424878.166144793063707137121938
absolute error = 2.64560135794e-13
relative error = 2.5377767641752358803191492574472e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.274
y[1] (analytic) = 10445748.786140205170236242581921
y[1] (numeric) = 10445748.786140205169971152796126
absolute error = 2.65089785795e-13
relative error = 2.5377767666280722076340128704364e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=968.9MB, alloc=4.6MB, time=47.93
TOP MAIN SOLVE Loop
x[1] = 7.275
y[1] (analytic) = 10466661.189144689504226677930376
y[1] (numeric) = 10466661.189144689503961057434221
absolute error = 2.65620496155e-13
relative error = 2.5377767690663718815295078836065e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.276
y[1] (analytic) = 10487615.458807885967088063004752
y[1] (numeric) = 10487615.458807885966821910735753
absolute error = 2.66152268999e-13
relative error = 2.5377767715107776560026494722924e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.277
y[1] (analytic) = 10508611.678946901150636192049632
y[1] (numeric) = 10508611.67894690115036950694318
absolute error = 2.66685106452e-13
relative error = 2.5377767739413252160993169504221e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.278
y[1] (analytic) = 10529649.933546643605895717272738
y[1] (numeric) = 10529649.933546643605628498262091
absolute error = 2.67219010647e-13
relative error = 2.5377767763737431509162639627222e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.279
y[1] (analytic) = 10550730.306760159782846332836528
y[1] (numeric) = 10550730.306760159782578578852809
absolute error = 2.67753983719e-13
relative error = 2.5377767788021482723428541524210e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.28
y[1] (analytic) = 10571852.882908970642720778853871
y[1] (numeric) = 10571852.882908970642452488826064
absolute error = 2.68290027807e-13
relative error = 2.5377767812180982455800235620370e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.281
y[1] (analytic) = 10593017.746483408944201115028617
y[1] (numeric) = 10593017.74648340894393228788356
absolute error = 2.68827145057e-13
relative error = 2.5377767836388571272769241850254e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.282
y[1] (analytic) = 10614224.98214295720486240917586
y[1] (numeric) = 10614224.982142957204593043838244
absolute error = 2.69365337616e-13
relative error = 2.5377767860505301774751384308406e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.283
y[1] (analytic) = 10635474.674716586339215686847288
y[1] (numeric) = 10635474.674716586338945782239652
absolute error = 2.69904607636e-13
relative error = 2.5377767884459036248767064054110e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.284
y[1] (analytic) = 10656766.90920309497470469468492
y[1] (numeric) = 10656766.909203094974434249727643
absolute error = 2.70444957277e-13
relative error = 2.5377767908524488012573139275036e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.285
y[1] (analytic) = 10678101.770771449447013741942702
y[1] (numeric) = 10678101.770771449446742755554003
absolute error = 2.70986388699e-13
relative error = 2.5377767932569754386408698730434e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.286
y[1] (analytic) = 10699479.344761124476046601860668
y[1] (numeric) = 10699479.344761124475775072956602
absolute error = 2.71528904066e-13
relative error = 2.5377767956433409762086025011309e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.287
y[1] (analytic) = 10720899.7166824445239391772615
y[1] (numeric) = 10720899.71668244452366710475595
absolute error = 2.72072505550e-13
relative error = 2.5377767980297100767325865081699e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.288
y[1] (analytic) = 10742362.972216925836471362875288
y[1] (numeric) = 10742362.972216925836198745679964
absolute error = 2.72617195324e-13
relative error = 2.5377768004029691657299333161431e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.289
y[1] (analytic) = 10763869.197217619169246270496004
y[1] (numeric) = 10763869.197217619168973107520435
absolute error = 2.73162975569e-13
relative error = 2.5377768027839897505255508830964e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.29
y[1] (analytic) = 10785418.47770945320000772214355
y[1] (numeric) = 10785418.477709453199734012295084
absolute error = 2.73709848466e-13
relative error = 2.5377768051530344087434898862126e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.291
y[1] (analytic) = 10807010.899889578628469660959247
y[1] (numeric) = 10807010.899889578628195403143043
absolute error = 2.74257816204e-13
relative error = 2.5377768075241068550902171397122e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.292
y[1] (analytic) = 10828646.550127712965033879611194
y[1] (numeric) = 10828646.550127712964759072730219
absolute error = 2.74806880975e-13
relative error = 2.5377768098983610282315161605148e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.293
y[1] (analytic) = 10850325.51496648600977522154014
y[1] (numeric) = 10850325.514966486009499864495168
absolute error = 2.75357044972e-13
relative error = 2.5377768122457154712632851687466e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.294
y[1] (analytic) = 10872047.881121786023076171447318
y[1] (numeric) = 10872047.881121786022800263136919
absolute error = 2.75908310399e-13
relative error = 2.5377768145970635147440360278637e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.295
y[1] (analytic) = 10893813.735483106589295518024137
y[1] (numeric) = 10893813.735483106589019057344676
absolute error = 2.76460679461e-13
relative error = 2.5377768169517893172945080554775e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.296
y[1] (analytic) = 10915623.1651138941748585440609
y[1] (numeric) = 10915623.165113894174581529906534
absolute error = 2.77014154366e-13
relative error = 2.5377768192963229693163473015584e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.297
y[1] (analytic) = 10937476.257251896382158976758704
y[1] (numeric) = 10937476.257251896381881408021375
absolute error = 2.77568737329e-13
relative error = 2.5377768216407606323640210083211e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.298
y[1] (analytic) = 10959373.099309510900665714316657
y[1] (numeric) = 10959373.09930951090038758988609
absolute error = 2.78124430567e-13
relative error = 2.5377768239729248047496885482072e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.299
y[1] (analytic) = 10981313.778874135156630133686602
y[1] (numeric) = 10981313.778874135156351452450298
absolute error = 2.78681236304e-13
relative error = 2.5377768263040375219161137233117e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.3
y[1] (analytic) = 11003298.383708516662792578790757
y[1] (numeric) = 11003298.383708516662513339633991
absolute error = 2.79239156766e-13
relative error = 2.5377768286229653571025696721400e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.301
y[1] (analytic) = 11025327.001751104069489428495384
y[1] (numeric) = 11025327.001751104069209630301198
absolute error = 2.79798194186e-13
relative error = 2.5377768309417116303110087679349e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.302
y[1] (analytic) = 11047399.7211163989185649492368
y[1] (numeric) = 11047399.721116398918284590886
absolute error = 2.80358350800e-13
relative error = 2.5377768332588972971270913295510e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.303
y[1] (analytic) = 11069516.630095308101494948416164
y[1] (numeric) = 11069516.630095308101214028787317
absolute error = 2.80919628847e-13
relative error = 2.5377768355598133563475152656014e-18 %
Correct digits = 19
h = 0.001
memory used=972.7MB, alloc=4.6MB, time=48.11
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.304
y[1] (analytic) = 11091677.817155497023132061527596
y[1] (numeric) = 11091677.817155497022850579497021
absolute error = 2.81482030575e-13
relative error = 2.5377768378705678786069657030005e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.305
y[1] (analytic) = 11113883.370941743472485328471646
y[1] (numeric) = 11113883.370941743472203282913414
absolute error = 2.82045558232e-13
relative error = 2.5377768401766182315209258038316e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.306
y[1] (analytic) = 11136133.380276292201949542644268
y[1] (numeric) = 11136133.380276292201666932430197
absolute error = 2.82610214071e-13
relative error = 2.5377768424679942229766971658272e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.307
y[1] (analytic) = 11158427.934159210216402690191458
y[1] (numeric) = 11158427.934159210216119514191105
absolute error = 2.83176000353e-13
relative error = 2.5377768447660577057917896877548e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.308
y[1] (analytic) = 11180767.12176874277359263629302
y[1] (numeric) = 11180767.12176874277330889337368
absolute error = 2.83742919340e-13
relative error = 2.5377768470605016537336691029345e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.309
y[1] (analytic) = 11203151.032461670097237060496895
y[1] (numeric) = 11203151.032461670096952749523596
absolute error = 2.84310973299e-13
relative error = 2.5377768493452891187619936163272e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.31
y[1] (analytic) = 11225579.755773664804263493979397
y[1] (numeric) = 11225579.755773664803978613814895
absolute error = 2.84880164502e-13
relative error = 2.5377768516185301797651451316288e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.311
y[1] (analytic) = 11248053.381419650047619168168076
y[1] (numeric) = 11248053.381419650047333717672849
absolute error = 2.85450495227e-13
relative error = 2.5377768538912503781633425731611e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.312
y[1] (analytic) = 11270571.999294158376083246444132
y[1] (numeric) = 11270571.999294158375797224476377
absolute error = 2.86021967755e-13
relative error = 2.5377768561605629720737088830706e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.313
y[1] (analytic) = 11293135.69947169131251687865178
y[1] (numeric) = 11293135.699471691312230284067408
absolute error = 2.86594584372e-13
relative error = 2.5377768584274365499035700125148e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.314
y[1] (analytic) = 11315744.572207079651989391894225
y[1] (numeric) = 11315744.572207079651702223546857
absolute error = 2.87168347368e-13
relative error = 2.5377768606877385824100989276960e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.315
y[1] (analytic) = 11338398.707935844481221810601414
y[1] (numeric) = 11338398.707935844480934067342375
absolute error = 2.87743259039e-13
relative error = 2.5377768629498447155141118491763e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.316
y[1] (analytic) = 11361098.197274558920791784124988
y[1] (numeric) = 11361098.197274558920503464803305
absolute error = 2.88319321683e-13
relative error = 2.5377768651992253106551107542763e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.317
y[1] (analytic) = 11383843.131021210591546891162488
y[1] (numeric) = 11383843.131021210591257994624882
absolute error = 2.88896537606e-13
relative error = 2.5377768674512994087591614700938e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.318
y[1] (analytic) = 11406633.600155564806676187147301
y[1] (numeric) = 11406633.600155564806386712238186
absolute error = 2.89474909115e-13
relative error = 2.5377768696896875193641202237659e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.319
y[1] (analytic) = 11429469.695839528490892763374812
y[1] (numeric) = 11429469.695839528490602708936288
absolute error = 2.90054438524e-13
relative error = 2.5377768719189437434783216783312e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.32
y[1] (analytic) = 11452351.509417514828182995080206
y[1] (numeric) = 11452351.509417514827892359952053
absolute error = 2.90635128153e-13
relative error = 2.5377768741555346652624451518967e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.321
y[1] (analytic) = 11475279.132416808639581069951119
y[1] (numeric) = 11475279.132416808639289852970796
absolute error = 2.91216980323e-13
relative error = 2.5377768763840674366084831656496e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.322
y[1] (analytic) = 11498252.656547932492430308660422
y[1] (numeric) = 11498252.656547932492138508663061
absolute error = 2.91799997361e-13
relative error = 2.5377768786010114604735242258588e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.323
y[1] (analytic) = 11521272.173705013542595714952569
y[1] (numeric) = 11521272.173705013542303330770968
absolute error = 2.92384181601e-13
relative error = 2.5377768808231792937900718801285e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.324
y[1] (analytic) = 11544337.775966151111095124622814
y[1] (numeric) = 11544337.775966151110802155087436
absolute error = 2.92969535378e-13
relative error = 2.5377768830354692254960254129082e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.325
y[1] (analytic) = 11567449.555593784996619260404029
y[1] (numeric) = 11567449.555593784996325704342994
absolute error = 2.93556061035e-13
relative error = 2.5377768852516172620361542822196e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.326
y[1] (analytic) = 11590607.605035064525413943332386
y[1] (numeric) = 11590607.605035064525119799571469
absolute error = 2.94143760917e-13
relative error = 2.5377768874620627843983221871220e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.327
y[1] (analytic) = 11613812.016922218340000660612849
y[1] (numeric) = 11613812.016922218339705927975475
absolute error = 2.94732637374e-13
relative error = 2.5377768896599312417806383200606e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.328
y[1] (analytic) = 11637062.884072924928214645359782
y[1] (numeric) = 11637062.88407292492791932266702
absolute error = 2.95322692762e-13
relative error = 2.5377768918495201286511401414015e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.329
y[1] (analytic) = 11660360.299490683894042584859032
y[1] (numeric) = 11660360.299490683893746670929588
absolute error = 2.95913929444e-13
relative error = 2.5377768940546829110819701497602e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.33
y[1] (analytic) = 11683704.356365187971745041197345
y[1] (numeric) = 11683704.356365187971448534847564
absolute error = 2.96506349781e-13
relative error = 2.5377768962415223237886020846225e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.331
y[1] (analytic) = 11707095.148072695784751641244837
y[1] (numeric) = 11707095.148072695784454541288693
absolute error = 2.97099956144e-13
relative error = 2.5377768984213874877140164067594e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=976.6MB, alloc=4.6MB, time=48.30
x[1] = 7.332
y[1] (analytic) = 11730532.76817640535082007206826
y[1] (numeric) = 11730532.768176405350522377317351
absolute error = 2.97694750909e-13
relative error = 2.5377769006077186361895016897853e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.333
y[1] (analytic) = 11754017.310426828334952902909072
y[1] (numeric) = 11754017.31042682833465461217262
absolute error = 2.98290736452e-13
relative error = 2.5377769027734063214602575744444e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.334
y[1] (analytic) = 11777548.868762165051569245892611
y[1] (numeric) = 11777548.86876216505127035797745
absolute error = 2.98887915161e-13
relative error = 2.5377769049530039389487381849987e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.335
y[1] (analytic) = 11801127.537308680217431264654982
y[1] (numeric) = 11801127.53730868021713177836556
absolute error = 2.99486289422e-13
relative error = 2.5377769071233992607021095350575e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.336
y[1] (analytic) = 11824753.410381079456828543094746
y[1] (numeric) = 11824753.410381079456528457233117
absolute error = 3.00085861629e-13
relative error = 2.5377769092888766932735704286183e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.337
y[1] (analytic) = 11848426.582482886560526335488847
y[1] (numeric) = 11848426.582482886560225648854668
absolute error = 3.00686634179e-13
relative error = 2.5377769114385640066121891022442e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.338
y[1] (analytic) = 11872147.148306821499986734268824
y[1] (numeric) = 11872147.148306821499685445659347
absolute error = 3.01288609477e-13
relative error = 2.5377769135886181555556504007800e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.339
y[1] (analytic) = 11895915.202735179198374812845973
y[1] (numeric) = 11895915.202735179198072921056042
absolute error = 3.01891789931e-13
relative error = 2.5377769157398436540597220690856e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.34
y[1] (analytic) = 11919730.840840209059864828015072
y[1] (numeric) = 11919730.840840209059562331837119
absolute error = 3.02496177953e-13
relative error = 2.5377769178861539495699060387769e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.341
y[1] (analytic) = 11943594.157884495258764599667518
y[1] (numeric) = 11943594.157884495258461497891558
absolute error = 3.03101775960e-13
relative error = 2.5377769200229321176554683146032e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.342
y[1] (analytic) = 11967505.249321337789979224818442
y[1] (numeric) = 11967505.249321337789675516232066
absolute error = 3.03708586376e-13
relative error = 2.5377769221636475400364083230708e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.343
y[1] (analytic) = 11991464.21079513428233832831072
y[1] (numeric) = 11991464.210795134282034011699094
absolute error = 3.04316611626e-13
relative error = 2.5377769242895590117906253047378e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.344
y[1] (analytic) = 12015471.138141762576314104013992
y[1] (numeric) = 12015471.138141762576009178159847
absolute error = 3.04925854145e-13
relative error = 2.5377769264248586142123795972625e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.345
y[1] (analytic) = 12039526.127388964067660457900917
y[1] (numeric) = 12039526.12738896406735492158455
absolute error = 3.05536316367e-13
relative error = 2.5377769285447970325301120160371e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.346
y[1] (analytic) = 12063629.274756727818506628068405
y[1] (numeric) = 12063629.274756727818200480067669
absolute error = 3.06148000736e-13
relative error = 2.5377769306672738855419594622532e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.347
y[1] (analytic) = 12087780.67665767543744172659042
y[1] (numeric) = 12087780.676657675437134965680722
absolute error = 3.06760909698e-13
relative error = 2.5377769327861493079923206636573e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.348
y[1] (analytic) = 12111980.429697446730129724053714
y[1] (numeric) = 12111980.429697446729822349008011
absolute error = 3.07375045703e-13
relative error = 2.5377769348879151639986347884922e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.349
y[1] (analytic) = 12136228.630675086121997479750628
y[1] (numeric) = 12136228.630675086121689489339417
absolute error = 3.07990411211e-13
relative error = 2.5377769370011268491656016863040e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.35
y[1] (analytic) = 12160525.3765834298545415087963
y[1] (numeric) = 12160525.376583429854232901787618
absolute error = 3.08607008682e-13
relative error = 2.5377769391136695219009357022911e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.351
y[1] (analytic) = 12184870.764609493956802271913624
y[1] (numeric) = 12184870.764609493956493047073043
absolute error = 3.09224840581e-13
relative error = 2.5377769412141169502040228002532e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.352
y[1] (analytic) = 12209264.892134862993557874300414
y[1] (numeric) = 12209264.892134862993248030391035
absolute error = 3.09843909379e-13
relative error = 2.5377769432998348124007949850568e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.353
y[1] (analytic) = 12233707.85673607959179216687189
y[1] (numeric) = 12233707.856736079591481702654334
absolute error = 3.10464217556e-13
relative error = 2.5377769454013349280334010643164e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.354
y[1] (analytic) = 12258199.756185034746995356270256
y[1] (numeric) = 12258199.756185034746684270502667
absolute error = 3.11085767589e-13
relative error = 2.5377769474839697729422166969623e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.355
y[1] (analytic) = 12282740.688449358910858349364248
y[1] (numeric) = 12282740.688449358910546640802281
absolute error = 3.11708561967e-13
relative error = 2.5377769495706239820553248342042e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.356
y[1] (analytic) = 12307330.751692813861925183537436
y[1] (numeric) = 12307330.751692813861612850934256
absolute error = 3.12332603180e-13
relative error = 2.5377769516516825549496015185630e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.357
y[1] (analytic) = 12331970.044275685360771025897536
y[1] (numeric) = 12331970.044275685360458068003812
absolute error = 3.12957893724e-13
relative error = 2.5377769537258188335699546676648e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.358
y[1] (analytic) = 12356658.664755176591276362642244
y[1] (numeric) = 12356658.664755176590962778206144
absolute error = 3.13584436100e-13
relative error = 2.5377769557917384784292921927529e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.359
y[1] (analytic) = 12381396.711885802389571144202946
y[1] (numeric) = 12381396.711885802389256931970131
absolute error = 3.14212232815e-13
relative error = 2.5377769578561750283079521983401e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.36
y[1] (analytic) = 12406184.284619784262225802468527
y[1] (numeric) = 12406184.284619784261910961182146
absolute error = 3.14841286381e-13
relative error = 2.5377769599256684537573349575765e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=980.4MB, alloc=4.6MB, time=48.48
TOP MAIN SOLVE Loop
x[1] = 7.361
y[1] (analytic) = 12431021.482107446195269213380027
y[1] (numeric) = 12431021.482107446194953741780715
absolute error = 3.15471599312e-13
relative error = 2.5377769619823528449914984239883e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.362
y[1] (analytic) = 12455908.403697611255616841495758
y[1] (numeric) = 12455908.403697611255300738321628
absolute error = 3.16103174130e-13
relative error = 2.5377769640322890728346293556943e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.363
y[1] (analytic) = 12480845.148937998986495472768247
y[1] (numeric) = 12480845.148937998986178736754884
absolute error = 3.16736013363e-13
relative error = 2.5377769660891211129268029463306e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.364
y[1] (analytic) = 12505831.817575623598454117761795
y[1] (numeric) = 12505831.817575623598136747642255
absolute error = 3.17370119540e-13
relative error = 2.5377769681339378985771915985945e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.365
y[1] (analytic) = 12530868.509557192957553849885208
y[1] (numeric) = 12530868.509557192957235844390009
absolute error = 3.18005495199e-13
relative error = 2.5377769701793595402233674778240e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.366
y[1] (analytic) = 12555955.325029508372332531931007
y[1] (numeric) = 12555955.325029508372013889788127
absolute error = 3.18642142880e-13
relative error = 2.5377769722133918417877933707219e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.367
y[1] (analytic) = 12581092.364339865181143579313098
y[1] (numeric) = 12581092.364339865180824299247968
absolute error = 3.19280065130e-13
relative error = 2.5377769742393330678951324528090e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.368
y[1] (analytic) = 12606279.728036454141471109892058
y[1] (numeric) = 12606279.728036454141151190627555
absolute error = 3.19919264503e-13
relative error = 2.5377769762755408467868265870484e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.369
y[1] (analytic) = 12631517.516868763622827038183821
y[1] (numeric) = 12631517.516868763622506478440268
absolute error = 3.20559743553e-13
relative error = 2.5377769782997838561842378964571e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.37
y[1] (analytic) = 12656805.83178798260483888607641
y[1] (numeric) = 12656805.831787982604517684571568
absolute error = 3.21201504842e-13
relative error = 2.5377769803127728715610868980857e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.371
y[1] (analytic) = 12682144.773947404482140302943279
y[1] (numeric) = 12682144.773947404481818458392339
absolute error = 3.21844550940e-13
relative error = 2.5377769823378516570306484484941e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.372
y[1] (analytic) = 12707534.444702831677679515253747
y[1] (numeric) = 12707534.444702831677357026369331
absolute error = 3.22488884416e-13
relative error = 2.5377769843498659057825429112990e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.373
y[1] (analytic) = 12732974.945612981066064159453826
y[1] (numeric) = 12732974.945612981065741024945977
absolute error = 3.23134507849e-13
relative error = 2.5377769863619558671382242671443e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.374
y[1] (analytic) = 12758466.378439890208564192037316
y[1] (numeric) = 12758466.378439890208240410613496
absolute error = 3.23781423820e-13
relative error = 2.5377769883623905217379772511634e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.375
y[1] (analytic) = 12784008.845149324401397817360477
y[1] (numeric) = 12784008.845149324401073387725559
absolute error = 3.24429634918e-13
relative error = 2.5377769903616683527124929297626e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.376
y[1] (analytic) = 12809602.447911184538928626886695
y[1] (numeric) = 12809602.447911184538603547742959
absolute error = 3.25079143736e-13
relative error = 2.5377769923609883629444597190117e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.377
y[1] (analytic) = 12835247.28909991579340540319354
y[1] (numeric) = 12835247.289099915793079673240669
absolute error = 3.25729952871e-13
relative error = 2.5377769943522617547071487784432e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.378
y[1] (analytic) = 12860943.471294917112879308246328
y[1] (numeric) = 12860943.471294917112552926181401
absolute error = 3.26382064927e-13
relative error = 2.5377769963414503009837120736628e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.379
y[1] (analytic) = 12886691.097280951538936448152931
y[1] (numeric) = 12886691.09728095153860941267042
absolute error = 3.27035482511e-13
relative error = 2.5377769983173057234061542867731e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.38
y[1] (analytic) = 12912490.270048557345887085877203
y[1] (numeric) = 12912490.270048557345559395668964
absolute error = 3.27690208239e-13
relative error = 2.5377770002979272165145447431116e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.381
y[1] (analytic) = 12938341.092794460003056059216034
y[1] (numeric) = 12938341.092794460002727712971305
absolute error = 3.28346244729e-13
relative error = 2.5377770022762851485826314235503e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.382
y[1] (analytic) = 12964243.66892198496182225375101
y[1] (numeric) = 12964243.668921984961493250156406
absolute error = 3.29003594604e-13
relative error = 2.5377770042435311441593874894286e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.383
y[1] (analytic) = 12990198.10204147126905827948294
y[1] (numeric) = 12990198.102041471268728617222445
absolute error = 3.29662260495e-13
relative error = 2.5377770062120300655416029234607e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.384
y[1] (analytic) = 13016204.495970686008624805459442
y[1] (numeric) = 13016204.495970686008294483214406
absolute error = 3.30322245036e-13
relative error = 2.5377770081766539858863214221564e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.385
y[1] (analytic) = 13042262.954735239572577318925524
y[1] (numeric) = 13042262.954735239572246335374657
absolute error = 3.30983550867e-13
relative error = 2.5377770101378777887021645443918e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.386
y[1] (analytic) = 13068373.582569001763746394377882
y[1] (numeric) = 13068373.582569001763414748197248
absolute error = 3.31646180634e-13
relative error = 2.5377770121016425962867083373349e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.387
y[1] (analytic) = 13094536.483914518731355883398794
y[1] (numeric) = 13094536.483914518731023573261809
absolute error = 3.32310136985e-13
relative error = 2.5377770140486732480737695967361e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.388
y[1] (analytic) = 13120751.763423430741346768298302
y[1] (numeric) = 13120751.763423430741013792875724
absolute error = 3.32975422578e-13
relative error = 2.5377770159956212866233909106953e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.389
y[1] (analytic) = 13147019.525956890783077761417093
y[1] (numeric) = 13147019.525956890782744119377019
absolute error = 3.33642040074e-13
memory used=984.2MB, alloc=4.6MB, time=48.67
relative error = 2.5377770179413820077996213963388e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.39
y[1] (analytic) = 13173339.876585984014077077450646
y[1] (numeric) = 13173339.876585984013742767458507
absolute error = 3.34309992139e-13
relative error = 2.5377770198823725570334449130086e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.391
y[1] (analytic) = 13199712.920592148044523158360979
y[1] (numeric) = 13199712.920592148044188179079534
absolute error = 3.34979281445e-13
relative error = 2.5377770218200518484528867852601e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.392
y[1] (analytic) = 13226138.76346759406313548935928
y[1] (numeric) = 13226138.763467594062799839448612
absolute error = 3.35649910668e-13
relative error = 2.5377770237456679653720697814880e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.393
y[1] (analytic) = 13252617.510915728806160010084192
y[1] (numeric) = 13252617.510915728805823688201698
absolute error = 3.36321882494e-13
relative error = 2.5377770256855533797088109695705e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.394
y[1] (analytic) = 13279149.268851577371136997480001
y[1] (numeric) = 13279149.268851577370800002280394
absolute error = 3.36995199607e-13
relative error = 2.5377770276103267694886291460882e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.395
y[1] (analytic) = 13305734.143402206877142676010048
y[1] (numeric) = 13305734.143402206876805006145347
absolute error = 3.37669864701e-13
relative error = 2.5377770295255544266791916211660e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.396
y[1] (analytic) = 13332372.240907150973199196736647
y[1] (numeric) = 13332372.24090715097286085085617
absolute error = 3.38345880477e-13
relative error = 2.5377770314488198760462027533924e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.397
y[1] (analytic) = 13359063.667918835196551019473458
y[1] (numeric) = 13359063.667918835196211996223821
absolute error = 3.39023249637e-13
relative error = 2.5377770333646094704809198925310e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.398
y[1] (analytic) = 13385808.53120300318250913168299
y[1] (numeric) = 13385808.531203003182169429708098
absolute error = 3.39701974892e-13
relative error = 2.5377770352843263140604900372373e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.399
y[1] (analytic) = 13412606.937739143727567944064372
y[1] (numeric) = 13412606.937739143727227562005418
absolute error = 3.40382058954e-13
relative error = 2.5377770371862958009382086407592e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.4
y[1] (analytic) = 13439458.994720918707503115868418
y[1] (numeric) = 13439458.994720918707162052363872
absolute error = 3.41063504546e-13
relative error = 2.5377770390904225602824030025746e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.401
y[1] (analytic) = 13466364.809556591852161982901814
y[1] (numeric) = 13466364.809556591851820236587421
absolute error = 3.41746314393e-13
relative error = 2.5377770409908619590836409025625e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.402
y[1] (analytic) = 13493324.489869458378661687953867
y[1] (numeric) = 13493324.489869458378319257462641
absolute error = 3.42430491226e-13
relative error = 2.5377770428858400284253050390598e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.403
y[1] (analytic) = 13520338.143498275484713547011164
y[1] (numeric) = 13520338.143498275484370430973382
absolute error = 3.43116037782e-13
relative error = 2.5377770447775322266153001371836e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.404
y[1] (analytic) = 13547405.878497693703795625131604
y[1] (numeric) = 13547405.878497693703451822174801
absolute error = 3.43802956803e-13
relative error = 2.5377770466645617644672734045797e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.405
y[1] (analytic) = 13574527.803138689123898943243248
y[1] (numeric) = 13574527.80313868912355445199221
absolute error = 3.44491251038e-13
relative error = 2.5377770485566876793176381429156e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.406
y[1] (analytic) = 13601704.025908996471576191429094
y[1] (numeric) = 13601704.025908996471231010505857
absolute error = 3.45180923237e-13
relative error = 2.5377770504305007192296731681050e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.407
y[1] (analytic) = 13628934.655513543063025285470106
y[1] (numeric) = 13628934.655513543062679413493945
absolute error = 3.45871976161e-13
relative error = 2.5377770523030468076805826649082e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.408
y[1] (analytic) = 13656219.80087488362394357155928
y[1] (numeric) = 13656219.800874883623597007146705
absolute error = 3.46564412575e-13
relative error = 2.5377770541800843315423266893710e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.409
y[1] (analytic) = 13683559.571133635979891959183361
y[1] (numeric) = 13683559.571133635979544700948114
absolute error = 3.47258235247e-13
relative error = 2.5377770560488073806309142134140e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.41
y[1] (analytic) = 13710954.075648917618911744209658
y[1] (numeric) = 13710954.075648917618563790762705
absolute error = 3.47953446953e-13
relative error = 2.5377770579144173637128402896007e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.411
y[1] (analytic) = 13738403.423998783128140373227312
y[1] (numeric) = 13738403.423998783127791723176839
absolute error = 3.48650050473e-13
relative error = 2.5377770597707473573670216159173e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.412
y[1] (analytic) = 13765907.725980662506175896189353
y[1] (numeric) = 13765907.725980662505826548140758
absolute error = 3.49348048595e-13
relative error = 2.5377770616293519566379962751406e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.413
y[1] (analytic) = 13793467.091611800352943357397744
y[1] (numeric) = 13793467.091611800352593309953634
absolute error = 3.50047444110e-13
relative error = 2.5377770634830006350047080486289e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.414
y[1] (analytic) = 13821081.631129695938819884882588
y[1] (numeric) = 13821081.631129695938469136642772
absolute error = 3.50748239816e-13
relative error = 2.5377770653347254382478540509727e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.415
y[1] (analytic) = 13848751.454992544154778755262598
y[1] (numeric) = 13848751.454992544154427304824081
absolute error = 3.51450438517e-13
relative error = 2.5377770671904170781451139962014e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.416
y[1] (analytic) = 13876476.673879677345316235251023
y[1] (numeric) = 13876476.673879677344964081208004
absolute error = 3.52154043019e-13
relative error = 2.5377770690298896886929801092271e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.417
y[1] (analytic) = 13904257.398692008025928532103526
y[1] (numeric) = 13904257.398692008025575673047388
absolute error = 3.52859056138e-13
relative error = 2.5377770708645966264026075363835e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=988.0MB, alloc=4.6MB, time=48.86
x[1] = 7.418
y[1] (analytic) = 13932093.740552472486909723506078
y[1] (numeric) = 13932093.740552472486556158025383
absolute error = 3.53565480695e-13
relative error = 2.5377770727013460354037360334364e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.419
y[1] (analytic) = 13959985.810806475285245082686075
y[1] (numeric) = 13959985.810806475284890809366561
absolute error = 3.54273319514e-13
relative error = 2.5377770745279393310451831086387e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.42
y[1] (analytic) = 13987933.721022334626377766912641
y[1] (numeric) = 13987933.721022334626022784337213
absolute error = 3.54982575428e-13
relative error = 2.5377770763561741141002024338420e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.421
y[1] (analytic) = 14015937.582991728637630397046694
y[1] (numeric) = 14015937.582991728637274703795421
absolute error = 3.55693251273e-13
relative error = 2.5377770781787157216556854269601e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.422
y[1] (analytic) = 14043997.508730142535066622422142
y[1] (numeric) = 14043997.508730142534710217072249
absolute error = 3.56405349893e-13
relative error = 2.5377770800048094831498540120543e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.423
y[1] (analytic) = 14072113.610477316685581339100681
y[1] (numeric) = 14072113.610477316685224220226547
absolute error = 3.57118874134e-13
relative error = 2.5377770818173970565721318970474e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.424
y[1] (analytic) = 14100286.000697695566011810458492
y[1] (numeric) = 14100286.000697695565653976631639
absolute error = 3.57833826853e-13
relative error = 2.5377770836371265222010385719532e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.425
y[1] (analytic) = 14128514.792080877621065527147918
y[1] (numeric) = 14128514.792080877620706976937011
absolute error = 3.58550210907e-13
relative error = 2.5377770854440388391062158797081e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.426
y[1] (analytic) = 14156800.097542066021864238745394
y[1] (numeric) = 14156800.097542066021504970716231
absolute error = 3.59268029163e-13
relative error = 2.5377770872485293150167856460150e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.427
y[1] (analytic) = 14185142.030222520326907191862742
y[1] (numeric) = 14185142.03022252032654720457825
absolute error = 3.59987284492e-13
relative error = 2.5377770890486665795144885805717e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.428
y[1] (analytic) = 14213540.703490009047260219177018
y[1] (numeric) = 14213540.703490009046899511197246
absolute error = 3.60707979772e-13
relative error = 2.5377770908513411435195102520090e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.429
y[1] (analytic) = 14241996.230939263117780940738676
y[1] (numeric) = 14241996.230939263117419510620792
absolute error = 3.61430117884e-13
relative error = 2.5377770926440105914653886496047e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.43
y[1] (analytic) = 14270508.726392430276193963063494
y[1] (numeric) = 14270508.726392430275831809361776
absolute error = 3.62153701718e-13
relative error = 2.5377770944368573895724641435839e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.431
y[1] (analytic) = 14299078.303899530351833592914882
y[1] (numeric) = 14299078.303899530351470714180714
absolute error = 3.62878734168e-13
relative error = 2.5377770962275142718165748829280e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.432
y[1] (analytic) = 14327705.07773891146587522135449
y[1] (numeric) = 14327705.077738911465511616136357
absolute error = 3.63605218133e-13
relative error = 2.5377770980080878869172356072302e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.433
y[1] (analytic) = 14356389.16241770714488017959492
y[1] (numeric) = 14356389.1624177071445158464384
absolute error = 3.64333156520e-13
relative error = 2.5377770997860299137874592824392e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.434
y[1] (analytic) = 14385130.67267229434948252144344
y[1] (numeric) = 14385130.672672294349117458891198
absolute error = 3.65062552242e-13
relative error = 2.5377771015700000305404495863560e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.435
y[1] (analytic) = 14413929.723468752420049847694542
y[1] (numeric) = 14413929.723468752419684054286329
absolute error = 3.65793408213e-13
relative error = 2.5377771033350840794344690818081e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.436
y[1] (analytic) = 14442786.430003322941153955726581
y[1] (numeric) = 14442786.43000332294078742999922
absolute error = 3.66525727361e-13
relative error = 2.5377771051130586520774200210652e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.437
y[1] (analytic) = 14471700.907702870526690772798209
y[1] (numeric) = 14471700.907702870526323513285597
absolute error = 3.67259512612e-13
relative error = 2.5377771068811843340470328554085e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.438
y[1] (analytic) = 14500673.272225344527492714138768
y[1] (numeric) = 14500673.272225344527124719371866
absolute error = 3.67994766902e-13
relative error = 2.5377771086454230272633144309311e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.439
y[1] (analytic) = 14529703.63946024166328029689764
y[1] (numeric) = 14529703.639460241662911565404468
absolute error = 3.68731493172e-13
relative error = 2.5377771104056590621608778305290e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.44
y[1] (analytic) = 14558792.12552906958080353837588
y[1] (numeric) = 14558792.125529069580434068681512
absolute error = 3.69469694368e-13
relative error = 2.5377771121556788714090510984504e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.441
y[1] (analytic) = 14587938.846785811340027371723794
y[1] (numeric) = 14587938.846785811339657162350349
absolute error = 3.70209373445e-13
relative error = 2.5377771139105710208724532935097e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.442
y[1] (analytic) = 14617143.919817390830219024465432
y[1] (numeric) = 14617143.919817390829848073932072
absolute error = 3.70950533360e-13
relative error = 2.5377771156585438731986956740555e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.443
y[1] (analytic) = 14646407.46144413911779902482008
y[1] (numeric) = 14646407.461444139117427331643001
absolute error = 3.71693177079e-13
relative error = 2.5377771174089060057116934973168e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.444
y[1] (analytic) = 14675729.588720261727821227846559
y[1] (numeric) = 14675729.588720261727448790538988
absolute error = 3.72437307571e-13
relative error = 2.5377771191508912577093200288344e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.445
y[1] (analytic) = 14705110.418934306860950987953496
y[1] (numeric) = 14705110.418934306860577805025682
absolute error = 3.73182927814e-13
relative error = 2.5377771208945802439049559587381e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.446
y[1] (analytic) = 14734550.069609634547814346312519
y[1] (numeric) = 14734550.06960963454744041627173
absolute error = 3.73930040789e-13
relative error = 2.5377771226298911015218956427475e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=991.8MB, alloc=4.6MB, time=49.04
TOP MAIN SOLVE Loop
x[1] = 7.447
y[1] (analytic) = 14764048.658504886742594851196694
y[1] (numeric) = 14764048.658504886742220172547209
absolute error = 3.74678649485e-13
relative error = 2.5377771243605657571011417187008e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.448
y[1] (analytic) = 14793606.303614458357758386258256
y[1] (numeric) = 14793606.303614458357382957501359
absolute error = 3.75428756897e-13
relative error = 2.5377771260904320710815712166137e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.449
y[1] (analytic) = 14823223.123168969241790146273004
y[1] (numeric) = 14823223.123168969241413965906979
absolute error = 3.76180366025e-13
relative error = 2.5377771278165758554291214423104e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.45
y[1] (analytic) = 14852899.235635737101831671928565
y[1] (numeric) = 14852899.23563573710145473844869
absolute error = 3.76933479875e-13
relative error = 2.5377771295360599625433361236198e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.451
y[1] (analytic) = 14882634.759719251373109634835227
y[1] (numeric) = 14882634.759719251372731946733767
absolute error = 3.77688101460e-13
relative error = 2.5377771312525630673310245970020e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.452
y[1] (analytic) = 14912429.814361648037051851106306
y[1] (numeric) = 14912429.814361648036673406872507
absolute error = 3.78444233799e-13
relative error = 2.5377771329695270733018382406731e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.453
y[1] (analytic) = 14942284.518743185389989796605201
y[1] (numeric) = 14942284.518743185389610594725285
absolute error = 3.79201879916e-13
relative error = 2.5377771346833861104807761571080e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.454
y[1] (analytic) = 14972198.992282720764350699303544
y[1] (numeric) = 14972198.992282720763970738260703
absolute error = 3.79961042841e-13
relative error = 2.5377771363902346475203743394137e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.455
y[1] (analytic) = 15002173.354638188204246094154455
y[1] (numeric) = 15002173.354638188203865372428843
absolute error = 3.80721725612e-13
relative error = 2.5377771380990816249342585089514e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.456
y[1] (analytic) = 15032207.72570707709736754347201
y[1] (numeric) = 15032207.72570707709698605954074
absolute error = 3.81483931270e-13
relative error = 2.5377771397983788775926894448750e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.457
y[1] (analytic) = 15062302.22562691176510405103799
y[1] (numeric) = 15062302.225626911764721803375125
absolute error = 3.82247662865e-13
relative error = 2.5377771414959798851588932424326e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.458
y[1] (analytic) = 15092456.974775732012799531045018
y[1] (numeric) = 15092456.974775732012416518121566
absolute error = 3.83012923452e-13
relative error = 2.5377771431923623006960473630123e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.459
y[1] (analytic) = 15122672.093772574642072533546687
y[1] (numeric) = 15122672.093772574641688753830595
absolute error = 3.83779716092e-13
relative error = 2.5377771448872331064322634834113e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.46
y[1] (analytic) = 15152947.703477955927124276335606
y[1] (numeric) = 15152947.703477955926739728291755
absolute error = 3.84548043851e-13
relative error = 2.5377771465728561137551079713346e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.461
y[1] (analytic) = 15183283.924994355056964889124792
y[1] (numeric) = 15183283.924994355056579571214989
absolute error = 3.85317909803e-13
relative error = 2.5377771482538040997239468305888e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.462
y[1] (analytic) = 15213680.879666698545491639581969
y[1] (numeric) = 15213680.879666698545105550264941
absolute error = 3.86089317028e-13
relative error = 2.5377771499336092828109165275352e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.463
y[1] (analytic) = 15244138.689082845611356782175562
y[1] (numeric) = 15244138.68908284561096991990695
absolute error = 3.86862268612e-13
relative error = 2.5377771516146927322400200639355e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.464
y[1] (analytic) = 15274657.475074074529566549950956
y[1] (numeric) = 15274657.475074074529178913183311
absolute error = 3.87636767645e-13
relative error = 2.5377771532852009404044368213198e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.465
y[1] (analytic) = 15305237.359715569956756696281456
y[1] (numeric) = 15305237.359715569956368283464229
absolute error = 3.88412817227e-13
relative error = 2.5377771549582697922906730378773e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.466
y[1] (analytic) = 15335878.465326911232093888345874
y[1] (numeric) = 15335878.465326911231704697925413
absolute error = 3.89190420461e-13
relative error = 2.5377771566260499928230002006683e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.467
y[1] (analytic) = 15366580.914472561655756156589398
y[1] (numeric) = 15366580.914472561655366187008941
absolute error = 3.89969580457e-13
relative error = 2.5377771582858658953949967356221e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.468
y[1] (analytic) = 15397344.829962358746949514741904
y[1] (numeric) = 15397344.829962358746558764441572
absolute error = 3.90750300332e-13
relative error = 2.5377771599400833261888469686388e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.469
y[1] (analytic) = 15428170.33485200548342178311387
y[1] (numeric) = 15428170.33485200548303025053066
absolute error = 3.91532583210e-13
relative error = 2.5377771615959785230238473535191e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.47
y[1] (analytic) = 15459057.552443562524438573880167
y[1] (numeric) = 15459057.552443562524046257447947
absolute error = 3.92316432220e-13
relative error = 2.5377771632526707831875392011725e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.471
y[1] (analytic) = 15490006.606285941419190330911976
y[1] (numeric) = 15490006.60628594141879722906148
absolute error = 3.93101850496e-13
relative error = 2.5377771649011228572667374686407e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.472
y[1] (analytic) = 15521017.620175398802603258442594
y[1] (numeric) = 15521017.620175398802209369601414
absolute error = 3.93888841180e-13
relative error = 2.5377771665434702936516855348065e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.473
y[1] (analytic) = 15552090.718156031580530922469774
y[1] (numeric) = 15552090.718156031580136245062352
absolute error = 3.94677407422e-13
relative error = 2.5377771681928293788783430478360e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.474
y[1] (analytic) = 15583226.024520273106307266321243
y[1] (numeric) = 15583226.024520273105911798768869
absolute error = 3.95467552374e-13
relative error = 2.5377771698346036124165818502011e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=995.6MB, alloc=4.6MB, time=49.23
x[1] = 7.475
y[1] (analytic) = 15614423.663809390350645747257049
y[1] (numeric) = 15614423.663809390350249487977852
absolute error = 3.96259279197e-13
relative error = 2.5377771714715095754554013091155e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.476
y[1] (analytic) = 15645683.760813982066873274368156
y[1] (numeric) = 15645683.760813982066476221777098
absolute error = 3.97052591058e-13
relative error = 2.5377771731041491338038440128571e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.477
y[1] (analytic) = 15677006.44057447795349160937127
y[1] (numeric) = 15677006.440574477953093761880139
absolute error = 3.97847491131e-13
relative error = 2.5377771747373284208613989199075e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.478
y[1] (analytic) = 15708391.828381638816062881211046
y[1] (numeric) = 15708391.828381638815664237228451
absolute error = 3.98643982595e-13
relative error = 2.5377771763672029612030772026423e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.479
y[1] (analytic) = 15739840.04977705773041986267862
y[1] (numeric) = 15739840.049777057730020420609983
absolute error = 3.99442068637e-13
relative error = 2.5377771780003430088066284134486e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.48
y[1] (analytic) = 15771351.230553662209205662555782
y[1] (numeric) = 15771351.230553662208805420803335
absolute error = 4.00241752447e-13
relative error = 2.5377771796218457992111341324421e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.481
y[1] (analytic) = 15802925.496756217373751500113131
y[1] (numeric) = 15802925.496756217373350457075907
absolute error = 4.01043037224e-13
relative error = 2.5377771812334366525853021585379e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.482
y[1] (analytic) = 15834562.974681830133305250144186
y[1] (numeric) = 15834562.974681830132903404218011
absolute error = 4.01845926175e-13
relative error = 2.5377771828469073506569181674649e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.483
y[1] (analytic) = 15866263.790880454373627476121882
y[1] (numeric) = 15866263.79088045437322482569937
absolute error = 4.02650422512e-13
relative error = 2.5377771844650266575862687725966e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.484
y[1] (analytic) = 15898028.072155397156975706535168
y[1] (numeric) = 15898028.072155397156572250005717
absolute error = 4.03456529451e-13
relative error = 2.5377771860752590977212671353369e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.485
y[1] (analytic) = 15929855.945563825935501755017752
y[1] (numeric) = 15929855.945563825935097490767536
absolute error = 4.04264250216e-13
relative error = 2.5377771876749470130292606413429e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.486
y[1] (analytic) = 15961747.538417276780090938534544
y[1] (numeric) = 15961747.538417276779685864946504
absolute error = 4.05073588040e-13
relative error = 2.5377771892773965578223203005641e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.487
y[1] (analytic) = 15993702.978282163626676109660314
y[1] (numeric) = 15993702.978282163626270225114156
absolute error = 4.05884546158e-13
relative error = 2.5377771908678702976553934072594e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.488
y[1] (analytic) = 16025722.392980288542063488885705
y[1] (numeric) = 16025722.392980288541656791757888
absolute error = 4.06697127817e-13
relative error = 2.5377771924661857137650677442382e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.489
y[1] (analytic) = 16057805.910589353011311360934249
y[1] (numeric) = 16057805.910589353010903849597984
absolute error = 4.07511336265e-13
relative error = 2.5377771940577872739180932772939e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.49
y[1] (analytic) = 16089953.659443470248706785286932
y[1] (numeric) = 16089953.659443470248298458112172
absolute error = 4.08327174760e-13
relative error = 2.5377771956499437495292733546843e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.491
y[1] (analytic) = 16122165.768133678534389565504194
y[1] (numeric) = 16122165.76813367853398042085763
absolute error = 4.09144646564e-13
relative error = 2.5377771972342341235047936441975e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.492
y[1] (analytic) = 16154442.365508455578676824525714
y[1] (numeric) = 16154442.365508455578266860770766
absolute error = 4.09963754948e-13
relative error = 2.5377771988175744762590794265499e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.493
y[1] (analytic) = 16186783.580674233916145643932086
y[1] (numeric) = 16186783.580674233915734859428897
absolute error = 4.10784503189e-13
relative error = 2.5377772004034506613121006978019e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.494
y[1] (analytic) = 16219189.542995917331535344186143
y[1] (numeric) = 16219189.542995917331123737291575
absolute error = 4.11606894568e-13
relative error = 2.5377772019795404214145599702550e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.495
y[1] (analytic) = 16251660.38209739831953511015162
y[1] (numeric) = 16251660.382097398319122679219245
absolute error = 4.12430932375e-13
relative error = 2.5377772035485564557387548921133e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.496
y[1] (analytic) = 16284196.227862076580526801729597
y[1] (numeric) = 16284196.227862076580113545109689
absolute error = 4.13256619908e-13
relative error = 2.5377772051218749849365635569732e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.497
y[1] (analytic) = 16316797.210433378554356933275291
y[1] (numeric) = 16316797.210433378553942849314823
absolute error = 4.14083960468e-13
relative error = 2.5377772066887250223345310603008e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.498
y[1] (analytic) = 16349463.460215277994215957575843
y[1] (numeric) = 16349463.460215277993801044618478
absolute error = 4.14912957365e-13
relative error = 2.5377772082530268190733835817287e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.499
y[1] (analytic) = 16382195.107872817582707150600312
y[1] (numeric) = 16382195.107872817582291406986398
absolute error = 4.15743613914e-13
relative error = 2.5377772098087479718529414554717e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.5
y[1] (analytic) = 16414992.284332631592191561992922
y[1] (numeric) = 16414992.284332631591774986059482
absolute error = 4.16575933440e-13
relative error = 2.5377772113703818494925835155850e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.501
y[1] (analytic) = 16447855.120783469591499673386228
y[1] (numeric) = 16447855.120783469591082263466958
absolute error = 4.17409919270e-13
relative error = 2.5377772129240234165969012819375e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.502
y[1] (analytic) = 16480783.748676721201104592079129
y[1] (numeric) = 16480783.748676721200686346504388
absolute error = 4.18245574741e-13
relative error = 2.5377772144761129326896292016774e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.503
y[1] (analytic) = 16513778.299726941898855801472155
y[1] (numeric) = 16513778.29972694189843671856896
absolute error = 4.19082903195e-13
relative error = 2.5377772160228747062526700312066e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=999.4MB, alloc=4.6MB, time=49.41
x[1] = 7.504
y[1] (analytic) = 16546838.905912379878376691896124
y[1] (numeric) = 16546838.905912379877956769988142
absolute error = 4.19921907982e-13
relative error = 2.5377772175684684428181263660806e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.505
y[1] (analytic) = 16579965.699475503962233306126758
y[1] (numeric) = 16579965.6994755039618125435343
absolute error = 4.20762592458e-13
relative error = 2.5377772191127665659862749273066e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.506
y[1] (analytic) = 16613158.812923532571985952964122
y[1] (numeric) = 16613158.812923532571564348004138
absolute error = 4.21604959984e-13
relative error = 2.5377772206452967528695701628611e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.507
y[1] (analytic) = 16646418.379028963757239569788654
y[1] (numeric) = 16646418.379028963756817120774721
absolute error = 4.22449013933e-13
relative error = 2.5377772221873155670857151914109e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.508
y[1] (analytic) = 16679744.530830106285812951001906
y[1] (numeric) = 16679744.530830106285389656244228
absolute error = 4.23294757678e-13
relative error = 2.5377772237194675531758597246704e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.509
y[1] (analytic) = 16713137.401631611797151203737075
y[1] (numeric) = 16713137.401631611796727061542472
absolute error = 4.24142194603e-13
relative error = 2.5377772252479257868569809421936e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.51
y[1] (analytic) = 16746597.125005008021110045198642
y[1] (numeric) = 16746597.125005008020685053870544
absolute error = 4.24991328098e-13
relative error = 2.5377772267742000008300625339793e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.511
y[1] (analytic) = 16780123.834789233064244817479296
y[1] (numeric) = 16780123.834789233063818975317737
absolute error = 4.25842161559e-13
relative error = 2.5377772282951021219347895804132e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.512
y[1] (analytic) = 16813717.665091170765741365722572
y[1] (numeric) = 16813717.665091170765314671024182
absolute error = 4.26694698390e-13
relative error = 2.5377772298146073875254881286599e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.513
y[1] (analytic) = 16847378.750286187125130204068522
y[1] (numeric) = 16847378.750286187124702655126521
absolute error = 4.27548942001e-13
relative error = 2.5377772313318308244209357787989e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.514
y[1] (analytic) = 16881107.22501866780392968095433
y[1] (numeric) = 16881107.225018667803501276058521
absolute error = 4.28404895809e-13
relative error = 2.5377772328469186221995580881866e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.515
y[1] (analytic) = 16914903.22420255670336815105919
y[1] (numeric) = 16914903.224202556702938888495952
absolute error = 4.29262563238e-13
relative error = 2.5377772343609570632873696451080e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.516
y[1] (analytic) = 16948766.883021895620339465500242
y[1] (numeric) = 16948766.883021895619909343552524
absolute error = 4.30121947718e-13
relative error = 2.5377772358699821874904037926839e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.517
y[1] (analytic) = 16982698.336931364983750404821076
y[1] (numeric) = 16982698.336931364983319421768389
absolute error = 4.30983052687e-13
relative error = 2.5377772373767260882792894631117e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.518
y[1] (analytic) = 17016697.721656825673423000883504
y[1] (numeric) = 17016697.721656825672991155001915
absolute error = 4.31845881589e-13
relative error = 2.5377772388787162117608096779950e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.519
y[1] (analytic) = 17050765.173195861923719023994324
y[1] (numeric) = 17050765.173195861923286313556449
absolute error = 4.32710437875e-13
relative error = 2.5377772403741112778815917950957e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.52
y[1] (analytic) = 17084900.827818325314058250488892
y[1] (numeric) = 17084900.827818325313624673763887
absolute error = 4.33576725005e-13
relative error = 2.5377772418733205118144133713624e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.521
y[1] (analytic) = 17119104.822066879848506473569888
y[1] (numeric) = 17119104.822066879848072028823445
absolute error = 4.34444746443e-13
relative error = 2.5377772433695933965127201489245e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.522
y[1] (analytic) = 17153377.292757548126613576480106
y[1] (numeric) = 17153377.292757548126178261974446
absolute error = 4.35314505660e-13
relative error = 2.5377772448565991468775722040101e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.523
y[1] (analytic) = 17187718.376980258607686352089777
y[1] (numeric) = 17187718.37698025860725016608364
absolute error = 4.36186006137e-13
relative error = 2.5377772463457963054699614166448e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.524
y[1] (analytic) = 17222128.212099393970685126719386
y[1] (numeric) = 17222128.212099393970248067468028
absolute error = 4.37059251358e-13
relative error = 2.5377772478255290927818025813094e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.525
y[1] (analytic) = 17256606.935754340571937628515642
y[1] (numeric) = 17256606.935754340571499694270823
absolute error = 4.37934244819e-13
relative error = 2.5377772493133309962769155594175e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.526
y[1] (analytic) = 17291154.685860039002867931968662
y[1] (numeric) = 17291154.685860039002429120978645
absolute error = 4.38810990017e-13
relative error = 2.5377772507919364891002350793533e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.527
y[1] (analytic) = 17325771.600607535749942710220248
y[1] (numeric) = 17325771.600607535749503020729788
absolute error = 4.39689490460e-13
relative error = 2.5377772522672646564183182967941e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.528
y[1] (analytic) = 17360457.818464535959041435683792
y[1] (numeric) = 17360457.81846453595860086593413
absolute error = 4.40569749662e-13
relative error = 2.5377772537393063817875330203530e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.529
y[1] (analytic) = 17395213.478175957306461587193646
y[1] (numeric) = 17395213.478175957306020135422502
absolute error = 4.41451771144e-13
relative error = 2.5377772552078512381780697192747e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.53
y[1] (analytic) = 17430038.71876448497877434844327
y[1] (numeric) = 17430038.718764484978332012884835
absolute error = 4.42335558435e-13
relative error = 2.5377772566781459175754874761516e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.531
y[1] (analytic) = 17464933.679531127763750717874928
y[1] (numeric) = 17464933.67953112776330749675986
absolute error = 4.43221115068e-13
relative error = 2.5377772581378558832366358113813e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.532
y[1] (analytic) = 17499898.500055775254582394466836
y[1] (numeric) = 17499898.500055775254138286022249
absolute error = 4.44108444587e-13
relative error = 2.5377772595971602250877373384032e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=1003.3MB, alloc=4.6MB, time=49.60
TOP MAIN SOLVE Loop
x[1] = 7.533
y[1] (analytic) = 17534933.320197756169626257044227
y[1] (numeric) = 17534933.320197756169181259493685
absolute error = 4.44997550542e-13
relative error = 2.5377772610599319284715805292841e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.534
y[1] (analytic) = 17570038.280096397789905716836684
y[1] (numeric) = 17570038.280096397789459828400196
absolute error = 4.45888436488e-13
relative error = 2.5377772625180281554070855398707e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.535
y[1] (analytic) = 17605213.520171586516606694033078
y[1] (numeric) = 17605213.52017158651615991292709
absolute error = 4.46781105988e-13
relative error = 2.5377772639683697309313861011519e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.536
y[1] (analytic) = 17640459.181124329550810449065416
y[1] (numeric) = 17640459.181124329550362773502801
absolute error = 4.47675562615e-13
relative error = 2.5377772654241476511899220470976e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.537
y[1] (analytic) = 17675775.403937317697709988301823
y[1] (numeric) = 17675775.403937317697261416491879
absolute error = 4.48571809944e-13
relative error = 2.5377772668693201801098548523300e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.538
y[1] (analytic) = 17711162.329875489297561261764712
y[1] (numeric) = 17711162.329875489297111791913151
absolute error = 4.49469851561e-13
relative error = 2.5377772683096389659881964066033e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.539
y[1] (analytic) = 17746620.100486595285624877430816
y[1] (numeric) = 17746620.100486595285174507739756
absolute error = 4.50369691060e-13
relative error = 2.5377772697554465339893666216015e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.54
y[1] (analytic) = 17782148.857601765383358572633362
y[1] (numeric) = 17782148.857601765382907301301324
absolute error = 4.51271332038e-13
relative error = 2.5377772711934313039544483026635e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.541
y[1] (analytic) = 17817748.743336075423125208091198
y[1] (numeric) = 17817748.743336075422673033313097
absolute error = 4.52174778101e-13
relative error = 2.5377772726204569664082698507705e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.542
y[1] (analytic) = 17853419.900089115808685584153282
y[1] (numeric) = 17853419.900089115808232504120416
absolute error = 4.53080032866e-13
relative error = 2.5377772740545828940010943519929e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.543
y[1] (analytic) = 17889162.47054556111374992198773
y[1] (numeric) = 17889162.470545561113295934887777
absolute error = 4.53987099953e-13
relative error = 2.5377772754900519053273713536378e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.544
y[1] (analytic) = 17924976.597675740820866404680832
y[1] (numeric) = 17924976.597675740820411508697845
absolute error = 4.54895982987e-13
relative error = 2.5377772769086042840609054639766e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.545
y[1] (analytic) = 17960862.424736211202929734561188
y[1] (numeric) = 17960862.42473621120247392787558
absolute error = 4.55806685608e-13
relative error = 2.5377772783351987183591098781406e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.546
y[1] (analytic) = 17996820.095270328349597233545668
y[1] (numeric) = 17996820.095270328349140514334212
absolute error = 4.56719211456e-13
relative error = 2.5377772797541524157975811075440e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.547
y[1] (analytic) = 18032849.753108822340904592935684
y[1] (numeric) = 18032849.753108822340446959371501
absolute error = 4.57633564183e-13
relative error = 2.5377772811760105355527570773503e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.548
y[1] (analytic) = 18068951.542370372570377967892289
y[1] (numeric) = 18068951.542370372569919418144844
absolute error = 4.58549747445e-13
relative error = 2.5377772825929291489822316463359e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.549
y[1] (analytic) = 18105125.607462184219943709805617
y[1] (numeric) = 18105125.60746218421948424204071
absolute error = 4.59467764907e-13
relative error = 2.5377772840063942112368377446896e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.55
y[1] (analytic) = 18141372.093080565888941636966199
y[1] (numeric) = 18141372.093080565888481249345958
absolute error = 4.60387620241e-13
relative error = 2.5377772854160233400965700442760e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.551
y[1] (analytic) = 18177691.144211508379552360361429
y[1] (numeric) = 18177691.144211508379091051044302
absolute error = 4.61309317127e-13
relative error = 2.5377772868250048664375556179081e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.552
y[1] (analytic) = 18214082.906131264640953807078182
y[1] (numeric) = 18214082.906131264640491574218932
absolute error = 4.62232859250e-13
relative error = 2.5377772882235106026721527156777e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.553
y[1] (analytic) = 18250547.524406930874526718710955
y[1] (numeric) = 18250547.524406930874063560460648
absolute error = 4.63158250307e-13
relative error = 2.5377772896270999605424220420384e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.554
y[1] (analytic) = 18287085.144897028802433546372304
y[1] (numeric) = 18287085.144897028801969460878307
absolute error = 4.64085493997e-13
relative error = 2.5377772910217025167579518706240e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.555
y[1] (analytic) = 18323695.913752089101899817397552
y[1] (numeric) = 18323695.913752089101434802803521
absolute error = 4.65014594031e-13
relative error = 2.5377772924184067338666105381381e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.556
y[1] (analytic) = 18360379.97741523600753171164711
y[1] (numeric) = 18360379.977415236007065766092986
absolute error = 4.65945554124e-13
relative error = 2.5377772938095562970991713196100e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.557
y[1] (analytic) = 18397137.482622773084008257456213
y[1] (numeric) = 18397137.482622773083541379078212
absolute error = 4.66878378001e-13
relative error = 2.5377772952014698982908457782875e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.558
y[1] (analytic) = 18433968.576404770171491238781872
y[1] (numeric) = 18433968.576404770171023425712479
absolute error = 4.67813069393e-13
relative error = 2.5377772965925220555421908354248e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.559
y[1] (analytic) = 18470873.406085651506100595969268
y[1] (numeric) = 18470873.406085651505631846337231
absolute error = 4.68749632037e-13
relative error = 2.5377772979731414197469325410617e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.56
y[1] (analytic) = 18507852.119284785017807802823356
y[1] (numeric) = 18507852.119284785017338114753674
absolute error = 4.69688069682e-13
relative error = 2.5377772993582280873534587840081e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1007.1MB, alloc=4.6MB, time=49.78
x[1] = 7.561
y[1] (analytic) = 18544904.863917072808104412344906
y[1] (numeric) = 18544904.863917072807633783958826
absolute error = 4.70628386080e-13
relative error = 2.5377773007382978583937259334024e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.562
y[1] (analytic) = 18582031.78819354280980768259248
y[1] (numeric) = 18582031.788193542809336112007488
absolute error = 4.71570584992e-13
relative error = 2.5377773021119336947656230201357e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.563
y[1] (analytic) = 18619233.040621941631369922681728
y[1] (numeric) = 18619233.04062194163089740801154
absolute error = 4.72514670188e-13
relative error = 2.5377773034856247034661201706050e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.564
y[1] (analytic) = 18656508.770007328588062936949832
y[1] (numeric) = 18656508.770007328587589476304388
absolute error = 4.73460645444e-13
relative error = 2.5377773048575262281259726188660e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.565
y[1] (analytic) = 18693859.125452670922413692814932
y[1] (numeric) = 18693859.125452670921939284300389
absolute error = 4.74408514543e-13
relative error = 2.5377773062228113910595003155987e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.566
y[1] (analytic) = 18731284.25635944021627209486683
y[1] (numeric) = 18731284.256359440215796736585552
absolute error = 4.75358281278e-13
relative error = 2.5377773075896361420158230589611e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.567
y[1] (analytic) = 18768784.312428209996896514255273
y[1] (numeric) = 18768784.312428209996420204305826
absolute error = 4.76309949447e-13
relative error = 2.5377773089522889705212302107017e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.568
y[1] (analytic) = 18806359.443659254539447498514756
y[1] (numeric) = 18806359.443659254538970234991899
absolute error = 4.77263522857e-13
relative error = 2.5377773103125177138022443577259e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.569
y[1] (analytic) = 18844009.800353148868284872599082
y[1] (numeric) = 18844009.800353148867806653593759
absolute error = 4.78219005323e-13
relative error = 2.5377773116740677355423194789237e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.57
y[1] (analytic) = 18881735.533111369959468237114072
y[1] (numeric) = 18881735.533111369958989060713408
absolute error = 4.79176400664e-13
relative error = 2.5377773130213966038134210408286e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.571
y[1] (analytic) = 18919536.792836899146865674552058
y[1] (numeric) = 18919536.792836899146385538839344
absolute error = 4.80135712714e-13
relative error = 2.5377773143779267812563711689665e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.572
y[1] (analytic) = 18957413.730734825734280288766133
y[1] (numeric) = 18957413.730734825733799191820827
absolute error = 4.81096945306e-13
relative error = 2.5377773157211764835252833973259e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.573
y[1] (analytic) = 18995366.498312951816009026995202
y[1] (numeric) = 18995366.498312951815526966892914
absolute error = 4.82060102288e-13
relative error = 2.5377773170673675927301527032559e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.574
y[1] (analytic) = 19033395.24738239830825306748149
y[1] (numeric) = 19033395.247382398307770042293978
absolute error = 4.83025187512e-13
relative error = 2.5377773184131659432625556921384e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.575
y[1] (analytic) = 19071500.130058212193803899130132
y[1] (numeric) = 19071500.130058212193319906925294
absolute error = 4.83992204838e-13
relative error = 2.5377773197567689403796878601162e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.576
y[1] (analytic) = 19109681.298759974982434072764816
y[1] (numeric) = 19109681.298759974981949111606683
absolute error = 4.84961158133e-13
relative error = 2.5377773210925766390026731690283e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.577
y[1] (analytic) = 19147938.906212412389426466353766
y[1] (numeric) = 19147938.906212412388940534302492
absolute error = 4.85932051274e-13
relative error = 2.5377773224268164298639015097296e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.578
y[1] (analytic) = 19186273.105446005234680779136021
y[1] (numeric) = 19186273.105446005234193874247876
absolute error = 4.86904888145e-13
relative error = 2.5377773237617081250834253541471e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.579
y[1] (analytic) = 19224684.04979760156484085188853
y[1] (numeric) = 19224684.049797601564352972215894
absolute error = 4.87879672636e-13
relative error = 2.5377773250902212959583400535899e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.58
y[1] (analytic) = 19263171.89291103000089130265951
y[1] (numeric) = 19263171.892911030000402446250862
absolute error = 4.88856408648e-13
relative error = 2.5377773264220430557142119922827e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.581
y[1] (analytic) = 19301736.788737714313676869172385
y[1] (numeric) = 19301736.7887377143131870340723
absolute error = 4.89835100085e-13
relative error = 2.5377773277418834803147237564261e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.582
y[1] (analytic) = 19340378.891537289229802760797144
y[1] (numeric) = 19340378.891537289229311945046279
absolute error = 4.90815750865e-13
relative error = 2.5377773290665197637391488761590e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.583
y[1] (analytic) = 19379098.355878217470379244511562
y[1] (numeric) = 19379098.355878217469887446146654
absolute error = 4.91798364908e-13
relative error = 2.5377773303824732878046075664663e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.584
y[1] (analytic) = 19417895.336638408025078620653382
y[1] (numeric) = 19417895.336638408024585837707235
absolute error = 4.92782946147e-13
relative error = 2.5377773317028791809519450230555e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.585
y[1] (analytic) = 19456769.989005835663977685515696
y[1] (numeric) = 19456769.989005835663483916017178
absolute error = 4.93769498518e-13
relative error = 2.5377773330157441881364439869605e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.586
y[1] (analytic) = 19495722.468479161689663728981419
y[1] (numeric) = 19495722.468479161689168970955451
absolute error = 4.94758025968e-13
relative error = 2.5377773343251510182758950935289e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.587
y[1] (analytic) = 19534752.930868355932087076448494
y[1] (numeric) = 19534752.930868355931591327916043
absolute error = 4.95748532451e-13
relative error = 2.5377773356305410920950451992665e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.588
y[1] (analytic) = 19573861.532295319988648155285334
y[1] (numeric) = 19573861.532295319988151414263403
absolute error = 4.96741021931e-13
relative error = 2.5377773369420065041084781741763e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.589
y[1] (analytic) = 19613048.429194511712012046995744
y[1] (numeric) = 19613048.429194511711514311497369
absolute error = 4.97735498375e-13
relative error = 2.5377773382444123156370096216040e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1010.9MB, alloc=4.6MB, time=49.96
x[1] = 7.59
y[1] (analytic) = 19652313.778313570948148477184202
y[1] (numeric) = 19652313.77831357094764974521844
absolute error = 4.98731965762e-13
relative error = 2.5377773395433635007091971329131e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.591
y[1] (analytic) = 19691657.736713946527100196315754
y[1] (numeric) = 19691657.736713946526600465887675
absolute error = 4.99730428079e-13
relative error = 2.5377773408446043834361728576207e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.592
y[1] (analytic) = 19731080.46177152450898771518004
y[1] (numeric) = 19731080.461771524508486984290722
absolute error = 5.00730889318e-13
relative error = 2.5377773421387317803298610800311e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.593
y[1] (analytic) = 19770582.111177257687763379916068
y[1] (numeric) = 19770582.111177257687261646562585
absolute error = 5.01733353483e-13
relative error = 2.5377773434366714310470776171129e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.594
y[1] (analytic) = 19810162.842937796355232802453351
y[1] (numeric) = 19810162.84293779635473006462877
absolute error = 5.02737824581e-13
relative error = 2.5377773447239632567441107148049e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.595
y[1] (analytic) = 19849822.815376120327866703296176
y[1] (numeric) = 19849822.815376120327362958989544
absolute error = 5.03744306632e-13
relative error = 2.5377773460113120084072414522935e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.596
y[1] (analytic) = 19889562.187132172238931274741046
y[1] (numeric) = 19889562.187132172238426521937384
absolute error = 5.04752803662e-13
relative error = 2.5377773472990613036714407327671e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.597
y[1] (analytic) = 19929381.117163492098470233893168
y[1] (numeric) = 19929381.117163492097964470573463
absolute error = 5.05763319705e-13
relative error = 2.5377773485872513386703198356005e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.598
y[1] (analytic) = 19969279.764745853123676806256256
y[1] (numeric) = 19969279.764745853123170030397455
absolute error = 5.06775858801e-13
relative error = 2.5377773498655257177359734457980e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.599
y[1] (analytic) = 20009258.28947389884219896223138
y[1] (numeric) = 20009258.289473898841691171806377
absolute error = 5.07790425003e-13
relative error = 2.5377773511481383152598749502510e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.6
y[1] (analytic) = 20049316.851261781470926320595244
y[1] (numeric) = 20049316.851261781470417513572878
absolute error = 5.08807022366e-13
relative error = 2.5377773524187623160527562115704e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.601
y[1] (analytic) = 20089455.610343801572812234956727
y[1] (numeric) = 20089455.610343801572302409301768
absolute error = 5.09825654959e-13
relative error = 2.5377773536904471725679555525612e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.602
y[1] (analytic) = 20129674.727275048994289691332856
y[1] (numeric) = 20129674.727275048993778845006
absolute error = 5.10846326856e-13
relative error = 2.5377773549605348717757724287229e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.603
y[1] (analytic) = 20169974.36293204508584476736243
y[1] (numeric) = 20169974.36293204508533289832029
absolute error = 5.11869042140e-13
relative error = 2.5377773562305669868831722429462e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.604
y[1] (analytic) = 20210354.67851338620831653630739
y[1] (numeric) = 20210354.67851338620780364250249
absolute error = 5.12893804900e-13
relative error = 2.5377773574913181493887869466833e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.605
y[1] (analytic) = 20250815.835540388527497441899594
y[1] (numeric) = 20250815.835540388526983521280356
absolute error = 5.13920619238e-13
relative error = 2.5377773587573892540900067436977e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.606
y[1] (analytic) = 20291357.995857734099613323294184
y[1] (numeric) = 20291357.995857734099098373804925
absolute error = 5.14949489259e-13
relative error = 2.5377773600176069349904652017909e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.607
y[1] (analytic) = 20331981.321634118250267432911132
y[1] (numeric) = 20331981.321634118249751452492053
absolute error = 5.15980419079e-13
relative error = 2.5377773612745465427579752983205e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.608
y[1] (analytic) = 20372685.975362898249437963804174
y[1] (numeric) = 20372685.975362898248920950391353
absolute error = 5.17013412821e-13
relative error = 2.5377773625246803048352832950517e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.609
y[1] (analytic) = 20413472.119862743285123787412171
y[1] (numeric) = 20413472.119862743284605738937551
absolute error = 5.18048474620e-13
relative error = 2.5377773637828510177052647921365e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.61
y[1] (analytic) = 20454339.918278285738238297142446
y[1] (numeric) = 20454339.918278285737719211533834
absolute error = 5.19085608612e-13
relative error = 2.5377773650282295436960322962962e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.611
y[1] (analytic) = 20495289.534080773761356458229882
y[1] (numeric) = 20495289.534080773760836333410933
absolute error = 5.20124818949e-13
relative error = 2.5377773662777773265020739826939e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.612
y[1] (analytic) = 20536321.131068725163925379730038
y[1] (numeric) = 20536321.131068725163404213620252
absolute error = 5.21166109786e-13
relative error = 2.5377773675224864126814719354356e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.613
y[1] (analytic) = 20577434.873368582606553950360456
y[1] (numeric) = 20577434.873368582606031740875167
absolute error = 5.22209485289e-13
relative error = 2.5377773687664349437091493456786e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.614
y[1] (analytic) = 20618630.925435370107002316222272
y[1] (numeric) = 20618630.925435370106479061272641
absolute error = 5.23254949631e-13
relative error = 2.5377773700071760508934915675294e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.615
y[1] (analytic) = 20659909.452053350860497225235398
y[1] (numeric) = 20659909.452053350859972922728403
absolute error = 5.24302506995e-13
relative error = 2.5377773712502429506530546488557e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.616
y[1] (analytic) = 20701270.618336686377004520425729
y[1] (numeric) = 20701270.61833668637647916826416
absolute error = 5.25352161569e-13
relative error = 2.5377773724848354103485315562150e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.617
y[1] (analytic) = 20742714.589730096938095332033222
y[1] (numeric) = 20742714.589730096937568928115669
absolute error = 5.26403917553e-13
relative error = 2.5377773737176486833008475688698e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.618
y[1] (analytic) = 20784241.532009523376047796786201
y[1] (numeric) = 20784241.532009523375520339007047
absolute error = 5.27457779154e-13
relative error = 2.5377773749485616683860607025569e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=1014.7MB, alloc=4.6MB, time=50.14
TOP MAIN SOLVE Loop
x[1] = 7.619
y[1] (analytic) = 20825851.611282790177831421631153
y[1] (numeric) = 20825851.611282790177302907880566
absolute error = 5.28513750587e-13
relative error = 2.5377773761754256592592405939027e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.62
y[1] (analytic) = 20867544.9939902699166265087396
y[1] (numeric) = 20867544.993990269916096936903524
absolute error = 5.29571836076e-13
relative error = 2.5377773773987959316660501208844e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.621
y[1] (analytic) = 20909321.846905549013536368755666
y[1] (numeric) = 20909321.846905549013005736715811
absolute error = 5.30632039855e-13
relative error = 2.5377773786266065684342694694051e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.622
y[1] (analytic) = 20951182.337136094832155370020856
y[1] (numeric) = 20951182.337136094831623675654694
absolute error = 5.31694366162e-13
relative error = 2.5377773798453779173676163201216e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.623
y[1] (analytic) = 20993126.63212392410866120293773
y[1] (numeric) = 20993126.632123924108128444118481
absolute error = 5.32758819249e-13
relative error = 2.5377773810679840327307462188283e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.624
y[1] (analytic) = 21035154.899646272720105080732738
y[1] (numeric) = 21035154.899646272719571255329367
absolute error = 5.33825403371e-13
relative error = 2.5377773822810157243202954678953e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.625
y[1] (analytic) = 21077267.30781626679357895067208
y[1] (numeric) = 21077267.307816266793044056549284
absolute error = 5.34894122796e-13
relative error = 2.5377773834924062906348694653165e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.626
y[1] (analytic) = 21119464.02508359515894415329421
y[1] (numeric) = 21119464.02508359515840818831241
absolute error = 5.35964981800e-13
relative error = 2.5377773847074631950164039237587e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.627
y[1] (analytic) = 21161745.220235183147811341470252
y[1] (numeric) = 21161745.220235183147274303485588
absolute error = 5.37037984664e-13
relative error = 2.5377773859146366532966016988582e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.628
y[1] (analytic) = 21204111.062395867741466856110397
y[1] (numeric) = 21204111.062395867740928742974716
absolute error = 5.38113135681e-13
relative error = 2.5377773871186194882709906796533e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.629
y[1] (analytic) = 21246561.721029074070446151121972
y[1] (numeric) = 21246561.721029074069906960682821
absolute error = 5.39190439151e-13
relative error = 2.5377773883165713032423235438875e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.63
y[1] (analytic) = 21289097.365937493268460266814894
y[1] (numeric) = 21289097.365937493267919996915508
absolute error = 5.40269899386e-13
relative error = 2.5377773895215989482827391131810e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.631
y[1] (analytic) = 21331718.16726376168338676836419
y[1] (numeric) = 21331718.167263761682845416843489
absolute error = 5.41351520701e-13
relative error = 2.5377773907203258224709474368647e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.632
y[1] (analytic) = 21374424.295491141448041994198974
y[1] (numeric) = 21374424.295491141447499558891551
absolute error = 5.42435307423e-13
relative error = 2.5377773919151815142222310006396e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.633
y[1] (analytic) = 21417215.921444202413456898314285
y[1] (numeric) = 21417215.921444202412913377050397
absolute error = 5.43521263888e-13
relative error = 2.5377773931101562039093434429252e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.634
y[1] (analytic) = 21460093.216289505447384220518406
y[1] (numeric) = 21460093.216289505446839611123967
absolute error = 5.44609394439e-13
relative error = 2.5377773943013845490325765911797e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.635
y[1] (analytic) = 21503056.351536287100770179555412
y[1] (numeric) = 21503056.351536287100224479851982
absolute error = 5.45699703430e-13
relative error = 2.5377773954957452047356860631061e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.636
y[1] (analytic) = 21546105.499037145644929355902597
y[1] (numeric) = 21546105.499037145644382563707378
absolute error = 5.46792195219e-13
relative error = 2.5377773966781843715835992425299e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.637
y[1] (analytic) = 21589240.830988728482166913857052
y[1] (numeric) = 21589240.830988728481619026982873
absolute error = 5.47886874179e-13
relative error = 2.5377773978628051278880290496915e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.638
y[1] (analytic) = 21632462.519932420932597806316796
y[1] (numeric) = 21632462.519932420932048822572109
absolute error = 5.48983744687e-13
relative error = 2.5377773990416464445075853158180e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.639
y[1] (analytic) = 21675770.738755036399918110451696
y[1] (numeric) = 21675770.738755036399368027640563
absolute error = 5.50082811133e-13
relative error = 2.5377774002263432542833882435541e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.64
y[1] (analytic) = 21719165.660689507918889158269708
y[1] (numeric) = 21719165.660689507918337974191798
absolute error = 5.51184077910e-13
relative error = 2.5377774014018079175770467132291e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.641
y[1] (analytic) = 21762647.459315581087300652937055
y[1] (numeric) = 21762647.45931558108674836538763
absolute error = 5.52287549425e-13
relative error = 2.5377774025769612338582953352149e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.642
y[1] (analytic) = 21806216.308560508385184499628694
y[1] (numeric) = 21806216.308560508384631106398602
absolute error = 5.53393230092e-13
relative error = 2.5377774037523114569603984126700e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.643
y[1] (analytic) = 21849872.382699744884056628690159
y[1] (numeric) = 21849872.382699744883502127565827
absolute error = 5.54501124332e-13
relative error = 2.5377774049199571770767861194863e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.644
y[1] (analytic) = 21893615.856357645348969649005701
y[1] (numeric) = 21893615.856357645348414037769123
absolute error = 5.55611236578e-13
relative error = 2.5377774060864282168116309313498e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.645
y[1] (analytic) = 21937446.904508162736164740712782
y[1] (numeric) = 21937446.904508162735608017141512
absolute error = 5.56723571270e-13
relative error = 2.5377774072496688965185037632353e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.646
y[1] (analytic) = 21981365.702475548089116778801846
y[1] (numeric) = 21981365.702475548088558940668988
absolute error = 5.57838132858e-13
relative error = 2.5377774084126906630737794649662e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1018.5MB, alloc=4.6MB, time=50.33
x[1] = 7.647
y[1] (analytic) = 22025372.425935051835772272715047
y[1] (numeric) = 22025372.425935051835213317789246
absolute error = 5.58954925801e-13
relative error = 2.5377774095789005290516374200536e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.648
y[1] (analytic) = 22069467.25091362648978531183075
y[1] (numeric) = 22069467.250913626489225237876187
absolute error = 5.60073954563e-13
relative error = 2.5377774107338916091132529296284e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.649
y[1] (analytic) = 22113650.353790630758562322714542
y[1] (numeric) = 22113650.353790630758001127490918
absolute error = 5.61195223624e-13
relative error = 2.5377774118952831721916528651820e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.65
y[1] (analytic) = 22157921.911298535060932071254562
y[1] (numeric) = 22157921.911298535060369752517096
absolute error = 5.62318737466e-13
relative error = 2.5377774130491376504862049981337e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.651
y[1] (analytic) = 22202282.100523628457262981301883
y[1] (numeric) = 22202282.100523628456699536801299
absolute error = 5.63444500584e-13
relative error = 2.5377774141997388425096063819412e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.652
y[1] (analytic) = 22246731.098906726994855491227766
y[1] (numeric) = 22246731.098906726994290918710284
absolute error = 5.64572517482e-13
relative error = 2.5377774153513494637092563256401e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.653
y[1] (analytic) = 22291269.084243883471442830911688
y[1] (numeric) = 22291269.084243883470877128119018
absolute error = 5.65702792670e-13
relative error = 2.5377774164946721987143753777389e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.654
y[1] (analytic) = 22335896.234687098619639274109604
y[1] (numeric) = 22335896.234687098619072438778932
absolute error = 5.66835330672e-13
relative error = 2.5377774176427209775237696325835e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.655
y[1] (analytic) = 22380612.728745033715180604943683
y[1] (numeric) = 22380612.728745033714612634807667
absolute error = 5.67970136016e-13
relative error = 2.5377774187858361239313672187950e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.656
y[1] (analytic) = 22425418.745283724611807232425555
y[1] (numeric) = 22425418.745283724611238125212313
absolute error = 5.69107213242e-13
relative error = 2.5377774199275033464565929666264e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.657
y[1] (analytic) = 22470314.463527297205646093497546
y[1] (numeric) = 22470314.463527297205075846930648
absolute error = 5.70246566898e-13
relative error = 2.5377774210663407330936367644679e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.658
y[1] (analytic) = 22515300.063058684331953203073483
y[1] (numeric) = 22515300.063058684331381814871941
absolute error = 5.71388201542e-13
relative error = 2.5377774222049492846384536664161e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.659
y[1] (analytic) = 22560375.723820344097084439005127
y[1] (numeric) = 22560375.723820344096511906883388
absolute error = 5.72532121739e-13
relative error = 2.5377774233364947257643573025075e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.66
y[1] (analytic) = 22605541.62611497964856789081515
y[1] (numeric) = 22605541.626114979647994212483084
absolute error = 5.73678332066e-13
relative error = 2.5377774244668393261346789964482e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.661
y[1] (analytic) = 22650797.950606260386156853445742
y[1] (numeric) = 22650797.950606260385582026608635
absolute error = 5.74826837107e-13
relative error = 2.5377774255922602531528162294424e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.662
y[1] (analytic) = 22696144.878319544616748311196446
y[1] (numeric) = 22696144.878319544616172333554987
absolute error = 5.75977641459e-13
relative error = 2.5377774267259004974344417262398e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.663
y[1] (analytic) = 22741582.590642603656057532488677
y[1] (numeric) = 22741582.590642603655480401738956
absolute error = 5.77130749721e-13
relative error = 2.5377774278491501829382514941683e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.664
y[1] (analytic) = 22787111.26932634737994518312081
y[1] (numeric) = 22787111.269326347379366896954302
absolute error = 5.78286166508e-13
relative error = 2.5377774289733206895488975435784e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.665
y[1] (analytic) = 22832731.096485551228299164289644
y[1] (numeric) = 22832731.096485551227719720393204
absolute error = 5.79443896440e-13
relative error = 2.5377774300910892246277858539440e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.666
y[1] (analytic) = 22878442.254599584664379191874977
y[1] (numeric) = 22878442.254599584663798587930827
absolute error = 5.80603944150e-13
relative error = 2.5377774312115711394551627685754e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.667
y[1] (analytic) = 22924244.926513141092537955336856
y[1] (numeric) = 22924244.92651314109195618902258
absolute error = 5.81766314276e-13
relative error = 2.5377774323251776495942020074507e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.668
y[1] (analytic) = 22970139.295436969237238528083384
y[1] (numeric) = 22970139.295436969236655597071915
absolute error = 5.82931011469e-13
relative error = 2.5377774334385493473181485823490e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.669
y[1] (analytic) = 23016125.54494860598629354635388
y[1] (numeric) = 23016125.544948605985709448313493
absolute error = 5.84098040387e-13
relative error = 2.5377774345482449691015143996838e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.67
y[1] (analytic) = 23062203.858993110701257530551248
y[1] (numeric) = 23062203.858993110700672263145548
absolute error = 5.85267405700e-13
relative error = 2.5377774356624415400757201589044e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.671
y[1] (analytic) = 23108374.421883800997909591571902
y[1] (numeric) = 23108374.421883800997323152459819
absolute error = 5.86439112083e-13
relative error = 2.5377774367704455920850268603899e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.672
y[1] (analytic) = 23154637.418302989999769645045138
y[1] (numeric) = 23154637.418302989999182031880915
absolute error = 5.87613164223e-13
relative error = 2.5377774378730320749038748613920e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.673
y[1] (analytic) = 23200993.033302725067597148529792
y[1] (numeric) = 23200993.033302725067008358962974
absolute error = 5.88789566818e-13
relative error = 2.5377774389779392488488268433482e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.674
y[1] (analytic) = 23247441.45230552800782728064811
y[1] (numeric) = 23247441.452305528007237312323538
absolute error = 5.89968324572e-13
relative error = 2.5377774400782105436496310502929e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.675
y[1] (analytic) = 23293982.86110513676290539688851
y[1] (numeric) = 23293982.861105136762314247446309
absolute error = 5.91149442201e-13
relative error = 2.5377774411780179722207533191955e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=1022.3MB, alloc=4.6MB, time=50.51
TOP MAIN SOLVE Loop
x[1] = 7.676
y[1] (analytic) = 23340617.445867248586486524403952
y[1] (numeric) = 23340617.445867248585894191479524
absolute error = 5.92332924428e-13
relative error = 2.5377774422710485455357261163784e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.677
y[1] (analytic) = 23387345.393130264706472597594817
y[1] (numeric) = 23387345.393130264705879078818828
absolute error = 5.93518775989e-13
relative error = 2.5377774433661829473733434339973e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.678
y[1] (analytic) = 23434166.889806036478866087618108
y[1] (numeric) = 23434166.889806036478271380616482
absolute error = 5.94707001626e-13
relative error = 2.5377774444573922827849749756539e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.679
y[1] (analytic) = 23481082.123180613035424642232376
y[1] (numeric) = 23481082.123180613034828744626283
absolute error = 5.95897606093e-13
relative error = 2.5377774455493583519599334636678e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.68
y[1] (analytic) = 23528091.280914990428107327593774
y[1] (numeric) = 23528091.280914990427510236999624
absolute error = 5.97090594150e-13
relative error = 2.5377774466317846556597200796236e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.681
y[1] (analytic) = 23575194.551045862273309050787098
y[1] (numeric) = 23575194.551045862272710764816526
absolute error = 5.98285970572e-13
relative error = 2.5377774477176407568342882437915e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.682
y[1] (analytic) = 23622392.12198637189888574103032
y[1] (numeric) = 23622392.121986371898286257290181
absolute error = 5.99483740139e-13
relative error = 2.5377774488005167441982461731832e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.683
y[1] (analytic) = 23669684.182526865996978878656248
y[1] (numeric) = 23669684.182526865996378194748605
absolute error = 6.00683907643e-13
relative error = 2.5377774498843092064436479841654e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.684
y[1] (analytic) = 23717070.921835649785653984174258
y[1] (numeric) = 23717070.921835649785052097696375
absolute error = 6.01886477883e-13
relative error = 2.5377774509619558605301911114208e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.685
y[1] (analytic) = 23764552.529459743682373714972969
y[1] (numeric) = 23764552.529459743681770623517299
absolute error = 6.03091455670e-13
relative error = 2.5377774520365038113003450571933e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.686
y[1] (analytic) = 23812129.195325641492332264565127
y[1] (numeric) = 23812129.195325641491727965719302
absolute error = 6.04298845825e-13
relative error = 2.5377774531125289555595014696531e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.687
y[1] (analytic) = 23859801.109740070114683818723211
y[1] (numeric) = 23859801.109740070114078310070035
absolute error = 6.05508653176e-13
relative error = 2.5377774541834663349640930384528e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.688
y[1] (analytic) = 23907568.463390750769703894432548
y[1] (numeric) = 23907568.463390750769097173549984
absolute error = 6.06720882564e-13
relative error = 2.5377774552567371019148397393087e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.689
y[1] (analytic) = 23955431.447347161749928471322234
y[1] (numeric) = 23955431.447347161749320535783399
absolute error = 6.07935538835e-13
relative error = 2.5377774563201329069068082548119e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.69
y[1] (analytic) = 24003390.25306130269832192114742
y[1] (numeric) = 24003390.253061302697712768520569
absolute error = 6.09152626851e-13
relative error = 2.5377774573877577573425617622618e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.691
y[1] (analytic) = 24051445.072368460416530849013681
y[1] (numeric) = 24051445.072368460415920476862203
absolute error = 6.10372151478e-13
relative error = 2.5377774584497917880697804893166e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.692
y[1] (analytic) = 24099596.097487976206287080379952
y[1] (numeric) = 24099596.097487976205675486262357
absolute error = 6.11594117595e-13
relative error = 2.5377774595099939190033740933950e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.693
y[1] (analytic) = 24147843.521024014747029160475067
y[1] (numeric) = 24147843.521024014746416341944976
absolute error = 6.12818530091e-13
relative error = 2.5377774605730623210405402824119e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.694
y[1] (analytic) = 24196187.535966334512817877639086
y[1] (numeric) = 24196187.535966334512203832245224
absolute error = 6.14045393862e-13
relative error = 2.5377774616321454318308791609295e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.695
y[1] (analytic) = 24244628.335691059731627479278723
y[1] (numeric) = 24244628.335691059731012204564908
absolute error = 6.15274713815e-13
relative error = 2.5377774626853748462589653284229e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.696
y[1] (analytic) = 24293166.113961453890100418631022
y[1] (numeric) = 24293166.113961453889483912136154
absolute error = 6.16506494868e-13
relative error = 2.5377774637357350039572465796562e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.697
y[1] (analytic) = 24341801.064928694786859652385594
y[1] (numeric) = 24341801.064928694786241911643645
absolute error = 6.17740741949e-13
relative error = 2.5377774647868258208127540470401e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.698
y[1] (analytic) = 24390533.383132651137478703448024
y[1] (numeric) = 24390533.383132651136859725988031
absolute error = 6.18977459993e-13
relative error = 2.5377774658304757636668927420761e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.699
y[1] (analytic) = 24439363.263502660734215909760175
y[1] (numeric) = 24439363.263502660733595693106225
absolute error = 6.20216653950e-13
relative error = 2.5377774668795125767357334523353e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.7
y[1] (analytic) = 24488290.901358310163625499151908
y[1] (numeric) = 24488290.901358310163004040823133
absolute error = 6.21458328775e-13
relative error = 2.5377774679266371779459490383979e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.701
y[1] (analytic) = 24537316.49241021608516436170817
y[1] (numeric) = 24537316.492410216084541659218736
absolute error = 6.22702489434e-13
relative error = 2.5377774689689959622688643947016e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.702
y[1] (analytic) = 24586440.232760808073919635120228
y[1] (numeric) = 24586440.232760808073295685979324
absolute error = 6.23949140904e-13
relative error = 2.5377774700080558783271414101470e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.703
y[1] (analytic) = 24635662.31890511303058847497518
y[1] (numeric) = 24635662.318905113029963276687008
absolute error = 6.25198288172e-13
relative error = 2.5377774710454214199634217772713e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.704
y[1] (analytic) = 24684982.947731541161847650948712
y[1] (numeric) = 24684982.947731541161221201012478
absolute error = 6.26449936234e-13
relative error = 2.5377774720787013440412709009266e-18 %
Correct digits = 19
memory used=1026.1MB, alloc=4.6MB, time=50.69
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.705
y[1] (analytic) = 24734402.316522673534256891427454
y[1] (numeric) = 24734402.316522673533629187337356
absolute error = 6.27704090098e-13
relative error = 2.5377774731135965759379860980739e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.706
y[1] (analytic) = 24783920.622956051204846193224388
y[1] (numeric) = 24783920.622956051204217232469608
absolute error = 6.28960754780e-13
relative error = 2.5377774741475991638289253249886e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.707
y[1] (analytic) = 24833538.065104965931543619788722
y[1] (numeric) = 24833538.065104965930913399853415
absolute error = 6.30219935307e-13
relative error = 2.5377774751820736914906087178835e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.708
y[1] (analytic) = 24883254.841439252466606430675696
y[1] (numeric) = 24883254.841439252465974949038983
absolute error = 6.31481636713e-13
relative error = 2.5377774762060628201833816709904e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.709
y[1] (analytic) = 24933071.15082608243622471705725
y[1] (numeric) = 24933071.150826082435591971193202
absolute error = 6.32745864048e-13
relative error = 2.5377774772324261625913509243236e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.71
y[1] (analytic) = 24982987.192530759809473062746566
y[1] (numeric) = 24982987.192530759808839050124199
absolute error = 6.34012622367e-13
relative error = 2.5377774782534920217701221538098e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.711
y[1] (analytic) = 25033003.166217517959792107603796
y[1] (numeric) = 25033003.166217517959156825687057
absolute error = 6.35281916739e-13
relative error = 2.5377774792771337206445859736699e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.712
y[1] (analytic) = 25083119.271950318322188260311943
y[1] (numeric) = 25083119.271950318321551706559703
absolute error = 6.36553752240e-13
relative error = 2.5377774802986265943205727834335e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.713
y[1] (analytic) = 25133335.710193650649346190386646
y[1] (numeric) = 25133335.710193650648708362252689
absolute error = 6.37828133957e-13
relative error = 2.5377774813166078440467741378466e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.714
y[1] (analytic) = 25183652.68181333486985512493683
y[1] (numeric) = 25183652.681813334869216019869843
absolute error = 6.39105066987e-13
relative error = 2.5377774823289915066982924878090e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.715
y[1] (analytic) = 25234070.388077324551756384150566
y[1] (numeric) = 25234070.388077324551115999594127
absolute error = 6.40384556439e-13
relative error = 2.5377774833408207220398764939688e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.716
y[1] (analytic) = 25284589.030656511974626010767555
y[1] (numeric) = 25284589.030656511973984344160123
absolute error = 6.41666607432e-13
relative error = 2.5377774843562058359697957549366e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.717
y[1] (analytic) = 25335208.811625534813412782942188
y[1] (numeric) = 25335208.811625534812769831717096
absolute error = 6.42951225092e-13
relative error = 2.5377774853664114856309230005591e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.718
y[1] (analytic) = 25385929.933463584437258346924821
y[1] (numeric) = 25385929.933463584436614108510263
absolute error = 6.44238414558e-13
relative error = 2.5377774863735390997737620949909e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.719
y[1] (analytic) = 25436752.599055215826532665919512
y[1] (numeric) = 25436752.599055215825887137738534
absolute error = 6.45528180978e-13
relative error = 2.5377774873746129058098883072030e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.72
y[1] (analytic) = 25487677.01169115911132445433992
y[1] (numeric) = 25487677.011691159110677633810406
absolute error = 6.46820529514e-13
relative error = 2.5377774883811670869102126824347e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.721
y[1] (analytic) = 25538703.375069132734632752507135
y[1] (numeric) = 25538703.375069132733984637041803
absolute error = 6.48115465332e-13
relative error = 2.5377774893798638867768958914894e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.722
y[1] (analytic) = 25589831.893294658243512295639986
y[1] (numeric) = 25589831.893294658242862882646373
absolute error = 6.49412993613e-13
relative error = 2.5377774903756466401364049870296e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.723
y[1] (analytic) = 25641062.770881876711431842805659
y[1] (numeric) = 25641062.77088187671078112968611
absolute error = 6.50713119549e-13
relative error = 2.5377774913758768951198074644773e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.724
y[1] (analytic) = 25692396.21275436679511115635252
y[1] (numeric) = 25692396.212754366794459140504182
absolute error = 6.52015848338e-13
relative error = 2.5377774923707682437936955679190e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.725
y[1] (analytic) = 25743832.424245964429108860263809
y[1] (numeric) = 25743832.424245964428455539078617
absolute error = 6.53321185192e-13
relative error = 2.5377774933645519369870519775009e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.726
y[1] (analytic) = 25795371.61110158416143995687655
y[1] (numeric) = 25795371.611101584160785327741217
absolute error = 6.54629135333e-13
relative error = 2.5377774943597497763264252563593e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.727
y[1] (analytic) = 25847013.979478042133508345530866
y[1] (numeric) = 25847013.979478042132852405826876
absolute error = 6.55939703990e-13
relative error = 2.5377774953455034625667453431412e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.728
y[1] (analytic) = 25898759.73594488070764626397709
y[1] (numeric) = 25898759.735944880706989011080681
absolute error = 6.57252896409e-13
relative error = 2.5377774963362392459143391552780e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.729
y[1] (analytic) = 25950609.087485194745559163797908
y[1] (numeric) = 25950609.087485194744900595080069
absolute error = 6.58568717839e-13
relative error = 2.5377774973173863251644964850320e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.73
y[1] (analytic) = 26002562.241496459540981134726794
y[1] (numeric) = 26002562.241496459540321247553248
absolute error = 6.59887173546e-13
relative error = 2.5377774982994259972505920461718e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.731
y[1] (analytic) = 26054619.405791360409852609588287
y[1] (numeric) = 26054619.405791360409191401319483
absolute error = 6.61208268804e-13
relative error = 2.5377774992830183449786861304925e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.732
y[1] (analytic) = 26106780.78859862394133871167709
y[1] (numeric) = 26106780.788598623940676179668195
absolute error = 6.62532008895e-13
relative error = 2.5377775002590191293773942487506e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1030.0MB, alloc=4.6MB, time=50.88
x[1] = 7.733
y[1] (analytic) = 26159046.598563850913013249757706
y[1] (numeric) = 26159046.598563850912349391358589
absolute error = 6.63858399117e-13
relative error = 2.5377775012390790588438349210355e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.734
y[1] (analytic) = 26211417.044750350873540022531128
y[1] (numeric) = 26211417.044750350872874835086354
absolute error = 6.65187444774e-13
relative error = 2.5377775022172042944799251156362e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.735
y[1] (analytic) = 26263892.336639978396189764406603
y[1] (numeric) = 26263892.336639978395523245255422
absolute error = 6.66519151181e-13
relative error = 2.5377775031888889945235842400797e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.736
y[1] (analytic) = 26316472.684133971006537747761244
y[1] (numeric) = 26316472.684133971005869894237577
absolute error = 6.67853523667e-13
relative error = 2.5377775041624195882450926145924e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.737
y[1] (analytic) = 26369158.297553788787693753595129
y[1] (numeric) = 26369158.297553788787024563027562
absolute error = 6.69190567567e-13
relative error = 2.5377775051283278839955801094322e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.738
y[1] (analytic) = 26421949.387641955666422832621269
y[1] (numeric) = 26421949.387641955665752302333037
absolute error = 6.70530288232e-13
relative error = 2.5377775060973346247156828442177e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.739
y[1] (analytic) = 26474846.16556290238352200239517
y[1] (numeric) = 26474846.165562902382850129704151
absolute error = 6.71872691019e-13
relative error = 2.5377775070622956721692478434686e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.74
y[1] (analytic) = 26527848.84290381115182476311477
y[1] (numeric) = 26527848.842903811151151545333471
absolute error = 6.73217781299e-13
relative error = 2.5377775080284562331416282106187e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.741
y[1] (analytic) = 26580957.631675462005212065235002
y[1] (numeric) = 26580957.631675462004537499670551
absolute error = 6.74565564451e-13
relative error = 2.5377775089906740205734418228092e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.742
y[1] (analytic) = 26634172.744313080842015126069336
y[1] (numeric) = 26634172.744313080841339210023469
absolute error = 6.75916045867e-13
relative error = 2.5377775099522148867961517560435e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.743
y[1] (analytic) = 26687494.393677189166202270120275
y[1] (numeric) = 26687494.393677189165525000889327
absolute error = 6.77269230948e-13
relative error = 2.5377775109095999338082279876272e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.744
y[1] (analytic) = 26740922.79305445552974875901917
y[1] (numeric) = 26740922.793054455529070133894063
absolute error = 6.78625125107e-13
relative error = 2.5377775118638107195109079648977e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.745
y[1] (analytic) = 26794458.156158548679595381689918
y[1] (numeric) = 26794458.156158548678915397956149
absolute error = 6.79983733769e-13
relative error = 2.5377775128201640326626469573845e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.746
y[1] (analytic) = 26848100.69713099241260839370844
y[1] (numeric) = 26848100.697130992411927048646074
absolute error = 6.81345062366e-13
relative error = 2.5377775137695644497532999426287e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.747
y[1] (analytic) = 26901850.630542022141960226837506
y[1] (numeric) = 26901850.63054202214127751772116
absolute error = 6.82709116346e-13
relative error = 2.5377775147220222445957379998240e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.748
y[1] (analytic) = 26955708.17139144317835723540182
y[1] (numeric) = 26955708.171391443177673159500657
absolute error = 6.84075901163e-13
relative error = 2.5377775156692841873734234912069e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.749
y[1] (analytic) = 27009673.535109490729547605558745
y[1] (numeric) = 27009673.535109490728862160136459
absolute error = 6.85445422286e-13
relative error = 2.5377775166182561890885867177213e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.75
y[1] (analytic) = 27063746.937557691621549426642953
y[1] (numeric) = 27063746.937557691620862608957761
absolute error = 6.86817685192e-13
relative error = 2.5377775175649065278243496725225e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.751
y[1] (analytic) = 27117928.595029727745045810646262
y[1] (numeric) = 27117928.595029727744357617950892
absolute error = 6.88192695370e-13
relative error = 2.5377775185090444256679691695651e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.752
y[1] (analytic) = 27172218.724252301230400846564389
y[1] (numeric) = 27172218.724252301229711276106069
absolute error = 6.89570458320e-13
relative error = 2.5377775194505208050068626143045e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.753
y[1] (analytic) = 27226617.54238600135475709082801
y[1] (numeric) = 27226617.542386001354066139848456
absolute error = 6.90950979554e-13
relative error = 2.5377775203928199521133259691046e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.754
y[1] (analytic) = 27281125.267026173184682223363958
y[1] (numeric) = 27281125.267026173183989889099367
absolute error = 6.92334264591e-13
relative error = 2.5377775213246147322216309743141e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.755
y[1] (analytic) = 27335742.11620378795783944103139
y[1] (numeric) = 27335742.116203787957145720712422
absolute error = 6.93720318968e-13
relative error = 2.5377775222600739690592339696351e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.756
y[1] (analytic) = 27390468.308386315207163116274976
y[1] (numeric) = 27390468.308386315206468007126748
absolute error = 6.95109148228e-13
relative error = 2.5377775231947165271663281766478e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.757
y[1] (analytic) = 27445304.062478596631028218860608
y[1] (numeric) = 27445304.062478596630331718102683
absolute error = 6.96500757925e-13
relative error = 2.5377775241237343091912452189423e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.758
y[1] (analytic) = 27500249.597823721712908982536466
y[1] (numeric) = 27500249.597823721712211087382839
absolute error = 6.97895153627e-13
relative error = 2.5377775250528238887417240471318e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.759
y[1] (analytic) = 27555305.134203905094029296421583
y[1] (numeric) = 27555305.134203905093330004080671
absolute error = 6.99292340912e-13
relative error = 2.5377775259834846957111145416499e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.76
y[1] (analytic) = 27610470.891841365702514312893334
y[1] (numeric) = 27610470.891841365701813620567966
absolute error = 7.00692325368e-13
relative error = 2.5377775269129799148213964105894e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.761
y[1] (analytic) = 27665747.091399207642559789752431
y[1] (numeric) = 27665747.091399207641857694639838
absolute error = 7.02095112593e-13
relative error = 2.5377775278342979418864397909153e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=1033.8MB, alloc=4.6MB, time=51.06
TOP MAIN SOLVE Loop
x[1] = 7.762
y[1] (analytic) = 27721133.953982302847142724517326
y[1] (numeric) = 27721133.953982302846439223809125
absolute error = 7.03500708201e-13
relative error = 2.5377775287577585303581403731987e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.763
y[1] (analytic) = 27776631.701138175497803892867416
y[1] (numeric) = 27776631.701138175497098983749603
absolute error = 7.04909117813e-13
relative error = 2.5377775296783577901147316438982e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.764
y[1] (analytic) = 27832240.55485788821503997154444
y[1] (numeric) = 27832240.554857888214333651197377
absolute error = 7.06320347063e-13
relative error = 2.5377775305973977880741498725048e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.765
y[1] (analytic) = 27887960.737576930022850008462148
y[1] (numeric) = 27887960.737576930022142274060552
absolute error = 7.07734401596e-13
relative error = 2.5377775315151713938227606770168e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.766
y[1] (analytic) = 27943792.472176106090988099394068
y[1] (numeric) = 27943792.472176106090278948106999
absolute error = 7.09151287069e-13
relative error = 2.5377775324344701180818854187562e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.767
y[1] (analytic) = 27999735.9819824292584812414364
y[1] (numeric) = 27999735.981982429257770670427254
absolute error = 7.10571009146e-13
relative error = 2.5377775333426210244710040954205e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.768
y[1] (analytic) = 28055791.490770013341978458506171
y[1] (numeric) = 28055791.490770013341266464932661
absolute error = 7.11993573510e-13
relative error = 2.5377775342543322216446572859501e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.769
y[1] (analytic) = 28111959.222760968232504433462188
y[1] (numeric) = 28111959.222760968231791014476338
absolute error = 7.13418985850e-13
relative error = 2.5377775351650953641446613095941e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.77
y[1] (analytic) = 28168239.402626296784198035056828
y[1] (numeric) = 28168239.402626296783483187804961
absolute error = 7.14847251867e-13
relative error = 2.5377775360725968204460278075229e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.771
y[1] (analytic) = 28224632.255486793498623295868591
y[1] (numeric) = 28224632.255486793497907017491316
absolute error = 7.16278377275e-13
relative error = 2.5377775369801581279821645000945e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.772
y[1] (analytic) = 28281138.006913945008247579657585
y[1] (numeric) = 28281138.006913945007529867289788
absolute error = 7.17712367797e-13
relative error = 2.5377775378824552837978006863071e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.773
y[1] (analytic) = 28337756.882930832362688873257264
y[1] (numeric) = 28337756.882930832361969724028093
absolute error = 7.19149229171e-13
relative error = 2.5377775387866973421510640800998e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.774
y[1] (analytic) = 28394489.110013035121341349194618
y[1] (numeric) = 28394489.110013035120620760227475
absolute error = 7.20588967143e-13
relative error = 2.5377775396877679466666346835815e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.775
y[1] (analytic) = 28451334.915089537255995570746542
y[1] (numeric) = 28451334.91508953725527353915907
absolute error = 7.22031587472e-13
relative error = 2.5377775405858412377656535559104e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.776
y[1] (analytic) = 28508294.52554363486707695112106
y[1] (numeric) = 28508294.525543634866353474025131
absolute error = 7.23477095929e-13
relative error = 2.5377775414827406496202935688357e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.777
y[1] (analytic) = 28565368.169213845717133332927535
y[1] (numeric) = 28565368.169213845716408407429238
absolute error = 7.24925498297e-13
relative error = 2.5377775423818416230098367223040e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.778
y[1] (analytic) = 28622556.074394820585209823098892
y[1] (numeric) = 28622556.074394820584483446298525
absolute error = 7.26376800367e-13
relative error = 2.5377775432740002319484044297274e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.779
y[1] (analytic) = 28679858.469838256445756301980343
y[1] (numeric) = 28679858.469838256445028470972396
absolute error = 7.27831007947e-13
relative error = 2.5377775441689782215955870397276e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.78
y[1] (analytic) = 28737275.5847538114757203234322
y[1] (numeric) = 28737275.584753811474991035305348
absolute error = 7.29288126852e-13
relative error = 2.5377775450603756914477359039464e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.781
y[1] (analytic) = 28794807.648810021893485435538414
y[1] (numeric) = 28794807.648810021892754687375504
absolute error = 7.30748162910e-13
relative error = 2.5377775459465484472121713178037e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.782
y[1] (analytic) = 28852454.892135220633322278896554
y[1] (numeric) = 28852454.892135220632590067774592
absolute error = 7.32211121962e-13
relative error = 2.5377775468304799425414009658954e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.783
y[1] (analytic) = 28910217.545318457859027161518526
y[1] (numeric) = 28910217.545318457858293484508665
absolute error = 7.33677009861e-13
relative error = 2.5377775477161953260378726148727e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.784
y[1] (analytic) = 28968095.839410423320430166123682
y[1] (numeric) = 28968095.839410423319695020291212
absolute error = 7.35145832470e-13
relative error = 2.5377775486017659647659982986577e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.785
y[1] (analytic) = 29026090.005924370556462217086562
y[1] (numeric) = 29026090.005924370555725599490899
absolute error = 7.36617595663e-13
relative error = 2.5377775494827331344660496347424e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.786
y[1] (analytic) = 29084200.276837042948477920539802
y[1] (numeric) = 29084200.276837042947739828234474
absolute error = 7.38092305328e-13
relative error = 2.5377775503623674468147720805941e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.787
y[1] (analytic) = 29142426.884589601627538392158305
y[1] (numeric) = 29142426.884589601626798822190942
absolute error = 7.39569967363e-13
relative error = 2.5377775512377853144847168309565e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.788
y[1] (analytic) = 29200770.062088555239365702993204
y[1] (numeric) = 29200770.062088555238624652405523
absolute error = 7.41050587681e-13
relative error = 2.5377775521170523335568932581985e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.789
y[1] (analytic) = 29259230.042706691570688004413074
y[1] (numeric) = 29259230.042706691569945470240873
absolute error = 7.42534172201e-13
relative error = 2.5377775529882336879513292008615e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1037.6MB, alloc=4.6MB, time=51.24
x[1] = 7.79
y[1] (analytic) = 29317807.060284011040701838775084
y[1] (numeric) = 29317807.060284011039957818048224
absolute error = 7.44020726860e-13
relative error = 2.5377775538604435837998290146694e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.791
y[1] (analytic) = 29376501.349128662061385602919954
y[1] (numeric) = 29376501.349128662060640092662351
absolute error = 7.45510257603e-13
relative error = 2.5377775547295138283442966854991e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.792
y[1] (analytic) = 29435313.144017878270405606991754
y[1] (numeric) = 29435313.144017878269658604221365
absolute error = 7.47002770389e-13
relative error = 2.5377775555984290338770289303802e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.793
y[1] (analytic) = 29494242.680198917640363661456394
y[1] (numeric) = 29494242.680198917639615163185206
absolute error = 7.48498271188e-13
relative error = 2.5377775564670030468705604728500e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.794
y[1] (analytic) = 29553290.193390003468142630561321
y[1] (numeric) = 29553290.19339000346739263379534
absolute error = 7.49996765981e-13
relative error = 2.5377775573318297010662068638216e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.795
y[1] (analytic) = 29612455.919781267248113910873277
y[1] (numeric) = 29612455.919781267247362412612514
absolute error = 7.51498260763e-13
relative error = 2.5377775581963650608611543567077e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.796
y[1] (analytic) = 29671740.0960356934329783289812
y[1] (numeric) = 29671740.09603569343222532621966
absolute error = 7.53002761540e-13
relative error = 2.5377775590606675691064182319663e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.797
y[1] (analytic) = 29731142.959290066086019502987539
y[1] (numeric) = 29731142.959290066085264992713211
absolute error = 7.54510274328e-13
relative error = 2.5377775599179875712361262074845e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.798
y[1] (analytic) = 29790664.74715591742855627806364
y[1] (numeric) = 29790664.74715591742780025725848
absolute error = 7.56020805160e-13
relative error = 2.5377775607782518156400114152549e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.799
y[1] (analytic) = 29850305.697720478286388427143656
y[1] (numeric) = 29850305.697720478285630892783581
absolute error = 7.57534360075e-13
relative error = 2.5377775616309657778832736730055e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.8
y[1] (analytic) = 29910066.049547630439037403807077
y[1] (numeric) = 29910066.049547630438278352861946
absolute error = 7.59050945131e-13
relative error = 2.5377775624888000981784453807810e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.801
y[1] (analytic) = 29969946.04167886087559154558265
y[1] (numeric) = 29969946.041678860874830975016259
absolute error = 7.60570566391e-13
relative error = 2.5377775633405653118070638838655e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.802
y[1] (analytic) = 30029945.913634217960972752326888
y[1] (numeric) = 30029945.913634217960210659096952
absolute error = 7.62093229936e-13
relative error = 2.5377775641946590237881013955173e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.803
y[1] (analytic) = 30090065.905413269516449306018727
y[1] (numeric) = 30090065.905413269515685687076873
absolute error = 7.63618941854e-13
relative error = 2.5377775650422329606007255147835e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.804
y[1] (analytic) = 30150306.257496062818227155299093
y[1] (numeric) = 30150306.257496062817462007590843
absolute error = 7.65147708250e-13
relative error = 2.5377775658904512768389400190731e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.805
y[1] (analytic) = 30210667.210844086517959660400476
y[1] (numeric) = 30210667.210844086517192980865238
absolute error = 7.66679535238e-13
relative error = 2.5377775667357694272631016376951e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.806
y[1] (analytic) = 30271149.00690123448902348178808
y[1] (numeric) = 30271149.006901234488255267359134
absolute error = 7.68214428946e-13
relative error = 2.5377775675804774349709516902598e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.807
y[1] (analytic) = 30331751.887594771602415998901219
y[1] (numeric) = 30331751.887594771601646246505706
absolute error = 7.69752395513e-13
relative error = 2.5377775684226703159387435577130e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.808
y[1] (analytic) = 30392476.095336301436137363872339
y[1] (numeric) = 30392476.095336301435366070431247
absolute error = 7.71293441092e-13
relative error = 2.5377775692660799560582373435157e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.809
y[1] (analytic) = 30453321.873022735921928029042158
y[1] (numeric) = 30453321.873022735921155191470313
absolute error = 7.72837571845e-13
relative error = 2.5377775701035195007770383713770e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.81
y[1] (analytic) = 30514289.464037266933240336513903
y[1] (numeric) = 30514289.464037266932465951719952
absolute error = 7.74384793951e-13
relative error = 2.5377775709431287058686872742857e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.811
y[1] (analytic) = 30575379.112250339818330522928438
y[1] (numeric) = 30575379.112250339817554587814841
absolute error = 7.75935113597e-13
relative error = 2.5377775717787048587199098738241e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.812
y[1] (analytic) = 30636591.062020628882365273126372
y[1] (numeric) = 30636591.062020628881587784589386
absolute error = 7.77488536986e-13
relative error = 2.5377775726158774970361706975674e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.813
y[1] (analytic) = 30697925.558196014822444752423968
y[1] (numeric) = 30697925.558196014821665707353639
absolute error = 7.79045070329e-13
relative error = 2.5377775734458492551777637353383e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.814
y[1] (analytic) = 30759382.846114564119451858898278
y[1] (numeric) = 30759382.846114564118671254178422
absolute error = 7.80604719856e-13
relative error = 2.5377775742812204063438379152164e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.815
y[1] (analytic) = 30820963.171605510390645264384308
y[1] (numeric) = 30820963.171605510389863096892506
absolute error = 7.82167491802e-13
relative error = 2.5377775751102710179843453932006e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.816
y[1] (analytic) = 30882666.780990237706921655864913
y[1] (numeric) = 30882666.780990237706137922472493
absolute error = 7.83733392420e-13
relative error = 2.5377775759392174147120319045553e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.817
y[1] (analytic) = 30944493.921083265878680447613421
y[1] (numeric) = 30944493.921083265877895145185448
absolute error = 7.85302427973e-13
relative error = 2.5377775767660999169899797694698e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.818
y[1] (analytic) = 31006444.839193237714232108861585
y[1] (numeric) = 31006444.839193237713445234256848
absolute error = 7.86874604737e-13
relative error = 2.5377775775904588756866774123804e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=1041.4MB, alloc=4.6MB, time=51.43
TOP MAIN SOLVE Loop
x[1] = 7.819
y[1] (analytic) = 31068519.783123908254699141942504
y[1] (numeric) = 31068519.783123908253910692013503
absolute error = 7.88449929001e-13
relative error = 2.5377775784132389610163939339434e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.82
y[1] (analytic) = 31130719.001175135989366651831406
y[1] (numeric) = 31130719.00117513598857662342434
absolute error = 7.90028407066e-13
relative error = 2.5377775792334820867335237380468e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.821
y[1] (analytic) = 31193042.742143876055447369808199
y[1] (numeric) = 31193042.742143876054655759762952
absolute error = 7.91610045247e-13
relative error = 2.5377775800546772633335482922223e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.822
y[1] (analytic) = 31255491.25532517542623393162614
y[1] (numeric) = 31255491.25532517542544073677627
absolute error = 7.93194849870e-13
relative error = 2.5377775808750370925325596493938e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.823
y[1] (analytic) = 31318064.790513170091619164122662
y[1] (numeric) = 31318064.790513170090824381295388
absolute error = 7.94782827274e-13
relative error = 2.5377775816938556261889993792393e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.824
y[1] (analytic) = 31380763.598002084234973103683076
y[1] (numeric) = 31380763.598002084234176729699266
absolute error = 7.96373983810e-13
relative error = 2.5377775825082301642980108411907e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.825
y[1] (analytic) = 31443587.92858723141037345539746
y[1] (numeric) = 31443587.928587231409575487071617
absolute error = 7.97968325843e-13
relative error = 2.5377775833193630221057268918482e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.826
y[1] (analytic) = 31506538.033566017724194203167468
y[1] (numeric) = 31506538.033566017723394637307716
absolute error = 7.99565859752e-13
relative error = 2.5377775841324398329942749964208e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.827
y[1] (analytic) = 31569614.164738947025065098455083
y[1] (numeric) = 31569614.164738947024263931863157
absolute error = 8.01166591926e-13
relative error = 2.5377775849438384920556630073767e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.828
y[1] (analytic) = 31632816.574410628106222788851518
y[1] (numeric) = 31632816.57441062810542001832275
absolute error = 8.02770528768e-13
relative error = 2.5377775857537812306459487288899e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.829
y[1] (analytic) = 31696145.51539078392428239721372
y[1] (numeric) = 31696145.515390783923478019537027
absolute error = 8.04377676693e-13
relative error = 2.5377775865599056363925898986350e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.83
y[1] (analytic) = 31759601.240995262838466427800415
y[1] (numeric) = 31759601.240995262837660439758284
absolute error = 8.05988042131e-13
relative error = 2.5377775873666556235074751007661e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.831
y[1] (analytic) = 31823184.005047051874335957671635
y[1] (numeric) = 31823184.005047051873528356040113
absolute error = 8.07601631522e-13
relative error = 2.5377775881694209123443379551590e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.832
y[1] (analytic) = 31886894.061877292016077169627519
y[1] (numeric) = 31886894.061877292015267951176198
absolute error = 8.09218451321e-13
relative error = 2.5377775889702269231814490490435e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.833
y[1] (analytic) = 31950731.666326295531404397186239
y[1] (numeric) = 31950731.666326295530593558678243
absolute error = 8.10838507996e-13
relative error = 2.5377775897713282279849808235271e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.834
y[1] (analytic) = 32014697.07374456533314898256966
y[1] (numeric) = 32014697.073744565332336520761633
absolute error = 8.12461808027e-13
relative error = 2.5377775905720018112637955924429e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.835
y[1] (analytic) = 32078790.539993816381611395411324
y[1] (numeric) = 32078790.539993816380797307053417
absolute error = 8.14088357907e-13
relative error = 2.5377775913716132468683837782061e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.836
y[1] (analytic) = 32143012.321447999131762222957093
y[1] (numeric) = 32143012.321447999130946504792952
absolute error = 8.15718164141e-13
relative error = 2.5377775921664239417476411988080e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.837
y[1] (analytic) = 32207362.674994325029385821927019
y[1] (numeric) = 32207362.67499432502856847069377
absolute error = 8.17351233249e-13
relative error = 2.5377775929588560083262191871095e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.838
y[1] (analytic) = 32271841.858034294060268617980364
y[1] (numeric) = 32271841.858034294059449630408601
absolute error = 8.18987571763e-13
relative error = 2.5377775937480540346744176809608e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.839
y[1] (analytic) = 32336450.128484724356542250907048
y[1] (numeric) = 32336450.128484724355721623720817
absolute error = 8.20627186231e-13
relative error = 2.5377775945422068683184365727731e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.84
y[1] (analytic) = 32401187.744778783864299992290895
y[1] (numeric) = 32401187.744778783863477722207687
absolute error = 8.22270083208e-13
relative error = 2.5377775953305997348679939017249e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.841
y[1] (analytic) = 32466054.965867024076613107485935
y[1] (numeric) = 32466054.965867024075789191216668
absolute error = 8.23916269267e-13
relative error = 2.5377775961176034965502530436331e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.842
y[1] (analytic) = 32531052.051218415836082095349484
y[1] (numeric) = 32531052.051218415835256529598491
absolute error = 8.25565750993e-13
relative error = 2.5377775969039996536932718876355e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.843
y[1] (analytic) = 32596179.260821387211066017318062
y[1] (numeric) = 32596179.260821387210238798783077
absolute error = 8.27218534985e-13
relative error = 2.5377775976930709128983073084864e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.844
y[1] (analytic) = 32661436.855184863449741422127277
y[1] (numeric) = 32661436.855184863448912547499426
absolute error = 8.28874627851e-13
relative error = 2.5377775984751867916090605611284e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.845
y[1] (analytic) = 32726825.095339309016150683798006
y[1] (numeric) = 32726825.095339309015320149761789
absolute error = 8.30534036217e-13
relative error = 2.5377775992553520621181240859966e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.846
y[1] (analytic) = 32792344.242837771712407898471576
y[1] (numeric) = 32792344.242837771711575701704855
absolute error = 8.32196766721e-13
relative error = 2.5377776000346831719597479521786e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.847
y[1] (analytic) = 32857994.559756928891238830309716
y[1] (numeric) = 32857994.559756928890404967483702
absolute error = 8.33862826014e-13
relative error = 2.5377776008134094844533012344337e-18 %
Correct digits = 19
h = 0.001
memory used=1045.2MB, alloc=4.6MB, time=51.61
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.848
y[1] (analytic) = 32923776.308698135763039758014012
y[1] (numeric) = 32923776.308698135762204225793251
absolute error = 8.35532220761e-13
relative error = 2.5377776015938386109413387546397e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.849
y[1] (analytic) = 32989689.752788475801648451597982
y[1] (numeric) = 32989689.752788475800811246640345
absolute error = 8.37204957637e-13
relative error = 2.5377776023681298356505775783503e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.85
y[1] (analytic) = 33055735.15568181325302890389624
y[1] (numeric) = 33055735.155681813252190022852906
absolute error = 8.38881043334e-13
relative error = 2.5377776031394909570251113962044e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.851
y[1] (analytic) = 33121912.781559847751079852952995
y[1] (numeric) = 33121912.781559847750239292468437
absolute error = 8.40560484558e-13
relative error = 2.5377776039129299739613527943291e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.852
y[1] (analytic) = 33188222.895133171044785559930147
y[1] (numeric) = 33188222.895133171043943316642122
absolute error = 8.42243288025e-13
relative error = 2.5377776046831037020775967460240e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.853
y[1] (analytic) = 33254665.76164232584093575254706
y[1] (numeric) = 33254665.761642325840091823086593
absolute error = 8.43929460467e-13
relative error = 2.5377776054523827594175613523431e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.854
y[1] (analytic) = 33321241.646858866766650106343566
y[1] (numeric) = 33321241.646858866765804487334938
absolute error = 8.45619008628e-13
relative error = 2.5377776062186895600796036221157e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.855
y[1] (analytic) = 33387950.817086423455951115278756
y[1] (numeric) = 33387950.817086423455103803339488
absolute error = 8.47311939268e-13
relative error = 2.5377776069874422233179484692709e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.856
y[1] (analytic) = 33454793.53916176576463769937447
y[1] (numeric) = 33454793.539161765763788691115314
absolute error = 8.49008259156e-13
relative error = 2.5377776077504752125441539363754e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.857
y[1] (analytic) = 33521770.08045587111772041031823
y[1] (numeric) = 33521770.080455871116869702343152
absolute error = 8.50707975078e-13
relative error = 2.5377776085099591043159715825766e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.858
y[1] (analytic) = 33588880.708874993993687626189544
y[1] (numeric) = 33588880.708874993992835215095709
absolute error = 8.52411093835e-13
relative error = 2.5377776092722625008577236351908e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.859
y[1] (analytic) = 33656125.692861737549880673800346
y[1] (numeric) = 33656125.692861737549026556178108
absolute error = 8.54117622238e-13
relative error = 2.5377776100329730650029019308525e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.86
y[1] (analytic) = 33723505.301396127393264381578908
y[1] (numeric) = 33723505.301396127392408554011796
absolute error = 8.55827567112e-13
relative error = 2.5377776107887853271161803816390e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.861
y[1] (analytic) = 33791019.803996687500888147511116
y[1] (numeric) = 33791019.803996687500030606575817
absolute error = 8.57540935299e-13
relative error = 2.5377776115462870978489728154092e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.862
y[1] (analytic) = 33858669.47072151829434120541794
y[1] (numeric) = 33858669.470721518293481947684289
absolute error = 8.59257733651e-13
relative error = 2.5377776123011057890147863883546e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.863
y[1] (analytic) = 33926454.572169376872514388827614
y[1] (numeric) = 33926454.572169376871653410858578
absolute error = 8.60977969036e-13
relative error = 2.5377776130556221554114595946521e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.864
y[1] (analytic) = 33994375.37948075940698932492987
y[1] (numeric) = 33994375.379480759406126623281536
absolute error = 8.62701648334e-13
relative error = 2.5377776138070555468791905616637e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.865
y[1] (analytic) = 34062432.164338985704384641612218
y[1] (numeric) = 34062432.164338985703520212833777
absolute error = 8.64428778441e-13
relative error = 2.5377776145591777146168522676969e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.866
y[1] (analytic) = 34130625.19897128593999743840916
y[1] (numeric) = 34130625.198971285939131279042895
absolute error = 8.66159366265e-13
relative error = 2.5377776153104469798587114314261e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.867
y[1] (analytic) = 34198954.756149889567086957379219
y[1] (numeric) = 34198954.756149889566219063960492
absolute error = 8.67893418727e-13
relative error = 2.5377776160569044267478623245669e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.868
y[1] (analytic) = 34267421.10919311640615609249634
y[1] (numeric) = 34267421.109193116405286461553576
absolute error = 8.69630942764e-13
relative error = 2.5377776168008719791234069414769e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.869
y[1] (analytic) = 34336024.531966469918595096136484
y[1] (numeric) = 34336024.531966469917723724191156
absolute error = 8.71371945328e-13
relative error = 2.5377776175478966159454840861599e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.87
y[1] (analytic) = 34404765.298883732669060578691932
y[1] (numeric) = 34404765.298883732668187462258551
absolute error = 8.73116433381e-13
relative error = 2.5377776182921043861470180961521e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.871
y[1] (analytic) = 34473643.68490806398097165228994
y[1] (numeric) = 34473643.68490806398009678787604
absolute error = 8.74864413900e-13
relative error = 2.5377776190307373124278703529589e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.872
y[1] (analytic) = 34542659.965553099789513842063834
y[1] (numeric) = 34542659.965553099788637226169953
absolute error = 8.76615893881e-13
relative error = 2.5377776197756215770532993054257e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.873
y[1] (analytic) = 34611814.41688405469655017845866
y[1] (numeric) = 34611814.416884054695671807578335
absolute error = 8.78370880325e-13
relative error = 2.5377776205124925160694873663635e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.874
y[1] (analytic) = 34681107.315518826231847691685202
y[1] (numeric) = 34681107.315518826230967562304947
absolute error = 8.80129380255e-13
relative error = 2.5377776212501920341149685223218e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.875
y[1] (analytic) = 34750538.93862910132503635470064
y[1] (numeric) = 34750538.938629101324154463299936
absolute error = 8.81891400704e-13
relative error = 2.5377776219858256960699890420112e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1049.0MB, alloc=4.6MB, time=51.80
x[1] = 7.876
y[1] (analytic) = 34820109.563941464992726364026963
y[1] (numeric) = 34820109.563941464991842707078243
absolute error = 8.83656948720e-13
relative error = 2.5377776227191583351447703831046e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.877
y[1] (analytic) = 34889819.469738511245218508354482
y[1] (numeric) = 34889819.469738511244333082323116
absolute error = 8.85426031366e-13
relative error = 2.5377776234525067982723193262704e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.878
y[1] (analytic) = 34959668.934859956217251253253139
y[1] (numeric) = 34959668.934859956216364054597421
absolute error = 8.87198655718e-13
relative error = 2.5377776241849127790736609443606e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.879
y[1] (analytic) = 35029658.238703753527237066464116
y[1] (numeric) = 35029658.238703753526348091635251
absolute error = 8.88974828865e-13
relative error = 2.5377776249120946403771993421647e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.88
y[1] (analytic) = 35099787.661227211869449422204209
y[1] (numeric) = 35099787.661227211868558667646295
absolute error = 8.90754557914e-13
relative error = 2.5377776256406449490125100140121e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.881
y[1] (analytic) = 35170057.48294811484363085472108
y[1] (numeric) = 35170057.482948114842738316871097
absolute error = 8.92537849983e-13
relative error = 2.5377776263679379152914141059283e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.882
y[1] (analytic) = 35240467.984945843026501381024733
y[1] (numeric) = 35240467.984945843025607056312528
absolute error = 8.94324712205e-13
relative error = 2.5377776270934910047760505170459e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.883
y[1] (analytic) = 35311019.44886249828965558032499
y[1] (numeric) = 35311019.448862498288759465173262
absolute error = 8.96115151728e-13
relative error = 2.5377776278188628278790110259133e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.884
y[1] (analytic) = 35381712.156904030368345603262368
y[1] (numeric) = 35381712.156904030367447694086655
absolute error = 8.97909175713e-13
relative error = 2.5377776285418993264982129832253e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.885
y[1] (analytic) = 35452546.391841365685656387566502
y[1] (numeric) = 35452546.391841365684756680775166
absolute error = 8.99706791336e-13
relative error = 2.5377776292623313412622242258832e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.886
y[1] (analytic) = 35523522.437011538436588378348064
y[1] (numeric) = 35523522.437011538435686870342276
absolute error = 9.01508005788e-13
relative error = 2.5377776299816750634058483458670e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.887
y[1] (analytic) = 35594640.576318823936572090863172
y[1] (numeric) = 35594640.576318823935668778036898
absolute error = 9.03312826274e-13
relative error = 2.5377776307003239943499613460561e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.888
y[1] (analytic) = 35665901.094235874238947911319678
y[1] (numeric) = 35665901.094235874238042790059664
absolute error = 9.05121260014e-13
relative error = 2.5377776314202830955837368790589e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.889
y[1] (analytic) = 35737304.275804856025953607158688
y[1] (numeric) = 35737304.27580485602504667384445
absolute error = 9.06933314238e-13
relative error = 2.5377776321310808880323423062762e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.89
y[1] (analytic) = 35808850.406638590777771112278558
y[1] (numeric) = 35808850.406638590776862363282358
absolute error = 9.08748996200e-13
relative error = 2.5377776328489096877160687744302e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.891
y[1] (analytic) = 35880539.772921697224193264908698
y[1] (numeric) = 35880539.77292169722328269659554
absolute error = 9.10568313158e-13
relative error = 2.5377776335605383266620356801951e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.892
y[1] (analytic) = 35952372.661411736083480306323453
y[1] (numeric) = 35952372.661411736082567915051062
absolute error = 9.12391272391e-13
relative error = 2.5377776342708094231756500239400e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.893
y[1] (analytic) = 36024349.359440357092985097348334
y[1] (numeric) = 36024349.359440357092070879467142
absolute error = 9.14217881192e-13
relative error = 2.5377776349829472465730956676631e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.894
y[1] (analytic) = 36096470.154914448336135176688858
y[1] (numeric) = 36096470.154914448335219128541993
absolute error = 9.16048146865e-13
relative error = 2.5377776356901818257373657168281e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.895
y[1] (analytic) = 36168735.336317287870368970542668
y[1] (numeric) = 36168735.336317287869451088465935
absolute error = 9.17882076733e-13
relative error = 2.5377776363978864095906998498690e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.896
y[1] (analytic) = 36241145.192709697660632666775262
y[1] (numeric) = 36241145.192709697659712947097132
absolute error = 9.19719678130e-13
relative error = 2.5377776371013012647446284294961e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.897
y[1] (analytic) = 36313700.013731199823053489185424
y[1] (numeric) = 36313700.013731199822131928227016
absolute error = 9.21560958408e-13
relative error = 2.5377776378048303573809667323779e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.898
y[1] (analytic) = 36386400.089601175183414348095098
y[1] (numeric) = 36386400.089601175182490942170165
absolute error = 9.23405924933e-13
relative error = 2.5377776385108760755456825125302e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.899
y[1] (analytic) = 36459245.711120024155064102707053
y[1] (numeric) = 36459245.711120024154138848121971
absolute error = 9.25254585082e-13
relative error = 2.5377776392115498799742313857888e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.9
y[1] (analytic) = 36532237.169670329940906948419244
y[1] (numeric) = 36532237.169670329939979841472993
absolute error = 9.27106946251e-13
relative error = 2.5377776399105926779056424828267e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.901
y[1] (analytic) = 36605374.757218024064123738604326
y[1] (numeric) = 36605374.757218024063194775588476
absolute error = 9.28963015850e-13
relative error = 2.5377776406095189592529803963094e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.902
y[1] (analytic) = 36678658.766313554232287365293672
y[1] (numeric) = 36678658.76631355423135654249237
absolute error = 9.30822801302e-13
relative error = 2.5377776413048317045968131407275e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.903
y[1] (analytic) = 36752089.490093054539543656784562
y[1] (numeric) = 36752089.490093054538610970474514
absolute error = 9.32686310048e-13
relative error = 2.5377776420015962545496989208187e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.904
y[1] (analytic) = 36825667.222279518011538602454396
y[1] (numeric) = 36825667.222279518010604048904856
absolute error = 9.34553549540e-13
relative error = 2.5377776426942656262399811495256e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=1052.9MB, alloc=4.6MB, time=51.99
TOP MAIN SOLVE Loop
x[1] = 7.905
y[1] (analytic) = 36899392.257183971497782086054244
y[1] (numeric) = 36899392.257183971496845661526995
absolute error = 9.36424527249e-13
relative error = 2.5377776433883860984780648592942e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.906
y[1] (analytic) = 36973264.889706652916147698503163
y[1] (numeric) = 36973264.889706652915209399252506
absolute error = 9.38299250657e-13
relative error = 2.5377776440787685512767295856040e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.907
y[1] (analytic) = 37047285.415338190854217609752214
y[1] (numeric) = 37047285.41533819085327743202495
absolute error = 9.40177727264e-13
relative error = 2.5377776447684094591981974452667e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.908
y[1] (analytic) = 37121454.130160786532190906670456
y[1] (numeric) = 37121454.130160786531248846705872
absolute error = 9.42059964584e-13
relative error = 2.5377776454575530803139708742428e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.909
y[1] (analytic) = 37195771.330849398132083250162224
y[1] (numeric) = 37195771.330849398131139304192079
absolute error = 9.43945970145e-13
relative error = 2.5377776461436380275683065517698e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.91
y[1] (analytic) = 37270237.314672927497955169893425
y[1] (numeric) = 37270237.314672927497009334141933
absolute error = 9.45835751492e-13
relative error = 2.5377776468292938017366069012646e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.911
y[1] (analytic) = 37344852.379495409211915799122295
y[1] (numeric) = 37344852.379495409210968069806111
absolute error = 9.47729316184e-13
relative error = 2.5377776475141749970720234216195e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.912
y[1] (analytic) = 37419616.823777202050658355234998
y[1] (numeric) = 37419616.823777202049708728563202
absolute error = 9.49626671796e-13
relative error = 2.5377776482002549021051963613692e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.913
y[1] (analytic) = 37494530.946576182827293193716585
y[1] (numeric) = 37494530.94657618282634166589067
absolute error = 9.51527825915e-13
relative error = 2.5377776488810533231847364699866e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.914
y[1] (analytic) = 37569595.04754894262325380448134
y[1] (numeric) = 37569595.047548942622300371695193
absolute error = 9.53432786147e-13
relative error = 2.5377776495602722401048697686225e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.915
y[1] (analytic) = 37644809.42695198541506067978145
y[1] (numeric) = 37644809.426951985414105338221337
absolute error = 9.55341560113e-13
relative error = 2.5377776502409879058661917659415e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.916
y[1] (analytic) = 37720174.385642929100737562347653
y[1] (numeric) = 37720174.385642929099780308192206
absolute error = 9.57254155447e-13
relative error = 2.5377776509202739439302818816870e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.917
y[1] (analytic) = 37795690.22508170893068418102823
y[1] (numeric) = 37795690.22508170892972501044843
absolute error = 9.59170579800e-13
relative error = 2.5377776515997636051048878868433e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.918
y[1] (analytic) = 37871357.247331783347819199021842
y[1] (numeric) = 37871357.247331783346858108181006
absolute error = 9.61090840836e-13
relative error = 2.5377776522749614576153684200411e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.919
y[1] (analytic) = 37947175.755061342241816736883812
y[1] (numeric) = 37947175.755061342240853721937575
absolute error = 9.63014946237e-13
relative error = 2.5377776529483999547659018735671e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.92
y[1] (analytic) = 38023146.051544517622269488862932
y[1] (numeric) = 38023146.051544517621304545959233
absolute error = 9.64942903699e-13
relative error = 2.5377776536189686937434202124576e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.921
y[1] (analytic) = 38099268.440662596715621126835502
y[1] (numeric) = 38099268.440662596714654252114566
absolute error = 9.66874720936e-13
relative error = 2.5377776542923687922992882795898e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.922
y[1] (analytic) = 38175543.226905237490720381183673
y[1] (numeric) = 38175543.226905237489751570778
absolute error = 9.68810405673e-13
relative error = 2.5377776549626277353032413808908e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.923
y[1] (analytic) = 38251970.71537168661785890245513
y[1] (numeric) = 38251970.715371686616888152489477
absolute error = 9.70749965653e-13
relative error = 2.5377776556304346738361458895320e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.924
y[1] (analytic) = 38328551.211771999866164741579494
y[1] (numeric) = 38328551.211771999865192048170858
absolute error = 9.72693408636e-13
relative error = 2.5377776563003842881928708175158e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.925
y[1] (analytic) = 38405285.02242826494423303984256
y[1] (numeric) = 38405285.022428264943258399100167
absolute error = 9.74640742393e-13
relative error = 2.5377776569652340905692739817996e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.926
y[1] (analytic) = 38482172.454275826788885292771608
y[1] (numeric) = 38482172.454275826787908700796892
absolute error = 9.76591974716e-13
relative error = 2.5377776576319277501512998512009e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.927
y[1] (analytic) = 38559213.814864515306958344602524
y[1] (numeric) = 38559213.814864515305979797489115
absolute error = 9.78547113409e-13
relative error = 2.5377776582980321334397123501924e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.928
y[1] (analytic) = 38636409.412359875575034082121732
y[1] (numeric) = 38636409.412359875574053575955441
absolute error = 9.80506166291e-13
relative error = 2.5377776589595145944943611349804e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.929
y[1] (analytic) = 38713759.555544400502030628441966
y[1] (numeric) = 38713759.555544400501048159300766
absolute error = 9.82469141200e-13
relative error = 2.5377776596210104908283224621395e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.93
y[1] (analytic) = 38791264.553818765959585688720193
y[1] (numeric) = 38791264.553818765958601252674207
absolute error = 9.84436045986e-13
relative error = 2.5377776602776106472129650184499e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.931
y[1] (analytic) = 38868924.717203068385172570997944
y[1] (numeric) = 38868924.717203068384186164109425
absolute error = 9.86406888519e-13
relative error = 2.5377776609354577116089869883230e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.932
y[1] (analytic) = 38946740.356338064862899296278235
y[1] (numeric) = 38946740.356338064861910914601554
absolute error = 9.88381676681e-13
relative error = 2.5377776615910142675963189163159e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1056.7MB, alloc=4.6MB, time=52.17
x[1] = 7.933
y[1] (analytic) = 39024711.782486415686951122688995
y[1] (numeric) = 39024711.782486415685960762270623
absolute error = 9.90360418372e-13
relative error = 2.5377776622464533628029339528071e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.934
y[1] (analytic) = 39102839.307533929412646739159822
y[1] (numeric) = 39102839.307533929411654396038316
absolute error = 9.92343121506e-13
relative error = 2.5377776628992913622700827102936e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.935
y[1] (analytic) = 39181123.243990810400088334496928
y[1] (numeric) = 39181123.243990810399094004702914
absolute error = 9.94329794014e-13
relative error = 2.5377776635500103265337817445260e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.936
y[1] (analytic) = 39259563.904992908855395718119932
y[1] (numeric) = 39259563.904992908854399397676087
absolute error = 9.96320443845e-13
relative error = 2.5377776642044948295354833686455e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.937
y[1] (analytic) = 39338161.604302973374524659063703
y[1] (numeric) = 39338161.604302973373526343984745
absolute error = 9.98315078958e-13
relative error = 2.5377776648535606777738125093501e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.938
y[1] (analytic) = 39416916.656311905994679620188685
y[1] (numeric) = 39416916.656311905993679306481351
absolute error = 1.000313707334e-12
relative error = 2.5377776655034681902229561420166e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.939
y[1] (analytic) = 39495829.376040019758341094924018
y[1] (numeric) = 39495829.376040019757338778587051
absolute error = 1.002316336967e-12
relative error = 2.5377776661529002537859538949573e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.94
y[1] (analytic) = 39574900.079138298794937804329571
y[1] (numeric) = 39574900.079138298793933481353705
absolute error = 1.004322975866e-12
relative error = 2.5377776667980106767122322213861e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.941
y[1] (analytic) = 39654129.081889660925204082845786
y[1] (numeric) = 39654129.081889660924197749213728
absolute error = 1.006333632058e-12
relative error = 2.5377776674399341190872825701268e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.942
y[1] (analytic) = 39733516.701210222793272871844337
y[1] (numeric) = 39733516.701210222792264523530749
absolute error = 1.008348313588e-12
relative error = 2.5377776680846556836944934442520e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.943
y[1] (analytic) = 39813063.254650567531564851038422
y[1] (numeric) = 39813063.25465056753055448400991
absolute error = 1.010367028512e-12
relative error = 2.5377776687252994423004058072302e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.944
y[1] (analytic) = 39892769.060397014963544368999454
y[1] (numeric) = 39892769.060397014962531979214547
absolute error = 1.012389784907e-12
relative error = 2.5377776693672430742793979984187e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.945
y[1] (analytic) = 39972634.437272894349422985497448
y[1] (numeric) = 39972634.437272894348408568906585
absolute error = 1.014416590863e-12
relative error = 2.5377776700079012311350354298018e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.946
y[1] (analytic) = 40052659.704739819679901610176288
y[1] (numeric) = 40052659.7047398196788851627218
absolute error = 1.016447454488e-12
relative error = 2.5377776706492076343544800540653e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.947
y[1] (analytic) = 40132845.182898967523052414232811
y[1] (numeric) = 40132845.182898967522033931848908
absolute error = 1.018482383903e-12
relative error = 2.5377776712850306057024265760846e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.948
y[1] (analytic) = 40213191.19249235742945190433116
y[1] (numeric) = 40213191.192492357428431382943911
absolute error = 1.020521387249e-12
relative error = 2.5377776719185799828858737678078e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.949
y[1] (analytic) = 40293698.054904134900686780991898
y[1] (numeric) = 40293698.054904134899664216519214
absolute error = 1.022564472684e-12
relative error = 2.5377776725547879054958172299945e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.95
y[1] (analytic) = 40374366.092161856926364457189943
y[1] (numeric) = 40374366.092161856925339845541565
absolute error = 1.024611648378e-12
relative error = 2.5377776731878265821620933661325e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.951
y[1] (analytic) = 40455195.62693778009477038691746
y[1] (numeric) = 40455195.626937780093743723994939
absolute error = 1.026662922521e-12
relative error = 2.5377776738209097447348493808290e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.952
y[1] (analytic) = 40536186.98255015128232464805849
y[1] (numeric) = 40536186.982550151281295929755173
absolute error = 1.028718303317e-12
relative error = 2.5377776744513201623593631510942e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.953
y[1] (analytic) = 40617340.482964500927000539122576
y[1] (numeric) = 40617340.482964500925969761323588
absolute error = 1.030777798988e-12
relative error = 2.5377776750802359704301192960097e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.954
y[1] (analytic) = 40698656.452794938890878285236135
y[1] (numeric) = 40698656.452794938889845443818363
absolute error = 1.032841417772e-12
relative error = 2.5377776757076968932167748995962e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.955
y[1] (analytic) = 40780135.217305452917017305334217
y[1] (numeric) = 40780135.217305452915982396166293
absolute error = 1.034909167924e-12
relative error = 2.5377776763349869401199852151811e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.956
y[1] (analytic) = 40861777.102411209685840869772996
y[1] (numeric) = 40861777.102411209684803888715281
absolute error = 1.036981057715e-12
relative error = 2.5377776769620938949519710752734e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.957
y[1] (analytic) = 40943582.434679858476237375636366
y[1] (numeric) = 40943582.434679858475198318540934
absolute error = 1.039057095432e-12
relative error = 2.5377776775876414101250268764722e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.958
y[1] (analytic) = 41025551.541332837436592885879957
y[1] (numeric) = 41025551.541332837435551748590578
absolute error = 1.041137289379e-12
relative error = 2.5377776782112593361793048910258e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.959
y[1] (analytic) = 41107684.750246682470980018184426
y[1] (numeric) = 41107684.750246682469936796536549
absolute error = 1.043221647877e-12
relative error = 2.5377776788334929208434055380429e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.96
y[1] (analytic) = 41189982.389954338745738730018752
y[1] (numeric) = 41189982.389954338744693419839489
absolute error = 1.045310179263e-12
relative error = 2.5377776794532851003697671684978e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.961
y[1] (analytic) = 41272444.789646474821695027985366
y[1] (numeric) = 41272444.789646474820647625093474
absolute error = 1.047402891892e-12
relative error = 2.5377776800727575291971479024721e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1060.5MB, alloc=4.6MB, time=52.36
x[1] = 7.962
y[1] (analytic) = 41355072.279172799417274132074108
y[1] (numeric) = 41355072.279172799416224632279973
absolute error = 1.049499794135e-12
relative error = 2.5377776806922618967381802536493e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.963
y[1] (analytic) = 41437865.189043380807775149033376
y[1] (numeric) = 41437865.189043380806723548138997
absolute error = 1.051600894379e-12
relative error = 2.5377776813103167208682482430630e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.964
y[1] (analytic) = 41520823.850429968866084853716342
y[1] (numeric) = 41520823.850429968865031147515314
absolute error = 1.053706201028e-12
relative error = 2.5377776819259532733892718582825e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.965
y[1] (analytic) = 41603948.595167319750118743020091
y[1] (numeric) = 41603948.595167319749062927297588
absolute error = 1.055815722503e-12
relative error = 2.5377776825386297127814897427471e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.966
y[1] (analytic) = 41687239.755754523242288113948147
y[1] (numeric) = 41687239.755754523241230184480903
absolute error = 1.057929467244e-12
relative error = 2.5377776831529436855683471960474e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.967
y[1] (analytic) = 41770697.665356332746302525434477
y[1] (numeric) = 41770697.665356332745242477990773
absolute error = 1.060047443704e-12
relative error = 2.5377776837641360642195791173298e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.968
y[1] (analytic) = 41854322.657804497946627632912167
y[1] (numeric) = 41854322.657804497945565463251811
absolute error = 1.062169660356e-12
relative error = 2.5377776843748281104556168207245e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.969
y[1] (analytic) = 41938115.067599100135929035234966
y[1] (numeric) = 41938115.067599100134864739109277
absolute error = 1.064296125689e-12
relative error = 2.5377776849853292678974855194515e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.97
y[1] (analytic) = 42022075.229909890215843445507542
y[1] (numeric) = 42022075.229909890214777018659333
absolute error = 1.066426848209e-12
relative error = 2.5377776855959590503899626729321e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.971
y[1] (analytic) = 42106203.480577629376429190693118
y[1] (numeric) = 42106203.480577629375360628856681
absolute error = 1.068561836437e-12
relative error = 2.5377776862022162311937580429998e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.972
y[1] (analytic) = 42190500.156115432459658759588076
y[1] (numeric) = 42190500.156115432458588058489162
absolute error = 1.070701098914e-12
relative error = 2.5377776868065971945749786063479e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.973
y[1] (analytic) = 42274965.59371011401232685492486
y[1] (numeric) = 42274965.593710114011254010280661
absolute error = 1.072844644199e-12
relative error = 2.5377776874137144730377517205517e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.974
y[1] (analytic) = 42359600.131223537033758163030119
y[1] (numeric) = 42359600.131223537032683170549256
absolute error = 1.074992480863e-12
relative error = 2.5377776880160302640530902823838e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.975
y[1] (analytic) = 42444404.107193964423709833667526
y[1] (numeric) = 42444404.107193964422632689050026
absolute error = 1.077144617500e-12
relative error = 2.5377776886198130790292917009636e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.976
y[1] (analytic) = 42529377.860837413135874463477088
y[1] (numeric) = 42529377.860837413134795162414371
absolute error = 1.079301062717e-12
relative error = 2.5377776892214061564247122203082e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.977
y[1] (analytic) = 42614521.732049011042400198828445
y[1] (numeric) = 42614521.732049011041318737003305
absolute error = 1.081461825140e-12
relative error = 2.5377776898213252689343097752175e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.978
y[1] (analytic) = 42699836.061404356514855417977711
y[1] (numeric) = 42699836.061404356513771791064298
absolute error = 1.083626913413e-12
relative error = 2.5377776904217944523696472686978e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.979
y[1] (analytic) = 42785321.19016088072707631819936
y[1] (numeric) = 42785321.190160880725990521863165
absolute error = 1.085796336195e-12
relative error = 2.5377776910196363651491545786978e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.98
y[1] (analytic) = 42870977.46025921268534662109992
y[1] (numeric) = 42870977.460259212684258650997755
absolute error = 1.087970102165e-12
relative error = 2.5377776916179082572693683740359e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.981
y[1] (analytic) = 42956805.214324546991369518652316
y[1] (numeric) = 42956805.2143245469902793704323
absolute error = 1.090148220016e-12
relative error = 2.5377776922117914903565245089360e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.982
y[1] (analytic) = 43042804.795668014343502913662362
y[1] (numeric) = 43042804.795668014342410582963899
absolute error = 1.092330698463e-12
relative error = 2.5377776928071754414252054737192e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.983
y[1] (analytic) = 43128976.548288054781739961435658
y[1] (numeric) = 43128976.548288054780645443889424
absolute error = 1.094517546234e-12
relative error = 2.5377776933996022770733343392854e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.984
y[1] (analytic) = 43215320.816871793681927894398098
y[1] (numeric) = 43215320.816871793680831185626019
absolute error = 1.096708772079e-12
relative error = 2.5377776939951152309001411716133e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.985
y[1] (analytic) = 43301837.9467964205047291083799
y[1] (numeric) = 43301837.946796420503630203995141
absolute error = 1.098904384759e-12
relative error = 2.5377776945846699928802279405711e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.986
y[1] (analytic) = 43388528.284130570304839508245881
y[1] (numeric) = 43388528.284130570303738403852823
absolute error = 1.101104393058e-12
relative error = 2.5377776951718614690942695311455e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.987
y[1] (analytic) = 43475392.175635708005990151587336
y[1] (numeric) = 43475392.175635708004886842781558
absolute error = 1.103308805778e-12
relative error = 2.5377776957612163138901312419722e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.988
y[1] (analytic) = 43562429.968767515447269292327808
y[1] (numeric) = 43562429.968767515446163774696073
absolute error = 1.105517631735e-12
relative error = 2.5377776963489204504772157660729e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.989
y[1] (analytic) = 43649642.011677281206313011380334
y[1] (numeric) = 43649642.01167728120520528050057
absolute error = 1.107730879764e-12
relative error = 2.5377776969342762580684867640964e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.99
y[1] (analytic) = 43737028.653213293204923728971759
y[1] (numeric) = 43737028.653213293203813780413041
absolute error = 1.109948558718e-12
relative error = 2.5377776975173043944072469434654e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=1064.3MB, alloc=4.6MB, time=52.54
TOP MAIN SOLVE Loop
x[1] = 7.991
y[1] (analytic) = 43824590.242922234102687022965003
y[1] (numeric) = 43824590.242922234101574852287534
absolute error = 1.112170677469e-12
relative error = 2.5377776981009376681298291073160e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.992
y[1] (analytic) = 43912327.131050579484168329507053
y[1] (numeric) = 43912327.131050579483053932262149
absolute error = 1.114397244904e-12
relative error = 2.5377776986818020822661188354832e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.993
y[1] (analytic) = 44000239.66854599884528227665376
y[1] (numeric) = 44000239.668545998844165648383829
absolute error = 1.116628269931e-12
relative error = 2.5377776992638352077673240465985e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.994
y[1] (analytic) = 44088328.20705875938443859831673
y[1] (numeric) = 44088328.207058759383319734555258
absolute error = 1.118863761472e-12
relative error = 2.5377776998422552535257955274899e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.995
y[1] (analytic) = 44176593.098943132604079794987713
y[1] (numeric) = 44176593.098943132602958691259242
absolute error = 1.121103728471e-12
relative error = 2.5377777004216763494527834751697e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.996
y[1] (analytic) = 44265034.697258803728236949266577
y[1] (numeric) = 44265034.69725880372711360108669
absolute error = 1.123348179887e-12
relative error = 2.5377777010001202319749889563840e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.997
y[1] (analytic) = 44353653.355772283941741368295374
y[1] (numeric) = 44353653.355772283940615771170676
absolute error = 1.125597124698e-12
relative error = 2.5377777015780195370416286021475e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.998
y[1] (analytic) = 44442449.428958325456741011828034
y[1] (numeric) = 44442449.428958325455613161256136
absolute error = 1.127850571898e-12
relative error = 2.5377777021513626871393925609714e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 7.999
y[1] (analytic) = 44531423.272001339412181973888182
y[1] (numeric) = 44531423.272001339411051865357678
absolute error = 1.130108530504e-12
relative error = 2.5377777027273767049344765268522e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8
y[1] (analytic) = 44620575.240796816611926617831498
y[1] (numeric) = 44620575.240796816610794246821952
absolute error = 1.132371009546e-12
relative error = 2.5377777033019231100489068469797e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.001
y[1] (analytic) = 44709905.69195275110719131917952
y[1] (numeric) = 44709905.691952751106056681161446
absolute error = 1.134638018074e-12
relative error = 2.5377777038751868541226682496424e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.002
y[1] (analytic) = 44799414.982791066628998147873942
y[1] (numeric) = 44799414.982791066627861238308787
absolute error = 1.136909565155e-12
relative error = 2.5377777044448559747087223638226e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.003
y[1] (analytic) = 44889103.47134904587634622166006
y[1] (numeric) = 44889103.471349045875207036000184
absolute error = 1.139185659876e-12
relative error = 2.5377777050127488645958732266680e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.004
y[1] (analytic) = 44978971.516380762665819885190495
y[1] (numeric) = 44978971.516380762664678418879152
absolute error = 1.141466311343e-12
relative error = 2.5377777055824690368085593679205e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.005
y[1] (analytic) = 45069019.477358516948362315191432
y[1] (numeric) = 45069019.477358516947218563662755
absolute error = 1.143751528677e-12
relative error = 2.5377777061504311386811720493171e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.006
y[1] (analytic) = 45159247.714474272698954620699174
y[1] (numeric) = 45159247.714474272697808579378155
absolute error = 1.146041321019e-12
relative error = 2.5377777067169237503407649595802e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.007
y[1] (analytic) = 45249656.588641098684951999000576
y[1] (numeric) = 45249656.588641098683803663303048
absolute error = 1.148335697528e-12
relative error = 2.5377777072815701000599444891942e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.008
y[1] (analytic) = 45340246.461494612118840022543023
y[1] (numeric) = 45340246.461494612117689387875641
absolute error = 1.150634667382e-12
relative error = 2.5377777078454594417952822518302e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.009
y[1] (analytic) = 45431017.695394425201185669763956
y[1] (numeric) = 45431017.695394425200032731524179
absolute error = 1.152938239777e-12
relative error = 2.5377777084088504814374999919444e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.01
y[1] (analytic) = 45521970.653425594559569273572808
y[1] (numeric) = 45521970.653425594558414027148881
absolute error = 1.155246423927e-12
relative error = 2.5377777089710988266882604430410e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.011
y[1] (analytic) = 45613105.699400073589295145145721
y[1] (numeric) = 45613105.699400073588137585916657
absolute error = 1.157559229064e-12
relative error = 2.5377777095305851947819784544675e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.012
y[1] (analytic) = 45704423.197858167701690237811998
y[1] (numeric) = 45704423.197858167700530361147557
absolute error = 1.159876664441e-12
relative error = 2.5377777100912082895601215686399e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.013
y[1] (analytic) = 45795923.514069992485811846167264
y[1] (numeric) = 45795923.514069992484649647427939
absolute error = 1.162198739325e-12
relative error = 2.5377777106469637342401541627044e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.014
y[1] (analytic) = 45887607.014036934789396989188379
y[1] (numeric) = 45887607.014036934788232463725371
absolute error = 1.164525463008e-12
relative error = 2.5377777112059336578134737856684e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.015
y[1] (analytic) = 45979474.064493116724897803095698
y[1] (numeric) = 45979474.064493116723730946250904
absolute error = 1.166856844794e-12
relative error = 2.5377777117617919207493043806004e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.016
y[1] (analytic) = 46071525.032906862606458970056305
y[1] (numeric) = 46071525.032906862605289777162296
absolute error = 1.169192894009e-12
relative error = 2.5377777123155723083856612941331e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.017
y[1] (analytic) = 46163760.28748216882370493259382
y[1] (numeric) = 46163760.287482168822533398973822
absolute error = 1.171533619998e-12
relative error = 2.5377777128690158494878624194822e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.018
y[1] (analytic) = 46256180.197160176658216390813478
y[1] (numeric) = 46256180.197160176657042511781354
absolute error = 1.173879032124e-12
relative error = 2.5377777134223210326138201569096e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1068.1MB, alloc=4.6MB, time=52.73
x[1] = 8.019
y[1] (analytic) = 46348785.13162064804858735031223
y[1] (numeric) = 46348785.131620648047411121172462
absolute error = 1.176229139768e-12
relative error = 2.5377777139740783427973194661914e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.02
y[1] (analytic) = 46441575.461283444309965782969736
y[1] (numeric) = 46441575.461283444308787199017406
absolute error = 1.178583952330e-12
relative error = 2.5377777145233587567086602461801e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.021
y[1] (analytic) = 46534551.557310007813992780754528
y[1] (numeric) = 46534551.557310007812811837275297
absolute error = 1.180943479231e-12
relative error = 2.5377777150739260766043173705548e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.022
y[1] (analytic) = 46627713.79160484663506692427752
y[1] (numeric) = 46627713.791604846633883616547613
absolute error = 1.183307729907e-12
relative error = 2.5377777156212413984738372236417e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.023
y[1] (analytic) = 46721062.536817022168872453129884
y[1] (numeric) = 46721062.536817022167686776416067
absolute error = 1.185676713817e-12
relative error = 2.5377777161695880003609458674417e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.024
y[1] (analytic) = 46814598.166341639729121714101448
y[1] (numeric) = 46814598.166341639727933663661012
absolute error = 1.188050440436e-12
relative error = 2.5377777167169499849870760739012e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.025
y[1] (analytic) = 46908321.054321342128474276236883
y[1] (numeric) = 46908321.054321342127283847317625
absolute error = 1.190428919258e-12
relative error = 2.5377777172613896876553222168484e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.026
y[1] (analytic) = 47002231.57564780624960703839758
y[1] (numeric) = 47002231.575647806248414226237781
absolute error = 1.192812159799e-12
relative error = 2.5377777178073488468040022484759e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.027
y[1] (analytic) = 47096330.105963242612421615605065
y[1] (numeric) = 47096330.105963242611226415433475
absolute error = 1.195200171590e-12
relative error = 2.5377777183506409933430748690701e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.028
y[1] (analytic) = 47190617.021661897943387274994938
y[1] (numeric) = 47190617.021661897942189682030754
absolute error = 1.197592964184e-12
relative error = 2.5377777188932901227023878200468e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.029
y[1] (analytic) = 47285092.699891560753029700756488
y[1] (numeric) = 47285092.699891560751829710209336
absolute error = 1.199990547152e-12
relative error = 2.5377777194349286895840964908277e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.03
y[1] (analytic) = 47379757.518555069927587900020494
y[1] (numeric) = 47379757.51855506992638550709041
absolute error = 1.202392930084e-12
relative error = 2.5377777199748512209078328723200e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.031
y[1] (analytic) = 47474611.856311826340873618334282
y[1] (numeric) = 47474611.856311826339668818211693
absolute error = 1.204800122589e-12
relative error = 2.5377777205119369024686517627549e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.032
y[1] (analytic) = 47569656.092579307492379714177196
y[1] (numeric) = 47569656.092579307491172502042898
absolute error = 1.207212134298e-12
relative error = 2.5377777210508794937579535111856e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.033
y[1] (analytic) = 47664890.607534585177696046969473
y[1] (numeric) = 47664890.607534585176486417994616
absolute error = 1.209628974857e-12
relative error = 2.5377777215873626193666457760692e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.034
y[1] (analytic) = 47760315.782115846197303562261672
y[1] (numeric) = 47760315.782115846196091511607738
absolute error = 1.212050653934e-12
relative error = 2.5377777221227253086860753445251e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.035
y[1] (analytic) = 47855931.998023916109829411308574
y[1] (numeric) = 47855931.998023916108614934127357
absolute error = 1.214477181217e-12
relative error = 2.5377777226596456563541909478530e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.036
y[1] (analytic) = 47951739.63772378603585812007972
y[1] (numeric) = 47951739.637723786034641211513311
absolute error = 1.216908566409e-12
relative error = 2.5377777231916194373843357502890e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.037
y[1] (analytic) = 48047739.084446142518406024987013
y[1] (numeric) = 48047739.084446142517186680167774
absolute error = 1.219344819239e-12
relative error = 2.5377777237258648250276581767062e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.038
y[1] (analytic) = 48143930.722188900446178419266906
y[1] (numeric) = 48143930.722188900444956633317457
absolute error = 1.221785949449e-12
relative error = 2.5377777242561023942723504320011e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.039
y[1] (analytic) = 48240314.9357187390457411050897
y[1] (numeric) = 48240314.935718739044516873122895
absolute error = 1.224231966805e-12
relative error = 2.5377777247854113757515148902602e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.04
y[1] (analytic) = 48336892.110572640948750322130124
y[1] (numeric) = 48336892.110572640947523639249032
absolute error = 1.226682881092e-12
relative error = 2.5377777253157115432851890186185e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.041
y[1] (analytic) = 48433662.633059434340397323571004
y[1] (numeric) = 48433662.633059434339168184868893
absolute error = 1.229138702111e-12
relative error = 2.5377777258414998311942672734204e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.042
y[1] (analytic) = 48530626.890261338195236195374542
y[1] (numeric) = 48530626.890261338194004595934853
absolute error = 1.231599439689e-12
relative error = 2.5377777263704491526521826793679e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.043
y[1] (analytic) = 48627785.270035510606575864192762
y[1] (numeric) = 48627785.270035510605341799089096
absolute error = 1.234065103666e-12
relative error = 2.5377777268964625000196557130857e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.044
y[1] (analytic) = 48725138.161015600215629613549638
y[1] (numeric) = 48725138.161015600214393077845733
absolute error = 1.236535703905e-12
relative error = 2.5377777274202526836470228437825e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.045
y[1] (analytic) = 48822685.952613300746627826961503
y[1] (numeric) = 48822685.952613300745388815711213
absolute error = 1.239011250290e-12
relative error = 2.5377777279450972846115117707730e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.046
y[1] (analytic) = 48920429.035019908654112100519439
y[1] (numeric) = 48920429.035019908652870608766718
absolute error = 1.241491752721e-12
relative error = 2.5377777284665115214885516400081e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.047
y[1] (analytic) = 49018367.799207883888641316186976
y[1] (numeric) = 49018367.799207883887397338965854
absolute error = 1.243977221122e-12
relative error = 2.5377777289885652746311780312124e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=1071.9MB, alloc=4.6MB, time=52.91
TOP MAIN SOLVE Loop
x[1] = 8.048
y[1] (analytic) = 49116502.636932413787152740718388
y[1] (numeric) = 49116502.636932413785906273052954
absolute error = 1.246467665434e-12
relative error = 2.5377777295094651709573362371209e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.049
y[1] (analytic) = 49214833.940732980094233713727192
y[1] (numeric) = 49214833.940732980092984750631572
absolute error = 1.248963095620e-12
relative error = 2.5377777300316917302250507295023e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.05
y[1] (analytic) = 49313362.103934929120572012080945
y[1] (numeric) = 49313362.103934929119320548559286
absolute error = 1.251463521659e-12
relative error = 2.5377777305497088487203511423737e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.051
y[1] (analytic) = 49412087.520651045044865526517364
y[1] (numeric) = 49412087.520651045043611557563809
absolute error = 1.253968953555e-12
relative error = 2.5377777310681771492016895974178e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.052
y[1] (analytic) = 49511010.585783126365484460218186
y[1] (numeric) = 49511010.585783126364227980816858
absolute error = 1.256479401328e-12
relative error = 2.5377777315835937576764278073231e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.053
y[1] (analytic) = 49610131.69502356550819185809152
y[1] (numeric) = 49610131.695023565506932863216499
absolute error = 1.258994875021e-12
relative error = 2.5377777320984028881051556345313e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.054
y[1] (analytic) = 49709451.244856931596240899750939
y[1] (numeric) = 49709451.244856931594979384366242
absolute error = 1.261515384697e-12
relative error = 2.5377777326148206971481040963192e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.055
y[1] (analytic) = 49808969.632561556389180038690846
y[1] (numeric) = 49808969.63256155638791599775041
absolute error = 1.264040940436e-12
relative error = 2.5377777331287336496020035654701e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.056
y[1] (analytic) = 49908687.256211123396709744993266
y[1] (numeric) = 49908687.256211123395443173440925
absolute error = 1.266571552341e-12
relative error = 2.5377777336417028148326820262146e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.057
y[1] (analytic) = 50008604.51467626017394730911184
y[1] (numeric) = 50008604.514676260172678201881304
absolute error = 1.269107230536e-12
relative error = 2.5377777341568272257999903772271e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.058
y[1] (analytic) = 50108721.807626133804468889915295
y[1] (numeric) = 50108721.807626133803197241930137
absolute error = 1.271647985158e-12
relative error = 2.5377777346626823641999273088226e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.059
y[1] (analytic) = 50209039.53553004957751074128593
y[1] (numeric) = 50209039.535530049576236547459554
absolute error = 1.274193826376e-12
relative error = 2.5377777351712261146255030769830e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.06
y[1] (analytic) = 50309558.099659052865724328209525
y[1] (numeric) = 50309558.099659052864447583445153
absolute error = 1.276744764372e-12
relative error = 2.5377777356797186426968159624001e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.061
y[1] (analytic) = 50410277.902087534209892845513045
y[1] (numeric) = 50410277.902087534208613544703696
absolute error = 1.279300809349e-12
relative error = 2.5377777361866577243885007689296e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.062
y[1] (analytic) = 50511199.345694837617029480256285
y[1] (numeric) = 50511199.345694837615747618284753
absolute error = 1.281861971532e-12
relative error = 2.5377777366936654464601152444505e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.063
y[1] (analytic) = 50612322.834166872078290612314915
y[1] (numeric) = 50612322.83416687207700618405375
absolute error = 1.284428261165e-12
relative error = 2.5377777371994488403518326575726e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.064
y[1] (analytic) = 50713648.771997726313150026956425
y[1] (numeric) = 50713648.771997726311863027267911
absolute error = 1.286999688514e-12
relative error = 2.5377777377056637022660645031474e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.065
y[1] (analytic) = 50815177.564491286746293118258795
y[1] (numeric) = 50815177.564491286745003541994935
absolute error = 1.289576263860e-12
relative error = 2.5377777382030289707674300830428e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.066
y[1] (analytic) = 50916909.61776285872370299310604
y[1] (numeric) = 50916909.617762858722410835108523
absolute error = 1.292157997517e-12
relative error = 2.5377777387067068295754210031376e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.067
y[1] (analytic) = 51018845.33874079097442334226661
y[1] (numeric) = 51018845.338740790973128597366803
absolute error = 1.294744899807e-12
relative error = 2.5377777392069765849020084941344e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.068
y[1] (analytic) = 51120985.13516810332449592777215
y[1] (numeric) = 51120985.135168103323198590791071
absolute error = 1.297336981079e-12
relative error = 2.5377777397065685699275318665687e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.069
y[1] (analytic) = 51223329.4156041176695835445168
y[1] (numeric) = 51223329.415604117668283610265095
absolute error = 1.299934251705e-12
relative error = 2.5377777402126504007072992756274e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.07
y[1] (analytic) = 51325878.589426092212802348743525
y[1] (numeric) = 51325878.589426092211499812021458
absolute error = 1.302536722067e-12
relative error = 2.5377777407113733814326726961572e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.071
y[1] (analytic) = 51428633.066830858974300506925805
y[1] (numeric) = 51428633.066830858972995362523228
absolute error = 1.305144402577e-12
relative error = 2.5377777412068902097647322659096e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.072
y[1] (analytic) = 51531593.258836464579133205542575
y[1] (numeric) = 51531593.25883646457782544823891
absolute error = 1.307757303665e-12
relative error = 2.5377777416978082057607380576544e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.073
y[1] (analytic) = 51634759.577283814329997175434215
y[1] (numeric) = 51634759.577283814328686799998428
absolute error = 1.310375435787e-12
relative error = 2.5377777421926571801226893198222e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.074
y[1] (analytic) = 51738132.43483831957140102386975
y[1] (numeric) = 51738132.434838319570088025060336
absolute error = 1.312998809414e-12
relative error = 2.5377777426884486460325171677120e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.075
y[1] (analytic) = 51841712.244991548351860833203105
y[1] (numeric) = 51841712.244991548350545205768068
absolute error = 1.315627435037e-12
relative error = 2.5377777431803544860816695263917e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.076
y[1] (analytic) = 51945499.42206287939072367710168
y[1] (numeric) = 51945499.422062879389405415778507
absolute error = 1.318261323173e-12
relative error = 2.5377777436731952127670838564033e-18 %
memory used=1075.7MB, alloc=4.6MB, time=53.10
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.077
y[1] (analytic) = 52049494.38120115935623492384659
y[1] (numeric) = 52049494.381201159354914023362231
absolute error = 1.320900484359e-12
relative error = 2.5377777441697354778136033695190e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.078
y[1] (analytic) = 52153697.53838636346147844118349
y[1] (numeric) = 52153697.538386363460154896254347
absolute error = 1.323544929143e-12
relative error = 2.5377777446533669278057386106568e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.079
y[1] (analytic) = 52258109.31043125938483208869898
y[1] (numeric) = 52258109.310431259383505894030866
absolute error = 1.326194668114e-12
relative error = 2.5377777451456281844343658520437e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.08
y[1] (analytic) = 52362730.11498307452159418176301
y[1] (numeric) = 52362730.114983074520265332051143
absolute error = 1.328849711867e-12
relative error = 2.5377777456389021801185466573605e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.081
y[1] (analytic) = 52467560.37052516657344993576627
y[1] (numeric) = 52467560.370525166572118425695251
absolute error = 1.331510071019e-12
relative error = 2.5377777461271207940650227525606e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.082
y[1] (analytic) = 52572600.496378697482460250745715
y[1] (numeric) = 52572600.496378697481126074989506
absolute error = 1.334175756209e-12
relative error = 2.5377777466056688777025488887422e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.083
y[1] (analytic) = 52677850.91270431071626857458531
y[1] (numeric) = 52677850.912704310714931727807202
absolute error = 1.336846778108e-12
relative error = 2.5377777470902724881688962524316e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.084
y[1] (analytic) = 52783312.04050381191123498785579
y[1] (numeric) = 52783312.04050381190989546470839
absolute error = 1.339523147400e-12
relative error = 2.5377777475807188347611264347202e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.085
y[1] (analytic) = 52888984.301621852880220085070675
y[1] (numeric) = 52888984.301621852878877880195892
absolute error = 1.342204874783e-12
relative error = 2.5377777480628248300458639386920e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.086
y[1] (analytic) = 52994868.118747618991754685739415
y[1] (numeric) = 52994868.118747618990409793768426
absolute error = 1.344891970989e-12
relative error = 2.5377777485462353605613021732599e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.087
y[1] (analytic) = 53100963.91541651992734489414628
y[1] (numeric) = 53100963.915416519925997309699516
absolute error = 1.347584446764e-12
relative error = 2.5377777490264409072423900804823e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.088
y[1] (analytic) = 53207272.116011883823675539329665
y[1] (numeric) = 53207272.116011883822325257016784
absolute error = 1.350282312881e-12
relative error = 2.5377777495092705101216567847821e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.089
y[1] (analytic) = 53313793.145766654806488566334355
y[1] (numeric) = 53313793.145766654805135580754226
absolute error = 1.352985580129e-12
relative error = 2.5377777499900753026821680208584e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.09
y[1] (analytic) = 53420527.430765093922926516513745
y[1] (numeric) = 53420527.430765093921570822254424
absolute error = 1.355694259321e-12
relative error = 2.5377777504687276664984108865670e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.091
y[1] (analytic) = 53527475.39794448347914482852381
y[1] (numeric) = 53527475.39794448347778642016252
absolute error = 1.358408361290e-12
relative error = 2.5377777509420226475564361897737e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.092
y[1] (analytic) = 53634637.475096834790010312730515
y[1] (numeric) = 53634637.475096834788649184833615
absolute error = 1.361127896900e-12
relative error = 2.5377777514241370347651072674888e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.093
y[1] (analytic) = 53742014.0908705993477168001015
y[1] (numeric) = 53742014.090870599346352947224481
absolute error = 1.363852877019e-12
relative error = 2.5377777518961350178260320851982e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.094
y[1] (analytic) = 53849605.6747723834161626423263
y[1] (numeric) = 53849605.674772383414796059013746
absolute error = 1.366583312554e-12
relative error = 2.5377777523712134462632382762995e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.095
y[1] (analytic) = 53957412.6571686660579484429611
y[1] (numeric) = 53957412.657168666056579123746675
absolute error = 1.369319214425e-12
relative error = 2.5377777528461146248189383020427e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.096
y[1] (analytic) = 54065435.46928752060086712987975
y[1] (numeric) = 54065435.469287520599495069286177
absolute error = 1.372060593573e-12
relative error = 2.5377777533160062489147163291046e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.097
y[1] (analytic) = 54173674.543220339550772237286585
y[1] (numeric) = 54173674.543220339549397429825618
absolute error = 1.374807460967e-12
relative error = 2.5377777537873378660499610808606e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.098
y[1] (analytic) = 54282130.311923562957724051064045
y[1] (numeric) = 54282130.311923562956346491236447
absolute error = 1.377559827598e-12
relative error = 2.5377777542665941976542270677798e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.099
y[1] (analytic) = 54390803.209220410242327084344175
y[1] (numeric) = 54390803.20922041024094676663971
absolute error = 1.380317704465e-12
relative error = 2.5377777547344740810427381925498e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.1
y[1] (analytic) = 54499693.66980261548918619096306
y[1] (numeric) = 54499693.669802615487803109860454
absolute error = 1.383081102606e-12
relative error = 2.5377777552029480612815506917795e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.101
y[1] (analytic) = 54608802.129232166214422492936275
y[1] (numeric) = 54608802.129232166213036642903201
absolute error = 1.385850033074e-12
relative error = 2.5377777556709169936354212791026e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.102
y[1] (analytic) = 54718129.0239430456142041943375
y[1] (numeric) = 54718129.023943045612815569830556
absolute error = 1.388624506944e-12
relative error = 2.5377777561370541640065533649362e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.103
y[1] (analytic) = 54827674.791242978301261278026525
y[1] (numeric) = 54827674.791242978299869873491208
absolute error = 1.391404535317e-12
relative error = 2.5377777566070223879197621946716e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.104
y[1] (analytic) = 54937439.86931517953636703361306
y[1] (numeric) = 54937439.869315179534972843483754
absolute error = 1.394190129306e-12
relative error = 2.5377777570678399022417465202863e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1079.6MB, alloc=4.6MB, time=53.28
x[1] = 8.105
y[1] (analytic) = 55047424.697220107961783344914835
y[1] (numeric) = 55047424.697220107960386363614773
absolute error = 1.396981300062e-12
relative error = 2.5377777575352175954370390074641e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.106
y[1] (analytic) = 55157629.714897221843680673028015
y[1] (numeric) = 55157629.714897221842280894969269
absolute error = 1.399778058746e-12
relative error = 2.5377777580024284790664102366900e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.107
y[1] (analytic) = 55268055.363166738830557707031625
y[1] (numeric) = 55268055.363166738829155126615086
absolute error = 1.402580416539e-12
relative error = 2.5377777584585440465362454743328e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.108
y[1] (analytic) = 55378702.08373139923469971835089
y[1] (numeric) = 55378702.083731399233294329966227
absolute error = 1.405388384663e-12
relative error = 2.5377777589263164257334717324992e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.109
y[1] (analytic) = 55489570.31917823284372874696389
y[1] (numeric) = 55489570.31917823284232054498955
absolute error = 1.408201974340e-12
relative error = 2.5377777593878737825587942894957e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.11
y[1] (analytic) = 55600660.51298032926931286800815
y[1] (numeric) = 55600660.512980329267901846811326
absolute error = 1.411021196824e-12
relative error = 2.5377777598425977163509395100910e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.111
y[1] (analytic) = 55711973.109498611840115935984595
y[1] (numeric) = 55711973.109498611838702089921194
absolute error = 1.413846063401e-12
relative error = 2.5377777603068708065262591670884e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.112
y[1] (analytic) = 55823508.55398361504608338072304
y[1] (numeric) = 55823508.553983615044666704137681
absolute error = 1.416676585359e-12
relative error = 2.5377777607600851940471651791250e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.113
y[1] (analytic) = 55935267.29257726554117383462243
y[1] (numeric) = 55935267.2925772655397543218484
absolute error = 1.419512774030e-12
relative error = 2.5377777612200174546596033483575e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.114
y[1] (analytic) = 56047249.77231466671166060446685
y[1] (numeric) = 56047249.772314666710238249826095
absolute error = 1.422354640755e-12
relative error = 2.5377777616799178457431549259050e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.115
y[1] (analytic) = 56159456.441125886817141263402755
y[1] (numeric) = 56159456.441125886815716061205858
absolute error = 1.425202196897e-12
relative error = 2.5377777621318221838683722926874e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.116
y[1] (analytic) = 56271887.74783775071140792949992
y[1] (numeric) = 56271887.747837750709979874046067
absolute error = 1.428055453853e-12
relative error = 2.5377777625878084774534734756049e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.117
y[1] (analytic) = 56384544.14217563515034511676615
y[1] (numeric) = 56384544.14217563514891420234312
absolute error = 1.430914423030e-12
relative error = 2.5377777630371513631425481111230e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.118
y[1] (analytic) = 56497426.07476526769403639260099
y[1] (numeric) = 56497426.074765267692602613485117
absolute error = 1.433779115873e-12
relative error = 2.5377777634960284060418338099670e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.119
y[1] (analytic) = 56610533.997134529210275452513485
y[1] (numeric) = 56610533.997134529208838802969655
absolute error = 1.436649543830e-12
relative error = 2.5377777639453450139403006519983e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.12
y[1] (analytic) = 56723868.36171525998669162855176
y[1] (numeric) = 56723868.36171525998525210283337
absolute error = 1.439525718390e-12
relative error = 2.5377777643979965569755155106170e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.121
y[1] (analytic) = 56837429.62184506945871428235447
y[1] (numeric) = 56837429.621845069457271874703418
absolute error = 1.442407651052e-12
relative error = 2.5377777648439272217933607862069e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.122
y[1] (analytic) = 56951218.231769149560614997094775
y[1] (numeric) = 56951218.231769149559169701741425
absolute error = 1.445295353350e-12
relative error = 2.5377777652941751933019414312424e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.123
y[1] (analytic) = 57065234.64664209170688097490332
y[1] (numeric) = 57065234.646642091705432786066489
absolute error = 1.448188836831e-12
relative error = 2.5377777657420291533959061751927e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.124
y[1] (analytic) = 57179479.322529707411187567686525
y[1] (numeric) = 57179479.322529707409736479573456
absolute error = 1.451088113069e-12
relative error = 2.5377777661876086628367740800326e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.125
y[1] (analytic) = 57293952.716410852550252419657755
y[1] (numeric) = 57293952.716410852548798426464092
absolute error = 1.453993193663e-12
relative error = 2.5377777666342246145369691882323e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.126
y[1] (analytic) = 57408655.2861792552798682794303
y[1] (numeric) = 57408655.286179255278411375340069
absolute error = 1.456904090231e-12
relative error = 2.5377777670778151578688585169753e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.127
y[1] (analytic) = 57523587.49064534761042614824066
y[1] (numeric) = 57523587.490645347608966327426238
absolute error = 1.459820814422e-12
relative error = 2.5377777675277994241442490655454e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.128
y[1] (analytic) = 57638749.78953810064925506883677
y[1] (numeric) = 57638749.789538100647792325458879
absolute error = 1.462743377891e-12
relative error = 2.5377777679634886109724770967807e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.129
y[1] (analytic) = 57754142.64350686351711952683742
y[1] (numeric) = 57754142.643506863515653855045079
absolute error = 1.465671792341e-12
relative error = 2.5377777684070276370639996574008e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.13
y[1] (analytic) = 57869766.51412320594623013300421
y[1] (numeric) = 57869766.514123205944761526934729
absolute error = 1.468606069481e-12
relative error = 2.5377777688503104971878995706714e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.131
y[1] (analytic) = 57985621.863882764567137980925715
y[1] (numeric) = 57985621.863882764565666434704666
absolute error = 1.471546221049e-12
relative error = 2.5377777692948657875808013214104e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.132
y[1] (analytic) = 58101709.156207092891897830152915
y[1] (numeric) = 58101709.156207092890423337894111
absolute error = 1.474492258804e-12
relative error = 2.5377777697379110171020413809890e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.133
y[1] (analytic) = 58218028.8554455150009000499053
y[1] (numeric) = 58218028.855445514999422605710775
absolute error = 1.477444194525e-12
relative error = 2.5377777701705971290985289711131e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=1083.4MB, alloc=4.6MB, time=53.47
TOP MAIN SOLVE Loop
x[1] = 8.134
y[1] (analytic) = 58334581.426876982940786073147025
y[1] (numeric) = 58334581.426876982939305671106995
absolute error = 1.480402040030e-12
relative error = 2.5377777706105591451418881616174e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.135
y[1] (analytic) = 58451367.336711937840876955171385
y[1] (numeric) = 58451367.336711937839393589364241
absolute error = 1.483365807144e-12
relative error = 2.5377777710468247714603880604283e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.136
y[1] (analytic) = 58568387.052094174755559504889455
y[1] (numeric) = 58568387.05209417475407316938173
absolute error = 1.486335507725e-12
relative error = 2.5377777714844112282197002735852e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.137
y[1] (analytic) = 58685641.04110271124008936085376
y[1] (numeric) = 58685641.04110271123860004970011
absolute error = 1.489311153650e-12
relative error = 2.5377777719202292269287040723060e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.138
y[1] (analytic) = 58803129.772753659667285317720795
y[1] (numeric) = 58803129.772753659665793024963973
absolute error = 1.492292756822e-12
relative error = 2.5377777723549870788405297411570e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.139
y[1] (analytic) = 58920853.717002103292604172426075
y[1] (numeric) = 58920853.717002103291108892096907
absolute error = 1.495280329168e-12
relative error = 2.5377777727896776922184163385889e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.14
y[1] (analytic) = 59038813.34474397607510035287255
y[1] (numeric) = 59038813.34474397607360207898991
absolute error = 1.498273882640e-12
relative error = 2.5377777732271886980967014129231e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.141
y[1] (analytic) = 59157009.1278179462617896154773
y[1] (numeric) = 59157009.127817946260288342048092
absolute error = 1.501273429208e-12
relative error = 2.5377777736603697611201872630126e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.142
y[1] (analytic) = 59275441.53900730374295115154278
y[1] (numeric) = 59275441.539007303741446872561912
absolute error = 1.504278980868e-12
relative error = 2.5377777740855482541472854607557e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.143
y[1] (analytic) = 59394111.0520418511859175261775
y[1] (numeric) = 59394111.052041851184410235627849
absolute error = 1.507290549651e-12
relative error = 2.5377777745175670146090378340145e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.144
y[1] (analytic) = 59513018.14159979895491698744737
y[1] (numeric) = 59513018.14159979895340667929977
absolute error = 1.510308147600e-12
relative error = 2.5377777749508717113741399920019e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.145
y[1] (analytic) = 59632163.283309663824547827653575
y[1] (numeric) = 59632163.283309663823034495866795
absolute error = 1.513331786780e-12
relative error = 2.5377777753764026905531248939094e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.146
y[1] (analytic) = 59751546.953752171494479653166015
y[1] (numeric) = 59751546.953752171492963291686723
absolute error = 1.516361479292e-12
relative error = 2.5377777758049797666418505817706e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.147
y[1] (analytic) = 59871169.63046216291299162415403
y[1] (numeric) = 59871169.63046216291147222691678
absolute error = 1.519397237250e-12
relative error = 2.5377777762286073653646238396003e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.148
y[1] (analytic) = 59991031.791930504416972960909225
y[1] (numeric) = 59991031.791930504415450521836422
absolute error = 1.522439072803e-12
relative error = 2.5377777766572534023233767090939e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.149
y[1] (analytic) = 60111133.917606001696026279309175
y[1] (numeric) = 60111133.917606001694500792311061
absolute error = 1.525486998114e-12
relative error = 2.5377777770836540508600751216217e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.15
y[1] (analytic) = 60231476.487897317588329614387395
y[1] (numeric) = 60231476.487897317586801073362018
absolute error = 1.528541025377e-12
relative error = 2.5377777775116291308684414359351e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.151
y[1] (analytic) = 60352059.984174893715928318014655
y[1] (numeric) = 60352059.984174893714396716847854
absolute error = 1.531601166801e-12
relative error = 2.5377777779293797603774866525461e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.152
y[1] (analytic) = 60472884.88877287596714337442149
y[1] (numeric) = 60472884.88877287596560870698685
absolute error = 1.534667434640e-12
relative error = 2.5377777783591724410268007537673e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.153
y[1] (analytic) = 60593951.68499104383379806576235
y[1] (numeric) = 60593951.684991043832260325921208
absolute error = 1.537739841142e-12
relative error = 2.5377777787727515952910121587269e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.154
y[1] (analytic) = 60715260.857096743610980339200705
y[1] (numeric) = 60715260.857096743609439520802091
absolute error = 1.540818398614e-12
relative error = 2.5377777791988196944291461835067e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.155
y[1] (analytic) = 60836812.89032682546707367714192
y[1] (numeric) = 60836812.890326825465529774022562
absolute error = 1.543903119358e-12
relative error = 2.5377777796171891080115951300110e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.156
y[1] (analytic) = 60958608.27088958439180475332039
y[1] (numeric) = 60958608.270889584390257759304672
absolute error = 1.546994015718e-12
relative error = 2.5377777800362900656657462079742e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.157
y[1] (analytic) = 61080647.4859667050300716695193
y[1] (numeric) = 61080647.485966705028521578419242
absolute error = 1.550091100058e-12
relative error = 2.5377777804567868106060943335289e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.158
y[1] (analytic) = 61202931.02371521040933211082917
y[1] (numeric) = 61202931.023715210407778916444406
absolute error = 1.553194384764e-12
relative error = 2.5377777808748418593616898139663e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.159
y[1] (analytic) = 61325459.37326941456834633159609
y[1] (numeric) = 61325459.373269414566790027713842
absolute error = 1.556303882248e-12
relative error = 2.5377777812886027200195339005626e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.16
y[1] (analytic) = 61448233.02474287909508548963508
y[1] (numeric) = 61448233.024742879093526070030128
absolute error = 1.559419604952e-12
relative error = 2.5377777817046109556492625983873e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.161
y[1] (analytic) = 61571252.46923037358163148295063
y[1] (numeric) = 61571252.46923037358006894138529
absolute error = 1.562541565340e-12
relative error = 2.5377777821246445212205342843924e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1087.2MB, alloc=4.6MB, time=53.65
x[1] = 8.162
y[1] (analytic) = 61694518.198809840003910111177715
y[1] (numeric) = 61694518.198809840002344441401822
absolute error = 1.565669775893e-12
relative error = 2.5377777825375798395608822948518e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.163
y[1] (analytic) = 61818030.70654436103411508329513
y[1] (numeric) = 61818030.706544361032546279046
absolute error = 1.568804249130e-12
relative error = 2.5377777829534104839091345425555e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.164
y[1] (analytic) = 61941790.48648413229369612393152
y[1] (numeric) = 61941790.486484132292124178933936
absolute error = 1.571944997584e-12
relative error = 2.5377777833642098025556390276134e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.165
y[1] (analytic) = 62065798.03366843855480019284629
y[1] (numeric) = 62065798.033668438553225100812469
absolute error = 1.575092033821e-12
relative error = 2.5377777837748414129991487757443e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.166
y[1] (analytic) = 62190053.84412763389807062598514
y[1] (numeric) = 62190053.84412763389649238061471
absolute error = 1.578245370430e-12
relative error = 2.5377777841866711976498352320565e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.167
y[1] (analytic) = 62314558.41488512583472483194703
y[1] (numeric) = 62314558.414885125833143426927006
absolute error = 1.581405020024e-12
relative error = 2.5377777845991260099449376774017e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.168
y[1] (analytic) = 62439312.243959363400847034818855
y[1] (numeric) = 62439312.243959363399262463823618
absolute error = 1.584570995237e-12
relative error = 2.5377777850048275214405089184224e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.169
y[1] (analytic) = 62564315.83036582923184844319961
y[1] (numeric) = 62564315.830365829230260699890867
absolute error = 1.587743308743e-12
relative error = 2.5377777854199481733892681975407e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.17
y[1] (analytic) = 62689569.67411903562506314591075
y[1] (numeric) = 62689569.674119035623472223937533
absolute error = 1.590921973217e-12
relative error = 2.5377777858216840889618857237005e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.171
y[1] (analytic) = 62815074.27623452459846398743788
y[1] (numeric) = 62815074.276234524596869880436494
absolute error = 1.594107001386e-12
relative error = 2.5377777862297537002707601489116e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.172
y[1] (analytic) = 62940830.13873087195349866063385
y[1] (numeric) = 62940830.138730871951901362227865
absolute error = 1.597298405985e-12
relative error = 2.5377777866359861291274640613808e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.173
y[1] (analytic) = 63066837.76463169535006227069987
y[1] (numeric) = 63066837.764631695348461774500088
absolute error = 1.600496199782e-12
relative error = 2.5377777870441586958086330207187e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.174
y[1] (analytic) = 63193097.65796766640163867301222
y[1] (numeric) = 63193097.657967666400034972616656
absolute error = 1.603700395564e-12
relative error = 2.5377777874476427598913326422685e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.175
y[1] (analytic) = 63319610.32377852679865896804278
y[1] (numeric) = 63319610.323778526797052057036627
absolute error = 1.606911006153e-12
relative error = 2.5377777878546953543467347133162e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.176
y[1] (analytic) = 63446376.26811510846814164949545
y[1] (numeric) = 63446376.268115108466531521451063
absolute error = 1.610128044387e-12
relative error = 2.5377777882582833893158805056229e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.177
y[1] (analytic) = 63573395.998041357777695046912675
y[1] (numeric) = 63573395.99804135777608169538954
absolute error = 1.613351523135e-12
relative error = 2.5377777886597500427332320330545e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.178
y[1] (analytic) = 63700670.021636363791978881460725
y[1] (numeric) = 63700670.021636363790362300005432
absolute error = 1.616581455293e-12
relative error = 2.5377777890623711890729358503606e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.179
y[1] (analytic) = 63828198.84799639058973796344432
y[1] (numeric) = 63828198.847996390588118145590544
absolute error = 1.619817853776e-12
relative error = 2.5377777894587215891665958224616e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.18
y[1] (analytic) = 63955982.987236913649537302395165
y[1] (numeric) = 63955982.987236913647914241663627
absolute error = 1.623060731538e-12
relative error = 2.5377777898619723673122924497978e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.181
y[1] (analytic) = 64084022.950494660312344175389955
y[1] (numeric) = 64084022.950494660310717865288411
absolute error = 1.626310101544e-12
relative error = 2.5377777902619121080882287421114e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.182
y[1] (analytic) = 64212319.249929654329119006646825
y[1] (numeric) = 64212319.249929654327489440670034
absolute error = 1.629565976791e-12
relative error = 2.5377777906578031236775598674061e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.183
y[1] (analytic) = 64340872.398727264501593251489765
y[1] (numeric) = 64340872.39872726449996042311946
absolute error = 1.632828370305e-12
relative error = 2.5377777910535437483707807058436e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.184
y[1] (analytic) = 64469682.91110025742442885052407
y[1] (numeric) = 64469682.911100257422792753228934
absolute error = 1.636097295136e-12
relative error = 2.5377777914497856670690847401403e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.185
y[1] (analytic) = 64598751.302290854336970225397645
y[1] (numeric) = 64598751.302290854335330852633287
absolute error = 1.639372764358e-12
relative error = 2.5377777918438853900770015851967e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.186
y[1] (analytic) = 64728078.088572792092816225898615
y[1] (numeric) = 64728078.088572792091173571107539
absolute error = 1.642654791076e-12
relative error = 2.5377777922406708141419075226278e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.187
y[1] (analytic) = 64857663.78725338825545590942497
y[1] (numeric) = 64857663.787253388253809966036554
absolute error = 1.645943388416e-12
relative error = 2.5377777926368675064220902921765e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.188
y[1] (analytic) = 64987508.91667561032822853812285
y[1] (numeric) = 64987508.916675610326579299553316
absolute error = 1.649238569534e-12
relative error = 2.5377777930349474654769757547473e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.189
y[1] (analytic) = 65117613.996220149126884716292405
y[1] (numeric) = 65117613.996220149125232175944803
absolute error = 1.652540347602e-12
relative error = 2.5377777934214914816786254279382e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.19
y[1] (analytic) = 65247979.54630749630304216107033
y[1] (numeric) = 65247979.54630749630138631233449
absolute error = 1.655848735840e-12
relative error = 2.5377777938163106521161885601068e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=1091.0MB, alloc=4.6MB, time=53.84
TOP MAIN SOLVE Loop
x[1] = 8.191
y[1] (analytic) = 65378606.08840002602684620298208
y[1] (numeric) = 65378606.088400026025187039234606
absolute error = 1.659163747474e-12
relative error = 2.5377777942077929428730670192125e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.192
y[1] (analytic) = 65509494.145004080837161749781485
y[1] (numeric) = 65509494.145004080835499264385721
absolute error = 1.662485395764e-12
relative error = 2.5377777945958774086343168134945e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.193
y[1] (analytic) = 65640644.239672061667640117126655
y[1] (numeric) = 65640644.239672061665974303432652
absolute error = 1.665813694003e-12
relative error = 2.5377777949903350098196579062706e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.194
y[1] (analytic) = 65772056.89700452205702083314621
y[1] (numeric) = 65772056.897004522055351684490714
absolute error = 1.669148655496e-12
relative error = 2.5377777953786611379374251693154e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.195
y[1] (analytic) = 65903732.642652266552045260895395
y[1] (numeric) = 65903732.642652266550372770601811
absolute error = 1.672490293584e-12
relative error = 2.5377777957626337086295817612407e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.196
y[1] (analytic) = 66035672.003318453311375653154375
y[1] (numeric) = 66035672.003318453309699814532734
absolute error = 1.675838621641e-12
relative error = 2.5377777961535471747575863857235e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.197
y[1] (analytic) = 66167875.506760700918930058048405
y[1] (numeric) = 66167875.506760700917250864395355
absolute error = 1.679193653050e-12
relative error = 2.5377777965357652040516300738778e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.198
y[1] (analytic) = 66300343.68179319941506033163866
y[1] (numeric) = 66300343.681793199413377776237418
absolute error = 1.682555401242e-12
relative error = 2.5377777969257316878360966114057e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.199
y[1] (analytic) = 66433077.05828882555401738501035
y[1] (numeric) = 66433077.058288825552331461130698
absolute error = 1.685923879652e-12
relative error = 2.5377777973053380122376487549779e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.2
y[1] (analytic) = 66566076.167181262296164698539615
y[1] (numeric) = 66566076.167181262294475399437849
absolute error = 1.689299101766e-12
relative error = 2.5377777976927933134369814609506e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.201
y[1] (analytic) = 66699341.54046712254341807501907
y[1] (numeric) = 66699341.540467122541725393937995
absolute error = 1.692681081075e-12
relative error = 2.5377777980732153833543544398327e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.202
y[1] (analytic) = 66832873.711208077126406576232835
y[1] (numeric) = 66832873.711208077124710506401719
absolute error = 1.696069831116e-12
relative error = 2.5377777984602267776669835775053e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.203
y[1] (analytic) = 66966673.213532987051866594461955
y[1] (numeric) = 66966673.213532987050167129096521
absolute error = 1.699465365434e-12
relative error = 2.5377777988388451990145958288368e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.204
y[1] (analytic) = 67100740.582640040018798051339635
y[1] (numeric) = 67100740.582640040017095183642015
absolute error = 1.702867697620e-12
relative error = 2.5377777992223191801206768605436e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.205
y[1] (analytic) = 67235076.35479889121192879152964
y[1] (numeric) = 67235076.354798891210222514688364
absolute error = 1.706276841276e-12
relative error = 2.5377777995997096896235318594672e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.206
y[1] (analytic) = 67369681.06735280838105034793995
y[1] (numeric) = 67369681.067352808379340655129906
absolute error = 1.709692810044e-12
relative error = 2.5377777999790965037273131142578e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.207
y[1] (analytic) = 67504555.258720821214805398674735
y[1] (numeric) = 67504555.258720821213092283057146
absolute error = 1.713115617589e-12
relative error = 2.5377778003621243548618121762506e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.208
y[1] (analytic) = 67639699.46839987501752441374037
y[1] (numeric) = 67639699.468399875015807868462776
absolute error = 1.716545277594e-12
relative error = 2.5377778007365939832572495947286e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.209
y[1] (analytic) = 67775114.236966988697726201723655
y[1] (numeric) = 67775114.236966988696006219919866
absolute error = 1.719981803789e-12
relative error = 2.5377778011193081355026633594811e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.21
y[1] (analytic) = 67910800.10608141707691431332166
y[1] (numeric) = 67910800.106081417075190888111749
absolute error = 1.723425209911e-12
relative error = 2.5377778014968007237565044336425e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.211
y[1] (analytic) = 68046757.618486817527318539792015
y[1] (numeric) = 68046757.61848681752559166428228
absolute error = 1.726875509735e-12
relative error = 2.5377778018711146473778371642595e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.212
y[1] (analytic) = 68182987.318013420947248060178385
y[1] (numeric) = 68182987.318013420945517727461319
absolute error = 1.730332717066e-12
relative error = 2.5377778022478334588535655355862e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.213
y[1] (analytic) = 68319489.749580207082740141618385
y[1] (numeric) = 68319489.749580207081006344772657
absolute error = 1.733796845728e-12
relative error = 2.5377778026198642847317094592750e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.214
y[1] (analytic) = 68456265.459197084204205682229205
y[1] (numeric) = 68456265.459197084202468414319623
absolute error = 1.737267909582e-12
relative error = 2.5377778029937775966465919498950e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.215
y[1] (analytic) = 68593314.99396707314679030605928
y[1] (numeric) = 68593314.99396707314504956013677
absolute error = 1.740745922510e-12
relative error = 2.5377778033662643051645462294566e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.216
y[1] (analytic) = 68730638.902088495723187174462505
y[1] (numeric) = 68730638.902088495721442943564082
absolute error = 1.744230898423e-12
relative error = 2.5377778037357930323342077303691e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.217
y[1] (analytic) = 68868237.73285716751765516806409
y[1] (numeric) = 68868237.732857167515907445212826
absolute error = 1.747722851264e-12
relative error = 2.5377778041068678249025902159246e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.218
y[1] (analytic) = 69006112.03666859507001361831451
y[1] (numeric) = 69006112.036668595068262396519508
absolute error = 1.751221795002e-12
relative error = 2.5377778044811922356937160902823e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1094.8MB, alloc=4.6MB, time=54.02
x[1] = 8.219
y[1] (analytic) = 69144262.36502017745840232754006
y[1] (numeric) = 69144262.365020177456647599796432
absolute error = 1.754727743628e-12
relative error = 2.5377778048518313106442559715354e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.22
y[1] (analytic) = 69282689.270513412289613211465555
y[1] (numeric) = 69282689.270513412287854970754389
absolute error = 1.758240711166e-12
relative error = 2.5377778052190939973091618179495e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.221
y[1] (analytic) = 69421393.306856106105817528477045
y[1] (numeric) = 69421393.306856106104055767765373
absolute error = 1.761760711672e-12
relative error = 2.5377778055889397727183539728712e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.222
y[1] (analytic) = 69560375.02886458921653032548066
y[1] (numeric) = 69560375.028864589214765037721438
absolute error = 1.765287759222e-12
relative error = 2.5377778059555901777163260397406e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.223
y[1] (analytic) = 69699634.992465934964671431168525
y[1] (numeric) = 69699634.9924659349629026093006
absolute error = 1.768821867925e-12
relative error = 2.5377778063202164980925650445698e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.224
y[1] (analytic) = 69839173.754700183435600063894695
y[1] (numeric) = 69839173.754700183433827700842773
absolute error = 1.772363051922e-12
relative error = 2.5377778066893579019434664913106e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.225
y[1] (analytic) = 69978991.873722569618017893264495
y[1] (numeric) = 69978991.873722569616241981939121
absolute error = 1.775911325374e-12
relative error = 2.5377778070576389604991769953788e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.226
y[1] (analytic) = 70119089.908805756025653202020415
y[1] (numeric) = 70119089.908805756023873735317946
absolute error = 1.779466702469e-12
relative error = 2.5377778074177906262380313482883e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.227
y[1] (analytic) = 70259468.420342069788656637938035
y[1] (numeric) = 70259468.420342069786873608740599
absolute error = 1.783029197436e-12
relative error = 2.5377778077805147003649221944828e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.228
y[1] (analytic) = 70400127.96984574422365692429773
y[1] (numeric) = 70400127.969845744221870325473203
absolute error = 1.786598824527e-12
relative error = 2.5377778081486556548653131646450e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.229
y[1] (analytic) = 70541069.1199551648914428121438
y[1] (numeric) = 70541069.119955164889652636545791
absolute error = 1.790175598009e-12
relative error = 2.5377778085058569855644737128307e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.23
y[1] (analytic) = 70682292.43443512015125550805362
y[1] (numeric) = 70682292.434435120149461748521418
absolute error = 1.793759532202e-12
relative error = 2.5377778088704338094495174510165e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.231
y[1] (analytic) = 70823798.478179056220693797587125
y[1] (numeric) = 70823798.47817905621889644694569
absolute error = 1.797350641435e-12
relative error = 2.5377778092328203336854381414107e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.232
y[1] (analytic) = 70965587.81721133675025210704403
y[1] (numeric) = 70965587.817211336748451158103956
absolute error = 1.800948940074e-12
relative error = 2.5377778095952225949397329034073e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.233
y[1] (analytic) = 71107661.018689506921529804693685
y[1] (numeric) = 71107661.018689506919725250251174
absolute error = 1.804554442511e-12
relative error = 2.5377778099559509355190786783190e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.234
y[1] (analytic) = 71250018.650906562078168137333615
y[1] (numeric) = 71250018.650906562076359970170451
absolute error = 1.808167163164e-12
relative error = 2.5377778103093780295362343071657e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.235
y[1] (analytic) = 71392661.28329322089858932894935
y[1] (numeric) = 71392661.283293220896777541832856
absolute error = 1.811787116494e-12
relative error = 2.5377778106697094550153774505198e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.236
y[1] (analytic) = 71535589.486420203119630535462755
y[1] (numeric) = 71535589.486420203117815121145782
absolute error = 1.815414316973e-12
relative error = 2.5377778110259720051826978114094e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.237
y[1] (analytic) = 71678803.83200051182018355314177
y[1] (numeric) = 71678803.832000511818364504362657
absolute error = 1.819048779113e-12
relative error = 2.5377778113826421186712132778120e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.238
y[1] (analytic) = 71822304.89289172027396941827332
y[1] (numeric) = 71822304.892891720272146727755869
absolute error = 1.822690517451e-12
relative error = 2.5377778117385262940559182875314e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.239
y[1] (analytic) = 71966093.24309826338059531224701
y[1] (numeric) = 71966093.243098263378768972700454
absolute error = 1.826339546556e-12
relative error = 2.5377778120964635531005272578861e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.24
y[1] (analytic) = 72110169.457773733684059499332415
y[1] (numeric) = 72110169.457773733682229503451395
absolute error = 1.829995881020e-12
relative error = 2.5377778124507234969019058389732e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.241
y[1] (analytic) = 72254534.11322318198788837423113
y[1] (numeric) = 72254534.113223181986054714695659
absolute error = 1.833659535471e-12
relative error = 2.5377778128050029477174932149349e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.242
y[1] (analytic) = 72399187.786905422576108083019195
y[1] (numeric) = 72399187.786905422574270752494632
absolute error = 1.837330524563e-12
relative error = 2.5377778131584388859544401309293e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.243
y[1] (analytic) = 72544131.057435343049271604440055
y[1] (numeric) = 72544131.057435343047430595577074
absolute error = 1.841008862981e-12
relative error = 2.5377778135124654080987079427016e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.244
y[1] (analytic) = 72689364.504586218784780638736135
y[1] (numeric) = 72689364.5045862187829359441707
absolute error = 1.844694565435e-12
relative error = 2.5377778138624557065492636461425e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.245
y[1] (analytic) = 72834888.70929203203076014839256
y[1] (numeric) = 72834888.70929203202891176074589
absolute error = 1.848387646670e-12
relative error = 2.5377778142114314408692835983306e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.246
y[1] (analytic) = 72980704.253649795642761929383275
y[1] (numeric) = 72980704.253649795640909841261812
absolute error = 1.852088121463e-12
relative error = 2.5377778145657950346525995557945e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.247
y[1] (analytic) = 73126811.72092188147259216283217
y[1] (numeric) = 73126811.720921881470736366827563
absolute error = 1.855796004607e-12
relative error = 2.5377778149133351776173399032982e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=1098.6MB, alloc=4.6MB, time=54.20
TOP MAIN SOLVE Loop
x[1] = 8.248
y[1] (analytic) = 73273211.695538353418576505503995
y[1] (numeric) = 73273211.695538353416716994193056
absolute error = 1.859511310939e-12
relative error = 2.5377778152615448643405657650681e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.249
y[1] (analytic) = 73419904.76309930514659492329606
y[1] (numeric) = 73419904.763099305144731689240741
absolute error = 1.863234055319e-12
relative error = 2.5377778156087416335020781739022e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.25
y[1] (analytic) = 73566891.510377202491237154987105
y[1] (numeric) = 73566891.510377202489370190734465
absolute error = 1.866964252640e-12
relative error = 2.5377778159576711994965516276137e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.251
y[1] (analytic) = 73714172.52531923054644841398834
y[1] (numeric) = 73714172.52531923054457771207052
absolute error = 1.870701917820e-12
relative error = 2.5377778163045297482424183556833e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.252
y[1] (analytic) = 73861748.39704964545505369380896
y[1] (numeric) = 73861748.397049645453179246743148
absolute error = 1.874447065812e-12
relative error = 2.5377778166524872611250640191878e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.253
y[1] (analytic) = 74009619.715872130906567838469025
y[1] (numeric) = 74009619.715872130904689638757436
absolute error = 1.878199711589e-12
relative error = 2.5377778169912695589345206516597e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.254
y[1] (analytic) = 74157787.073272159352717372242065
y[1] (numeric) = 74157787.073272159350835412371889
absolute error = 1.881959870176e-12
relative error = 2.5377778173403629124753365212059e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.255
y[1] (analytic) = 74306251.061919357950118953962885
y[1] (numeric) = 74306251.061919357948233226406282
absolute error = 1.885727556603e-12
relative error = 2.5377778176853845971702562670813e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.256
y[1] (analytic) = 74455012.27566987923957822976914
y[1] (numeric) = 74455012.275669879237688726983201
absolute error = 1.889502785939e-12
relative error = 2.5377778180240048227840223062234e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.257
y[1] (analytic) = 74604071.309568776571491804632885
y[1] (numeric) = 74604071.309568776569598519059591
absolute error = 1.893285573294e-12
relative error = 2.5377778183684269127540846718215e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.258
y[1] (analytic) = 74753428.75985238428685403745722
y[1] (numeric) = 74753428.759852384284956961523426
absolute error = 1.897075933794e-12
relative error = 2.5377778187117181256438080675940e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.259
y[1] (analytic) = 74903085.223950702663389386938865
y[1] (numeric) = 74903085.223950702661488513056266
absolute error = 1.900873882599e-12
relative error = 2.5377778190519505868116355961346e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.26
y[1] (analytic) = 75053041.30048978763635009590591
y[1] (numeric) = 75053041.300489787634445416471003
absolute error = 1.904679434907e-12
relative error = 2.5377778193974003262710640711234e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.261
y[1] (analytic) = 75203297.58929414530353810050777
y[1] (numeric) = 75203297.589294145301629607901838
absolute error = 1.908492605932e-12
relative error = 2.5377778197371105783798686117369e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.262
y[1] (analytic) = 75353854.691389131224129187537715
y[1] (numeric) = 75353854.691389131222216874126788
absolute error = 1.912313410927e-12
relative error = 2.5377778200715254423600362311719e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.263
y[1] (analytic) = 75504713.20900335452089659838361
y[1] (numeric) = 75504713.209003354518980456518429
absolute error = 1.916141865181e-12
relative error = 2.5377778204083223587106561601289e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.264
y[1] (analytic) = 75655873.745571086795450491706765
y[1] (numeric) = 75655873.745571086793530513722756
absolute error = 1.919977984009e-12
relative error = 2.5377778207490412824758144315951e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.265
y[1] (analytic) = 75807336.905734675866128929018645
y[1] (numeric) = 75807336.905734675864205107235895
absolute error = 1.923821782750e-12
relative error = 2.5377778210864266196880266632857e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.266
y[1] (analytic) = 75959103.295346964338195337937715
y[1] (numeric) = 75959103.295346964336267664660934
absolute error = 1.927673276781e-12
relative error = 2.5377778214228651999478979509170e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.267
y[1] (analytic) = 76111173.52147371301601673714099
y[1] (numeric) = 76111173.521473713014085204659479
absolute error = 1.931532481511e-12
relative error = 2.5377778217623262287115272511056e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.268
y[1] (analytic) = 76263548.19239602916691637495443
y[1] (numeric) = 76263548.192396029164980975542059
absolute error = 1.935399412371e-12
relative error = 2.5377778220971521561079586600382e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.269
y[1] (analytic) = 76416227.917612799646413840230445
y[1] (numeric) = 76416227.917612799644474566145612
absolute error = 1.939274084833e-12
relative error = 2.5377778224329576946623390880285e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.27
y[1] (analytic) = 76569213.307843128894585149717065
y[1] (numeric) = 76569213.307843128892641993202673
absolute error = 1.943156514392e-12
relative error = 2.5377778227649085880086370759298e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.271
y[1] (analytic) = 76722504.975028781813294800609845
y[1] (numeric) = 76722504.975028781811347753893265
absolute error = 1.947046716580e-12
relative error = 2.5377778230959925478177723642754e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.272
y[1] (analytic) = 76876103.53233663153407130047184
y[1] (numeric) = 76876103.53233663153212035576488
absolute error = 1.950944706960e-12
relative error = 2.5377778234290557352251492239619e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.273
y[1] (analytic) = 77030009.59416111208641724928748
y[1] (numeric) = 77030009.594161112084462398786358
absolute error = 1.954850501122e-12
relative error = 2.5377778237615304706195900083894e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.274
y[1] (analytic) = 77184223.77612667597636465016091
y[1] (numeric) = 77184223.77612667597440588604622
absolute error = 1.958764114690e-12
relative error = 2.5377778240944776112991595221775e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.275
y[1] (analytic) = 77338746.69509025668510576615678
y[1] (numeric) = 77338746.695090256683143080593465
absolute error = 1.962685563315e-12
relative error = 2.5377778244234185101961280134454e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.276
y[1] (analytic) = 77493578.96914373609754952109028
y[1] (numeric) = 77493578.969143736095582906227593
absolute error = 1.966614862687e-12
relative error = 2.5377778247537946632506134694435e-18 %
Correct digits = 19
h = 0.001
memory used=1102.4MB, alloc=4.6MB, time=54.39
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.277
y[1] (analytic) = 77648721.21761641687067316178189
y[1] (numeric) = 77648721.217616416868702609753366
absolute error = 1.970552028524e-12
relative error = 2.5377778250866216185428150317692e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.278
y[1] (analytic) = 77804174.06107749975155865848001
y[1] (numeric) = 77804174.061077499749584161403439
absolute error = 1.974497076571e-12
relative error = 2.5377778254171668925959154394955e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.279
y[1] (analytic) = 77959938.121338565855023118900165
y[1] (numeric) = 77959938.12133856585304466887756
absolute error = 1.978450022605e-12
relative error = 2.5377778257413400991399841743378e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.28
y[1] (analytic) = 78116014.021456063910772329712145
y[1] (numeric) = 78116014.021456063908789918829699
absolute error = 1.982410882446e-12
relative error = 2.5377778260696875390045876999240e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.281
y[1] (analytic) = 78272402.38573380249002641740553
y[1] (numeric) = 78272402.385733802488040037733599
absolute error = 1.986379671931e-12
relative error = 2.5377778263939480118444340977537e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.282
y[1] (analytic) = 78429103.83972544722158653835931
y[1] (numeric) = 78429103.839725447219596181952366
absolute error = 1.990356406944e-12
relative error = 2.5377778267254105852004790407319e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.283
y[1] (analytic) = 78586119.010237023007331465711855
y[1] (numeric) = 78586119.010237023005337124608474
absolute error = 1.994341103381e-12
relative error = 2.5377778270501016852224558356510e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.284
y[1] (analytic) = 78743448.52532942124715293835401
y[1] (numeric) = 78743448.525329421245154604576826
absolute error = 1.998333777184e-12
relative error = 2.5377778273721344116495817032202e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.285
y[1] (analytic) = 78901093.01432091208335867512956
y[1] (numeric) = 78901093.014320912081356340685231
absolute error = 2.002334444329e-12
relative error = 2.5377778276982386903364768808792e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.286
y[1] (analytic) = 79059053.10778966167459203520483
y[1] (numeric) = 79059053.107789661672585692084016
absolute error = 2.006343120814e-12
relative error = 2.5377778280224756361826942310039e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.287
y[1] (analytic) = 79217329.43757625450933742364245
y[1] (numeric) = 79217329.437576254507327063819775
absolute error = 2.010359822675e-12
relative error = 2.5377778283464806430838732930382e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.288
y[1] (analytic) = 79375922.636786220769100699563945
y[1] (numeric) = 79375922.636786220767086314997969
absolute error = 2.014384565976e-12
relative error = 2.5377778286667088708804178036024e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.289
y[1] (analytic) = 79534833.339792568751374042992645
y[1] (numeric) = 79534833.339792568749355625625822
absolute error = 2.018417366823e-12
relative error = 2.5377778289920084771727653024289e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.29
y[1] (analytic) = 79694062.18223832236251497561289
y[1] (numeric) = 79694062.18223832236049251737155
absolute error = 2.022458241340e-12
relative error = 2.5377778293133009816610822135868e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.291
y[1] (analytic) = 79853609.801039063690689510345015
y[1] (numeric) = 79853609.801039063688663003139325
absolute error = 2.026507205690e-12
relative error = 2.5377778296299773188487048254340e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.292
y[1] (analytic) = 80013476.83438548066904972489875
y[1] (numeric) = 80013476.834385480667019160622673
absolute error = 2.030564276077e-12
relative error = 2.5377778299522323655086383404947e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.293
y[1] (analytic) = 80173663.92174591983933641541221
y[1] (numeric) = 80173663.921745919837301785943488
absolute error = 2.034629468722e-12
relative error = 2.5377778302709412128149355683890e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.294
y[1] (analytic) = 80334171.70386894422611788799084
y[1] (numeric) = 80334171.703868944224079185190951
absolute error = 2.038702799889e-12
relative error = 2.5377778305901357680291899308658e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.295
y[1] (analytic) = 80495000.822785896331896388511905
y[1] (numeric) = 80495000.822785896329853604226035
absolute error = 2.042784285870e-12
relative error = 2.5377778309081581800734863180882e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.296
y[1] (analytic) = 80656151.92181346626333415453762
y[1] (numeric) = 80656151.921813466261287280594629
absolute error = 2.046873942991e-12
relative error = 2.5377778312250757018167946249494e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.297
y[1] (analytic) = 80817625.645556264998871597665275
y[1] (numeric) = 80817625.645556264996820625877666
absolute error = 2.050971787609e-12
relative error = 2.5377778315388706569245395522056e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.298
y[1] (analytic) = 80979422.63990940280803069021812
y[1] (numeric) = 80979422.639909402805975612382
absolute error = 2.055077836120e-12
relative error = 2.5377778318552595146708006920320e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.299
y[1] (analytic) = 81141543.55206107283271723692843
y[1] (numeric) = 81141543.552061072830658044823485
absolute error = 2.059192104945e-12
relative error = 2.5377778321702811020119149562993e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.3
y[1] (analytic) = 81303989.030495139840856360266645
y[1] (numeric) = 81303989.030495139838793045656103
absolute error = 2.063314610542e-12
relative error = 2.5377778324850716748146562951886e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.301
y[1] (analytic) = 81466759.724993734162716217410165
y[1] (numeric) = 81466759.724993734160648772040763
absolute error = 2.067445369402e-12
relative error = 2.5377778328008233704542705178584e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.302
y[1] (analytic) = 81629856.28663985082029569760527
y[1] (numeric) = 81629856.286639850818224113207223
absolute error = 2.071584398047e-12
relative error = 2.5377778331162527164142498404216e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.303
y[1] (analytic) = 81793279.36781995386017262093845
y[1] (numeric) = 81793279.367819953858096889225421
absolute error = 2.075731713029e-12
relative error = 2.5377778334263219157867657272258e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.304
y[1] (analytic) = 81957029.62222658590022977338241
y[1] (numeric) = 81957029.622226585898149886051465
absolute error = 2.079887330945e-12
relative error = 2.5377778337404978740550620431086e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1106.3MB, alloc=4.6MB, time=54.57
x[1] = 8.305
y[1] (analytic) = 82121107.704860982900696968500225
y[1] (numeric) = 82121107.704860982898612917231815
absolute error = 2.084051268410e-12
relative error = 2.5377778340496484236161474725321e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.306
y[1] (analytic) = 82285514.272035694169968223462345
y[1] (numeric) = 82285514.272035694167879999920259
absolute error = 2.088223542086e-12
relative error = 2.5377778343613900884223754188711e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.307
y[1] (analytic) = 82450249.981377207615674076138395
y[1] (numeric) = 82450249.981377207613581671969739
absolute error = 2.092404168656e-12
relative error = 2.5377778346683061571380567726732e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.308
y[1] (analytic) = 82615315.491828580251510051053475
y[1] (numeric) = 82615315.491828580249413457888623
absolute error = 2.096593164852e-12
relative error = 2.5377778349819077785649953490917e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.309
y[1] (analytic) = 82780711.463652073970343305030055
y[1] (numeric) = 82780711.463652073968242514482635
absolute error = 2.100790547420e-12
relative error = 2.5377778352900839833543380975100e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.31
y[1] (analytic) = 82946438.55843179659414054845654
y[1] (numeric) = 82946438.558431796592035552123384
absolute error = 2.104996333156e-12
relative error = 2.5377778356006579078023235989919e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.311
y[1] (analytic) = 83112497.43907634821128144541546
y[1] (numeric) = 83112497.439076348209172234876584
absolute error = 2.109210538876e-12
relative error = 2.5377778359050116763944515939406e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.312
y[1] (analytic) = 83278888.769821472811842845453455
y[1] (numeric) = 83278888.769821472809729412272012
absolute error = 2.113433181443e-12
relative error = 2.5377778362105907136885806534882e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.313
y[1] (analytic) = 83445613.216232715231460391665395
y[1] (numeric) = 83445613.216232715229342727387647
absolute error = 2.117664277748e-12
relative error = 2.5377778365178934901648417699399e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.314
y[1] (analytic) = 83612671.445208083414395284081725
y[1] (numeric) = 83612671.445208083412273380237009
absolute error = 2.121903844716e-12
relative error = 2.5377778368276357674835948119383e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.315
y[1] (analytic) = 83780064.124980716006455254175745
y[1] (numeric) = 83780064.124980716004329102276449
absolute error = 2.126151899296e-12
relative error = 2.5377778371287315900157075641262e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.316
y[1] (analytic) = 83947791.925121555288440125731555
y[1] (numeric) = 83947791.925121555286309717273062
absolute error = 2.130408458493e-12
relative error = 2.5377778374364492813665325468140e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.317
y[1] (analytic) = 84115855.51654202546080369941872
y[1] (numeric) = 84115855.516542025458669025879396
absolute error = 2.134673539324e-12
relative error = 2.5377778377397589969734724655421e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.318
y[1] (analytic) = 84284255.571496716290245103292375
y[1] (numeric) = 84284255.571496716288106156133523
absolute error = 2.138947158852e-12
relative error = 2.5377778380418537114069898659356e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.319
y[1] (analytic) = 84452992.763586072128964199162265
y[1] (numeric) = 84452992.763586072126820969828089
absolute error = 2.143229334176e-12
relative error = 2.5377778383480858615388269689075e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.32
y[1] (analytic) = 84622067.76775908631733712543773
y[1] (numeric) = 84622067.767759086315189605355315
absolute error = 2.147520082415e-12
relative error = 2.5377778386469572448995544467029e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.321
y[1] (analytic) = 84791481.260316000980789590743405
y[1] (numeric) = 84791481.260316000978637771322661
absolute error = 2.151819420744e-12
relative error = 2.5377778389526634354478650641081e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.322
y[1] (analytic) = 84961233.91891101223166710939841
y[1] (numeric) = 84961233.918911012229510982032059
absolute error = 2.156127366351e-12
relative error = 2.5377778392541454396251550700013e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.323
y[1] (analytic) = 85131326.42255498078692298984706
y[1] (numeric) = 85131326.422554980784762545910592
absolute error = 2.160443936468e-12
relative error = 2.5377778395516749470901352893083e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.324
y[1] (analytic) = 85301759.4516181480124665504071
y[1] (numeric) = 85301759.451618148010301781258731
absolute error = 2.164769148369e-12
relative error = 2.5377778398543161565744009123988e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.325
y[1] (analytic) = 85472533.687832857405035743349725
y[1] (numeric) = 85472533.687832857402866640330381
absolute error = 2.169103019344e-12
relative error = 2.5377778401493379955277656968015e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.326
y[1] (analytic) = 85643649.814296281522480118430625
y[1] (numeric) = 85643649.814296281520306672863887
absolute error = 2.173445566738e-12
relative error = 2.5377778404478882163595666560967e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.327
y[1] (analytic) = 85815108.515473154373361850639665
y[1] (numeric) = 85815108.515473154371184053831747
absolute error = 2.177796807918e-12
relative error = 2.5377778407462197837206817169648e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.328
y[1] (analytic) = 85986910.47719850927680439421663
y[1] (numeric) = 85986910.477198509274622237456339
absolute error = 2.182156760291e-12
relative error = 2.5377778410466918438726498576841e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.329
y[1] (analytic) = 86159056.38668042220354020597805
y[1] (numeric) = 86159056.386680422201353680536757
absolute error = 2.186525441293e-12
relative error = 2.5377778413448609842008979595134e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.33
y[1] (analytic) = 86331546.932502760609130905803835
y[1] (numeric) = 86331546.932502760606940002935436
absolute error = 2.190902868399e-12
relative error = 2.5377778416410515439748709067883e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.331
y[1] (analytic) = 86504382.80462793777035521082944
y[1] (numeric) = 86504382.80462793776815992177032
absolute error = 2.195289059120e-12
relative error = 2.5377778419367593253613773589584e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.332
y[1] (analytic) = 86677564.69439967263578199256776
y[1] (numeric) = 86677564.694399672633582308536762
absolute error = 2.199684030998e-12
relative error = 2.5377778422287905683873006298220e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.333
y[1] (analytic) = 86851093.294545755201567862932795
y[1] (numeric) = 86851093.294545755199363775131177
absolute error = 2.204087801618e-12
relative error = 2.5377778425230446879953973769805e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=1110.1MB, alloc=4.6MB, time=54.75
TOP MAIN SOLVE Loop
x[1] = 8.334
y[1] (analytic) = 87024969.299180817423540796042565
y[1] (numeric) = 87024969.29918081742133229565397
absolute error = 2.208500388595e-12
relative error = 2.5377778428194045153401953630126e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.335
y[1] (analytic) = 87199193.403809109676653437830345
y[1] (numeric) = 87199193.403809109674440516020773
absolute error = 2.212921809572e-12
relative error = 2.5377778431094217651400341001313e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.336
y[1] (analytic) = 87373766.30532728277291194497942
y[1] (numeric) = 87373766.305327282770694592897175
absolute error = 2.217352082245e-12
relative error = 2.5377778434049321714239904210260e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.337
y[1] (analytic) = 87548688.70202717554890842860598
y[1] (numeric) = 87548688.702027175546686637381653
absolute error = 2.221791224327e-12
relative error = 2.5377778436966524069331559311222e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.338
y[1] (analytic) = 87723961.293598608034107356536855
y[1] (numeric) = 87723961.293598608031881117283276
absolute error = 2.226239253579e-12
relative error = 2.5377778439896479082247701286403e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.339
y[1] (analytic) = 87899584.781132180211058591051795
y[1] (numeric) = 87899584.781132180208827894864005
absolute error = 2.230696187790e-12
relative error = 2.5377778442803558615927611038750e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.34
y[1] (analytic) = 88075559.86712207637873210667421
y[1] (numeric) = 88075559.867122076376496944629423
absolute error = 2.235162044787e-12
relative error = 2.5377778445679442810042327708522e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.341
y[1] (analytic) = 88251887.255468875130191845088355
y[1] (numeric) = 88251887.255468875127952208245918
absolute error = 2.239636842437e-12
relative error = 2.5377778448564703057759548469065e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.342
y[1] (analytic) = 88428567.65148236495584862162502
y[1] (numeric) = 88428567.65148236495360450102638
absolute error = 2.244120598640e-12
relative error = 2.5377778451468345937482263675472e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.343
y[1] (analytic) = 88605601.7618843654835545000815
y[1] (numeric) = 88605601.761884365481305886750172
absolute error = 2.248613331328e-12
relative error = 2.5377778454356032920771378781843e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.344
y[1] (analytic) = 88782990.294811554366823600015
y[1] (numeric) = 88782990.294811554364570484956527
absolute error = 2.253115058473e-12
relative error = 2.5377778457239812340677423897401e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.345
y[1] (analytic) = 88960733.95981829983248689316187
y[1] (numeric) = 88960733.959818299830229267363788
absolute error = 2.257625798082e-12
relative error = 2.5377778460120644744254698094384e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.346
y[1] (analytic) = 89138833.467879498899111183378605
y[1] (numeric) = 89138833.467879498896849037810408
absolute error = 2.262145568197e-12
relative error = 2.5377778462987705140414576813608e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.347
y[1] (analytic) = 89317289.53139342127753514756482
y[1] (numeric) = 89317289.53139342127526847317792
absolute error = 2.266674386900e-12
relative error = 2.5377778465873672863000037227977e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.348
y[1] (analytic) = 89496102.864184558964898043504205
y[1] (numeric) = 89496102.864184558962626831231904
absolute error = 2.271212272301e-12
relative error = 2.5377778468719405304387839238565e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.349
y[1] (analytic) = 89675274.18150648154355946453781
y[1] (numeric) = 89675274.181506481541283705295254
absolute error = 2.275759242556e-12
relative error = 2.5377778471574770100312972264125e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.35
y[1] (analytic) = 89854804.200044697196331340555665
y[1] (numeric) = 89854804.200044697194051025239815
absolute error = 2.280315315850e-12
relative error = 2.5377778474407556323550211878931e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.351
y[1] (analytic) = 90034693.6379195194494662500495
y[1] (numeric) = 90034693.63791951944718136953909
absolute error = 2.284880510410e-12
relative error = 2.5377778477247873207042860169854e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.352
y[1] (analytic) = 90214943.214688939654869019002085
y[1] (numeric) = 90214943.214688939652579564157589
absolute error = 2.289454844496e-12
relative error = 2.5377778480086959067457119962537e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.353
y[1] (analytic) = 90395553.651351505223021539289595
y[1] (numeric) = 90395553.65135150522072750095319
absolute error = 2.294038336405e-12
relative error = 2.5377778482921010350287827667895e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.354
y[1] (analytic) = 90576525.6703492036181337421339
y[1] (numeric) = 90576525.670349203615835111129431
absolute error = 2.298631004469e-12
relative error = 2.5377778485728243631500146694805e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.355
y[1] (analytic) = 90757859.995570352127056711054015
y[1] (numeric) = 90757859.995570352124753478186955
absolute error = 2.303232867060e-12
relative error = 2.5377778488523358996143292179007e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.356
y[1] (analytic) = 90939557.352352493413517013822175
y[1] (numeric) = 90939557.352352493411209169879584
absolute error = 2.307843942591e-12
relative error = 2.5377778491367364713144433783557e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.357
y[1] (analytic) = 91121618.46748529686925447422259
y[1] (numeric) = 91121618.467485296866942009973091
absolute error = 2.312464249499e-12
relative error = 2.5377778494179742141609046777798e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.358
y[1] (analytic) = 91304044.06921346577366879203249
y[1] (numeric) = 91304044.069213465771351698226224
absolute error = 2.317093806266e-12
relative error = 2.5377778496969049876786233324470e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.359
y[1] (analytic) = 91486834.88723965027360365368809
y[1] (numeric) = 91486834.887239650271281921056677
absolute error = 2.321732631413e-12
relative error = 2.5377778499765645832130887706239e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.36
y[1] (analytic) = 91669991.652727366194920256655915
y[1] (numeric) = 91669991.652727366192593875912422
absolute error = 2.326380743493e-12
relative error = 2.5377778502544300218772700881081e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.361
y[1] (analytic) = 91853515.098303919697535497695355
y[1] (numeric) = 91853515.098303919695204459534253
absolute error = 2.331038161102e-12
relative error = 2.5377778505343697513468599784647e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1113.9MB, alloc=4.6MB, time=54.94
x[1] = 8.362
y[1] (analytic) = 92037405.958063337785623449064695
y[1] (numeric) = 92037405.95806333778328774416183
absolute error = 2.335704902865e-12
relative error = 2.5377778508112878855429657430550e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.363
y[1] (analytic) = 92221664.967569304684702167383935
y[1] (numeric) = 92221664.967569304682361786396479
absolute error = 2.340380987456e-12
relative error = 2.5377778510928196781819381355101e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.364
y[1] (analytic) = 92406292.86385810409735134741672
y[1] (numeric) = 92406292.863858104095006280983153
absolute error = 2.345066433567e-12
relative error = 2.5377778513655762391059193885170e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.365
y[1] (analytic) = 92591290.38544156734932984756513
y[1] (numeric) = 92591290.385441567346980086305176
absolute error = 2.349761259954e-12
relative error = 2.5377778516449541558126449309770e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.366
y[1] (analytic) = 92776658.27231002743788567547812
y[1] (numeric) = 92776658.272310027435531209992736
absolute error = 2.354465485384e-12
relative error = 2.5377778519176412186893878960591e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.367
y[1] (analytic) = 92962397.265935278994074630952485
y[1] (numeric) = 92962397.265935278991715451823799
absolute error = 2.359179128686e-12
relative error = 2.5377778521966826958118527725751e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.368
y[1] (analytic) = 93148508.109273544170927459347335
y[1] (numeric) = 93148508.109273544168563557138632
absolute error = 2.363902208703e-12
relative error = 2.5377778524696071325389447529232e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.369
y[1] (analytic) = 93334991.546768444469329072135405
y[1] (numeric) = 93334991.546768444466960437391072
absolute error = 2.368634744333e-12
relative error = 2.5377778527425277305405649552380e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.37
y[1] (analytic) = 93521848.324353978513497142070355
y[1] (numeric) = 93521848.324353978511123765315849
absolute error = 2.373376754506e-12
relative error = 2.5377778530152831966178846855939e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.371
y[1] (analytic) = 93709079.189457505787971178854915
y[1] (numeric) = 93709079.189457505785593050596721
absolute error = 2.378128258194e-12
relative error = 2.5377778532920907020260934656072e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.372
y[1] (analytic) = 93896684.89100273634804703724443
y[1] (numeric) = 93896684.891002736345664147970036
absolute error = 2.382889274394e-12
relative error = 2.5377778535633163385366380990953e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.373
y[1] (analytic) = 94084666.179412726515615703310185
y[1] (numeric) = 94084666.179412726513228043488031
absolute error = 2.387659822154e-12
relative error = 2.5377778538331672023243810002789e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.374
y[1] (analytic) = 94273023.806612880572389146211845
y[1] (numeric) = 94273023.806612880569996706291283
absolute error = 2.392439920562e-12
relative error = 2.5377778541078044653907779164586e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.375
y[1] (analytic) = 94461758.5260339584625200123847
y[1] (numeric) = 94461758.526033958460122782795969
absolute error = 2.397229588731e-12
relative error = 2.5377778543793634410477811660881e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.376
y[1] (analytic) = 94650871.092615089516645976630805
y[1] (numeric) = 94650871.092615089514243947784986
absolute error = 2.402028845819e-12
relative error = 2.5377778546471429387954927001309e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.377
y[1] (analytic) = 94840362.262806792209413650309665
y[1] (numeric) = 94840362.262806792207006812598638
absolute error = 2.406837711027e-12
relative error = 2.5377778549153444037846627092519e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.378
y[1] (analytic) = 95030232.794573999962561080750455
y[1] (numeric) = 95030232.794573999960149424546859
absolute error = 2.411656203596e-12
relative error = 2.5377778551897852736531593037261e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.379
y[1] (analytic) = 95220483.44739909300566205825017
y[1] (numeric) = 95220483.447399093003245573907382
absolute error = 2.416484342788e-12
relative error = 2.5377778554578481734681453087678e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.38
y[1] (analytic) = 95411114.98228493630665967767748
y[1] (numeric) = 95411114.982284936304238355529558
absolute error = 2.421322147922e-12
relative error = 2.5377778557263154964045887761496e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.381
y[1] (analytic) = 95602128.161757923584340880866995
y[1] (numeric) = 95602128.161757923581914711228649
absolute error = 2.426169638346e-12
relative error = 2.5377778559918072482282487132007e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.382
y[1] (analytic) = 95793523.7498710274149280337609
y[1] (numeric) = 95793523.749871027412497006927445
absolute error = 2.431026833455e-12
relative error = 2.5377778562595919097345053279516e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.383
y[1] (analytic) = 95985302.512206855444987968731005
y[1] (numeric) = 95985302.512206855442552074978333
absolute error = 2.435893752672e-12
relative error = 2.5377778565236246721619145398591e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.384
y[1] (analytic) = 96177465.21588071272288334779239
y[1] (numeric) = 96177465.215880712720442577376919
absolute error = 2.440770415471e-12
relative error = 2.5377778567904935687763953902406e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.385
y[1] (analytic) = 96370012.629543670161015676597145
y[1] (numeric) = 96370012.629543670158570019755788
absolute error = 2.445656841357e-12
relative error = 2.5377778570584593661154682371760e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.386
y[1] (analytic) = 96562945.523385639141133822271595
y[1] (numeric) = 96562945.523385639138683269221723
absolute error = 2.450553049872e-12
relative error = 2.5377778573236712503583357334945e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.387
y[1] (analytic) = 96756264.66913845227500646043054
y[1] (numeric) = 96756264.66913845227255100136994
absolute error = 2.455459060600e-12
relative error = 2.5377778575852748113301217250228e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.388
y[1] (analytic) = 96949970.84007895033278149816597
y[1] (numeric) = 96949970.840078950330321123272801
absolute error = 2.460374893169e-12
relative error = 2.5377778578473643777487641896799e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.389
y[1] (analytic) = 97144064.811032075351380190563855
y[1] (numeric) = 97144064.811032075348914889996608
absolute error = 2.465300567247e-12
relative error = 2.5377778581147352137998451874862e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.39
y[1] (analytic) = 97338547.358373969935298388449615
y[1] (numeric) = 97338547.358373969932828152347088
absolute error = 2.470236102527e-12
relative error = 2.5377778583773854162770371674296e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=1117.7MB, alloc=4.6MB, time=55.12
TOP MAIN SOLVE Loop
x[1] = 8.391
y[1] (analytic) = 97533419.26003508276221212469971
y[1] (numeric) = 97533419.260035082759736943180954
absolute error = 2.475181518756e-12
relative error = 2.5377778586403161412434022235572e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.392
y[1] (analytic) = 97728681.29550328030580956568229
y[1] (numeric) = 97728681.295503280303329428846576
absolute error = 2.480136835714e-12
relative error = 2.5377778589018132558962935364519e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.393
y[1] (analytic) = 97924334.24582696478829622330374
y[1] (numeric) = 97924334.245826964785811121230517
absolute error = 2.485102073223e-12
relative error = 2.5377778591626241907870602514806e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.394
y[1] (analytic) = 98120378.89361819837504524183921
y[1] (numeric) = 98120378.893618198372555164588065
absolute error = 2.490077251145e-12
relative error = 2.5377778594238143006910576242178e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.395
y[1] (analytic) = 98316816.023055833623889542313875
y[1] (numeric) = 98316816.023055833621394479924495
absolute error = 2.495062389380e-12
relative error = 2.5377778596846486148688973155819e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.396
y[1] (analytic) = 98513646.41988865020157762577744
y[1] (numeric) = 98513646.419888650199077568269573
absolute error = 2.500057507867e-12
relative error = 2.5377778599435440637011543671730e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.397
y[1] (analytic) = 98710870.87143849787993990547739
y[1] (numeric) = 98710870.871438497877434842850803
absolute error = 2.505062626587e-12
relative error = 2.5377778602010363555041177338344e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.398
y[1] (analytic) = 98908490.166603445824337556786975
y[1] (numeric) = 98908490.166603445821827479021412
absolute error = 2.510077765563e-12
relative error = 2.5377778604596780692001540911291e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.399
y[1] (analytic) = 99106505.095860938186991042882375
y[1] (numeric) = 99106505.09586093818447593993752
absolute error = 2.515102944855e-12
relative error = 2.5377778607188926030769813945931e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.4
y[1] (analytic) = 99304916.45127095601781069369062
y[1] (numeric) = 99304916.45127095601529055550606
absolute error = 2.520138184560e-12
relative error = 2.5377778609749245295873482373079e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.401
y[1] (analytic) = 99503725.02647918550537698564646
y[1] (numeric) = 99503725.026479185502851802141638
absolute error = 2.525183504822e-12
relative error = 2.5377778612308404458328542210872e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.402
y[1] (analytic) = 99702931.61672019256074349040361
y[1] (numeric) = 99702931.616720192558213251477786
absolute error = 2.530238925824e-12
relative error = 2.5377778614883563311344283527469e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.403
y[1] (analytic) = 99902537.018820603756760831944955
y[1] (numeric) = 99902537.018820603754225527477169
absolute error = 2.535304467786e-12
relative error = 2.5377778617457681624381883769227e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.404
y[1] (analytic) = 100102542.0312022936356454136288
y[1] (numeric) = 100102542.03120229363310503347784
absolute error = 2.54038015096e-12
relative error = 2.5377778619929103295704197920321e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.405
y[1] (analytic) = 100302947.45388557839754214969585
y[1] (numeric) = 100302947.45388557839499668370018
absolute error = 2.54546599567e-12
relative error = 2.5377778622510386175164852252885e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.406
y[1] (analytic) = 100503754.08849241598285595974596
y[1] (numeric) = 100503754.08849241598030539772371
absolute error = 2.55056202225e-12
relative error = 2.5377778625107466704041320387165e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.407
y[1] (analytic) = 100704962.73824961256115235977764
y[1] (numeric) = 100704962.73824961255859669152656
absolute error = 2.55566825108e-12
relative error = 2.5377778627679386448236782328107e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.408
y[1] (analytic) = 100906574.20799203543945310966775
y[1] (numeric) = 100906574.20799203543689232496518
absolute error = 2.56078470257e-12
relative error = 2.5377778630078394771366816264343e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.409
y[1] (analytic) = 101108589.30416583240277855455812
y[1] (numeric) = 101108589.3041658324002126431609
absolute error = 2.56591139722e-12
relative error = 2.5377778632643630677790417190344e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.41
y[1] (analytic) = 101311008.83483165749981402661056
y[1] (numeric) = 101311008.83483165749724297825505
absolute error = 2.57104835551e-12
relative error = 2.5377778635109691124463083574893e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.411
y[1] (analytic) = 101513833.60966790328660345409734
y[1] (numeric) = 101513833.60966790328402725849934
absolute error = 2.57619559800e-12
relative error = 2.5377778637596936251483282100879e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.412
y[1] (analytic) = 101717064.4399739395411991569109
y[1] (numeric) = 101717064.43997393953861780376561
absolute error = 2.58135314529e-12
relative error = 2.5377778640213590463648561445115e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.413
y[1] (analytic) = 101920702.13867335846222269141032
y[1] (numeric) = 101920702.13867335845963617039234
absolute error = 2.58652101798e-12
relative error = 2.5377778642662588855707759903172e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.414
y[1] (analytic) = 102124747.52031722636431754317512
y[1] (numeric) = 102124747.52031722636172584393836
absolute error = 2.59169923676e-12
relative error = 2.5377778645126088822333974315738e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.415
y[1] (analytic) = 102329201.40108734188350045381235
y[1] (numeric) = 102329201.40108734188090356599
absolute error = 2.59688782235e-12
relative error = 2.5377778647673543540096278417009e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.416
y[1] (analytic) = 102534064.59879950070544420756686
y[1] (numeric) = 102534064.59879950070284212077136
absolute error = 2.60208679550e-12
relative error = 2.5377778650262012585493783266714e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.417
y[1] (analytic) = 102739337.93290676682975079521871
y[1] (numeric) = 102739337.93290676682714349904172
absolute error = 2.60729617699e-12
relative error = 2.5377778652736473934560693471024e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.418
y[1] (analytic) = 102945022.22450275038330001672222
y[1] (numeric) = 102945022.22450275038068750073455
absolute error = 2.61251598767e-12
relative error = 2.5377778655218694239385351813619e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1121.5MB, alloc=4.6MB, time=55.30
x[1] = 8.419
y[1] (analytic) = 103151118.29632489199578478035123
y[1] (numeric) = 103151118.29632489199316703410282
absolute error = 2.61774624841e-12
relative error = 2.5377778657618936133955782080718e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.42
y[1] (analytic) = 103357626.97275775375057060487123
y[1] (numeric) = 103357626.97275775374794761789108
absolute error = 2.62298698015e-12
relative error = 2.5377778660121015505924212782942e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.421
y[1] (analytic) = 103564549.07983631672404313256406
y[1] (numeric) = 103564549.07983631672141489436022
absolute error = 2.62823820384e-12
relative error = 2.5377778662599415413280555388352e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.422
y[1] (analytic) = 103771885.44524928512663381489214
y[1] (numeric) = 103771885.44524928512400031495164
absolute error = 2.63349994050e-12
relative error = 2.5377778665199752237495454652437e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.423
y[1] (analytic) = 103979636.8983423970587403393103
y[1] (numeric) = 103979636.89834239705610156709916
absolute error = 2.63877221114e-12
relative error = 2.5377778667565882609482298354098e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.424
y[1] (analytic) = 104187804.27012174189478482532155
y[1] (numeric) = 104187804.27012174189214077028466
absolute error = 2.64405503689e-12
relative error = 2.5377778670091848948217335282654e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.425
y[1] (analytic) = 104396388.39325708430867933043232
y[1] (numeric) = 104396388.39325708430602998199347
absolute error = 2.64934843885e-12
relative error = 2.5377778672476759952947822243199e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.426
y[1] (analytic) = 104605390.10208519495399477230176
y[1] (numeric) = 104605390.10208519495134011986353
absolute error = 2.65465243823e-12
relative error = 2.5377778675069272400363137835659e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.427
y[1] (analytic) = 104814810.23261318781215599220112
y[1] (numeric) = 104814810.23261318780949602514492
absolute error = 2.65996705620e-12
relative error = 2.5377778677429210645440575842687e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.428
y[1] (analytic) = 105024649.62252186422201235701388
y[1] (numeric) = 105024649.62252186421934706469983
absolute error = 2.66529231405e-12
relative error = 2.5377778679858076996773492592402e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.429
y[1] (analytic) = 105234909.11116906360416002251712
y[1] (numeric) = 105234909.11116906360148939428405
absolute error = 2.67062823307e-12
relative error = 2.5377778682250545848246922955090e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.43
y[1] (analytic) = 105445589.53959302089341875970134
y[1] (numeric) = 105445589.53959302089074278486673
absolute error = 2.67597483461e-12
relative error = 2.5377778684666721677433774874585e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.431
y[1] (analytic) = 105656691.75051573069289307851226
y[1] (numeric) = 105656691.75051573069021174637221
absolute error = 2.68133214005e-12
relative error = 2.5377778687045744081927898316338e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.432
y[1] (analytic) = 105868216.58834631816307426974486
y[1] (numeric) = 105868216.58834631816038756957402
absolute error = 2.68670017084e-12
relative error = 2.5377778689584014004976882589207e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.433
y[1] (analytic) = 106080164.89918441665946692599214
y[1] (numeric) = 106080164.89918441665677484704372
absolute error = 2.69207894842e-12
relative error = 2.5377778691977671440449582244915e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.434
y[1] (analytic) = 106292537.53082355213225049665846
y[1] (numeric) = 106292537.53082355212955302816415
absolute error = 2.69746849431e-12
relative error = 2.5377778694273497002706750946736e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.435
y[1] (analytic) = 106505335.33275453430151348019596
y[1] (numeric) = 106505335.33275453429881061136587
absolute error = 2.70286883009e-12
relative error = 2.5377778696676829082603533574564e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.436
y[1] (analytic) = 106718559.1561688546216249590225
y[1] (numeric) = 106718559.15616885461891667904515
absolute error = 2.70827997735e-12
relative error = 2.5377778699080647891089906127508e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.437
y[1] (analytic) = 106932209.85396209104833533913795
y[1] (numeric) = 106932209.85396209104562163718022
absolute error = 2.71370195773e-12
relative error = 2.5377778701441948458716731821915e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.438
y[1] (analytic) = 107146288.2807373196222253673814
y[1] (numeric) = 107146288.28073731961950623258847
absolute error = 2.71913479293e-12
relative error = 2.5377778703873627695889242271373e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.439
y[1] (analytic) = 107360795.29280853288214976467408
y[1] (numeric) = 107360795.29280853287942518616942
absolute error = 2.72457850466e-12
relative error = 2.5377778706176401257429465766947e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.44
y[1] (analytic) = 107575731.7482040651223491335806
y[1] (numeric) = 107575731.74820406511961910046587
absolute error = 2.73003311473e-12
relative error = 2.5377778708677729611634455845783e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.441
y[1] (analytic) = 107791098.50667002450693117320286
y[1] (numeric) = 107791098.50667002450419567455794
absolute error = 2.73549864492e-12
relative error = 2.5377778711019719258784826956846e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.442
y[1] (analytic) = 108006896.42967373205544966390802
y[1] (numeric) = 108006896.4296737320527086887909
absolute error = 2.74097511712e-12
relative error = 2.5377778713461361845911289937185e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.443
y[1] (analytic) = 108223126.38040716751333716879135
y[1] (numeric) = 108223126.38040716751059070623814
absolute error = 2.74646255321e-12
relative error = 2.5377778715762757406919054755105e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.444
y[1] (analytic) = 108439789.22379042212097493819972
y[1] (numeric) = 108439789.22379042211822297722455
absolute error = 2.75196097517e-12
relative error = 2.5377778718203667734548127013202e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.445
y[1] (analytic) = 108656885.82647515829521109819857
y[1] (numeric) = 108656885.82647515829245362779361
absolute error = 2.75747040496e-12
relative error = 2.5377778720473132602836239704505e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.446
y[1] (analytic) = 108874417.05684807623716585366847
y[1] (numeric) = 108874417.05684807623440286280382
absolute error = 2.76299086465e-12
relative error = 2.5377778722868588131520750268338e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.447
y[1] (analytic) = 109092383.78503438748019014187384
y[1] (numeric) = 109092383.78503438747742161949754
absolute error = 2.76852237630e-12
relative error = 2.5377778725189008135090846562949e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=1125.3MB, alloc=4.6MB, time=55.49
TOP MAIN SOLVE Loop
x[1] = 8.448
y[1] (analytic) = 109310786.88290129539187193297018
y[1] (numeric) = 109310786.88290129538909786800813
absolute error = 2.77406496205e-12
relative error = 2.5377778727562404384018076419077e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.449
y[1] (analytic) = 109529627.22406148264401219011536
y[1] (numeric) = 109529627.2240614826412325714713
absolute error = 2.77961864406e-12
relative error = 2.5377778729893942499852452529198e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.45
y[1] (analytic) = 109748905.68387660566452037373906
y[1] (numeric) = 109748905.68387660566173519029452
absolute error = 2.78518344454e-12
relative error = 2.5377778732140706290949858603999e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.451
y[1] (analytic) = 109968623.13946079608520730221148
y[1] (numeric) = 109968623.13946079608241654282571
absolute error = 2.79075938577e-12
relative error = 2.5377778734492244890740032360181e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.452
y[1] (analytic) = 110188780.46968416919948116475132
y[1] (numeric) = 110188780.46968416919668481826129
absolute error = 2.79634649003e-12
relative error = 2.5377778736732170715654459198542e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.453
y[1] (analytic) = 110409378.55517633944398052203526
y[1] (numeric) = 110409378.55517633944117857725557
absolute error = 2.80194477969e-12
relative error = 2.5377778739056547320023035472835e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.454
y[1] (analytic) = 110630418.27832994291820622572793
y[1] (numeric) = 110630418.2783299429153986714508
absolute error = 2.80755427713e-12
relative error = 2.5377778741345841172997688474147e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.455
y[1] (analytic) = 110851900.52330416695624234015704
y[1] (numeric) = 110851900.52330416695342916515225
absolute error = 2.81317500479e-12
relative error = 2.5377778743618310875780978684493e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.456
y[1] (analytic) = 111073826.17602828676468435772324
y[1] (numeric) = 111073826.17602828676186555073808
absolute error = 2.81880698516e-12
relative error = 2.5377778745937797131966532488620e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.457
y[1] (analytic) = 111296196.1242052091409212644732
y[1] (numeric) = 111296196.12420520913809681423244
absolute error = 2.82445024076e-12
relative error = 2.5377778748232757955570406438329e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.458
y[1] (analytic) = 111519011.2573150232859463336891
y[1] (numeric) = 111519011.25731502328311622889494
absolute error = 2.83010479416e-12
relative error = 2.5377778750476152177099515801179e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.459
y[1] (analytic) = 111742272.46661855872589990347214
y[1] (numeric) = 111742272.46661855872306413280415
absolute error = 2.83577066799e-12
relative error = 2.5377778752773681339824369830997e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.46
y[1] (analytic) = 111965980.645160950356575829235
y[1] (numeric) = 111965980.64516095035373438135009
absolute error = 2.84144788491e-12
relative error = 2.5377778755093718113527135466547e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.461
y[1] (analytic) = 112190136.68777521062515179388258
y[1] (numeric) = 112190136.68777521062230465741496
absolute error = 2.84713646762e-12
relative error = 2.5377778757357000351263377767211e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.462
y[1] (analytic) = 112414741.49108580886343220736507
y[1] (numeric) = 112414741.49108580886057937092619
absolute error = 2.85283643888e-12
relative error = 2.5377778759614212789741027036926e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.463
y[1] (analytic) = 112639795.95351225778692103334745
y[1] (numeric) = 112639795.95351225778406248552596
absolute error = 2.85854782149e-12
relative error = 2.5377778761866326862152627799245e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.464
y[1] (analytic) = 112865300.97527270717407054406865
y[1] (numeric) = 112865300.97527270717120627343035
absolute error = 2.86427063830e-12
relative error = 2.5377778764152888466339735479672e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.465
y[1] (analytic) = 113091257.45838754474008072517708
y[1] (numeric) = 113091257.45838754473721072026488
absolute error = 2.87000491220e-12
relative error = 2.5377778766462400362959497535794e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.466
y[1] (analytic) = 113317666.30668300421965283054118
y[1] (numeric) = 113317666.30668300421677707987506
absolute error = 2.87575066612e-12
relative error = 2.5377778768732022479032890915127e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.467
y[1] (analytic) = 113544528.42579478067312942286015
y[1] (numeric) = 113544528.42579478067024791493711
absolute error = 2.88150792304e-12
relative error = 2.5377778770935348414662337140573e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.468
y[1] (analytic) = 113771844.72317165303048212945524
y[1] (numeric) = 113771844.72317165302759485274924
absolute error = 2.88727670600e-12
relative error = 2.5377778773169131146062804806766e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.469
y[1] (analytic) = 113999616.10807911388763729402284
y[1] (numeric) = 113999616.10807911388474423698477
absolute error = 2.89305703807e-12
relative error = 2.5377778775388086899516981325951e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.47
y[1] (analytic) = 114227843.49160300656965871449164
y[1] (numeric) = 114227843.49160300656675986554926
absolute error = 2.89884894238e-12
relative error = 2.5377778777668135192211116460940e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.471
y[1] (analytic) = 114456527.78665316947533572456418
y[1] (numeric) = 114456527.78665316947243107212209
absolute error = 2.90465244209e-12
relative error = 2.5377778779942273528136075873013e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.472
y[1] (analytic) = 114685669.9079670877177540021544
y[1] (numeric) = 114685669.907967087714843534594
absolute error = 2.91046756040e-12
relative error = 2.5377778782088388972834918033039e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.473
y[1] (analytic) = 114915270.77211355207545567187312
y[1] (numeric) = 114915270.77211355207253937755252
absolute error = 2.91629432060e-12
relative error = 2.5377778784364106519694817798805e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.474
y[1] (analytic) = 115145331.29749632526882451108046
y[1] (numeric) = 115145331.29749632526590237833448
absolute error = 2.92213274598e-12
relative error = 2.5377778786620571419393912365486e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.475
y[1] (analytic) = 115375852.40435781557636136993458
y[1] (numeric) = 115375852.4043578155734333870747
absolute error = 2.92798285988e-12
relative error = 2.5377778788739057847263885125177e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.476
y[1] (analytic) = 115606835.01478275780554427543638
y[1] (numeric) = 115606835.01478275780261043075065
absolute error = 2.93384468573e-12
relative error = 2.5377778790975866111119861987861e-18 %
Correct digits = 19
h = 0.001
memory used=1129.1MB, alloc=4.6MB, time=55.68
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.477
y[1] (analytic) = 115838280.05270190163299710781856
y[1] (numeric) = 115838280.0527019016300573895716
absolute error = 2.93971824696e-12
relative error = 2.5377778793180827601875856320426e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.478
y[1] (analytic) = 116070188.44389570732872021487168
y[1] (numeric) = 116070188.44389570732577461130461
absolute error = 2.94560356707e-12
relative error = 2.5377778795403630527267761280275e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.479
y[1] (analytic) = 116302561.11599804887916586605714
y[1] (numeric) = 116302561.11599804887621436538754
absolute error = 2.95150066960e-12
relative error = 2.5377778797633073398852322695326e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.48
y[1] (analytic) = 116535398.99849992452397104364649
y[1] (numeric) = 116535398.99849992452101363406836
absolute error = 2.95740957813e-12
relative error = 2.5377778799796863299997478331475e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.481
y[1] (analytic) = 116768703.0227531747211897227656
y[1] (numeric) = 116768703.02275317471822639244929
absolute error = 2.96333031631e-12
relative error = 2.5377778802018336753144992747164e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.482
y[1] (analytic) = 117002474.12197420755589650623005
y[1] (numeric) = 117002474.12197420755292724332224
absolute error = 2.96926290781e-12
relative error = 2.5377778804186358835716089453543e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.483
y[1] (analytic) = 117236713.23124773160706325355359
y[1] (numeric) = 117236713.23124773160408804617722
absolute error = 2.97520737637e-12
relative error = 2.5377778806383340155553894646130e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.484
y[1] (analytic) = 117471421.28753049628764017661322
y[1] (numeric) = 117471421.28753049628465901286746
absolute error = 2.98116374576e-12
relative error = 2.5377778808541991370837026018228e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.485
y[1] (analytic) = 117706599.22965503967280276728254
y[1] (numeric) = 117706599.22965503966981563524273
absolute error = 2.98713203981e-12
relative error = 2.5377778810700878379986803857837e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.486
y[1] (analytic) = 117942247.99833344383135587501801
y[1] (numeric) = 117942247.99833344382836276273561
absolute error = 2.99311228240e-12
relative error = 2.5377778812917772211931676023993e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.487
y[1] (analytic) = 118178368.53616109767531626502169
y[1] (numeric) = 118178368.53616109767231716052425
absolute error = 2.99910449744e-12
relative error = 2.5377778815099411881664437585671e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.488
y[1] (analytic) = 118414961.78762046734272506032778
y[1] (numeric) = 118414961.78762046733971995161887
absolute error = 3.00510870891e-12
relative error = 2.5377778817339998007231217139932e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.489
y[1] (analytic) = 118652028.69908487412877160408982
y[1] (numeric) = 118652028.69908487412576047914901
absolute error = 3.01112494081e-12
relative error = 2.5377778819497115450096251328993e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.49
y[1] (analytic) = 118889570.21882227998034047160142
y[1] (numeric) = 118889570.21882227997732331838421
absolute error = 3.01715321721e-12
relative error = 2.5377778821613843648502224515638e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.491
y[1] (analytic) = 119127587.29699908056912361528571
y[1] (numeric) = 119127587.29699908056610042172348
absolute error = 3.02319356223e-12
relative error = 2.5377778823748213941915948280855e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.492
y[1] (analytic) = 119366080.88568390595846994015964
y[1] (numeric) = 119366080.88568390595544069415961
absolute error = 3.02924600003e-12
relative error = 2.5377778825888474556062682196310e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.493
y[1] (analytic) = 119605051.93885142887917498223894
y[1] (numeric) = 119605051.93885142887613967168412
absolute error = 3.03531055482e-12
relative error = 2.5377778828036585892331391993949e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.494
y[1] (analytic) = 119844501.41238618062944379812016
y[1] (numeric) = 119844501.4123861806264024108693
absolute error = 3.04138725086e-12
relative error = 2.5377778830207275971319429660296e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.495
y[1] (analytic) = 120084430.26408637461429067067922
y[1] (numeric) = 120084430.26408637461124319456677
absolute error = 3.04747611245e-12
relative error = 2.5377778832343830023617809806992e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.496
y[1] (analytic) = 120324839.45366773753966979358338
y[1] (numeric) = 120324839.45366773753661621641944
absolute error = 3.05357716394e-12
relative error = 2.5377778834401103935116279376764e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.497
y[1] (analytic) = 120565729.94276734827666171624759
y[1] (numeric) = 120565729.94276734827360202581783
absolute error = 3.05969042976e-12
relative error = 2.5377778836593429805191382211539e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.498
y[1] (analytic) = 120807102.6949474844110710110994
y[1] (numeric) = 120807102.69494748440800519516507
absolute error = 3.06581593433e-12
relative error = 2.5377778838646228233686894635137e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.499
y[1] (analytic) = 121048958.67569947649382136667208
y[1] (numeric) = 121048958.6756994764907494129699
absolute error = 3.07195370218e-12
relative error = 2.5377778840791410387037508789761e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.5
y[1] (analytic) = 121291298.85244757000756511324502
y[1] (numeric) = 121291298.85244757000448700948718
absolute error = 3.07810375784e-12
relative error = 2.5377778842854613471274642573859e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.501
y[1] (analytic) = 121534124.19455279506495505261908
y[1] (numeric) = 121534124.19455279506187078649315
absolute error = 3.08426612593e-12
relative error = 2.5377778844998974881862502290851e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.502
y[1] (analytic) = 121777435.67331684385405739027352
y[1] (numeric) = 121777435.67331684385096694944244
absolute error = 3.09044083108e-12
relative error = 2.5377778847064023336249383272822e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.503
y[1] (analytic) = 122021234.26198595584641555672653
y[1] (numeric) = 122021234.26198595584331892882852
absolute error = 3.09662789801e-12
relative error = 2.5377778849223720774100479029703e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.504
y[1] (analytic) = 122265520.9357548107833057555345
y[1] (numeric) = 122265520.93575481078020292818305
absolute error = 3.10282735145e-12
relative error = 2.5377778851328006071335427961307e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1133.0MB, alloc=4.6MB, time=55.86
x[1] = 8.505
y[1] (analytic) = 122510296.67177042945575618814324
y[1] (numeric) = 122510296.67177042945264714892704
absolute error = 3.10903921620e-12
relative error = 2.5377778853394971807281013579581e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.506
y[1] (analytic) = 122755562.44913608229393308086891
y[1] (numeric) = 122755562.44913608229081781735179
absolute error = 3.11526351712e-12
relative error = 2.5377778855526919647900162268805e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.507
y[1] (analytic) = 123001319.24891520578152787676416
y[1] (numeric) = 123001319.24891520577840637648507
absolute error = 3.12150027909e-12
relative error = 2.5377778857583510575089792598275e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.508
y[1] (analytic) = 123247568.05413532671081125514035
y[1] (numeric) = 123247568.05413532670768350561328
absolute error = 3.12774952707e-12
relative error = 2.5377778859670201770123646827434e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.509
y[1] (analytic) = 123494309.84979199429405100419408
y[1] (numeric) = 123494309.84979199429091699290802
absolute error = 3.13401128606e-12
relative error = 2.5377778861811087102549352952662e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.51
y[1] (analytic) = 123741545.62285272014702219765235
y[1] (numeric) = 123741545.62285272014388191207127
absolute error = 3.14028558108e-12
relative error = 2.5377778863787270503212904329009e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.511
y[1] (analytic) = 123989276.36226092616036961473056
y[1] (numeric) = 123989276.36226092615722304229329
absolute error = 3.14657243727e-12
relative error = 2.5377778865945005793321252370142e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.512
y[1] (analytic) = 124237503.05893990027461389411652
y[1] (numeric) = 124237503.05893990027146102223678
absolute error = 3.15287187974e-12
relative error = 2.5377778867981886631526582767540e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.513
y[1] (analytic) = 124486226.70579676017462452727986
y[1] (numeric) = 124486226.70579676017146534334616
absolute error = 3.15918393370e-12
relative error = 2.5377778869996797020163634924597e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.514
y[1] (analytic) = 124735448.29772642491941447428336
y[1] (numeric) = 124735448.29772642491624896565895
absolute error = 3.16550862441e-12
relative error = 2.5377778872084258069277172902640e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.515
y[1] (analytic) = 124985168.8316155945231429265704
y[1] (numeric) = 124985168.83161559451997108059325
absolute error = 3.17184597715e-12
relative error = 2.5377778874093631125444966637532e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.516
y[1] (analytic) = 125235389.30634673750324454604568
y[1] (numeric) = 125235389.30634673750006635002841
absolute error = 3.17819601727e-12
relative error = 2.5377778876030003278461906413917e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.517
y[1] (analytic) = 125486110.7228020864116353782828
y[1] (numeric) = 125486110.72280208640845081951261
absolute error = 3.18455877019e-12
relative error = 2.5377778878051829628402747682829e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.518
y[1] (analytic) = 125737334.08386764136497757000974
y[1] (numeric) = 125737334.08386764136178663574838
absolute error = 3.19093426136e-12
relative error = 2.5377778880150469408233503167539e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.519
y[1] (analytic) = 125989060.39443718159001701726923
y[1] (numeric) = 125989060.39443718158681969475297
absolute error = 3.19732251626e-12
relative error = 2.5377778882151040913470509303825e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.52
y[1] (analytic) = 126241290.66141628500004013095334
y[1] (numeric) = 126241290.66141628499683640739288
absolute error = 3.20372356046e-12
relative error = 2.5377778884188554860834694971572e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.521
y[1] (analytic) = 126494025.89372635581852803089862
y[1] (numeric) = 126494025.89372635581531789347907
absolute error = 3.21013741955e-12
relative error = 2.5377778886150631678549343249384e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.522
y[1] (analytic) = 126747267.10230866026611866852895
y[1] (numeric) = 126747267.10230866026290210440974
absolute error = 3.21656411921e-12
relative error = 2.5377778888231439668164607523419e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.523
y[1] (analytic) = 127001015.30012837032701963127532
y[1] (numeric) = 127001015.30012837032379662759019
absolute error = 3.22300368513e-12
relative error = 2.5377778890297912809086185011317e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.524
y[1] (analytic) = 127255271.5021786156110466998156
y[1] (numeric) = 127255271.50217861560781724367254
absolute error = 3.22945614306e-12
relative error = 2.5377778892285115078565340401103e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.525
y[1] (analytic) = 127510036.72548454332749561169093
y[1] (numeric) = 127510036.72548454332425969017211
absolute error = 3.23592151882e-12
relative error = 2.5377778894273182294623960450391e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.526
y[1] (analytic) = 127765311.98910738638708693219908
y[1] (numeric) = 127765311.9891073863838445323608
absolute error = 3.24239983828e-12
relative error = 2.5377778896328530390718617896280e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.527
y[1] (analytic) = 128021098.31414853964825644576839
y[1] (numeric) = 128021098.31414853964500755464106
absolute error = 3.24889112733e-12
relative error = 2.5377778898268844871120414889990e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.528
y[1] (analytic) = 128277396.72375364432409605840898
y[1] (numeric) = 128277396.72375364432084066299702
absolute error = 3.25539541196e-12
relative error = 2.5377778900288403391546218179144e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.529
y[1] (analytic) = 128534208.24311668056628284445048
y[1] (numeric) = 128534208.24311668056302093173231
absolute error = 3.26191271817e-12
relative error = 2.5377778902253310131565364289638e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.53
y[1] (analytic) = 128791533.89948406824236657873952
y[1] (numeric) = 128791533.89948406823909813566748
absolute error = 3.26844307204e-12
relative error = 2.5377778904247472450321525038734e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.531
y[1] (analytic) = 129049374.72215877592281886891456
y[1] (numeric) = 129049374.72215877591954388241487
absolute error = 3.27498649969e-12
relative error = 2.5377778906259663448003927447481e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.532
y[1] (analytic) = 129307731.7425044380942798414334
y[1] (numeric) = 129307731.74250443809099829840612
absolute error = 3.28154302728e-12
relative error = 2.5377778908183660973049045590540e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.533
y[1] (analytic) = 129566605.99394948061547123982975
y[1] (numeric) = 129566605.99394948061218312714869
absolute error = 3.28811268106e-12
relative error = 2.5377778910204290936141957877682e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=1136.8MB, alloc=4.6MB, time=56.05
TOP MAIN SOLVE Loop
x[1] = 8.534
y[1] (analytic) = 129825998.51199125443227776435164
y[1] (numeric) = 129825998.51199125442898306886435
absolute error = 3.29469548729e-12
relative error = 2.5377778912177506542635882701062e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.535
y[1] (analytic) = 130085910.334200177568531518819
y[1] (numeric) = 130085910.33420017756523022734669
absolute error = 3.30129147231e-12
relative error = 2.5377778914170964254231136543911e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.536
y[1] (analytic) = 130346342.50022388540906753336048
y[1] (numeric) = 130346342.50022388540575963269799
absolute error = 3.30790066249e-12
relative error = 2.5377778916077513149907896821892e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.537
y[1] (analytic) = 130607296.05179138929165150078565
y[1] (numeric) = 130607296.05179138928833697770137
absolute error = 3.31452308428e-12
relative error = 2.5377778917998957521488306299284e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.538
y[1] (analytic) = 130868772.03271724342441409984804
y[1] (numeric) = 130868772.03271724342109294108387
absolute error = 3.32115876417e-12
relative error = 2.5377778919937515953045234880786e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.539
y[1] (analytic) = 131130771.48890572014545958069237
y[1] (numeric) = 131130771.48890572014213177296367
absolute error = 3.32780772870e-12
relative error = 2.5377778921872263837370223497590e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.54
y[1] (analytic) = 131393295.46835499354134965648728
y[1] (numeric) = 131393295.46835499353801518648282
absolute error = 3.33447000446e-12
relative error = 2.5377778923758556447414320940763e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.541
y[1] (analytic) = 131656345.0211613314411971807573
y[1] (numeric) = 131656345.02116133143785603513918
absolute error = 3.34114561812e-12
relative error = 2.5377778925755324659139387729093e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.542
y[1] (analytic) = 131919921.19952329580313759237799
y[1] (numeric) = 131919921.19952329579978975778163
absolute error = 3.34783459636e-12
relative error = 2.5377778927691610035026892974483e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.543
y[1] (analytic) = 132184025.05774595150997967972076
y[1] (numeric) = 132184025.05774595150662514275482
absolute error = 3.35453696594e-12
relative error = 2.5377778929598610789014894963053e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.544
y[1] (analytic) = 132448657.65224508359087085216195
y[1] (numeric) = 132448657.65224508358750959940827
absolute error = 3.36125275368e-12
relative error = 2.5377778931555859108761725633831e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.545
y[1] (analytic) = 132713820.04155142288584581124029
y[1] (numeric) = 132713820.04155142288247782925386
absolute error = 3.36798198643e-12
relative error = 2.5377778933463878710085605908785e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.546
y[1] (analytic) = 132979513.2863148801701612852917
y[1] (numeric) = 132979513.28631488016678656060058
absolute error = 3.37472469112e-12
relative error = 2.5377778935421159687357611492783e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.547
y[1] (analytic) = 133245738.44930878875535333054578
y[1] (numeric) = 133245738.44930878875197184965107
absolute error = 3.38148089471e-12
relative error = 2.5377778937346130233147813300229e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.548
y[1] (analytic) = 133512496.59543415558398760857008
y[1] (numeric) = 133512496.59543415558059935794585
absolute error = 3.38825062423e-12
relative error = 2.5377778939277740914184194375970e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.549
y[1] (analytic) = 133779788.79172392083510702473129
y[1] (numeric) = 133779788.79172392083171199082453
absolute error = 3.39503390676e-12
relative error = 2.5377778941223956451235803532776e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.55
y[1] (analytic) = 134047616.10734722605741515514348
y[1] (numeric) = 134047616.10734722605401332437405
absolute error = 3.40183076943e-12
relative error = 2.5377778943161255676142412090871e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.551
y[1] (analytic) = 134315979.61361369084726800052786
y[1] (numeric) = 134315979.61361369084385935928844
absolute error = 3.40864123942e-12
relative error = 2.5377778945034137718130435949193e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.552
y[1] (analytic) = 134584880.38397769808858078465338
y[1] (numeric) = 134584880.38397769808516531930941
absolute error = 3.41546534397e-12
relative error = 2.5377778946828936931071133886288e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.553
y[1] (analytic) = 134854319.494042687771790762699
y[1] (numeric) = 134854319.4940426877683684595886
absolute error = 3.42230311040e-12
relative error = 2.5377778948720907325894043936386e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.554
y[1] (analytic) = 135124298.02156545940905132111386
y[1] (numeric) = 135124298.02156545940562216654781
absolute error = 3.42915456605e-12
relative error = 2.5377778950627492163906492870563e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.555
y[1] (analytic) = 135394817.04646048306286703548846
y[1] (numeric) = 135394817.04646048305943101575014
absolute error = 3.43601973832e-12
relative error = 2.5377778952505516742224585317518e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.556
y[1] (analytic) = 135665877.65080421900541380672508
y[1] (numeric) = 135665877.6508042190019709080704
absolute error = 3.44289865468e-12
relative error = 2.5377778954423700717861842804076e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.557
y[1] (analytic) = 135937480.91883944602582271854736
y[1] (numeric) = 135937480.91883944602237292720473
absolute error = 3.44979134263e-12
relative error = 2.5377778956266481050394086163298e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.558
y[1] (analytic) = 136209627.93697959840274085125588
y[1] (numeric) = 136209627.93697959839928415342612
absolute error = 3.45669782976e-12
relative error = 2.5377778958175539702602340254727e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.559
y[1] (analytic) = 136482319.79381311155951694775522
y[1] (numeric) = 136482319.79381311155605332961154
absolute error = 3.46361814368e-12
relative error = 2.5377778960033543387155744583764e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.56
y[1] (analytic) = 136755557.58010777641939455838978
y[1] (numeric) = 136755557.58010777641592400607769
absolute error = 3.47055231209e-12
relative error = 2.5377778961977779637168084457381e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.561
y[1] (analytic) = 137029342.38881510247813009116638
y[1] (numeric) = 137029342.38881510247465259080369
absolute error = 3.47750036269e-12
relative error = 2.5377778963740016145929472179802e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.562
memory used=1140.6MB, alloc=4.6MB, time=56.23
y[1] (analytic) = 137303675.31507468961148806365362
y[1] (numeric) = 137303675.3150746896080036013303
absolute error = 3.48446232332e-12
relative error = 2.5377778965669376069961497668479e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.563
y[1] (analytic) = 137578557.4562186086351007923677
y[1] (numeric) = 137578557.4562186086316093541459
absolute error = 3.49143822180e-12
relative error = 2.5377778967562401378941316842936e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.564
y[1] (analytic) = 137853989.9117757906342147649246
y[1] (numeric) = 137853989.91177579063071633683856
absolute error = 3.49842808604e-12
relative error = 2.5377778969465696894524149117415e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.565
y[1] (analytic) = 138129973.78347642508088101979624
y[1] (numeric) = 138129973.78347642507737558785225
absolute error = 3.50543194399e-12
relative error = 2.5377778971310654314431599504874e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.566
y[1] (analytic) = 138406510.1752563667561820082965
y[1] (numeric) = 138406510.17525636675266955847283
absolute error = 3.51244982367e-12
relative error = 2.5377778973130546105293089002709e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.567
y[1] (analytic) = 138683600.19326155149512263358028
y[1] (numeric) = 138683600.19326155149160315182712
absolute error = 3.51948175316e-12
relative error = 2.5377778974986595832483347163547e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.568
y[1] (analytic) = 138961244.94585242077184845210756
y[1] (numeric) = 138961244.94585242076832192434698
absolute error = 3.52652776058e-12
relative error = 2.5377778976822964545129400627894e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.569
y[1] (analytic) = 139239445.54360835514288938434464
y[1] (numeric) = 139239445.54360835513935579647052
absolute error = 3.53358787412e-12
relative error = 2.5377778978682565936818945591233e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.57
y[1] (analytic) = 139518203.09933211656616271358866
y[1] (numeric) = 139518203.09933211656262205146664
absolute error = 3.54066212202e-12
relative error = 2.5377778980561923522714158345133e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.571
y[1] (analytic) = 139797518.72805429961350465485049
y[1] (numeric) = 139797518.72805429960995690431792
absolute error = 3.54775053257e-12
relative error = 2.5377778982410824326756419447270e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.572
y[1] (analytic) = 140077393.54703779159453534985729
y[1] (numeric) = 140077393.54703779159098049672316
absolute error = 3.55485313413e-12
relative error = 2.5377778984274756090500106495930e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.573
y[1] (analytic) = 140357828.6757822416096977895814
y[1] (numeric) = 140357828.6757822416061358196263
absolute error = 3.56196995510e-12
relative error = 2.5377778986079405772165237631348e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.574
y[1] (analytic) = 140638825.23602853855034688241016
y[1] (numeric) = 140638825.23602853854677778138621
absolute error = 3.56910102395e-12
relative error = 2.5377778987844358866375587657020e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.575
y[1] (analytic) = 140920384.35176329806380067428349
y[1] (numeric) = 140920384.35176329806022442791427
absolute error = 3.57624636922e-12
relative error = 2.5377778989681356283101376826962e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.576
y[1] (analytic) = 141202507.1492233585013015869867
y[1] (numeric) = 141202507.14922335849771818096723
absolute error = 3.58340601947e-12
relative error = 2.5377778991438463536584221823374e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.577
y[1] (analytic) = 141485194.7569002858668714724383
y[1] (numeric) = 141485194.75690028586328089243493
absolute error = 3.59058000337e-12
relative error = 2.5377778993338001326670132362714e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.578
y[1] (analytic) = 141768448.30554488778508028439924
y[1] (numeric) = 141768448.30554488778148251604966
absolute error = 3.59776834958e-12
relative error = 2.5377778995125554063339926539862e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.579
y[1] (analytic) = 142052268.92817173650578424469736
y[1] (numeric) = 142052268.92817173650217927361049
absolute error = 3.60497108687e-12
relative error = 2.5377778996918675031432612981598e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.58
y[1] (analytic) = 142336657.76006370096392552894999
y[1] (numeric) = 142336657.76006370096031334070593
absolute error = 3.61218824406e-12
relative error = 2.5377778998780836702818253779730e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.581
y[1] (analytic) = 142621615.93877648791252171702636
y[1] (numeric) = 142621615.93877648790890229717637
absolute error = 3.61941984999e-12
relative error = 2.5377779000510811484502645136908e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.582
y[1] (analytic) = 142907144.60414319214700954626256
y[1] (numeric) = 142907144.60414319214338288032895
absolute error = 3.62666593361e-12
relative error = 2.5377779002274285069783931740648e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.583
y[1] (analytic) = 143193244.8982788558391438708708
y[1] (numeric) = 143193244.89827885583550994434689
absolute error = 3.63392652391e-12
relative error = 2.5377779004110541084249304064911e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.584
y[1] (analytic) = 143479917.9655850369986891692181
y[1] (numeric) = 143479917.96558503699504796756819
absolute error = 3.64120164991e-12
relative error = 2.5377779005863213035445317396774e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.585
y[1] (analytic) = 143767164.9527543870811774518317
y[1] (numeric) = 143767164.95275438707752896049098
absolute error = 3.64849134072e-12
relative error = 2.5377779007598770718838561973960e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.586
y[1] (analytic) = 144054987.00877523776004300726622
y[1] (numeric) = 144054987.00877523775638721164071
absolute error = 3.65579562551e-12
relative error = 2.5377779009395238468007553808140e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.587
y[1] (analytic) = 144343385.28493619688148108048727
y[1] (numeric) = 144343385.28493619687781796595379
absolute error = 3.66311453348e-12
relative error = 2.5377779011133431319135036000419e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.588
y[1] (analytic) = 144632360.9348307536204143093343
y[1] (numeric) = 144632360.93483075361674386124038
absolute error = 3.67044809392e-12
relative error = 2.5377779012912958899006036202751e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.589
y[1] (analytic) = 144921915.1143618928559875490684
y[1] (numeric) = 144921915.11436189285230975273225
absolute error = 3.67779633615e-12
relative error = 2.5377779014635220321269958754586e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.59
y[1] (analytic) = 145212048.98174671878504859313712
y[1] (numeric) = 145212048.98174671878136343384754
absolute error = 3.68515928958e-12
relative error = 2.5377779016417761152847352979284e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1144.4MB, alloc=4.6MB, time=56.42
x[1] = 8.591
y[1] (analytic) = 145502763.69752108779210925024376
y[1] (numeric) = 145502763.6975210877884167132601
absolute error = 3.69253698366e-12
relative error = 2.5377779018247673918357936214926e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.592
y[1] (analytic) = 145794060.42454425059431826374277
y[1] (numeric) = 145794060.42454425059061833429489
absolute error = 3.69992944788e-12
relative error = 2.5377779019982088599586921560805e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.593
y[1] (analytic) = 146085940.32800350368001465944246
y[1] (numeric) = 146085940.32800350367630732273063
absolute error = 3.70733671183e-12
relative error = 2.5377779021759380575883950153671e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.594
y[1] (analytic) = 146378404.57541885005946728223018
y[1] (numeric) = 146378404.57541885005575252342505
absolute error = 3.71475880513e-12
relative error = 2.5377779023517346023422814806639e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.595
y[1] (analytic) = 146671454.33664766934644353069262
y[1] (numeric) = 146671454.33664766934272133493515
absolute error = 3.72219575747e-12
relative error = 2.5377779025267110517325121596780e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.596
y[1] (analytic) = 146965090.78388939718928762223288
y[1] (numeric) = 146965090.78388939718555797463428
absolute error = 3.72964759860e-12
relative error = 2.5377779027023547541144398058034e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.597
y[1] (analytic) = 147259315.09169021407022611923657
y[1] (numeric) = 147259315.09169021406648900487825
absolute error = 3.73711435832e-12
relative error = 2.5377779028736525144288854826416e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.598
y[1] (analytic) = 147554128.43694774349165591976087
y[1] (numeric) = 147554128.43694774348791132369436
absolute error = 3.74459606651e-12
relative error = 2.5377779030494061933636693461192e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.599
y[1] (analytic) = 147849531.99891575956820746416266
y[1] (numeric) = 147849531.99891575956445537140958
absolute error = 3.75209275308e-12
relative error = 2.5377779032181959250948379936189e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.6
y[1] (analytic) = 148145526.95920890404341353219544
y[1] (numeric) = 148145526.95920890403965392774741
absolute error = 3.75960444803e-12
relative error = 2.5377779033890016940818307037633e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.601
y[1] (analytic) = 148442114.50180741274985170353949
y[1] (numeric) = 148442114.50180741274608457235808
absolute error = 3.76713118141e-12
relative error = 2.5377779035639726612814219165007e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.602
y[1] (analytic) = 148739295.81306185153166632863709
y[1] (numeric) = 148739295.81306185152789165565377
absolute error = 3.77467298332e-12
relative error = 2.5377779037384142422504694231214e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.603
y[1] (analytic) = 149037072.08169786164841370623534
y[1] (numeric) = 149037072.08169786164463147635142
absolute error = 3.78222988392e-12
relative error = 2.5377779039074853262828790052920e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.604
y[1] (analytic) = 149335444.49882091467921208934434
y[1] (numeric) = 149335444.49882091467542228743089
absolute error = 3.78980191345e-12
relative error = 2.5377779040795117911482833716548e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.605
y[1] (analytic) = 149634414.25792107694621614255072
y[1] (numeric) = 149634414.25792107694241875344853
absolute error = 3.79738910219e-12
relative error = 2.5377779042490425356681355267761e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.606
y[1] (analytic) = 149933982.55487778347647355093691
y[1] (numeric) = 149933982.55487778347266855945641
absolute error = 3.80499148050e-12
relative error = 2.5377779044235843842116562632565e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.607
y[1] (analytic) = 150234150.58796462152125963439783
y[1] (numeric) = 150234150.58796462151744702531906
absolute error = 3.81260907877e-12
relative error = 2.5377779045901106693961408720381e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.608
y[1] (analytic) = 150534919.55785412365202405107158
y[1] (numeric) = 150534919.5578541236482038091441
absolute error = 3.82024192748e-12
relative error = 2.5377779047550431200577831397023e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.609
y[1] (analytic) = 150836290.66762257045212198006158
y[1] (numeric) = 150836290.66762257044829409000441
absolute error = 3.82789005717e-12
relative error = 2.5377779049240881745233817848960e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.61
y[1] (analytic) = 151138265.12275480282354055677862
y[1] (numeric) = 151138265.12275480281970500328019
absolute error = 3.83555349843e-12
relative error = 2.5377779050955466085974875789197e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.611
y[1] (analytic) = 151440844.13114904392786979422491
y[1] (numeric) = 151440844.131149043924026561943
absolute error = 3.84323228191e-12
relative error = 2.5377779052669097249812782821838e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.612
y[1] (analytic) = 151744028.9031217307808057605331
y[1] (numeric) = 151744028.90312173077695483409478
absolute error = 3.85092643832e-12
relative error = 2.5377779054347867034770384680820e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.613
y[1] (analytic) = 152047820.65141235551951239721506
y[1] (numeric) = 152047820.65141235551565376121662
absolute error = 3.85863599844e-12
relative error = 2.5377779056014095876337523672586e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.614
y[1] (analytic) = 152352220.59118831636220705402276
y[1] (numeric) = 152352220.59118831635834069302965
absolute error = 3.86636099311e-12
relative error = 2.5377779057679327061190714362803e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.615
y[1] (analytic) = 152657229.94004977827937358523134
y[1] (numeric) = 152657229.9400497782754994837781
absolute error = 3.87410145324e-12
relative error = 2.5377779059409131695817142188126e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.616
y[1] (analytic) = 152962849.91803454339604569867758
y[1] (numeric) = 152962849.91803454339216384126781
absolute error = 3.88185740977e-12
relative error = 2.5377779061060259065087207774211e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.617
y[1] (analytic) = 153269081.74762293114464217318119
y[1] (numeric) = 153269081.74762293114075254428745
absolute error = 3.88962889374e-12
relative error = 2.5377779062738625223271345963905e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.618
y[1] (analytic) = 153575926.65374266818787456219642
y[1] (numeric) = 153575926.65374266818397714626019
absolute error = 3.89741593623e-12
relative error = 2.5377779064405335259077475222605e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.619
y[1] (analytic) = 153883385.86377378813128708184499
y[1] (numeric) = 153883385.8637737881273818632766
absolute error = 3.90521856839e-12
relative error = 2.5377779066072270516663498510702e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=1148.2MB, alloc=4.6MB, time=56.60
TOP MAIN SOLVE Loop
x[1] = 8.62
y[1] (analytic) = 154191460.60755354104502754002258
y[1] (numeric) = 154191460.60755354104111450320115
absolute error = 3.91303682143e-12
relative error = 2.5377779067735920416984596521170e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.621
y[1] (analytic) = 154500152.11738131281448740020884
y[1] (numeric) = 154500152.11738131281056652948221
absolute error = 3.92087072663e-12
relative error = 2.5377779069441452565774445926111e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.622
y[1] (analytic) = 154809461.6280235543394883891001
y[1] (numeric) = 154809461.6280235543355596687848
absolute error = 3.92872031530e-12
relative error = 2.5377779071023036418774385608448e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.623
y[1] (analytic) = 155119390.37671872060173245138376
y[1] (numeric) = 155119390.37671872059779586576488
absolute error = 3.93658561888e-12
relative error = 2.5377779072749806042947132367730e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.624
y[1] (analytic) = 155429939.6031822196202713280392
y[1] (numeric) = 155429939.60318221961632686137041
absolute error = 3.94446666879e-12
relative error = 2.5377779074355648359980925540394e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.625
y[1] (analytic) = 155741110.54961137131479158664263
y[1] (numeric) = 155741110.54961137131083922314604
absolute error = 3.95236349659e-12
relative error = 2.5377779076071077450756261388018e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.626
y[1] (analytic) = 156052904.4606903762965505634273
y[1] (numeric) = 156052904.46069037629259028729346
absolute error = 3.96027613384e-12
relative error = 2.5377779077720344166836438615069e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.627
y[1] (analytic) = 156365322.58359529460683838746837
y[1] (numeric) = 156365322.58359529460287018285617
absolute error = 3.96820461220e-12
relative error = 2.5377779079364205457979913529829e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.628
y[1] (analytic) = 156678366.16799903442288104747847
y[1] (numeric) = 156678366.16799903441890489851509
absolute error = 3.97614896338e-12
relative error = 2.5377779080977635537752338147390e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.629
y[1] (analytic) = 156992036.4660763507511393314781
y[1] (numeric) = 156992036.46607635074715522225893
absolute error = 3.98410921917e-12
relative error = 2.5377779082640964889417082974378e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.63
y[1] (analytic) = 157306334.73250885412799841920134
y[1] (numeric) = 157306334.73250885412400633378995
absolute error = 3.99208541139e-12
relative error = 2.5377779084220169562303819912364e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.631
y[1] (analytic) = 157621262.22449002934788293667376
y[1] (numeric) = 157621262.22449002934388285910179
absolute error = 4.00007757197e-12
relative error = 2.5377779085875747069121066518323e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.632
y[1] (analytic) = 157936820.20173026423887239211405
y[1] (numeric) = 157936820.2017302642348643063812
absolute error = 4.00808573285e-12
relative error = 2.5377779087425806844140980600743e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.633
y[1] (analytic) = 158253009.92646188850593210232654
y[1] (numeric) = 158253009.92646188850191599240044
absolute error = 4.01610992610e-12
relative error = 2.5377779089106955678925615125839e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.634
y[1] (analytic) = 158569832.66344422266191498922636
y[1] (numeric) = 158569832.66344422265789083904259
absolute error = 4.02415018377e-12
relative error = 2.5377779090623360680205454245148e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.635
y[1] (analytic) = 158887289.67996863706652997723679
y[1] (numeric) = 158887289.67996863706249777069872
absolute error = 4.03220653807e-12
relative error = 2.5377779092284129404738476257836e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.636
y[1] (analytic) = 159205382.24586362109351315417727
y[1] (numeric) = 159205382.24586362108947287515607
absolute error = 4.04027902120e-12
relative error = 2.5377779093928667164376657858057e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.637
y[1] (analytic) = 159524111.63349986244627837108608
y[1] (numeric) = 159524111.63349986244223000342063
absolute error = 4.04836766545e-12
relative error = 2.5377779095557413473204309755410e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.638
y[1] (analytic) = 159843479.11779533664236455035218
y[1] (numeric) = 159843479.11779533663830807784901
absolute error = 4.05647250317e-12
relative error = 2.5377779097141748072291553961514e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.639
y[1] (analytic) = 160163485.97622040668703764673159
y[1] (numeric) = 160163485.97622040668297305316481
absolute error = 4.06459356678e-12
relative error = 2.5377779098685909384820378019598e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.64
y[1] (analytic) = 160484133.48880293295644596245566
y[1] (numeric) = 160484133.48880293295237323156688
absolute error = 4.07273088878e-12
relative error = 2.5377779100288170817848676060433e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.641
y[1] (analytic) = 160805422.93813339331076835586564
y[1] (numeric) = 160805422.93813339330668747136394
absolute error = 4.08088450170e-12
relative error = 2.5377779101828158359677987773929e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.642
y[1] (analytic) = 161127355.60937001345783580299333
y[1] (numeric) = 161127355.60937001345374674855515
absolute error = 4.08905443818e-12
relative error = 2.5377779103464724572632105629188e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.643
y[1] (analytic) = 161449932.79024390758774777341434
y[1] (numeric) = 161449932.79024390758365053268347
absolute error = 4.09724073087e-12
relative error = 2.5377779105012968814107986589290e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.644
y[1] (analytic) = 161773155.77106422929904596569388
y[1] (numeric) = 161773155.77106422929494052228134
absolute error = 4.10544341254e-12
relative error = 2.5377779106626821439115523686365e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.645
y[1] (analytic) = 162097025.84472333283704911398768
y[1] (numeric) = 162097025.8447233328329354514717
absolute error = 4.11366251598e-12
relative error = 2.5377779108177943745343206595246e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.646
y[1] (analytic) = 162421544.30670194466499382601916
y[1] (numeric) = 162421544.30670194466087192794508
absolute error = 4.12189807408e-12
relative error = 2.5377779109750279161001779423523e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.647
y[1] (analytic) = 162746712.45507434538866774389142
y[1] (numeric) = 162746712.45507434538453759377163
absolute error = 4.13015011979e-12
relative error = 2.5377779111391348929159169097052e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1152.0MB, alloc=4.6MB, time=56.78
x[1] = 8.648
y[1] (analytic) = 163072531.59051356205526273317602
y[1] (numeric) = 163072531.59051356205112431448993
absolute error = 4.13841868609e-12
relative error = 2.5377779112927837361973225734178e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.649
y[1] (analytic) = 163399003.01629657084721730261448
y[1] (numeric) = 163399003.01629657084307059880841
absolute error = 4.14670380607e-12
relative error = 2.5377779114456587135456552621009e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.65
y[1] (analytic) = 163726128.03830951019185903673886
y[1] (numeric) = 163726128.03830951018770403122599
absolute error = 4.15500551287e-12
relative error = 2.5377779115974633641307527635476e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.651
y[1] (analytic) = 164053907.96505290430769948693219
y[1] (numeric) = 164053907.96505290430353616309248
absolute error = 4.16332383971e-12
relative error = 2.5377779117562256884971700054737e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.652
y[1] (analytic) = 164382344.10764689720827571307289
y[1] (numeric) = 164382344.10764689720410405425304
absolute error = 4.17165881985e-12
relative error = 2.5377779119138006815305086593258e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.653
y[1] (analytic) = 164711437.77983649718447449810814
y[1] (numeric) = 164711437.77983649718029448762151
absolute error = 4.18001048663e-12
relative error = 2.5377779120702356717282363892917e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.654
y[1] (analytic) = 165041190.29799683178631717184562
y[1] (numeric) = 165041190.29799683178212879297216
absolute error = 4.18837887346e-12
relative error = 2.5377779122275489069055786869301e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.655
y[1] (analytic) = 165371602.98113841332522497810956
y[1] (numeric) = 165371602.98113841332102821409576
absolute error = 4.19676401380e-12
relative error = 2.5377779123775350841561261810799e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.656
y[1] (analytic) = 165702677.15091241491782700134335
y[1] (numeric) = 165702677.15091241491362183540214
absolute error = 4.20516594121e-12
relative error = 2.5377779125319611263412467544811e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.657
y[1] (analytic) = 166034414.13161595709241483492492
y[1] (numeric) = 166034414.13161595708820125023562
absolute error = 4.21358468930e-12
relative error = 2.5377779126921719441430317951163e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.658
y[1] (analytic) = 166366815.2501974049791904240626
y[1] (numeric) = 166366815.25019740497496840377088
absolute error = 4.22202029172e-12
relative error = 2.5377779128431024648344062686954e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.659
y[1] (analytic) = 166699881.8362616761054958513257
y[1] (numeric) = 166699881.83626167610126537854346
absolute error = 4.23047278224e-12
relative error = 2.5377779130013511460754003712266e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.66
y[1] (analytic) = 167033615.22207555881725625280584
y[1] (numeric) = 167033615.22207555881301731061119
absolute error = 4.23894219465e-12
relative error = 2.5377779131549152653017285428265e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.661
y[1] (analytic) = 167368016.74257304134790955777217
y[1] (numeric) = 167368016.74257304134366212920934
absolute error = 4.24742856283e-12
relative error = 2.5377779133052191802966215514774e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.662
y[1] (analytic) = 167703087.73536065155613933464474
y[1] (numeric) = 167703087.73536065155188340272401
absolute error = 4.25593192073e-12
relative error = 2.5377779134549740283371797387899e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.663
y[1] (analytic) = 168038829.54072280735376970133702
y[1] (numeric) = 168038829.54072280734950524903465
absolute error = 4.26445230237e-12
relative error = 2.5377779136080840108296897332910e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.664
y[1] (analytic) = 168375243.5016271778452240186812
y[1] (numeric) = 168375243.50162717784095102893937
absolute error = 4.27298974183e-12
relative error = 2.5377779137636144472903168590983e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.665
y[1] (analytic) = 168712330.96373005519999193191919
y[1] (numeric) = 168712330.96373005519571038764594
absolute error = 4.28154427325e-12
relative error = 2.5377779139157591560536509417172e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.666
y[1] (analytic) = 169050093.27538173727959225728999
y[1] (numeric) = 169050093.27538173727530214135914
absolute error = 4.29011593085e-12
relative error = 2.5377779140656391664618871214120e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.667
y[1] (analytic) = 169388531.78763192104056222874182
y[1] (numeric) = 169388531.7876319210362635239929
absolute error = 4.29870474892e-12
relative error = 2.5377779142152493562408426211434e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.668
y[1] (analytic) = 169727647.85423510673504672391716
y[1] (numeric) = 169727647.85423510673073941315535
absolute error = 4.30731076181e-12
relative error = 2.5377779143614770813123884357380e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.669
y[1] (analytic) = 170067442.8316560129306042789733
y[1] (numeric) = 170067442.83165601292628834496934
absolute error = 4.31593400396e-12
relative error = 2.5377779145137123771884689060120e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.67
y[1] (analytic) = 170407918.07907500237088997868234
y[1] (numeric) = 170407918.07907500236656540417249
absolute error = 4.32457450985e-12
relative error = 2.5377779146643010178736422976113e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.671
y[1] (analytic) = 170749074.95839351869891867177686
y[1] (numeric) = 170749074.95839351869458543946282
absolute error = 4.33323231404e-12
relative error = 2.5377779148120597980336065064172e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.672
y[1] (analytic) = 171090914.83423953406465541184296
y[1] (numeric) = 171090914.83423953406031350439179
absolute error = 4.34190745117e-12
relative error = 2.5377779149621313885927268263690e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.673
y[1] (analytic) = 171433439.07397300763872356138592
y[1] (numeric) = 171433439.07397300763437296142998
absolute error = 4.35059995594e-12
relative error = 2.5377779151141740492056234683050e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.674
y[1] (analytic) = 171776649.04769135505406462117894
y[1] (numeric) = 171776649.04769135504970531131583
absolute error = 4.35930986311e-12
relative error = 2.5377779152623354085505535870409e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.675
y[1] (analytic) = 172120546.12823492879742755882695
y[1] (numeric) = 172120546.12823492879305952161943
absolute error = 4.36803720752e-12
relative error = 2.5377779154068464883565899327946e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.676
y[1] (analytic) = 172465131.69119250957260920980982
y[1] (numeric) = 172465131.69119250956823242778574
absolute error = 4.37678202408e-12
relative error = 2.5377779155480820863109774098624e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1155.9MB, alloc=4.6MB, time=56.97
x[1] = 8.677
y[1] (analytic) = 172810407.11490680865741121128855
y[1] (numeric) = 172810407.11490680865302566694076
absolute error = 4.38554434779e-12
relative error = 2.5377779156980519039335409374986e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.678
y[1] (analytic) = 173156373.78047998127632290383851
y[1] (numeric) = 173156373.78047998127192857962483
absolute error = 4.39432421368e-12
relative error = 2.5377779158455527349108729571194e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.679
y[1] (analytic) = 173503033.07177915101098369919268
y[1] (numeric) = 173503033.07177915100658057753581
absolute error = 4.40312165687e-12
relative error = 2.5377779159909006071135923107980e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.68
y[1] (analytic) = 173850386.37544194527052256321009
y[1] (numeric) = 173850386.37544194526611062649753
absolute error = 4.41193671256e-12
relative error = 2.5377779161399832756185631937691e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.681
y[1] (analytic) = 174198435.08088204184391650280803
y[1] (numeric) = 174198435.08088204183949573339203
absolute error = 4.42076941600e-12
relative error = 2.5377779162869020056598990696957e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.682
y[1] (analytic) = 174547180.58029472655655427368753
y[1] (numeric) = 174547180.58029472655212465388501
absolute error = 4.42961980252e-12
relative error = 2.5377779164311956109706114989643e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.683
y[1] (analytic) = 174896624.26866246205323594251695
y[1] (numeric) = 174896624.26866246204879745460942
absolute error = 4.43848790753e-12
relative error = 2.5377779165777055638758470810180e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.684
y[1] (analytic) = 175246767.5437604677298834429971
y[1] (numeric) = 175246767.54376046772543606923061
absolute error = 4.44737376649e-12
relative error = 2.5377779167193235183056555465296e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.685
y[1] (analytic) = 175597611.80616231083628186009002
y[1] (numeric) = 175597611.80616231083182558267506
absolute error = 4.45627741496e-12
relative error = 2.5377779168655038829111393413361e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.686
y[1] (analytic) = 175949158.4592455087722158608313
y[1] (numeric) = 175949158.45924550876775066194275
absolute error = 4.46519888855e-12
relative error = 2.5377779170136005387999345746481e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.687
y[1] (analytic) = 176301408.9091971425994104637414
y[1] (numeric) = 176301408.90919714259493632551847
absolute error = 4.47413822293e-12
relative error = 2.5377779171545786473309032417836e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.688
y[1] (analytic) = 176654364.56501948179173020208388
y[1] (numeric) = 176654364.56501948178724710663
absolute error = 4.48309545388e-12
relative error = 2.5377779173013016325139989616306e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.689
y[1] (analytic) = 177008026.83853562024613568926658
y[1] (numeric) = 177008026.83853562024164361864935
absolute error = 4.49207061723e-12
relative error = 2.5377779174543352059102816586750e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.69
y[1] (analytic) = 177362397.14439512357694163772692
y[1] (numeric) = 177362397.14439512357244057397807
absolute error = 4.50106374885e-12
relative error = 2.5377779175963507302951105469253e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.691
y[1] (analytic) = 177717476.90007968771596551586314
y[1] (numeric) = 177717476.90007968771145544097841
absolute error = 4.51007488473e-12
relative error = 2.5377779177372384261781503868667e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.692
y[1] (analytic) = 178073267.52590880884120125115068
y[1] (numeric) = 178073267.52590880883668214708976
absolute error = 4.51910406092e-12
relative error = 2.5377779178800613463456763036374e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.693
y[1] (analytic) = 178429770.44504546465669770169866
y[1] (numeric) = 178429770.44504546465216955038511
absolute error = 4.52815131355e-12
relative error = 2.5377779180322512732815260532166e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.694
y[1] (analytic) = 178786987.0835018070463670233352
y[1] (numeric) = 178786987.08350180704182980665643
absolute error = 4.53721667877e-12
relative error = 2.5377779181719246599881284775592e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.695
y[1] (analytic) = 179144918.8701448661244935550455
y[1] (numeric) = 179144918.87014486611994725485263
absolute error = 4.54630019287e-12
relative error = 2.5377779183150792645651796418168e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.696
y[1] (analytic) = 179503567.23670226570575943240328
y[1] (numeric) = 179503567.23670226570120403051111
absolute error = 4.55540189217e-12
relative error = 2.5377779184538556654081774470879e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.697
y[1] (analytic) = 179862933.61776795021764881671901
y[1] (numeric) = 179862933.61776795021308429490592
absolute error = 4.56452181309e-12
relative error = 2.5377779185956126775803056436272e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.698
y[1] (analytic) = 180223019.45080792307813839715743
y[1] (numeric) = 180223019.45080792307356473716532
absolute error = 4.57365999211e-12
relative error = 2.5377779187405001090289940762532e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.699
y[1] (analytic) = 180583826.17616599656162768423778
y[1] (numeric) = 180583826.17616599655704486777201
absolute error = 4.58281646577e-12
relative error = 2.5377779188814496812585855573026e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.7
y[1] (analytic) = 180945355.2370695531761085661043
y[1] (numeric) = 180945355.23706955317151657483359
absolute error = 4.59199127071e-12
relative error = 2.5377779190262724493604545127065e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.701
y[1] (analytic) = 181307608.07963531857461964392695
y[1] (numeric) = 181307608.07963531857001845948334
absolute error = 4.60118444361e-12
relative error = 2.5377779191643367052512915395274e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.702
y[1] (analytic) = 181670586.1528751460240769999472
y[1] (numeric) = 181670586.15287514601946660392594
absolute error = 4.61039602126e-12
relative error = 2.5377779193052023843284068457132e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.703
y[1] (analytic) = 182034290.90870181245461928120425
y[1] (numeric) = 182034290.90870181244999965516375
absolute error = 4.61962604050e-12
relative error = 2.5377779194453781482196132832630e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.704
y[1] (analytic) = 182398723.80193482611265130405035
y[1] (numeric) = 182398723.8019348261080224295121
absolute error = 4.62887453825e-12
relative error = 2.5377779195848180655586220322561e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.705
y[1] (analytic) = 182763886.290306245840816799373
y[1] (numeric) = 182763886.29030624583617865782149
absolute error = 4.63814155151e-12
relative error = 2.5377779197268065275565056827442e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=1159.7MB, alloc=4.6MB, time=57.15
TOP MAIN SOLVE Loop
x[1] = 8.706
y[1] (analytic) = 183129779.83446651200817742617417
y[1] (numeric) = 183129779.83446651200352999905683
absolute error = 4.64742711734e-12
relative error = 2.5377779198669229593581325861020e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.707
y[1] (analytic) = 183496405.89799028911392178199708
y[1] (numeric) = 183496405.8979902891092650507242
absolute error = 4.65673127288e-12
relative error = 2.5377779200039372537502155500392e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.708
y[1] (analytic) = 183863765.94738232008797483282681
y[1] (numeric) = 183863765.94738232008330877877145
absolute error = 4.66605405536e-12
relative error = 2.5377779201451360802106149373044e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.709
y[1] (analytic) = 184231861.45208329231192497270808
y[1] (numeric) = 184231861.45208329230724957720602
absolute error = 4.67539550206e-12
relative error = 2.5377779202844452764948083246279e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.71
y[1] (analytic) = 184600693.88447571538373280460992
y[1] (numeric) = 184600693.88447571537904804895957
absolute error = 4.68475565035e-12
relative error = 2.5377779204241506197802173929039e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.711
y[1] (analytic) = 184970264.7198898106497327092093
y[1] (numeric) = 184970264.71988981064503857467164
absolute error = 4.69413453766e-12
relative error = 2.5377779205585149259345722315170e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.712
y[1] (analytic) = 185340575.43660941252748533745276
y[1] (numeric) = 185340575.43660941252278180525124
absolute error = 4.70353220152e-12
relative error = 2.5377779206953591943910606089895e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.713
y[1] (analytic) = 185711627.51587788164308632617432
y[1] (numeric) = 185711627.51587788163837337749479
absolute error = 4.71294867953e-12
relative error = 2.5377779208396925094874291729454e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.714
y[1] (analytic) = 186083422.44190402980658379388888
y[1] (numeric) = 186083422.44190402980186140987955
absolute error = 4.72238400933e-12
relative error = 2.5377779209775372142815180116478e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.715
y[1] (analytic) = 186455961.70186805684920452633098
y[1] (numeric) = 186455961.70186805684447268810232
absolute error = 4.73183822866e-12
relative error = 2.5377779211082167643702312984080e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.716
y[1] (analytic) = 186829246.78592749934613620855947
y[1] (numeric) = 186829246.7859274993413948971841
absolute error = 4.74131137537e-12
relative error = 2.5377779212494950841719317630641e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.717
y[1] (analytic) = 187203279.18722319124866060268852
y[1] (numeric) = 187203279.18722319124390979920119
absolute error = 4.75080348733e-12
relative error = 2.5377779213892354891770607887886e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.718
y[1] (analytic) = 187578060.40188523644948020772544
y[1] (numeric) = 187578060.40188523644471989312294
absolute error = 4.76031460250e-12
relative error = 2.5377779215229356778318560730107e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.719
y[1] (analytic) = 187953591.9290389933051286707852
y[1] (numeric) = 187953591.92903899330035882602625
absolute error = 4.76984475895e-12
relative error = 2.5377779216642120683137079936395e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.72
y[1] (analytic) = 188329875.27081107113940304730257
y[1] (numeric) = 188329875.2708110711346236533078
absolute error = 4.77939399477e-12
relative error = 2.5377779217967496802315299104932e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.721
y[1] (analytic) = 188706911.93233533875180393196662
y[1] (numeric) = 188706911.93233533874701496961845
absolute error = 4.78896234817e-12
relative error = 2.5377779219275120320466908492795e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.722
y[1] (analytic) = 189084703.421758944955017502149
y[1] (numeric) = 189084703.42175894495021895229155
absolute error = 4.79854985745e-12
relative error = 2.5377779220705625301555087809030e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.723
y[1] (analytic) = 189463251.25024835116552163178181
y[1] (numeric) = 189463251.25024835116071347522089
absolute error = 4.80815656092e-12
relative error = 2.5377779222046879125071775668110e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.724
y[1] (analytic) = 189842556.93199537607144644615308
y[1] (numeric) = 189842556.93199537606662866365605
absolute error = 4.81778249703e-12
relative error = 2.5377779223421470941474081536581e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.725
y[1] (analytic) = 190222621.98422325240186799712128
y[1] (numeric) = 190222621.98422325239704056941701
absolute error = 4.82742770427e-12
relative error = 2.5377779224756868388819218175851e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.726
y[1] (analytic) = 190603447.92719269582176214399962
y[1] (numeric) = 190603447.92719269581692505177839
absolute error = 4.83709222123e-12
relative error = 2.5377779226101343620409879568868e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.727
y[1] (analytic) = 190985036.28420798597689422801726
y[1] (numeric) = 190985036.2842079859720474519307
absolute error = 4.84677608656e-12
relative error = 2.5377779227412520828128255265567e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.728
y[1] (analytic) = 191367388.58162305971296872802441
y[1] (numeric) = 191367388.5816230597081122486854
absolute error = 4.85647933901e-12
relative error = 2.5377779228766493882670374611784e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.729
y[1] (analytic) = 191750506.348847616493411782164
y[1] (numeric) = 191750506.34884761648854558014662
absolute error = 4.86620201738e-12
relative error = 2.5377779230095080967793223313698e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.73
y[1] (analytic) = 192134391.11835323604020825478076
y[1] (numeric) = 192134391.1183532360353323106202
absolute error = 4.87594416056e-12
relative error = 2.5377779231394642432600497127727e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.731
y[1] (analytic) = 192519044.42567950822226392007277
y[1] (numeric) = 192519044.42567950821737821426524
absolute error = 4.88570580753e-12
relative error = 2.5377779232724630693889156294257e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.732
y[1] (analytic) = 192904467.80944017521581232410734
y[1] (numeric) = 192904467.80944017521091683711001
absolute error = 4.89548699733e-12
relative error = 2.5377779234050634660533033713178e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.733
y[1] (analytic) = 193290662.81132928596143497501831
y[1] (numeric) = 193290662.81132928595652968724923
absolute error = 4.90528776908e-12
relative error = 2.5377779235347978133047077204186e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1163.5MB, alloc=4.6MB, time=57.34
x[1] = 8.734
y[1] (analytic) = 193677630.9761273629423126976714
y[1] (numeric) = 193677630.97612736293739758950941
absolute error = 4.91510816199e-12
relative error = 2.5377779236652448072574352229924e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.735
y[1] (analytic) = 194065373.85170758130837527402548
y[1] (numeric) = 194065373.85170758130345032581013
absolute error = 4.92494821535e-12
relative error = 2.5377779238007354491926044007828e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.736
y[1] (analytic) = 194453892.98904196037106587402702
y[1] (numeric) = 194453892.98904196036613106605852
absolute error = 4.93480796850e-12
relative error = 2.5377779239308367616989199750210e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.737
y[1] (analytic) = 194843189.94220756749348626435098
y[1] (numeric) = 194843189.94220756748854157689008
absolute error = 4.94468746090e-12
relative error = 2.5377779240663446302286713849097e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.738
y[1] (analytic) = 195233266.26839273440073836384056
y[1] (numeric) = 195233266.26839273439578377710852
absolute error = 4.95458673204e-12
relative error = 2.5377779241928926375899475476531e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.739
y[1] (analytic) = 195624123.5279032859353273953008
y[1] (numeric) = 195624123.52790328593036288947924
absolute error = 4.96450582156e-12
relative error = 2.5377779243324643289046588227166e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.74
y[1] (analytic) = 196015763.28416878128254166356314
y[1] (numeric) = 196015763.28416878127756721879406
absolute error = 4.97444476908e-12
relative error = 2.5377779244562221255723054996409e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.741
y[1] (analytic) = 196408187.10374876769077386966236
y[1] (numeric) = 196408187.10374876768578946604796
absolute error = 4.98440361440e-12
relative error = 2.5377779245867620968940249451740e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.742
y[1] (analytic) = 196801396.55633904671179885074872
y[1] (numeric) = 196801396.55633904670680446835137
absolute error = 4.99438239735e-12
relative error = 2.5377779247213015124867502992340e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.743
y[1] (analytic) = 197195393.21477795298607271520184
y[1] (numeric) = 197195393.21477795298106833404401
absolute error = 5.00438115783e-12
relative error = 2.5377779248521351214681518794182e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.744
y[1] (analytic) = 197590178.65505264559816852251427
y[1] (numeric) = 197590178.65505264559315412257844
absolute error = 5.01439993583e-12
relative error = 2.5377779249767255956587349360649e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.745
y[1] (analytic) = 197985754.45630541202751393807602
y[1] (numeric) = 197985754.45630541202248949930457
absolute error = 5.02443877145e-12
relative error = 2.5377779251076731422272624614827e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.746
y[1] (analytic) = 198382122.20083998471964667421589
y[1] (numeric) = 198382122.20083998471461217651106
absolute error = 5.03449770483e-12
relative error = 2.5377779252371981396262334850778e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.747
y[1] (analytic) = 198779283.4741278703032540109436
y[1] (numeric) = 198779283.47412787029820943416739
absolute error = 5.04457677621e-12
relative error = 2.5377779253674476577265938722286e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.748
y[1] (analytic) = 199177239.86481469147831327298956
y[1] (numeric) = 199177239.86481469147325859696366
absolute error = 5.05467602590e-12
relative error = 2.5377779254952538343116010743023e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.749
y[1] (analytic) = 199575992.96472654160070082416022
y[1] (numeric) = 199575992.96472654159563602866593
absolute error = 5.06479549429e-12
relative error = 2.5377779256171167044420774813258e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.75
y[1] (analytic) = 199975544.36887635198868792591768
y[1] (numeric) = 199975544.3688763519836129906958
absolute error = 5.07493522188e-12
relative error = 2.5377779257441286750248143384910e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.751
y[1] (analytic) = 200375895.67547027197679269465667
y[1] (numeric) = 200375895.67547027197170759940745
absolute error = 5.08509524922e-12
relative error = 2.5377779258718043614710814294584e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.752
y[1] (analytic) = 200777048.48591406174250838159361
y[1] (numeric) = 200777048.48591406173741310597666
absolute error = 5.09527561695e-12
relative error = 2.5377779260000775595466641488195e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.753
y[1] (analytic) = 201179004.40481949793147929070456
y[1] (numeric) = 201179004.40481949792637381433877
absolute error = 5.10547636579e-12
relative error = 2.5377779261282057748093285029565e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.754
y[1] (analytic) = 201581765.04001079210674684395654
y[1] (numeric) = 201581765.04001079210163114641999
absolute error = 5.11569753655e-12
relative error = 2.5377779262596569435699391943943e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.755
y[1] (analytic) = 201985332.00253102204773959937446
y[1] (numeric) = 201985332.00253102204261366020437
absolute error = 5.12593917009e-12
relative error = 2.5377779263821831781134474282585e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.756
y[1] (analytic) = 202389706.90664857592473242647886
y[1] (numeric) = 202389706.90664857591959622517146
absolute error = 5.13620130740e-12
relative error = 2.5377779265074245274056739104305e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.757
y[1] (analytic) = 202794891.3698636093745515455232
y[1] (numeric) = 202794891.36986360936940506153366
absolute error = 5.14648398954e-12
relative error = 2.5377779266410034770624106204633e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.758
y[1] (analytic) = 203200887.01291451550335374196046
y[1] (numeric) = 203200887.01291451549819695470286
absolute error = 5.15678725760e-12
relative error = 2.5377779267628188435060948277383e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.759
y[1] (analytic) = 203607695.45978440784235977588266
y[1] (numeric) = 203607695.45978440783719266472984
absolute error = 5.16711115282e-12
relative error = 2.5377779268861585936191467065775e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.76
y[1] (analytic) = 204015318.33770761628247381801054
y[1] (numeric) = 204015318.33770761627729636229405
absolute error = 5.17745571649e-12
relative error = 2.5377779270082703575020733736258e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.761
y[1] (analytic) = 204423757.27717619601377265937278
y[1] (numeric) = 204423757.27717619600858483838278
absolute error = 5.18782099000e-12
relative error = 2.5377779271348993347628938870999e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.762
y[1] (analytic) = 204833013.91194644949590046130992
y[1] (numeric) = 204833013.91194644949070225429512
absolute error = 5.19820701480e-12
relative error = 2.5377779272605946074993058137157e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=1167.3MB, alloc=4.6MB, time=57.52
TOP MAIN SOLVE Loop
x[1] = 8.763
y[1] (analytic) = 205243089.87904546148545693607808
y[1] (numeric) = 205243089.87904546148024832224564
absolute error = 5.20861383244e-12
relative error = 2.5377779273882290412780124321736e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.764
y[1] (analytic) = 205653986.8187776471465190763185
y[1] (numeric) = 205653986.81877764714130003483396
absolute error = 5.21904148454e-12
relative error = 2.5377779275142479345356070042108e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.765
y[1] (analytic) = 206065706.37473131327048888421068
y[1] (numeric) = 206065706.37473131326525939419787
absolute error = 5.22949001281e-12
relative error = 2.5377779276383579535899021201804e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.766
y[1] (analytic) = 206478250.19378523263151198844831
y[1] (numeric) = 206478250.19378523262627202898926
absolute error = 5.23995945905e-12
relative error = 2.5377779277634138893624409008492e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.767
y[1] (analytic) = 206891619.92611523150376457947824
y[1] (numeric) = 206891619.92611523149851412961311
absolute error = 5.25044986513e-12
relative error = 2.5377779278856395183946382341798e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.768
y[1] (analytic) = 207305817.22520079036695874093367
y[1] (numeric) = 207305817.22520079036169777966065
absolute error = 5.26096127302e-12
relative error = 2.5377779280090843029095092617527e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.769
y[1] (analytic) = 207720843.7478316578264690080837
y[1] (numeric) = 207720843.74783165782119751435894
absolute error = 5.27149372476e-12
relative error = 2.5377779281310220987806987850808e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.77
y[1] (analytic) = 208136701.15411447777453584262422
y[1] (numeric) = 208136701.15411447776925379536172
absolute error = 5.28204726250e-12
relative error = 2.5377779282611560172575640800901e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.771
y[1] (analytic) = 208553391.10747942981905467745998
y[1] (numeric) = 208553391.10747942981376205553156
absolute error = 5.29262192842e-12
relative error = 2.5377779283830540796625434474231e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.772
y[1] (analytic) = 208970915.27468688300651225548828
y[1] (numeric) = 208970915.27468688300120903772344
absolute error = 5.30321776484e-12
relative error = 2.5377779285069680201940899407425e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.773
y[1] (analytic) = 209389275.32583406286568516300093
y[1] (numeric) = 209389275.3258340628603713281868
absolute error = 5.31383481413e-12
relative error = 2.5377779286265044227540464203331e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.774
y[1] (analytic) = 209808472.93436173179876874138822
y[1] (numeric) = 209808472.93436173179344426826945
absolute error = 5.32447311877e-12
relative error = 2.5377779287473073040395318437875e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.775
y[1] (analytic) = 210228509.77706088284665795056768
y[1] (numeric) = 210228509.77706088284132281784636
absolute error = 5.33513272132e-12
relative error = 2.5377779288725871243348080982080e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.776
y[1] (analytic) = 210649387.53407944685515525418599
y[1] (numeric) = 210649387.53407944684980944052159
absolute error = 5.34581366440e-12
relative error = 2.5377779289935696202234515390854e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.777
y[1] (analytic) = 211071107.88892901306893420036876
y[1] (numeric) = 211071107.88892901306357768437802
absolute error = 5.35651599074e-12
relative error = 2.5377779291132232991285669203418e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.778
y[1] (analytic) = 211493672.52849156318014108283296
y[1] (numeric) = 211493672.5284915631747738430898
absolute error = 5.36723974316e-12
relative error = 2.5377779292366051272384409464964e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.779
y[1] (analytic) = 211917083.14302621885857088574753
y[1] (numeric) = 211917083.14302621885319290078299
absolute error = 5.37798496454e-12
relative error = 2.5377779293566022634493877036348e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.78
y[1] (analytic) = 212341341.42617600279040764204278
y[1] (numeric) = 212341341.42617600278501889034492
absolute error = 5.38875169786e-12
relative error = 2.5377779294728102242114063962610e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.781
y[1] (analytic) = 212766449.07497461325257336914449
y[1] (numeric) = 212766449.07497461324717382915828
absolute error = 5.39953998621e-12
relative error = 2.5377779295960853358398491381121e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.782
y[1] (analytic) = 213192407.78985321224978388856136
y[1] (numeric) = 213192407.78985321224437353868864
absolute error = 5.41034987272e-12
relative error = 2.5377779297155172615392085945269e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.783
y[1] (analytic) = 213619219.27464722724146408659996
y[1] (numeric) = 213619219.27464722723604290519932
absolute error = 5.42118140064e-12
relative error = 2.5377779298360150273555474340775e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.784
y[1] (analytic) = 214046885.23660316648572953293712
y[1] (numeric) = 214046885.23660316648029749832383
absolute error = 5.43203461329e-12
relative error = 2.5377779299547092494951088232139e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.785
y[1] (analytic) = 214475407.38638544802769584206341
y[1] (numeric) = 214475407.38638544802225293250932
absolute error = 5.44290955409e-12
relative error = 2.5377779300749364587670282684877e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.786
y[1] (analytic) = 214904787.4380832423594317399404
y[1] (numeric) = 214904787.43808324235397793367386
absolute error = 5.45380626654e-12
relative error = 2.5377779301967899670433242429896e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.787
y[1] (analytic) = 215335027.10921732877892648480766
y[1] (numeric) = 215335027.10921732877346176001344
absolute error = 5.46472479422e-12
relative error = 2.5377779303170713300472794612392e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.788
y[1] (analytic) = 215766128.12074696547549708715084
y[1] (numeric) = 215766128.12074696547002142197003
absolute error = 5.47566518081e-12
relative error = 2.5377779304385117197304600885567e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.789
y[1] (analytic) = 216198092.1970767733691156796199
y[1] (numeric) = 216198092.19707677336362905214985
absolute error = 5.48662747005e-12
relative error = 2.5377779305511304601135493455652e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.79
y[1] (analytic) = 216630921.06606363373119240338548
y[1] (numeric) = 216630921.06606363372569479167966
absolute error = 5.49761170582e-12
relative error = 2.5377779306692102753750740116326e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.791
y[1] (analytic) = 217064616.4590235996144043032616
y[1] (numeric) = 217064616.45902359960889568532955
absolute error = 5.50861793205e-12
relative error = 2.5377779307895121846436893434124e-18 %
Correct digits = 19
h = 0.001
memory used=1171.1MB, alloc=4.6MB, time=57.71
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.792
y[1] (analytic) = 217499180.11073882111921596012572
y[1] (numeric) = 217499180.11073882111369631393297
absolute error = 5.51964619275e-12
relative error = 2.5377779309051623259876162686581e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.793
y[1] (analytic) = 217934613.75946448452479293595232
y[1] (numeric) = 217934613.75946448451926223942027
absolute error = 5.53069653205e-12
relative error = 2.5377779310239617227598967373362e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.794
y[1] (analytic) = 218370919.14693576531206456436579
y[1] (numeric) = 218370919.14693576530652279537166
absolute error = 5.54176899413e-12
relative error = 2.5377779311361036013062194132439e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.795
y[1] (analytic) = 218808098.01837479510674818823481
y[1] (numeric) = 218808098.0183747951011953246115
absolute error = 5.55286362331e-12
relative error = 2.5377779312554001108622347881116e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.796
y[1] (analytic) = 219246152.12249764257020262569406
y[1] (numeric) = 219246152.12249764256463864523011
absolute error = 5.56398046395e-12
relative error = 2.5377779313733551229673510343313e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.797
y[1] (analytic) = 219685083.21152130826603443731532
y[1] (numeric) = 219685083.2115213082604593177548
absolute error = 5.57511956052e-12
relative error = 2.5377779314911695294410003552558e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.798
y[1] (analytic) = 220124893.04117073353043647017926
y[1] (numeric) = 220124893.0411707335248501892217
absolute error = 5.58628095756e-12
relative error = 2.5377779316013924014428338319488e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.799
y[1] (analytic) = 220565583.37068582337429416954747
y[1] (numeric) = 220565583.37068582336869670484772
absolute error = 5.59746469975e-12
relative error = 2.5377779317196631617698186944591e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.8
y[1] (analytic) = 221007155.96282848344515127592358
y[1] (numeric) = 221007155.96282848343954260509178
absolute error = 5.60867083180e-12
relative error = 2.5377779318346282615650718624086e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.801
y[1] (analytic) = 221449612.58388967107718276474922
y[1] (numeric) = 221449612.58388967107156286535068
absolute error = 5.61989939854e-12
relative error = 2.5377779319487707119915801117477e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.802
y[1] (analytic) = 221892955.00369646045737923802767
y[1] (numeric) = 221892955.00369646045174808758278
absolute error = 5.63115044489e-12
relative error = 2.5377779320646714728933745897256e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.803
y[1] (analytic) = 222337184.99561912193620344203314
y[1] (numeric) = 222337184.99561912193056101801729
absolute error = 5.64242401585e-12
relative error = 2.5377779321804298982820900351387e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.804
y[1] (analytic) = 222782304.33657821551103616317083
y[1] (numeric) = 222782304.33657821550538244301432
absolute error = 5.65372015651e-12
relative error = 2.5377779322941162875537869804665e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.805
y[1] (analytic) = 223228314.80705169851078544522934
y[1] (numeric) = 223228314.80705169850512040631728
absolute error = 5.66503891206e-12
relative error = 2.5377779324081711659874660896148e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.806
y[1] (analytic) = 223675218.19108204751008987593912
y[1] (numeric) = 223675218.19108204750441349561133
absolute error = 5.67638032779e-12
relative error = 2.5377779325292808992652117927767e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.807
y[1] (analytic) = 224123016.27628339450160360914602
y[1] (numeric) = 224123016.27628339449591586469699
absolute error = 5.68774444903e-12
relative error = 2.5377779326414833641117386210106e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.808
y[1] (analytic) = 224571710.85384867735490782125516
y[1] (numeric) = 224571710.8538486773492086899339
absolute error = 5.69913132126e-12
relative error = 2.5377779327552952626865553914476e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.809
y[1] (analytic) = 225021303.71855680459065044712444
y[1] (numeric) = 225021303.71855680458493990613442
absolute error = 5.71054099002e-12
relative error = 2.5377779328673712186181568352109e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.81
y[1] (analytic) = 225471796.66877983449857330152012
y[1] (numeric) = 225471796.66877983449285132801917
absolute error = 5.72197350095e-12
relative error = 2.5377779329783016142233594407873e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.811
y[1] (analytic) = 225923191.50649016862814306781482
y[1] (numeric) = 225923191.50649016862240963891502
absolute error = 5.73342889980e-12
relative error = 2.5377779330969188848123218010885e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.812
y[1] (analytic) = 226375490.0372677596805601260433
y[1] (numeric) = 226375490.03726775967481521881095
absolute error = 5.74490723235e-12
relative error = 2.5377779332047948382693512368816e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.813
y[1] (analytic) = 226828694.07030733383097679796199
y[1] (numeric) = 226828694.07030733382522038941744
absolute error = 5.75640854455e-12
relative error = 2.5377779333181524188174988212828e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.814
y[1] (analytic) = 227282805.41842562750981430761473
y[1] (numeric) = 227282805.41842562750404637473234
absolute error = 5.76793288239e-12
relative error = 2.5377779334302420093939408502369e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.815
y[1] (analytic) = 227737825.8980686386721255923219
y[1] (numeric) = 227737825.89806863866634611202993
absolute error = 5.77948029197e-12
relative error = 2.5377779335422265755439289325361e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.816
y[1] (analytic) = 228193757.32931889258400905121235
y[1] (numeric) = 228193757.32931889257821800039287
absolute error = 5.79105081948e-12
relative error = 2.5377779336542576020817479777889e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.817
y[1] (analytic) = 228650601.53590272215513638664091
y[1] (numeric) = 228650601.53590272214933374212971
absolute error = 5.80264451120e-12
relative error = 2.5377779337654043475262170948270e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.818
y[1] (analytic) = 229108360.34519756284651587831
y[1] (numeric) = 229108360.34519756284070161689649
absolute error = 5.81426141351e-12
relative error = 2.5377779338779485924462364606590e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.819
y[1] (analytic) = 229567035.58823926218267073087485
y[1] (numeric) = 229567035.58823926217684482930198
absolute error = 5.82590157287e-12
relative error = 2.5377779339885597273454664758101e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1174.9MB, alloc=4.6MB, time=57.90
x[1] = 8.82
y[1] (analytic) = 230026629.09972940389747055349192
y[1] (numeric) = 230026629.09972940389163298845607
absolute error = 5.83756503585e-12
relative error = 2.5377779341013118937978344070645e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.821
y[1] (analytic) = 230487142.71804264674291256440177
y[1] (numeric) = 230487142.71804264673706331255267
absolute error = 5.84925184910e-12
relative error = 2.5377779342145134294339496497257e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.822
y[1] (analytic) = 230948578.28523407799020776545645
y[1] (numeric) = 230948578.28523407798434680339709
absolute error = 5.86096205936e-12
relative error = 2.5377779343250134701366758242622e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.823
y[1] (analytic) = 231410937.64704658165258610074068
y[1] (numeric) = 231410937.6470465816467134050272
absolute error = 5.87269571348e-12
relative error = 2.5377779344367784247350493759972e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.824
y[1] (analytic) = 231874222.65291822145929350033176
y[1] (numeric) = 231874222.65291822145340904747338
absolute error = 5.88445285838e-12
relative error = 2.5377779345434894635214150787498e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.825
y[1] (analytic) = 232338435.15598963861031271503042
y[1] (numeric) = 232338435.1559896386044164814893
absolute error = 5.89623354112e-12
relative error = 2.5377779346586927690175959047064e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.826
y[1] (analytic) = 232803577.01311146434139897080946
y[1] (numeric) = 232803577.01311146433549093300068
absolute error = 5.90803780878e-12
relative error = 2.5377779347639749328334118298357e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.827
y[1] (analytic) = 233269650.08485174732908071300654
y[1] (numeric) = 233269650.08485174732316084729792
absolute error = 5.91986570862e-12
relative error = 2.5377779348777910366497888892853e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.828
y[1] (analytic) = 233736656.2355033959653350701668
y[1] (numeric) = 233736656.23550339595940335287888
absolute error = 5.93171728792e-12
relative error = 2.5377779349865631606570475421935e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.829
y[1] (analytic) = 234204597.33309163553170714616081
y[1] (numeric) = 234204597.33309163552576355356671
absolute error = 5.94359259410e-12
relative error = 2.5377779350961561056913960449725e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.83
y[1] (analytic) = 234673475.24938148030270184699736
y[1] (numeric) = 234673475.2493814802967463553227
absolute error = 5.95549167466e-12
relative error = 2.5377779352060354577302982553215e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.831
y[1] (analytic) = 235143291.85988522060833666586156
y[1] (numeric) = 235143291.85988522060236925128437
absolute error = 5.96741457719e-12
relative error = 2.5377779353135032044693937714280e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.832
y[1] (analytic) = 235614049.04386992488580368657206
y[1] (numeric) = 235614049.04386992487982432522267
absolute error = 5.97936134939e-12
relative error = 2.5377779354221270251850785374374e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.833
y[1] (analytic) = 236085748.68436495675024902210798
y[1] (numeric) = 236085748.68436495674425769006894
absolute error = 5.99133203904e-12
relative error = 2.5377779355288897528453734238433e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.834
y[1] (analytic) = 236558392.66816950711473798134636
y[1] (numeric) = 236558392.66816950710873465465232
absolute error = 6.00332669404e-12
relative error = 2.5377779356410833549123891929460e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.835
y[1] (analytic) = 237031982.88586014138953445391328
y[1] (numeric) = 237031982.88586014138351910855094
absolute error = 6.01534536234e-12
relative error = 2.5377779357465933817499863972747e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.836
y[1] (analytic) = 237506521.23179836179088332032952
y[1] (numeric) = 237506521.23179836178485593223748
absolute error = 6.02738809204e-12
relative error = 2.5377779358561158490444267599562e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.837
y[1] (analytic) = 237982009.60413818478954513266304
y[1] (numeric) = 237982009.60413818478350567773174
absolute error = 6.03945493130e-12
relative error = 2.5377779359650310556338216029806e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.838
y[1] (analytic) = 238458449.90483373372939286993064
y[1] (numeric) = 238458449.90483373372334132400226
absolute error = 6.05154592838e-12
relative error = 2.5377779360702497680402316971576e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.839
y[1] (analytic) = 238935844.03964684664644125275916
y[1] (numeric) = 238935844.0396468466403775916275
absolute error = 6.06366113166e-12
relative error = 2.5377779361784877590053391864389e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.84
y[1] (analytic) = 239414193.91815469931873990356714
y[1] (numeric) = 239414193.91815469931266410297756
absolute error = 6.07580058958e-12
relative error = 2.5377779362810260040688661057699e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.841
y[1] (analytic) = 239893501.45375744357762256200392
y[1] (numeric) = 239893501.45375744357153459765319
absolute error = 6.08796435073e-12
relative error = 2.5377779363913004513423190498971e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.842
y[1] (analytic) = 240373768.56368586091086561082708
y[1] (numeric) = 240373768.56368586090476545836335
absolute error = 6.10015246373e-12
relative error = 2.5377779364946779844396223994349e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.843
y[1] (analytic) = 240854997.1690090313883703350576
y[1] (numeric) = 240854997.16900903138225797008024
absolute error = 6.11236497736e-12
relative error = 2.5377779366026298763318264267083e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.844
y[1] (analytic) = 241337189.19464201794104462736648
y[1] (numeric) = 241337189.19464201793492002542604
absolute error = 6.12460194044e-12
relative error = 2.5377779367026678234572961433558e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.845
y[1] (analytic) = 241820346.5693535660236212654659
y[1] (numeric) = 241820346.56935356601748440206394
absolute error = 6.13686340196e-12
relative error = 2.5377779368122609579752690648919e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.846
y[1] (analytic) = 242304471.2257738186922114230437
y[1] (numeric) = 242304471.22577381868606227363276
absolute error = 6.14914941094e-12
relative error = 2.5377779369206777211658490224891e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.847
y[1] (analytic) = 242789565.10040204712745373474246
y[1] (numeric) = 242789565.10040204712129227472594
absolute error = 6.16146001652e-12
relative error = 2.5377779370262552262807407168259e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.848
y[1] (analytic) = 243275630.13361439663418101808655
y[1] (numeric) = 243275630.13361439662800722281861
absolute error = 6.17379526794e-12
relative error = 2.5377779371280071585431913298597e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=1178.7MB, alloc=4.6MB, time=58.08
TOP MAIN SOLVE Loop
x[1] = 8.849
y[1] (analytic) = 243762668.26967164814858866135209
y[1] (numeric) = 243762668.26967164814240250613753
absolute error = 6.18615521456e-12
relative error = 2.5377779372337409805140936596460e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.85
y[1] (analytic) = 244250681.45672699528395071640203
y[1] (numeric) = 244250681.45672699527775217649623
absolute error = 6.19853990580e-12
relative error = 2.5377779373353243915128945738271e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.851
y[1] (analytic) = 244739671.64683383694599188972024
y[1] (numeric) = 244739671.64683383693978094032902
absolute error = 6.21094939122e-12
relative error = 2.5377779374414512447712684847364e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.852
y[1] (analytic) = 245229640.7959535855490859035225
y[1] (numeric) = 245229640.79595358554286251980206
absolute error = 6.22338372044e-12
relative error = 2.5377779375447704905649893636689e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.853
y[1] (analytic) = 245720590.86396349086451310214908
y[1] (numeric) = 245720590.86396349085827725920588
absolute error = 6.23584294320e-12
relative error = 2.5377779376463832923080887420124e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.854
y[1] (analytic) = 246212523.81466447953207270720086
y[1] (numeric) = 246212523.81466447952582438009151
absolute error = 6.24832710935e-12
relative error = 2.5377779377516165462209349008256e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.855
y[1] (analytic) = 246705441.61578901026640777832086
y[1] (numeric) = 246705441.61578901026014694205204
absolute error = 6.26083626882e-12
relative error = 2.5377779378577395679354199907040e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.856
y[1] (analytic) = 247199346.23900894478946371539456
y[1] (numeric) = 247199346.23900894478319034492292
absolute error = 6.27337047164e-12
relative error = 2.5377779379620542076098709096849e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.857
y[1] (analytic) = 247694239.6599434345205640424977
y[1] (numeric) = 247694239.65994343451427811272975
absolute error = 6.28592976795e-12
relative error = 2.5377779380658510652817685737308e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.858
y[1] (analytic) = 248190123.85816682305565024441013
y[1] (numeric) = 248190123.85816682304935173020215
absolute error = 6.29851420798e-12
relative error = 2.5377779381662306085531351715193e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.859
y[1] (analytic) = 248687000.8172165644672955831918
y[1] (numeric) = 248687000.81721656446098445934972
absolute error = 6.31112384208e-12
relative error = 2.5377779382681275334361035548190e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.86
y[1] (analytic) = 249184872.52460115745716610543386
y[1] (numeric) = 249184872.52460115745084234671317
absolute error = 6.32375872069e-12
relative error = 2.5377779383721125581039646698251e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.861
y[1] (analytic) = 249683740.9718080953926654606078
y[1] (numeric) = 249683740.97180809538632904171346
absolute error = 6.33641889434e-12
relative error = 2.5377779384743550183993242815264e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.862
y[1] (analytic) = 250183608.1543118322595636876919
y[1] (numeric) = 250183608.15431183225321458327823
absolute error = 6.34910441367e-12
relative error = 2.5377779385745801396814857260167e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.863
y[1] (analytic) = 250684476.07158176456247379121146
y[1] (numeric) = 250684476.07158176455611197588204
absolute error = 6.36181532942e-12
relative error = 2.5377779386719637839965145531381e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.864
y[1] (analytic) = 251186346.72709022920510371924164
y[1] (numeric) = 251186346.72709022919872916754918
absolute error = 6.37455169246e-12
relative error = 2.5377779387770004696950170002624e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.865
y[1] (analytic) = 251689222.12832051738227527504455
y[1] (numeric) = 251689222.12832051737588796149085
absolute error = 6.38731355370e-12
relative error = 2.5377779388755511425203782430787e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.866
y[1] (analytic) = 252193104.28677490451576554110172
y[1] (numeric) = 252193104.28677490450936544013751
absolute error = 6.40010096421e-12
relative error = 2.5377779389765906282186524515477e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.867
y[1] (analytic) = 252697995.21798269626609056961384
y[1] (numeric) = 252697995.21798269625967765563871
absolute error = 6.41291397513e-12
relative error = 2.5377779390762808478775218369431e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.868
y[1] (analytic) = 253203896.94150829065241539733088
y[1] (numeric) = 253203896.94150829064598964469316
absolute error = 6.42575263772e-12
relative error = 2.5377779391777645886986409306498e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.869
y[1] (analytic) = 253710811.48095925631283887510193
y[1] (numeric) = 253710811.4809592563064002580986
absolute error = 6.43861700333e-12
relative error = 2.5377779392791906279356448217073e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.87
y[1] (analytic) = 254218740.86399442693736636405524
y[1] (numeric) = 254218740.86399442693091485693182
absolute error = 6.45150712342e-12
relative error = 2.5377779393815499343980199477889e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.871
y[1] (analytic) = 254727687.1223320119059480410917
y[1] (numeric) = 254727687.12233201189948361804215
absolute error = 6.46442304955e-12
relative error = 2.5377779394846407838356127981444e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.872
y[1] (analytic) = 255237652.29175772316402537665924
y[1] (numeric) = 255237652.29175772315754801182587
absolute error = 6.47736483337e-12
relative error = 2.5377779395830819132098444051734e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.873
y[1] (analytic) = 255748638.41213291836809329782994
y[1] (numeric) = 255748638.41213291836160296530328
absolute error = 6.49033252666e-12
relative error = 2.5377779396819238253332230493994e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.874
y[1] (analytic) = 256260647.52740276033385062978586
y[1] (numeric) = 256260647.52740276032734730360457
absolute error = 6.50332618129e-12
relative error = 2.5377779397808548787642161003667e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.875
y[1] (analytic) = 256773681.68560439281957661919483
y[1] (numeric) = 256773681.68560439281306027334559
absolute error = 6.51634584924e-12
relative error = 2.5377779398819628107302433038182e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.876
y[1] (analytic) = 257287742.9388751326774366838832
y[1] (numeric) = 257287742.93887513267090729230063
absolute error = 6.52939158257e-12
relative error = 2.5377779399779698789432089645552e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.877
y[1] (analytic) = 257802833.3434606784054860049515
y[1] (numeric) = 257802833.34346067839894354151801
memory used=1182.6MB, alloc=4.6MB, time=58.28
absolute error = 6.54246343349e-12
relative error = 2.5377779400793980687475731777518e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.878
y[1] (analytic) = 258318954.95972333513320518029198
y[1] (numeric) = 258318954.95972333512664961883772
absolute error = 6.55556145426e-12
relative error = 2.5377779401755989280879425636375e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.879
y[1] (analytic) = 258836109.85215025607346789261756
y[1] (numeric) = 258836109.85215025606689920692027
absolute error = 6.56868569729e-12
relative error = 2.5377779402735183225085625678696e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.88
y[1] (analytic) = 259354300.08936170047390641086112
y[1] (numeric) = 259354300.08936170046732457464603
absolute error = 6.58183621509e-12
relative error = 2.5377779403781616415175672720755e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.881
y[1] (analytic) = 259873527.74411930810070674141799
y[1] (numeric) = 259873527.74411930809411172835777
absolute error = 6.59501306022e-12
relative error = 2.5377779404732919749143106689635e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.882
y[1] (analytic) = 260393794.8933343902879313754449
y[1] (numeric) = 260393794.89333439028132315915948
absolute error = 6.60821628542e-12
relative error = 2.5377779405714857043536516615486e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.883
y[1] (analytic) = 260915103.61807623758553384056088
y[1] (numeric) = 260915103.61807623757891239461738
absolute error = 6.62144594350e-12
relative error = 2.5377779406716051948979363770127e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.884
y[1] (analytic) = 261437456.00358044403929566008542
y[1] (numeric) = 261437456.00358044403266095799806
absolute error = 6.63470208736e-12
relative error = 2.5377779407665045061443933045591e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.885
y[1] (analytic) = 261960854.1392572481359828506607
y[1] (numeric) = 261960854.13925724812933486589064
absolute error = 6.64798477006e-12
relative error = 2.5377779408697302062325707879784e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.886
y[1] (analytic) = 262485300.11869989044708575000502
y[1] (numeric) = 262485300.11869989044042445596033
absolute error = 6.66129404469e-12
relative error = 2.5377779409657075517308575594692e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.887
y[1] (analytic) = 263010796.03969298800457276090051
y[1] (numeric) = 263010796.03969298799789813093601
absolute error = 6.67462996450e-12
relative error = 2.5377779410593776942421054159006e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.888
y[1] (analytic) = 263537344.00422092544215552559572
y[1] (numeric) = 263537344.00422092543546753301286
absolute error = 6.68799258286e-12
relative error = 2.5377779411607344290515942500009e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.889
y[1] (analytic) = 264064946.11847626293563010687198
y[1] (numeric) = 264064946.11847626292892872491879
absolute error = 6.70138195319e-12
relative error = 2.5377779412581840883918508665013e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.89
y[1] (analytic) = 264593604.49286816097592594834907
y[1] (numeric) = 264593604.49286816096921115022002
absolute error = 6.71479812905e-12
relative error = 2.5377779413526944252221087078301e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.891
y[1] (analytic) = 265123321.2420308220085617174588
y[1] (numeric) = 265123321.24203082200183347629468
absolute error = 6.72824116412e-12
relative error = 2.5377779414500451235508247465791e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.892
y[1] (analytic) = 265654098.48483194897327460016552
y[1] (numeric) = 265654098.48483194896653288905336
absolute error = 6.74171111216e-12
relative error = 2.5377779415456417108952017259298e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.893
y[1] (analytic) = 266185938.34438122077765721722886
y[1] (numeric) = 266185938.3443812207709020092018
absolute error = 6.75520802706e-12
relative error = 2.5377779416433220239991138242591e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.894
y[1] (analytic) = 266718842.9480387847387040678568
y[1] (numeric) = 266718842.948038784731935335894
absolute error = 6.76873196280e-12
relative error = 2.5377779417401942835967189696125e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.895
y[1] (analytic) = 267252814.42742376602623727825832
y[1] (numeric) = 267252814.42742376601945499528485
absolute error = 6.78228297347e-12
relative error = 2.5377779418341069170667467256040e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.896
y[1] (analytic) = 267787854.91842279414224944014446
y[1] (numeric) = 267787854.91842279413545357903116
absolute error = 6.79586111330e-12
relative error = 2.5377779419347633730083492352182e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.897
y[1] (analytic) = 268323966.56119854647026946791762
y[1] (numeric) = 268323966.56119854646346000148106
absolute error = 6.80946643656e-12
relative error = 2.5377779420262545898362062368605e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.898
y[1] (analytic) = 268861151.50019830892892568340434
y[1] (numeric) = 268861151.50019830892210258440664
absolute error = 6.82309899770e-12
relative error = 2.5377779421193051610301055175704e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.899
y[1] (analytic) = 269399411.88416255376394875379763
y[1] (numeric) = 269399411.88416255375711199494637
absolute error = 6.83675885126e-12
relative error = 2.5377779422175194500448971855731e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.9
y[1] (analytic) = 269938749.86613353451292566225797
y[1] (numeric) = 269938749.86613353450607521620611
absolute error = 6.85044605186e-12
relative error = 2.5377779423136669460334650947358e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.901
y[1] (analytic) = 270479167.60346389817718458164874
y[1] (numeric) = 270479167.6034638981703204209945
absolute error = 6.86416065424e-12
relative error = 2.5377779424044981259813882269137e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.902
y[1] (analytic) = 271020667.25782531463525935042847
y[1] (numeric) = 271020667.25782531462838144771518
absolute error = 6.87790271329e-12
relative error = 2.5377779425016934354311797822890e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.903
y[1] (analytic) = 271563250.99521712333245121606358
y[1] (numeric) = 271563250.99521712332555954377963
absolute error = 6.89167228395e-12
relative error = 2.5377779425948096302214936739905e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.904
y[1] (analytic) = 272106920.9859749972810746157378
y[1] (numeric) = 272106920.98597499727416914631649
absolute error = 6.90546942131e-12
relative error = 2.5377779426881697821505629737004e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.905
y[1] (analytic) = 272651679.40477962440604300689303
y[1] (numeric) = 272651679.40477962439912371271246
absolute error = 6.91929418057e-12
relative error = 2.5377779427859646427967044820429e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1186.4MB, alloc=4.6MB, time=58.47
x[1] = 8.906
y[1] (analytic) = 273197528.43066540627052014152036
y[1] (numeric) = 273197528.43066540626358699490335
absolute error = 6.93314661701e-12
relative error = 2.5377779428811919235400498288156e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.907
y[1] (analytic) = 273744470.24702917421643169840458
y[1] (numeric) = 273744470.24702917420948467161854
absolute error = 6.94702678604e-12
relative error = 2.5377779429739523519962608070200e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.908
y[1] (analytic) = 274292507.04163892295470184699014
y[1] (numeric) = 274292507.04163892294774091224695
absolute error = 6.96093474319e-12
relative error = 2.5377779430676524450318443792585e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.909
y[1] (analytic) = 274841641.00664256164014911545972
y[1] (numeric) = 274841641.00664256163317424491564
absolute error = 6.97487054408e-12
relative error = 2.5377779431579752996146690555164e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.91
y[1] (analytic) = 275391874.33857668246604587427698
y[1] (numeric) = 275391874.3385766824590570400325
absolute error = 6.98883424448e-12
relative error = 2.5377779432546639453033776155980e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.911
y[1] (analytic) = 275943209.23837534681341582512268
y[1] (numeric) = 275943209.23837534680641299922247
absolute error = 7.00282590021e-12
relative error = 2.5377779433450609129492437254380e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.912
y[1] (analytic) = 276495647.91137888899021410412942
y[1] (numeric) = 276495647.91137888898319725856216
absolute error = 7.01684556726e-12
relative error = 2.5377779434376511446703647008876e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.913
y[1] (analytic) = 277049192.5673427375956049678732
y[1] (numeric) = 277049192.56734273758857407457149
absolute error = 7.03089330171e-12
relative error = 2.5377779435328947434948768815232e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.914
y[1] (analytic) = 277603845.42044625454462253099481
y[1] (numeric) = 277603845.42044625453757756183507
absolute error = 7.04496915974e-12
relative error = 2.5377779436268282549766046631410e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.915
y[1] (analytic) = 278159608.68930159178857066587914
y[1] (numeric) = 278159608.68930159178151159268149
absolute error = 7.05907319765e-12
relative error = 2.5377779437182181526122460195156e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.916
y[1] (analytic) = 278716484.59696256576658895780103
y[1] (numeric) = 278716484.59696256575951575232916
absolute error = 7.07320547187e-12
relative error = 2.5377779438120407952480690015692e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.917
y[1] (analytic) = 279274475.37093354962388253363404
y[1] (numeric) = 279274475.37093354961679516759513
absolute error = 7.08736603891e-12
relative error = 2.5377779439014361019260427114724e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.918
y[1] (analytic) = 279833583.24317838323218464889786
y[1] (numeric) = 279833583.24317838322508309394243
absolute error = 7.10155495543e-12
relative error = 2.5377779439927596630799780043480e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.919
y[1] (analytic) = 280393810.4501293010480921268746
y[1] (numeric) = 280393810.45012930104097635459641
absolute error = 7.11577227819e-12
relative error = 2.5377779440875381229443411858543e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.92
y[1] (analytic) = 280955159.2326958778449850950396
y[1] (numeric) = 280955159.23269587783785507697556
absolute error = 7.13001806404e-12
relative error = 2.5377779441788770766215210037448e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.921
y[1] (analytic) = 281517631.83627399235431395841338
y[1] (numeric) = 281517631.83627399234716966604341
absolute error = 7.14429236997e-12
relative error = 2.5377779442692252082685768385356e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.922
y[1] (analytic) = 282081230.51075480885210818693407
y[1] (numeric) = 282081230.51075480884494959168099
absolute error = 7.15859525308e-12
relative error = 2.5377779443595651902096932692100e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.923
y[1] (analytic) = 282645957.51053377672663327486099
y[1] (numeric) = 282645957.51053377671946034809041
absolute error = 7.17292677058e-12
relative error = 2.5377779444493474269887487501487e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.924
y[1] (analytic) = 283211815.09451964806319415483656
y[1] (numeric) = 283211815.09451964805600686785676
absolute error = 7.18728697980e-12
relative error = 2.5377779445399554457837401909266e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.925
y[1] (analytic) = 283778805.52614351328215541784376
y[1] (numeric) = 283778805.52614351327495374190558
absolute error = 7.20167593818e-12
relative error = 2.5377779446310819311605574890848e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.926
y[1] (analytic) = 284346931.07336785486632090318741
y[1] (numeric) = 284346931.07336785485910480948414
absolute error = 7.21609370327e-12
relative error = 2.5377779447206647574781952407670e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.927
y[1] (analytic) = 284916194.0086956192138875800894
y[1] (numeric) = 284916194.00869561920665703975666
absolute error = 7.23054033274e-12
relative error = 2.5377779448083335317280860496257e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.928
y[1] (analytic) = 285486596.6091793066532611448091
y[1] (numeric) = 285486596.6091793066460161289247
absolute error = 7.24501588440e-12
relative error = 2.5377779449023175542870959480339e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.929
y[1] (analytic) = 286058141.15643007965609340467131
y[1] (numeric) = 286058141.1564300796488338842552
absolute error = 7.25952041611e-12
relative error = 2.5377779449878169833875791111441e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.93
y[1] (analytic) = 286630829.93662688928497431329588
y[1] (numeric) = 286630829.93662688927770025930995
absolute error = 7.27405398593e-12
relative error = 2.5377779450794838876322986924930e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.931
y[1] (analytic) = 287204665.24052561991228445996523
y[1] (numeric) = 287204665.24052561990499584331326
absolute error = 7.28861665197e-12
relative error = 2.5377779451688202437051155459578e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.932
y[1] (analytic) = 287779649.36346825224678690073322
y[1] (numeric) = 287779649.36346825223948369226073
absolute error = 7.30320847249e-12
relative error = 2.5377779452590766265276853456803e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.933
y[1] (analytic) = 288355784.60539204470461044985966
y[1] (numeric) = 288355784.60539204469729262035381
absolute error = 7.31782950585e-12
relative error = 2.5377779453477146852018125507116e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.934
y[1] (analytic) = 288933073.27083873316134992774568
y[1] (numeric) = 288933073.27083873315401744793514
absolute error = 7.33247981054e-12
relative error = 2.5377779454367670682445293740732e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=1190.2MB, alloc=4.6MB, time=58.65
TOP MAIN SOLVE Loop
x[1] = 8.935
y[1] (analytic) = 289511517.66896374912208238603721
y[1] (numeric) = 289511517.66896374911473522659205
absolute error = 7.34715944516e-12
relative error = 2.5377779455258028685667905570272e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.936
y[1] (analytic) = 290091120.11354545634617200225238
y[1] (numeric) = 290091120.11354545633881013378395
absolute error = 7.36186846843e-12
relative error = 2.5377779456153185421872195978853e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.937
y[1] (analytic) = 290671882.9229944059638101554679
y[1] (numeric) = 290671882.92299440595643354852872
absolute error = 7.37660693918e-12
relative error = 2.5377779457032075518663669115487e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.938
y[1] (analytic) = 291253808.42036261012131116156494
y[1] (numeric) = 291253808.42036261011391978664856
absolute error = 7.39137491638e-12
relative error = 2.5377779457950058417684689258747e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.939
y[1] (analytic) = 291836898.93335283419225826158219
y[1] (numeric) = 291836898.93335283418485208912312
absolute error = 7.40617245907e-12
relative error = 2.5377779458797487686513481493173e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.94
y[1] (analytic) = 292421156.79432790759166872014988
y[1] (numeric) = 292421156.79432790758424772052341
absolute error = 7.42099962647e-12
relative error = 2.5377779459676718952824886050387e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.941
y[1] (analytic) = 293006584.34032005323042130307928
y[1] (numeric) = 293006584.34032005322298544660141
absolute error = 7.43585647787e-12
relative error = 2.5377779460523770152293431472718e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.942
y[1] (analytic) = 293593183.91304023564726396425721
y[1] (numeric) = 293593183.91304023563981322118449
absolute error = 7.45074307272e-12
relative error = 2.5377779461415717749634185119820e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.943
y[1] (analytic) = 294180957.85888752785579428234012
y[1] (numeric) = 294180957.85888752784832862286957
absolute error = 7.46565947055e-12
relative error = 2.5377779462296540612445474947584e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.944
y[1] (analytic) = 294769908.52895849694388004765896
y[1] (numeric) = 294769908.52895849693639944192793
absolute error = 7.48060573103e-12
relative error = 2.5377779463181187135908093399783e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.945
y[1] (analytic) = 295360038.27905660846306240953106
y[1] (numeric) = 295360038.27905660845556682761712
absolute error = 7.49558191394e-12
relative error = 2.5377779464052489499063372409452e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.946
y[1] (analytic) = 295951349.46970164964555915413096
y[1] (numeric) = 295951349.46970164963804856605178
absolute error = 7.51058807918e-12
relative error = 2.5377779464894465208191614749693e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.947
y[1] (analytic) = 296543844.46613917148656099349752
y[1] (numeric) = 296543844.46613917147903536921072
absolute error = 7.52562428680e-12
relative error = 2.5377779465792663379809521335457e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.948
y[1] (analytic) = 297137525.63834994972958920745186
y[1] (numeric) = 297137525.63834994972204851685495
absolute error = 7.54069059691e-12
relative error = 2.5377779466629452988909722777981e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.949
y[1] (analytic) = 297732395.36105946479275859247156
y[1] (numeric) = 297732395.36105946478520280540176
absolute error = 7.55578706980e-12
relative error = 2.5377779467488287688143645538946e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.95
y[1] (analytic) = 298328456.01374740067386543521249
y[1] (numeric) = 298328456.01374740066629452144664
absolute error = 7.57091376585e-12
relative error = 2.5377779468349212712834901766749e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.951
y[1] (analytic) = 298925709.98065716287229614369569
y[1] (numeric) = 298925709.98065716286471007295013
absolute error = 7.58607074556e-12
relative error = 2.5377779469189445949414382181364e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.952
y[1] (analytic) = 299524159.65080541536582823648418
y[1] (numeric) = 299524159.65080541535822697841461
absolute error = 7.60125806957e-12
relative error = 2.5377779470049371513074277232281e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.953
y[1] (analytic) = 300123807.41799163668047160976974
y[1] (numeric) = 300123807.41799163667285513397111
absolute error = 7.61647579863e-12
relative error = 2.5377779470931142838759934537653e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.954
y[1] (analytic) = 300724655.68080769509157437447604
y[1] (numeric) = 300724655.68080769508394265048245
absolute error = 7.63172399359e-12
relative error = 2.5377779471765001946000726687192e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.955
y[1] (analytic) = 301326706.8426474429944940805686
y[1] (numeric) = 301326706.84264744298684707785315
absolute error = 7.64700271545e-12
relative error = 2.5377779472575122560017671843907e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.956
y[1] (analytic) = 301929963.31171633048321182404878
y[1] (numeric) = 301929963.31171633047554951202343
absolute error = 7.66231202535e-12
relative error = 2.5377779473444746213298572632681e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.957
y[1] (analytic) = 302534427.50104103817534356390634
y[1] (numeric) = 302534427.50104103816766591192184
absolute error = 7.67765198450e-12
relative error = 2.5377779474283404531743153945886e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.958
y[1] (analytic) = 303140101.82847912932207996191984
y[1] (numeric) = 303140101.82847912931438693926557
absolute error = 7.69302265427e-12
relative error = 2.5377779475124735662474782856391e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.959
y[1] (analytic) = 303746988.7167287212416631979334
y[1] (numeric) = 303746988.71672872123395477383727
absolute error = 7.70842409613e-12
relative error = 2.5377779475926907193779258719483e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.96
y[1] (analytic) = 304355090.59333817611508650741261
y[1] (numeric) = 304355090.5933381761073626510409
absolute error = 7.72385637171e-12
relative error = 2.5377779476769698878381145160290e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.961
y[1] (analytic) = 304964409.89071581118277963699853
y[1] (numeric) = 304964409.8907158111750403174558
absolute error = 7.73931954273e-12
relative error = 2.5377779477622946376576617651240e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.962
y[1] (analytic) = 305574949.04613962838112101774882
y[1] (numeric) = 305574949.04613962837336620407779
absolute error = 7.75481367103e-12
relative error = 2.5377779478445003964400590820663e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1194.0MB, alloc=4.6MB, time=58.84
x[1] = 8.963
y[1] (analytic) = 306186710.50176706345769521508732
y[1] (numeric) = 306186710.50176706344992487626872
absolute error = 7.77033881860e-12
relative error = 2.5377779479280031826347723709952e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.964
y[1] (analytic) = 306799696.70464475460429212949081
y[1] (numeric) = 306799696.70464475459650623444327
absolute error = 7.78589504754e-12
relative error = 2.5377779480125954250700452696037e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.965
y[1] (analytic) = 307413910.10671833064672249293454
y[1] (numeric) = 307413910.10671833063892101051447
absolute error = 7.80148242007e-12
relative error = 2.5377779480966641159050325532515e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.966
y[1] (analytic) = 308029353.16484221883060243340951
y[1] (numeric) = 308029353.16484221882278533241098
absolute error = 7.81710099853e-12
relative error = 2.5377779481771240551971333545970e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.967
y[1] (analytic) = 308646028.34078947224233826372678
y[1] (numeric) = 308646028.34078947223450551288137
absolute error = 7.83275084541e-12
relative error = 2.5377779482590716908384997508012e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.968
y[1] (analytic) = 309263938.10126161690462119165112
y[1] (numeric) = 309263938.1012616168967727596278
absolute error = 7.84843202332e-12
relative error = 2.5377779483459222510631022038799e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.969
y[1] (analytic) = 309883084.91789851858582034647236
y[1] (numeric) = 309883084.91789851857795620187741
absolute error = 7.86414459495e-12
relative error = 2.5377779484264374387070792349994e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.97
y[1] (analytic) = 310503471.26728826936274137274242
y[1] (numeric) = 310503471.26728826935486148411925
absolute error = 7.87988862317e-12
relative error = 2.5377779485069966387481596857361e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.971
y[1] (analytic) = 311125099.6309770939762968553942
y[1] (numeric) = 311125099.63097709396840119122325
absolute error = 7.89566417095e-12
relative error = 2.5377779485856274322770491438490e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.972
y[1] (analytic) = 311747972.4954792760197140121328
y[1] (numeric) = 311747972.49547927601180254083138
absolute error = 7.91147130142e-12
relative error = 2.5377779486712542890048759566638e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.973
y[1] (analytic) = 312372092.35228710399898441916448
y[1] (numeric) = 312372092.3522871039910571090867
absolute error = 7.92731007778e-12
relative error = 2.5377779487546971892761938523065e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.974
y[1] (analytic) = 312997461.69788083730534002532398
y[1] (numeric) = 312997461.69788083729739684476059
absolute error = 7.94318056339e-12
relative error = 2.5377779488375255547847377127869e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.975
y[1] (analytic) = 313624083.03373869213961935779196
y[1] (numeric) = 313624083.03373869213166027497023
absolute error = 7.95908282173e-12
relative error = 2.5377779489191163009720247624053e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.976
y[1] (analytic) = 314251958.86634684742846763018208
y[1] (numeric) = 314251958.86634684742049261326567
absolute error = 7.97501691641e-12
relative error = 2.5377779489997770337219685975535e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.977
y[1] (analytic) = 314881091.70720947077239443113938
y[1] (numeric) = 314881091.7072094707644034482282
absolute error = 7.99098291118e-12
relative error = 2.5377779490838317747399153595932e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.978
y[1] (analytic) = 315511484.07285876446579279904852
y[1] (numeric) = 315511484.07285876445778581817865
absolute error = 8.00698086987e-12
relative error = 2.5377779491604832809687322069167e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.979
y[1] (analytic) = 316143138.48486503162910377632316
y[1] (numeric) = 316143138.48486503162108076546665
absolute error = 8.02301085651e-12
relative error = 2.5377779492418406195905249417354e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.98
y[1] (analytic) = 316776057.46984676249339098535579
y[1] (numeric) = 316776057.46984676248535191242059
absolute error = 8.03907293520e-12
relative error = 2.5377779493215715055893342605670e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.981
y[1] (analytic) = 317410243.5594807408776703778751
y[1] (numeric) = 317410243.5594807408696152107049
absolute error = 8.05516717020e-12
relative error = 2.5377779494033597166704957767070e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.982
y[1] (analytic) = 318045699.29051217089942108050494
y[1] (numeric) = 318045699.29051217089134978687906
absolute error = 8.07129362588e-12
relative error = 2.5377779494850034700026874882046e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.983
y[1] (analytic) = 318682427.20476482395878419207062
y[1] (numeric) = 318682427.20476482395069673970388
absolute error = 8.08745236674e-12
relative error = 2.5377779495646691083813862819010e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.984
y[1] (analytic) = 319320429.84915120603703748297708
y[1] (numeric) = 319320429.84915120602893383951965
absolute error = 8.10364345743e-12
relative error = 2.5377779496470700075471535869546e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.985
y[1] (analytic) = 319959709.775682745350015204114
y[1] (numeric) = 319959709.7756827453418953371513
absolute error = 8.11986696270e-12
relative error = 2.5377779497276934730131594702276e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.986
y[1] (analytic) = 320600269.54148000039722363255086
y[1] (numeric) = 320600269.54148000038908750960341
absolute error = 8.13612294745e-12
relative error = 2.5377779498084076614722929120051e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.987
y[1] (analytic) = 321242111.7087828884474845640946
y[1] (numeric) = 321242111.7087828884393321526179
absolute error = 8.15241147670e-12
relative error = 2.5377779498879784613296321229270e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.988
y[1] (analytic) = 321885238.84496093450202070892202
y[1] (numeric) = 321885238.84496093449385197630642
absolute error = 8.16873261560e-12
relative error = 2.5377779499651263033033050301136e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.989
y[1] (analytic) = 322529653.52252354077597885629371
y[1] (numeric) = 322529653.52252354076779376986426
absolute error = 8.18508642945e-12
relative error = 2.5377779500446468400828433095020e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.99
y[1] (analytic) = 323175358.31913027673946874813481
y[1] (numeric) = 323175358.31913027673126727515115
absolute error = 8.20147298366e-12
relative error = 2.5377779501248923207607969769228e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.991
y[1] (analytic) = 323822355.81760118975927783935821
y[1] (numeric) = 323822355.81760118975105994701444
absolute error = 8.21789234377e-12
relative error = 2.5377779502039311911260867300510e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=1197.8MB, alloc=4.6MB, time=59.03
TOP MAIN SOLVE Loop
x[1] = 8.992
y[1] (analytic) = 324470648.6059271363825045255367
y[1] (numeric) = 324470648.60592713637427018096124
absolute error = 8.23434457546e-12
relative error = 2.5377779502825521333770419944482e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.993
y[1] (analytic) = 325120239.277280134303434986232
y[1] (numeric) = 325120239.27728013429518415648746
absolute error = 8.25082974454e-12
relative error = 2.5377779503610803789166249558568e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.994
y[1] (analytic) = 325771130.4300237350550715252908
y[1] (numeric) = 325771130.43002373504680417737384
absolute error = 8.26734791696e-12
relative error = 2.5377779504423711426189526260800e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.995
y[1] (analytic) = 326423324.66772341746680318805121
y[1] (numeric) = 326423324.66772341745851928889244
absolute error = 8.28389915877e-12
relative error = 2.5377779505194495051072190344533e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.996
y[1] (analytic) = 327076824.59915700192979250000032
y[1] (numeric) = 327076824.59915700192149201646413
absolute error = 8.30048353619e-12
relative error = 2.5377779505969293977148644354123e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.997
y[1] (analytic) = 327731632.83832508551173540231521
y[1] (numeric) = 327731632.83832508550341830119965
absolute error = 8.31710111556e-12
relative error = 2.5377779506755609189720013495813e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.998
y[1] (analytic) = 328387752.00446149796273485724088
y[1] (numeric) = 328387752.00446149795440110527753
absolute error = 8.33375196335e-12
relative error = 2.5377779507552331270955321334267e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 8.999
y[1] (analytic) = 329045184.72204377865411216074072
y[1] (numeric) = 329045184.72204377864576172459457
absolute error = 8.35043614615e-12
relative error = 2.5377779508318627115851426229990e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9
y[1] (analytic) = 329703933.62080367449206373163412
y[1] (numeric) = 329703933.62080367448369657790342
absolute error = 8.36715373070e-12
relative error = 2.5377779509064519501268263926806e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.001
y[1] (analytic) = 330364001.33573765884815504584552
y[1] (numeric) = 330364001.33573765883977114106164
absolute error = 8.38390478388e-12
relative error = 2.5377779509819302983343477153165e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.002
y[1] (analytic) = 331025390.50711747154872745176592
y[1] (numeric) = 331025390.50711747154032676239321
absolute error = 8.40068937271e-12
relative error = 2.5377779510630542935235080212370e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.003
y[1] (analytic) = 331688103.78050067996537783840739
y[1] (numeric) = 331688103.78050067995696033084309
absolute error = 8.41750756430e-12
relative error = 2.5377779511412339788778117910287e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.004
y[1] (analytic) = 332352143.80674126124875553235084
y[1] (numeric) = 332352143.80674126124032117292491
absolute error = 8.43435942593e-12
relative error = 2.5377779512186560953349369246599e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.005
y[1] (analytic) = 333017513.24200020574800537278406
y[1] (numeric) = 333017513.24200020573955412775906
absolute error = 8.45124502500e-12
relative error = 2.5377779512930817354471164477163e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.006
y[1] (analytic) = 333684214.74775614165827065654048
y[1] (numeric) = 333684214.74775614164980249211141
absolute error = 8.46816442907e-12
relative error = 2.5377779513697970461925721741925e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.007
y[1] (analytic) = 334352250.99081598093875455731638
y[1] (numeric) = 334352250.99081598093026943961057
absolute error = 8.48511770581e-12
relative error = 2.5377779514465030506981485689781e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.008
y[1] (analytic) = 335021624.64332558654392370550698
y[1] (numeric) = 335021624.64332558653542160058395
absolute error = 8.50210492303e-12
relative error = 2.5377779515222650548034524912498e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.009
y[1] (analytic) = 335692338.38278046101052286769864
y[1] (numeric) = 335692338.38278046100200374154995
absolute error = 8.51912614869e-12
relative error = 2.5377779516003972236746718994387e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.01
y[1] (analytic) = 336364394.89203645644315508812724
y[1] (numeric) = 336364394.89203645643461890667639
absolute error = 8.53618145085e-12
relative error = 2.5377779516734745377051570219351e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.011
y[1] (analytic) = 337037796.85932050594126724870356
y[1] (numeric) = 337037796.8593205059327139778058
absolute error = 8.55327089776e-12
relative error = 2.5377779517500623773825754949506e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.012
y[1] (analytic) = 337712546.97824137651046676985608
y[1] (numeric) = 337712546.97824137650189637529831
absolute error = 8.57039455777e-12
relative error = 2.5377779518278263879661553511410e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.013
y[1] (analytic) = 338388647.94780044350118111179558
y[1] (numeric) = 338388647.94780044349259355929621
absolute error = 8.58755249937e-12
relative error = 2.5377779519053809499600643106618e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.014
y[1] (analytic) = 339066102.47240248661775784520523
y[1] (numeric) = 339066102.47240248660915310041405
absolute error = 8.60474479118e-12
relative error = 2.5377779519792497127928216664898e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.015
y[1] (analytic) = 339744913.26186650754118934215134
y[1] (numeric) = 339744913.26186650753256737064936
absolute error = 8.62197150198e-12
relative error = 2.5377779520526358867982355332095e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.016
y[1] (analytic) = 340425083.03143656920873259253676
y[1] (numeric) = 340425083.03143656920009335983608
absolute error = 8.63923270068e-12
relative error = 2.5377779521264623375933224014764e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.017
y[1] (analytic) = 341106614.50179265679378127902884
y[1] (numeric) = 341106614.50179265678512475057251
absolute error = 8.65652845633e-12
relative error = 2.5377779522022450699585489960400e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.018
y[1] (analytic) = 341789510.39906156042943404443136
y[1] (numeric) = 341789510.39906156042076018559326
absolute error = 8.67385883810e-12
relative error = 2.5377779522761549069813869422255e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.019
y[1] (analytic) = 342473773.45482777971928986028399
y[1] (numeric) = 342473773.45482777971059863636867
absolute error = 8.69122391532e-12
relative error = 2.5377779523506697504447416458504e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.02
y[1] (analytic) = 343159406.40614445007908855440986
y[1] (numeric) = 343159406.40614445007037993065241
memory used=1201.6MB, alloc=4.6MB, time=59.21
absolute error = 8.70862375745e-12
relative error = 2.5377779524256886290601439501517e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.021
y[1] (analytic) = 343846411.99554429095290187854206
y[1] (numeric) = 343846411.99554429094417582010797
absolute error = 8.72605843409e-12
relative error = 2.5377779525013848339429133468964e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.022
y[1] (analytic) = 344534792.97105057594766799539077
y[1] (numeric) = 344534792.9710505759389244673758
absolute error = 8.74352801497e-12
relative error = 2.5377779525752199142910914680928e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.023
y[1] (analytic) = 345224552.08618812492994993791596
y[1] (numeric) = 345224552.08618812492118890534599
absolute error = 8.76103256997e-12
relative error = 2.5377779526476832875221716414686e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.024
y[1] (analytic) = 345915692.0999943181288864424955
y[1] (numeric) = 345915692.09999431812010787032638
absolute error = 8.77857216912e-12
relative error = 2.5377779527221812881938413665397e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.025
y[1] (analytic) = 346608215.77703013228939158247755
y[1] (numeric) = 346608215.77703013228059543559499
absolute error = 8.79614688256e-12
relative error = 2.5377779527933867973090404404419e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.026
y[1] (analytic) = 347302125.88739119891974782963072
y[1] (numeric) = 347302125.88739119891093407285011
absolute error = 8.81375678061e-12
relative error = 2.5377779528674009115633651988366e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.027
y[1] (analytic) = 347997425.20671888467782554860838
y[1] (numeric) = 347997425.20671888466899414667468
absolute error = 8.83140193370e-12
relative error = 2.5377779529414430925975088273999e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.028
y[1] (analytic) = 348694116.51621139394025048407914
y[1] (numeric) = 348694116.51621139393140140166672
absolute error = 8.84908241242e-12
relative error = 2.5377779530181980626298852571668e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.029
y[1] (analytic) = 349392202.6026348935989295319967
y[1] (numeric) = 349392202.60263489359006273370924
absolute error = 8.86679828746e-12
relative error = 2.5377779530885078347077645990118e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.03
y[1] (analytic) = 350091686.2583346601294339959455
y[1] (numeric) = 350091686.25833466012054944631579
absolute error = 8.88454962971e-12
relative error = 2.5377779531599730562765997636337e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.031
y[1] (analytic) = 350792570.28124624897582861695756
y[1] (numeric) = 350792570.28124624896692628044737
absolute error = 8.90233651019e-12
relative error = 2.5377779532367503391494527981282e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.032
y[1] (analytic) = 351494857.47490668629662393100944
y[1] (numeric) = 351494857.47490668628770377200943
absolute error = 8.92015900001e-12
relative error = 2.5377779533081255912595320449989e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.033
y[1] (analytic) = 352198550.64846568311661895293107
y[1] (numeric) = 352198550.64846568310768093576059
absolute error = 8.93801717048e-12
relative error = 2.5377779533798139880566338394272e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.034
y[1] (analytic) = 352903652.6166968719294908090492
y[1] (numeric) = 352903652.61669687192053489795617
absolute error = 8.95591109303e-12
relative error = 2.5377779534510463905743734159954e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.035
y[1] (analytic) = 353610166.20000906579607774390632
y[1] (numeric) = 353610166.20000906578710390306708
absolute error = 8.97384083924e-12
relative error = 2.5377779535230370110964947870712e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.036
y[1] (analytic) = 354318094.2244575399833919091991
y[1] (numeric) = 354318094.22445753997440010271827
absolute error = 8.99180648083e-12
relative error = 2.5377779535960605035083016459702e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.037
y[1] (analytic) = 355027439.52175533618948850602979
y[1] (numeric) = 355027439.52175533618047869794013
absolute error = 9.00980808966e-12
relative error = 2.5377779536693804971197175346701e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.038
y[1] (analytic) = 355738204.92928458939940819501935
y[1] (numeric) = 355738204.92928458939038034928162
absolute error = 9.02784573773e-12
relative error = 2.5377779537411788818463767207422e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.039
y[1] (analytic) = 356450393.29010787741750021315452
y[1] (numeric) = 356450393.29010787740845429365732
absolute error = 9.04591949720e-12
relative error = 2.5377779538140967190968015330367e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.04
y[1] (analytic) = 357164007.45297959312152434179391
y[1] (numeric) = 357164007.45297959311246031235356
absolute error = 9.06402944035e-12
relative error = 2.5377779538839096264727818799691e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.041
y[1] (analytic) = 357879050.27235733948402075740411
y[1] (numeric) = 357879050.27235733947493858176448
absolute error = 9.08217563963e-12
relative error = 2.5377779539534866549467666170754e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.042
y[1] (analytic) = 358595524.60841334740652786569846
y[1] (numeric) = 358595524.60841334739742750753083
absolute error = 9.10035816763e-12
relative error = 2.5377779540242728183567695621219e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.043
y[1] (analytic) = 359313433.32704591641231947127368
y[1] (numeric) = 359313433.3270459164032008941766
absolute error = 9.11857709708e-12
relative error = 2.5377779540962224013250841317028e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.044
y[1] (analytic) = 360032779.2998908782434240689473
y[1] (numeric) = 360032779.29989087823428723644645
absolute error = 9.13683250085e-12
relative error = 2.5377779541677329900504380426315e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.045
y[1] (analytic) = 360753565.40433308340778066015779
y[1] (numeric) = 360753565.40433308339862553570583
absolute error = 9.15512445196e-12
relative error = 2.5377779542383521969034938570129e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.046
y[1] (analytic) = 361475794.52351791072247729836612
y[1] (numeric) = 361475794.52351791071330384534254
absolute error = 9.17345302358e-12
relative error = 2.5377779543086854315969897218646e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.047
y[1] (analytic) = 362199469.54636279989911055175896
y[1] (numeric) = 362199469.54636279988991873346993
absolute error = 9.19181828903e-12
relative error = 2.5377779543803045479410671358822e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.048
y[1] (analytic) = 362924593.36756880721739624006814
y[1] (numeric) = 362924593.36756880720818601974638
absolute error = 9.21022032176e-12
relative error = 2.5377779544501465743881288784741e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1205.4MB, alloc=4.6MB, time=59.40
x[1] = 9.049
y[1] (analytic) = 363651168.88763218433325415535692
y[1] (numeric) = 363651168.88763218432402549616154
absolute error = 9.22865919538e-12
relative error = 2.5377779545187288134263961052864e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.05
y[1] (analytic) = 364379199.01285598026768201455036
y[1] (numeric) = 364379199.01285598025843487956671
absolute error = 9.24713498365e-12
relative error = 2.5377779545872879990936787856104e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.051
y[1] (analytic) = 365108686.65536166662282661467488
y[1] (numeric) = 365108686.6553616666135609669144
absolute error = 9.26564776048e-12
relative error = 2.5377779546576922854058494566330e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.052
y[1] (analytic) = 365839634.73310078607175307059194
y[1] (numeric) = 365839634.73310078606246887299203
absolute error = 9.28419759991e-12
relative error = 2.5377779547268872090391201599220e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.053
y[1] (analytic) = 366572046.16986662416850610983417
y[1] (numeric) = 366572046.16986662415920332525803
absolute error = 9.30278457614e-12
relative error = 2.5377779547950479178919974369350e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.054
y[1] (analytic) = 367305923.89530590452515068035149
y[1] (numeric) = 367305923.89530590451582927158796
absolute error = 9.32140876353e-12
relative error = 2.5377779548654662250986536456641e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.055
y[1] (analytic) = 368041270.84493050740257259492315
y[1] (numeric) = 368041270.84493050739323252468659
absolute error = 9.34007023656e-12
relative error = 2.5377779549335703163477167238114e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.056
y[1] (analytic) = 368778089.96012921176191359106326
y[1] (numeric) = 368778089.96012921175255482199337
absolute error = 9.35876906989e-12
relative error = 2.5377779550031923193680412528691e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.057
y[1] (analytic) = 369516384.18817946082360902781588
y[1] (numeric) = 369516384.18817946081423152247758
absolute error = 9.37750533830e-12
relative error = 2.5377779550701662872000149567836e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.058
y[1] (analytic) = 370256156.48225915118109047127812
y[1] (numeric) = 370256156.48225915117169419216136
absolute error = 9.39627911676e-12
relative error = 2.5377779551412329724168191702755e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.059
y[1] (analytic) = 370997409.80145844551630963938009
y[1] (numeric) = 370997409.80145844550689454889976
absolute error = 9.41509048033e-12
relative error = 2.5377779552068958652870871280141e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.06
y[1] (analytic) = 371740147.11079160896433458376821
y[1] (numeric) = 371740147.11079160895490064426392
absolute error = 9.43393950429e-12
relative error = 2.5377779552764729959088880007814e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.061
y[1] (analytic) = 372484371.38120886917436358295794
y[1] (numeric) = 372484371.38120886916491075669392
absolute error = 9.45282626402e-12
relative error = 2.5377779553456124349095724140599e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.062
y[1] (analytic) = 373230085.58960830011459700662528
y[1] (numeric) = 373230085.58960830010512525579023
absolute error = 9.47175083505e-12
relative error = 2.5377779554097442429984258538036e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.063
y[1] (analytic) = 373977292.71884772966850238636951
y[1] (numeric) = 373977292.71884772965901167307639
absolute error = 9.49071329312e-12
relative error = 2.5377779554800457732080571667410e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.064
y[1] (analytic) = 374725995.757756671070103093884
y[1] (numeric) = 374725995.75775667106059338016995
absolute error = 9.50971371405e-12
relative error = 2.5377779555485117185117293367958e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.065
y[1] (analytic) = 375476197.70114827822601638359876
y[1] (numeric) = 375476197.70114827821648763142491
absolute error = 9.52875217385e-12
relative error = 2.5377779556173606283195303926109e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.066
y[1] (analytic) = 376227901.54983132497206210388706
y[1] (numeric) = 376227901.5498313249625142751384
absolute error = 9.54782874866e-12
relative error = 2.5377779556829045067074318661767e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.067
y[1] (analytic) = 376981110.31062220831235911924344
y[1] (numeric) = 376981110.31062220830279217572863
absolute error = 9.56694351481e-12
relative error = 2.5377779557514428433245963908557e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.068
y[1] (analytic) = 377735826.99635697568892241582299
y[1] (numeric) = 377735826.99635697567933631927425
absolute error = 9.58609654874e-12
relative error = 2.5377779558179033591885405067513e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.069
y[1] (analytic) = 378492054.6259033763298699847669
y[1] (numeric) = 378492054.62590337632026469683983
absolute error = 9.60528792707e-12
relative error = 2.5377779558843689992933315373200e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.07
y[1] (analytic) = 379249796.22417293672444489221004
y[1] (numeric) = 379249796.22417293671482037448347
absolute error = 9.62451772657e-12
relative error = 2.5377779559520154965612103671790e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.071
y[1] (analytic) = 380009054.82213306027315445215966
y[1] (numeric) = 380009054.82213306026351066613551
absolute error = 9.64378602415e-12
relative error = 2.5377779560184080317329371875012e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.072
y[1] (analytic) = 380769833.45681915116142511893468
y[1] (numeric) = 380769833.45681915115176202603779
absolute error = 9.66309289689e-12
relative error = 2.5377779560853352273443384090338e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.073
y[1] (analytic) = 381532135.17134676250526860995034
y[1] (numeric) = 381532135.17134676249558617152832
absolute error = 9.68243842202e-12
relative error = 2.5377779561534442262795762050584e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.074
y[1] (analytic) = 382295963.0149237688175518577102
y[1] (numeric) = 382295963.01492376880785003503328
absolute error = 9.70182267692e-12
relative error = 2.5377779562221712199222492906423e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.075
y[1] (analytic) = 383061320.04286256284356067231533
y[1] (numeric) = 383061320.04286256283383942657622
absolute error = 9.72124573911e-12
relative error = 2.5377779562870621676593262641300e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.076
y[1] (analytic) = 383828209.31659227681464447300773
y[1] (numeric) = 383828209.31659227680490376532143
absolute error = 9.74070768630e-12
relative error = 2.5377779563527575398927102976571e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.077
y[1] (analytic) = 384596633.90367102816882711962184
y[1] (numeric) = 384596633.90367102815906691102551
absolute error = 9.76020859633e-12
relative error = 2.5377779564172200770677724405149e-18 %
Correct digits = 19
h = 0.001
memory used=1209.3MB, alloc=4.6MB, time=59.59
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.078
y[1] (analytic) = 385366596.8777981897873667427153
y[1] (numeric) = 385366596.87779818977758699416808
absolute error = 9.77974854722e-12
relative error = 2.5377779564846951698829958015552e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.079
y[1] (analytic) = 386138101.31882668479634553497838
y[1] (numeric) = 386138101.31882668478654620736126
absolute error = 9.79932761712e-12
relative error = 2.5377779565526186377631882116138e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.08
y[1] (analytic) = 386911150.31277530598246872667446
y[1] (numeric) = 386911150.31277530597264978079012
absolute error = 9.81894588434e-12
relative error = 2.5377779566193575013354260041186e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.081
y[1] (analytic) = 387685746.9518410598723504247333
y[1] (numeric) = 387685746.95184105986251182130594
absolute error = 9.83860342736e-12
relative error = 2.5377779566866993866383837754330e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.082
y[1] (analytic) = 388461894.3344115355246626490992
y[1] (numeric) = 388461894.33441153551480434877441
absolute error = 9.85830032479e-12
relative error = 2.5377779567494405941983556690611e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.083
y[1] (analytic) = 389239595.56507729808462275142204
y[1] (numeric) = 389239595.56507729807474471476659
absolute error = 9.87803665545e-12
relative error = 2.5377779568159279608328155601076e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.084
y[1] (analytic) = 390018853.7546443071503934505654
y[1] (numeric) = 390018853.75464430714049563806713
absolute error = 9.89781249827e-12
relative error = 2.5377779568822031073125810452669e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.085
y[1] (analytic) = 390799672.02014636000106896709
y[1] (numeric) = 390799672.02014635999115133915764
absolute error = 9.91762793236e-12
relative error = 2.5377779569499562212439852786388e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.086
y[1] (analytic) = 391582053.48485755973602018524768
y[1] (numeric) = 391582053.48485755972608270221072
absolute error = 9.93748303696e-12
relative error = 2.5377779570136202657135395992588e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.087
y[1] (analytic) = 392366001.27830480837547141649109
y[1] (numeric) = 392366001.27830480836551403859958
absolute error = 9.95737789151e-12
relative error = 2.5377779570782030932283945847542e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.088
y[1] (analytic) = 393151518.53628032497228118346324
y[1] (numeric) = 393151518.53628032496230387088765
absolute error = 9.97731257559e-12
relative error = 2.5377779571438399290001206423752e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.089
y[1] (analytic) = 393938608.40085418878499948828115
y[1] (numeric) = 393938608.40085418877500220111222
absolute error = 9.99728716893e-12
relative error = 2.5377779572082995116000764125081e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.09
y[1] (analytic) = 394727274.02038690756237427406684
y[1] (numeric) = 394727274.0203869075523569723154
absolute error = 1.001730175144e-11
relative error = 2.5377779572745271089912403820743e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.091
y[1] (analytic) = 395517518.54954201098958023450906
y[1] (numeric) = 395517518.54954201097954287810591
absolute error = 1.003735640315e-11
relative error = 2.5377779573353420919295588738287e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.092
y[1] (analytic) = 396309345.14929866934654377316258
y[1] (numeric) = 396309345.14929866933648632195826
absolute error = 1.005745120432e-11
relative error = 2.5377779574012142657474021015918e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.093
y[1] (analytic) = 397102756.98696433742883876260936
y[1] (numeric) = 397102756.98696433741876117637406
absolute error = 1.007758623530e-11
relative error = 2.5377779574647516666172158508792e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.094
y[1] (analytic) = 397897757.23618742378172880392358
y[1] (numeric) = 397897757.23618742377163104234693
absolute error = 1.009776157665e-11
relative error = 2.5377779575309562805117945563487e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.095
y[1] (analytic) = 398694349.0769699852980329395016
y[1] (numeric) = 398694349.07696998528791496219255
absolute error = 1.011797730905e-11
relative error = 2.5377779575944460349356078485664e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.096
y[1] (analytic) = 399492535.69568044723059322764603
y[1] (numeric) = 399492535.69568044722045499413265
absolute error = 1.013823351338e-11
relative error = 2.5377779576595029377545077585980e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.097
y[1] (analytic) = 400292320.28506634867022424573405
y[1] (numeric) = 400292320.2850663486600657154634
absolute error = 1.015853027065e-11
relative error = 2.5377779577224087233457145266177e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.098
y[1] (analytic) = 401093706.04426711354012645076214
y[1] (numeric) = 401093706.04426711352994758310009
absolute error = 1.017886766205e-11
relative error = 2.5377779577839097156093230689516e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.099
y[1] (analytic) = 401896696.17882684715784739194856
y[1] (numeric) = 401896696.17882684714764814617961
absolute error = 1.019924576895e-11
relative error = 2.5377779578490915710617497102831e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.1
y[1] (analytic) = 402701293.90070715841597704030042
y[1] (numeric) = 402701293.90070715840575737562759
absolute error = 1.021966467283e-11
relative error = 2.5377779579098724841697932436736e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.101
y[1] (analytic) = 403507502.42830000763286597502326
y[1] (numeric) = 403507502.42830000762262585056785
absolute error = 1.024012445541e-11
relative error = 2.5377779579772712162060761648248e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.102
y[1] (analytic) = 404315324.98644058012475784677576
y[1] (numeric) = 404315324.98644058011449722157728
absolute error = 1.026062519848e-11
relative error = 2.5377779580390894084541234643204e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.103
y[1] (analytic) = 405124764.8064201855508304234649
y[1] (numeric) = 405124764.80642018554054925648084
absolute error = 1.028116698406e-11
relative error = 2.5377779580995562842032245295058e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.104
y[1] (analytic) = 405935825.12599918308274261594428
y[1] (numeric) = 405935825.12599918307244086604995
absolute error = 1.030174989433e-11
relative error = 2.5377779581618401145703697791232e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.105
y[1] (analytic) = 406748509.1894199324503881790376
y[1] (numeric) = 406748509.18941993244006580502598
absolute error = 1.032237401162e-11
relative error = 2.5377779582255193234865382030781e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1213.1MB, alloc=4.6MB, time=59.77
x[1] = 9.106
y[1] (analytic) = 407562820.24741977091566028817008
y[1] (numeric) = 407562820.24741977090531724875166
absolute error = 1.034303941842e-11
relative error = 2.5377779582889910294695815220780e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.107
y[1] (analytic) = 408378761.55724401622613490396877
y[1] (numeric) = 408378761.55724401621577115777138
absolute error = 1.036374619739e-11
relative error = 2.5377779583518507667881723231349e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.108
y[1] (analytic) = 409196336.38265899560068475690242
y[1] (numeric) = 409196336.38265899559030026247106
absolute error = 1.038449443136e-11
relative error = 2.5377779584147997732204434734492e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.109
y[1] (analytic) = 410015547.99396510079913991178896
y[1] (numeric) = 410015547.99396510078873462758564
absolute error = 1.040528420332e-11
relative error = 2.5377779584771142243941780538416e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.11
y[1] (analytic) = 410836399.66800986932821520821947
y[1] (numeric) = 410836399.66800986931778909262304
absolute error = 1.042611559643e-11
relative error = 2.5377779585390126971985492835517e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.111
y[1] (analytic) = 411658894.68820109183602941805008
y[1] (numeric) = 411658894.68820109182558242935607
absolute error = 1.044698869401e-11
relative error = 2.5377779585991367844822130902221e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.112
y[1] (analytic) = 412483036.34451994574764571551503
y[1] (numeric) = 412483036.34451994573717781193545
absolute error = 1.046790357958e-11
relative error = 2.5377779586641834050150960441208e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.113
y[1] (analytic) = 413308827.93353415519416801963407
y[1] (numeric) = 413308827.9335341551836791592973
absolute error = 1.048886033677e-11
relative error = 2.5377779587269680964966171453388e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.114
y[1] (analytic) = 414136272.75841117728803294284644
y[1] (numeric) = 414136272.75841117727752308379703
absolute error = 1.050985904941e-11
relative error = 2.5377779587882145966190786116144e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.115
y[1] (analytic) = 414965374.12893141479724246462067
y[1] (numeric) = 414965374.12893141478671156481917
absolute error = 1.053089980150e-11
relative error = 2.5377779588491658037094894708838e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.116
y[1] (analytic) = 415796135.36150145527138804458792
y[1] (numeric) = 415796135.36150145526083606191072
absolute error = 1.055198267720e-11
relative error = 2.5377779589090927329055383510433e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.117
y[1] (analytic) = 416628559.77916733667242269694749
y[1] (numeric) = 416628559.77916733666184958918663
absolute error = 1.057310776086e-11
relative error = 2.5377779589724340203991435629445e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.118
y[1] (analytic) = 417462650.71162783956324356692022
y[1] (numeric) = 417462650.71162783955264929178327
absolute error = 1.059427513695e-11
relative error = 2.5377779590318955569388411706898e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.119
y[1] (analytic) = 418298411.49524780590725378130316
y[1] (numeric) = 418298411.49524780589663829641299
absolute error = 1.061548489017e-11
relative error = 2.5377779590947837329425569341069e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.12
y[1] (analytic) = 419135845.47307148453217878913108
y[1] (numeric) = 419135845.47307148452154205202575
absolute error = 1.063673710533e-11
relative error = 2.5377779591541487305861513082440e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.121
y[1] (analytic) = 419974955.99483590331151906550446
y[1] (numeric) = 419974955.99483590330086103363699
absolute error = 1.065803186747e-11
relative error = 2.5377779592174189804672414261567e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.122
y[1] (analytic) = 420815746.41698426811712792222393
y[1] (numeric) = 420815746.41698426810644855296219
absolute error = 1.067936926174e-11
relative error = 2.5377779592776609528456810154380e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.123
y[1] (analytic) = 421658220.10267938859651025340818
y[1] (numeric) = 421658220.10267938858580950403468
absolute error = 1.070074937350e-11
relative error = 2.5377779593373574236061155895143e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.124
y[1] (analytic) = 422502380.42181713082854534319089
y[1] (numeric) = 422502380.42181713081782317090261
absolute error = 1.072217228828e-11
relative error = 2.5377779593987654755613260953543e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.125
y[1] (analytic) = 423348230.75103989691144437632506
y[1] (numeric) = 423348230.7510398969007007382333
absolute error = 1.074363809176e-11
relative error = 2.5377779594591136071212383496791e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.126
y[1] (analytic) = 424195774.47375013153686102149755
y[1] (numeric) = 424195774.47375013152609587462774
absolute error = 1.076514686981e-11
relative error = 2.5377779595200006821992830885819e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.127
y[1] (analytic) = 425045014.98012385560418140180478
y[1] (numeric) = 425045014.98012385559339470309632
absolute error = 1.078669870846e-11
relative error = 2.5377779595802135008432982506224e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.128
y[1] (analytic) = 425895955.66712422692912792759452
y[1] (numeric) = 425895955.66712422691831963390059
absolute error = 1.080829369393e-11
relative error = 2.5377779596427179980039306612045e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.129
y[1] (analytic) = 426748599.93851512810091984416978
y[1] (numeric) = 426748599.9385151280900899122572
absolute error = 1.082993191258e-11
relative error = 2.5377779597028202383338501969597e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.13
y[1] (analytic) = 427602951.20487478154234194111443
y[1] (numeric) = 427602951.20487478153149032766346
absolute error = 1.085161345097e-11
relative error = 2.5377779597621937246423501033544e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.131
y[1] (analytic) = 428459012.88360939182718168166854
y[1] (numeric) = 428459012.88360939181630834327271
absolute error = 1.087333839583e-11
relative error = 2.5377779598217333338048501587956e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.132
y[1] (analytic) = 429316788.39896681530960404009186
y[1] (numeric) = 429316788.39896681529870893325781
absolute error = 1.089510683405e-11
relative error = 2.5377779598791529423818158642456e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.133
y[1] (analytic) = 430176281.182050257120142582741
y[1] (numeric) = 430176281.18205025710922566388827
absolute error = 1.091691885273e-11
relative error = 2.5377779599405595072290613774094e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.134
y[1] (analytic) = 431037494.6708319955830947950871
y[1] (numeric) = 431037494.67083199557215602054801
absolute error = 1.093877453909e-11
relative error = 2.5377779599994086517837851380539e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=1216.9MB, alloc=4.6MB, time=59.95
TOP MAIN SOLVE Loop
x[1] = 9.135
y[1] (analytic) = 431900432.3101671341102193425548
y[1] (numeric) = 431900432.31016713409925866857424
absolute error = 1.096067398056e-11
relative error = 2.5377779600573881415356427018038e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.136
y[1] (analytic) = 432765097.55180738062574285830717
y[1] (numeric) = 432765097.55180738061476024104242
absolute error = 1.098261726475e-11
relative error = 2.5377779601173229347049656000188e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.137
y[1] (analytic) = 433631493.85441485457779397637644
y[1] (numeric) = 433631493.85441485456678937189702
absolute error = 1.100460447942e-11
relative error = 2.5377779601761646338850016626641e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.138
y[1] (analytic) = 434499624.68357592159149267428605
y[1] (numeric) = 434499624.68357592158046603857353
absolute error = 1.102663571252e-11
relative error = 2.5377779602341752361064073437727e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.139
y[1] (analytic) = 435369493.51181505581903355596746
y[1] (numeric) = 435369493.51181505580798484491528
absolute error = 1.104871105218e-11
relative error = 2.5377779602925164800110892350018e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.14
y[1] (analytic) = 436241103.81860873004221249378812
y[1] (numeric) = 436241103.81860873003114166320142
absolute error = 1.107083058670e-11
relative error = 2.5377779603508677327639616629549e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.141
y[1] (analytic) = 437114459.09039933358295705831725
y[1] (numeric) = 437114459.09039933357186406391269
absolute error = 1.109299440456e-11
relative error = 2.5377779604096476790246187408512e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.142
y[1] (analytic) = 437989562.82060911807753239650834
y[1] (numeric) = 437989562.82060911806641719391393
absolute error = 1.111520259441e-11
relative error = 2.5377779604676429845696839136369e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.143
y[1] (analytic) = 438866418.50965417117020567371633
y[1] (numeric) = 438866418.50965417115906821847125
absolute error = 1.113745524508e-11
relative error = 2.5377779605242223771949953833505e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.144
y[1] (analytic) = 439745029.66495841818226387283876
y[1] (numeric) = 439745029.66495841817110412039316
absolute error = 1.115975244560e-11
relative error = 2.5377779605837981664424590353022e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.145
y[1] (analytic) = 440625399.80096765181239164532098
y[1] (numeric) = 440625399.80096765180120955103584
absolute error = 1.118209428514e-11
relative error = 2.5377779606420780705909208450665e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.146
y[1] (analytic) = 441507532.43916358992452803424316
y[1] (numeric) = 441507532.4391635899133235533901
absolute error = 1.120448085306e-11
relative error = 2.5377779606973960307177358569875e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.147
y[1] (analytic) = 442391431.10807796147943323965968
y[1] (numeric) = 442391431.10807796146820632742075
absolute error = 1.122691223893e-11
relative error = 2.5377779607551262251147735906987e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.148
y[1] (analytic) = 443277099.34330662066630917123913
y[1] (numeric) = 443277099.34330662065505978270666
absolute error = 1.124938853247e-11
relative error = 2.5377779608139964484641912455912e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.149
y[1] (analytic) = 444164540.6875236892909303335061
y[1] (numeric) = 444164540.68752368927965842368252
absolute error = 1.127190982358e-11
relative error = 2.5377779608728277447350912356872e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.15
y[1] (analytic) = 445053758.69049572747685461506476
y[1] (numeric) = 445053758.69049572746556013886242
absolute error = 1.129447620234e-11
relative error = 2.5377779609304527222812447713563e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.151
y[1] (analytic) = 445944756.90909593273639680554163
y[1] (numeric) = 445944756.90909593272507971778261
absolute error = 1.131708775902e-11
relative error = 2.5377779609878771115717630120731e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.152
y[1] (analytic) = 446837538.90731836746816114307378
y[1] (numeric) = 446837538.90731836745682139848971
absolute error = 1.133974458407e-11
relative error = 2.5377779610459393485135522951855e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.153
y[1] (analytic) = 447732108.25629221493804290144256
y[1] (numeric) = 447732108.25629221492668045467445
absolute error = 1.136244676811e-11
relative error = 2.5377779611029979233206169309276e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.154
y[1] (analytic) = 448628468.53429606380072295986724
y[1] (numeric) = 448628468.53429606378933776546529
absolute error = 1.138519440195e-11
relative error = 2.5377779611593333496445530849259e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.155
y[1] (analytic) = 449526623.3267722212187934604829
y[1] (numeric) = 449526623.32677222120738547290632
absolute error = 1.140798757658e-11
relative error = 2.5377779612148236627438437423325e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.156
y[1] (analytic) = 450426576.2263410546367670490893
y[1] (numeric) = 450426576.22634105462533622270611
absolute error = 1.143082638319e-11
relative error = 2.5377779612733078605278719902570e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.157
y[1] (analytic) = 451328330.83281536226733681433001
y[1] (numeric) = 451328330.8328153622558831034169
absolute error = 1.145371091311e-11
relative error = 2.5377779613291714432851636139078e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.158
y[1] (analytic) = 452231890.75321477234736888950244
y[1] (numeric) = 452231890.75321477233589224824454
absolute error = 1.147664125790e-11
relative error = 2.5377779613872611914775053694377e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.159
y[1] (analytic) = 453137259.60178017122122476016786
y[1] (numeric) = 453137259.6017801712097251426586
absolute error = 1.149961750926e-11
relative error = 2.5377779614428385458399877293682e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.16
y[1] (analytic) = 454044440.99998816030912563008838
y[1] (numeric) = 454044440.99998816029760299032928
absolute error = 1.152263975910e-11
relative error = 2.5377779614970113608473226814429e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.161
y[1] (analytic) = 454953438.57656554201838673822416
y[1] (numeric) = 454953438.57656554200684103012463
absolute error = 1.154570809953e-11
relative error = 2.5377779615543968569242300234123e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.162
y[1] (analytic) = 455864255.9675038346554652910426
y[1] (numeric) = 455864255.96750383464389646841979
absolute error = 1.156882262281e-11
relative error = 2.5377779616120375365605787464433e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1220.7MB, alloc=4.6MB, time=60.13
x[1] = 9.163
y[1] (analytic) = 456776896.81607381639688167768472
y[1] (numeric) = 456776896.81607381638528969426333
absolute error = 1.159198342139e-11
relative error = 2.5377779616681528779721187566014e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.164
y[1] (analytic) = 457691364.77284009837718987106527
y[1] (numeric) = 457691364.77284009836557468047736
absolute error = 1.161519058791e-11
relative error = 2.5377779617220468909771015252157e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.165
y[1] (analytic) = 458607663.49567572695228938621916
y[1] (numeric) = 458607663.49567572694065094200394
absolute error = 1.163844421522e-11
relative error = 2.5377779617783775757624081097167e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.166
y[1] (analytic) = 459525796.64977681519648786861158
y[1] (numeric) = 459525796.64977681518482612421526
absolute error = 1.166174439632e-11
relative error = 2.5377779618339657220977679597903e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.167
y[1] (analytic) = 460445767.90767720369184032017094
y[1] (numeric) = 460445767.90767720368015522894653
absolute error = 1.168509122441e-11
relative error = 2.5377779618886512555606387260684e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.168
y[1] (analytic) = 461367580.94926315066840813994924
y[1] (numeric) = 461367580.94926315065669965515636
absolute error = 1.170848479288e-11
relative error = 2.5377779619430149299808237066048e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.169
y[1] (analytic) = 462291239.46178805155419856003284
y[1] (numeric) = 462291239.46178805154246663483752
absolute error = 1.173192519532e-11
relative error = 2.5377779620004532676221141456771e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.17
y[1] (analytic) = 463216747.13988718799366269608743
y[1] (numeric) = 463216747.13988718798190728356196
absolute error = 1.175541252547e-11
relative error = 2.5377779620562755196233429574489e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.171
y[1] (analytic) = 464144107.6855925063937483061949
y[1] (numeric) = 464144107.68559250638196935931761
absolute error = 1.177894687729e-11
relative error = 2.5377779621127850413153621592887e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.172
y[1] (analytic) = 465073324.80834742605662146189766
y[1] (numeric) = 465073324.80834742604481893355276
absolute error = 1.180252834490e-11
relative error = 2.5377779621662276127015873027218e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.173
y[1] (analytic) = 466004402.22502167695828968208153
y[1] (numeric) = 466004402.22502167694646352505888
absolute error = 1.182615702265e-11
relative error = 2.5377779622217923752425436517397e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.174
y[1] (analytic) = 466937343.65992616723247766397314
y[1] (numeric) = 466937343.65992616722062783096811
absolute error = 1.184983300503e-11
relative error = 2.5377779622741672988646818915733e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.175
y[1] (analytic) = 467872152.84482788041922556657841
y[1] (numeric) = 467872152.84482788040735201019164
absolute error = 1.187355638677e-11
relative error = 2.5377779623289364379845017198956e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.176
y[1] (analytic) = 468808833.51896480253779886081793
y[1] (numeric) = 468808833.51896480252590153355518
absolute error = 1.189732726275e-11
relative error = 2.5377779623831928970225455476654e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.177
y[1] (analytic) = 469747389.42906087904361805790166
y[1] (numeric) = 469747389.42906087903169691217361
absolute error = 1.192114572805e-11
relative error = 2.5377779624361866471590070501803e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.178
y[1] (analytic) = 470687824.32934100172903616360434
y[1] (numeric) = 470687824.32934100171709115172638
absolute error = 1.194501187796e-11
relative error = 2.5377779624913468415261735504746e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.179
y[1] (analytic) = 471630141.98154602562791148153396
y[1] (numeric) = 471630141.98154602561594255572603
absolute error = 1.196892580793e-11
relative error = 2.5377779625455577635300220889254e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.18
y[1] (analytic) = 472574346.15494781598404340370713
y[1] (numeric) = 472574346.15494781597205051609351
absolute error = 1.199288761362e-11
relative error = 2.5377779625997236152187098240165e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.181
y[1] (analytic) = 473520440.62636432534365908223706
y[1] (numeric) = 473520440.62636432533164218484617
absolute error = 1.201689739089e-11
relative error = 2.5377779626565358372885303068870e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.182
y[1] (analytic) = 474468429.18017470083225937218363
y[1] (numeric) = 474468429.18017470082021841694788
absolute error = 1.204095523575e-11
relative error = 2.5377779627098363056523926539138e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.183
y[1] (analytic) = 475418315.6083344216762531730925
y[1] (numeric) = 475418315.60833442166418811184805
absolute error = 1.206506124445e-11
relative error = 2.5377779627635555241061600464813e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.184
y[1] (analytic) = 476370103.71039046702993027594372
y[1] (numeric) = 476370103.71039046701784106043031
absolute error = 1.208921551341e-11
relative error = 2.5377779628168368235659034604303e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.185
y[1] (analytic) = 477323797.2934965141684440436253
y[1] (numeric) = 477323797.29349651415633062548605
absolute error = 1.211341813925e-11
relative error = 2.5377779628702882671573053323490e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.186
y[1] (analytic) = 478279400.17242816710759671712649
y[1] (numeric) = 478279400.17242816709545904790771
absolute error = 1.213766921878e-11
relative error = 2.5377779629237964196806286138746e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.187
y[1] (analytic) = 479236916.16959821571134184689696
y[1] (numeric) = 479236916.16959821569917987804795
absolute error = 1.216196884901e-11
relative error = 2.5377779629785393778121967027604e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.188
y[1] (analytic) = 480196349.11507192534804029972702
y[1] (numeric) = 480196349.11507192533585398259989
absolute error = 1.218631712713e-11
relative error = 2.5377779630327281053275899355574e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.189
y[1] (analytic) = 481157702.84658235715662848655915
y[1] (numeric) = 481157702.84658235714441777240862
absolute error = 1.221071415053e-11
relative error = 2.5377779630857118651521673752514e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.19
y[1] (analytic) = 482120981.20954571898397989633077
y[1] (numeric) = 482120981.20954571897174473631397
absolute error = 1.223516001680e-11
relative error = 2.5377779631378861151296205960470e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.191
y[1] (analytic) = 483086188.05707674705486370576227
y[1] (numeric) = 483086188.05707674704260405093854
absolute error = 1.225965482373e-11
relative error = 2.5377779631906012786139992778684e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=1224.5MB, alloc=4.6MB, time=60.31
TOP MAIN SOLVE Loop
x[1] = 9.192
y[1] (analytic) = 484053327.25000411843602716543368
y[1] (numeric) = 484053327.25000411842374296676439
absolute error = 1.228419866929e-11
relative error = 2.5377779632419406085671260880195e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.193
y[1] (analytic) = 485022402.65688589435605163902949
y[1] (numeric) = 485022402.65688589434374284737782
absolute error = 1.230879165167e-11
relative error = 2.5377779632949190105737382760263e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.194
y[1] (analytic) = 485993418.1540249944427555957668
y[1] (numeric) = 485993418.15402499443042216189756
absolute error = 1.233343386924e-11
relative error = 2.5377779633491224839966943655411e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.195
y[1] (analytic) = 486966377.62548470194004152625113
y[1] (numeric) = 486966377.62548470192768340083058
absolute error = 1.235812542055e-11
relative error = 2.5377779634006614525920988958167e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.196
y[1] (analytic) = 487941284.96310419996620766982128
y[1] (numeric) = 487941284.96310419995382480341689
absolute error = 1.238286640439e-11
relative error = 2.5377779634544212594549753394323e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.197
y[1] (analytic) = 488918144.06651413887586960734492
y[1] (numeric) = 488918144.06651413886346195042521
absolute error = 1.240765691971e-11
relative error = 2.5377779635075311995358031084419e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.198
y[1] (analytic) = 489896958.84315223478776118790801
y[1] (numeric) = 489896958.84315223477532869084235
absolute error = 1.243249706566e-11
relative error = 2.5377779635575259861714397377982e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.199
y[1] (analytic) = 490877733.20827889934080892139972
y[1] (numeric) = 490877733.20827889932835153445809
absolute error = 1.245738694163e-11
relative error = 2.5377779636104096800982097844723e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.2
y[1] (analytic) = 491860471.08499290074099888212996
y[1] (numeric) = 491860471.0849929007285165554828
absolute error = 1.248232664716e-11
relative error = 2.5377779636621925030274795240492e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.201
y[1] (analytic) = 492845176.40424705616168033182879
y[1] (numeric) = 492845176.40424705614917301554677
absolute error = 1.250731628202e-11
relative error = 2.5377779637151419109683449079505e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.202
y[1] (analytic) = 493831853.10486395556007568416516
y[1] (numeric) = 493831853.104863955547543328219
absolute error = 1.253235594616e-11
relative error = 2.5377779637675145357343808195915e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.203
y[1] (analytic) = 494820505.13355171697289209779009
y[1] (numeric) = 494820505.13355171696033465205035
absolute error = 1.255744573974e-11
relative error = 2.5377779638195781632693764276267e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.204
y[1] (analytic) = 495811136.44491977335405590135766
y[1] (numeric) = 495811136.44491977334147331559455
absolute error = 1.258258576311e-11
relative error = 2.5377779638694771137457363936258e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.205
y[1] (analytic) = 496803751.00149469101771722251064
y[1] (numeric) = 496803751.0014946910051094463938
absolute error = 1.260777611684e-11
relative error = 2.5377779639192112421718998924384e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.206
y[1] (analytic) = 497798352.77373601974979861394054
y[1] (numeric) = 497798352.77373601973716559703883
absolute error = 1.263301690171e-11
relative error = 2.5377779639725078462034843252290e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.207
y[1] (analytic) = 498794945.74005217465148814385003
y[1] (numeric) = 498794945.74005217463882983563137
absolute error = 1.265830821866e-11
relative error = 2.5377779640246993660709516395697e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.208
y[1] (analytic) = 499793533.88681634977820434596598
y[1] (numeric) = 499793533.88681634976552069579713
absolute error = 1.268365016885e-11
relative error = 2.5377779640747312537789155939878e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.209
y[1] (analytic) = 500794121.20838246363768760618105
y[1] (numeric) = 500794121.20838246362497856332738
absolute error = 1.270904285367e-11
relative error = 2.5377779641270420897568239813035e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.21
y[1] (analytic) = 501796711.70710113661099999944995
y[1] (numeric) = 501796711.70710113659826551307527
absolute error = 1.273448637468e-11
relative error = 2.5377779641794709114032962961171e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.211
y[1] (analytic) = 502801309.39333570036034328224315
y[1] (numeric) = 502801309.39333570034758330140952
absolute error = 1.275998083363e-11
relative error = 2.5377779642272198759960672055195e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.212
y[1] (analytic) = 503807918.2854782392877326931758
y[1] (numeric) = 503807918.28547823927494716684325
absolute error = 1.278552633255e-11
relative error = 2.5377779642806638363590575761863e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.213
y[1] (analytic) = 504816542.40996566410869241789545
y[1] (numeric) = 504816542.40996566409588129492189
absolute error = 1.281112297356e-11
relative error = 2.5377779643274807177259235516212e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.214
y[1] (analytic) = 505827185.8012958176052670344424
y[1] (numeric) = 505827185.80129581759243026358331
absolute error = 1.283677085909e-11
relative error = 2.5377779643762901575455465886223e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.215
y[1] (analytic) = 506839852.5020436126227719726022
y[1] (numeric) = 506839852.50204361260990950251045
absolute error = 1.286247009175e-11
relative error = 2.5377779644307148576444999044613e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.216
y[1] (analytic) = 507854546.5628772023748349957698
y[1] (numeric) = 507854546.5628772023619467749955
absolute error = 1.288822077430e-11
relative error = 2.5377779644834421529487632331591e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.217
y[1] (analytic) = 508871272.04257418312140994705175
y[1] (numeric) = 508871272.04257418310849592404204
absolute error = 1.291402300971e-11
relative error = 2.5377779645280431083496183210963e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.218
y[1] (analytic) = 509890033.0080378292845734932649
y[1] (numeric) = 509890033.00803782927163361636362
absolute error = 1.293987690128e-11
relative error = 2.5377779645824176640819612371157e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.219
y[1] (analytic) = 510910833.53431336106704535166505
y[1] (numeric) = 510910833.5343133610540795691127
absolute error = 1.296578255235e-11
relative error = 2.5377779646317096707083246805634e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.22
y[1] (analytic) = 511933677.70460424463850249517745
y[1] (numeric) = 511933677.70460424462551075511087
absolute error = 1.299174006658e-11
relative error = 2.5377779646832471897216567601675e-18 %
Correct digits = 19
h = 0.001
memory used=1228.3MB, alloc=4.6MB, time=60.49
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.221
y[1] (analytic) = 512958569.61028852495488810311865
y[1] (numeric) = 512958569.6102885249418703535709
absolute error = 1.301774954775e-11
relative error = 2.5377779647272511578680496541480e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.222
y[1] (analytic) = 513985513.3509351912760465564234
y[1] (numeric) = 513985513.35093519126300274532341
absolute error = 1.304381109999e-11
relative error = 2.5377779647816735342756776430859e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.223
y[1] (analytic) = 515014513.03432057544714656973635
y[1] (numeric) = 515014513.03432057543407664490889
absolute error = 1.306992482746e-11
relative error = 2.5377779648297056822745420616476e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.224
y[1] (analytic) = 516045572.7764447830094856079266
y[1] (numeric) = 516045572.77644478299638951709194
absolute error = 1.309609083466e-11
relative error = 2.5377779648801163218437694388193e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.225
y[1] (analytic) = 517078696.70154815720640005214985
y[1] (numeric) = 517078696.7015481571932777429236
absolute error = 1.312230922625e-11
relative error = 2.5377779649321049291554522921471e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.226
y[1] (analytic) = 518113888.94212777595013716105145
y[1] (numeric) = 518113888.9421277759369885809444
absolute error = 1.314858010705e-11
relative error = 2.5377779649753161799101210089146e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.227
y[1] (analytic) = 519151153.63895398181567671659415
y[1] (numeric) = 519151153.63895398180250181301193
absolute error = 1.317490358222e-11
relative error = 2.5377779650245266127406511995028e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.228
y[1] (analytic) = 520190494.9410869451276223518366
y[1] (numeric) = 520190494.94108694511442107207955
absolute error = 1.320127975705e-11
relative error = 2.5377779650789433446118746869078e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.229
y[1] (analytic) = 521231917.0058932602064149303126
y[1] (numeric) = 521231917.00589326019318722157562
absolute error = 1.322770873698e-11
relative error = 2.5377779651261152799002629151070e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.23
y[1] (analytic) = 522275423.9990625748402529839929
y[1] (numeric) = 522275423.99906257482699879336514
absolute error = 1.325419062776e-11
relative error = 2.5377779651726039801451664428901e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.231
y[1] (analytic) = 523321020.09462425304923811968355
y[1] (numeric) = 523321020.09462425303595739414817
absolute error = 1.328072553538e-11
relative error = 2.5377779652303373092777048091615e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.232
y[1] (analytic) = 524368709.4749640712083964726595
y[1] (numeric) = 524368709.47496407119508915909366
absolute error = 1.330731356584e-11
relative error = 2.5377779652726124925794520842837e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.233
y[1] (analytic) = 525418496.33084094759636072188165
y[1] (numeric) = 525418496.33084094758302676705603
absolute error = 1.333395482562e-11
relative error = 2.5377779653238532607026687658978e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.234
y[1] (analytic) = 526470384.8614037054366308838298
y[1] (numeric) = 526470384.8614037054232702344086
absolute error = 1.336064942120e-11
relative error = 2.5377779653678461371090219077584e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.235
y[1] (analytic) = 527524379.27420786949846607234725
y[1] (numeric) = 527524379.27420786948507867488781
absolute error = 1.338739745944e-11
relative error = 2.5377779654200992118356726987240e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.236
y[1] (analytic) = 528580483.785232496324593650458
y[1] (numeric) = 528580483.78523249631117945141073
absolute error = 1.341419904727e-11
relative error = 2.5377779654687974415002904317012e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.237
y[1] (analytic) = 529638702.6188970381530567074346
y[1] (numeric) = 529638702.61889703813961565314271
absolute error = 1.344105429189e-11
relative error = 2.5377779655127557760196787118525e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.238
y[1] (analytic) = 530699040.0080782406006555709912
y[1] (numeric) = 530699040.00807824058718760769042
absolute error = 1.346796330078e-11
relative error = 2.5377779655631169391283220208264e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.239
y[1] (analytic) = 531761500.194127074175574110898
y[1] (numeric) = 531761500.19412707416207918471648
absolute error = 1.349492618152e-11
relative error = 2.5377779656092977559094185823572e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.24
y[1] (analytic) = 532826087.4268856996869169070983
y[1] (numeric) = 532826087.42688569967339496405631
absolute error = 1.352194304199e-11
relative error = 2.5377779656566606459728685075943e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.241
y[1] (analytic) = 533892805.96470446761901894309665
y[1] (numeric) = 533892805.96470446760546992910638
absolute error = 1.354901399027e-11
relative error = 2.5377779657075435932440169255587e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.242
y[1] (analytic) = 534961660.0744589515385253445231
y[1] (numeric) = 534961660.07445895152494920538852
absolute error = 1.357613913458e-11
relative error = 2.5377779657499935853957904124308e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.243
y[1] (analytic) = 536032654.03156701560237481390385
y[1] (numeric) = 536032654.03156701558877149532036
absolute error = 1.360331858349e-11
relative error = 2.5377779657970052014001425367942e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.244
y[1] (analytic) = 537105792.12000591623495681632815
y[1] (numeric) = 537105792.12000591622132626388245
absolute error = 1.363055244570e-11
relative error = 2.5377779658452307846418795164565e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.245
y[1] (analytic) = 538181078.6323294380428492474431
y[1] (numeric) = 538181078.63232943802919140661295
absolute error = 1.365784083015e-11
relative error = 2.5377779658955015972296455065620e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.246
y[1] (analytic) = 539258517.86968506403568026557445
y[1] (numeric) = 539258517.86968506402199508172846
absolute error = 1.368518384599e-11
relative error = 2.5377779659471422074487535945656e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.247
y[1] (analytic) = 540338114.14183118022179519431455
y[1] (numeric) = 540338114.141831180208082612712
absolute error = 1.371258160255e-11
relative error = 2.5377779659923526252350168270609e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.248
y[1] (analytic) = 541419871.7671543146475469011846
y[1] (numeric) = 541419871.76715431463380686697514
absolute error = 1.374003420946e-11
relative error = 2.5377779660383626439455051888889e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1232.1MB, alloc=4.6MB, time=60.68
x[1] = 9.249
y[1] (analytic) = 542503795.0726864109491658325178
y[1] (numeric) = 542503795.07268641093539829074126
absolute error = 1.376754177654e-11
relative error = 2.5377779660869248442018134623536e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.25
y[1] (analytic) = 543589888.3941221364863039350752
y[1] (numeric) = 543589888.39412213647250883066143
absolute error = 1.379510441377e-11
relative error = 2.5377779661287693527909451478817e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.251
y[1] (analytic) = 544678156.0758362251264850216476
y[1] (numeric) = 544678156.07583622511266229941612
absolute error = 1.382272223148e-11
relative error = 2.5377779661785160681858751910331e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.252
y[1] (analytic) = 545768602.47090085474983274156805
y[1] (numeric) = 545768602.47090085473598234622797
absolute error = 1.385039534008e-11
relative error = 2.5377779662248840517568101766165e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.253
y[1] (analytic) = 546861231.9411030595435861982177
y[1] (numeric) = 546861231.94110305952970807436741
absolute error = 1.387812385029e-11
relative error = 2.5377779662729270919888054895565e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.254
y[1] (analytic) = 547956048.8569621771560524148031
y[1] (numeric) = 547956048.85696217714214650693009
absolute error = 1.390590787301e-11
relative error = 2.5377779663200656357089747719357e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.255
y[1] (analytic) = 549053057.5977473307797842874782
y[1] (numeric) = 549053057.59774733076585053995884
absolute error = 1.393374751936e-11
relative error = 2.5377779663633673102279949553644e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.256
y[1] (analytic) = 550152262.5514949462339123818321
y[1] (numeric) = 550152262.55149494621995073893137
absolute error = 1.396164290073e-11
relative error = 2.5377779664085581399679943985704e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.257
y[1] (analytic) = 551253668.11502630411569892542575
y[1] (numeric) = 551253668.11502630410170933129703
absolute error = 1.398959412872e-11
relative error = 2.5377779664589710808998560808356e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.258
y[1] (analytic) = 552357278.6939651270915226259966
y[1] (numeric) = 552357278.69396512707750502468153
absolute error = 1.401760131507e-11
relative error = 2.5377779665028159381758114318094e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.259
y[1] (analytic) = 553463098.7027552023976435027204
y[1] (numeric) = 553463098.70275520238359783814855
absolute error = 1.404566457185e-11
relative error = 2.5377779665475788080067735472106e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.26
y[1] (analytic) = 554571132.5646780396212377570856
y[1] (numeric) = 554571132.56467803960716397307425
absolute error = 1.407378401135e-11
relative error = 2.5377779665999140265858439201035e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.261
y[1] (analytic) = 555681384.71187056383233383106385
y[1] (numeric) = 555681384.71187056381823187131788
absolute error = 1.410195974597e-11
relative error = 2.5377779666457758606550653479080e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.262
y[1] (analytic) = 556793859.585342844137422203912
y[1] (numeric) = 556793859.58534284412329201202358
absolute error = 1.413019188842e-11
relative error = 2.5377779666864641680440314740462e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.263
y[1] (analytic) = 557908561.6349958577256531656823
y[1] (numeric) = 557908561.63499585771149468513062
absolute error = 1.415848055168e-11
relative error = 2.5377779667312212176257393528325e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.264
y[1] (analytic) = 559025495.3196392894786787759175
y[1] (numeric) = 559025495.31963928946449195006857
absolute error = 1.418682584893e-11
relative error = 2.5377779667845496990121004540800e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.265
y[1] (analytic) = 560144665.1070093672153374706315
y[1] (numeric) = 560144665.10700936720112224273805
absolute error = 1.421522789345e-11
relative error = 2.5377779668283263675048571771057e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.266
y[1] (analytic) = 561266075.47378673264252232009475
y[1] (numeric) = 561266075.47378673262827863329586
absolute error = 1.424368679889e-11
relative error = 2.5377779668700526197035060661451e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.267
y[1] (analytic) = 562389730.90561434808371676472445
y[1] (numeric) = 562389730.90561434806944456204534
absolute error = 1.427220267911e-11
relative error = 2.5377779669140684004167284714644e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.268
y[1] (analytic) = 563515635.8971154390568247670989
y[1] (numeric) = 563515635.89711543904252399145073
absolute error = 1.430077564817e-11
relative error = 2.5377779669597281093046999130366e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.269
y[1] (analytic) = 564643794.95191147277306571533975
y[1] (numeric) = 564643794.95191147275873630951938
absolute error = 1.432940582037e-11
relative error = 2.5377779670084535416924221312616e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.27
y[1] (analytic) = 565774212.5826401726288480974131
y[1] (numeric) = 565774212.58264017261449000410292
absolute error = 1.435809331018e-11
relative error = 2.5377779670512600301824408302312e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.271
y[1] (analytic) = 566906893.3109735687626799378637
y[1] (numeric) = 566906893.31097356874829309963131
absolute error = 1.438683823239e-11
relative error = 2.5377779670952389157933463622345e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.272
y[1] (analytic) = 568041841.667636084749318248691
y[1] (numeric) = 568041841.66763608473490260798898
absolute error = 1.441564070202e-11
relative error = 2.5377779671474725997350913470932e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.273
y[1] (analytic) = 569179062.1924226605035042950806
y[1] (numeric) = 569179062.19242266048905979424643
absolute error = 1.444450083417e-11
relative error = 2.5377779671885998009294213956685e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.274
y[1] (analytic) = 570318559.4342169114657763150966
y[1] (numeric) = 570318559.43421691145130289635225
absolute error = 1.447341874435e-11
relative error = 2.5377779672308610407383208178400e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.275
y[1] (analytic) = 571460337.95100932414299646079695
y[1] (numeric) = 571460337.9510093241284940662487
absolute error = 1.450239454825e-11
relative error = 2.5377779672774551464881105004648e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.276
y[1] (analytic) = 572604402.30991548807637414714105
y[1] (numeric) = 572604402.3099154880618427187793
absolute error = 1.453142836175e-11
relative error = 2.5377779673242946927732884039994e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.277
y[1] (analytic) = 573750757.0871943643099137050921
y[1] (numeric) = 573750757.08719436429535318479112
absolute error = 1.456052030098e-11
relative error = 2.5377779673704553619881816029607e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=1236.0MB, alloc=4.6MB, time=60.86
TOP MAIN SOLVE Loop
x[1] = 9.278
y[1] (analytic) = 574899406.8682665904323602370627
y[1] (numeric) = 574899406.86826659041777056658041
absolute error = 1.458967048229e-11
relative error = 2.5377779674128453995307890771226e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.279
y[1] (analytic) = 576050356.24773282226586386689395
y[1] (numeric) = 576050356.24773282225124498787163
absolute error = 1.461887902232e-11
relative error = 2.5377779674582982148828463742201e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.28
y[1] (analytic) = 577203609.8293921122747291634804
y[1] (numeric) = 577203609.82939211226008101744255
absolute error = 1.464814603785e-11
relative error = 2.5377779674974051852351778015104e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.281
y[1] (analytic) = 578359172.2262603247677633975436
y[1] (numeric) = 578359172.22626032475308592589757
absolute error = 1.467747164603e-11
relative error = 2.5377779675443645127753547001623e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.282
y[1] (analytic) = 579517048.0605885879678844655001
y[1] (numeric) = 579517048.06058858795317760953599
absolute error = 1.470685596411e-11
relative error = 2.5377779675900744448292912384592e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.283
y[1] (analytic) = 580677241.96388178302279678345925
y[1] (numeric) = 580677241.96388178300806048434961
absolute error = 1.473629910964e-11
relative error = 2.5377779676367272118356398679234e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.284
y[1] (analytic) = 581839758.5769170700306912187057
y[1] (numeric) = 581839758.57691707001592541750533
absolute error = 1.476580120037e-11
relative error = 2.5377779676804288965371197030401e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.285
y[1] (analytic) = 583004602.54976245115507318616805
y[1] (numeric) = 583004602.54976245114027782381374
absolute error = 1.479536235431e-11
relative error = 2.5377779677214708572370822914338e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.286
y[1] (analytic) = 584171778.5417953709029713939368
y[1] (numeric) = 584171778.54179537088814641124705
absolute error = 1.482498268975e-11
relative error = 2.5377779677676309188013314523170e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.287
y[1] (analytic) = 585341291.22172135364092837546665
y[1] (numeric) = 585341291.22172135362607371314156
absolute error = 1.485466232509e-11
relative error = 2.5377779678049748821464170700358e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.288
y[1] (analytic) = 586513145.2675926784233228972761
y[1] (numeric) = 586513145.26759267840843849589697
absolute error = 1.488440137913e-11
relative error = 2.5377779678474370703831486963639e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.289
y[1] (analytic) = 587687345.36682709120772358033265
y[1] (numeric) = 587687345.36682709119280938036182
absolute error = 1.491419997083e-11
relative error = 2.5377779678956236328447750828327e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.29
y[1] (analytic) = 588863896.21622655453212262148855
y[1] (numeric) = 588863896.21622655451717856326925
absolute error = 1.494405821930e-11
relative error = 2.5377779679351661488614127281471e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.291
y[1] (analytic) = 590042802.52199603472904834890155
y[1] (numeric) = 590042802.52199603471407437265748
absolute error = 1.497397624407e-11
relative error = 2.5377779679825497874480759995919e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.292
y[1] (analytic) = 591224068.9997623267517054929396
y[1] (numeric) = 591224068.99976232673670153877489
absolute error = 1.500395416471e-11
relative error = 2.5377779680204514169282063757590e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.293
y[1] (analytic) = 592407700.3745929166874425022318
y[1] (numeric) = 592407700.37459291667240851013056
absolute error = 1.503399210124e-11
relative error = 2.5377779680672049823737509914305e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.294
y[1] (analytic) = 593593701.38101488203399598388325
y[1] (numeric) = 593593701.3810148820189318937095
absolute error = 1.506409017375e-11
relative error = 2.5377779681123483263701269983355e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.295
y[1] (analytic) = 594782076.7630338298141133980334
y[1] (numeric) = 594782076.76303382979901914953081
absolute error = 1.509424850259e-11
relative error = 2.5377779681487738002137812244095e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.296
y[1] (analytic) = 595972831.27415287260430649049875
y[1] (numeric) = 595972831.27415287258918202329022
absolute error = 1.512446720853e-11
relative error = 2.5377779681994612267588374984224e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.297
y[1] (analytic) = 597165969.67739164255363960381455
y[1] (numeric) = 597165969.67739164253848485740227
absolute error = 1.515474641228e-11
relative error = 2.5377779682367171422986629390210e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.298
y[1] (analytic) = 598361496.74530534346860896718235
y[1] (numeric) = 598361496.74530534345342388094729
absolute error = 1.518508623506e-11
relative error = 2.5377779682778594425226875497885e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.299
y[1] (analytic) = 599559417.2600038410403213302414
y[1] (numeric) = 599559417.26000384102510584344317
absolute error = 1.521548679823e-11
relative error = 2.5377779683229760371331525900365e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.3
y[1] (analytic) = 600759736.0131707912903328748335
y[1] (numeric) = 600759736.01317079127508692661014
absolute error = 1.524594822336e-11
relative error = 2.5377779683666673960277485026317e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.301
y[1] (analytic) = 601962457.80608280731166221362095
y[1] (numeric) = 601962457.80608280729638574298866
absolute error = 1.527647063229e-11
relative error = 2.5377779684079879601062932145332e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.302
y[1] (analytic) = 603167587.4496286643816444651654
y[1] (numeric) = 603167587.44962866436633741101826
absolute error = 1.530705414714e-11
relative error = 2.5377779684519789713895445636067e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.303
y[1] (analytic) = 604375129.76432854352344688249055
y[1] (numeric) = 604375129.76432854350810918360031
absolute error = 1.533769889024e-11
relative error = 2.5377779684979456882185390318524e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.304
y[1] (analytic) = 605585089.5803533135932203068495
y[1] (numeric) = 605585089.58035331357785190186537
absolute error = 1.536840498413e-11
relative error = 2.5377779685394336827772661123820e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.305
y[1] (analytic) = 606797471.73754385197001482101205
y[1] (numeric) = 606797471.7375438519546156484604
absolute error = 1.539917255165e-11
relative error = 2.5377779685790375708562855730120e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1239.8MB, alloc=4.6MB, time=61.04
x[1] = 9.306
y[1] (analytic) = 608012281.08543040392574238749525
y[1] (numeric) = 608012281.08543040391031238577933
absolute error = 1.543000171592e-11
relative error = 2.5377779686249406581748327022910e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.307
y[1] (analytic) = 609229522.4832519807526239774003
y[1] (numeric) = 609229522.48325198073716308480011
absolute error = 1.546089260019e-11
relative error = 2.5377779686661569396692978239779e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.308
y[1] (analytic) = 610449200.79997579672571372550885
y[1] (numeric) = 610449200.79997579671022188018081
absolute error = 1.549184532804e-11
relative error = 2.5377779687054042294951502235147e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.309
y[1] (analytic) = 611671320.9143167449782479876508
y[1] (numeric) = 611671320.91431674496272512762749
absolute error = 1.552286002331e-11
relative error = 2.5377779687474428392969742537809e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.31
y[1] (analytic) = 612895887.7147569123677228277078
y[1] (numeric) = 612895887.71475691235216889089777
absolute error = 1.555393681003e-11
relative error = 2.5377779687875530722146570569018e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.311
y[1] (analytic) = 614122906.0995651334107594245825
y[1] (numeric) = 614122906.09956513339517434876995
absolute error = 1.558507581255e-11
relative error = 2.5377779688327173355202686830601e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.312
y[1] (analytic) = 615352380.9768165833649731646666
y[1] (numeric) = 615352380.97681658334935688751125
absolute error = 1.561627715535e-11
relative error = 2.5377779688705460034281041166481e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.313
y[1] (analytic) = 616584317.26441241053621877340885
y[1] (numeric) = 616584317.26441241052057123244555
absolute error = 1.564754096330e-11
relative error = 2.5377779689115576545460298725596e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.314
y[1] (analytic) = 617818719.89009940788974074113915
y[1] (numeric) = 617818719.89009940787406187377768
absolute error = 1.567886736147e-11
relative error = 2.5377779689581165514584409974191e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.315
y[1] (analytic) = 619055593.7914897240439155139798
y[1] (numeric) = 619055593.7914897240282052575047
absolute error = 1.571025647510e-11
relative error = 2.5377779689995867877277843661968e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.316
y[1] (analytic) = 620294943.91608061372542945109405
y[1] (numeric) = 620294943.91608061370968774266429
absolute error = 1.574170842976e-11
relative error = 2.5377779690381754420084549062742e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.317
y[1] (analytic) = 621536775.2212742277648943953174
y[1] (numeric) = 621536775.22127422774912117196609
absolute error = 1.577322335131e-11
relative error = 2.5377779690822882357243537619120e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.318
y[1] (analytic) = 622781092.6743974427120608660205
y[1] (numeric) = 622781092.67439744269625606465478
absolute error = 1.580480136572e-11
relative error = 2.5377779691174841054040242817493e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.319
y[1] (analytic) = 624027901.25272173014994736149675
y[1] (numeric) = 624027901.25272173013411091889732
absolute error = 1.583644259943e-11
relative error = 2.5377779691643120311320427621260e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.32
y[1] (analytic) = 625277205.9434830657873630538828
y[1] (numeric) = 625277205.94348306577149490670392
absolute error = 1.586814717888e-11
relative error = 2.5377779692027145965268230340185e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.321
y[1] (analytic) = 626529011.7439018784094602732499
y[1] (numeric) = 626529011.74390187839356035801893
absolute error = 1.589991523097e-11
relative error = 2.5377779692457724063665495652657e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.322
y[1] (analytic) = 627783323.661203038766112609673
y[1] (numeric) = 627783323.66120303875018086279029
absolute error = 1.593174688271e-11
relative error = 2.5377779692835413134987469192418e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.323
y[1] (analytic) = 629040146.7126358884780742134432
y[1] (numeric) = 629040146.71263588846211057118173
absolute error = 1.596364226147e-11
relative error = 2.5377779693229442021518618513539e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.324
y[1] (analytic) = 630299485.92549430904103594476495
y[1] (numeric) = 630299485.92549430902504034327013
absolute error = 1.599560149482e-11
relative error = 2.5377779693621373207144940520232e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.325
y[1] (analytic) = 631561346.337136831007854415922
y[1] (numeric) = 631561346.33713683099182679121138
absolute error = 1.602762471062e-11
relative error = 2.5377779694047671777451197491634e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.326
y[1] (analytic) = 632825732.99500678342939068164005
y[1] (numeric) = 632825732.9950067834133309696031
absolute error = 1.605971203695e-11
relative error = 2.5377779694487734666908352226415e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.327
y[1] (analytic) = 634092650.956652483634556367867
y[1] (numeric) = 634092650.95665248361846450426491
absolute error = 1.609186360209e-11
relative error = 2.5377779694832110143223151783378e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.328
y[1] (analytic) = 635362105.28974746743032638607525
y[1] (numeric) = 635362105.28974746741420230654049
absolute error = 1.612407953476e-11
relative error = 2.5377779695260315539740229618926e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.329
y[1] (analytic) = 636634101.07211075980263906010965
y[1] (numeric) = 636634101.0721107597864827001459
absolute error = 1.615635996375e-11
relative error = 2.5377779695655965221445563285044e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.33
y[1] (analytic) = 637908643.39172718619926649621045
y[1] (numeric) = 637908643.39172718618307779119222
absolute error = 1.618870501823e-11
relative error = 2.5377779696094874462555100379975e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.331
y[1] (analytic) = 639185737.3467677244759003547733
y[1] (numeric) = 639185737.34676772445967923994579
absolute error = 1.622111482751e-11
relative error = 2.5377779696466858243436496400710e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.332
y[1] (analytic) = 640465388.0456098975868608353263
y[1] (numeric) = 640465388.045609897570607245805
absolute error = 1.625358952130e-11
relative error = 2.5377779696882733133805604385056e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.333
y[1] (analytic) = 641747600.6068582071019996647493
y[1] (numeric) = 641747600.60685820708571353551985
absolute error = 1.628612922945e-11
relative error = 2.5377779697266162137088676330870e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.334
y[1] (analytic) = 643032380.15936460763153118359305
y[1] (numeric) = 643032380.15936460761521244951091
absolute error = 1.631873408214e-11
relative error = 2.5377779697650186909599388898977e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=1243.6MB, alloc=4.6MB, time=61.22
TOP MAIN SOLVE Loop
x[1] = 9.335
y[1] (analytic) = 644319731.8422490222406892571211
y[1] (numeric) = 644319731.84224902222433785291129
absolute error = 1.635140420981e-11
relative error = 2.5377779698066688357652852163047e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.336
y[1] (analytic) = 645609660.8049198989362716970563
y[1] (numeric) = 645609660.80491989891988755731318
absolute error = 1.638413974312e-11
relative error = 2.5377779698483631936160291284142e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.337
y[1] (analytic) = 646902172.20709480830729816761815
y[1] (numeric) = 646902172.20709480829088122680517
absolute error = 1.641694081298e-11
relative error = 2.5377779698851271715936598932548e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.338
y[1] (analytic) = 648197271.2188210824021721659463
y[1] (numeric) = 648197271.21882108238572235839568
absolute error = 1.644980755062e-11
relative error = 2.5377779699209512372746634611123e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.339
y[1] (analytic) = 649494963.02049649492490261307635
y[1] (numeric) = 649494963.02049649490841987298878
absolute error = 1.648274008757e-11
relative error = 2.5377779699655414367209982872597e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.34
y[1] (analytic) = 650795252.8028899828331058679279
y[1] (numeric) = 650795252.80288998281659012937245
absolute error = 1.651573855545e-11
relative error = 2.5377779700019131197209928584957e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.341
y[1] (analytic) = 652098145.76716240942067458394245
y[1] (numeric) = 652098145.76716240940412578085609
absolute error = 1.654880308636e-11
relative error = 2.5377779700463833368587607711572e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.342
y[1] (analytic) = 653403647.1248873689681657667293
y[1] (numeric) = 653403647.12488736895158383291683
absolute error = 1.658193381247e-11
relative error = 2.5377779700854096798309739089775e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.343
y[1] (analytic) = 654711762.09807203304412666201275
y[1] (numeric) = 654711762.09807203302751153114645
absolute error = 1.661513086630e-11
relative error = 2.5377779701185740345014215929492e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.344
y[1] (analytic) = 656022495.9191780385407437069782
y[1] (numeric) = 656022495.91917803852409531259747
absolute error = 1.664839438073e-11
relative error = 2.5377779701598955431193212380907e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.345
y[1] (analytic) = 657335853.8311424175273667154637
y[1] (numeric) = 657335853.83114241751068499097496
absolute error = 1.668172448874e-11
relative error = 2.5377779701980519883522882616746e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.346
y[1] (analytic) = 658651841.087398569005627739001
y[1] (numeric) = 658651841.08739856898891261767731
absolute error = 1.671512132369e-11
relative error = 2.5377779702390626688419130719213e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.347
y[1] (analytic) = 659970462.9518972726500416521428
y[1] (numeric) = 659970462.9518972726332930671237
absolute error = 1.674858501910e-11
relative error = 2.5377779702726999795728106522478e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.348
y[1] (analytic) = 661291724.69912774461814345249795
y[1] (numeric) = 661291724.69912774460136133678901
absolute error = 1.678211570894e-11
relative error = 2.5377779703164242401301676030143e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.349
y[1] (analytic) = 662615631.6141387355143855440969
y[1] (numeric) = 662615631.61413873549756983056967
absolute error = 1.681571352723e-11
relative error = 2.5377779703546598741044872536130e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.35
y[1] (analytic) = 663942188.9925596705921868878087
y[1] (numeric) = 663942188.99255967057533750920033
absolute error = 1.684937860837e-11
relative error = 2.5377779703887470601202956063089e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.351
y[1] (analytic) = 665271402.1406218322786948551919
y[1] (numeric) = 665271402.14062183226181174410481
absolute error = 1.688311108709e-11
relative error = 2.5377779704291768307241044818482e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.352
y[1] (analytic) = 666603276.37517958510698991307045
y[1] (numeric) = 666603276.37517958509007300197218
absolute error = 1.691691109827e-11
relative error = 2.5377779704684162307447176399556e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.353
y[1] (analytic) = 667937817.0237316431406328959536
y[1] (numeric) = 667937817.02373164312368211717651
absolute error = 1.695077877709e-11
relative error = 2.5377779705034643349649600523520e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.354
y[1] (analytic) = 669275029.4244423799756245928452
y[1] (numeric) = 669275029.42444237995863987858611
absolute error = 1.698471425909e-11
relative error = 2.5377779705446913937264207414225e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.355
y[1] (analytic) = 670614918.92616318140501768469375
y[1] (numeric) = 670614918.9261631813879989670138
absolute error = 1.701871767995e-11
relative error = 2.5377779705828188585948621919334e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.356
y[1] (analytic) = 671957490.88845384083159171940195
y[1] (numeric) = 671957490.88845384081453893022627
absolute error = 1.705278917568e-11
relative error = 2.5377779706173100545798642195236e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.357
y[1] (analytic) = 673302750.68160399751417280362225
y[1] (numeric) = 673302750.68160399749708587473962
absolute error = 1.708692888263e-11
relative error = 2.5377779706576876307074566054995e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.358
y[1] (analytic) = 674650703.6866546177333510252015
y[1] (numeric) = 674650703.68665461771622988826418
absolute error = 1.712113693732e-11
relative error = 2.5377779706981540603806941034449e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.359
y[1] (analytic) = 676001355.29541951896252029778645
y[1] (numeric) = 676001355.29541951894536488430987
absolute error = 1.715541347658e-11
relative error = 2.5377779707383735238974318052295e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.36
y[1] (analytic) = 677354710.91050693713033734044785
y[1] (numeric) = 677354710.91050693711314758181036
absolute error = 1.718975863749e-11
relative error = 2.5377779707744787848500921658562e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.361
y[1] (analytic) = 678710775.94534113706086887091575
y[1] (numeric) = 678710775.9453411370436446983583
absolute error = 1.722417255745e-11
relative error = 2.5377779708093393499861183859167e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.362
y[1] (analytic) = 680069555.8241840661778688018285
y[1] (numeric) = 680069555.82418406616061014645437
absolute error = 1.725865537413e-11
relative error = 2.5377779708450613304286153049257e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.363
y[1] (analytic) = 681431055.98215705155980028597595
memory used=1247.4MB, alloc=4.6MB, time=61.41
y[1] (numeric) = 681431055.98215705154250707875045
absolute error = 1.729320722550e-11
relative error = 2.5377779708873166495176836229754e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.364
y[1] (analytic) = 682795281.8652625404323908595543
y[1] (numeric) = 682795281.8652625404150630313046
absolute error = 1.732782824970e-11
relative error = 2.5377779709261871507033001232186e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.365
y[1] (analytic) = 684162238.9304058841856826826409
y[1] (numeric) = 684162238.93040588416832016405567
absolute error = 1.736251858523e-11
relative error = 2.5377779709640105028104197331508e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.366
y[1] (analytic) = 685531932.64541716600271397413475
y[1] (numeric) = 685531932.64541716598531669576391
absolute error = 1.739727837084e-11
relative error = 2.5377779709991314219534020851537e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.367
y[1] (analytic) = 686904368.48907307218714218499245
y[1] (numeric) = 686904368.48907307216971007724682
absolute error = 1.743210774563e-11
relative error = 2.5377779710404187314389156138291e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.368
y[1] (analytic) = 688279551.9511188072772942494135
y[1] (numeric) = 688279551.9511188072598272425647
absolute error = 1.746700684880e-11
relative error = 2.5377779710707570375290574573707e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.369
y[1] (analytic) = 689657488.53229005303430439939715
y[1] (numeric) = 689657488.53229005301680242357704
absolute error = 1.750197582011e-11
relative error = 2.5377779711139249301770496846627e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.37
y[1] (analytic) = 691038183.744334971392175524499
y[1] (numeric) = 691038183.74433497137463850969973
absolute error = 1.753701479927e-11
relative error = 2.5377779711458333503511670490419e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.371
y[1] (analytic) = 692421643.11003625145777590637225
y[1] (numeric) = 692421643.1100362514402037824457
absolute error = 1.757212392655e-11
relative error = 2.5377779711830186466584797123806e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.372
y[1] (analytic) = 693807872.1632332006489593574744
y[1] (numeric) = 693807872.16323320063135205413205
absolute error = 1.760730334235e-11
relative error = 2.5377779712201800720146734522105e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.373
y[1] (analytic) = 695196876.44884388005917334587635
y[1] (numeric) = 695196876.44884388004153079268896
absolute error = 1.764255318739e-11
relative error = 2.5377779712576468606743573596474e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.374
y[1] (analytic) = 696588661.52288728413709659411945
y[1] (numeric) = 696588661.52288728411941872051679
absolute error = 1.767787360266e-11
relative error = 2.5377779712940635547426696140858e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.375
y[1] (analytic) = 697983232.9525055647700249002441
y[1] (numeric) = 697983232.95250556475231163551463
absolute error = 1.771326472947e-11
relative error = 2.5377779713334895130461622752424e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.376
y[1] (analytic) = 699380596.3159862998599015441651
y[1] (numeric) = 699380596.31598629984215281745574
absolute error = 1.774872670936e-11
relative error = 2.5377779713723955374936790311122e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.377
y[1] (analytic) = 700780757.20278480648106661320705
y[1] (numeric) = 700780757.20278480646328235352289
absolute error = 1.778425968416e-11
relative error = 2.5377779714082205958404622487236e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.378
y[1] (analytic) = 702183721.21354649870897790754785
y[1] (numeric) = 702183721.21354649869115804375181
absolute error = 1.781986379604e-11
relative error = 2.5377779714464021299873574175673e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.379
y[1] (analytic) = 703589493.9601292902093347702642
y[1] (numeric) = 703589493.96012929019147923107686
absolute error = 1.785553918734e-11
relative error = 2.5377779714760536333617636958629e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.38
y[1] (analytic) = 704998081.06562604167721522834515
y[1] (numeric) = 704998081.06562604165932394234424
absolute error = 1.789128600091e-11
relative error = 2.5377779715182737881432943129657e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.381
y[1] (analytic) = 706409488.164387053216016231151
y[1] (numeric) = 706409488.16438705319808912677141
absolute error = 1.792710437959e-11
relative error = 2.5377779715521348681828937725822e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.382
y[1] (analytic) = 707823720.90204260174616653207
y[1] (numeric) = 707823720.9020426017282035376033
absolute error = 1.796299446670e-11
relative error = 2.5377779715842472132157941315433e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.383
y[1] (analytic) = 709240784.93552552353376187827275
y[1] (numeric) = 709240784.93552552351576292186691
absolute error = 1.799895640584e-11
relative error = 2.5377779716202049859664576711163e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.384
y[1] (analytic) = 710660685.93309384192945265321585
y[1] (numeric) = 710660685.933093841911417662875
absolute error = 1.803499034085e-11
relative error = 2.5377779716588866914185295142497e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.385
y[1] (analytic) = 712083429.5743534404080949576156
y[1] (numeric) = 712083429.57435344039002386119977
absolute error = 1.807109641583e-11
relative error = 2.5377779716952498988218362193558e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.386
y[1] (analytic) = 713509021.5502807809998573177268
y[1] (numeric) = 713509021.5502807809817500429516
absolute error = 1.810727477520e-11
relative error = 2.5377779717286987962453495065457e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.387
y[1] (analytic) = 714937467.5632456682036567756447
y[1] (numeric) = 714937467.56324566818551325008095
absolute error = 1.814352556375e-11
relative error = 2.5377779717699527846089399626774e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.388
y[1] (analytic) = 716368773.32703405847398004572595
y[1] (numeric) = 716368773.32703405845580019679959
absolute error = 1.817984892636e-11
relative error = 2.5377779718017666445321208376467e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.389
y[1] (analytic) = 717802944.56687091537232771482695
y[1] (numeric) = 717802944.56687091535411146981851
absolute error = 1.821624500844e-11
relative error = 2.5377779718404268318117791599177e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.39
y[1] (analytic) = 719239987.01944311047470212260835
y[1] (numeric) = 719239987.01944311045644940865285
absolute error = 1.825271395550e-11
relative error = 2.5377779718755510496005809041231e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.391
y[1] (analytic) = 720679906.4329223701267425823933
y[1] (numeric) = 720679906.43292237010845332647987
absolute error = 1.828925591343e-11
relative error = 2.5377779719091254162783102023341e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1251.2MB, alloc=4.6MB, time=61.60
x[1] = 9.392
y[1] (analytic) = 722122708.566988268138294993715
y[1] (numeric) = 722122708.56698826811996912268657
absolute error = 1.832587102843e-11
relative error = 2.5377779719456068715222368841868e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.393
y[1] (analytic) = 723568399.19285126450938665548925
y[1] (numeric) = 723568399.19285126449102409604231
absolute error = 1.836255944694e-11
relative error = 2.5377779719821433343984068035700e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.394
y[1] (analytic) = 725016984.0932757902797612144297
y[1] (numeric) = 725016984.09327579026136189311399
absolute error = 1.839932131571e-11
relative error = 2.5377779720182206850280223556872e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.395
y[1] (analytic) = 726468469.06260337859431317762515
y[1] (numeric) = 726468469.06260337857587702084341
absolute error = 1.843615678174e-11
relative error = 2.5377779720472995846260391234542e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.396
y[1] (analytic) = 727922859.90677584207694628185875
y[1] (numeric) = 727922859.90677584205847321586625
absolute error = 1.847306599250e-11
relative error = 2.5377779720870178667606168656725e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.397
y[1] (analytic) = 729380162.44335849660556524600485
y[1] (numeric) = 729380162.44335849658705519690936
absolute error = 1.851004909549e-11
relative error = 2.5377779721185432701181727232908e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.398
y[1] (analytic) = 730840382.5015634315810960374371
y[1] (numeric) = 730840382.50156343156254893119839
absolute error = 1.854710623871e-11
relative error = 2.5377779721511657954567514708960e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.399
y[1] (analytic) = 732303525.9222728267836157595542
y[1] (numeric) = 732303525.9222728267650315219838
absolute error = 1.858423757040e-11
relative error = 2.5377779721864323073447268518784e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.4
y[1] (analytic) = 733769598.5580623159088596160331
y[1] (numeric) = 733769598.55806231589023817279403
absolute error = 1.862144323907e-11
relative error = 2.5377779722222311908310652763900e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.401
y[1] (analytic) = 735238606.2732243968785591289886
y[1] (numeric) = 735238606.27322439685990040559506
absolute error = 1.865872339354e-11
relative error = 2.5377779722581884446340725765522e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.402
y[1] (analytic) = 736710554.94379188901825288360585
y[1] (numeric) = 736710554.94379188899955680542291
absolute error = 1.869607818294e-11
relative error = 2.5377779722955696025202496726559e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.403
y[1] (analytic) = 738185450.457561437196398541765
y[1] (numeric) = 738185450.45756143717766503400837
absolute error = 1.873350775663e-11
relative error = 2.5377779723263451801942118654656e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.404
y[1] (analytic) = 739663298.7141170630188027124453
y[1] (numeric) = 739663298.71411706300003170018089
absolute error = 1.877101226441e-11
relative error = 2.5377779723615939745915664283803e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.405
y[1] (analytic) = 741144105.62485376317257348802885
y[1] (numeric) = 741144105.6248537631537648961726
absolute error = 1.880859185625e-11
relative error = 2.5377779723948015262870436622072e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.406
y[1] (analytic) = 742627877.11300115501398905377975
y[1] (numeric) = 742627877.11300115499514280709721
absolute error = 1.884624668254e-11
relative error = 2.5377779724356188664133810754024e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.407
y[1] (analytic) = 744114619.1136471694948647534993
y[1] (numeric) = 744114619.11364716947598077660555
absolute error = 1.888397689375e-11
relative error = 2.5377779724639285935370901373825e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.408
y[1] (analytic) = 745604337.57376179152219034841765
y[1] (numeric) = 745604337.57376179150326856577668
absolute error = 1.892178264097e-11
relative error = 2.5377779725024855428267472367565e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.409
y[1] (analytic) = 747097038.4522208478459989395227
y[1] (numeric) = 747097038.45222084782703927544741
absolute error = 1.895966407529e-11
relative error = 2.5377779725334206098352063370190e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.41
y[1] (analytic) = 748592727.71982984257061913652135
y[1] (numeric) = 748592727.71982984255162151517302
absolute error = 1.899762134833e-11
relative error = 2.5377779725693643848695973577211e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.411
y[1] (analytic) = 750091411.35934784038465255022055
y[1] (numeric) = 750091411.35934784036561689560867
absolute error = 1.903565461188e-11
relative error = 2.5377779726050682190368752181064e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.412
y[1] (analytic) = 751593095.36551139760520956008375
y[1] (numeric) = 751593095.36551139758613579606568
absolute error = 1.907376401807e-11
relative error = 2.5377779726401201522595074060493e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.413
y[1] (analytic) = 753097785.7450585411321275658132
y[1] (numeric) = 753097785.7450585411130156160939
absolute error = 1.911194971930e-11
relative error = 2.5377779726695210582322962735596e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.414
y[1] (analytic) = 754605488.5167527954080875718034
y[1] (numeric) = 754605488.516752795388937359935
absolute error = 1.915021186840e-11
relative error = 2.5377779727048528150642047107596e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.415
y[1] (analytic) = 756116209.7114072574807369769675
y[1] (numeric) = 756116209.71140725746154842634911
absolute error = 1.918855061839e-11
relative error = 2.5377779727422909040115318427862e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.416
y[1] (analytic) = 757629955.3719087202631188505285
y[1] (numeric) = 757629955.37190872024389188440593
absolute error = 1.922696612257e-11
relative error = 2.5377779727745562038046432979039e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.417
y[1] (analytic) = 759146731.55324184408890076765655
y[1] (numeric) = 759146731.55324184406963530912188
absolute error = 1.926545853467e-11
relative error = 2.5377779728106278764099110122262e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.418
y[1] (analytic) = 760666544.32251337665908945809585
y[1] (numeric) = 760666544.32251337663978543008725
absolute error = 1.930402800860e-11
relative error = 2.5377779728426345207677004328517e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.419
y[1] (analytic) = 762189399.758976421477111086934
y[1] (numeric) = 762189399.75897642145776841223534
absolute error = 1.934267469866e-11
relative error = 2.5377779728734935549071298076335e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.42
y[1] (analytic) = 763715303.954054754869330940192
y[1] (numeric) = 763715303.95405475484994954143255
absolute error = 1.938139875945e-11
relative error = 2.5377779729049384494884101739732e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=1255.0MB, alloc=4.6MB, time=61.78
TOP MAIN SOLVE Loop
x[1] = 9.421
y[1] (analytic) = 765244263.01136719168828062973675
y[1] (numeric) = 765244263.01136719166886042939086
absolute error = 1.942020034589e-11
relative error = 2.5377779729400631799565598950908e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.422
y[1] (analytic) = 766776283.04675199979605566291235
y[1] (numeric) = 766776283.04675199977659658329919
absolute error = 1.945907961316e-11
relative error = 2.5377779729754027938876917701356e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.423
y[1] (analytic) = 768311370.1882913634255413430332
y[1] (numeric) = 768311370.18829136340604330631648
absolute error = 1.949803671672e-11
relative error = 2.5377779730035211185171714403278e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.424
y[1] (analytic) = 769849530.57633589551732047826055
y[1] (numeric) = 769849530.57633589549778340644801
absolute error = 1.953707181254e-11
relative error = 2.5377779730428457354286117639004e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.425
y[1] (analytic) = 771390770.36352919913031227917545
y[1] (numeric) = 771390770.36352919911073609411883
absolute error = 1.957618505662e-11
relative error = 2.5377779730751038230305248644072e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.426
y[1] (analytic) = 772935095.7148324780243881203539
y[1] (numeric) = 772935095.71483247800477274374846
absolute error = 1.961537660544e-11
relative error = 2.5377779731038268909376956646385e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.427
y[1] (analytic) = 774482512.80754919651340652921995
y[1] (numeric) = 774482512.80754919649375188260409
absolute error = 1.965464661586e-11
relative error = 2.5377779731411410318073782202071e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.428
y[1] (analytic) = 776033027.8313497886873068471968
y[1] (numeric) = 776033027.83134978866761285195195
absolute error = 1.969399524485e-11
relative error = 2.5377779731728077834340475618062e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.429
y[1] (analytic) = 777586646.98829641710209848447705
y[1] (numeric) = 777586646.98829641708236506182718
absolute error = 1.973342264987e-11
relative error = 2.5377779732072753750437021567732e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.43
y[1] (analytic) = 779143376.4928677810367805613794
y[1] (numeric) = 779143376.4928677810170076323908
absolute error = 1.977292898860e-11
relative error = 2.5377779732407184086293622556331e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.431
y[1] (analytic) = 780703222.5719839744164249970491
y[1] (numeric) = 780703222.57198397439661248263003
absolute error = 1.981251441907e-11
relative error = 2.5377779732737309859090492851085e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.432
y[1] (analytic) = 782266191.4650313935008547709778
y[1] (numeric) = 782266191.46503139348100259187821
absolute error = 1.985217909959e-11
relative error = 2.5377779733022535454040580134579e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.433
y[1] (analytic) = 783832289.4238876944385481452665
y[1] (numeric) = 783832289.42388769441865622207761
absolute error = 1.989192318889e-11
relative error = 2.5377779733353994886091330678778e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.434
y[1] (analytic) = 785401522.7129468007855990965247
y[1] (numeric) = 785401522.7129468007656673496788
absolute error = 1.993174684590e-11
relative error = 2.5377779733672317899883962631434e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.435
y[1] (analytic) = 786973897.60914396108976406659155
y[1] (numeric) = 786973897.60914396106979241636162
absolute error = 1.997165022993e-11
relative error = 2.5377779733997046066153704062405e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.436
y[1] (analytic) = 788549420.4019808566398254016755
y[1] (numeric) = 788549420.40198085661981376817492
absolute error = 2.001163350058e-11
relative error = 2.5377779734310905158975199882745e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.437
y[1] (analytic) = 790128097.3935507594807025108436
y[1] (numeric) = 790128097.3935507594606508140258
absolute error = 2.005169681780e-11
relative error = 2.5377779734635301181423872582248e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.438
y[1] (analytic) = 791709934.89856374079494283784885
y[1] (numeric) = 791709934.89856374077485099750699
absolute error = 2.009184034186e-11
relative error = 2.5377779734991233933735361881225e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.439
y[1] (analytic) = 793294939.2443719297514262058708
y[1] (numeric) = 793294939.24437192973129414163752
absolute error = 2.013206423328e-11
relative error = 2.5377779735310252613719996788457e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.44
y[1] (analytic) = 794883116.7709948229223179636654
y[1] (numeric) = 794883116.7709948229021455950124
absolute error = 2.017236865300e-11
relative error = 2.5377779735648408471859108059761e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.441
y[1] (analytic) = 796474473.8311446443695086346821
y[1] (numeric) = 796474473.83114464434929588091991
absolute error = 2.021275376219e-11
relative error = 2.5377779735945654452229665225520e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.442
y[1] (analytic) = 798069016.7902517565019804487209
y[1] (numeric) = 798069016.79025175648172722899846
absolute error = 2.025321972244e-11
relative error = 2.5377779736264269389073482055439e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.443
y[1] (analytic) = 799666752.026490121805744219476
y[1] (numeric) = 799666752.02649012178545045278038
absolute error = 2.029376669562e-11
relative error = 2.5377779736611757398184046409609e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.444
y[1] (analytic) = 801267685.9308028155481935216629
y[1] (numeric) = 801267685.93080281552785912681903
absolute error = 2.033439484387e-11
relative error = 2.5377779736928104330708690180599e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.445
y[1] (analytic) = 802871824.9069275895589270191627
y[1] (numeric) = 802871824.90692758953855191483297
absolute error = 2.037510432973e-11
relative error = 2.5377779737247562687591198485139e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.446
y[1] (analytic) = 804479175.37142248718929410155755
y[1] (numeric) = 804479175.3714224871688782062415
absolute error = 2.041589531605e-11
relative error = 2.5377779737585030626211171390347e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.447
y[1] (analytic) = 806089743.75369150955312370139335
y[1] (numeric) = 806089743.75369150953266693342738
absolute error = 2.045676796597e-11
relative error = 2.5377779737910624772988167455116e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.448
y[1] (analytic) = 807703536.4960103331513012893067
y[1] (numeric) = 807703536.49601033313080356686376
absolute error = 2.049772244294e-11
relative error = 2.5377779738174080517369346661476e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1258.9MB, alloc=4.6MB, time=61.96
x[1] = 9.449
y[1] (analytic) = 809320560.0535520789830645796142
y[1] (numeric) = 809320560.05355207896252582070331
absolute error = 2.053875891089e-11
relative error = 2.5377779738514201511238354684055e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.45
y[1] (analytic) = 810940820.89441313324709442590525
y[1] (numeric) = 810940820.89441313322651454837137
absolute error = 2.057987753388e-11
relative error = 2.5377779738824567382048037778069e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.451
y[1] (analytic) = 812564325.49963901973568374543055
y[1] (numeric) = 812564325.49963901971506266695415
absolute error = 2.062107847640e-11
relative error = 2.5377779739124371486621447554004e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.452
y[1] (analytic) = 814191080.3632503240254740834576
y[1] (numeric) = 814191080.36325032400481172155432
absolute error = 2.066236190328e-11
relative error = 2.5377779739445823069689235001736e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.453
y[1] (analytic) = 815821091.9922686695684566151054
y[1] (numeric) = 815821091.99226866954775288712578
absolute error = 2.070372797962e-11
relative error = 2.5377779739747405305852173624684e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.454
y[1] (analytic) = 817454366.90674274578714198329735
y[1] (numeric) = 817454366.90674274576639680642645
absolute error = 2.074517687090e-11
relative error = 2.5377779740048366585551078668025e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.455
y[1] (analytic) = 819090911.63977438827801138821545
y[1] (numeric) = 819090911.63977438825722467947249
absolute error = 2.078670874296e-11
relative error = 2.5377779740402889772426775892962e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.456
y[1] (analytic) = 820730732.7375447112275697768339
y[1] (numeric) = 820730732.73754471120674145307204
absolute error = 2.082832376186e-11
relative error = 2.5377779740728354704192598734140e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.457
y[1] (analytic) = 822373836.7593402921455308315884
y[1] (numeric) = 822373836.75934029212466080949433
absolute error = 2.087002209407e-11
relative error = 2.5377779741036933131997260456599e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.458
y[1] (analytic) = 824020230.27757940901987272583355
y[1] (numeric) = 824020230.27757940899896092192719
absolute error = 2.091180390636e-11
relative error = 2.5377779741300345134940863826710e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.459
y[1] (analytic) = 825669919.8778383299987133012948
y[1] (numeric) = 825669919.87783832997775963192884
absolute error = 2.095366936596e-11
relative error = 2.5377779741643236747880993292890e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.46
y[1] (analytic) = 827322912.15887765570416343006775
y[1] (numeric) = 827322912.15887765568316781142752
absolute error = 2.099561864023e-11
relative error = 2.5377779741941968419247224330318e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.461
y[1] (analytic) = 828979213.7326687142835278517026
y[1] (numeric) = 828979213.73266871426249019980562
absolute error = 2.103765189698e-11
relative error = 2.5377779742212299290673234037327e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.462
y[1] (analytic) = 830638831.2244200093034337253694
y[1] (numeric) = 830638831.22442000928235395606495
absolute error = 2.107976930445e-11
relative error = 2.5377779742583113639758319587664e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.463
y[1] (analytic) = 832301771.27260372059267850888225
y[1] (numeric) = 832301771.27260372057155653785129
absolute error = 2.112197103096e-11
relative error = 2.5377779742873961542623042112445e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.464
y[1] (analytic) = 833968040.5289822581398005713095
y[1] (numeric) = 833968040.52898225811863631406414
absolute error = 2.116425724536e-11
relative error = 2.5377779743136924965255192899293e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.465
y[1] (analytic) = 835637645.6586348691515881648563
y[1] (numeric) = 835637645.6586348691303815367394
absolute error = 2.120662811690e-11
relative error = 2.5377779743497924102358289635967e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.466
y[1] (analytic) = 837310593.3399842983789550255318
y[1] (numeric) = 837310593.3399842983577059417169
absolute error = 2.124908381490e-11
relative error = 2.5377779743761050637277369484570e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.467
y[1] (analytic) = 838986890.2648235018168239416516
y[1] (numeric) = 838986890.26482350179553231714227
absolute error = 2.129162450933e-11
relative error = 2.5377779744102279714800754637419e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.468
y[1] (analytic) = 840666543.13834241388487312532595
y[1] (numeric) = 840666543.13834241386353887495574
absolute error = 2.133425037021e-11
relative error = 2.5377779744351235221130730456298e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.469
y[1] (analytic) = 842349558.6791547681962141456111
y[1] (numeric) = 842349558.67915476817483718404292
absolute error = 2.137696156818e-11
relative error = 2.5377779744670513473663767050075e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.47
y[1] (analytic) = 844035943.61932497202128453379435
y[1] (numeric) = 844035943.61932497199986477552031
absolute error = 2.141975827404e-11
relative error = 2.5377779745006555093426268834074e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.471
y[1] (analytic) = 845725704.7043950345544529522175
y[1] (numeric) = 845725704.7043950345329903115586
absolute error = 2.146264065890e-11
relative error = 2.5377779745268352349163556589026e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.472
y[1] (analytic) = 847418848.69341154909105002896315
y[1] (numeric) = 847418848.69341154906954442006878
absolute error = 2.150560889437e-11
relative error = 2.5377779745551227619315176969944e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.473
y[1] (analytic) = 849115382.358952729222753602503
y[1] (numeric) = 849115382.35895272920120493935065
absolute error = 2.154866315235e-11
relative error = 2.5377779745886851333238474211026e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.474
y[1] (analytic) = 850815312.487155499159473193898
y[1] (numeric) = 850815312.487155499137881390293
absolute error = 2.159180360500e-11
relative error = 2.5377779746207805719623634907965e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.475
y[1] (analytic) = 852518645.87774263828609503020855
y[1] (numeric) = 852518645.87774263826445999978371
absolute error = 2.163503042484e-11
relative error = 2.5377779746465064880187255158545e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.476
y[1] (analytic) = 854225389.34404998006266588228755
y[1] (numeric) = 854225389.34404998004098753850267
absolute error = 2.167834378488e-11
relative error = 2.5377779746779190362001630383765e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.477
y[1] (analytic) = 855935549.7130536653768113539564
y[1] (numeric) = 855935549.71305366535508961009809
absolute error = 2.172174385831e-11
relative error = 2.5377779747075654094864911690309e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=1262.7MB, alloc=4.6MB, time=62.14
TOP MAIN SOLVE Loop
x[1] = 9.478
y[1] (analytic) = 857649133.82539745045740206857585
y[1] (numeric) = 857649133.8253974504356368377571
absolute error = 2.176523081875e-11
relative error = 2.5377779747377468984446748062498e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.479
y[1] (analytic) = 859366148.53542006945869944408615
y[1] (numeric) = 859366148.535420069436890639246
absolute error = 2.180880484015e-11
relative error = 2.5377779747687044573677838822144e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.48
y[1] (analytic) = 861086600.7111826518244314295835
y[1] (numeric) = 861086600.7111826518025789634867
absolute error = 2.185246609680e-11
relative error = 2.5377779747997197147653908625062e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.481
y[1] (analytic) = 862810497.23449619454146769629205
y[1] (numeric) = 862810497.23449619451957148152875
absolute error = 2.189621476330e-11
relative error = 2.5377779748255667342816901231887e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.482
y[1] (analytic) = 864537845.00094908939298333426215
y[1] (numeric) = 864537845.00094908937104328324743
absolute error = 2.194005101472e-11
relative error = 2.5377779748549832677854818589345e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.483
y[1] (analytic) = 866268650.9199347053212201041521
y[1] (numeric) = 866268650.91993470529923612912572
absolute error = 2.198397502638e-11
relative error = 2.5377779748850543841144831696647e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.484
y[1] (analytic) = 868002921.91467902601017473191555
y[1] (numeric) = 868002921.91467902598814674494159
absolute error = 2.202798697396e-11
relative error = 2.5377779749139204955229195095735e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.485
y[1] (analytic) = 869740664.9222683427987646139975
y[1] (numeric) = 869740664.92226834277669252696396
absolute error = 2.207208703354e-11
relative error = 2.5377779749452851990096291901372e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.486
y[1] (analytic) = 871481886.89367700303524262262545
y[1] (numeric) = 871481886.89367700301312634724398
absolute error = 2.211627538147e-11
relative error = 2.5377779749733618501818855078484e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.487
y[1] (analytic) = 873226594.7937952139838544658533
y[1] (numeric) = 873226594.79379521396169391365872
absolute error = 2.216055219458e-11
relative error = 2.5377779750069361599010763069124e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.488
y[1] (analytic) = 874974795.6014569023949542660584
y[1] (numeric) = 874974795.60145690237274934840856
absolute error = 2.220491764984e-11
relative error = 2.5377779750302817810565013203968e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.489
y[1] (analytic) = 876726496.30946762985001667450155
y[1] (numeric) = 876726496.30946762982776730257667
absolute error = 2.224937192488e-11
relative error = 2.5377779750626355713239348115530e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.49
y[1] (analytic) = 878481703.924632563993206939217
y[1] (numeric) = 878481703.92463256397091302401959
absolute error = 2.229391519741e-11
relative error = 2.5377779750917451311395507166283e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.491
y[1] (analytic) = 880240425.46778450576139388980965
y[1] (numeric) = 880240425.46778450573905534216405
absolute error = 2.233854764560e-11
relative error = 2.5377779751172718342009980218076e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.492
y[1] (analytic) = 882002667.97381197272471479657975
y[1] (numeric) = 882002667.97381197270233152713168
absolute error = 2.238326944807e-11
relative error = 2.5377779751494577098397530625895e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.493
y[1] (analytic) = 883768438.4916873386500255036791
y[1] (numeric) = 883768438.49168733862759742289551
absolute error = 2.242808078359e-11
relative error = 2.5377779751749934085126911946385e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.494
y[1] (analytic) = 885537744.0844950293997941276197
y[1] (numeric) = 885537744.08449502937732114578818
absolute error = 2.247298183152e-11
relative error = 2.5377779752068595908146252726918e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.495
y[1] (analytic) = 887310591.8294597752792219543026
y[1] (numeric) = 887310591.82945977525670398153121
absolute error = 2.251797277139e-11
relative error = 2.5377779752366499713645922402458e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.496
y[1] (analytic) = 889086988.8179749199446009607219
y[1] (numeric) = 889086988.81797491992203790693874
absolute error = 2.256305378316e-11
relative error = 2.5377779752639471356725123105106e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.497
y[1] (analytic) = 890866942.1556307859861436325182
y[1] (numeric) = 890866942.15563078596353540747098
absolute error = 2.260822504722e-11
relative error = 2.5377779752961622624070094504988e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.498
y[1] (analytic) = 892650458.96224309729874744652165
y[1] (numeric) = 892650458.96224309727609395977751
absolute error = 2.265348674414e-11
relative error = 2.5377779753203696454846643401131e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.499
y[1] (analytic) = 894437546.3718814583543835392399
y[1] (numeric) = 894437546.37188145833168470018478
absolute error = 2.269883905512e-11
relative error = 2.5377779753537397071050687660403e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.5
y[1] (analytic) = 896228211.53289789049002668881635
y[1] (numeric) = 896228211.5328978904672824066549
absolute error = 2.274428216145e-11
relative error = 2.5377779753829055380922379360957e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.501
y[1] (analytic) = 898022461.60795542532527180022895
y[1] (numeric) = 898022461.60795542530248198398402
absolute error = 2.278981624493e-11
relative error = 2.5377779754109559087942736213693e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.502
y[1] (analytic) = 899820303.7740567554240106023185
y[1] (numeric) = 899820303.77405675540117516083079
absolute error = 2.283544148771e-11
relative error = 2.5377779754394092776375778081530e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.503
y[1] (analytic) = 901621745.2225729423147712415549
y[1] (numeric) = 901621745.22257294229189008348264
absolute error = 2.288115807226e-11
relative error = 2.5377779754648212139772332141050e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.504
y[1] (analytic) = 903426793.159272181984552892177
y[1] (numeric) = 903426793.1592721819616259259955
absolute error = 2.292696618150e-11
relative error = 2.5377779754931427680724828307254e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.505
y[1] (analytic) = 905235454.8043486279612173963982
y[1] (numeric) = 905235454.80434862793824453039953
absolute error = 2.297286599867e-11
relative error = 2.5377779755251850391137259539957e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1266.5MB, alloc=4.6MB, time=62.33
x[1] = 9.506
y[1] (analytic) = 907047737.3924512720997303026754
y[1] (numeric) = 907047737.39245127207671144496809
absolute error = 2.301885770731e-11
relative error = 2.5377779755543845264970916539248e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.507
y[1] (analytic) = 908863648.1727128831877744855133
y[1] (numeric) = 908863648.17271288316470954402193
absolute error = 2.306494149137e-11
relative error = 2.5377779755788989911799561902560e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.508
y[1] (analytic) = 910683194.40877900348649080784305
y[1] (numeric) = 910683194.40877900346337969030777
absolute error = 2.311111753528e-11
relative error = 2.5377779756091662849556451031798e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.509
y[1] (analytic) = 912506383.37883700332233202759975
y[1] (numeric) = 912506383.37883700329917464157611
absolute error = 2.315738602364e-11
relative error = 2.5377779756337285770125995049451e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.51
y[1] (analytic) = 914333222.3756451938462483546549
y[1] (numeric) = 914333222.37564519382304460751326
absolute error = 2.320374714164e-11
relative error = 2.5377779756653049848302097123005e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.511
y[1] (analytic) = 916163718.70656199807665573366145
y[1] (numeric) = 916163718.70656199805340553258686
absolute error = 2.325020107459e-11
relative error = 2.5377779756891688247603472719291e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.512
y[1] (analytic) = 917997879.6935751803428710635812
y[1] (numeric) = 917997879.69357518031957431557276
absolute error = 2.329674800844e-11
relative error = 2.5377779757199854955436610509455e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.513
y[1] (analytic) = 919835712.67333113424593216660605
y[1] (numeric) = 919835712.67333113422258877847677
absolute error = 2.334338812928e-11
relative error = 2.5377779757470811017238175556351e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.514
y[1] (analytic) = 921677224.9971642292539543888054
y[1] (numeric) = 921677224.99716422923056426718168
absolute error = 2.339012162372e-11
relative error = 2.5377779757758433887130757564507e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.515
y[1] (analytic) = 923522424.0311262160494102530535
y[1] (numeric) = 923522424.03112621602597330437485
absolute error = 2.343694867865e-11
relative error = 2.5377779758014934507315955435339e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.516
y[1] (analytic) = 925371317.1560156907459535925635
y[1] (numeric) = 925371317.15601569072246972308208
absolute error = 2.348386948142e-11
relative error = 2.5377779758285579281049183578098e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.517
y[1] (analytic) = 927223911.7674076180926450716096
y[1] (numeric) = 927223911.76740761806911418738987
absolute error = 2.353088421973e-11
relative error = 2.5377779758588320618688181789528e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.518
y[1] (analytic) = 929080215.2756829137836719497041
y[1] (numeric) = 929080215.27568291376009395662253
absolute error = 2.357799308157e-11
relative error = 2.5377779758848679961094967714217e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.519
y[1] (analytic) = 930940235.10605808599189136755165
y[1] (numeric) = 930940235.10605808596826617129622
absolute error = 2.362519625543e-11
relative error = 2.5377779759125440799132925867534e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.52
y[1] (analytic) = 932803978.6986149362447633284752
y[1] (numeric) = 932803978.69861493622109083454509
absolute error = 2.367249393011e-11
relative error = 2.5377779759404825363373131635008e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.521
y[1] (analytic) = 934671453.5083303197614769186475
y[1] (numeric) = 934671453.5083303197377570323527
absolute error = 2.371988629480e-11
relative error = 2.5377779759686000702026874024774e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.522
y[1] (analytic) = 936542667.00510596537031115431305
y[1] (numeric) = 936542667.00510596534654378077397
absolute error = 2.376737353908e-11
relative error = 2.5377779759980141871496985495150e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.523
y[1] (analytic) = 938417626.67379835512551016520385
y[1] (numeric) = 938417626.67379835510169520935101
absolute error = 2.381495585284e-11
relative error = 2.5377779760224254079412862434850e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.524
y[1] (analytic) = 940296340.0142486637431912214895
y[1] (numeric) = 940296340.014248663719328588063
absolute error = 2.386263342650e-11
relative error = 2.5377779760515073949605777329691e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.525
y[1] (analytic) = 942178814.54131275797604338781225
y[1] (numeric) = 942178814.54131275795213298136155
absolute error = 2.391040645070e-11
relative error = 2.5377779760777643686631271565785e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.526
y[1] (analytic) = 944065057.7848912560468143432018
y[1] (numeric) = 944065057.78489125602285606808526
absolute error = 2.395827511654e-11
relative error = 2.5377779761020434175113471536102e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.527
y[1] (analytic) = 945955077.2899596472608231408956
y[1] (numeric) = 945955077.28995964723681690128005
absolute error = 2.400623961555e-11
relative error = 2.5377779761301992496362507253670e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.528
y[1] (analytic) = 947848880.6165984719179773982753
y[1] (numeric) = 947848880.61659847189392309813577
absolute error = 2.405430013953e-11
relative error = 2.5377779761560830011584356571530e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.529
y[1] (analytic) = 949746475.3400235616450146052285
y[1] (numeric) = 949746475.34002356162091214834775
absolute error = 2.410245688075e-11
relative error = 2.5377779761826393658098093146316e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.53
y[1] (analytic) = 951647869.05061634026892892022085
y[1] (numeric) = 951647869.05061634024477821018899
absolute error = 2.415071003186e-11
relative error = 2.5377779762122779118302691624451e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.531
y[1] (analytic) = 953553069.35395418535278698818705
y[1] (numeric) = 953553069.35395418532858792840126
absolute error = 2.419905978579e-11
relative error = 2.5377779762363104132749976302980e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.532
y[1] (analytic) = 955462083.8708408505153789639866
y[1] (numeric) = 955462083.87084085049113145765055
absolute error = 2.424750633605e-11
relative error = 2.5377779762663792370806085609178e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.533
y[1] (analytic) = 957374920.2373369486563940605903
y[1] (numeric) = 957374920.23733694863209801071399
absolute error = 2.429604987631e-11
relative error = 2.5377779762903038223936976937588e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.534
y[1] (analytic) = 959291586.1047904962090535633456
y[1] (numeric) = 959291586.10479049618470887274476
absolute error = 2.434469060084e-11
relative error = 2.5377779763181045836810019075544e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=1270.3MB, alloc=4.6MB, time=62.51
TOP MAIN SOLVE Loop
x[1] = 9.535
y[1] (analytic) = 961212089.13986751854237836157685
y[1] (numeric) = 961212089.13986751851798493287271
absolute error = 2.439342870414e-11
relative error = 2.5377779763432077390751344956527e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.536
y[1] (analytic) = 963136437.02458271663551264739925
y[1] (numeric) = 963136437.02458271661107038301804
absolute error = 2.444226438121e-11
relative error = 2.5377779763705632944743816513892e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.537
y[1] (analytic) = 965064637.4563301951467705199291
y[1] (numeric) = 965064637.45633019512227932210172
absolute error = 2.449119782738e-11
relative error = 2.5377779763988339786102261870647e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.538
y[1] (analytic) = 966996698.14791425200031781204825
y[1] (numeric) = 966996698.14791425197577758280988
absolute error = 2.454022923837e-11
relative error = 2.5377779764265818298316278007673e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.539
y[1] (analytic) = 968932626.82758022961364752750245
y[1] (numeric) = 968932626.82758022958905816869218
absolute error = 2.458935881027e-11
relative error = 2.5377779764501243242695269960326e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.54
y[1] (analytic) = 970872431.23904542788925383937065
y[1] (numeric) = 970872431.23904542786461525263097
absolute error = 2.463858673968e-11
relative error = 2.5377779764778960725530340743826e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.541
y[1] (analytic) = 972816119.141530079094156657818
y[1] (numeric) = 972816119.14153007906946874459452
absolute error = 2.468791322348e-11
relative error = 2.5377779765066044123201986550868e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.542
y[1] (analytic) = 974763698.30978838475117632653135
y[1] (numeric) = 974763698.30978838472643898807241
absolute error = 2.473733845894e-11
relative error = 2.5377779765325502097154141343182e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.543
y[1] (analytic) = 976715176.53413961466610605431825
y[1] (numeric) = 976715176.53413961464131919167447
absolute error = 2.478686264378e-11
relative error = 2.5377779765576942868074600800654e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.544
y[1] (analytic) = 978670561.6204992682151782320244
y[1] (numeric) = 978670561.62049926819034174604828
absolute error = 2.483648597612e-11
relative error = 2.5377779765844112507607931413195e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.545
y[1] (analytic) = 980629861.3904102980174698261834
y[1] (numeric) = 980629861.39041029799258361752898
absolute error = 2.488620865442e-11
relative error = 2.5377779766092859616170683772544e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.546
y[1] (analytic) = 982593083.68107439611714158065205
y[1] (numeric) = 982593083.68107439609220554977444
absolute error = 2.493603087761e-11
relative error = 2.5377779766363207719456706119085e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.547
y[1] (analytic) = 984560236.3453833428006557969025
y[1] (numeric) = 984560236.34538334277566984405756
absolute error = 2.498595284494e-11
relative error = 2.5377779766615455299930991258317e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.548
y[1] (analytic) = 986531327.2519504181743680036414
y[1] (numeric) = 986531327.25195041814933202888529
absolute error = 2.503597475611e-11
relative error = 2.5377779766861937447022520671697e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.549
y[1] (analytic) = 988506364.2851418766281388680043
y[1] (numeric) = 988506364.28514187660305277119306
absolute error = 2.508609681124e-11
relative error = 2.5377779767135350736642716333230e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.55
y[1] (analytic) = 990485355.3451084843108642447391
y[1] (numeric) = 990485355.34510848428572792552832
absolute error = 2.513631921078e-11
relative error = 2.5377779767396876745642288572181e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.551
y[1] (analytic) = 992468308.3478171197440733075489
y[1] (numeric) = 992468308.34781711971888666539327
absolute error = 2.518664215563e-11
relative error = 2.5377779767656997804824741177900e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.552
y[1] (analytic) = 994455231.22508243769999725912065
y[1] (numeric) = 994455231.22508243767476019327356
absolute error = 2.523706584709e-11
relative error = 2.5377779767923919208005064587927e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.553
y[1] (analytic) = 996446131.92459859647076417433305
y[1] (numeric) = 996446131.92459859644547658384621
absolute error = 2.528759048684e-11
relative error = 2.5377779768182712171917810693369e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.554
y[1] (analytic) = 998441018.4099710486556290957262
y[1] (numeric) = 998441018.40997104863029087944922
absolute error = 2.533821627698e-11
relative error = 2.5377779768434799035653378293565e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.555
y[1] (analytic) = 1000439898.660748395593402572541
y[1] (numeric) = 1000439898.660748395568013629121
absolute error = 2.53889434200e-11
relative error = 2.5377779768666995660073696429117e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.556
y[1] (analytic) = 1002442780.672454305567495415515
y[1] (numeric) = 1002442780.6724543055420556433962
absolute error = 2.54397721188e-11
relative error = 2.5377779768870800514598101579802e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.557
y[1] (analytic) = 1004449672.4566194959112525301716
y[1] (numeric) = 1004449672.4566194958857618275948
absolute error = 2.54907025768e-11
relative error = 2.5377779769151053089759447434674e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.558
y[1] (analytic) = 1006460582.04081377914150429258
y[1] (numeric) = 1006460582.0408137791159625575824
absolute error = 2.55417349976e-11
relative error = 2.5377779769386176418969319214196e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.559
y[1] (analytic) = 1008475517.468678173248520044521
y[1] (numeric) = 1008475517.4686781732229271749356
absolute error = 2.55928695854e-11
relative error = 2.5377779769646096957710297555080e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.56
y[1] (analytic) = 1010494486.7999570762708049106848
y[1] (numeric) = 1010494486.7999570762451608041401
absolute error = 2.56441065447e-11
relative error = 2.5377779769892643919911800836837e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.561
y[1] (analytic) = 1012517498.1105305052834382799882
y[1] (numeric) = 1012517498.1105305052577428339078
absolute error = 2.56954460804e-11
relative error = 2.5377779770078582068160362979102e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.562
y[1] (analytic) = 1014544559.492446399928909947351
y[1] (numeric) = 1014544559.4924463999031630589531
absolute error = 2.57468883979e-11
relative error = 2.5377779770245462145299330071310e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.563
y[1] (analytic) = 1016575679.0539529906196680823465
y[1] (numeric) = 1016575679.0539529905938696486434
absolute error = 2.57984337031e-11
relative error = 2.5377779770521927749260100105889e-18 %
memory used=1274.1MB, alloc=4.6MB, time=62.70
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.564
y[1] (analytic) = 1018610864.9195312315418518780758
y[1] (numeric) = 1018610864.9195312315160017958737
absolute error = 2.58500822021e-11
relative error = 2.5377779770827516830345801151893e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.565
y[1] (analytic) = 1020650125.2299272985899409384418
y[1] (numeric) = 1020650125.2299272985640391043404
absolute error = 2.59018341014e-11
relative error = 2.5377779771069891019733574396970e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.566
y[1] (analytic) = 1022693468.1421851523623131857489
y[1] (numeric) = 1022693468.1421851523363594961408
absolute error = 2.59536896081e-11
relative error = 2.5377779771339711457504716991690e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.567
y[1] (analytic) = 1024740901.8296791663479633142793
y[1] (numeric) = 1024740901.8296791663219576653498
absolute error = 2.60056489295e-11
relative error = 2.5377779771517663698099055256061e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.568
y[1] (analytic) = 1026792434.4821468204348945802226
y[1] (numeric) = 1026792434.482146820408836867949
absolute error = 2.60577122736e-11
relative error = 2.5377779771762697049000295752451e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.569
y[1] (analytic) = 1028848074.3057214598709580051182
y[1] (numeric) = 1028848074.3057214598448481252695
absolute error = 2.61098798487e-11
relative error = 2.5377779772119657114490463107699e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.57
y[1] (analytic) = 1030907829.5229651198081748798446
y[1] (numeric) = 1030907829.5229651197820127279814
absolute error = 2.61621518632e-11
relative error = 2.5377779772325607550411048069003e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.571
y[1] (analytic) = 1032971708.3729014155618407902142
y[1] (numeric) = 1032971708.3729014155356262616878
absolute error = 2.62145285264e-11
relative error = 2.5377779772586559552689919259152e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.572
y[1] (analytic) = 1035039719.1110484987159722444399
y[1] (numeric) = 1035039719.1110484986897052343922
absolute error = 2.62670100477e-11
relative error = 2.5377779772799072318002605869524e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.573
y[1] (analytic) = 1037111870.0094520792069203682049
y[1] (numeric) = 1037111870.0094520791806007715678
absolute error = 2.63195966371e-11
relative error = 2.5377779773034636288069381573282e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.574
y[1] (analytic) = 1039188169.3567185135172400458172
y[1] (numeric) = 1039188169.3567185134908677573123
absolute error = 2.63722885049e-11
relative error = 2.5377779773248434781707890279530e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.575
y[1] (analytic) = 1041268625.458047959112167327045
y[1] (numeric) = 1041268625.4580479590857422411831
absolute error = 2.64250858619e-11
relative error = 2.5377779773471768409389283588979e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.576
y[1] (analytic) = 1043353246.635267595251322889747
y[1] (numeric) = 1043353246.6352675952248449008277
absolute error = 2.64779889193e-11
relative error = 2.5377779773714643592851425508858e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.577
y[1] (analytic) = 1045442041.2268649103085248494072
y[1] (numeric) = 1045442041.2268649102819938515185
absolute error = 2.65309978887e-11
relative error = 2.5377779773965176007064646369020e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.578
y[1] (analytic) = 1047535017.5880210557328602392076
y[1] (numeric) = 1047535017.5880210557062761262253
absolute error = 2.65841129823e-11
relative error = 2.5377779774379925234435469603797e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.579
y[1] (analytic) = 1049632184.0906442667844310493963
y[1] (numeric) = 1049632184.0906442667577937149842
absolute error = 2.66373344121e-11
relative error = 2.5377779774519232691250957516318e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.58
y[1] (analytic) = 1051733549.1234033501784578134986
y[1] (numeric) = 1051733549.1234033501517671511073
absolute error = 2.66906623913e-11
relative error = 2.5377779774683499190832551753172e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.581
y[1] (analytic) = 1053839121.091761238771691362432
y[1] (numeric) = 1053839121.0917612387449472652987
absolute error = 2.67440971333e-11
relative error = 2.5377779774956089802036163311203e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.582
y[1] (analytic) = 1055948908.4180086134253515369142
y[1] (numeric) = 1055948908.4180086133985538980625
absolute error = 2.67976388517e-11
relative error = 2.5377779775204682028377798600231e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.583
y[1] (analytic) = 1058062919.5412975921790803547481
y[1] (numeric) = 1058062919.5412975921522290669874
absolute error = 2.68512877607e-11
relative error = 2.5377779775460658509942718305323e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.584
y[1] (analytic) = 1060181162.9176754868706663737138
y[1] (numeric) = 1060181162.917675486843761329639
absolute error = 2.69050440748e-11
relative error = 2.5377779775633698336453553615358e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.585
y[1] (analytic) = 1062303647.0201186273365667739756
y[1] (numeric) = 1062303647.0201186273096078659663
absolute error = 2.69589080093e-11
relative error = 2.5377779775982858793722601081939e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.586
y[1] (analytic) = 1064430380.3385662533285240071895
y[1] (numeric) = 1064430380.3385662533015111274102
absolute error = 2.70128797793e-11
relative error = 2.5377779776172811023474154115804e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.587
y[1] (analytic) = 1066561371.3799544742818447239696
y[1] (numeric) = 1066561371.3799544742547777643687
absolute error = 2.70669596009e-11
relative error = 2.5377779776404070635158940510998e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.588
y[1] (analytic) = 1068696628.6682502970711800981054
y[1] (numeric) = 1068696628.6682502970440589504151
absolute error = 2.71211476903e-11
relative error = 2.5377779776564702630748499913010e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.589
y[1] (analytic) = 1070836160.7444857218899186160251
y[1] (numeric) = 1070836160.7444857218627431717607
absolute error = 2.71754442644e-11
relative error = 2.5377779776792936561752764213120e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.59
y[1] (analytic) = 1072979976.1667919063895748945342
y[1] (numeric) = 1072979976.1667919063623450449939
absolute error = 2.72298495403e-11
relative error = 2.5377779777007871888802197172152e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.591
y[1] (analytic) = 1075128083.5104333982158311299396
y[1] (numeric) = 1075128083.5104333981885467662039
absolute error = 2.72843637357e-11
relative error = 2.5377779777282902235480430772035e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1277.9MB, alloc=4.6MB, time=62.89
x[1] = 9.592
y[1] (analytic) = 1077280491.3678424360781613683658
y[1] (numeric) = 1077280491.3678424360508223812973
absolute error = 2.73389870685e-11
relative error = 2.5377779777472063832630545728842e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.593
y[1] (analytic) = 1079437208.3486533194902429214975
y[1] (numeric) = 1079437208.3486533194628492017401
absolute error = 2.73937197574e-11
relative error = 2.5377779777767261140389636350659e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.594
y[1] (analytic) = 1081598243.0797368473186339352182
y[1] (numeric) = 1081598243.079736847291185373197
absolute error = 2.74485620212e-11
relative error = 2.5377779778046898924698011573820e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.595
y[1] (analytic) = 1083763604.2052348252774713517753
y[1] (numeric) = 1083763604.2052348252499678376961
absolute error = 2.75035140792e-11
relative error = 2.5377779778247282606919205313447e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.596
y[1] (analytic) = 1085933300.3865946425072192902723
y[1] (numeric) = 1085933300.386594642479660714121
absolute error = 2.75585761513e-11
relative error = 2.5377779778453323329270682376069e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.597
y[1] (analytic) = 1088107340.3026039173757742065838
y[1] (numeric) = 1088107340.302603917348160458126
absolute error = 2.76137484578e-11
relative error = 2.5377779778712442491805915604005e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.598
y[1] (analytic) = 1090285732.6494252126405100833084
y[1] (numeric) = 1090285732.6494252126128410520892
absolute error = 2.76690312192e-11
relative error = 2.5377779778850696700464433243284e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.599
y[1] (analytic) = 1092468486.1406308201101243442284
y[1] (numeric) = 1092468486.1406308200823999195715
absolute error = 2.77244246569e-11
relative error = 2.5377779779114930018300717519403e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.6
y[1] (analytic) = 1094655609.507237614945423187037
y[1] (numeric) = 1094655609.5072376149176432580446
absolute error = 2.77799289924e-11
relative error = 2.5377779779436945736298891007897e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.601
y[1] (analytic) = 1096847111.4977419797384635839487
y[1] (numeric) = 1096847111.4977419797106280395012
absolute error = 2.78355444475e-11
relative error = 2.5377779779618176567477961586402e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.602
y[1] (analytic) = 1099043000.8781547985097483133266
y[1] (numeric) = 1099043000.8781547984818570420818
absolute error = 2.78912712448e-11
relative error = 2.5377779779785122975950923131242e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.603
y[1] (analytic) = 1101243286.4320365207634500577636
y[1] (numeric) = 1101243286.4320365207355029481563
absolute error = 2.79471096073e-11
relative error = 2.5377779780022079806930353151848e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.604
y[1] (analytic) = 1103447976.9605322957409208362672
y[1] (numeric) = 1103447976.9605322957129177765089
absolute error = 2.80030597583e-11
relative error = 2.5377779780280119818571324245542e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.605
y[1] (analytic) = 1105657081.2824071770130238314312
y[1] (numeric) = 1105657081.2824071769849647095097
absolute error = 2.80591219215e-11
relative error = 2.5377779780468057123888505466017e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.606
y[1] (analytic) = 1107870608.2340813975521060278614
y[1] (numeric) = 1107870608.23408139752399073154
absolute error = 2.81152963214e-11
relative error = 2.5377779780813116257108688237613e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.607
y[1] (analytic) = 1110088566.6696657154247119967777
y[1] (numeric) = 1110088566.6696657153965404135953
absolute error = 2.81715831824e-11
relative error = 2.5377779781046200729028052178108e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.608
y[1] (analytic) = 1112310965.460996830246421644778
y[1] (numeric) = 1112310965.4609968302181936620482
absolute error = 2.82279827298e-11
relative error = 2.5377779781305063339123550133475e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.609
y[1] (analytic) = 1114537813.497672870540477793334
y[1] (numeric) = 1114537813.4976728705121932981448
absolute error = 2.82844951892e-11
relative error = 2.5377779781591104696015778285122e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.61
y[1] (analytic) = 1116769119.6870889521421530708476
y[1] (numeric) = 1116769119.6870889521138119500611
absolute error = 2.83411207865e-11
relative error = 2.5377779781769921847247449152988e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.611
y[1] (analytic) = 1119004892.9544728077910897821464
y[1] (numeric) = 1119004892.954472807762691922398
absolute error = 2.83978597484e-11
relative error = 2.5377779782018682431240593516812e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.612
y[1] (analytic) = 1121245142.2429204880541311722828
y[1] (numeric) = 1121245142.2429204880256764599811
absolute error = 2.84547123017e-11
relative error = 2.5377779782197903471119986896383e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.613
y[1] (analytic) = 1123489876.5134321337214478235648
y[1] (numeric) = 1123489876.5134321336929361448909
absolute error = 2.85116786739e-11
relative error = 2.5377779782387849819142995502314e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.614
y[1] (analytic) = 1125739104.7449478198190488180187
y[1] (numeric) = 1125739104.7449478197904800589258
absolute error = 2.85687590929e-11
relative error = 2.5377779782619044811194555363997e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.615
y[1] (analytic) = 1127992835.9343834713810537631218
y[1] (numeric) = 1127992835.9343834713524278093348
absolute error = 2.86259537870e-11
relative error = 2.5377779782871955946897638731756e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.616
y[1] (analytic) = 1130251079.0966668511253888177804
y[1] (numeric) = 1130251079.0966668510967055547956
absolute error = 2.86832629848e-11
relative error = 2.5377779782988209772657935756122e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.617
y[1] (analytic) = 1132513843.264773619176857469321
y[1] (numeric) = 1132513843.2647736191481167824052
absolute error = 2.87406869158e-11
relative error = 2.5377779783200966489315216952173e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.618
y[1] (analytic) = 1134781137.4897634649818250018564
y[1] (numeric) = 1134781137.4897634649530267760468
absolute error = 2.87982258096e-11
relative error = 2.5377779783425225052647269471014e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.619
y[1] (analytic) = 1137052970.8408163115590443629421
y[1] (numeric) = 1137052970.8408163115301884830457
absolute error = 2.88558798964e-11
relative error = 2.5377779783699917521618850075564e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.62
y[1] (analytic) = 1139329352.4052685922314404800978
y[1] (numeric) = 1139329352.4052685922025268306911
absolute error = 2.89136494067e-11
relative error = 2.5377779783922553513753586648077e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=1281.7MB, alloc=4.6MB, time=63.07
TOP MAIN SOLVE Loop
x[1] = 9.621
y[1] (analytic) = 1141610291.2886495999839600027003
y[1] (numeric) = 1141610291.2886495999549884681287
absolute error = 2.89715345716e-11
relative error = 2.5377779784112610120851536939123e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.622
y[1] (analytic) = 1143895796.614717909592883949113
y[1] (numeric) = 1143895796.6147179095638544134903
absolute error = 2.90295356227e-11
relative error = 2.5377779784322088950900363479736e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.623
y[1] (analytic) = 1146185877.5254978726722918248647
y[1] (numeric) = 1146185877.5254978726432041720728
absolute error = 2.90876527919e-11
relative error = 2.5377779784459890627426074037750e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.624
y[1] (analytic) = 1148480543.1813161857836574463955
y[1] (numeric) = 1148480543.1813161857545115600836
absolute error = 2.91458863119e-11
relative error = 2.5377779784727792089182610883491e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.625
y[1] (analytic) = 1150779802.7608385317548489575088
y[1] (numeric) = 1150779802.7608385317256447210934
absolute error = 2.92042364154e-11
relative error = 2.5377779784921535570401341048055e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.626
y[1] (analytic) = 1153083665.4611062943550983633864
y[1] (numeric) = 1153083665.4611062943258356600505
absolute error = 2.92627033359e-11
relative error = 2.5377779785127860608726919924307e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.627
y[1] (analytic) = 1155392140.4975733464727993309964
y[1] (numeric) = 1155392140.4975733464434780436892
absolute error = 2.93212873072e-11
relative error = 2.5377779785288043578160804589135e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.628
y[1] (analytic) = 1157705237.104142911943286016137
y[1] (numeric) = 1157705237.1041429119139060275732
absolute error = 2.93799885638e-11
relative error = 2.5377779785544050462369966867318e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.629
y[1] (analytic) = 1160022964.5332045011740402773792
y[1] (numeric) = 1160022964.5332045011446014700389
absolute error = 2.94388073403e-11
relative error = 2.5377779785718495128387240311066e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.63
y[1] (analytic) = 1162345332.0556709207150698269872
y[1] (numeric) = 1162345332.0556709206855720831151
absolute error = 2.94977438721e-11
relative error = 2.5377779785919246616472485557603e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.631
y[1] (analytic) = 1164672348.961015356922495649672
y[1] (numeric) = 1164672348.961015356892938851277
absolute error = 2.95567983950e-11
relative error = 2.5377779786192334241691705874649e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.632
y[1] (analytic) = 1167004024.5573085338636833929755
y[1] (numeric) = 1167004024.5573085338340674218305
absolute error = 2.96159711450e-11
relative error = 2.5377779786350374019407539488641e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.633
y[1] (analytic) = 1169340368.1712559456125503993538
y[1] (numeric) = 1169340368.1712559455828751369948
absolute error = 2.96752623590e-11
relative error = 2.5377779786572718684337272111961e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.634
y[1] (analytic) = 1171681389.1482351630839776108292
y[1] (numeric) = 1171681389.1482351630542429385551
absolute error = 2.97346722741e-11
relative error = 2.5377779786803561385742812643035e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.635
y[1] (analytic) = 1174027096.852333215556553733604
y[1] (numeric) = 1174027096.8523332155267595324761
absolute error = 2.97942011279e-11
relative error = 2.5377779787009000472381350645078e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.636
y[1] (analytic) = 1176377500.6663840470331778034522
y[1] (numeric) = 1176377500.6663840470033239542935
absolute error = 2.98538491587e-11
relative error = 2.5377779787346028294991680209430e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.637
y[1] (analytic) = 1178732609.9920060475893456442418
y[1] (numeric) = 1178732609.9920060475594320276371
absolute error = 2.99136166047e-11
relative error = 2.5377779787481122426831976849090e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.638
y[1] (analytic) = 1181092434.2496396598592456627776
y[1] (numeric) = 1181092434.2496396598292721590722
absolute error = 2.99735037054e-11
relative error = 2.5377779787779674902054145557879e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.639
y[1] (analytic) = 1183456982.8785850608100899744848
y[1] (numeric) = 1183456982.8785850607800564637848
absolute error = 3.00335107000e-11
relative error = 2.5377779787946243914915850344226e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.64
y[1] (analytic) = 1185826265.3370399189554080075061
y[1] (numeric) = 1185826265.3370399189253143696774
absolute error = 3.00936378287e-11
relative error = 2.5377779788126614953111714303514e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.641
y[1] (analytic) = 1188200291.102137227158331488725
y[1] (numeric) = 1188200291.1021372271281776033929
absolute error = 3.01538853321e-11
relative error = 2.5377779788397631305561023053688e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.642
y[1] (analytic) = 1190579069.6699832111762020753012
y[1] (numeric) = 1190579069.6699832111459878218503
absolute error = 3.02142534509e-11
relative error = 2.5377779788515090722435790722399e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.643
y[1] (analytic) = 1192962610.555695314098135860694
y[1] (numeric) = 1192962610.555695314067861118267
absolute error = 3.02747424270e-11
relative error = 2.5377779788838215716692263942818e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.644
y[1] (analytic) = 1195350923.2934402568274825560742
y[1] (numeric) = 1195350923.2934402567971472035722
absolute error = 3.03353525020e-11
relative error = 2.5377779789067965425400520761404e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.645
y[1] (analytic) = 1197744017.4364721747614213277138
y[1] (numeric) = 1197744017.4364721747310252437954
absolute error = 3.03960839184e-11
relative error = 2.5377779789254672824441725707317e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.646
y[1] (analytic) = 1200141902.557170830820240059581
y[1] (numeric) = 1200141902.5571708307897831226618
absolute error = 3.04569369192e-11
relative error = 2.5377779789460464442923197066750e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.647
y[1] (analytic) = 1202544588.2470799049791502092108
y[1] (numeric) = 1202544588.2470799049486322974629
absolute error = 3.05179117479e-11
relative error = 2.5377779789758332504311858938895e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.648
y[1] (analytic) = 1204952084.1169453604557954351623
y[1] (numeric) = 1204952084.1169453604252164265142
absolute error = 3.05790086481e-11
relative error = 2.5377779789899252454342766525483e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1285.6MB, alloc=4.6MB, time=63.25
x[1] = 9.649
y[1] (analytic) = 1207364399.7967538867069187972536
y[1] (numeric) = 1207364399.7967538866762785693891
absolute error = 3.06402278645e-11
relative error = 2.5377779790142839317072988096971e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.65
y[1] (analytic) = 1209781544.9357714193879605674977
y[1] (numeric) = 1209781544.935771419357258997856
absolute error = 3.07015696417e-11
relative error = 2.5377779790259553657692200044154e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.651
y[1] (analytic) = 1212203529.2025817374296665414942
y[1] (numeric) = 1212203529.2025817373989035072689
absolute error = 3.07630342253e-11
relative error = 2.5377779790442208222563868304657e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.652
y[1] (analytic) = 1214630362.2851251373860952081692
y[1] (numeric) = 1214630362.2851251373552705863081
absolute error = 3.08246218611e-11
relative error = 2.5377779790642313163779648684626e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.653
y[1] (analytic) = 1217062053.8907371852087212214606
y[1] (numeric) = 1217062053.8907371851778348886651
absolute error = 3.08863327955e-11
relative error = 2.5377779790900331244003274446216e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.654
y[1] (analytic) = 1219498613.7461875456016423220302
y[1] (numeric) = 1219498613.746187545570694154755
absolute error = 3.09481672752e-11
relative error = 2.5377779791097980350767023649018e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.655
y[1] (analytic) = 1221940051.5977188891132071816038
y[1] (numeric) = 1221940051.5977188890821970560562
absolute error = 3.10101255476e-11
relative error = 2.5377779791286358003984206331141e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.656
y[1] (analytic) = 1224386377.2110858771196925883257
y[1] (numeric) = 1224386377.2110858770886203804651
absolute error = 3.10722078606e-11
relative error = 2.5377779791520098800769792158759e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.657
y[1] (analytic) = 1226837600.3715942248569699598172
y[1] (numeric) = 1226837600.3715942248258355453547
absolute error = 3.11344144625e-11
relative error = 2.5377779791775018624864843923190e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.658
y[1] (analytic) = 1229293730.8841398426564133626888
y[1] (numeric) = 1229293730.8841398426252166170868
absolute error = 3.11967456020e-11
relative error = 2.5377779791948091826497730082387e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.659
y[1] (analytic) = 1231754778.573248055541614034327
y[1] (numeric) = 1231754778.5732480555103548327984
absolute error = 3.12592015286e-11
relative error = 2.5377779792182171734322514762851e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.66
y[1] (analytic) = 1234220753.2831129013427798461052
y[1] (numeric) = 1234220753.2831129013114580636132
absolute error = 3.13217824920e-11
relative error = 2.5377779792376593697855357178538e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.661
y[1] (analytic) = 1236691664.8776365074860122180164
y[1] (numeric) = 1236691664.8776365074546277292739
absolute error = 3.13844887425e-11
relative error = 2.5377779792512237694803822911099e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.662
y[1] (analytic) = 1239167523.2404685466149676943355
y[1] (numeric) = 1239167523.2404685465835203738044
absolute error = 3.14473205311e-11
relative error = 2.5377779792730609013005398427036e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.663
y[1] (analytic) = 1241648338.2750457712027267195657
y[1] (numeric) = 1241648338.2750457711712164414567
absolute error = 3.15102781090e-11
relative error = 2.5377779792928735821688782754676e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.664
y[1] (analytic) = 1244134119.904631627312008114858
y[1] (numeric) = 1244134119.9046316272804347531299
absolute error = 3.15733617281e-11
relative error = 2.5377779793162683747720164157854e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.665
y[1] (analytic) = 1246624878.0723559476621843485786
y[1] (numeric) = 1246624878.0723559476305477769379
absolute error = 3.16365716407e-11
relative error = 2.5377779793404513377187699201085e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.666
y[1] (analytic) = 1249120622.7412547241618699220097
y[1] (numeric) = 1249120622.7412547241301700139102
absolute error = 3.16999080995e-11
relative error = 2.5377779793542309190454722460540e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.667
y[1] (analytic) = 1251621363.8943099600661730535686
y[1] (numeric) = 1251621363.8943099600344096822106
absolute error = 3.17633713580e-11
relative error = 2.5377779793699797025698578690845e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.668
y[1] (analytic) = 1254127111.5344896019180193436858
y[1] (numeric) = 1254127111.5344896018861923820157
absolute error = 3.18269616701e-11
relative error = 2.5377779793914239511554282271344e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.669
y[1] (analytic) = 1256637875.6847875514332752388811
y[1] (numeric) = 1256637875.684787551401384559591
absolute error = 3.18906792901e-11
relative error = 2.5377779794136486864969295468209e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.67
y[1] (analytic) = 1259153666.3882637574897188888806
y[1] (numeric) = 1259153666.3882637574577643644077
absolute error = 3.19545244729e-11
relative error = 2.5377779794389867471730431676739e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.671
y[1] (analytic) = 1261674493.7080843883802264061127
y[1] (numeric) = 1261674493.708084388348207908639
absolute error = 3.20184974737e-11
relative error = 2.5377779794530878509043088927239e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.672
y[1] (analytic) = 1264200367.7275620844908625938932
y[1] (numeric) = 1264200367.7275620844587799953446
absolute error = 3.20825985486e-11
relative error = 2.5377779794724651929166887529429e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.673
y[1] (analytic) = 1266731298.5501962915648869093306
y[1] (numeric) = 1266731298.5501962915327400813766
absolute error = 3.21468279540e-11
relative error = 2.5377779794967408840843700062928e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.674
y[1] (analytic) = 1269267296.2997136747140077707544
y[1] (numeric) = 1269267296.2997136746817965848076
absolute error = 3.22111859468e-11
relative error = 2.5377779795244903530142046813524e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.675
y[1] (analytic) = 1271808371.1201086133385413085686
y[1] (numeric) = 1271808371.1201086133062656357844
absolute error = 3.22756727842e-11
relative error = 2.5377779795374463736067611214481e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.676
y[1] (analytic) = 1274354533.1756837771184542941594
y[1] (numeric) = 1274354533.175683777086114005435
absolute error = 3.23402887244e-11
relative error = 2.5377779795555163447310838796780e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.677
y[1] (analytic) = 1276905792.6510907832375952651282
y[1] (numeric) = 1276905792.6510907832051902311023
absolute error = 3.24050340259e-11
relative error = 2.5377779795815008313402329523714e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=1289.4MB, alloc=4.6MB, time=63.43
TOP MAIN SOLVE Loop
x[1] = 9.678
y[1] (analytic) = 1279462159.7513709350037427979861
y[1] (numeric) = 1279462159.7513709349712728890386
absolute error = 3.24699089475e-11
relative error = 2.5377779796011828643969687842568e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.679
y[1] (analytic) = 1282023644.7019960420274254628204
y[1] (numeric) = 1282023644.7019960419948905490716
absolute error = 3.25349137488e-11
relative error = 2.5377779796224178707586349824222e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.68
y[1] (analytic) = 1284590257.7489093221227942296392
y[1] (numeric) = 1284590257.7489093220901941809495
absolute error = 3.26000486897e-11
relative error = 2.5377779796359100157589910252917e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.681
y[1] (analytic) = 1287162009.158566385094154984421
y[1] (numeric) = 1287162009.15856638506148967039
absolute error = 3.26653140310e-11
relative error = 2.5377779796619166061740577020468e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.682
y[1] (analytic) = 1289738909.2179762985720963556426
y[1] (numeric) = 1289738909.2179762985393656456091
absolute error = 3.27307100335e-11
relative error = 2.5377779796800908558086782798162e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.683
y[1] (analytic) = 1292320968.234742736063476250553
y[1] (numeric) = 1292320968.2347427360306800135941
absolute error = 3.27962369589e-11
relative error = 2.5377779796994480503729708702508e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.684
y[1] (analytic) = 1294908196.537105207379859356002
y[1] (numeric) = 1294908196.5371052073469974609327
absolute error = 3.28618950693e-11
relative error = 2.5377779797193794516061447406896e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.685
y[1] (analytic) = 1297500604.473980371609327372548
y[1] (numeric) = 1297500604.4739803715763996879208
absolute error = 3.29276846272e-11
relative error = 2.5377779797296672781400602995802e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.686
y[1] (analytic) = 1300098202.4150034327969139241707
y[1] (numeric) = 1300098202.4150034327639203182746
absolute error = 3.29936058961e-11
relative error = 2.5377779797566502801182806346234e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.687
y[1] (analytic) = 1302701000.7505696184992469205202
y[1] (numeric) = 1302701000.7505696184661872613808
absolute error = 3.30596591394e-11
relative error = 2.5377779797783381987746866948767e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.688
y[1] (analytic) = 1305309009.8918757413793126455799
y[1] (numeric) = 1305309009.8918757413461868009586
absolute error = 3.31258446213e-11
relative error = 2.5377779797937619097635020537441e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.689
y[1] (analytic) = 1307922240.2709618440075880072126
y[1] (numeric) = 1307922240.2709618439743958446059
absolute error = 3.31921626067e-11
relative error = 2.5377779798150377800040053654762e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.69
y[1] (analytic) = 1310540702.3407529270361202076461
y[1] (numeric) = 1310540702.3407529270028615942853
absolute error = 3.32586133608e-11
relative error = 2.5377779798366344254166130966293e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.691
y[1] (analytic) = 1313164406.5751007609124665868544
y[1] (numeric) = 1313164406.575100760879141389705
absolute error = 3.33251971494e-11
relative error = 2.5377779798583133030462156127193e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.692
y[1] (analytic) = 1315793363.4688257813007415503432
y[1] (numeric) = 1315793363.4688257812673496361043
absolute error = 3.33919142389e-11
relative error = 2.5377779798849952519578102832566e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.693
y[1] (analytic) = 1318427583.5377590683773523213872
y[1] (numeric) = 1318427583.5377590683438935564913
absolute error = 3.34587648959e-11
relative error = 2.5377779798962889854697559726615e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.694
y[1] (analytic) = 1321067077.3187844101693407566359
y[1] (numeric) = 1321067077.3187844101358150072478
absolute error = 3.35257493881e-11
relative error = 2.5377779799147897041507474268814e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.695
y[1] (analytic) = 1323711855.3698804501035846345378
y[1] (numeric) = 1323711855.3698804500699917665544
absolute error = 3.35928679834e-11
relative error = 2.5377779799375790424704797157464e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.696
y[1] (analytic) = 1326361928.2701629189354486695865
y[1] (numeric) = 1326361928.2701629189017885486363
absolute error = 3.36601209502e-11
relative error = 2.5377779799590165055794375495554e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.697
y[1] (analytic) = 1329017306.6199269512258130233014
y[1] (numeric) = 1329017306.6199269511920855147439
absolute error = 3.37275085575e-11
relative error = 2.5377779799782103318857051093891e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.698
y[1] (analytic) = 1331678001.0406894865357452764788
y[1] (numeric) = 1331678001.040689486501950245404
absolute error = 3.37950310748e-11
relative error = 2.5377779799913801512535686107520e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.699
y[1] (analytic) = 1334344022.1752317555084206979369
y[1] (numeric) = 1334344022.1752317554745580091645
absolute error = 3.38626887724e-11
relative error = 2.5377779800142880315399520944157e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.7
y[1] (analytic) = 1337015380.6876418510082351940825
y[1] (numeric) = 1337015380.6876418509743047121618
absolute error = 3.39304819207e-11
relative error = 2.5377779800296071780150358413252e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.701
y[1] (analytic) = 1339692087.2633573844873955525149
y[1] (numeric) = 1339692087.2633573844533971417239
absolute error = 3.39984107910e-11
relative error = 2.5377779800468862728791695349350e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.702
y[1] (analytic) = 1342374152.609208227750612502901
y[1] (numeric) = 1342374152.6092082277165460272459
absolute error = 3.40664756551e-11
relative error = 2.5377779800724029244683804082409e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.703
y[1] (analytic) = 1345061587.4534593402888637108838
y[1] (numeric) = 1345061587.4534593402547290340989
absolute error = 3.41346767849e-11
relative error = 2.5377779800793767455598304203317e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.704
y[1] (analytic) = 1347754402.5458536823535360971806
y[1] (numeric) = 1347754402.5458536823193330827269
absolute error = 3.42030144537e-11
relative error = 2.5377779801046752912509827768006e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.705
y[1] (analytic) = 1350452608.657655213942599835654
y[1] (numeric) = 1350452608.6576552139083283467195
absolute error = 3.42714889345e-11
relative error = 2.5377779801222147586417975060730e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1293.2MB, alloc=4.6MB, time=63.62
x[1] = 9.706
y[1] (analytic) = 1353156216.5816919798708100323886
y[1] (numeric) = 1353156216.5816919798364699318873
absolute error = 3.43401005013e-11
relative error = 2.5377779801395782837390176736446e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.707
y[1] (analytic) = 1355865237.1323992810962764240228
y[1] (numeric) = 1355865237.1323992810618675745943
absolute error = 3.44088494285e-11
relative error = 2.5377779801533476588763196613535e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.708
y[1] (analytic) = 1358579681.1458629324760864591784
y[1] (numeric) = 1358579681.1458629324416087231872
absolute error = 3.44777359912e-11
relative error = 2.5377779801712140149687599582292e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.709
y[1] (analytic) = 1361299559.4798626071240128431566
y[1] (numeric) = 1361299559.4798626070894660826916
absolute error = 3.45467604650e-11
relative error = 2.5377779801970943282445527327165e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.71
y[1] (analytic) = 1364024883.0139152675436830345226
y[1] (numeric) = 1364024883.0139152675090671113969
absolute error = 3.46159231257e-11
relative error = 2.5377779802090942797257774835217e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.711
y[1] (analytic) = 1366755662.6493186837109352841678
y[1] (numeric) = 1366755662.6493186836762500599175
absolute error = 3.46852242503e-11
relative error = 2.5377779802328511168257440662836e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.712
y[1] (analytic) = 1369491909.3091950382794336042922
y[1] (numeric) = 1369491909.3091950382446789401765
absolute error = 3.47546641157e-11
relative error = 2.5377779802460531661696132693418e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.713
y[1] (analytic) = 1372233633.9385346190839625479142
y[1] (numeric) = 1372233633.9385346190491383049142
absolute error = 3.48242430000e-11
relative error = 2.5377779802735730716230552237101e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.714
y[1] (analytic) = 1374980847.5042395991161718703371
y[1] (numeric) = 1374980847.5042395990812779091559
absolute error = 3.48939611812e-11
relative error = 2.5377779802923697369666176641669e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.715
y[1] (analytic) = 1377733560.9951679041478910339294
y[1] (numeric) = 1377733560.9951679041129272149911
absolute error = 3.49638189383e-11
relative error = 2.5377779803117264604779688333303e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.716
y[1] (analytic) = 1380491785.4221771681774841079633
y[1] (numeric) = 1380491785.4221771681424502914126
absolute error = 3.50338165507e-11
relative error = 2.5377779803293853565389852152927e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.717
y[1] (analytic) = 1383255531.8181687768750669075408
y[1] (numeric) = 1383255531.8181687768399629532423
absolute error = 3.51039542985e-11
relative error = 2.5377779803532694450754290612929e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.718
y[1] (analytic) = 1386024811.238131999202760211199
y[1] (numeric) = 1386024811.2381319991675859787369
absolute error = 3.51742324621e-11
relative error = 2.5377779803724407181634265333496e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.719
y[1] (analytic) = 1388799634.7591882073865055970507
y[1] (numeric) = 1388799634.7591882073512609457281
absolute error = 3.52446513226e-11
relative error = 2.5377779803860092926304724557202e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.72
y[1] (analytic) = 1391580013.480635185416323843683
y[1] (numeric) = 1391580013.4806351853810086325212
absolute error = 3.53152111618e-11
relative error = 2.5377779804029526614389243817112e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.721
y[1] (analytic) = 1394365958.5239915262522499559252
y[1] (numeric) = 1394365958.5239915262168640436634
absolute error = 3.53859122618e-11
relative error = 2.5377779804132494769023247426929e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.722
y[1] (analytic) = 1397157481.033041117913533698424
y[1] (numeric) = 1397157481.0330411178780769435183
absolute error = 3.54567549057e-11
relative error = 2.5377779804380899124355586195355e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.723
y[1] (analytic) = 1399954592.17387771862905005314
y[1] (numeric) = 1399954592.1738777185935223137635
absolute error = 3.55277393765e-11
relative error = 2.5377779804509094780498122581050e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.724
y[1] (analytic) = 1402757303.1349496212272202618448
y[1] (numeric) = 1402757303.1349496211916213958864
absolute error = 3.55988659584e-11
relative error = 2.5377779804704590604271703947585e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.725
y[1] (analytic) = 1405565625.1271044069441010728513
y[1] (numeric) = 1405565625.1271044069084309379155
absolute error = 3.56701349358e-11
relative error = 2.5377779804891267420076035524561e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.726
y[1] (analytic) = 1408379569.383633788828657484009
y[1] (numeric) = 1408379569.3836337887929159374153
absolute error = 3.57415465937e-11
relative error = 2.5377779805015210485024173366899e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.727
y[1] (analytic) = 1411199147.1603185449245926628454
y[1] (numeric) = 1411199147.1603185448887795616274
absolute error = 3.58131012180e-11
relative error = 2.5377779805256267822988276358771e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.728
y[1] (analytic) = 1414024369.7354735414084678310829
y[1] (numeric) = 1414024369.7354735413725830319883
absolute error = 3.58847990946e-11
relative error = 2.5377779805388427795509000491637e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.729
y[1] (analytic) = 1416855248.4099928458642047260447
y[1] (numeric) = 1416855248.4099928458282480855342
absolute error = 3.59566405105e-11
relative error = 2.5377779805559425669575207734050e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.73
y[1] (analytic) = 1419691794.5073949308744237971068
y[1] (numeric) = 1419691794.5073949308383951713538
absolute error = 3.60286257530e-11
relative error = 2.5377779805722708269545001158402e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.731
y[1] (analytic) = 1422534019.3738679681094325628234
y[1] (numeric) = 1422534019.3738679680733318077132
absolute error = 3.61007551102e-11
relative error = 2.5377779805990046434739014581191e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.732
y[1] (analytic) = 1425381934.3783152130950405450691
y[1] (numeric) = 1425381934.3783152130588675161988
absolute error = 3.61730288703e-11
relative error = 2.5377779806138050732977696491648e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.733
y[1] (analytic) = 1428235550.912400480840739911973
y[1] (numeric) = 1428235550.9124004808044944646503
absolute error = 3.62454473227e-11
relative error = 2.5377779806380888293942590980384e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.734
y[1] (analytic) = 1431094880.3905937125101544029983
y[1] (numeric) = 1431094880.3905937124738363922415
absolute error = 3.63180107568e-11
relative error = 2.5377779806526593659606657141529e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=1297.0MB, alloc=4.6MB, time=63.80
TOP MAIN SOLVE Loop
x[1] = 9.735
y[1] (analytic) = 1433959934.2502166333160232787222
y[1] (numeric) = 1433959934.2502166332796325592592
absolute error = 3.63907194630e-11
relative error = 2.5377779806677679026238226162743e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.736
y[1] (analytic) = 1436830723.9514885018223519361261
y[1] (numeric) = 1436830723.9514885017858883623939
absolute error = 3.64635737322e-11
relative error = 2.5377779806879403922639243366948e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.737
y[1] (analytic) = 1439707260.9775719508367264589992
y[1] (numeric) = 1439707260.9775719508001898851435
absolute error = 3.65365738557e-11
relative error = 2.5377779807050076476044979558170e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.738
y[1] (analytic) = 1442589556.8346189200761557338351
y[1] (numeric) = 1442589556.8346189200395460137095
absolute error = 3.66097201256e-11
relative error = 2.5377779807258790956708684425606e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.739
y[1] (analytic) = 1445477623.0518166807901718558321
y[1] (numeric) = 1445477623.0518166807534888429977
absolute error = 3.66830128344e-11
relative error = 2.5377779807446391499451307207936e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.74
y[1] (analytic) = 1448371471.1814339525252873787664
y[1] (numeric) = 1448371471.1814339524885309264912
absolute error = 3.67564522752e-11
relative error = 2.5377779807564028650490611158188e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.741
y[1] (analytic) = 1451271112.7988671122152765280558
y[1] (numeric) = 1451271112.7988671121784464893138
absolute error = 3.68300387420e-11
relative error = 2.5377779807778966064422332358108e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.742
y[1] (analytic) = 1454176559.5026864957821167997495
y[1] (numeric) = 1454176559.5026864957452130272205
absolute error = 3.69037725290e-11
relative error = 2.5377779807990243361907488732964e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.743
y[1] (analytic) = 1457087822.9146827924327974109488
y[1] (numeric) = 1457087822.9146827923958197570177
absolute error = 3.69776539311e-11
relative error = 2.5377779808173691193827729569260e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.744
y[1] (analytic) = 1460004914.6799135318375718507484
y[1] (numeric) = 1460004914.6799135318005201675046
absolute error = 3.70516832438e-11
relative error = 2.5377779808311867161520020231298e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.745
y[1] (analytic) = 1462927846.4667496643756033066942
y[1] (numeric) = 1462927846.4667496643384774459308
absolute error = 3.71258607634e-11
relative error = 2.5377779808529893682651734675522e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.746
y[1] (analytic) = 1465856629.9669222346343240114432
y[1] (numeric) = 1465856629.9669222345971238246568
absolute error = 3.72001867864e-11
relative error = 2.5377779808683909453009354697318e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.747
y[1] (analytic) = 1468791276.8955691483492025692982
y[1] (numeric) = 1468791276.895569148311927907688
absolute error = 3.72746616102e-11
relative error = 2.5377779808839525916141128410560e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.748
y[1] (analytic) = 1471731798.9912820329709870840385
y[1] (numeric) = 1471731798.9912820329336377985058
absolute error = 3.73492855327e-11
relative error = 2.5377779808997143675662597268204e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.749
y[1] (analytic) = 1474678208.0161531920478664195026
y[1] (numeric) = 1474678208.0161531920104423606502
absolute error = 3.74240588524e-11
relative error = 2.5377779809159604702719102018630e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.75
y[1] (analytic) = 1477630515.755822653610367184173
y[1] (numeric) = 1477630515.7558226535728682023046
absolute error = 3.74989818684e-11
relative error = 2.5377779809331359891259130776754e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.751
y[1] (analytic) = 1480588734.0195253127471800420815
y[1] (numeric) = 1480588734.0195253127096059872011
absolute error = 3.75740548804e-11
relative error = 2.5377779809517644831944328997671e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.752
y[1] (analytic) = 1483552874.6401381685604857161984
y[1] (numeric) = 1483552874.6401381685228364380098
absolute error = 3.76492781886e-11
relative error = 2.5377779809656258001705284149456e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.753
y[1] (analytic) = 1486522949.4742276556897285685912
y[1] (numeric) = 1486522949.4742276556520039164971
absolute error = 3.77246520941e-11
relative error = 2.5377779809886510520428833660387e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.754
y[1] (analytic) = 1489498970.4020970705931639155554
y[1] (numeric) = 1489498970.4020970705553637386573
absolute error = 3.78001768981e-11
relative error = 2.5377779810009314125431664365130e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.755
y[1] (analytic) = 1492480949.327834092776884267144
y[1] (numeric) = 1492480949.3278340927390084142411
absolute error = 3.78758529029e-11
relative error = 2.5377779810159773489507195320042e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.756
y[1] (analytic) = 1495468898.1793584011614094705594
y[1] (numeric) = 1495468898.1793584011234577901482
absolute error = 3.79516804112e-11
relative error = 2.5377779810334966918310341921925e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.757
y[1] (analytic) = 1498462828.9084693857763062872585
y[1] (numeric) = 1498462828.9084693857382786275322
absolute error = 3.80276597263e-11
relative error = 2.5377779810527981921459647789772e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.758
y[1] (analytic) = 1501462753.4908939549736842458644
y[1] (numeric) = 1501462753.4908939549355804547124
absolute error = 3.81037911520e-11
relative error = 2.5377779810660545436982630965063e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.759
y[1] (analytic) = 1504468683.9263344383517966886119
y[1] (numeric) = 1504468683.9263344383136166136189
absolute error = 3.81800749930e-11
relative error = 2.5377779810848803552198506186335e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.76
y[1] (analytic) = 1507480632.2385165855803587695996
y[1] (numeric) = 1507480632.2385165855421022580453
absolute error = 3.82565115543e-11
relative error = 2.5377779811002559275248789444563e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.761
y[1] (analytic) = 1510498610.4752376613195777701216
y[1] (numeric) = 1510498610.4752376612812446689798
absolute error = 3.83331011418e-11
relative error = 2.5377779811223741061920496217706e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.762
y[1] (analytic) = 1513522630.708414636425275471324
y[1] (numeric) = 1513522630.7084146363868656272623
absolute error = 3.84098440617e-11
relative error = 2.5377779811407252854634380359923e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.763
y[1] (analytic) = 1516552705.0341324756328674689332
y[1] (numeric) = 1516552705.0341324755943807283122
absolute error = 3.84867406210e-11
relative error = 2.5377779811571925255947662744768e-18 %
Correct digits = 19
h = 0.001
memory used=1300.8MB, alloc=4.6MB, time=63.99
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.764
y[1] (analytic) = 1519588845.5726925219133502303548
y[1] (numeric) = 1519588845.5726925218747864392275
absolute error = 3.85637911273e-11
relative error = 2.5377779811726859102509691468706e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.765
y[1] (analytic) = 1522631064.4686609776948333826048
y[1] (numeric) = 1522631064.4686609776561923867159
absolute error = 3.86409958889e-11
relative error = 2.5377779811936389668727845398978e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.766
y[1] (analytic) = 1525679373.8909174831435421818435
y[1] (numeric) = 1525679373.890917483104823826629
absolute error = 3.87183552145e-11
relative error = 2.5377779812122092760320218568431e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.767
y[1] (analytic) = 1528733786.0327037916986033532939
y[1] (numeric) = 1528733786.0327037916598074838804
absolute error = 3.87958694135e-11
relative error = 2.5377779812259641114026402098026e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.768
y[1] (analytic) = 1531794313.1116725430553165055872
y[1] (numeric) = 1531794313.1116725430164429667911
absolute error = 3.88735387961e-11
relative error = 2.5377779812442741972268078177203e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.769
y[1] (analytic) = 1534860967.3699361337920031176529
y[1] (numeric) = 1534860967.36993613375305175398
absolute error = 3.89513636729e-11
relative error = 2.5377779812620540927401414438500e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.77
y[1] (analytic) = 1537933761.07411568583591567071
y[1] (numeric) = 1537933761.0741156857968863263548
absolute error = 3.90293443552e-11
relative error = 2.5377779812793321236012561531788e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.771
y[1] (analytic) = 1541012706.5153901129640808542866
y[1] (numeric) = 1541012706.5153901129249733731318
absolute error = 3.91074811548e-11
relative error = 2.5377779812881402157278178508116e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.772
y[1] (analytic) = 1544097816.009545285535342915064
y[1] (numeric) = 1544097816.0095452854961571406795
absolute error = 3.91857743845e-11
relative error = 2.5377779813048943426153635912583e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.773
y[1] (analytic) = 1547189101.8970232936502661422698
y[1] (numeric) = 1547189101.8970232936110019179124
absolute error = 3.92642243574e-11
relative error = 2.5377779813248271044011704101974e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.774
y[1] (analytic) = 1550286576.5429718089359491949158
y[1] (numeric) = 1550286576.5429718088966063635286
absolute error = 3.93428313872e-11
relative error = 2.5377779813414691522125396837180e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.775
y[1] (analytic) = 1553390252.3372935451531984759532
y[1] (numeric) = 1553390252.3372935451137768801648
absolute error = 3.94215957884e-11
relative error = 2.5377779813594606410955769806292e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.776
y[1] (analytic) = 1556500141.6946958178239030479857
y[1] (numeric) = 1556500141.6946958177844025301098
absolute error = 3.95005178759e-11
relative error = 2.5377779813686610194644397664250e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.777
y[1] (analytic) = 1559616257.0547402030768496661206
y[1] (numeric) = 1559616257.054740203037270068155
absolute error = 3.95795979656e-11
relative error = 2.5377779813826867014602773012254e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.778
y[1] (analytic) = 1562738610.8818922959106133774282
y[1] (numeric) = 1562738610.8818922958709545410544
absolute error = 3.96588363738e-11
relative error = 2.5377779814001991986820984965690e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.779
y[1] (analytic) = 1565867215.6655715680725568049183
y[1] (numeric) = 1565867215.6655715680328185715009
absolute error = 3.97382334174e-11
relative error = 2.5377779814177456480483136650125e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.78
y[1] (analytic) = 1569002083.9202013257533696985065
y[1] (numeric) = 1569002083.9202013257135519090925
absolute error = 3.98177894140e-11
relative error = 2.5377779814360726613610337070970e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.781
y[1] (analytic) = 1572143228.1852587672969795977397
y[1] (numeric) = 1572143228.1852587672570820930579
absolute error = 3.98975046818e-11
relative error = 2.5377779814536429625370500613303e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.782
y[1] (analytic) = 1575290661.0253251411260645126666
y[1] (numeric) = 1575290661.0253251410860871331269
absolute error = 3.99773795397e-11
relative error = 2.5377779814729254047628604788329e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.783
y[1] (analytic) = 1578444395.0301360040837993917812
y[1] (numeric) = 1578444395.0301360040437419774741
absolute error = 4.00574143071e-11
relative error = 2.5377779814876035036927058830843e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.784
y[1] (analytic) = 1581604442.8146315803928698110368
y[1] (numeric) = 1581604442.8146315803527322017326
absolute error = 4.01376093042e-11
relative error = 2.5377779815015503808525373911100e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.785
y[1] (analytic) = 1584770817.0190072214331887871297
y[1] (numeric) = 1584770817.0190072213929708222779
absolute error = 4.02179648518e-11
relative error = 2.5377779815160262961587927873420e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.786
y[1] (analytic) = 1587943530.3087639665401558932005
y[1] (numeric) = 1587943530.3087639664998574119292
absolute error = 4.02984812713e-11
relative error = 2.5377779815296237922419337412217e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.787
y[1] (analytic) = 1591122595.3747592050257019374028
y[1] (numeric) = 1591122595.374759204985322778518
absolute error = 4.03791588848e-11
relative error = 2.5377779815444983616140862552793e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.788
y[1] (analytic) = 1594308024.9332574396247673560688
y[1] (numeric) = 1594308024.9332574395843073580537
absolute error = 4.04599980151e-11
relative error = 2.5377779815662521049868149643327e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.789
y[1] (analytic) = 1597499831.725981151570268175068
y[1] (numeric) = 1597499831.7259811515297271760827
absolute error = 4.05409989853e-11
relative error = 2.5377779815787792834538127724788e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.79
y[1] (analytic) = 1600698028.5201617675000099070458
y[1] (numeric) = 1600698028.5201617674593877449261
absolute error = 4.06221621197e-11
relative error = 2.5377779816006276229185245892429e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.791
y[1] (analytic) = 1603902628.1085907283994170801498
y[1] (numeric) = 1603902628.108590728358713592407
absolute error = 4.07034877428e-11
relative error = 2.5377779816222240396875515307549e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1304.6MB, alloc=4.6MB, time=64.17
x[1] = 9.792
y[1] (analytic) = 1607113643.3096706607843542372574
y[1] (numeric) = 1607113643.3096706607435692610776
absolute error = 4.07849761798e-11
relative error = 2.5377779816371857005649400180270e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.793
y[1] (analytic) = 1610331086.9674666503287232052146
y[1] (numeric) = 1610331086.9674666502878565774579
absolute error = 4.08666277567e-11
relative error = 2.5377779816484176328051195570962e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.794
y[1] (analytic) = 1613554971.9517576181419312128414
y[1] (numeric) = 1613554971.9517576181009827700411
absolute error = 4.09484428003e-11
relative error = 2.5377779816679393892150727557034e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.795
y[1] (analytic) = 1616785311.158087799901735036076
y[1] (numeric) = 1616785311.1580877998607046144383
absolute error = 4.10304216377e-11
relative error = 2.5377779816857875091346795537722e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.796
y[1] (analytic) = 1620022117.507818328048377770276
y[1] (numeric) = 1620022117.5078183280072652056792
absolute error = 4.11125645968e-11
relative error = 2.5377779817010176215851024676461e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.797
y[1] (analytic) = 1623265403.9481789172463470749975
y[1] (numeric) = 1623265403.9481789172051522029913
absolute error = 4.11948720062e-11
relative error = 2.5377779817153735155935539611481e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.798
y[1] (analytic) = 1626515183.4523196533204968072007
y[1] (numeric) = 1626515183.4523196532792194630055
absolute error = 4.12773441952e-11
relative error = 2.5377779817331795193565421274572e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.799
y[1] (analytic) = 1629771469.019362885873687856419
y[1] (numeric) = 1629771469.0193628858323278749254
absolute error = 4.13599814936e-11
relative error = 2.5377779817489621881254303276433e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.8
y[1] (analytic) = 1633034273.6744552247935187216466
y[1] (numeric) = 1633034273.6744552247520759374147
absolute error = 4.14427842319e-11
relative error = 2.5377779817597143479157155481155e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.801
y[1] (analytic) = 1636303610.4688196408561319261946
y[1] (numeric) = 1636303610.4688196408146061734531
absolute error = 4.15257527415e-11
relative error = 2.5377779817770125423182936495763e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.802
y[1] (analytic) = 1639579492.4798076706354987552088
y[1] (numeric) = 1639579492.4798076705938898678547
absolute error = 4.16088873541e-11
relative error = 2.5377779817901959083342748495141e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.803
y[1] (analytic) = 1642861932.8109517259270020225954
y[1] (numeric) = 1642861932.810951725885309834193
absolute error = 4.16921884024e-11
relative error = 2.5377779818091156339681706946229e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.804
y[1] (analytic) = 1646150944.5920175078945546314305
y[1] (numeric) = 1646150944.592017507852778975211
absolute error = 4.17756562195e-11
relative error = 2.5377779818274010014532845340605e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.805
y[1] (analytic) = 1649446540.9790565261509105862145
y[1] (numeric) = 1649446540.9790565261090512950753
absolute error = 4.18592911392e-11
relative error = 2.5377779818407281662834298547720e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.806
y[1] (analytic) = 1652748735.1544587229812448482396
y[1] (numeric) = 1652748735.1544587229393017547434
absolute error = 4.19430934962e-11
relative error = 2.5377779818588202118407102426107e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.807
y[1] (analytic) = 1656057540.3270052029204989985562
y[1] (numeric) = 1656057540.3270052028784719349305
absolute error = 4.20270636257e-11
relative error = 2.5377779818810724391060744641723e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.808
y[1] (analytic) = 1659372969.7319210678954110882266
y[1] (numeric) = 1659372969.7319210678532998863633
absolute error = 4.21112018633e-11
relative error = 2.5377779818905479768684895957912e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.809
y[1] (analytic) = 1662695036.6309283581425703144336
y[1] (numeric) = 1662695036.6309283581003748058877
absolute error = 4.21955085459e-11
relative error = 2.5377779819081891482499745125226e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.81
y[1] (analytic) = 1666023754.3122990991142602652472
y[1] (numeric) = 1666023754.3122990990719802812367
absolute error = 4.22799840105e-11
relative error = 2.5377779819203311446268101099348e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.811
y[1] (analytic) = 1669359136.0909084545842784271566
y[1] (numeric) = 1669359136.0909084545419137985614
absolute error = 4.23646285952e-11
relative error = 2.5377779819388693396074171891484e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.812
y[1] (analytic) = 1672701195.3082879861663444495114
y[1] (numeric) = 1672701195.3082879861238950068729
absolute error = 4.24494426385e-11
relative error = 2.5377779819590752050634764383111e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.813
y[1] (analytic) = 1676049945.3326790194581353105208
y[1] (numeric) = 1676049945.3326790194156008840414
absolute error = 4.25344264794e-11
relative error = 2.5377779819656475149714127338961e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.814
y[1] (analytic) = 1679405399.5590861170244120321065
y[1] (numeric) = 1679405399.5590861169817924516483
absolute error = 4.26195804582e-11
relative error = 2.5377779819803732583954523937896e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.815
y[1] (analytic) = 1682767571.4093306584331299474104
y[1] (numeric) = 1682767571.409330658390425042495
absolute error = 4.27049049154e-11
relative error = 2.5377779819963084299729182699510e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.816
y[1] (analytic) = 1686136474.3321045275588527368422
y[1] (numeric) = 1686136474.3321045275160623366499
absolute error = 4.27904001923e-11
relative error = 2.5377779820135676883733228728697e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.817
y[1] (analytic) = 1689512121.803023907368219517903
y[1] (numeric) = 1689512121.8030239073253434512722
absolute error = 4.28760666308e-11
relative error = 2.5377779820273355759129080672298e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.818
y[1] (analytic) = 1692894527.324683182402644202382
y[1] (numeric) = 1692894527.3246831823596822978083
absolute error = 4.29619045737e-11
relative error = 2.5377779820455560894834698632726e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.819
y[1] (analytic) = 1696283704.4267089491738571235912
y[1] (numeric) = 1696283704.4267089491308092092271
absolute error = 4.30479143641e-11
relative error = 2.5377779820533531601040848240403e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.82
y[1] (analytic) = 1699679666.6658141346883305878217
y[1] (numeric) = 1699679666.6658141346451964914753
absolute error = 4.31340963464e-11
relative error = 2.5377779820720121204507164553112e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=1308.4MB, alloc=4.6MB, time=64.36
TOP MAIN SOLVE Loop
x[1] = 9.821
y[1] (analytic) = 1703082427.625852223317062519878
y[1] (numeric) = 1703082427.6258522232738420690128
absolute error = 4.32204508652e-11
relative error = 2.5377779820939494713143518605718e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.822
y[1] (analytic) = 1706492000.9178715922276257541308
y[1] (numeric) = 1706492000.9178715921843187758651
absolute error = 4.33069782657e-11
relative error = 2.5377779821063595275241985547858e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.823
y[1] (analytic) = 1709908400.1801699555958247717314
y[1] (numeric) = 1709908400.1801699555524310928372
absolute error = 4.33936788942e-11
relative error = 2.5377779821204274180121583124652e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.824
y[1] (analytic) = 1713331639.078348917814736803206
y[1] (numeric) = 1713331639.0783489177712562501085
absolute error = 4.34805530975e-11
relative error = 2.5377779821359896345470911746806e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.825
y[1] (analytic) = 1716761731.3053686359193502053332
y[1] (numeric) = 1716761731.3053686358757826041101
absolute error = 4.35676012231e-11
relative error = 2.5377779821532159953090842526881e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.826
y[1] (analytic) = 1720198690.5816025914454498837414
y[1] (numeric) = 1720198690.5816025914017950601222
absolute error = 4.36548236192e-11
relative error = 2.5377779821725255174187200682820e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.827
y[1] (analytic) = 1723642530.6548924719418372697959
y[1] (numeric) = 1723642530.6548924718980950491614
absolute error = 4.37422206345e-11
relative error = 2.5377779821828997825951027684050e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.828
y[1] (analytic) = 1727093265.3006031623554109738328
y[1] (numeric) = 1727093265.3006031623115811812139
absolute error = 4.38297926189e-11
relative error = 2.5377779822024469032910105133828e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.829
y[1] (analytic) = 1730550908.3216778465090737283814
y[1] (numeric) = 1730550908.321677846465156188459
absolute error = 4.39175399224e-11
relative error = 2.5377779822144666106309702224855e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.83
y[1] (analytic) = 1734015473.548693218892871606475
y[1] (numeric) = 1734015473.5486932188488661435788
absolute error = 4.40054628962e-11
relative error = 2.5377779822311530377526982517263e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.831
y[1] (analytic) = 1737486974.8399148069892127532192
y[1] (numeric) = 1737486974.8399148069451191913273
absolute error = 4.40935618919e-11
relative error = 2.5377779822471824159180050302983e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.832
y[1] (analytic) = 1740965426.0813524043534550052586
y[1] (numeric) = 1740965426.0813524043092731679967
absolute error = 4.41818372619e-11
relative error = 2.5377779822627825461639368305723e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.833
y[1] (analytic) = 1744450841.1868156146715947944013
y[1] (numeric) = 1744450841.186815614627324505042
absolute error = 4.42702893593e-11
relative error = 2.5377779822778642842482490928992e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.834
y[1] (analytic) = 1747943234.0979695070172336402166
y[1] (numeric) = 1747943234.0979695069728747216787
absolute error = 4.43589185379e-11
relative error = 2.5377779822919438939603849709118e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.835
y[1] (analytic) = 1751442618.7843903825304433336783
y[1] (numeric) = 1751442618.784390382485995608526
absolute error = 4.44477251523e-11
relative error = 2.5377779823097757677600935996640e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.836
y[1] (analytic) = 1754949009.24362165274159660167
y[1] (numeric) = 1754949009.2436216526970598921124
absolute error = 4.45367095576e-11
relative error = 2.5377779823241247994886684422236e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.837
y[1] (analytic) = 1758462419.5012298297636766221802
y[1] (numeric) = 1758462419.5012298297190507500703
absolute error = 4.46258721099e-11
relative error = 2.5377779823442390974018252821553e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.838
y[1] (analytic) = 1761982863.6108606285770262340775
y[1] (numeric) = 1761982863.6108606285323110209119
absolute error = 4.47152131656e-11
relative error = 2.5377779823558768326733446138056e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.839
y[1] (analytic) = 1765510355.6542951816309460552675
y[1] (numeric) = 1765510355.6542951815861413221853
absolute error = 4.48047330822e-11
relative error = 2.5377779823667724079071271331419e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.84
y[1] (analytic) = 1769044909.741506365986999990575
y[1] (numeric) = 1769044909.7415063659421055583571
absolute error = 4.48944322179e-11
relative error = 2.5377779823837256076130641321369e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.841
y[1] (analytic) = 1772586540.0107152432293367776774
y[1] (numeric) = 1772586540.0107152431843524667461
absolute error = 4.49843109313e-11
relative error = 2.5377779823956054025190643391869e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.842
y[1] (analytic) = 1776135260.6284476123677872876288
y[1] (numeric) = 1776135260.6284476123227129180468
absolute error = 4.50743695820e-11
relative error = 2.5377779824072292141965788731923e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.843
y[1] (analytic) = 1779691085.7895906759599492677672
y[1] (numeric) = 1779691085.789590675914784659237
absolute error = 4.51646085302e-11
relative error = 2.5377779824166474191375539295403e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.844
y[1] (analytic) = 1783254029.7174498196789240908992
y[1] (numeric) = 1783254029.7174498196336690627622
absolute error = 4.52550281370e-11
relative error = 2.5377779824319531337613209086656e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.845
y[1] (analytic) = 1786824106.6638055055538238574148
y[1] (numeric) = 1786824106.6638055055084782286508
absolute error = 4.53456287640e-11
relative error = 2.5377779824487150742398074419313e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.846
y[1] (analytic) = 1790401330.9089702791106218882188
y[1] (numeric) = 1790401330.9089702790651854774452
absolute error = 4.54364107736e-11
relative error = 2.5377779824667775682206303395021e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.847
y[1] (analytic) = 1793985716.7618458906413752478904
y[1] (numeric) = 1793985716.7618458905958478733616
absolute error = 4.55273745288e-11
relative error = 2.5377779824789888531577485248287e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.848
y[1] (analytic) = 1797577278.5599805308303044511223
y[1] (numeric) = 1797577278.5599805307846859307287
absolute error = 4.56185203936e-11
relative error = 2.5377779824934423421399428041166e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.849
y[1] (analytic) = 1801176030.6696261809656729330724
y[1] (numeric) = 1801176030.6696261809199630843399
memory used=1312.3MB, alloc=4.6MB, time=64.54
absolute error = 4.57098487325e-11
relative error = 2.5377779825054841649408815981898e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.85
y[1] (analytic) = 1804781987.4857960779668672076133
y[1] (numeric) = 1804781987.4857960779210658477024
absolute error = 4.58013599109e-11
relative error = 2.5377779825199227286731295665164e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.851
y[1] (analytic) = 1808395163.4323222944565378984201
y[1] (numeric) = 1808395163.4323222944106448441253
absolute error = 4.58930542948e-11
relative error = 2.5377779825342642767119053102039e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.852
y[1] (analytic) = 1812015572.961913434108122008234
y[1] (numeric) = 1812015572.961913434062137075983
absolute error = 4.59849322510e-11
relative error = 2.5377779825497422744011582264098e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.853
y[1] (analytic) = 1815643230.5562124424995278933176
y[1] (numeric) = 1815643230.5562124424534508991707
absolute error = 4.60769941469e-11
relative error = 2.5377779825601840895794685975996e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.854
y[1] (analytic) = 1819278150.7258545337042264349241
y[1] (numeric) = 1819278150.7258545336580571945732
absolute error = 4.61692403509e-11
relative error = 2.5377779825739908687486316365209e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.855
y[1] (analytic) = 1822920348.010525232851454849379
y[1] (numeric) = 1822920348.010525232805193178147
absolute error = 4.62616712320e-11
relative error = 2.5377779825919685744864614345133e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.856
y[1] (analytic) = 1826569836.9790185348877034549804
y[1] (numeric) = 1826569836.9790185348413491678207
absolute error = 4.63542871597e-11
relative error = 2.5377779826018479797138547524338e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.857
y[1] (analytic) = 1830226632.2292951797721205192108
y[1] (numeric) = 1830226632.2292951797256734307061
absolute error = 4.64470885047e-11
relative error = 2.5377779826165810821040449698971e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.858
y[1] (analytic) = 1833890748.3885410443389360455781
y[1] (numeric) = 1833890748.3885410442923959699399
absolute error = 4.65400756382e-11
relative error = 2.5377779826358386166667726479391e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.859
y[1] (analytic) = 1837562200.1132256510604720276386
y[1] (numeric) = 1837562200.1132256510138387787066
absolute error = 4.66332489320e-11
relative error = 2.5377779826515034079757149119609e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.86
y[1] (analytic) = 1841241002.0891607939447743002539
y[1] (numeric) = 1841241002.0891607938980476914951
absolute error = 4.67266087588e-11
relative error = 2.5377779826639607389158682173570e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.861
y[1] (analytic) = 1844927169.0315592818023696567773
y[1] (numeric) = 1844927169.0315592817555495012852
absolute error = 4.68201554921e-11
relative error = 2.5377779826765126626485615789868e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.862
y[1] (analytic) = 1848620715.6850937991171213775216
y[1] (numeric) = 1848620715.6850937990702074880155
absolute error = 4.69138895061e-11
relative error = 2.5377779826898586065683140823599e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.863
y[1] (analytic) = 1852321656.8239558847566267314133
y[1] (numeric) = 1852321656.8239558847096189202375
absolute error = 4.70078111758e-11
relative error = 2.5377779827074390674523348927972e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.864
y[1] (analytic) = 1856030007.2519150287580713710596
y[1] (numeric) = 1856030007.2519150287109694501829
absolute error = 4.71019208767e-11
relative error = 2.5377779827191638645213463319442e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.865
y[1] (analytic) = 1859745781.8023778874259278434432
y[1] (numeric) = 1859745781.8023778873787316244578
absolute error = 4.71962189854e-11
relative error = 2.5377779827337288436940822200700e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.866
y[1] (analytic) = 1863468995.3384476169783586859909
y[1] (numeric) = 1863468995.3384476169310679801119
absolute error = 4.72907058790e-11
relative error = 2.5377779827461497900153789990234e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.867
y[1] (analytic) = 1867199662.7529833259796587727415
y[1] (numeric) = 1867199662.752983325932273390806
absolute error = 4.73853819355e-11
relative error = 2.5377779827592403955480139908067e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.868
y[1] (analytic) = 1870937798.9686596467965467196506
y[1] (numeric) = 1870937798.968659646749066472117
absolute error = 4.74802475336e-11
relative error = 2.5377779827727639267883782787612e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.869
y[1] (analytic) = 1874683418.9380264263165912536281
y[1] (numeric) = 1874683418.9380264262690159505753
absolute error = 4.75753030528e-11
relative error = 2.5377779827887170163361267598517e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.87
y[1] (analytic) = 1878436537.6435685361675354986001
y[1] (numeric) = 1878436537.6435685361198649497269
absolute error = 4.76705488732e-11
relative error = 2.5377779828005794046641406618379e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.871
y[1] (analytic) = 1882197170.097765802676760135641
y[1] (numeric) = 1882197170.0977658026289941502651
absolute error = 4.77659853759e-11
relative error = 2.5377779828145698989095411213862e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.872
y[1] (analytic) = 1885965331.3431530568106053549332
y[1] (numeric) = 1885965331.3431530567627437419906
absolute error = 4.78616129426e-11
relative error = 2.5377779828282292680627442462162e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.873
y[1] (analytic) = 1889741036.4523803043337514369102
y[1] (numeric) = 1889741036.4523803042857940049543
absolute error = 4.79574319559e-11
relative error = 2.5377779828463010758202620127210e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.874
y[1] (analytic) = 1893524300.5282730164293386803314
y[1] (numeric) = 1893524300.5282730163812852375325
absolute error = 4.80534427989e-11
relative error = 2.5377779828594543888171244888540e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.875
y[1] (analytic) = 1897315138.7038925410209892381568
y[1] (numeric) = 1897315138.703892540972839592301
absolute error = 4.81496458558e-11
relative error = 2.5377779828759670219245966183998e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.876
y[1] (analytic) = 1901113566.1425966350383762298562
y[1] (numeric) = 1901113566.142596634990130188345
absolute error = 4.82460415112e-11
relative error = 2.5377779828846486697292712682395e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.877
y[1] (analytic) = 1904919598.0381001178684692731404
y[1] (numeric) = 1904919598.0381001178201266429895
absolute error = 4.83426301509e-11
relative error = 2.5377779828969507823435285881558e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1316.1MB, alloc=4.6MB, time=64.73
x[1] = 9.878
y[1] (analytic) = 1908733249.6145356462350703209663
y[1] (numeric) = 1908733249.614535646186630908805
absolute error = 4.84394121613e-11
relative error = 2.5377779829152255561028677898090e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.879
y[1] (analytic) = 1912554536.1265146107497394029933
y[1] (numeric) = 1912554536.126514610701203015064
absolute error = 4.85363879293e-11
relative error = 2.5377779829275069656474714235909e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.88
y[1] (analytic) = 1916383472.85918815437769655639
y[1] (numeric) = 1916383472.8591881543290629985471
absolute error = 4.86335578429e-11
relative error = 2.5377779829388818787612610858108e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.881
y[1] (analytic) = 1920220075.1283083130627738909556
y[1] (numeric) = 1920220075.1283083130140429686646
absolute error = 4.87309222910e-11
relative error = 2.5377779829608238983119930886805e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.882
y[1] (analytic) = 1924064358.280289278755980369885
y[1] (numeric) = 1924064358.2802892787071518882224
absolute error = 4.88284816626e-11
relative error = 2.5377779829694699014380269742682e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.883
y[1] (analytic) = 1927916337.6922687850927315021234
y[1] (numeric) = 1927916337.6922687850438052657751
absolute error = 4.89262363483e-11
relative error = 2.5377779829836959978439116947768e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.884
y[1] (analytic) = 1931776028.7721696159642867370724
y[1] (numeric) = 1931776028.7721696159152625503334
absolute error = 4.90241867390e-11
relative error = 2.5377779829973151263611916930803e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.885
y[1] (analytic) = 1935643446.958761237229428929413
y[1] (numeric) = 1935643446.9587612371803065961865
absolute error = 4.91223332265e-11
relative error = 2.5377779830102433241186375195502e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.886
y[1] (analytic) = 1939518607.7217215518129128029356
y[1] (numeric) = 1939518607.7217215517636921267322
absolute error = 4.92206762034e-11
relative error = 2.5377779830232022805934599459379e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.887
y[1] (analytic) = 1943401526.5616987784377028895134
y[1] (numeric) = 1943401526.5616987783883836734504
absolute error = 4.93192160630e-11
relative error = 2.5377779830324848715718028911426e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.888
y[1] (analytic) = 1947292219.0103734542385159546742
y[1] (numeric) = 1947292219.0103734541890980014746
absolute error = 4.94179531996e-11
relative error = 2.5377779830453245785939054312997e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.889
y[1] (analytic) = 1951190700.6305205615046784466117
y[1] (numeric) = 1951190700.6305205614551615586036
absolute error = 4.95168880081e-11
relative error = 2.5377779830592052335772713397901e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.89
y[1] (analytic) = 1955096987.0160717788008060229008
y[1] (numeric) = 1955096987.0160717787511900020165
absolute error = 4.96160208843e-11
relative error = 2.5377779830772218327859492733255e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.891
y[1] (analytic) = 1959011093.7921778567143097206373
y[1] (numeric) = 1959011093.7921778566645943684128
absolute error = 4.97153522245e-11
relative error = 2.5377779830875253122116753913081e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.892
y[1] (analytic) = 1962933036.6152711184792318431944
y[1] (numeric) = 1962933036.6152711184294169607682
absolute error = 4.98148824262e-11
relative error = 2.5377779830990518322942307716837e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.893
y[1] (analytic) = 1966862831.1731280857264141422724
y[1] (numeric) = 1966862831.1731280856764995303849
absolute error = 4.99146118875e-11
relative error = 2.5377779831107293703215032509218e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.894
y[1] (analytic) = 1970800493.184932229610501379417
y[1] (numeric) = 1970800493.1849322295604868384096
absolute error = 5.00145410074e-11
relative error = 2.5377779831267187831599220868579e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.895
y[1] (analytic) = 1974746038.4013368475647848586876
y[1] (numeric) = 1974746038.4013368475146701885022
absolute error = 5.01146701854e-11
relative error = 2.5377779831360250003088599561362e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.896
y[1] (analytic) = 1978699482.6045280659353930336864
y[1] (numeric) = 1978699482.6045280658851780338642
absolute error = 5.02149998222e-11
relative error = 2.5377779831479442334407761356814e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.897
y[1] (analytic) = 1982660841.6082879687468398097124
y[1] (numeric) = 1982660841.6082879686965242793933
absolute error = 5.03155303191e-11
relative error = 2.5377779831615185390612292049820e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.898
y[1] (analytic) = 1986630131.2580578528514456874075
y[1] (numeric) = 1986630131.2580578528010294253293
absolute error = 5.04162620782e-11
relative error = 2.5377779831756243823164011568936e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.899
y[1] (analytic) = 1990607367.4310016097156524299176
y[1] (numeric) = 1990607367.4310016096651352344152
absolute error = 5.05171955024e-11
relative error = 2.5377779831888935253521770772101e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.9
y[1] (analytic) = 1994592566.0360692340967584833378
y[1] (numeric) = 1994592566.0360692340461401523424
absolute error = 5.06183309954e-11
relative error = 2.5377779831996347126856647264428e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.901
y[1] (analytic) = 1998585743.014060459864109942061
y[1] (numeric) = 1998585743.0140604598133902730991
absolute error = 5.07196689619e-11
relative error = 2.5377779832157632250871975158384e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.902
y[1] (analytic) = 2002586914.3376885232192904286406
y[1] (numeric) = 2002586914.3376885231684692188335
absolute error = 5.08212098071e-11
relative error = 2.5377779832296564685255643868694e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.903
y[1] (analytic) = 2006596096.011644053570362853947
y[1] (numeric) = 2006596096.0116440535194399000099
absolute error = 5.09229539371e-11
relative error = 2.5377779832381623337980856078368e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.904
y[1] (analytic) = 2010613304.07265909231572663977
y[1] (numeric) = 2010613304.072659092264701738011
absolute error = 5.10249017590e-11
relative error = 2.5377779832474476430891084603122e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.905
y[1] (analytic) = 2014638554.5895712397936656246562
y[1] (numeric) = 2014638554.5895712397425385709755
absolute error = 5.11270536807e-11
relative error = 2.5377779832628970368084325775066e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.906
y[1] (analytic) = 2018671863.6633879306541745367009
y[1] (numeric) = 2018671863.6633879306029451265903
absolute error = 5.12294101106e-11
relative error = 2.5377779832741784815851561597718e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=1319.9MB, alloc=4.6MB, time=64.91
TOP MAIN SOLVE Loop
x[1] = 9.907
y[1] (analytic) = 2022713247.4273508379101656063032
y[1] (numeric) = 2022713247.427350837858833634845
absolute error = 5.13319714582e-11
relative error = 2.5377779832849823880217028756767e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.908
y[1] (analytic) = 2026762722.0470004059256716095797
y[1] (numeric) = 2026762722.0470004058742368714459
absolute error = 5.14347381338e-11
relative error = 2.5377779832979992043862753516486e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.909
y[1] (analytic) = 2030820303.7202405125991773812956
y[1] (numeric) = 2030820303.7202405125476396707471
absolute error = 5.15377105485e-11
relative error = 2.5377779833148484553211633540503e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.91
y[1] (analytic) = 2034886008.677403261000728616854
y[1] (numeric) = 2034886008.67740326094908772774
absolute error = 5.16408891140e-11
relative error = 2.5377779833261799687007297927810e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.911
y[1] (analytic) = 2038959853.1813139007219845981684
y[1] (numeric) = 2038959853.1813139006702403239253
absolute error = 5.17442742431e-11
relative error = 2.5377779833362249014693755396359e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.912
y[1] (analytic) = 2043041853.5273558791989003301905
y[1] (numeric) = 2043041853.527355879147052463841
absolute error = 5.18478663495e-11
relative error = 2.5377779833527903064340097109155e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.913
y[1] (analytic) = 2047132026.0435360232672434655566
y[1] (numeric) = 2047132026.0435360232152917997093
absolute error = 5.19516658473e-11
relative error = 2.5377779833627180226964132833777e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.914
y[1] (analytic) = 2051230387.0905498512116723263307
y[1] (numeric) = 2051230387.0905498511596166531788
absolute error = 5.20556731519e-11
relative error = 2.5377779833758891078659977919088e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.915
y[1] (analytic) = 2055336953.061847015569623306237
y[1] (numeric) = 2055336953.0618470155174634175577
absolute error = 5.21598886793e-11
relative error = 2.5377779833908557209446418735066e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.916
y[1] (analytic) = 2059451740.3836968769517789561899
y[1] (numeric) = 2059451740.3836968768995146433437
absolute error = 5.22643128462e-11
relative error = 2.5377779833997287614870453506661e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.917
y[1] (analytic) = 2063574765.5152542091414121224258
y[1] (numeric) = 2063574765.5152542090890431763552
absolute error = 5.23689460706e-11
relative error = 2.5377779834172372291913851464583e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.918
y[1] (analytic) = 2067706044.948625035735426622218
y[1] (numeric) = 2067706044.9486250356829528334473
absolute error = 5.24737887707e-11
relative error = 2.5377779834272227284657353978143e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.919
y[1] (analytic) = 2071845595.2089325985904411091229
y[1] (numeric) = 2071845595.2089325985378622677568
absolute error = 5.25788413661e-11
relative error = 2.5377779834407860163315438336008e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.92
y[1] (analytic) = 2075993432.8543834583377900000478
y[1] (numeric) = 2075993432.8543834582851058957709
absolute error = 5.26841042769e-11
relative error = 2.5377779834525817854342230741610e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.921
y[1] (analytic) = 2080149574.4763337272318436122797
y[1] (numeric) = 2080149574.4763337271790540343555
absolute error = 5.27895779242e-11
relative error = 2.5377779834649384468971046602794e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.922
y[1] (analytic) = 2084314036.6993554345965789920661
y[1] (numeric) = 2084314036.6993554345436837293362
absolute error = 5.28952627299e-11
relative error = 2.5377779834781053959447787069695e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.923
y[1] (analytic) = 2088486836.1813030251358633095176
y[1] (numeric) = 2088486836.1813030250828621504008
absolute error = 5.30011591168e-11
relative error = 2.5377779834949810401721722652221e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.924
y[1] (analytic) = 2092667989.6133799903734431496306
y[1] (numeric) = 2092667989.6133799903203358821224
absolute error = 5.31072675082e-11
relative error = 2.5377779835018911664107621747272e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.925
y[1] (analytic) = 2096857513.7202056334891655482306
y[1] (numeric) = 2096857513.7202056334359519599017
absolute error = 5.32135883289e-11
relative error = 2.5377779835163639942218333960247e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.926
y[1] (analytic) = 2101055425.2598819678184902067366
y[1] (numeric) = 2101055425.2598819677651700847326
absolute error = 5.33201220040e-11
relative error = 2.5377779835296240525182153498261e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.927
y[1] (analytic) = 2105261741.024060749282886972998
y[1] (numeric) = 2105261741.0240607492294601040383
absolute error = 5.34268689597e-11
relative error = 2.5377779835447734763172608014532e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.928
y[1] (analytic) = 2109476477.8380106430192483991662
y[1] (numeric) = 2109476477.8380106429657145695434
absolute error = 5.35338296228e-11
relative error = 2.5377779835528903317383381208326e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.929
y[1] (analytic) = 2113699652.5606845244769839838102
y[1] (numeric) = 2113699652.5606845244233429793889
absolute error = 5.36410044213e-11
relative error = 2.5377779835614540556581814942885e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.93
y[1] (analytic) = 2117931282.0847869152520005763854
y[1] (numeric) = 2117931282.0847869151982521826014
absolute error = 5.37483937840e-11
relative error = 2.5377779835752148039608658803080e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.931
y[1] (analytic) = 2122171383.3368415539273123698926
y[1] (numeric) = 2122171383.3368415538734563717523
absolute error = 5.38559981403e-11
relative error = 2.5377779835867153055876116250861e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.932
y[1] (analytic) = 2126419973.2772591021905639342628
y[1] (numeric) = 2126419973.277259102136600116342
absolute error = 5.39638179208e-11
relative error = 2.5377779836045482604704744603831e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.933
y[1] (analytic) = 2130677068.9004049864992908508318
y[1] (numeric) = 2130677068.9004049864452189972753
absolute error = 5.40718535565e-11
relative error = 2.5377779836155687432049774460382e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.934
y[1] (analytic) = 2134942687.234667375565284699407
y[1] (numeric) = 2134942687.2346673755111045939273
absolute error = 5.41801054797e-11
relative error = 2.5377779836271859136867069623409e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1323.7MB, alloc=4.6MB, time=65.10
x[1] = 9.935
y[1] (analytic) = 2139216845.3425252939299724260182
y[1] (numeric) = 2139216845.3425252938756838518949
absolute error = 5.42885741233e-11
relative error = 2.5377779836343551465567436434540e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.936
y[1] (analytic) = 2143499560.3206168719032644836923
y[1] (numeric) = 2143499560.3206168718488672237708
absolute error = 5.43972599215e-11
relative error = 2.5377779836522782217396082341137e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.937
y[1] (analytic) = 2147790849.2998077321388715926406
y[1] (numeric) = 2147790849.2998077320843654293319
absolute error = 5.45061633087e-11
relative error = 2.5377779836649050449723126183744e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.938
y[1] (analytic) = 2152090729.4452595131196365123116
y[1] (numeric) = 2152090729.445259513065021227591
absolute error = 5.46152847206e-11
relative error = 2.5377779836762775304825765132211e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.939
y[1] (analytic) = 2156399217.9564985298269748579979
y[1] (numeric) = 2156399217.9564985297722502334042
absolute error = 5.47246245937e-11
relative error = 2.5377779836870619164095442596947e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.94
y[1] (analytic) = 2160716332.0674845718690677313096
y[1] (numeric) = 2160716332.0674845718142335479442
absolute error = 5.48341833654e-11
relative error = 2.5377779836991296177564683163655e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.941
y[1] (analytic) = 2165042089.0466798393429987690156
y[1] (numeric) = 2165042089.0466798392880548075416
absolute error = 5.49439614740e-11
relative error = 2.5377779837154643562368005205054e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.942
y[1] (analytic) = 2169376506.1971180167065791507144
y[1] (numeric) = 2169376506.197118016651525191356
absolute error = 5.50539593584e-11
relative error = 2.5377779837262413115698515880780e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.943
y[1] (analytic) = 2173719600.8564734849361561447348
y[1] (numeric) = 2173719600.856473484880991967276
absolute error = 5.51641774588e-11
relative error = 2.5377779837410770212823346471266e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.944
y[1] (analytic) = 2178071390.3971306722472539157814
y[1] (numeric) = 2178071390.3971306721919792995655
absolute error = 5.52746162159e-11
relative error = 2.5377779837520250074531660248119e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.945
y[1] (analytic) = 2182431892.2262535436554495693574
y[1] (numeric) = 2182431892.226253543600064293286
absolute error = 5.53852760714e-11
relative error = 2.5377779837565802663610873308270e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.946
y[1] (analytic) = 2186801123.7858552296554427691214
y[1] (numeric) = 2186801123.7858552295999466116532
absolute error = 5.54961574682e-11
relative error = 2.5377779837666902001826442088708e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.947
y[1] (analytic) = 2191179102.5528677942968337362936
y[1] (numeric) = 2191179102.5528677942412264754438
absolute error = 5.56072608498e-11
relative error = 2.5377779837811470162934455320954e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.948
y[1] (analytic) = 2195565846.0392121429356820272492
y[1] (numeric) = 2195565846.0392121428799634405887
absolute error = 5.57185866605e-11
relative error = 2.5377779837947471364338272858370e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.949
y[1] (analytic) = 2199961371.791868069941477188744
y[1] (numeric) = 2199961371.7918680698856470533984
absolute error = 5.58301353456e-11
relative error = 2.5377779838073414271884082069081e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.95
y[1] (analytic) = 2204365697.392944446639712212051
y[1] (numeric) = 2204365697.3929444465837703046996
absolute error = 5.59419073514e-11
relative error = 2.5377779838237041094964698406391e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.951
y[1] (analytic) = 2208778840.4597495497708116498862
y[1] (numeric) = 2208778840.4597495497147577467615
absolute error = 5.60539031247e-11
relative error = 2.5377779838307658337199243002804e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.952
y[1] (analytic) = 2213200818.6448615307467283256087
y[1] (numeric) = 2213200818.6448615306905622024949
absolute error = 5.61661231138e-11
relative error = 2.5377779838428943706651590221231e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.953
y[1] (analytic) = 2217631649.6361990259870857550376
y[1] (numeric) = 2217631649.6361990259308071872701
absolute error = 5.62785677675e-11
relative error = 2.5377779838564470805399558626536e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.954
y[1] (analytic) = 2222071351.1570919086173077196065
y[1] (numeric) = 2222071351.157091908560916482071
absolute error = 5.63912375355e-11
relative error = 2.5377779838678706824600129748516e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.955
y[1] (analytic) = 2226519940.966352181811741877707
y[1] (numeric) = 2226519940.9663521817552377448384
absolute error = 5.65041328686e-11
relative error = 2.5377779838826023306673120223498e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.956
y[1] (analytic) = 2230977436.8583450140653508812402
y[1] (numeric) = 2230977436.858345014008733627022
absolute error = 5.66172542182e-11
relative error = 2.5377779838924874364892792529312e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.957
y[1] (analytic) = 2235443856.6630599166781121788559
y[1] (numeric) = 2235443856.663059916621381576819
absolute error = 5.67306020369e-11
relative error = 2.5377779839026747363973810214951e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.958
y[1] (analytic) = 2239919218.2461820637368365383804
y[1] (numeric) = 2239919218.2461820636799923616023
absolute error = 5.68441767781e-11
relative error = 2.5377779839135451261681416148069e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.959
y[1] (analytic) = 2244403539.509163754879685310801
y[1] (numeric) = 2244403539.5091637548227273319049
absolute error = 5.69579788961e-11
relative error = 2.5377779839251338093054402371305e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.96
y[1] (analytic) = 2248896838.3892960211292375891602
y[1] (numeric) = 2248896838.3892960210721655803141
absolute error = 5.70720088461e-11
relative error = 2.5377779839370529313465676502910e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.961
y[1] (analytic) = 2253399132.8597803740805306901024
y[1] (numeric) = 2253399132.8597803740233444230182
absolute error = 5.71862670842e-11
relative error = 2.5377779839484150008217437892899e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.962
y[1] (analytic) = 2257910440.9298006987310708059002
y[1] (numeric) = 2257910440.9298006986737700518328
absolute error = 5.73007540674e-11
relative error = 2.5377779839577570921244109475398e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.963
y[1] (analytic) = 2262430780.6445952902403852428612
y[1] (numeric) = 2262430780.6445952901829697726074
absolute error = 5.74154702538e-11
relative error = 2.5377779839718058750314712670040e-18 %
Correct digits = 19
h = 0.001
NO POLE
memory used=1327.5MB, alloc=4.6MB, time=65.28
TOP MAIN SOLVE Loop
x[1] = 9.964
y[1] (analytic) = 2266960170.0855290349072633803718
y[1] (numeric) = 2266960170.0855290348497329642697
absolute error = 5.75304161021e-11
relative error = 2.5377779839832590875299813254725e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.965
y[1] (analytic) = 2271498627.3701657356534103557844
y[1] (numeric) = 2271498627.3701657355957647637123
absolute error = 5.76455920721e-11
relative error = 2.5377779839928565123584622879592e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.966
y[1] (analytic) = 2276046170.6523405823028155061962
y[1] (numeric) = 2276046170.6523405822450545075717
absolute error = 5.77609986245e-11
relative error = 2.5377779840004319561592606026217e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.967
y[1] (analytic) = 2280602818.1222327669467167812202
y[1] (numeric) = 2280602818.1222327668888401449991
absolute error = 5.78766362211e-11
relative error = 2.5377779840136110781204671526440e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.968
y[1] (analytic) = 2285168588.0064382446846226834268
y[1] (numeric) = 2285168588.0064382446266301781025
absolute error = 5.79925053243e-11
relative error = 2.5377779840257725284221321533448e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.969
y[1] (analytic) = 2289743498.5680426400324347975584
y[1] (numeric) = 2289743498.5680426399743261911608
absolute error = 5.81086063976e-11
relative error = 2.5377779840379456747914281722548e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.97
y[1] (analytic) = 2294327568.1066942992892966382152
y[1] (numeric) = 2294327568.1066942992310716983098
absolute error = 5.82249399054e-11
relative error = 2.5377779840499364806656013675544e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.971
y[1] (analytic) = 2298920814.9586774891553783808108
y[1] (numeric) = 2298920814.9586774890970368744979
absolute error = 5.83415063129e-11
relative error = 2.5377779840559090149729199310705e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.972
y[1] (analytic) = 2303523257.4969857418933920445354
y[1] (numeric) = 2303523257.4969857418349337384487
absolute error = 5.84583060867e-11
relative error = 2.5377779840704080748189517345942e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.973
y[1] (analytic) = 2308134914.1313953473272178711789
y[1] (numeric) = 2308134914.1313953472686425314852
absolute error = 5.85753396937e-11
relative error = 2.5377779840804174847910934374461e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.974
y[1] (analytic) = 2312755803.3085389919716099923123
y[1] (numeric) = 2312755803.3085389919129173847101
absolute error = 5.86926076022e-11
relative error = 2.5377779840931163535124704139059e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.975
y[1] (analytic) = 2317385943.5119795455875380018314
y[1] (numeric) = 2317385943.5119795455287278915503
absolute error = 5.88101102811e-11
relative error = 2.5377779841010753817703092825570e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.976
y[1] (analytic) = 2322025353.2622839954583107536148
y[1] (numeric) = 2322025353.2622839953993829054142
absolute error = 5.89278482006e-11
relative error = 2.5377779841124678067805939558676e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.977
y[1] (analytic) = 2326674051.1170975286822195873679
y[1] (numeric) = 2326674051.1170975286231737655363
absolute error = 5.90458218316e-11
relative error = 2.5377779841250451414067935216301e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.978
y[1] (analytic) = 2331332055.6712177627780302520034
y[1] (numeric) = 2331332055.6712177627188662203575
absolute error = 5.91640316459e-11
relative error = 2.5377779841347389439389580970996e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.979
y[1] (analytic) = 2335999385.5566691249002460475005
y[1] (numeric) = 2335999385.5566691248409635693841
absolute error = 5.92824781164e-11
relative error = 2.5377779841441599310932010377147e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.98
y[1] (analytic) = 2340676059.4427773799616591454664
y[1] (numeric) = 2340676059.4427773799022579837494
absolute error = 5.94011617170e-11
relative error = 2.5377779841581783416062448241839e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.981
y[1] (analytic) = 2345362096.036244307961302677977
y[1] (numeric) = 2345362096.0362443079017825950548
absolute error = 5.95200829222e-11
relative error = 2.5377779841667655198621602687530e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.982
y[1] (analytic) = 2350057514.0812225308165130060755
y[1] (numeric) = 2350057514.0812225307568737638677
absolute error = 5.96392422078e-11
relative error = 2.5377779841748482626603878645030e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.983
y[1] (analytic) = 2354762332.3593904889984095959458
y[1] (numeric) = 2354762332.3593904889386509558953
absolute error = 5.97586400505e-11
relative error = 2.5377779841850921578672176395544e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.984
y[1] (analytic) = 2359476569.69002756827069914465
y[1] (numeric) = 2359476569.6900275682108208677221
absolute error = 5.98782769279e-11
relative error = 2.5377779841978431737302179220545e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.985
y[1] (analytic) = 2364200244.9300893768323110108148
y[1] (numeric) = 2364200244.9300893767723128574965
absolute error = 5.99981533183e-11
relative error = 2.5377779842026104012762447185716e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.986
y[1] (analytic) = 2368933376.9742831731649726211798
y[1] (numeric) = 2368933376.9742831731048543514783
absolute error = 6.01182697015e-11
relative error = 2.5377779842118639695985512517121e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.987
y[1] (analytic) = 2373675984.7551434448874363438766
y[1] (numeric) = 2373675984.7551434448271977173187
absolute error = 6.02386265579e-11
relative error = 2.5377779842228094054114563710195e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.988
y[1] (analytic) = 2378428087.2431076389186733461216
y[1] (numeric) = 2378428087.2431076388583141217526
absolute error = 6.03592243690e-11
relative error = 2.5377779842384811133253290728305e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.989
y[1] (analytic) = 2383189703.4465920432529551900682
y[1] (numeric) = 2383189703.4465920431924751264514
absolute error = 6.04800636168e-11
relative error = 2.5377779842424271101740357583417e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.99
y[1] (analytic) = 2387960852.4120678206503503683244
y[1] (numeric) = 2387960852.4120678205897492235393
absolute error = 6.06011447851e-11
relative error = 2.5377779842532625223850692078801e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.991
y[1] (analytic) = 2392741553.2241371945467706424951
y[1] (numeric) = 2392741553.224137194486048174137
absolute error = 6.07224683581e-11
relative error = 2.5377779842657288286847923065291e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1331.3MB, alloc=4.6MB, time=65.47
x[1] = 9.992
y[1] (analytic) = 2397531825.0056097874883109265205
y[1] (numeric) = 2397531825.0056097874274668916995
absolute error = 6.08440348210e-11
relative error = 2.5377779842758765485065868789957e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.993
y[1] (analytic) = 2402331686.917579112395236553952
y[1] (numeric) = 2402331686.9175791123342707092919
absolute error = 6.09658446601e-11
relative error = 2.5377779842851341926326629600635e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.994
y[1] (analytic) = 2407141158.1594992169615830871042
y[1] (numeric) = 2407141158.1594992169004951887414
absolute error = 6.10878983628e-11
relative error = 2.5377779843001738906255607163912e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.995
y[1] (analytic) = 2411960257.9692614814969463686732
y[1] (numeric) = 2411960257.9692614814357361722561
absolute error = 6.12101964171e-11
relative error = 2.5377779843120481197942764939440e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.996
y[1] (analytic) = 2416789005.6232715705176542853812
y[1] (numeric) = 2416789005.6232715704563215460689
absolute error = 6.13327393123e-11
relative error = 2.5377779843252287264044747059550e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.997
y[1] (analytic) = 2421627420.4365265383951267109338
y[1] (numeric) = 2421627420.4365265383336711833954
absolute error = 6.14555275384e-11
relative error = 2.5377779843326156925015001536604e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.998
y[1] (analytic) = 2426475521.7626920893698463245396
y[1] (numeric) = 2426475521.7626920893082677629528
absolute error = 6.15785615868e-11
relative error = 2.5377779843444201829075682709915e-18 %
Correct digits = 19
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 9.999
y[1] (analytic) = 2431333328.9941799922399804638867
y[1] (numeric) = 2431333328.9941799921782786219372
absolute error = 6.17018419495e-11
relative error = 2.5377779843550073292160068437778e-18 %
Correct digits = 19
h = 0.001
NO POLE
Finished!
diff ( y , x , 1 ) = sinh (2.0 * x + 3.0) ;
Iterations = 10000
Total Elapsed Time = 1 Minutes 5 Seconds
Elapsed Time(since restart) = 1 Minutes 5 Seconds
Time to Timeout = 1 Minutes 54 Seconds
Percent Done = 100 %
> quit
memory used=1332.4MB, alloc=4.6MB, time=65.51