|\^/| 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,
> #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_g,
> array_tmp1,
> array_tmp2_g,
> array_tmp2,
> 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_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_g, array_tmp1, array_tmp2_g, array_tmp2,
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,
> #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_g,
> array_tmp1,
> array_tmp2_g,
> array_tmp2,
> 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_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_g, array_tmp1, array_tmp2_g, array_tmp2,
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,
> #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_g,
> array_tmp1,
> array_tmp2_g,
> array_tmp2,
> 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_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_g, array_tmp1, array_tmp2_g, array_tmp2,
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,
> #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_g,
> array_tmp1,
> array_tmp2_g,
> array_tmp2,
> 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_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_g, array_tmp1, array_tmp2_g, array_tmp2,
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,
> #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_g,
> array_tmp1,
> array_tmp2_g,
> array_tmp2,
> 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_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_g, array_tmp1, array_tmp2_g, array_tmp2,
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,
> #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_g,
> array_tmp1,
> array_tmp2_g,
> array_tmp2,
> 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_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_g, array_tmp1, array_tmp2_g, array_tmp2,
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,
> #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_g,
> array_tmp1,
> array_tmp2_g,
> array_tmp2,
> 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_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_g, array_tmp1, array_tmp2_g, array_tmp2,
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,
> #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_g,
> array_tmp1,
> array_tmp2_g,
> array_tmp2,
> 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_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_g, array_tmp1, array_tmp2_g, array_tmp2,
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,
> #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_g,
> array_tmp1,
> array_tmp2_g,
> array_tmp2,
> 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 sin 1 $eq_no = 1
> array_tmp1[1] := sin(array_x[1]);
> array_tmp1_g[1] := cos(array_x[1]);
> #emit pre sin 1 $eq_no = 1
> array_tmp2[1] := sin(array_x[1]);
> array_tmp2_g[1] := cos(array_x[1]);
> # emit pre mult FULL FULL $eq_no = 1 i = 1
> array_tmp3[1] := (array_tmp1[1] * (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 sin ID_LINEAR iii = 2 $eq_no = 1
> array_tmp1[2] := array_tmp1_g[1] * array_x[2] / 1;
> array_tmp1_g[2] := -array_tmp1[1] * array_x[2] / 1;
> #emit pre sin ID_LINEAR iii = 2 $eq_no = 1
> array_tmp2[2] := array_tmp2_g[1] * array_x[2] / 1;
> array_tmp2_g[2] := -array_tmp2[1] * array_x[2] / 1;
> # emit pre mult FULL FULL $eq_no = 1 i = 2
> array_tmp3[2] := ats(2,array_tmp1,array_tmp2,1);
> #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 sin ID_LINEAR iii = 3 $eq_no = 1
> array_tmp1[3] := array_tmp1_g[2] * array_x[2] / 2;
> array_tmp1_g[3] := -array_tmp1[2] * array_x[2] / 2;
> #emit pre sin ID_LINEAR iii = 3 $eq_no = 1
> array_tmp2[3] := array_tmp2_g[2] * array_x[2] / 2;
> array_tmp2_g[3] := -array_tmp2[2] * array_x[2] / 2;
> # emit pre mult FULL FULL $eq_no = 1 i = 3
> array_tmp3[3] := ats(3,array_tmp1,array_tmp2,1);
> #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 sin ID_LINEAR iii = 4 $eq_no = 1
> array_tmp1[4] := array_tmp1_g[3] * array_x[2] / 3;
> array_tmp1_g[4] := -array_tmp1[3] * array_x[2] / 3;
> #emit pre sin ID_LINEAR iii = 4 $eq_no = 1
> array_tmp2[4] := array_tmp2_g[3] * array_x[2] / 3;
> array_tmp2_g[4] := -array_tmp2[3] * array_x[2] / 3;
> # emit pre mult FULL FULL $eq_no = 1 i = 4
> array_tmp3[4] := ats(4,array_tmp1,array_tmp2,1);
> #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 sin ID_LINEAR iii = 5 $eq_no = 1
> array_tmp1[5] := array_tmp1_g[4] * array_x[2] / 4;
> array_tmp1_g[5] := -array_tmp1[4] * array_x[2] / 4;
> #emit pre sin ID_LINEAR iii = 5 $eq_no = 1
> array_tmp2[5] := array_tmp2_g[4] * array_x[2] / 4;
> array_tmp2_g[5] := -array_tmp2[4] * array_x[2] / 4;
> # emit pre mult FULL FULL $eq_no = 1 i = 5
> array_tmp3[5] := ats(5,array_tmp1,array_tmp2,1);
> #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 sin LINEAR $eq_no = 1
> array_tmp1[kkk] := array_tmp1_g[kkk - 1] * array_x[2] / (kkk - 1);
> array_tmp1_g[kkk] := -array_tmp1[kkk - 1] * array_x[2] / (kkk - 1);
> #emit sin LINEAR $eq_no = 1
> array_tmp2[kkk] := array_tmp2_g[kkk - 1] * array_x[2] / (kkk - 1);
> array_tmp2_g[kkk] := -array_tmp2[kkk - 1] * array_x[2] / (kkk - 1);
> #emit mult FULL FULL $eq_no = 1
> array_tmp3[kkk] := ats(kkk,array_tmp1,array_tmp2,1);
> #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_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_g, array_tmp1, array_tmp2_g, array_tmp2,
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] := sin(array_x[1]);
array_tmp1_g[1] := cos(array_x[1]);
array_tmp2[1] := sin(array_x[1]);
array_tmp2_g[1] := cos(array_x[1]);
array_tmp3[1] := array_tmp1[1]*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_tmp1_g[1]*array_x[2];
array_tmp1_g[2] := -array_tmp1[1]*array_x[2];
array_tmp2[2] := array_tmp2_g[1]*array_x[2];
array_tmp2_g[2] := -array_tmp2[1]*array_x[2];
array_tmp3[2] := ats(2, array_tmp1, array_tmp2, 1);
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_tmp1[3] := 1/2*array_tmp1_g[2]*array_x[2];
array_tmp1_g[3] := -1/2*array_tmp1[2]*array_x[2];
array_tmp2[3] := 1/2*array_tmp2_g[2]*array_x[2];
array_tmp2_g[3] := -1/2*array_tmp2[2]*array_x[2];
array_tmp3[3] := ats(3, array_tmp1, array_tmp2, 1);
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_tmp1[4] := 1/3*array_tmp1_g[3]*array_x[2];
array_tmp1_g[4] := -1/3*array_tmp1[3]*array_x[2];
array_tmp2[4] := 1/3*array_tmp2_g[3]*array_x[2];
array_tmp2_g[4] := -1/3*array_tmp2[3]*array_x[2];
array_tmp3[4] := ats(4, array_tmp1, array_tmp2, 1);
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_tmp1[5] := 1/4*array_tmp1_g[4]*array_x[2];
array_tmp1_g[5] := -1/4*array_tmp1[4]*array_x[2];
array_tmp2[5] := 1/4*array_tmp2_g[4]*array_x[2];
array_tmp2_g[5] := -1/4*array_tmp2[4]*array_x[2];
array_tmp3[5] := ats(5, array_tmp1, array_tmp2, 1);
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_tmp1[kkk] := array_tmp1_g[kkk - 1]*array_x[2]/(kkk - 1);
array_tmp1_g[kkk] := -array_tmp1[kkk - 1]*array_x[2]/(kkk - 1);
array_tmp2[kkk] := array_tmp2_g[kkk - 1]*array_x[2]/(kkk - 1);
array_tmp2_g[kkk] := -array_tmp2[kkk - 1]*array_x[2]/(kkk - 1);
array_tmp3[kkk] := ats(kkk, array_tmp1, array_tmp2, 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(-(sin(x) * cos(x))/2.0 + x/2.0);
> end;
exact_soln_y := proc(x) return -sin(x)*cos(x)/2.0 + x/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,
> #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_g,
> array_tmp1,
> array_tmp2_g,
> array_tmp2,
> 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/mult_sin_sinpostode.ode#################");
> omniout_str(ALWAYS,"diff ( y , x , 1 ) = sin(x) * sin(x);");
> 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 := 0.1;");
> omniout_str(ALWAYS,"x_end := 5.0 ;");
> omniout_str(ALWAYS,"array_y_init[0 + 1] := exact_soln_y(x_start);");
> omniout_str(ALWAYS,"glob_h := 0.05;");
> omniout_str(ALWAYS,"glob_look_poles := true;");
> omniout_str(ALWAYS,"glob_max_iter := 1000000;");
> 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(-(sin(x) * cos(x))/2.0 + x/2.0);");
> omniout_str(ALWAYS,"end;");
> 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_g:= Array(0..(max_terms + 1),[]);
> array_tmp1:= Array(0..(max_terms + 1),[]);
> array_tmp2_g:= Array(0..(max_terms + 1),[]);
> array_tmp2:= 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_g[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_g[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[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_g := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp1_g[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_g := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp2_g[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 := 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_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 := 0.1;
> x_end := 5.0 ;
> array_y_init[0 + 1] := exact_soln_y(x_start);
> glob_h := 0.05;
> glob_look_poles := true;
> glob_max_iter := 1000000;
> #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 ) = sin(x) * sin(x);");
> 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,"2013-01-13T01:18:20-06:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> logitem_str(html_log_file,"mult_sin_sin")
> ;
> logitem_str(html_log_file,"diff ( y , x , 1 ) = sin(x) * sin(x);")
> ;
> 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,"mult_sin_sin diffeq.mxt")
> ;
> logitem_str(html_log_file,"mult_sin_sin 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_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_g, array_tmp1, array_tmp2_g, array_tmp2,
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/mult_sin_sinpostode.ode#################");
omniout_str(ALWAYS, "diff ( y , x , 1 ) = sin(x) * sin(x);");
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 := 0.1;");
omniout_str(ALWAYS, "x_end := 5.0 ;");
omniout_str(ALWAYS, "array_y_init[0 + 1] := exact_soln_y(x_start);");
omniout_str(ALWAYS, "glob_h := 0.05;");
omniout_str(ALWAYS, "glob_look_poles := true;");
omniout_str(ALWAYS, "glob_max_iter := 1000000;");
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(-(sin(x) * cos(x))/2.0 + x/2.0);");
omniout_str(ALWAYS, "end;");
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_g := Array(0 .. max_terms + 1, []);
array_tmp1 := Array(0 .. max_terms + 1, []);
array_tmp2_g := Array(0 .. max_terms + 1, []);
array_tmp2 := 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_g[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_g[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[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_g := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp1_g[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_g := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp2_g[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 := 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_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 := 0.1;
x_end := 5.0;
array_y_init[1] := exact_soln_y(x_start);
glob_h := 0.05;
glob_look_poles := true;
glob_max_iter := 1000000;
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 ) = sin(x) * sin(x);");
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, "2013-01-13T01:18:20-06:00");
logitem_str(html_log_file, "Maple");
logitem_str(html_log_file,
"mult_sin_sin");
logitem_str(html_log_file,
"diff ( y , x , 1 ) = sin(x) * sin(x);");
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, "mult_sin_sin diffeq.mxt");
logitem_str(html_log_file, "mult_sin_sin 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/mult_sin_sinpostode.ode#################
diff ( y , x , 1 ) = sin(x) * sin(x);
!
#BEGIN FIRST INPUT BLOCK
Digits:=32;
max_terms:=30;
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start := 0.1;
x_end := 5.0 ;
array_y_init[0 + 1] := exact_soln_y(x_start);
glob_h := 0.05;
glob_look_poles := true;
glob_max_iter := 1000000;
#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(-(sin(x) * cos(x))/2.0 + x/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 = 4.9
estimated_steps = 4900
step_error = 2.0408163265306122448979591836735e-14
est_needed_step_err = 2.0408163265306122448979591836735e-14
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
value3 = 8.2662976641643814129263220824209e-99
max_value3 = 8.2662976641643814129263220824209e-99
value3 = 8.2662976641643814129263220824209e-99
best_h = 0.001
START of Soultion
x[1] = 0.1
y[1] (analytic) = 0.000332667301234696135146843220402
y[1] (numeric) = 0.000332667301234696135146843220402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
x[1] = 0.1
y[1] (analytic) = 0.000332667301234696135146843220402
y[1] (numeric) = 0.000332667301234696135146843220402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.101
y[1] (analytic) = 0.0003427336736351552421230817713
y[1] (numeric) = 0.00034273367363515524212308177130121
absolute error = 1.21e-33
relative error = 3.5304380429454440271249552370752e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.102
y[1] (analytic) = 0.000353000675034043462293378746855
y[1] (numeric) = 0.00035300067503404346229337874685449
absolute error = 5.1e-34
relative error = 1.4447564440232741438094352213672e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.103
y[1] (analytic) = 0.00036347026436270222286044895481
y[1] (numeric) = 0.0003634702643627022228604489548111
absolute error = 1.10e-33
relative error = 3.0263823697619577134421779806103e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.104
y[1] (analytic) = 0.00037414439974212150206204929425
y[1] (numeric) = 0.00037414439974212150206204929425183
absolute error = 1.83e-33
relative error = 4.8911596732740752226108322213434e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.105
y[1] (analytic) = 0.00038502503847510734782189344309
y[1] (numeric) = 0.0003850250384751073478218934430887
absolute error = 1.30e-33
relative error = 3.3764037922018093511913761112876e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=3.8MB, alloc=2.9MB, time=0.14
x[1] = 0.106
y[1] (analytic) = 0.000396114137038452669135196889975
y[1] (numeric) = 0.00039611413703845266913519688997588
absolute error = 8.8e-34
relative error = 2.2215819071223258208749199426631e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.107
y[1] (analytic) = 0.00040741365107511133150567632951
y[1] (numeric) = 0.00040741365107511133150567632950836
absolute error = 1.64e-33
relative error = 4.0253928548350172558157757576929e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.108
y[1] (analytic) = 0.00041892553538637558773761123817
y[1] (numeric) = 0.00041892553538637558773761123817263
absolute error = 2.63e-33
relative error = 6.2779653610142132869550876691808e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.109
y[1] (analytic) = 0.000430651743924056875373234032715
y[1] (numeric) = 0.00043065174392405687537323403271234
absolute error = 2.66e-33
relative error = 6.1766846124024444431366484422156e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.11
y[1] (analytic) = 0.00044259422978267001205224863575
y[1] (numeric) = 0.00044259422978267001205224863574616
absolute error = 3.84e-33
relative error = 8.6761185338669705124682057831419e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.111
y[1] (analytic) = 0.000454754945191620820056685589495
y[1] (numeric) = 0.00045475494519162082005668558949217
absolute error = 2.83e-33
relative error = 6.2231318865757872398142669069065e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.112
y[1] (analytic) = 0.00046713584150739721129058512168
y[1] (numeric) = 0.00046713584150739721129058512167907
absolute error = 9.3e-34
relative error = 1.9908555871007239348667577111530e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.113
y[1] (analytic) = 0.000479738869205763763930157833025
y[1] (numeric) = 0.00047973886920576376393015783302669
absolute error = 1.69e-33
relative error = 3.5227497884378131223444151884075e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.114
y[1] (analytic) = 0.000492565977873959821966105998425
y[1] (numeric) = 0.00049256597787395982196610599842328
absolute error = 1.72e-33
relative error = 3.4919179912180657456875401924253e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.115
y[1] (analytic) = 0.00050561911620290114884569690998
y[1] (numeric) = 0.00050561911620290114884569690998177
absolute error = 1.77e-33
relative error = 3.5006587830229747706134180120093e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.116
y[1] (analytic) = 0.00051890023197938516640796329589
y[1] (numeric) = 0.00051890023197938516640796329588798
absolute error = 2.02e-33
relative error = 3.8928485198292422895568993031303e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.117
y[1] (analytic) = 0.00053241127207829981029106468123
y[1] (numeric) = 0.00053241127207829981029106468122563
absolute error = 4.37e-33
relative error = 8.2079404197086943385684881144377e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.118
y[1] (analytic) = 0.00054615418245483603297637767314
y[1] (numeric) = 0.00054615418245483603297637767314136
memory used=7.6MB, alloc=3.9MB, time=0.29
absolute error = 1.36e-33
relative error = 2.4901393117363237802531795582495e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.119
y[1] (analytic) = 0.000560130908136703985619292610665
y[1] (numeric) = 0.0005601309081367039856192926106607
absolute error = 4.30e-33
relative error = 7.6767768704357125122283704145803e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.12
y[1] (analytic) = 0.000574343393216352909801978877545
y[1] (numeric) = 0.0005743433932163529098019788775456
absolute error = 6.0e-34
relative error = 1.0446711968600679050085432234657e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.121
y[1] (analytic) = 0.00058879358084319477032854149366
y[1] (numeric) = 0.0005887935808431947703285414936559
absolute error = 4.10e-33
relative error = 6.9633911329816215267118899271771e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.122
y[1] (analytic) = 0.0006034834132158316601680274357
y[1] (numeric) = 0.00060348341321583166016802743570023
absolute error = 2.3e-34
relative error = 3.8112066539555759764242852351027e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.123
y[1] (analytic) = 0.000618414831574287008635651551895
y[1] (numeric) = 0.00061841483157428700863565155189237
absolute error = 2.63e-33
relative error = 4.2528087389250649957700752693677e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.124
y[1] (analytic) = 0.00063358977619224062388739898722
y[1] (numeric) = 0.00063358977619224062388739898722159
absolute error = 1.59e-33
relative error = 2.5095101905772706081539421291299e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.125
y[1] (analytic) = 0.00064901018636926760078782378765
y[1] (numeric) = 0.00064901018636926760078782378765213
absolute error = 2.13e-33
relative error = 3.2819207536876670797120413591450e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.126
y[1] (analytic) = 0.000664678000423081125195401863935
y[1] (numeric) = 0.00066467800042308112519540186393578
absolute error = 7.8e-34
relative error = 1.1735005514000975905569647125451e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.127
y[1] (analytic) = 0.000680595155681779205694210830705
y[1] (numeric) = 0.00068059515568177920569421083069964
absolute error = 5.36e-33
relative error = 7.8754601105420373751532332518063e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.128
y[1] (analytic) = 0.0006967635884760953637849994564
y[1] (numeric) = 0.00069676358847609536378499945639987
absolute error = 1.3e-34
relative error = 1.8657691381997360680248000142838e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.129
y[1] (analytic) = 0.00071318523413165331353287562745
y[1] (numeric) = 0.00071318523413165331353287562745209
absolute error = 2.09e-33
relative error = 2.9305149629811152186107428934584e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.13
y[1] (analytic) = 0.000729862026961225661652883908695
y[1] (numeric) = 0.00072986202696122566165288390869407
absolute error = 9.3e-34
relative error = 1.2742134343829985044984498039905e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=11.4MB, alloc=4.1MB, time=0.45
x[1] = 0.131
y[1] (analytic) = 0.00074679590025699665899866203614
y[1] (numeric) = 0.00074679590025699665899866203613859
absolute error = 1.41e-33
relative error = 1.8880660693434087254764090135567e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.132
y[1] (analytic) = 0.00076398878628282903440316007106
y[1] (numeric) = 0.00076398878628282903440316007106062
absolute error = 6.2e-34
relative error = 8.1153023595620641344798153383427e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.133
y[1] (analytic) = 0.000781442616266534941804076541655
y[1] (numeric) = 0.00078144261626653494180407654165531
absolute error = 3.1e-34
relative error = 3.9670219354182880132401065717785e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.134
y[1] (analytic) = 0.00079915932039215105157021276512
y[1] (numeric) = 0.00079915932039215105157021276511976
absolute error = 2.4e-34
relative error = 3.0031558648684836329789313559629e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.135
y[1] (analytic) = 0.000817140827792217816928369744865
y[1] (numeric) = 0.00081714082779221781692836974486441
absolute error = 5.9e-34
relative error = 7.2202976516799980633118424697917e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.136
y[1] (analytic) = 0.00083538906654006294637371164096
y[1] (numeric) = 0.0008353890665400629463737116409565
absolute error = 3.50e-33
relative error = 4.1896646008260268411991107836935e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.137
y[1] (analytic) = 0.00085390596364208911292969588364
y[1] (numeric) = 0.00085390596364208911292969588363948
absolute error = 5.2e-34
relative error = 6.0896635243310665926593839071050e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.138
y[1] (analytic) = 0.000872693445030065931106722607155
y[1] (numeric) = 0.00087269344503006593110672260715515
absolute error = 1.5e-34
relative error = 1.7188166228844794151413221967284e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.139
y[1] (analytic) = 0.00089175343555342623239158529191
y[1] (numeric) = 0.00089175343555342623239158529190791
absolute error = 2.09e-33
relative error = 2.3436971663618391415038764345090e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.14
y[1] (analytic) = 0.00091108785897156667008261038554
y[1] (numeric) = 0.0009110878589715666700826103855374
absolute error = 2.60e-33
relative error = 2.8537313656389543496428210021129e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.141
y[1] (analytic) = 0.000930698637946152684268056296485
y[1] (numeric) = 0.00093069863794615268426805629648214
absolute error = 2.86e-33
relative error = 3.0729603368834742675232157446339e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.142
y[1] (analytic) = 0.00095058769403342785772790158639
y[1] (numeric) = 0.00095058769403342785772790158639286
absolute error = 2.86e-33
relative error = 3.0086650794570740274836791728106e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.143
y[1] (analytic) = 0.00097075694767652769352158850005
y[1] (numeric) = 0.00097075694767652769352158850005195
absolute error = 1.95e-33
relative error = 2.0087417398013537820107377058293e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=15.2MB, alloc=4.1MB, time=0.61
x[1] = 0.144
y[1] (analytic) = 0.00099120831819779784500660123353
y[1] (numeric) = 0.00099120831819779784500660123352985
absolute error = 1.5e-34
relative error = 1.5133044915596356332541326659915e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.145
y[1] (analytic) = 0.001011943723791116829014948623905
y[1] (numeric) = 0.0010119437237911168290149486239065
absolute error = 1.5e-33
relative error = 1.4822958675808998457293028039659e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.146
y[1] (analytic) = 0.001032965081514223252896688318245
y[1] (numeric) = 0.0010329650815142232528966883182464
absolute error = 1.4e-33
relative error = 1.3553217093725378911283386760221e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.147
y[1] (analytic) = 0.00105427430728104758612157401737
y[1] (numeric) = 0.0010542743072810475861215740173673
absolute error = 2.7e-33
relative error = 2.5610033189210938431490078880623e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.148
y[1] (analytic) = 0.00107587331585404850711172916351
y[1] (numeric) = 0.0010758733158540485071117291635113
absolute error = 1.3e-33
relative error = 1.2083207017436207241218393473509e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.149
y[1] (analytic) = 0.00109776402083655385595994952302
y[1] (numeric) = 0.0010977640208365538559599495230201
absolute error = 1e-34
relative error = 9.1094258968147586404209097633096e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.15
y[1] (analytic) = 0.001119948334665106223669813578745
y[1] (numeric) = 0.0011199483346651062236698135787426
absolute error = 2.4e-33
relative error = 2.1429559969100383780780584456748e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.151
y[1] (analytic) = 0.001142428168601813208535233565855
y[1] (numeric) = 0.0011424281686018132085352335658537
absolute error = 1.3e-33
relative error = 1.1379271237604677360952842822644e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.152
y[1] (analytic) = 0.001165205432726702370258411433225
y[1] (numeric) = 0.0011652054327267023702584114332229
absolute error = 2.1e-33
relative error = 1.8022573024619193042737141258591e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.153
y[1] (analytic) = 0.001188282035930080912386373065115
y[1] (numeric) = 0.0011882820359300809123863730651167
absolute error = 1.7e-33
relative error = 1.4306367921058337191007791778878e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.154
y[1] (analytic) = 0.001211659885904900123627340830005
y[1] (numeric) = 0.001211659885904900123627340830008
absolute error = 3.0e-33
relative error = 2.4759423291128594888586306972273e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.155
y[1] (analytic) = 0.00123534088913912460858916901026
y[1] (numeric) = 0.0012353408891391246085891690102594
absolute error = 6e-34
relative error = 4.8569589598715836611267616590205e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.156
y[1] (analytic) = 0.001259326950908106338462908984585
y[1] (numeric) = 0.0012593269509081063384629089845814
absolute error = 3.6e-33
relative error = 2.8586698612334340811502795605819e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.157
y[1] (analytic) = 0.001283619975266963552155291261075
y[1] (numeric) = 0.0012836199752669635521552912610727
absolute error = 2.3e-33
relative error = 1.7918075788137004365183102784649e-28 %
Correct digits = 29
h = 0.001
memory used=19.0MB, alloc=4.1MB, time=0.77
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.158
y[1] (analytic) = 0.001308221865042964538354509669455
y[1] (numeric) = 0.0013082218650429645383545096694511
absolute error = 3.9e-33
relative error = 2.9811457094641331734853295014844e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.159
y[1] (analytic) = 0.001333134521827916328994169294385
y[1] (numeric) = 0.0013331345218279163289941692943832
absolute error = 1.8e-33
relative error = 1.3502013266687782921955614889275e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.16
y[1] (analytic) = 0.001358359845970558334560614145715
y[1] (numeric) = 0.0013583598459705583345606141457124
absolute error = 2.6e-33
relative error = 1.9140730696012884784152692406667e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.161
y[1] (analytic) = 0.001383899736568960951669083194455
y[1] (numeric) = 0.0013838997365689609516690831944568
absolute error = 1.8e-33
relative error = 1.3006722614621325950660680208302e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.162
y[1] (analytic) = 0.001409756091462929173314254334765
y[1] (numeric) = 0.0014097560914629291733142543347651
absolute error = 1e-34
relative error = 7.0934256362196815890605605485110e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.163
y[1] (analytic) = 0.001435930807226411232180725141135
y[1] (numeric) = 0.0014359308072264112321807251411351
absolute error = 1e-34
relative error = 6.9641238628451852242724605880748e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.164
y[1] (analytic) = 0.001462425779159912307378847057165
y[1] (numeric) = 0.0014624257791599123073788470571651
absolute error = 1e-34
relative error = 6.8379538589264207853306617706174e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.165
y[1] (analytic) = 0.001489242901282913324951075957445
y[1] (numeric) = 0.0014892429012829133249510759574445
absolute error = 5e-34
relative error = 3.3574106653070047338448190777854e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.166
y[1] (analytic) = 0.00151638406632629488247362694892
y[1] (numeric) = 0.0015163840663262948824736269489173
absolute error = 2.7e-33
relative error = 1.7805515502027275596473899750998e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.167
y[1] (analytic) = 0.001543851165724766328057724903665
y[1] (numeric) = 0.0015438511657247663280577249036662
absolute error = 1.2e-33
relative error = 7.7727699835408408945896037253604e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.168
y[1] (analytic) = 0.001571646089609300024034124623555
y[1] (numeric) = 0.0015716460896093000240341246235555
absolute error = 5e-34
relative error = 3.1813778134000665730245765242292e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.169
y[1] (analytic) = 0.001599770726799570825583835811005
y[1] (numeric) = 0.0015997707267995708255838358110053
absolute error = 3e-34
relative error = 1.8752687180379057910870224615551e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.17
y[1] (analytic) = 0.001628226964796400804557128242305
y[1] (numeric) = 0.0016282269647964008045571282423025
absolute error = 2.5e-33
relative error = 1.5354124787588250912846429926224e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=22.8MB, alloc=4.2MB, time=0.93
x[1] = 0.171
y[1] (analytic) = 0.00165701668977420924870191179373
y[1] (numeric) = 0.0016570166897742092487019117937288
absolute error = 1.2e-33
relative error = 7.2419306782209664820480386903828e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.172
y[1] (analytic) = 0.001686141786573467966501484340315
y[1] (numeric) = 0.001686141786573467966501484340318
absolute error = 3.0e-33
relative error = 1.7792098054200527184528601299861e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.173
y[1] (analytic) = 0.00171560413869316192780041811666
y[1] (numeric) = 0.00171560413869316192780041811666
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.174
y[1] (analytic) = 0.00174540562828325527037601198373
y[1] (numeric) = 0.0017454056282832552703760119837273
absolute error = 2.7e-33
relative error = 1.5469183531026331855292370242681e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.175
y[1] (analytic) = 0.001775548136137162702591273270595
y[1] (numeric) = 0.0017755481361371627025912732705921
absolute error = 2.9e-33
relative error = 1.6332984394943896761246918331953e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.176
y[1] (analytic) = 0.00180603354168422633224380854098
y[1] (numeric) = 0.0018060335416842263322438085409785
absolute error = 1.5e-33
relative error = 8.3054935879051664771231278609586e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.177
y[1] (analytic) = 0.00183686372298219795170329785819
y[1] (numeric) = 0.0018368637229821979517032978581922
absolute error = 2.2e-33
relative error = 1.1976936407825837388143924826887e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.178
y[1] (analytic) = 0.001868040556709726809408401974915
y[1] (numeric) = 0.0018680405567097268094084019749135
absolute error = 1.5e-33
relative error = 8.0298042492290690127932234389581e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.179
y[1] (analytic) = 0.00189956591815885289777200644392
y[1] (numeric) = 0.0018995659181588528977720064439202
absolute error = 2e-34
relative error = 1.0528721224575836027208875316993e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.18
y[1] (analytic) = 0.001931441681227505787521641019815
y[1] (numeric) = 0.0019314416812275057875216410198168
absolute error = 1.8e-33
relative error = 9.3194633702635560688560613612146e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.181
y[1] (analytic) = 0.00196366971841200903847972698854
y[1] (numeric) = 0.0019636697184120090384797269885392
absolute error = 8e-34
relative error = 4.0740048720970667684786105101555e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.182
y[1] (analytic) = 0.00199625190079959021676599930953
y[1] (numeric) = 0.0019962519007995902167659993095276
absolute error = 2.4e-33
relative error = 1.2022530819074938376414300618675e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.183
y[1] (analytic) = 0.00202919009806089654838202477424
y[1] (numeric) = 0.0020291900980608965483820247742371
absolute error = 2.9e-33
relative error = 1.4291416081574877707263840857739e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=26.7MB, alloc=4.2MB, time=1.09
x[1] = 0.184
y[1] (analytic) = 0.002062486178442516239115191863785
y[1] (numeric) = 0.0020624861784425162391151918637862
absolute error = 1.2e-33
relative error = 5.8182208081810198728138981767717e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.185
y[1] (analytic) = 0.00209614200875950549067688271821
y[1] (numeric) = 0.002096142008759505490676882718211
absolute error = 1.0e-33
relative error = 4.7706691427447651208384034851808e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.186
y[1] (analytic) = 0.00213015945438792124296675270066
y[1] (numeric) = 0.0021301594543879212429667527006609
absolute error = 9e-34
relative error = 4.2250358213611077645638748294326e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.187
y[1] (analytic) = 0.002164540379257359672332138543075
y[1] (numeric) = 0.0021645403792573596723321385430746
absolute error = 4e-34
relative error = 1.8479673737351922702177635427319e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.188
y[1] (analytic) = 0.00219928664584350047566859208704
y[1] (numeric) = 0.0021992866458435004756685920870361
absolute error = 3.9e-33
relative error = 1.7733022693384375515583754769233e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.189
y[1] (analytic) = 0.002234400115160656970184393276725
y[1] (numeric) = 0.0022344001151606569701843932767236
absolute error = 1.4e-33
relative error = 6.2656638374695829406893035591062e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.19
y[1] (analytic) = 0.0022698826467543320386286334127
y[1] (numeric) = 0.0022698826467543320386286334126986
absolute error = 1.4e-33
relative error = 6.1677197365327984438236708689624e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.191
y[1] (analytic) = 0.0023057360986937799497590778288
y[1] (numeric) = 0.0023057360986937799497590778287988
absolute error = 1.2e-33
relative error = 5.2044117307258653548353536877319e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.192
y[1] (analytic) = 0.00234196232756457408380251620311
y[1] (numeric) = 0.0023419623275645740838025162031115
absolute error = 1.5e-33
relative error = 6.4048852637175524345556329950574e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.193
y[1] (analytic) = 0.00237856318846118059263668875193
y[1] (numeric) = 0.0023785631884611805926366887519291
absolute error = 9e-34
relative error = 3.7837968920315209666467108197747e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.194
y[1] (analytic) = 0.002415540534979538024399137677195
y[1] (numeric) = 0.002415540534979538024399137677196
absolute error = 1.0e-33
relative error = 4.1398601493908317781004728411745e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.195
y[1] (analytic) = 0.00245289621920964294220447553821
y[1] (numeric) = 0.0024528962192096429422044755382092
absolute error = 8e-34
relative error = 3.2614506628322459357947711973396e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.196
y[1] (analytic) = 0.00249063209172814156662758579266
y[1] (numeric) = 0.0024906320917281415666275857926586
absolute error = 1.4e-33
relative error = 5.6210630411840583447616944554644e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=30.5MB, alloc=4.2MB, time=1.25
x[1] = 0.197
y[1] (analytic) = 0.002528750001590927471586175696395
y[1] (numeric) = 0.0025287500015909274715861756963958
absolute error = 8e-34
relative error = 3.1636183865415373600537559349317e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.198
y[1] (analytic) = 0.002567251796325745363231888161985
y[1] (numeric) = 0.0025672517963257453632318881619826
absolute error = 2.4e-33
relative error = 9.3485181447136724726904612279252e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.199
y[1] (analytic) = 0.002606139321924800971434847149945
y[1] (numeric) = 0.0026061393219248009714348471499448
absolute error = 2e-34
relative error = 7.6741868064170559308532912401691e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.2
y[1] (analytic) = 0.002645414422837377083422060801075
y[1] (numeric) = 0.0026454144228373770834220608010733
absolute error = 1.7e-33
relative error = 6.4262143024707663024723227521894e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.201
y[1] (analytic) = 0.00268507894196245574910553791087
y[1] (numeric) = 0.0026850789419624557491055379108723
absolute error = 2.3e-33
relative error = 8.5658561618266188960583240215896e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.202
y[1] (analytic) = 0.002725134720641346687611286596635
y[1] (numeric) = 0.0027251347206413466876112865966309
absolute error = 4.1e-33
relative error = 1.5045127747060834172166679187070e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.203
y[1] (analytic) = 0.002765583598650321924495559212335
y[1] (numeric) = 0.0027655835986503219244955592123334
absolute error = 1.6e-33
relative error = 5.7853973417431402002211717634981e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.204
y[1] (analytic) = 0.002806427414193256689109784825945
y[1] (numeric) = 0.0028064274141932566891097848259458
absolute error = 8e-34
relative error = 2.8505992920182836479539355823939e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.205
y[1] (analytic) = 0.002847668003894276601550589987215
y[1] (numeric) = 0.0028476680038942766015505899872136
absolute error = 1.4e-33
relative error = 4.9163034387627190221274528749482e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.206
y[1] (analytic) = 0.00288930720279041117860615018214
y[1] (numeric) = 0.0028893072027904111786061501821382
absolute error = 1.8e-33
relative error = 6.2298671399898595384184727867408e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.207
y[1] (analytic) = 0.0029313468443242536880848383934
y[1] (numeric) = 0.0029313468443242536880848383934017
absolute error = 1.7e-33
relative error = 5.7993819574492935751974075290507e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.208
y[1] (analytic) = 0.00297378876033662738088674366528
y[1] (numeric) = 0.002973788760336627380886743665287
absolute error = 7.0e-33
relative error = 2.3538995416767978376563751723349e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.209
y[1] (analytic) = 0.00301663478105925813015312160866
y[1] (numeric) = 0.0030166347810592581301531216086621
absolute error = 2.1e-33
relative error = 6.9613995475534764377442196619869e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.21
y[1] (analytic) = 0.00305988673510745350680321047842
y[1] (numeric) = 0.0030598867351074535068032104784139
absolute error = 6.1e-33
relative error = 1.9935378424344806239651576506788e-28 %
Correct digits = 29
h = 0.001
memory used=34.3MB, alloc=4.2MB, time=1.42
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.211
y[1] (analytic) = 0.00310354644947278832074210091484
y[1] (numeric) = 0.0031035464494727883207421009148362
absolute error = 3.8e-33
relative error = 1.2244057119381992789197343893627e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.212
y[1] (analytic) = 0.00314761574951579665699748476488
y[1] (numeric) = 0.0031476157495157966569974847648817
absolute error = 1.7e-33
relative error = 5.4009133747075513621065063560812e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.213
y[1] (analytic) = 0.00319209645895867043601712869233
y[1] (numeric) = 0.0031920964589586704360171286923326
absolute error = 2.6e-33
relative error = 8.1451172714504220893339866283889e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.214
y[1] (analytic) = 0.00323699039987796452733282165174
y[1] (numeric) = 0.0032369903998779645273328216517445
absolute error = 4.5e-33
relative error = 1.3901802118936315965753242528112e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.215
y[1] (analytic) = 0.00328229939269730844577033184386
y[1] (numeric) = 0.003282299392697308445770331843858
absolute error = 2.0e-33
relative error = 6.0932893704021677067952186903586e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.216
y[1] (analytic) = 0.00332802525618012465935857859492
y[1] (numeric) = 0.0033280252561801246593585785949152
absolute error = 4.8e-33
relative error = 1.4422967467228279922051662757847e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.217
y[1] (analytic) = 0.00337416980742235353806477781427
y[1] (numeric) = 0.0033741698074223535380647778142706
absolute error = 6e-34
relative error = 1.7782151884595310539786332088180e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.218
y[1] (analytic) = 0.00342073486184518497245575638965
y[1] (numeric) = 0.0034207348618451849724557563896482
absolute error = 1.8e-33
relative error = 5.2620272330286909243128287726047e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.219
y[1] (analytic) = 0.00346772223318779669135895118362
y[1] (numeric) = 0.0034677222331877966913589511836131
absolute error = 6.9e-33
relative error = 1.9897787469721846475188152758218e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.22
y[1] (analytic) = 0.00351513373350009930756981230502
y[1] (numeric) = 0.0035151337335000993075698123050202
absolute error = 2e-34
relative error = 5.6896839540968306579831349046222e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.221
y[1] (analytic) = 0.00356297117313548812062541815256
y[1] (numeric) = 0.0035629711731354881206254181525549
absolute error = 5.1e-33
relative error = 1.4313896330269477902224026426844e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.222
y[1] (analytic) = 0.00361123636074360170563708147164
y[1] (numeric) = 0.0036112363607436017056370814716455
absolute error = 5.5e-33
relative error = 1.5230240977268728771893292165126e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.223
y[1] (analytic) = 0.00365993110326308731714758143911
y[1] (numeric) = 0.0036599311032630873171475814391077
absolute error = 2.3e-33
relative error = 6.2842713021274837705314427336432e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=38.1MB, alloc=4.3MB, time=1.57
x[1] = 0.224
y[1] (analytic) = 0.00370905720591437313695139670047
y[1] (numeric) = 0.003709057205914373136951396700467
absolute error = 3.0e-33
relative error = 8.0883087896737542281595666666528e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.225
y[1] (analytic) = 0.00375861647219244739478893844202
y[1] (numeric) = 0.0037586164721924473947889384420254
absolute error = 5.4e-33
relative error = 1.4366988597935115544655390855044e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.226
y[1] (analytic) = 0.0038086107038596443907982910929
y[1] (numeric) = 0.0038086107038596443907982910929016
absolute error = 1.6e-33
relative error = 4.2010069403485126812722476369644e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.227
y[1] (analytic) = 0.00385904170093843744858036123144
y[1] (numeric) = 0.0038590417009384374485803612314466
absolute error = 6.6e-33
relative error = 1.7102691578572523264298380253173e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.228
y[1] (analytic) = 0.00390991126170423882770561282605
y[1] (numeric) = 0.0039099112617042388277056128260452
absolute error = 4.8e-33
relative error = 1.2276493451433965074693932223642e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.229
y[1] (analytic) = 0.00396122118267820662446272918325
y[1] (numeric) = 0.003961221182678206624462729183246
absolute error = 4.0e-33
relative error = 1.0097896117215991389235089417491e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.23
y[1] (analytic) = 0.00401297325862005868962158901778
y[1] (numeric) = 0.0040129732586200586896215890177752
absolute error = 4.8e-33
relative error = 1.1961206045142140404802900703726e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.231
y[1] (analytic) = 0.00406516928252089359195487601109
y[1] (numeric) = 0.0040651692825208935919548760110874
absolute error = 2.6e-33
relative error = 6.3957976145772888399795815329966e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.232
y[1] (analytic) = 0.00411781104559601865623445819997
y[1] (numeric) = 0.0041178110455960186562344581999691
absolute error = 9e-34
relative error = 2.1856272423246476060681504605360e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.233
y[1] (analytic) = 0.00417090033727778510439037564706
y[1] (numeric) = 0.0041709003372777851043903756470609
absolute error = 9e-34
relative error = 2.1578074929198657619051424314538e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.234
y[1] (analytic) = 0.0042244389452084303284918622042
y[1] (numeric) = 0.0042244389452084303284918622042053
absolute error = 5.3e-33
relative error = 1.2546044738110192707250049560133e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.235
y[1] (analytic) = 0.0042784286552329273241812999009
y[1] (numeric) = 0.004278428655232927324181299900898
absolute error = 2.0e-33
relative error = 4.6746134180683573429711281058126e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.236
y[1] (analytic) = 0.00433287125139184131316336268794
y[1] (numeric) = 0.0043328712513918413131633626879366
absolute error = 3.4e-33
relative error = 7.8469906044584718026666385424720e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=41.9MB, alloc=4.3MB, time=1.74
x[1] = 0.237
y[1] (analytic) = 0.0043877685159141935833228500552
y[1] (numeric) = 0.0043877685159141935833228500551914
absolute error = 8.6e-33
relative error = 1.9599940080722754478466582031327e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.238
y[1] (analytic) = 0.00444312222921033257501584053728
y[1] (numeric) = 0.0044431222292103325750158405372838
absolute error = 3.8e-33
relative error = 8.5525443685022515548796746008349e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.239
y[1] (analytic) = 0.00449893416986481224204981043734
y[1] (numeric) = 0.0044989341698648122420498104373417
absolute error = 1.7e-33
relative error = 3.7786727607332005701588148551343e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.24
y[1] (analytic) = 0.00455520611462927771583926435284
y[1] (numeric) = 0.0045552061146292777158392643528404
absolute error = 4e-34
relative error = 8.7811613774265782490115955570971e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.241
y[1] (analytic) = 0.00461193983841535830119421139522
y[1] (numeric) = 0.0046119398384153583011942113952254
absolute error = 5.4e-33
relative error = 1.1708739032154017887359560178261e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.242
y[1] (analytic) = 0.00466913711428756783216949447341
y[1] (numeric) = 0.0046691371142875678321694944734093
absolute error = 7e-34
relative error = 1.4992063476953777204107385830102e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.243
y[1] (analytic) = 0.00472679971345621241637353977764
y[1] (numeric) = 0.0047267997134562124163735397776343
absolute error = 5.7e-33
relative error = 1.2058898928535705566293461437592e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.244
y[1] (analytic) = 0.00478492940527030559610553977236
y[1] (numeric) = 0.0047849294052703055961055397723622
absolute error = 2.2e-33
relative error = 4.5977689818721990768011079028665e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.245
y[1] (analytic) = 0.00484352795721049095466041570301
y[1] (numeric) = 0.0048435279572104909546604157030103
absolute error = 3e-34
relative error = 6.1938323191341196014364045067030e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.246
y[1] (analytic) = 0.00490259713488197219611112496016
y[1] (numeric) = 0.0049025971348819721961111249601584
absolute error = 1.6e-33
relative error = 3.2635763371540404467474136467490e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.247
y[1] (analytic) = 0.00496213870200745072684798474544
y[1] (numeric) = 0.0049621387020074507268479847454397
absolute error = 3e-34
relative error = 6.0457802172807854219102178986652e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.248
y[1] (analytic) = 0.00502215442042007076712467646526
y[1] (numeric) = 0.0050221544204200707671246764652627
absolute error = 2.7e-33
relative error = 5.3761787750328920506933615194891e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.249
y[1] (analytic) = 0.00508264605005637202083047526184
y[1] (numeric) = 0.0050826460500563720208304752618316
absolute error = 8.4e-33
relative error = 1.6526824644629414927854623814493e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.25
y[1] (analytic) = 0.0051436153489492499316780161961
y[1] (numeric) = 0.0051436153489492499316780161961065
absolute error = 6.5e-33
relative error = 1.2637025825284224596869218216268e-28 %
Correct digits = 29
h = 0.001
memory used=45.7MB, alloc=4.3MB, time=1.90
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.251
y[1] (analytic) = 0.00520506407322092355396556294532
y[1] (numeric) = 0.0052050640732209235539655629453154
absolute error = 4.6e-33
relative error = 8.8375473102552867728895679434232e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.252
y[1] (analytic) = 0.00526699397707591106604228658978
y[1] (numeric) = 0.0052669939770759110660422865897728
absolute error = 7.2e-33
relative error = 1.3670036516725314826608998663730e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.253
y[1] (analytic) = 0.00532940681279401295457449126191
y[1] (numeric) = 0.0053294068127940129545744912619076
absolute error = 2.4e-33
relative error = 4.5033154426088329171507854742385e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.254
y[1] (analytic) = 0.00539230433072330289768004023684
y[1] (numeric) = 0.0053923043307233028976800402368459
absolute error = 5.9e-33
relative error = 1.0941518946517984759395521807492e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.255
y[1] (analytic) = 0.00545568827927312637496744058136
y[1] (numeric) = 0.0054556882792731263749674405813558
absolute error = 4.2e-33
relative error = 7.6983870503678693501536722301330e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.256
y[1] (analytic) = 0.00551956040490710703248513686963
y[1] (numeric) = 0.0055195604049071070324851368696303
absolute error = 3e-34
relative error = 5.4352154518191006720945766786044e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.257
y[1] (analytic) = 0.00558392245213616083055554484388
y[1] (numeric) = 0.0055839224521361608305555448438878
absolute error = 7.8e-33
relative error = 1.3968675365497001633588078583138e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.258
y[1] (analytic) = 0.00564877616351151800243722436919
y[1] (numeric) = 0.0056487761635115180024372243691879
absolute error = 2.1e-33
relative error = 3.7176194262485190169967684358458e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.259
y[1] (analytic) = 0.00571412327961775285172734772972
y[1] (numeric) = 0.0057141232796177528517273477297159
absolute error = 4.1e-33
relative error = 7.1752039628278200628995823632786e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.26
y[1] (analytic) = 0.00577996553906582141638526436306
y[1] (numeric) = 0.0057799655390658214163852643630614
absolute error = 1.4e-33
relative error = 2.4221597698768857682691622345486e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.261
y[1] (analytic) = 0.00584630467848610702722649665512
y[1] (numeric) = 0.005846304678486107027226496655118
absolute error = 2.0e-33
relative error = 3.4209643697835765069164840409221e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.262
y[1] (analytic) = 0.00591314243252147378870492354704
y[1] (numeric) = 0.0059131424325214737887049235470338
absolute error = 6.2e-33
relative error = 1.0485118650112077234757432852899e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.263
y[1] (analytic) = 0.00598048053382032800976921956346
y[1] (numeric) = 0.0059804805338203280097692195634543
absolute error = 5.7e-33
relative error = 9.5310066938029857888972225873136e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=49.5MB, alloc=4.3MB, time=2.06
x[1] = 0.264
y[1] (analytic) = 0.00604832071302968761254781658488
y[1] (numeric) = 0.0060483207130296876125478165848763
absolute error = 3.7e-33
relative error = 6.1174004745304234307576988883611e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.265
y[1] (analytic) = 0.00611666469878825954658474438348
y[1] (numeric) = 0.0061166646987882595465847443834793
absolute error = 7e-34
relative error = 1.1444145371229411005818845244335e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.266
y[1] (analytic) = 0.00618551421771952523631668374896
y[1] (numeric) = 0.006185514217719525236316683748959
absolute error = 1.0e-33
relative error = 1.6166804647143465787264625205403e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.267
y[1] (analytic) = 0.00625487099442483408944943307675
y[1] (numeric) = 0.0062548709944248340894494330767483
absolute error = 1.7e-33
relative error = 2.7178817940693967832752613023511e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.268
y[1] (analytic) = 0.0063247367514765050938597457041
y[1] (numeric) = 0.0063247367514765050938597457041046
absolute error = 4.6e-33
relative error = 7.2730299785617692608089831709542e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.269
y[1] (analytic) = 0.00639511320941093653061614118884
y[1] (numeric) = 0.0063951132094109365306161411888454
absolute error = 5.4e-33
relative error = 8.4439474692229914396645293647647e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.27
y[1] (analytic) = 0.00646600208672172383067982926044
y[1] (numeric) = 0.0064660020867217238306798292604384
absolute error = 1.6e-33
relative error = 2.4744811067810886593439755132818e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.271
y[1] (analytic) = 0.00653740509985278560281431046356
y[1] (numeric) = 0.0065374050998527856028143104635604
absolute error = 4e-34
relative error = 6.1186356649216600117086675340231e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.272
y[1] (analytic) = 0.00660932396319149786019953269043
y[1] (numeric) = 0.006609323963191497860199532690428
absolute error = 2.0e-33
relative error = 3.0260280947618185462139137408821e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.273
y[1] (analytic) = 0.00668176038906183647321368799091
y[1] (numeric) = 0.0066817603890618364732136879909105
absolute error = 5e-34
relative error = 7.4830579201629126376868301501518e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.274
y[1] (analytic) = 0.00675471608771752787581282938984
y[1] (numeric) = 0.0067547160877175278758128293898422
absolute error = 2.2e-33
relative error = 3.2569836710093280083384806990443e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.275
y[1] (analytic) = 0.00682819276733520805290547306068
y[1] (numeric) = 0.0068281927673352080529054730606771
absolute error = 2.9e-33
relative error = 4.2470974367815967574186406220431e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.276
y[1] (analytic) = 0.00690219213400758983608622723573
y[1] (numeric) = 0.0069021921340075898360862272357285
absolute error = 1.5e-33
relative error = 2.1732226093930270177865529535776e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=53.4MB, alloc=4.3MB, time=2.22
x[1] = 0.277
y[1] (analytic) = 0.0069767158917366385350592558082
y[1] (numeric) = 0.0069767158917366385350592558082059
absolute error = 5.9e-33
relative error = 8.4567009629675155409313788049553e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.278
y[1] (analytic) = 0.00705176574242675593204904183304
y[1] (numeric) = 0.007051765742426755932049041833039
absolute error = 1.0e-33
relative error = 1.4180845429727299652461048964471e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.279
y[1] (analytic) = 0.00712734338587797266646246419543
y[1] (numeric) = 0.0071273433858779726664624641954275
absolute error = 2.5e-33
relative error = 3.5076182872758286528645959115922e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.28
y[1] (analytic) = 0.00720345051977914903703263972199
y[1] (numeric) = 0.0072034505197791490370326397219914
absolute error = 1.4e-33
relative error = 1.9435130374754384688778385541644e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.281
y[1] (analytic) = 0.00728008883970118424864131309356
y[1] (numeric) = 0.0072800888397011842486413130935575
absolute error = 2.5e-33
relative error = 3.4340240277927900217833999506405e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.282
y[1] (analytic) = 0.00735726003909023413098279821568
y[1] (numeric) = 0.0073572600390902341309827982156856
absolute error = 5.6e-33
relative error = 7.6115292517137547749685378439656e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.283
y[1] (analytic) = 0.00743496580926093735619858734813
y[1] (numeric) = 0.0074349658092609373561985873481289
absolute error = 1.1e-33
relative error = 1.4794957074716447161519408748742e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.284
y[1] (analytic) = 0.00751320783938965018257774842308
y[1] (numeric) = 0.0075132078393896501825777484230827
absolute error = 2.7e-33
relative error = 3.5936713820755152531392451433831e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.285
y[1] (analytic) = 0.00759198781650768975138412673029
y[1] (numeric) = 0.0075919878165076897513841267302927
absolute error = 2.7e-33
relative error = 3.5563808389276347985194865911778e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.286
y[1] (analytic) = 0.00767130742549458596383715465128
y[1] (numeric) = 0.0076713074254945859638371546512788
absolute error = 1.2e-33
relative error = 1.5642705127576520974513958441899e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.287
y[1] (analytic) = 0.00775116834907134196523875252194
y[1] (numeric) = 0.0077511683490713419652387525219395
absolute error = 5e-34
relative error = 6.4506404387398499831050089743732e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.288
y[1] (analytic) = 0.00783157226779370326320437512992
y[1] (numeric) = 0.0078315722677937032632043751299142
absolute error = 5.8e-33
relative error = 7.4059202950239336525818456415934e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.289
y[1] (analytic) = 0.00791252086004543550692172194801
y[1] (numeric) = 0.0079125208600454355069217219480088
absolute error = 1.2e-33
relative error = 1.5165836794939069837388060988813e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.29
y[1] (analytic) = 0.00799401580203161095432598510588
y[1] (numeric) = 0.0079940158020316109543259851058837
absolute error = 3.7e-33
relative error = 4.6284622042649409679840200803158e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=57.2MB, alloc=4.3MB, time=2.38
TOP MAIN SOLVE Loop
x[1] = 0.291
y[1] (analytic) = 0.00807605876777190365404575744764
y[1] (numeric) = 0.0080760587677719036540457574476377
absolute error = 2.3e-33
relative error = 2.8479238031034596618284549962698e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.292
y[1] (analytic) = 0.0081586514290938933689388639519
y[1] (numeric) = 0.0081586514290938933689388639518975
absolute error = 2.5e-33
relative error = 3.0642319036758408058413359201112e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.293
y[1] (analytic) = 0.00824179545562637826800241344299
y[1] (numeric) = 0.0082417954556263782680024134429883
absolute error = 1.7e-33
relative error = 2.0626573531856713932036204318029e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.294
y[1] (analytic) = 0.00832549251479269641340629403656
y[1] (numeric) = 0.0083254925147926964134062940365672
absolute error = 7.2e-33
relative error = 8.6481370167675647500032265443294e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.295
y[1] (analytic) = 0.00840974427180405606936415528106
y[1] (numeric) = 0.0084097442718040560693641552810564
absolute error = 3.6e-33
relative error = 4.2807484789638305761589972167000e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.296
y[1] (analytic) = 0.00849455238965287485952063261803
y[1] (numeric) = 0.0084945523896528748595206326180264
absolute error = 3.6e-33
relative error = 4.2380102386384975723765458761340e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.297
y[1] (analytic) = 0.00857991852910612779949817573151
y[1] (numeric) = 0.0085799185291061277994981757315093
absolute error = 7e-34
relative error = 8.1585856278862280628416666670681e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.298
y[1] (analytic) = 0.00866584434869870423121134172964
y[1] (numeric) = 0.0086658443486987042312113417296402
absolute error = 2e-34
relative error = 2.3079112888755352725615609348151e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.299
y[1] (analytic) = 0.00875233150472677368552080704404
y[1] (numeric) = 0.008752331504726773685520807044034
absolute error = 6.0e-33
relative error = 6.8553162054701049376454214465733e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.3
y[1] (analytic) = 0.00883938165124116069976363858534
y[1] (numeric) = 0.0088393816512411606997636385853348
absolute error = 5.2e-33
relative error = 5.8827644343989315110131913594165e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.301
y[1] (analytic) = 0.00892699644004072861666054520028
y[1] (numeric) = 0.0089269964400407286166605452002779
absolute error = 2.1e-33
relative error = 2.3524149629776473163628093452008e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.302
y[1] (analytic) = 0.00901517752066577239106490497966
y[1] (numeric) = 0.0090151775206657723910649049796584
absolute error = 1.6e-33
relative error = 1.7747847963418026273667739867668e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.303
y[1] (analytic) = 0.0091039265403914204309823326115
y[1] (numeric) = 0.0091039265403914204309823326115069
absolute error = 6.9e-33
relative error = 7.5791472716599234453454083361862e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=61.0MB, alloc=4.3MB, time=2.54
x[1] = 0.304
y[1] (analytic) = 0.00919324514422104549925341390366
y[1] (numeric) = 0.0091932451442210454992534139036593
absolute error = 7e-34
relative error = 7.6142862397183668853857612276420e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.305
y[1] (analytic) = 0.00928313497487968470225599195932
y[1] (numeric) = 0.009283134974879684702255991959319
absolute error = 1.0e-33
relative error = 1.0772222990466220514741873825938e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.306
y[1] (analytic) = 0.00937359767280746859194704142312
y[1] (numeric) = 0.0093735976728074685919470414231196
absolute error = 4e-34
relative error = 4.2673049768328359782570565305095e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.307
y[1] (analytic) = 0.009464634876153059407527713869
y[1] (numeric) = 0.0094646348761530594075277138689952
absolute error = 4.8e-33
relative error = 5.0715110121088793208314292307036e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.308
y[1] (analytic) = 0.00955624822076709848297857892066
y[1] (numeric) = 0.0095562482207670984829785789206666
absolute error = 6.6e-33
relative error = 6.9064761060279420678692001008689e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.309
y[1] (analytic) = 0.009648439340195662846675422227
y[1] (numeric) = 0.0096484393401956628466754222269903
absolute error = 9.7e-33
relative error = 1.0053439378107020925977111836127e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.31
y[1] (analytic) = 0.00974120986567373103925919310444
y[1] (numeric) = 0.0097412098656737310392591931044455
absolute error = 5.5e-33
relative error = 5.6461159094631656886636141821533e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.311
y[1] (analytic) = 0.00983456142611865817589682165473
y[1] (numeric) = 0.0098345614261186581758968216547271
absolute error = 2.9e-33
relative error = 2.9487842663712193318745705352561e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.312
y[1] (analytic) = 0.00992849564812366027903264761426
y[1] (numeric) = 0.0099284956481236602790326476142602
absolute error = 2e-34
relative error = 2.0144038642732049728607114619855e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.313
y[1] (analytic) = 0.01002301415595130790769312124236
y[1] (numeric) = 0.010023014155951307907693121242366
absolute error = 6e-33
relative error = 5.9862232125427202412937219072546e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.314
y[1] (analytic) = 0.01011811857152702910937025035412
y[1] (numeric) = 0.010118118571527029109370250354114
absolute error = 6e-33
relative error = 5.9299562043919380812912126725898e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.315
y[1] (analytic) = 0.01021381051443262172047197730134
y[1] (numeric) = 0.010213810514432621720471977301346
absolute error = 6e-33
relative error = 5.8743991691658092693588748088499e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.316
y[1] (analytic) = 0.0103100916018997750412902754501
y[1] (numeric) = 0.010310091601899775041290275450096
absolute error = 4e-33
relative error = 3.8796939488519630871297137666521e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.317
y[1] (analytic) = 0.01040696344880360091140025664426
y[1] (numeric) = 0.010406963448803600911400256644256
memory used=64.8MB, alloc=4.3MB, time=2.71
absolute error = 4e-33
relative error = 3.8435803293417405057749443471157e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.318
y[1] (analytic) = 0.01050442766765617421136597943383
y[1] (numeric) = 0.010504427667656174211365979433827
absolute error = 3e-33
relative error = 2.8559385574496342304487204871804e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.319
y[1] (analytic) = 0.01060248586860008281659094263186
y[1] (numeric) = 0.010602485868600082816590942631854
absolute error = 6e-33
relative error = 5.6590502212027189097717244416159e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.32
y[1] (analytic) = 0.01070113965940198702911344019802
y[1] (numeric) = 0.010701139659401987029113440198019
absolute error = 1e-33
relative error = 9.3447990758760278676432676325975e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.321
y[1] (analytic) = 0.01080039064544618851310904168004
y[1] (numeric) = 0.010800390645446188513109041680044
absolute error = 4e-33
relative error = 3.7035697423468065421504614282226e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.322
y[1] (analytic) = 0.01090024042972820875982444762822
y[1] (numeric) = 0.010900240429728208759824447628226
absolute error = 6e-33
relative error = 5.5044657397062631186290818820742e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.323
y[1] (analytic) = 0.01100069061284837710762885168564
y[1] (numeric) = 0.01100069061284837710762885168565
absolute error = 1.0e-32
relative error = 9.0903383723203618286000104396162e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.324
y[1] (analytic) = 0.01110174279300542834283072059931
y[1] (numeric) = 0.011101742793005428342830720599313
absolute error = 3e-33
relative error = 2.7022784223483613818487998094953e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.325
y[1] (analytic) = 0.01120339856599010990686958034852
y[1] (numeric) = 0.011203398565990109906869580348515
absolute error = 5e-33
relative error = 4.4629314672231521507618849265046e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.326
y[1] (analytic) = 0.01130565952517879873545397109964
y[1] (numeric) = 0.011305659525178798735453971099647
absolute error = 7e-33
relative error = 6.1915892517462798501653415076375e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.327
y[1] (analytic) = 0.01140852726152712775517820592468
y[1] (numeric) = 0.011408527261527127755178205924677
absolute error = 3e-33
relative error = 2.6296119834125063531453182063873e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.328
y[1] (analytic) = 0.0115120033635636220631119383183
y[1] (numeric) = 0.011512003363563622063111938318299
absolute error = 1e-33
relative error = 8.6865853702325789385049134050324e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.329
y[1] (analytic) = 0.01161608941738334481481781167038
y[1] (numeric) = 0.011616089417383344814817811670374
absolute error = 6e-33
relative error = 5.1652494952570429571059571388088e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.33
y[1] (analytic) = 0.01172078700664155284621363015092
y[1] (numeric) = 0.011720787006641552846213630150926
absolute error = 6e-33
relative error = 5.1191101728920727986224393954654e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=68.6MB, alloc=4.3MB, time=2.87
x[1] = 0.331
y[1] (analytic) = 0.01182609771254736205465655509984
y[1] (numeric) = 0.011826097712547362054656555099836
absolute error = 4e-33
relative error = 3.3823498648721996986317671710638e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.332
y[1] (analytic) = 0.01193202311385742256458779413828
y[1] (numeric) = 0.011932023113857422564587794138287
absolute error = 7e-33
relative error = 5.8665659068917254463911612476162e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.333
y[1] (analytic) = 0.0120385647868696037030371119901
y[1] (numeric) = 0.012038564786869603703037111990098
absolute error = 2e-33
relative error = 1.6613276045840522308168050449965e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.334
y[1] (analytic) = 0.01214572430541668881024725257488
y[1] (numeric) = 0.012145724305416688810247252574874
absolute error = 6e-33
relative error = 4.9400100390259560641516463769621e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.335
y[1] (analytic) = 0.01225350324086007991063902146835
y[1] (numeric) = 0.012253503240860079910639021468353
absolute error = 3e-33
relative error = 2.4482794357097084377737056085175e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.336
y[1] (analytic) = 0.01236190316208351226929833647586
y[1] (numeric) = 0.012361903162083512269298336475868
absolute error = 8e-33
relative error = 6.4714954445992084474854643876283e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.337
y[1] (analytic) = 0.01247092563548677885912701199011
y[1] (numeric) = 0.012470925635486778859127011990114
absolute error = 4e-33
relative error = 3.2074603898027875691648062581647e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.338
y[1] (analytic) = 0.01258057222497946476375940016271
y[1] (numeric) = 0.012580572224979464763759400162716
absolute error = 6e-33
relative error = 4.7692584190142382691441467456641e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.339
y[1] (analytic) = 0.0126908444919746915413072688689
y[1] (numeric) = 0.012690844491974691541307268868905
absolute error = 5e-33
relative error = 3.9398481347414269051760229541730e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.34
y[1] (analytic) = 0.01280174399538287157395545314494
y[1] (numeric) = 0.01280174399538287157395545314494
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.341
y[1] (analytic) = 0.01291327229160547242839087338814
y[1] (numeric) = 0.012913272291605472428390873388136
absolute error = 4e-33
relative error = 3.0975882097679292050852390555427e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.342
y[1] (analytic) = 0.01302543093452879125200747028924
y[1] (numeric) = 0.013025430934528791252007470289245
absolute error = 5e-33
relative error = 3.8386445908254937065259697214425e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.343
y[1] (analytic) = 0.01313822147551773922978946337664
y[1] (numeric) = 0.013138221475517739229789463376644
absolute error = 4e-33
relative error = 3.0445521164746323422868423869995e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=72.4MB, alloc=4.3MB, time=3.03
x[1] = 0.344
y[1] (analytic) = 0.0132516454634096361267350973519
y[1] (numeric) = 0.013251645463409636126735097351905
absolute error = 5e-33
relative error = 3.7731163377453539437244358616076e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.345
y[1] (analytic) = 0.01336570444450801494064269824782
y[1] (numeric) = 0.013365704444508014940642698247821
absolute error = 1e-33
relative error = 7.4818353507053740038853853319100e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.346
y[1] (analytic) = 0.0134803999625764366900404200042
y[1] (numeric) = 0.013480399962576436690040420004199
absolute error = 1e-33
relative error = 7.4181775227452179584414992508278e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.347
y[1] (analytic) = 0.01359573355883231536200052149549
y[1] (numeric) = 0.013595733558832315362000521495492
absolute error = 2e-33
relative error = 1.4710497166963988485164069293177e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.348
y[1] (analytic) = 0.01371170677194075304453837451974
y[1] (numeric) = 0.013711706771940753044538374519748
absolute error = 8e-33
relative error = 5.8344304856131933801483043259587e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.349
y[1] (analytic) = 0.01382832113800838526825566493304
y[1] (numeric) = 0.013828321138008385268255664933035
absolute error = 5e-33
relative error = 3.6157679230178202718577381612670e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.35
y[1] (analytic) = 0.01394557819057723658184641215032
y[1] (numeric) = 0.013945578190577236581846412150321
absolute error = 1e-33
relative error = 7.1707317282526233735057377436796e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.351
y[1] (analytic) = 0.01406347946061858638604349679616
y[1] (numeric) = 0.014063479460618586386043496796163
absolute error = 3e-33
relative error = 2.1331847558783607702654635834352e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.352
y[1] (analytic) = 0.01418202647652684505054235254022
y[1] (numeric) = 0.014182026476526845050542352540213
absolute error = 7e-33
relative error = 4.9358249412282076647401134548907e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.353
y[1] (analytic) = 0.0143012207641134403383973462576
y[1] (numeric) = 0.014301220764113440338397346257595
absolute error = 5e-33
relative error = 3.4962050320534013761943880253596e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.354
y[1] (analytic) = 0.0144210638466007141623451407772
y[1] (numeric) = 0.014421063846600714162345140777201
absolute error = 1e-33
relative error = 6.9343011766480509538700326758726e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.355
y[1] (analytic) = 0.01454155724461582969746800678679
y[1] (numeric) = 0.014541557244615829697468006786792
absolute error = 2e-33
relative error = 1.3753685154597330568550909028298e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.356
y[1] (analytic) = 0.01466270247618468887456862511782
y[1] (numeric) = 0.014662702476184688874568625117819
absolute error = 1e-33
relative error = 6.8200251735599915084961526828293e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.357
y[1] (analytic) = 0.01478450105672586027858639780073
y[1] (numeric) = 0.014784501056725860278586397800732
absolute error = 2e-33
relative error = 1.3527680050387274590350452813256e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=76.2MB, alloc=4.3MB, time=3.20
x[1] = 0.358
y[1] (analytic) = 0.01490695449904451747634366612941
y[1] (numeric) = 0.014906954499044517476343666129414
absolute error = 4e-33
relative error = 2.6833113365016212458122293978306e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.359
y[1] (analytic) = 0.01503006431332638779786851666762
y[1] (numeric) = 0.015030064313326387797868516667626
absolute error = 6e-33
relative error = 3.9919988863122212160026559091444e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.36
y[1] (analytic) = 0.01515383200713171159549904183796
y[1] (numeric) = 0.015153832007131711595499041837959
absolute error = 1e-33
relative error = 6.5989909319925085517455913293084e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.361
y[1] (analytic) = 0.01527825908538921200493201062192
y[1] (numeric) = 0.015278259085389212004932010621922
absolute error = 2e-33
relative error = 1.3090496690899977727231935414132e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.362
y[1] (analytic) = 0.01540334705039007523233689713617
y[1] (numeric) = 0.01540334705039007523233689713617
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.363
y[1] (analytic) = 0.01552909740178194139161411060248
y[1] (numeric) = 0.015529097401781941391614110602478
absolute error = 2e-33
relative error = 1.2879048590232313838952139058356e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.364
y[1] (analytic) = 0.01565551163656290591583406966632
y[1] (numeric) = 0.015655511636562905915834069666315
absolute error = 5e-33
relative error = 3.1937633953288840116317401107041e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.365
y[1] (analytic) = 0.01578259124907553156685146730962
y[1] (numeric) = 0.015782591249075531566851467309617
absolute error = 3e-33
relative error = 1.9008285475147977357016710602037e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.366
y[1] (analytic) = 0.0159103377310008710670466799167
y[1] (numeric) = 0.015910337731000871067046679916702
absolute error = 2e-33
relative error = 1.2570443404875391472668158545977e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.367
y[1] (analytic) = 0.01603875257135250037710378555787
y[1] (numeric) = 0.016038752571352500377103785557872
absolute error = 2e-33
relative error = 1.2469797704668661392163849304629e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.368
y[1] (analytic) = 0.016167837256470562643692072423
y[1] (numeric) = 0.016167837256470562643692072423003
absolute error = 3e-33
relative error = 1.8555357481714902655793578333245e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.369
y[1] (analytic) = 0.01629759327001582284087523873768
y[1] (numeric) = 0.016297593270015822840875238737684
absolute error = 4e-33
relative error = 2.4543501201242804857773426584474e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.37
y[1] (analytic) = 0.01642802209296373312902971059796
y[1] (numeric) = 0.016428022092963733129029710597958
absolute error = 2e-33
relative error = 1.2174320126198379376453145241978e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=80.1MB, alloc=4.3MB, time=3.36
x[1] = 0.371
y[1] (analytic) = 0.01655912520359850895501063413755
y[1] (numeric) = 0.016559125203598508955010634137549
absolute error = 1e-33
relative error = 6.0389663566447776774225865853659e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.372
y[1] (analytic) = 0.01669090407750721591726113346507
y[1] (numeric) = 0.016690904077507215917261133465068
absolute error = 2e-33
relative error = 1.1982574405272717303141914035403e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.373
y[1] (analytic) = 0.01682336018757386741951736604998
y[1] (numeric) = 0.016823360187573867419517366049985
absolute error = 5e-33
relative error = 2.9720578673059134224570513347053e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.374
y[1] (analytic) = 0.01695649500397353313671875286736
y[1] (numeric) = 0.01695649500397353313671875286736
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.375
y[1] (analytic) = 0.01709030999416645831668951180503
y[1] (numeric) = 0.017090309994166458316689511805028
absolute error = 2e-33
relative error = 1.1702537874869867339654641091232e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.376
y[1] (analytic) = 0.01722480662289219394111427976618
y[1] (numeric) = 0.017224806622892193941114279766175
absolute error = 5e-33
relative error = 2.9027902080217703917557000643197e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.377
y[1] (analytic) = 0.01735998635216373776928717173837
y[1] (numeric) = 0.01735998635216373776928717173837
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.378
y[1] (analytic) = 0.01749585064126168628807009402087
y[1] (numeric) = 0.017495850641261686288070094020868
absolute error = 2e-33
relative error = 1.1431281856529229517162397503067e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.379
y[1] (analytic) = 0.01763240094672839759145250397954
y[1] (numeric) = 0.017632400946728397591452503979542
absolute error = 2e-33
relative error = 1.1342754773116078887446701945093e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.38
y[1] (analytic) = 0.01776963872236216521306109030757
y[1] (numeric) = 0.017769638722362165213061090307569
absolute error = 1e-33
relative error = 5.6275764275474664646983193947554e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.381
y[1] (analytic) = 0.01790756541921140293492403598494
y[1] (numeric) = 0.017907565419211402934924035984936
absolute error = 4e-33
relative error = 2.2336928032153174503883455408403e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.382
y[1] (analytic) = 0.01804618248556884059575062112612
y[1] (numeric) = 0.018046182485568840595750621126118
absolute error = 2e-33
relative error = 1.1082676358833003554077166351107e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.383
y[1] (analytic) = 0.0181854913669657309219429248586
y[1] (numeric) = 0.018185491366965730921942924858603
absolute error = 3e-33
relative error = 1.6496667257776457175337116483968e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.384
y[1] (analytic) = 0.01832549350616606740451229446123
y[1] (numeric) = 0.018325493506166067404512294461227
absolute error = 3e-33
relative error = 1.6370636888936035992047087497178e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=83.9MB, alloc=4.3MB, time=3.52
TOP MAIN SOLVE Loop
x[1] = 0.385
y[1] (analytic) = 0.01846619034316081324502906638695
y[1] (numeric) = 0.018466190343160813245029066386948
absolute error = 2e-33
relative error = 1.0830604271014271510455454045270e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.386
y[1] (analytic) = 0.01860758331516214139368974767644
y[1] (numeric) = 0.018607583315162141393689747676438
absolute error = 2e-33
relative error = 1.0748306032682528106152237978272e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.387
y[1] (analytic) = 0.01874967385659768570254149781382
y[1] (numeric) = 0.018749673856597685702541497813815
absolute error = 5e-33
relative error = 2.6667130523129534555596565573833e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.388
y[1] (analytic) = 0.01889246339910480321685929046147
y[1] (numeric) = 0.018892463399104803216859290461469
absolute error = 1e-33
relative error = 5.2931159842680113595936564993662e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.389
y[1] (analytic) = 0.01903595337152484762762658191504
y[1] (numeric) = 0.019035953371524847627626581915044
absolute error = 4e-33
relative error = 2.1012869289664506890627438911493e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.39
y[1] (analytic) = 0.01918014519989745390802566872052
y[1] (numeric) = 0.01918014519989745390802566872052
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.391
y[1] (analytic) = 0.01932504030745483415679918087147
y[1] (numeric) = 0.019325040307454834156799180871472
absolute error = 2e-33
relative error = 1.0349266900253135907517964723215e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.392
y[1] (analytic) = 0.019470640114616084671299329535
y[1] (numeric) = 0.019470640114616084671299329534998
absolute error = 2e-33
relative error = 1.0271875953881217871465281342302e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.393
y[1] (analytic) = 0.01961694603898150427299660951875
y[1] (numeric) = 0.019616946038981504272996609518749
absolute error = 1e-33
relative error = 5.0976334339344452756771641067311e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.394
y[1] (analytic) = 0.01976395949532692390817464686869
y[1] (numeric) = 0.019763959495326923908174646868695
absolute error = 5e-33
relative error = 2.5298574413604832738575554488595e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.395
y[1] (analytic) = 0.0199116818955980475464927812577
y[1] (numeric) = 0.019911681895598047546492781257701
absolute error = 1e-33
relative error = 5.0221774596603708494610201934961e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.396
y[1] (analytic) = 0.02006011464890480440005278136912
y[1] (numeric) = 0.020060114648904804400052781369115
absolute error = 5e-33
relative error = 2.4925081872714911925756194601251e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.397
y[1] (analytic) = 0.02020925916151571248556080947814
y[1] (numeric) = 0.020209259161515712485560809478133
absolute error = 7e-33
relative error = 3.4637588365089746062978275245781e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=87.7MB, alloc=4.3MB, time=3.69
x[1] = 0.398
y[1] (analytic) = 0.02035911683685225355213037906784
y[1] (numeric) = 0.020359116836852253552130379067837
absolute error = 3e-33
relative error = 1.4735413250193977702825985607992e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.399
y[1] (analytic) = 0.02050968907548325939722658676798
y[1] (numeric) = 0.020509689075483259397226586767976
absolute error = 4e-33
relative error = 1.9502977277122617859916723540615e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.4
y[1] (analytic) = 0.02066097727511930959320634735465
y[1] (numeric) = 0.020660977275119309593206347354653
absolute error = 3e-33
relative error = 1.4520126323417952146944037917221e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.401
y[1] (analytic) = 0.02081298283060714064686371818028
y[1] (numeric) = 0.020812982830607140646863718180278
absolute error = 2e-33
relative error = 9.6093866807925363937207467385585e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.402
y[1] (analytic) = 0.02096570713392406661434366739804
y[1] (numeric) = 0.020965707133924066614343667398045
absolute error = 5e-33
relative error = 2.3848468206014524352918498006894e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.403
y[1] (analytic) = 0.02111915157417241119374181888667
y[1] (numeric) = 0.02111915157417241119374181888667
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.404
y[1] (analytic) = 0.02127331753757395131766179605254
y[1] (numeric) = 0.021273317537573951317661796052541
absolute error = 1e-33
relative error = 4.7007242675419673125090487734713e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.405
y[1] (analytic) = 0.02142820640746437226795578687136
y[1] (numeric) = 0.021428206407464372267955786871363
absolute error = 3e-33
relative error = 1.4000238484519031332057207996273e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.406
y[1] (analytic) = 0.02158381956428773433482786381386
y[1] (numeric) = 0.021583819564287734334827863813855
absolute error = 5e-33
relative error = 2.3165501291870162610243257076989e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.407
y[1] (analytic) = 0.02174015838559095104243341486443
y[1] (numeric) = 0.021740158385590951042433414864434
absolute error = 4e-33
relative error = 1.8399129983575187046933666757728e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.408
y[1] (analytic) = 0.0218972242460182789630617758728
y[1] (numeric) = 0.021897224246018278963061775872799
absolute error = 1e-33
relative error = 4.5667888713421601516584207303106e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.409
y[1] (analytic) = 0.02205501851730581914194280016097
y[1] (numeric) = 0.02205501851730581914194280016097
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.41
y[1] (analytic) = 0.02221354256827603015467165882807
y[1] (numeric) = 0.022213542568276030154671658828069
absolute error = 1e-33
relative error = 4.5017583166952237996381249191966e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.411
y[1] (analytic) = 0.02237279776483225281919963473772
y[1] (numeric) = 0.022372797764832252819199634737725
absolute error = 5e-33
relative error = 2.2348568348744867373784452827438e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=91.5MB, alloc=4.3MB, time=3.85
TOP MAIN SOLVE Loop
x[1] = 0.412
y[1] (analytic) = 0.02253278546995324658429205492454
y[1] (numeric) = 0.02253278546995324658429205492454
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.413
y[1] (analytic) = 0.02269350704368773761630780030307
y[1] (numeric) = 0.022693507043687737616307800303069
absolute error = 1e-33
relative error = 4.4065467628025911214467589276624e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.414
y[1] (analytic) = 0.02285496384314897860610803829207
y[1] (numeric) = 0.022854963843148978606108038292068
absolute error = 2e-33
relative error = 8.7508342333235478973160480052013e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.415
y[1] (analytic) = 0.02301715722250932031785494346548
y[1] (numeric) = 0.023017157222509320317854943465479
absolute error = 1e-33
relative error = 4.3445851732813616394993603374475e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.416
y[1] (analytic) = 0.02318008853299479490141420379734
y[1] (numeric) = 0.023180088532994794901414203797344
absolute error = 4e-33
relative error = 1.7256189484808721380369009532748e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.417
y[1] (analytic) = 0.02334375912287971099002805566836
y[1] (numeric) = 0.023343759122879710990028055668366
absolute error = 6e-33
relative error = 2.5702801200168628235458253055806e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.418
y[1] (analytic) = 0.02350817033748126060487844973545
y[1] (numeric) = 0.02350817033748126060487844973545
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.419
y[1] (analytic) = 0.02367332351915413788811272222076
y[1] (numeric) = 0.02367332351915413788811272222076
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.42
y[1] (analytic) = 0.02383922000728516968585683234259
y[1] (numeric) = 0.023839220007285169685856832342589
absolute error = 1e-33
relative error = 4.1947681161313332601134281433379e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.421
y[1] (analytic) = 0.02400586113828795800269382667588
y[1] (numeric) = 0.024005861138287958002693826675873
absolute error = 7e-33
relative error = 2.9159545494643412175847882754118e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.422
y[1] (analytic) = 0.02417324824559753434903770538509
y[1] (numeric) = 0.02417324824559753434903770538509
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.423
y[1] (analytic) = 0.02434138265966502600278529370655
y[1] (numeric) = 0.024341382659665026002785293706553
absolute error = 3e-33
relative error = 1.2324690186852699136537994593440e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.424
y[1] (analytic) = 0.02451026570795233420658106496096
y[1] (numeric) = 0.024510265707952334206581064960953
absolute error = 7e-33
relative error = 2.8559461914477965618134760765129e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=95.3MB, alloc=4.3MB, time=4.01
x[1] = 0.425
y[1] (analytic) = 0.02467989871492682432198211894113
y[1] (numeric) = 0.024679898714926824321982118941133
absolute error = 3e-33
relative error = 1.2155641458064610104516636066459e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.426
y[1] (analytic) = 0.02485028300205602796176269193537
y[1] (numeric) = 0.024850283002056027961762691935374
absolute error = 4e-33
relative error = 1.6096396164458383005226291329449e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.427
y[1] (analytic) = 0.02502141988780235712154966210434
y[1] (numeric) = 0.025021419887802357121549662104339
absolute error = 1e-33
relative error = 3.9965757518320854268355067160858e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.428
y[1] (analytic) = 0.02519331068761783033193251662183
y[1] (numeric) = 0.02519331068761783033193251662183
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.429
y[1] (analytic) = 0.02536595671393881085214316510768
y[1] (numeric) = 0.025365956713938810852143165107686
absolute error = 6e-33
relative error = 2.3653750054311763926060679742570e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.43
y[1] (analytic) = 0.02553935927618075692635281761784
y[1] (numeric) = 0.025539359276180756926352817617838
absolute error = 2e-33
relative error = 7.8310500211541988046568486528240e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.431
y[1] (analytic) = 0.02571351968073298412358489500434
y[1] (numeric) = 0.02571351968073298412358489500434
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.432
y[1] (analytic) = 0.0258884392309534397821946050102
y[1] (numeric) = 0.025888439230953439782194605010198
absolute error = 2e-33
relative error = 7.7254560700156292445309500127481e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.433
y[1] (analytic) = 0.02606411922716348957981739921328
y[1] (numeric) = 0.026064119227163489579817399213284
absolute error = 4e-33
relative error = 1.5346768349000192489453539633477e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.434
y[1] (analytic) = 0.02624056096664271624964002407426
y[1] (numeric) = 0.026240560966642716249640024074261
absolute error = 1e-33
relative error = 3.8108941393105535033174783391793e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.435
y[1] (analytic) = 0.02641776574362373046379929406928
y[1] (numeric) = 0.026417765743623730463799294069285
absolute error = 5e-33
relative error = 1.8926657343105613260990994813561e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.436
y[1] (analytic) = 0.02659573484928699390466504639356
y[1] (numeric) = 0.026595734849286993904665046393555
absolute error = 5e-33
relative error = 1.8800006949738578836354397460684e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.437
y[1] (analytic) = 0.02677446957175565454471498520134
y[1] (numeric) = 0.026774469571755654544714985201331
absolute error = 9e-33
relative error = 3.3614111293148028281989578774363e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.438
y[1] (analytic) = 0.02695397119609039415566028899675
y[1] (numeric) = 0.026953971196090394155660288996749
absolute error = 1e-33
relative error = 3.7100284508171007066291271018679e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=99.1MB, alloc=4.3MB, time=4.18
x[1] = 0.439
y[1] (analytic) = 0.02713424100428428806743193780302
y[1] (numeric) = 0.027134241004284288067431937803011
absolute error = 9e-33
relative error = 3.3168423611255495169618724147557e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.44
y[1] (analytic) = 0.027315280275257677197588717311
y[1] (numeric) = 0.027315280275257677197588717311
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.441
y[1] (analytic) = 0.027497090284853052371658775538
y[1] (numeric) = 0.027497090284853052371658775537991
absolute error = 9e-33
relative error = 3.2730735895200182051322913314001e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.442
y[1] (analytic) = 0.02767967230582995095487744380935
y[1] (numeric) = 0.027679672305829950954877443809349
absolute error = 1e-33
relative error = 3.6127595332455503495759418920620e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.443
y[1] (analytic) = 0.02786302760785986581573478830742
y[1] (numeric) = 0.027863027607859865815734788307419
absolute error = 1e-33
relative error = 3.5889854256825649535482368094771e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.444
y[1] (analytic) = 0.02804715745752116664169703120936
y[1] (numeric) = 0.028047157457521166641697031209366
absolute error = 6e-33
relative error = 2.1392542217824755894833150758614e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.445
y[1] (analytic) = 0.0282320631182940336274165717567
y[1] (numeric) = 0.028232063118294033627416571756702
absolute error = 2e-33
relative error = 7.0841439806218919862446190596873e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.446
y[1] (analytic) = 0.02841774585055540355569584766133
y[1] (numeric) = 0.02841774585055540355569584766133
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.447
y[1] (analytic) = 0.0286042069115739282914207062541
y[1] (numeric) = 0.028604206911573928291420706254102
absolute error = 2e-33
relative error = 6.9919785092547118346683234305756e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.448
y[1] (analytic) = 0.0287914475555049457086293029204
y[1] (numeric) = 0.028791447555504945708629302920402
absolute error = 2e-33
relative error = 6.9465072784004517538683884164554e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.449
y[1] (analytic) = 0.02897946903338546307083281184173
y[1] (numeric) = 0.028979469033385463070832811841729
absolute error = 1e-33
relative error = 3.4507188480505337530712575987474e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.45
y[1] (analytic) = 0.02916827259312915288465442107161
y[1] (numeric) = 0.029168272593129152884654421071612
absolute error = 2e-33
relative error = 6.8567653213413737167534555729523e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.451
y[1] (analytic) = 0.02935785947952136124680319071768
y[1] (numeric) = 0.029357859479521361246803190717682
absolute error = 2e-33
relative error = 6.8124857719790652699203893927249e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=103.0MB, alloc=4.3MB, time=4.34
x[1] = 0.452
y[1] (analytic) = 0.02954823093421412870434937967894
y[1] (numeric) = 0.029548230934214128704349379678931
absolute error = 9e-33
relative error = 3.0458676257260563452885987330893e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.453
y[1] (analytic) = 0.029739388195721223648217793198
y[1] (numeric) = 0.029739388195721223648217793198004
absolute error = 4e-33
relative error = 1.3450175819607152988582594558289e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.454
y[1] (analytic) = 0.02993133249941318825976557063298
y[1] (numeric) = 0.029931332499413188259765570632982
absolute error = 2e-33
relative error = 6.6819611189685943060637462680844e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.455
y[1] (analytic) = 0.03012406507751239703026062053211
y[1] (numeric) = 0.030124065077512397030260620532113
absolute error = 3e-33
relative error = 9.9588152936221706801431615450740e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.456
y[1] (analytic) = 0.0303175871590881278730266185091
y[1] (numeric) = 0.030317587159088127873026618509106
absolute error = 6e-33
relative error = 1.9790493117132557426531423612813e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.457
y[1] (analytic) = 0.03051189997005164584797011276714
y[1] (numeric) = 0.030511899970051645847970112767143
absolute error = 3e-33
relative error = 9.8322294021171768470205489971670e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.458
y[1] (analytic) = 0.03070700473315129951815483260816
y[1] (numeric) = 0.03070700473315129951815483260816
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.459
y[1] (analytic) = 0.03090290266796762995803776709197
y[1] (numeric) = 0.030902902667967629958037767091971
absolute error = 1e-33
relative error = 3.2359419784748858199921436270573e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.46
y[1] (analytic) = 0.0310995949909084924329309743796
y[1] (numeric) = 0.031099594990908492432930974379596
absolute error = 4e-33
relative error = 1.2861903832411132557169310802604e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.461
y[1] (analytic) = 0.03129708291520419076920239740913
y[1] (numeric) = 0.031297082915204190769202397409131
absolute error = 1e-33
relative error = 3.1951859625684086705100660994926e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.462
y[1] (analytic) = 0.03149536765090262443467819861339
y[1] (numeric) = 0.031495367650902624434678198613393
absolute error = 3e-33
relative error = 9.5252102888661568758611149039250e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.463
y[1] (analytic) = 0.03169445040486444834865828559944
y[1] (numeric) = 0.031694450404864448348658285599444
absolute error = 4e-33
relative error = 1.2620505952632269044156887960120e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.464
y[1] (analytic) = 0.0318943323807582454409057812743
y[1] (numeric) = 0.031894332380758245440905781274295
absolute error = 5e-33
relative error = 1.5676766455900123886106847189964e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.465
y[1] (analytic) = 0.03209501477905571197892019602234
y[1] (numeric) = 0.032095014779055711978920196022338
absolute error = 2e-33
relative error = 6.2314973642110386438779778678084e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=106.8MB, alloc=4.3MB, time=4.50
TOP MAIN SOLVE Loop
x[1] = 0.466
y[1] (analytic) = 0.03229649879702685568275298642224
y[1] (numeric) = 0.032296498797026855682752986422245
absolute error = 5e-33
relative error = 1.5481554305385848673021144093572e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.467
y[1] (analytic) = 0.03249878562873520664657303483858
y[1] (numeric) = 0.032498785628735206646573034838585
absolute error = 5e-33
relative error = 1.5385190256398484584776225352867e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.468
y[1] (analytic) = 0.03270187646503304108613835724081
y[1] (numeric) = 0.03270187646503304108613835724081
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.469
y[1] (analytic) = 0.03290577249355661793127904299444
y[1] (numeric) = 0.032905772493556617931279042994437
absolute error = 3e-33
relative error = 9.1169414138125441919754121420976e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.47
y[1] (analytic) = 0.03311047489872142828244505034146
y[1] (numeric) = 0.033110474898721428282445050341464
absolute error = 4e-33
relative error = 1.2080769038303528821288165826486e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.471
y[1] (analytic) = 0.03331598486171745775032102504478
y[1] (numeric) = 0.033315984861717457750321025044773
absolute error = 7e-33
relative error = 2.1010935228402988488165804469491e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.472
y[1] (analytic) = 0.03352230356050446169745877742037
y[1] (numeric) = 0.033522303560504461697458777420372
absolute error = 2e-33
relative error = 5.9661771047153625909834578845336e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.473
y[1] (analytic) = 0.03372943216980725340082644492788
y[1] (numeric) = 0.033729432169807253400826444927889
absolute error = 9e-33
relative error = 2.6682927701511408028262106628247e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.474
y[1] (analytic) = 0.03393737186111100515412168384022
y[1] (numeric) = 0.03393737186111100515412168384022
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.475
y[1] (analytic) = 0.03414612380265656232864447447436
y[1] (numeric) = 0.034146123802656562328644474474362
absolute error = 2e-33
relative error = 5.8571801928639418728855857561461e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.476
y[1] (analytic) = 0.0343556891594357704114732902443
y[1] (numeric) = 0.0343556891594357704114732902443
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.477
y[1] (analytic) = 0.03456606909318681503963647160066
y[1] (numeric) = 0.034566069093186815039636471600656
absolute error = 4e-33
relative error = 1.1572041903915607860092322457692e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.478
y[1] (analytic) = 0.0347772647623895750489186619583
y[1] (numeric) = 0.034777264762389575048918661958308
absolute error = 8e-33
relative error = 2.3003534218860498119106947009608e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=110.6MB, alloc=4.3MB, time=4.66
x[1] = 0.479
y[1] (analytic) = 0.03498927732226098855589010419032
y[1] (numeric) = 0.034989277322260988555890104190315
absolute error = 5e-33
relative error = 1.4290092230109834832253333492892e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.48
y[1] (analytic) = 0.03520210792475043209169446339239
y[1] (numeric) = 0.035202107924750432091694463392394
absolute error = 4e-33
relative error = 1.1362955901818650228929009026998e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.481
y[1] (analytic) = 0.03541575771853511280607863460551
y[1] (numeric) = 0.035415757718535112806078634605511
absolute error = 1e-33
relative error = 2.8236018778630908883350572319139e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.482
y[1] (analytic) = 0.03563022784901547376009571323362
y[1] (numeric) = 0.035630227849015473760095713233625
absolute error = 5e-33
relative error = 1.4033028419542253494299838748473e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.483
y[1] (analytic) = 0.03584551945831061232585995121843
y[1] (numeric) = 0.035845519458310612325859951218427
absolute error = 3e-33
relative error = 8.3692468273171149193301505932419e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.484
y[1] (analytic) = 0.03606163368525371171168009384245
y[1] (numeric) = 0.036061633685253711711680093842452
absolute error = 2e-33
relative error = 5.5460604404559687521702654384976e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.485
y[1] (analytic) = 0.03627857166538748563084499053592
y[1] (numeric) = 0.036278571665387485630844990535915
absolute error = 5e-33
relative error = 1.3782240508576526943100554431950e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.486
y[1] (analytic) = 0.03649633453095963613228279847106
y[1] (numeric) = 0.036496334530959636132282798471059
absolute error = 1e-33
relative error = 2.7400011887541901007660907958591e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.487
y[1] (analytic) = 0.03671492341091832461126245025097
y[1] (numeric) = 0.036714923410918324611262450250968
absolute error = 2e-33
relative error = 5.4473762007228858432220499813435e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.488
y[1] (analytic) = 0.03693433943090765601825333684833
y[1] (numeric) = 0.03693433943090765601825333684833
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.489
y[1] (analytic) = 0.03715458371326317628400636433436
y[1] (numeric) = 0.037154583713263176284006364334358
absolute error = 2e-33
relative error = 5.3829159153949943810602486001234e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.49
y[1] (analytic) = 0.03737565737700738297886667807021
y[1] (numeric) = 0.037375657377007382978866678070214
absolute error = 4e-33
relative error = 1.0702152900354616984996895736281e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.491
y[1] (analytic) = 0.03759756153784524922427541112425
y[1] (numeric) = 0.037597561537845249224275411124251
absolute error = 1e-33
relative error = 2.6597469599016737675663433074313e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.492
y[1] (analytic) = 0.03782029730815976087436480493996
y[1] (numeric) = 0.037820297308159760874364804939962
absolute error = 2e-33
relative error = 5.2881657267366280646825464704814e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=114.4MB, alloc=4.3MB, time=4.82
TOP MAIN SOLVE Loop
x[1] = 0.493
y[1] (analytic) = 0.03804386579700746698549796992373
y[1] (numeric) = 0.038043865797007466985497969923728
absolute error = 2e-33
relative error = 5.2570893049394578956068354643545e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.494
y[1] (analytic) = 0.03826826811011404359155140186062
y[1] (numeric) = 0.03826826811011404359155140186062
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.495
y[1] (analytic) = 0.03849350534986987080268514711322
y[1] (numeric) = 0.038493505349869870802685147113223
absolute error = 3e-33
relative error = 7.7935224987509266891698577056190e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.496
y[1] (analytic) = 0.03871957861532562324529221562561
y[1] (numeric) = 0.038719578615325623245292215625613
absolute error = 3e-33
relative error = 7.7480182049619928480597466026981e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.497
y[1] (analytic) = 0.03894648900218787386076547605544
y[1] (numeric) = 0.038946489002187873860765476055437
absolute error = 3e-33
relative error = 7.7028766311424651800069107866836e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.498
y[1] (analytic) = 0.0391742376028147110806668321049
y[1] (numeric) = 0.039174237602814711080666832104896
absolute error = 4e-33
relative error = 1.0210792206234527204550501504571e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.499
y[1] (analytic) = 0.03940282550621136939582997353018
y[1] (numeric) = 0.03940282550621136939582997353018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.5
y[1] (analytic) = 0.03963225379802587333687441959242
y[1] (numeric) = 0.039632253798025873336874419592426
absolute error = 6e-33
relative error = 1.5139184439464976066032452175580e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.501
y[1] (analytic) = 0.03986252356054469488355492708601
y[1] (numeric) = 0.039862523560544694883554927086013
absolute error = 3e-33
relative error = 7.5258657306115794602295999111571e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.502
y[1] (analytic) = 0.04009363587268842432031661975643
y[1] (numeric) = 0.040093635872688424320316619756434
absolute error = 4e-33
relative error = 9.9766457018301479141960780895917e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.503
y[1] (analytic) = 0.04032559181000745455537241111504
y[1] (numeric) = 0.040325591810007454555372411115038
absolute error = 2e-33
relative error = 4.9596296302926602521272292890685e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.504
y[1] (analytic) = 0.04055839244467767892056543858671
y[1] (numeric) = 0.040558392444677678920565438586712
absolute error = 2e-33
relative error = 4.9311619111335174968388259590921e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.505
y[1] (analytic) = 0.0407920388454962024692253038045
y[1] (numeric) = 0.0407920388454962024692253038045
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=118.2MB, alloc=4.3MB, time=4.99
x[1] = 0.506
y[1] (analytic) = 0.04102653207787706678917292190792
y[1] (numeric) = 0.041026532077877066789172921907922
absolute error = 2e-33
relative error = 4.8748941202331589959506181177517e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.507
y[1] (analytic) = 0.04126187320384698834797472212536
y[1] (numeric) = 0.041261873203846988347974722125359
absolute error = 1e-33
relative error = 2.4235448426194245400775658934111e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.508
y[1] (analytic) = 0.04149806328204111038749281294149
y[1] (numeric) = 0.041498063282041110387492812941489
absolute error = 1e-33
relative error = 2.4097510122424545152807093951177e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.509
y[1] (analytic) = 0.04173510336769876838472352798497
y[1] (numeric) = 0.041735103367698768384723527984973
absolute error = 3e-33
relative error = 7.1881935299622979754434719687815e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.51
y[1] (analytic) = 0.04197299451265926909586250363616
y[1] (numeric) = 0.041972994512659269095862503636158
absolute error = 2e-33
relative error = 4.7649685785387311484518636807462e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.511
y[1] (analytic) = 0.04221173776535768320048010646654
y[1] (numeric) = 0.042211737765357683200480106466545
absolute error = 5e-33
relative error = 1.1845046578734786324897520035019e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.512
y[1] (analytic) = 0.0424513341708206515626366281985
y[1] (numeric) = 0.04245133417082065156263662819851
absolute error = 1.0e-32
relative error = 2.3556385671557055218190934522749e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.513
y[1] (analytic) = 0.04269178477066220512571219813284
y[1] (numeric) = 0.042691784770662205125712198132837
absolute error = 3e-33
relative error = 7.0271130994307832890022696489526e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.514
y[1] (analytic) = 0.04293309060307959845767182815095
y[1] (numeric) = 0.042933090603079598457671828150952
absolute error = 2e-33
relative error = 4.6584114302186752738526993562521e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.515
y[1] (analytic) = 0.0431752527028491569634314036764
y[1] (numeric) = 0.043175252702849156963431403676397
absolute error = 3e-33
relative error = 6.9484248781293837539854784410982e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.516
y[1] (analytic) = 0.04341827210132213778093576559453
y[1] (numeric) = 0.043418272101322137780935765594532
absolute error = 2e-33
relative error = 4.6063555807396988341753870660571e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.517
y[1] (analytic) = 0.04366214982642060437750529329934
y[1] (numeric) = 0.043662149826420604377505293299341
absolute error = 1e-33
relative error = 2.2903132437947098034357241416093e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.518
y[1] (analytic) = 0.04390688690263331486295259798046
y[1] (numeric) = 0.043906886902633314862952597980462
absolute error = 2e-33
relative error = 4.5550940663025007836084693558721e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.519
y[1] (analytic) = 0.04415248435101162403591606820142
y[1] (numeric) = 0.044152484351011624035916068201421
absolute error = 1e-33
relative error = 2.2648782162516930886589414927922e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=122.0MB, alloc=4.3MB, time=5.15
TOP MAIN SOLVE Loop
x[1] = 0.52
y[1] (analytic) = 0.04439894318916539917980207697096
y[1] (numeric) = 0.04439894318916539917980207697096
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.521
y[1] (analytic) = 0.04464626443125894962467266109301
y[1] (numeric) = 0.04464626443125894962467266109301
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.522
y[1] (analytic) = 0.04489444908800697009136041981736
y[1] (numeric) = 0.044894449088006970091360419817358
absolute error = 2e-33
relative error = 4.4548937354802661741410239226937e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.523
y[1] (analytic) = 0.04514349816667049783403725092252
y[1] (numeric) = 0.045143498166670497834037250922528
absolute error = 8e-33
relative error = 1.7721267347213269760130144610222e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.524
y[1] (analytic) = 0.04539341267105288359740834856546
y[1] (numeric) = 0.045393412671052883597408348565459
absolute error = 1e-33
relative error = 2.2029628114691059774445373979032e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.525
y[1] (analytic) = 0.04564419360149577640464762874993
y[1] (numeric) = 0.045644193601495776404647628749934
absolute error = 4e-33
relative error = 8.7634366704397612187135326524793e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.526
y[1] (analytic) = 0.04589584195487512219213542531844
y[1] (numeric) = 0.045895841954875122192135425318443
absolute error = 3e-33
relative error = 6.5365398524546202274326261110304e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.527
y[1] (analytic) = 0.04614835872459717630700391218154
y[1] (numeric) = 0.04614835872459717630700391218154
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.528
y[1] (analytic) = 0.04640174490059452988344025628634
y[1] (numeric) = 0.046401744900594529883440256286337
absolute error = 3e-33
relative error = 6.4652741107620761334024599636424e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.529
y[1] (analytic) = 0.04665600146932215011364199081336
y[1] (numeric) = 0.046656001469322150113641990813363
absolute error = 3e-33
relative error = 6.4300409497641976674748035763526e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.53
y[1] (analytic) = 0.04691112941375343442926351950064
y[1] (numeric) = 0.046911129413753434429263519500647
absolute error = 7e-33
relative error = 1.4921832169633791841525491927358e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.531
y[1] (analytic) = 0.04716712971337627860913702104793
y[1] (numeric) = 0.047167129713376278609137021047931
absolute error = 1e-33
relative error = 2.1201205290141001969631496685997e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.532
y[1] (analytic) = 0.04742400334418915882899531747486
y[1] (numeric) = 0.047424003344189158828995317474862
absolute error = 2e-33
relative error = 4.2172736567273776433280577233815e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=125.8MB, alloc=4.3MB, time=5.31
x[1] = 0.533
y[1] (analytic) = 0.04768175127869722766886850231776
y[1] (numeric) = 0.04768175127869722766886850231776
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.534
y[1] (analytic) = 0.04794037448590842409377029387313
y[1] (numeric) = 0.047940374485908424093770293873128
absolute error = 2e-33
relative error = 4.1718489299408356909181938386241e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.535
y[1] (analytic) = 0.0481998739313295974232341855558
y[1] (numeric) = 0.048199873931329597423234185555797
absolute error = 3e-33
relative error = 6.2240826693325020429334337450685e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.536
y[1] (analytic) = 0.04846025057696264530520351005906
y[1] (numeric) = 0.048460250576962645305203510059066
absolute error = 6e-33
relative error = 1.2381281418409172890492338956397e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.537
y[1] (analytic) = 0.04872150538130066570972351660721
y[1] (numeric) = 0.048721505381300665709723516607213
absolute error = 3e-33
relative error = 6.1574452113530163290305924512613e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.538
y[1] (analytic) = 0.04898363929932412295782748140139
y[1] (numeric) = 0.048983639299324122957827481401393
absolute error = 3e-33
relative error = 6.1244938981930524876438561918941e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.539
y[1] (analytic) = 0.04924665328249702780095273060252
y[1] (numeric) = 0.04924665328249702780095273060252
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.54
y[1] (analytic) = 0.04951054827876313156616625309381
y[1] (numeric) = 0.049510548278763131566166253093814
absolute error = 4e-33
relative error = 8.0790864554326597130331442068478e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.541
y[1] (analytic) = 0.04977532523254213438242331704609
y[1] (numeric) = 0.049775325232542134382423317046093
absolute error = 3e-33
relative error = 6.0270826679373631874535272260485e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.542
y[1] (analytic) = 0.05004098508472590750302618019564
y[1] (numeric) = 0.050040985084725907503026180195642
absolute error = 2e-33
relative error = 3.9967238786641378530251997647185e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.543
y[1] (analytic) = 0.05030752877267472973939359896292
y[1] (numeric) = 0.050307528772674729739393598962917
absolute error = 3e-33
relative error = 5.9633221372414021070177926959525e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.544
y[1] (analytic) = 0.05057495723021353802119539631596
y[1] (numeric) = 0.050574957230213538021195396315958
absolute error = 2e-33
relative error = 3.9545263298911851254322838961053e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.545
y[1] (analytic) = 0.05084327138762819209784984284099
y[1] (numeric) = 0.050843271387628192097849842840991
absolute error = 1e-33
relative error = 1.9668285944388154682519705814925e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.546
y[1] (analytic) = 0.05111247217166175339632504005028
y[1] (numeric) = 0.051112472171661753396325040050294
absolute error = 1.4e-32
relative error = 2.7390574952001653866514899211343e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=129.7MB, alloc=4.3MB, time=5.47
x[1] = 0.547
y[1] (analytic) = 0.05138256050551077805012886976027
y[1] (numeric) = 0.051382560505510778050128869760272
absolute error = 2e-33
relative error = 3.8923712254189824987022174624037e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.548
y[1] (analytic) = 0.05165353730882162411431538863732
y[1] (numeric) = 0.05165353730882162411431538863732
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.549
y[1] (analytic) = 0.05192540349768677298127880296217
y[1] (numeric) = 0.051925403497686772981278802962173
absolute error = 3e-33
relative error = 5.7775188981124568982171906283721e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.55
y[1] (analytic) = 0.05219815998464116501204935553208
y[1] (numeric) = 0.052198159984641165012049355532078
absolute error = 2e-33
relative error = 3.8315526842104814695465922482589e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.551
y[1] (analytic) = 0.05247180767865854939774859463141
y[1] (numeric) = 0.052471807678658549397748594631411
absolute error = 1e-33
relative error = 1.9057853049852563578601367216977e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.552
y[1] (analytic) = 0.0527463474851478482658045743828
y[1] (numeric) = 0.052746347485147848265804574382808
absolute error = 8e-33
relative error = 1.5166926965421852207527839275862e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.553
y[1] (analytic) = 0.05302178030594953504547055677015
y[1] (numeric) = 0.053021780305949535045470556770158
absolute error = 8e-33
relative error = 1.5088139164392271212939851818946e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.554
y[1] (analytic) = 0.0532981070393320271071337484298
y[1] (numeric) = 0.053298107039332027107133748429799
absolute error = 1e-33
relative error = 1.8762392429097661430715536754994e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.555
y[1] (analytic) = 0.05357532857998809268984351016516
y[1] (numeric) = 0.05357532857998809268984351016516
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.556
y[1] (analytic) = 0.05385344581903127213143132428124
y[1] (numeric) = 0.053853445819031272131431324281248
absolute error = 8e-33
relative error = 1.4855131140323205775635054067938e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.557
y[1] (analytic) = 0.05413245964399231341553759448741
y[1] (numeric) = 0.054132459643992313415537594487414
absolute error = 4e-33
relative error = 7.3892818214919685303416510624383e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.558
y[1] (analytic) = 0.0544123709388156220498030855086
y[1] (numeric) = 0.054412370938815622049803085508602
absolute error = 2e-33
relative error = 3.6756347233038498564506628106546e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.559
y[1] (analytic) = 0.05469318058385572528942548490582
y[1] (numeric) = 0.054693180583855725289425484905818
absolute error = 2e-33
relative error = 3.6567630162476926179307225840178e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=133.5MB, alloc=4.3MB, time=5.63
x[1] = 0.56
y[1] (analytic) = 0.05497488945587375072022418816522
y[1] (numeric) = 0.054974889455873750720224188165217
absolute error = 3e-33
relative error = 5.4570368939222437238395256875645e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.561
y[1] (analytic) = 0.05525749842803391921529897010142
y[1] (numeric) = 0.055257498428033919215298970101428
absolute error = 8e-33
relative error = 1.4477673125972240559500053270954e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.562
y[1] (analytic) = 0.05554100836990005227931071126439
y[1] (numeric) = 0.055541008369900052279310711264396
absolute error = 6e-33
relative error = 1.0802828713588221050638442772260e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.563
y[1] (analytic) = 0.05582542014743209379435479756993
y[1] (numeric) = 0.055825420147432093794354797569938
absolute error = 8e-33
relative error = 1.4330389236431014938801896635166e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.564
y[1] (analytic) = 0.05611073462298264618134020502276
y[1] (numeric) = 0.056110734622982646181340205022763
absolute error = 3e-33
relative error = 5.3465705272930371025233840802340e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.565
y[1] (analytic) = 0.05639695265529352099072961939715
y[1] (numeric) = 0.056396952655293520990729619397155
absolute error = 5e-33
relative error = 8.8657272504788268325257949205817e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.566
y[1] (analytic) = 0.05668407509949230393643822331563
y[1] (numeric) = 0.056684075099492303936438223315633
absolute error = 3e-33
relative error = 5.2924917531676719063114146723523e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.567
y[1] (analytic) = 0.05697210280708893438663101055048
y[1] (numeric) = 0.056972102807088934386631010550482
absolute error = 2e-33
relative error = 3.5104900494407302511325527376399e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.568
y[1] (analytic) = 0.05726103662597229932510065979822
y[1] (numeric) = 0.057261036625972299325100659798222
absolute error = 2e-33
relative error = 3.4927764459870879227003388760561e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.569
y[1] (analytic) = 0.05755087740040684179685011787413
y[1] (numeric) = 0.057550877400406841796850117874136
absolute error = 6e-33
relative error = 1.0425557821222000124064993690317e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.57
y[1] (analytic) = 0.05784162597102918385144610547445
y[1] (numeric) = 0.057841625971029183851446105474453
absolute error = 3e-33
relative error = 5.1865761890970932458710477244335e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.571
y[1] (analytic) = 0.05813328317484476399765176758942
y[1] (numeric) = 0.058133283174844763997651767589416
absolute error = 4e-33
relative error = 6.8807398817806085240504854892708e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.572
y[1] (analytic) = 0.05842584984522448918278864555324
y[1] (numeric) = 0.058425849845224489182788645553248
absolute error = 8e-33
relative error = 1.3692569335649792229386151957392e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.573
y[1] (analytic) = 0.05871932681190140131022004881909
y[1] (numeric) = 0.058719326811901401310220048819094
absolute error = 4e-33
relative error = 6.8120671969101467038172270858639e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=137.3MB, alloc=4.3MB, time=5.80
x[1] = 0.574
y[1] (analytic) = 0.0590137149009673583082897520808
y[1] (numeric) = 0.059013714900967358308289752080812
absolute error = 1.2e-32
relative error = 2.0334256232025980935002229432872e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.575
y[1] (analytic) = 0.05930901493486972976399173756158
y[1] (numeric) = 0.059309014934869729763991737561585
absolute error = 5e-33
relative error = 8.4304215901929181655224465173322e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.576
y[1] (analytic) = 0.05960522773240810713458844338456
y[1] (numeric) = 0.059605227732408107134588443384565
absolute error = 5e-33
relative error = 8.3885259568959544816509419770562e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.577
y[1] (analytic) = 0.05990235410873102855033666716616
y[1] (numeric) = 0.05990235410873102855033666716616
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.578
y[1] (analytic) = 0.06020039487533271822142190956144
y[1] (numeric) = 0.060200394875332718221421909561441
absolute error = 1e-33
relative error = 1.6611186721795953261149050062625e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.579
y[1] (analytic) = 0.06049935084004984046214352567682
y[1] (numeric) = 0.060499350840049840462143525676817
absolute error = 3e-33
relative error = 4.9587308927189945788955759259262e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.58
y[1] (analytic) = 0.06079922280705826834533458328142
y[1] (numeric) = 0.06079922280705826834533458328142
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.581
y[1] (analytic) = 0.0611000115768698669999418058293
y[1] (numeric) = 0.061100011576869866999941805829298
absolute error = 2e-33
relative error = 3.2733218020487637457891753685590e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.582
y[1] (analytic) = 0.06140171794632929156463240568371
y[1] (numeric) = 0.061401717946329291564632405683716
absolute error = 6e-33
relative error = 9.7717135622240209876872286692266e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.583
y[1] (analytic) = 0.06170434270861079981023598884682
y[1] (numeric) = 0.061704342708610799810235988846828
absolute error = 8e-33
relative error = 1.2965051808069264699441931036631e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.584
y[1] (analytic) = 0.06200788665321507944377103717726
y[1] (numeric) = 0.062007886653215079443771037177272
absolute error = 1.2e-32
relative error = 1.9352377008284648102783822016461e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.585
y[1] (analytic) = 0.06231235056596609010674674775949
y[1] (numeric) = 0.062312350565966090106746747759497
absolute error = 7e-33
relative error = 1.1233728043350810264453635313915e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.586
y[1] (analytic) = 0.06261773522900792008037223200679
y[1] (numeric) = 0.062617735229007920080372232006795
absolute error = 5e-33
relative error = 7.9849582258346030046113674791478e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=141.1MB, alloc=4.3MB, time=5.96
x[1] = 0.587
y[1] (analytic) = 0.06292404142080165771024624947018
y[1] (numeric) = 0.062924041420801657710246249470182
absolute error = 2e-33
relative error = 3.1784353878751862083557558059360e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.588
y[1] (analytic) = 0.06323126991612227756304177342276
y[1] (numeric) = 0.06323126991612227756304177342276
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.589
y[1] (analytic) = 0.0635394214860555413276407573295
y[1] (numeric) = 0.06353942148605554132764075732951
absolute error = 1.0e-32
relative error = 1.5738261013589201945736904636964e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.59
y[1] (analytic) = 0.06384849689799491347311549353131
y[1] (numeric) = 0.063848496897994913473115493531314
absolute error = 4e-33
relative error = 6.2648303316998137021344458632744e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.591
y[1] (analytic) = 0.06415849691563849167589392810531
y[1] (numeric) = 0.064158496915638491675893928105319
absolute error = 9e-33
relative error = 1.4027760051539283976002335672568e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.592
y[1] (analytic) = 0.06446942229898595202838721914762
y[1] (numeric) = 0.064469422298985952028387219147618
absolute error = 2e-33
relative error = 3.1022458844515786229803430490449e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.593
y[1] (analytic) = 0.06478127380433550904129869989496
y[1] (numeric) = 0.064781273804335509041298699894966
absolute error = 6e-33
relative error = 9.2619358151590528547688063867623e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.594
y[1] (analytic) = 0.06509405218428089045177423339634
y[1] (numeric) = 0.065094052184280890451774233396338
absolute error = 2e-33
relative error = 3.0724773353147710140290463804445e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.595
y[1] (analytic) = 0.06540775818770832684949472209933
y[1] (numeric) = 0.065407758187708326849494722099336
absolute error = 6e-33
relative error = 9.1732237371308388293495864976453e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.596
y[1] (analytic) = 0.06572239255979355613275226396756
y[1] (numeric) = 0.065722392559793556132752263967561
absolute error = 1e-33
relative error = 1.5215514241819640012238840057384e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.597
y[1] (analytic) = 0.06603795604199884280649212683027
y[1] (numeric) = 0.066037956041998842806492126830276
absolute error = 6e-33
relative error = 9.0856839908614340861541592902213e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.598
y[1] (analytic) = 0.06635444937207001213424334482219
y[1] (numeric) = 0.066354449372070012134243344822194
absolute error = 4e-33
relative error = 6.0282317732315994513900268652688e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.599
y[1] (analytic) = 0.06667187328403349915580132523653
y[1] (numeric) = 0.066671873284033499155801325236536
absolute error = 6e-33
relative error = 8.9992971615466410740108780217598e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.6
y[1] (analytic) = 0.06699022850819341258246639112629
y[1] (numeric) = 0.066990228508193412582466391126298
absolute error = 8e-33
relative error = 1.1942040172353702865657758740441e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=144.9MB, alloc=4.3MB, time=6.12
x[1] = 0.601
y[1] (analytic) = 0.06730951577112861358158267478474
y[1] (numeric) = 0.06730951577112861358158267478474
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.602
y[1] (analytic) = 0.06762973579568980946206222005457
y[1] (numeric) = 0.067629735795689809462062220054575
absolute error = 5e-33
relative error = 7.3931975944798248097966293810260e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.603
y[1] (analytic) = 0.06795088930099666227251954749436
y[1] (numeric) = 0.067950889300996662272519547494369
absolute error = 9e-33
relative error = 1.3244859769433500967631834614802e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.604
y[1] (analytic) = 0.06827297700243491232358228600868
y[1] (numeric) = 0.068272977002434912323582286008679
absolute error = 1e-33
relative error = 1.4647083573993494317688000722906e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.605
y[1] (analytic) = 0.0685959996116535166458837778641
y[1] (numeric) = 0.068595999611653516645883777864104
absolute error = 4e-33
relative error = 5.8312438373162143244812238295261e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.606
y[1] (analytic) = 0.06891995783656180239518382130544
y[1] (numeric) = 0.068919957836561802395183821305442
absolute error = 2e-33
relative error = 2.9019170393905940934656845270818e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.607
y[1] (analytic) = 0.06924485238132663521600392649352
y[1] (numeric) = 0.069244852381326635216003926493521
absolute error = 1e-33
relative error = 1.4441506705698047278183310326465e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.608
y[1] (analytic) = 0.06957068394636960257510362644816
y[1] (numeric) = 0.069570683946369602575103626448167
absolute error = 7e-33
relative error = 1.0061709333483245188857071462119e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.609
y[1] (analytic) = 0.0698974532283642120760645053355
y[1] (numeric) = 0.069897453228364212076064505335506
absolute error = 6e-33
relative error = 8.5840037410193007923212495226667e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.61
y[1] (analytic) = 0.07022516092023310476618868202791
y[1] (numeric) = 0.070225160920233104766188682027913
absolute error = 3e-33
relative error = 4.2719731228634994875000789125999e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.611
y[1] (analytic) = 0.07055380771114528344685851762708
y[1] (numeric) = 0.070553807711145283446858517627083
absolute error = 3e-33
relative error = 4.2520738388526326386919525744628e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.612
y[1] (analytic) = 0.07088339428651335599844430181579
y[1] (numeric) = 0.070883394286513355998444301815797
absolute error = 7e-33
relative error = 9.8753735913177855255228313045879e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.613
y[1] (analytic) = 0.07121392132799079373078661473208
y[1] (numeric) = 0.071213921327990793730786614732092
absolute error = 1.2e-32
relative error = 1.6850637875607859147501824987097e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=148.7MB, alloc=4.3MB, time=6.28
x[1] = 0.614
y[1] (analytic) = 0.07154538951346920477021995878082
y[1] (numeric) = 0.071545389513469204770219958780834
absolute error = 1.4e-32
relative error = 1.9567997456166405178627917548631e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.615
y[1] (analytic) = 0.07187779951707562249404410865269
y[1] (numeric) = 0.071877799517075622494044108652695
absolute error = 5e-33
relative error = 6.9562507945338210786300724425440e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.616
y[1] (analytic) = 0.07221115200916980902328943804971
y[1] (numeric) = 0.072211152009169809023289438049717
absolute error = 7e-33
relative error = 9.6937935557531302697199726129720e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.617
y[1] (analytic) = 0.07254544765634157378456224846079
y[1] (numeric) = 0.072545447656341573784562248460799
absolute error = 9e-33
relative error = 1.2406016215702906794257603476503e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.618
y[1] (analytic) = 0.07288068712140810715169584903055
y[1] (numeric) = 0.072880687121408107151695849030558
absolute error = 8e-33
relative error = 1.0976844917327988910004313747874e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.619
y[1] (analytic) = 0.07321687106341132917787281736208
y[1] (numeric) = 0.073216871063411329177872817362088
absolute error = 8e-33
relative error = 1.0926443432786682440173618124578e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.62
y[1] (analytic) = 0.07355400013761525342882350922956
y[1] (numeric) = 0.073554000137615253428823509229559
absolute error = 1e-33
relative error = 1.3595453654853008671283388912204e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.621
y[1] (analytic) = 0.07389207499550336592764548089172
y[1] (numeric) = 0.073892074995503365927645480891722
absolute error = 2e-33
relative error = 2.7066502058870429005781344116738e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.622
y[1] (analytic) = 0.07423109628477601922172804123389
y[1] (numeric) = 0.074231096284776019221728041233897
absolute error = 7e-33
relative error = 9.4300102657053482722712458264626e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.623
y[1] (analytic) = 0.07457106464934784158220566256564
y[1] (numeric) = 0.074571064649347841582205662565654
absolute error = 1.4e-32
relative error = 1.8774037980859693236325656442165e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.624
y[1] (analytic) = 0.07491198072934516134630344880614
y[1] (numeric) = 0.074911980729345161346303448806142
absolute error = 2e-33
relative error = 2.6697999178875574791368709156447e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.625
y[1] (analytic) = 0.07525384516110344641287728824099
y[1] (numeric) = 0.075253845161103446412877288240994
absolute error = 4e-33
relative error = 5.3153430119574610693586408437706e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.626
y[1] (analytic) = 0.07559665857716475890139070527617
y[1] (numeric) = 0.075596658577164758901390705276176
absolute error = 6e-33
relative error = 7.9368587354632111053372101614416e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.627
y[1] (analytic) = 0.07594042160627522498450977188759
y[1] (numeric) = 0.075940421606275224984509771887597
absolute error = 7e-33
relative error = 9.2177523536708483342054679533679e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=152.5MB, alloc=4.3MB, time=6.45
x[1] = 0.628
y[1] (analytic) = 0.07628513487338251990443674501327
y[1] (numeric) = 0.076285134873382519904436745013276
absolute error = 6e-33
relative error = 7.8652282780370695410242101207809e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.629
y[1] (analytic) = 0.0766307989996333681830423612002
y[1] (numeric) = 0.0766307989996333681830423612002
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.63
y[1] (analytic) = 0.07697741460237105903579594464364
y[1] (numeric) = 0.07697741460237105903579594464365
absolute error = 1.0e-32
relative error = 1.2990823414446008047154499610681e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.631
y[1] (analytic) = 0.07732498229513297699943166958577
y[1] (numeric) = 0.077324982295132976999431669585772
absolute error = 2e-33
relative error = 2.5864862048935572514171740647226e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.632
y[1] (analytic) = 0.07767350268764814778322846311585
y[1] (numeric) = 0.077673502687648147783228463115858
absolute error = 8e-33
relative error = 1.0299522646958190822499358929792e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.633
y[1] (analytic) = 0.07802297638583479935372013998052
y[1] (numeric) = 0.078022976385834799353720139980519
absolute error = 1e-33
relative error = 1.2816737406361642683908085283400e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.634
y[1] (analytic) = 0.07837340399179793826259142731132
y[1] (numeric) = 0.07837340399179793826259142731133
absolute error = 1.0e-32
relative error = 1.2759430483645365672276174362373e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.635
y[1] (analytic) = 0.07872478610382694122745456445428
y[1] (numeric) = 0.078724786103826941227454564454284
absolute error = 4e-33
relative error = 5.0809918933594326100930538000903e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.636
y[1] (analytic) = 0.07907712331639316197514015158342
y[1] (numeric) = 0.079077123316393161975140151583426
absolute error = 6e-33
relative error = 7.5875294249053240552869861346950e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.637
y[1] (analytic) = 0.0794304162201475533570748707444
y[1] (numeric) = 0.079430416220147553357074870744406
absolute error = 6e-33
relative error = 7.5537813919677004834534842340808e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.638
y[1] (analytic) = 0.07978466540191830474625761464654
y[1] (numeric) = 0.079784665401918304746257614646549
absolute error = 9e-33
relative error = 1.1280363155829701904329379546435e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.639
y[1] (analytic) = 0.08013987144470849472528443214878
y[1] (numeric) = 0.080139871444708494725284432148788
absolute error = 8e-33
relative error = 9.9825465848413548697897481735506e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.64
y[1] (analytic) = 0.08049603492769375907481153520993
y[1] (numeric) = 0.080496034927693759074811535209935
absolute error = 5e-33
relative error = 6.2114860744275070020654861964010e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=156.4MB, alloc=4.3MB, time=6.61
x[1] = 0.641
y[1] (analytic) = 0.0808531564262199740717844103419
y[1] (numeric) = 0.080853156426219974071784410341908
absolute error = 8e-33
relative error = 9.8944807520287107953652788905634e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.642
y[1] (analytic) = 0.08121123651180095510669983856054
y[1] (numeric) = 0.08121123651180095510669983856054
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.643
y[1] (analytic) = 0.08157027575211617062910635171736
y[1] (numeric) = 0.08157027575211617062910635171737
absolute error = 1.0e-32
relative error = 1.2259367652978138746102635231103e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.644
y[1] (analytic) = 0.08193027471100847143048734016252
y[1] (numeric) = 0.081930274711008471430487340162529
absolute error = 9e-33
relative error = 1.0984950351680835849659364788885e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.645
y[1] (analytic) = 0.08229123394848183527360967717866
y[1] (numeric) = 0.082291233948481835273609677178662
absolute error = 2e-33
relative error = 2.4303925266840616649338066443478e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.646
y[1] (analytic) = 0.08265315402069912687735933978422
y[1] (numeric) = 0.082653154020699126877359339784229
absolute error = 9e-33
relative error = 1.0888876663733966647969094478699e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.647
y[1] (analytic) = 0.08301603547997987326602408357701
y[1] (numeric) = 0.083016035479979873266024083577015
absolute error = 5e-33
relative error = 6.0229327636415482312247928193590e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.648
y[1] (analytic) = 0.08337987887479805449192177152094
y[1] (numeric) = 0.083379878874798054491921771520949
absolute error = 9e-33
relative error = 1.0793971065266551623675010416145e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.649
y[1] (analytic) = 0.08374468474977990974021146321722
y[1] (numeric) = 0.083744684749779909740211463217218
absolute error = 2e-33
relative error = 2.3882112709311455380342708547221e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.65
y[1] (analytic) = 0.08411045364570175882466284249011
y[1] (numeric) = 0.084110453645701758824662842490116
absolute error = 6e-33
relative error = 7.1334771600136460000236584408828e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.651
y[1] (analytic) = 0.08447718609948783908309799730526
y[1] (numeric) = 0.08447718609948783908309799730526
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.652
y[1] (analytic) = 0.0848448826442081576811579673689
y[1] (numeric) = 0.084844882644208157681157967368899
absolute error = 1e-33
relative error = 1.1786214664158815910282027659877e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.653
y[1] (analytic) = 0.08521354380907635933298484147854
y[1] (numeric) = 0.085213543809076359332984841478541
absolute error = 1e-33
relative error = 1.1735223713269473164727149746093e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.654
y[1] (analytic) = 0.08558317011944760944734851905346
y[1] (numeric) = 0.08558317011944760944734851905347
absolute error = 1.0e-32
relative error = 1.1684540296933492812197567043972e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=160.2MB, alloc=4.3MB, time=6.77
x[1] = 0.655
y[1] (analytic) = 0.08595376209681649270768554851562
y[1] (numeric) = 0.08595376209681649270768554851563
absolute error = 1.0e-32
relative error = 1.1634162084419542118398071972910e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.656
y[1] (analytic) = 0.08632532025881492709445571956362
y[1] (numeric) = 0.086325320258814927094455719563629
absolute error = 9e-33
relative error = 1.0425678089599654948629219322367e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.657
y[1] (analytic) = 0.0866978451192100933581603171322
y[1] (numeric) = 0.086697845119210093358160317132202
absolute error = 2e-33
relative error = 2.3068624107669425537398536748217e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.658
y[1] (analytic) = 0.0870713371879023799513041422034
y[1] (numeric) = 0.087071337187902379951304142203399
absolute error = 1e-33
relative error = 1.1484835679529901355100108078956e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.659
y[1] (analytic) = 0.08744579697092334342752156888133
y[1] (numeric) = 0.087445796970923343427521568881336
absolute error = 6e-33
relative error = 6.8613932376819251219221343500853e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.66
y[1] (analytic) = 0.0878212249704336843160250385068
y[1] (numeric) = 0.087821224970433684316025038506811
absolute error = 1.1e-32
relative error = 1.2525445874506206065882049785793e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.661
y[1] (analytic) = 0.08819762168472123847947249031896
y[1] (numeric) = 0.088197621684721238479472490318968
absolute error = 8e-33
relative error = 9.0705393719090115547407461670222e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.662
y[1] (analytic) = 0.0885749876081989839632882945161
y[1] (numeric) = 0.088574987608198983963288294516108
absolute error = 8e-33
relative error = 9.0318951388252594753811762663292e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.663
y[1] (analytic) = 0.08895332323140306334441028777437
y[1] (numeric) = 0.088953323231403063344410287774373
absolute error = 3e-33
relative error = 3.3725552807013221613693569260817e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.664
y[1] (analytic) = 0.08933262904099082158737351359929
y[1] (numeric) = 0.089332629040990821587373513599294
absolute error = 4e-33
relative error = 4.4776472414850520160230710969702e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.665
y[1] (analytic) = 0.08971290551973885941557924055905
y[1] (numeric) = 0.089712905519738859415579240559056
absolute error = 6e-33
relative error = 6.6880009796136464323090058724135e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.666
y[1] (analytic) = 0.09009415314654110220553577072788
y[1] (numeric) = 0.09009415314654110220553577072789
absolute error = 1.0e-32
relative error = 1.1099499413391090119155367722172e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.667
y[1] (analytic) = 0.09047637239640688441179545880156
y[1] (numeric) = 0.090476372396406884411795458801567
absolute error = 7e-33
relative error = 7.7368265488482307020070283118029e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=164.0MB, alloc=4.3MB, time=6.94
x[1] = 0.668
y[1] (analytic) = 0.0908595637404590495302502395828
y[1] (numeric) = 0.090859563740459049530250239582804
absolute error = 4e-33
relative error = 4.4023984216191337952442312755478e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.669
y[1] (analytic) = 0.0912437276459320656073858081211
y[1] (numeric) = 0.0912437276459320656073858081211
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.67
y[1] (analytic) = 0.09162886457617015630303241297761
y[1] (numeric) = 0.091628864576170156303032412977617
absolute error = 7e-33
relative error = 7.6395140683872276877525838650613e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.671
y[1] (analytic) = 0.09201497499062544751408800912002
y[1] (numeric) = 0.092014974990625447514088009120029
absolute error = 9e-33
relative error = 9.7810166235625522226481595137030e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.672
y[1] (analytic) = 0.09240205934485612956662727308354
y[1] (numeric) = 0.09240205934485612956662727308355
absolute error = 1.0e-32
relative error = 1.0822269623535921255833939565192e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.673
y[1] (analytic) = 0.09279011809052463498374770951167
y[1] (numeric) = 0.092790118090524634983747709511675
absolute error = 5e-33
relative error = 5.3885048353123935748760014136341e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.674
y[1] (analytic) = 0.09317915167539583183644177526256
y[1] (numeric) = 0.093179151675395831836441775262563
absolute error = 3e-33
relative error = 3.2196043278554089509131507768167e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.675
y[1] (analytic) = 0.0935691605433352326847216151837
y[1] (numeric) = 0.093569160543335232684721615183701
absolute error = 1e-33
relative error = 1.0687281944106617801544940975958e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.676
y[1] (analytic) = 0.09396014513430721911616064266783
y[1] (numeric) = 0.093960145134307219116160642667831
absolute error = 1e-33
relative error = 1.0642810295477872513218481974443e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.677
y[1] (analytic) = 0.09435210588437328188895380845652
y[1] (numeric) = 0.094352105884373281888953808456528
absolute error = 8e-33
relative error = 8.4788780547239172672149794541976e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.678
y[1] (analytic) = 0.09474504322569027668653598310388
y[1] (numeric) = 0.094745043225690276686535983103886
absolute error = 6e-33
relative error = 6.3327851207028527488471876095720e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.679
y[1] (analytic) = 0.09513895758650869549073543230112
y[1] (numeric) = 0.095138957586508695490735432301121
absolute error = 1e-33
relative error = 1.0510941315398712230215289777373e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.68
y[1] (analytic) = 0.09553384939117095358037689014334
y[1] (numeric) = 0.095533849391170953580376890143349
absolute error = 9e-33
relative error = 9.4207446442870561412950478333524e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.681
y[1] (analytic) = 0.09592971906010969216218623364224
y[1] (numeric) = 0.09592971906010969216218623364225
absolute error = 1.0e-32
relative error = 1.0424298223717288724316277966352e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=167.8MB, alloc=4.3MB, time=7.10
x[1] = 0.682
y[1] (analytic) = 0.09632656700984609664078623260276
y[1] (numeric) = 0.096326567009846096640786232602759
absolute error = 1e-33
relative error = 1.0381352009542540894787870751671e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.683
y[1] (analytic) = 0.09672439365298823053451029263847
y[1] (numeric) = 0.096724393652988230534510292638477
absolute error = 7e-33
relative error = 7.2370575153083319820092607297777e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.684
y[1] (analytic) = 0.09712319939822938504369852584938
y[1] (numeric) = 0.097123199398229385043698525849389
absolute error = 9e-33
relative error = 9.2665810596886859455956591015409e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.685
y[1] (analytic) = 0.09752298465034644427807787377702
y[1] (numeric) = 0.097522984650346444278077873777024
absolute error = 4e-33
relative error = 4.1015971920274799046753929049597e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.686
y[1] (analytic) = 0.09792374981019826614976537093687
y[1] (numeric) = 0.097923749810198266149765370936876
absolute error = 6e-33
relative error = 6.1272163409076581031645929996891e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.687
y[1] (analytic) = 0.09832549527472407893837097475622
y[1] (numeric) = 0.098325495274724078938370974756219
absolute error = 1e-33
relative error = 1.0170302190759101676719850649589e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.688
y[1] (analytic) = 0.09872822143694189353461369936808
y[1] (numeric) = 0.09872822143694189353461369936808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.689
y[1] (analytic) = 0.09913192868594693136880207667983
y[1] (numeric) = 0.099131928685946931368802076679838
absolute error = 8e-33
relative error = 8.0700538222596794913531870306736e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.69
y[1] (analytic) = 0.09953661740691006803046722869849
y[1] (numeric) = 0.099536617406910068030467228698495
absolute error = 5e-33
relative error = 5.0232769911798189583150001826787e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.691
y[1] (analytic) = 0.09994228798107629258537407050516
y[1] (numeric) = 0.099942287981076292585374070505165
absolute error = 5e-33
relative error = 5.0028872672464049939874144991507e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.692
y[1] (analytic) = 0.10034894078576318259607337377972
y[1] (numeric) = 0.10034894078576318259607337377973
absolute error = 1e-32
relative error = 9.9652272577038812237922756718880e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.693
y[1] (analytic) = 0.10075657619435939485209460663406
y[1] (numeric) = 0.10075657619435939485209460663408
absolute error = 2e-32
relative error = 1.9849820979843546950575182311667e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.694
y[1] (analytic) = 0.10116519457632317181581662697024
y[1] (numeric) = 0.10116519457632317181581662697026
absolute error = 2e-32
relative error = 1.9769645166758592800409780951209e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=171.6MB, alloc=4.3MB, time=7.26
x[1] = 0.695
y[1] (analytic) = 0.10157479629718086378999044388928
y[1] (numeric) = 0.10157479629718086378999044388929
absolute error = 1e-32
relative error = 9.8449619044695469262885909437771e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.696
y[1] (analytic) = 0.10198538171852546681282537508922
y[1] (numeric) = 0.10198538171852546681282537508924
absolute error = 2e-32
relative error = 1.9610653667207910114732919840074e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.697
y[1] (analytic) = 0.10239695119801517628648701795836
y[1] (numeric) = 0.10239695119801517628648701795837
absolute error = 1e-32
relative error = 9.7659157650719548102588926736162e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.698
y[1] (analytic) = 0.10280950508937195634479251844303
y[1] (numeric) = 0.10280950508937195634479251844305
absolute error = 2e-32
relative error = 1.9453454213804518748032513988428e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.699
y[1] (analytic) = 0.10322304374238012496582566500176
y[1] (numeric) = 0.10322304374238012496582566500178
absolute error = 2e-32
relative error = 1.9375518561451439763038233908386e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.7
y[1] (analytic) = 0.10363756750288495483513135529848
y[1] (numeric) = 0.1036375675028849548351313552985
absolute error = 2e-32
relative error = 1.9298021443279494954652831324003e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.701
y[1] (analytic) = 0.10405307671279128996508598099174
y[1] (numeric) = 0.10405307671279128996508598099176
absolute error = 2e-32
relative error = 1.9220959756148557309808557296142e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.702
y[1] (analytic) = 0.10446957171006217807597725129372
y[1] (numeric) = 0.10446957171006217807597725129374
absolute error = 2e-32
relative error = 1.9144330423318528242183077837838e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.703
y[1] (analytic) = 0.10488705282871751874426392915623
y[1] (numeric) = 0.10488705282871751874426392915626
absolute error = 3e-32
relative error = 2.8602195591280985177803424674327e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.704
y[1] (analytic) = 0.10530552039883272732342288524244
y[1] (numeric) = 0.10530552039883272732342288524246
absolute error = 2e-32
relative error = 1.8992356644031828543856530632877e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.705
y[1] (analytic) = 0.10572497474653741464272778451444
y[1] (numeric) = 0.10572497474653741464272778451447
absolute error = 3e-32
relative error = 2.8375509260627679864931739356699e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.706
y[1] (analytic) = 0.1061454161940140824892406085618
y[1] (numeric) = 0.10614541619401408248924060856183
absolute error = 3e-32
relative error = 2.8263114014424870370309358596010e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.707
y[1] (analytic) = 0.10656684505949683487823408396533
y[1] (numeric) = 0.10656684505949683487823408396536
absolute error = 3e-32
relative error = 2.8151344804522307914484127590746e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.708
y[1] (analytic) = 0.10698926165727010511719993328836
y[1] (numeric) = 0.10698926165727010511719993328838
absolute error = 2e-32
relative error = 1.8693464830207065417949957706256e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=175.4MB, alloc=4.3MB, time=7.43
x[1] = 0.709
y[1] (analytic) = 0.10741266629766739866853469096498
y[1] (numeric) = 0.107412666297667398668534690965
absolute error = 2e-32
relative error = 1.8619777992080553342859486927349e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.71
y[1] (analytic) = 0.10783705928707005181593163166608
y[1] (numeric) = 0.1078370592870700518159316316661
absolute error = 2e-32
relative error = 1.8546499813907715504531199668236e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.711
y[1] (analytic) = 0.10826244092790600613944414392012
y[1] (numeric) = 0.10826244092790600613944414392015
absolute error = 3e-32
relative error = 2.7710441167659949357825495887075e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.712
y[1] (analytic) = 0.1086888115186485988041226471013
y[1] (numeric) = 0.10868881151864859880412264710133
absolute error = 3e-32
relative error = 2.7601737088506725264353136919199e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.713
y[1] (analytic) = 0.1091161713538153686670638956243
y[1] (numeric) = 0.10911617135381536866706389562433
absolute error = 3e-32
relative error = 2.7493633278905378795110365855269e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.714
y[1] (analytic) = 0.10954452072396687820764824055676
y[1] (numeric) = 0.10954452072396687820764824055679
absolute error = 3e-32
relative error = 2.7386125569525085921489005680608e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.715
y[1] (analytic) = 0.10997385991570555128567712612954
y[1] (numeric) = 0.10997385991570555128567712612957
absolute error = 3e-32
relative error = 2.7279209825857580643554790626480e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.716
y[1] (analytic) = 0.1104041892116745267320597870451
y[1] (numeric) = 0.11040418921167452673205978704514
absolute error = 4e-32
relative error = 3.6230509263837118520165662371905e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.717
y[1] (analytic) = 0.1108355088905565277766347823088
y[1] (numeric) = 0.11083550889055652777663478230883
absolute error = 3e-32
relative error = 2.7067137869708538547961585391194e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.718
y[1] (analytic) = 0.11126781922707274731764865278935
y[1] (numeric) = 0.11126781922707274731764865278938
absolute error = 3e-32
relative error = 2.6961973559288248390908205861464e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.719
y[1] (analytic) = 0.11170112049198174903735062310776
y[1] (numeric) = 0.11170112049198174903735062310779
absolute error = 3e-32
relative error = 2.6857385018043299335347049069844e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.72
y[1] (analytic) = 0.1121354129520783843680988840105
y[1] (numeric) = 0.11213541295207838436809888401053
absolute error = 3e-32
relative error = 2.6753368280563292093995759750107e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.721
y[1] (analytic) = 0.1125706968701927253133105893579
y[1] (numeric) = 0.11257069687019272531331058935793
absolute error = 3e-32
relative error = 2.6649919414280195935782527515676e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=179.2MB, alloc=4.3MB, time=7.59
x[1] = 0.722
y[1] (analytic) = 0.11300697250518901312752428250479
y[1] (numeric) = 0.11300697250518901312752428250482
absolute error = 3e-32
relative error = 2.6547034519150993885649712579282e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.723
y[1] (analytic) = 0.11344424011196462285978003042202
y[1] (numeric) = 0.11344424011196462285978003042205
absolute error = 3e-32
relative error = 2.6444709727343830314713128149158e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.724
y[1] (analytic) = 0.11388249994144904376445909065756
y[1] (numeric) = 0.11388249994144904376445909065759
absolute error = 3e-32
relative error = 2.6342941202927617478436479071471e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.725
y[1] (analytic) = 0.11432175224060287558366146641924
y[1] (numeric) = 0.11432175224060287558366146641928
absolute error = 4e-32
relative error = 3.4988966855420077544687281443138e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.726
y[1] (analytic) = 0.11476199725241684070513621893049
y[1] (numeric) = 0.11476199725241684070513621893052
absolute error = 3e-32
relative error = 2.6141057770209042153156160269194e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.727
y[1] (analytic) = 0.1152032352159108121997159040207
y[1] (numeric) = 0.11520323521591081219971590402073
absolute error = 3e-32
relative error = 2.6040935346802374940526702038629e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.728
y[1] (analytic) = 0.11564546636613285774214298191664
y[1] (numeric) = 0.11564546636613285774214298191667
absolute error = 3e-32
relative error = 2.5941354159980797411505969869526e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.729
y[1] (analytic) = 0.1160886909341582994191125156544
y[1] (numeric) = 0.11608869093415829941911251565443
absolute error = 3e-32
relative error = 2.5842310528779256130592426967016e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.73
y[1] (analytic) = 0.1165329091470887894282919246875
y[1] (numeric) = 0.11653290914708878942829192468752
absolute error = 2e-32
relative error = 1.7162533868227589425407235239361e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.731
y[1] (analytic) = 0.11697812122805140167201499637972
y[1] (numeric) = 0.11697812122805140167201499637975
absolute error = 3e-32
relative error = 2.5645821359632152852803868760414e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.732
y[1] (analytic) = 0.1174243273961977392492837793956
y[1] (numeric) = 0.11742432739619773924928377939563
absolute error = 3e-32
relative error = 2.5548368609153656171654727362630e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.733
y[1] (analytic) = 0.11787152786670305784964838979062
y[1] (numeric) = 0.11787152786670305784964838979066
absolute error = 4e-32
relative error = 3.3935251984885317857989105477249e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.734
y[1] (analytic) = 0.11831972285076540505247115311352
y[1] (numeric) = 0.11831972285076540505247115311355
absolute error = 3e-32
relative error = 2.5355028964899178114705275761725e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.735
y[1] (analytic) = 0.11876891255560477553501788431611
y[1] (numeric) = 0.11876891255560477553501788431614
absolute error = 3e-32
relative error = 2.5259135033298140759390639280171e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=183.1MB, alloc=4.3MB, time=7.75
x[1] = 0.736
y[1] (analytic) = 0.1192190971844622821927554719795
y[1] (numeric) = 0.11921909718446228219275547197953
absolute error = 3e-32
relative error = 2.5163753717730612912551888027259e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.737
y[1] (analytic) = 0.1196702769365993431751712845609
y[1] (numeric) = 0.11967027693659934317517128456093
absolute error = 3e-32
relative error = 2.5068881570228032123768717350776e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.738
y[1] (analytic) = 0.12012245200729688484036625429959
y[1] (numeric) = 0.12012245200729688484036625429962
absolute error = 3e-32
relative error = 2.4974515170717326340085829299774e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.739
y[1] (analytic) = 0.12057562258785456063160981934696
y[1] (numeric) = 0.12057562258785456063160981934699
absolute error = 3e-32
relative error = 2.4880651126757577610933298137603e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.74
y[1] (analytic) = 0.12102978886558998587898121685933
y[1] (numeric) = 0.12102978886558998587898121685936
absolute error = 3e-32
relative error = 2.4787286073279525184756235540858e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.741
y[1] (analytic) = 0.12148495102383798852915791946815
y[1] (numeric) = 0.12148495102383798852915791946818
absolute error = 3e-32
relative error = 2.4694416672327873586834653030917e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.742
y[1] (analytic) = 0.12194110924194987580634829497478
y[1] (numeric) = 0.12194110924194987580634829497481
absolute error = 3e-32
relative error = 2.4602039612806371730624799105963e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.743
y[1] (analytic) = 0.12239826369529271680730184456142
y[1] (numeric) = 0.12239826369529271680730184456144
absolute error = 2e-32
relative error = 1.6340101073483753047308947717010e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.744
y[1] (analytic) = 0.12285641455524864103326663852072
y[1] (numeric) = 0.12285641455524864103326663852075
absolute error = 3e-32
relative error = 2.4418749406453639256756513042527e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.745
y[1] (analytic) = 0.12331556198921415286169982073908
y[1] (numeric) = 0.12331556198921415286169982073911
absolute error = 3e-32
relative error = 2.4327829769468968183432361766482e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.746
y[1] (analytic) = 0.12377570616059946196047329417742
y[1] (numeric) = 0.12377570616059946196047329417745
absolute error = 3e-32
relative error = 2.4237389493116591781581490805684e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.747
y[1] (analytic) = 0.12423684722882782964725292963411
y[1] (numeric) = 0.12423684722882782964725292963414
absolute error = 3e-32
relative error = 2.4147425396866334307937817239386e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.748
y[1] (analytic) = 0.12469898534933493119666585940158
y[1] (numeric) = 0.12469898534933493119666585940161
absolute error = 3e-32
relative error = 2.4057934325573886328278779129943e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.749
y[1] (analytic) = 0.12516212067356823409780662629715
y[1] (numeric) = 0.12516212067356823409780662629718
absolute error = 3e-32
relative error = 2.3968913149244367999038160118291e-29 %
Correct digits = 30
h = 0.001
memory used=186.9MB, alloc=4.3MB, time=7.91
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.75
y[1] (analytic) = 0.12562625334898639226456915721463
y[1] (numeric) = 0.12562625334898639226456915721466
absolute error = 3e-32
relative error = 2.3880358762798407665533043428462e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.751
y[1] (analytic) = 0.12609138351905865620122771906092
y[1] (numeric) = 0.12609138351905865620122771906095
absolute error = 3e-32
relative error = 2.3792268085840705699803188225550e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.752
y[1] (analytic) = 0.12655751132326429912562619396745
y[1] (numeric) = 0.12655751132326429912562619396748
absolute error = 3e-32
relative error = 2.3704638062431053900242899577470e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.753
y[1] (analytic) = 0.12702463689709205905227118025416
y[1] (numeric) = 0.12702463689709205905227118025419
absolute error = 3e-32
relative error = 2.3617465660857781168566266000670e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.754
y[1] (analytic) = 0.12749276037203959683756058602968
y[1] (numeric) = 0.12749276037203959683756058602971
absolute error = 3e-32
relative error = 2.3530747873413596567278953045095e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.755
y[1] (analytic) = 0.12796188187561297018931553379082
y[1] (numeric) = 0.12796188187561297018931553379085
absolute error = 3e-32
relative error = 2.3444481716173801242824464943855e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.756
y[1] (analytic) = 0.12843200153132612364271953719234
y[1] (numeric) = 0.12843200153132612364271953719237
absolute error = 3e-32
relative error = 2.3358664228776841076019255795453e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.757
y[1] (analytic) = 0.12890311945870039450470504555034
y[1] (numeric) = 0.12890311945870039450470504555036
absolute error = 2e-32
relative error = 1.5515528316138114861584728054872e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.758
y[1] (analytic) = 0.12937523577326403476876357787423
y[1] (numeric) = 0.12937523577326403476876357787425
absolute error = 2e-32
relative error = 1.5458909025720275087023294048306e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.759
y[1] (analytic) = 0.12984835058655174900209178654953
y[1] (numeric) = 0.12984835058655174900209178654955
absolute error = 2e-32
relative error = 1.5402583020620500684876806998620e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.76
y[1] (analytic) = 0.13032246400610424820692190147078
y[1] (numeric) = 0.13032246400610424820692190147081
absolute error = 3e-32
relative error = 2.3019822583000589133075770877008e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.761
y[1] (analytic) = 0.13079757613546781965782110870824
y[1] (numeric) = 0.13079757613546781965782110870825
absolute error = 1e-32
relative error = 7.6454016163441294403306026365615e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.762
y[1] (analytic) = 0.13127368707419391271668051393699
y[1] (numeric) = 0.13127368707419391271668051393701
absolute error = 2e-32
relative error = 1.5235345670375130799241825008240e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=190.7MB, alloc=4.3MB, time=8.07
x[1] = 0.763
y[1] (analytic) = 0.13175079691783874062705043012078
y[1] (numeric) = 0.13175079691783874062705043012079
absolute error = 1e-32
relative error = 7.5900869170727756573407862853373e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.764
y[1] (analytic) = 0.13222890575796289828941481157798
y[1] (numeric) = 0.13222890575796289828941481157799
absolute error = 1e-32
relative error = 7.5626429355048901136763214976004e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.765
y[1] (analytic) = 0.13270801368213099601893373282276
y[1] (numeric) = 0.13270801368213099601893373282277
absolute error = 1e-32
relative error = 7.5353399712187013160335979389863e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.766
y[1] (analytic) = 0.13318812077391130928711888072296
y[1] (numeric) = 0.13318812077391130928711888072297
absolute error = 1e-32
relative error = 7.5081771121128282372720775283938e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.767
y[1] (analytic) = 0.13366922711287544444884309280578
y[1] (numeric) = 0.13366922711287544444884309280579
absolute error = 1e-32
relative error = 7.4811534531845649034971599625465e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.768
y[1] (analytic) = 0.13415133277459802045602103322742
y[1] (numeric) = 0.13415133277459802045602103322743
absolute error = 1e-32
relative error = 7.4542680964654058636512426146839e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.769
y[1] (analytic) = 0.13463443783065636655923415125958
y[1] (numeric) = 0.1346344378306563665592341512596
absolute error = 2e-32
relative error = 1.4855040301914481194144469541092e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.77
y[1] (analytic) = 0.13511854234863023599850911538999
y[1] (numeric) = 0.13511854234863023599850911539001
absolute error = 2e-32
relative error = 1.4801817465138418115271990735846e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.771
y[1] (analytic) = 0.1356036463921015356843949595413
y[1] (numeric) = 0.13560364639210153568439495954132
absolute error = 2e-32
relative error = 1.4748865928110421308175258469220e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.772
y[1] (analytic) = 0.13608975002065407187042021673958
y[1] (numeric) = 0.1360897500206540718704202167396
absolute error = 2e-32
relative error = 1.4696183949904118131437263144363e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.773
y[1] (analytic) = 0.13657685328987331181794735006458
y[1] (numeric) = 0.1365768532898733118179473500646
absolute error = 2e-32
relative error = 1.4643769803036550781369552171738e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.774
y[1] (analytic) = 0.13706495625134616145437782114633
y[1] (numeric) = 0.13706495625134616145437782114635
absolute error = 2e-32
relative error = 1.4591621773347024442010574733360e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.775
y[1] (analytic) = 0.13755405895266075902559716309138
y[1] (numeric) = 0.1375540589526607590255971630914
absolute error = 2e-32
relative error = 1.4539738159877202667317489907656e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.776
y[1] (analytic) = 0.1380441614374062847434854477832
y[1] (numeric) = 0.13804416143740628474348544778322
absolute error = 2e-32
relative error = 1.4488117274752435562432994041174e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=194.5MB, alloc=4.3MB, time=8.24
TOP MAIN SOLVE Loop
x[1] = 0.777
y[1] (analytic) = 0.13853526374517278642925455726109
y[1] (numeric) = 0.13853526374517278642925455726111
absolute error = 2e-32
relative error = 1.4436757443064306516301848804958e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.778
y[1] (analytic) = 0.13902736591155102115330968559602
y[1] (numeric) = 0.13902736591155102115330968559604
absolute error = 2e-32
relative error = 1.4385657002754383420688304266298e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.779
y[1] (analytic) = 0.13952046796813231287226851160632
y[1] (numeric) = 0.13952046796813231287226851160635
absolute error = 3e-32
relative error = 2.1502221456748740736268628756811e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.78
y[1] (analytic) = 0.14001456994250842606370749414663
y[1] (numeric) = 0.14001456994250842606370749414665
absolute error = 2e-32
relative error = 1.4284227711596176980753288130517e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.781
y[1] (analytic) = 0.1405096718582714553591407508164
y[1] (numeric) = 0.14050967185827145535914075081642
absolute error = 2e-32
relative error = 1.4233895599851299260999306210381e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.782
y[1] (analytic) = 0.14100577373501373117567298802546
y[1] (numeric) = 0.14100577373501373117567298802549
absolute error = 3e-32
relative error = 2.1275724536200729350147154994471e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.783
y[1] (analytic) = 0.14150287558832774134670395567896
y[1] (numeric) = 0.14150287558832774134670395567898
absolute error = 2e-32
relative error = 1.4133988384932691560309297282453e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.784
y[1] (analytic) = 0.14200097742980606875199790355926
y[1] (numeric) = 0.14200097742980606875199790355928
absolute error = 2e-32
relative error = 1.4084410094913889686928755503079e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.785
y[1] (analytic) = 0.14250007926704134494736751904417
y[1] (numeric) = 0.14250007926704134494736751904419
absolute error = 2e-32
relative error = 1.4035079912145546135570020283198e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.786
y[1] (analytic) = 0.14300018110362621979415782736352
y[1] (numeric) = 0.14300018110362621979415782736355
absolute error = 3e-32
relative error = 2.0978994409986279067789106067076e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.787
y[1] (analytic) = 0.14350128293915334708865153641828
y[1] (numeric) = 0.1435012829391533470886515364183
absolute error = 2e-32
relative error = 1.3937157627002048425594540739429e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.788
y[1] (analytic) = 0.14400338476921538619145330852145
y[1] (numeric) = 0.14400338476921538619145330852147
absolute error = 2e-32
relative error = 1.3888562433482147086799846842638e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.789
y[1] (analytic) = 0.14450648658540501965684644152612
y[1] (numeric) = 0.14450648658540501965684644152613
absolute error = 1e-32
relative error = 6.9201045823571963471435623844854e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=198.3MB, alloc=4.3MB, time=8.40
x[1] = 0.79
y[1] (analytic) = 0.14501058837531498686205144193707
y[1] (numeric) = 0.14501058837531498686205144193709
absolute error = 2e-32
relative error = 1.3792096304192763888328930668057e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.791
y[1] (analytic) = 0.14551569012253813363625197301688
y[1] (numeric) = 0.14551569012253813363625197301691
absolute error = 3e-32
relative error = 2.0616333520280273336863913368508e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.792
y[1] (analytic) = 0.14602179180666747788918966184858
y[1] (numeric) = 0.1460217918066674778891896618486
absolute error = 2e-32
relative error = 1.3696585798974412509763141982843e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.793
y[1] (analytic) = 0.1465288934032962912390652510633
y[1] (numeric) = 0.14652889340329629123906525106332
absolute error = 2e-32
relative error = 1.3649185178074976921085054579712e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.794
y[1] (analytic) = 0.14703699488401819663941958373718
y[1] (numeric) = 0.1470369948840181966394195837372
absolute error = 2e-32
relative error = 1.3602019012817738110408901202610e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.795
y[1] (analytic) = 0.14754609621642728200460391406362
y[1] (numeric) = 0.14754609621642728200460391406364
absolute error = 2e-32
relative error = 1.3555085842910473305100535109365e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.796
y[1] (analytic) = 0.14805619736411822983338504207125
y[1] (numeric) = 0.14805619736411822983338504207127
absolute error = 2e-32
relative error = 1.3508384219009428225858411785520e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.797
y[1] (analytic) = 0.14856729828668646283016677813986
y[1] (numeric) = 0.14856729828668646283016677813989
absolute error = 3e-32
relative error = 2.0192869053935259672923204024434e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.798
y[1] (analytic) = 0.14907939893972830552324525262266
y[1] (numeric) = 0.14907939893972830552324525262268
absolute error = 2e-32
relative error = 1.3415669866019416642307013699428e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.799
y[1] (analytic) = 0.14959249927484116187945159776891
y[1] (numeric) = 0.14959249927484116187945159776894
absolute error = 3e-32
relative error = 2.0054481438191650375715104050690e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.8
y[1] (analytic) = 0.15010659923962370891447154361344
y[1] (numeric) = 0.15010659923962370891447154361347
absolute error = 3e-32
relative error = 1.9985796861675143478496881551556e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.801
y[1] (analytic) = 0.15062169877767610629806748681228
y[1] (numeric) = 0.15062169877767610629806748681231
absolute error = 3e-32
relative error = 1.9917448975450242456976032028790e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.802
y[1] (analytic) = 0.15113779782860022195336461181603
y[1] (numeric) = 0.15113779782860022195336461181606
absolute error = 3e-32
relative error = 1.9849435701069224744919372340355e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.803
y[1] (analytic) = 0.15165489632799987364929866753712
y[1] (numeric) = 0.15165489632799987364929866753714
absolute error = 2e-32
relative error = 1.3187836650353782478452717920996e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=202.1MB, alloc=4.3MB, time=8.56
x[1] = 0.804
y[1] (analytic) = 0.15217299420748108658525903004189
y[1] (numeric) = 0.15217299420748108658525903004192
absolute error = 3e-32
relative error = 1.9714404751145488277970931856527e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.805
y[1] (analytic) = 0.15269209139465236696689671303892
y[1] (numeric) = 0.15269209139465236696689671303895
absolute error = 3e-32
relative error = 1.9647382995404220354534062099029e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.806
y[1] (analytic) = 0.15321218781312499157200302329607
y[1] (numeric) = 0.1532121878131249915720030232961
absolute error = 3e-32
relative error = 1.9580687690845725519256807537027e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.807
y[1] (analytic) = 0.15373328338251331330530059785786
y[1] (numeric) = 0.1537332833825133133053005978579
absolute error = 4e-32
relative error = 2.6019089113236149481762936451306e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.808
y[1] (analytic) = 0.15425537801843508274092460430648
y[1] (numeric) = 0.15425537801843508274092460430651
absolute error = 3e-32
relative error = 1.9448268439894974437408746141629e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.809
y[1] (analytic) = 0.15477847163251178565130793457014
y[1] (numeric) = 0.15477847163251178565130793457017
absolute error = 3e-32
relative error = 1.9382540532657895795014676784757e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.81
y[1] (analytic) = 0.1553025641323689965211202771883
y[1] (numeric) = 0.15530256413236899652112027718833
absolute error = 3e-32
relative error = 1.9317131154660207241592990727952e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.811
y[1] (analytic) = 0.15582765542163674804484701274864
y[1] (numeric) = 0.15582765542163674804484701274867
absolute error = 3e-32
relative error = 1.9252038361756988205425664121962e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.812
y[1] (analytic) = 0.15635374539994991660652994267293
y[1] (numeric) = 0.15635374539994991660652994267296
absolute error = 3e-32
relative error = 1.9187260224090295205063987514667e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.813
y[1] (analytic) = 0.15688083396294862374012793290282
y[1] (numeric) = 0.15688083396294862374012793290285
absolute error = 3e-32
relative error = 1.9122794825966605112752163655474e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.814
y[1] (analytic) = 0.15740892100227865356889163157834
y[1] (numeric) = 0.15740892100227865356889163157837
absolute error = 3e-32
relative error = 1.9058640265735459563567303414908e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.815
y[1] (analytic) = 0.15793800640559188622208250376672
y[1] (numeric) = 0.15793800640559188622208250376675
absolute error = 3e-32
relative error = 1.8994794655669297276084121068571e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.816
y[1] (analytic) = 0.15846809005654674722730251694335
y[1] (numeric) = 0.15846809005654674722730251694338
absolute error = 3e-32
relative error = 1.8931256121844461212239876893106e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=206.0MB, alloc=4.3MB, time=8.73
x[1] = 0.817
y[1] (analytic) = 0.15899917183480867287663690850528
y[1] (numeric) = 0.15899917183480867287663690850531
absolute error = 3e-32
relative error = 1.8868022804023367663766819281824e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.818
y[1] (analytic) = 0.15953125161605059156474857136674
y[1] (numeric) = 0.15953125161605059156474857136677
absolute error = 3e-32
relative error = 1.8805092855537824510107403740664e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.819
y[1] (analytic) = 0.16006432927195342109699870590084
y[1] (numeric) = 0.16006432927195342109699870590087
absolute error = 3e-32
relative error = 1.8742464443173486048163270508109e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.82
y[1] (analytic) = 0.16059840467020658196560450640802
y[1] (numeric) = 0.16059840467020658196560450640805
absolute error = 3e-32
relative error = 1.8680135747055431947583208107484e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.821
y[1] (analytic) = 0.16113347767450852659178077816474
y[1] (numeric) = 0.16113347767450852659178077816478
absolute error = 4e-32
relative error = 2.4824139947379810715464654541167e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.822
y[1] (analytic) = 0.1616695481445672845317485171918
y[1] (numeric) = 0.16166954814456728453174851719183
absolute error = 3e-32
relative error = 1.8556370290076866772695949104968e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.823
y[1] (analytic) = 0.16220661593610102364442962943458
y[1] (numeric) = 0.16220661593610102364442962943461
absolute error = 3e-32
relative error = 1.8494929955149345399709332422333e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.824
y[1] (analytic) = 0.16274468090083862721858311932498
y[1] (numeric) = 0.16274468090083862721858311932501
absolute error = 3e-32
relative error = 1.8433782188112919938236923445011e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.825
y[1] (analytic) = 0.16328374288652028705707423994946
y[1] (numeric) = 0.16328374288652028705707423994949
absolute error = 3e-32
relative error = 1.8372925234111973299686447024471e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.826
y[1] (analytic) = 0.16382380173689811251590426853746
y[1] (numeric) = 0.1638238017368981125159042685375
absolute error = 4e-32
relative error = 2.4416476467955621274313551977155e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.827
y[1] (analytic) = 0.16436485729173675549556475196326
y[1] (numeric) = 0.16436485729173675549556475196331
absolute error = 5e-32
relative error = 3.0420128015110496224335410522541e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.828
y[1] (analytic) = 0.16490690938681405138221625767746
y[1] (numeric) = 0.16490690938681405138221625767751
absolute error = 5e-32
relative error = 3.0320136485438249088798815942155e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.829
y[1] (analytic) = 0.16544995785392167593612786620772
y[1] (numeric) = 0.16544995785392167593612786620778
absolute error = 6e-32
relative error = 3.6264741785534286461649766330686e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.83
y[1] (analytic) = 0.16599400252086581812474985234676
y[1] (numeric) = 0.16599400252086581812474985234681
absolute error = 5e-32
relative error = 3.0121570201739600769844782625952e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=209.8MB, alloc=4.3MB, time=8.89
x[1] = 0.831
y[1] (analytic) = 0.16653904321146786889772822363375
y[1] (numeric) = 0.1665390432114678688977282236338
absolute error = 5e-32
relative error = 3.0022989826182094270345342503514e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.832
y[1] (analytic) = 0.1670850797455651259011060169896
y[1] (numeric) = 0.16708507974556512590110601698964
absolute error = 4e-32
relative error = 2.3939899397906415637150287331204e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.833
y[1] (analytic) = 0.16763211193901151412789249764032
y[1] (numeric) = 0.16763211193901151412789249764036
absolute error = 4e-32
relative error = 2.3861776563760609440047500166980e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.834
y[1] (analytic) = 0.16818013960367832250211765901272
y[1] (numeric) = 0.16818013960367832250211765901276
absolute error = 4e-32
relative error = 2.3784021165793554257193748293454e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.835
y[1] (analytic) = 0.16872916254745495639342568836644
y[1] (numeric) = 0.16872916254745495639342568836648
absolute error = 4e-32
relative error = 2.3706631026957197505088746871975e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.836
y[1] (analytic) = 0.16927918057424970605919734079184
y[1] (numeric) = 0.16927918057424970605919734079188
absolute error = 4e-32
relative error = 2.3629603985739456304631670029034e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.837
y[1] (analytic) = 0.16983019348399053101112745410883
y[1] (numeric) = 0.16983019348399053101112745410888
absolute error = 5e-32
relative error = 2.9441172370043478376265656797118e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.838
y[1] (analytic) = 0.1703822010726258603031201394025
y[1] (numeric) = 0.17038220107262586030312013940254
absolute error = 4e-32
relative error = 2.3476630627015961037470029205487e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.839
y[1] (analytic) = 0.1709352031321254087373004966816
y[1] (numeric) = 0.17093520313212540873730049668164
absolute error = 4e-32
relative error = 2.3400680063007124295774141751081e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.84
y[1] (analytic) = 0.1714891994504810089848780327016
y[1] (numeric) = 0.17148919945048100898487803270165
absolute error = 5e-32
relative error = 2.9156355129197470466216939953957e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.841
y[1] (analytic) = 0.17204418981170745961853329860791
y[1] (numeric) = 0.17204418981170745961853329860795
absolute error = 4e-32
relative error = 2.3249840662319207418584759421279e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.842
y[1] (analytic) = 0.17260017399584338905293561898343
y[1] (numeric) = 0.17260017399584338905293561898347
absolute error = 4e-32
relative error = 2.3174947668919089509019111682937e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.843
y[1] (analytic) = 0.17315715177895213538993615138167
y[1] (numeric) = 0.17315715177895213538993615138171
absolute error = 4e-32
relative error = 2.3100403066841240086675866255081e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.844
y[1] (analytic) = 0.17371512293312264216491689674601
y[1] (numeric) = 0.17371512293312264216491689674605
absolute error = 4e-32
relative error = 2.3026204814303540739801284732765e-29 %
memory used=213.6MB, alloc=4.3MB, time=9.06
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.845
y[1] (analytic) = 0.1742740872264703699907126765136
y[1] (numeric) = 0.17427408722647036999071267651364
absolute error = 4e-32
relative error = 2.2952350883938199045953716070030e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.846
y[1] (analytic) = 0.17483404442313822409545950193148
y[1] (numeric) = 0.17483404442313822409545950193151
absolute error = 3e-32
relative error = 1.7159129447004706010062460310483e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.847
y[1] (analytic) = 0.17539499428329749775065918542804
y[1] (numeric) = 0.17539499428329749775065918542807
absolute error = 3e-32
relative error = 1.7104250963709993348394298840353e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.848
y[1] (analytic) = 0.1759569365631488315856864830395
y[1] (numeric) = 0.17595693656314883158568648303954
absolute error = 4e-32
relative error = 2.2732834965926154512649885499059e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.849
y[1] (analytic) = 0.17651987101492318878490151114174
y[1] (numeric) = 0.17651987101492318878490151114177
absolute error = 3e-32
relative error = 1.6995253751043000817884575449750e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.85
y[1] (analytic) = 0.17708379738688284616346665033803
y[1] (numeric) = 0.17708379738688284616346665033806
absolute error = 3e-32
relative error = 1.6941132075713096468769074594324e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.851
y[1] (analytic) = 0.1776487154233224011179036345568
y[1] (numeric) = 0.17764871542332240111790363455683
absolute error = 3e-32
relative error = 1.6887259740951375067130412855325e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.852
y[1] (analytic) = 0.17821462486456979444736302447328
y[1] (numeric) = 0.17821462486456979444736302447331
absolute error = 3e-32
relative error = 1.6833635299458631348598961121024e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.853
y[1] (analytic) = 0.17878152544698734904151478154118
y[1] (numeric) = 0.17878152544698734904151478154121
absolute error = 3e-32
relative error = 1.6780257314056568579753222587745e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.854
y[1] (analytic) = 0.17934941690297282443090519245692
y[1] (numeric) = 0.17934941690297282443090519245695
absolute error = 3e-32
relative error = 1.6727124357605163733604098749451e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.855
y[1] (analytic) = 0.17991829896096048719556194403472
y[1] (numeric) = 0.17991829896096048719556194403475
absolute error = 3e-32
relative error = 1.6674235012920803632603991364808e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.856
y[1] (analytic) = 0.1804881713454221972275657154996
y[1] (numeric) = 0.18048817134542219722756571549964
absolute error = 4e-32
relative error = 2.2162117163593578629243018953721e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.857
y[1] (analytic) = 0.18105903377686850984324323936018
y[1] (numeric) = 0.18105903377686850984324323936022
absolute error = 4e-32
relative error = 2.2092242052553284306653160047050e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=217.4MB, alloc=4.4MB, time=9.22
x[1] = 0.858
y[1] (analytic) = 0.18163088597184979374057338355849
y[1] (numeric) = 0.18163088597184979374057338355853
absolute error = 4e-32
relative error = 2.2022686167042884754682518995958e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.859
y[1] (analytic) = 0.18220372764295736479733442676316
y[1] (numeric) = 0.18220372764295736479733442676321
absolute error = 5e-32
relative error = 2.7441809586892184827490232265159e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.86
y[1] (analytic) = 0.18277755849882463570545733572863
y[1] (numeric) = 0.18277755849882463570545733572867
absolute error = 4e-32
relative error = 2.1884524735161741910327272849669e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.861
y[1] (analytic) = 0.1833523782441282814369865088399
y[1] (numeric) = 0.18335237824412828143698650883994
absolute error = 4e-32
relative error = 2.1815915551824029401782683797598e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.862
y[1] (analytic) = 0.18392818657958942053698612355416
y[1] (numeric) = 0.1839281865795894205369861235542
absolute error = 4e-32
relative error = 2.1747618319876815943387015831274e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.863
y[1] (analytic) = 0.18450498320197481223866691768862
y[1] (numeric) = 0.18450498320197481223866691768867
absolute error = 5e-32
relative error = 2.7099539065167555315068990886135e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.864
y[1] (analytic) = 0.18508276780409806939594494564383
y[1] (numeric) = 0.18508276780409806939594494564388
absolute error = 5e-32
relative error = 2.7014940717183779322180863521862e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.865
y[1] (analytic) = 0.18566154007482088722858058094448
y[1] (numeric) = 0.18566154007482088722858058094453
absolute error = 5e-32
relative error = 2.6930725652631229994971691891279e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.866
y[1] (analytic) = 0.18624129969905428787498278618025
y[1] (numeric) = 0.1862412996990542878749827861803
absolute error = 5e-32
relative error = 2.6846891683420685615973688039169e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.867
y[1] (analytic) = 0.18682204635775988074770044078876
y[1] (numeric) = 0.18682204635775988074770044078881
absolute error = 5e-32
relative error = 2.6763436636515136444452106028775e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.868
y[1] (analytic) = 0.18740377972795113868655930639605
y[1] (numeric) = 0.18740377972795113868655930639609
absolute error = 4e-32
relative error = 2.1344286683047102292550343490695e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.869
y[1] (analytic) = 0.187986499482694689904340018868
y[1] (numeric) = 0.18798649948269468990434001886805
absolute error = 5e-32
relative error = 2.6597654692007713363812485630889e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.87
y[1] (analytic) = 0.18857020529111162571982932608362
y[1] (numeric) = 0.18857020529111162571982932608366
absolute error = 4e-32
relative error = 2.1212258818008204691190987989521e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.871
y[1] (analytic) = 0.18915489681837882407301364096852
y[1] (numeric) = 0.18915489681837882407301364096857
absolute error = 5e-32
relative error = 2.6433362731290316120980590606920e-29 %
Correct digits = 30
h = 0.001
memory used=221.2MB, alloc=4.4MB, time=9.38
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.872
y[1] (analytic) = 0.18974057372573028881712085077952
y[1] (numeric) = 0.18974057372573028881712085077956
absolute error = 4e-32
relative error = 2.1081416175024293568596402946949e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.873
y[1] (analytic) = 0.19032723567045850478215321625828
y[1] (numeric) = 0.19032723567045850478215321625833
absolute error = 5e-32
relative error = 2.6270543899756072309649364634064e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.874
y[1] (analytic) = 0.19091488230591580860449110832982
y[1] (numeric) = 0.19091488230591580860449110832986
absolute error = 4e-32
relative error = 2.0951745362577496057807104609008e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.875
y[1] (analytic) = 0.191503513281515775317084265758
y[1] (numeric) = 0.19150351328151577531708426575805
absolute error = 5e-32
relative error = 2.6109181572297598043437002055252e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.876
y[1] (analytic) = 0.1920931282427346206946842148424
y[1] (numeric) = 0.19209312824273462069468421484245
absolute error = 5e-32
relative error = 2.6029041464106152163673368275286e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.877
y[1] (analytic) = 0.1926837268311126193485084720962
y[1] (numeric) = 0.19268372683111261934850847209625
absolute error = 5e-32
relative error = 2.5949259349662166548245508117768e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.878
y[1] (analytic) = 0.19327530868425553856466415313934
y[1] (numeric) = 0.1932753086842555385646641531394
absolute error = 6e-32
relative error = 3.1043799856514045809138422504057e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.879
y[1] (analytic) = 0.19386787343583608788059563602422
y[1] (numeric) = 0.19386787343583608788059563602428
absolute error = 6e-32
relative error = 3.0948913265847543074128316899678e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.88
y[1] (analytic) = 0.19446142071559538439375797513602
y[1] (numeric) = 0.19446142071559538439375797513606
absolute error = 4e-32
relative error = 2.0569632708022320188057615644550e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.881
y[1] (analytic) = 0.1950559501493444337966548329277
y[1] (numeric) = 0.19505595014934443379665483292774
absolute error = 4e-32
relative error = 2.0506936583772005760360874202722e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.882
y[1] (analytic) = 0.19565146135896562713231679131292
y[1] (numeric) = 0.19565146135896562713231679131296
absolute error = 4e-32
relative error = 2.0444518902218268898317678665241e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.883
y[1] (analytic) = 0.19624795396241425326423302279892
y[1] (numeric) = 0.19624795396241425326423302279895
absolute error = 3e-32
relative error = 1.5286783578770788998881284705831e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.884
y[1] (analytic) = 0.19684542757372002705468644364954
y[1] (numeric) = 0.19684542757372002705468644364958
absolute error = 4e-32
relative error = 2.0320512644379160181870469627742e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=225.0MB, alloc=4.4MB, time=9.55
x[1] = 0.885
y[1] (analytic) = 0.19744388180298863324537963777539
y[1] (numeric) = 0.19744388180298863324537963777544
absolute error = 5e-32
relative error = 2.5323651228600981112010350469071e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.886
y[1] (analytic) = 0.19804331625640328603417603090578
y[1] (numeric) = 0.19804331625640328603417603090583
absolute error = 5e-32
relative error = 2.5247001991860132895248402894393e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.887
y[1] (analytic) = 0.19864373053622630434171801015728
y[1] (numeric) = 0.19864373053622630434171801015733
absolute error = 5e-32
relative error = 2.5170691199278292249568588793018e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.888
y[1] (analytic) = 0.1992451242408007027616209246268
y[1] (numeric) = 0.19924512424080070276162092462685
absolute error = 5e-32
relative error = 2.5094716967614095884196156819718e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.889
y[1] (analytic) = 0.19984749696455179818787916835439
y[1] (numeric) = 0.19984749696455179818787916835444
absolute error = 5e-32
relative error = 2.5019077426258089716075220139235e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.89
y[1] (analytic) = 0.2004508482979888321130578381736
y[1] (numeric) = 0.20045084829798883211305783817365
absolute error = 5e-32
relative error = 2.4943770717133782818945285164689e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.891
y[1] (analytic) = 0.20105517782770660859078077584592
y[1] (numeric) = 0.20105517782770660859078077584596
absolute error = 4e-32
relative error = 1.9895035995679669706910720987415e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.892
y[1] (analytic) = 0.20166048513638714785596314671093
y[1] (numeric) = 0.20166048513638714785596314671097
absolute error = 4e-32
relative error = 1.9835318740281307218908536722190e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.893
y[1] (analytic) = 0.20226676980280135559617407612686
y[1] (numeric) = 0.2022667698028013555961740761269
absolute error = 4e-32
relative error = 1.9775863350661967087652819590820e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.894
y[1] (analytic) = 0.20287403140181070786745226047652
y[1] (numeric) = 0.20287403140181070786745226047656
absolute error = 4e-32
relative error = 1.9716668379688435931800342467156e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.895
y[1] (analytic) = 0.20348226950436895164783489172284
y[1] (numeric) = 0.20348226950436895164783489172289
absolute error = 5e-32
relative error = 2.4572165487335717951107445063355e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.896
y[1] (analytic) = 0.20409148367752382102179768366572
y[1] (numeric) = 0.20409148367752382102179768366577
absolute error = 5e-32
relative error = 2.4498817441595382970757453513716e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.897
y[1] (analytic) = 0.2047016734844187689887412644282
y[1] (numeric) = 0.20470167348441876898874126442824
absolute error = 4e-32
relative error = 1.9540631651477275762806998886508e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.898
y[1] (analytic) = 0.20531283848429471488859670353562
y[1] (numeric) = 0.20531283848429471488859670353567
absolute error = 5e-32
relative error = 2.4353080094318953494094912370006e-29 %
Correct digits = 30
h = 0.001
memory used=228.8MB, alloc=4.4MB, time=9.71
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.899
y[1] (analytic) = 0.20592497823249180743756047349556
y[1] (numeric) = 0.2059249782324918074375604734956
absolute error = 4e-32
relative error = 1.9424549825538654676459735772414e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.9
y[1] (analytic) = 0.20653809228045120336690670528916
y[1] (numeric) = 0.2065380922804512033669067052892
absolute error = 4e-32
relative error = 1.9366887511329063173374561897650e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.901
y[1] (analytic) = 0.20715218017571686165776218489678
y[1] (numeric) = 0.20715218017571686165776218489681
absolute error = 3e-32
relative error = 1.4482106813721437256901545024083e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.902
y[1] (analytic) = 0.20776724146193735336466715414982
y[1] (numeric) = 0.20776724146193735336466715414986
absolute error = 4e-32
relative error = 1.9252313174369184630430670978358e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.903
y[1] (analytic) = 0.20838327567886768702068262407906
y[1] (numeric) = 0.2083832756788676870206826240791
absolute error = 4e-32
relative error = 1.9195398416542135041891279598003e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.904
y[1] (analytic) = 0.20900028236237114961674258276372
y[1] (numeric) = 0.20900028236237114961674258276376
absolute error = 4e-32
relative error = 1.9138730124128140471672202176618e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.905
y[1] (analytic) = 0.20961826104442116314788718272741
y[1] (numeric) = 0.20961826104442116314788718272745
absolute error = 4e-32
relative error = 1.9082306952028104696689081709404e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.906
y[1] (analytic) = 0.21023721125310315671895072542334
y[1] (numeric) = 0.21023721125310315671895072542338
absolute error = 4e-32
relative error = 1.9026127563994496927642141556238e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.907
y[1] (analytic) = 0.21085713251261645420221602255318
y[1] (numeric) = 0.21085713251261645420221602255323
absolute error = 5e-32
relative error = 2.3712738290704154024034244097274e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.908
y[1] (analytic) = 0.2114780243432761774394845061189
y[1] (numeric) = 0.21147802434327617743948450611895
absolute error = 5e-32
relative error = 2.3643118548733369297238357574280e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.909
y[1] (analytic) = 0.21209988626151516498094928146473
y[1] (numeric) = 0.21209988626151516498094928146478
absolute error = 5e-32
relative error = 2.3573798591457489855168167095634e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.91
y[1] (analytic) = 0.21272271777988590635319617037548
y[1] (numeric) = 0.21272271777988590635319617037554
absolute error = 6e-32
relative error = 2.8205732150378405600877372805341e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.911
y[1] (analytic) = 0.21334651840706249184859567480596
y[1] (numeric) = 0.21334651840706249184859567480601
absolute error = 5e-32
relative error = 2.3436051534059076902552535910402e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=232.7MB, alloc=4.4MB, time=9.87
x[1] = 0.912
y[1] (analytic) = 0.21397128764784257782828670627331
y[1] (numeric) = 0.21397128764784257782828670627336
absolute error = 5e-32
relative error = 2.3367621212006169950732546241508e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.913
y[1] (analytic) = 0.21459702500314936753089087159794
y[1] (numeric) = 0.21459702500314936753089087159799
absolute error = 5e-32
relative error = 2.3299484230625384302869830252004e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.914
y[1] (analytic) = 0.21522372997003360737903408277679
y[1] (numeric) = 0.21522372997003360737903408277684
absolute error = 5e-32
relative error = 2.3231639005123498304095355944286e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.915
y[1] (analytic) = 0.2158514020416755987756902675643
y[1] (numeric) = 0.21585140204167559877569026756435
absolute error = 5e-32
relative error = 2.3164083961032705874357020852302e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.916
y[1] (analytic) = 0.2164800407073872253822999980687
y[1] (numeric) = 0.21648004070738722538229999806875
absolute error = 5e-32
relative error = 2.3096817534132044364778743825669e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.917
y[1] (analytic) = 0.21710964545261399587055492759204
y[1] (numeric) = 0.2171096454526139958705549275921
absolute error = 6e-32
relative error = 2.7635805804443406951119992423220e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.918
y[1] (analytic) = 0.21774021575893710213967703129998
y[1] (numeric) = 0.21774021575893710213967703130005
absolute error = 7e-32
relative error = 3.2148402056098754679392487683448e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.919
y[1] (analytic) = 0.21837175110407549299095978434857
y[1] (numeric) = 0.21837175110407549299095978434863
absolute error = 6e-32
relative error = 2.7476081359719523827179779845742e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.92
y[1] (analytic) = 0.21900425096188796325127658206822
y[1] (numeric) = 0.21900425096188796325127658206828
absolute error = 6e-32
relative error = 2.7396728481969718125241447652395e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.921
y[1] (analytic) = 0.21963771480237525833719991095683
y[1] (numeric) = 0.21963771480237525833719991095689
absolute error = 6e-32
relative error = 2.7317712740722402448977614677350e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.922
y[1] (analytic) = 0.22027214209168219425131301681126
y[1] (numeric) = 0.22027214209168219425131301681132
absolute error = 6e-32
relative error = 2.7239032330755042762665469575783e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.923
y[1] (analytic) = 0.22090753229209979300223408757724
y[1] (numeric) = 0.2209075322920997930022340875773
absolute error = 6e-32
relative error = 2.7160685458503829556034521932927e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.924
y[1] (analytic) = 0.22154388486206743343981127366824
y[1] (numeric) = 0.22154388486206743343981127366831
absolute error = 7e-32
relative error = 3.1596448732305020595961170209868e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.925
y[1] (analytic) = 0.22218119925617501749688520784097
y[1] (numeric) = 0.22218119925617501749688520784103
absolute error = 6e-32
relative error = 2.7004985210661310011004633373802e-29 %
Correct digits = 30
h = 0.001
memory used=236.5MB, alloc=4.4MB, time=10.03
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.926
y[1] (analytic) = 0.22281947492516515182895406046564
y[1] (numeric) = 0.2228194749251651518289540604657
absolute error = 6e-32
relative error = 2.6927628305448278144648626201789e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.927
y[1] (analytic) = 0.2234587113159353448430145744399
y[1] (numeric) = 0.22345871131593534484301457443996
absolute error = 6e-32
relative error = 2.6850597878535811924573720016042e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.928
y[1] (analytic) = 0.22409890787154021910679096731136
y[1] (numeric) = 0.22409890787154021910679096731141
absolute error = 5e-32
relative error = 2.2311576827791326277592006899192e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.929
y[1] (analytic) = 0.2247400640311937391295020666431
y[1] (numeric) = 0.22474006403119373912950206664316
absolute error = 6e-32
relative error = 2.6697509524457574473622440757406e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.93
y[1] (analytic) = 0.2253821792302714545052555585242
y[1] (numeric) = 0.22538217923027145450525555852426
absolute error = 6e-32
relative error = 2.6621448157486490587791016828612e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.931
y[1] (analytic) = 0.2260252529003127584100967786387
y[1] (numeric) = 0.22602525290031275841009677863876
absolute error = 6e-32
relative error = 2.6545706389039052401718906547965e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.932
y[1] (analytic) = 0.22666928446902316144367806070963
y[1] (numeric) = 0.22666928446902316144367806070969
absolute error = 6e-32
relative error = 2.6470282526611873909925743007994e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.933
y[1] (analytic) = 0.22731427336027658080645327867218
y[1] (numeric) = 0.22731427336027658080645327867224
absolute error = 6e-32
relative error = 2.6395174888514090980014205662941e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.934
y[1] (analytic) = 0.22796021899411764480324087685025
y[1] (numeric) = 0.22796021899411764480324087685031
absolute error = 6e-32
relative error = 2.6320381803786676633628733357678e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.935
y[1] (analytic) = 0.22860712078676401266393737695684
y[1] (numeric) = 0.2286071207867640126639373769569
absolute error = 6e-32
relative error = 2.6245901612122444531314871702488e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.936
y[1] (analytic) = 0.22925497815060870967210208215738
y[1] (numeric) = 0.22925497815060870967210208215744
absolute error = 6e-32
relative error = 2.6171732663786734060029322089116e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.937
y[1] (analytic) = 0.2299037904942224775920724669707
y[1] (numeric) = 0.22990379049422247759207246697075
absolute error = 5e-32
relative error = 2.1748227766282308743632514390562e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.938
y[1] (analytic) = 0.23055355722235614038520854767994
y[1] (numeric) = 0.23055355722235614038520854768
absolute error = 6e-32
relative error = 2.6024321950553693755992749791960e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=240.3MB, alloc=4.4MB, time=10.19
x[1] = 0.939
y[1] (analytic) = 0.23120427773594298520580337143032
y[1] (numeric) = 0.23120427773594298520580337143037
absolute error = 5e-32
relative error = 2.1625897448621041183884605267019e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.94
y[1] (analytic) = 0.23185595143210115866713564354622
y[1] (numeric) = 0.23185595143210115866713564354627
absolute error = 5e-32
relative error = 2.1565113895574279648028557835893e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.941
y[1] (analytic) = 0.23250857770413607836807943205246
y[1] (numeric) = 0.23250857770413607836807943205251
absolute error = 5e-32
relative error = 2.1504582967955832794944960388164e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.942
y[1] (analytic) = 0.23316215594154285967062484617594
y[1] (numeric) = 0.233162155941542859670624846176
absolute error = 6e-32
relative error = 2.5733164010991076869735806413734e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.943
y[1] (analytic) = 0.23381668553000875771860258198095
y[1] (numeric) = 0.233816685530008757718602581981
absolute error = 5e-32
relative error = 2.1384273704274558760778176402584e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.944
y[1] (analytic) = 0.23447216585141562468784426349572
y[1] (numeric) = 0.23447216585141562468784426349576
absolute error = 4e-32
relative error = 1.7059594197354704979749390312984e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.945
y[1] (analytic) = 0.23512859628384238225794958196542
y[1] (numeric) = 0.23512859628384238225794958196547
absolute error = 5e-32
relative error = 2.1264959171380852927719711076891e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.946
y[1] (analytic) = 0.23578597620156750929577034945955
y[1] (numeric) = 0.2357859762015675092957703494596
absolute error = 5e-32
relative error = 2.1205671688148346765441656268368e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.947
y[1] (analytic) = 0.23644430497507154474066073621438
y[1] (numeric) = 0.23644430497507154474066073621443
absolute error = 5e-32
relative error = 2.1146629014926592523700002376074e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.948
y[1] (analytic) = 0.23710358197103960568148215404679
y[1] (numeric) = 0.23710358197103960568148215404684
absolute error = 5e-32
relative error = 2.1087829877705988720913492559517e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.949
y[1] (analytic) = 0.23776380655236392061529048117732
y[1] (numeric) = 0.23776380655236392061529048117737
absolute error = 5e-32
relative error = 2.1029273010477416029601166045402e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.95
y[1] (analytic) = 0.23842497807814637787757259709126
y[1] (numeric) = 0.23842497807814637787757259709131
absolute error = 5e-32
relative error = 2.0970957155173547537026188252763e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.951
y[1] (analytic) = 0.23908709590370108923383850988952
y[1] (numeric) = 0.23908709590370108923383850988957
absolute error = 5e-32
relative error = 2.0912881061610651154570854243185e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.952
y[1] (analytic) = 0.23975015938055696862231471317888
y[1] (numeric) = 0.23975015938055696862231471317893
absolute error = 5e-32
relative error = 2.0855043487430879534627370021954e-29 %
Correct digits = 30
h = 0.001
memory used=244.1MB, alloc=4.4MB, time=10.36
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.953
y[1] (analytic) = 0.24041416785646032603742380516656
y[1] (numeric) = 0.24041416785646032603742380516662
absolute error = 6e-32
relative error = 2.4956931837654051482868930253656e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.954
y[1] (analytic) = 0.24107912067537747654367483949913
y[1] (numeric) = 0.24107912067537747654367483949918
absolute error = 5e-32
relative error = 2.0740078966575860257982723817320e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.955
y[1] (analytic) = 0.24174501717749736440952835576294
y[1] (numeric) = 0.241745017177497364409528355763
absolute error = 6e-32
relative error = 2.4819539488562021342189766268090e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.956
y[1] (analytic) = 0.24241185669923420235073955768506
y[1] (numeric) = 0.24241185669923420235073955768512
absolute error = 6e-32
relative error = 2.4751264569720836019749505468197e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.957
y[1] (analytic) = 0.24307963857323012587262266918062
y[1] (numeric) = 0.24307963857323012587262266918068
absolute error = 6e-32
relative error = 2.4683268558474679221292118787200e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.958
y[1] (analytic) = 0.24374836212835786270061910272864
y[1] (numeric) = 0.24374836212835786270061910272869
absolute error = 5e-32
relative error = 2.0512958349098569567589083984042e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.959
y[1] (analytic) = 0.24441802668972341728849172136258
y[1] (numeric) = 0.24441802668972341728849172136264
absolute error = 6e-32
relative error = 2.4548107524068602822829719289238e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.96
y[1] (analytic) = 0.24508863157866877039340716507824
y[1] (numeric) = 0.2450886315786687703934071650783
absolute error = 6e-32
relative error = 2.4480939655800047091139802055479e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.961
y[1] (analytic) = 0.24576017611277459370710794492878
y[1] (numeric) = 0.24576017611277459370710794492884
absolute error = 6e-32
relative error = 2.4414045004780253713029806107998e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.962
y[1] (analytic) = 0.24643265960586297953231578373828
y[1] (numeric) = 0.24643265960586297953231578373834
absolute error = 6e-32
relative error = 2.4347422170406391873190885240663e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.963
y[1] (analytic) = 0.24710608136800018549344750145989
y[1] (numeric) = 0.24710608136800018549344750145996
absolute error = 7e-32
relative error = 2.8327914720865659830034191193459e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.964
y[1] (analytic) = 0.24778044070549939427066460597476
y[1] (numeric) = 0.24778044070549939427066460597482
absolute error = 6e-32
relative error = 2.4214986392454310630213982698144e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.965
y[1] (analytic) = 0.2484557369209234883462176568128
y[1] (numeric) = 0.24845573692092348834621765681287
absolute error = 7e-32
relative error = 2.8174032472544210992194494850577e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=247.9MB, alloc=4.4MB, time=10.52
x[1] = 0.966
y[1] (analytic) = 0.24913196931308783975198642011787
y[1] (numeric) = 0.24913196931308783975198642011793
absolute error = 6e-32
relative error = 2.4083621289324418405413349077989e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.967
y[1] (analytic) = 0.24980913717706311480705682841595
y[1] (numeric) = 0.24980913717706311480705682841601
absolute error = 6e-32
relative error = 2.4018336830278703810364632376847e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.968
y[1] (analytic) = 0.25048723980417809383411579861859
y[1] (numeric) = 0.25048723980417809383411579861865
absolute error = 6e-32
relative error = 2.3953315964080980696182535555160e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.969
y[1] (analytic) = 0.25116627648202250584338504644162
y[1] (numeric) = 0.25116627648202250584338504644167
absolute error = 5e-32
relative error = 1.9907131124579458952432632381669e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.97
y[1] (analytic) = 0.25184624649444987817275516528358
y[1] (numeric) = 0.25184624649444987817275516528363
absolute error = 5e-32
relative error = 1.9853383044603718938413908870598e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.971
y[1] (analytic) = 0.25252714912158040107272141282719
y[1] (numeric) = 0.25252714912158040107272141282725
absolute error = 6e-32
relative error = 2.3759821551350391107336065342927e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.972
y[1] (analytic) = 0.25320898363980380722466286943992
y[1] (numeric) = 0.25320898363980380722466286943998
absolute error = 6e-32
relative error = 2.3695841726275999647830771061419e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.973
y[1] (analytic) = 0.25389174932178226618094689909654
y[1] (numeric) = 0.2538917493217822661809468990966
absolute error = 6e-32
relative error = 2.3632118869666785569550369460596e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.974
y[1] (analytic) = 0.25457544543645329371528115626507
y[1] (numeric) = 0.25457544543645329371528115626513
absolute error = 6e-32
relative error = 2.3568651680893199834909314701694e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.975
y[1] (analytic) = 0.25526007124903267607167574122713
y[1] (numeric) = 0.25526007124903267607167574122719
absolute error = 6e-32
relative error = 2.3505438867273439160971309407570e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.976
y[1] (analytic) = 0.2559456260210174091003185118832
y[1] (numeric) = 0.25594562602101740910031851188325
absolute error = 5e-32
relative error = 1.9535399286680587857570043596498e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.977
y[1] (analytic) = 0.25663210901018865226860701246022
y[1] (numeric) = 0.25663210901018865226860701246028
absolute error = 6e-32
relative error = 2.3379771234166928195160069216037e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.978
y[1] (analytic) = 0.25731951947061469753552097893272
y[1] (numeric) = 0.25731951947061469753552097893278
absolute error = 6e-32
relative error = 2.3317313868546946049642547348328e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=251.7MB, alloc=4.4MB, time=10.68
x[1] = 0.979
y[1] (analytic) = 0.25800785665265395307745992762572
y[1] (numeric) = 0.25800785665265395307745992762577
absolute error = 5e-32
relative error = 1.9379254821419285516272336147244e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.98
y[1] (analytic) = 0.25869711980295794185361092762749
y[1] (numeric) = 0.25869711980295794185361092762755
absolute error = 6e-32
relative error = 2.3193145731850533047654215358844e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.981
y[1] (analytic) = 0.25938730816447431499885229953922
y[1] (numeric) = 0.25938730816447431499885229953927
absolute error = 5e-32
relative error = 1.9276193717348580689051724424996e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.982
y[1] (analytic) = 0.2600784209764498800321396729644
y[1] (numeric) = 0.26007842097644988003213967296445
absolute error = 5e-32
relative error = 1.9224970611663127423721385105590e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.983
y[1] (analytic) = 0.26077045747443364386826157323168
y[1] (numeric) = 0.26077045747443364386826157323172
absolute error = 4e-32
relative error = 1.5339160880185848697315959098854e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.984
y[1] (analytic) = 0.2614634168902798706207924943858
y[1] (numeric) = 0.26146341689027987062079249438584
absolute error = 4e-32
relative error = 1.5298507330677752917268412781432e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.985
y[1] (analytic) = 0.2621572984521511541840122507117
y[1] (numeric) = 0.26215729845215115418401225071175
absolute error = 5e-32
relative error = 1.9072518787466060231712347834676e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.986
y[1] (analytic) = 0.26285210138452150558150128321106
y[1] (numeric) = 0.26285210138452150558150128321109
absolute error = 3e-32
relative error = 1.1413262379102517298847053080569e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.987
y[1] (analytic) = 0.26354782490817945506906253076628
y[1] (numeric) = 0.26354782490817945506906253076632
absolute error = 4e-32
relative error = 1.5177510956099172234429556575749e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.988
y[1] (analytic) = 0.2642444682402311689795614584411
y[1] (numeric) = 0.26424446824023116897956145844114
absolute error = 4e-32
relative error = 1.5137497585620226719679761540316e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.989
y[1] (analytic) = 0.26494203059410358129721686771294
y[1] (numeric) = 0.26494203059410358129721686771298
absolute error = 4e-32
relative error = 1.5097642269255794026681582452702e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.99
y[1] (analytic) = 0.2656405111795475399488161956495
y[1] (numeric) = 0.26564051117954753994881619564955
absolute error = 5e-32
relative error = 1.8822430275405090408792720257344e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.991
y[1] (analytic) = 0.26633990920264096779927014236346
y[1] (numeric) = 0.26633990920264096779927014236351
absolute error = 5e-32
relative error = 1.8773003321090045271868740838976e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.992
y[1] (analytic) = 0.26704022386579203833886264874126
y[1] (numeric) = 0.26704022386579203833886264874131
absolute error = 5e-32
relative error = 1.8723771002052781160022599965083e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=255.5MB, alloc=4.4MB, time=10.84
x[1] = 0.993
y[1] (analytic) = 0.26774145436774236604949347968046
y[1] (numeric) = 0.26774145436774236604949347968051
absolute error = 5e-32
relative error = 1.8674732352549746515279373202858e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.994
y[1] (analytic) = 0.2684435999035702114371519521191
y[1] (numeric) = 0.26844359990357021143715195211916
absolute error = 6e-32
relative error = 2.2351063695149775767714492259845e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.995
y[1] (analytic) = 0.2691466596646937007178016822356
y[1] (numeric) = 0.26914665966469370071780168223565
absolute error = 5e-32
relative error = 1.8577232228068752513219822256885e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.996
y[1] (analytic) = 0.26985063283887406014379761257286
y[1] (numeric) = 0.26985063283887406014379761257292
absolute error = 6e-32
relative error = 2.2234522620454843826417033713484e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.997
y[1] (analytic) = 0.27055551861021886495789801773139
y[1] (numeric) = 0.27055551861021886495789801773144
absolute error = 5e-32
relative error = 1.8480495336719959678541906024242e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.998
y[1] (analytic) = 0.27126131615918530296187567691476
y[1] (numeric) = 0.27126131615918530296187567691482
absolute error = 6e-32
relative error = 2.2118892899859695927135270056543e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.999
y[1] (analytic) = 0.27196802466258345268667394323472
y[1] (numeric) = 0.27196802466258345268667394323478
absolute error = 6e-32
relative error = 2.2061416989897570310225949722822e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1
y[1] (analytic) = 0.27267564329357957615099503352206
y[1] (numeric) = 0.27267564329357957615099503352212
absolute error = 6e-32
relative error = 2.2004165562891975652148192559488e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.001
y[1] (analytic) = 0.27338417122169942619514950868084
y[1] (numeric) = 0.2733841712216994261951495086809
absolute error = 6e-32
relative error = 2.1947137514169875645369748199829e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.002
y[1] (analytic) = 0.27409360761283156837693761359754
y[1] (numeric) = 0.2740936076128315683769376135976
absolute error = 6e-32
relative error = 2.1890331745624821027063481933787e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.003
y[1] (analytic) = 0.2748039516292307174162748975091
y[1] (numeric) = 0.27480395162923071741627489750916
absolute error = 6e-32
relative error = 2.1833747165671339299845308710203e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.004
y[1] (analytic) = 0.27551520242952108817521634077596
y[1] (numeric) = 0.27551520242952108817521634077603
absolute error = 7e-32
relative error = 2.5406946470732967775336416219879e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.005
y[1] (analytic) = 0.27622735916869976115997507243157
y[1] (numeric) = 0.27622735916869976115997507243163
absolute error = 6e-32
relative error = 2.1721237237530958929847968093763e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=259.4MB, alloc=4.4MB, time=11.00
x[1] = 1.006
y[1] (analytic) = 0.27694042099814006253147367492069
y[1] (numeric) = 0.27694042099814006253147367492075
absolute error = 6e-32
relative error = 2.1665309738372558194925353255660e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.007
y[1] (analytic) = 0.27765438706559495861090803832822
y[1] (numeric) = 0.27765438706559495861090803832828
absolute error = 6e-32
relative error = 2.1609599125774012134540986545109e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.008
y[1] (analytic) = 0.27836925651520046486674574636887
y[1] (numeric) = 0.27836925651520046486674574636893
absolute error = 6e-32
relative error = 2.1554104340083142745486314786822e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.009
y[1] (analytic) = 0.27908502848747906936952305068961
y[1] (numeric) = 0.27908502848747906936952305068967
absolute error = 6e-32
relative error = 2.1498824327902581445878163418283e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.01
y[1] (analytic) = 0.27980170211934317070074661886157
y[1] (numeric) = 0.27980170211934317070074661886163
absolute error = 6e-32
relative error = 2.1443758042046627448758411229416e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.011
y[1] (analytic) = 0.28051927654409853030214842503822
y[1] (numeric) = 0.28051927654409853030214842503828
absolute error = 6e-32
relative error = 2.1388904441498446362051784800814e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.012
y[1] (analytic) = 0.2812377508914477392514843908635
y[1] (numeric) = 0.28123775089144773925148439086356
absolute error = 6e-32
relative error = 2.1334262491367605996963802366504e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.013
y[1] (analytic) = 0.28195712428749369945100967805762
y[1] (numeric) = 0.28195712428749369945100967805768
absolute error = 6e-32
relative error = 2.1279831162847946396630016392147e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.014
y[1] (analytic) = 0.28267739585474311921470588342096
y[1] (numeric) = 0.28267739585474311921470588342102
absolute error = 6e-32
relative error = 2.1225609433175781126234899470481e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.015
y[1] (analytic) = 0.2833985647121100232402777920081
y[1] (numeric) = 0.28339856471211002324027779200817
absolute error = 7e-32
relative error = 2.4700195666519831377392420629801e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.016
y[1] (analytic) = 0.28412062997491927695187980516497
y[1] (numeric) = 0.28412062997491927695187980516503
absolute error = 6e-32
relative error = 2.1117790709283058608478005011351e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.017
y[1] (analytic) = 0.28484359075491012519947467722232
y[1] (numeric) = 0.28484359075491012519947467722237
absolute error = 5e-32
relative error = 1.7553493082813239150529400764822e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.018
y[1] (analytic) = 0.28556744616023974530066976812915
y[1] (numeric) = 0.28556744616023974530066976812921
absolute error = 6e-32
relative error = 2.1010798256861655858198668502661e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=263.2MB, alloc=4.4MB, time=11.17
x[1] = 1.019
y[1] (analytic) = 0.28629219529548681441081864941825
y[1] (numeric) = 0.28629219529548681441081864941832
absolute error = 7e-32
relative error = 2.4450544286669032518059129510624e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.02
y[1] (analytic) = 0.28701783726165509120711858785394
y[1] (numeric) = 0.28701783726165509120711858785402
absolute error = 8e-32
relative error = 2.7872832142857140838462970442473e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.021
y[1] (analytic) = 0.28774437115617701187237717514776
y[1] (numeric) = 0.28774437115617701187237717514783
absolute error = 7e-32
relative error = 2.4327148336120391614849852116058e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.022
y[1] (analytic) = 0.28847179607291730036406417347006
y[1] (numeric) = 0.28847179607291730036406417347014
absolute error = 8e-32
relative error = 2.7732347178848056643150752059249e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.023
y[1] (analytic) = 0.28920011110217659295420750536411
y[1] (numeric) = 0.28920011110217659295420750536419
absolute error = 8e-32
relative error = 2.7662506661947786447112074673011e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.024
y[1] (analytic) = 0.28992931533069507702563523331105
y[1] (numeric) = 0.28992931533069507702563523331113
absolute error = 8e-32
relative error = 2.7592932404490222360350002933894e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.025
y[1] (analytic) = 0.29065940784165614411000834882992
y[1] (numeric) = 0.29065940784165614411000834882999
absolute error = 7e-32
relative error = 2.4083170236875394851701939818141e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.026
y[1] (analytic) = 0.29139038771469005715303222385199
y[1] (numeric) = 0.29139038771469005715303222385207
absolute error = 8e-32
relative error = 2.7454577560853050357908949865350e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.027
y[1] (analytic) = 0.29212225402587763199217766841356
y[1] (numeric) = 0.29212225402587763199217766841364
absolute error = 8e-32
relative error = 2.7385794439650326981515428792213e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.028
y[1] (analytic) = 0.29285500584775393303218568869137
y[1] (numeric) = 0.29285500584775393303218568869145
absolute error = 8e-32
relative error = 2.7317272507743805819020202272813e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.029
y[1] (analytic) = 0.29358864224931198310357324828934
y[1] (numeric) = 0.29358864224931198310357324828942
absolute error = 8e-32
relative error = 2.7249010515898960255659715402823e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.03
y[1] (analytic) = 0.29432316229600648748930060370002
y[1] (numeric) = 0.2943231622960064874893006037001
absolute error = 8e-32
relative error = 2.7181007222103184409808441744010e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.031
y[1] (analytic) = 0.29505856504975757210470411223674
y[1] (numeric) = 0.29505856504975757210470411223682
absolute error = 8e-32
relative error = 2.7113261391517002535811500992214e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.032
y[1] (analytic) = 0.29579484956895453581574179768949
y[1] (numeric) = 0.29579484956895453581574179768957
absolute error = 8e-32
relative error = 2.7045771796425655342585631358891e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=267.0MB, alloc=4.4MB, time=11.33
TOP MAIN SOLVE Loop
x[1] = 1.033
y[1] (analytic) = 0.29653201490845961688054240572541
y[1] (numeric) = 0.29653201490845961688054240572548
absolute error = 7e-32
relative error = 2.3606220064167177458650089634928e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.034
y[1] (analytic) = 0.29727006011961177349919218785946
y[1] (numeric) = 0.29727006011961177349919218785953
absolute error = 7e-32
relative error = 2.3547611882553622726274921610403e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.035
y[1] (analytic) = 0.29800898425023047845663721988904
y[1] (numeric) = 0.29800898425023047845663721988912
absolute error = 8e-32
relative error = 2.6844828252837524462706176856688e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.036
y[1] (analytic) = 0.29874878634461952784352268824268
y[1] (numeric) = 0.29874878634461952784352268824276
absolute error = 8e-32
relative error = 2.6778351463398606621469810292507e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.037
y[1] (analytic) = 0.29948946544357086383973426596396
y[1] (numeric) = 0.29948946544357086383973426596403
absolute error = 7e-32
relative error = 2.3373109266572597910934512969376e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.038
y[1] (analytic) = 0.30023102058436841154535044926224
y[1] (numeric) = 0.30023102058436841154535044926231
absolute error = 7e-32
relative error = 2.3315378891812142104482558979176e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.039
y[1] (analytic) = 0.30097345080079192984365853593664
y[1] (numeric) = 0.30097345080079192984365853593672
absolute error = 8e-32
relative error = 2.6580417570767840543591239651187e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.04
y[1] (analytic) = 0.30171675512312087628083079874384
y[1] (numeric) = 0.30171675512312087628083079874392
absolute error = 8e-32
relative error = 2.6514934501186246781969784947617e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.041
y[1] (analytic) = 0.30246093257813828594680134015804
y[1] (numeric) = 0.30246093257813828594680134015812
absolute error = 8e-32
relative error = 2.6449696930473048839259474360158e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.042
y[1] (analytic) = 0.30320598218913466434182811018772
y[1] (numeric) = 0.3032059821891346643418281101878
absolute error = 8e-32
relative error = 2.6384703699578519272161412740044e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.043
y[1] (analytic) = 0.30395190297591189421316862619148
y[1] (numeric) = 0.30395190297591189421316862619156
absolute error = 8e-32
relative error = 2.6319953656069058491704493990224e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.044
y[1] (analytic) = 0.30469869395478715634624205319924
y[1] (numeric) = 0.30469869395478715634624205319932
absolute error = 8e-32
relative error = 2.6255445654083057406927368801429e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.045
y[1] (analytic) = 0.30544635413859686429459448531812
y[1] (numeric) = 0.3054463541385968642945944853182
absolute error = 8e-32
relative error = 2.6191178554287096778362520132682e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=270.8MB, alloc=4.4MB, time=11.50
x[1] = 1.046
y[1] (analytic) = 0.30619488253670061303292851360836
y[1] (numeric) = 0.30619488253670061303292851360844
absolute error = 8e-32
relative error = 2.6127151223832480391899820551982e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.047
y[1] (analytic) = 0.30694427815498514151740247357564
y[1] (numeric) = 0.30694427815498514151740247357573
absolute error = 9e-32
relative error = 2.9321282853351111590037822340433e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.048
y[1] (analytic) = 0.30769453999586830913734913636648
y[1] (numeric) = 0.30769453999586830913734913636657
absolute error = 9e-32
relative error = 2.9249787793182326475340018017092e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.049
y[1] (analytic) = 0.30844566705830308604250804209362
y[1] (numeric) = 0.30844566705830308604250804209371
absolute error = 9e-32
relative error = 2.9178558693446648358654391546896e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.05
y[1] (analytic) = 0.30919765833778155732981017168274
y[1] (numeric) = 0.30919765833778155732981017168283
absolute error = 9e-32
relative error = 2.9107594308388944732524666828296e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.051
y[1] (analytic) = 0.30995051282633894107369821544056
y[1] (numeric) = 0.30995051282633894107369821544064
absolute error = 8e-32
relative error = 2.5810571910498148617261906635751e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.052
y[1] (analytic) = 0.31070422951255762018391032242066
y[1] (numeric) = 0.31070422951255762018391032242075
absolute error = 9e-32
relative error = 2.8966454734521888004647980561673e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.053
y[1] (analytic) = 0.31145880738157118807459990482803
y[1] (numeric) = 0.31145880738157118807459990482812
absolute error = 9e-32
relative error = 2.8896277089297440287517488960866e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.054
y[1] (analytic) = 0.31221424541506850812860882637692
y[1] (numeric) = 0.31221424541506850812860882637701
absolute error = 9e-32
relative error = 2.8826359245828408864094823339789e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.055
y[1] (analytic) = 0.31297054259129778694065612292233
y[1] (numeric) = 0.31297054259129778694065612292242
absolute error = 9e-32
relative error = 2.8756699993177718733406014566007e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.056
y[1] (analytic) = 0.31372769788507066132314928804098
y[1] (numeric) = 0.31372769788507066132314928804107
absolute error = 9e-32
relative error = 2.8687298127234568247106848885734e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.057
y[1] (analytic) = 0.31448571026776629905827010576598
y[1] (numeric) = 0.31448571026776629905827010576607
absolute error = 9e-32
relative error = 2.8618152450669454050547725829599e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.058
y[1] (analytic) = 0.3152445787073355133799320275996
y[1] (numeric) = 0.3152445787073355133799320275997
absolute error = 1.0e-31
relative error = 3.1721401969877260989737563327962e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=274.6MB, alloc=4.4MB, time=11.66
x[1] = 1.059
y[1] (analytic) = 0.31600430216830489116915117146064
y[1] (numeric) = 0.31600430216830489116915117146073
absolute error = 9e-32
relative error = 2.8480624909994331419241210749119e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.06
y[1] (analytic) = 0.31676487961178093484631816658646
y[1] (numeric) = 0.31676487961178093484631816658655
absolute error = 9e-32
relative error = 2.8412240684731759144346963434330e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.061
y[1] (analytic) = 0.31752630999545421794380328082512
y[1] (numeric) = 0.31752630999545421794380328082521
absolute error = 9e-32
relative error = 2.8344107926454491715067579835079e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.062
y[1] (analytic) = 0.31828859227360355434227254543764
y[1] (numeric) = 0.31828859227360355434227254543772
absolute error = 8e-32
relative error = 2.5134422640957023772605929649928e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.063
y[1] (analytic) = 0.3190517253971001811540379377049
y[1] (numeric) = 0.31905172539710018115403793770499
absolute error = 9e-32
relative error = 2.8208592161030826405198982471799e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.064
y[1] (analytic) = 0.31981570831341195523671009351583
y[1] (numeric) = 0.31981570831341195523671009351592
absolute error = 9e-32
relative error = 2.8141206845225405063334836822498e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.065
y[1] (analytic) = 0.32058053996660756332036750092102
y[1] (numeric) = 0.32058053996660756332036750092111
absolute error = 9e-32
relative error = 2.8074068379002236226458116168824e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.066
y[1] (analytic) = 0.32134621929736074573140167158887
y[1] (numeric) = 0.32134621929736074573140167158896
absolute error = 9e-32
relative error = 2.8007175624094601127355708486944e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.067
y[1] (analytic) = 0.32211274524295453369614340041492
y[1] (numeric) = 0.32211274524295453369614340041501
absolute error = 9e-32
relative error = 2.7940527448585501273799688491085e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.068
y[1] (analytic) = 0.32288011673728550020732090442926
y[1] (numeric) = 0.32288011673728550020732090442935
absolute error = 9e-32
relative error = 2.7874122726866257327788372384773e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.069
y[1] (analytic) = 0.3236483327108680244363463808372
y[1] (numeric) = 0.32364833271086802443634638083728
absolute error = 8e-32
relative error = 2.4718186968529259288854805031324e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.07
y[1] (analytic) = 0.32441739209083856967437334073278
y[1] (numeric) = 0.32441739209083856967437334073286
absolute error = 8e-32
relative error = 2.4659590376584859795171184551602e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.071
y[1] (analytic) = 0.3251872938009599747850129599599
y[1] (numeric) = 0.32518729380095997478501295995998
absolute error = 8e-32
relative error = 2.4601207219666537479541094349032e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=278.4MB, alloc=4.4MB, time=11.83
x[1] = 1.072
y[1] (analytic) = 0.32595803676162575915154364197742
y[1] (numeric) = 0.3259580367616257591515436419775
absolute error = 8e-32
relative error = 2.4543036519300267164156906175728e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.073
y[1] (analytic) = 0.32672961988986444110139400962996
y[1] (numeric) = 0.32672961988986444110139400963005
absolute error = 9e-32
relative error = 2.7545711965244419476116712425291e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.074
y[1] (analytic) = 0.32750204209934386979062563365045
y[1] (numeric) = 0.32750204209934386979062563365053
absolute error = 8e-32
relative error = 2.4427328601429894742722621467203e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.075
y[1] (analytic) = 0.32827530230037557053108796573905
y[1] (numeric) = 0.32827530230037557053108796573913
absolute error = 8e-32
relative error = 2.4369789453974550266470865333679e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.076
y[1] (analytic) = 0.32904939939991910354286417339294
y[1] (numeric) = 0.32904939939991910354286417339302
absolute error = 8e-32
relative error = 2.4312458903099176396155188084784e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.077
y[1] (analytic) = 0.32982433230158643611457287251488
y[1] (numeric) = 0.32982433230158643611457287251495
absolute error = 7e-32
relative error = 2.1223418997478041439296468930419e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.078
y[1] (analytic) = 0.33060009990564632815403712242334
y[1] (numeric) = 0.33060009990564632815403712242341
absolute error = 7e-32
relative error = 2.1173617315898599365264238417156e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.079
y[1] (analytic) = 0.33137670110902873111177848643572
y[1] (numeric) = 0.33137670110902873111177848643579
absolute error = 7e-32
relative error = 2.1123995671913208997395994406966e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.08
y[1] (analytic) = 0.33215413480532920025974046991342
y[1] (numeric) = 0.33215413480532920025974046991349
absolute error = 7e-32
relative error = 2.1074553246499852048100527288706e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.081
y[1] (analytic) = 0.33293239988481332030759222675822
y[1] (numeric) = 0.33293239988481332030759222675829
absolute error = 7e-32
relative error = 2.1025289225145504779399865202261e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.082
y[1] (analytic) = 0.33371149523442114433891007504588
y[1] (numeric) = 0.33371149523442114433891007504595
absolute error = 7e-32
relative error = 2.0976202797817122051041912960239e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.083
y[1] (analytic) = 0.33449141973777164604948108298956
y[1] (numeric) = 0.33449141973777164604948108298963
absolute error = 7e-32
relative error = 2.0927293158932834922064406221907e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.084
y[1] (analytic) = 0.33527217227516718526991977795492
y[1] (numeric) = 0.33527217227516718526991977795499
absolute error = 7e-32
relative error = 2.0878559507333360037636992776167e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=282.2MB, alloc=4.4MB, time=12.00
x[1] = 1.085
y[1] (analytic) = 0.33605375172359798675473589401416
y[1] (numeric) = 0.33605375172359798675473589401423
absolute error = 7e-32
relative error = 2.0830001046253619049268814585491e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.086
y[1] (analytic) = 0.33683615695674663221993800773976
y[1] (numeric) = 0.33683615695674663221993800773983
absolute error = 7e-32
relative error = 2.0781616983294566332565129856491e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.087
y[1] (analytic) = 0.33761938684499256561120491781268
y[1] (numeric) = 0.33761938684499256561120491781276
absolute error = 8e-32
relative error = 2.3695321749023112323028680858167e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.088
y[1] (analytic) = 0.33840344025541661158460370176662
y[1] (numeric) = 0.3384034402554166115846037017667
absolute error = 8e-32
relative error = 2.3640421604348477123594993977764e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.089
y[1] (analytic) = 0.3391883160518055071817805330206
y[1] (numeric) = 0.33918831605180550718178053302068
absolute error = 8e-32
relative error = 2.3585718084635114354525657026943e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.09
y[1] (analytic) = 0.33997401309465644668149756347902
y[1] (numeric) = 0.33997401309465644668149756347909
absolute error = 7e-32
relative error = 2.0589809015935114548596159946404e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.091
y[1] (analytic) = 0.3407605302411816396093364716113
y[1] (numeric) = 0.34076053024118163960933647161138
absolute error = 8e-32
relative error = 2.3476897381095760699418993754895e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.092
y[1] (analytic) = 0.34154786634531288188733664327444
y[1] (numeric) = 0.34154786634531288188733664327452
absolute error = 8e-32
relative error = 2.3422778439821412542910437368582e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.093
y[1] (analytic) = 0.34233602025770614010528339282037
y[1] (numeric) = 0.34233602025770614010528339282044
absolute error = 7e-32
relative error = 2.0447746032481449939495361419054e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.094
y[1] (analytic) = 0.34312499082574614889530914544782
y[1] (numeric) = 0.34312499082574614889530914544789
absolute error = 7e-32
relative error = 2.0400729142911381871616595278307e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.095
y[1] (analytic) = 0.34391477689355102139141808852375
y[1] (numeric) = 0.34391477689355102139141808852382
absolute error = 7e-32
relative error = 2.0353879711794558062977527344593e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.096
y[1] (analytic) = 0.3447053773019768727554924599229
y[1] (numeric) = 0.34470537730197687275549245992297
absolute error = 7e-32
relative error = 2.0307196988887400380952078578905e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.097
y[1] (analytic) = 0.34549679088862245675128637552512
y[1] (numeric) = 0.34549679088862245675128637552519
absolute error = 7e-32
relative error = 2.0260680228015735139908085453269e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.098
y[1] (analytic) = 0.34628901648783381534786090607727
y[1] (numeric) = 0.34628901648783381534786090607734
absolute error = 7e-32
relative error = 2.0214328687048990638216417214455e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=286.1MB, alloc=4.4MB, time=12.16
TOP MAIN SOLVE Loop
x[1] = 1.099
y[1] (analytic) = 0.34708205293070894133386199587876
y[1] (numeric) = 0.34708205293070894133386199587883
absolute error = 7e-32
relative error = 2.0168141627874581820351390155188e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.1
y[1] (analytic) = 0.34787589904510245392399077239597
y[1] (numeric) = 0.34787589904510245392399077239604
absolute error = 7e-32
relative error = 2.0122118316372480537327247900791e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.101
y[1] (analytic) = 0.34867055365563028733896382715843
y[1] (numeric) = 0.3486705536556302873389638271585
absolute error = 7e-32
relative error = 2.0076258022389969892551512255569e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.102
y[1] (analytic) = 0.34946601558367439234020915434701
y[1] (numeric) = 0.34946601558367439234020915434708
absolute error = 7e-32
relative error = 2.0030560019716581173874193705547e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.103
y[1] (analytic) = 0.35026228364738745070049161455916
y[1] (numeric) = 0.35026228364738745070049161455924
absolute error = 8e-32
relative error = 2.2840026955496242155627064612195e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.104
y[1] (analytic) = 0.35105935666169760259161004753531
y[1] (numeric) = 0.35105935666169760259161004753538
absolute error = 7e-32
relative error = 1.9939648003017423412247090378058e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.105
y[1] (analytic) = 0.351857233438313186870256489361
y[1] (numeric) = 0.35185723343831318687025648936108
absolute error = 8e-32
relative error = 2.2736494349781619249218725906990e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.106
y[1] (analytic) = 0.35265591278572749424307635702859
y[1] (numeric) = 0.35265591278572749424307635702866
absolute error = 7e-32
relative error = 1.9849376534495185531623185094594e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.107
y[1] (analytic) = 0.35345539350922353329191694645488
y[1] (numeric) = 0.35345539350922353329191694645496
absolute error = 8e-32
relative error = 2.2633690550236963357275642699238e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.108
y[1] (analytic) = 0.3542556744108788093402001493159
y[1] (numeric) = 0.35425567441087880934020014931597
absolute error = 7e-32
relative error = 1.9759739943872124343137064961289e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.109
y[1] (analytic) = 0.35505675428957011614130392957928
y[1] (numeric) = 0.35505675428957011614130392957936
absolute error = 8e-32
relative error = 2.2531609111357784036896998871774e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.11
y[1] (analytic) = 0.35585863194097834036978581259771
y[1] (numeric) = 0.35585863194097834036978581259779
absolute error = 8e-32
relative error = 2.2480837281830657760327810673334e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.111
y[1] (analytic) = 0.3566613061575932788962304282751
y[1] (numeric) = 0.35666130615759327889623042827518
absolute error = 8e-32
relative error = 2.2430243656611138960258496225155e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=289.9MB, alloc=4.4MB, time=12.33
x[1] = 1.112
y[1] (analytic) = 0.35746477572871846882645201533856
y[1] (numeric) = 0.35746477572871846882645201533865
absolute error = 9e-32
relative error = 2.5177305880426490161556146943933e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.113
y[1] (analytic) = 0.35826903944047603028573173634622
y[1] (numeric) = 0.35826903944047603028573173634631
absolute error = 9e-32
relative error = 2.5120786362270326533829284857353e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.114
y[1] (analytic) = 0.35907409607581152192871867293846
y[1] (numeric) = 0.35907409607581152192871867293855
absolute error = 9e-32
relative error = 2.5064464683912550422417463782548e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.115
y[1] (analytic) = 0.35987994441449880915557246820286
y[1] (numeric) = 0.35987994441449880915557246820295
absolute error = 9e-32
relative error = 2.5008339974716881865253800248273e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.116
y[1] (analytic) = 0.36068658323314494501487475807312
y[1] (numeric) = 0.36068658323314494501487475807321
absolute error = 9e-32
relative error = 2.4952411368688120632029920310736e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.117
y[1] (analytic) = 0.36149401130519506377378578662402
y[1] (numeric) = 0.3614940113051950637737857866241
absolute error = 8e-32
relative error = 2.2130380448393976650734217015035e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.118
y[1] (analytic) = 0.36230222740093728713587193116088
y[1] (numeric) = 0.36230222740093728713587193116096
absolute error = 8e-32
relative error = 2.2081012466828968082319367686939e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.119
y[1] (analytic) = 0.36311123028750764308697927233494
y[1] (numeric) = 0.36311123028750764308697927233503
absolute error = 9e-32
relative error = 2.4785793578661543753848191836077e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.12
y[1] (analytic) = 0.36392101872889499734947783234888
y[1] (numeric) = 0.36392101872889499734947783234896
absolute error = 8e-32
relative error = 2.1982791837477364393083263887763e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.121
y[1] (analytic) = 0.36473159148594599742515067085069
y[1] (numeric) = 0.36473159148594599742515067085078
absolute error = 9e-32
relative error = 2.4675679897464522397465875198430e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.122
y[1] (analytic) = 0.36554294731637002920695167355184
y[1] (numeric) = 0.36554294731637002920695167355192
absolute error = 8e-32
relative error = 2.1885253316284506972379184098953e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.123
y[1] (analytic) = 0.36635508497474418613980559314699
y[1] (numeric) = 0.36635508497474418613980559314707
absolute error = 8e-32
relative error = 2.1836737984820122231573375661415e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.124
y[1] (analytic) = 0.36716800321251825091057370596108
y[1] (numeric) = 0.36716800321251825091057370596116
absolute error = 8e-32
relative error = 2.1788390954561389882823879961323e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=293.7MB, alloc=4.4MB, time=12.49
x[1] = 1.125
y[1] (analytic) = 0.36798170077801968964725833110306
y[1] (numeric) = 0.36798170077801968964725833110314
absolute error = 8e-32
relative error = 2.1740211491728222904399455014836e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.126
y[1] (analytic) = 0.3687961764164586586074694219673
y[1] (numeric) = 0.36879617641645865860746942196738
absolute error = 8e-32
relative error = 2.1692198866416922820386129890757e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.127
y[1] (analytic) = 0.36961142886993302333612648289188
y[1] (numeric) = 0.36961142886993302333612648289196
absolute error = 8e-32
relative error = 2.1644352352576238848791630624464e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.128
y[1] (analytic) = 0.37042745687743339027231918685824
y[1] (numeric) = 0.37042745687743339027231918685832
absolute error = 8e-32
relative error = 2.1596671227983596188490149024733e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.129
y[1] (analytic) = 0.37124425917484815078520027349861
y[1] (numeric) = 0.37124425917484815078520027349869
absolute error = 8e-32
relative error = 2.1549154774221492100550710990514e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.13
y[1] (analytic) = 0.37206183449496853761873459056492
y[1] (numeric) = 0.372061834494968537618734590565
absolute error = 8e-32
relative error = 2.1501802276654058451363121015962e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.131
y[1] (analytic) = 0.37288018156749369372507850660502
y[1] (numeric) = 0.3728801815674936937250785066051
absolute error = 8e-32
relative error = 2.1454613024403789396730945216237e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.132
y[1] (analytic) = 0.37369929911903575346631436808699
y[1] (numeric) = 0.37369929911903575346631436808707
absolute error = 8e-32
relative error = 2.1407586310328432897742466009118e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.133
y[1] (analytic) = 0.37451918587312493616421520080859
y[1] (numeric) = 0.37451918587312493616421520080867
absolute error = 8e-32
relative error = 2.1360721430998044770759203121191e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.134
y[1] (analytic) = 0.37533984055021465197766546332452
y[1] (numeric) = 0.37533984055021465197766546332461
absolute error = 9e-32
relative error = 2.3978269897506229483438469588995e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.135
y[1] (analytic) = 0.37616126186768662008731434951632
y[1] (numeric) = 0.3761612618676866200873143495164
absolute error = 8e-32
relative error = 2.1267474381277387934734396504018e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.136
y[1] (analytic) = 0.37698344853985599916698890851577
y[1] (numeric) = 0.37698344853985599916698890851585
absolute error = 8e-32
relative error = 2.1221090822384506416494429040443e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.137
y[1] (analytic) = 0.37780639927797653012134510317022
y[1] (numeric) = 0.3778063992779765301213451031703
absolute error = 8e-32
relative error = 2.1174866321186593068407025678679e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=297.5MB, alloc=4.4MB, time=12.66
x[1] = 1.138
y[1] (analytic) = 0.37863011279024569106918586330239
y[1] (numeric) = 0.37863011279024569106918586330247
absolute error = 8e-32
relative error = 2.1128800192476653020226611165051e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.139
y[1] (analytic) = 0.37945458778180986455182620736576
y[1] (numeric) = 0.37945458778180986455182620736584
absolute error = 8e-32
relative error = 2.1082891754625665529127718423141e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.14
y[1] (analytic) = 0.38027982295476951694583660592477
y[1] (numeric) = 0.38027982295476951694583660592485
absolute error = 8e-32
relative error = 2.1037140329560740379287108238395e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.141
y[1] (analytic) = 0.38110581700818439005944694289218
y[1] (numeric) = 0.38110581700818439005944694289226
absolute error = 8e-32
relative error = 2.0991545242743426836181983371753e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.142
y[1] (analytic) = 0.38193256863807870489184469582988
y[1] (numeric) = 0.38193256863807870489184469582996
absolute error = 8e-32
relative error = 2.0946105823148173956817651080756e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.143
y[1] (analytic) = 0.38276007653744637753455230505882
y[1] (numeric) = 0.38276007653744637753455230505889
absolute error = 7e-32
relative error = 1.8288218727835823434116671478918e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.144
y[1] (analytic) = 0.38358833939625624719402013302299
y[1] (numeric) = 0.38358833939625624719402013302307
absolute error = 8e-32
relative error = 2.0855691318957957231626939297074e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.145
y[1] (analytic) = 0.38441735590145731631452293050658
y[1] (numeric) = 0.38441735590145731631452293050667
absolute error = 9e-32
relative error = 2.3412054273395207105816537538684e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.146
y[1] (analytic) = 0.38524712473698400278039932510494
y[1] (numeric) = 0.38524712473698400278039932510502
absolute error = 8e-32
relative error = 2.0765891518234592057818779834314e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.147
y[1] (analytic) = 0.38607764458376140417662552999451
y[1] (numeric) = 0.38607764458376140417662552999459
absolute error = 8e-32
relative error = 2.0721220490828915310155194387326e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.148
y[1] (analytic) = 0.38690891411971057408666623772601
y[1] (numeric) = 0.38690891411971057408666623772609
absolute error = 8e-32
relative error = 2.0676701177075440117344651104751e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.149
y[1] (analytic) = 0.38774093201975381040649751467208
y[1] (numeric) = 0.38774093201975381040649751467216
absolute error = 8e-32
relative error = 2.0632332929948269704623463670106e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.15
y[1] (analytic) = 0.38857369695581995565364844708912
y[1] (numeric) = 0.38857369695581995565364844708921
absolute error = 9e-32
relative error = 2.3161629493988322678923293602733e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=301.3MB, alloc=4.4MB, time=12.83
x[1] = 1.151
y[1] (analytic) = 0.38940720759684970925006030969379
y[1] (numeric) = 0.38940720759684970925006030969388
absolute error = 9e-32
relative error = 2.3112052947200789527994558375007e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.152
y[1] (analytic) = 0.39024146260880095175751413240037
y[1] (numeric) = 0.39024146260880095175751413240045
absolute error = 8e-32
relative error = 2.0500128168132740493089283501586e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.153
y[1] (analytic) = 0.39107646065465408104432973060791
y[1] (numeric) = 0.39107646065465408104432973060799
absolute error = 8e-32
relative error = 2.0456357783867026651229558055371e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.154
y[1] (analytic) = 0.39191220039441736036199153935584
y[1] (numeric) = 0.39191220039441736036199153935592
absolute error = 8e-32
relative error = 2.0412735280883990936606822552932e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.155
y[1] (analytic) = 0.39274868048513227831030895197544
y[1] (numeric) = 0.39274868048513227831030895197552
absolute error = 8e-32
relative error = 2.0369260031932416611084498754764e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.156
y[1] (analytic) = 0.39358589958087892066967130974246
y[1] (numeric) = 0.39358589958087892066967130974254
absolute error = 8e-32
relative error = 2.0325931412987676418808773018217e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.157
y[1] (analytic) = 0.39442385633278135407891022067342
y[1] (numeric) = 0.39442385633278135407891022067351
absolute error = 9e-32
relative error = 2.2818092403636367046774661986003e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.158
y[1] (analytic) = 0.39526254938901302153723450319454
y[1] (numeric) = 0.39526254938901302153723450319462
absolute error = 8e-32
relative error = 2.0239711585036832420120460301414e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.159
y[1] (analytic) = 0.39610197739480214970865575413736
y[1] (numeric) = 0.39610197739480214970865575413744
absolute error = 8e-32
relative error = 2.0196819143940431240754411373560e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.16
y[1] (analytic) = 0.39694213899243716800727533056883
y[1] (numeric) = 0.39694213899243716800727533056891
absolute error = 8e-32
relative error = 2.0154070868632120340211426300748e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.161
y[1] (analytic) = 0.39778303282127213944175641153313
y[1] (numeric) = 0.39778303282127213944175641153321
absolute error = 8e-32
relative error = 2.0111466150931780234692843524985e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.162
y[1] (analytic) = 0.39862465751773220319725776905814
y[1] (numeric) = 0.39862465751773220319725776905823
absolute error = 9e-32
relative error = 2.2577629933992853611415016914285e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.163
y[1] (analytic) = 0.39946701171531902893305892794844
y[1] (numeric) = 0.39946701171531902893305892794852
absolute error = 8e-32
relative error = 2.0026684971176583974964783074667e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.164
y[1] (analytic) = 0.40031009404461628277405953113622
y[1] (numeric) = 0.40031009404461628277405953113631
absolute error = 9e-32
relative error = 2.2482570721778779995463532474576e-29 %
Correct digits = 30
memory used=305.1MB, alloc=4.4MB, time=12.99
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.165
y[1] (analytic) = 0.40115390313329510497428895188114
y[1] (numeric) = 0.40115390313329510497428895188123
absolute error = 9e-32
relative error = 2.2435279651285075602902527455286e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.166
y[1] (analytic) = 0.40199843760611959923051550608372
y[1] (numeric) = 0.40199843760611959923051550608381
absolute error = 9e-32
relative error = 2.2388146714187611346565067440187e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.167
y[1] (analytic) = 0.40284369608495233362399801759484
y[1] (numeric) = 0.40284369608495233362399801759493
absolute error = 9e-32
relative error = 2.2341171246979288380562727436920e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.168
y[1] (analytic) = 0.40368967718875985316837597684957
y[1] (numeric) = 0.40368967718875985316837597684966
absolute error = 9e-32
relative error = 2.2294352589530599462706105588444e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.169
y[1] (analytic) = 0.40453637953361820394164810861474
y[1] (numeric) = 0.40453637953361820394164810861483
absolute error = 9e-32
relative error = 2.2247690085069524921403391737296e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.17
y[1] (analytic) = 0.4053838017327184687801428283015
y[1] (numeric) = 0.40538380173271846878014282830159
absolute error = 9e-32
relative error = 2.2201183080161565529344875704740e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.171
y[1] (analytic) = 0.40623194239637231451233781834199
y[1] (numeric) = 0.40623194239637231451233781834209
absolute error = 1.0e-31
relative error = 2.4616478805211012483195136529735e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.172
y[1] (analytic) = 0.40708080013201755071033979674812
y[1] (numeric) = 0.40708080013201755071033979674822
absolute error = 1.0e-31
relative error = 2.4565147746484160789876451852776e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.173
y[1] (analytic) = 0.407930373544223699936789479345
y[1] (numeric) = 0.4079303735442236999367894793451
absolute error = 1.0e-31
relative error = 2.4513987308954087433243185616105e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.174
y[1] (analytic) = 0.40878066123469757946491075548624
y[1] (numeric) = 0.40878066123469757946491075548634
absolute error = 1.0e-31
relative error = 2.4462996781197028958752905060702e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.175
y[1] (analytic) = 0.4096316618022888944493772044967
y[1] (numeric) = 0.4096316618022888944493772044968
absolute error = 1.0e-31
relative error = 2.4412175455388890808398292464063e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.176
y[1] (analytic) = 0.4104833738429958425256232768341
y[1] (numeric) = 0.41048337384299584252562327683421
absolute error = 1.1e-31
relative error = 2.6797674890012345221998319434887e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.177
y[1] (analytic) = 0.41133579594997072981518175019773
y[1] (numeric) = 0.41133579594997072981518175019783
absolute error = 1.0e-31
relative error = 2.4311037596193703181556436114730e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=309.0MB, alloc=4.4MB, time=13.16
x[1] = 1.178
y[1] (analytic) = 0.41218892671352559831458344672218
y[1] (numeric) = 0.41218892671352559831458344672228
absolute error = 1.0e-31
relative error = 2.4260719664965854724376700130082e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.179
y[1] (analytic) = 0.41304276472113786464530966316075
y[1] (numeric) = 0.41304276472113786464530966316085
absolute error = 1.0e-31
relative error = 2.4210568139963450829747474910943e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.18
y[1] (analytic) = 0.41389730855745597014224232176682
y[1] (numeric) = 0.41389730855745597014224232176692
absolute error = 1.0e-31
relative error = 2.4160582331044151505924421435067e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.181
y[1] (analytic) = 0.41475255680430504225801149560625
y[1] (numeric) = 0.41475255680430504225801149560635
absolute error = 1.0e-31
relative error = 2.4110761551539643583091186917528e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.182
y[1] (analytic) = 0.41560850804069256726059469845912
y[1] (numeric) = 0.41560850804069256726059469845921
absolute error = 9e-32
relative error = 2.1654994606411673062888254382691e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.183
y[1] (analytic) = 0.41646516084281407420147715647732
y[1] (numeric) = 0.41646516084281407420147715647742
absolute error = 1.0e-31
relative error = 2.4011612351349330556276928273438e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.184
y[1] (analytic) = 0.41732251378405883013163719653557
y[1] (numeric) = 0.41732251378405883013163719653567
absolute error = 1.0e-31
relative error = 2.3962282574513684952680912894604e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.185
y[1] (analytic) = 0.4181805654350155465425758949277
y[1] (numeric) = 0.41818056543501554654257589492779
absolute error = 9e-32
relative error = 2.1521803603277643577094972453371e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.186
y[1] (analytic) = 0.41903931436347809700956522989848
y[1] (numeric) = 0.41903931436347809700956522989858
absolute error = 1.0e-31
relative error = 2.3864109302464920902175272865737e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.187
y[1] (analytic) = 0.41989875913445124601424417264184
y[1] (numeric) = 0.41989875913445124601424417264193
absolute error = 9e-32
relative error = 2.1433738024260765238163649871701e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.188
y[1] (analytic) = 0.42075889831015638892364743401927
y[1] (numeric) = 0.42075889831015638892364743401936
absolute error = 9e-32
relative error = 2.1389921962781115195014110769221e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.189
y[1] (analytic) = 0.42161973045003730310270695853718
y[1] (numeric) = 0.42161973045003730310270695853726
absolute error = 8e-32
relative error = 1.8974444083678893197687966702884e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.19
y[1] (analytic) = 0.42248125411076591013722172324495
y[1] (numeric) = 0.42248125411076591013722172324504
absolute error = 9e-32
relative error = 2.1302720327658336278532799043093e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=312.8MB, alloc=4.4MB, time=13.32
x[1] = 1.191
y[1] (analytic) = 0.42334346784624804914424695735784
y[1] (numeric) = 0.42334346784624804914424695735793
absolute error = 9e-32
relative error = 2.1259333575612566227533346265927e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.192
y[1] (analytic) = 0.4242063702076292611468095487452
y[1] (numeric) = 0.42420637020762926114680954874529
absolute error = 9e-32
relative error = 2.1216088753205000593807466703546e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.193
y[1] (analytic) = 0.42506995974330058448981214613525
y[1] (numeric) = 0.42506995974330058448981214613534
absolute error = 9e-32
relative error = 2.1172985278552953837552658898306e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.194
y[1] (analytic) = 0.425934234998904361273944301147
y[1] (numeric) = 0.4259342349989043612739443011471
absolute error = 1.0e-31
relative error = 2.3477802858522802681062955102591e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.195
y[1] (analytic) = 0.42679919451734005478437492224674
y[1] (numeric) = 0.42679919451734005478437492224684
absolute error = 1.0e-31
relative error = 2.3430222288279690419872963971639e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.196
y[1] (analytic) = 0.42766483683877007789095633361578
y[1] (numeric) = 0.42766483683877007789095633361589
absolute error = 1.1e-31
relative error = 2.5721076535799007404547558489887e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.197
y[1] (analytic) = 0.42853116050062563239662634588458
y[1] (numeric) = 0.42853116050062563239662634588469
absolute error = 1.1e-31
relative error = 2.5669078503298106352984316504887e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.198
y[1] (analytic) = 0.42939816403761255931065095291053
y[1] (numeric) = 0.42939816403761255931065095291063
absolute error = 1.0e-31
relative error = 2.3288408841738930539976427132586e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.199
y[1] (analytic) = 0.43026584598171720002330656942916
y[1] (numeric) = 0.43026584598171720002330656942926
absolute error = 1.0e-31
relative error = 2.3241445012172587573513493869738e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.2
y[1] (analytic) = 0.43113420486221226835855711866468
y[1] (numeric) = 0.43113420486221226835855711866478
absolute error = 1.0e-31
relative error = 2.3194633798995224648013012142310e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.201
y[1] (analytic) = 0.43200323920566273348123776702082
y[1] (numeric) = 0.43200323920566273348123776702091
absolute error = 9e-32
relative error = 2.0833177122811784857529135430999e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.202
y[1] (analytic) = 0.43287294753593171363521368496098
y[1] (numeric) = 0.43287294753593171363521368496108
absolute error = 1.0e-31
relative error = 2.3101466739660197204994235082810e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.203
y[1] (analytic) = 0.43374332837418638068893888930104
y[1] (numeric) = 0.43374332837418638068893888930113
absolute error = 9e-32
relative error = 2.0749598694082466125941997431987e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=316.6MB, alloc=4.4MB, time=13.48
x[1] = 1.204
y[1] (analytic) = 0.43461438023890387546479699255191
y[1] (numeric) = 0.434614380238903875464796992552
absolute error = 9e-32
relative error = 2.0708012457049340085888597785293e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.205
y[1] (analytic) = 0.43548610164587723382856254983632
y[1] (numeric) = 0.43548610164587723382856254983641
absolute error = 9e-32
relative error = 2.0666560806384814732864204107020e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.206
y[1] (analytic) = 0.43635849110822132351527865343555
y[1] (numeric) = 0.43635849110822132351527865343564
absolute error = 9e-32
relative error = 2.0625243196580558537685371493912e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.207
y[1] (analytic) = 0.43723154713637879166780347937176
y[1] (numeric) = 0.43723154713637879166780347937185
absolute error = 9e-32
relative error = 2.0584059084814323551988232491523e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.208
y[1] (analytic) = 0.43810526823812602306423563976958
y[1] (numeric) = 0.43810526823812602306423563976966
absolute error = 8e-32
relative error = 1.8260451494163980941533329666184e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.209
y[1] (analytic) = 0.43897965291857910901038543923998
y[1] (numeric) = 0.43897965291857910901038543924007
absolute error = 9e-32
relative error = 2.0502089197444644136170235314055e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.21
y[1] (analytic) = 0.43985469968019982687341647335994
y[1] (numeric) = 0.43985469968019982687341647336003
absolute error = 9e-32
relative error = 2.0461302349488428869264713608689e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.211
y[1] (analytic) = 0.44073040702280163023273944265405
y[1] (numeric) = 0.44073040702280163023273944265414
absolute error = 9e-32
relative error = 2.0420646854834265976349381739519e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.212
y[1] (analytic) = 0.4416067734435556496241975864899
y[1] (numeric) = 0.44160677344355564962419758648998
absolute error = 8e-32
relative error = 1.8115664163431421858231734507849e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.213
y[1] (analytic) = 0.44248379743699670385354076814628
y[1] (numeric) = 0.44248379743699670385354076814636
absolute error = 8e-32
relative error = 1.8079758052924151083440996351490e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.214
y[1] (analytic) = 0.44336147749502932185514296517318
y[1] (numeric) = 0.44336147749502932185514296517327
absolute error = 9e-32
relative error = 2.0299463207425146895215941856659e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.215
y[1] (analytic) = 0.44423981210693377507187573820252
y[1] (numeric) = 0.44423981210693377507187573820261
absolute error = 9e-32
relative error = 2.0259327855634860551350483631429e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.216
y[1] (analytic) = 0.44511879975937212033200816675908
y[1] (numeric) = 0.44511879975937212033200816675916
absolute error = 8e-32
relative error = 1.7972729986522114789359945974870e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=320.4MB, alloc=4.4MB, time=13.65
x[1] = 1.217
y[1] (analytic) = 0.44599843893639425319896175252896
y[1] (numeric) = 0.44599843893639425319896175252904
absolute error = 8e-32
relative error = 1.7937282513988606695288119862125e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.218
y[1] (analytic) = 0.44687872811944397176970689913723
y[1] (numeric) = 0.44687872811944397176970689913731
absolute error = 8e-32
relative error = 1.7901948552497938909440976788861e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.219
y[1] (analytic) = 0.44775966578736505089754578293368
y[1] (numeric) = 0.44775966578736505089754578293376
absolute error = 8e-32
relative error = 1.7866727647146071267344380349139e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.22
y[1] (analytic) = 0.44864125041640732681498473175436
y[1] (numeric) = 0.44864125041640732681498473175445
absolute error = 9e-32
relative error = 2.0060571763400335875540427397459e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.221
y[1] (analytic) = 0.44952348048023279213235762828219
y[1] (numeric) = 0.44952348048023279213235762828227
absolute error = 8e-32
relative error = 1.7796623196308851212642145967870e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.222
y[1] (analytic) = 0.45040635444992170118782035163948
y[1] (numeric) = 0.45040635444992170118782035163957
absolute error = 9e-32
relative error = 1.9981956096049400582401899884234e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.223
y[1] (analytic) = 0.45128987079397868572429486537547
y[1] (numeric) = 0.45128987079397868572429486537555
absolute error = 8e-32
relative error = 1.7726965566333601012942340270226e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.224
y[1] (analytic) = 0.45217402797833888086890025222628
y[1] (numeric) = 0.45217402797833888086890025222636
absolute error = 8e-32
relative error = 1.7692303195227380656226803479485e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.225
y[1] (analytic) = 0.45305882446637406139036678609156
y[1] (numeric) = 0.45305882446637406139036678609163
absolute error = 7e-32
relative error = 1.5450532297312175299028028167801e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.226
y[1] (analytic) = 0.45394425871889878820988801975286
y[1] (numeric) = 0.45394425871889878820988801975294
absolute error = 8e-32
relative error = 1.7623309131780282196927582661854e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.227
y[1] (analytic) = 0.45483032919417656514082485312104
y[1] (numeric) = 0.45483032919417656514082485312112
absolute error = 8e-32
relative error = 1.7588976562256983849461949992173e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.228
y[1] (analytic) = 0.45571703434792600583263463140506
y[1] (numeric) = 0.45571703434792600583263463140514
absolute error = 8e-32
relative error = 1.7554753052948740307366469820013e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.229
y[1] (analytic) = 0.45660437263332701089435750570876
y[1] (numeric) = 0.45660437263332701089435750570884
absolute error = 8e-32
relative error = 1.7520638170551083988489049493095e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=324.2MB, alloc=4.4MB, time=13.81
x[1] = 1.23
y[1] (analytic) = 0.45749234250102695517295157034602
y[1] (numeric) = 0.45749234250102695517295157034609
absolute error = 7e-32
relative error = 1.5300802548371149538251866320212e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.231
y[1] (analytic) = 0.45838094239914688516172767178361
y[1] (numeric) = 0.45838094239914688516172767178368
absolute error = 7e-32
relative error = 1.5271140993258335857417394905369e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.232
y[1] (analytic) = 0.45927017077328772651409426373572
y[1] (numeric) = 0.45927017077328772651409426373579
absolute error = 7e-32
relative error = 1.5241573360216010518995337585674e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.233
y[1] (analytic) = 0.46016002606653650163778226170732
y[1] (numeric) = 0.46016002606653650163778226170739
absolute error = 7e-32
relative error = 1.5212099277367130824000247992263e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.234
y[1] (analytic) = 0.46105050671947255734467952837718
y[1] (numeric) = 0.46105050671947255734467952837725
absolute error = 7e-32
relative error = 1.5182718374625210331217690491997e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.235
y[1] (analytic) = 0.46194161117017380253136439878606
y[1] (numeric) = 0.46194161117017380253136439878613
absolute error = 7e-32
relative error = 1.5153430283684236333564506626389e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.236
y[1] (analytic) = 0.4628333378542229558653875315129
y[1] (numeric) = 0.46283333785422295586538753151297
absolute error = 7e-32
relative error = 1.5124234638008652307425663313823e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.237
y[1] (analytic) = 0.46372568520471380345231134904186
y[1] (numeric) = 0.46372568520471380345231134904194
absolute error = 8e-32
relative error = 1.7251578368941034129991007798802e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.238
y[1] (analytic) = 0.46461865165225746645847640750604
y[1] (numeric) = 0.46461865165225746645847640750611
absolute error = 7e-32
relative error = 1.5066119225104054733421120143259e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.239
y[1] (analytic) = 0.46551223562498867866442421309906
y[1] (numeric) = 0.46551223562498867866442421309913
absolute error = 7e-32
relative error = 1.5037198733566951323403213950180e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.24
y[1] (analytic) = 0.4664064355485720739238662798336
y[1] (numeric) = 0.46640643554857207392386627983367
absolute error = 7e-32
relative error = 1.5008369238659470383450898004396e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.241
y[1] (analytic) = 0.46730124984620848350304960115367
y[1] (numeric) = 0.46730124984620848350304960115374
absolute error = 7e-32
relative error = 1.4979630382550314327419851926074e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.242
y[1] (analytic) = 0.4681966769386412432753291863353
y[1] (numeric) = 0.46819667693864124327532918633537
absolute error = 7e-32
relative error = 1.4950981809119874756438660333832e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.243
y[1] (analytic) = 0.46909271524416251074571889179511
y[1] (numeric) = 0.46909271524416251074571889179517
absolute error = 6e-32
relative error = 1.2790648426243420058618110319075e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=328.0MB, alloc=4.4MB, time=13.98
TOP MAIN SOLVE Loop
x[1] = 1.244
y[1] (analytic) = 0.46998936317861959188015245752604
y[1] (numeric) = 0.46998936317861959188015245752611
absolute error = 7e-32
relative error = 1.4893954094317764375001898085317e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.245
y[1] (analytic) = 0.47088661915542127771414744005205
y[1] (numeric) = 0.47088661915542127771414744005212
absolute error = 7e-32
relative error = 1.4865574249179447284820812259870e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.246
y[1] (analytic) = 0.4717844815855441907155256156946
y[1] (numeric) = 0.47178448158554419071552561569466
absolute error = 6e-32
relative error = 1.2717671382143749240358413233989e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.247
y[1] (analytic) = 0.47268294887753914087580441173134
y[1] (numeric) = 0.4726829488775391408758044117314
absolute error = 6e-32
relative error = 1.2693497859924828075864298958450e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.248
y[1] (analytic) = 0.47358201943753749150483500835601
y[1] (numeric) = 0.47358201943753749150483500835607
absolute error = 6e-32
relative error = 1.2669399921741248667149630720271e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.249
y[1] (analytic) = 0.4744816916692575347032239413748
y[1] (numeric) = 0.47448169166925753470322394137486
absolute error = 6e-32
relative error = 1.2645377272390866566203310702915e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.25
y[1] (analytic) = 0.47538196397401087648703632445346
y[1] (numeric) = 0.47538196397401087648703632445352
absolute error = 6e-32
relative error = 1.2621429618074487767597164904838e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.251
y[1] (analytic) = 0.47628283475070883153924020061574
y[1] (numeric) = 0.47628283475070883153924020061579
absolute error = 5e-32
relative error = 1.0497963888656725754691740779874e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.252
y[1] (analytic) = 0.47718430239586882756231302574208
y[1] (numeric) = 0.47718430239586882756231302574214
absolute error = 6e-32
relative error = 1.2573758126314979054955549296397e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.253
y[1] (analytic) = 0.47808636530362081920639288218188
y[1] (numeric) = 0.47808636530362081920639288218193
absolute error = 5e-32
relative error = 1.0458361423515233982955710192696e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.254
y[1] (analytic) = 0.47898902186571371154731871842604
y[1] (numeric) = 0.47898902186571371154731871842609
absolute error = 5e-32
relative error = 1.0438652603194250064732956285700e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.255
y[1] (analytic) = 0.47989227047152179308886571124398
y[1] (numeric) = 0.47989227047152179308886571124403
absolute error = 5e-32
relative error = 1.0419005071882512394508816685522e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.256
y[1] (analytic) = 0.48079610950805117826344374992056
y[1] (numeric) = 0.48079610950805117826344374992059
absolute error = 3e-32
relative error = 6.2396511549762518539047860413028e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=331.8MB, alloc=4.4MB, time=14.14
x[1] = 1.257
y[1] (analytic) = 0.48170053735994625940548904838912
y[1] (numeric) = 0.48170053735994625940548904838915
absolute error = 3e-32
relative error = 6.2279357553597201429745754931138e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.258
y[1] (analytic) = 0.48260555240949616817174100029702
y[1] (numeric) = 0.48260555240949616817174100029706
absolute error = 4e-32
relative error = 8.2883422704717570255925024116960e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.259
y[1] (analytic) = 0.48351115303664124638255860451116
y[1] (numeric) = 0.4835111530366412463825586045112
absolute error = 4e-32
relative error = 8.2728184755996179057267196304172e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.26
y[1] (analytic) = 0.48441733761897952625839310442572
y[1] (numeric) = 0.48441733761897952625839310442576
absolute error = 4e-32
relative error = 8.2573427690695427869216962239057e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.261
y[1] (analytic) = 0.48532410453177322002549590382194
y[1] (numeric) = 0.48532410453177322002549590382198
absolute error = 4e-32
relative error = 8.2419149649677617081692919356808e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.262
y[1] (analytic) = 0.48623145214795521886490334510098
y[1] (numeric) = 0.48623145214795521886490334510102
absolute error = 4e-32
relative error = 8.2265348782555539652501511123298e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.263
y[1] (analytic) = 0.48713937883813560117870256261605
y[1] (numeric) = 0.48713937883813560117870256261609
absolute error = 4e-32
relative error = 8.2112023247644311832528623650025e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.264
y[1] (analytic) = 0.48804788297060815014754535471806
y[1] (numeric) = 0.48804788297060815014754535471811
absolute error = 5e-32
relative error = 1.0244896401489188422084648462897e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.265
y[1] (analytic) = 0.48895696291135688055333985314945
y[1] (numeric) = 0.4889569629113568805533398531495
absolute error = 5e-32
relative error = 1.0225848856367449136046913914895e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.266
y[1] (analytic) = 0.48986661702406257484101270772182
y[1] (numeric) = 0.48986661702406257484101270772187
absolute error = 5e-32
relative error = 1.0206860043607332945304489530972e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.267
y[1] (analytic) = 0.49077684367010932839319754794352
y[1] (numeric) = 0.49077684367010932839319754794358
absolute error = 6e-32
relative error = 1.2225515684747920951178758147765e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.268
y[1] (analytic) = 0.4916876412085911039916686315703
y[1] (numeric) = 0.49168764120859110399166863157035
absolute error = 5e-32
relative error = 1.0169057712554595256103344850277e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.269
y[1] (analytic) = 0.49259900799631829543930184308364
y[1] (numeric) = 0.49259900799631829543930184308369
absolute error = 5e-32
relative error = 1.0150243745593109677334851828766e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=335.7MB, alloc=4.4MB, time=14.30
x[1] = 1.27
y[1] (analytic) = 0.49351094238782430031630856300449
y[1] (numeric) = 0.49351094238782430031630856300454
absolute error = 5e-32
relative error = 1.0131487613643960309749696199186e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.271
y[1] (analytic) = 0.49442344273537210184445139187033
y[1] (numeric) = 0.49442344273537210184445139187037
absolute error = 4e-32
relative error = 8.0902312759892756504212202177897e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.272
y[1] (analytic) = 0.49533650738896085983291428078864
y[1] (numeric) = 0.49533650738896085983291428078869
absolute error = 5e-32
relative error = 1.0094147968935735089523880314483e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.273
y[1] (analytic) = 0.49625013469633251067946329387426
y[1] (numeric) = 0.49625013469633251067946329387431
absolute error = 5e-32
relative error = 1.0075564015835726126658241193968e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.274
y[1] (analytic) = 0.49716432300297837640049800672732
y[1] (numeric) = 0.49716432300297837640049800672736
absolute error = 4e-32
relative error = 8.0456296136439321423946484929707e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.275
y[1] (analytic) = 0.49807907065214578266355742955844
y[1] (numeric) = 0.49807907065214578266355742955848
absolute error = 4e-32
relative error = 8.0308534039840558275265884087796e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.276
y[1] (analytic) = 0.49899437598484468579580833376148
y[1] (numeric) = 0.49899437598484468579580833376151
absolute error = 3e-32
relative error = 6.0120918078064974831935864632129e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.277
y[1] (analytic) = 0.49991023733985430874200795681645
y[1] (numeric) = 0.49991023733985430874200795681648
absolute error = 3e-32
relative error = 6.0010773453325141791299109244765e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.278
y[1] (analytic) = 0.50082665305372978594539726251984
y[1] (numeric) = 0.50082665305372978594539726251988
absolute error = 4e-32
relative error = 7.9867953824152230047412089236128e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.279
y[1] (analytic) = 0.5017436214608088171249452418291
y[1] (numeric) = 0.50174362146080881712494524182913
absolute error = 3e-32
relative error = 5.9791492540863918722565106534019e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.28
y[1] (analytic) = 0.50266114089321832992232915421568
y[1] (numeric) = 0.50266114089321832992232915421571
absolute error = 3e-32
relative error = 5.9682353695952362074115540896133e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.281
y[1] (analytic) = 0.50357920968088115139200013048942
y[1] (numeric) = 0.50357920968088115139200013048945
absolute error = 3e-32
relative error = 5.9573547563671347564194948060481e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.282
y[1] (analytic) = 0.504497826151522688307648185727
y[1] (numeric) = 0.50449782615152268830764818572703
absolute error = 3e-32
relative error = 5.9465072880194517026090619925941e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=339.5MB, alloc=4.4MB, time=14.46
x[1] = 1.283
y[1] (analytic) = 0.5054169886306776162583454253515
y[1] (numeric) = 0.50541698863067761625834542535153
absolute error = 3e-32
relative error = 5.9356928387545441777128246778470e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.284
y[1] (analytic) = 0.50633669544169657750761106870916
y[1] (numeric) = 0.50633669544169657750761106870918
absolute error = 2e-32
relative error = 3.9499408555710635247101262567027e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.285
y[1] (analytic) = 0.50725694490575288758860686281354
y[1] (numeric) = 0.50725694490575288758860686281356
absolute error = 2e-32
relative error = 3.9427749981256445063776859350127e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.286
y[1] (analytic) = 0.50817773534184925060863651441775
y[1] (numeric) = 0.50817773534184925060863651441777
absolute error = 2e-32
relative error = 3.9356309041257140570167523541198e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.287
y[1] (analytic) = 0.50909906506682448323608793137058
y[1] (numeric) = 0.5090990650668244832360879313706
absolute error = 2e-32
relative error = 3.9285084912451753376996630090924e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.288
y[1] (analytic) = 0.51002093239536024734292233445298
y[1] (numeric) = 0.51002093239536024734292233445301
absolute error = 3e-32
relative error = 5.8821115163062502227153864571561e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.289
y[1] (analytic) = 0.51094333563998779127577967871536
y[1] (numeric) = 0.51094333563998779127577967871538
absolute error = 2e-32
relative error = 3.9143283814336821221831969727320e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.29
y[1] (analytic) = 0.51186627311109469972873530888209
y[1] (numeric) = 0.51186627311109469972873530888211
absolute error = 2e-32
relative error = 3.9072705217402025521387170018230e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.291
y[1] (analytic) = 0.51278974311693165219070836679688
y[1] (numeric) = 0.51278974311693165219070836679691
absolute error = 3e-32
relative error = 5.8503510264555131489456298534861e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.292
y[1] (analytic) = 0.51371374396361918994048817028625
y[1] (numeric) = 0.51371374396361918994048817028628
absolute error = 3e-32
relative error = 5.8398281830132574376020381629181e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.293
y[1] (analytic) = 0.51463827395515449156231059235838
y[1] (numeric) = 0.51463827395515449156231059235842
absolute error = 4e-32
relative error = 7.7724495095531107934311526318239e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.294
y[1] (analytic) = 0.515563331393418156954882387466
y[1] (numeric) = 0.51556333139341815695488238746603
absolute error = 3e-32
relative error = 5.8188777543427498693476911995364e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.295
y[1] (analytic) = 0.51648891457818099980671743778102
y[1] (numeric) = 0.51648891457818099980671743778105
absolute error = 3e-32
relative error = 5.8084499305277723963697585059640e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=343.3MB, alloc=4.4MB, time=14.63
x[1] = 1.296
y[1] (analytic) = 0.51741502180711084851061502719294
y[1] (numeric) = 0.51741502180711084851061502719298
absolute error = 4e-32
relative error = 7.7307380563279732223773742036614e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.297
y[1] (analytic) = 0.51834165137577935549007649418552
y[1] (numeric) = 0.51834165137577935549007649418555
absolute error = 3e-32
relative error = 5.7876884715658440428466382493456e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.298
y[1] (analytic) = 0.51926880157766881491042296700426
y[1] (numeric) = 0.5192688015776688149104229670043
absolute error = 4e-32
relative error = 7.7031394681270992677207130627045e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.299
y[1] (analytic) = 0.52019647070417898874734334573428
y[1] (numeric) = 0.52019647070417898874734334573432
absolute error = 4e-32
relative error = 7.6894024186386431664399110342301e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.3
y[1] (analytic) = 0.52112465704463394118556826619766
y[1] (numeric) = 0.5211246570446339411855682661977
absolute error = 4e-32
relative error = 7.6757066585268157066796388111905e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.301
y[1] (analytic) = 0.52205335888628888132033246008733
y[1] (numeric) = 0.52205335888628888132033246008737
absolute error = 4e-32
relative error = 7.6620520334038507893216587367756e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.302
y[1] (analytic) = 0.5229825745143370141342547146114
y[1] (numeric) = 0.52298257451433701413425471461144
absolute error = 4e-32
relative error = 7.6484383895860458171030868518905e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.303
y[1] (analytic) = 0.52391230221191639972223153326285
y[1] (numeric) = 0.52391230221191639972223153326289
absolute error = 4e-32
relative error = 7.6348655740900063369301022547087e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.304
y[1] (analytic) = 0.52484254026011682073690760728552
y[1] (numeric) = 0.52484254026011682073690760728556
absolute error = 4e-32
relative error = 7.6213334346289136113250852831592e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.305
y[1] (analytic) = 0.52577328693798665802725332511112
y[1] (numeric) = 0.52577328693798665802725332511117
absolute error = 5e-32
relative error = 9.5098022745110187017592925986574e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.306
y[1] (analytic) = 0.52670454052253977444274677462482
y[1] (numeric) = 0.52670454052253977444274677462487
absolute error = 5e-32
relative error = 9.4929882226561709062648156740828e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.307
y[1] (analytic) = 0.52763629928876240677562503070959
y[1] (numeric) = 0.52763629928876240677562503070964
absolute error = 5e-32
relative error = 9.4762244499475245934266727631952e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.308
y[1] (analytic) = 0.52856856150962006581363696825366
y[1] (numeric) = 0.52856856150962006581363696825371
absolute error = 5e-32
relative error = 9.4595107694633459274193986155791e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=347.1MB, alloc=4.4MB, time=14.80
x[1] = 1.309
y[1] (analytic) = 0.52950132545606444447569739880979
y[1] (numeric) = 0.52950132545606444447569739880984
absolute error = 5e-32
relative error = 9.4428469951297161171356040671261e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.31
y[1] (analytic) = 0.53043458939704033400280999750059
y[1] (numeric) = 0.53043458939704033400280999750064
absolute error = 5e-32
relative error = 9.4262329417160337642173929387053e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.311
y[1] (analytic) = 0.53136835159949254817659426569993
y[1] (numeric) = 0.53136835159949254817659426569998
absolute error = 5e-32
relative error = 9.4096684248305445246615692938032e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.312
y[1] (analytic) = 0.5323026103283728555377196646147
y[1] (numeric) = 0.53230261032837285553771966461475
absolute error = 5e-32
relative error = 9.3931532609158978972686297206982e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.313
y[1] (analytic) = 0.5332373638466469195765180552735
y[1] (numeric) = 0.53323736384664691957651805527355
absolute error = 5e-32
relative error = 9.3766872672447309536239106540452e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.314
y[1] (analytic) = 0.53417261041530124686801369172598
y[1] (numeric) = 0.53417261041530124686801369172603
absolute error = 5e-32
relative error = 9.3602702619152788257057875199722e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.315
y[1] (analytic) = 0.5351083482933501431235782365971
y[1] (numeric) = 0.53510834829335014312357823659714
absolute error = 4e-32
relative error = 7.4751216510776094148884868865012e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.316
y[1] (analytic) = 0.53604457573784267713138660165086
y[1] (numeric) = 0.53604457573784267713138660165091
absolute error = 5e-32
relative error = 9.3275824927762986172671989092329e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.317
y[1] (analytic) = 0.53698129100386965255781786082571
y[1] (numeric) = 0.53698129100386965255781786082575
absolute error = 4e-32
relative error = 7.4490490954016771659083148160723e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.318
y[1] (analytic) = 0.53791849234457058758191403943318
y[1] (numeric) = 0.53791849234457058758191403943322
absolute error = 4e-32
relative error = 7.4360708117053330657946091039719e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.319
y[1] (analytic) = 0.53885617801114070233497825099136
y[1] (numeric) = 0.5388561780111407023349782509914
absolute error = 4e-32
relative error = 7.4231310008610518466132494418987e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.32
y[1] (analytic) = 0.53979434625283791411736243261679
y[1] (numeric) = 0.53979434625283791411736243261683
absolute error = 4e-32
relative error = 7.4102295212377289789533129789449e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.321
y[1] (analytic) = 0.54073299531698984036446382115105
y[1] (numeric) = 0.5407329953169898403644638211511
absolute error = 5e-32
relative error = 9.2467077898009304459295275146945e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.322
y[1] (analytic) = 0.54167212344900080933391831537332
y[1] (numeric) = 0.54167212344900080933391831537336
memory used=350.9MB, alloc=4.4MB, time=14.96
absolute error = 4e-32
relative error = 7.3845409923086167716516118439799e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.323
y[1] (analytic) = 0.542611728892358878485947984873
y[1] (numeric) = 0.54261172889235887848594798487304
absolute error = 4e-32
relative error = 7.3717536629096785185801222201891e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.324
y[1] (analytic) = 0.54355180988864286052878921355038
y[1] (numeric) = 0.54355180988864286052878921355043
absolute error = 5e-32
relative error = 9.1987551306734624948593595266171e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.325
y[1] (analytic) = 0.54449236467752935710109730540066
y[1] (numeric) = 0.5444923646775293571010973054007
absolute error = 4e-32
relative error = 7.3462921787139541649827713721947e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.326
y[1] (analytic) = 0.5454333914967998000631928323411
y[1] (numeric) = 0.54543339149679980006319283234114
absolute error = 4e-32
relative error = 7.3336177475732507349659611740619e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.327
y[1] (analytic) = 0.54637488858234750036898456848462
y[1] (numeric) = 0.54637488858234750036898456848466
absolute error = 4e-32
relative error = 7.3209806738713899389924960326322e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.328
y[1] (analytic) = 0.5473168541681847044903735325662
y[1] (numeric) = 0.54731685416818470449037353256624
absolute error = 4e-32
relative error = 7.3083808209765857700427025600301e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.329
y[1] (analytic) = 0.54825928648644965836591245031471
y[1] (numeric) = 0.54825928648644965836591245031475
absolute error = 4e-32
relative error = 7.2958180528673285447696574887528e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.33
y[1] (analytic) = 0.54920218376741367884546485155091
y[1] (numeric) = 0.54920218376741367884546485155095
absolute error = 4e-32
relative error = 7.2832922341291966650837374266825e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.331
y[1] (analytic) = 0.55014554423948823260257803280374
y[1] (numeric) = 0.55014554423948823260257803280377
absolute error = 3e-32
relative error = 5.4531024224637655860815551117530e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.332
y[1] (analytic) = 0.55108936612923202248625424539162
y[1] (numeric) = 0.55108936612923202248625424539165
absolute error = 3e-32
relative error = 5.4437631795938001720847778218850e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.333
y[1] (analytic) = 0.55203364766135808128377471133256
y[1] (numeric) = 0.55203364766135808128377471133259
absolute error = 3e-32
relative error = 5.4344513467779287092348624059918e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.334
y[1] (analytic) = 0.55297838705874087286620142524526
y[1] (numeric) = 0.55297838705874087286620142524528
absolute error = 2e-32
relative error = 3.6167778828353147013665863673978e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.335
y[1] (analytic) = 0.55392358254242340068815216970218
y[1] (numeric) = 0.5539235825424234006881521697022
absolute error = 2e-32
relative error = 3.6106063417995492192908295533717e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=354.7MB, alloc=4.4MB, time=15.12
TOP MAIN SOLVE Loop
x[1] = 1.336
y[1] (analytic) = 0.55486923233162432361341475441266
y[1] (numeric) = 0.55486923233162432361341475441269
absolute error = 3e-32
relative error = 5.4066793132386436409085177064335e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.337
y[1] (analytic) = 0.55581533464374507903793718626676
y[1] (numeric) = 0.55581533464374507903793718626678
absolute error = 2e-32
relative error = 3.5983174182877093296616254827965e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.338
y[1] (analytic) = 0.55676188769437701328170128777656
y[1] (numeric) = 0.55676188769437701328170128777659
absolute error = 3e-32
relative error = 5.3882998572754108767486142030675e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.339
y[1] (analytic) = 0.55770888969730851922095820592802
y[1] (numeric) = 0.55770888969730851922095820592805
absolute error = 3e-32
relative error = 5.3791504052019378810399763545666e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.34
y[1] (analytic) = 0.55865633886453218113227529201764
y[1] (numeric) = 0.55865633886453218113227529201766
absolute error = 2e-32
relative error = 3.5800184493833825285640958961115e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.341
y[1] (analytic) = 0.55960423340625192671981498581334
y[1] (numeric) = 0.55960423340625192671981498581337
absolute error = 3e-32
relative error = 5.3609315671886835456023436195350e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.342
y[1] (analytic) = 0.56055257153089018629723760445986
y[1] (numeric) = 0.56055257153089018629723760445989
absolute error = 3e-32
relative error = 5.3518619882643424572094929860430e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.343
y[1] (analytic) = 0.56150135144509505909559131806304
y[1] (numeric) = 0.56150135144509505909559131806306
absolute error = 2e-32
relative error = 3.5618792276327491056837054276700e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.344
y[1] (analytic) = 0.56245057135374748666852408994824
y[1] (numeric) = 0.56245057135374748666852408994826
absolute error = 2e-32
relative error = 3.5558680208755990838709236063783e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.345
y[1] (analytic) = 0.56340022945996843336612397030975
y[1] (numeric) = 0.56340022945996843336612397030978
absolute error = 3e-32
relative error = 5.3248114628486507297169154926964e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.346
y[1] (analytic) = 0.56435032396512607384866585746382
y[1] (numeric) = 0.56435032396512607384866585746385
absolute error = 3e-32
relative error = 5.3158470414653017141810819930027e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.347
y[1] (analytic) = 0.56530085306884298761151468130166
y[1] (numeric) = 0.5653008530688429876115146813017
absolute error = 4e-32
relative error = 7.0758782306540680253077480714306e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.348
y[1] (analytic) = 0.56625181496900336049240691892252
y[1] (numeric) = 0.56625181496900336049240691892255
absolute error = 3e-32
relative error = 5.2979962636662278606514261300861e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=358.5MB, alloc=4.4MB, time=15.29
x[1] = 1.349
y[1] (analytic) = 0.56720320786176019313230442292252
y[1] (numeric) = 0.56720320786176019313230442292255
absolute error = 3e-32
relative error = 5.2891097201466559868524670368578e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.35
y[1] (analytic) = 0.56815502994154251636098672853553
y[1] (numeric) = 0.56815502994154251636098672853556
absolute error = 3e-32
relative error = 5.2802489494965310200195015012476e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.351
y[1] (analytic) = 0.56910727940106261347852030687707
y[1] (numeric) = 0.5691072794010626134785203068771
absolute error = 3e-32
relative error = 5.2714138591888103067239860420919e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.352
y[1] (analytic) = 0.57005995443132324940371564804414
y[1] (numeric) = 0.57005995443132324940371564804418
absolute error = 4e-32
relative error = 7.0168058094701535863795548810356e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.353
y[1] (analytic) = 0.57101305322162490666065558988144
y[1] (numeric) = 0.57101305322162490666065558988147
absolute error = 3e-32
relative error = 5.2538203515211456207854382644311e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.354
y[1] (analytic) = 0.57196657395957302817435095594856
y[1] (numeric) = 0.57196657395957302817435095594859
absolute error = 3e-32
relative error = 5.2450617511296070312610716679837e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.355
y[1] (analytic) = 0.57292051483108526684655232972286
y[1] (numeric) = 0.57292051483108526684655232972288
absolute error = 2e-32
relative error = 3.4908856433420995876091681734859e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.356
y[1] (analytic) = 0.57387487402039874188271967145677
y[1] (numeric) = 0.5738748740203987418827196714568
absolute error = 3e-32
relative error = 5.2276204026548183058201033639353e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.357
y[1] (analytic) = 0.57482964971007730184112447948644
y[1] (numeric) = 0.57482964971007730184112447948647
absolute error = 3e-32
relative error = 5.2189374739335182761802069516793e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.358
y[1] (analytic) = 0.57578484008101879437503230926684
y[1] (numeric) = 0.57578484008101879437503230926688
absolute error = 4e-32
relative error = 6.9470394521626502689963096893099e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.359
y[1] (analytic) = 0.57674044331246234263888669109656
y[1] (numeric) = 0.57674044331246234263888669109659
absolute error = 3e-32
relative error = 5.2016466588847858886586212073787e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.36
y[1] (analytic) = 0.57769645758199562832938883149814
y[1] (numeric) = 0.57769645758199562832938883149818
absolute error = 4e-32
relative error = 6.9240514590350557066232297503675e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.361
y[1] (analytic) = 0.57865288106556218133234094364629
y[1] (numeric) = 0.57865288106556218133234094364632
absolute error = 3e-32
relative error = 5.1844553067387143987453492311371e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=362.4MB, alloc=4.4MB, time=15.45
x[1] = 1.362
y[1] (analytic) = 0.5796097119374686759460946291897
y[1] (numeric) = 0.57960971193746867594609462918974
absolute error = 4e-32
relative error = 6.9011956108001532229300080963227e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.363
y[1] (analytic) = 0.5805669483703922336524194274017
y[1] (numeric) = 0.58056694837039223365241942740174
absolute error = 4e-32
relative error = 6.8898169474299203670566822493122e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.364
y[1] (analytic) = 0.58152458853538773240558045792222
y[1] (numeric) = 0.58152458853538773240558045792226
absolute error = 4e-32
relative error = 6.8784709689994243639613437550154e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.365
y[1] (analytic) = 0.58248263060189512241038801052638
y[1] (numeric) = 0.58248263060189512241038801052643
absolute error = 5e-32
relative error = 8.5839469493422734342504867493300e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.366
y[1] (analytic) = 0.58344107273774674835995597947577
y[1] (numeric) = 0.58344107273774674835995597947581
absolute error = 4e-32
relative error = 6.8558766033223306033241534008816e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.367
y[1] (analytic) = 0.58439991310917467810388020118144
y[1] (numeric) = 0.58439991310917467810388020118147
absolute error = 3e-32
relative error = 5.1334709891367744902545616018208e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.368
y[1] (analytic) = 0.58535914988081803771752203223705
y[1] (numeric) = 0.58535914988081803771752203223709
absolute error = 4e-32
relative error = 6.8334115915236302406165805056615e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.369
y[1] (analytic) = 0.58631878121573035294305690046788
y[1] (numeric) = 0.58631878121573035294305690046792
absolute error = 4e-32
relative error = 6.8222273073122631136316350846322e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.37
y[1] (analytic) = 0.58727880527538689697292207458993
y[1] (numeric) = 0.58727880527538689697292207458997
absolute error = 4e-32
relative error = 6.8110750193416552558434598326525e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.371
y[1] (analytic) = 0.58823922021969204454627252848534
y[1] (numeric) = 0.58823922021969204454627252848538
absolute error = 4e-32
relative error = 6.7999546145632793201118629899221e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.372
y[1] (analytic) = 0.58920002420698663232902852407592
y[1] (numeric) = 0.58920002420698663232902852407596
absolute error = 4e-32
relative error = 6.7888659804175355793608484357460e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.373
y[1] (analytic) = 0.5901612153940553255480734024184
y[1] (numeric) = 0.59016121539405532554807340241843
absolute error = 3e-32
relative error = 5.0833567536234589722638928676386e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.374
y[1] (analytic) = 0.59112279193613399085013505605237
y[1] (numeric) = 0.5911227919361339908501350560524
absolute error = 3e-32
relative error = 5.0750876821615188140898049335421e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=366.2MB, alloc=4.4MB, time=15.61
x[1] = 1.375
y[1] (analytic) = 0.59208475198691707535585965690556
y[1] (numeric) = 0.59208475198691707535585965690559
absolute error = 3e-32
relative error = 5.0668421875966316297300592186026e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.376
y[1] (analytic) = 0.59304709369856499187956143330018
y[1] (numeric) = 0.59304709369856499187956143330022
absolute error = 4e-32
relative error = 6.7448269159432504633068926518464e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.377
y[1] (analytic) = 0.59400981522171151028510762690832
y[1] (numeric) = 0.59400981522171151028510762690835
absolute error = 3e-32
relative error = 5.0504215976301054891035818557387e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.378
y[1] (analytic) = 0.59497291470547115494837321597146
y[1] (numeric) = 0.5949729147054711549483732159715
absolute error = 4e-32
relative error = 6.7229951164753709619591979195819e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.379
y[1] (analytic) = 0.59593639029744660829667556482894
y[1] (numeric) = 0.59593639029744660829667556482898
absolute error = 4e-32
relative error = 6.7121257656433784091430470487208e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.38
y[1] (analytic) = 0.59690024014373612039557485188756
y[1] (numeric) = 0.5969002401437361203955748518876
absolute error = 4e-32
relative error = 6.7012873022748038458066155064527e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.381
y[1] (analytic) = 0.59786446238894092455340193871064
y[1] (numeric) = 0.59786446238894092455340193871068
absolute error = 4e-32
relative error = 6.6904796181007973536821199460441e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.382
y[1] (analytic) = 0.59882905517617265891385127200213
y[1] (numeric) = 0.59882905517617265891385127200216
absolute error = 3e-32
relative error = 5.0097769539880029258944337338216e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.383
y[1] (analytic) = 0.59979401664706079400695245800978
y[1] (numeric) = 0.59979401664706079400695245800981
absolute error = 3e-32
relative error = 5.0017171174371718816763555188457e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.384
y[1] (analytic) = 0.6007593449417600662287103153645
y[1] (numeric) = 0.60075934494176006622871031536453
absolute error = 3e-32
relative error = 4.9936801237620891268581261045806e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.385
y[1] (analytic) = 0.60172503819895791721967949770688
y[1] (numeric) = 0.60172503819895791721967949770692
absolute error = 4e-32
relative error = 6.6475545241935177662695168776849e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.386
y[1] (analytic) = 0.60269109455588193911271618172173
y[1] (numeric) = 0.60269109455588193911271618172177
absolute error = 4e-32
relative error = 6.6368991281471759112306584853799e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.387
y[1] (analytic) = 0.60365751214830732562012583950062
y[1] (numeric) = 0.60365751214830732562012583950066
absolute error = 4e-32
relative error = 6.6262738713624672715274927719611e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=370.0MB, alloc=4.4MB, time=15.78
x[1] = 1.388
y[1] (analytic) = 0.60462428911056432893040275657642
y[1] (numeric) = 0.60462428911056432893040275657646
absolute error = 4e-32
relative error = 6.6156786487757886448040317718239e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.389
y[1] (analytic) = 0.60559142357554572238473371861408
y[1] (numeric) = 0.60559142357554572238473371861411
absolute error = 3e-32
relative error = 4.9538350168292285187536946903648e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.39
y[1] (analytic) = 0.60655891367471426890341517069316
y[1] (numeric) = 0.6065589136747142689034151706932
absolute error = 4e-32
relative error = 6.5945778881837059106037789086068e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.391
y[1] (analytic) = 0.60752675753811019513231015347154
y[1] (numeric) = 0.60752675753811019513231015347158
absolute error = 4e-32
relative error = 6.5840721422859794383497157855223e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.392
y[1] (analytic) = 0.6084949532943586712794484403678
y[1] (numeric) = 0.60849495329435867127944844036784
absolute error = 4e-32
relative error = 6.5735960147971925932414773862214e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.393
y[1] (analytic) = 0.60946349907067729661185053933518
y[1] (numeric) = 0.60946349907067729661185053933521
absolute error = 3e-32
relative error = 4.9223620521564668095222878648131e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.394
y[1] (analytic) = 0.61043239299288359058263358191141
y[1] (numeric) = 0.61043239299288359058263358191145
absolute error = 4e-32
relative error = 6.5527322041158977701349649389594e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.395
y[1] (analytic) = 0.61140163318540248955843460110943
y[1] (numeric) = 0.61140163318540248955843460110946
absolute error = 3e-32
relative error = 4.9067582374126154928381497937182e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.396
y[1] (analytic) = 0.61237121777127384911716429845106
y[1] (numeric) = 0.6123712177712738491171642984511
absolute error = 4e-32
relative error = 6.5319856386425332170798856401974e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.397
y[1] (analytic) = 0.61334114487215995188608211913209
y[1] (numeric) = 0.61334114487215995188608211913212
absolute error = 3e-32
relative error = 4.8912420519665228382162731042652e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.398
y[1] (analytic) = 0.6143114126083530208901612930285
y[1] (numeric) = 0.61431141260835302089016129302853
absolute error = 3e-32
relative error = 4.8835166308600138866522764127986e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.399
y[1] (analytic) = 0.6152820190987827383806904581018
y[1] (numeric) = 0.61528201909878273838069045810183
absolute error = 3e-32
relative error = 4.8758128904760889020013802350933e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.4
y[1] (analytic) = 0.6162529624610237701140365618219
y[1] (numeric) = 0.61625296246102377011403656182192
absolute error = 2e-32
relative error = 3.2454205039647079272891086054915e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=373.8MB, alloc=4.4MB, time=15.94
x[1] = 1.401
y[1] (analytic) = 0.61722424081130329505047193558826
y[1] (numeric) = 0.61722424081130329505047193558828
absolute error = 2e-32
relative error = 3.2403134351481773189399853073093e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.402
y[1] (analytic) = 0.6181958522645085404429467568808
y[1] (numeric) = 0.61819585226450854044294675688082
absolute error = 2e-32
relative error = 3.2352206710443222163373809749119e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.403
y[1] (analytic) = 0.61916779493419432228566655409729
y[1] (numeric) = 0.61916779493419432228566655409731
absolute error = 2e-32
relative error = 3.2301421623722559635204360254230e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.404
y[1] (analytic) = 0.62014006693259059109231296982126
y[1] (numeric) = 0.62014006693259059109231296982128
absolute error = 2e-32
relative error = 3.2250778600593155872121171191985e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.405
y[1] (analytic) = 0.62111266637060998297372467969842
y[1] (numeric) = 0.62111266637060998297372467969844
absolute error = 2e-32
relative error = 3.2200277152400327693204212873685e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.406
y[1] (analytic) = 0.62208559135785537598483416626588
y[1] (numeric) = 0.62208559135785537598483416626591
absolute error = 3e-32
relative error = 4.8224875188826659638031601917252e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.407
y[1] (analytic) = 0.62305884000262745171063497006246
y[1] (numeric) = 0.62305884000262745171063497006248
absolute error = 2e-32
relative error = 3.2099697036504063719103276215015e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.408
y[1] (analytic) = 0.62403241041193226206093308423282
y[1] (numeric) = 0.62403241041193226206093308423284
absolute error = 2e-32
relative error = 3.2049617401759194855770215599848e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.409
y[1] (analytic) = 0.62500630069148880124361532370934
y[1] (numeric) = 0.62500630069148880124361532370936
absolute error = 2e-32
relative error = 3.1999677407847859180083279312289e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.41
y[1] (analytic) = 0.62598050894573658288614678599386
y[1] (numeric) = 0.62598050894573658288614678599387
absolute error = 1e-32
relative error = 1.5974938288161388647483536365402e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.411
y[1] (analytic) = 0.62695503327784322227498892765241
y[1] (numeric) = 0.62695503327784322227498892765242
absolute error = 1e-32
relative error = 1.5950107215374042328884096006741e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.412
y[1] (analytic) = 0.62792987178971202368260930896038
y[1] (numeric) = 0.62792987178971202368260930896039
absolute error = 1e-32
relative error = 1.5925345248344720609868015612978e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.413
y[1] (analytic) = 0.62890502258198957275173370877538
y[1] (numeric) = 0.62890502258198957275173370877539
absolute error = 1e-32
relative error = 1.5900652150852098376552082322569e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=377.6MB, alloc=4.4MB, time=16.10
x[1] = 1.414
y[1] (analytic) = 0.62988048375407333390647108275264
y[1] (numeric) = 0.62988048375407333390647108275265
absolute error = 1e-32
relative error = 1.5876027687665805756312666787863e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.415
y[1] (analytic) = 0.63085625340411925275992173053298
y[1] (numeric) = 0.63085625340411925275992173053299
absolute error = 1e-32
relative error = 1.5851471624541565940450715926914e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.416
y[1] (analytic) = 0.6318323296290493634878590516072
y[1] (numeric) = 0.63183232962904936348785905160721
absolute error = 1e-32
relative error = 1.5826983728216360324659481202558e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.417
y[1] (analytic) = 0.63280871052455940113805540527304
y[1] (numeric) = 0.63280871052455940113805540527306
absolute error = 2e-32
relative error = 3.1605127532807241588850391792873e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.418
y[1] (analytic) = 0.63378539418512641884480284753104
y[1] (numeric) = 0.63378539418512641884480284753106
absolute error = 2e-32
relative error = 3.1556423015576897967412822161515e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.419
y[1] (analytic) = 0.63476237870401640991815989699253
y[1] (numeric) = 0.63476237870401640991815989699255
absolute error = 2e-32
relative error = 3.1507853444045724672887590403712e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.42
y[1] (analytic) = 0.63573966217329193477743598297568
y[1] (numeric) = 0.63573966217329193477743598297569
absolute error = 1e-32
relative error = 1.5729709179721066801648975670392e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.421
y[1] (analytic) = 0.6367172426838197526984058520208
y[1] (numeric) = 0.63671724268381975269840585202081
absolute error = 1e-32
relative error = 1.5705558652454755994008531172816e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.422
y[1] (analytic) = 0.63769511832527845834372695414316
y[1] (numeric) = 0.63769511832527845834372695414318
absolute error = 2e-32
relative error = 3.1362949825496873306235216859013e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.423
y[1] (analytic) = 0.63867328718616612304601369733572
y[1] (numeric) = 0.63867328718616612304601369733573
absolute error = 1e-32
relative error = 1.5657457734074780235626913968979e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.424
y[1] (analytic) = 0.639651747353807940813003448213
y[1] (numeric) = 0.63965174735380794081300344821301
absolute error = 1e-32
relative error = 1.5633506890850000475747096603731e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.425
y[1] (analytic) = 0.64063049691436387902423026832707
y[1] (numeric) = 0.64063049691436387902423026832708
absolute error = 1e-32
relative error = 1.5609622158429256750705865424419e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.426
y[1] (analytic) = 0.64160953395283633378860360966136
y[1] (numeric) = 0.64160953395283633378860360966138
absolute error = 2e-32
relative error = 3.1171606626204166177791312657230e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=381.4MB, alloc=4.4MB, time=16.27
x[1] = 1.427
y[1] (analytic) = 0.64258885655307778993227054919478
y[1] (numeric) = 0.64258885655307778993227054919479
absolute error = 1e-32
relative error = 1.5562050132087842659583341739153e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.428
y[1] (analytic) = 0.64356846279779848558612162130046
y[1] (numeric) = 0.64356846279779848558612162130047
absolute error = 1e-32
relative error = 1.5538362393531207584178446939918e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.429
y[1] (analytic) = 0.64454835076857408134228190817534
y[1] (numeric) = 0.64454835076857408134228190817535
absolute error = 1e-32
relative error = 1.5514739876497663910172665389370e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.43
y[1] (analytic) = 0.6455285185458533339489107725617
y[1] (numeric) = 0.6455285185458533339489107725617
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.431
y[1] (analytic) = 0.64650896420896577451261546379322
y[1] (numeric) = 0.64650896420896577451261546379323
absolute error = 1e-32
relative error = 1.5467689627839069307935937671304e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.432
y[1] (analytic) = 0.64748968583612939117776579774902
y[1] (numeric) = 0.64748968583612939117776579774903
absolute error = 1e-32
relative error = 1.5444261458908954000050554177714e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.433
y[1] (analytic) = 0.64847068150445831625197920370014
y[1] (numeric) = 0.64847068150445831625197920370015
absolute error = 1e-32
relative error = 1.5420897636882984911701635490759e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.434
y[1] (analytic) = 0.64945194928997051774702764635812
y[1] (numeric) = 0.64945194928997051774702764635813
absolute error = 1e-32
relative error = 1.5397597945364162040142225868128e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.435
y[1] (analytic) = 0.65043348726759549530440026975322
y[1] (numeric) = 0.65043348726759549530440026975322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.436
y[1] (analytic) = 0.65141529351118198047473807095286
y[1] (numeric) = 0.65141529351118198047473807095287
absolute error = 1e-32
relative error = 1.5351190092727448825422962149615e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.437
y[1] (analytic) = 0.65239736609350564132033949614891
y[1] (numeric) = 0.65239736609350564132033949614892
absolute error = 1e-32
relative error = 1.5328081503270106563897891617051e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.438
y[1] (analytic) = 0.65337970308627679130991855936382
y[1] (numeric) = 0.65337970308627679130991855936383
absolute error = 1e-32
relative error = 1.5305036187632431837033794616195e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.439
y[1] (analytic) = 0.65436230256014810247477991502208
y[1] (numeric) = 0.65436230256014810247477991502208
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=385.3MB, alloc=4.4MB, time=16.43
x[1] = 1.44
y[1] (analytic) = 0.65534516258472232279555826997058
y[1] (numeric) = 0.65534516258472232279555826997058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.441
y[1] (analytic) = 0.65632828122855999778865259828032
y[1] (numeric) = 0.65632828122855999778865259828032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.442
y[1] (analytic) = 0.65731165655918719626146882338787
y[1] (numeric) = 0.65731165655918719626146882338787
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.443
y[1] (analytic) = 0.658295286643103240205567956907
y[1] (numeric) = 0.65829528664310324020556795690699
absolute error = 1e-32
relative error = 1.5190751328319216613076090487794e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.444
y[1] (analytic) = 0.6592791695457884387968001318243
y[1] (numeric) = 0.6592791695457884387968001318243
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.445
y[1] (analytic) = 0.66026330333171182647148853985488
y[1] (numeric) = 0.66026330333171182647148853985488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.446
y[1] (analytic) = 0.66124768606433890504771097853954
y[1] (numeric) = 0.66124768606433890504771097853954
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.447
y[1] (analytic) = 0.66223231580613938986071053328031
y[1] (numeric) = 0.66223231580613938986071053328031
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.448
y[1] (analytic) = 0.66321719061859495988145086299966
y[1] (numeric) = 0.66321719061859495988145086299967
absolute error = 1e-32
relative error = 1.5078016887157003196188679885970e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.449
y[1] (analytic) = 0.66420230856220701178731562553582
y[1] (numeric) = 0.66420230856220701178731562553582
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.45
y[1] (analytic) = 0.6651876676965044179539357703151
y[1] (numeric) = 0.66518766769650441795393577031511
absolute error = 1e-32
relative error = 1.5033351467006685027092606029939e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.451
y[1] (analytic) = 0.66617326608005128833711274133635
y[1] (numeric) = 0.66617326608005128833711274133636
absolute error = 1e-32
relative error = 1.5011109735523882950748037765881e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.452
y[1] (analytic) = 0.6671591017704547362137900731235
y[1] (numeric) = 0.6671591017704547362137900731235
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=389.1MB, alloc=4.4MB, time=16.59
x[1] = 1.453
y[1] (analytic) = 0.66814517282437264775101042611448
y[1] (numeric) = 0.66814517282437264775101042611448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.454
y[1] (analytic) = 0.66913147729752145537177979601763
y[1] (numeric) = 0.66913147729752145537177979601763
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.455
y[1] (analytic) = 0.67011801324468391488674544404325
y[1] (numeric) = 0.67011801324468391488674544404325
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.456
y[1] (analytic) = 0.67110477871971688636057903166812
y[1] (numeric) = 0.67110477871971688636057903166812
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.457
y[1] (analytic) = 0.67209177177555911868194150477492
y[1] (numeric) = 0.67209177177555911868194150477491
absolute error = 1e-32
relative error = 1.4878920439066821392965113188039e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.458
y[1] (analytic) = 0.67307899046423903780589145768643
y[1] (numeric) = 0.67307899046423903780589145768642
absolute error = 1e-32
relative error = 1.4857097222872393447706840402227e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.459
y[1] (analytic) = 0.67406643283688253863758401784544
y[1] (numeric) = 0.67406643283688253863758401784543
absolute error = 1e-32
relative error = 1.4835333007035972459666693928997e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.46
y[1] (analytic) = 0.67505409694372078052609272673386
y[1] (numeric) = 0.67505409694372078052609272673385
absolute error = 1e-32
relative error = 1.4813627597069008528275292210815e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.461
y[1] (analytic) = 0.67604198083409798633717245213768
y[1] (numeric) = 0.67604198083409798633717245213768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.462
y[1] (analytic) = 0.67703008255647924507376705110478
y[1] (numeric) = 0.67703008255647924507376705110478
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.463
y[1] (analytic) = 0.6780184001584583180130513119684
y[1] (numeric) = 0.6780184001584583180130513119684
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.464
y[1] (analytic) = 0.67900693168676544832878263767682
y[1] (numeric) = 0.67900693168676544832878263767682
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.465
y[1] (analytic) = 0.67999567518727517416772399143522
y[1] (numeric) = 0.67999567518727517416772399143522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.466
y[1] (analytic) = 0.68098462870501414514888580938542
y[1] (numeric) = 0.68098462870501414514888580938542
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
memory used=392.9MB, alloc=4.4MB, time=16.76
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.467
y[1] (analytic) = 0.68197379028416894225432089377784
y[1] (numeric) = 0.68197379028416894225432089377784
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.468
y[1] (analytic) = 0.68296315796809390108019273388266
y[1] (numeric) = 0.68296315796809390108019273388265
absolute error = 1e-32
relative error = 1.4642078248776007324537124788843e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.469
y[1] (analytic) = 0.68395272979931893841682426079778
y[1] (numeric) = 0.68395272979931893841682426079777
absolute error = 1e-32
relative error = 1.4620893468667251935066718325213e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.47
y[1] (analytic) = 0.68494250381955738212642072639422
y[1] (numeric) = 0.68494250381955738212642072639421
absolute error = 1e-32
relative error = 1.4599765592345864878351155221569e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.471
y[1] (analytic) = 0.68593247806971380428714720594702
y[1] (numeric) = 0.68593247806971380428714720594701
absolute error = 1e-32
relative error = 1.4578694433803532115998884389515e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.472
y[1] (analytic) = 0.686922650589891857572228158586
y[1] (numeric) = 0.68692265058989185757222815858599
absolute error = 1e-32
relative error = 1.4557679807781186449808051264241e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.473
y[1] (analytic) = 0.68791301941940211483272353961659
y[1] (numeric) = 0.68791301941940211483272353961658
absolute error = 1e-32
relative error = 1.4536721529765477876036497061677e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.474
y[1] (analytic) = 0.68890358259676991185262314405904
y[1] (numeric) = 0.68890358259676991185262314405903
absolute error = 1e-32
relative error = 1.4515819415985262980754655220551e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.475
y[1] (analytic) = 0.68989433815974319324488817148565
y[1] (numeric) = 0.68989433815974319324488817148564
absolute error = 1e-32
relative error = 1.4494973283408113260539683632754e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.476
y[1] (analytic) = 0.69088528414530036145705643845099
y[1] (numeric) = 0.69088528414530036145705643845098
absolute error = 1e-32
relative error = 1.4474182949736842253550841961578e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.477
y[1] (analytic) = 0.69187641858965812885501522655952
y[1] (numeric) = 0.69187641858965812885501522655951
absolute error = 1e-32
relative error = 1.4453448233406051366801986263575e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.478
y[1] (analytic) = 0.69286773952827937285353344154874
y[1] (numeric) = 0.69286773952827937285353344154873
absolute error = 1e-32
relative error = 1.4432768953578694286217155326193e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.479
y[1] (analytic) = 0.69385924499588099406213257173272
y[1] (numeric) = 0.69385924499588099406213257173271
absolute error = 1e-32
relative error = 1.4412144930142659856819611257196e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=396.7MB, alloc=4.4MB, time=16.94
TOP MAIN SOLVE Loop
x[1] = 1.48
y[1] (analytic) = 0.69485093302644177741486387279966
y[1] (numeric) = 0.69485093302644177741486387279965
absolute error = 1e-32
relative error = 1.4391575983707373321163417151366e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.481
y[1] (analytic) = 0.69584280165321025625254727033631
y[1] (numeric) = 0.6958428016532102562525472703363
absolute error = 1e-32
relative error = 1.4371061935600415804869732948095e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.482
y[1] (analytic) = 0.69683484890871257932601566160902
y[1] (numeric) = 0.696834848908712579326015661609
absolute error = 2e-32
relative error = 2.8701205215728323877755064623743e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.483
y[1] (analytic) = 0.69782707282476038068889661411357
y[1] (numeric) = 0.69782707282476038068889661411356
absolute error = 1e-32
relative error = 1.4330197823252435508760433550295e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.484
y[1] (analytic) = 0.69881947143245865244845190026028
y[1] (numeric) = 0.69881947143245865244845190026027
absolute error = 1e-32
relative error = 1.4309847405227183022197840871486e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.485
y[1] (analytic) = 0.69981204276221362034298387533301
y[1] (numeric) = 0.69981204276221362034298387533299
absolute error = 2e-32
relative error = 2.8579102355910330172839305848921e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.486
y[1] (analytic) = 0.70080478484374062211430639959756
y[1] (numeric) = 0.70080478484374062211430639959754
absolute error = 2e-32
relative error = 2.8538617932609330976338914852004e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.487
y[1] (analytic) = 0.70179769570607198864376682518018
y[1] (numeric) = 0.70179769570607198864376682518017
absolute error = 1e-32
relative error = 1.4249120595842217869451437236471e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.488
y[1] (analytic) = 0.7027907733775649278202945141364
y[1] (numeric) = 0.70279077337756492782029451413639
absolute error = 1e-32
relative error = 1.4228985892829349893041207606413e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.489
y[1] (analytic) = 0.70378401588590941110894042602791
y[1] (numeric) = 0.7037840158859094111089404260279
absolute error = 1e-32
relative error = 1.4208904684219344792450529201669e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.49
y[1] (analytic) = 0.70477742125813606278836151136467
y[1] (numeric) = 0.70477742125813606278836151136466
absolute error = 1e-32
relative error = 1.4188876797654020201740339280660e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.491
y[1] (analytic) = 0.70577098752062405182569297149356
y[1] (numeric) = 0.70577098752062405182569297149355
absolute error = 1e-32
relative error = 1.4168902061460524161275856028699e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.492
y[1] (analytic) = 0.70676471269910898635724089596705
y[1] (numeric) = 0.70676471269910898635724089596705
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
memory used=400.5MB, alloc=4.4MB, time=17.11
TOP MAIN SOLVE Loop
x[1] = 1.493
y[1] (analytic) = 0.70775859481869081074341736514738
y[1] (numeric) = 0.70775859481869081074341736514737
absolute error = 1e-32
relative error = 1.4129111356905157365183884841243e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.494
y[1] (analytic) = 0.70875263190384170516632980883506
y[1] (numeric) = 0.70875263190384170516632980883506
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.495
y[1] (analytic) = 0.70974682197841398773842624109737
y[1] (numeric) = 0.70974682197841398773842624109737
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.496
y[1] (analytic) = 0.71074116306564801909058794725169
y[1] (numeric) = 0.71074116306564801909058794725169
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.497
y[1] (analytic) = 0.71173565318818010940805128117265
y[1] (numeric) = 0.71173565318818010940805128117265
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.498
y[1] (analytic) = 0.7127302903680504278825304397785
y[1] (numeric) = 0.71273029036805042788253043977851
absolute error = 1e-32
relative error = 1.4030552840452521000114919774297e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.499
y[1] (analytic) = 0.71372507262671091454890341675156
y[1] (numeric) = 0.71372507262671091454890341675156
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.5
y[1] (analytic) = 0.71471999798503319447481379929797
y[1] (numeric) = 0.71471999798503319447481379929798
absolute error = 1e-32
relative error = 1.3991493211596701339123479695237e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.501
y[1] (analytic) = 0.71571506446331649427153166009204
y[1] (numeric) = 0.71571506446331649427153166009205
absolute error = 1e-32
relative error = 1.3972040685630340584412434580476e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.502
y[1] (analytic) = 0.71671027008129556089440751151664
y[1] (numeric) = 0.71671027008129556089440751151665
absolute error = 1e-32
relative error = 1.3952639465966787874627195581398e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.503
y[1] (analytic) = 0.71770561285814858270124413094251
y[1] (numeric) = 0.71770561285814858270124413094252
absolute error = 1e-32
relative error = 1.3933289388913357777307888869964e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.504
y[1] (analytic) = 0.71870109081250511273690203412042
y[1] (numeric) = 0.71870109081250511273690203412044
absolute error = 2e-32
relative error = 2.7827980582845120631854203094919e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.505
y[1] (analytic) = 0.71969670196245399421244546882879
y[1] (numeric) = 0.7196967019624539942124454688288
absolute error = 1e-32
relative error = 1.3894742011089126908302727562913e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=404.3MB, alloc=4.4MB, time=17.28
x[1] = 1.506
y[1] (analytic) = 0.72069244432555128814712702275991
y[1] (numeric) = 0.72069244432555128814712702275992
absolute error = 1e-32
relative error = 1.3875544386147052002875154784271e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.507
y[1] (analytic) = 0.72168831591882820314150028827678
y[1] (numeric) = 0.72168831591882820314150028827679
absolute error = 1e-32
relative error = 1.3856397255466650319459255141765e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.508
y[1] (analytic) = 0.72268431475879902724994150216271
y[1] (numeric) = 0.72268431475879902724994150216272
absolute error = 1e-32
relative error = 1.3837300458551629601698887803007e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.509
y[1] (analytic) = 0.72368043886146906192085268085308
y[1] (numeric) = 0.72368043886146906192085268085309
absolute error = 1e-32
relative error = 1.3818253835536178789064384711052e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.51
y[1] (analytic) = 0.72467668624234255797281050091522
y[1] (numeric) = 0.72467668624234255797281050091523
absolute error = 1e-32
relative error = 1.3799257227182071516841794119231e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.511
y[1] (analytic) = 0.72567305491643065357491703076229
y[1] (numeric) = 0.7256730549164306535749170307623
absolute error = 1e-32
relative error = 1.3780310474875784853166546283152e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.512
y[1] (analytic) = 0.72666954289825931419960040278211
y[1] (numeric) = 0.72666954289825931419960040278212
absolute error = 1e-32
relative error = 1.3761413420625633182753711211466e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.513
y[1] (analytic) = 0.72766614820187727451610562526489
y[1] (numeric) = 0.7276661482018772745161056252649
absolute error = 1e-32
relative error = 1.3742565907058917147572176023021e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.514
y[1] (analytic) = 0.72866286884086398219290797075582
y[1] (numeric) = 0.72866286884086398219290797075583
absolute error = 1e-32
relative error = 1.3723767777419087555300913401802e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.515
y[1] (analytic) = 0.72965970282833754357727374177069
y[1] (numeric) = 0.7296597028283375435772737417707
absolute error = 1e-32
relative error = 1.3705018875562924166992076980954e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.516
y[1] (analytic) = 0.73065664817696267122018570622568
y[1] (numeric) = 0.7306566481769626712201857062257
absolute error = 2e-32
relative error = 2.7372638091915458551895956059156e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.517
y[1] (analytic) = 0.73165370289895863321484311347636
y[1] (numeric) = 0.73165370289895863321484311347638
absolute error = 2e-32
relative error = 2.7335336267357071980794208156225e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.518
y[1] (analytic) = 0.73265086500610720431693894756481
y[1] (numeric) = 0.73265086500610720431693894756483
absolute error = 2e-32
relative error = 2.7298131968810662266256534661274e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=408.1MB, alloc=4.4MB, time=17.46
x[1] = 1.519
y[1] (analytic) = 0.73364813250976061881490994716755
y[1] (numeric) = 0.73364813250976061881490994716757
absolute error = 2e-32
relative error = 2.7261024888840585343623503644189e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.52
y[1] (analytic) = 0.7346455034208495251183479218478
y[1] (numeric) = 0.73464550342084952511834792184782
absolute error = 2e-32
relative error = 2.7224014721210083188603991901461e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.521
y[1] (analytic) = 0.73564297574989094203275402157308
y[1] (numeric) = 0.73564297574989094203275402157309
absolute error = 1e-32
relative error = 1.3593550580437908143777933637695e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.522
y[1] (analytic) = 0.73664054750699621668881087108935
y[1] (numeric) = 0.73664054750699621668881087108936
absolute error = 1e-32
relative error = 1.3575141951991212329134655047387e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.523
y[1] (analytic) = 0.73763821670187898409434086267382
y[1] (numeric) = 0.73763821670187898409434086267383
absolute error = 1e-32
relative error = 1.3556781323928558626593568380685e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.524
y[1] (analytic) = 0.73863598134386312827711241004585
y[1] (numeric) = 0.73863598134386312827711241004586
absolute error = 1e-32
relative error = 1.3538468545502144789047779294623e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.525
y[1] (analytic) = 0.7396338394418907449866496028259
y[1] (numeric) = 0.73963383944189074498664960282591
absolute error = 1e-32
relative error = 1.3520203466550084680204985303551e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.526
y[1] (analytic) = 0.74063178900453010592319446492082
y[1] (numeric) = 0.74063178900453010592319446492083
absolute error = 1e-32
relative error = 1.3501985937493745051131840109475e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.527
y[1] (analytic) = 0.74162982803998362446196491160537
y[1] (numeric) = 0.74162982803998362446196491160539
absolute error = 2e-32
relative error = 2.6967631618670192354683015920926e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.528
y[1] (analytic) = 0.74262795455609582284084551888918
y[1] (numeric) = 0.7426279545560958228408455188892
absolute error = 2e-32
relative error = 2.6931385867308152550200062703664e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.529
y[1] (analytic) = 0.7436261665603613007796423650289
y[1] (numeric) = 0.74362616656036130077964236502892
absolute error = 2e-32
relative error = 2.6895234325211939232314413824627e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.53
y[1] (analytic) = 0.74462446205993270549902747779107
y[1] (numeric) = 0.74462446205993270549902747779109
absolute error = 2e-32
relative error = 2.6859176697837596521267868294549e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.531
y[1] (analytic) = 0.7456228390616287031072928223146
y[1] (numeric) = 0.74562283906162870310729282231462
absolute error = 2e-32
relative error = 2.6823212691781454656640999159110e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=412.0MB, alloc=4.4MB, time=17.64
x[1] = 1.532
y[1] (analytic) = 0.7466212955719419513230282931854
y[1] (numeric) = 0.74662129557194195132302829318542
absolute error = 2e-32
relative error = 2.6787342014774967458318028440271e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.533
y[1] (analytic) = 0.74761982959704707350183283064147
y[1] (numeric) = 0.7476198295970470735018328306415
absolute error = 3e-32
relative error = 4.0127346563519364822594793351513e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.534
y[1] (analytic) = 0.74861843914280863393516256469611
y[1] (numeric) = 0.74861843914280863393516256469614
absolute error = 3e-32
relative error = 4.0073819226722403266461782881375e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.535
y[1] (analytic) = 0.74961712221478911438941480242027
y[1] (numeric) = 0.7496171222147891143894148024203
absolute error = 3e-32
relative error = 4.0020430578430740751644418304945e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.536
y[1] (analytic) = 0.75061587681825689185334171268359
y[1] (numeric) = 0.75061587681825689185334171268361
absolute error = 2e-32
relative error = 2.6644786791317107148479617442810e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.537
y[1] (analytic) = 0.7516147009581942174618827293363
y[1] (numeric) = 0.75161470095819421746188272933632
absolute error = 2e-32
relative error = 2.6609378414902006935981770984563e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.538
y[1] (analytic) = 0.75261359263930519656449998814106
y[1] (numeric) = 0.75261359263930519656449998814108
absolute error = 2e-32
relative error = 2.6574061637477129567088053941736e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.539
y[1] (analytic) = 0.75361254986602376990609653475288
y[1] (numeric) = 0.75361254986602376990609653475291
absolute error = 3e-32
relative error = 3.9808254261866206756541408667185e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.54
y[1] (analytic) = 0.75461157064252169588859259071607
y[1] (numeric) = 0.7546115706425216958885925907161
absolute error = 3e-32
relative error = 3.9755552614249202292650286156736e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.541
y[1] (analytic) = 0.75561065297271653388123084181601
y[1] (numeric) = 0.75561065297271653388123084181603
absolute error = 2e-32
relative error = 2.6468658059962736834770750019773e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.542
y[1] (analytic) = 0.75660979486027962854767751820908
y[1] (numeric) = 0.7566097948602796285476775182091
absolute error = 2e-32
relative error = 2.6433704844771837853054198926273e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.543
y[1] (analytic) = 0.75760899430864409515798196857225
y[1] (numeric) = 0.75760899430864409515798196857227
absolute error = 2e-32
relative error = 2.6398841817144733308338558749649e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.544
y[1] (analytic) = 0.75860824932101280585345349108094
y[1] (numeric) = 0.75860824932101280585345349108096
absolute error = 2e-32
relative error = 2.6364068698041268377413291168902e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=415.8MB, alloc=4.4MB, time=17.81
x[1] = 1.545
y[1] (analytic) = 0.75960755790036637683251037235635
y[1] (numeric) = 0.75960755790036637683251037235637
absolute error = 2e-32
relative error = 2.6329385209491678128081722963945e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.546
y[1] (analytic) = 0.76060691804947115642555240163559
y[1] (numeric) = 0.76060691804947115642555240163562
absolute error = 3e-32
relative error = 3.9442186611887678645012634445729e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.547
y[1] (analytic) = 0.76160632777088721402690457132541
y[1] (numeric) = 0.76160632777088721402690457132544
absolute error = 3e-32
relative error = 3.9390429026247338290076565899343e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.548
y[1] (analytic) = 0.76260578506697632985187624681646
y[1] (numeric) = 0.76260578506697632985187624681649
absolute error = 3e-32
relative error = 3.9338804645135535188877279353781e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.549
y[1] (analytic) = 0.76360528793990998548697678797462
y[1] (numeric) = 0.76360528793990998548697678797465
absolute error = 3e-32
relative error = 3.9287313057948303799370493520490e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.55
y[1] (analytic) = 0.76460483439167735520132543210083
y[1] (numeric) = 0.76460483439167735520132543210086
absolute error = 3e-32
relative error = 3.9235953855651618029159788290053e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.551
y[1] (analytic) = 0.76560442242409329798729020337506
y[1] (numeric) = 0.76560442242409329798729020337509
absolute error = 3e-32
relative error = 3.9184726630774371431758133747965e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.552
y[1] (analytic) = 0.76660405003880635029838769688474
y[1] (numeric) = 0.76660405003880635029838769688477
absolute error = 3e-32
relative error = 3.9133630977401393337072932789215e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.553
y[1] (analytic) = 0.7676037152373067194524727962956
y[1] (numeric) = 0.76760371523730671945247279629563
absolute error = 3e-32
relative error = 3.9082666491166500708671259935431e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.554
y[1] (analytic) = 0.76860341602093427766824472306383
y[1] (numeric) = 0.76860341602093427766824472306386
absolute error = 3e-32
relative error = 3.9031832769245585521712174581466e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.555
y[1] (analytic) = 0.76960315039088655670309328182416
y[1] (numeric) = 0.76960315039088655670309328182419
absolute error = 3e-32
relative error = 3.8981129410349737456753795983930e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.556
y[1] (analytic) = 0.77060291634822674306030676122831
y[1] (numeric) = 0.77060291634822674306030676122834
absolute error = 3e-32
relative error = 3.8930556014718401705954322090451e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.557
y[1] (analytic) = 0.77160271189389167373366067206254
y[1] (numeric) = 0.77160271189389167373366067206257
absolute error = 3e-32
relative error = 3.8880112184112571689488426431005e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=419.6MB, alloc=4.4MB, time=18.00
x[1] = 1.558
y[1] (analytic) = 0.77260253502869983245740435495034
y[1] (numeric) = 0.77260253502869983245740435495037
absolute error = 3e-32
relative error = 3.8829797521808016481293547790933e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.559
y[1] (analytic) = 0.77360238375335934642966046835544
y[1] (numeric) = 0.77360238375335934642966046835547
absolute error = 3e-32
relative error = 3.8779611632588542744544566706921e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.56
y[1] (analytic) = 0.77460225606847598347725047394953
y[1] (numeric) = 0.77460225606847598347725047394956
absolute error = 3e-32
relative error = 3.8729554122739290978530310834249e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.561
y[1] (analytic) = 0.77560214997456114962995747070564
y[1] (numeric) = 0.77560214997456114962995747070567
absolute error = 3e-32
relative error = 3.8679624600040065879871317206977e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.562
y[1] (analytic) = 0.77660206347203988707223609132926
y[1] (numeric) = 0.77660206347203988707223609132929
absolute error = 3e-32
relative error = 3.8629822673758700622275372057954e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.563
y[1] (analytic) = 0.77760199456125887244037766485151
y[1] (numeric) = 0.77760199456125887244037766485154
absolute error = 3e-32
relative error = 3.8580147954644454860275616317639e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.564
y[1] (analytic) = 0.77860194124249441543313746738819
y[1] (numeric) = 0.77860194124249441543313746738822
absolute error = 3e-32
relative error = 3.8530600054921446263635514739373e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.565
y[1] (analytic) = 0.77960190151596045770382962922042
y[1] (numeric) = 0.77960190151596045770382962922046
absolute error = 4e-32
relative error = 5.1308238117709487187114407751246e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.566
y[1] (analytic) = 0.78060187338181657200189414048255
y[1] (numeric) = 0.78060187338181657200189414048259
absolute error = 4e-32
relative error = 5.1242510893174298276374326249277e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.567
y[1] (analytic) = 0.78160185484017596153193939985468
y[1] (numeric) = 0.78160185484017596153193939985472
absolute error = 4e-32
relative error = 5.1176951221769179425432784140703e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.568
y[1] (analytic) = 0.78260184389111345949826288075557
y[1] (numeric) = 0.7826018438911134594982628807556
absolute error = 3e-32
relative error = 3.8333668945679126966424414293189e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.569
y[1] (analytic) = 0.7836018385346735288028517476192
y[1] (numeric) = 0.78360183853467352880285174761923
absolute error = 3e-32
relative error = 3.8284749377438491856922086508711e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.57
y[1] (analytic) = 0.78460183677087826186486464091889
y[1] (numeric) = 0.78460183677087826186486464091892
absolute error = 3e-32
relative error = 3.8235954332542160892146521039080e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=423.4MB, alloc=4.4MB, time=18.18
x[1] = 1.571
y[1] (analytic) = 0.78560183659973538052959536367818
y[1] (numeric) = 0.78560183659973538052959536367821
absolute error = 3e-32
relative error = 3.8187283433357117356207472367592e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.572
y[1] (analytic) = 0.78660183602124623603491884428029
y[1] (numeric) = 0.78660183602124623603491884428032
absolute error = 3e-32
relative error = 3.8138736303673839132023863408247e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.573
y[1] (analytic) = 0.78760183303541380900321952045893
y[1] (numeric) = 0.78760183303541380900321952045896
absolute error = 3e-32
relative error = 3.8090312568700023512793329733681e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.574
y[1] (analytic) = 0.78860182564225070942680218742364
y[1] (numeric) = 0.78860182564225070942680218742366
absolute error = 2e-32
relative error = 2.5361341236702895784843450551245e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.575
y[1] (analytic) = 0.78960181184178717661478537914277
y[1] (numeric) = 0.78960181184178717661478537914279
absolute error = 2e-32
relative error = 2.5329222527173491099050946820725e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.576
y[1] (analytic) = 0.79060178963407907906947750587735
y[1] (numeric) = 0.79060178963407907906947750587737
absolute error = 2e-32
relative error = 2.5297185336826481705033397482917e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.577
y[1] (analytic) = 0.79160175701921591426023625312765
y[1] (numeric) = 0.79160175701921591426023625312767
absolute error = 2e-32
relative error = 2.5265229419538170021657690644306e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.578
y[1] (analytic) = 0.79260171199732880826281215722126
y[1] (numeric) = 0.79260171199732880826281215722128
absolute error = 2e-32
relative error = 2.5233354530109068359068039414658e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.579
y[1] (analytic) = 0.79360165256859851523217781083457
y[1] (numeric) = 0.7936016525685985152321778108346
absolute error = 3e-32
relative error = 3.7802340636389760491385371423109e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.58
y[1] (analytic) = 0.79460157673326341667684481779684
y[1] (numeric) = 0.79460157673326341667684481779687
absolute error = 3e-32
relative error = 3.7754770287940893969250113676481e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.581
y[1] (analytic) = 0.7956014824916275205026714105746
y[1] (numeric) = 0.79560148249162752050267141057462
absolute error = 2e-32
relative error = 2.5138213590760207234641630692128e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.582
y[1] (analytic) = 0.79660136784406845979416456587143
y[1] (numeric) = 0.79660136784406845979416456587145
absolute error = 2e-32
relative error = 2.5106660379115643474943576124756e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.583
y[1] (analytic) = 0.79760123079104549130128150379968
y[1] (numeric) = 0.7976012307910454913012815037997
absolute error = 2e-32
relative error = 2.5075186983054660526937787371914e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=427.2MB, alloc=4.4MB, time=18.35
x[1] = 1.584
y[1] (analytic) = 0.79860106933310749359973663408272
y[1] (numeric) = 0.79860106933310749359973663408274
absolute error = 2e-32
relative error = 2.5043793162838509585436884873484e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.585
y[1] (analytic) = 0.79960088147090096489282131872418
y[1] (numeric) = 0.7996008814709009648928213187242
absolute error = 2e-32
relative error = 2.5012478679624665965573921671718e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.586
y[1] (analytic) = 0.8006006652051780204227452545289
y[1] (numeric) = 0.80060066520517802042274525452892
absolute error = 2e-32
relative error = 2.4981243295462910904449402251995e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.587
y[1] (analytic) = 0.80160041853680438945950984077321
y[1] (numeric) = 0.80160041853680438945950984077323
absolute error = 2e-32
relative error = 2.4950086773291432967667814273001e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.588
y[1] (analytic) = 0.80260013946676741183532558719376
y[1] (numeric) = 0.80260013946676741183532558719377
absolute error = 1e-32
relative error = 1.2459504438466474475038998264842e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.589
y[1] (analytic) = 0.80359982599618403399258743528729
y[1] (numeric) = 0.80359982599618403399258743528731
absolute error = 2e-32
relative error = 2.4888009371090844160725649565114e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.59
y[1] (analytic) = 0.80459947612630880451342381168153
y[1] (numeric) = 0.80459947612630880451342381168155
absolute error = 2e-32
relative error = 2.4857088021345331982715489323856e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.591
y[1] (analytic) = 0.80559908785854186909883730604154
y[1] (numeric) = 0.80559908785854186909883730604156
absolute error = 2e-32
relative error = 2.4826244594149632599364985163723e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.592
y[1] (analytic) = 0.80659865919443696496545706760896
y[1] (numeric) = 0.80659865919443696496545706760898
absolute error = 2e-32
relative error = 2.4795478856826170778711347164502e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.593
y[1] (analytic) = 0.80759818813570941462792534402363
y[1] (numeric) = 0.80759818813570941462792534402366
absolute error = 3e-32
relative error = 3.7147185866344188913662704175839e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.594
y[1] (analytic) = 0.80859767268424411903494304353991
y[1] (numeric) = 0.80859767268424411903494304353993
absolute error = 2e-32
relative error = 2.4734179525409001079320931349070e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.595
y[1] (analytic) = 0.80959711084210355002700178711279
y[1] (numeric) = 0.80959711084210355002700178711282
absolute error = 3e-32
relative error = 3.7055468205408315595781912281560e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.596
y[1] (analytic) = 0.81059650061153574208383263008247
y[1] (numeric) = 0.8105965006115357420838326300825
absolute error = 3e-32
relative error = 3.7009782274371028412386974493090e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=431.0MB, alloc=4.4MB, time=18.53
x[1] = 1.597
y[1] (analytic) = 0.81159583999498228332960447431787
y[1] (numeric) = 0.8115958399949822833296044743179
absolute error = 3e-32
relative error = 3.6964211152419751114677370439498e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.598
y[1] (analytic) = 0.81259512699508630576390816068033
y[1] (numeric) = 0.81259512699508630576390816068036
absolute error = 3e-32
relative error = 3.6918754498242773084192646382346e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.599
y[1] (analytic) = 0.81359435961470047468656532852468
y[1] (numeric) = 0.81359435961470047468656532852471
absolute error = 3e-32
relative error = 3.6873411971793054378374234327091e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.6
y[1] (analytic) = 0.81459353585689497728430435365477
y[1] (numeric) = 0.8145935358568949772843043536548
absolute error = 3e-32
relative error = 3.6828183234282745398951746454956e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.601
y[1] (analytic) = 0.81559265372496551034734902868125
y[1] (numeric) = 0.81559265372496551034734902868128
absolute error = 3e-32
relative error = 3.6783067948177733735431421018616e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.602
y[1] (analytic) = 0.81659171122244126708396913007707
y[1] (numeric) = 0.8165917112224412670839691300771
absolute error = 3e-32
relative error = 3.6738065777192218031597384037720e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.603
y[1] (analytic) = 0.81759070635309292300104562437759
y[1] (numeric) = 0.81759070635309292300104562437762
absolute error = 3e-32
relative error = 3.6693176386283308723881558087149e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.604
y[1] (analytic) = 0.81858963712094062081870700191228
y[1] (numeric) = 0.81858963712094062081870700191231
absolute error = 3e-32
relative error = 3.6648399441645655501396750972553e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.605
y[1] (analytic) = 0.81958850153026195438709709016922
y[1] (numeric) = 0.81958850153026195438709709016925
absolute error = 3e-32
relative error = 3.6603734610706101338359741369125e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.606
y[1] (analytic) = 0.82058729758559995157333869036637
y[1] (numeric) = 0.8205872975855999515733386903664
absolute error = 3e-32
relative error = 3.6559181562118362950557093406068e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.607
y[1] (analytic) = 0.82158602329177105608676150001897
y[1] (numeric) = 0.821586023291771056086761500019
absolute error = 3e-32
relative error = 3.6514739965757737528426025169769e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.608
y[1] (analytic) = 0.8225846766538731082104670312337
y[1] (numeric) = 0.82258467665387310821046703123373
absolute error = 3e-32
relative error = 3.6470409492715835600235974249352e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.609
y[1] (analytic) = 0.82358325567729332440730760911101
y[1] (numeric) = 0.82358325567729332440730760911104
absolute error = 3e-32
relative error = 3.6426189815295339879763593455325e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=434.8MB, alloc=4.4MB, time=18.71
x[1] = 1.61
y[1] (analytic) = 0.82458175836771627576836103697901
y[1] (numeric) = 0.82458175836771627576836103697904
absolute error = 3e-32
relative error = 3.6382080607004789953754818025450e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.611
y[1] (analytic) = 0.82558018273113186527198714519828
y[1] (numeric) = 0.82558018273113186527198714519831
absolute error = 3e-32
relative error = 3.6338081542553392665362417938655e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.612
y[1] (analytic) = 0.82657852677384330382155719794768
y[1] (numeric) = 0.82657852677384330382155719794771
absolute error = 3e-32
relative error = 3.6294192297845858050636130964808e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.613
y[1] (analytic) = 0.82757678850247508502995201770823
y[1] (numeric) = 0.82757678850247508502995201770826
absolute error = 3e-32
relative error = 3.6250412549977260686025108995801e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.614
y[1] (analytic) = 0.82857496592398095871892970008573
y[1] (numeric) = 0.82857496592398095871892970008576
absolute error = 3e-32
relative error = 3.6206741977227926305729046878588e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.615
y[1] (analytic) = 0.82957305704565190310146893213243
y[1] (numeric) = 0.82957305704565190310146893213246
absolute error = 3e-32
relative error = 3.6163180259058343548605043890160e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.616
y[1] (analytic) = 0.83057105987512409561519919542416
y[1] (numeric) = 0.83057105987512409561519919542419
absolute error = 3e-32
relative error = 3.6119727076104100695202017287196e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.617
y[1] (analytic) = 0.83156897242038688237503453079985
y[1] (numeric) = 0.83156897242038688237503453079988
absolute error = 3e-32
relative error = 3.6076382110170847256353388804602e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.618
y[1] (analytic) = 0.83256679268979074621313306485434
y[1] (numeric) = 0.83256679268979074621313306485438
absolute error = 4e-32
relative error = 4.8044193392305707034149122655255e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.619
y[1] (analytic) = 0.83356451869205527327431014897038
y[1] (numeric) = 0.83356451869205527327431014897042
absolute error = 4e-32
relative error = 4.7986687416546873611542991914681e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.62
y[1] (analytic) = 0.83456214843627711813503873985941
y[1] (numeric) = 0.83456214843627711813503873985945
absolute error = 4e-32
relative error = 4.7929324466665761658200509300110e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.621
y[1] (analytic) = 0.83555967993193796741417655622977
y[1] (numeric) = 0.83555967993193796741417655622981
absolute error = 4e-32
relative error = 4.7872104124577041236454702392877e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.622
y[1] (analytic) = 0.83655711118891250184356557929189
y[1] (numeric) = 0.83655711118891250184356557929193
absolute error = 4e-32
relative error = 4.7815025973722365283425386614510e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=438.7MB, alloc=4.4MB, time=18.89
x[1] = 1.623
y[1] (analytic) = 0.83755444021747635676665562531844
y[1] (numeric) = 0.83755444021747635676665562531848
absolute error = 4e-32
relative error = 4.7758089599063846724829117445019e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.624
y[1] (analytic) = 0.83855166502831408103331000637925
y[1] (numeric) = 0.83855166502831408103331000637929
absolute error = 4e-32
relative error = 4.7701294587077567462307398524568e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.625
y[1] (analytic) = 0.83954878363252709425895771064021
y[1] (numeric) = 0.83954878363252709425895771064025
absolute error = 4e-32
relative error = 4.7644640525747119058400916731833e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.626
y[1] (analytic) = 0.84054579404164164241626307622703
y[1] (numeric) = 0.84054579404164164241626307622707
absolute error = 4e-32
relative error = 4.7588127004557174944374913633362e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.627
y[1] (analytic) = 0.84154269426761675172749060258271
y[1] (numeric) = 0.84154269426761675172749060258275
absolute error = 4e-32
relative error = 4.7531753614487093977170875776841e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.628
y[1] (analytic) = 0.84253948232285218082574934046458
y[1] (numeric) = 0.84253948232285218082574934046462
absolute error = 4e-32
relative error = 4.7475519948004555172822587591505e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.629
y[1] (analytic) = 0.84353615622019637115330822620631
y[1] (numeric) = 0.84353615622019637115330822620635
absolute error = 4e-32
relative error = 4.7419425599059223444730293169649e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.63
y[1] (analytic) = 0.84453271397295439556518077758402
y[1] (numeric) = 0.84453271397295439556518077758406
absolute error = 4e-32
relative error = 4.7363470163076446176235309520812e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.631
y[1] (analytic) = 0.84552915359489590510618474754586
y[1] (numeric) = 0.84552915359489590510618474754591
absolute error = 5e-32
relative error = 5.9134566546188725572473720228811e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.632
y[1] (analytic) = 0.8465254731002630739296896381622
y[1] (numeric) = 0.84652547310026307392968963816225
absolute error = 5e-32
relative error = 5.9064968023800938526955457621408e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.633
y[1] (analytic) = 0.84752167050377854232627241039947
y[1] (numeric) = 0.84752167050377854232627241039952
absolute error = 5e-32
relative error = 5.8995541636450796627583464677275e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.634
y[1] (analytic) = 0.84851774382065335783050928568568
y[1] (numeric) = 0.84851774382065335783050928568573
absolute error = 5e-32
relative error = 5.8926286885720367078699587032706e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.635
y[1] (analytic) = 0.8495136910665949143741392226884
y[1] (numeric) = 0.84951369106659491437413922268845
absolute error = 5e-32
relative error = 5.8857203274997494522545882334856e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=442.5MB, alloc=4.4MB, time=19.07
x[1] = 1.636
y[1] (analytic) = 0.85050951025781488945384246723698
y[1] (numeric) = 0.85050951025781488945384246723702
absolute error = 4e-32
relative error = 4.7030632247574518885917285885780e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.637
y[1] (analytic) = 0.85150519941103717928188551485749
y[1] (numeric) = 0.85150519941103717928188551485754
absolute error = 5e-32
relative error = 5.8719547496108808642154552412238e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.638
y[1] (analytic) = 0.85250075654350583188789189392103
y[1] (numeric) = 0.85250075654350583188789189392108
absolute error = 5e-32
relative error = 5.8650974343678885134388553254911e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.639
y[1] (analytic) = 0.85349617967299297814000637289941
y[1] (numeric) = 0.85349617967299297814000637289946
absolute error = 5e-32
relative error = 5.8582570362713178010022684565039e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.64
y[1] (analytic) = 0.85449146681780676065372851764631
y[1] (numeric) = 0.85449146681780676065372851764636
absolute error = 5e-32
relative error = 5.8514335065514371314113059543101e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.641
y[1] (analytic) = 0.8554866159967992605566999739415
y[1] (numeric) = 0.85548661599679926055669997394155
absolute error = 5e-32
relative error = 5.8446267966145564193365387377849e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.642
y[1] (analytic) = 0.85648162522937442207773842671794
y[1] (numeric) = 0.85648162522937442207773842671799
absolute error = 5e-32
relative error = 5.8378368580422837962255534085750e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.643
y[1] (analytic) = 0.85747649253549597492841989040211
y[1] (numeric) = 0.85747649253549597492841989040216
absolute error = 5e-32
relative error = 5.8310636425907859055816351757002e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.644
y[1] (analytic) = 0.85847121593569535444551981460161
y[1] (numeric) = 0.85847121593569535444551981460165
absolute error = 4e-32
relative error = 4.6594456817520414138677636299639e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.645
y[1] (analytic) = 0.85946579345107961946263244593566
y[1] (numeric) = 0.8594657934510796194626324459357
absolute error = 4e-32
relative error = 4.6540537511545281534789114754115e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.646
y[1] (analytic) = 0.86046022310333936787929697008843
y[1] (numeric) = 0.86046022310333936787929697008847
absolute error = 4e-32
relative error = 4.6486750841004405793814629240921e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.647
y[1] (analytic) = 0.86145450291475664989596816813447
y[1] (numeric) = 0.86145450291475664989596816813451
absolute error = 4e-32
relative error = 4.6433096425474384797557883308974e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.648
y[1] (analytic) = 0.86244863090821287888317865780482
y[1] (numeric) = 0.86244863090821287888317865780486
absolute error = 4e-32
relative error = 4.6379573885899121527635176840164e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=446.3MB, alloc=4.4MB, time=19.25
x[1] = 1.649
y[1] (analytic) = 0.86344260510719673985324925359249
y[1] (numeric) = 0.86344260510719673985324925359253
absolute error = 4e-32
relative error = 4.6326182844584075428169382919018e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.65
y[1] (analytic) = 0.86443642353581209550291356940062
y[1] (numeric) = 0.86443642353581209550291356940066
absolute error = 4e-32
relative error = 4.6272922925190541401341260816651e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.651
y[1] (analytic) = 0.86543008421878588979523270377623
y[1] (numeric) = 0.86543008421878588979523270377627
absolute error = 4e-32
relative error = 4.6219793752729956285708273093886e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.652
y[1] (analytic) = 0.8664235851814760490491856906089
y[1] (numeric) = 0.86642358518147604904918569060894
absolute error = 4e-32
relative error = 4.6166794953558232668105829264769e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.653
y[1] (analytic) = 0.86741692444987938050533136746748
y[1] (numeric) = 0.86741692444987938050533136746752
absolute error = 4e-32
relative error = 4.6113926155370119880844627645393e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.654
y[1] (analytic) = 0.86841010005063946833594740945865
y[1] (numeric) = 0.86841010005063946833594740945869
absolute error = 4e-32
relative error = 4.6061186987193592036810554415833e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.655
y[1] (analytic) = 0.86940311001105456706806249857924
y[1] (numeric) = 0.86940311001105456706806249857928
absolute error = 4e-32
relative error = 4.6008577079384262955960467675701e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.656
y[1] (analytic) = 0.87039595235908549238780794695829
y[1] (numeric) = 0.87039595235908549238780794695833
absolute error = 4e-32
relative error = 4.5956096063619827837588187169480e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.657
y[1] (analytic) = 0.87138862512336350929452556710326
y[1] (numeric) = 0.8713886251233635092945255671033
absolute error = 4e-32
relative error = 4.5903743572894531533610169854046e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.658
y[1] (analytic) = 0.8723811263331982175730791832366
y[1] (numeric) = 0.87238112633319821757307918323664
absolute error = 4e-32
relative error = 4.5851519241513663278989719703333e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.659
y[1] (analytic) = 0.8733734540185854345528279049905
y[1] (numeric) = 0.87337345401858543455282790499053
absolute error = 3e-32
relative error = 3.4349567028816058302211649167451e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.66
y[1] (analytic) = 0.8743656062102150751217301380771
y[1] (numeric) = 0.87436560621021507512173013807714
absolute error = 4e-32
relative error = 4.5747453600528742212141618220000e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.661
y[1] (analytic) = 0.87535758093947902896405828602488
y[1] (numeric) = 0.87535758093947902896405828602491
absolute error = 3e-32
relative error = 3.4271708674530982428360921428710e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=450.1MB, alloc=4.4MB, time=19.43
x[1] = 1.662
y[1] (analytic) = 0.87634937623847903499021520262517
y[1] (numeric) = 0.8763493762384790349902152026252
absolute error = 3e-32
relative error = 3.4232922180840539279870514691557e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.663
y[1] (analytic) = 0.87734099014003455292715468632255
y[1] (numeric) = 0.87734099014003455292715468632258
absolute error = 3e-32
relative error = 3.4194230449909363320935048138946e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.664
y[1] (analytic) = 0.87833242067769063203791966536231
y[1] (numeric) = 0.87833242067769063203791966536233
absolute error = 2e-32
relative error = 2.2770422142187007314031567186573e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.665
y[1] (analytic) = 0.87932366588572577693882320603399
y[1] (numeric) = 0.87932366588572577693882320603401
absolute error = 2e-32
relative error = 2.2744753468967977294704497711100e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.666
y[1] (analytic) = 0.88031472379915981048280908577477
y[1] (numeric) = 0.8803147237991598104828090857748
absolute error = 3e-32
relative error = 3.4078721153872665220861725714007e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.667
y[1] (analytic) = 0.88130559245376173367754040817417
y[1] (numeric) = 0.88130559245376173367754040817419
absolute error = 2e-32
relative error = 2.2693603865959029301599050254096e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.668
y[1] (analytic) = 0.88229626988605758260677659800544
y[1] (numeric) = 0.88229626988605758260677659800546
absolute error = 2e-32
relative error = 2.2668122582659066080868836218700e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.669
y[1] (analytic) = 0.88328675413333828232361110125178
y[1] (numeric) = 0.8832867541333382823236111012518
absolute error = 2e-32
relative error = 2.2642703410200647954153373549417e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.67
y[1] (analytic) = 0.88427704323366749768415422764818
y[1] (numeric) = 0.8842770432336674976841542276482
absolute error = 2e-32
relative error = 2.2617346173392699187608613492015e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.671
y[1] (analytic) = 0.88526713522588948109025781147545
y[1] (numeric) = 0.88526713522588948109025781147547
absolute error = 2e-32
relative error = 2.2592050697665053827102306273287e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.672
y[1] (analytic) = 0.8862570281496369171098907301714
y[1] (numeric) = 0.88625702814963691710989073017142
absolute error = 2e-32
relative error = 2.2566816809065880946342938279647e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.673
y[1] (analytic) = 0.8872467200453387639437868097166
y[1] (numeric) = 0.88724672004533876394378680971662
absolute error = 2e-32
relative error = 2.2541644334259122094724933207713e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.674
y[1] (analytic) = 0.88823620895422809170699926065838
y[1] (numeric) = 0.8882362089542280917069992606584
absolute error = 2e-32
relative error = 2.2516533100521940879527245072917e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=453.9MB, alloc=4.4MB, time=19.60
x[1] = 1.675
y[1] (analytic) = 0.88922549291834991749400852900638
y[1] (numeric) = 0.8892254929183499174940085290064
absolute error = 2e-32
relative error = 2.2491482935742184617490997461047e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.676
y[1] (analytic) = 0.89021456998056903719604331201493
y[1] (numeric) = 0.89021456998056903719604331201495
absolute error = 2e-32
relative error = 2.2466493668415857991187806527500e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.677
y[1] (analytic) = 0.89120343818457785403928748001078
y[1] (numeric) = 0.89120343818457785403928748001079
absolute error = 1e-32
relative error = 1.1220782563822304322986941574216e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.678
y[1] (analytic) = 0.89219209557490420381265876187629
y[1] (numeric) = 0.89219209557490420381265876187631
absolute error = 2e-32
relative error = 2.2416697143133224663705960324831e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.679
y[1] (analytic) = 0.89318054019691917675385829350732
y[1] (numeric) = 0.89318054019691917675385829350734
absolute error = 2e-32
relative error = 2.2391889545187143849773553313611e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.68
y[1] (analytic) = 0.89416877009684493606240349547638
y[1] (numeric) = 0.8941687700968449360624034954764
absolute error = 2e-32
relative error = 2.2367142164709974770378049749944e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.681
y[1] (analytic) = 0.89515678332176253300837023819463
y[1] (numeric) = 0.89515678332176253300837023819465
absolute error = 2e-32
relative error = 2.2342454833201029477362662835734e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.682
y[1] (analytic) = 0.8961445779196197186055838700239
y[1] (numeric) = 0.89614457791961971860558387002392
absolute error = 2e-32
relative error = 2.2317827382752867858268379968688e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.683
y[1] (analytic) = 0.89713215193923875181801242599038
y[1] (numeric) = 0.89713215193923875181801242599039
absolute error = 1e-32
relative error = 1.1146629823024426774829859653942e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.684
y[1] (analytic) = 0.89811950343032420426812920193792
y[1] (numeric) = 0.89811950343032420426812920193793
absolute error = 1e-32
relative error = 1.1134375728180360676065192457540e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.685
y[1] (analytic) = 0.89910663044347076141602587107714
y[1] (numeric) = 0.89910663044347076141602587107715
absolute error = 1e-32
relative error = 1.1122151323773078042881402171716e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.686
y[1] (analytic) = 0.90009353103017102017807143687918
y[1] (numeric) = 0.90009353103017102017807143687919
absolute error = 1e-32
relative error = 1.1109956527023191412588528901442e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.687
y[1] (analytic) = 0.90108020324282328295392655807536
y[1] (numeric) = 0.90108020324282328295392655807536
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=457.7MB, alloc=4.4MB, time=19.78
x[1] = 1.688
y[1] (analytic) = 0.90206664513473934803073714809724
y[1] (numeric) = 0.90206664513473934803073714809724
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.689
y[1] (analytic) = 0.90305285476015229633334564257019
y[1] (numeric) = 0.90305285476015229633334564257019
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.69
y[1] (analytic) = 0.90403883017422427448937294439741
y[1] (numeric) = 0.90403883017422427448937294439741
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.691
y[1] (analytic) = 0.90502456943305427417803879648422
y[1] (numeric) = 0.90502456943305427417803879648423
absolute error = 1e-32
relative error = 1.1049423781129415730124161810584e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.692
y[1] (analytic) = 0.90601007059368590773160319719364
y[1] (numeric) = 0.90601007059368590773160319719365
absolute error = 1e-32
relative error = 1.1037404908145500246047360465802e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.693
y[1] (analytic) = 0.90699533171411517995832646313485
y[1] (numeric) = 0.90699533171411517995832646313485
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.694
y[1] (analytic) = 0.90798035085329825615586065780694
y[1] (numeric) = 0.90798035085329825615586065780694
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.695
y[1] (analytic) = 0.90896512607115922628400034288948
y[1] (numeric) = 0.90896512607115922628400034288949
absolute error = 1e-32
relative error = 1.1001522185150522698225524703365e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.696
y[1] (analytic) = 0.90994965542859786526573597152912
y[1] (numeric) = 0.90994965542859786526573597152913
absolute error = 1e-32
relative error = 1.0989618975447463373168038294843e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.697
y[1] (analytic) = 0.91093393698749738938556872975569
y[1] (numeric) = 0.9109339369874973893855687297557
absolute error = 1e-32
relative error = 1.0977744481746375494494280256525e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.698
y[1] (analytic) = 0.91191796881073220875406124311044
y[1] (numeric) = 0.91191796881073220875406124311046
absolute error = 2e-32
relative error = 2.1931797249354325228170877576042e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.699
y[1] (analytic) = 0.91290174896217567580761430062006
y[1] (numeric) = 0.91290174896217567580761430062008
absolute error = 2e-32
relative error = 2.1908162650292678370741281332706e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.7
y[1] (analytic) = 0.91388527550670782981247560734094
y[1] (numeric) = 0.91388527550670782981247560734095
absolute error = 1e-32
relative error = 1.0942292504335902241071381898026e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=461.5MB, alloc=4.4MB, time=19.95
x[1] = 1.701
y[1] (analytic) = 0.91486854651022313734200255976474
y[1] (numeric) = 0.91486854651022313734200255976475
absolute error = 1e-32
relative error = 1.0930532083702208325168545845152e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.702
y[1] (analytic) = 0.91585156003963822869621714535476
y[1] (numeric) = 0.91585156003963822869621714535477
absolute error = 1e-32
relative error = 1.0918799984974855651397606770669e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.703
y[1] (analytic) = 0.9168343141628996302327072983087
y[1] (numeric) = 0.91683431416289963023270729830871
absolute error = 1e-32
relative error = 1.0907096130155571460739486124605e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.704
y[1] (analytic) = 0.91781680694899149257794539825222
y[1] (numeric) = 0.91781680694899149257794539825223
absolute error = 1e-32
relative error = 1.0895420441517104550535356075044e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.705
y[1] (analytic) = 0.91879903646794331468811107689353
y[1] (numeric) = 0.91879903646794331468811107689354
absolute error = 1e-32
relative error = 1.0883772841602122948013477092472e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.706
y[1] (analytic) = 0.9197810007908376637285220996466
y[1] (numeric) = 0.91978100079083766372852209964661
absolute error = 1e-32
relative error = 1.0872153253222116701174921087099e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.707
y[1] (analytic) = 0.92076269798981789074079381479254
y[1] (numeric) = 0.92076269798981789074079381479256
absolute error = 2e-32
relative error = 2.1721123198912611520285551766331e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.708
y[1] (analytic) = 0.92174412613809584206686451182906
y[1] (numeric) = 0.92174412613809584206686451182907
absolute error = 1e-32
relative error = 1.0848997803650552922236157845027e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.709
y[1] (analytic) = 0.92272528330995956649904100318818
y[1] (numeric) = 0.9227252833099595664990410031882
absolute error = 2e-32
relative error = 2.1674923578832563628372168690510e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.71
y[1] (analytic) = 0.92370616758078101812523583941655
y[1] (numeric) = 0.92370616758078101812523583941657
absolute error = 2e-32
relative error = 2.1651906961258799770129967059951e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.711
y[1] (analytic) = 0.92468677702702375483858478713938
y[1] (numeric) = 0.9246867770270237548385847871394
absolute error = 2e-32
relative error = 2.1628945602858452767310704964448e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.712
y[1] (analytic) = 0.92566710972625063248065054160326
y[1] (numeric) = 0.92566710972625063248065054160329
absolute error = 3e-32
relative error = 3.2409059028652275882407470045681e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.713
y[1] (analytic) = 0.92664716375713149458743611124162
y[1] (numeric) = 0.92664716375713149458743611124165
absolute error = 3e-32
relative error = 3.2374782088970829612344001489752e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=465.4MB, alloc=4.4MB, time=20.13
x[1] = 1.714
y[1] (analytic) = 0.92762693719945085770744890046226
y[1] (numeric) = 0.92762693719945085770744890046228
absolute error = 2e-32
relative error = 2.1560391573341904158383127623106e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.715
y[1] (analytic) = 0.92860642813411559226107422864784
y[1] (numeric) = 0.92860642813411559226107422864787
absolute error = 3e-32
relative error = 3.2306474617325390755134901802763e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.716
y[1] (analytic) = 0.9295856346431625989105348581164
y[1] (numeric) = 0.92958563464316259891053485811643
absolute error = 3e-32
relative error = 3.2272443637229844794573813960738e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.717
y[1] (analytic) = 0.93056455480976648040973106143876
y[1] (numeric) = 0.93056455480976648040973106143879
absolute error = 3e-32
relative error = 3.2238494196818878640129717426982e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.718
y[1] (analytic) = 0.9315431867182472089032738389819
y[1] (numeric) = 0.93154318671824720890327383898193
absolute error = 3e-32
relative error = 3.2204626073953287667126420678761e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.719
y[1] (analytic) = 0.93252152845407778864404210076838
y[1] (numeric) = 0.93252152845407778864404210076841
absolute error = 3e-32
relative error = 3.2170839047258903117352240950826e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.72
y[1] (analytic) = 0.93349957810389191409861295264008
y[1] (numeric) = 0.9334995781038919140986129526401
absolute error = 2e-32
relative error = 2.1424755264082338092412241096698e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.721
y[1] (analytic) = 0.93447733375549162340993267521584
y[1] (numeric) = 0.93447733375549162340993267521586
absolute error = 2e-32
relative error = 2.1402338267129174676083935030660e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.722
y[1] (analytic) = 0.93545479349785494718661455516386
y[1] (numeric) = 0.93545479349785494718661455516389
absolute error = 3e-32
relative error = 3.2069962341872153507700848755069e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.723
y[1] (analytic) = 0.93643195542114355258826842179576
y[1] (numeric) = 0.93643195542114355258826842179578
absolute error = 2e-32
relative error = 2.1357665000875965500922032177132e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.724
y[1] (analytic) = 0.93740881761671038267628555785629
y[1] (numeric) = 0.93740881761671038267628555785631
absolute error = 2e-32
relative error = 2.1335408440949443401519889606054e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.725
y[1] (analytic) = 0.93838537817710729099952159155497
y[1] (numeric) = 0.938385378177107290999521591555
absolute error = 3e-32
relative error = 3.1969807605354560396016476867684e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.726
y[1] (analytic) = 0.93936163519609267138433903728743
y[1] (numeric) = 0.93936163519609267138433903728746
absolute error = 3e-32
relative error = 3.1936582117000627024534632301632e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=469.2MB, alloc=4.4MB, time=20.31
x[1] = 1.727
y[1] (analytic) = 0.94033758676863908289849033504928
y[1] (numeric) = 0.94033758676863908289849033504931
absolute error = 3e-32
relative error = 3.1903435980998607266406271442690e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.728
y[1] (analytic) = 0.94131323099094086995834154317718
y[1] (numeric) = 0.9413132309909408699583415431772
absolute error = 2e-32
relative error = 2.1246912655148346198829481481030e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.729
y[1] (analytic) = 0.9422885659604217775489562656822
y[1] (numeric) = 0.94228856596042177754895626568223
absolute error = 3e-32
relative error = 3.1837380908281197316201506409424e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.73
y[1] (analytic) = 0.94326358977574256152657894399373
y[1] (numeric) = 0.94326358977574256152657894399376
absolute error = 3e-32
relative error = 3.1804471544515345196960078539533e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.731
y[1] (analytic) = 0.94423830053680859397307631332743
y[1] (numeric) = 0.94423830053680859397307631332746
absolute error = 3e-32
relative error = 3.1771640678994603628015418556494e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.732
y[1] (analytic) = 0.94521269634477746357191561605226
y[1] (numeric) = 0.94521269634477746357191561605229
absolute error = 3e-32
relative error = 3.1738888100014630637466701616753e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.733
y[1] (analytic) = 0.9461867753020665709752780782773
y[1] (numeric) = 0.94618677530206657097527807827733
absolute error = 3e-32
relative error = 3.1706213596594195453922987489851e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.734
y[1] (analytic) = 0.94716053551236071913192619133174
y[1] (numeric) = 0.94716053551236071913192619133178
absolute error = 4e-32
relative error = 4.2231489277963047503378740955491e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.735
y[1] (analytic) = 0.94813397508061969854546349678932
y[1] (numeric) = 0.94813397508061969854546349678935
absolute error = 3e-32
relative error = 3.1641097976105227343550178561043e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.736
y[1] (analytic) = 0.94910709211308586743264585211166
y[1] (numeric) = 0.9491070921130858674326458521117
absolute error = 4e-32
relative error = 4.2144875254218425146944385616689e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.737
y[1] (analytic) = 0.95007988471729172675142355377256
y[1] (numeric) = 0.9500798847172917267514235537726
absolute error = 4e-32
relative error = 4.2101722858707302670843579852059e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.738
y[1] (analytic) = 0.95105235100206749006841421579444
y[1] (numeric) = 0.95105235100206749006841421579448
absolute error = 4e-32
relative error = 4.2058673171728528865102160755248e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.739
y[1] (analytic) = 0.95202448907754864823552694389889
y[1] (numeric) = 0.95202448907754864823552694389893
absolute error = 4e-32
relative error = 4.2015725917678297506955887989043e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=473.0MB, alloc=4.4MB, time=20.49
x[1] = 1.74
y[1] (analytic) = 0.95299629705518352884547910886068
y[1] (numeric) = 0.95299629705518352884547910886073
absolute error = 5e-32
relative error = 5.2466101027362895829328388806774e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.741
y[1] (analytic) = 0.95396777304774085043596790707751
y[1] (numeric) = 0.95396777304774085043596790707755
absolute error = 4e-32
relative error = 4.1930137610632072758260002009187e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.742
y[1] (analytic) = 0.95493891516931727141227990174138
y[1] (numeric) = 0.95493891516931727141227990174142
absolute error = 4e-32
relative error = 4.1887496011101111602628112960217e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.743
y[1] (analytic) = 0.95590972153534493365814286423886
y[1] (numeric) = 0.95590972153534493365814286423891
absolute error = 5e-32
relative error = 5.2306194689276670379377046095604e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.744
y[1] (analytic) = 0.95688019026259900080464548243091
y[1] (numeric) = 0.95688019026259900080464548243096
absolute error = 5e-32
relative error = 5.2253145700799152451960141148199e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.745
y[1] (analytic) = 0.95785031946920519112707187018438
y[1] (numeric) = 0.95785031946920519112707187018442
absolute error = 4e-32
relative error = 4.1760178168720647073089145805562e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.746
y[1] (analytic) = 0.95882010727464730503951930086115
y[1] (numeric) = 0.95882010727464730503951930086119
absolute error = 4e-32
relative error = 4.1717940306546241549571026117675e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.747
y[1] (analytic) = 0.95978955179977474715718919633061
y[1] (numeric) = 0.95978955179977474715718919633065
absolute error = 4e-32
relative error = 4.1675802705908751269900965106729e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.748
y[1] (analytic) = 0.96075865116681004289626313237084
y[1] (numeric) = 0.96075865116681004289626313237087
absolute error = 3e-32
relative error = 3.1225323824631689310038261348222e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.749
y[1] (analytic) = 0.96172740349935634958129747097666
y[1] (numeric) = 0.96172740349935634958129747097669
absolute error = 3e-32
relative error = 3.1193870415713986616950992122345e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.75
y[1] (analytic) = 0.96269580692240496203009220001091
y[1] (numeric) = 0.96269580692240496203009220001094
absolute error = 3e-32
relative error = 3.1162491603558064234110683105198e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.751
y[1] (analytic) = 0.9636638595623428125860116507309
y[1] (numeric) = 0.96366385956234281258601165073094
absolute error = 4e-32
relative error = 4.1508249586288712506467725595427e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.752
y[1] (analytic) = 0.96463155954695996556775697390732
y[1] (numeric) = 0.96463155954695996556775697390735
absolute error = 3e-32
relative error = 3.1099956976412347092847684187111e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=476.8MB, alloc=4.4MB, time=20.66
x[1] = 1.753
y[1] (analytic) = 0.96559890500545710610661258543816
y[1] (numeric) = 0.9655989050054571061066125854382
absolute error = 4e-32
relative error = 4.1425067688714848957030532773049e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.754
y[1] (analytic) = 0.96656589406845302334121124245726
y[1] (numeric) = 0.96656589406845302334121124245729
absolute error = 3e-32
relative error = 3.1037718363643580352107442748707e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.755
y[1] (analytic) = 0.96753252486799208793988498085434
y[1] (numeric) = 0.96753252486799208793988498085438
absolute error = 4e-32
relative error = 4.1342279429270357590576940561705e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.756
y[1] (analytic) = 0.96849879553755172392069183477328
y[1] (numeric) = 0.96849879553755172392069183477331
absolute error = 3e-32
relative error = 3.0975774196341585722859363929071e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.757
y[1] (analytic) = 0.96946470421204987473923106794372
y[1] (numeric) = 0.96946470421204987473923106794376
absolute error = 4e-32
relative error = 4.1259882723126810232799971885787e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.758
y[1] (analytic) = 0.9704302490278524636143825755403
y[1] (numeric) = 0.97043024902785246361438257554033
absolute error = 3e-32
relative error = 3.0914122916153003714033338942138e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.759
y[1] (analytic) = 0.97139542812278084806212916355856
y[1] (numeric) = 0.9713954281227808480621291635586
absolute error = 4e-32
relative error = 4.1177875499475941042598332510672e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.76
y[1] (analytic) = 0.97236023963611926860764358035824
y[1] (numeric) = 0.97236023963611926860764358035828
absolute error = 4e-32
relative error = 4.1137017300264116046662012694802e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.761
y[1] (analytic) = 0.97332468170862229164584546195704
y[1] (numeric) = 0.97332468170862229164584546195708
absolute error = 4e-32
relative error = 4.1096255701419203102275675364368e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.762
y[1] (analytic) = 0.97428875248252224642065675877116
y[1] (numeric) = 0.9742887524825222464206567587712
absolute error = 4e-32
relative error = 4.1055590447984320226363598647300e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.763
y[1] (analytic) = 0.97525245010153665609320773669675
y[1] (numeric) = 0.97525245010153665609320773669679
absolute error = 4e-32
relative error = 4.1015021285858314828168039278372e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.764
y[1] (analytic) = 0.97621577271087566286926928961642
y[1] (numeric) = 0.97621577271087566286926928961646
absolute error = 4e-32
relative error = 4.0974547961792396708882678330570e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.765
y[1] (analytic) = 0.97717871845724944715621106350166
y[1] (numeric) = 0.9771787184572494471562110635017
absolute error = 4e-32
relative error = 4.0934170223386786137065825156014e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=480.6MB, alloc=4.4MB, time=20.84
x[1] = 1.766
y[1] (analytic) = 0.97814128548887564071980877417094
y[1] (numeric) = 0.97814128548887564071980877417098
absolute error = 4e-32
relative error = 4.0893887819087376923181066964797e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.767
y[1] (analytic) = 0.97910347195548673381124810135844
y[1] (numeric) = 0.97910347195548673381124810135847
absolute error = 3e-32
relative error = 3.0640275373636810812783385675478e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.768
y[1] (analytic) = 0.98006527600833747623469666095386
y[1] (numeric) = 0.9800652760083374762346966609539
absolute error = 4e-32
relative error = 4.0813608010799188352386577671872e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.769
y[1] (analytic) = 0.9810266958002122723258397949938
y[1] (numeric) = 0.98102669580021227232583979499383
absolute error = 3e-32
relative error = 3.0580207580925555347371754163714e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.77
y[1] (analytic) = 0.98198772948543256981180027512112
y[1] (numeric) = 0.98198772948543256981180027512116
absolute error = 4e-32
relative error = 4.0733706541282586796668062192671e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.771
y[1] (analytic) = 0.98294837521986424252288648968573
y[1] (numeric) = 0.98294837521986424252288648968576
absolute error = 3e-32
relative error = 3.0520422797677090986706692799651e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.772
y[1] (analytic) = 0.9839086311609249669266382773372
y[1] (numeric) = 0.98390863116092496692663827733723
absolute error = 3e-32
relative error = 3.0490636071159025536260967865308e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.773
y[1] (analytic) = 0.9848684954675915924546642807617
y[1] (numeric) = 0.98486849546759159245466428076173
absolute error = 3e-32
relative error = 3.0460919542112807785236412795555e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.774
y[1] (analytic) = 0.98582796630040750559278952304056
y[1] (numeric) = 0.9858279663004075055927895230406
absolute error = 4e-32
relative error = 4.0575030702477511413302592777372e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.775
y[1] (analytic) = 0.98678704182148998770505685585924
y[1] (numeric) = 0.98678704182148998770505685585927
absolute error = 3e-32
relative error = 3.0401696342326926489835187420349e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.776
y[1] (analytic) = 0.98774572019453756656215099337106
y[1] (numeric) = 0.98774572019453756656215099337109
absolute error = 3e-32
relative error = 3.0372189306060944714834014546031e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.777
y[1] (analytic) = 0.9887039995848373615448390278219
y[1] (numeric) = 0.98870399958483736154483902782194
absolute error = 4e-32
relative error = 4.0457002314945864308285877632234e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.778
y[1] (analytic) = 0.98966187815927242249304662296716
y[1] (numeric) = 0.9896618781592724224930466229672
absolute error = 4e-32
relative error = 4.0417844602035435761511982002194e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=484.4MB, alloc=4.4MB, time=21.02
x[1] = 1.779
y[1] (analytic) = 0.9906193540863290621712144987614
y[1] (numeric) = 0.99061935408632906217121449876144
absolute error = 4e-32
relative error = 4.0378779028492651350774563731201e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.78
y[1] (analytic) = 0.99157642553610418232060535567148
y[1] (numeric) = 0.99157642553610418232060535567151
absolute error = 3e-32
relative error = 3.0254854015695508519866510553024e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.781
y[1] (analytic) = 0.99253309068031259326925703915333
y[1] (numeric) = 0.99253309068031259326925703915336
absolute error = 3e-32
relative error = 3.0225692505060038601356312511616e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.782
y[1] (analytic) = 0.99348934769229432707030351423944
y[1] (numeric) = 0.99348934769229432707030351423946
absolute error = 2e-32
relative error = 2.0131066373742784532929796779399e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.783
y[1] (analytic) = 0.99444519474702194413941110670372
y[1] (numeric) = 0.99444519474702194413941110670375
absolute error = 3e-32
relative error = 3.0167575004102397492670595612608e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.784
y[1] (analytic) = 0.99540063002110783336210347080132
y[1] (numeric) = 0.99540063002110783336210347080135
absolute error = 3e-32
relative error = 3.0138618657860241719563612752862e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.785
y[1] (analytic) = 0.99635565169281150564177486401658
y[1] (numeric) = 0.9963556516928115056417748640166
absolute error = 2e-32
relative error = 2.0073153563208011811532646499119e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.786
y[1] (analytic) = 0.99731025794204688085921754649108
y[1] (numeric) = 0.99731025794204688085921754649111
absolute error = 3e-32
relative error = 3.0080909888468511626027571331664e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.787
y[1] (analytic) = 0.99826444695038956821451547673808
y[1] (numeric) = 0.99826444695038956821451547673812
absolute error = 4e-32
relative error = 4.0069542817232944408977720846995e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.788
y[1] (analytic) = 0.99921821690108413992218294577552
y[1] (numeric) = 0.99921821690108413992218294577556
absolute error = 4e-32
relative error = 4.0031295790476696296205035800805e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.789
y[1] (analytic) = 1.0001715659790513982304533788214
y[1] (numeric) = 1.0001715659790513982304533788215
absolute error = 1e-31
relative error = 9.9982846345078461100611631040874e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.79
y[1] (analytic) = 1.0011244923708956357356502370859
y[1] (numeric) = 1.001124492370895635735650237086
absolute error = 1e-31
relative error = 9.9887677069189209798361157044572e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.791
y[1] (analytic) = 1.0020769942649118889625987718566
y[1] (numeric) = 1.0020769942649118889625987718567
absolute error = 1e-31
relative error = 9.9792731069887948258334492120221e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=488.3MB, alloc=4.4MB, time=21.19
x[1] = 1.792
y[1] (analytic) = 1.0030290698510931851820643189015
y[1] (numeric) = 1.0030290698510931851820643189016
absolute error = 1e-31
relative error = 9.9698007770448480402259213142972e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.793
y[1] (analytic) = 1.0039807173211377824362298730994
y[1] (numeric) = 1.0039807173211377824362298730995
absolute error = 1e-31
relative error = 9.9603506596047054127706970717791e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.794
y[1] (analytic) = 1.0049319348684564027432528510399
y[1] (numeric) = 1.00493193486845640274325285104
absolute error = 1e-31
relative error = 9.9509226973754995333455958889013e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.795
y[1] (analytic) = 1.005882720688179458451968233011
y[1] (numeric) = 1.0058827206881794584519682330111
absolute error = 1e-31
relative error = 9.9415168332531374328616856128905e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.796
y[1] (analytic) = 1.0068330729771642717178326751966
y[1] (numeric) = 1.0068330729771642717178326751967
absolute error = 1e-31
relative error = 9.9321330103215704463514856909748e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.797
y[1] (analytic) = 1.0077829899340022870712316979333
y[1] (numeric) = 1.0077829899340022870712316979333
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.798
y[1] (analytic) = 1.0087324697590262770492996864142
y[1] (numeric) = 1.0087324697590262770492996864142
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.799
y[1] (analytic) = 1.0096815106543175408624301861688
y[1] (numeric) = 1.0096815106543175408624301861687
absolute error = 1e-31
relative error = 9.9041132223165748493807115801972e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.8
y[1] (analytic) = 1.0106301108237130960666818368732
y[1] (numeric) = 1.0106301108237130960666818368731
absolute error = 1e-31
relative error = 9.8948169987232120513097223880972e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.801
y[1] (analytic) = 1.0115782684728128632133132644589
y[1] (numeric) = 1.0115782684728128632133132644589
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.802
y[1] (analytic) = 1.012525981808986843446708342958
y[1] (numeric) = 1.0125259818089868434467083429579
absolute error = 1e-31
relative error = 9.8762897739512044291989485781698e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.803
y[1] (analytic) = 1.0134732490413822890219814439539
y[1] (numeric) = 1.0134732490413822890219814439538
absolute error = 1e-31
relative error = 9.8670586613497072448916518839188e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.804
y[1] (analytic) = 1.0144200683809308667135806127795
y[1] (numeric) = 1.0144200683809308667135806127794
absolute error = 1e-31
relative error = 9.8578491412936450136111516809389e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=492.1MB, alloc=4.4MB, time=21.37
x[1] = 1.805
y[1] (analytic) = 1.0153664380403558140862350465981
y[1] (numeric) = 1.015366438040355814086235046598
absolute error = 1e-31
relative error = 9.8486611585270354004828340519487e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.806
y[1] (analytic) = 1.0163123562341790885996218001214
y[1] (numeric) = 1.0163123562341790885996218001213
absolute error = 1e-31
relative error = 9.8394946579748127245189282438495e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.807
y[1] (analytic) = 1.0172578211787285095181553098284
y[1] (numeric) = 1.0172578211787285095181553098283
absolute error = 1e-31
relative error = 9.8303495847421322216372733336226e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.808
y[1] (analytic) = 1.0182028310921448925973321070507
y[1] (numeric) = 1.0182028310921448925973321070506
absolute error = 1e-31
relative error = 9.8212258841136773422840808565714e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.809
y[1] (analytic) = 1.0191473841943891775180919840575
y[1] (numeric) = 1.0191473841943891775180919840573
absolute error = 2e-31
relative error = 1.9624247003105940137167005461745e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.81
y[1] (analytic) = 1.0200914787072495480406858851987
y[1] (numeric) = 1.0200914787072495480406858851985
absolute error = 2e-31
relative error = 1.9606084765403368472039221071222e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.811
y[1] (analytic) = 1.0210351128543485448495699171295
y[1] (numeric) = 1.0210351128543485448495699171293
absolute error = 2e-31
relative error = 1.9587964946757923689477374818114e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.812
y[1] (analytic) = 1.0219782848611501710608741080224
y[1] (numeric) = 1.0219782848611501710608741080221
absolute error = 3e-31
relative error = 2.9354831158742197036924592532536e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.813
y[1] (analytic) = 1.0229209929549669903640238953665
y[1] (numeric) = 1.0229209929549669903640238953662
absolute error = 3e-31
relative error = 2.9327778202437104659550300278967e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.814
y[1] (analytic) = 1.023863235364967217769121785333
y[1] (numeric) = 1.0238632353649672177691217853327
absolute error = 3e-31
relative error = 2.9300788390264030510640957052183e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.815
y[1] (analytic) = 1.024805010322181802931726203633
y[1] (numeric) = 1.0248050103221818029317262036326
absolute error = 4e-31
relative error = 3.9031815415719580974399335808078e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.816
y[1] (analytic) = 1.0257463160595115060266942481977
y[1] (numeric) = 1.0257463160595115060266942481973
absolute error = 4e-31
relative error = 3.8995996742804084811184118777928e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.817
y[1] (analytic) = 1.0266871508117339661427848577447
y[1] (numeric) = 1.0266871508117339661427848577443
absolute error = 4e-31
relative error = 3.8960261622417921867702513233363e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.818
y[1] (analytic) = 1.0276275128155107621697488272414
y[1] (numeric) = 1.027627512815510762169748827241
absolute error = 4e-31
relative error = 3.8924609842731187757450952752541e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=495.9MB, alloc=4.4MB, time=21.54
TOP MAIN SOLVE Loop
x[1] = 1.819
y[1] (analytic) = 1.0285674003093944661496621313204
y[1] (numeric) = 1.02856740030939446614966213132
absolute error = 4e-31
relative error = 3.8889041192602396168829151786390e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.82
y[1] (analytic) = 1.0295068115338356890642891597182
y[1] (numeric) = 1.0295068115338356890642891597179
absolute error = 3e-31
relative error = 2.9140166596181886829381122812795e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.821
y[1] (analytic) = 1.0304457447311901190302927246786
y[1] (numeric) = 1.0304457447311901190302927246783
absolute error = 3e-31
relative error = 2.9113614329909263881351534195960e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.822
y[1] (analytic) = 1.0313841981457255518741380688644
y[1] (numeric) = 1.0313841981457255518741380688641
absolute error = 3e-31
relative error = 2.9087123938814954397415286107284e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.823
y[1] (analytic) = 1.0323221700236289140585685835365
y[1] (numeric) = 1.0323221700236289140585685835362
absolute error = 3e-31
relative error = 2.9060695266588459811013775332737e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.824
y[1] (analytic) = 1.0332596586130132779325615404609
y[1] (numeric) = 1.0332596586130132779325615404606
absolute error = 3e-31
relative error = 2.9034328157425818441899073310949e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.825
y[1] (analytic) = 1.0341966621639248692767028470738
y[1] (numeric) = 1.0341966621639248692767028470735
absolute error = 3e-31
relative error = 2.9008022456027675431541861467492e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.826
y[1] (analytic) = 1.0351331789283500671159506527506
y[1] (numeric) = 1.0351331789283500671159506527503
absolute error = 3e-31
relative error = 2.8981778007597361004988874314819e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.827
y[1] (analytic) = 1.0360692071602223957717885644557
y[1] (numeric) = 1.0360692071602223957717885644554
absolute error = 3e-31
relative error = 2.8955594657838977018187006829807e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.828
y[1] (analytic) = 1.0370047451154295091258002724844
y[1] (numeric) = 1.0370047451154295091258002724841
absolute error = 3e-31
relative error = 2.8929472252955491750014015891693e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.829
y[1] (analytic) = 1.0379397910518201670667285413101
y[1] (numeric) = 1.0379397910518201670667285413098
absolute error = 3e-31
relative error = 2.8903410639646842898477182814844e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.83
y[1] (analytic) = 1.0388743432292112040931127866026
y[1] (numeric) = 1.0388743432292112040931127866023
absolute error = 3e-31
relative error = 2.8877409665108048740761413985807e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.831
y[1] (analytic) = 1.0398083999093944900436308371595
y[1] (numeric) = 1.0398083999093944900436308371592
absolute error = 3e-31
relative error = 2.8851469177027327417027047993728e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=499.7MB, alloc=4.4MB, time=21.72
x[1] = 1.832
y[1] (analytic) = 1.0407419593561438829273019696632
y[1] (numeric) = 1.040741959356143882927301969663
absolute error = 2e-31
relative error = 1.9217059349056149532050079364744e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.833
y[1] (analytic) = 1.0416750198352221738257399047237
y[1] (numeric) = 1.0416750198352221738257399047235
absolute error = 2e-31
relative error = 1.9199846035631831598142670971029e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.834
y[1] (analytic) = 1.042607579614388023839676164453
y[1] (numeric) = 1.0426075796143880238396761644527
absolute error = 3e-31
relative error = 2.8774009115774510786876287030702e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.835
y[1] (analytic) = 1.0435396369634028930520060147285
y[1] (numeric) = 1.0435396369634028930520060147282
absolute error = 3e-31
relative error = 2.8748309060206885980748209820007e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.836
y[1] (analytic) = 1.0444711901540379614796411491999
y[1] (numeric) = 1.0444711901540379614796411491996
absolute error = 3e-31
relative error = 2.8722668736871161242386539126541e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.837
y[1] (analytic) = 1.0454022374600810419864853168562
y[1] (numeric) = 1.0454022374600810419864853168559
absolute error = 3e-31
relative error = 2.8697087996375708781508570400865e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.838
y[1] (analytic) = 1.0463327771573434851298812504679
y[1] (numeric) = 1.0463327771573434851298812504677
absolute error = 2e-31
relative error = 1.9114377793206106532900615217117e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.839
y[1] (analytic) = 1.0472628075236670759129095193238
y[1] (numeric) = 1.0472628075236670759129095193236
absolute error = 2e-31
relative error = 1.9097403112492391563134173497504e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.84
y[1] (analytic) = 1.048192326838930922414952306261
y[1] (numeric) = 1.0481923268389309224149523062608
absolute error = 2e-31
relative error = 1.9080467856805131294942931195131e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.841
y[1] (analytic) = 1.0491213333850583362729675959198
y[1] (numeric) = 1.0491213333850583362729675959196
absolute error = 2e-31
relative error = 1.9063571927823349970953542090881e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.842
y[1] (analytic) = 1.0500498254460237049859518582992
y[1] (numeric) = 1.050049825446023704985951858299
absolute error = 2e-31
relative error = 1.9046715227541429766344301242152e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.843
y[1] (analytic) = 1.0509778013078593560151020189261
y[1] (numeric) = 1.0509778013078593560151020189259
absolute error = 2e-31
relative error = 1.9029897658267919934773522603475e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.844
y[1] (analytic) = 1.0519052592586624126522203241424
y[1] (numeric) = 1.0519052592586624126522203241422
absolute error = 2e-31
relative error = 1.9013119122624351035493700173723e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=503.5MB, alloc=4.4MB, time=21.90
x[1] = 1.845
y[1] (analytic) = 1.0528321975886016416289386370312
y[1] (numeric) = 1.052832197588601641628938637031
absolute error = 2e-31
relative error = 1.8996379523544054216871194817849e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.846
y[1] (analytic) = 1.0537586145899242924393717362157
y[1] (numeric) = 1.0537586145899242924393717362156
absolute error = 1e-31
relative error = 9.4898393821354927658322656200923e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.847
y[1] (analytic) = 1.0546845085569629283488423360366
y[1] (numeric) = 1.0546845085569629283488423360365
absolute error = 1e-31
relative error = 9.4815083741792776297734700432304e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.848
y[1] (analytic) = 1.055609877786142249061353802315
y[1] (numeric) = 1.0556098777861422490613538023149
absolute error = 1e-31
relative error = 9.4731966898342311062452719774536e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.849
y[1] (analytic) = 1.0565347205759859050185199029084
y[1] (numeric) = 1.0565347205759859050185199029083
absolute error = 1e-31
relative error = 9.4649042811847664993802841494087e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.85
y[1] (analytic) = 1.0574590352271233033026944064253
y[1] (numeric) = 1.0574590352271233033026944064252
absolute error = 1e-31
relative error = 9.4566311004682831106990819322090e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.851
y[1] (analytic) = 1.0583828200422964051170769256551
y[1] (numeric) = 1.058382820042296405117076925655
absolute error = 1e-31
relative error = 9.4483771000745907935999307266513e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.852
y[1] (analytic) = 1.0593060733263665148156050943528
y[1] (numeric) = 1.0593060733263665148156050943527
absolute error = 1e-31
relative error = 9.4401422325453369511651737089719e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.853
y[1] (analytic) = 1.0602287933863210604554769668624
y[1] (numeric) = 1.0602287933863210604554769668623
absolute error = 1e-31
relative error = 9.4319264505734359654165771732835e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.854
y[1] (analytic) = 1.0611509785312803658451814395297
y[1] (numeric) = 1.0611509785312803658451814395296
absolute error = 1e-31
relative error = 9.4237297070025010462155053950773e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.855
y[1] (analytic) = 1.0620726270725044140609485108126
y[1] (numeric) = 1.0620726270725044140609485108125
absolute error = 1e-31
relative error = 9.4155519548262784880669957576231e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.856
y[1] (analytic) = 1.062993737323399602404565323305
y[1] (numeric) = 1.0629937373233996024045653233049
absolute error = 1e-31
relative error = 9.4073931471880843231496302416141e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.857
y[1] (analytic) = 1.0639143075995254887755381654183
y[1] (numeric) = 1.0639143075995254887755381654182
absolute error = 1e-31
relative error = 9.3992532373802433589555536888212e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=507.3MB, alloc=4.4MB, time=22.09
x[1] = 1.858
y[1] (analytic) = 1.0648343362186015294306149530658
y[1] (numeric) = 1.0648343362186015294306149530657
absolute error = 1e-31
relative error = 9.3911321788435305889870749050129e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.859
y[1] (analytic) = 1.0657538215005138081037171622455
y[1] (numeric) = 1.0657538215005138081037171622453
absolute error = 2e-31
relative error = 1.8766059850333229930036012082543e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.86
y[1] (analytic) = 1.0666727617673217564593647417641
y[1] (numeric) = 1.0666727617673217564593647417639
absolute error = 2e-31
relative error = 1.8749892860171011038978502290131e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.861
y[1] (analytic) = 1.0675911553432648658527122013647
y[1] (numeric) = 1.0675911553432648658527122013646
absolute error = 1e-31
relative error = 9.3668816474829998266691486453497e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.862
y[1] (analytic) = 1.068509000554769390369348844062
y[1] (numeric) = 1.0685090005547693903693488440619
absolute error = 1e-31
relative error = 9.3588355313881347912697071557890e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.863
y[1] (analytic) = 1.0694262957304550411180509924208
y[1] (numeric) = 1.0694262957304550411180509924207
absolute error = 1e-31
relative error = 9.3508080359756397532701516568194e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.864
y[1] (analytic) = 1.0703430392011416717497090466964
y[1] (numeric) = 1.0703430392011416717497090466964
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.865
y[1] (analytic) = 1.0712592292998559551756873080414
y[1] (numeric) = 1.0712592292998559551756873080414
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.866
y[1] (analytic) = 1.0721748643618380514589097022417
y[1] (numeric) = 1.0721748643618380514589097022417
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.867
y[1] (analytic) = 1.0730899427245482668509998485303
y[1] (numeric) = 1.0730899427245482668509998485303
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.868
y[1] (analytic) = 1.0740044627276737039488393337969
y[1] (numeric) = 1.0740044627276737039488393337969
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.869
y[1] (analytic) = 1.0749184227131349029439435748265
y[1] (numeric) = 1.0749184227131349029439435748265
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.87
y[1] (analytic) = 1.0758318210250924739380902799199
y[1] (numeric) = 1.0758318210250924739380902799198
absolute error = 1e-31
relative error = 9.2951331282166658595508709493988e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=511.1MB, alloc=4.4MB, time=22.26
x[1] = 1.871
y[1] (analytic) = 1.0767446560099537202986712562234
y[1] (numeric) = 1.0767446560099537202986712562234
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.872
y[1] (analytic) = 1.0776569260163792530272741501942
y[1] (numeric) = 1.0776569260163792530272741501942
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.873
y[1] (analytic) = 1.0785686293952895961150366556905
y[1] (numeric) = 1.0785686293952895961150366556905
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.874
y[1] (analytic) = 1.07947976449987178285835177708
y[1] (numeric) = 1.0794797644998717828583517770799
absolute error = 1e-31
relative error = 9.2637215896613389160971634949929e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.875
y[1] (analytic) = 1.0803903296855859431085388933376
y[1] (numeric) = 1.0803903296855859431085388933375
absolute error = 1e-31
relative error = 9.2559140203616867594330207276091e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.876
y[1] (analytic) = 1.0813003233101718814291316332341
y[1] (numeric) = 1.0813003233101718814291316332341
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.877
y[1] (analytic) = 1.0822097437336556461344699412329
y[1] (numeric) = 1.0822097437336556461344699412328
absolute error = 1e-31
relative error = 9.2403529518221708383014887143746e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.878
y[1] (analytic) = 1.0831185893183560891833201884856
y[1] (numeric) = 1.0831185893183560891833201884855
absolute error = 1e-31
relative error = 9.2325993650366070609010114389711e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.879
y[1] (analytic) = 1.0840268584288914169012837631943
y[1] (numeric) = 1.0840268584288914169012837631943
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.88
y[1] (analytic) = 1.0849345494321857315057912594385
y[1] (numeric) = 1.0849345494321857315057912594385
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.881
y[1] (analytic) = 1.0858416606974755634075161732121
y[1] (numeric) = 1.0858416606974755634075161732121
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.882
y[1] (analytic) = 1.0867481905963163942620789087272
y[1] (numeric) = 1.0867481905963163942620789087272
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.883
y[1] (analytic) = 1.0876541375025891707459488968638
y[1] (numeric) = 1.0876541375025891707459488968638
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.884
y[1] (analytic) = 1.0885594997925068090304897308434
y[1] (numeric) = 1.0885594997925068090304897308435
absolute error = 1e-31
relative error = 9.1864523729811060548911468943874e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=515.0MB, alloc=4.4MB, time=22.44
TOP MAIN SOLVE Loop
x[1] = 1.885
y[1] (analytic) = 1.0894642758446206899281294316186
y[1] (numeric) = 1.0894642758446206899281294316187
absolute error = 1e-31
relative error = 9.1788232268996392684539264609820e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.886
y[1] (analytic) = 1.0903684640398271446846752669565
y[1] (numeric) = 1.0903684640398271446846752669566
absolute error = 1e-31
relative error = 9.1712116865063118931397565158760e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.887
y[1] (analytic) = 1.091272062761373931391829963606
y[1] (numeric) = 1.0912720627613739313918299636061
absolute error = 1e-31
relative error = 9.1636177093142336478945125049029e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.888
y[1] (analytic) = 1.0921750703948667019940036711186
y[1] (numeric) = 1.0921750703948667019940036711187
absolute error = 1e-31
relative error = 9.1560412529692553659176500529982e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.889
y[1] (analytic) = 1.0930774853282754598635536586973
y[1] (numeric) = 1.0930774853282754598635536586974
absolute error = 1e-31
relative error = 9.1484822752494785619327871758806e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.89
y[1] (analytic) = 1.093979305951941007918621452725
y[1] (numeric) = 1.0939793059519410079186214527251
absolute error = 1e-31
relative error = 9.1409407340647670334952105977128e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.891
y[1] (analytic) = 1.0948805306585813872577749522223
y[1] (numeric) = 1.0948805306585813872577749522224
absolute error = 1e-31
relative error = 9.1334165874562604866394721097267e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.892
y[1] (analytic) = 1.0957811578432983062857009922493
y[1] (numeric) = 1.0957811578432983062857009922494
absolute error = 1e-31
relative error = 9.1259097935958901762211035014382e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.893
y[1] (analytic) = 1.096681185903583560304231861055
y[1] (numeric) = 1.0966811859035835603042318610551
absolute error = 1e-31
relative error = 9.1184203107858965513570465926257e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.894
y[1] (analytic) = 1.0975806132393254415430274154267
y[1] (numeric) = 1.0975806132393254415430274154268
absolute error = 1e-31
relative error = 9.1109480974583488964196701548179e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.895
y[1] (analytic) = 1.0984794382528151396042726800582
y[1] (numeric) = 1.0984794382528151396042726800583
absolute error = 1e-31
relative error = 9.1034931121746669580892298868200e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.896
y[1] (analytic) = 1.0993776593487531322957891606795
y[1] (numeric) = 1.0993776593487531322957891606797
absolute error = 2e-31
relative error = 1.8192110627250289098038645876949e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.897
y[1] (analytic) = 1.1002752749342555668269965470254
y[1] (numeric) = 1.1002752749342555668269965470255
absolute error = 1e-31
relative error = 9.0886346606284751187192965864367e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=518.8MB, alloc=4.4MB, time=22.62
x[1] = 1.898
y[1] (analytic) = 1.101172283418860631342200030302
y[1] (numeric) = 1.1011722834188606313422000303021
absolute error = 1e-31
relative error = 9.0812311121312792823066933689113e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.899
y[1] (analytic) = 1.1020686832145349167657171105004
y[1] (numeric) = 1.1020686832145349167657171105005
absolute error = 1e-31
relative error = 9.0738446272076342978316540841955e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.9
y[1] (analytic) = 1.1029644727356797689333965215297
y[1] (numeric) = 1.1029644727356797689333965215298
absolute error = 1e-31
relative error = 9.0664751650586054829237573395909e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.901
y[1] (analytic) = 1.1038596503991376309851207565654
y[1] (numeric) = 1.1038596503991376309851207565655
absolute error = 1e-31
relative error = 9.0591226850117795615600515794185e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.902
y[1] (analytic) = 1.104754214624198375992922632058
y[1] (numeric) = 1.1047542146241983759929226320581
absolute error = 1e-31
relative error = 9.0517871465207999318010344883079e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.903
y[1] (analytic) = 1.1056481638326056297993853863807
y[1] (numeric) = 1.1056481638326056297993853863808
absolute error = 1e-31
relative error = 9.0444685091649038453890571111802e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.904
y[1] (analytic) = 1.1065414964485630840410349679443
y[1] (numeric) = 1.1065414964485630840410349679444
absolute error = 1e-31
relative error = 9.0371667326484614901510776952743e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.905
y[1] (analytic) = 1.1074342108987407993314724276295
y[1] (numeric) = 1.1074342108987407993314724276295
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.906
y[1] (analytic) = 1.1083263056122814985790336914094
y[1] (numeric) = 1.1083263056122814985790336914095
absolute error = 1e-31
relative error = 9.0226136015743311469346530642224e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.907
y[1] (analytic) = 1.1092177790208068504138034509163
y[1] (numeric) = 1.1092177790208068504138034509164
absolute error = 1e-31
relative error = 9.0153621670469264160288866800758e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.908
y[1] (analytic) = 1.1101086295584237426988494722724
y[1] (numeric) = 1.1101086295584237426988494722726
absolute error = 2e-31
relative error = 1.8016254866837266542718110613074e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.909
y[1] (analytic) = 1.1109988556617305461005832866151
y[1] (numeric) = 1.1109988556617305461005832866153
absolute error = 2e-31
relative error = 1.8001818722025277574449443291953e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.91
y[1] (analytic) = 1.1118884557698233676931929892225
y[1] (numeric) = 1.1118884557698233676931929892226
absolute error = 1e-31
relative error = 8.9937079102745369259756787552600e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=522.6MB, alloc=4.4MB, time=22.79
x[1] = 1.911
y[1] (analytic) = 1.1127774283243022945721337378479
y[1] (numeric) = 1.1127774283243022945721337378481
absolute error = 2e-31
relative error = 1.7973046083543761380695490256261e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.912
y[1] (analytic) = 1.1136657717692776274517015046263
y[1] (numeric) = 1.1136657717692776274517015046264
absolute error = 1e-31
relative error = 8.9793547161937361078140168311222e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.913
y[1] (analytic) = 1.1145534845513761042217556995672
y[1] (numeric) = 1.1145534845513761042217556995673
absolute error = 1e-31
relative error = 8.9722028943502380383084469452606e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.914
y[1] (analytic) = 1.1154405651197471134386964470444
y[1] (numeric) = 1.1154405651197471134386964470445
absolute error = 1e-31
relative error = 8.9650675371721477967234155961170e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.915
y[1] (analytic) = 1.1163270119260688977258425596556
y[1] (numeric) = 1.1163270119260688977258425596556
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.916
y[1] (analytic) = 1.1172128234245547470583966162123
y[1] (numeric) = 1.1172128234245547470583966162123
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.917
y[1] (analytic) = 1.1180979980719591819082240122583
y[1] (numeric) = 1.1180979980719591819082240122583
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.918
y[1] (analytic) = 1.1189825343275841262237134122423
y[1] (numeric) = 1.1189825343275841262237134122424
absolute error = 1e-31
relative error = 8.9366899779263956073944984323660e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.919
y[1] (analytic) = 1.1198664306532850702200266921366
y[1] (numeric) = 1.1198664306532850702200266921366
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.92
y[1] (analytic) = 1.1207496855134772229550872197157
y[1] (numeric) = 1.1207496855134772229550872197157
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.921
y[1] (analytic) = 1.1216322973751416546666961767487
y[1] (numeric) = 1.1216322973751416546666961767488
absolute error = 1e-31
relative error = 8.9155777908697251031667498422562e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.922
y[1] (analytic) = 1.1225142647078314288462075828272
y[1] (numeric) = 1.1225142647078314288462075828273
absolute error = 1e-31
relative error = 8.9085727588529175386235786095638e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.923
y[1] (analytic) = 1.1233955859836777240242337343056
y[1] (numeric) = 1.1233955859836777240242337343057
absolute error = 1e-31
relative error = 8.9015838452344552012004606939048e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=526.4MB, alloc=4.4MB, time=22.97
x[1] = 1.924
y[1] (analytic) = 1.1242762596773959452438939236953
y[1] (numeric) = 1.1242762596773959452438939236955
absolute error = 2e-31
relative error = 1.7789222024254852767220434501704e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.925
y[1] (analytic) = 1.1251562842662918251971605546655
y[1] (numeric) = 1.1251562842662918251971605546657
absolute error = 2e-31
relative error = 1.7775308443521594082064545988798e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.926
y[1] (analytic) = 1.1260356582302675149998981154007
y[1] (numeric) = 1.1260356582302675149998981154009
absolute error = 2e-31
relative error = 1.7761426872957979072374593554339e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.927
y[1] (analytic) = 1.1269143800518276645812319182818
y[1] (numeric) = 1.1269143800518276645812319182819
absolute error = 1e-31
relative error = 8.8737886187414630913691190689516e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.928
y[1] (analytic) = 1.1277924482160854926629250565204
y[1] (numeric) = 1.1277924482160854926629250565206
absolute error = 2e-31
relative error = 1.7733759462244591878872971887188e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.929
y[1] (analytic) = 1.128669861210768846304483668335
y[1] (numeric) = 1.1286698612107688463044836683352
absolute error = 2e-31
relative error = 1.7719973472619538331616639830742e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.93
y[1] (analytic) = 1.1295466175262262499897523363239
y[1] (numeric) = 1.1295466175262262499897523363241
absolute error = 2e-31
relative error = 1.7706219194211904467094070528477e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.931
y[1] (analytic) = 1.1304227156554329442308032837216
y[1] (numeric) = 1.1304227156554329442308032837218
absolute error = 2e-31
relative error = 1.7692496552852580367310201609162e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.932
y[1] (analytic) = 1.1312981540939969136649649600318
y[1] (numeric) = 1.131298154093996913664964960032
absolute error = 2e-31
relative error = 1.7678805474598385005500915648865e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.933
y[1] (analytic) = 1.1321729313401649046208776359604
y[1] (numeric) = 1.1321729313401649046208776359606
absolute error = 2e-31
relative error = 1.7665145885731247300653173164184e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.934
y[1] (analytic) = 1.1330470458948284321295057514502
y[1] (numeric) = 1.1330470458948284321295057514504
absolute error = 2e-31
relative error = 1.7651517712757390475685945430980e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.935
y[1] (analytic) = 1.1339204962615297763560789807759
y[1] (numeric) = 1.1339204962615297763560789807761
absolute error = 2e-31
relative error = 1.7637920882406519703862913216180e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.936
y[1] (analytic) = 1.134793280946467968428976294932
y[1] (numeric) = 1.1347932809464679684289762949323
absolute error = 3e-31
relative error = 2.6436532982446519542130366696065e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=530.2MB, alloc=4.4MB, time=23.15
x[1] = 1.937
y[1] (analytic) = 1.1356653984585047656416097137574
y[1] (numeric) = 1.1356653984585047656416097137576
absolute error = 2e-31
relative error = 1.7610820957605115537804663961329e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.938
y[1] (analytic) = 1.1365368473091706160034069482281
y[1] (numeric) = 1.1365368473091706160034069482284
absolute error = 3e-31
relative error = 2.6395976576586205182492725676671e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.939
y[1] (analytic) = 1.1374076260126706121160347369427
y[1] (numeric) = 1.137407626012670612116034736943
absolute error = 3e-31
relative error = 2.6375768294405477171188916481193e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.94
y[1] (analytic) = 1.1382777330858904343510473798421
y[1] (numeric) = 1.1382777330858904343510473798425
absolute error = 4e-31
relative error = 3.5140808642157406308744915838976e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.941
y[1] (analytic) = 1.1391471670484022833051877664972
y[1] (numeric) = 1.1391471670484022833051877664976
absolute error = 4e-31
relative error = 3.5113988040406023151610306949611e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.942
y[1] (analytic) = 1.1400159264224708015096110856675
y[1] (numeric) = 1.1400159264224708015096110856679
absolute error = 4e-31
relative error = 3.5087229110496365289318986345958e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.943
y[1] (analytic) = 1.1408840097330589843693443871333
y[1] (numeric) = 1.1408840097330589843693443871336
absolute error = 3e-31
relative error = 2.6295398782054382949319012371959e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.944
y[1] (analytic) = 1.1417514155078340803093382458434
y[1] (numeric) = 1.1417514155078340803093382458438
absolute error = 4e-31
relative error = 3.5033895694544502754400096439075e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.945
y[1] (analytic) = 1.1426181422771734801035099520397
y[1] (numeric) = 1.14261814227717348010350995204
absolute error = 3e-31
relative error = 2.6255490692815092964668790550384e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.946
y[1] (analytic) = 1.1434841885741705953632209190361
y[1] (numeric) = 1.1434841885741705953632209190364
absolute error = 3e-31
relative error = 2.6235605441477505418686473620670e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.947
y[1] (analytic) = 1.1443495529346407261616743625832
y[1] (numeric) = 1.1443495529346407261616743625835
absolute error = 3e-31
relative error = 2.6215765910919566220211766253270e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.948
y[1] (analytic) = 1.1452142338971269177707627620489
y[1] (numeric) = 1.1452142338971269177707627620492
absolute error = 3e-31
relative error = 2.6195971995485047718299953656870e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.949
y[1] (analytic) = 1.1460782300029058064869381638352
y[1] (numeric) = 1.1460782300029058064869381638355
absolute error = 3e-31
relative error = 2.6176223589836390976285370698568e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.95
y[1] (analytic) = 1.1469415397959934545227220313447
y[1] (numeric) = 1.146941539795993454522722031345
absolute error = 3e-31
relative error = 2.6156520588953558528412626553419e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=534.0MB, alloc=4.4MB, time=23.33
TOP MAIN SOLVE Loop
x[1] = 1.951
y[1] (analytic) = 1.1478041618231511739405150832361
y[1] (numeric) = 1.1478041618231511739405150832365
absolute error = 4e-31
relative error = 3.4849150517510522285588320707518e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.952
y[1] (analytic) = 1.1486660946338913396054113924964
y[1] (numeric) = 1.1486660946338913396054113924968
absolute error = 4e-31
relative error = 3.4823000510647963425675414317941e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.953
y[1] (analytic) = 1.1495273367804831911337649428216
y[1] (numeric) = 1.149527336780483191133764942822
absolute error = 4e-31
relative error = 3.4796910625917987002170007934466e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.954
y[1] (analytic) = 1.150387886817958623814300855778
y[1] (numeric) = 1.1503878868179586238143008557784
absolute error = 4e-31
relative error = 3.4770880724972149309811648265824e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.955
y[1] (analytic) = 1.1512477433041179684786076120191
y[1] (numeric) = 1.1512477433041179684786076120195
absolute error = 4e-31
relative error = 3.4744910669877811306255097250364e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.956
y[1] (analytic) = 1.1521069047995357602978907922956
y[1] (numeric) = 1.1521069047995357602978907922959
absolute error = 3e-31
relative error = 2.6039250242337483865911858796835e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.957
y[1] (analytic) = 1.1529653698675664964829131589358
y[1] (numeric) = 1.1529653698675664964829131589361
absolute error = 3e-31
relative error = 2.6019862160687360026235223617941e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.958
y[1] (analytic) = 1.1538231370743503828640902857131
y[1] (numeric) = 1.1538231370743503828640902857135
absolute error = 4e-31
relative error = 3.4667358206583153865507881679521e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.959
y[1] (analytic) = 1.15468020498881906932875542338
y[1] (numeric) = 1.1546802049888190693287554233803
absolute error = 3e-31
relative error = 2.5981219622874278177616924219232e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.96
y[1] (analytic) = 1.1555365721827013740926518594552
y[1] (numeric) = 1.1555365721827013740926518594555
absolute error = 3e-31
relative error = 2.5961964962591173901148763986582e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.961
y[1] (analytic) = 1.1563922372305289967827556939294
y[1] (numeric) = 1.1563922372305289967827556939297
absolute error = 3e-31
relative error = 2.5942754572486327417833987810498e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.962
y[1] (analytic) = 1.1572471987096422203085767072135
y[1] (numeric) = 1.1572471987096422203085767072139
absolute error = 4e-31
relative error = 3.4564784468349492262406894329110e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.963
y[1] (analytic) = 1.1581014552001956014991298427298
y[1] (numeric) = 1.1581014552001956014991298427302
absolute error = 4e-31
relative error = 3.4539288263898594627581211981395e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=537.8MB, alloc=4.4MB, time=23.51
x[1] = 1.964
y[1] (analytic) = 1.1589550052851636504828147638468
y[1] (numeric) = 1.1589550052851636504828147638472
absolute error = 4e-31
relative error = 3.4513850682372180917580973356622e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.965
y[1] (analytic) = 1.1598078475503464987874859732129
y[1] (numeric) = 1.1598078475503464987874859732133
absolute error = 4e-31
relative error = 3.4488471589914489009280587527939e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.966
y[1] (analytic) = 1.1606599805843755561380411017649
y[1] (numeric) = 1.1606599805843755561380411017653
absolute error = 4e-31
relative error = 3.4463150853069455409299398239376e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.967
y[1] (analytic) = 1.1615114029787191559289001846017
y[1] (numeric) = 1.1615114029787191559289001846021
absolute error = 4e-31
relative error = 3.4437888338779285606269255568396e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.968
y[1] (analytic) = 1.1623621133276881893487940413321
y[1] (numeric) = 1.1623621133276881893487940413325
absolute error = 4e-31
relative error = 3.4412683914383030064799999834605e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.969
y[1] (analytic) = 1.1632121102284417281353252692566
y[1] (numeric) = 1.163212110228441728135325269257
absolute error = 4e-31
relative error = 3.4387537447615165835187684964381e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.97
y[1] (analytic) = 1.1640613922809926359368108386352
y[1] (numeric) = 1.1640613922809926359368108386356
absolute error = 4e-31
relative error = 3.4362448806604183753040896764949e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.971
y[1] (analytic) = 1.1649099580882131682589608501533
y[1] (numeric) = 1.1649099580882131682589608501537
absolute error = 4e-31
relative error = 3.4337417859871181203130324784389e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.972
y[1] (analytic) = 1.1657578062558405609739936753371
y[1] (numeric) = 1.1657578062558405609739936753375
absolute error = 4e-31
relative error = 3.4312444476328460421895829052184e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.973
y[1] (analytic) = 1.1666049353924826073698334509091
y[1] (numeric) = 1.1666049353924826073698334509095
absolute error = 4e-31
relative error = 3.4287528525278132313173609395015e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.974
y[1] (analytic) = 1.1674513441096232237170817377299
y[1] (numeric) = 1.1674513441096232237170817377303
absolute error = 4e-31
relative error = 3.4262669876410725751833739562745e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.975
y[1] (analytic) = 1.1682970310216280033315010838607
y[1] (numeric) = 1.1682970310216280033315010838611
absolute error = 4e-31
relative error = 3.4237868399803802350145275409627e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.976
y[1] (analytic) = 1.1691419947457497591097942492169
y[1] (numeric) = 1.1691419947457497591097942492173
absolute error = 4e-31
relative error = 3.4213123965920576661812390157041e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=541.7MB, alloc=4.4MB, time=23.70
x[1] = 1.977
y[1] (analytic) = 1.1699862339021340545165089560871
y[1] (numeric) = 1.1699862339021340545165089560874
absolute error = 3e-31
relative error = 2.5641327334206406349062900942246e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.978
y[1] (analytic) = 1.1708297471138247229999442252716
y[1] (numeric) = 1.1708297471138247229999442252719
absolute error = 3e-31
relative error = 2.5622854282573575326847352614317e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.979
y[1] (analytic) = 1.1716725330067693758149806415764
y[1] (numeric) = 1.1716725330067693758149806415767
absolute error = 3e-31
relative error = 2.5604423723250900884002636903719e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.98
y[1] (analytic) = 1.1725145902098248982308032646829
y[1] (numeric) = 1.1725145902098248982308032646832
absolute error = 3e-31
relative error = 2.5586035560232485202972617507817e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.981
y[1] (analytic) = 1.1733559173547629341015323618322
y[1] (numeric) = 1.1733559173547629341015323618324
absolute error = 2e-31
relative error = 1.7045126465197704306693142607942e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.982
y[1] (analytic) = 1.1741965130762753587778236871119
y[1] (numeric) = 1.1741965130762753587778236871121
absolute error = 2e-31
relative error = 1.7032924027002972038978397878859e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.983
y[1] (analytic) = 1.1750363760119797403375466682435
y[1] (numeric) = 1.1750363760119797403375466682437
absolute error = 2e-31
relative error = 1.7020749662133094540638510703049e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.984
y[1] (analytic) = 1.1758755048024247891136955854374
y[1] (numeric) = 1.1758755048024247891136955854376
absolute error = 2e-31
relative error = 1.7008603307337776702244304314951e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.985
y[1] (analytic) = 1.1767138980910957954977356379378
y[1] (numeric) = 1.176713898091095795497735637938
absolute error = 2e-31
relative error = 1.6996484899553461114478930086195e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.986
y[1] (analytic) = 1.1775515545244200559966326921238
y[1] (numeric) = 1.177551554524420055996632692124
absolute error = 2e-31
relative error = 1.6984394375902664683095676353968e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.987
y[1] (analytic) = 1.1783884727517722875218624902818
y[1] (numeric) = 1.178388472751772287521862490282
absolute error = 2e-31
relative error = 1.6972331673693317828967876601882e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.988
y[1] (analytic) = 1.1792246514254800298887421712318
y[1] (numeric) = 1.179224651425480029888742171232
absolute error = 2e-31
relative error = 1.6960296730418106261433444224050e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.989
y[1] (analytic) = 1.1800600892008290365044741126849
y[1] (numeric) = 1.1800600892008290365044741126851
absolute error = 2e-31
relative error = 1.6948289483753815313195301455946e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=545.5MB, alloc=4.4MB, time=23.87
x[1] = 1.99
y[1] (analytic) = 1.1808947847360686532233393503442
y[1] (numeric) = 1.1808947847360686532233393503444
absolute error = 2e-31
relative error = 1.6936309871560676825097387471939e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.991
y[1] (analytic) = 1.1817287366924171853475251601467
y[1] (numeric) = 1.1817287366924171853475251601469
absolute error = 2e-31
relative error = 1.6924357831881718569154027079087e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.992
y[1] (analytic) = 1.182561943734067252752118807493
y[1] (numeric) = 1.1825619437340672527521188074932
absolute error = 2e-31
relative error = 1.6912433302942116198268218817235e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.993
y[1] (analytic) = 1.1833944045281911331128469706285
y[1] (numeric) = 1.1833944045281911331128469706287
absolute error = 2e-31
relative error = 1.6900536223148547711131861531410e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.994
y[1] (analytic) = 1.1842261177449460932151879343441
y[1] (numeric) = 1.1842261177449460932151879343443
absolute error = 2e-31
relative error = 1.6888666531088550420858083526203e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.995
y[1] (analytic) = 1.185057082057479708323531324655
y[1] (numeric) = 1.1850570820574797083235313246552
absolute error = 2e-31
relative error = 1.6876824165529880415952670143338e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.996
y[1] (analytic) = 1.1858872961419351695891079149121
y[1] (numeric) = 1.1858872961419351695891079149123
absolute error = 2e-31
relative error = 1.6865009065419874502288105910408e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.997
y[1] (analytic) = 1.1867167586774565794754598787021
y[1] (numeric) = 1.1867167586774565794754598787023
absolute error = 2e-31
relative error = 1.6853221169884814614799958166459e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.998
y[1] (analytic) = 1.187545468346194235180269794717
y[1] (numeric) = 1.1875454683461942351802697947172
absolute error = 2e-31
relative error = 1.6841460418229294687681232141825e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.999
y[1] (analytic) = 1.1883734238333099000324147233212
y[1] (numeric) = 1.1883734238333099000324147233214
absolute error = 2e-31
relative error = 1.6829726749935589971905924706884e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2
y[1] (analytic) = 1.189200623826982062843159773628
y[1] (numeric) = 1.1892006238269820628431597736281
absolute error = 1e-31
relative error = 8.4090100523315143944841486231776e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.001
y[1] (analytic) = 1.1900270670184111851904537633238
y[1] (numeric) = 1.1900270670184111851904537633239
absolute error = 1e-31
relative error = 8.4031702111236833548896895950290e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.002
y[1] (analytic) = 1.1908527521018249366153378410549
y[1] (numeric) = 1.190852752101824936615337841055
absolute error = 1e-31
relative error = 8.3973438213500815738584522266123e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=549.3MB, alloc=4.4MB, time=24.05
x[1] = 2.003
y[1] (analytic) = 1.1916776777744834177095262927207
y[1] (numeric) = 1.1916776777744834177095262927208
absolute error = 1e-31
relative error = 8.3915308531040801774396376068730e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.004
y[1] (analytic) = 1.1925018427366843710732671883155
y[1] (numeric) = 1.1925018427366843710732671883156
absolute error = 1e-31
relative error = 8.3857312765663324053241214361189e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.005
y[1] (analytic) = 1.1933252456917683801226390448244
y[1] (numeric) = 1.1933252456917683801226390448245
absolute error = 1e-31
relative error = 8.3799450620044654958593982423277e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.006
y[1] (analytic) = 1.1941478853461240557254882829175
y[1] (numeric) = 1.1941478853461240557254882829176
absolute error = 1e-31
relative error = 8.3741721797727737564041280978168e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.007
y[1] (analytic) = 1.1949697604091932106452609406086
y[1] (numeric) = 1.1949697604091932106452609406087
absolute error = 1e-31
relative error = 8.3684126003119128136548924959091e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.008
y[1] (analytic) = 1.195790869593476021772030875451
y[1] (numeric) = 1.1957908695934760217720308754511
absolute error = 1e-31
relative error = 8.3626662941485950386042290924808e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.009
y[1] (analytic) = 1.19661121161453618012007553804
y[1] (numeric) = 1.1966112116145361801200755380401
absolute error = 1e-31
relative error = 8.3569332318952861408153340799949e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.01
y[1] (analytic) = 1.1974307851910060285713993333861
y[1] (numeric) = 1.1974307851910060285713993333862
absolute error = 1e-31
relative error = 8.3512133842499029267249969039799e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.011
y[1] (analytic) = 1.1982495890445916873446536029159
y[1] (numeric) = 1.198249589044591687344653602916
absolute error = 1e-31
relative error = 8.3455067219955122167123657105908e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.012
y[1] (analytic) = 1.1990676219000781671689513582542
y[1] (numeric) = 1.1990676219000781671689513582542
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.013
y[1] (analytic) = 1.1998848824853344701421240783459
y[1] (numeric) = 1.199884882485334470142124078346
absolute error = 1e-31
relative error = 8.3341328372159272320556921001110e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.014
y[1] (analytic) = 1.2007013695313186782530171436932
y[1] (numeric) = 1.2007013695313186782530171436933
absolute error = 1e-31
relative error = 8.3284655566799230396721940065692e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.015
y[1] (analytic) = 1.2015170817720830295474698253081
y[1] (numeric) = 1.2015170817720830295474698253082
absolute error = 1e-31
relative error = 8.3228113455126973779613732990810e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.016
y[1] (analytic) = 1.2023320179447789819176751712318
y[1] (numeric) = 1.2023320179447789819176751712319
absolute error = 1e-31
relative error = 8.3171701749185910847322642598966e-30 %
Correct digits = 31
h = 0.001
memory used=553.1MB, alloc=4.4MB, time=24.21
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.017
y[1] (analytic) = 1.2031461767896622644946646399305
y[1] (numeric) = 1.2031461767896622644946646399306
absolute error = 1e-31
relative error = 8.3115420161853125567815921846563e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.018
y[1] (analytic) = 1.2039595570500979166237119173657
y[1] (numeric) = 1.2039595570500979166237119173658
absolute error = 1e-31
relative error = 8.3059268406836446331334531972932e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.019
y[1] (analytic) = 1.2047721574725653144025000228421
y[1] (numeric) = 1.2047721574725653144025000228422
absolute error = 1e-31
relative error = 8.3003246198671525958660310790659e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.02
y[1] (analytic) = 1.2055839768066631847619455576666
y[1] (numeric) = 1.2055839768066631847619455576667
absolute error = 1e-31
relative error = 8.2947353252718932834909894033958e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.021
y[1] (analytic) = 1.2063950138051146070696237800066
y[1] (numeric) = 1.2063950138051146070696237800067
absolute error = 1e-31
relative error = 8.2891589285161253118758342369636e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.022
y[1] (analytic) = 1.2072052672237720022357880989164
y[1] (numeric) = 1.2072052672237720022357880989165
absolute error = 1e-31
relative error = 8.2835954013000203977240664417142e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.023
y[1] (analytic) = 1.2080147358216221093020275701062
y[1] (numeric) = 1.2080147358216221093020275701064
absolute error = 2e-31
relative error = 1.6556089430810751559304667970561e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.024
y[1] (analytic) = 1.2088234183607909494926560454587
y[1] (numeric) = 1.2088234183607909494926560454589
absolute error = 2e-31
relative error = 1.6545013685390655463856108854071e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.025
y[1] (analytic) = 1.2096313136065487777089767773548
y[1] (numeric) = 1.209631313606548777708976777355
absolute error = 2e-31
relative error = 1.6533963510228132331910213353333e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.026
y[1] (analytic) = 1.210438420327315021446616507354
y[1] (numeric) = 1.2104384203273150214466165073542
absolute error = 2e-31
relative error = 1.6522938849373100629238380000013e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.027
y[1] (analytic) = 1.2112447372946632071161733764758
y[1] (numeric) = 1.211244737294663207116173376476
absolute error = 2e-31
relative error = 1.6511939647036450989256635692318e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.028
y[1] (analytic) = 1.2120502632833258737474733810612
y[1] (numeric) = 1.2120502632833258737474733810614
absolute error = 2e-31
relative error = 1.6500965847589481884015310317804e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.029
y[1] (analytic) = 1.2128549970711994740577805637381
y[1] (numeric) = 1.2128549970711994740577805637383
absolute error = 2e-31
relative error = 1.6490017395563337431863042355095e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=556.9MB, alloc=4.4MB, time=24.38
x[1] = 2.03
y[1] (analytic) = 1.2136589374393492628643566731866
y[1] (numeric) = 1.2136589374393492628643566731867
absolute error = 1e-31
relative error = 8.2395471178242236660988660863375e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.031
y[1] (analytic) = 1.2144620831720141728218166489812
y[1] (numeric) = 1.2144620831720141728218166489813
absolute error = 1e-31
relative error = 8.2340981563469844588818899909428e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.032
y[1] (analytic) = 1.215264433056611677464776988591
y[1] (numeric) = 1.2152644330566116774647769885912
absolute error = 2e-31
relative error = 1.6457323571707231315001414669317e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.033
y[1] (analytic) = 1.2160659858837426415363448324276
y[1] (numeric) = 1.2160659858837426415363448324278
absolute error = 2e-31
relative error = 1.6446475957853181703000139519484e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.034
y[1] (analytic) = 1.2168667404471961585830464594507
y[1] (numeric) = 1.2168667404471961585830464594508
absolute error = 1e-31
relative error = 8.2178267082269168308271463105791e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.035
y[1] (analytic) = 1.2176666955439543757968448200689
y[1] (numeric) = 1.2176666955439543757968448200691
absolute error = 2e-31
relative error = 1.6424855892987717599664444999617e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.036
y[1] (analytic) = 1.2184658499741973060849467446985
y[1] (numeric) = 1.2184658499741973060849467446987
absolute error = 2e-31
relative error = 1.6414083333089333253073839692953e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.037
y[1] (analytic) = 1.2192642025413076273481515551661
y[1] (numeric) = 1.2192642025413076273481515551663
absolute error = 2e-31
relative error = 1.6403335682548604245074311544616e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.038
y[1] (analytic) = 1.2200617520518754689485439719615
y[1] (numeric) = 1.2200617520518754689485439719617
absolute error = 2e-31
relative error = 1.6392612887310334697861121858490e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.039
y[1] (analytic) = 1.2208584973157031853473854529502
y[1] (numeric) = 1.2208584973157031853473854529504
absolute error = 2e-31
relative error = 1.6381914893473667887360895690164e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.04
y[1] (analytic) = 1.221654437145810116894109418345
y[1] (numeric) = 1.2216544371458101168941094183452
absolute error = 2e-31
relative error = 1.6371241647291546931701363852390e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.041
y[1] (analytic) = 1.2224495703584373377473772123039
y[1] (numeric) = 1.2224495703584373377473772123041
absolute error = 2e-31
relative error = 1.6360593095170177504335888109005e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.042
y[1] (analytic) = 1.2232438957730523909092031232606
y[1] (numeric) = 1.2232438957730523909092031232608
absolute error = 2e-31
relative error = 1.6349969183668492562779787925808e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=560.7MB, alloc=4.4MB, time=24.55
x[1] = 2.043
y[1] (analytic) = 1.2240374122123540103532083328012
y[1] (numeric) = 1.2240374122123540103532083328014
absolute error = 2e-31
relative error = 1.6339369859497619083959291936228e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.044
y[1] (analytic) = 1.2248301185022768302281152863675
y[1] (numeric) = 1.2248301185022768302281152863677
absolute error = 2e-31
relative error = 1.6328795069520346797217508352349e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.045
y[1] (analytic) = 1.2256220134719960811176456780882
y[1] (numeric) = 1.2256220134719960811176456780884
absolute error = 2e-31
relative error = 1.6318244760750598906065147287663e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.046
y[1] (analytic) = 1.2264130959539322733380370164075
y[1] (numeric) = 1.2264130959539322733380370164077
absolute error = 2e-31
relative error = 1.6307718880352904789806835727712e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.047
y[1] (analytic) = 1.22720336478375586725444458669
y[1] (numeric) = 1.2272033647837558672544445866902
absolute error = 2e-31
relative error = 1.6297217375641874676216744050821e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.048
y[1] (analytic) = 1.22799281880039193059754755142
y[1] (numeric) = 1.2279928188003919305975475514203
absolute error = 3e-31
relative error = 2.4430110291122514414719839375941e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.049
y[1] (analytic) = 1.2287814568460247827617299277821
y[1] (numeric) = 1.2287814568460247827617299277824
absolute error = 3e-31
relative error = 2.4414430924928270060486898535318e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.05
y[1] (analytic) = 1.2295692777661026260662592560896
y[1] (numeric) = 1.2295692777661026260662592560899
absolute error = 3e-31
relative error = 2.4398787886522659533970573491869e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.051
y[1] (analytic) = 1.230356280409342163960937920523
y[1] (numeric) = 1.2303562804093421639609379205233
absolute error = 3e-31
relative error = 2.4383181097770262029456445838565e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.052
y[1] (analytic) = 1.2311424636277332061577543057297
y[1] (numeric) = 1.23114246362773320615775430573
absolute error = 3e-31
relative error = 2.4367610480756881948690600653989e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.053
y[1] (analytic) = 1.2319278262765432606701132688207
y[1] (numeric) = 1.231927826276543260670113268821
absolute error = 3e-31
relative error = 2.4352075957788778374867895559778e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.054
y[1] (analytic) = 1.2327123672143221127412777759657
y[1] (numeric) = 1.232712367214322112741277775966
absolute error = 3e-31
relative error = 2.4336577451391897412290621725486e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.055
y[1] (analytic) = 1.233496085302906390643705995924
y[1] (numeric) = 1.2334960853029063906437059959243
absolute error = 3e-31
relative error = 2.4321114884311107378960515588786e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=564.5MB, alloc=4.4MB, time=24.72
x[1] = 2.056
y[1] (analytic) = 1.2342789794074241183310206592523
y[1] (numeric) = 1.2342789794074241183310206592526
absolute error = 3e-31
relative error = 2.4305688179509436839428387525230e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.057
y[1] (analytic) = 1.2350610483962992549244000813805
y[1] (numeric) = 1.2350610483962992549244000813808
absolute error = 3e-31
relative error = 2.4290297260167315465286616505672e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.058
y[1] (analytic) = 1.2358422911412562210152329100452
y[1] (numeric) = 1.2358422911412562210152329100455
absolute error = 3e-31
relative error = 2.4274942049681817710750419827778e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.059
y[1] (analytic) = 1.2366227065173244117659313924966
y[1] (numeric) = 1.236622706517324411765931392497
absolute error = 4e-31
relative error = 3.2346163295554545721112194928084e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.06
y[1] (analytic) = 1.2374022934028426967908507652431
y[1] (numeric) = 1.2374022934028426967908507652434
absolute error = 3e-31
relative error = 2.4244338449947696449688860635774e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.061
y[1] (analytic) = 1.2381810506794639067993152486553
y[1] (numeric) = 1.2381810506794639067993152486556
absolute error = 3e-31
relative error = 2.4229089908569678006727192831312e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.062
y[1] (analytic) = 1.2389589772321593069828040803098
y[1] (numeric) = 1.2389589772321593069828040803101
absolute error = 3e-31
relative error = 2.4213876771788000168220808339473e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.063
y[1] (analytic) = 1.2397360719492230571284040442901
y[1] (numeric) = 1.2397360719492230571284040442904
absolute error = 3e-31
relative error = 2.4198698964071714092114936590167e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.064
y[1] (analytic) = 1.2405123337222766584406880485837
y[1] (numeric) = 1.240512333722276658440688048584
absolute error = 3e-31
relative error = 2.4183556410102036193863152488884e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.065
y[1] (analytic) = 1.2412877614462733870542324689891
y[1] (numeric) = 1.2412877614462733870542324689894
absolute error = 3e-31
relative error = 2.4168449034771611181144061601644e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.066
y[1] (analytic) = 1.2420623540195027142190392153748
y[1] (numeric) = 1.2420623540195027142190392153751
absolute error = 3e-31
relative error = 2.4153376763183777805379684148420e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.067
y[1] (analytic) = 1.2428361103435947131411817844961
y[1] (numeric) = 1.2428361103435947131411817844964
absolute error = 3e-31
relative error = 2.4138339520651837318033172157743e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.068
y[1] (analytic) = 1.2436090293235244524610479426606
y[1] (numeric) = 1.2436090293235244524610479426608
absolute error = 2e-31
relative error = 1.6082224821798883079814019290057e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=568.4MB, alloc=4.4MB, time=24.88
x[1] = 2.069
y[1] (analytic) = 1.2443811098676163763516051311296
y[1] (numeric) = 1.2443811098676163763516051311298
absolute error = 2e-31
relative error = 1.6072246550036188060154821500606e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.07
y[1] (analytic) = 1.2451523508875486712191682070352
y[1] (numeric) = 1.2451523508875486712191682070354
absolute error = 2e-31
relative error = 1.6062291482439024058402396086989e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.071
y[1] (analytic) = 1.2459227512983576189892027225627
y[1] (numeric) = 1.2459227512983576189892027225629
absolute error = 2e-31
relative error = 1.6052359569771317402971548390125e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.072
y[1] (analytic) = 1.2466923100184419369597506049903
y[1] (numeric) = 1.2466923100184419369597506049905
absolute error = 2e-31
relative error = 1.6042450762934557713242057207532e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.073
y[1] (analytic) = 1.2474610259695671042051188296702
y[1] (numeric) = 1.2474610259695671042051188296704
absolute error = 2e-31
relative error = 1.6032565012967320856695279356134e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.074
y[1] (analytic) = 1.2482288980768696745125254769647
y[1] (numeric) = 1.2482288980768696745125254769649
absolute error = 2e-31
relative error = 1.6022702271044793654195373346239e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.075
y[1] (analytic) = 1.2489959252688615758344514323031
y[1] (numeric) = 1.2489959252688615758344514323032
absolute error = 1e-31
relative error = 8.0064312442391501628507510071843e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.076
y[1] (analytic) = 1.2497621064774343962394999256858
y[1] (numeric) = 1.2497621064774343962394999256859
absolute error = 1e-31
relative error = 8.0015228083574153343670747685004e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.077
y[1] (analytic) = 1.2505274406378636563446201129123
y[1] (numeric) = 1.2505274406378636563446201129125
absolute error = 2e-31
relative error = 1.5993251607336569961955271358789e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.078
y[1] (analytic) = 1.2512919266888130682116049753348
y[1] (numeric) = 1.251291926688813068211604975335
absolute error = 2e-31
relative error = 1.5983480412060430586258387339838e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.079
y[1] (analytic) = 1.2520555635723387806908279578239
y[1] (numeric) = 1.2520555635723387806908279578241
absolute error = 2e-31
relative error = 1.5973731982737585355800929972669e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.08
y[1] (analytic) = 1.2528183502338936111952369756617
y[1] (numeric) = 1.2528183502338936111952369756619
absolute error = 2e-31
relative error = 1.5964006271353002551447171949299e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.081
y[1] (analytic) = 1.2535802856223312638876787000273
y[1] (numeric) = 1.2535802856223312638876787000276
absolute error = 3e-31
relative error = 2.3931454845037473973688822661262e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.082
memory used=572.2MB, alloc=4.4MB, time=25.05
y[1] (analytic) = 1.254341368689910534264680378403
y[1] (numeric) = 1.2543413686899105342646803784032
absolute error = 2e-31
relative error = 1.5944622811004696735642493614621e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.083
y[1] (analytic) = 1.2551015983922995001198708603781
y[1] (numeric) = 1.2551015983922995001198708603783
absolute error = 2e-31
relative error = 1.5934964966675726604521029245203e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.084
y[1] (analytic) = 1.2558609736885796988702769807571
y[1] (numeric) = 1.2558609736885796988702769807573
absolute error = 2e-31
relative error = 1.5925329649553606524486276857640e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.085
y[1] (analytic) = 1.2566194935412502912287860003532
y[1] (numeric) = 1.2566194935412502912287860003534
absolute error = 2e-31
relative error = 1.5915716812285366673231814748583e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.086
y[1] (analytic) = 1.257377156916232211206119420172
y[1] (numeric) = 1.2573771569162322112061194201722
absolute error = 2e-31
relative error = 1.5906126407649078229154368531937e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.087
y[1] (analytic) = 1.2581339627828723024257181666207
y[1] (numeric) = 1.2581339627828723024257181666209
absolute error = 2e-31
relative error = 1.5896558388553400113769709612411e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.088
y[1] (analytic) = 1.2588899101139474407349938937197
y[1] (numeric) = 1.2588899101139474407349938937199
absolute error = 2e-31
relative error = 1.5887012708037127377559841257699e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.089
y[1] (analytic) = 1.2596449978856686430964559628059
y[1] (numeric) = 1.2596449978856686430964559628061
absolute error = 2e-31
relative error = 1.5877489319268741222035577767099e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.09
y[1] (analytic) = 1.2603992250776851627422785407002
y[1] (numeric) = 1.2603992250776851627422785407005
absolute error = 3e-31
relative error = 2.3801982263318940976249204495031e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.091
y[1] (analytic) = 1.2611525906730885705759272035299
y[1] (numeric) = 1.2611525906730885705759272035302
absolute error = 3e-31
relative error = 2.3787763845442943614042046852156e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.092
y[1] (analytic) = 1.2619050936584168228045194451415
y[1] (numeric) = 1.2619050936584168228045194451418
absolute error = 3e-31
relative error = 2.3773578655607403808839080733844e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.093
y[1] (analytic) = 1.2626567330236583147856485660858
y[1] (numeric) = 1.2626567330236583147856485660861
absolute error = 3e-31
relative error = 2.3759426624336459310509160010596e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.094
y[1] (analytic) = 1.2634075077622559210724555612852
y[1] (numeric) = 1.2634075077622559210724555612854
absolute error = 2e-31
relative error = 1.5830205121563625800346471313246e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.095
y[1] (analytic) = 1.2641574168711110216407888314806
y[1] (numeric) = 1.2641574168711110216407888314809
absolute error = 3e-31
relative error = 2.3731221760540200926521089362347e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=576.0MB, alloc=4.4MB, time=25.22
TOP MAIN SOLVE Loop
x[1] = 2.096
y[1] (analytic) = 1.2649064593505875142823468151904
y[1] (numeric) = 1.2649064593505875142823468151907
absolute error = 3e-31
relative error = 2.3717168790016477216907996008812e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.097
y[1] (analytic) = 1.2656546342045158131477539739574
y[1] (numeric) = 1.2656546342045158131477539739576
absolute error = 2e-31
relative error = 1.5802099134706143576624516658081e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.098
y[1] (analytic) = 1.2664019404401968334235759639138
y[1] (numeric) = 1.266401940440196833423575963914
absolute error = 2e-31
relative error = 1.5792774285427950914684589291496e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.099
y[1] (analytic) = 1.2671483770684059621273352909155
y[1] (numeric) = 1.2671483770684059621273352909157
absolute error = 2e-31
relative error = 1.5783471266617355626615689061546e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.1
y[1] (analytic) = 1.2678939431033970150046442744772
y[1] (numeric) = 1.2678939431033970150046442744774
absolute error = 2e-31
relative error = 1.5774190032840148867631523157109e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.101
y[1] (analytic) = 1.2686386375629061795126277372526
y[1] (numeric) = 1.2686386375629061795126277372528
absolute error = 2e-31
relative error = 1.5764930538786533253069857906129e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.102
y[1] (analytic) = 1.2693824594681559438738634916263
y[1] (numeric) = 1.2693824594681559438738634916265
absolute error = 2e-31
relative error = 1.5755692739270693509922016873772e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.103
y[1] (analytic) = 1.2701254078438590121851244128944
y[1] (numeric) = 1.2701254078438590121851244128946
absolute error = 2e-31
relative error = 1.5746476589230368667064916072873e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.104
y[1] (analytic) = 1.2708674817182222055652616692851
y[1] (numeric) = 1.2708674817182222055652616692853
absolute error = 2e-31
relative error = 1.5737282043726425777474290211448e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.105
y[1] (analytic) = 1.271608680122950349326624522488
y[1] (numeric) = 1.2716086801229503493266245224883
absolute error = 3e-31
relative error = 2.3592163586913652748594084302461e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.106
y[1] (analytic) = 1.272349002093250146154468018197
y[1] (numeric) = 1.2723490020932501461544680181972
absolute error = 2e-31
relative error = 1.5718957587184247194150889893676e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.107
y[1] (analytic) = 1.2730884466678340352788558541975
y[1] (numeric) = 1.2730884466678340352788558541977
absolute error = 2e-31
relative error = 1.5709827586879570540945060116851e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.108
y[1] (analytic) = 1.2738270128889240376236217435358
y[1] (numeric) = 1.273827012888924037623621743536
absolute error = 2e-31
relative error = 1.5700719012577551983758371540665e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=579.8MB, alloc=4.4MB, time=25.40
x[1] = 2.109
y[1] (analytic) = 1.2745646998022555869170086820485
y[1] (numeric) = 1.2745646998022555869170086820487
absolute error = 2e-31
relative error = 1.5691631819948357682077715541395e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.11
y[1] (analytic) = 1.2753015064570813467486616828053
y[1] (numeric) = 1.2753015064570813467486616828055
absolute error = 2e-31
relative error = 1.5682565964782755951942217094816e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.111
y[1] (analytic) = 1.2760374319061750135577057545828
y[1] (numeric) = 1.276037431906175013557705754583
absolute error = 2e-31
relative error = 1.5673521402991701526463296631414e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.112
y[1] (analytic) = 1.2767724752058351055366971771281
y[1] (numeric) = 1.2767724752058351055366971771283
absolute error = 2e-31
relative error = 1.5664498090605921295680139697659e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.113
y[1] (analytic) = 1.2775066354158887374362924624589
y[1] (numeric) = 1.2775066354158887374362924624591
absolute error = 2e-31
relative error = 1.5655495983775501519308085071368e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.114
y[1] (analytic) = 1.2782399115996953812555357885579
y[1] (numeric) = 1.278239911599695381255535788558
absolute error = 1e-31
relative error = 7.8232575193847382529838189573507e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.115
y[1] (analytic) = 1.2789723028241506128027221493248
y[1] (numeric) = 1.2789723028241506128027221493249
absolute error = 1e-31
relative error = 7.8187776059877093762559280881983e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.116
y[1] (analytic) = 1.2797038081596898441118499823305
y[1] (numeric) = 1.2797038081596898441118499823306
absolute error = 1e-31
relative error = 7.8143082299495152685498733324428e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.117
y[1] (analytic) = 1.2804344266802920416997336135375
y[1] (numeric) = 1.2804344266802920416997336135376
absolute error = 1e-31
relative error = 7.8098493695818684798465214451291e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.118
y[1] (analytic) = 1.2811641574634834306489024954962
y[1] (numeric) = 1.2811641574634834306489024954964
absolute error = 2e-31
relative error = 1.5610802006510280423683320794189e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.119
y[1] (analytic) = 1.281892999590341184501470912358
y[1] (numeric) = 1.2818929995903411845014709123581
absolute error = 1e-31
relative error = 7.8009631093981582761929208633363e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.12
y[1] (analytic) = 1.2826209521454971009492185811456
y[1] (numeric) = 1.2826209521454971009492185811457
absolute error = 1e-31
relative error = 7.7965356664980057670828976773973e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.121
y[1] (analytic) = 1.2833480142171412633051793938612
y[1] (numeric) = 1.2833480142171412633051793938613
absolute error = 1e-31
relative error = 7.7921186530998204449958747324269e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=583.6MB, alloc=4.4MB, time=25.57
x[1] = 2.122
y[1] (analytic) = 1.284074184897025687742092418957
y[1] (numeric) = 1.2840741848970256877420924189572
absolute error = 2e-31
relative error = 1.5575424095613189657240099702883e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.123
y[1] (analytic) = 1.284799463280467956283126213229
y[1] (numeric) = 1.2847994632804679562831262132292
absolute error = 2e-31
relative error = 1.5566631658557953983603151042459e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.124
y[1] (analytic) = 1.285523848466354835530344486079
y[1] (numeric) = 1.2855238484663548355303444860793
absolute error = 3e-31
relative error = 2.3336789928705216187473232530634e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.125
y[1] (analytic) = 1.2862473395571458811164382071096
y[1] (numeric) = 1.2862473395571458811164382071098
absolute error = 2e-31
relative error = 1.5549108934900488841275173383014e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.126
y[1] (analytic) = 1.2869699356588770278653063549265
y[1] (numeric) = 1.2869699356588770278653063549267
absolute error = 2e-31
relative error = 1.5540378563513841183998040574557e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.127
y[1] (analytic) = 1.2876916358811641656471246696154
y[1] (numeric) = 1.2876916358811641656471246696156
absolute error = 2e-31
relative error = 1.5531668796088785669704955310396e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.128
y[1] (analytic) = 1.2884124393372067009135989933834
y[1] (numeric) = 1.2884124393372067009135989933836
absolute error = 2e-31
relative error = 1.5522979590517246833203346132924e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.129
y[1] (analytic) = 1.289132345143791103899157063102
y[1] (numeric) = 1.2891323451437911038991570631021
absolute error = 1e-31
relative error = 7.7571554524020495772928140882330e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.13
y[1] (analytic) = 1.2898513524212944414738899547133
y[1] (numeric) = 1.2898513524212944414738899547134
absolute error = 1e-31
relative error = 7.7528313485333891770641495905933e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.131
y[1] (analytic) = 1.2905694602936878956341117724448
y[1] (numeric) = 1.290569460293687895634111772445
absolute error = 2e-31
relative error = 1.5497034925534894049136512910658e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.132
y[1] (analytic) = 1.2912866678885402676164636252849
y[1] (numeric) = 1.291286667888540267616463625285
absolute error = 1e-31
relative error = 7.7442137742749218834199091750021e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.133
y[1] (analytic) = 1.2920029743370214676215454389745
y[1] (numeric) = 1.2920029743370214676215454389746
absolute error = 1e-31
relative error = 7.7399202622822141537360820973249e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.134
y[1] (analytic) = 1.2927183787739059901331167136428
y[1] (numeric) = 1.2927183787739059901331167136429
absolute error = 1e-31
relative error = 7.7356369060712342258482704908624e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=587.4MB, alloc=4.4MB, time=25.75
x[1] = 2.135
y[1] (analytic) = 1.2934328803375763748189649549153
y[1] (numeric) = 1.2934328803375763748189649549154
absolute error = 1e-31
relative error = 7.7313636849792115032808842803196e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.136
y[1] (analytic) = 1.2941464781700266529995981796368
y[1] (numeric) = 1.2941464781700266529995981796368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.137
y[1] (analytic) = 1.2948591714168657796709756260332
y[1] (numeric) = 1.2948591714168657796709756260332
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.138
y[1] (analytic) = 1.295570959227321051067548581967
y[1] (numeric) = 1.295570959227321051067548581967
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.139
y[1] (analytic) = 1.2962818407542415077519410836778
y[1] (numeric) = 1.2962818407542415077519410836779
absolute error = 1e-31
relative error = 7.7143717404708073570700738375489e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.14
y[1] (analytic) = 1.2969918151541013232176581308249
y[1] (numeric) = 1.2969918151541013232176581308249
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.141
y[1] (analytic) = 1.2977008815870031779912670115142
y[1] (numeric) = 1.2977008815870031779912670115143
absolute error = 1e-31
relative error = 7.7059360457323994463386852229419e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.142
y[1] (analytic) = 1.2984090392166816192205553330869
y[1] (numeric) = 1.298409039216681619220555333087
absolute error = 1e-31
relative error = 7.7017331965224989319970387474972e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.143
y[1] (analytic) = 1.2991162872105064057352274105132
y[1] (numeric) = 1.2991162872105064057352274105132
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.144
y[1] (analytic) = 1.2998226247394858385667587740681
y[1] (numeric) = 1.2998226247394858385667587740681
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.145
y[1] (analytic) = 1.300528050978270076914086721312
y[1] (numeric) = 1.300528050978270076914086721312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.146
y[1] (analytic) = 1.3012325651051544395418730550333
y[1] (numeric) = 1.3012325651051544395418730550332
absolute error = 1e-31
relative error = 7.6850213160718782738434723833566e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.147
y[1] (analytic) = 1.3019361663020826915981334185056
y[1] (numeric) = 1.3019361663020826915981334185056
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.148
y[1] (analytic) = 1.3026388537546503168380859619246
y[1] (numeric) = 1.3026388537546503168380859619246
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
memory used=591.3MB, alloc=4.4MB, time=25.93
TOP MAIN SOLVE Loop
x[1] = 2.149
y[1] (analytic) = 1.3033406266521077752411304489914
y[1] (numeric) = 1.3033406266521077752411304489914
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.15
y[1] (analytic) = 1.3040414841873637460079273400712
y[1] (numeric) = 1.3040414841873637460079273400711
absolute error = 1e-31
relative error = 7.6684676992708363606965007254553e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.151
y[1] (analytic) = 1.3047414255569883559246048679336
y[1] (numeric) = 1.3047414255569883559246048679335
absolute error = 1e-31
relative error = 7.6643538743556365095852447804002e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.152
y[1] (analytic) = 1.305440449961216393081180653552
y[1] (numeric) = 1.3054404499612163930811806535519
absolute error = 1e-31
relative error = 7.6602498415742304589654496510640e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.153
y[1] (analytic) = 1.306138556603950505931342992559
y[1] (numeric) = 1.3061385566039505059313429925589
absolute error = 1e-31
relative error = 7.6561555812276786990648089246086e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.154
y[1] (analytic) = 1.3068357446927643876807955774995
y[1] (numeric) = 1.3068357446927643876807955774994
absolute error = 1e-31
relative error = 7.6520710736688555621263044438479e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.155
y[1] (analytic) = 1.3075320134389059459914281067478
y[1] (numeric) = 1.3075320134389059459914281067477
absolute error = 1e-31
relative error = 7.6479962993022710406982558497440e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.156
y[1] (analytic) = 1.3082273620573004579886339676324
y[1] (numeric) = 1.3082273620573004579886339676323
absolute error = 1e-31
relative error = 7.6439312385838932171757441174099e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.157
y[1] (analytic) = 1.3089217897665537105591549687051
y[1] (numeric) = 1.308921789766553710559154968705
absolute error = 1e-31
relative error = 7.6398758720209713019690320828950e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.158
y[1] (analytic) = 1.3096152957889551259268919339617
y[1] (numeric) = 1.3096152957889551259268919339616
absolute error = 1e-31
relative error = 7.6358301801718592776866956482726e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.159
y[1] (analytic) = 1.3103078793504808724941788599401
y[1] (numeric) = 1.3103078793504808724941788599399
absolute error = 2e-31
relative error = 1.5263588287291680293466420279376e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.16
y[1] (analytic) = 1.310999539680796960936077274746
y[1] (numeric) = 1.3109995396807969609360772747458
absolute error = 2e-31
relative error = 1.5255535486205901559465415038211e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.161
y[1] (analytic) = 1.3116902760132623255353064259586
y[1] (numeric) = 1.3116902760132623255353064259584
absolute error = 2e-31
relative error = 1.5247501918507614724405064310896e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=595.1MB, alloc=4.4MB, time=26.11
x[1] = 2.162
y[1] (analytic) = 1.3123800875849318907454839618018
y[1] (numeric) = 1.3123800875849318907454839618016
absolute error = 2e-31
relative error = 1.5239487545718862873824151965475e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.163
y[1] (analytic) = 1.3130689736365596229704108567088
y[1] (numeric) = 1.3130689736365596229704108567086
absolute error = 2e-31
relative error = 1.5231492329462153078748336895246e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.164
y[1] (analytic) = 1.3137569334126015675471934682081
y[1] (numeric) = 1.3137569334126015675471934682079
absolute error = 2e-31
relative error = 1.5223516231460110847856066020978e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.165
y[1] (analytic) = 1.3144439661612188709210547966932
y[1] (numeric) = 1.314443966161218870921054796693
absolute error = 2e-31
relative error = 1.5215559213535135755769000890345e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.166
y[1] (analytic) = 1.3151300711342807879997462528593
y[1] (numeric) = 1.3151300711342807879997462528591
absolute error = 2e-31
relative error = 1.5207621237609058242431580224793e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.167
y[1] (analytic) = 1.3158152475873676746755305191704
y[1] (numeric) = 1.3158152475873676746755305191702
absolute error = 2e-31
relative error = 1.5199702265702797578567468179063e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.168
y[1] (analytic) = 1.3164994947797739655027654214157
y[1] (numeric) = 1.3164994947797739655027654214155
absolute error = 2e-31
relative error = 1.5191802259936020992223651701069e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.169
y[1] (analytic) = 1.3171828119745111365191781039892
y[1] (numeric) = 1.3171828119745111365191781039891
absolute error = 1e-31
relative error = 7.5919605912634019757179254293242e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.17
y[1] (analytic) = 1.3178651984383106531989782277472
y[1] (numeric) = 1.3178651984383106531989782277471
absolute error = 1e-31
relative error = 7.5880294978956457990358469898551e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.171
y[1] (analytic) = 1.3185466534416269035260183819201
y[1] (numeric) = 1.31854665344162690352601838192
absolute error = 1e-31
relative error = 7.5841078310716806639653927874785e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.172
y[1] (analytic) = 1.3192271762586401161752694213494
y[1] (numeric) = 1.3192271762586401161752694213493
absolute error = 1e-31
relative error = 7.5801955720471432561016799574672e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.173
y[1] (analytic) = 1.3199067661672592637909380070382
y[1] (numeric) = 1.3199067661672592637909380070381
absolute error = 1e-31
relative error = 7.5762927021262006777058337248489e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.174
y[1] (analytic) = 1.3205854224491249513496132414164
y[1] (numeric) = 1.3205854224491249513496132414163
absolute error = 1e-31
relative error = 7.5723992026613834424902928098944e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=598.9MB, alloc=4.4MB, time=26.29
x[1] = 2.175
y[1] (analytic) = 1.3212631443896122895968889495854
y[1] (numeric) = 1.3212631443896122895968889495852
absolute error = 2e-31
relative error = 1.5137030110106838067606180638051e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.176
y[1] (analytic) = 1.3219399312778337535459678638838
y[1] (numeric) = 1.3219399312778337535459678638836
absolute error = 2e-31
relative error = 1.5129280481502132047613073145852e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.177
y[1] (analytic) = 1.3226157824066420260268137211701
y[1] (numeric) = 1.3226157824066420260268137211699
absolute error = 2e-31
relative error = 1.5121549482501897502513478883658e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.178
y[1] (analytic) = 1.3232906970726328262744770800035
y[1] (numeric) = 1.3232906970726328262744770800033
absolute error = 2e-31
relative error = 1.5113837076194785111002706280344e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.179
y[1] (analytic) = 1.3239646745761477235452805081924
y[1] (numeric) = 1.3239646745761477235452805081923
absolute error = 1e-31
relative error = 7.5530716128822595643238483849712e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.18
y[1] (analytic) = 1.3246377142212769357496086797212
y[1] (numeric) = 1.3246377142212769357496086797211
absolute error = 1e-31
relative error = 7.5492339472447850332734456487042e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.181
y[1] (analytic) = 1.3253098153158621130901088536254
y[1] (numeric) = 1.3253098153158621130901088536253
absolute error = 1e-31
relative error = 7.5454055228714142341306492406113e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.182
y[1] (analytic) = 1.325980977171499106694167185726
y[1] (numeric) = 1.3259809771714991066941671857259
absolute error = 1e-31
relative error = 7.5415863214956398901690634308668e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.183
y[1] (analytic) = 1.3266511991035407222295863470091
y[1] (numeric) = 1.326651199103540722229586347009
absolute error = 1e-31
relative error = 7.5377763248978401558848630890312e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.184
y[1] (analytic) = 1.3273204804310994584924499896108
y[1] (numeric) = 1.3273204804310994584924499896107
absolute error = 1e-31
relative error = 7.5339755149051171388759306388168e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.185
y[1] (analytic) = 1.3279888204770502309562197126021
y[1] (numeric) = 1.327988820477050230956219712602
absolute error = 1e-31
relative error = 7.5301838733911359615632588309892e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.186
y[1] (analytic) = 1.3286562185680330802711703348168
y[1] (numeric) = 1.3286562185680330802711703348168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.187
y[1] (analytic) = 1.3293226740344558657033294805932
y[1] (numeric) = 1.3293226740344558657033294805932
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=602.7MB, alloc=4.4MB, time=26.47
x[1] = 2.188
y[1] (analytic) = 1.329988186210496943502147726261
y[1] (numeric) = 1.329988186210496943502147726261
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.189
y[1] (analytic) = 1.3306527544341078301861858402663
y[1] (numeric) = 1.3306527544341078301861858402663
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.19
y[1] (analytic) = 1.3313163780470158507361659777345
y[1] (numeric) = 1.3313163780470158507361659777345
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.191
y[1] (analytic) = 1.331979056394726771684794060799
y[1] (numeric) = 1.3319790563947267716847940607989
absolute error = 1e-31
relative error = 7.5076255531127054015791937559460e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.192
y[1] (analytic) = 1.3326407888265274190928209889155
y[1] (numeric) = 1.3326407888265274190928209889154
absolute error = 1e-31
relative error = 7.5038975872902840296676520022656e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.193
y[1] (analytic) = 1.3333015746954882814008707784093
y[1] (numeric) = 1.3333015746954882814008707784092
absolute error = 1e-31
relative error = 7.5001786465930577555003211170174e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.194
y[1] (analytic) = 1.3339614133584660971466242274119
y[1] (numeric) = 1.3339614133584660971466242274118
absolute error = 1e-31
relative error = 7.4964687133066045576531272321665e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.195
y[1] (analytic) = 1.3346203041761064275370072409035
y[1] (numeric) = 1.3346203041761064275370072409034
absolute error = 1e-31
relative error = 7.4927677697614852379039451851238e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.196
y[1] (analytic) = 1.3352782465128462138650935305382
y[1] (numeric) = 1.3352782465128462138650935305381
absolute error = 1e-31
relative error = 7.4890757983330882719077660644441e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.197
y[1] (analytic) = 1.3359352397369163197614920250503
y[1] (numeric) = 1.3359352397369163197614920250501
absolute error = 2e-31
relative error = 1.4970785562882950345665535205288e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.198
y[1] (analytic) = 1.3365912832203440582700499890824
y[1] (numeric) = 1.3365912832203440582700499890822
absolute error = 2e-31
relative error = 1.4963437403102452731565920042014e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.199
y[1] (analytic) = 1.3372463763389557037377635509923
y[1] (numeric) = 1.3372463763389557037377635509921
absolute error = 2e-31
relative error = 1.4956107082342575141685949789352e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.2
y[1] (analytic) = 1.3379005184723789885088480833451
y[1] (numeric) = 1.3379005184723789885088480833449
absolute error = 2e-31
relative error = 1.4948794565709633385180824346296e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.201
y[1] (analytic) = 1.3385537090040455844129816631383
y[1] (numeric) = 1.3385537090040455844129816631381
absolute error = 2e-31
relative error = 1.4941499818398062427861921861985e-29 %
memory used=606.5MB, alloc=4.4MB, time=26.65
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.202
y[1] (analytic) = 1.3392059473211935690377956620952
y[1] (numeric) = 1.339205947321193569037795662095
absolute error = 2e-31
relative error = 1.4934222805690112184242526008372e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.203
y[1] (analytic) = 1.3398572328148698767757473803514
y[1] (numeric) = 1.3398572328148698767757473803512
absolute error = 2e-31
relative error = 1.4926963492955544309708391310586e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.204
y[1] (analytic) = 1.3405075648799327346355705393135
y[1] (numeric) = 1.3405075648799327346355705393133
absolute error = 2e-31
relative error = 1.4919721845651329988581820141496e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.205
y[1] (analytic) = 1.341156942915054082808560391134
y[1] (numeric) = 1.3411569429150540828085603911339
absolute error = 1e-31
relative error = 7.4562489146606743569335770891344e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.206
y[1] (analytic) = 1.3418053663227219799800111828913
y[1] (numeric) = 1.3418053663227219799800111828912
absolute error = 1e-31
relative error = 7.4526457047980440272423603524107e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.207
y[1] (analytic) = 1.34245283450924299337618473293
y[1] (numeric) = 1.3424528345092429933761847329299
absolute error = 1e-31
relative error = 7.4490512760961722029096603230581e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.208
y[1] (analytic) = 1.3430993468847445735372499346759
y[1] (numeric) = 1.3430993468847445735372499346758
absolute error = 1e-31
relative error = 7.4454656114564623597141505778661e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.209
y[1] (analytic) = 1.3437449028631774138066940993323
y[1] (numeric) = 1.3437449028631774138066940993322
absolute error = 1e-31
relative error = 7.4418886938231746038865607311342e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.21
y[1] (analytic) = 1.3443895018623177945277681829597
y[1] (numeric) = 1.3443895018623177945277681829596
absolute error = 1e-31
relative error = 7.4383205061832775099285485123172e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.211
y[1] (analytic) = 1.3450331433037699119375891152826
y[1] (numeric) = 1.3450331433037699119375891152825
absolute error = 1e-31
relative error = 7.4347610315663004418353471801851e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.212
y[1] (analytic) = 1.3456758266129681917495836569192
y[1] (numeric) = 1.3456758266129681917495836569192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.213
y[1] (analytic) = 1.3463175512191795874150194583448
y[1] (numeric) = 1.3463175512191795874150194583448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.214
y[1] (analytic) = 1.3469583165555058630544302775265
y[1] (numeric) = 1.3469583165555058630544302775265
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=610.3MB, alloc=4.4MB, time=26.83
x[1] = 2.215
y[1] (analytic) = 1.3475981220588858610498036335751
y[1] (numeric) = 1.3475981220588858610498036335751
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.216
y[1] (analytic) = 1.3482369671700977542884605306845
y[1] (numeric) = 1.3482369671700977542884605306845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.217
y[1] (analytic) = 1.3488748513337612830496182798446
y[1] (numeric) = 1.3488748513337612830496182798446
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.218
y[1] (analytic) = 1.3495117739983399765246888750575
y[1] (numeric) = 1.3495117739983399765246888750575
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.219
y[1] (analytic) = 1.3501477346161433589624268458269
y[1] (numeric) = 1.3501477346161433589624268458269
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.22
y[1] (analytic) = 1.3507827326433291404301020082695
y[1] (numeric) = 1.3507827326433291404301020082694
absolute error = 1e-31
relative error = 7.4031150667962198583782685382888e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.221
y[1] (analytic) = 1.3514167675399053921819340730788
y[1] (numeric) = 1.3514167675399053921819340730788
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.222
y[1] (analytic) = 1.3520498387697327066260876395048
y[1] (numeric) = 1.3520498387697327066260876395047
absolute error = 1e-31
relative error = 7.3961770589013750643754510389655e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.223
y[1] (analytic) = 1.3526819458005263418815877102464
y[1] (numeric) = 1.3526819458005263418815877102463
absolute error = 1e-31
relative error = 7.3927208321553609822764817774021e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.224
y[1] (analytic) = 1.3533130881038583509165775024578
y[1] (numeric) = 1.3533130881038583509165775024577
absolute error = 1e-31
relative error = 7.3892731016228539431617664091549e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.225
y[1] (analytic) = 1.3539432651551596952594020046729
y[1] (numeric) = 1.3539432651551596952594020046728
absolute error = 1e-31
relative error = 7.3858338509139939999299816396893e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.226
y[1] (analytic) = 1.3545724764337223432740624381343
y[1] (numeric) = 1.3545724764337223432740624381342
absolute error = 1e-31
relative error = 7.3824030636793234563164018157339e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.227
y[1] (analytic) = 1.3552007214227013529916485235052
y[1] (numeric) = 1.3552007214227013529916485235051
absolute error = 1e-31
relative error = 7.3789807236096466513250244210148e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=614.1MB, alloc=4.4MB, time=27.01
x[1] = 2.228
y[1] (analytic) = 1.3558279996091169394894172300134
y[1] (numeric) = 1.3558279996091169394894172300133
absolute error = 1e-31
relative error = 7.3755668144358901936137845412838e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.229
y[1] (analytic) = 1.3564543104838565268092484934678
y[1] (numeric) = 1.3564543104838565268092484934678
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.23
y[1] (analytic) = 1.3570796535416767844072702320616
y[1] (numeric) = 1.3570796535416767844072702320616
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.231
y[1] (analytic) = 1.3577040282812056481265068641758
y[1] (numeric) = 1.3577040282812056481265068641758
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.232
y[1] (analytic) = 1.3583274342049443256844674402857
y[1] (numeric) = 1.3583274342049443256844674402857
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.233
y[1] (analytic) = 1.3589498708192692866676514412897
y[1] (numeric) = 1.3589498708192692866676514412897
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.234
y[1] (analytic) = 1.3595713376344342370250122678921
y[1] (numeric) = 1.3595713376344342370250122678921
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.235
y[1] (analytic) = 1.3601918341645720780524804498179
y[1] (numeric) = 1.3601918341645720780524804498179
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.236
y[1] (analytic) = 1.3608113599276968498607106393785
y[1] (numeric) = 1.3608113599276968498607106393785
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.237
y[1] (analytic) = 1.3614299144457056593182785209925
y[1] (numeric) = 1.3614299144457056593182785209925
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.238
y[1] (analytic) = 1.3620474972443805924626158664437
y[1] (numeric) = 1.3620474972443805924626158664438
absolute error = 1e-31
relative error = 7.3418878711876411841789616279915e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.239
y[1] (analytic) = 1.3626641078533906113710340946866
y[1] (numeric) = 1.3626641078533906113710340946866
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.24
y[1] (analytic) = 1.3632797458062934354842488546332
y[1] (numeric) = 1.3632797458062934354842488546332
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.241
y[1] (analytic) = 1.3638944106405374073748803393331
y[1] (numeric) = 1.3638944106405374073748803393332
absolute error = 1e-31
relative error = 7.3319458764433343467475916093587e-30 %
Correct digits = 31
h = 0.001
memory used=618.0MB, alloc=4.4MB, time=27.19
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.242
y[1] (analytic) = 1.3645081018974633429534662600318
y[1] (numeric) = 1.3645081018974633429534662600318
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.243
y[1] (analytic) = 1.3651208191223063661045866585219
y[1] (numeric) = 1.3651208191223063661045866585219
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.244
y[1] (analytic) = 1.3657325618641977277457620157365
y[1] (numeric) = 1.3657325618641977277457620157365
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.245
y[1] (analytic) = 1.3663433296761666093018484234148
y[1] (numeric) = 1.3663433296761666093018484234148
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.246
y[1] (analytic) = 1.3669531221151419105877159236658
y[1] (numeric) = 1.3669531221151419105877159236658
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.247
y[1] (analytic) = 1.3675619387419540220920584881
y[1] (numeric) = 1.3675619387419540220920584881001
absolute error = 1e-31
relative error = 7.3122830613428656069843254285614e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.248
y[1] (analytic) = 1.3681697791213365816552465036527
y[1] (numeric) = 1.3681697791213365816552465036527
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.249
y[1] (analytic) = 1.3687766428219282155341950560294
y[1] (numeric) = 1.3687766428219282155341950560294
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.25
y[1] (analytic) = 1.3693825294162742638472837536247
y[1] (numeric) = 1.3693825294162742638472837536246
absolute error = 1e-31
relative error = 7.3025613991604617801903388533417e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.251
y[1] (analytic) = 1.3699874384808284903924263145326
y[1] (numeric) = 1.3699874384808284903924263145326
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.252
y[1] (analytic) = 1.3705913695959547768314506466527
y[1] (numeric) = 1.3705913695959547768314506466527
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.253
y[1] (analytic) = 1.3711943223459288012340126856282
y[1] (numeric) = 1.3711943223459288012340126856282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.254
y[1] (analytic) = 1.3717962963189397009743298172004
y[1] (numeric) = 1.3717962963189397009743298172003
absolute error = 1e-31
relative error = 7.2897120562534464057115072310877e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=621.8MB, alloc=4.5MB, time=27.37
x[1] = 2.255
y[1] (analytic) = 1.3723972911070917199740822992619
y[1] (numeric) = 1.3723972911070917199740822992618
absolute error = 1e-31
relative error = 7.2865197744110630605530371225079e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.256
y[1] (analytic) = 1.3729973063064058402848937142006
y[1] (numeric) = 1.3729973063064058402848937142004
absolute error = 2e-31
relative error = 1.4566670967333046567609763621248e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.257
y[1] (analytic) = 1.3735963415168213980038641237858
y[1] (numeric) = 1.3735963415168213980038641237856
absolute error = 2e-31
relative error = 1.4560318337710915554428479386058e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.258
y[1] (analytic) = 1.3741943963421976835156922666212
y[1] (numeric) = 1.374194396342197683515692266621
absolute error = 2e-31
relative error = 1.4553981629699253409258536753296e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.259
y[1] (analytic) = 1.3747914703903155260549858318072
y[1] (numeric) = 1.374791470390315526054985831807
absolute error = 2e-31
relative error = 1.4547660813113585958501813928336e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.26
y[1] (analytic) = 1.3753875632728788625824215616855
y[1] (numeric) = 1.3753875632728788625824215616854
absolute error = 1e-31
relative error = 7.2706779289205959444560073402676e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.261
y[1] (analytic) = 1.3759826746055162909684796811175
y[1] (numeric) = 1.3759826746055162909684796811174
absolute error = 1e-31
relative error = 7.2675333669204254465581133187093e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.262
y[1] (analytic) = 1.3765768040077826074785399204283
y[1] (numeric) = 1.3765768040077826074785399204282
absolute error = 1e-31
relative error = 7.2643967055712962978796060470225e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.263
y[1] (analytic) = 1.3771699511031603285531891936842
y[1] (numeric) = 1.3771699511031603285531891936841
absolute error = 1e-31
relative error = 7.2612679299237231285162805268045e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.264
y[1] (analytic) = 1.3777621155190611968776538131005
y[1] (numeric) = 1.3777621155190611968776538131004
absolute error = 1e-31
relative error = 7.2581470250635956251827316837937e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.265
y[1] (analytic) = 1.3783532968868276717343319638592
y[1] (numeric) = 1.3783532968868276717343319638591
absolute error = 1e-31
relative error = 7.2550339761120541555342093009209e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.266
y[1] (analytic) = 1.3789434948417344036324650311945
y[1] (numeric) = 1.3789434948417344036324650311943
absolute error = 2e-31
relative error = 1.4503857536450731552735698993271e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.267
y[1] (analytic) = 1.3795327090229896932090492630256
y[1] (numeric) = 1.3795327090229896932090492630255
absolute error = 1e-31
relative error = 7.2488313865948006241134064760265e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=625.6MB, alloc=4.5MB, time=27.55
x[1] = 2.268
y[1] (analytic) = 1.3801209390737369343951521664375
y[1] (numeric) = 1.3801209390737369343951521664374
absolute error = 1e-31
relative error = 7.2457418164465086860307921886200e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.269
y[1] (analytic) = 1.3807081846410560418418609746655
y[1] (numeric) = 1.3807081846410560418418609746654
absolute error = 1e-31
relative error = 7.2426600430413969505388834783443e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.27
y[1] (analytic) = 1.3812944453759648626001534826956
y[1] (numeric) = 1.3812944453759648626001534826955
absolute error = 1e-31
relative error = 7.2395860516750069351071764909662e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.271
y[1] (analytic) = 1.3818797209334205720490445338782
y[1] (numeric) = 1.3818797209334205720490445338781
absolute error = 1e-31
relative error = 7.2365198276773925901489566944262e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.272
y[1] (analytic) = 1.3824640109723210540664244468303
y[1] (numeric) = 1.3824640109723210540664244468302
absolute error = 1e-31
relative error = 7.2334613564129985773617100489228e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.273
y[1] (analytic) = 1.3830473151555062654370687011136
y[1] (numeric) = 1.3830473151555062654370687011135
absolute error = 1e-31
relative error = 7.2304106232805389209675268163750e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.274
y[1] (analytic) = 1.383629633149759584492361251468
y[1] (numeric) = 1.3836296331497595844923612514679
absolute error = 1e-31
relative error = 7.2273676137128760303132444021237e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.275
y[1] (analytic) = 1.3842109646258091439763369135063
y[1] (numeric) = 1.3842109646258091439763369135062
absolute error = 1e-31
relative error = 7.2243323131769000922970396534527e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.276
y[1] (analytic) = 1.3847913092583291481327113584772
y[1] (numeric) = 1.3847913092583291481327113584771
absolute error = 1e-31
relative error = 7.2213047071734088320951143768930e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.277
y[1] (analytic) = 1.3853706667259411740076303707325
y[1] (numeric) = 1.3853706667259411740076303707324
absolute error = 1e-31
relative error = 7.2182847812369876406690206554263e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.278
y[1] (analytic) = 1.3859490367112154569629331586375
y[1] (numeric) = 1.3859490367112154569629331586374
absolute error = 1e-31
relative error = 7.2152725209358900675410450228364e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.279
y[1] (analytic) = 1.3865264189006721603947876675841
y[1] (numeric) = 1.386526418900672160394787667584
absolute error = 1e-31
relative error = 7.2122679118719186773319128598266e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.28
y[1] (analytic) = 1.3871028129847826296526190222595
y[1] (numeric) = 1.3871028129847826296526190222594
absolute error = 1e-31
relative error = 7.2092709396803062685618866883693e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=629.4MB, alloc=4.5MB, time=27.74
x[1] = 2.281
y[1] (analytic) = 1.3876782186579706301533154241278
y[1] (numeric) = 1.3876782186579706301533154241277
absolute error = 1e-31
relative error = 7.2062815900295974532231145294929e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.282
y[1] (analytic) = 1.388252635618613569685759048952
y[1] (numeric) = 1.3882526356186135696857590489518
absolute error = 2e-31
relative error = 1.4406599697243061191275674653386e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.283
y[1] (analytic) = 1.3888260635690437049007927278626
y[1] (numeric) = 1.3888260635690437049007927278624
absolute error = 2e-31
relative error = 1.4400651402381840218247575585801e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.284
y[1] (analytic) = 1.3893985022155493319817964537149
y[1] (numeric) = 1.3893985022155493319817964537148
absolute error = 1e-31
relative error = 7.1973591335055391089948070829815e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.285
y[1] (analytic) = 1.3899699512683759614911110320163
y[1] (numeric) = 1.3899699512683759614911110320161
absolute error = 2e-31
relative error = 1.4388800262732004840862741189482e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.286
y[1] (analytic) = 1.3905404104417274773876094922947
y[1] (numeric) = 1.3905404104417274773876094922945
absolute error = 2e-31
relative error = 1.4382897361211299879524700254070e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.287
y[1] (analytic) = 1.3911098794537672802107801911698
y[1] (numeric) = 1.3911098794537672802107801911696
absolute error = 2e-31
relative error = 1.4377009534180860695411893481435e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.288
y[1] (analytic) = 1.3916783580266194144267488723169
y[1] (numeric) = 1.3916783580266194144267488723167
absolute error = 2e-31
relative error = 1.4371136753437570346248614285311e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.289
y[1] (analytic) = 1.3922458458863696799317303007393
y[1] (numeric) = 1.3922458458863696799317303007391
absolute error = 2e-31
relative error = 1.4365278990843066411705772819842e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.29
y[1] (analytic) = 1.3928123427630667277084634590243
y[1] (numeric) = 1.3928123427630667277084634590241
absolute error = 2e-31
relative error = 1.4359436218323510514344283109316e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.291
y[1] (analytic) = 1.3933778483907231396312476813036
y[1] (numeric) = 1.3933778483907231396312476813034
absolute error = 2e-31
relative error = 1.4353608407869358532991267926534e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.292
y[1] (analytic) = 1.3939423625073164924152605062121
y[1] (numeric) = 1.3939423625073164924152605062119
absolute error = 2e-31
relative error = 1.4347795531535131505710168577481e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.293
y[1] (analytic) = 1.3945058848547904057059014529935
y[1] (numeric) = 1.3945058848547904057059014529932
absolute error = 3e-31
relative error = 2.1512996342158780829308083281229e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.294
y[1] (analytic) = 1.3950684151790555743039693647739
y[1] (numeric) = 1.3950684151790555743039693647736
absolute error = 3e-31
relative error = 2.1504321704645238726272383784881e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=633.2MB, alloc=4.5MB, time=27.92
TOP MAIN SOLVE Loop
x[1] = 2.295
y[1] (analytic) = 1.395629953229990784522544419672
y[1] (numeric) = 1.3956299532299907845225444196717
absolute error = 3e-31
relative error = 2.1495669343130094130285768217970e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.296
y[1] (analytic) = 1.3961904987614439146715093835706
y[1] (numeric) = 1.3961904987614439146715093835703
absolute error = 3e-31
relative error = 2.1487039216076103638266396126887e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.297
y[1] (analytic) = 1.3967500515312329196657081678008
y[1] (numeric) = 1.3967500515312329196657081678005
absolute error = 3e-31
relative error = 2.1478431282040418726429950886019e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.298
y[1] (analytic) = 1.3973086113011467997528032604158
y[1] (numeric) = 1.3973086113011467997528032604155
absolute error = 3e-31
relative error = 2.1469845499674248222739947683763e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.299
y[1] (analytic) = 1.3978661778369465533569571209171
y[1] (numeric) = 1.3978661778369465533569571209168
absolute error = 3e-31
relative error = 2.1461281827722521784476467935600e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.3
y[1] (analytic) = 1.3984227509083661140345261649772
y[1] (numeric) = 1.3984227509083661140345261649769
absolute error = 3e-31
relative error = 2.1452740225023554376817158834151e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.301
y[1] (analytic) = 1.3989783302891132715380195176333
y[1] (numeric) = 1.398978330289113271538019517633
absolute error = 3e-31
relative error = 2.1444220650508711748342999195729e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.302
y[1] (analytic) = 1.399532915756870576984638280344
y[1] (numeric) = 1.3995329157568705769846382803437
absolute error = 3e-31
relative error = 2.1435723063202076899399915976877e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.303
y[1] (analytic) = 1.4000865070932962321257746389589
y[1] (numeric) = 1.4000865070932962321257746389586
absolute error = 3e-31
relative error = 2.1427247422220117539265840271809e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.304
y[1] (analytic) = 1.4006391040840249627139137357916
y[1] (numeric) = 1.4006391040840249627139137357912
absolute error = 4e-31
relative error = 2.8558391582361806037454956958483e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.305
y[1] (analytic) = 1.4011907065186688759634448393508
y[1] (numeric) = 1.4011907065186688759634448393504
absolute error = 4e-31
relative error = 2.8547149088208041732799115327050e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.306
y[1] (analytic) = 1.401741314190818302101951969631
y[1] (numeric) = 1.4017413141908183021019519696307
absolute error = 3e-31
relative error = 2.1401951769765784260551106916171e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.307
y[1] (analytic) = 1.4022909268980426200086177749198
y[1] (numeric) = 1.4022909268980426200086177749195
absolute error = 3e-31
relative error = 2.1393563507083314162997120524577e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=637.0MB, alloc=4.5MB, time=28.10
x[1] = 2.308
y[1] (analytic) = 1.4028395444418910669364381076082
y[1] (numeric) = 1.4028395444418910669364381076079
absolute error = 3e-31
relative error = 2.1385196987682058445357933912457e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.309
y[1] (analytic) = 1.4033871666278935323150084112258
y[1] (numeric) = 1.4033871666278935323150084112255
absolute error = 3e-31
relative error = 2.1376852171225864538391563790152e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.31
y[1] (analytic) = 1.4039337932655613356307067086129
y[1] (numeric) = 1.4039337932655613356307067086125
absolute error = 4e-31
relative error = 2.8491372023291552176166860624317e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.311
y[1] (analytic) = 1.4044794241683879883811616715344
y[1] (numeric) = 1.4044794241683879883811616715341
absolute error = 3e-31
relative error = 2.1360227486254148399845597368667e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.312
y[1] (analytic) = 1.4050240591538499401009579548811
y[1] (numeric) = 1.4050240591538499401009579548807
absolute error = 4e-31
relative error = 2.8469263383353925567015933173138e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.313
y[1] (analytic) = 1.4055676980434073084555946936287
y[1] (numeric) = 1.4055676980434073084555946936283
absolute error = 4e-31
relative error = 2.8458252175033054771959650996789e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.314
y[1] (analytic) = 1.4061103406625045934007767876971
y[1] (numeric) = 1.4061103406625045934007767876968
absolute error = 3e-31
relative error = 2.1335452227643219590365526682789e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.315
y[1] (analytic) = 1.4066519868405713754041823384952
y[1] (numeric) = 1.4066519868405713754041823384948
absolute error = 4e-31
relative error = 2.8436315715760306748236299864741e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.316
y[1] (analytic) = 1.4071926364110229977269133510121
y[1] (numeric) = 1.4071926364110229977269133510118
absolute error = 3e-31
relative error = 2.1319042769093472666793379290897e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.317
y[1] (analytic) = 1.407732289211261232761900576564
y[1] (numeric) = 1.4077322892112612327619005765636
absolute error = 4e-31
relative error = 2.8414493513117904388789425833187e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.318
y[1] (analytic) = 1.4082709450826749324265971434622
y[1] (numeric) = 1.4082709450826749324265971434619
absolute error = 3e-31
relative error = 2.1302718844518090344487416305354e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.319
y[1] (analytic) = 1.4088086038706406626073594056991
y[1] (numeric) = 1.4088086038706406626073594056988
absolute error = 3e-31
relative error = 2.1294588858682647500929014768419e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.32
y[1] (analytic) = 1.4093452654245233216529772329707
y[1] (numeric) = 1.4093452654245233216529772329704
absolute error = 3e-31
relative error = 2.1286480137969167367606832647443e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=640.8MB, alloc=4.5MB, time=28.28
x[1] = 2.321
y[1] (analytic) = 1.4098809295976767429148797687419
y[1] (numeric) = 1.4098809295976767429148797687416
absolute error = 3e-31
relative error = 2.1278392643101281066131285059640e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.322
y[1] (analytic) = 1.410415596247444281331606496334
y[1] (numeric) = 1.4104155962474442813316064963337
absolute error = 3e-31
relative error = 2.1270326334888868731975281043276e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.323
y[1] (analytic) = 1.4109492652351593840551972759317
y[1] (numeric) = 1.4109492652351593840551972759314
absolute error = 3e-31
relative error = 2.1262281174227745924982062761599e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.324
y[1] (analytic) = 1.4114819364261461451172188477116
y[1] (numeric) = 1.4114819364261461451172188477112
absolute error = 4e-31
relative error = 2.8339009496132467930346145318095e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.325
y[1] (analytic) = 1.412013609689719844132209137724
y[1] (numeric) = 1.4120136096897198441322091377236
absolute error = 4e-31
relative error = 2.8328338852760577424399009681653e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.326
y[1] (analytic) = 1.4125442848991874690363845534712
y[1] (numeric) = 1.4125442848991874690363845534708
absolute error = 4e-31
relative error = 2.8317696250390322190897350439223e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.327
y[1] (analytic) = 1.4130739619318482228595193150478
y[1] (numeric) = 1.4130739619318482228595193150475
absolute error = 3e-31
relative error = 2.1230311228002716137680757809242e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.328
y[1] (analytic) = 1.4136026406689940145279697350035
y[1] (numeric) = 1.4136026406689940145279697350031
absolute error = 4e-31
relative error = 2.8296494962028236052447001538780e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.329
y[1] (analytic) = 1.4141303209959099336968802354835
y[1] (numeric) = 1.4141303209959099336968802354831
absolute error = 4e-31
relative error = 2.8285936173004023548119226125035e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.33
y[1] (analytic) = 1.4146570028018747096096717744581
y[1] (numeric) = 1.4146570028018747096096717744577
absolute error = 4e-31
relative error = 2.8275405218915862440969309277363e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.331
y[1] (analytic) = 1.4151826859801611539829772436973
y[1] (numeric) = 1.4151826859801611539829772436969
absolute error = 4e-31
relative error = 2.8264902048526576617138566250030e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.332
y[1] (analytic) = 1.4157073704280365879152522993402
y[1] (numeric) = 1.4157073704280365879152522993398
absolute error = 4e-31
relative error = 2.8254426610709861346593006985596e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.333
y[1] (analytic) = 1.416231056046763252817353991186
y[1] (numeric) = 1.4162310560467632528173539911855
absolute error = 5e-31
relative error = 3.5304973568062346314856338168731e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=644.7MB, alloc=4.5MB, time=28.47
x[1] = 2.334
y[1] (analytic) = 1.4167537427415987053634434689379
y[1] (numeric) = 1.4167537427415987053634434689375
absolute error = 4e-31
relative error = 2.8233558728840844239597484850642e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.335
y[1] (analytic) = 1.4172754304217961964606329623184
y[1] (numeric) = 1.4172754304217961964606329623179
absolute error = 5e-31
relative error = 3.5278957728858299487257828950789e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.336
y[1] (analytic) = 1.4177961190006050342358611569701
y[1] (numeric) = 1.4177961190006050342358611569696
absolute error = 5e-31
relative error = 3.5266001458125491498651721584910e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.337
y[1] (analytic) = 1.4183158083952709310385450191281
y[1] (numeric) = 1.4183158083952709310385450191276
absolute error = 5e-31
relative error = 3.5253079535630108714106363984007e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.338
y[1] (analytic) = 1.418834498527036334457620058916
y[1] (numeric) = 1.4188344985270363344576200589156
absolute error = 4e-31
relative error = 2.8192153518628154154929296038893e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.339
y[1] (analytic) = 1.4193521893211407423516449645485
y[1] (numeric) = 1.4193521893211407423516449645481
absolute error = 4e-31
relative error = 2.8181870786511080016914459571467e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.34
y[1] (analytic) = 1.4198688807068210018907104874399
y[1] (numeric) = 1.4198688807068210018907104874395
absolute error = 4e-31
relative error = 2.8171615381899003653693991580274e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.341
y[1] (analytic) = 1.4203845726173115926089564109836
y[1] (numeric) = 1.4203845726173115926089564109832
absolute error = 4e-31
relative error = 2.8161387254645320931968930333627e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.342
y[1] (analytic) = 1.4208992649898448934665643933107
y[1] (numeric) = 1.4208992649898448934665643933103
absolute error = 4e-31
relative error = 2.8151186354710288555518875401572e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.343
y[1] (analytic) = 1.4214129577656514339201584364134
y[1] (numeric) = 1.4214129577656514339201584364129
absolute error = 5e-31
relative error = 3.5176265790200786566895036879108e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.344
y[1] (analytic) = 1.4219256508899601290006087003649
y[1] (numeric) = 1.4219256508899601290006087003644
absolute error = 5e-31
relative error = 3.5163582546461422607312583296704e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.345
y[1] (analytic) = 1.4224373443119984983972983517357
y[1] (numeric) = 1.4224373443119984983972983517352
absolute error = 5e-31
relative error = 3.5150933150017862326265395404692e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.346
y[1] (analytic) = 1.4229480379849928695479771094293
y[1] (numeric) = 1.4229480379849928695479771094288
absolute error = 5e-31
relative error = 3.5138317538849809577635555941860e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.347
y[1] (analytic) = 1.423457731866168564733389128795
y[1] (numeric) = 1.4234577318661685647333891287944
absolute error = 6e-31
relative error = 4.2150882781281708714884135243815e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=648.5MB, alloc=4.5MB, time=28.65
TOP MAIN SOLVE Loop
x[1] = 2.348
y[1] (analytic) = 1.4239664259167500721759268457549
y[1] (numeric) = 1.4239664259167500721759268457544
absolute error = 5e-31
relative error = 3.5113187424914167406638882042516e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.349
y[1] (analytic) = 1.4244741201019612011416263865594
y[1] (numeric) = 1.4244741201019612011416263865589
absolute error = 5e-31
relative error = 3.5100672798759652608191472833100e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.35
y[1] (analytic) = 1.4249808143910252210448841353937
y[1] (numeric) = 1.4249808143910252210448841353933
absolute error = 4e-31
relative error = 2.8070553368884660410648629702485e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.351
y[1] (analytic) = 1.4254865087571649845553380411578
y[1] (numeric) = 1.4254865087571649845553380411573
absolute error = 5e-31
relative error = 3.5075744100583149651118949827879e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.352
y[1] (analytic) = 1.4259912031776030347064212360556
y[1] (numeric) = 1.4259912031776030347064212360551
absolute error = 5e-31
relative error = 3.5063329905950791620550217308109e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.353
y[1] (analytic) = 1.4264948976335616960051595319243
y[1] (numeric) = 1.4264948976335616960051595319238
absolute error = 5e-31
relative error = 3.5050949066096141291063914779566e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.354
y[1] (analytic) = 1.4269975921102631495428483552336
y[1] (numeric) = 1.4269975921102631495428483552332
absolute error = 4e-31
relative error = 2.8030881216027466676103083774462e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.355
y[1] (analytic) = 1.4274992865969294921063086781484
y[1] (numeric) = 1.427499286596929492106308678148
absolute error = 4e-31
relative error = 2.8021029765526216125735195681669e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.356
y[1] (analytic) = 1.4279999810867827792894855007086
y[1] (numeric) = 1.4279999810867827792894855007082
absolute error = 4e-31
relative error = 2.8011204852788516802947974934386e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.357
y[1] (analytic) = 1.4284996755770450526052164377917
y[1] (numeric) = 1.4284996755770450526052164377913
absolute error = 4e-31
relative error = 2.8001406429330778079432727477265e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.358
y[1] (analytic) = 1.4289983700689383505970619638179
y[1] (numeric) = 1.4289983700689383505970619638175
absolute error = 4e-31
relative error = 2.7991634446770084762744528038779e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.359
y[1] (analytic) = 1.4294960645676847039511528678926
y[1] (numeric) = 1.4294960645676847039511528678923
absolute error = 3e-31
relative error = 2.0986416642617864725537243552966e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.36
y[1] (analytic) = 1.4299927590825061146080744719904
y[1] (numeric) = 1.4299927590825061146080744719901
absolute error = 3e-31
relative error = 2.0979127208481965275573548205577e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=652.3MB, alloc=4.5MB, time=28.83
x[1] = 2.361
y[1] (analytic) = 1.430488453626624518874871164614
y[1] (numeric) = 1.4304884536266245188748711646137
absolute error = 3e-31
relative error = 2.0971857496607503119968185671255e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.362
y[1] (analytic) = 1.4309831482172617345373188018635
y[1] (numeric) = 1.4309831482172617345373188018631
absolute error = 4e-31
relative error = 2.7952809961341993401732775115376e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.363
y[1] (analytic) = 1.4314768428756393919726765267528
y[1] (numeric) = 1.4314768428756393919726765267525
absolute error = 3e-31
relative error = 2.0957377095765056786382987977904e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.364
y[1] (analytic) = 1.4319695376269788492631935556773
y[1] (numeric) = 1.431969537626978849263193555677
absolute error = 3e-31
relative error = 2.0950166335043123769596060285341e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.365
y[1] (analytic) = 1.4324612325005010913107104778894
y[1] (numeric) = 1.4324612325005010913107104778891
absolute error = 3e-31
relative error = 2.0942975153074172747031301659653e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.366
y[1] (analytic) = 1.4329519275294266129527586094442
y[1] (numeric) = 1.4329519275294266129527586094439
absolute error = 3e-31
relative error = 2.0935803514164944108450326671525e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.367
y[1] (analytic) = 1.4334416227509752860806249370618
y[1] (numeric) = 1.4334416227509752860806249370614
absolute error = 4e-31
relative error = 2.7904868510260219992038928732668e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.368
y[1] (analytic) = 1.433930318206366210759914179468
y[1] (numeric) = 1.4339303182063662107599141794676
absolute error = 4e-31
relative error = 2.7895358297489697550531127197248e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.369
y[1] (analytic) = 1.4344180139408175503542034837689
y[1] (numeric) = 1.4344180139408175503542034837685
absolute error = 4e-31
relative error = 2.7885873999941522160659762475262e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.37
y[1] (analytic) = 1.4349047100035463506524492620182
y[1] (numeric) = 1.4349047100035463506524492620178
absolute error = 4e-31
relative error = 2.7876415570411738669011633228205e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.371
y[1] (analytic) = 1.4353904064477683430008696581107
y[1] (numeric) = 1.4353904064477683430008696581103
absolute error = 4e-31
relative error = 2.7866982961792240942959751965181e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.372
y[1] (analytic) = 1.4358751033306977314400901172089
y[1] (numeric) = 1.4358751033306977314400901172085
absolute error = 4e-31
relative error = 2.7857576127070407718712429368767e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.373
y[1] (analytic) = 1.4363588007135469638484035088361
y[1] (numeric) = 1.4363588007135469638484035088357
absolute error = 4e-31
relative error = 2.7848195019328739445394664133342e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=656.1MB, alloc=4.5MB, time=29.01
x[1] = 2.374
y[1] (analytic) = 1.4368414986615264870920602302915
y[1] (numeric) = 1.4368414986615264870920602302911
absolute error = 4e-31
relative error = 2.7838839591744496121279133111063e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.375
y[1] (analytic) = 1.4373231972438444861835676888993
y[1] (numeric) = 1.4373231972438444861835676888989
absolute error = 4e-31
relative error = 2.7829509797589336118302601567494e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.376
y[1] (analytic) = 1.4378038965337066074490425295469
y[1] (numeric) = 1.4378038965337066074490425295465
absolute error = 4e-31
relative error = 2.7820205590228955991022030207469e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.377
y[1] (analytic) = 1.4382835966083156657057229377338
y[1] (numeric) = 1.4382835966083156657057229377334
absolute error = 4e-31
relative error = 2.7810926923122731266183044754624e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.378
y[1] (analytic) = 1.4387622975488713354508123076913
y[1] (numeric) = 1.438762297548871335450812307691
absolute error = 3e-31
relative error = 2.0851255312367518656818816748967e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.379
y[1] (analytic) = 1.4392399994405698260628895197876
y[1] (numeric) = 1.4392399994405698260628895197873
absolute error = 3e-31
relative error = 2.0844334517982372422249377827870e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.38
y[1] (analytic) = 1.4397167023726035410171850211424
y[1] (numeric) = 1.4397167023726035410171850211421
absolute error = 3e-31
relative error = 2.0837432774490309943294222006017e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.381
y[1] (analytic) = 1.4401924064381607211160858478943
y[1] (numeric) = 1.440192406438160721116085847894
absolute error = 3e-31
relative error = 2.0830550047264220312828113249951e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.382
y[1] (analytic) = 1.4406671117344250717362966666238
y[1] (numeric) = 1.4406671117344250717362966666235
absolute error = 3e-31
relative error = 2.0823686301745915746129723088676e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.383
y[1] (analytic) = 1.441140818362575374094147845791
y[1] (numeric) = 1.4411408183625753740941478457907
absolute error = 3e-31
relative error = 2.0816841503445866526299119696262e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.384
y[1] (analytic) = 1.4416135264277850805306054954379
y[1] (numeric) = 1.4416135264277850805306054954376
absolute error = 3e-31
relative error = 2.0810015617942936665422992678079e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.385
y[1] (analytic) = 1.4420852360392218938176023345749
y[1] (numeric) = 1.4420852360392218938176023345746
absolute error = 3e-31
relative error = 2.0803208610884120278725655348240e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.386
y[1] (analytic) = 1.4425559473100473304873721603678
y[1] (numeric) = 1.4425559473100473304873721603675
absolute error = 3e-31
relative error = 2.0796420447984278668957214562066e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.387
y[1] (analytic) = 1.4430256603574162681865346012043
y[1] (numeric) = 1.443025660357416268186534601204
absolute error = 3e-31
relative error = 2.0789651095025878118283598646023e-29 %
Correct digits = 30
h = 0.001
memory used=659.9MB, alloc=4.5MB, time=29.19
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.388
y[1] (analytic) = 1.4434943753024764770567407366984
y[1] (numeric) = 1.4434943753024764770567407366981
absolute error = 3e-31
relative error = 2.0782900517858728384956386940064e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.389
y[1] (analytic) = 1.4439620922703681351437540614244
y[1] (numeric) = 1.4439620922703681351437540614242
absolute error = 2e-31
relative error = 1.3850779121599814601369060149302e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.39
y[1] (analytic) = 1.4444288113902233278369051554119
y[1] (numeric) = 1.4444288113902233278369051554117
absolute error = 2e-31
relative error = 1.3846303703088382450397126752302e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.391
y[1] (analytic) = 1.4448945327951655313409223029139
y[1] (numeric) = 1.4448945327951655313409223029137
absolute error = 2e-31
relative error = 1.3841840733738374586236238547510e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.392
y[1] (analytic) = 1.4453592566223090801822041714384
y[1] (numeric) = 1.4453592566223090801822041714382
absolute error = 2e-31
relative error = 1.3837390190960846095789558727878e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.393
y[1] (analytic) = 1.4458229830127586187516645252423
y[1] (numeric) = 1.4458229830127586187516645252421
absolute error = 2e-31
relative error = 1.3832952052210883023814669814964e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.394
y[1] (analytic) = 1.4462857121116085368863428011769
y[1] (numeric) = 1.4462857121116085368863428011767
absolute error = 2e-31
relative error = 1.3828526294987430818871378005743e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.395
y[1] (analytic) = 1.4467474440679423894920382196907
y[1] (numeric) = 1.4467474440679423894920382196905
absolute error = 2e-31
relative error = 1.3824112896833123236664557172294e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.396
y[1] (analytic) = 1.4472081790348323002092889396794
y[1] (numeric) = 1.4472081790348323002092889396793
absolute error = 1e-31
relative error = 6.9098559176670558495184467805491e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.397
y[1] (analytic) = 1.4476679171693383491250815924711
y[1] (numeric) = 1.4476679171693383491250815924709
absolute error = 2e-31
relative error = 1.3815323088119895106874951098460e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.398
y[1] (analytic) = 1.4481266586325079445327403472913
y[1] (numeric) = 1.4481266586325079445327403472911
absolute error = 2e-31
relative error = 1.3810946632863150105200506286090e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.399
y[1] (analytic) = 1.4485844035893751787425084678162
y[1] (numeric) = 1.448584403589375178742508467816
absolute error = 2e-31
relative error = 1.3806582447279561798727601149248e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.4
y[1] (analytic) = 1.4490411522089601679453991166259
y[1] (numeric) = 1.4490411522089601679453991166257
absolute error = 2e-31
relative error = 1.3802230509127654916174232761611e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=663.7MB, alloc=4.5MB, time=29.37
x[1] = 2.401
y[1] (analytic) = 1.4494969046642683761329559512773
y[1] (numeric) = 1.4494969046642683761329559512771
absolute error = 2e-31
relative error = 1.3797890796208625421626038697323e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.402
y[1] (analytic) = 1.4499516611322899230756278320501
y[1] (numeric) = 1.4499516611322899230756278320499
absolute error = 2e-31
relative error = 1.3793563286366172571257749532072e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.403
y[1] (analytic) = 1.4504054217939988763625257269468
y[1] (numeric) = 1.4504054217939988763625257269466
absolute error = 2e-31
relative error = 1.3789247957486331413726562410787e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.404
y[1] (analytic) = 1.4508581868343525275053936539731
y[1] (numeric) = 1.4508581868343525275053936539729
absolute error = 2e-31
relative error = 1.3784944787497305732559943898181e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.405
y[1] (analytic) = 1.451309956442290652109689243851
y[1] (numeric) = 1.4513099564422906521096892438508
absolute error = 2e-31
relative error = 1.3780653754369301428868696007314e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.406
y[1] (analytic) = 1.4517607308107347541157332378556
y[1] (numeric) = 1.4517607308107347541157332378554
absolute error = 2e-31
relative error = 1.3776374836114360342724416637153e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.407
y[1] (analytic) = 1.4522105101365872941129509551697
y[1] (numeric) = 1.4522105101365872941129509551695
absolute error = 2e-31
relative error = 1.3772108010786194511548754818330e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.408
y[1] (analytic) = 1.4526592946207309017302924717616
y[1] (numeric) = 1.4526592946207309017302924717614
absolute error = 2e-31
relative error = 1.3767853256480020863870102341524e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.409
y[1] (analytic) = 1.4531070844680275721059819480554
y[1] (numeric) = 1.4531070844680275721059819480552
absolute error = 2e-31
relative error = 1.3763610551332396346811576698881e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.41
y[1] (analytic) = 1.4535538798873178464398102253246
y[1] (numeric) = 1.4535538798873178464398102253244
absolute error = 2e-31
relative error = 1.3759379873521053485682335978227e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.411
y[1] (analytic) = 1.4539996810914199766312484805466
y[1] (numeric) = 1.4539996810914199766312484805464
absolute error = 2e-31
relative error = 1.3755161201264736374052424584449e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.412
y[1] (analytic) = 1.4544444882971290740067243861495
y[1] (numeric) = 1.4544444882971290740067243861493
absolute error = 2e-31
relative error = 1.3750954512823037092699479593139e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.413
y[1] (analytic) = 1.4548883017252162421394658644112
y[1] (numeric) = 1.4548883017252162421394658644109
absolute error = 3e-31
relative error = 2.0620139679744348833735597007420e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=667.5MB, alloc=4.5MB, time=29.56
x[1] = 2.414
y[1] (analytic) = 1.4553311216004276937653811559796
y[1] (numeric) = 1.4553311216004276937653811559794
absolute error = 2e-31
relative error = 1.3742577000625121782935808667525e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.415
y[1] (analytic) = 1.4557729481514838517985075378174
y[1] (numeric) = 1.4557729481514838517985075378171
absolute error = 3e-31
relative error = 2.0607609200386295392244864000217e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.416
y[1] (analytic) = 1.4562137816110784344496246275753
y[1] (numeric) = 1.4562137816110784344496246275751
absolute error = 2e-31
relative error = 1.3734247163814814732062919394576e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.417
y[1] (analytic) = 1.456653622215877524451691798724
y[1] (numeric) = 1.4566536222158775244516917987238
absolute error = 2e-31
relative error = 1.3730100069758368394368062440842e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.418
y[1] (analytic) = 1.4570924702065186223958328034508
y[1] (numeric) = 1.4570924702065186223958328034506
absolute error = 2e-31
relative error = 1.3725964829922793199439630103480e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.419
y[1] (analytic) = 1.4575303258276096841816542581233
y[1] (numeric) = 1.4575303258276096841816542581231
absolute error = 2e-31
relative error = 1.3721841422849072559533289817183e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.42
y[1] (analytic) = 1.4579671893277281425857481887601
y[1] (numeric) = 1.4579671893277281425857481887599
absolute error = 2e-31
relative error = 1.3717729827117744474334384343996e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.421
y[1] (analytic) = 1.458403060959419912952292361196
y[1] (numeric) = 1.4584030609594199129522923611957
absolute error = 3e-31
relative error = 2.0570445032023112607831795449901e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.422
y[1] (analytic) = 1.4588379409791983830097256322126
y[1] (numeric) = 1.4588379409791983830097256322123
absolute error = 3e-31
relative error = 2.0564312976301848844087035018603e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.423
y[1] (analytic) = 1.4592718296475433868175390535882
y[1] (numeric) = 1.4592718296475433868175390535879
absolute error = 3e-31
relative error = 2.0558198541560192408491098957444e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.424
y[1] (analytic) = 1.4597047272289001628472869405323
y[1] (numeric) = 1.459704727228900162847286940532
absolute error = 3e-31
relative error = 2.0552101695903887125627975124782e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.425
y[1] (analytic) = 1.4601366339916782962019855790728
y[1] (numeric) = 1.4601366339916782962019855790725
absolute error = 3e-31
relative error = 2.0546022407496816433346576559958e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.426
y[1] (analytic) = 1.4605675502082506449781306933897
y[1] (numeric) = 1.4605675502082506449781306933894
absolute error = 3e-31
relative error = 2.0539960644560766770386483853809e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=671.4MB, alloc=4.5MB, time=29.74
x[1] = 2.427
y[1] (analytic) = 1.460997476154952250774628223595
y[1] (numeric) = 1.4609974761549522507746282235947
absolute error = 3e-31
relative error = 2.0533916375375191572485384845632e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.428
y[1] (analytic) = 1.4614264121120792333529963767815
y[1] (numeric) = 1.4614264121120792333529963767812
absolute error = 3e-31
relative error = 2.0527889568276975874740482500481e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.429
y[1] (analytic) = 1.46185435836388766945326030906
y[1] (numeric) = 1.4618543583638876694532603090597
absolute error = 3e-31
relative error = 2.0521880191660201518007679853548e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.43
y[1] (analytic) = 1.4622813151985924557700241735107
y[1] (numeric) = 1.4622813151985924557700241735104
absolute error = 3e-31
relative error = 2.0515888213975912957133852366275e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.431
y[1] (analytic) = 1.4627072829083661560932686282438
y[1] (numeric) = 1.4627072829083661560932686282435
absolute error = 3e-31
relative error = 2.0509913603731883668828983152548e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.432
y[1] (analytic) = 1.4631322617893378326184852398438
y[1] (numeric) = 1.4631322617893378326184852398434
absolute error = 4e-31
relative error = 2.7338608439323177542661820709819e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.433
y[1] (analytic) = 1.4635562521415918614308225400997
y[1] (numeric) = 1.4635562521415918614308225400993
absolute error = 4e-31
relative error = 2.7330688479837259404467293977454e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.434
y[1] (analytic) = 1.4639792542691667321679817978594
y[1] (numeric) = 1.463979254269166732167981797859
absolute error = 4e-31
relative error = 2.7322791551420177081551245348967e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.435
y[1] (analytic) = 1.4644012684800538318666638528231
y[1] (numeric) = 1.4644012684800538318666638528228
absolute error = 3e-31
relative error = 2.0486188209286313489992441491209e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.436
y[1] (analytic) = 1.4648222950861962129974316238683
y[1] (numeric) = 1.464822295086196212997431623868
absolute error = 3e-31
relative error = 2.0480299965829422129251572814218e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.437
y[1] (analytic) = 1.4652423344034873456929161508122
y[1] (numeric) = 1.4652423344034873456929161508119
absolute error = 3e-31
relative error = 2.0474428902037734208502924042268e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.438
y[1] (analytic) = 1.465661386751769854174357255125
y[1] (numeric) = 1.4656613867517698541743572551247
absolute error = 3e-31
relative error = 2.0468574986809635692353038288167e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.439
y[1] (analytic) = 1.4660794524548342373815331117462
y[1] (numeric) = 1.4660794524548342373815331117459
absolute error = 3e-31
relative error = 2.0462738189098394157851861086689e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.44
y[1] (analytic) = 1.4664965318404175738111962105796
y[1] (numeric) = 1.4664965318404175738111962105793
absolute error = 3e-31
relative error = 2.0456918477911930502302583701163e-29 %
Correct digits = 30
h = 0.001
memory used=675.2MB, alloc=4.5MB, time=29.92
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.441
y[1] (analytic) = 1.4669126252402022105691963521962
y[1] (numeric) = 1.4669126252402022105691963521959
absolute error = 3e-31
relative error = 2.0451115822312591229401851900667e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.442
y[1] (analytic) = 1.4673277329898144366415344675055
y[1] (numeric) = 1.4673277329898144366415344675053
absolute error = 2e-31
relative error = 1.3630220127611280874427265293785e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.443
y[1] (analytic) = 1.4677418554288231403896541754112
y[1] (numeric) = 1.467741855428823140389654175411
absolute error = 2e-31
relative error = 1.3626374369596958417939466670003e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.444
y[1] (analytic) = 1.4681549929007384512753410954936
y[1] (numeric) = 1.4681549929007384512753410954934
absolute error = 2e-31
relative error = 1.3622539920314935311502190955522e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.445
y[1] (analytic) = 1.4685671457530103658206630143122
y[1] (numeric) = 1.4685671457530103658206630143121
absolute error = 1e-31
relative error = 6.8093583796418668725847606264027e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.446
y[1] (analytic) = 1.4689783143370273578084470637352
y[1] (numeric) = 1.468978314337027357808447063735
absolute error = 2e-31
relative error = 1.3614904866057406335665826221596e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.447
y[1] (analytic) = 1.4693884990081149727288531075328
y[1] (numeric) = 1.4693884990081149727288531075326
absolute error = 2e-31
relative error = 1.3611104220225386601752143934654e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.448
y[1] (analytic) = 1.4697977001255344064776655480692
y[1] (numeric) = 1.469797700125534406477665548069
absolute error = 2e-31
relative error = 1.3607314801412339815642621074864e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.449
y[1] (analytic) = 1.4702059180524810683119887580288
y[1] (numeric) = 1.4702059180524810683119887580286
absolute error = 2e-31
relative error = 1.3603536589278014229142466272570e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.45
y[1] (analytic) = 1.4706131531560831280690943124796
y[1] (numeric) = 1.4706131531560831280690943124794
absolute error = 2e-31
relative error = 1.3599769563517092673186087549042e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.451
y[1] (analytic) = 1.4710194058074000476542311439484
y[1] (numeric) = 1.4710194058074000476542311439482
absolute error = 2e-31
relative error = 1.3596013703859044529461273671590e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.452
y[1] (analytic) = 1.4714246763814210968032726673081
y[1] (numeric) = 1.4714246763814210968032726673079
absolute error = 2e-31
relative error = 1.3592268990067978072812447874527e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.453
y[1] (analytic) = 1.4718289652570638531261378219105
y[1] (numeric) = 1.4718289652570638531261378219103
absolute error = 2e-31
relative error = 1.3588535401942493183123169993713e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=679.0MB, alloc=4.5MB, time=30.10
x[1] = 2.454
y[1] (analytic) = 1.4722322728171726864369858552798
y[1] (numeric) = 1.4722322728171726864369858552796
absolute error = 2e-31
relative error = 1.3584812919315534425385189735685e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.455
y[1] (analytic) = 1.4726345994485172273772475255674
y[1] (numeric) = 1.4726345994485172273772475255673
absolute error = 1e-31
relative error = 6.7905507610271222483342298448536e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.456
y[1] (analytic) = 1.4730359455417908203376182286012
y[1] (numeric) = 1.4730359455417908203376182286011
absolute error = 1e-31
relative error = 6.7887005950299090193568009628437e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.457
y[1] (analytic) = 1.4734363114916089606852013594934
y[1] (numeric) = 1.4734363114916089606852013594933
absolute error = 1e-31
relative error = 6.7868559516336779074376933678027e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.458
y[1] (analytic) = 1.4738356976965077163020529981506
y[1] (numeric) = 1.4738356976965077163020529981505
absolute error = 1e-31
relative error = 6.7850168208228596250764132012455e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.459
y[1] (analytic) = 1.4742341045589421334414417624028
y[1] (numeric) = 1.4742341045589421334414417624027
absolute error = 1e-31
relative error = 6.7831831925986926665242554751804e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.46
y[1] (analytic) = 1.4746315324852846269082004015853
y[1] (numeric) = 1.4746315324852846269082004015852
absolute error = 1e-31
relative error = 6.7813550569791509390034083854971e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.461
y[1] (analytic) = 1.4750279818858233545696084070222
y[1] (numeric) = 1.4750279818858233545696084070221
absolute error = 1e-31
relative error = 6.7795324039988715735938014842762e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.462
y[1] (analytic) = 1.4754234531747605762033075937126
y[1] (numeric) = 1.4754234531747605762033075937125
absolute error = 1e-31
relative error = 6.7777152237090829151694871698042e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.463
y[1] (analytic) = 1.4758179467702109966888152593691
y[1] (numeric) = 1.475817946770210996688815259369
absolute error = 1e-31
relative error = 6.7759035061775326907698171210285e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.464
y[1] (analytic) = 1.476211463094200093549262152548
y[1] (numeric) = 1.4762114630942000935492621525478
absolute error = 2e-31
relative error = 1.3548194482976832711588275328861e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.465
y[1] (analytic) = 1.4766040025726624288500450806873
y[1] (numeric) = 1.4766040025726624288500450806871
absolute error = 2e-31
relative error = 1.3544592839484611234824361358133e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.466
y[1] (analytic) = 1.4769955656354399454611465611938
y[1] (numeric) = 1.4769955656354399454611465611936
absolute error = 2e-31
relative error = 1.3541002062112154269171539165255e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=682.8MB, alloc=4.5MB, time=30.28
x[1] = 2.467
y[1] (analytic) = 1.4773861527162802476899364640267
y[1] (numeric) = 1.4773861527162802476899364640265
absolute error = 2e-31
relative error = 1.3537422131125682788201786520629e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.468
y[1] (analytic) = 1.4777757642528348662913331122803
y[1] (numeric) = 1.4777757642528348662913331122801
absolute error = 2e-31
relative error = 1.3533853026823743524025249122326e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.469
y[1] (analytic) = 1.4781644006866575078622637978071
y[1] (numeric) = 1.4781644006866575078622637978069
absolute error = 2e-31
relative error = 1.3530294729537067419817548509812e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.47
y[1] (analytic) = 1.4785520624632022886274271317058
y[1] (numeric) = 1.4785520624632022886274271317055
absolute error = 3e-31
relative error = 2.0290120829442642646204728533617e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.471
y[1] (analytic) = 1.4789387500318219526234220842689
y[1] (numeric) = 1.4789387500318219526234220842686
absolute error = 3e-31
relative error = 2.0284815716238754008780284279227e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.472
y[1] (analytic) = 1.4793244638457660742883709754995
y[1] (numeric) = 1.4793244638457660742883709754992
absolute error = 3e-31
relative error = 2.0279526725333591872798296824334e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.473
y[1] (analytic) = 1.4797092043621792454642260553069
y[1] (numeric) = 1.4797092043621792454642260553066
absolute error = 3e-31
relative error = 2.0274253827414245134638570185105e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.474
y[1] (analytic) = 1.4800929720420992468190116617391
y[1] (numeric) = 1.4800929720420992468190116617388
absolute error = 3e-31
relative error = 2.0268996993215025206409016996360e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.475
y[1] (analytic) = 1.4804757673504552036963162658443
y[1] (numeric) = 1.480475767350455203696316265844
absolute error = 3e-31
relative error = 2.0263756193517256804615039293572e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.476
y[1] (analytic) = 1.4808575907560657263994110027347
y[1] (numeric) = 1.4808575907560657263994110027344
absolute error = 3e-31
relative error = 2.0258531399149069251093268755425e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.477
y[1] (analytic) = 1.4812384427316370349174335498992
y[1] (numeric) = 1.4812384427316370349174335498988
absolute error = 4e-31
relative error = 2.7004430107980251046011037308166e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.478
y[1] (analytic) = 1.4816183237537610681011384455282
y[1] (numeric) = 1.4816183237537610681011384455279
absolute error = 3e-31
relative error = 2.0248129709946728380720868979780e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.479
y[1] (analytic) = 1.4819972343029135772957771413301
y[1] (numeric) = 1.4819972343029135772957771413298
absolute error = 3e-31
relative error = 2.0242952757000985580346512959002e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=686.6MB, alloc=4.5MB, time=30.46
x[1] = 2.48
y[1] (analytic) = 1.4823751748634522044387332557742
y[1] (numeric) = 1.4823751748634522044387332557739
absolute error = 3e-31
relative error = 2.0237791693161230821832456889429e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.481
y[1] (analytic) = 1.4827521459236145446296006346599
y[1] (numeric) = 1.4827521459236145446296006346596
absolute error = 3e-31
relative error = 2.0232646489486503778391927362841e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.482
y[1] (analytic) = 1.4831281479755161931804539361145
y[1] (numeric) = 1.4831281479755161931804539361143
absolute error = 2e-31
relative error = 1.3485011411387604798095834083202e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.483
y[1] (analytic) = 1.4835031815151487771541235363345
y[1] (numeric) = 1.4835031815151487771541235363342
absolute error = 3e-31
relative error = 2.0222403547095901738815574517919e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.484
y[1] (analytic) = 1.4838772470423779713983486003446
y[1] (numeric) = 1.4838772470423779713983486003443
absolute error = 3e-31
relative error = 2.0217305750725101316378701087329e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.485
y[1] (analytic) = 1.4842503450609414990837441785195
y[1] (numeric) = 1.4842503450609414990837441785192
absolute error = 3e-31
relative error = 2.0212223699209068930992377943633e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.486
y[1] (analytic) = 1.484622476078447116753580174331
y[1] (numeric) = 1.4846224760784471167535801743307
absolute error = 3e-31
relative error = 2.0207157363832613003645147316326e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.487
y[1] (analytic) = 1.4849936406063705838934319815206
y[1] (numeric) = 1.4849936406063705838934319815203
absolute error = 3e-31
relative error = 2.0202106715925084200890640228387e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.488
y[1] (analytic) = 1.4853638391600536170288245093863
y[1] (numeric) = 1.485363839160053617028824509386
absolute error = 3e-31
relative error = 2.0197071726860172753084924544240e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.489
y[1] (analytic) = 1.4857330722587018283590532028798
y[1] (numeric) = 1.4857330722587018283590532028795
absolute error = 3e-31
relative error = 2.0192052368055706263542229952005e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.49
y[1] (analytic) = 1.4861013404253826489354275194822
y[1] (numeric) = 1.486101340425382648935427519482
absolute error = 2e-31
relative error = 1.3458032407315632004690371932620e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.491
y[1] (analytic) = 1.4864686441870232363922441471147
y[1] (numeric) = 1.4864686441870232363922441471145
absolute error = 2e-31
relative error = 1.3454706951412597144052230178170e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.492
y[1] (analytic) = 1.4868349840744083672388590364014
y[1] (numeric) = 1.4868349840744083672388590364012
absolute error = 2e-31
relative error = 1.3451391858694053902288657877649e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.493
y[1] (analytic) = 1.4872003606221783137212890761865
y[1] (numeric) = 1.4872003606221783137212890761864
absolute error = 1e-31
relative error = 6.7240435551107894564338777619675e-30 %
Correct digits = 31
memory used=690.4MB, alloc=4.5MB, time=30.65
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.494
y[1] (analytic) = 1.4875647743688267052618359630685
y[1] (numeric) = 1.4875647743688267052618359630683
absolute error = 2e-31
relative error = 1.3444792687085504627776179804454e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.495
y[1] (analytic) = 1.4879282258566983744852865036028
y[1] (numeric) = 1.4879282258566983744852865036026
absolute error = 2e-31
relative error = 1.3441508570404786465492428047675e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.496
y[1] (analytic) = 1.4882907156319871878403052415023
y[1] (numeric) = 1.4882907156319871878403052415021
absolute error = 2e-31
relative error = 1.3438234741326870279030760139605e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.497
y[1] (analytic) = 1.4886522442447338608246969213702
y[1] (numeric) = 1.48865224424473386082469692137
absolute error = 2e-31
relative error = 1.3434971181027560143051507110829e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.498
y[1] (analytic) = 1.4890128122488237578232778850042
y[1] (numeric) = 1.4890128122488237578232778850041
absolute error = 1e-31
relative error = 6.7158589353554432295199219178677e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.499
y[1] (analytic) = 1.4893724202019846765671570458518
y[1] (numeric) = 1.4893724202019846765671570458517
absolute error = 1e-31
relative error = 6.7142373958044871887807079503163e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.5
y[1] (analytic) = 1.489731068665784617223288601539
y[1] (numeric) = 1.4897310686657846172232886015389
absolute error = 1e-31
relative error = 6.7126209624909562683047538937189e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.501
y[1] (analytic) = 1.4900887582056295361232201232872
y[1] (numeric) = 1.4900887582056295361232201232871
absolute error = 1e-31
relative error = 6.7110096260588110575323605924577e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.502
y[1] (analytic) = 1.4904454893907610841400211042312
y[1] (numeric) = 1.4904454893907610841400211042311
absolute error = 1e-31
relative error = 6.7094033771658631001471992898813e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.503
y[1] (analytic) = 1.4908012627942543297224384559073
y[1] (numeric) = 1.4908012627942543297224384559073
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.504
y[1] (analytic) = 1.4911560789930154665953868132558
y[1] (numeric) = 1.4911560789930154665953868132557
absolute error = 1e-31
relative error = 6.7062061046976690899145519613757e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.505
y[1] (analytic) = 1.4915099385677795061359428431172
y[1] (numeric) = 1.4915099385677795061359428431171
absolute error = 1e-31
relative error = 6.7046150625067152391835646395875e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.506
y[1] (analytic) = 1.4918628421031079544340740491717
y[1] (numeric) = 1.4918628421031079544340740491717
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=694.3MB, alloc=4.5MB, time=30.83
x[1] = 2.507
y[1] (analytic) = 1.4922147901873864740473938273064
y[1] (numeric) = 1.4922147901873864740473938273064
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.508
y[1] (analytic) = 1.4925657834128225304592957492736
y[1] (numeric) = 1.4925657834128225304592957492736
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.509
y[1] (analytic) = 1.4929158223754430232498812389656
y[1] (numeric) = 1.4929158223754430232498812389655
absolute error = 1e-31
relative error = 6.6983013041475887765976178412476e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.51
y[1] (analytic) = 1.4932649076750919019891559544354
y[1] (numeric) = 1.4932649076750919019891559544354
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.511
y[1] (analytic) = 1.4936130399154277668620312997008
y[1] (numeric) = 1.4936130399154277668620312997008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.512
y[1] (analytic) = 1.4939602197039214540347285631244
y[1] (numeric) = 1.4939602197039214540347285631244
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.513
y[1] (analytic) = 1.4943064476518536057722442135356
y[1] (numeric) = 1.4943064476518536057722442135357
absolute error = 1e-31
relative error = 6.6920677587344649269232244678713e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.514
y[1] (analytic) = 1.4946517243743122253165958809927
y[1] (numeric) = 1.4946517243743122253165958809928
absolute error = 1e-31
relative error = 6.6905218365744553095785527624075e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.515
y[1] (analytic) = 1.4949960504901902165356295059402
y[1] (numeric) = 1.4949960504901902165356295059403
absolute error = 1e-31
relative error = 6.6889808817361938937424277042610e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.516
y[1] (analytic) = 1.4953394266221829083522290582537
y[1] (numeric) = 1.4953394266221829083522290582538
absolute error = 1e-31
relative error = 6.6874448850646342096548504335970e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.517
y[1] (analytic) = 1.495681853396785563963831106032
y[1] (numeric) = 1.4956818533967855639638311060321
absolute error = 1e-31
relative error = 6.6859138374176195259398307626102e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.518
y[1] (analytic) = 1.496023331444290874862207352757
y[1] (numeric) = 1.496023331444290874862207352757
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.519
y[1] (analytic) = 1.4963638613987864396635390603498
y[1] (numeric) = 1.4963638613987864396635390603498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=698.1MB, alloc=4.5MB, time=31.01
x[1] = 2.52
y[1] (analytic) = 1.496703443898152227758868034465
y[1] (numeric) = 1.496703443898152227758868034465
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.521
y[1] (analytic) = 1.4970420795840580277950695668357
y[1] (numeric) = 1.4970420795840580277950695668357
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.522
y[1] (analytic) = 1.4973797691019608809965534073761
y[1] (numeric) = 1.4973797691019608809965534073761
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.523
y[1] (analytic) = 1.4977165131011024993379594758166
y[1] (numeric) = 1.4977165131011024993379594758166
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.524
y[1] (analytic) = 1.4980523122345066685781756186444
y[1] (numeric) = 1.4980523122345066685781756186444
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.525
y[1] (analytic) = 1.498387167158976636166065271817
y[1] (numeric) = 1.498387167158976636166065271817
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.526
y[1] (analytic) = 1.4987210785350924840283534028549
y[1] (numeric) = 1.4987210785350924840283534028549
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.527
y[1] (analytic) = 1.4990540470272084862501795772672
y[1] (numeric) = 1.4990540470272084862501795772672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.528
y[1] (analytic) = 1.4993860733034504516588874235737
y[1] (numeric) = 1.4993860733034504516588874235736
absolute error = 1e-31
relative error = 6.6693963469781866289332510056172e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.529
y[1] (analytic) = 1.4997171580357130513216801582232
y[1] (numeric) = 1.4997171580357130513216801582232
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.53
y[1] (analytic) = 1.5000473018996571309678321762234
y[1] (numeric) = 1.5000473018996571309678321762233
absolute error = 1e-31
relative error = 6.6664564426308546940285482170627e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.531
y[1] (analytic) = 1.5003765055747070083462070150498
y[1] (numeric) = 1.5003765055747070083462070150497
absolute error = 1e-31
relative error = 6.6649937284705623897146077269921e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.532
y[1] (analytic) = 1.5007047697440477555288922581618
y[1] (numeric) = 1.5007047697440477555288922581618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.533
y[1] (analytic) = 1.5010320950946224661718221599604
y[1] (numeric) = 1.5010320950946224661718221599603
absolute error = 1e-31
relative error = 6.6620827313953052430332391742351e-30 %
Correct digits = 31
h = 0.001
memory used=701.9MB, alloc=4.5MB, time=31.19
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.534
y[1] (analytic) = 1.5013584823171295077433189460532
y[1] (numeric) = 1.5013584823171295077433189460531
absolute error = 1e-31
relative error = 6.6606344306034408388312747609841e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.535
y[1] (analytic) = 1.5016839321060197587315438710001
y[1] (numeric) = 1.501683932106019758731543871
absolute error = 1e-31
relative error = 6.6591909164104941529699146308253e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.536
y[1] (analytic) = 1.5020084451594938308419092000492
y[1] (numeric) = 1.5020084451594938308419092000491
absolute error = 1e-31
relative error = 6.6577521799074369385656090803624e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.537
y[1] (analytic) = 1.5023320221794992761955623215126
y[1] (numeric) = 1.5023320221794992761955623215124
absolute error = 2e-31
relative error = 1.3312636424393802475686452240262e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.538
y[1] (analytic) = 1.5026546638717277795401131921211
y[1] (numeric) = 1.502654663871727779540113192121
absolute error = 1e-31
relative error = 6.6548890043931194223529131787589e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.539
y[1] (analytic) = 1.5029763709456123354838362687061
y[1] (numeric) = 1.502976370945612335483836268706
absolute error = 1e-31
relative error = 6.6534645476218643743975713145663e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.54
y[1] (analytic) = 1.5032971441143244107646379856345
y[1] (numeric) = 1.5032971441143244107646379856344
absolute error = 1e-31
relative error = 6.6520448330203898092983999280523e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.541
y[1] (analytic) = 1.5036169840947710915651406983452
y[1] (numeric) = 1.5036169840947710915651406983451
absolute error = 1e-31
relative error = 6.6506298517373707381288395521540e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.542
y[1] (analytic) = 1.5039358916075922158852938288475
y[1] (numeric) = 1.5039358916075922158852938288474
absolute error = 1e-31
relative error = 6.6492195949328440705501039345027e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.543
y[1] (analytic) = 1.5042538673771574909839827189122
y[1] (numeric) = 1.5042538673771574909839827189121
absolute error = 1e-31
relative error = 6.6478140537781493573843503531871e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.544
y[1] (analytic) = 1.5045709121315635959011654206782
y[1] (numeric) = 1.504570912131563595901165420678
absolute error = 2e-31
relative error = 1.3292826438911739345128777921122e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.545
y[1] (analytic) = 1.5048870266026312690721273322624
y[1] (numeric) = 1.5048870266026312690721273322622
absolute error = 2e-31
relative error = 1.3290034166319545268203355927814e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.546
y[1] (analytic) = 1.5052022115259023810455032174732
y[1] (numeric) = 1.505202211525902381045503217473
absolute error = 2e-31
relative error = 1.3287251272189503127434383324737e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=705.7MB, alloc=4.5MB, time=31.37
x[1] = 2.547
y[1] (analytic) = 1.5055164676406369923167757336343
y[1] (numeric) = 1.5055164676406369923167757336341
absolute error = 2e-31
relative error = 1.3284477738953533569565165602747e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.548
y[1] (analytic) = 1.5058297956898103962890191296034
y[1] (numeric) = 1.5058297956898103962890191296033
absolute error = 1e-31
relative error = 6.6408567745327870582218894131976e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.549
y[1] (analytic) = 1.5061421964201101473727162670679
y[1] (numeric) = 1.5061421964201101473727162670678
absolute error = 1e-31
relative error = 6.6394793425007311560268593196115e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.55
y[1] (analytic) = 1.5064536705819330742365365618862
y[1] (numeric) = 1.5064536705819330742365365618861
absolute error = 1e-31
relative error = 6.6381065646294095720417828134768e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.551
y[1] (analytic) = 1.5067642189293822782210218383818
y[1] (numeric) = 1.5067642189293822782210218383816
absolute error = 2e-31
relative error = 1.3273476864356932739353071488540e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.552
y[1] (analytic) = 1.5070738422202641169271864378435
y[1] (numeric) = 1.5070738422202641169271864378433
absolute error = 2e-31
relative error = 1.3270749872836642332418682681996e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.553
y[1] (analytic) = 1.5073825412160851729920972228105
y[1] (numeric) = 1.5073825412160851729920972228103
absolute error = 2e-31
relative error = 1.3268032137260222506687119295319e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.554
y[1] (analytic) = 1.5076903166820492080635583707793
y[1] (numeric) = 1.5076903166820492080635583707791
absolute error = 2e-31
relative error = 1.3265323640211267707371216907836e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.555
y[1] (analytic) = 1.5079971693870541019860850545336
y[1] (numeric) = 1.5079971693870541019860850545334
absolute error = 2e-31
relative error = 1.3262624364294577025627818218170e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.556
y[1] (analytic) = 1.5083031001036887772104092611195
y[1] (numeric) = 1.5083031001036887772104092611193
absolute error = 2e-31
relative error = 1.3259934292136039253223069285814e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.557
y[1] (analytic) = 1.5086081096082301084388201073441
y[1] (numeric) = 1.5086081096082301084388201073439
absolute error = 2e-31
relative error = 1.3257253406382518207076032426869e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.558
y[1] (analytic) = 1.5089121986806398175187000663133
y[1] (numeric) = 1.5089121986806398175187000663132
absolute error = 1e-31
relative error = 6.6272908448508691615185370917860e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.559
y[1] (analytic) = 1.5092153681045613535966775267264
y[1] (numeric) = 1.5092153681045613535966775267263
absolute error = 1e-31
relative error = 6.6259595623910852591315112067493e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=709.5MB, alloc=4.5MB, time=31.55
x[1] = 2.56
y[1] (analytic) = 1.5095176186673167585458750641549
y[1] (numeric) = 1.5095176186673167585458750641547
absolute error = 2e-31
relative error = 1.3249265694332918321556611479099e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.561
y[1] (analytic) = 1.5098189511599035176787917111347
y[1] (numeric) = 1.5098189511599035176787917111346
absolute error = 1e-31
relative error = 6.6233106905418021355216244109804e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.562
y[1] (analytic) = 1.5101193663769913957584163703438
y[1] (numeric) = 1.5101193663769913957584163703437
absolute error = 1e-31
relative error = 6.6219930838921282892818199694404e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.563
y[1] (analytic) = 1.5104188651169192583202283221908
y[1] (numeric) = 1.5104188651169192583202283221907
absolute error = 1e-31
relative error = 6.6206800186025980300831509988662e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.564
y[1] (analytic) = 1.5107174481816918783177995345774
y[1] (numeric) = 1.5107174481816918783177995345772
absolute error = 2e-31
relative error = 1.3238742972136923332089479098752e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.565
y[1] (analytic) = 1.5110151163769767281047721881644
y[1] (numeric) = 1.5110151163769767281047721881643
absolute error = 1e-31
relative error = 6.6180674776950031358137222797005e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.566
y[1] (analytic) = 1.5113118705121007567660434849572
y[1] (numeric) = 1.5113118705121007567660434849571
absolute error = 1e-31
relative error = 6.6167679848974838711408188177513e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.567
y[1] (analytic) = 1.511607711400047152811048411171
y[1] (numeric) = 1.5116077114000471528110484111709
absolute error = 1e-31
relative error = 6.6154729991010867913012669224003e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.568
y[1] (analytic) = 1.5119026398574520922420896769315
y[1] (numeric) = 1.5119026398574520922420896769314
absolute error = 1e-31
relative error = 6.6141825117408604290667947936450e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.569
y[1] (analytic) = 1.5121966567046014720107225551534
y[1] (numeric) = 1.5121966567046014720107225551533
absolute error = 1e-31
relative error = 6.6128965142616631879370165575961e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.57
y[1] (analytic) = 1.5124897627654276288752607897027
y[1] (numeric) = 1.5124897627654276288752607897027
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.571
y[1] (analytic) = 1.5127819588675060436725281384445
y[1] (numeric) = 1.5127819588675060436725281384445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.572
y[1] (analytic) = 1.5130732458420520310170384597751
y[1] (numeric) = 1.513073245842052031017038459775
absolute error = 1e-31
relative error = 6.6090653757048113538372540904155e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=713.3MB, alloc=4.5MB, time=31.73
x[1] = 2.573
y[1] (analytic) = 1.5133636245239174144408455415046
y[1] (numeric) = 1.5133636245239174144408455415046
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.574
y[1] (analytic) = 1.513653095751587186987362108259
y[1] (numeric) = 1.5136530957515871869873621082589
absolute error = 1e-31
relative error = 6.6065335763308527530397823777136e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.575
y[1] (analytic) = 1.5139416603671761572725056276698
y[1] (numeric) = 1.5139416603671761572725056276698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.576
y[1] (analytic) = 1.5142293192164255810265866663003
y[1] (numeric) = 1.5142293192164255810265866663002
absolute error = 1e-31
relative error = 6.6040195319786442701157307143057e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.577
y[1] (analytic) = 1.5145160731486997781304136232597
y[1] (numeric) = 1.5145160731486997781304136232596
absolute error = 1e-31
relative error = 6.6027691467214753638578097398578e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.578
y[1] (analytic) = 1.514801923016982735159145692579
y[1] (numeric) = 1.514801923016982735159145692579
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.579
y[1] (analytic) = 1.5150868696778746934474838744046
y[1] (numeric) = 1.5150868696778746934474838744046
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.58
y[1] (analytic) = 1.5153709139915887226898477696967
y[1] (numeric) = 1.5153709139915887226898477696967
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.581
y[1] (analytic) = 1.515654056821947280089243753158
y[1] (numeric) = 1.515654056821947280089243753158
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.582
y[1] (analytic) = 1.5159362990363787550685879243306
y[1] (numeric) = 1.5159362990363787550685879243307
absolute error = 1e-31
relative error = 6.5965832511277734854330269598017e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.583
y[1] (analytic) = 1.5162176415059139995583049869638
y[1] (numeric) = 1.5162176415059139995583049869639
absolute error = 1e-31
relative error = 6.5953592190550930537313929913928e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.584
y[1] (analytic) = 1.5164980851051828438740819016289
y[1] (numeric) = 1.516498085105182843874081901629
absolute error = 1e-31
relative error = 6.5941395496759955679485879602154e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.585
y[1] (analytic) = 1.5167776307124105981987127959237
y[1] (numeric) = 1.5167776307124105981987127959238
absolute error = 1e-31
relative error = 6.5929242345848223659262669957753e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.586
y[1] (analytic) = 1.5170562792094145396820292002195
y[1] (numeric) = 1.5170562792094145396820292002196
absolute error = 1e-31
relative error = 6.5917132653847968423414812451963e-30 %
Correct digits = 31
h = 0.001
memory used=717.1MB, alloc=4.5MB, time=31.91
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.587
y[1] (analytic) = 1.5173340314816003851729672045483
y[1] (numeric) = 1.5173340314816003851729672045484
absolute error = 1e-31
relative error = 6.5905066336879710218078392766520e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.588
y[1] (analytic) = 1.5176108884179587495978806036563
y[1] (numeric) = 1.5176108884179587495978806036564
absolute error = 1e-31
relative error = 6.5893043311151722582048341082270e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.589
y[1] (analytic) = 1.517886850911061589999266512251
y[1] (numeric) = 1.5178868509110615899992665122511
absolute error = 1e-31
relative error = 6.5881063492959500599970074535364e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.59
y[1] (analytic) = 1.5181619198570586352491272907966
y[1] (numeric) = 1.5181619198570586352491272907967
absolute error = 1e-31
relative error = 6.5869126798685230413072375003379e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.591
y[1] (analytic) = 1.5184360961556738014512499236503
y[1] (numeric) = 1.5184360961556738014512499236504
absolute error = 1e-31
relative error = 6.5857233144797259985110467062634e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.592
y[1] (analytic) = 1.5187093807102015930467412356428
y[1] (numeric) = 1.518709380710201593046741235643
absolute error = 2e-31
relative error = 1.3169076489569914224242863454015e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.593
y[1] (analytic) = 1.518981774427503489637214520163
y[1] (numeric) = 1.5189817744275034896372145201631
absolute error = 1e-31
relative error = 6.5833574624481252737363187067926e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.594
y[1] (analytic) = 1.5192532782180043185400802811826
y[1] (numeric) = 1.5192532782180043185400802811827
absolute error = 1e-31
relative error = 6.5821809591415975378233437783166e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.595
y[1] (analytic) = 1.5195238929956886130904508632226
y[1] (numeric) = 1.5195238929956886130904508632228
absolute error = 2e-31
relative error = 1.3162017453092293396238501518031e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.596
y[1] (analytic) = 1.5197936196780969567042257567857
y[1] (numeric) = 1.5197936196780969567042257567859
absolute error = 2e-31
relative error = 1.3159681512701797976847571422677e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.597
y[1] (analytic) = 1.5200624591863223127169813220395
y[1] (numeric) = 1.5200624591863223127169813220396
absolute error = 1e-31
relative error = 6.5786770402532819075705512754868e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.598
y[1] (analytic) = 1.5203304124450063400133455702986
y[1] (numeric) = 1.5203304124450063400133455702987
absolute error = 1e-31
relative error = 6.5775175699589721683598625020968e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.599
y[1] (analytic) = 1.5205974803823356944615954808935
y[1] (numeric) = 1.5205974803823356944615954808936
absolute error = 1e-31
relative error = 6.5763623371818437702412203276464e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=721.0MB, alloc=4.5MB, time=32.10
x[1] = 2.6
y[1] (analytic) = 1.5208636639300383161682711101054
y[1] (numeric) = 1.5208636639300383161682711101055
absolute error = 1e-31
relative error = 6.5752113336439161955355888646602e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.601
y[1] (analytic) = 1.5211289640233797025676574687604
y[1] (numeric) = 1.5211289640233797025676574687605
absolute error = 1e-31
relative error = 6.5740645510753027289902283394464e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.602
y[1] (analytic) = 1.5213933816011591673610418055864
y[1] (numeric) = 1.5213933816011591673610418055865
absolute error = 1e-31
relative error = 6.5729219812141589004613968191813e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.603
y[1] (analytic) = 1.5216569176057060853207105343157
y[1] (numeric) = 1.5216569176057060853207105343158
absolute error = 1e-31
relative error = 6.5717836158066310505227908443937e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.604
y[1] (analytic) = 1.5219195729828761229737065835379
y[1] (numeric) = 1.521919572982876122973706583538
absolute error = 1e-31
relative error = 6.5706494466068050188001477387078e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.605
y[1] (analytic) = 1.522181348682047455180424429249
y[1] (numeric) = 1.522181348682047455180424429249
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.606
y[1] (analytic) = 1.5224422456561169676231764906709
y[1] (numeric) = 1.5224422456561169676231764906709
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.607
y[1] (analytic) = 1.5227022648614964452199209300136
y[1] (numeric) = 1.5227022648614964452199209300136
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.608
y[1] (analytic) = 1.5229614072581087464783971961855
y[1] (numeric) = 1.5229614072581087464783971961855
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.609
y[1] (analytic) = 1.5232196738093839638059718908096
y[1] (numeric) = 1.5232196738093839638059718908096
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.61
y[1] (analytic) = 1.5234770654822555697905537120424
y[1] (numeric) = 1.5234770654822555697905537120425
absolute error = 1e-31
relative error = 6.5639320909858969156159207633764e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.611
y[1] (analytic) = 1.5237335832471565494679923473977
y[1] (numeric) = 1.5237335832471565494679923473977
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.612
y[1] (analytic) = 1.5239892280780155185914322408212
y[1] (numeric) = 1.5239892280780155185914322408212
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=724.8MB, alloc=4.5MB, time=32.28
x[1] = 2.613
y[1] (analytic) = 1.5242440009522528279181481514281
y[1] (numeric) = 1.5242440009522528279181481514281
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.614
y[1] (analytic) = 1.5244979028507766535294453513642
y[1] (numeric) = 1.5244979028507766535294453513642
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.615
y[1] (analytic) = 1.5247509347579790731992631779787
y[1] (numeric) = 1.5247509347579790731992631779787
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.616
y[1] (analytic) = 1.5250030976617321288271764606621
y[1] (numeric) = 1.5250030976617321288271764606621
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.617
y[1] (analytic) = 1.5252543925533838749515450850938
y[1] (numeric) = 1.5252543925533838749515450850938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.618
y[1] (analytic) = 1.5255048204277544133586176370325
y[1] (numeric) = 1.5255048204277544133586176370325
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.619
y[1] (analytic) = 1.5257543822831319138034506839473
y[1] (numeric) = 1.5257543822831319138034506839472
absolute error = 1e-31
relative error = 6.5541348700149532003288952820383e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.62
y[1] (analytic) = 1.5260030791212686208585608055068
y[1] (numeric) = 1.5260030791212686208585608055067
absolute error = 1e-31
relative error = 6.5530667249756700103408341277244e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.621
y[1] (analytic) = 1.5262509119473768469062819729944
y[1] (numeric) = 1.5262509119473768469062819729943
absolute error = 1e-31
relative error = 6.5520026371291609998684751515778e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.622
y[1] (analytic) = 1.5264978817701249512908563028769
y[1] (numeric) = 1.5264978817701249512908563028768
absolute error = 1e-31
relative error = 6.5509425983637874768369184160745e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.623
y[1] (analytic) = 1.5267439896016333056463415708021
y[1] (numeric) = 1.526743989601633305646341570802
absolute error = 1e-31
relative error = 6.5498866005748983976431722391379e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.624
y[1] (analytic) = 1.526989236457470245416474169017
y[1] (numeric) = 1.526989236457470245416474169017
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.625
y[1] (analytic) = 1.5272336233566480075826814223557
y[1] (numeric) = 1.5272336233566480075826814223557
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.626
y[1] (analytic) = 1.527477151321618654616492345331
memory used=728.6MB, alloc=4.5MB, time=32.46
y[1] (numeric) = 1.527477151321618654616492345331
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.627
y[1] (analytic) = 1.5277198213782699846726510252539
y[1] (numeric) = 1.5277198213782699846726510252539
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.628
y[1] (analytic) = 1.5279616345559214280392918534719
y[1] (numeric) = 1.5279616345559214280392918534719
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.629
y[1] (analytic) = 1.5282025918873199298615907985558
y[1] (numeric) = 1.5282025918873199298615907985558
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.63
y[1] (analytic) = 1.528442694408635819155361821339
y[1] (numeric) = 1.5284426944086358191553618213389
absolute error = 1e-31
relative error = 6.5426070840484232082031852702055e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.631
y[1] (analytic) = 1.5286819431594586641271223719159
y[1] (numeric) = 1.5286819431594586641271223719158
absolute error = 1e-31
relative error = 6.5415831231264094900803925286491e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.632
y[1] (analytic) = 1.528920339182793113817206682812
y[1] (numeric) = 1.5289203391827931138172066828119
absolute error = 1e-31
relative error = 6.5405631305454365462853472878845e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.633
y[1] (analytic) = 1.5291578835250547260825602803266
y[1] (numeric) = 1.5291578835250547260825602803265
absolute error = 1e-31
relative error = 6.5395470982680601919343221537906e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.634
y[1] (analytic) = 1.5293945772360657819359037773086
y[1] (numeric) = 1.5293945772360657819359037773085
absolute error = 1e-31
relative error = 6.5385350182632925722727908911879e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.635
y[1] (analytic) = 1.5296304213690510862580085851287
y[1] (numeric) = 1.5296304213690510862580085851286
absolute error = 1e-31
relative error = 6.5375268825065545702624487569145e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.636
y[1] (analytic) = 1.5298654169806337548998816901465
y[1] (numeric) = 1.5298654169806337548998816901464
absolute error = 1e-31
relative error = 6.5365226829796283318306203764734e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.637
y[1] (analytic) = 1.5300995651308309881917110803157
y[1] (numeric) = 1.5300995651308309881917110803155
absolute error = 2e-31
relative error = 1.3071044823341219817328762279751e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.638
y[1] (analytic) = 1.5303328668830498308754777805107
y[1] (numeric) = 1.5303328668830498308754777805105
absolute error = 2e-31
relative error = 1.3069052121147724036868262711647e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.639
y[1] (analytic) = 1.5305653233040829184781947604735
y[1] (numeric) = 1.5305653233040829184781947604733
absolute error = 2e-31
relative error = 1.3067067243379933844667543433772e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=732.4MB, alloc=4.5MB, time=32.64
x[1] = 2.64
y[1] (analytic) = 1.5307969354641042101427872167524
y[1] (numeric) = 1.5307969354641042101427872167523
absolute error = 1e-31
relative error = 6.5325450870256794198270339964209e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.641
y[1] (analytic) = 1.5310277044366647079336828994237
y[1] (numeric) = 1.5310277044366647079336828994235
absolute error = 2e-31
relative error = 1.3063120897187759920983844649821e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.642
y[1] (analytic) = 1.5312576312986881626342352555252
y[1] (numeric) = 1.531257631298688162634235255525
absolute error = 2e-31
relative error = 1.3061159396827055745715235766188e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.643
y[1] (analytic) = 1.531486717130466766053156193786
y[1] (numeric) = 1.5314867171304667660531561937858
absolute error = 2e-31
relative error = 1.3059205657019229420261186810627e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.644
y[1] (analytic) = 1.5317149630156568298571892391756
y[1] (numeric) = 1.5317149630156568298571892391755
absolute error = 1e-31
relative error = 6.5286298309131177127090735121948e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.645
y[1] (analytic) = 1.5319423700412744509473077408195
y[1] (numeric) = 1.5319423700412744509473077408194
absolute error = 1e-31
relative error = 6.5276606976609533873873625899664e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.646
y[1] (analytic) = 1.5321689392976911633957766227082
y[1] (numeric) = 1.5321689392976911633957766227081
absolute error = 1e-31
relative error = 6.5266954207959312031539437071028e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.647
y[1] (analytic) = 1.5323946718786295769614699231558
y[1] (numeric) = 1.5323946718786295769614699231558
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.648
y[1] (analytic) = 1.5326195688811590022008900559228
y[1] (numeric) = 1.5326195688811590022008900559228
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.649
y[1] (analytic) = 1.5328436314056910621923883430917
y[1] (numeric) = 1.5328436314056910621923883430917
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.65
y[1] (analytic) = 1.5330668605559752908911399169636
y[1] (numeric) = 1.5330668605559752908911399169636
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.651
y[1] (analytic) = 1.533289257439094718132479565207
y[1] (numeric) = 1.533289257439094718132479565207
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.652
y[1] (analytic) = 1.533510823165461441301258500028
y[1] (numeric) = 1.533510823165461441301258500028
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=736.2MB, alloc=4.5MB, time=32.82
x[1] = 2.653
y[1] (analytic) = 1.5337315588488121836849353680312
y[1] (numeric) = 1.5337315588488121836849353680312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.654
y[1] (analytic) = 1.5339514656062038395281680824852
y[1] (numeric) = 1.5339514656062038395281680824851
absolute error = 1e-31
relative error = 6.5191110828582114436461121865070e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.655
y[1] (analytic) = 1.5341705445580090058067262536841
y[1] (numeric) = 1.534170544558009005806726253684
absolute error = 1e-31
relative error = 6.5181801563534625986692603639500e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.656
y[1] (analytic) = 1.5343887968279115007385971157999
y[1] (numeric) = 1.5343887968279115007385971157998
absolute error = 1e-31
relative error = 6.5172530069779597649641222941755e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.657
y[1] (analytic) = 1.534606223542901869050210899824
y[1] (numeric) = 1.5346062235429018690502108998239
absolute error = 1e-31
relative error = 6.5163296268363121750766566446865e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.658
y[1] (analytic) = 1.5348228258332728740157645817062
y[1] (numeric) = 1.5348228258332728740157645817061
absolute error = 1e-31
relative error = 6.5154100080384754358931974819528e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.659
y[1] (analytic) = 1.5350386048326149762876758423831
y[1] (numeric) = 1.535038604832614976287675842383
absolute error = 1e-31
relative error = 6.5144941426997067324893677485133e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.66
y[1] (analytic) = 1.5352535616778117995362519118537
y[1] (numeric) = 1.5352535616778117995362519118536
absolute error = 1e-31
relative error = 6.5135820229405201474753042152535e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.661
y[1] (analytic) = 1.5354676975090355829167107325797
y[1] (numeric) = 1.5354676975090355829167107325796
absolute error = 1e-31
relative error = 6.5126736408866420957763537505153e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.662
y[1] (analytic) = 1.5356810134697426203817445680634
y[1] (numeric) = 1.5356810134697426203817445680633
absolute error = 1e-31
relative error = 6.5117689886689668747907198014139e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.663
y[1] (analytic) = 1.5358935107066686868578688002671
y[1] (numeric) = 1.535893510706668686857868800267
absolute error = 1e-31
relative error = 6.5108680584235123298678531041975e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.664
y[1] (analytic) = 1.5361051903698244513038512043813
y[1] (numeric) = 1.5361051903698244513038512043812
absolute error = 1e-31
relative error = 6.5099708422913756350536918261529e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.665
y[1] (analytic) = 1.5363160536124908766695694611074
y[1] (numeric) = 1.5363160536124908766695694611073
absolute error = 1e-31
relative error = 6.5090773324186891890511635876608e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=740.0MB, alloc=4.5MB, time=33.01
x[1] = 2.666
y[1] (analytic) = 1.5365261015912146067736970648926
y[1] (numeric) = 1.5365261015912146067736970648926
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.667
y[1] (analytic) = 1.5367353354658033401186701112225
y[1] (numeric) = 1.5367353354658033401186701112224
absolute error = 1e-31
relative error = 6.5073014000611089434555346312324e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.668
y[1] (analytic) = 1.5369437563993211906614396969344
y[1] (numeric) = 1.5369437563993211906614396969343
absolute error = 1e-31
relative error = 6.5064189618932607402418274842475e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.669
y[1] (analytic) = 1.537151365558084035558566844359
y[1] (numeric) = 1.5371513655580840355585668443589
absolute error = 1e-31
relative error = 6.5055401986188665762699969722210e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.67
y[1] (analytic) = 1.5373581641116548499042689627044
y[1] (numeric) = 1.5373581641116548499042689627043
absolute error = 1e-31
relative error = 6.5046651024085774421483697825522e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.671
y[1] (analytic) = 1.5375641532328390284800788882791
y[1] (numeric) = 1.537564153232839028480078888279
absolute error = 1e-31
relative error = 6.5037936654378173458265889880278e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.672
y[1] (analytic) = 1.5377693340976796945348294986786
y[1] (numeric) = 1.5377693340976796945348294986784
absolute error = 2e-31
relative error = 1.3005851759773480027622954136123e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.673
y[1] (analytic) = 1.537973707885452995613728774742
y[1] (numeric) = 1.5379737078854529956137287747418
absolute error = 2e-31
relative error = 1.3004123475880371414536093952769e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.674
y[1] (analytic) = 1.5381772757786633864553419877076
y[1] (numeric) = 1.5381772757786633864553419877075
absolute error = 1e-31
relative error = 6.5012012317876381529746608377716e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.675
y[1] (analytic) = 1.5383800389630388989753494173479
y[1] (numeric) = 1.5383800389630388989753494173478
absolute error = 1e-31
relative error = 6.5003443536231815891036034213730e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.676
y[1] (analytic) = 1.5385819986275263993559996597466
y[1] (numeric) = 1.5385819986275263993559996597465
absolute error = 1e-31
relative error = 6.4994910956454579258006010990261e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.677
y[1] (analytic) = 1.5387831559642868322602301605813
y[1] (numeric) = 1.5387831559642868322602301605812
absolute error = 1e-31
relative error = 6.4986414500576240205390765456348e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.678
y[1] (analytic) = 1.538983512168690452189478111088
y[1] (numeric) = 1.5389835121686904521894781110879
absolute error = 1e-31
relative error = 6.4977954090673090682271849670802e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=743.8MB, alloc=4.5MB, time=33.19
x[1] = 2.679
y[1] (analytic) = 1.5391830684393120420042562691057
y[1] (numeric) = 1.5391830684393120420042562691057
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.68
y[1] (analytic) = 1.5393818259779261186266196165231
y[1] (numeric) = 1.5393818259779261186266196165231
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.681
y[1] (analytic) = 1.539579785989502125943700036867
y[1] (numeric) = 1.539579785989502125943700036867
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.682
y[1] (analytic) = 1.5397769496821996149315373924864
y[1] (numeric) = 1.5397769496821996149315373924864
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.683
y[1] (analytic) = 1.5399733182673634110184864995789
y[1] (numeric) = 1.539973318267363411018486499579
absolute error = 1e-31
relative error = 6.4936190006532592885683290023210e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.684
y[1] (analytic) = 1.5401688929595187687075305409907
y[1] (numeric) = 1.5401688929595187687075305409908
absolute error = 1e-31
relative error = 6.4927944238533821061963655331242e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.685
y[1] (analytic) = 1.5403636749763665134768824210734
y[1] (numeric) = 1.5403636749763665134768824210734
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.686
y[1] (analytic) = 1.5405576655387781709783064537166
y[1] (numeric) = 1.5405576655387781709783064537166
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.687
y[1] (analytic) = 1.5407508658707910835526435837749
y[1] (numeric) = 1.5407508658707910835526435837749
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.688
y[1] (analytic) = 1.5409432771996035140820740732758
y[1] (numeric) = 1.5409432771996035140820740732758
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.689
y[1] (analytic) = 1.5411349007555697371987022368312
y[1] (numeric) = 1.5411349007555697371987022368312
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.69
y[1] (analytic) = 1.5413257377721951178690983853677
y[1] (numeric) = 1.5413257377721951178690983853677
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.691
y[1] (analytic) = 1.5415157894861311773744836334457
y[1] (numeric) = 1.5415157894861311773744836334458
absolute error = 1e-31
relative error = 6.4871213569168366507019023024331e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.692
y[1] (analytic) = 1.5417050571371706467062936428506
y[1] (numeric) = 1.5417050571371706467062936428507
absolute error = 1e-31
relative error = 6.4863249644969327034339348269804e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=747.7MB, alloc=4.5MB, time=33.36
x[1] = 2.693
y[1] (analytic) = 1.541893541968242507396907713604
y[1] (numeric) = 1.5418935419682425073969077136041
absolute error = 1e-31
relative error = 6.4855320602970423728722000182807e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.694
y[1] (analytic) = 1.5420812452254070198053798928677
y[1] (numeric) = 1.5420812452254070198053798928678
absolute error = 1e-31
relative error = 6.4847426365906508953626627684423e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.695
y[1] (analytic) = 1.5422681681578507388780589521864
y[1] (numeric) = 1.5422681681578507388780589521865
absolute error = 1e-31
relative error = 6.4839566856550090232530991321443e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.696
y[1] (analytic) = 1.5424543120178815174040341839441
y[1] (numeric) = 1.5424543120178815174040341839442
absolute error = 1e-31
relative error = 6.4831741997710924793430172060423e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.697
y[1] (analytic) = 1.5426396780609234967853939885878
y[1] (numeric) = 1.5426396780609234967853939885878
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.698
y[1] (analytic) = 1.5428242675455120853423341649056
y[1] (numeric) = 1.5428242675455120853423341649056
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.699
y[1] (analytic) = 1.5430080817332889241732026762315
y[1] (numeric) = 1.5430080817332889241732026762315
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.7
y[1] (analytic) = 1.5431911218889968405896174456836
y[1] (numeric) = 1.5431911218889968405896174456836
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.701
y[1] (analytic) = 1.5433733892804747891468434332374
y[1] (numeric) = 1.5433733892804747891468434332374
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.702
y[1] (analytic) = 1.5435548851786527802896648663801
y[1] (numeric) = 1.5435548851786527802896648663801
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.703
y[1] (analytic) = 1.5437356108575467966340380340949
y[1] (numeric) = 1.5437356108575467966340380340949
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.704
y[1] (analytic) = 1.5439155675942536969048595107861
y[1] (numeric) = 1.5439155675942536969048595107861
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.705
y[1] (analytic) = 1.5440947566689461075502340522777
y[1] (numeric) = 1.5440947566689461075502340522777
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=751.5MB, alloc=4.5MB, time=33.53
x[1] = 2.706
y[1] (analytic) = 1.5442731793648673020526757000016
y[1] (numeric) = 1.5442731793648673020526757000016
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.707
y[1] (analytic) = 1.544450836968326067957724841745
y[1] (numeric) = 1.544450836968326067957724841745
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.708
y[1] (analytic) = 1.5446277307686915616405131076434
y[1] (numeric) = 1.5446277307686915616405131076434
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.709
y[1] (analytic) = 1.5448038620583881508308570282999
y[1] (numeric) = 1.5448038620583881508308570283
absolute error = 1e-31
relative error = 6.4733136973618176929848880727528e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.71
y[1] (analytic) = 1.5449792321328902449175103477801
y[1] (numeric) = 1.5449792321328902449175103477802
absolute error = 1e-31
relative error = 6.4725789136949754175796983431849e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.711
y[1] (analytic) = 1.5451538422907171130522537675788
y[1] (numeric) = 1.5451538422907171130522537675788
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.712
y[1] (analytic) = 1.5453276938334276900745496982919
y[1] (numeric) = 1.5453276938334276900745496982919
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.713
y[1] (analytic) = 1.545500788065615370277538313449
y[1] (numeric) = 1.545500788065615370277538313449
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.714
y[1] (analytic) = 1.5456731262949027890361998345793
y[1] (numeric) = 1.5456731262949027890361998345793
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.715
y[1] (analytic) = 1.5458447098319365923185565279058
y[1] (numeric) = 1.5458447098319365923185565279058
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.716
y[1] (analytic) = 1.5460155399903821941008363608841
y[1] (numeric) = 1.5460155399903821941008363608841
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.717
y[1] (analytic) = 1.5461856180869185217075686509428
y[1] (numeric) = 1.5461856180869185217075686509428
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.718
y[1] (analytic) = 1.5463549454412327490976303390348
y[1] (numeric) = 1.5463549454412327490976303390348
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.719
y[1] (analytic) = 1.5465235233760150181173097367938
y[1] (numeric) = 1.5465235233760150181173097367938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
memory used=755.3MB, alloc=4.5MB, time=33.69
TOP MAIN SOLVE Loop
x[1] = 2.72
y[1] (analytic) = 1.5466913532169531477415027280016
y[1] (numeric) = 1.5466913532169531477415027280016
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.721
y[1] (analytic) = 1.5468584362927273313242044525276
y[1] (numeric) = 1.5468584362927273313242044525276
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.722
y[1] (analytic) = 1.547024773935004821879507463703
y[1] (numeric) = 1.5470247739350048218795074637031
absolute error = 1e-31
relative error = 6.4640205951996798274670263115779e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.723
y[1] (analytic) = 1.5471903674784346054143652280516
y[1] (numeric) = 1.5471903674784346054143652280517
absolute error = 1e-31
relative error = 6.4633287604405824579667200125221e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.724
y[1] (analytic) = 1.5473552182606420623344276292194
y[1] (numeric) = 1.5473552182606420623344276292195
absolute error = 1e-31
relative error = 6.4626401759518699838801825542452e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.725
y[1] (analytic) = 1.547519327622223616944302845645
y[1] (numeric) = 1.547519327622223616944302845645
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.726
y[1] (analytic) = 1.5476826969067413750636475937872
y[1] (numeric) = 1.5476826969067413750636475937873
absolute error = 1e-31
relative error = 6.4612727272756796930737317807091e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.727
y[1] (analytic) = 1.547845327460717749780535265401
y[1] (numeric) = 1.547845327460717749780535265401
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.728
y[1] (analytic) = 1.5480072206336300753635989382212
y[1] (numeric) = 1.5480072206336300753635989382212
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.729
y[1] (analytic) = 1.5481683777779052093544936043035
y[1] (numeric) = 1.5481683777779052093544936043035
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.73
y[1] (analytic) = 1.5483288002489141228622692389734
y[1] (numeric) = 1.5483288002489141228622692389734
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.731
y[1] (analytic) = 1.5484884894049664790812935256805
y[1] (numeric) = 1.5484884894049664790812935256805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.732
y[1] (analytic) = 1.5486474466073052000544101578373
y[1] (numeric) = 1.5486474466073052000544101578373
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=759.1MB, alloc=4.5MB, time=33.86
x[1] = 2.733
y[1] (analytic) = 1.5488056732201010217030656577649
y[1] (numeric) = 1.5488056732201010217030656577649
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.734
y[1] (analytic) = 1.5489631706104470371461845849792
y[1] (numeric) = 1.5489631706104470371461845849791
absolute error = 1e-31
relative error = 6.4559314189884810452010415158466e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.735
y[1] (analytic) = 1.5491199401483532283296198510401
y[1] (numeric) = 1.54911994014835322832961985104
absolute error = 1e-31
relative error = 6.4552780845635094312901030789155e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.736
y[1] (analytic) = 1.5492759832067409859880516158726
y[1] (numeric) = 1.5492759832067409859880516158725
absolute error = 1e-31
relative error = 6.4546279090325018366341154582424e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.737
y[1] (analytic) = 1.5494313011614376179612549106562
y[1] (numeric) = 1.5494313011614376179612549106561
absolute error = 1e-31
relative error = 6.4539808847956691043968491695487e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.738
y[1] (analytic) = 1.5495858953911708458867027148907
y[1] (numeric) = 1.5495858953911708458867027148906
absolute error = 1e-31
relative error = 6.4533370042553483008139251084390e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.739
y[1] (analytic) = 1.5497397672775632902905177098881
y[1] (numeric) = 1.549739767277563290290517709888
absolute error = 1e-31
relative error = 6.4526962598159671506191418672791e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.74
y[1] (analytic) = 1.54989291820512694409883233753
y[1] (numeric) = 1.5498929182051269440988323375299
absolute error = 1e-31
relative error = 6.4520586438840085900912652533258e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.741
y[1] (analytic) = 1.5500453495612576345916631114825
y[1] (numeric) = 1.5500453495612576345916631114825
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.742
y[1] (analytic) = 1.5501970627362294738214513579867
y[1] (numeric) = 1.5501970627362294738214513579867
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.743
y[1] (analytic) = 1.5503480591231892975184687046618
y[1] (numeric) = 1.5503480591231892975184687046618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.744
y[1] (analytic) = 1.5504983401181510925053316882858
y[1] (numeric) = 1.5504983401181510925053316882858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.745
y[1] (analytic) = 1.5506479071199904126429158160631
y[1] (numeric) = 1.5506479071199904126429158160631
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=762.9MB, alloc=4.5MB, time=34.05
x[1] = 2.746
y[1] (analytic) = 1.5507967615304387833300052892793
y[1] (numeric) = 1.5507967615304387833300052892793
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.747
y[1] (analytic) = 1.5509449047540780945790603832823
y[1] (numeric) = 1.5509449047540780945790603832822
absolute error = 1e-31
relative error = 6.4476822931280246315873465147195e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.748
y[1] (analytic) = 1.5510923381983349826905301732445
y[1] (numeric) = 1.5510923381983349826905301732445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.749
y[1] (analytic) = 1.5512390632734752005481839009655
y[1] (numeric) = 1.5512390632734752005481839009654
absolute error = 1e-31
relative error = 6.4464596313721459962259412952333e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.75
y[1] (analytic) = 1.5513850813925979765579797938805
y[1] (numeric) = 1.5513850813925979765579797938805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.751
y[1] (analytic) = 1.5515303939716303622530355732818
y[1] (numeric) = 1.5515303939716303622530355732818
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.752
y[1] (analytic) = 1.5516750024293215685873102243309
y[1] (numeric) = 1.5516750024293215685873102243308
absolute error = 1e-31
relative error = 6.4446485148912474331354925942899e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.753
y[1] (analytic) = 1.5518189081872372909406518455849
y[1] (numeric) = 1.5518189081872372909406518455849
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.754
y[1] (analytic) = 1.5519621126697540228579115502792
y[1] (numeric) = 1.5519621126697540228579115502792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.755
y[1] (analytic) = 1.5521046173040533585448684553271
y[1] (numeric) = 1.5521046173040533585448684553271
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.756
y[1] (analytic) = 1.5522464235201162841437557667423
y[1] (numeric) = 1.5522464235201162841437557667424
absolute error = 1e-31
relative error = 6.4422760770950523912742877027308e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.757
y[1] (analytic) = 1.5523875327507174578112228517669
y[1] (numeric) = 1.552387532750717457811222851767
absolute error = 1e-31
relative error = 6.4416904858033287106373023499149e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.758
y[1] (analytic) = 1.5525279464314194786216129782296
y[1] (numeric) = 1.5525279464314194786216129782297
absolute error = 1e-31
relative error = 6.4411078866474591587139093876280e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.759
y[1] (analytic) = 1.5526676660005671443184811003831
y[1] (numeric) = 1.5526676660005671443184811003832
absolute error = 1e-31
relative error = 6.4405282720663980716801251682637e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=766.7MB, alloc=4.5MB, time=34.23
TOP MAIN SOLVE Loop
x[1] = 2.76
y[1] (analytic) = 1.5528066928992816979373206774924
y[1] (numeric) = 1.5528066928992816979373206774925
absolute error = 1e-31
relative error = 6.4399516345004709443203461624598e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.761
y[1] (analytic) = 1.5529450285714550633225130265951
y[1] (numeric) = 1.5529450285714550633225130265953
absolute error = 2e-31
relative error = 1.2878755932782682963660244634900e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.762
y[1] (analytic) = 1.5530826744637440695615571339517
y[1] (numeric) = 1.5530826744637440695615571339519
absolute error = 2e-31
relative error = 1.2877614520363957544272635846355e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.763
y[1] (analytic) = 1.5532196320255646643596821805642
y[1] (numeric) = 1.5532196320255646643596821805643
absolute error = 1e-31
relative error = 6.4382395083166245788880424488999e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.764
y[1] (analytic) = 1.5533559027090861163779892755986
y[1] (numeric) = 1.5533559027090861163779892755987
absolute error = 1e-31
relative error = 6.4376747032407607552735743527889e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.765
y[1] (analytic) = 1.5534914879692252065583130374144
y[1] (numeric) = 1.5534914879692252065583130374144
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.766
y[1] (analytic) = 1.5536263892636404084580377150079
y[1] (numeric) = 1.553626389263640408458037715008
absolute error = 1e-31
relative error = 6.4365539032454374073368007882258e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.767
y[1] (analytic) = 1.5537606080527260576181465028484
y[1] (numeric) = 1.5537606080527260576181465028485
absolute error = 1e-31
relative error = 6.4359978932228504561570545899120e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.768
y[1] (analytic) = 1.5538941457996065099878265691323
y[1] (numeric) = 1.5538941457996065099878265691324
absolute error = 1e-31
relative error = 6.4354447997834346968505119559554e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.769
y[1] (analytic) = 1.5540270039701302894289960912497
y[1] (numeric) = 1.5540270039701302894289960912497
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.77
y[1] (analytic) = 1.5541591840328642243241632725488
y[1] (numeric) = 1.5541591840328642243241632725488
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.771
y[1] (analytic) = 1.5542906874590875733110709011472
y[1] (numeric) = 1.5542906874590875733110709011473
absolute error = 1e-31
relative error = 6.4338029434813959092553585518174e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.772
y[1] (analytic) = 1.5544215157227861401676235043772
y[1] (numeric) = 1.5544215157227861401676235043772
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=770.6MB, alloc=4.5MB, time=34.40
x[1] = 2.773
y[1] (analytic) = 1.5545516703006463778706375513101
y[1] (numeric) = 1.5545516703006463778706375513102
absolute error = 1e-31
relative error = 6.4327228171618285194563476884238e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.774
y[1] (analytic) = 1.5546811526720494818519984604995
y[1] (numeric) = 1.5546811526720494818519984604996
absolute error = 1e-31
relative error = 6.4321870647321335866890619783151e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.775
y[1] (analytic) = 1.5548099643190654724758513804362
y[1] (numeric) = 1.5548099643190654724758513804363
absolute error = 1e-31
relative error = 6.4316541760648770974255072165972e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.776
y[1] (analytic) = 1.5549381067264472667604958260652
y[1] (numeric) = 1.5549381067264472667604958260653
absolute error = 1e-31
relative error = 6.4311241436179244575483600381267e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.777
y[1] (analytic) = 1.5550655813816247393686972758794
y[1] (numeric) = 1.5550655813816247393686972758796
absolute error = 2e-31
relative error = 1.2861193919699937222405951595962e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.778
y[1] (analytic) = 1.5551923897746987728901717604266
y[1] (numeric) = 1.5551923897746987728901717604268
absolute error = 2e-31
relative error = 1.2860145234440998326985233443646e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.779
y[1] (analytic) = 1.5553185333984352974400423043566
y[1] (numeric) = 1.5553185333984352974400423043568
absolute error = 2e-31
relative error = 1.2859102216379543253089307492987e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.78
y[1] (analytic) = 1.5554440137482593195971088202376
y[1] (numeric) = 1.5554440137482593195971088202378
absolute error = 2e-31
relative error = 1.2858064850437553578263118991554e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.781
y[1] (analytic) = 1.5555688323222489407058156930996
y[1] (numeric) = 1.5555688323222489407058156930997
absolute error = 1e-31
relative error = 6.4285165607692102100322414747626e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.782
y[1] (analytic) = 1.5556929906211293645658438398585
y[1] (numeric) = 1.5556929906211293645658438398586
absolute error = 1e-31
relative error = 6.4280035073034418353209894136115e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.783
y[1] (analytic) = 1.5558164901482668945332964772646
y[1] (numeric) = 1.5558164901482668945332964772647
absolute error = 1e-31
relative error = 6.4274932572844857397730287029062e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.784
y[1] (analytic) = 1.5559393324096629200574901856267
y[1] (numeric) = 1.5559393324096629200574901856267
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.785
y[1] (analytic) = 1.5560615189139478926774051131303
y[1] (numeric) = 1.5560615189139478926774051131303
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=774.4MB, alloc=4.5MB, time=34.58
x[1] = 2.786
y[1] (analytic) = 1.5561830511723752915018903269182
y[1] (numeric) = 1.5561830511723752915018903269182
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.787
y[1] (analytic) = 1.5563039306988155781977623820639
y[1] (numeric) = 1.5563039306988155781977623820639
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.788
y[1] (analytic) = 1.5564241590097501415099771479852
y[1] (numeric) = 1.5564241590097501415099771479852
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.789
y[1] (analytic) = 1.5565437376242652313380968035363
y[1] (numeric) = 1.5565437376242652313380968035363
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.79
y[1] (analytic) = 1.556662668064045882393315686822
y[1] (numeric) = 1.556662668064045882393315686822
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.791
y[1] (analytic) = 1.5567809518533698274603503635296
y[1] (numeric) = 1.5567809518533698274603503635296
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.792
y[1] (analytic) = 1.5568985905191014002885408581021
y[1] (numeric) = 1.556898590519101400288540858102
absolute error = 1e-31
relative error = 6.4230259188980306362859770007308e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.793
y[1] (analytic) = 1.5570155855906854281365514752179
y[1] (numeric) = 1.5570155855906854281365514752178
absolute error = 1e-31
relative error = 6.4225432889332943110205936864082e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.794
y[1] (analytic) = 1.5571319386001411139951010246319
y[1] (numeric) = 1.5571319386001411139951010246318
absolute error = 1e-31
relative error = 6.4220633795425084455844073127099e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.795
y[1] (analytic) = 1.5572476510820559085121935502983
y[1] (numeric) = 1.5572476510820559085121935502982
absolute error = 1e-31
relative error = 6.4215861831941019326338727609077e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.796
y[1] (analytic) = 1.5573627245735793716453618546825
y[1] (numeric) = 1.5573627245735793716453618546824
absolute error = 1e-31
relative error = 6.4211116923567658154846912883072e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.797
y[1] (analytic) = 1.5574771606144170240654772011032
y[1] (numeric) = 1.5574771606144170240654772011031
absolute error = 1e-31
relative error = 6.4206398994994247879394255785887e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.798
y[1] (analytic) = 1.5575909607468241883367195706678
y[1] (numeric) = 1.5575909607468241883367195706677
absolute error = 1e-31
relative error = 6.4201707970912088212679714420708e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=778.2MB, alloc=4.5MB, time=34.74
x[1] = 2.799
y[1] (analytic) = 1.5577041265155998198973437457085
y[1] (numeric) = 1.5577041265155998198973437457084
absolute error = 1e-31
relative error = 6.4197043776014249185563986143747e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.8
y[1] (analytic) = 1.5578166594680803278659172884292
y[1] (numeric) = 1.5578166594680803278659172884291
absolute error = 1e-31
relative error = 6.4192406334995289966412676998929e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.801
y[1] (analytic) = 1.557928561154133385697747181572
y[1] (numeric) = 1.5579285611541333856977471815719
absolute error = 1e-31
relative error = 6.4187795572550978958481172023393e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.802
y[1] (analytic) = 1.5580398331261517317162524971453
y[1] (numeric) = 1.5580398331261517317162524971453
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.803
y[1] (analytic) = 1.5581504769390469595440809594561
y[1] (numeric) = 1.558150476939046959544080959456
absolute error = 1e-31
relative error = 6.4178653782173750911986697791869e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.804
y[1] (analytic) = 1.5582604941502432984588076697002
y[1] (numeric) = 1.5582604941502432984588076697001
absolute error = 1e-31
relative error = 6.4174122603635915667595570572183e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.805
y[1] (analytic) = 1.5583698863196713836980945610246
y[1] (numeric) = 1.5583698863196713836980945610246
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.806
y[1] (analytic) = 1.5584786550097620167392293551161
y[1] (numeric) = 1.558478655009762016739229355116
absolute error = 1e-31
relative error = 6.4165139303350689032084117425341e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.807
y[1] (analytic) = 1.5585868017854399155780028938405
y[1] (numeric) = 1.5585868017854399155780028938405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.808
y[1] (analytic) = 1.5586943282141174550319237220928
y[1] (numeric) = 1.5586943282141174550319237220928
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.809
y[1] (analytic) = 1.5588012358656883970928087006499
y[1] (numeric) = 1.5588012358656883970928087006499
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.81
y[1] (analytic) = 1.5589075263125216113538282303071
y[1] (numeric) = 1.5589075263125216113538282303071
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.811
y[1] (analytic) = 1.5590132011294547855361243707431
y[1] (numeric) = 1.5590132011294547855361243707431
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.812
y[1] (analytic) = 1.5591182618937881261401597392553
y[1] (numeric) = 1.5591182618937881261401597392554
absolute error = 1e-31
relative error = 6.4138816434960277490938304717391e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=782.0MB, alloc=4.5MB, time=34.91
TOP MAIN SOLVE Loop
x[1] = 2.813
y[1] (analytic) = 1.5592227101852780492469945755712
y[1] (numeric) = 1.5592227101852780492469945755713
absolute error = 1e-31
relative error = 6.4134519941745384952609459420170e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.814
y[1] (analytic) = 1.5593265475861308614947287592142
y[1] (numeric) = 1.5593265475861308614947287592142
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.815
y[1] (analytic) = 1.5594297756809964312553848652319
y[1] (numeric) = 1.559429775680996431255384865232
absolute error = 1e-31
relative error = 6.4126003978813614829022562303735e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.816
y[1] (analytic) = 1.5595323960569618500375475423157
y[1] (numeric) = 1.5595323960569618500375475423158
absolute error = 1e-31
relative error = 6.4121784358461960757648363817034e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.817
y[1] (analytic) = 1.5596344103035450841401135943012
y[1] (numeric) = 1.5596344103035450841401135943013
absolute error = 1e-31
relative error = 6.4117590211758293204309659389408e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.818
y[1] (analytic) = 1.5597358200126886165825461415875
y[1] (numeric) = 1.5597358200126886165825461415876
absolute error = 1e-31
relative error = 6.4113421463377361800446450153051e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.819
y[1] (analytic) = 1.5598366267787530793370651329787
y[1] (numeric) = 1.5598366267787530793370651329788
absolute error = 1e-31
relative error = 6.4109278037990308296452942832062e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.82
y[1] (analytic) = 1.559936832198510875888245270697
y[1] (numeric) = 1.559936832198510875888245270697
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.821
y[1] (analytic) = 1.5600364378711397941455311016706
y[1] (numeric) = 1.5600364378711397941455311016706
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.822
y[1] (analytic) = 1.5601354453982166097342176165227
y[1] (numeric) = 1.5601354453982166097342176165227
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.823
y[1] (analytic) = 1.560233856383710679690483183807
y[1] (numeric) = 1.560233856383710679690483183807
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.824
y[1] (analytic) = 1.5603316724339775265861000308185
y[1] (numeric) = 1.5603316724339775265861000308186
absolute error = 1e-31
relative error = 6.4088938119168577098211718621839e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.825
y[1] (analytic) = 1.560428895157752413108485763583
y[1] (numeric) = 1.560428895157752413108485763583
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=785.8MB, alloc=4.5MB, time=35.08
x[1] = 2.826
y[1] (analytic) = 1.5605255261661439071217975972501
y[1] (numeric) = 1.5605255261661439071217975972501
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.827
y[1] (analytic) = 1.5606215670726274372348090439356
y[1] (numeric) = 1.5606215670726274372348090439356
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.828
y[1] (analytic) = 1.5607170194930388389013467779121
y[1] (numeric) = 1.5607170194930388389013467779121
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.829
y[1] (analytic) = 1.5608118850455678910791032677955
y[1] (numeric) = 1.5608118850455678910791032677955
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.83
y[1] (analytic) = 1.5609061653507518434726785318593
y[1] (numeric) = 1.5609061653507518434726785318593
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.831
y[1] (analytic) = 1.5609998620314689343867420356795
y[1] (numeric) = 1.5609998620314689343867420356796
absolute error = 1e-31
relative error = 6.4061504701134978519199905540465e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.832
y[1] (analytic) = 1.5610929767129318992152433108195
y[1] (numeric) = 1.5610929767129318992152433108196
absolute error = 1e-31
relative error = 6.4057683617642024390958052548089e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.833
y[1] (analytic) = 1.5611855110226814695926373290565
y[1] (numeric) = 1.5611855110226814695926373290566
absolute error = 1e-31
relative error = 6.4053886802019624760794848520446e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.834
y[1] (analytic) = 1.5612774665905798632331280185813
y[1] (numeric) = 1.5612774665905798632331280185814
absolute error = 1e-31
relative error = 6.4050114178854927717368094700586e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.835
y[1] (analytic) = 1.5613688450488042644839705565166
y[1] (numeric) = 1.5613688450488042644839705565166
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.836
y[1] (analytic) = 1.5614596480318402956189102158516
y[1] (numeric) = 1.5614596480318402956189102158516
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.837
y[1] (analytic) = 1.5615498771764754788978725843337
y[1] (numeric) = 1.5615498771764754788978725843337
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.838
y[1] (analytic) = 1.561639534121792689419056907838
y[1] (numeric) = 1.561639534121792689419056907838
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=789.6MB, alloc=4.5MB, time=35.25
x[1] = 2.839
y[1] (analytic) = 1.5617286205091635987896211411125
y[1] (numeric) = 1.5617286205091635987896211411125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.84
y[1] (analytic) = 1.5618171379822421096411840144164
y[1] (numeric) = 1.5618171379822421096411840144164
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.841
y[1] (analytic) = 1.5619050881869577810164060452899
y[1] (numeric) = 1.5619050881869577810164060452899
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.842
y[1] (analytic) = 1.5619924727715092446529479403652
y[1] (numeric) = 1.5619924727715092446529479403652
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.843
y[1] (analytic) = 1.562079293386357612191141242606
y[1] (numeric) = 1.562079293386357612191141242606
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.844
y[1] (analytic) = 1.5621655516842198733317423845034
y[1] (numeric) = 1.5621655516842198733317423845034
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.845
y[1] (analytic) = 1.5622512493200622849701775074095
y[1] (numeric) = 1.5622512493200622849701775074095
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.846
y[1] (analytic) = 1.5623363879510937513337215012144
y[1] (numeric) = 1.5623363879510937513337215012144
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.847
y[1] (analytic) = 1.5624209692367591951480907068241
y[1] (numeric) = 1.5624209692367591951480907068242
absolute error = 1e-31
relative error = 6.4003237263802137987403008622445e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.848
y[1] (analytic) = 1.5625049948387329198599646062311
y[1] (numeric) = 1.5625049948387329198599646062311
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.849
y[1] (analytic) = 1.5625884664209119629419876012379
y[1] (numeric) = 1.562588466420911962941987601238
absolute error = 1e-31
relative error = 6.3996376620549789400192376259463e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.85
y[1] (analytic) = 1.5626713856494094403068376519681
y[1] (numeric) = 1.5626713856494094403068376519682
absolute error = 1e-31
relative error = 6.3992980813712381471809469431096e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.851
y[1] (analytic) = 1.562753754192547881856984110012
y[1] (numeric) = 1.5627537541925478818569841100121
absolute error = 1e-31
relative error = 6.3989607915975568685096885079711e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.852
y[1] (analytic) = 1.5628355737208525581967925382928
y[1] (numeric) = 1.5628355737208525581967925382929
absolute error = 1e-31
relative error = 6.3986257851756323144636951241197e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=793.4MB, alloc=4.5MB, time=35.41
TOP MAIN SOLVE Loop
x[1] = 2.853
y[1] (analytic) = 1.5629168459070447985336696603349
y[1] (numeric) = 1.562916845907044798533669660335
absolute error = 1e-31
relative error = 6.3982930545460091738789450733894e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.854
y[1] (analytic) = 1.5629975724260352997949768254452
y[1] (numeric) = 1.5629975724260352997949768254453
absolute error = 1e-31
relative error = 6.3979625921480587488571957601467e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.855
y[1] (analytic) = 1.5630777549549174269874755132325
y[1] (numeric) = 1.5630777549549174269874755132326
absolute error = 1e-31
relative error = 6.3976343904199582313891642293186e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.856
y[1] (analytic) = 1.56315739517296050482610343075
y[1] (numeric) = 1.5631573951729605048261034307501
absolute error = 1e-31
relative error = 6.3973084417986701220053460437568e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.857
y[1] (analytic) = 1.5632364947616031006589146782125
y[1] (numeric) = 1.5632364947616031006589146782125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.858
y[1] (analytic) = 1.5633150554044462987150522745704
y[1] (numeric) = 1.5633150554044462987150522745704
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.859
y[1] (analytic) = 1.5633930787872469657026560420845
y[1] (numeric) = 1.5633930787872469657026560420845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.86
y[1] (analytic) = 1.563470566597911007783643449289
y[1] (numeric) = 1.563470566597911007783643449289
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.861
y[1] (analytic) = 1.5635475205264866189523355042298
y[1] (numeric) = 1.5635475205264866189523355042298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.862
y[1] (analytic) = 1.563623942265157520844934174472
y[1] (numeric) = 1.5636239422651575208449341744719
absolute error = 1e-31
relative error = 6.3953996416257302909819098121988e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.863
y[1] (analytic) = 1.5636998335082361940068920869533
y[1] (numeric) = 1.5636998335082361940068920869532
absolute error = 1e-31
relative error = 6.3950892528807887758989668355450e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.864
y[1] (analytic) = 1.56377519595215710064524942918
y[1] (numeric) = 1.5637751959521571006452494291799
absolute error = 1e-31
relative error = 6.3947810566922081212567019239016e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.865
y[1] (analytic) = 1.5638500312954698988930470333806
y[1] (numeric) = 1.5638500312954698988930470333805
absolute error = 1e-31
relative error = 6.3944750454851160244254907319486e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=797.3MB, alloc=4.5MB, time=35.58
x[1] = 2.866
y[1] (analytic) = 1.563924341238832648612958576918
y[1] (numeric) = 1.563924341238832648612958576918
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.867
y[1] (analytic) = 1.5639981274850050087673186753728
y[1] (numeric) = 1.5639981274850050087673186753727
absolute error = 1e-31
relative error = 6.3938695477088261525497267288975e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.868
y[1] (analytic) = 1.5640713917388414263817573791132
y[1] (numeric) = 1.5640713917388414263817573791131
absolute error = 1e-31
relative error = 6.3935700459827447784027850251752e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.869
y[1] (analytic) = 1.5641441357072843171296852097351
y[1] (numeric) = 1.5641441357072843171296852097351
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.87
y[1] (analytic) = 1.5642163610993572375649063893374
y[1] (numeric) = 1.5642163610993572375649063893374
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.871
y[1] (analytic) = 1.5642880696261580490296713230762
y[1] (numeric) = 1.5642880696261580490296713230763
absolute error = 1e-31
relative error = 6.3926844384806013526774822747576e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.872
y[1] (analytic) = 1.5643592630008520732655126936748
y[1] (numeric) = 1.5643592630008520732655126936749
absolute error = 1e-31
relative error = 6.3923935099264683501206428465298e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.873
y[1] (analytic) = 1.5644299429386652397542427154168
y[1] (numeric) = 1.5644299429386652397542427154169
absolute error = 1e-31
relative error = 6.3921047057024132972568874221893e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.874
y[1] (analytic) = 1.5645001111568772248165221744986
y[1] (numeric) = 1.5645001111568772248165221744987
absolute error = 1e-31
relative error = 6.3918180182201785268964904692676e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.875
y[1] (analytic) = 1.5645697693748145824954448523159
y[1] (numeric) = 1.564569769374814582495444852316
absolute error = 1e-31
relative error = 6.3915334398899280165127504539443e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.876
y[1] (analytic) = 1.5646389193138438672526137881885
y[1] (numeric) = 1.5646389193138438672526137881886
absolute error = 1e-31
relative error = 6.3912509631202297104258305904344e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.877
y[1] (analytic) = 1.5647075626973647485042185880479
y[1] (numeric) = 1.5647075626973647485042185880481
absolute error = 2e-31
relative error = 1.2781941160636075980769947240425e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.878
y[1] (analytic) = 1.5647757012508031170246556255986
y[1] (numeric) = 1.5647757012508031170246556255988
absolute error = 2e-31
relative error = 1.2781384567777352589724684877347e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=801.1MB, alloc=4.5MB, time=35.75
x[1] = 2.879
y[1] (analytic) = 1.5648433367016041832452655122798
y[1] (numeric) = 1.56484333670160418324526551228
absolute error = 2e-31
relative error = 1.2780832132471639774745086727862e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.88
y[1] (analytic) = 1.5649104707792255674757946318768
y[1] (numeric) = 1.5649104707792255674757946318771
absolute error = 3e-31
relative error = 1.9170425759284436322398043592451e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.881
y[1] (analytic) = 1.5649771052151303820762198447219
y[1] (numeric) = 1.5649771052151303820762198447221
absolute error = 2e-31
relative error = 1.2779739673731961542757149775798e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.882
y[1] (analytic) = 1.5650432417427803056066076649616
y[1] (numeric) = 1.5650432417427803056066076649618
absolute error = 2e-31
relative error = 1.2779199619895909445307059009534e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.883
y[1] (analytic) = 1.5651088820976286489827113022213
y[1] (numeric) = 1.5651088820976286489827113022214
absolute error = 1e-31
relative error = 6.3893318314043138663868142890609e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.884
y[1] (analytic) = 1.5651740280171134136650409360311
y[1] (numeric) = 1.5651740280171134136650409360312
absolute error = 1e-31
relative error = 6.3890658936302393540797376957117e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.885
y[1] (analytic) = 1.5652386812406503419091744574786
y[1] (numeric) = 1.5652386812406503419091744574788
absolute error = 2e-31
relative error = 1.2777603978038327838835877024882e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.886
y[1] (analytic) = 1.5653028435096259591051076675778
y[1] (numeric) = 1.565302843509625959105107667578
absolute error = 2e-31
relative error = 1.2777080219925511397258454506772e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.887
y[1] (analytic) = 1.5653665165673906082334745656765
y[1] (numeric) = 1.5653665165673906082334745656767
absolute error = 2e-31
relative error = 1.2776560497701804404814028028574e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.888
y[1] (analytic) = 1.5654297021592514764664998937346
y[1] (numeric) = 1.5654297021592514764664998937347
absolute error = 1e-31
relative error = 6.3880223980716944397200477653764e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.889
y[1] (analytic) = 1.5654924020324656139415775233642
y[1] (numeric) = 1.5654924020324656139415775233643
absolute error = 1e-31
relative error = 6.3877665500114111938298675758177e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.89
y[1] (analytic) = 1.5655546179362329447353995820108
y[1] (numeric) = 1.5655546179362329447353995820108
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.891
y[1] (analytic) = 1.5656163516216892700665924124386
y[1] (numeric) = 1.5656163516216892700665924124386
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=804.9MB, alloc=4.5MB, time=35.91
x[1] = 2.892
y[1] (analytic) = 1.5656776048418992637548465456494
y[1] (numeric) = 1.5656776048418992637548465456494
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.893
y[1] (analytic) = 1.5657383793518494599645588413735
y[1] (numeric) = 1.5657383793518494599645588413735
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.894
y[1] (analytic) = 1.565798676908441233261035812216
y[1] (numeric) = 1.565798676908441233261035812216
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.895
y[1] (analytic) = 1.5658584992704837710073378972845
y[1] (numeric) = 1.5658584992704837710073378972845
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.896
y[1] (analytic) = 1.5659178481986870381298750885509
y[1] (numeric) = 1.5659178481986870381298750885509
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.897
y[1] (analytic) = 1.5659767254556547342808948381854
y[1] (numeric) = 1.5659767254556547342808948381854
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.898
y[1] (analytic) = 1.5660351328058772434260335875193
y[1] (numeric) = 1.5660351328058772434260335875192
absolute error = 1e-31
relative error = 6.3855527826396351405575827210240e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.899
y[1] (analytic) = 1.5660930720157245758851335580307
y[1] (numeric) = 1.5660930720157245758851335580306
absolute error = 1e-31
relative error = 6.3853165426043041747618560266344e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.9
y[1] (analytic) = 1.5661505448534393028545566316756
y[1] (numeric) = 1.5661505448534393028545566316756
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.901
y[1] (analytic) = 1.5662075530891294834392572218878
y[1] (numeric) = 1.5662075530891294834392572218877
absolute error = 1e-31
relative error = 6.3848498114291252140769641583946e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.902
y[1] (analytic) = 1.5662640984947615842229059975246
y[1] (numeric) = 1.5662640984947615842229059975246
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.903
y[1] (analytic) = 1.5663201828441533914043861698255
y[1] (numeric) = 1.5663201828441533914043861698255
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.904
y[1] (analytic) = 1.5663758079129669155290137869449
y[1] (numeric) = 1.5663758079129669155290137869449
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=808.7MB, alloc=4.5MB, time=36.08
x[1] = 2.905
y[1] (analytic) = 1.5664309754787012888428631017199
y[1] (numeric) = 1.5664309754787012888428631017199
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.906
y[1] (analytic) = 1.5664856873206856552986075859004
y[1] (numeric) = 1.5664856873206856552986075859004
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.907
y[1] (analytic) = 1.5665399452200720532413165579972
y[1] (numeric) = 1.5665399452200720532413165579972
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.908
y[1] (analytic) = 1.5665937509598282908026766720728
y[1] (numeric) = 1.5665937509598282908026766720729
absolute error = 1e-31
relative error = 6.3832758134475841527240484083374e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.909
y[1] (analytic) = 1.5666471063247308140321366810887
y[1] (numeric) = 1.5666471063247308140321366810887
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.91
y[1] (analytic) = 1.5667000131013575677935029407206
y[1] (numeric) = 1.5667000131013575677935029407207
absolute error = 1e-31
relative error = 6.3828428648599561680157338861651e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.911
y[1] (analytic) = 1.5667524730780808494555420577427
y[1] (numeric) = 1.5667524730780808494555420577428
absolute error = 1e-31
relative error = 6.3826291464877993490695650195941e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.912
y[1] (analytic) = 1.5668044880450601554051759110392
y[1] (numeric) = 1.5668044880450601554051759110392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.913
y[1] (analytic) = 1.5668560597942350204118829829271
y[1] (numeric) = 1.5668560597942350204118829829271
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.914
y[1] (analytic) = 1.5669071901193178498719485336371
y[1] (numeric) = 1.5669071901193178498719485336371
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.915
y[1] (analytic) = 1.5669578808157867449612346323939
y[1] (numeric) = 1.5669578808157867449612346323939
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.916
y[1] (analytic) = 1.5670081336808783207251694244504
y[1] (numeric) = 1.5670081336808783207251694244504
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.917
y[1] (analytic) = 1.5670579505135805171346832645422
y[1] (numeric) = 1.5670579505135805171346832645422
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.918
y[1] (analytic) = 1.5671073331146254031368474834332
y[1] (numeric) = 1.5671073331146254031368474834332
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=812.5MB, alloc=4.5MB, time=36.24
x[1] = 2.919
y[1] (analytic) = 1.567156283286481973728999575402
y[1] (numeric) = 1.567156283286481973728999575402
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.92
y[1] (analytic) = 1.5672048028333489400851665005648
y[1] (numeric) = 1.5672048028333489400851665005647
absolute error = 1e-31
relative error = 6.3807869794177531710963863418527e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.921
y[1] (analytic) = 1.5672528935611475127636255867281
y[1] (numeric) = 1.5672528935611475127636255867281
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.922
y[1] (analytic) = 1.5673005572775141780244701909064
y[1] (numeric) = 1.5673005572775141780244701909064
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.923
y[1] (analytic) = 1.5673477957917934672860748406085
y[1] (numeric) = 1.5673477957917934672860748406085
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.924
y[1] (analytic) = 1.5673946109150307197493820193932
y[1] (numeric) = 1.5673946109150307197493820193932
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.925
y[1] (analytic) = 1.5674410044599648382189600898962
y[1] (numeric) = 1.5674410044599648382189600898962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.926
y[1] (analytic) = 1.5674869782410210381498090604384
y[1] (numeric) = 1.5674869782410210381498090604384
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.927
y[1] (analytic) = 1.5675325340743035899489179983237
y[1] (numeric) = 1.5675325340743035899489179983237
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.928
y[1] (analytic) = 1.5675776737775885545606048739203
y[1] (numeric) = 1.5675776737775885545606048739203
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.929
y[1] (analytic) = 1.5676223991703165123646964844805
y[1] (numeric) = 1.5676223991703165123646964844805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.93
y[1] (analytic) = 1.5676667120735852854166328552838
y[1] (numeric) = 1.5676667120735852854166328552838
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.931
y[1] (analytic) = 1.5677106143101426530586071479824
y[1] (numeric) = 1.5677106143101426530586071479824
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=816.3MB, alloc=4.5MB, time=36.40
x[1] = 2.932
y[1] (analytic) = 1.567754107704379060930878621877
y[1] (numeric) = 1.5677541077043790609308786218771
absolute error = 1e-31
relative error = 6.3785512988658252808553821762604e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.933
y[1] (analytic) = 1.5677971940823203234124225931498
y[1] (numeric) = 1.5677971940823203234124225931498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.934
y[1] (analytic) = 1.567839875271620319520107619724
y[1] (numeric) = 1.567839875271620319520107619724
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.935
y[1] (analytic) = 1.5678821531015536822956163053037
y[1] (numeric) = 1.5678821531015536822956163053037
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.936
y[1] (analytic) = 1.5679240294030084817093521651623
y[1] (numeric) = 1.5679240294030084817093521651623
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.937
y[1] (analytic) = 1.5679655060084789011106009282962
y[1] (numeric) = 1.5679655060084789011106009282962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.938
y[1] (analytic) = 1.5680065847520579072532404655339
y[1] (numeric) = 1.5680065847520579072532404655339
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.939
y[1] (analytic) = 1.5680472674694299139263192309873
y[1] (numeric) = 1.5680472674694299139263192309874
absolute error = 1e-31
relative error = 6.3773587744828338898646647693040e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.94
y[1] (analytic) = 1.5680875559978634392188486847504
y[1] (numeric) = 1.5680875559978634392188486847504
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.941
y[1] (analytic) = 1.5681274521762037564481806278836
y[1] (numeric) = 1.5681274521762037564481806278836
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.942
y[1] (analytic) = 1.5681669578448655387813657263779
y[1] (numeric) = 1.5681669578448655387813657263779
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.943
y[1] (analytic) = 1.5682060748458254975789147288558
y[1] (numeric) = 1.5682060748458254975789147288558
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.944
y[1] (analytic) = 1.5682448050226150144904089931493
y[1] (numeric) = 1.5682448050226150144904089931492
absolute error = 1e-31
relative error = 6.3765554765257418502970736929631e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=820.1MB, alloc=4.5MB, time=36.57
x[1] = 2.945
y[1] (analytic) = 1.5682831502203127673314319294886
y[1] (numeric) = 1.5682831502203127673314319294886
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.946
y[1] (analytic) = 1.5683211122855373497713178427449
y[1] (numeric) = 1.5683211122855373497713178427449
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.947
y[1] (analytic) = 1.5683586930664398848612394128892
y[1] (numeric) = 1.5683586930664398848612394128892
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.948
y[1] (analytic) = 1.5683958944126966324321796914707
y[1] (numeric) = 1.5683958944126966324321796914706
absolute error = 1e-31
relative error = 6.3759411993007108308987983008154e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.949
y[1] (analytic) = 1.5684327181755015903923590123686
y[1] (numeric) = 1.5684327181755015903923590123685
absolute error = 1e-31
relative error = 6.3757915045489623935156685562682e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.95
y[1] (analytic) = 1.5684691662075590899537116172458
y[1] (numeric) = 1.5684691662075590899537116172458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.951
y[1] (analytic) = 1.5685052403630763848170310799244
y[1] (numeric) = 1.5685052403630763848170310799243
absolute error = 1e-31
relative error = 6.3754967102852698809069644172291e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.952
y[1] (analytic) = 1.5685409424977562343454277792193
y[1] (numeric) = 1.5685409424977562343454277792192
absolute error = 1e-31
relative error = 6.3753515952703955605833922508968e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.953
y[1] (analytic) = 1.5685762744687894807557657165133
y[1] (numeric) = 1.5685762744687894807557657165132
absolute error = 1e-31
relative error = 6.3752079913274077458318207212642e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.954
y[1] (analytic) = 1.5686112381348476203577699024268
y[1] (numeric) = 1.5686112381348476203577699024268
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.955
y[1] (analytic) = 1.5686458353560753688705193462495
y[1] (numeric) = 1.5686458353560753688705193462495
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.956
y[1] (analytic) = 1.5686800679940832208460643722474
y[1] (numeric) = 1.5686800679940832208460643722474
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.957
y[1] (analytic) = 1.568713937911940003229930558457
y[1] (numeric) = 1.568713937911940003229930558457
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.958
y[1] (analytic) = 1.568747446974165423088295046021
y[1] (numeric) = 1.568747446974165423088295046021
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
memory used=824.0MB, alloc=4.5MB, time=36.75
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.959
y[1] (analytic) = 1.5687805970467226095316443004244
y[1] (numeric) = 1.5687805970467226095316443004243
absolute error = 1e-31
relative error = 6.3743776655736980926748202181373e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.96
y[1] (analytic) = 1.5688133899970106498647456200553
y[1] (numeric) = 1.5688133899970106498647456200552
absolute error = 1e-31
relative error = 6.3742444217785869665635555901471e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.961
y[1] (analytic) = 1.5688458276938571199927877822541
y[1] (numeric) = 1.568845827693857119992787782254
absolute error = 1e-31
relative error = 6.3741126269237140088801401556056e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.962
y[1] (analytic) = 1.5688779120075106091135691923269
y[1] (numeric) = 1.5688779120075106091135691923268
absolute error = 1e-31
relative error = 6.3739822732312949477288201877668e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.963
y[1] (analytic) = 1.5689096448096332387256347568052
y[1] (numeric) = 1.5689096448096332387256347568051
absolute error = 1e-31
relative error = 6.3738533529210152950734950678544e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.964
y[1] (analytic) = 1.5689410279732931759822854384288
y[1] (numeric) = 1.5689410279732931759822854384287
absolute error = 1e-31
relative error = 6.3737258582100269831380634306589e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.965
y[1] (analytic) = 1.5689720633729571414214070668319
y[1] (numeric) = 1.5689720633729571414214070668318
absolute error = 1e-31
relative error = 6.3735997813129451782962809523329e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.966
y[1] (analytic) = 1.569002752884482911101087475627
y[1] (numeric) = 1.5690027528844829111010874756269
absolute error = 1e-31
relative error = 6.3734751144418452727788077471967e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.967
y[1] (analytic) = 1.5690330983851118131710134134219
y[1] (numeric) = 1.5690330983851118131710134134218
absolute error = 1e-31
relative error = 6.3733518498062600545245342153250e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.968
y[1] (analytic) = 1.5690631017534612189096609331761
y[1] (numeric) = 1.569063101753461218909660933176
absolute error = 1e-31
relative error = 6.3732299796131770555026659289915e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.969
y[1] (analytic) = 1.5690927648695170282573151011247
y[1] (numeric) = 1.5690927648695170282573151011246
absolute error = 1e-31
relative error = 6.3731094960670360788314206931786e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.97
y[1] (analytic) = 1.5691220896146261498749768831702
y[1] (numeric) = 1.5691220896146261498749768831701
absolute error = 1e-31
relative error = 6.3729903913697269050185441931360e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.971
y[1] (analytic) = 1.5691510778714889757592369630891
y[1] (numeric) = 1.569151077871488975759236963089
absolute error = 1e-31
relative error = 6.3728726577205871776481845803506e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=827.8MB, alloc=4.5MB, time=36.92
TOP MAIN SOLVE Loop
x[1] = 2.972
y[1] (analytic) = 1.5691797315241518504432180230241
y[1] (numeric) = 1.569179731524151850443218023024
absolute error = 1e-31
relative error = 6.3727562873164004688379808775639e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.973
y[1] (analytic) = 1.5692080524579995348137086724506
y[1] (numeric) = 1.5692080524579995348137086724505
absolute error = 1e-31
relative error = 6.3726412723513945247895151341393e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.974
y[1] (analytic) = 1.5692360425597476645746337470355
y[1] (numeric) = 1.5692360425597476645746337470354
absolute error = 1e-31
relative error = 6.3725276050172396917545537658853e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.975
y[1] (analytic) = 1.5692637037174352033870271134496
y[1] (numeric) = 1.5692637037174352033870271134495
absolute error = 1e-31
relative error = 6.3724152775030475227387593994781e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.976
y[1] (analytic) = 1.5692910378204168907156944101815
y[1] (numeric) = 1.5692910378204168907156944101815
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.977
y[1] (analytic) = 1.5693180467593556844127743276321
y[1] (numeric) = 1.5693180467593556844127743276321
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.978
y[1] (analytic) = 1.569344732426215198068428083167
y[1] (numeric) = 1.569344732426215198068428083167
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.979
y[1] (analytic) = 1.569371096714252133158907678287
y[1] (numeric) = 1.569371096714252133158907678287
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.98
y[1] (analytic) = 1.5693971415180087060222743355522
y[1] (numeric) = 1.5693971415180087060222743355522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.981
y[1] (analytic) = 1.5694228687333050696920592022887
y[1] (numeric) = 1.5694228687333050696920592022887
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.982
y[1] (analytic) = 1.5694482802572317306191789763309
y[1] (numeric) = 1.5694482802572317306191789763309
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.983
y[1] (analytic) = 1.5694733779881419603124395560262
y[1] (numeric) = 1.5694733779881419603124395560262
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.984
y[1] (analytic) = 1.5694981638256442019279811423693
y[1] (numeric) = 1.5694981638256442019279811423693
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=831.6MB, alloc=4.5MB, time=37.09
x[1] = 2.985
y[1] (analytic) = 1.569522639670594471838038425361
y[1] (numeric) = 1.569522639670594471838038425361
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.986
y[1] (analytic) = 1.5695468074250887562094095694204
y[1] (numeric) = 1.5695468074250887562094095694203
absolute error = 1e-31
relative error = 6.3712658664862911076827009085926e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.987
y[1] (analytic) = 1.569570668992455402622047673835
y[1] (numeric) = 1.569570668992455402622047673835
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.988
y[1] (analytic) = 1.569594226277247506758208223741
y[1] (numeric) = 1.5695942262772475067582082237409
absolute error = 1e-31
relative error = 6.3710733848186542632487038779481e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.989
y[1] (analytic) = 1.5696174811852352941926057648892
y[1] (numeric) = 1.5696174811852352941926057648891
absolute error = 1e-31
relative error = 6.3709789932059694179072289334674e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.99
y[1] (analytic) = 1.5696404356233984973140526314165
y[1] (numeric) = 1.5696404356233984973140526314164
absolute error = 1e-31
relative error = 6.3708858239424746666868716470493e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.991
y[1] (analytic) = 1.5696630914999187274090720298999
y[1] (numeric) = 1.5696630914999187274090720298999
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.992
y[1] (analytic) = 1.5696854507241718419379971350736
y[1] (numeric) = 1.5696854507241718419379971350736
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.993
y[1] (analytic) = 1.5697075152067203070340870826327
y[1] (numeric) = 1.5697075152067203070340870826327
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.994
y[1] (analytic) = 1.569729286859305555256209852479
y[1] (numeric) = 1.5697292868593055552562098524791
absolute error = 1e-31
relative error = 6.3705252133046922680064763099680e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.995
y[1] (analytic) = 1.569750767594840338625661021486
y[1] (numeric) = 1.5697507675948403386256610214861
absolute error = 1e-31
relative error = 6.3704380379580387746402347292714e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.996
y[1] (analytic) = 1.5697719593274010769777062283121
y[1] (numeric) = 1.5697719593274010769777062283122
absolute error = 1e-31
relative error = 6.3703520378110792091767305663062e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.997
y[1] (analytic) = 1.5697928639722202016584539338913
y[1] (numeric) = 1.5697928639722202016584539338914
absolute error = 1e-31
relative error = 6.3702672049966489963204286828269e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=835.4MB, alloc=4.5MB, time=37.26
x[1] = 2.998
y[1] (analytic) = 1.5698134834456784945976836799006
y[1] (numeric) = 1.5698134834456784945976836799007
absolute error = 1e-31
relative error = 6.3701835316450433323902601556517e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.999
y[1] (analytic) = 1.5698338196652974227882735436768
y[1] (numeric) = 1.5698338196652974227882735436769
absolute error = 1e-31
relative error = 6.3701010098840202239414124440999e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3
y[1] (analytic) = 1.569853874549731468202888861653
y[1] (numeric) = 1.5698538745497314682028888616531
absolute error = 1e-31
relative error = 6.3700196318388037148660301759091e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.001
y[1] (analytic) = 1.5698736500187604531786125443317
y[1] (numeric) = 1.5698736500187604531786125443318
absolute error = 1e-31
relative error = 6.3699393896320873022680567045972e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.002
y[1] (analytic) = 1.5698931479932818613002154340421
y[1] (numeric) = 1.5698931479932818613002154340422
absolute error = 1e-31
relative error = 6.3698602753840375414061479012344e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.003
y[1] (analytic) = 1.5699123703953031538127831621597
y[1] (numeric) = 1.5699123703953031538127831621597
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.004
y[1] (analytic) = 1.569931319147934081594433845037
y[1] (numeric) = 1.569931319147934081594433845037
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.005
y[1] (analytic) = 1.5699499961753789927198787175241
y[1] (numeric) = 1.5699499961753789927198787175241
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.006
y[1] (analytic) = 1.5699684034029291356455954395785
y[1] (numeric) = 1.5699684034029291356455954395786
absolute error = 1e-31
relative error = 6.3695549402936109494812317394777e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.007
y[1] (analytic) = 1.5699865427569549580474013250109
y[1] (numeric) = 1.5699865427569549580474013250109
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.008
y[1] (analytic) = 1.5700044161648984013412311318028
y[1] (numeric) = 1.5700044161648984013412311318028
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.009
y[1] (analytic) = 1.5700220255552651909179413206141
y[1] (numeric) = 1.5700220255552651909179413206141
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.01
y[1] (analytic) = 1.5700393728576171221229798319814
y[1] (numeric) = 1.5700393728576171221229798319814
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=839.2MB, alloc=4.5MB, time=37.43
x[1] = 3.011
y[1] (analytic) = 1.5700564600025643420117774532434
y[1] (numeric) = 1.5700564600025643420117774532434
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.012
y[1] (analytic) = 1.5700732889217576269117337433375
y[1] (numeric) = 1.5700732889217576269117337433376
absolute error = 1e-31
relative error = 6.3691294352682512271704006302753e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.013
y[1] (analytic) = 1.5700898615478806558216872572268
y[1] (numeric) = 1.5700898615478806558216872572269
absolute error = 1e-31
relative error = 6.3690622077780005616082796302445e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.014
y[1] (analytic) = 1.5701061798146422796797764617738
y[1] (numeric) = 1.5701061798146422796797764617739
absolute error = 1e-31
relative error = 6.3689960134928852912289236974999e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.015
y[1] (analytic) = 1.570122245656768786530614261311
y[1] (numeric) = 1.5701222456567687865306142613111
absolute error = 1e-31
relative error = 6.3689308445006363295998756875046e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.016
y[1] (analytic) = 1.5701380610099961626227154538961
y[1] (numeric) = 1.5701380610099961626227154538962
absolute error = 1e-31
relative error = 6.3688666928865281311179618005064e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.017
y[1] (analytic) = 1.5701536278110623494671327182235
y[1] (numeric) = 1.5701536278110623494671327182236
absolute error = 1e-31
relative error = 6.3688035507333851662959368751098e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.018
y[1] (analytic) = 1.5701689479976994968882728863247
y[1] (numeric) = 1.5701689479976994968882728863248
absolute error = 1e-31
relative error = 6.3687414101215885906258350234645e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.019
y[1] (analytic) = 1.570184023508626212097881288463
y[1] (numeric) = 1.570184023508626212097881288463
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.02
y[1] (analytic) = 1.5701988562835398048231978639501
y[1] (numeric) = 1.5701988562835398048231978639501
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.021
y[1] (analytic) = 1.5702134482631085285203045149218
y[1] (numeric) = 1.5702134482631085285203045149218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.022
y[1] (analytic) = 1.5702278013889638177036988393361
y[1] (numeric) = 1.5702278013889638177036988393361
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.023
y[1] (analytic) = 1.5702419176036925214231449145504
y[1] (numeric) = 1.5702419176036925214231449145505
absolute error = 1e-31
relative error = 6.3684454528259909565499872196841e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=843.0MB, alloc=4.5MB, time=37.59
x[1] = 3.024
y[1] (analytic) = 1.570255798850829132918867213719
y[1] (numeric) = 1.570255798850829132918867213719
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.025
y[1] (analytic) = 1.5702694470748480154861690238733
y[1] (numeric) = 1.5702694470748480154861690238733
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.026
y[1] (analytic) = 1.5702828642211556245805718968479
y[1] (numeric) = 1.570282864221155624580571896848
absolute error = 1e-31
relative error = 6.3682793895607455308116450230673e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.027
y[1] (analytic) = 1.5702960522360827261945877021225
y[1] (numeric) = 1.5702960522360827261945877021226
absolute error = 1e-31
relative error = 6.3682259060386224973323716245908e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.028
y[1] (analytic) = 1.5703090130668766115372497641161
y[1] (numeric) = 1.5703090130668766115372497641161
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.029
y[1] (analytic) = 1.5703217486616933080475443554291
y[1] (numeric) = 1.5703217486616933080475443554291
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.03
y[1] (analytic) = 1.5703342609695897867728984819222
y[1] (numeric) = 1.5703342609695897867728984819222
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.031
y[1] (analytic) = 1.5703465519405161661438944352895
y[1] (numeric) = 1.5703465519405161661438944352896
absolute error = 1e-31
relative error = 6.3680211146022208160158845477912e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.032
y[1] (analytic) = 1.5703586235253079121763960038744
y[1] (numeric) = 1.5703586235253079121763960038745
absolute error = 1e-31
relative error = 6.3679721626585762623194218563360e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.033
y[1] (analytic) = 1.5703704776756780351322855228217
y[1] (numeric) = 1.5703704776756780351322855228218
absolute error = 1e-31
relative error = 6.3679240931739278748887860888568e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.034
y[1] (analytic) = 1.5703821163442092826700251102154
y[1] (numeric) = 1.5703821163442092826700251102156
absolute error = 2e-31
relative error = 1.2735753796381259426852488208883e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.035
y[1] (analytic) = 1.5703935414843463295162694765468
y[1] (numeric) = 1.5703935414843463295162694765469
absolute error = 1e-31
relative error = 6.3678305697487357639104711685617e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.036
y[1] (analytic) = 1.5704047550503879636897716106473
y[1] (numeric) = 1.5704047550503879636897716106475
absolute error = 2e-31
relative error = 1.2735570199772020272063777637306e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=846.8MB, alloc=4.5MB, time=37.77
x[1] = 3.037
y[1] (analytic) = 1.5704157589974792693088364360473
y[1] (numeric) = 1.5704157589974792693088364360475
absolute error = 2e-31
relative error = 1.2735480961275874917990947992027e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.038
y[1] (analytic) = 1.5704265552816038060135911975203
y[1] (numeric) = 1.5704265552816038060135911975205
absolute error = 2e-31
relative error = 1.2735393408075466951847071972000e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.039
y[1] (analytic) = 1.5704371458595757850343548783062
y[1] (numeric) = 1.5704371458595757850343548783064
absolute error = 2e-31
relative error = 1.2735307524232711674177663697456e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.04
y[1] (analytic) = 1.5704475326890322419374023641022
y[1] (numeric) = 1.5704475326890322419374023641024
absolute error = 2e-31
relative error = 1.2735223293805030184412483900786e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.041
y[1] (analytic) = 1.5704577177284252060794323603294
y[1] (numeric) = 1.5704577177284252060794323603296
absolute error = 2e-31
relative error = 1.2735140700845371764018109768474e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.042
y[1] (analytic) = 1.5704677029370138668020612343624
y[1] (numeric) = 1.5704677029370138668020612343626
absolute error = 2e-31
relative error = 1.2735059729402236658667430928912e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.043
y[1] (analytic) = 1.5704774902748567363976779943011
y[1] (numeric) = 1.5704774902748567363976779943013
absolute error = 2e-31
relative error = 1.2734980363519699259869341101669e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.044
y[1] (analytic) = 1.5704870817028038098780085304161
y[1] (numeric) = 1.5704870817028038098780085304163
absolute error = 2e-31
relative error = 1.2734902587237431686497410364715e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.045
y[1] (analytic) = 1.5704964791824887215767500345564
y[1] (numeric) = 1.5704964791824887215767500345567
absolute error = 3e-31
relative error = 1.9102239576886091649977687492818e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.046
y[1] (analytic) = 1.5705056846763208986176491765247
y[1] (numeric) = 1.570505684676320898617649176525
absolute error = 3e-31
relative error = 1.9102127609415791130426055496826e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.047
y[1] (analytic) = 1.5705147001474777112794101546441
y[1] (numeric) = 1.5705147001474777112794101546444
absolute error = 3e-31
relative error = 1.9102017954485162164514810533029e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.048
y[1] (analytic) = 1.5705235275598966202888311504198
y[1] (numeric) = 1.5705235275598966202888311504201
absolute error = 3e-31
relative error = 1.9101910588127665037295478482024e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.049
y[1] (analytic) = 1.5705321688782673210735800042781
y[1] (numeric) = 1.5705321688782673210735800042784
absolute error = 3e-31
relative error = 1.9101805486370342506615188504344e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=850.7MB, alloc=4.5MB, time=37.94
x[1] = 3.05
y[1] (analytic) = 1.5705406260680238850060320908062
y[1] (numeric) = 1.5705406260680238850060320908065
absolute error = 3e-31
relative error = 1.9101702625233858787936677473070e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.051
y[1] (analytic) = 1.5705489010953368976696054076632
y[1] (numeric) = 1.5705489010953368976696054076636
absolute error = 4e-31
relative error = 2.5468802640976718857893000174556e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.052
y[1] (analytic) = 1.5705569959271055941790398023395
y[1] (numeric) = 1.5705569959271055941790398023399
absolute error = 4e-31
relative error = 2.5468671371832546767821365166072e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.053
y[1] (analytic) = 1.570564912530949991586079045161
y[1] (numeric) = 1.5705649125309499915860790451613
absolute error = 3e-31
relative error = 1.9101407245661240128121425423234e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.054
y[1] (analytic) = 1.5705726528752030184020261153201
y[1] (numeric) = 1.5705726528752030184020261153205
absolute error = 4e-31
relative error = 2.5468417476118108384697965360973e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.055
y[1] (analytic) = 1.5705802189289026412686535992194
y[1] (numeric) = 1.5705802189289026412686535992197
absolute error = 3e-31
relative error = 1.9101221089145811002972882172241e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.056
y[1] (analytic) = 1.5705876126617839888089625069855
y[1] (numeric) = 1.5705876126617839888089625069859
absolute error = 4e-31
relative error = 2.5468174890421566392268573543299e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.057
y[1] (analytic) = 1.570594836044271472689294093621
y[1] (numeric) = 1.5705948360442714726892940936214
absolute error = 4e-31
relative error = 2.5468057758769105985067232820571e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.058
y[1] (analytic) = 1.5706018910474709059243104258371
y[1] (numeric) = 1.5706018910474709059243104258374
absolute error = 3e-31
relative error = 1.9100957518898887052566334297080e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.059
y[1] (analytic) = 1.5706087796431616184563704641391
y[1] (numeric) = 1.5706087796431616184563704641395
absolute error = 4e-31
relative error = 2.5467831657663278712949876749396e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.06
y[1] (analytic) = 1.5706155038037885700408393321472
y[1] (numeric) = 1.5706155038037885700408393321476
absolute error = 4e-31
relative error = 2.5467722624108935495316288388068e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.061
y[1] (analytic) = 1.5706220655024544604688792213975
y[1] (numeric) = 1.5706220655024544604688792213979
absolute error = 4e-31
relative error = 2.5467616225806481732977519381501e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.062
y[1] (analytic) = 1.5706284667129118371592810299428
y[1] (numeric) = 1.5706284667129118371592810299432
absolute error = 4e-31
relative error = 2.5467512430685761507879729835250e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=854.5MB, alloc=4.5MB, time=38.10
x[1] = 3.063
y[1] (analytic) = 1.5706347094095552001509063569012
y[1] (numeric) = 1.5706347094095552001509063569015
absolute error = 3e-31
relative error = 1.9100558405001647636099371033568e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.064
y[1] (analytic) = 1.5706407955674131045273198726584
y[1] (numeric) = 1.5706407955674131045273198726587
absolute error = 3e-31
relative error = 1.9100484391252638292502599272772e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.065
y[1] (analytic) = 1.5706467271621402603052023556653
y[1] (numeric) = 1.5706467271621402603052023556656
absolute error = 3e-31
relative error = 1.9100412257697369641926023425709e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.066
y[1] (analytic) = 1.5706525061700096298181448316433
y[1] (numeric) = 1.5706525061700096298181448316435
absolute error = 2e-31
relative error = 1.2733561320173497341168509311812e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.067
y[1] (analytic) = 1.5706581345679045226274342694851
y[1] (numeric) = 1.5706581345679045226274342694853
absolute error = 2e-31
relative error = 1.2733515689906699232587166949244e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.068
y[1] (analytic) = 1.5706636143333106879914511801687
y[1] (numeric) = 1.5706636143333106879914511801689
absolute error = 2e-31
relative error = 1.2733471264939991111402595613713e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.069
y[1] (analytic) = 1.570668947444308404925309230549
y[1] (numeric) = 1.5706689474443084049253092305492
absolute error = 2e-31
relative error = 1.2733428029211830405602121936270e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.07
y[1] (analytic) = 1.5706741358795645698823766229236
y[1] (numeric) = 1.5706741358795645698823766229239
absolute error = 3e-31
relative error = 1.9100078949985540618606119879921e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.071
y[1] (analytic) = 1.5706791816183247820893285037372
y[1] (numeric) = 1.5706791816183247820893285037374
absolute error = 2e-31
relative error = 1.2733345061206778158576160293735e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.072
y[1] (analytic) = 1.5706840866404054265663890506607
y[1] (numeric) = 1.570684086640405426566389050661
absolute error = 3e-31
relative error = 1.9099957945183054006389770350564e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.073
y[1] (analytic) = 1.5706888529261857548644311465234
y[1] (numeric) = 1.5706888529261857548644311465237
absolute error = 3e-31
relative error = 1.9099899985990315485883655951253e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.074
y[1] (analytic) = 1.5706934824565999635506106811375
y[1] (numeric) = 1.5706934824565999635506106811378
absolute error = 3e-31
relative error = 1.9099843690112805897078352692709e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.075
y[1] (analytic) = 1.570697977213129270474221527918
y[1] (numeric) = 1.5706979772131292704742215279183
absolute error = 3e-31
relative error = 1.9099789033426173373809816100377e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=858.3MB, alloc=4.5MB, time=38.27
x[1] = 3.076
y[1] (analytic) = 1.5707023391777939888444661213123
y[1] (numeric) = 1.5707023391777939888444661213126
absolute error = 3e-31
relative error = 1.9099735991800914834024131467551e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.077
y[1] (analytic) = 1.5707065703331455991518453133887
y[1] (numeric) = 1.570706570333145599151845313389
absolute error = 3e-31
relative error = 1.9099684541102431468115137993871e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.078
y[1] (analytic) = 1.5707106726622588189648798134547
y[1] (numeric) = 1.570710672662258818964879813455
absolute error = 3e-31
relative error = 1.9099634657191084844980250459101e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.079
y[1] (analytic) = 1.5707146481487236706338840132449
y[1] (numeric) = 1.5707146481487236706338840132453
absolute error = 4e-31
relative error = 2.5466115087896338181563275758287e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.08
y[1] (analytic) = 1.5707184987766375469335213720077
y[1] (numeric) = 1.5707184987766375469335213720081
absolute error = 4e-31
relative error = 2.5466052657528521278022897768885e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.081
y[1] (analytic) = 1.5707222265305972746758787806885
y[1] (numeric) = 1.5707222265305972746758787806889
absolute error = 4e-31
relative error = 2.5465992219612109780737693236498e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.082
y[1] (analytic) = 1.570725833395691176325805442332
y[1] (numeric) = 1.5707258333956911763258054423324
absolute error = 4e-31
relative error = 2.5465933741934805704197516950360e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.083
y[1] (analytic) = 1.5707293213574911296502697967627
y[1] (numeric) = 1.5707293213574911296502697967631
absolute error = 4e-31
relative error = 2.5465877192277977979502876284605e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.084
y[1] (analytic) = 1.570732692402044625433495881528
y[1] (numeric) = 1.5707326924020446254334958815284
absolute error = 4e-31
relative error = 2.5465822538416742214331121588823e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.085
y[1] (analytic) = 1.5707359485158668232896482579703
y[1] (numeric) = 1.5707359485158668232896482579708
absolute error = 5e-31
relative error = 3.1832212185150051599738780726108e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.086
y[1] (analytic) = 1.5707390916859326056048422410954
y[1] (numeric) = 1.5707390916859326056048422410958
absolute error = 4e-31
relative error = 2.5465718789150726724580927779705e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.087
y[1] (analytic) = 1.5707421238996686296402636546003
y[1] (numeric) = 1.5707421238996686296402636546007
absolute error = 4e-31
relative error = 2.5465669629265641016852579668091e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.088
y[1] (analytic) = 1.5707450471449453778281896879873
y[1] (numeric) = 1.5707450471449453778281896879877
absolute error = 4e-31
relative error = 2.5465622236215700614169605901005e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=862.1MB, alloc=4.5MB, time=38.43
x[1] = 3.089
y[1] (analytic) = 1.5707478634100692062927096610775
y[1] (numeric) = 1.570747863410069206292709661078
absolute error = 5e-31
relative error = 3.1831970722182474827420383126688e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.09
y[1] (analytic) = 1.5707505746837743916269516024424
y[1] (numeric) = 1.5707505746837743916269516024429
absolute error = 5e-31
relative error = 3.1831915776994744650823890808894e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.091
y[1] (analytic) = 1.5707531829552151759586275222396
y[1] (numeric) = 1.5707531829552151759586275222401
absolute error = 5e-31
relative error = 3.1831862919373491652986980485176e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.092
y[1] (analytic) = 1.5707556902139578103357171066677
y[1] (numeric) = 1.5707556902139578103357171066682
absolute error = 5e-31
relative error = 3.1831812108978790445855353099844e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.093
y[1] (analytic) = 1.5707580984499725964641162806952
y[1] (numeric) = 1.5707580984499725964641162806958
absolute error = 6e-31
relative error = 3.8198115966556611429604805298349e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.094
y[1] (analytic) = 1.5707604096536259268290836778588
y[1] (numeric) = 1.5707604096536259268290836778593
absolute error = 5e-31
relative error = 3.1831716468475087992068409868491e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.095
y[1] (analytic) = 1.5707626258156723232323245207311
y[1] (numeric) = 1.5707626258156723232323245207316
absolute error = 5e-31
relative error = 3.1831671557652313320226492738879e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.096
y[1] (analytic) = 1.570764748927246473776557753109
y[1] (numeric) = 1.5707647489272464737765577531094
absolute error = 4e-31
relative error = 2.5465302826103013454465283234633e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.097
y[1] (analytic) = 1.570766780979855268329418475034
y[1] (numeric) = 1.5707667809798552683294184750344
absolute error = 4e-31
relative error = 2.5465269882425016109823367272134e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.098
y[1] (analytic) = 1.5707687239653698324985538144181
y[1] (numeric) = 1.5707687239653698324985538144185
absolute error = 4e-31
relative error = 2.5465238382784266253737858175817e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.099
y[1] (analytic) = 1.5707705798760175601497763242684
y[1] (numeric) = 1.5707705798760175601497763242688
absolute error = 4e-31
relative error = 2.5465208294872214028666370418232e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.1
y[1] (analytic) = 1.5707723507043741445001448222746
y[1] (numeric) = 1.570772350704374144500144822275
absolute error = 4e-31
relative error = 2.5465179586375445120551201491530e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.101
y[1] (analytic) = 1.5707740384433556078178482898105
y[1] (numeric) = 1.5707740384433556078178482898109
absolute error = 4e-31
relative error = 2.5465152224975774623238223959402e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=865.9MB, alloc=4.5MB, time=38.60
x[1] = 3.102
y[1] (analytic) = 1.5707756450862103297607740201868
y[1] (numeric) = 1.5707756450862103297607740201872
absolute error = 4e-31
relative error = 2.5465126178350341734999779643576e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.103
y[1] (analytic) = 1.5707771726265110743856466512536
y[1] (numeric) = 1.570777172626511074385646651254
absolute error = 4e-31
relative error = 2.5465101414171705287341567640128e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.104
y[1] (analytic) = 1.5707786230581470158596300351664
y[1] (numeric) = 1.5707786230581470158596300351668
absolute error = 4e-31
relative error = 2.5465077900107940106258824031779e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.105
y[1] (analytic) = 1.570779998375315762906289088275
y[1] (numeric) = 1.5707799983753157629062890882754
absolute error = 4e-31
relative error = 2.5465055603822734206092302413222e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.106
y[1] (analytic) = 1.5707813005725153820178138266542
y[1] (numeric) = 1.5707813005725153820178138266547
absolute error = 5e-31
relative error = 3.1831293116219358520149600980920e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.107
y[1] (analytic) = 1.5707825316445364194654127277449
y[1] (numeric) = 1.5707825316445364194654127277454
absolute error = 5e-31
relative error = 3.1831268169026759050003802633713e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.108
y[1] (analytic) = 1.5707836935864539221397873658933
y[1] (numeric) = 1.5707836935864539221397873658938
absolute error = 5e-31
relative error = 3.1831244622764518185247503705082e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.109
y[1] (analytic) = 1.5707847883936194572536049492528
y[1] (numeric) = 1.5707847883936194572536049492533
absolute error = 5e-31
relative error = 3.1831222436991547629268621843688e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.11
y[1] (analytic) = 1.5707858180616531309378899375168
y[1] (numeric) = 1.5707858180616531309378899375173
absolute error = 5e-31
relative error = 3.1831201571261898649008952438728e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.111
y[1] (analytic) = 1.570786784586435605764260344274
y[1] (numeric) = 1.5707867845864356057642603442745
absolute error = 5e-31
relative error = 3.1831181985124889814683387442078e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.112
y[1] (analytic) = 1.5707876899641001172249386243984
y[1] (numeric) = 1.570787689964100117224938624399
absolute error = 6e-31
relative error = 3.8197396365750282937245956244126e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.113
y[1] (analytic) = 1.5707885361910244892024712157856
y[1] (numeric) = 1.5707885361910244892024712157861
absolute error = 5e-31
relative error = 3.1831146489803177110185067872376e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.114
y[1] (analytic) = 1.5707893252638231484610948459098
y[1] (numeric) = 1.5707893252638231484610948459103
absolute error = 5e-31
relative error = 3.1831130499694611136025249241216e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=869.7MB, alloc=4.5MB, time=38.77
x[1] = 3.115
y[1] (analytic) = 1.5707900591793391381916916270919
y[1] (numeric) = 1.5707900591793391381916916270924
absolute error = 5e-31
relative error = 3.1831115627331223870264085191711e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.116
y[1] (analytic) = 1.5707907399346361306422787500064
y[1] (numeric) = 1.5707907399346361306422787500069
absolute error = 5e-31
relative error = 3.1831101832240622949989441363198e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.117
y[1] (analytic) = 1.5707913695269904388659822428208
y[1] (numeric) = 1.5707913695269904388659822428213
absolute error = 5e-31
relative error = 3.1831089073946471626773228482877e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.118
y[1] (analytic) = 1.5707919499538830276184477934204
y[1] (numeric) = 1.5707919499538830276184477934209
absolute error = 5e-31
relative error = 3.1831077311968623797232415199685e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.119
y[1] (analytic) = 1.5707924832129915234366450344237
y[1] (numeric) = 1.5707924832129915234366450344241
absolute error = 4e-31
relative error = 2.5464853204658608059973273166029e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.12
y[1] (analytic) = 1.5707929713021822239310249651169
y[1] (numeric) = 1.5707929713021822239310249651173
absolute error = 4e-31
relative error = 2.5464845292018419923015038123065e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.121
y[1] (analytic) = 1.5707934162195021063229933310255
y[1] (numeric) = 1.5707934162195021063229933310259
absolute error = 4e-31
relative error = 2.5464838079261731769588778360478e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.122
y[1] (analytic) = 1.570793819963170835259665800572
y[1] (numeric) = 1.5707938199631708352596658005724
absolute error = 4e-31
relative error = 2.5464831533993333686307918965792e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.123
y[1] (analytic) = 1.5707941845315727699378736691443
y[1] (numeric) = 1.5707941845315727699378736691447
absolute error = 4e-31
relative error = 2.5464825623815520892687136262003e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.124
y[1] (analytic) = 1.5707945119232489705693915838943
y[1] (numeric) = 1.5707945119232489705693915838947
absolute error = 4e-31
relative error = 2.5464820316328206762632018486188e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.125
y[1] (analytic) = 1.5707948041368892042193614176973
y[1] (numeric) = 1.5707948041368892042193614176978
absolute error = 5e-31
relative error = 3.1831019473911295847860015194085e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.126
y[1] (analytic) = 1.5707950631713239500498889279191
y[1] (numeric) = 1.5707950631713239500498889279196
absolute error = 5e-31
relative error = 3.1831014224766878395083633764854e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.127
y[1] (analytic) = 1.5707952910255164040007922149427
y[1] (numeric) = 1.5707952910255164040007922149432
absolute error = 5e-31
relative error = 3.1831009607468823955815339319786e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=873.6MB, alloc=4.5MB, time=38.93
x[1] = 3.128
y[1] (analytic) = 1.5707954896985544829394832468019
y[1] (numeric) = 1.5707954896985544829394832468024
absolute error = 5e-31
relative error = 3.1831005581506548593460397755830e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.129
y[1] (analytic) = 1.5707956611896428283119658397342
y[1] (numeric) = 1.5707956611896428283119658397347
absolute error = 5e-31
relative error = 3.1831002106367213050599571021423e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.13
y[1] (analytic) = 1.5707958074980948093269354799982
y[1] (numeric) = 1.5707958074980948093269354799987
absolute error = 5e-31
relative error = 3.1830999141535870264715344857479e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.131
y[1] (analytic) = 1.5707959306233245257049682398956
y[1] (numeric) = 1.5707959306233245257049682398961
absolute error = 5e-31
relative error = 3.1830996646495613922686116749141e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.132
y[1] (analytic) = 1.5707960325648388100247877805773
y[1] (numeric) = 1.5707960325648388100247877805779
absolute error = 6e-31
relative error = 3.8197193496873273664431778836776e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.133
y[1] (analytic) = 1.5707961153222292296986010459041
y[1] (numeric) = 1.5707961153222292296986010459046
absolute error = 5e-31
relative error = 3.1830992903711837660163361416191e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.134
y[1] (analytic) = 1.5707961808951640886084947353523
y[1] (numeric) = 1.5707961808951640886084947353529
absolute error = 6e-31
relative error = 3.8197189889911272463619033266889e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.135
y[1] (analytic) = 1.5707962312833804284358859997178
y[1] (numeric) = 1.5707962312833804284358859997184
absolute error = 6e-31
relative error = 3.8197188664616591068949784231749e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.136
y[1] (analytic) = 1.5707962684866760297160220311464
y[1] (numeric) = 1.570796268486676029716022031147
absolute error = 6e-31
relative error = 3.8197187759940835506667094358490e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.137
y[1] (analytic) = 1.5707962945049014126495243188311
y[1] (numeric) = 1.5707962945049014126495243188317
absolute error = 6e-31
relative error = 3.8197187127253424918133604997482e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.138
y[1] (analytic) = 1.5707963113379518377029743135303
y[1] (numeric) = 1.5707963113379518377029743135309
absolute error = 6e-31
relative error = 3.8197186717922710065235427076079e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.139
y[1] (analytic) = 1.5707963209857593060305380879008
y[1] (numeric) = 1.5707963209857593060305380879014
absolute error = 6e-31
relative error = 3.8197186483316161550395796046369e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.14
y[1] (analytic) = 1.5707963254482845597486282954793
y[1] (numeric) = 1.5707963254482845597486282954799
absolute error = 6e-31
relative error = 3.8197186374800559278324150677581e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=877.4MB, alloc=4.5MB, time=39.09
x[1] = 3.141
y[1] (analytic) = 1.5707963267255090820956023189992
y[1] (numeric) = 1.5707963267255090820956023189998
absolute error = 6e-31
relative error = 3.8197186343742183158834898279519e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.142
y[1] (analytic) = 1.5707963268174270975084959585829
y[1] (numeric) = 1.5707963268174270975084959585835
absolute error = 6e-31
relative error = 3.8197186341507005050042855379638e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.143
y[1] (analytic) = 1.5707963277240375716487923422094
y[1] (numeric) = 1.5707963277240375716487923422099
absolute error = 5e-31
relative error = 3.1830988599550734951012457088882e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.144
y[1] (analytic) = 1.5707963314453362114092259447132
y[1] (numeric) = 1.5707963314453362114092259447137
absolute error = 5e-31
relative error = 3.1830988524141458645441854185792e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.145
y[1] (analytic) = 1.570796339981307464933621677434
y[1] (numeric) = 1.5707963399813074649336216774345
absolute error = 5e-31
relative error = 3.1830988351166518420810466141510e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.146
y[1] (analytic) = 1.570796355331916521681768958492
y[1] (numeric) = 1.5707963553319165216817689584924
absolute error = 4e-31
relative error = 2.5464790432078520665035097417793e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.147
y[1] (analytic) = 1.5707963794971013125713304935271
y[1] (numeric) = 1.5707963794971013125713304935275
absolute error = 4e-31
relative error = 2.5464790040327320774018632285430e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.148
y[1] (analytic) = 1.570796414476764510228785188601
y[1] (numeric) = 1.5707964144767645102287851886014
absolute error = 4e-31
relative error = 2.5464789473258430878174146020602e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.149
y[1] (analytic) = 1.5707964622707655293814041808223
y[1] (numeric) = 1.5707964622707655293814041808227
absolute error = 4e-31
relative error = 2.5464788698451380270220021457502e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.15
y[1] (analytic) = 1.5707965248789125274222584081265
y[1] (numeric) = 1.5707965248789125274222584081269
absolute error = 4e-31
relative error = 2.5464787683486546279647638644981e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.151
y[1] (analytic) = 1.5707966043009544051802554475128
y[1] (numeric) = 1.5707966043009544051802554475133
absolute error = 5e-31
relative error = 3.1830982994931612066597981128741e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.152
y[1] (analytic) = 1.5707967025365728079272025309266
y[1] (numeric) = 1.5707967025365728079272025309271
absolute error = 5e-31
relative error = 3.1830981004262613446374147269437e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.153
y[1] (analytic) = 1.5707968215853741266538916998683
y[1] (numeric) = 1.5707968215853741266538916998688
absolute error = 5e-31
relative error = 3.1830978591830858248387229141926e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=881.2MB, alloc=4.5MB, time=39.25
x[1] = 3.154
y[1] (analytic) = 1.5707969634468814996472019837245
y[1] (numeric) = 1.5707969634468814996472019837249
absolute error = 4e-31
relative error = 2.5464780573694208669692083915536e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.155
y[1] (analytic) = 1.5707971301205268144002122827473
y[1] (numeric) = 1.5707971301205268144002122827478
absolute error = 5e-31
relative error = 3.1830972339606652009000002513404e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.156
y[1] (analytic) = 1.570797323605642709887317304567
y[1] (numeric) = 1.5707973236056427098873173045675
absolute error = 5e-31
relative error = 3.1830968418782953342549512707239e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.157
y[1] (analytic) = 1.5707975459014545792363374431094
y[1] (numeric) = 1.5707975459014545792363374431098
absolute error = 4e-31
relative error = 2.5464771131307482056497345203497e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.158
y[1] (analytic) = 1.5707977990070725728296119008162
y[1] (numeric) = 1.5707977990070725728296119008166
absolute error = 4e-31
relative error = 2.5464767028120783979150785627355e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.159
y[1] (analytic) = 1.5707980849214836018660626391337
y[1] (numeric) = 1.5707980849214836018660626391342
absolute error = 5e-31
relative error = 3.1830952991325585794847441566221e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.16
y[1] (analytic) = 1.5707984056435433424162148983511
y[1] (numeric) = 1.5707984056435433424162148983516
absolute error = 5e-31
relative error = 3.1830946492153718670326575070923e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.161
y[1] (analytic) = 1.5707987631719682400021580560453
y[1] (numeric) = 1.5707987631719682400021580560458
absolute error = 5e-31
relative error = 3.1830939247133905083203050846587e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.162
y[1] (analytic) = 1.5707991595053275147344284936291
y[1] (numeric) = 1.5707991595053275147344284936296
absolute error = 5e-31
relative error = 3.1830931215767829830531187651950e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.163
y[1] (analytic) = 1.5707995966420351670377939128103
y[1] (numeric) = 1.5707995966420351670377939128108
absolute error = 5e-31
relative error = 3.1830922357560517508050456822793e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.164
y[1] (analytic) = 1.5708000765803419839979161881663
y[1] (numeric) = 1.5708000765803419839979161881668
absolute error = 5e-31
relative error = 3.1830912632020515009619137568106e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.165
y[1] (analytic) = 1.5708006013183275463608673585242
y[1] (numeric) = 1.5708006013183275463608673585247
absolute error = 5e-31
relative error = 3.1830901998660075040494149582060e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.166
y[1] (analytic) = 1.5708011728538922362174707484249
y[1] (numeric) = 1.5708011728538922362174707484254
absolute error = 5e-31
relative error = 3.1830890416995340643302364823098e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=885.0MB, alloc=4.5MB, time=39.42
x[1] = 3.167
y[1] (analytic) = 1.5708017931847492454044364716508
y[1] (numeric) = 1.5708017931847492454044364716513
absolute error = 5e-31
relative error = 3.1830877846546530735523380360337e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.168
y[1] (analytic) = 1.5708024643084165846542577016195
y[1] (numeric) = 1.57080246430841658465425770162
absolute error = 5e-31
relative error = 3.1830864246838126657278317137084e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.169
y[1] (analytic) = 1.5708031882222090935258310984034
y[1] (numeric) = 1.5708031882222090935258310984039
absolute error = 5e-31
relative error = 3.1830849577399059728193695926181e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.17
y[1] (analytic) = 1.5708039669232304511477616592408
y[1] (numeric) = 1.5708039669232304511477616592413
absolute error = 5e-31
relative error = 3.1830833797762899812083832234510e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.171
y[1] (analytic) = 1.5708048024083651878063090086665
y[1] (numeric) = 1.570804802408365187806309008667
absolute error = 5e-31
relative error = 3.1830816867468044888169487044429e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.172
y[1] (analytic) = 1.5708056966742706974099287658252
y[1] (numeric) = 1.5708056966742706974099287658257
absolute error = 5e-31
relative error = 3.1830798746057911627524710656093e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.173
y[1] (analytic) = 1.5708066517173692508623591201525
y[1] (numeric) = 1.570806651717369250862359120153
absolute error = 5e-31
relative error = 3.1830779393081126973417923122060e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.174
y[1] (analytic) = 1.5708076695338400103761991124288
y[1] (numeric) = 1.5708076695338400103761991124293
absolute error = 5e-31
relative error = 3.1830758768091720724187287457909e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.175
y[1] (analytic) = 1.5708087521196110447589213562442
y[1] (numeric) = 1.5708087521196110447589213562447
absolute error = 5e-31
relative error = 3.1830736830649319117264351590986e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.176
y[1] (analytic) = 1.5708099014703513457032580451784
y[1] (numeric) = 1.5708099014703513457032580451789
absolute error = 5e-31
relative error = 3.1830713540319339412933762502823e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.177
y[1] (analytic) = 1.5708111195814628451138950735061
y[1] (numeric) = 1.5708111195814628451138950735066
absolute error = 5e-31
relative error = 3.1830688856673185476390591866319e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.178
y[1] (analytic) = 1.5708124084480724335024049530079
y[1] (numeric) = 1.5708124084480724335024049530084
absolute error = 5e-31
relative error = 3.1830662739288444356630457321035e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.179
y[1] (analytic) = 1.5708137700650239794823449355129
y[1] (numeric) = 1.5708137700650239794823449355133
absolute error = 4e-31
relative error = 2.5464508118199267088544942417253e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=888.8MB, alloc=4.5MB, time=39.58
x[1] = 3.18
y[1] (analytic) = 1.5708152064268703503964423501396
y[1] (numeric) = 1.5708152064268703503964423501401
absolute error = 5e-31
relative error = 3.1830606041645651121658167895404e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.181
y[1] (analytic) = 1.5708167195278654341077846358558
y[1] (numeric) = 1.5708167195278654341077846358563
absolute error = 5e-31
relative error = 3.1830575380575472159099145826259e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.182
y[1] (analytic) = 1.5708183113619561619869268939574
y[1] (numeric) = 1.5708183113619561619869268939578
absolute error = 4e-31
relative error = 2.5464434499314281944005623530248e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.183
y[1] (analytic) = 1.5708199839227745331268250014022
y[1] (numeric) = 1.5708199839227745331268250014027
absolute error = 5e-31
relative error = 3.1830509231959278369003078725190e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.184
y[1] (analytic) = 1.5708217392036296398174974146313
y[1] (numeric) = 1.5708217392036296398174974146318
absolute error = 5e-31
relative error = 3.1830473663643619915965469284443e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.185
y[1] (analytic) = 1.5708235791974996943123137545964
y[1] (numeric) = 1.5708235791974996943123137545969
absolute error = 5e-31
relative error = 3.1830436378822334029501500023572e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.186
y[1] (analytic) = 1.5708255058970240569178030972108
y[1] (numeric) = 1.5708255058970240569178030972113
absolute error = 5e-31
relative error = 3.1830397337129669184574582960217e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.187
y[1] (analytic) = 1.5708275212944952654388695993588
y[1] (numeric) = 1.5708275212944952654388695993593
absolute error = 5e-31
relative error = 3.1830356498207870852580017436789e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.188
y[1] (analytic) = 1.5708296273818510660112976689753
y[1] (numeric) = 1.5708296273818510660112976689758
absolute error = 5e-31
relative error = 3.1830313821707387962136323787102e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.189
y[1] (analytic) = 1.5708318261506664453534233385493
y[1] (numeric) = 1.5708318261506664453534233385498
absolute error = 5e-31
relative error = 3.1830269267287080338831599901358e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.19
y[1] (analytic) = 1.5708341195921456644688428247409
y[1] (numeric) = 1.5708341195921456644688428247414
absolute error = 5e-31
relative error = 3.1830222794614427122136970123084e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.191
y[1] (analytic) = 1.5708365096971142938320234526572
y[1] (numeric) = 1.5708365096971142938320234526577
absolute error = 5e-31
relative error = 3.1830174363365736157671719969893e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.192
y[1] (analytic) = 1.5708389984560112500886761917232
y[1] (numeric) = 1.5708389984560112500886761917237
absolute error = 5e-31
relative error = 3.1830123933226354362977153080280e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=892.6MB, alloc=4.5MB, time=39.74
x[1] = 3.193
y[1] (analytic) = 1.5708415878588808343027429910396
y[1] (numeric) = 1.5708415878588808343027429910401
absolute error = 5e-31
relative error = 3.1830071463890879064928569314570e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.194
y[1] (analytic) = 1.5708442798953647717818459156624
y[1] (numeric) = 1.5708442798953647717818459156628
absolute error = 4e-31
relative error = 2.5464013532050696245509636680762e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.195
y[1] (analytic) = 1.5708470765546942535130387713947
y[1] (numeric) = 1.5708470765546942535130387713952
absolute error = 5e-31
relative error = 3.1829960246457564123664907196758e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.196
y[1] (analytic) = 1.570849979825681979240695464473
y[1] (numeric) = 1.5708499798256819792406954644734
absolute error = 4e-31
relative error = 2.5463921134237669425880716854491e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.197
y[1] (analytic) = 1.5708529916967142022183627739834
y[1] (numeric) = 1.5708529916967142022183627739839
absolute error = 5e-31
relative error = 3.1829840388815669987013105873223e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.198
y[1] (analytic) = 1.5708561141557427756663985189931
y[1] (numeric) = 1.5708561141557427756663985189935
absolute error = 4e-31
relative error = 2.5463821695405893636215766295205e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.199
y[1] (analytic) = 1.5708593491902772009672092792356
y[1] (numeric) = 1.570859349190277200967209279236
absolute error = 4e-31
relative error = 2.5463769255101415995751522207381e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.2
y[1] (analytic) = 1.5708626987873766776298948778003
y[1] (numeric) = 1.5708626987873766776298948778007
absolute error = 4e-31
relative error = 2.5463714957951382149564278706769e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.201
y[1] (analytic) = 1.5708661649336421550560997566456
y[1] (numeric) = 1.5708661649336421550560997566461
absolute error = 5e-31
relative error = 3.1829573464721064827698063038087e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.202
y[1] (analytic) = 1.5708697496152083861388641709342
y[1] (numeric) = 1.5708697496152083861388641709347
absolute error = 5e-31
relative error = 3.1829500830509801969874478707563e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.203
y[1] (analytic) = 1.570873454817735982726260796189
y[1] (numeric) = 1.5708734548177359827262607961895
absolute error = 5e-31
relative error = 3.1829425754604376458541920910453e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.204
y[1] (analytic) = 1.5708772825264034729815948831322
y[1] (numeric) = 1.5708772825264034729815948831327
absolute error = 5e-31
relative error = 3.1829348196815364324847322830548e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.205
y[1] (analytic) = 1.5708812347258993606719385088155
y[1] (numeric) = 1.570881234725899360671938508816
absolute error = 5e-31
relative error = 3.1829268116965203127023441768750e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=896.4MB, alloc=4.5MB, time=39.91
x[1] = 3.206
y[1] (analytic) = 1.5708853134004141864167617593173
y[1] (numeric) = 1.5708853134004141864167617593178
absolute error = 5e-31
relative error = 3.1829185474888415736155236582842e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.207
y[1] (analytic) = 1.5708895205336325909284158388971
y[1] (numeric) = 1.5708895205336325909284158388977
absolute error = 6e-31
relative error = 3.8194920276518202077341063866282e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.208
y[1] (analytic) = 1.5708938581087253802762151330926
y[1] (numeric) = 1.5708938581087253802762151330932
absolute error = 6e-31
relative error = 3.8194814812145795680467823111480e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.209
y[1] (analytic) = 1.5708983281083415932058571588504
y[1] (numeric) = 1.570898328108341593205857158851
absolute error = 6e-31
relative error = 3.8194706128595436818109882052046e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.21
y[1] (analytic) = 1.5709029325146005705459111134357
y[1] (numeric) = 1.5709029325146005705459111134363
absolute error = 6e-31
relative error = 3.8194594177729270445063363525823e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.211
y[1] (analytic) = 1.5709076733090840267330973855905
y[1] (numeric) = 1.5709076733090840267330973855911
absolute error = 6e-31
relative error = 3.8194478911425303515647349669005e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.212
y[1] (analytic) = 1.5709125524728281234880719172528
y[1] (numeric) = 1.5709125524728281234880719172534
absolute error = 6e-31
relative error = 3.8194360281577680270667465713936e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.213
y[1] (analytic) = 1.5709175719863155456734207021291
y[1] (numeric) = 1.5709175719863155456734207021297
absolute error = 6e-31
relative error = 3.8194238240096958638346108775458e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.214
y[1] (analytic) = 1.5709227338294675793655609785786
y[1] (numeric) = 1.5709227338294675793655609785792
absolute error = 6e-31
relative error = 3.8194112738910387746257577615298e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.215
y[1] (analytic) = 1.5709280399816361921722368186399
y[1] (numeric) = 1.5709280399816361921722368186405
absolute error = 6e-31
relative error = 3.8193983729962186541271323409614e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.216
y[1] (analytic) = 1.5709334924215961158272878326602
y[1] (numeric) = 1.5709334924215961158272878326608
absolute error = 6e-31
relative error = 3.8193851165213823514471432830453e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.217
y[1] (analytic) = 1.5709390931275369310943605998934
y[1] (numeric) = 1.5709390931275369310943605998941
absolute error = 7e-31
relative error = 4.4559334162751680449316153505357e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.218
y[1] (analytic) = 1.5709448440770551550112231996706
y[1] (numeric) = 1.5709448440770551550112231996712
absolute error = 6e-31
relative error = 3.8193575176250419740618988573309e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=900.3MB, alloc=4.5MB, time=40.08
x[1] = 3.219
y[1] (analytic) = 1.5709507472471463305063338553313
y[1] (numeric) = 1.570950747247146330506333855332
absolute error = 7e-31
relative error = 4.4559003598721612734022544526816e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.22
y[1] (analytic) = 1.5709568046141971184193052140972
y[1] (numeric) = 1.5709568046141971184193052140979
absolute error = 7e-31
relative error = 4.4558831786078883119220257672682e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.221
y[1] (analytic) = 1.5709630181539773919568961704841
y[1] (numeric) = 1.5709630181539773919568961704847
absolute error = 6e-31
relative error = 3.8193133324363922703145659556686e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.222
y[1] (analytic) = 1.5709693898416323336161533987461
y[1] (numeric) = 1.5709693898416323336161533987467
absolute error = 6e-31
relative error = 3.8192978417006923899484767300866e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.223
y[1] (analytic) = 1.570975921651674534606314891248
y[1] (numeric) = 1.5709759216516745346063148912486
absolute error = 6e-31
relative error = 3.8192819618086757454559597346645e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.224
y[1] (analytic) = 1.5709826155579760968010778046172
y[1] (numeric) = 1.5709826155579760968010778046178
absolute error = 6e-31
relative error = 3.8192656879713089878970340345578e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.225
y[1] (analytic) = 1.5709894735337607372528227940731
y[1] (numeric) = 1.5709894735337607372528227940737
absolute error = 6e-31
relative error = 3.8192490154015403958007019949442e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.226
y[1] (analytic) = 1.5709964975515958953003767685099
y[1] (numeric) = 1.5709964975515958953003767685105
absolute error = 6e-31
relative error = 3.8192319393143289351803809251611e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.227
y[1] (analytic) = 1.5710036895833848423018856247575
y[1] (numeric) = 1.5710036895833848423018856247581
absolute error = 6e-31
relative error = 3.8192144549266734264781987788827e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.228
y[1] (analytic) = 1.571011051600358794024358019009
y[1] (numeric) = 1.5710110516003587940243580190096
absolute error = 6e-31
relative error = 3.8191965574576418180923097718302e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.229
y[1] (analytic) = 1.5710185855730690257214306067233
y[1] (numeric) = 1.571018585573069025721430606724
absolute error = 7e-31
relative error = 4.4557079491498006604940896147383e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.23
y[1] (analytic) = 1.5710262934713789899308944294289
y[1] (numeric) = 1.5710262934713789899308944294295
absolute error = 6e-31
relative error = 3.8191595041622441200880816621550e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.231
y[1] (analytic) = 1.5710341772644564370235112478122
y[1] (numeric) = 1.5710341772644564370235112478128
absolute error = 6e-31
relative error = 3.8191403387846245139403180123979e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=904.1MB, alloc=4.5MB, time=40.24
x[1] = 3.232
y[1] (analytic) = 1.5710422389207655385346376153215
y[1] (numeric) = 1.5710422389207655385346376153222
absolute error = 7e-31
relative error = 4.4556408647603779063016968926053e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.233
y[1] (analytic) = 1.5710504804080590133101633552861
y[1] (numeric) = 1.5710504804080590133101633552868
absolute error = 7e-31
relative error = 4.4556174911590651898531779587990e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.234
y[1] (analytic) = 1.5710589036933702564982598472987
y[1] (numeric) = 1.5710589036933702564982598472994
absolute error = 7e-31
relative error = 4.4555936022155777320207702695510e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.235
y[1] (analytic) = 1.5710675107430054714184221453739
y[1] (numeric) = 1.5710675107430054714184221453746
absolute error = 7e-31
relative error = 4.4555691923700259779324889874724e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.236
y[1] (analytic) = 1.5710763035225358043392774412229
y[1] (numeric) = 1.5710763035225358043392774412236
absolute error = 7e-31
relative error = 4.4555442560652120016017560134120e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.237
y[1] (analytic) = 1.5710852839967894821966207509236
y[1] (numeric) = 1.5710852839967894821966207509243
absolute error = 7e-31
relative error = 4.4555187877466647586467695517200e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.238
y[1] (analytic) = 1.5710944541298439532831269423605
y[1] (numeric) = 1.5710944541298439532831269423612
absolute error = 7e-31
relative error = 4.4554927818626754590901976840646e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.239
y[1] (analytic) = 1.5711038158850180309411763341071
y[1] (numeric) = 1.5711038158850180309411763341078
absolute error = 7e-31
relative error = 4.4554662328643330597892458954892e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.24
y[1] (analytic) = 1.5711133712248640402902190839732
y[1] (numeric) = 1.5711133712248640402902190839739
absolute error = 7e-31
relative error = 4.4554391352055598760418913851212e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.241
y[1] (analytic) = 1.5711231221111599680200914472893
y[1] (numeric) = 1.57112312211115996802009144729
absolute error = 7e-31
relative error = 4.4554114833431473119108150626651e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.242
y[1] (analytic) = 1.5711330705049016152816847211947
y[1] (numeric) = 1.5711330705049016152816847211953
absolute error = 6e-31
relative error = 3.8188999472029643218305390352595e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.243
y[1] (analytic) = 1.5711432183662947537063553017918
y[1] (numeric) = 1.5711432183662947537063553017925
absolute error = 7e-31
relative error = 4.4553544948491303118330583478124e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.244
y[1] (analytic) = 1.5711535676547472845854517660682
y[1] (numeric) = 1.5711535676547472845854517660688
absolute error = 6e-31
relative error = 3.8188501261249520172975412729687e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=907.9MB, alloc=4.5MB, time=40.40
x[1] = 3.245
y[1] (analytic) = 1.5711641203288614012413222500215
y[1] (numeric) = 1.5711641203288614012413222500221
absolute error = 6e-31
relative error = 3.8188244769388802179489818956291e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.246
y[1] (analytic) = 1.5711748783464257546211526285105
y[1] (numeric) = 1.5711748783464257546211526285111
absolute error = 6e-31
relative error = 3.8187983290024765194401996949917e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.247
y[1] (analytic) = 1.5711858436644076221449731110309
y[1] (numeric) = 1.5711858436644076221449731110316
absolute error = 7e-31
relative error = 4.4552336238431272715343936749425e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.248
y[1] (analytic) = 1.5711970182389450798391578509505
y[1] (numeric) = 1.5711970182389450798391578509512
absolute error = 7e-31
relative error = 4.4552019375939595993569029101270e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.249
y[1] (analytic) = 1.5712084040253391777867290237655
y[1] (numeric) = 1.5712084040253391777867290237662
absolute error = 7e-31
relative error = 4.4551696529030974201020430507357e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.25
y[1] (analytic) = 1.5712200029780461189257635627313
y[1] (numeric) = 1.571220002978046118925763562732
absolute error = 7e-31
relative error = 4.4551367642547811572711425060255e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.251
y[1] (analytic) = 1.5712318170506694412271873478113
y[1] (numeric) = 1.571231817050669441227187347812
absolute error = 7e-31
relative error = 4.4551032661364840519236042354943e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.252
y[1] (analytic) = 1.5712438481959522032832281263432
y[1] (numeric) = 1.5712438481959522032832281263439
absolute error = 7e-31
relative error = 4.4550691530389491674133020229307e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.253
y[1] (analytic) = 1.5712560983657691733377848011924
y[1] (numeric) = 1.5712560983657691733377848011931
absolute error = 7e-31
relative error = 4.4550344194562265070070824349794e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.254
y[1] (analytic) = 1.5712685695111190217899569545003
y[1] (numeric) = 1.571268569511119021789956954501
absolute error = 7e-31
relative error = 4.4549990598857102438711341133012e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.255
y[1] (analytic) = 1.5712812635821165172019645824997
y[1] (numeric) = 1.5712812635821165172019645825004
absolute error = 7e-31
relative error = 4.4549630688281760629066739673523e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.256
y[1] (analytic) = 1.5712941825279847258426739993131
y[1] (numeric) = 1.5712941825279847258426739993137
absolute error = 6e-31
relative error = 3.8185083778181302404960732418794e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.257
y[1] (analytic) = 1.5713073282970472147979317252287
y[1] (numeric) = 1.5713073282970472147979317252293
absolute error = 6e-31
relative error = 3.8184764316619620647522807785381e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=911.7MB, alloc=4.5MB, time=40.57
x[1] = 3.258
y[1] (analytic) = 1.5713207028367202586788939077248
y[1] (numeric) = 1.5713207028367202586788939077254
absolute error = 6e-31
relative error = 3.8184439301080567110412413440728e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.259
y[1] (analytic) = 1.5713343080935050499595244315311
y[1] (numeric) = 1.5713343080935050499595244315318
absolute error = 7e-31
relative error = 4.4548126798638272447170484079645e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.26
y[1] (analytic) = 1.5713481460129799129744203573512
y[1] (numeric) = 1.5713481460129799129744203573518
absolute error = 6e-31
relative error = 3.8183772420032739171827617914716e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.261
y[1] (analytic) = 1.57136221853979252160810868756
y[1] (numeric) = 1.5713622185397925216081086875606
absolute error = 6e-31
relative error = 3.8183430460581985170292915438940e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.262
y[1] (analytic) = 1.5713765276176521207069436913159
y[1] (numeric) = 1.5713765276176521207069436913165
absolute error = 6e-31
relative error = 3.8183082759270552574957614901961e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.263
y[1] (analytic) = 1.5713910751893217512447191311245
y[1] (numeric) = 1.571391075189321751244719131125
absolute error = 5e-31
relative error = 3.1818941057671453528020798276727e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.264
y[1] (analytic) = 1.571405863196610479273094718039
y[1] (numeric) = 1.5714058631966104792730947180395
absolute error = 5e-31
relative error = 3.1818641619605642022063968822960e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.265
y[1] (analytic) = 1.5714208935803656286879209834314
y[1] (numeric) = 1.571420893580365628687920983432
absolute error = 6e-31
relative error = 3.8182004735405078273432028033045e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.266
y[1] (analytic) = 1.5714361682804650178425314916772
y[1] (numeric) = 1.5714361682804650178425314916778
absolute error = 6e-31
relative error = 3.8181633598044682048878105224042e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.267
y[1] (analytic) = 1.5714516892358092000390559302337
y[1] (numeric) = 1.5714516892358092000390559302342
absolute error = 5e-31
relative error = 3.1817713737235411999070902953423e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.268
y[1] (analytic) = 1.5714674583843137079287921015144
y[1] (numeric) = 1.5714674583843137079287921015149
absolute error = 5e-31
relative error = 3.1817394457157215379980788130928e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.269
y[1] (analytic) = 1.5714834776629013018526592047304
y[1] (numeric) = 1.5714834776629013018526592047309
absolute error = 5e-31
relative error = 3.1817070119222400705413288770666e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.27
y[1] (analytic) = 1.5714997490074942221527390355496
y[1] (numeric) = 1.5714997490074942221527390355501
absolute error = 5e-31
relative error = 3.1816740684545637987966312257615e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=915.5MB, alloc=4.5MB, time=40.73
x[1] = 3.271
y[1] (analytic) = 1.5715162743530064454858958470789
y[1] (numeric) = 1.5715162743530064454858958470794
absolute error = 5e-31
relative error = 3.1816406114270124045476973623181e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.272
y[1] (analytic) = 1.5715330556333359451704496073659
y[1] (numeric) = 1.5715330556333359451704496073663
absolute error = 4e-31
relative error = 2.5452853095654289770811843457027e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.273
y[1] (analytic) = 1.5715500947813569555968612564056
y[1] (numeric) = 1.571550094781356955596861256406
absolute error = 4e-31
relative error = 2.5452577129311954227878728398488e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.274
y[1] (analytic) = 1.5715673937289122407333723095996
y[1] (numeric) = 1.5715673937289122407333723096
absolute error = 4e-31
relative error = 2.5452296961373459337275820198148e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.275
y[1] (analytic) = 1.5715849544068053667575247747982
y[1] (numeric) = 1.5715849544068053667575247747986
absolute error = 4e-31
relative error = 2.5452012560846891828583612678436e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.276
y[1] (analytic) = 1.5716027787447929788444708465441
y[1] (numeric) = 1.5716027787447929788444708465445
absolute error = 4e-31
relative error = 2.5451723896764284506884426716743e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.277
y[1] (analytic) = 1.5716208686715770821429652139806
y[1] (numeric) = 1.571620868671577082142965213981
absolute error = 4e-31
relative error = 2.5451430938181842896077303990265e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.278
y[1] (analytic) = 1.5716392261147973269699160681638
y[1] (numeric) = 1.5716392261147973269699160681642
absolute error = 4e-31
relative error = 2.5451133654180172446361455219090e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.279
y[1] (analytic) = 1.5716578530010232982543540202873
y[1] (numeric) = 1.5716578530010232982543540202877
absolute error = 4e-31
relative error = 2.5450832013864506302332174989009e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.28
y[1] (analytic) = 1.5716767512557468092616611446641
y[1] (numeric) = 1.5716767512557468092616611446645
absolute error = 4e-31
relative error = 2.5450525986364933628108479256380e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.281
y[1] (analytic) = 1.5716959228033741996288852392734
y[1] (numeric) = 1.5716959228033741996288852392738
absolute error = 4e-31
relative error = 2.5450215540836628485887079186766e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.282
y[1] (analytic) = 1.571715369567218637741947152347
y[1] (numeric) = 1.5717153695672186377419471523473
absolute error = 3e-31
relative error = 1.9087425484845059448219507892005e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.283
y[1] (analytic) = 1.5717350934694924274855316559015
y[1] (numeric) = 1.5717350934694924274855316559019
absolute error = 4e-31
relative error = 2.5449581272441318652869959017563e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=919.3MB, alloc=4.5MB, time=40.90
x[1] = 3.284
y[1] (analytic) = 1.5717550964312993193964348563968
y[1] (numeric) = 1.5717550964312993193964348563972
absolute error = 4e-31
relative error = 2.5449257388012154159038060754894e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.285
y[1] (analytic) = 1.5717753803726268262511235188765
y[1] (numeric) = 1.5717753803726268262511235188769
absolute error = 4e-31
relative error = 2.5448928962430399163803712538744e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.286
y[1] (analytic) = 1.5717959472123385431182439441105
y[1] (numeric) = 1.5717959472123385431182439441109
absolute error = 4e-31
relative error = 2.5448595964980104512504703146975e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.287
y[1] (analytic) = 1.5718167988681664719068001784621
y[1] (numeric) = 1.5718167988681664719068001784625
absolute error = 4e-31
relative error = 2.5448258364971790636830772234415e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.288
y[1] (analytic) = 1.5718379372567033504407033535332
y[1] (numeric) = 1.5718379372567033504407033535336
absolute error = 4e-31
relative error = 2.5447916131742680204344521221386e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.289
y[1] (analytic) = 1.5718593642933949860903758471628
y[1] (numeric) = 1.5718593642933949860903758471632
absolute error = 4e-31
relative error = 2.5447569234656931291700440766056e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.29
y[1] (analytic) = 1.5718810818925325939920757291403
y[1] (numeric) = 1.5718810818925325939920757291407
absolute error = 4e-31
relative error = 2.5447217643105871077735683565740e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.291
y[1] (analytic) = 1.5719030919672451398855886041197
y[1] (numeric) = 1.5719030919672451398855886041201
absolute error = 4e-31
relative error = 2.5446861326508230052581767101301e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.292
y[1] (analytic) = 1.5719253964294916876009154907581
y[1] (numeric) = 1.5719253964294916876009154907584
absolute error = 3e-31
relative error = 1.9084875190732782554191479780189e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.293
y[1] (analytic) = 1.5719479971900537512245667801232
y[1] (numeric) = 1.5719479971900537512245667801235
absolute error = 3e-31
relative error = 1.9084600796989914691121114646432e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.294
y[1] (analytic) = 1.5719708961585276519760535979978
y[1] (numeric) = 1.5719708961585276519760535979982
absolute error = 4e-31
relative error = 2.5445763721039109380919620713505e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.295
y[1] (analytic) = 1.5719940952433168798251490549242
y[1] (numeric) = 1.5719940952433168798251490549246
absolute error = 4e-31
relative error = 2.5445388198998742127895815738374e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.296
y[1] (analytic) = 1.5720175963516244598804729047588
y[1] (numeric) = 1.5720175963516244598804729047592
absolute error = 4e-31
relative error = 2.5445007799424729133803448328790e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=923.1MB, alloc=4.5MB, time=41.07
x[1] = 3.297
y[1] (analytic) = 1.5720414013894453235799340472209
y[1] (numeric) = 1.5720414013894453235799340472213
absolute error = 4e-31
relative error = 2.5444622491905167553707909143634e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.298
y[1] (analytic) = 1.5720655122615586847135461024937
y[1] (numeric) = 1.5720655122615586847135461024941
absolute error = 4e-31
relative error = 2.5444232246057211437747817495226e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.299
y[1] (analytic) = 1.5720899308715204203091119564493
y[1] (numeric) = 1.5720899308715204203091119564497
absolute error = 4e-31
relative error = 2.5443837031527309926860718054901e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.3
y[1] (analytic) = 1.5721146591216554564112537236019
y[1] (numeric) = 1.5721146591216554564112537236022
absolute error = 3e-31
relative error = 1.9082577613493584446582827220877e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.301
y[1] (analytic) = 1.5721396989130501587842450015152
y[1] (numeric) = 1.5721396989130501587842450015155
absolute error = 3e-31
relative error = 1.9082273681366531452641856162261e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.302
y[1] (analytic) = 1.5721650521455447285690825951917
y[1] (numeric) = 1.572165052145544728569082595192
absolute error = 3e-31
relative error = 1.9081965954566149740732307456987e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.303
y[1] (analytic) = 1.5721907207177256029252150730157
y[1] (numeric) = 1.572190720717725602925215073016
absolute error = 3e-31
relative error = 1.9081654410416955064760146642097e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.304
y[1] (analytic) = 1.5722167065269178606873255772041
y[1] (numeric) = 1.5722167065269178606873255772044
absolute error = 3e-31
relative error = 1.9081339026266333072045456071865e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.305
y[1] (analytic) = 1.5722430114691776330675462515088
y[1] (numeric) = 1.5722430114691776330675462515091
absolute error = 3e-31
relative error = 1.9081019779484720064910071156429e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.306
y[1] (analytic) = 1.5722696374392845194334614671922
y[1] (numeric) = 1.5722696374392845194334614671925
absolute error = 3e-31
relative error = 1.9080696647465784103774773650453e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.307
y[1] (analytic) = 1.5722965863307340081922367251524
y[1] (numeric) = 1.5722965863307340081922367251527
absolute error = 3e-31
relative error = 1.9080369607626606448587885767852e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.308
y[1] (analytic) = 1.5723238600357299028111896875756
y[1] (numeric) = 1.5723238600357299028111896875759
absolute error = 3e-31
relative error = 1.9080038637407863335389232678685e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.309
y[1] (analytic) = 1.5723514604451767530050992467337
y[1] (numeric) = 1.5723514604451767530050992467339
absolute error = 2e-31
relative error = 1.2719802476182672056530399894041e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=927.0MB, alloc=4.5MB, time=41.23
x[1] = 3.31
y[1] (analytic) = 1.5723793894486722911205278715986
y[1] (numeric) = 1.5723793894486722911205278715989
absolute error = 3e-31
relative error = 1.9079364815713453539176006566418e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.311
y[1] (analytic) = 1.5724076489344998737474116849003
y[1] (numeric) = 1.5724076489344998737474116849005
absolute error = 2e-31
relative error = 1.2719347946159169883511566096632e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.312
y[1] (analytic) = 1.5724362407896209285881518141877
y[1] (numeric) = 1.572436240789620928588151814188
absolute error = 3e-31
relative error = 1.9078675002386792438963236706152e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.313
y[1] (analytic) = 1.5724651668996674066144195304601
y[1] (numeric) = 1.5724651668996674066144195304604
absolute error = 3e-31
relative error = 1.9078324042718955648991151695853e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.314
y[1] (analytic) = 1.5724944291489342395418665370806
y[1] (numeric) = 1.5724944291489342395418665370809
absolute error = 3e-31
relative error = 1.9077969017821326216175415357103e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.315
y[1] (analytic) = 1.572524029420371802652910500077
y[1] (numeric) = 1.5725240294203718026529105000773
absolute error = 3e-31
relative error = 1.9077609905304862424965827850958e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.316
y[1] (analytic) = 1.5725539695955783829977445186367
y[1] (numeric) = 1.572553969595578382997744518637
absolute error = 3e-31
relative error = 1.9077246682805583423894283589692e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.317
y[1] (analytic) = 1.5725842515547926530036977217159
y[1] (numeric) = 1.5725842515547926530036977217161
absolute error = 2e-31
relative error = 1.2717919551989835914402757284580e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.318
y[1] (analytic) = 1.5726148771768861495230525432852
y[1] (numeric) = 1.5726148771768861495230525432854
absolute error = 2e-31
relative error = 1.2717671879019379256719735003448e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.319
y[1] (analytic) = 1.5726458483393557583494024749153
y[1] (numeric) = 1.5726458483393557583494024749155
absolute error = 2e-31
relative error = 1.2717421421433892857790042836882e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.32
y[1] (analytic) = 1.57267716691831620423261222025
y[1] (numeric) = 1.5726771669183162042326122202503
absolute error = 3e-31
relative error = 1.9075752246588177146606718221043e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.321
y[1] (analytic) = 1.5727088347884925464224201815139
y[1] (numeric) = 1.5727088347884925464224201815141
absolute error = 2e-31
relative error = 1.2716912093070121078181132007227e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.322
y[1] (analytic) = 1.5727408538232126797707010936373
y[1] (numeric) = 1.5727408538232126797707010936375
absolute error = 2e-31
relative error = 1.2716653192661416704201651136234e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=930.8MB, alloc=4.5MB, time=41.40
x[1] = 3.323
y[1] (analytic) = 1.5727732258943998414223843869511
y[1] (numeric) = 1.5727732258943998414223843869513
absolute error = 2e-31
relative error = 1.2716391448377092956364744285135e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.324
y[1] (analytic) = 1.5728059528725651231250015047858
y[1] (numeric) = 1.572805952872565123125001504786
absolute error = 2e-31
relative error = 1.2716126845445935350472485012784e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.325
y[1] (analytic) = 1.572839036626799989186812927802
y[1] (numeric) = 1.5728390366267999891868129278022
absolute error = 2e-31
relative error = 1.2715859369114551582720232796885e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.326
y[1] (analytic) = 1.5728724790247688001134430625687
y[1] (numeric) = 1.572872479024768800113443062569
absolute error = 3e-31
relative error = 1.9073383506971244536874363862359e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.327
y[1] (analytic) = 1.5729062819327013419529284378812
y[1] (numeric) = 1.5729062819327013419529284378814
absolute error = 2e-31
relative error = 1.2715315737327396398412339775268e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.328
y[1] (analytic) = 1.572940447215385361379061818664
y[1] (numeric) = 1.5729404472153853613790618186643
absolute error = 3e-31
relative error = 1.9072559328682613447073561471314e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.329
y[1] (analytic) = 1.5729749767361591065428918941313
y[1] (numeric) = 1.5729749767361591065428918941316
absolute error = 3e-31
relative error = 1.9072140653024520828110810318982e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.33
y[1] (analytic) = 1.5730098723569038737222151242577
y[1] (numeric) = 1.573009872356903873722215124258
absolute error = 3e-31
relative error = 1.9071717557023208640970586114603e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.331
y[1] (analytic) = 1.573045135938036559798873136657
y[1] (numeric) = 1.5730451359380365597988731366573
absolute error = 3e-31
relative error = 1.9071290018712929505306239493687e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.332
y[1] (analytic) = 1.5730807693385022205936457547472
y[1] (numeric) = 1.5730807693385022205936457547475
absolute error = 3e-31
relative error = 1.9070858016155985575401226658668e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.333
y[1] (analytic) = 1.5731167744157666350885063077084
y[1] (numeric) = 1.5731167744157666350885063077087
absolute error = 3e-31
relative error = 1.9070421527442917604930227129457e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.334
y[1] (analytic) = 1.573153153025808875565982323298
y[1] (numeric) = 1.5731531530258088755659823232983
absolute error = 3e-31
relative error = 1.9069980530692694257618569388255e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.335
y[1] (analytic) = 1.5731899070231138836953410361739
y[1] (numeric) = 1.5731899070231138836953410361742
absolute error = 3e-31
relative error = 1.9069535004052901660137644447871e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=934.6MB, alloc=4.5MB, time=41.56
x[1] = 3.336
y[1] (analytic) = 1.5732270382606650525952953570845
y[1] (numeric) = 1.5732270382606650525952953570848
absolute error = 3e-31
relative error = 1.9069084925699933193557453376024e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.337
y[1] (analytic) = 1.5732645485899368149029020422117
y[1] (numeric) = 1.573264548589936814902902042212
absolute error = 3e-31
relative error = 1.9068630273839179519660962746977e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.338
y[1] (analytic) = 1.573302439860887236878299777192
y[1] (numeric) = 1.5733024398608872368782997771923
absolute error = 3e-31
relative error = 1.9068171026705218838408532844849e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.339
y[1] (analytic) = 1.5733407139219506185749107469874
y[1] (numeric) = 1.5733407139219506185749107469877
absolute error = 3e-31
relative error = 1.9067707162562007372824338189702e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.34
y[1] (analytic) = 1.5733793726200301001047050009352
y[1] (numeric) = 1.5733793726200301001047050009355
absolute error = 3e-31
relative error = 1.9067238659703070077560419578074e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.341
y[1] (analytic) = 1.5734184178004902740281025420593
y[1] (numeric) = 1.5734184178004902740281025420596
absolute error = 3e-31
relative error = 1.9066765496451691567377792305432e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.342
y[1] (analytic) = 1.5734578513071498038980635711857
y[1] (numeric) = 1.573457851307149803898063571186
absolute error = 3e-31
relative error = 1.9066287651161107261767887550507e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.343
y[1] (analytic) = 1.5734976749822740489878926996587
y[1] (numeric) = 1.573497674982274048987892699659
absolute error = 3e-31
relative error = 1.9065805102214694741921524033454e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.344
y[1] (analytic) = 1.5735378906665676952322582096071
y[1] (numeric) = 1.5735378906665676952322582096074
absolute error = 3e-31
relative error = 1.9065317828026165316236595993974e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.345
y[1] (analytic) = 1.5735785001991673924109025878587
y[1] (numeric) = 1.5735785001991673924109025878589
absolute error = 2e-31
relative error = 1.2709883871359837193693148170531e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.346
y[1] (analytic) = 1.5736195054176343976044955888426
y[1] (numeric) = 1.5736195054176343976044955888428
absolute error = 2e-31
relative error = 1.2709552678486946959454153756126e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.347
y[1] (analytic) = 1.5736609081579472249520559932603
y[1] (numeric) = 1.5736609081579472249520559932605
absolute error = 2e-31
relative error = 1.2709218292402682115431368791921e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.348
y[1] (analytic) = 1.5737027102544943017393430230359
y[1] (numeric) = 1.5737027102544943017393430230361
absolute error = 2e-31
relative error = 1.2708880698798353267543587867351e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=938.4MB, alloc=4.5MB, time=41.73
x[1] = 3.349
y[1] (analytic) = 1.5737449135400666308475930491895
y[1] (numeric) = 1.5737449135400666308475930491897
absolute error = 2e-31
relative error = 1.2708539883386134053980187526257e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.35
y[1] (analytic) = 1.5737875198458504595919517879033
y[1] (numeric) = 1.5737875198458504595919517879035
absolute error = 2e-31
relative error = 1.2708195831899189635779253095684e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.351
y[1] (analytic) = 1.573830531001419954978926621276
y[1] (numeric) = 1.5738305310014199549789266212762
absolute error = 2e-31
relative error = 1.2707848530091805308362168757187e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.352
y[1] (analytic) = 1.5738739488347298854121580031909
y[1] (numeric) = 1.5738739488347298854121580031911
absolute error = 2e-31
relative error = 1.2707497963739515231401799208541e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.353
y[1] (analytic) = 1.5739177751721083088757831174535
y[1] (numeric) = 1.5739177751721083088757831174537
absolute error = 2e-31
relative error = 1.2707144118639231274391159571720e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.354
y[1] (analytic) = 1.5739620118382492676246390449956
y[1] (numeric) = 1.5739620118382492676246390449958
absolute error = 2e-31
relative error = 1.2706786980609371975269290945974e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.355
y[1] (analytic) = 1.574006660656205489410526669592
y[1] (numeric) = 1.5740066606562054894105266695922
absolute error = 2e-31
relative error = 1.2706426535489991609450932839944e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.356
y[1] (analytic) = 1.5740517234473810952737304073035
y[1] (numeric) = 1.5740517234473810952737304073036
absolute error = 1e-31
relative error = 6.3530313845714546832982556504800e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.357
y[1] (analytic) = 1.574097202031524313928962583843
y[1] (numeric) = 1.5740972020315243139289625838431
absolute error = 1e-31
relative error = 6.3528478337259193162244717749541e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.358
y[1] (analytic) = 1.574143098226720202774874906375
y[1] (numeric) = 1.5741430982267202027748749063751
absolute error = 1e-31
relative error = 6.3526626081612581865268984914391e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.359
y[1] (analytic) = 1.5741894138493833755562529819948
y[1] (numeric) = 1.5741894138493833755562529819949
absolute error = 1e-31
relative error = 6.3524757008414163093347165864561e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.36
y[1] (analytic) = 1.5742361507142507367079832244151
y[1] (numeric) = 1.5742361507142507367079832244152
absolute error = 1e-31
relative error = 6.3522871047414800223319583262618e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.361
y[1] (analytic) = 1.5742833106343742224098547633037
y[1] (numeric) = 1.5742833106343742224098547633038
absolute error = 1e-31
relative error = 6.3520968128477418233428372181930e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=942.2MB, alloc=4.5MB, time=41.90
x[1] = 3.362
y[1] (analytic) = 1.574330895421113548381232127386
y[1] (numeric) = 1.5743308954211135483812321273861
absolute error = 1e-31
relative error = 6.3519048181577652536925780545561e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.363
y[1] (analytic) = 1.5743789068841289644446075129527
y[1] (numeric) = 1.5743789068841289644446075129528
absolute error = 1e-31
relative error = 6.3517111136804498259775332552995e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.364
y[1] (analytic) = 1.5744273468313740158870143739022
y[1] (numeric) = 1.5744273468313740158870143739024
absolute error = 2e-31
relative error = 1.2703031384872191989747124255755e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.365
y[1] (analytic) = 1.5744762170690883116482568780128
y[1] (numeric) = 1.5744762170690883116482568780129
absolute error = 1e-31
relative error = 6.3513185474564701696068700903858e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.366
y[1] (analytic) = 1.5745255194017902993648824668829
y[1] (numeric) = 1.574525519401790299364882466883
absolute error = 1e-31
relative error = 6.3511196717848697667067554841259e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.367
y[1] (analytic) = 1.5745752556322700472987973340178
y[1] (numeric) = 1.574575255632270047298797334018
absolute error = 2e-31
relative error = 1.2701838116952376603309985321592e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.368
y[1] (analytic) = 1.5746254275615820331793970969754
y[1] (numeric) = 1.5746254275615820331793970969756
absolute error = 2e-31
relative error = 1.2701433401193961036083783787668e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.369
y[1] (analytic) = 1.5746760369890379399880572854334
y[1] (numeric) = 1.5746760369890379399880572854336
absolute error = 2e-31
relative error = 1.2701025182451055105668839317956e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.37
y[1] (analytic) = 1.5747270857121994587138004976118
y[1] (numeric) = 1.574727085712199458713800497612
absolute error = 2e-31
relative error = 1.2700613446903804272714274562985e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.371
y[1] (analytic) = 1.5747785755268710981089291927841
y[1] (numeric) = 1.5747785755268710981089291927843
absolute error = 2e-31
relative error = 1.2700198180756067651164244363968e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.372
y[1] (analytic) = 1.5748305082270930014733850877597
y[1] (numeric) = 1.5748305082270930014733850877599
absolute error = 2e-31
relative error = 1.2699779370235548538638948588219e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.373
y[1] (analytic) = 1.5748828856051337704965680103226
y[1] (numeric) = 1.5748828856051337704965680103228
absolute error = 2e-31
relative error = 1.2699357001593925007790962000505e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.374
y[1] (analytic) = 1.5749357094514832961853188327825
y[1] (numeric) = 1.5749357094514832961853188327827
absolute error = 2e-31
relative error = 1.2698931061106980555802034918639e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.375
y[1] (analytic) = 1.5749889815548455969067427641476
y[1] (numeric) = 1.5749889815548455969067427641478
absolute error = 2e-31
relative error = 1.2698501535074734809176591615668e-29 %
Correct digits = 30
h = 0.001
memory used=946.0MB, alloc=4.5MB, time=42.06
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.376
y[1] (analytic) = 1.5750427037021316635745208200768
y[1] (numeric) = 1.575042703702131663574520820077
absolute error = 2e-31
relative error = 1.2698068409821574280979293448792e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.377
y[1] (analytic) = 1.575096877678452312007328715826
y[1] (numeric) = 1.5750968776784523120073287158263
absolute error = 3e-31
relative error = 1.9046447507544574766482861742951e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.378
y[1] (analytic) = 1.5751515052671110424879537389825
y[1] (numeric) = 1.5751515052671110424879537389827
absolute error = 2e-31
relative error = 1.2697191307072674252562666368915e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.379
y[1] (analytic) = 1.5752065882495969065516713559985
y[1] (numeric) = 1.5752065882495969065516713559988
absolute error = 3e-31
relative error = 1.9045120953523079555008959778355e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.38
y[1] (analytic) = 1.5752621284055773810324143895089
y[1] (numeric) = 1.5752621284055773810324143895091
absolute error = 2e-31
relative error = 1.2696299643947682110215071320967e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.381
y[1] (analytic) = 1.5753181275128912493952385722517
y[1] (numeric) = 1.5753181275128912493952385722519
absolute error = 2e-31
relative error = 1.2695848318317745412375092293804e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.382
y[1] (analytic) = 1.5753745873475414903835591382412
y[1] (numeric) = 1.5753745873475414903835591382414
absolute error = 2e-31
relative error = 1.2695393311932245919468801457658e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.383
y[1] (analytic) = 1.5754315096836881740096038527624
y[1] (numeric) = 1.5754315096836881740096038527626
absolute error = 2e-31
relative error = 1.2694934611289803355352310829226e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.384
y[1] (analytic) = 1.5754888962936413649164985099047
y[1] (numeric) = 1.5754888962936413649164985099049
absolute error = 2e-31
relative error = 1.2694472202914451931143061957594e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.385
y[1] (analytic) = 1.5755467489478540331403714398301
y[1] (numeric) = 1.5755467489478540331403714398303
absolute error = 2e-31
relative error = 1.2694006073355771444657484883861e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.386
y[1] (analytic) = 1.5756050694149149723008339679047
y[1] (numeric) = 1.5756050694149149723008339679049
absolute error = 2e-31
relative error = 1.2693536209189018403294249253229e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.387
y[1] (analytic) = 1.5756638594615417252481640543309
y[1] (numeric) = 1.5756638594615417252481640543311
absolute error = 2e-31
relative error = 1.2693062597015257167417607488375e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.388
y[1] (analytic) = 1.5757231208525735171954905161117
y[1] (numeric) = 1.5757231208525735171954905161119
absolute error = 2e-31
relative error = 1.2692585223461491111287321577829e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=949.8MB, alloc=4.5MB, time=42.23
TOP MAIN SOLVE Loop
x[1] = 3.389
y[1] (analytic) = 1.5757828553509641963642452931888
y[1] (numeric) = 1.575782855350964196364245293189
absolute error = 2e-31
relative error = 1.2692104075180793798573731772069e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.39
y[1] (analytic) = 1.5758430647177751821711211675322
y[1] (numeric) = 1.5758430647177751821711211675324
absolute error = 2e-31
relative error = 1.2691619138852440169488667940913e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.391
y[1] (analytic) = 1.5759037507121684209847421779486
y[1] (numeric) = 1.5759037507121684209847421779488
absolute error = 2e-31
relative error = 1.2691130401182037736555123154499e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.392
y[1] (analytic) = 1.5759649150913993494802236945346
y[1] (numeric) = 1.5759649150913993494802236945348
absolute error = 2e-31
relative error = 1.2690637848901657786030904831112e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.393
y[1] (analytic) = 1.5760265596108098656197687251513
y[1] (numeric) = 1.5760265596108098656197687251515
absolute error = 2e-31
relative error = 1.2690141468769966581993852170805e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.394
y[1] (analytic) = 1.5760886860238213072874165221644
y[1] (numeric) = 1.5760886860238213072874165221646
absolute error = 2e-31
relative error = 1.2689641247572356570088660185039e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.395
y[1] (analytic) = 1.5761512960819274386060289410925
y[1] (numeric) = 1.5761512960819274386060289410928
absolute error = 3e-31
relative error = 1.9033705758181616366891821587326e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.396
y[1] (analytic) = 1.5762143915346874439645692738676
y[1] (numeric) = 1.5762143915346874439645692738679
absolute error = 3e-31
relative error = 1.9032943843883052013698425181237e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.397
y[1] (analytic) = 1.5762779741297189297836974382493
y[1] (numeric) = 1.5762779741297189297836974382496
absolute error = 3e-31
relative error = 1.9032176108762379041982660486275e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.398
y[1] (analytic) = 1.5763420456126909340476744516837
y[1] (numeric) = 1.576342045612690934047674451684
absolute error = 3e-31
relative error = 1.9031402533160011097541279594973e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.399
y[1] (analytic) = 1.5764066077273169436305380526659
y[1] (numeric) = 1.5764066077273169436305380526661
absolute error = 2e-31
relative error = 1.2687082064971623307155438441544e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.4
y[1] (analytic) = 1.5764716622153479194444801555949
y[1] (numeric) = 1.5764716622153479194444801555952
absolute error = 3e-31
relative error = 1.9029837782077407253936207825489e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.401
y[1] (analytic) = 1.5765372108165653294383255363113
y[1] (numeric) = 1.5765372108165653294383255363115
absolute error = 2e-31
relative error = 1.2686031044989434077793430323973e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=953.7MB, alloc=4.5MB, time=42.39
x[1] = 3.402
y[1] (analytic) = 1.5766032552687741894739797451121
y[1] (numeric) = 1.5766032552687741894739797451123
absolute error = 2e-31
relative error = 1.2685499622789035229292610625953e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.403
y[1] (analytic) = 1.5766697973077961121086827321747
y[1] (numeric) = 1.5766697973077961121086827321749
absolute error = 2e-31
relative error = 1.2684964241815572321850916033588e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.404
y[1] (analytic) = 1.5767368386674623633108730471049
y[1] (numeric) = 1.5767368386674623633108730471051
absolute error = 2e-31
relative error = 1.2684424889128913588725803911477e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.405
y[1] (analytic) = 1.5768043810796069271374357398957
y[1] (numeric) = 1.576804381079606927137435739896
absolute error = 3e-31
relative error = 1.9025822327725643697477110597533e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.406
y[1] (analytic) = 1.5768724262740595784000752450584
y[1] (numeric) = 1.5768724262740595784000752450587
absolute error = 3e-31
relative error = 1.9025001325494682825834418209285e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.407
y[1] (analytic) = 1.5769409759786389633485225741966
y[1] (numeric) = 1.5769409759786389633485225741968
absolute error = 2e-31
relative error = 1.2682782871811758533293069236984e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.408
y[1] (analytic) = 1.57701003191914568839825407497
y[1] (numeric) = 1.5770100319191456883982540749703
absolute error = 3e-31
relative error = 1.9023341255154500603424576328620e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.409
y[1] (analytic) = 1.577079595819355416930366836358
y[1] (numeric) = 1.5770795958193554169303668363582
absolute error = 2e-31
relative error = 1.2681668099072200948305443105356e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.41
y[1] (analytic) = 1.5771496694010119741912235315152
y[1] (numeric) = 1.5771496694010119741912235315154
absolute error = 2e-31
relative error = 1.2681104645950203214988603779204e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.411
y[1] (analytic) = 1.5772202543838204603194470904491
y[1] (numeric) = 1.5772202543838204603194470904493
absolute error = 2e-31
relative error = 1.2680537131330137230887364463329e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.412
y[1] (analytic) = 1.5772913524854403715278130853557
y[1] (numeric) = 1.5772913524854403715278130853559
absolute error = 2e-31
relative error = 1.2679965542500884019358081701207e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.413
y[1] (analytic) = 1.5773629654214787294675550918735
y[1] (numeric) = 1.5773629654214787294675550918737
absolute error = 2e-31
relative error = 1.2679389866780539549770363458842e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.414
y[1] (analytic) = 1.5774350949054832188025655598732
y[1] (numeric) = 1.5774350949054832188025655598734
absolute error = 2e-31
relative error = 1.2678810091516545293588572683102e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=957.5MB, alloc=4.5MB, time=42.56
x[1] = 3.415
y[1] (analytic) = 1.5775077426489353330209418878295
y[1] (numeric) = 1.5775077426489353330209418878297
absolute error = 2e-31
relative error = 1.2678226204085818715517110457532e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.416
y[1] (analytic) = 1.5775809103612435285112944454518
y[1] (numeric) = 1.577580910361243528511294445452
absolute error = 2e-31
relative error = 1.2677638191894883696564473019225e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.417
y[1] (analytic) = 1.577654599749736386931200230214
y[1] (numeric) = 1.5776545997497363869312002302142
absolute error = 2e-31
relative error = 1.2677046042380000885875493907174e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.418
y[1] (analytic) = 1.5777288125196557858951526748519
y[1] (numeric) = 1.5777288125196557858951526748521
absolute error = 2e-31
relative error = 1.2676449743007297978175691966348e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.419
y[1] (analytic) = 1.5778035503741500780093248449232
y[1] (numeric) = 1.5778035503741500780093248449234
absolute error = 2e-31
relative error = 1.2675849281272899913666248392709e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.42
y[1] (analytic) = 1.5778788150142672782804298782825
y[1] (numeric) = 1.5778788150142672782804298782827
absolute error = 2e-31
relative error = 1.2675244644703058997202832029227e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.421
y[1] (analytic) = 1.5779546081389482599259290219464
y[1] (numeric) = 1.5779546081389482599259290219466
absolute error = 2e-31
relative error = 1.2674635820854284933586282265642e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.422
y[1] (analytic) = 1.5780309314450199586128040164441
y[1] (numeric) = 1.5780309314450199586128040164443
absolute error = 2e-31
relative error = 1.2674022797313474775788043705809e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.423
y[1] (analytic) = 1.5781077866271885851520768635029
y[1] (numeric) = 1.5781077866271885851520768635031
absolute error = 2e-31
relative error = 1.2673405561698042782928226793491e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.424
y[1] (analytic) = 1.5781851753780328466762261899402
y[1] (numeric) = 1.5781851753780328466762261899404
absolute error = 2e-31
relative error = 1.2672784101656050184819244374486e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.425
y[1] (analytic) = 1.5782630993879971763266154890574
y[1] (numeric) = 1.5782630993879971763266154890576
absolute error = 2e-31
relative error = 1.2672158404866334849883146261127e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.426
y[1] (analytic) = 1.5783415603453849714780144807965
y[1] (numeric) = 1.5783415603453849714780144807966
absolute error = 1e-31
relative error = 6.3357642295193204266230213958811e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.427
y[1] (analytic) = 1.5784205599363518405272606835571
y[1] (numeric) = 1.5784205599363518405272606835572
absolute error = 1e-31
relative error = 6.3354471259568739709041873385938e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=961.3MB, alloc=4.5MB, time=42.72
x[1] = 3.428
y[1] (analytic) = 1.578500099844898858273074034025
y[1] (numeric) = 1.5785000998448988582730740340251
absolute error = 1e-31
relative error = 6.3351278856318004465426253143608e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.429
y[1] (analytic) = 1.5785801817528658299140030267592
y[1] (numeric) = 1.5785801817528658299140030267593
absolute error = 1e-31
relative error = 6.3348065024457193823033184480172e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.43
y[1] (analytic) = 1.5786608073399245636914463727725
y[1] (numeric) = 1.5786608073399245636914463727726
absolute error = 1e-31
relative error = 6.3344829703159620153314222152598e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.431
y[1] (analytic) = 1.5787419782835721522046595960491
y[1] (numeric) = 1.5787419782835721522046595960492
absolute error = 1e-31
relative error = 6.3341572831756358015882602260730e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.432
y[1] (analytic) = 1.5788236962591242624246212990143
y[1] (numeric) = 1.5788236962591242624246212990144
absolute error = 1e-31
relative error = 6.3338294349736888667391061253587e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.433
y[1] (analytic) = 1.5789059629397084344335990325451
y[1] (numeric) = 1.5789059629397084344335990325452
absolute error = 1e-31
relative error = 6.3334994196749743958792663045642e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.434
y[1] (analytic) = 1.5789887799962573889172198033225
y[1] (numeric) = 1.5789887799962573889172198033226
absolute error = 1e-31
relative error = 6.3331672312603149604830094027836e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.435
y[1] (analytic) = 1.5790721490975023434358152413207
y[1] (numeric) = 1.5790721490975023434358152413208
absolute error = 1e-31
relative error = 6.3328328637265667809579706194679e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.436
y[1] (analytic) = 1.5791560719099663375017763331408
y[1] (numeric) = 1.5791560719099663375017763331408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.437
y[1] (analytic) = 1.5792405500979575664896174028695
y[1] (numeric) = 1.5792405500979575664896174028695
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.438
y[1] (analytic) = 1.5793255853235627244054136913204
y[1] (numeric) = 1.5793255853235627244054136913204
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.439
y[1] (analytic) = 1.579411179246640355542241447029
y[1] (numeric) = 1.579411179246640355542241447029
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.44
y[1] (analytic) = 1.5794973335248142150482138983786
y[1] (numeric) = 1.5794973335248142150482138983787
absolute error = 1e-31
relative error = 6.3311281302919008853629953851240e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=965.1MB, alloc=4.5MB, time=42.89
x[1] = 3.441
y[1] (analytic) = 1.5795840498134666384336708258597
y[1] (numeric) = 1.5795840498134666384336708258598
absolute error = 1e-31
relative error = 6.3307805628835653156496794316405e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.442
y[1] (analytic) = 1.5796713297657319200440436968636
y[1] (numeric) = 1.5796713297657319200440436968637
absolute error = 1e-31
relative error = 6.3304307747884604976047704004788e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.443
y[1] (analytic) = 1.579759175032489700524882462722
y[1] (numeric) = 1.5797591750324897005248824627221
absolute error = 1e-31
relative error = 6.3300787601340170325545515492727e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.444
y[1] (analytic) = 1.5798475872623583633054941490679
y[1] (numeric) = 1.5798475872623583633054941490679
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.445
y[1] (analytic) = 1.5799365681016884401276072961586
y[1] (numeric) = 1.5799365681016884401276072961587
absolute error = 1e-31
relative error = 6.3293680277399443281102503066914e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.446
y[1] (analytic) = 1.580026119194556025645440125712
y[1] (numeric) = 1.580026119194556025645440125712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.447
y[1] (analytic) = 1.5801162421827562011235140252
y[1] (numeric) = 1.5801162421827562011235140252
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.448
y[1] (analytic) = 1.5802069387057964672585175495802
y[1] (numeric) = 1.5802069387057964672585175495802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.449
y[1] (analytic) = 1.5802982104008901861514896442506
y[1] (numeric) = 1.5802982104008901861514896442507
absolute error = 1e-31
relative error = 6.3279195876980706942242646977146e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.45
y[1] (analytic) = 1.5803900589029500324565541917528
y[1] (numeric) = 1.5803900589029500324565541917528
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.451
y[1] (analytic) = 1.5804824858445814537324012785512
y[1] (numeric) = 1.5804824858445814537324012785513
absolute error = 1e-31
relative error = 6.3271817875641814580627068844460e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.452
y[1] (analytic) = 1.5805754928560761400226737672468
y[1] (numeric) = 1.5805754928560761400226737672469
absolute error = 1e-31
relative error = 6.3268094723714527697063377351963e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.453
y[1] (analytic) = 1.5806690815654055026913808439685
y[1] (numeric) = 1.5806690815654055026913808439686
absolute error = 1e-31
relative error = 6.3264348728176324153013938203898e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.454
y[1] (analytic) = 1.5807632535982141625394231905959
y[1] (numeric) = 1.5807632535982141625394231905959
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
memory used=968.9MB, alloc=4.5MB, time=43.05
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.455
y[1] (analytic) = 1.5808580105778134472282773070283
y[1] (numeric) = 1.5808580105778134472282773070283
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.456
y[1] (analytic) = 1.580953354125174898036849280094
y[1] (numeric) = 1.5809533541251748980368492800941
absolute error = 1e-31
relative error = 6.3252973112122772687550440430244e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.457
y[1] (analytic) = 1.5810492858589237859774709630261
y[1] (numeric) = 1.5810492858589237859774709630262
absolute error = 1e-31
relative error = 6.3249135175235105561865031801095e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.458
y[1] (analytic) = 1.581145807395332637296974092875
y[1] (numeric) = 1.5811458073953326372969740928751
absolute error = 1e-31
relative error = 6.3245274112153452391043360626328e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.459
y[1] (analytic) = 1.5812429203483147683887403329294
y[1] (numeric) = 1.5812429203483147683887403329295
absolute error = 1e-31
relative error = 6.3241389866885279041081065644499e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.46
y[1] (analytic) = 1.5813406263294178301415875833247
y[1] (numeric) = 1.5813406263294178301415875833248
absolute error = 1e-31
relative error = 6.3237482383614196584596531764355e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.461
y[1] (analytic) = 1.5814389269478173617513151556858
y[1] (numeric) = 1.5814389269478173617513151556859
absolute error = 1e-31
relative error = 6.3233551606700581456391582014773e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.462
y[1] (analytic) = 1.5815378238103103540206925570294
y[1] (numeric) = 1.5815378238103103540206925570296
absolute error = 2e-31
relative error = 1.2645919496136438904609430987060e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.463
y[1] (analytic) = 1.5816373185213088221736386743885
y[1] (numeric) = 1.5816373185213088221736386743886
absolute error = 1e-31
relative error = 6.3225619950274799050058916917494e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.464
y[1] (analytic) = 1.5817374126828333882093000948711
y[1] (numeric) = 1.5817374126828333882093000948712
absolute error = 1e-31
relative error = 6.3221618960372777550014305229219e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.465
y[1] (analytic) = 1.581838107894506872821699136286
y[1] (numeric) = 1.581838107894506872821699136286
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.466
y[1] (analytic) = 1.5819394057535478969105839011958
y[1] (numeric) = 1.5819394057535478969105839011959
absolute error = 1e-31
relative error = 6.3213546382559175878903455374453e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.467
y[1] (analytic) = 1.5820413078547644927090743024693
y[1] (numeric) = 1.5820413078547644927090743024694
absolute error = 1e-31
relative error = 6.3209474685334992606601112611050e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=972.7MB, alloc=4.5MB, time=43.21
x[1] = 3.468
y[1] (analytic) = 1.5821438157905477245536595412273
y[1] (numeric) = 1.5821438157905477245536595412274
absolute error = 1e-31
relative error = 6.3205379309992202704363327667815e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.469
y[1] (analytic) = 1.5822469311508653193220639486888
y[1] (numeric) = 1.5822469311508653193220639486889
absolute error = 1e-31
relative error = 6.3201260202327497324132278661916e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.47
y[1] (analytic) = 1.58235065552325530656445943196
y[1] (numeric) = 1.5823506555232553065644594319601
absolute error = 1e-31
relative error = 6.3197117308319863531667691270678e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.471
y[1] (analytic) = 1.5824549904928196683534639904376
y[1] (numeric) = 1.5824549904928196683534639904376
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.472
y[1] (analytic) = 1.5825599376422179988783268943636
y[1] (numeric) = 1.5825599376422179988783268943637
absolute error = 1e-31
relative error = 6.3188759946106888611200991637358e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.473
y[1] (analytic) = 1.5826654985516611738086621403403
y[1] (numeric) = 1.5826654985516611738086621403403
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.474
y[1] (analytic) = 1.5827716747989050294530527204263
y[1] (numeric) = 1.5827716747989050294530527204264
absolute error = 1e-31
relative error = 6.3180306794854186365230661387447e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.475
y[1] (analytic) = 1.5828784679592440517378090619736
y[1] (numeric) = 1.5828784679592440517378090619737
absolute error = 1e-31
relative error = 6.3176044165239601697209008275418e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.476
y[1] (analytic) = 1.582985879605505075031125714753
y[1] (numeric) = 1.5829858796055050750311257147531
absolute error = 1e-31
relative error = 6.3171757429018215694452352109316e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.477
y[1] (analytic) = 1.5830939113080409908378409803424
y[1] (numeric) = 1.5830939113080409908378409803425
absolute error = 1e-31
relative error = 6.3167446533462055101755744855302e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.478
y[1] (analytic) = 1.5832025646347244663899646963497
y[1] (numeric) = 1.5832025646347244663899646963498
absolute error = 1e-31
relative error = 6.3163111426030275052398823426728e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.479
y[1] (analytic) = 1.5833118411509416731580998049844
y[1] (numeric) = 1.5833118411509416731580998049845
absolute error = 1e-31
relative error = 6.3158752054369757151545142465772e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.48
y[1] (analytic) = 1.5834217424195860253088436519294
y[1] (numeric) = 1.5834217424195860253088436519296
absolute error = 2e-31
relative error = 1.2630873673263141235342090330941e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=976.6MB, alloc=4.5MB, time=43.38
x[1] = 3.481
y[1] (analytic) = 1.5835322700010519281332151775596
y[1] (numeric) = 1.5835322700010519281332151775598
absolute error = 2e-31
relative error = 1.2629992061978449075766369130518e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.482
y[1] (analytic) = 1.5836434254532285364711142784621
y[1] (numeric) = 1.5836434254532285364711142784623
absolute error = 2e-31
relative error = 1.2629105566662602073495368125321e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.483
y[1] (analytic) = 1.5837552103314935231567796330996
y[1] (numeric) = 1.5837552103314935231567796330997
absolute error = 1e-31
relative error = 6.3141070884981741563739159394145e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.484
y[1] (analytic) = 1.5838676261887068575101712014762
y[1] (numeric) = 1.5838676261887068575101712014763
absolute error = 1e-31
relative error = 6.3136589413492875204376338739622e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.485
y[1] (analytic) = 1.5839806745752045938991634249809
y[1] (numeric) = 1.583980674575204593899163424981
absolute error = 1e-31
relative error = 6.3132083367632132880753208814456e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.486
y[1] (analytic) = 1.584094357038792670397394869353
y[1] (numeric) = 1.5840943570387926703973948693531
absolute error = 1e-31
relative error = 6.3127552696377109596164836938139e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.487
y[1] (analytic) = 1.5842086751247407175625796711037
y[1] (numeric) = 1.5842086751247407175625796711038
absolute error = 1e-31
relative error = 6.3122997348897860325122677828826e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.488
y[1] (analytic) = 1.5843236303757758773600456658919
y[1] (numeric) = 1.584323630375775877360045665892
absolute error = 1e-31
relative error = 6.3118417274557485058198430511120e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.489
y[1] (analytic) = 1.5844392243320766322562234964618
y[1] (numeric) = 1.5844392243320766322562234964618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.49
y[1] (analytic) = 1.5845554585312666445067703179557
y[1] (numeric) = 1.5845554585312666445067703179558
absolute error = 1e-31
relative error = 6.3109182743714481116117701017873e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.491
y[1] (analytic) = 1.5846723345084086056639709398959
y[1] (numeric) = 1.584672334508408605663970939896
absolute error = 1e-31
relative error = 6.3104528186908521376010270204327e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.492
y[1] (analytic) = 1.5847898537959980963280183670273
y[1] (numeric) = 1.5847898537959980963280183670274
absolute error = 1e-31
relative error = 6.3099848702635932736575779949415e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.493
y[1] (analytic) = 1.5849080179239574561667347257139
y[1] (numeric) = 1.584908017923957456166734725714
absolute error = 1e-31
relative error = 6.3095144241233761788963461080920e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=980.4MB, alloc=4.5MB, time=43.55
x[1] = 3.494
y[1] (analytic) = 1.5850268284196296642282524888314
y[1] (numeric) = 1.5850268284196296642282524888315
absolute error = 1e-31
relative error = 6.3090414753235577688959197498646e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.495
y[1] (analytic) = 1.5851462868077722295711347402709
y[1] (numeric) = 1.585146286807772229571134740271
absolute error = 1e-31
relative error = 6.3085660189372046142411343371862e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.496
y[1] (analytic) = 1.5852663946105510922363719504279
y[1] (numeric) = 1.585266394610551092236371950428
absolute error = 1e-31
relative error = 6.3080880500571501745430939997974e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.497
y[1] (analytic) = 1.5853871533475345345856513665561
y[1] (numeric) = 1.5853871533475345345856513665563
absolute error = 2e-31
relative error = 1.2615215127592103732617044682418e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.498
y[1] (analytic) = 1.585508564535687103030253656792
y[1] (numeric) = 1.5855085645356871030302536567922
absolute error = 2e-31
relative error = 1.2614249110572895926064043352443e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.499
y[1] (analytic) = 1.585630629689363540174889884157
y[1] (numeric) = 1.5856306296893635401748898841573
absolute error = 3e-31
relative error = 1.8919917059042442977659717240462e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.5
y[1] (analytic) = 1.5857533503203027274007502271016
y[1] (numeric) = 1.5857533503203027274007502271018
absolute error = 2e-31
relative error = 1.2612301904303241926778837152378e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.501
y[1] (analytic) = 1.5858767279376216379119941063169
y[1] (numeric) = 1.5858767279376216379119941063171
absolute error = 2e-31
relative error = 1.2611320695782776836844723832312e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.502
y[1] (analytic) = 1.5860007640478093002698695237937
y[1] (numeric) = 1.5860007640478093002698695237939
absolute error = 2e-31
relative error = 1.2610334404225487961974851506334e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.503
y[1] (analytic) = 1.5861254601547207724386074696001
y[1] (numeric) = 1.5861254601547207724386074696003
absolute error = 2e-31
relative error = 1.2609343020096955450161701270804e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.504
y[1] (analytic) = 1.586250817759571126367195204768
y[1] (numeric) = 1.5862508177595711263671952047681
absolute error = 1e-31
relative error = 6.3041732669515983680704472389966e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.505
y[1] (analytic) = 1.5863768383609294431310900851726
y[1] (numeric) = 1.5863768383609294431310900851727
absolute error = 1e-31
relative error = 6.3036724680953889509634576714096e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.506
y[1] (analytic) = 1.5865035234547128186578933515451
y[1] (numeric) = 1.5865035234547128186578933515453
absolute error = 2e-31
relative error = 1.2606338217546924675908529156623e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=984.2MB, alloc=4.5MB, time=43.71
x[1] = 3.507
y[1] (analytic) = 1.5866308745341803800609609749296
y[1] (numeric) = 1.5866308745341803800609609749298
absolute error = 2e-31
relative error = 1.2605326368599633067287076474424e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.508
y[1] (analytic) = 1.5867588930899273126048862151631
y[1] (numeric) = 1.5867588930899273126048862151632
absolute error = 1e-31
relative error = 6.3021546900088898163227252099617e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.509
y[1] (analytic) = 1.5868875806098788973267460224843
y[1] (numeric) = 1.5868875806098788973267460224844
absolute error = 1e-31
relative error = 6.3016436212556156857201581741400e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.51
y[1] (analytic) = 1.5870169385792845593369607893366
y[1] (numeric) = 1.5870169385792845593369607893367
absolute error = 1e-31
relative error = 6.3011299734154776236075053103684e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.511
y[1] (analytic) = 1.5871469684807119268235742409888
y[1] (numeric) = 1.5871469684807119268235742409889
absolute error = 1e-31
relative error = 6.3006137418845636656677791356062e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.512
y[1] (analytic) = 1.5872776717940409007837174399342
y[1] (numeric) = 1.5872776717940409007837174399344
absolute error = 2e-31
relative error = 1.2600189844159241566057377969769e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.513
y[1] (analytic) = 1.5874090499964577355059779703051
y[1] (numeric) = 1.5874090499964577355059779703053
absolute error = 2e-31
relative error = 1.2599147018876218143735496991577e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.514
y[1] (analytic) = 1.5875411045624491298273523649315
y[1] (numeric) = 1.5875411045624491298273523649317
absolute error = 2e-31
relative error = 1.2598098998836511498996478955837e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.515
y[1] (analytic) = 1.5876738369637963291884167393586
y[1] (numeric) = 1.5876738369637963291884167393588
absolute error = 2e-31
relative error = 1.2597045774998217910695772973394e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.516
y[1] (analytic) = 1.5878072486695692385103074042743
y[1] (numeric) = 1.5878072486695692385103074042745
absolute error = 2e-31
relative error = 1.2595987338361182710489824594155e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.517
y[1] (analytic) = 1.5879413411461205459170599405759
y[1] (numeric) = 1.5879413411461205459170599405761
absolute error = 2e-31
relative error = 1.2594923679967107094858046628384e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.518
y[1] (analytic) = 1.5880761158570798573268118398849
y[1] (numeric) = 1.5880761158570798573268118398851
absolute error = 2e-31
relative error = 1.2593854790899654537415631575232e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.519
y[1] (analytic) = 1.588211574263347841935330337878
y[1] (numeric) = 1.5882115742633478419353303378782
absolute error = 2e-31
relative error = 1.2592780662284556798364197066247e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.52
y[1] (analytic) = 1.5883477178230903886152834985171
y[1] (numeric) = 1.5883477178230903886152834985173
absolute error = 2e-31
relative error = 1.2591701285289719527933391452878e-29 %
Correct digits = 30
h = 0.001
memory used=988.0MB, alloc=4.5MB, time=43.88
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.521
y[1] (analytic) = 1.5884845479917327732546289443031
y[1] (numeric) = 1.5884845479917327732546289443034
absolute error = 3e-31
relative error = 1.8885924976687991191009272689726e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.522
y[1] (analytic) = 1.5886220662219538370574508712216
y[1] (numeric) = 1.5886220662219538370574508712218
absolute error = 2e-31
relative error = 1.2589526751043949197460267708428e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.523
y[1] (analytic) = 1.5887602739636801758305321372687
y[1] (numeric) = 1.5887602739636801758305321372689
absolute error = 2e-31
relative error = 1.2588431576340641572097911897014e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.524
y[1] (analytic) = 1.5888991726640803402789042705235
y[1] (numeric) = 1.5888991726640803402789042705237
absolute error = 2e-31
relative error = 1.2587331118353053599376451511101e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.525
y[1] (analytic) = 1.5890387637675590473335742068321
y[1] (numeric) = 1.5890387637675590473335742068323
absolute error = 2e-31
relative error = 1.2586225368461530001491854123887e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.526
y[1] (analytic) = 1.5891790487157514025345824384789
y[1] (numeric) = 1.5891790487157514025345824384792
absolute error = 3e-31
relative error = 1.8877671477133821464561861436064e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.527
y[1] (analytic) = 1.5893200289475171334925030339094
y[1] (numeric) = 1.5893200289475171334925030339096
absolute error = 2e-31
relative error = 1.2583997958702151538163985057550e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.528
y[1] (analytic) = 1.5894617058989348344514516748143
y[1] (numeric) = 1.5894617058989348344514516748145
absolute error = 2e-31
relative error = 1.2582876281809390426734803167654e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.529
y[1] (analytic) = 1.5896040810032962219766234508712
y[1] (numeric) = 1.5896040810032962219766234508714
absolute error = 2e-31
relative error = 1.2581749278963085249856197130232e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.53
y[1] (analytic) = 1.589747155691100401789337654331
y[1] (numeric) = 1.5897471556911004017893376543312
absolute error = 2e-31
relative error = 1.2580616941758597188238330372207e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.531
y[1] (analytic) = 1.5898909313900481467725222266276
y[1] (numeric) = 1.5898909313900481467725222266278
absolute error = 2e-31
relative error = 1.2579479261834595260395280681587e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.532
y[1] (analytic) = 1.5900354095250361861695258274428
y[1] (numeric) = 1.590035409525036186169525827443
absolute error = 2e-31
relative error = 1.2578336230873156810927592016171e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.533
y[1] (analytic) = 1.5901805915181515059991007233639
y[1] (numeric) = 1.5901805915181515059991007233642
absolute error = 3e-31
relative error = 1.8865781760899801328753233149709e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=991.8MB, alloc=4.5MB, time=44.05
x[1] = 3.534
y[1] (analytic) = 1.5903264787886656607093548286036
y[1] (numeric) = 1.5903264787886656607093548286038
absolute error = 2e-31
relative error = 1.2576034082783921158481682325893e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.535
y[1] (analytic) = 1.5904730727530290960934262743878
y[1] (numeric) = 1.5904730727530290960934262743881
absolute error = 3e-31
relative error = 1.8862312423857327604746087888951e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.536
y[1] (analytic) = 1.5906203748248654834895888367466
y[1] (numeric) = 1.5906203748248654834895888367469
absolute error = 3e-31
relative error = 1.8860565647729198769900029086141e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.537
y[1] (analytic) = 1.590768386414966065288451414729
y[1] (numeric) = 1.5907683864149660652884514147292
absolute error = 2e-31
relative error = 1.2572540522428274060965860662853e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.538
y[1] (analytic) = 1.5909171089312840117698695227065
y[1] (numeric) = 1.5909171089312840117698695227067
absolute error = 2e-31
relative error = 1.2571365213009255395476305556750e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.539
y[1] (analytic) = 1.5910665437789287892921414415946
y[1] (numeric) = 1.5910665437789287892921414415949
absolute error = 3e-31
relative error = 1.8855276743326681915246756649893e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.54
y[1] (analytic) = 1.5912166923601605398560162646985
y[1] (numeric) = 1.5912166923601605398560162646987
absolute error = 2e-31
relative error = 1.2568998362086779042198132915560e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.541
y[1] (analytic) = 1.5913675560743844720659955746561
y[1] (numeric) = 1.5913675560743844720659955746563
absolute error = 2e-31
relative error = 1.2567806804693428301742663265445e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.542
y[1] (analytic) = 1.5915191363181452635113648987951
y[1] (numeric) = 1.5915191363181452635113648987953
absolute error = 2e-31
relative error = 1.2566609815492656827725120147395e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.543
y[1] (analytic) = 1.5916714344851214745893454113125
y[1] (numeric) = 1.5916714344851214745893454113126
absolute error = 1e-31
relative error = 6.2827036933252679835969962140158e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.544
y[1] (analytic) = 1.5918244519661199737927105822223
y[1] (numeric) = 1.5918244519661199737927105822224
absolute error = 1e-31
relative error = 6.2820997551888577876567289578428e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.545
y[1] (analytic) = 1.5919781901490703744841666151729
y[1] (numeric) = 1.591978190149070374484166615173
absolute error = 1e-31
relative error = 6.2814930894647592331863438618659e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.546
y[1] (analytic) = 1.5921326504190194831797495691931
y[1] (numeric) = 1.5921326504190194831797495691932
absolute error = 1e-31
relative error = 6.2808836923030171897668655434962e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=995.6MB, alloc=4.5MB, time=44.22
x[1] = 3.547
y[1] (analytic) = 1.5922878341581257593634460233769
y[1] (numeric) = 1.592287834158125759363446023377
absolute error = 1e-31
relative error = 6.2802715598761067281921699048010e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.548
y[1] (analytic) = 1.5924437427456537868551980186377
y[1] (numeric) = 1.5924437427456537868551980186378
absolute error = 1e-31
relative error = 6.2796566883789796136858702859040e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.549
y[1] (analytic) = 1.5926003775579687567544067971397
y[1] (numeric) = 1.5926003775579687567544067971398
absolute error = 1e-31
relative error = 6.2790390740291105521015681139099e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.55
y[1] (analytic) = 1.5927577399685309619810035580367
y[1] (numeric) = 1.5927577399685309619810035580368
absolute error = 1e-31
relative error = 6.2784187130665431876543069009384e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.551
y[1] (analytic) = 1.5929158313478903034361090578935
y[1] (numeric) = 1.5929158313478903034361090578936
absolute error = 1e-31
relative error = 6.2777956017539358507360784713778e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.552
y[1] (analytic) = 1.5930746530636808078042574058272
y[1] (numeric) = 1.5930746530636808078042574058273
absolute error = 1e-31
relative error = 6.2771697363766070543733019639855e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.553
y[1] (analytic) = 1.5932342064806151570191128371631
y[1] (numeric) = 1.5932342064806151570191128371632
absolute error = 1e-31
relative error = 6.2765411132425807378893293553410e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.554
y[1] (analytic) = 1.5933944929604792294145615954443
y[1] (numeric) = 1.5933944929604792294145615954444
absolute error = 1e-31
relative error = 6.2759097286826312563402258800026e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.555
y[1] (analytic) = 1.5935555138621266525830143111495
y[1] (numeric) = 1.5935555138621266525830143111496
absolute error = 1e-31
relative error = 6.2752755790503281142973296684432e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.556
y[1] (analytic) = 1.5937172705414733679627074366451
y[1] (numeric) = 1.5937172705414733679627074366452
absolute error = 1e-31
relative error = 6.2746386607220804425554120716698e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.557
y[1] (analytic) = 1.5938797643514922071757453809208
y[1] (numeric) = 1.5938797643514922071757453809209
absolute error = 1e-31
relative error = 6.2739989700971812163506383728011e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.558
y[1] (analytic) = 1.5940429966422074801385779847066
y[1] (numeric) = 1.5940429966422074801385779847067
absolute error = 1e-31
relative error = 6.2733565035978512136779677786272e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.559
y[1] (analytic) = 1.5942069687606895749665608868466
y[1] (numeric) = 1.5942069687606895749665608868468
absolute error = 2e-31
relative error = 1.2545422515338565424606263224597e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=999.4MB, alloc=4.5MB, time=44.38
x[1] = 3.56
y[1] (analytic) = 1.5943716820510495696941991564883
y[1] (numeric) = 1.5943716820510495696941991564884
absolute error = 1e-31
relative error = 6.2720632287796829240698893621653e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.561
y[1] (analytic) = 1.5945371378544338558326273029266
y[1] (numeric) = 1.5945371378544338558326273029267
absolute error = 1e-31
relative error = 6.2714124134203171651088835480454e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.562
y[1] (analytic) = 1.5947033375090187737858314260169
y[1] (numeric) = 1.5947033375090187737858314260169
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.563
y[1] (analytic) = 1.5948702823500052601470718351125
y[1] (numeric) = 1.5948702823500052601470718351125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.564
y[1] (analytic) = 1.5950379737096135068969169437022
y[1] (numeric) = 1.5950379737096135068969169437022
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.565
y[1] (analytic) = 1.5952064129170776325242516404886
y[1] (numeric) = 1.5952064129170776325242516404886
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.566
y[1] (analytic) = 1.5953756012986403650915756457705
y[1] (numeric) = 1.5953756012986403650915756457704
absolute error = 1e-31
relative error = 6.2681164183907357026048006913055e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.567
y[1] (analytic) = 1.5955455401775477372658595848453
y[1] (numeric) = 1.5955455401775477372658595848453
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.568
y[1] (analytic) = 1.5957162308740437933361786479355
y[1] (numeric) = 1.5957162308740437933361786479355
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.569
y[1] (analytic) = 1.5958876747053653082392957590448
y[1] (numeric) = 1.5958876747053653082392957590448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.57
y[1] (analytic) = 1.5960598729857365186143181443726
y[1] (numeric) = 1.5960598729857365186143181443727
absolute error = 1e-31
relative error = 6.2654291165738535120590430836852e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.571
y[1] (analytic) = 1.5962328270263638659075030746338
y[1] (numeric) = 1.5962328270263638659075030746339
absolute error = 1e-31
relative error = 6.2647502486395344408619099072601e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.572
y[1] (analytic) = 1.5964065381354307515482403550514
y[1] (numeric) = 1.5964065381354307515482403550515
absolute error = 1e-31
relative error = 6.2640685571732809375103680235917e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.573
y[1] (analytic) = 1.5965810076180923042171908521002
y[1] (numeric) = 1.5965810076180923042171908521003
memory used=1003.3MB, alloc=4.5MB, time=44.55
absolute error = 1e-31
relative error = 6.2633840389463248369774015686576e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.574
y[1] (analytic) = 1.5967562367764701592275119774697
y[1] (numeric) = 1.5967562367764701592275119774698
absolute error = 1e-31
relative error = 6.2626966907534926347624567759474e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.575
y[1] (analytic) = 1.5969322269096472500400525973831
y[1] (numeric) = 1.5969322269096472500400525973832
absolute error = 1e-31
relative error = 6.2620065094132448166772314314865e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.576
y[1] (analytic) = 1.5971089793136626119333512995489
y[1] (numeric) = 1.5971089793136626119333512995491
absolute error = 2e-31
relative error = 1.2522626983535429808686344444095e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.577
y[1] (analytic) = 1.5972864952815061978492233308235
y[1] (numeric) = 1.5972864952815061978492233308237
absolute error = 2e-31
relative error = 1.2521235269365496430210112917432e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.578
y[1] (analytic) = 1.5974647761031137064346728163238
y[1] (numeric) = 1.5974647761031137064346728163239
absolute error = 1e-31
relative error = 6.2599189350479403350716616933580e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.579
y[1] (analytic) = 1.5976438230653614223008180854463
y[1] (numeric) = 1.5976438230653614223008180854465
absolute error = 2e-31
relative error = 1.2518434779553350608002422637744e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.58
y[1] (analytic) = 1.5978236374520610685194690622117
y[1] (numeric) = 1.5978236374520610685194690622119
absolute error = 2e-31
relative error = 1.2517025991612327021512052303647e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.581
y[1] (analytic) = 1.5980042205439546713779467267605
y[1] (numeric) = 1.5980042205439546713779467267606
absolute error = 1e-31
relative error = 6.2578057500974792980576110309292e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.582
y[1] (analytic) = 1.5981855736187094374126856218763
y[1] (numeric) = 1.5981855736187094374126856218765
absolute error = 2e-31
relative error = 1.2514191299271196550560522831892e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.583
y[1] (analytic) = 1.5983676979509126427421112632968
y[1] (numeric) = 1.5983676979509126427421112632969
absolute error = 1e-31
relative error = 6.2563826914294343380281876243744e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.584
y[1] (analytic) = 1.5985505948120665347192351154853
y[1] (numeric) = 1.5985505948120665347192351154855
absolute error = 2e-31
relative error = 1.2511333745023752786496246959588e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.585
y[1] (analytic) = 1.59873426547058324592436051569
y[1] (numeric) = 1.5987342654705832459243605156902
absolute error = 2e-31
relative error = 1.2509896379879649577272823087663e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.586
y[1] (analytic) = 1.5989187111917797205182435686808
y[1] (numeric) = 1.598918711191779720518243568681
absolute error = 2e-31
relative error = 1.2508453281588454890213277076720e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1007.1MB, alloc=4.5MB, time=44.71
TOP MAIN SOLVE Loop
x[1] = 3.587
y[1] (analytic) = 1.5991039332378726529760035927594
y[1] (numeric) = 1.5991039332378726529760035927596
absolute error = 2e-31
relative error = 1.2507004444360231382182063612893e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.588
y[1] (analytic) = 1.59928993286797343922202817465
y[1] (numeric) = 1.5992899328679734392220281746503
absolute error = 3e-31
relative error = 1.8758324793679919392368061431860e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.589
y[1] (analytic) = 1.5994767113380831401860682869202
y[1] (numeric) = 1.5994767113380831401860682869204
absolute error = 2e-31
relative error = 1.2504089530174208423639226311152e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.59
y[1] (analytic) = 1.5996642699010874578006692368342
y[1] (numeric) = 1.5996642699010874578006692368344
absolute error = 2e-31
relative error = 1.2502623441878004982131094419528e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.591
y[1] (analytic) = 1.5998526098067517234600334502187
y[1] (numeric) = 1.599852609806751723460033450219
absolute error = 3e-31
relative error = 1.8751727387952155792569568528884e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.592
y[1] (analytic) = 1.6000417323017158989603612482063
y[1] (numeric) = 1.6000417323017158989603612482065
absolute error = 2e-31
relative error = 1.2499673974896455781912495696106e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.593
y[1] (analytic) = 1.6002316386294895899416658488277
y[1] (numeric) = 1.6002316386294895899416658488279
absolute error = 2e-31
relative error = 1.2498190585163595630354972048551e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.594
y[1] (analytic) = 1.6004223300304470718510088195458
y[1] (numeric) = 1.6004223300304470718510088195461
absolute error = 3e-31
relative error = 1.8745052125978064834342470236274e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.595
y[1] (analytic) = 1.6006138077418223284470521211562
y[1] (numeric) = 1.6006138077418223284470521211565
absolute error = 3e-31
relative error = 1.8742809698939555172469324587262e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.596
y[1] (analytic) = 1.6008060729977041028657727182307
y[1] (numeric) = 1.600806072997704102865772718231
absolute error = 3e-31
relative error = 1.8740558588599898692886446202154e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.597
y[1] (analytic) = 1.6009991270290309612671354866478
y[1] (numeric) = 1.6009991270290309612671354866481
absolute error = 3e-31
relative error = 1.8738298787002404888695808334037e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.598
y[1] (analytic) = 1.601192971063586369082469824936
y[1] (numeric) = 1.6011929710635863690824698249363
absolute error = 3e-31
relative error = 1.8736030286263755939931177755447e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.599
y[1] (analytic) = 1.6013876063259937798822449733583
y[1] (numeric) = 1.6013876063259937798822449733586
absolute error = 3e-31
relative error = 1.8733753078574103203428305214116e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1010.9MB, alloc=4.5MB, time=44.88
x[1] = 3.6
y[1] (analytic) = 1.6015830340377117368838885630891
y[1] (numeric) = 1.6015830340377117368838885630894
absolute error = 3e-31
relative error = 1.8731467156197162762374949237077e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.601
y[1] (analytic) = 1.6017792554170289871192423576774
y[1] (numeric) = 1.6017792554170289871192423576777
absolute error = 3e-31
relative error = 1.8729172511470310032177299011836e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.602
y[1] (analytic) = 1.6019762716790596082811985104594
y[1] (numeric) = 1.6019762716790596082811985104596
absolute error = 2e-31
relative error = 1.2484579424536448946202130268001e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.603
y[1] (analytic) = 1.602174084035738148269008944877
y[1] (numeric) = 1.6021740840357381482690089448772
absolute error = 2e-31
relative error = 1.2483038016456818019857691641660e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.604
y[1] (analytic) = 1.6023726936958147774517096699857
y[1] (numeric) = 1.6023726936958147774517096699859
absolute error = 2e-31
relative error = 1.2481490778447254949400936159525e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.605
y[1] (analytic) = 1.6025721018648504536690509709892
y[1] (numeric) = 1.6025721018648504536690509709894
absolute error = 2e-31
relative error = 1.2479937705596386276759144862692e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.606
y[1] (analytic) = 1.6027723097452120999892734646345
y[1] (numeric) = 1.6027723097452120999892734646347
absolute error = 2e-31
relative error = 1.2478378793042250604028478264702e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.607
y[1] (analytic) = 1.6029733185360677952430189819332
y[1] (numeric) = 1.6029733185360677952430189819333
absolute error = 1e-31
relative error = 6.2384070179861789215630427621667e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.608
y[1] (analytic) = 1.6031751294333819773526141361523
y[1] (numeric) = 1.6031751294333819773526141361524
absolute error = 1e-31
relative error = 6.2376217148118739105372101296885e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.609
y[1] (analytic) = 1.6033777436299106594759132525464
y[1] (numeric) = 1.6033777436299106594759132525465
absolute error = 1e-31
relative error = 6.2368334846415241194027223402194e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.61
y[1] (analytic) = 1.6035811623151966589838360780787
y[1] (numeric) = 1.6035811623151966589838360780787
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.611
y[1] (analytic) = 1.6037853866755648392906843546204
y[1] (numeric) = 1.6037853866755648392906843546204
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.612
y[1] (analytic) = 1.6039904178941173645562699280177
y[1] (numeric) = 1.6039904178941173645562699280178
absolute error = 1e-31
relative error = 6.2344512089598531034055206803133e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1014.7MB, alloc=4.5MB, time=45.04
x[1] = 3.613
y[1] (analytic) = 1.6041962571507289672788355781862
y[1] (numeric) = 1.6041962571507289672788355781863
absolute error = 1e-31
relative error = 6.2336512477353375255085311768748e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.614
y[1] (analytic) = 1.6044029056220422287976981922397
y[1] (numeric) = 1.6044029056220422287976981922398
absolute error = 1e-31
relative error = 6.2328483481042469951069945009320e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.615
y[1] (analytic) = 1.6046103644814628727244922637888
y[1] (numeric) = 1.604610364481462872724492263789
absolute error = 2e-31
relative error = 1.2464085015718498638869487778472e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.616
y[1] (analytic) = 1.6048186348991550713218399871595
y[1] (numeric) = 1.6048186348991550713218399871597
absolute error = 2e-31
relative error = 1.2462467449635999921643752051755e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.617
y[1] (analytic) = 1.605027718042036764848222425592
y[1] (numeric) = 1.6050277180420367648482224255922
absolute error = 2e-31
relative error = 1.2460843993646336786333744875448e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.618
y[1] (analytic) = 1.6052376150737749938877743676968
y[1] (numeric) = 1.6052376150737749938877743676969
absolute error = 1e-31
relative error = 6.2296073217424641260448007008850e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.619
y[1] (analytic) = 1.605448327154781244683673546762
y[1] (numeric) = 1.6054483271547812446836735467621
absolute error = 1e-31
relative error = 6.2287896974686623954811085233442e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.62
y[1] (analytic) = 1.6056598554422068074937428831517
y[1] (numeric) = 1.6056598554422068074937428831518
absolute error = 1e-31
relative error = 6.2279691219196295204293511396980e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.621
y[1] (analytic) = 1.6058722010899381479868323211954
y[1] (numeric) = 1.6058722010899381479868323211955
absolute error = 1e-31
relative error = 6.2271455930383479240000657734621e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.622
y[1] (analytic) = 1.6060853652485922916984946688704
y[1] (numeric) = 1.6060853652485922916984946688705
absolute error = 1e-31
relative error = 6.2263191087929408184969258424970e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.623
y[1] (analytic) = 1.6062993490655122215644176114205
y[1] (numeric) = 1.6062993490655122215644176114206
absolute error = 1e-31
relative error = 6.2254896671766965533252717526176e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.624
y[1] (analytic) = 1.6065141536847622885500217590449
y[1] (numeric) = 1.606514153684762288550021759045
absolute error = 1e-31
relative error = 6.2246572662080926248471241890655e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.625
y[1] (analytic) = 1.606729780247123635394582204147
y[1] (numeric) = 1.6067297802471236353945822041471
absolute error = 1e-31
relative error = 6.2238219039308193472658394178167e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1018.5MB, alloc=4.5MB, time=45.21
x[1] = 3.626
y[1] (analytic) = 1.606946229890089633488178605555
y[1] (numeric) = 1.6069462298900896334881786055551
absolute error = 1e-31
relative error = 6.2229835784138031836326638882479e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.627
y[1] (analytic) = 1.6071635037478613328997262858296
y[1] (numeric) = 1.6071635037478613328997262858297
absolute error = 1e-31
relative error = 6.2221422877512297360765870219479e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.628
y[1] (analytic) = 1.6073816029513429255742882234676
y[1] (numeric) = 1.6073816029513429255742882234677
absolute error = 1e-31
relative error = 6.2212980300625663943680761129105e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.629
y[1] (analytic) = 1.6076005286281372217178151447051
y[1] (numeric) = 1.6076005286281372217178151447052
absolute error = 1e-31
relative error = 6.2204508034925846419365053824284e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.63
y[1] (analytic) = 1.6078202819025411393874081699275
y[1] (numeric) = 1.6078202819025411393874081699276
absolute error = 1e-31
relative error = 6.2196006062113820184703620551937e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.631
y[1] (analytic) = 1.6080408638955412073051456476229
y[1] (numeric) = 1.608040863895541207305145647623
absolute error = 1e-31
relative error = 6.2187474364144037382386254758904e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.632
y[1] (analytic) = 1.6082622757248090809134629145741
y[1] (numeric) = 1.6082622757248090809134629145742
absolute error = 1e-31
relative error = 6.2178912923224639632810703894993e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.633
y[1] (analytic) = 1.6084845185046970716900207547924
y[1] (numeric) = 1.6084845185046970716900207547926
absolute error = 2e-31
relative error = 1.2434064344363533461249284364490e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.634
y[1] (analytic) = 1.6087075933462336897399452917589
y[1] (numeric) = 1.608707593346233689739945291759
absolute error = 1e-31
relative error = 6.2161700742639265326924897393312e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.635
y[1] (analytic) = 1.6089315013571191996832689390683
y[1] (numeric) = 1.6089315013571191996832689390685
absolute error = 2e-31
relative error = 1.2430609993731977100163440466391e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.636
y[1] (analytic) = 1.6091562436417211898553488537897
y[1] (numeric) = 1.6091562436417211898553488537898
absolute error = 1e-31
relative error = 6.2144369383104485358954592219108e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.637
y[1] (analytic) = 1.6093818213010701548379860849582
y[1] (numeric) = 1.6093818213010701548379860849583
absolute error = 1e-31
relative error = 6.2135658969452723508243585188070e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.638
y[1] (analytic) = 1.6096082354328550913389152868354
y[1] (numeric) = 1.6096082354328550913389152868355
absolute error = 1e-31
relative error = 6.2126918711439151481822929956050e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.639
y[1] (analytic) = 1.609835487131419107437281473104
y[1] (numeric) = 1.6098354871314191074372814731041
absolute error = 1e-31
relative error = 6.2118148593053402081106254040433e-30 %
Correct digits = 31
h = 0.001
memory used=1022.3MB, alloc=4.5MB, time=45.38
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.64
y[1] (analytic) = 1.6100635774877550452126668242376
y[1] (numeric) = 1.6100635774877550452126668242376
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.641
y[1] (analytic) = 1.6102925075895011167751770261004
y[1] (numeric) = 1.6102925075895011167751770261004
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.642
y[1] (analytic) = 1.6105222785209365537140430136145
y[1] (numeric) = 1.6105222785209365537140430136145
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.643
y[1] (analytic) = 1.6107528913629772699821403192851
y[1] (numeric) = 1.6107528913629772699821403192851
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.644
y[1] (analytic) = 1.6109843471931715382337744827248
y[1] (numeric) = 1.6109843471931715382337744827248
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.645
y[1] (analytic) = 1.6112166470856956796330271642703
y[1] (numeric) = 1.6112166470856956796330271642703
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.646
y[1] (analytic) = 1.6114497921113497671499037235596
y[1] (numeric) = 1.6114497921113497671499037235596
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.647
y[1] (analytic) = 1.6116837833375533423614690727506
y[1] (numeric) = 1.6116837833375533423614690727507
absolute error = 1e-31
relative error = 6.2046910835644896393565072665566e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.648
y[1] (analytic) = 1.6119186218283411457751045941277
y[1] (numeric) = 1.6119186218283411457751045941278
absolute error = 1e-31
relative error = 6.2037871295620127096687687798940e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.649
y[1] (analytic) = 1.6121543086443588606909648233738
y[1] (numeric) = 1.6121543086443588606909648233739
absolute error = 1e-31
relative error = 6.2028801749187889758048871203328e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.65
y[1] (analytic) = 1.6123908448428588706206584430083
y[1] (numeric) = 1.6123908448428588706206584430084
absolute error = 1e-31
relative error = 6.2019702183155130755428850391029e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.651
y[1] (analytic) = 1.612628231477696030279123905609
y[1] (numeric) = 1.6126282314776960302791239056092
absolute error = 2e-31
relative error = 1.2402114516917172292887617391023e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.652
y[1] (analytic) = 1.6128664695993234501666157136776
y[1] (numeric) = 1.6128664695993234501666157136778
absolute error = 2e-31
relative error = 1.2400282588160260064419990029605e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1026.1MB, alloc=4.6MB, time=45.54
x[1] = 3.653
y[1] (analytic) = 1.6131055602547882947576630225817
y[1] (numeric) = 1.6131055602547882947576630225818
absolute error = 1e-31
relative error = 6.1992223239380011282461885551701e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.654
y[1] (analytic) = 1.6133455044877275943138078051382
y[1] (numeric) = 1.6133455044877275943138078051384
absolute error = 2e-31
relative error = 1.2396600693631607731573766349235e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.655
y[1] (analytic) = 1.6135863033383640703368753213007
y[1] (numeric) = 1.6135863033383640703368753213008
absolute error = 1e-31
relative error = 6.1973753615229038339634728818019e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.656
y[1] (analytic) = 1.6138279578435019746794750743013
y[1] (numeric) = 1.6138279578435019746794750743014
absolute error = 1e-31
relative error = 6.1964473668944405391950373930340e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.657
y[1] (analytic) = 1.6140704690365229423293758056983
y[1] (numeric) = 1.6140704690365229423293758056984
absolute error = 1e-31
relative error = 6.1955163617913398012968606558113e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.658
y[1] (analytic) = 1.6143138379473818578843433862968
y[1] (numeric) = 1.614313837947381857884343386297
absolute error = 2e-31
relative error = 1.2389164690200651571422168981963e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.659
y[1] (analytic) = 1.6145580656026027357339756980822
y[1] (numeric) = 1.6145580656026027357339756980824
absolute error = 2e-31
relative error = 1.2387290631467865342548468203520e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.66
y[1] (analytic) = 1.6148031530252746139650137743314
y[1] (numeric) = 1.6148031530252746139650137743316
absolute error = 2e-31
relative error = 1.2385410545261031905893434094423e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.661
y[1] (analytic) = 1.6150491012350474620065535711848
y[1] (numeric) = 1.615049101235047462006553571185
absolute error = 2e-31
relative error = 1.2383524429508526757879583853800e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.662
y[1] (analytic) = 1.6152959112481281020315277843733
y[1] (numeric) = 1.6152959112481281020315277843735
absolute error = 2e-31
relative error = 1.2381632282190411043371854033268e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.663
y[1] (analytic) = 1.6155435840772761441307720997369
y[1] (numeric) = 1.6155435840772761441307720997371
absolute error = 2e-31
relative error = 1.2379734101338451964217843949334e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.664
y[1] (analytic) = 1.6157921207317999352759351758482
y[1] (numeric) = 1.6157921207317999352759351758484
absolute error = 2e-31
relative error = 1.2377829885036142453321294087053e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.665
y[1] (analytic) = 1.6160415222175525220874365017014
y[1] (numeric) = 1.6160415222175525220874365017016
absolute error = 2e-31
relative error = 1.2375919631418720113203526885277e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1030.0MB, alloc=4.6MB, time=45.71
x[1] = 3.666
y[1] (analytic) = 1.6162917895369276274236210522506
y[1] (numeric) = 1.6162917895369276274236210522508
absolute error = 2e-31
relative error = 1.2374003338673185418028650834213e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.667
y[1] (analytic) = 1.616542923688855640807204379816
y[1] (numeric) = 1.6165429236888556408072043798162
absolute error = 2e-31
relative error = 1.2372081005038319178089456424132e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.668
y[1] (analytic) = 1.6167949256687996227050464302297
y[1] (numeric) = 1.6167949256687996227050464302299
absolute error = 2e-31
relative error = 1.2370152628804699265772113223879e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.669
y[1] (analytic) = 1.6170477964687513226772369592998
y[1] (numeric) = 1.6170477964687513226772369593
absolute error = 2e-31
relative error = 1.2368218208314716602039010298607e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.67
y[1] (analytic) = 1.617301537077227211411419947941
y[1] (numeric) = 1.6173015370772272114114199479412
absolute error = 2e-31
relative error = 1.2366277741962590402490366354025e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.671
y[1] (analytic) = 1.6175561484792645266582288733839
y[1] (numeric) = 1.6175561484792645266582288733841
absolute error = 2e-31
relative error = 1.2364331228194382682086570470954e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.672
y[1] (analytic) = 1.6178116316564173330836490894497
y[1] (numeric) = 1.6178116316564173330836490894499
absolute error = 2e-31
relative error = 1.2362378665508012017634598117468e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.673
y[1] (analytic) = 1.618067987586752596054067901187
y[1] (numeric) = 1.6180679875867525960540679011872
absolute error = 2e-31
relative error = 1.2360420052453266567163279340630e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.674
y[1] (analytic) = 1.618325217244846269369717188436
y[1] (numeric) = 1.6183252172448462693697171884362
absolute error = 2e-31
relative error = 1.2358455387631816345333675686538e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.675
y[1] (analytic) = 1.6185833216017793969621576393329
y[1] (numeric) = 1.6185833216017793969621576393331
absolute error = 2e-31
relative error = 1.2356484669697224754052348513222e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.676
y[1] (analytic) = 1.6188423016251342285713977986194
y[1] (numeric) = 1.6188423016251342285713977986196
absolute error = 2e-31
relative error = 1.2354507897354959367476872979406e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.677
y[1] (analytic) = 1.6191021582789903494181852171032
y[1] (numeric) = 1.6191021582789903494181852171034
absolute error = 2e-31
relative error = 1.2352525069362401970624568143422e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.678
y[1] (analytic) = 1.619362892523920823886951007943
y[1] (numeric) = 1.6193628925239208238869510079432
absolute error = 2e-31
relative error = 1.2350536184528857850817073317279e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1033.8MB, alloc=4.6MB, time=45.87
x[1] = 3.679
y[1] (analytic) = 1.6196245053169883532348330728396
y[1] (numeric) = 1.6196245053169883532348330728398
absolute error = 2e-31
relative error = 1.2348541241715564341215103114369e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.68
y[1] (analytic) = 1.6198869976117414473421471569153
y[1] (numeric) = 1.6198869976117414473421471569155
absolute error = 2e-31
relative error = 1.2346540239835698615719457525693e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.681
y[1] (analytic) = 1.6201503703582106105196187252951
y[1] (numeric) = 1.6201503703582106105196187252952
absolute error = 1e-31
relative error = 6.1722665889271923672680739377381e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.682
y[1] (analytic) = 1.6204146245029045413876324273744
y[1] (numeric) = 1.6204146245029045413876324273745
absolute error = 1e-31
relative error = 6.1712600273943499698626618282330e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.683
y[1] (analytic) = 1.6206797609888063468426996267109
y[1] (numeric) = 1.620679760988806346842699626711
absolute error = 1e-31
relative error = 6.1702504348538401000377740192481e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.684
y[1] (analytic) = 1.6209457807553697701262881256204
y[1] (numeric) = 1.6209457807553697701262881256205
absolute error = 1e-31
relative error = 6.1692378108661625023334351443816e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.685
y[1] (analytic) = 1.6212126847385154330111018041296
y[1] (numeric) = 1.6212126847385154330111018041297
absolute error = 1e-31
relative error = 6.1682221550178007022540402215816e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.686
y[1] (analytic) = 1.6214804738706270921198414231565
y[1] (numeric) = 1.6214804738706270921198414231566
absolute error = 1e-31
relative error = 6.1672034669212236508277521633939e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.687
y[1] (analytic) = 1.6217491490805479093914213118839
y[1] (numeric) = 1.621749149080547909391421311884
absolute error = 1e-31
relative error = 6.1661817462148869926213522185453e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.688
y[1] (analytic) = 1.6220187112935767367095600694862
y[1] (numeric) = 1.6220187112935767367095600694863
absolute error = 1e-31
relative error = 6.1651569925632339569362466357404e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.689
y[1] (analytic) = 1.6222891614314644147086067618928
y[1] (numeric) = 1.6222891614314644147086067618929
absolute error = 1e-31
relative error = 6.1641292056566958719223696977752e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.69
y[1] (analytic) = 1.6225605004124100857714073853491
y[1] (numeric) = 1.6225605004124100857714073853492
absolute error = 1e-31
relative error = 6.1630983852116923013577759498138e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.691
y[1] (analytic) = 1.6228327291510575212339596003922
y[1] (numeric) = 1.6228327291510575212339596003924
absolute error = 2e-31
relative error = 1.2324129061941261607705564868118e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.692
y[1] (analytic) = 1.6231058485584914628115469127265
y[1] (numeric) = 1.6231058485584914628115469127267
memory used=1037.6MB, alloc=4.6MB, time=46.04
absolute error = 2e-31
relative error = 1.2322055285403812628497209073836e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.693
y[1] (analytic) = 1.6233798595422339782609865915827
y[1] (numeric) = 1.6233798595422339782609865915829
absolute error = 2e-31
relative error = 1.2319975440399800293983052291654e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.694
y[1] (analytic) = 1.6236547630062408312935686717117
y[1] (numeric) = 1.6236547630062408312935686717119
absolute error = 2e-31
relative error = 1.2317889526569957242549511383145e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.695
y[1] (analytic) = 1.623930559850897865753206382415
y[1] (numeric) = 1.6239305598508978657532063824151
absolute error = 1e-31
relative error = 6.1578987718034913077512438076489e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.696
y[1] (analytic) = 1.6242072509730174040742612861901
y[1] (numeric) = 1.6242072509730174040742612861902
absolute error = 1e-31
relative error = 6.1568497456277688966318752590827e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.697
y[1] (analytic) = 1.6244848372658346600334492908885
y[1] (numeric) = 1.6244848372658346600334492908886
absolute error = 1e-31
relative error = 6.1557976846561206869945969664037e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.698
y[1] (analytic) = 1.6247633196190041658101765229778
y[1] (numeric) = 1.624763319619004165810176522978
absolute error = 2e-31
relative error = 1.2309485177625663394282409724438e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.699
y[1] (analytic) = 1.6250426989185962133695968158025
y[1] (numeric) = 1.6250426989185962133695968158026
absolute error = 1e-31
relative error = 6.1536844580481593958496844531553e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.7
y[1] (analytic) = 1.6253229760470933101826252758664
y[1] (numeric) = 1.6253229760470933101826252758665
absolute error = 1e-31
relative error = 6.1526232923383300543811828030181e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.701
y[1] (analytic) = 1.6256041518833866492970850423591
y[1] (numeric) = 1.6256041518833866492970850423592
absolute error = 1e-31
relative error = 6.1515590916855347191118826869818e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.702
y[1] (analytic) = 1.6258862273027725937741069506311
y[1] (numeric) = 1.6258862273027725937741069506313
absolute error = 2e-31
relative error = 1.2300983712235849609342504747707e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.703
y[1] (analytic) = 1.6261692031769491755038443493325
y[1] (numeric) = 1.6261692031769491755038443493326
absolute error = 1e-31
relative error = 6.1494215856896073074793563553021e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.704
y[1] (analytic) = 1.6264530803740126084145078036865
y[1] (numeric) = 1.6264530803740126084145078036866
absolute error = 1e-31
relative error = 6.1483482804806396395871328380700e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.705
y[1] (analytic) = 1.6267378597584538160886668441122
y[1] (numeric) = 1.6267378597584538160886668441123
absolute error = 1e-31
relative error = 6.1472719405970240827347724273587e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=1041.4MB, alloc=4.6MB, time=46.20
TOP MAIN SOLVE Loop
x[1] = 3.706
y[1] (analytic) = 1.627023542191154973800708290357
y[1] (numeric) = 1.6270235421911549738007082903571
absolute error = 1e-31
relative error = 6.1461925661707018625545686358660e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.707
y[1] (analytic) = 1.6273101285293860649892829966968
y[1] (numeric) = 1.6273101285293860649892829966969
absolute error = 1e-31
relative error = 6.1451101573595468428558541316547e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.708
y[1] (analytic) = 1.6275976196268014521785151238249
y[1] (numeric) = 1.627597619626801452178515123825
absolute error = 1e-31
relative error = 6.1440247143473588399408864667890e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.709
y[1] (analytic) = 1.6278860163334364623616902480201
y[1] (numeric) = 1.6278860163334364623616902480202
absolute error = 1e-31
relative error = 6.1429362373438565569118028844664e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.71
y[1] (analytic) = 1.6281753194957039868610807682895
y[1] (numeric) = 1.6281753194957039868610807682896
absolute error = 1e-31
relative error = 6.1418447265846701379400251615321e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.711
y[1] (analytic) = 1.6284655299563910956775091676498
y[1] (numeric) = 1.6284655299563910956775091676499
absolute error = 1e-31
relative error = 6.1407501823313333424807617816012e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.712
y[1] (analytic) = 1.6287566485546556663431917257814
y[1] (numeric) = 1.6287566485546556663431917257815
absolute error = 1e-31
relative error = 6.1396526048712753394265255267139e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.713
y[1] (analytic) = 1.6290486761260230272913472671837
y[1] (numeric) = 1.6290486761260230272913472671837
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.714
y[1] (analytic) = 1.6293416135023826157559974619225
y[1] (numeric) = 1.6293416135023826157559974619226
absolute error = 1e-31
relative error = 6.1374483516101375378367410952108e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.715
y[1] (analytic) = 1.6296354615119846502153270753124
y[1] (numeric) = 1.6296354615119846502153270753124
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.716
y[1] (analytic) = 1.6299302209794368173919143886541
y[1] (numeric) = 1.6299302209794368173919143886541
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.717
y[1] (analytic) = 1.6302258927257009738230837856912
y[1] (numeric) = 1.6302258927257009738230837856912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.718
y[1] (analytic) = 1.630522477568089862014574218975
y[1] (numeric) = 1.630522477568089862014574218975
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1045.2MB, alloc=4.6MB, time=46.37
x[1] = 3.719
y[1] (analytic) = 1.6308199763202638411906589370867
y[1] (numeric) = 1.6308199763202638411906589370867
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.72
y[1] (analytic) = 1.631118389792227632653793467879
y[1] (numeric) = 1.631118389792227632653793467879
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.721
y[1] (analytic) = 1.6314177187903270797668104148048
y[1] (numeric) = 1.6314177187903270797668104148048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.722
y[1] (analytic) = 1.6317179641172459225706211332348
y[1] (numeric) = 1.6317179641172459225706211332347
absolute error = 1e-31
relative error = 6.1285100856323336898843388068586e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.723
y[1] (analytic) = 1.6320191265720025870503258116557
y[1] (numeric) = 1.6320191265720025870503258116556
absolute error = 1e-31
relative error = 6.1273791692653994444314590086375e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.724
y[1] (analytic) = 1.6323212069499469890625748890292
y[1] (numeric) = 1.6323212069499469890625748890291
absolute error = 1e-31
relative error = 6.1262452251572303558634971607042e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.725
y[1] (analytic) = 1.6326242060427573529369660946032
y[1] (numeric) = 1.6326242060427573529369660946031
absolute error = 1e-31
relative error = 6.1251082539309763147108141690144e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.726
y[1] (analytic) = 1.6329281246384370447642027003456
y[1] (numeric) = 1.6329281246384370447642027003455
absolute error = 1e-31
relative error = 6.1239682562355278561294483219441e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.727
y[1] (analytic) = 1.6332329635213114203836798291463
y[1] (numeric) = 1.6332329635213114203836798291462
absolute error = 1e-31
relative error = 6.1228252327455022600816851006645e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.728
y[1] (analytic) = 1.6335387234720246880831068642381
y[1] (numeric) = 1.633538723472024688083106864238
absolute error = 1e-31
relative error = 6.1216791841612292728927538560095e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.729
y[1] (analytic) = 1.6338454052675367860227151571651
y[1] (numeric) = 1.633845405267536786022715157165
absolute error = 1e-31
relative error = 6.1205301112087364503693440148564e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.73
y[1] (analytic) = 1.634153009681120274396541333303
y[1] (numeric) = 1.6341530096811202743965413333029
absolute error = 1e-31
relative error = 6.1193780146397341226768943067588e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.731
y[1] (analytic) = 1.6344615374823572423432175456556
y[1] (numeric) = 1.6344615374823572423432175456555
absolute error = 1e-31
relative error = 6.1182228952315999811838637570543e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1049.0MB, alloc=4.6MB, time=46.53
x[1] = 3.732
y[1] (analytic) = 1.6347709894371362296186410296415
y[1] (numeric) = 1.6347709894371362296186410296415
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.733
y[1] (analytic) = 1.6350813663076491630428362640889
y[1] (numeric) = 1.6350813663076491630428362640889
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.734
y[1] (analytic) = 1.6353926688523883077332639469041
y[1] (numeric) = 1.6353926688523883077332639469042
absolute error = 1e-31
relative error = 6.1147394081308597524380221010437e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.735
y[1] (analytic) = 1.6357048978261432331367718481147
y[1] (numeric) = 1.6357048978261432331367718481147
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.736
y[1] (analytic) = 1.6360180539799977938723234084361
y[1] (numeric) = 1.6360180539799977938723234084362
absolute error = 1e-31
relative error = 6.1124019846068651785375260889256e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.737
y[1] (analytic) = 1.6363321380613271253965807084247
y[1] (numeric) = 1.6363321380613271253965807084247
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.738
y[1] (analytic) = 1.6366471508137946545043591418763
y[1] (numeric) = 1.6366471508137946545043591418763
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.739
y[1] (analytic) = 1.6369630929773491246759117876688
y[1] (numeric) = 1.6369630929773491246759117876688
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.74
y[1] (analytic) = 1.6372799652882216362829420869427
y[1] (numeric) = 1.6372799652882216362829420869427
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.741
y[1] (analytic) = 1.6375977684789227016651839976235
y[1] (numeric) = 1.6375977684789227016651839976235
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.742
y[1] (analytic) = 1.6379165032782393150893293160391
y[1] (numeric) = 1.6379165032782393150893293160391
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.743
y[1] (analytic) = 1.6382361704112320376020223260149
y[1] (numeric) = 1.6382361704112320376020223260149
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.744
y[1] (analytic) = 1.638556770599232096788582359583
y[1] (numeric) = 1.638556770599232096788582359583
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.745
y[1] (analytic) = 1.6388783045598385014490552305465
y[1] (numeric) = 1.6388783045598385014490552305465
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1052.8MB, alloc=4.6MB, time=46.70
x[1] = 3.746
y[1] (analytic) = 1.6392007730069151712031348328471
y[1] (numeric) = 1.6392007730069151712031348328471
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.747
y[1] (analytic) = 1.6395241766505880810354364802221
y[1] (numeric) = 1.6395241766505880810354364802221
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.748
y[1] (analytic) = 1.6398485161972424207925438022502
y[1] (numeric) = 1.6398485161972424207925438022502
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.749
y[1] (analytic) = 1.6401737923495197696431912048113
y[1] (numeric) = 1.6401737923495197696431912048113
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.75
y[1] (analytic) = 1.6405000058063152855128840504627
y[1] (numeric) = 1.6405000058063152855128840504627
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.751
y[1] (analytic) = 1.6408271572627749095041988165042
y[1] (numeric) = 1.6408271572627749095041988165042
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.752
y[1] (analytic) = 1.641155247410292585313945545803
y[1] (numeric) = 1.641155247410292585313945545803
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.753
y[1] (analytic) = 1.6414842769365074936583149180228
y[1] (numeric) = 1.6414842769365074936583149180228
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.754
y[1] (analytic) = 1.6418142465253013017170722369791
y[1] (numeric) = 1.6418142465253013017170722369792
absolute error = 1e-31
relative error = 6.0908230155535407270436254553737e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.755
y[1] (analytic) = 1.6421451568567954276078005536801
y[1] (numeric) = 1.6421451568567954276078005536801
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.756
y[1] (analytic) = 1.6424770086073483199011350244302
y[1] (numeric) = 1.6424770086073483199011350244302
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.757
y[1] (analytic) = 1.6428098024495527521878704394347
y[1] (numeric) = 1.6428098024495527521878704394347
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.758
y[1] (analytic) = 1.6431435390522331327087636498654
y[1] (numeric) = 1.6431435390522331327087636498653
absolute error = 1e-31
relative error = 6.0858955790119286764087090121165e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1056.7MB, alloc=4.6MB, time=46.86
x[1] = 3.759
y[1] (analytic) = 1.6434782190804428290577923705918
y[1] (numeric) = 1.6434782190804428290577923705918
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.76
y[1] (analytic) = 1.6438138431954615079695715419762
y[1] (numeric) = 1.6438138431954615079695715419761
absolute error = 1e-31
relative error = 6.0834139105196273392417011550203e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.761
y[1] (analytic) = 1.6441504120547924902015680975177
y[1] (numeric) = 1.6441504120547924902015680975176
absolute error = 1e-31
relative error = 6.0821685939928121593958908592916e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.762
y[1] (analytic) = 1.6444879263121601205216946049627
y[1] (numeric) = 1.6444879263121601205216946049627
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.763
y[1] (analytic) = 1.6448263866175071528118018269979
y[1] (numeric) = 1.6448263866175071528118018269979
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.764
y[1] (analytic) = 1.6451657936169921502975297840699
y[1] (numeric) = 1.6451657936169921502975297840699
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.765
y[1] (analytic) = 1.6455061479529869009149163964616
y[1] (numeric) = 1.6455061479529869009149163964616
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.766
y[1] (analytic) = 1.6458474502640738478241022357434
y[1] (numeric) = 1.6458474502640738478241022357434
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.767
y[1] (analytic) = 1.646189701185043535080409327355
y[1] (numeric) = 1.646189701185043535080409327355
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.768
y[1] (analytic) = 1.6465329013468920684730113165964
y[1] (numeric) = 1.6465329013468920684730113165963
absolute error = 1e-31
relative error = 6.0733678578908620673707005460632e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.769
y[1] (analytic) = 1.6468770513768185915413516399622
y[1] (numeric) = 1.6468770513768185915413516399621
absolute error = 1e-31
relative error = 6.0720986983453449803335880504295e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.77
y[1] (analytic) = 1.6472221518982227767794056327813
y[1] (numeric) = 1.6472221518982227767794056327812
absolute error = 1e-31
relative error = 6.0708265660926297878919758270835e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.771
y[1] (analytic) = 1.6475682035307023320378217527678
y[1] (numeric) = 1.6475682035307023320378217527677
absolute error = 1e-31
relative error = 6.0695514629198478675695006313214e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.772
y[1] (analytic) = 1.6479152068900505221339163075943
y[1] (numeric) = 1.6479152068900505221339163075942
absolute error = 1e-31
relative error = 6.0682733906388446179618210697906e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=1060.5MB, alloc=4.6MB, time=47.03
TOP MAIN SOLVE Loop
x[1] = 3.773
y[1] (analytic) = 1.6482631625882537056794352432036
y[1] (numeric) = 1.6482631625882537056794352432035
absolute error = 1e-31
relative error = 6.0669923510861485037210240975654e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.774
y[1] (analytic) = 1.6486120712334888871359356785274
y[1] (numeric) = 1.6486120712334888871359356785273
absolute error = 1e-31
relative error = 6.0657083461229397419428441481466e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.775
y[1] (analytic) = 1.6489619334301212841075789618227
y[1] (numeric) = 1.6489619334301212841075789618226
absolute error = 1e-31
relative error = 6.0644213776350186306466862187782e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.776
y[1] (analytic) = 1.6493127497787019098810660742088
y[1] (numeric) = 1.6493127497787019098810660742087
absolute error = 1e-31
relative error = 6.0631314475327735200489112923141e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.777
y[1] (analytic) = 1.6496645208759651712223852174411
y[1] (numeric) = 1.649664520875965171222385217441
absolute error = 1e-31
relative error = 6.0618385577511484273402804387405e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.778
y[1] (analytic) = 1.6500172473148264814399803957278
y[1] (numeric) = 1.6500172473148264814399803957277
absolute error = 1e-31
relative error = 6.0605427102496102956888623231500e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.779
y[1] (analytic) = 1.650370929684379888723888735733
y[1] (numeric) = 1.6503709296843798887238887357329
absolute error = 1e-31
relative error = 6.0592439070121158982000871730103e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.78
y[1] (analytic) = 1.6507255685698957197703331850545
y[1] (numeric) = 1.6507255685698957197703331850544
absolute error = 1e-31
relative error = 6.0579421500470783875759780484247e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.781
y[1] (analytic) = 1.6510811645528182387011960876632
y[1] (numeric) = 1.6510811645528182387011960876631
absolute error = 1e-31
relative error = 6.0566374413873334922259070390643e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.782
y[1] (analytic) = 1.6514377182107633212877379552895
y[1] (numeric) = 1.6514377182107633212877379552894
absolute error = 1e-31
relative error = 6.0553297830901053595915093067910e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.783
y[1] (analytic) = 1.6517952301175161444878645367795
y[1] (numeric) = 1.6517952301175161444878645367794
absolute error = 1e-31
relative error = 6.0540191772369720474586412319340e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.784
y[1] (analytic) = 1.6521537008430288913061840332726
y[1] (numeric) = 1.6521537008430288913061840332725
absolute error = 1e-31
relative error = 6.0527056259338306640394898338773e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.785
y[1] (analytic) = 1.6525131309534184709860350159114
y[1] (numeric) = 1.6525131309534184709860350159112
absolute error = 2e-31
relative error = 1.2102778262621724315236257310615e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1064.3MB, alloc=4.6MB, time=47.20
x[1] = 3.786
y[1] (analytic) = 1.6528735210109642545426042749322
y[1] (numeric) = 1.652873521010964254542604274932
absolute error = 2e-31
relative error = 1.2100139391044991513125939916830e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.787
y[1] (analytic) = 1.6532348715741058256461924646463
y[1] (numeric) = 1.6532348715741058256461924646461
absolute error = 2e-31
relative error = 1.2097494641494746121039367833769e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.788
y[1] (analytic) = 1.6535971831974407468646240082495
y[1] (numeric) = 1.6535971831974407468646240082493
absolute error = 2e-31
relative error = 1.2094844018376623567216484076223e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.789
y[1] (analytic) = 1.6539604564317223412737362898425
y[1] (numeric) = 1.6539604564317223412737362898422
absolute error = 3e-31
relative error = 1.8138281289216807451373381569116e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.79
y[1] (analytic) = 1.6543246918238574894448216887474
y[1] (numeric) = 1.6543246918238574894448216887471
absolute error = 3e-31
relative error = 1.8134287753950914837769307627144e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.791
y[1] (analytic) = 1.6546898899169044418178345034155
y[1] (numeric) = 1.6546898899169044418178345034152
absolute error = 3e-31
relative error = 1.8130285428592632658008738068572e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.792
y[1] (analytic) = 1.6550560512500706464691132691805
y[1] (numeric) = 1.6550560512500706464691132691801
absolute error = 4e-31
relative error = 2.4168365760052558576628940170161e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.793
y[1] (analytic) = 1.6554231763587105922823073960724
y[1] (numeric) = 1.6554231763587105922823073960721
absolute error = 3e-31
relative error = 1.8122254435260700601691323640290e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.794
y[1] (analytic) = 1.6557912657743236675311354401106
y[1] (numeric) = 1.6557912657743236675311354401103
absolute error = 3e-31
relative error = 1.8118225781297758545590798100825e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.795
y[1] (analytic) = 1.6561603200245520338825406741853
y[1] (numeric) = 1.656160320024552033882540674185
absolute error = 3e-31
relative error = 1.8114188365263611576867947025000e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.796
y[1] (analytic) = 1.6565303396331785158287479430735
y[1] (numeric) = 1.6565303396331785158287479430732
absolute error = 3e-31
relative error = 1.8110142194342899411236426776768e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.797
y[1] (analytic) = 1.6569013251201245055566640715455
y[1] (numeric) = 1.6569013251201245055566640715452
absolute error = 3e-31
relative error = 1.8106087275791764617262109757547e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.798
y[1] (analytic) = 1.6572732770014478832630023451682
y[1] (numeric) = 1.6572732770014478832630023451679
absolute error = 3e-31
relative error = 1.8102023616937733548562228267916e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1068.1MB, alloc=4.6MB, time=47.36
x[1] = 3.799
y[1] (analytic) = 1.6576461957893409529234498005339
y[1] (numeric) = 1.6576461957893409529234498005336
absolute error = 3e-31
relative error = 1.8097951225179596261163934121221e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.8
y[1] (analytic) = 1.6580200819921283935241342454928
y[1] (numeric) = 1.6580200819921283935241342454925
absolute error = 3e-31
relative error = 1.8093870107987285418847843915753e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.801
y[1] (analytic) = 1.6583949361142652257635860807903
y[1] (numeric) = 1.65839493611426522576358608079
absolute error = 3e-31
relative error = 1.8089780272901754189330939463095e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.802
y[1] (analytic) = 1.6587707586563347942333281125498
y[1] (numeric) = 1.6587707586563347942333281125495
absolute error = 3e-31
relative error = 1.8085681727534853134171870938360e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.803
y[1] (analytic) = 1.6591475501150467650851646305521
y[1] (numeric) = 1.6591475501150467650851646305518
absolute error = 3e-31
relative error = 1.8081574479569206095310265584736e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.804
y[1] (analytic) = 1.6595253109832351391931790804847
y[1] (numeric) = 1.6595253109832351391931790804844
absolute error = 3e-31
relative error = 1.8077458536758085081180075999082e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.805
y[1] (analytic) = 1.6599040417498562808183876795216
y[1] (numeric) = 1.6599040417498562808183876795213
absolute error = 3e-31
relative error = 1.8073333906925284155365307884088e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.806
y[1] (analytic) = 1.6602837428999869617839343139906
y[1] (numeric) = 1.6602837428999869617839343139903
absolute error = 3e-31
relative error = 1.8069200597964992330794646420561e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.807
y[1] (analytic) = 1.6606644149148224211686500157404
y[1] (numeric) = 1.6606644149148224211686500157401
absolute error = 3e-31
relative error = 1.8065058617841665472499551843546e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.808
y[1] (analytic) = 1.6610460582716744405267382403832
y[1] (numeric) = 1.6610460582716744405267382403829
absolute error = 3e-31
relative error = 1.8060907974589897211988317159004e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.809
y[1] (analytic) = 1.6614286734439694346412850661047
y[1] (numeric) = 1.6614286734439694346412850661044
absolute error = 3e-31
relative error = 1.8056748676314288876316372982774e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.81
y[1] (analytic) = 1.6618122609012465578192312964555
y[1] (numeric) = 1.6618122609012465578192312964552
absolute error = 3e-31
relative error = 1.8052580731189318434960784997780e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.811
y[1] (analytic) = 1.6621968211091558257353812847099
y[1] (numeric) = 1.6621968211091558257353812847096
absolute error = 3e-31
relative error = 1.8048404147459208467634417294404e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1071.9MB, alloc=4.6MB, time=47.52
x[1] = 3.812
y[1] (analytic) = 1.6625823545294562528329611012534
y[1] (numeric) = 1.6625823545294562528329611012531
absolute error = 3e-31
relative error = 1.8044218933437793156202628676710e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.813
y[1] (analytic) = 1.6629688616200140052881764392822
y[1] (numeric) = 1.6629688616200140052881764392819
absolute error = 3e-31
relative error = 1.8040025097508384303892627686131e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.814
y[1] (analytic) = 1.6633563428348005695461583981208
y[1] (numeric) = 1.6633563428348005695461583981204
absolute error = 4e-31
relative error = 2.4047763530831515180016979233788e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.815
y[1] (analytic) = 1.6637447986238909364356229979317
y[1] (numeric) = 1.6637447986238909364356229979313
absolute error = 4e-31
relative error = 2.4042148791740547504567709437157e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.816
y[1] (analytic) = 1.6641342294334618008695079647597
y[1] (numeric) = 1.6641342294334618008695079647593
absolute error = 4e-31
relative error = 2.4036522590859517517396982855942e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.817
y[1] (analytic) = 1.664524635705789777138787980961
y[1] (numeric) = 1.6645246357057897771387879809606
absolute error = 4e-31
relative error = 2.4030884939734909404892431556301e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.818
y[1] (analytic) = 1.6649160178792496298066072233785
y[1] (numeric) = 1.6649160178792496298066072233781
absolute error = 4e-31
relative error = 2.4025235850004931673900002727625e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.819
y[1] (analytic) = 1.6653083763883125202098056103733
y[1] (numeric) = 1.6653083763883125202098056103729
absolute error = 4e-31
relative error = 2.4019575333399330820346768026528e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.82
y[1] (analytic) = 1.6657017116635442685748527492694
y[1] (numeric) = 1.665701711663544268574852749269
absolute error = 4e-31
relative error = 2.4013903401739203731697308523548e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.821
y[1] (analytic) = 1.6660960241316036317551411181592
y[1] (numeric) = 1.6660960241316036317551411181587
absolute error = 5e-31
relative error = 3.0010275083671011034726575552671e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.822
y[1] (analytic) = 1.6664913142152405965965275305998
y[1] (numeric) = 1.6664913142152405965965275305993
absolute error = 5e-31
relative error = 3.0003156676244219930705325055346e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.823
y[1] (analytic) = 1.6668875823332946889379494187604
y[1] (numeric) = 1.6668875823332946889379494187599
absolute error = 5e-31
relative error = 2.9996024045011143706836229573378e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.824
y[1] (analytic) = 1.6672848289006932982538799302987
y[1] (numeric) = 1.6672848289006932982538799302982
absolute error = 5e-31
relative error = 2.9988877205202529006109049375308e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.825
y[1] (analytic) = 1.667683054328450017945323266914
y[1] (numeric) = 1.6676830543284500179453232669135
absolute error = 5e-31
relative error = 2.9981716172162114435697662673067e-29 %
Correct digits = 30
h = 0.001
memory used=1075.7MB, alloc=4.6MB, time=47.69
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.826
y[1] (analytic) = 1.6680822590236630012859890983819
y[1] (numeric) = 1.6680822590236630012859890983814
absolute error = 5e-31
relative error = 2.9974540961346386694401458499270e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.827
y[1] (analytic) = 1.6684824433895133330302222651809
y[1] (numeric) = 1.6684824433895133330302222651803
absolute error = 6e-31
relative error = 3.5960821905989202189580316547185e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.828
y[1] (analytic) = 1.6688836078252634166892013358208
y[1] (numeric) = 1.6688836078252634166892013358203
absolute error = 5e-31
relative error = 2.9960148068777204928376138604785e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.829
y[1] (analytic) = 1.6692857527262553774818569119296
y[1] (numeric) = 1.669285752726255377481856911929
absolute error = 6e-31
relative error = 3.5943516502197898023316329352357e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.83
y[1] (analytic) = 1.6696888784839094809668978752932
y[1] (numeric) = 1.6696888784839094809668978752927
absolute error = 5e-31
relative error = 2.9945698653392475018597874840550e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.831
y[1] (analytic) = 1.6700929854857225673622710466389
y[1] (numeric) = 1.6700929854857225673622710466384
absolute error = 5e-31
relative error = 2.9938452789476400230638282494949e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.832
y[1] (analytic) = 1.670498074115266501558316976232
y[1] (numeric) = 1.6704980741152665015583169762315
absolute error = 5e-31
relative error = 2.9931192842877791976151743270583e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.833
y[1] (analytic) = 1.6709041447521866388308218115991
y[1] (numeric) = 1.6709041447521866388308218115986
absolute error = 5e-31
relative error = 2.9923918829835416384448059399931e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.834
y[1] (analytic) = 1.6713111977722003062601023881228
y[1] (numeric) = 1.6713111977722003062601023881223
absolute error = 5e-31
relative error = 2.9916630766698781686965984626555e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.835
y[1] (analytic) = 1.6717192335470952998621988641437
y[1] (numeric) = 1.6717192335470952998621988641432
absolute error = 5e-31
relative error = 2.9909328669927880684165547673727e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.836
y[1] (analytic) = 1.6721282524447283974381863737951
y[1] (numeric) = 1.6721282524447283974381863737946
absolute error = 5e-31
relative error = 2.9902012556092931725521891032284e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.837
y[1] (analytic) = 1.6725382548290238871475542983408
y[1] (numeric) = 1.6725382548290238871475542983403
absolute error = 5e-31
relative error = 2.9894682441874118208955343909212e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.838
y[1] (analytic) = 1.672949241059972111811538860537
y[1] (numeric) = 1.6729492410599721118115388605365
absolute error = 5e-31
relative error = 2.9887338344061326606071643165742e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1079.6MB, alloc=4.6MB, time=47.86
x[1] = 3.839
y[1] (analytic) = 1.6733612114936280289522318267473
y[1] (numeric) = 1.6733612114936280289522318267468
absolute error = 5e-31
relative error = 2.9879980279553883019625139261404e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.84
y[1] (analytic) = 1.6737741664821097865732251584556
y[1] (numeric) = 1.6737741664821097865732251584551
absolute error = 5e-31
relative error = 2.9872608265360288279656474037253e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.841
y[1] (analytic) = 1.6741881063735973146874884886996
y[1] (numeric) = 1.6741881063735973146874884886991
absolute error = 5e-31
relative error = 2.9865222318597951584794592063318e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.842
y[1] (analytic) = 1.6746030315123309325981133100372
y[1] (numeric) = 1.6746030315123309325981133100368
absolute error = 4e-31
relative error = 2.3886257965194338156200836564320e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.843
y[1] (analytic) = 1.6750189422386099719374947492119
y[1] (numeric) = 1.6750189422386099719374947492114
absolute error = 5e-31
relative error = 2.9850408696379622684072374515080e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.844
y[1] (analytic) = 1.6754358388887914154704587699533
y[1] (numeric) = 1.6754358388887914154704587699528
absolute error = 5e-31
relative error = 2.9842981055700573253253880512209e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.845
y[1] (analytic) = 1.6758537217952885516667795895913
y[1] (numeric) = 1.6758537217952885516667795895908
absolute error = 5e-31
relative error = 2.9835539552006124621355380926493e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.846
y[1] (analytic) = 1.6762725912865696450484690176176
y[1] (numeric) = 1.676272591286569645048469017617
absolute error = 6e-31
relative error = 3.5793701043545018387155797032772e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.847
y[1] (analytic) = 1.676692447687156622317156325266
y[1] (numeric) = 1.6766924476871566223171563252655
absolute error = 5e-31
relative error = 2.9820615026309930591045735348915e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.848
y[1] (analytic) = 1.6771132913176237742668141348405
y[1] (numeric) = 1.67711329131762377426681413484
absolute error = 5e-31
relative error = 2.9813132039945559335954011980369e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.849
y[1] (analytic) = 1.6775351224945964734870226761548
y[1] (numeric) = 1.6775351224945964734870226761543
absolute error = 5e-31
relative error = 2.9805635261839983049519420222078e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.85
y[1] (analytic) = 1.6779579415307499078619015953191
y[1] (numeric) = 1.6779579415307499078619015953186
absolute error = 5e-31
relative error = 2.9798124710078563319405840417544e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.851
y[1] (analytic) = 1.6783817487348078298697753184561
y[1] (numeric) = 1.6783817487348078298697753184556
absolute error = 5e-31
relative error = 2.9790600402852827953573562772404e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1083.4MB, alloc=4.6MB, time=48.03
x[1] = 3.852
y[1] (analytic) = 1.6788065444115413216885747700185
y[1] (numeric) = 1.678806544411541321688574770018
absolute error = 5e-31
relative error = 2.9783062358460189057415333112663e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.853
y[1] (analytic) = 1.6792323288617675761119150224542
y[1] (numeric) = 1.6792323288617675761119150224537
absolute error = 5e-31
relative error = 2.9775510595303659736826196468871e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.854
y[1] (analytic) = 1.6796591023823486932807252112826
y[1] (numeric) = 1.6796591023823486932807252112821
absolute error = 5e-31
relative error = 2.9767945131891569434170180278955e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.855
y[1] (analytic) = 1.6800868652661904932352437874591
y[1] (numeric) = 1.6800868652661904932352437874586
absolute error = 5e-31
relative error = 2.9760365986837277904141231574360e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.856
y[1] (analytic) = 1.6805156178022413442921288974623
y[1] (numeric) = 1.6805156178022413442921288974618
absolute error = 5e-31
relative error = 2.9752773178858887836549898965012e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.857
y[1] (analytic) = 1.6809453602754910072513703811015
y[1] (numeric) = 1.680945360275491007251370381101
absolute error = 5e-31
relative error = 2.9745166726778956133101029299635e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.858
y[1] (analytic) = 1.6813760929669694954376265578541
y[1] (numeric) = 1.6813760929669694954376265578536
absolute error = 5e-31
relative error = 2.9737546649524203845261229299205e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.859
y[1] (analytic) = 1.681807816153745950580545634867
y[1] (numeric) = 1.6818078161537459505805456348664
absolute error = 6e-31
relative error = 3.5675895559350269736417627612968e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.86
y[1] (analytic) = 1.6822405301089275345385682138365
y[1] (numeric) = 1.6822405301089275345385682138359
absolute error = 6e-31
relative error = 3.5666718834859431339606618472826e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.861
y[1] (analytic) = 1.6826742351016583368706440000804
y[1] (numeric) = 1.6826742351016583368706440000798
absolute error = 6e-31
relative error = 3.5657525829041481239116739445107e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.862
y[1] (analytic) = 1.6831089313971182982602324254768
y[1] (numeric) = 1.6831089313971182982602324254762
absolute error = 6e-31
relative error = 3.5648316565104960036495382481603e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.863
y[1] (analytic) = 1.683544619256522149795893487834
y[1] (numeric) = 1.6835446192565221497958934878333
absolute error = 7e-31
relative error = 4.1578939577445247997528829268946e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.864
y[1] (analytic) = 1.6839812989371183681127116829115
y[1] (numeric) = 1.6839812989371183681127116829108
absolute error = 7e-31
relative error = 4.1568157582380535440452088724109e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1087.2MB, alloc=4.6MB, time=48.19
x[1] = 3.865
y[1] (analytic) = 1.6844189706921881463987324620059
y[1] (numeric) = 1.6844189706921881463987324620053
absolute error = 6e-31
relative error = 3.5620591458515721195364761834502e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.866
y[1] (analytic) = 1.6848576347710443812705271879813
y[1] (numeric) = 1.6848576347710443812705271879807
absolute error = 6e-31
relative error = 3.5611317396649605477391892159813e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.867
y[1] (analytic) = 1.6852972914190306755219390861349
y[1] (numeric) = 1.6852972914190306755219390861343
absolute error = 6e-31
relative error = 3.5602027194548939967837230580506e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.868
y[1] (analytic) = 1.6857379408775203567499991935844
y[1] (numeric) = 1.6857379408775203567499991935837
absolute error = 7e-31
relative error = 4.1524841022182313042220296401427e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.869
y[1] (analytic) = 1.6861795833839155118619378022042
y[1] (numeric) = 1.6861795833839155118619378022035
absolute error = 7e-31
relative error = 4.1513964876457731919433531851662e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.87
y[1] (analytic) = 1.6866222191716460374671533657782
y[1] (numeric) = 1.6866222191716460374671533657775
absolute error = 7e-31
relative error = 4.1503069984681710453861532379552e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.871
y[1] (analytic) = 1.6870658484701687061579373022264
y[1] (numeric) = 1.6870658484701687061579373022257
absolute error = 7e-31
relative error = 4.1492156375209657211533373265637e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.872
y[1] (analytic) = 1.6875104715049662486826895667619
y[1] (numeric) = 1.6875104715049662486826895667613
absolute error = 6e-31
relative error = 3.5555334922745943603335635128584e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.873
y[1] (analytic) = 1.6879560884975464520152963018922
y[1] (numeric) = 1.6879560884975464520152963018916
absolute error = 6e-31
relative error = 3.5545948386255791920162548451386e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.874
y[1] (analytic) = 1.688402699665441273324277285551
y[1] (numeric) = 1.6884026996654412733242772855504
absolute error = 6e-31
relative error = 3.5536545879658366774675202632239e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.875
y[1] (analytic) = 1.68885030522220596984524729959
y[1] (numeric) = 1.6888503052222059698452472995894
absolute error = 6e-31
relative error = 3.5527127427735911854013760982739e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.876
y[1] (analytic) = 1.6892989053774182446601719276249
y[1] (numeric) = 1.6892989053774182446601719276243
absolute error = 6e-31
relative error = 3.5517693055389137680555267411817e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.877
y[1] (analytic) = 1.6897485003366774083868346640731
y[1] (numeric) = 1.6897485003366774083868346640725
absolute error = 6e-31
relative error = 3.5508242787636844679482132114591e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.878
y[1] (analytic) = 1.6901990903016035567818685753974
y[1] (numeric) = 1.6901990903016035567818685753968
absolute error = 6e-31
relative error = 3.5498776649615544817901190399208e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1091.0MB, alloc=4.6MB, time=48.36
TOP MAIN SOLVE Loop
x[1] = 3.879
y[1] (analytic) = 1.6906506754698367642606421003323
y[1] (numeric) = 1.6906506754698367642606421003317
absolute error = 6e-31
relative error = 3.5489294666579081824790340526224e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.88
y[1] (analytic) = 1.6911032560350362933372249084743
y[1] (numeric) = 1.6911032560350362933372249084737
absolute error = 6e-31
relative error = 3.5479796863898250001081724923756e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.881
y[1] (analytic) = 1.6915568321868798199875960563188
y[1] (numeric) = 1.6915568321868798199875960563182
absolute error = 6e-31
relative error = 3.5470283267060411629221991012363e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.882
y[1] (analytic) = 1.692011404111062674939192986878
y[1] (numeric) = 1.6920114041110626749391929868774
absolute error = 6e-31
relative error = 3.5460753901669112991581352175149e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.883
y[1] (analytic) = 1.6924669719892971008898362136725
y[1] (numeric) = 1.6924669719892971008898362136719
absolute error = 6e-31
relative error = 3.5451208793443699007113965213161e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.884
y[1] (analytic) = 1.6929235359993115256590008124074
y[1] (numeric) = 1.6929235359993115256590008124068
absolute error = 6e-31
relative error = 3.5441647968218926495702547029452e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.885
y[1] (analytic) = 1.6933810963148498512743421142771
y[1] (numeric) = 1.6933810963148498512743421142765
absolute error = 6e-31
relative error = 3.5432071451944576079650169406238e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.886
y[1] (analytic) = 1.6938396531056707589963192538496
y[1] (numeric) = 1.693839653105670758996319253849
absolute error = 6e-31
relative error = 3.5422479270685062731811795721009e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.887
y[1] (analytic) = 1.6942992065375470302836964721077
y[1] (numeric) = 1.6942992065375470302836964721071
absolute error = 6e-31
relative error = 3.5412871450619044979887356455434e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.888
y[1] (analytic) = 1.694759756772264883702638311738
y[1] (numeric) = 1.6947597567722648837026383117374
absolute error = 6e-31
relative error = 3.5403248018039032776427000574849e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.889
y[1] (analytic) = 1.6952213039676233277820510674022
y[1] (numeric) = 1.6952213039676233277820510674016
absolute error = 6e-31
relative error = 3.5393608999350994044127606509382e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.89
y[1] (analytic) = 1.6956838482774335298177590687617
y[1] (numeric) = 1.6956838482774335298177590687611
absolute error = 6e-31
relative error = 3.5383954421073959906027688786939e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.891
y[1] (analytic) = 1.6961473898515182006280405787095
y[1] (numeric) = 1.6961473898515182006280405787089
absolute error = 6e-31
relative error = 3.5374284309839628610235493613555e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1094.8MB, alloc=4.6MB, time=48.52
x[1] = 3.892
y[1] (analytic) = 1.6966119288357109952629842838447
y[1] (numeric) = 1.6966119288357109952629842838441
absolute error = 6e-31
relative error = 3.5364598692391968158852338152006e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.893
y[1] (analytic) = 1.6970774653718559296700635389654
y[1] (numeric) = 1.6970774653718559296700635389649
absolute error = 5e-31
relative error = 2.9462414662989014708983427685222e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.894
y[1] (analytic) = 1.6975439995978068133182617025049
y[1] (numeric) = 1.6975439995978068133182617025044
absolute error = 5e-31
relative error = 2.9454317538659572790106947473843e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.895
y[1] (analytic) = 1.6980115316474266977830180656525
y[1] (numeric) = 1.698011531647426697783018065652
absolute error = 5e-31
relative error = 2.9446207559903631229968514218598e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.896
y[1] (analytic) = 1.6984800616505873412942000346416
y[1] (numeric) = 1.6984800616505873412942000346411
absolute error = 5e-31
relative error = 2.9438084749378729804299042178520e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.897
y[1] (analytic) = 1.6989495897331686892492433736015
y[1] (numeric) = 1.698949589733168689249243373601
absolute error = 5e-31
relative error = 2.9429949129834294790136636299828e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.898
y[1] (analytic) = 1.6994201160170583706935384547187
y[1] (numeric) = 1.6994201160170583706935384547183
absolute error = 4e-31
relative error = 2.3537440579289041211644309517325e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.899
y[1] (analytic) = 1.699891640620151210770076593493
y[1] (numeric) = 1.6998916406201512107700765934926
absolute error = 4e-31
relative error = 2.3530911644113548704421706028789e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.9
y[1] (analytic) = 1.700364163656348759140306669851
y[1] (numeric) = 1.7003641636563487591403066698506
absolute error = 4e-31
relative error = 2.3524372516759403902510166099547e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.901
y[1] (analytic) = 1.7008376852355588343780883510633
y[1] (numeric) = 1.700837685235558834378088351063
absolute error = 3e-31
relative error = 1.7638367411788107653639350221635e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.902
y[1] (analytic) = 1.7013122054636950843385643400448
y[1] (numeric) = 1.7013122054636950843385643400445
absolute error = 3e-31
relative error = 1.7633447819663091716950122750004e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.903
y[1] (analytic) = 1.7017877244426765625037101729616
y[1] (numeric) = 1.7017877244426765625037101729613
absolute error = 3e-31
relative error = 1.7628520625170679094417822902403e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.904
y[1] (analytic) = 1.7022642422704273203062561833826
y[1] (numeric) = 1.7022642422704273203062561833822
absolute error = 4e-31
relative error = 2.3498114456454327538703804042654e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1098.6MB, alloc=4.6MB, time=48.69
x[1] = 3.905
y[1] (analytic) = 1.7027417590408760154336123367421
y[1] (numeric) = 1.7027417590408760154336123367417
absolute error = 4e-31
relative error = 2.3491524647008883321789596330903e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.906
y[1] (analytic) = 1.7032202748439555361133627188941
y[1] (numeric) = 1.7032202748439555361133627188937
absolute error = 4e-31
relative error = 2.3484924757406784916993520910742e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.907
y[1] (analytic) = 1.703699789765602641381832536277
y[1] (numeric) = 1.7036997897656026413818325362766
absolute error = 4e-31
relative error = 2.3478314806567684659669575147902e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.908
y[1] (analytic) = 1.7041803038877576173371665529435
y[1] (numeric) = 1.7041803038877576173371665529431
absolute error = 4e-31
relative error = 2.3471694813481730599205457979178e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.909
y[1] (analytic) = 1.7046618172883639493782939516812
y[1] (numeric) = 1.7046618172883639493782939516808
absolute error = 4e-31
relative error = 2.3465064797209287901037765470632e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.91
y[1] (analytic) = 1.7051443300413680104310906629295
y[1] (numeric) = 1.7051443300413680104310906629291
absolute error = 4e-31
relative error = 2.3458424776880659503546567943901e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.911
y[1] (analytic) = 1.7056278422167187651629862564267
y[1] (numeric) = 1.7056278422167187651629862564263
absolute error = 4e-31
relative error = 2.3451774771695806036565396886547e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.912
y[1] (analytic) = 1.7061123538803674901871985367654
y[1] (numeric) = 1.706112353880367490187198536765
absolute error = 4e-31
relative error = 2.3445114800924065008255490910835e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.913
y[1] (analytic) = 1.706597865094267510257715025545
y[1] (numeric) = 1.7065978650942675102577150255446
absolute error = 4e-31
relative error = 2.3438444883903869267105700816539e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.914
y[1] (analytic) = 1.7070843759163739504560765498436
y[1] (numeric) = 1.7070843759163739504560765498432
absolute error = 4e-31
relative error = 2.3431765040042464745831734214613e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.915
y[1] (analytic) = 1.7075718864006435043709541895446
y[1] (numeric) = 1.7075718864006435043709541895442
absolute error = 4e-31
relative error = 2.3425075288815627493960430063017e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.916
y[1] (analytic) = 1.7080603965970342182714468649008
y[1] (numeric) = 1.7080603965970342182714468649005
absolute error = 3e-31
relative error = 1.7563781737325535004422369564035e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.917
y[1] (analytic) = 1.7085499065515052912749628708585
y[1] (numeric) = 1.7085499065515052912749628708581
absolute error = 4e-31
relative error = 2.3411666142509706851280583968224e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1102.4MB, alloc=4.6MB, time=48.85
x[1] = 3.918
y[1] (analytic) = 1.7090404163060168915104846863476
y[1] (numeric) = 1.7090404163060168915104846863473
absolute error = 3e-31
relative error = 1.7553710090041702210844151294511e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.919
y[1] (analytic) = 1.709531925898529988277952405236
y[1] (numeric) = 1.7095319258985299882779524052357
absolute error = 3e-31
relative error = 1.7548663201614090862421277222531e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.92
y[1] (analytic) = 1.7100244353630062002044371511874
y[1] (numeric) = 1.7100244353630062002044371511871
absolute error = 3e-31
relative error = 1.7543608956460064370274861683241e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.921
y[1] (analytic) = 1.7105179447294076593977118515295
y[1] (numeric) = 1.7105179447294076593977118515291
absolute error = 4e-31
relative error = 2.3384729825987139104796704374621e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.922
y[1] (analytic) = 1.7110124540236968915977627556659
y[1] (numeric) = 1.7110124540236968915977627556655
absolute error = 4e-31
relative error = 2.3377971274220786442586103106751e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.923
y[1] (analytic) = 1.7115079632678367123267210918282
y[1] (numeric) = 1.7115079632678367123267210918277
absolute error = 5e-31
relative error = 2.9214003716660135276641501991685e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.924
y[1] (analytic) = 1.7120044724797901390376302623003
y[1] (numeric) = 1.7120044724797901390376302622999
absolute error = 4e-31
relative error = 2.3364424943388804014687882866485e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.925
y[1] (analytic) = 1.7125019816735203192623999819326
y[1] (numeric) = 1.7125019816735203192623999819321
absolute error = 5e-31
relative error = 2.9197046505685295272059425512090e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.926
y[1] (analytic) = 1.7130004908589904747592347680296
y[1] (numeric) = 1.7130004908589904747592347680291
absolute error = 5e-31
relative error = 2.9188549721271424631870087378705e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.927
y[1] (analytic) = 1.7135000000421638616597601918266
y[1] (numeric) = 1.7135000000421638616597601918261
absolute error = 5e-31
relative error = 2.9180040851339163579992987740513e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.928
y[1] (analytic) = 1.714000509225003746616006302994
y[1] (numeric) = 1.7140005092250037466160063029935
absolute error = 5e-31
relative error = 2.9171519921314269996649589015994e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.929
y[1] (analytic) = 1.714502018405473398947343639206
y[1] (numeric) = 1.7145020184054733989473436392055
absolute error = 5e-31
relative error = 2.9162986956703123901023332176070e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.93
y[1] (analytic) = 1.7150045275775360987874032330176
y[1] (numeric) = 1.7150045275775360987874032330171
absolute error = 5e-31
relative error = 2.9154441983092361431860613234828e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.931
y[1] (analytic) = 1.7155080367311551612309480283818
y[1] (numeric) = 1.7155080367311551612309480283814
absolute error = 4e-31
relative error = 2.3316708020918806461125881282787e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1106.3MB, alloc=4.6MB, time=49.02
x[1] = 3.932
y[1] (analytic) = 1.7160125458522939764805991193534
y[1] (numeric) = 1.7160125458522939764805991193529
absolute error = 5e-31
relative error = 2.9137316111617611156366690741386e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.933
y[1] (analytic) = 1.7165180549229160659932562241267
y[1] (numeric) = 1.7165180549229160659932562241262
absolute error = 5e-31
relative error = 2.9128735265324871579572294421045e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.934
y[1] (analytic) = 1.7170245639209851546259878088024
y[1] (numeric) = 1.7170245639209851546259878088019
absolute error = 5e-31
relative error = 2.9120142513174274866080287536218e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.935
y[1] (analytic) = 1.7175320728204652587811022774173
y[1] (numeric) = 1.7175320728204652587811022774168
absolute error = 5e-31
relative error = 2.9111537881148221457391138957221e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.936
y[1] (analytic) = 1.7180405815913207905500476480702
y[1] (numeric) = 1.7180405815913207905500476480698
absolute error = 4e-31
relative error = 2.3282337116245725054016556582471e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.937
y[1] (analytic) = 1.7185500901995166778557231396852
y[1] (numeric) = 1.7185500901995166778557231396848
absolute error = 4e-31
relative error = 2.3275434465431358267717722541641e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.938
y[1] (analytic) = 1.7190605986070185005927221003242
y[1] (numeric) = 1.7190605986070185005927221003238
absolute error = 4e-31
relative error = 2.3268522373447812825654387651586e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.939
y[1] (analytic) = 1.7195721067717926427649617162606
y[1] (numeric) = 1.7195721067717926427649617162601
absolute error = 5e-31
relative error = 2.9077001076661210097207757028390e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.94
y[1] (analytic) = 1.7200846146478064606200909514962
y[1] (numeric) = 1.7200846146478064606200909514957
absolute error = 5e-31
relative error = 2.9068337437712435237424328132907e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.941
y[1] (analytic) = 1.7205981221850284667800041803156
y[1] (numeric) = 1.7205981221850284667800041803152
absolute error = 4e-31
relative error = 2.3247729661126823097093719699158e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.942
y[1] (analytic) = 1.7211126293294285303667239910679
y[1] (numeric) = 1.7211126293294285303667239910674
absolute error = 5e-31
relative error = 2.9050975019270386164647302410659e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.943
y[1] (analytic) = 1.7216281360229780931228526579106
y[1] (numeric) = 1.7216281360229780931228526579102
absolute error = 4e-31
relative error = 2.3233821034315467934867559761447e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.944
y[1] (analytic) = 1.722144642203650401525727799001
y[1] (numeric) = 1.7221446422036504015257277990006
absolute error = 4e-31
relative error = 2.3226852739161407856640899224765e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1110.1MB, alloc=4.6MB, time=49.19
x[1] = 3.945
y[1] (analytic) = 1.7226621478054207548943537648177
y[1] (numeric) = 1.7226621478054207548943537648173
absolute error = 4e-31
relative error = 2.3219875151350980853151727215846e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.946
y[1] (analytic) = 1.7231806527582667694881163292212
y[1] (numeric) = 1.7231806527582667694881163292208
absolute error = 4e-31
relative error = 2.3212888292340481887025310871320e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.947
y[1] (analytic) = 1.7237001569881686585962242887449
y[1] (numeric) = 1.7237001569881686585962242887445
absolute error = 4e-31
relative error = 2.3205892183645346638443172306855e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.948
y[1] (analytic) = 1.7242206604171095286167576127241
y[1] (numeric) = 1.7242206604171095286167576127237
absolute error = 4e-31
relative error = 2.3198886846839848933767637519279e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.949
y[1] (analytic) = 1.7247421629630756911241378284651
y[1] (numeric) = 1.7247421629630756911241378284647
absolute error = 4e-31
relative error = 2.3191872303556797698779330143550e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.95
y[1] (analytic) = 1.725264664540056990923772371989
y[1] (numeric) = 1.7252646645400569909237723719887
absolute error = 3e-31
relative error = 1.7388636431615425082672585688681e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.951
y[1] (analytic) = 1.7257881650580471500925606862108
y[1] (numeric) = 1.7257881650580471500925606862105
absolute error = 3e-31
relative error = 1.7383361763285093214562234414181e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.952
y[1] (analytic) = 1.7263126644230441280038859049865
y[1] (numeric) = 1.7263126644230441280038859049862
absolute error = 3e-31
relative error = 1.7378080239031546141109313225536e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.953
y[1] (analytic) = 1.7268381625370504973356520235434
y[1] (numeric) = 1.7268381625370504973356520235431
absolute error = 3e-31
relative error = 1.7372791875252716058105481046734e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.954
y[1] (analytic) = 1.727364659298073836059862523645
y[1] (numeric) = 1.7273646592980738360598625236448
absolute error = 2e-31
relative error = 1.1578331125592863264793255997525e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.955
y[1] (analytic) = 1.7278921546001271354121724956995
y[1] (numeric) = 1.7278921546001271354121724956993
absolute error = 2e-31
relative error = 1.1574796463283003341602664494143e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.956
y[1] (analytic) = 1.728420648333229223839782380146
y[1] (numeric) = 1.7284206483332292238397823801458
absolute error = 2e-31
relative error = 1.1571257274255913031449313154883e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.957
y[1] (analytic) = 1.7289501403834052069259775371107
y[1] (numeric) = 1.7289501403834052069259775371105
absolute error = 2e-31
relative error = 1.1567713569556654991336934935114e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1113.9MB, alloc=4.6MB, time=49.35
x[1] = 3.958
y[1] (analytic) = 1.7294806306326869232895539467597
y[1] (numeric) = 1.7294806306326869232895539467595
absolute error = 2e-31
relative error = 1.1564165360258185602117216163785e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.959
y[1] (analytic) = 1.730012118959113416457306443254
y[1] (numeric) = 1.7300121189591134164573064432539
absolute error = 1e-31
relative error = 5.7803063287306006309034439705885e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.96
y[1] (analytic) = 1.7305446052367314227076919929837
y[1] (numeric) = 1.7305446052367314227076919929836
absolute error = 1e-31
relative error = 5.7785277361469922399752671592665e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.961
y[1] (analytic) = 1.7310780893355958748837166430771
y[1] (numeric) = 1.731078089335595874883716643077
absolute error = 1e-31
relative error = 5.7767469079561248882762904227718e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.962
y[1] (analytic) = 1.7316125711217704221730308893101
y[1] (numeric) = 1.73161257112177042217303088931
absolute error = 1e-31
relative error = 5.7749638497494946945508241555160e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.963
y[1] (analytic) = 1.7321480504573279658531543437274
y[1] (numeric) = 1.7321480504573279658531543437272
absolute error = 2e-31
relative error = 1.1546357134264318791210048455026e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.964
y[1] (analytic) = 1.7326845272003512109996867217896
y[1] (numeric) = 1.7326845272003512109996867217894
absolute error = 2e-31
relative error = 1.1542782131445322026390661393525e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.965
y[1] (analytic) = 1.7332220012049332341552983169403
y[1] (numeric) = 1.7332220012049332341552983169401
absolute error = 2e-31
relative error = 1.1539202702305896860492768774061e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.966
y[1] (analytic) = 1.7337604723211780669572292873858
y[1] (numeric) = 1.7337604723211780669572292873856
absolute error = 2e-31
relative error = 1.1535618858136599756317622580636e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.967
y[1] (analytic) = 1.7342999403952012957209632458703
y[1] (numeric) = 1.7342999403952012957209632458701
absolute error = 2e-31
relative error = 1.1532030610254490673933607346980e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.968
y[1] (analytic) = 1.7348404052691306769776768185503
y[1] (numeric) = 1.7348404052691306769776768185501
absolute error = 2e-31
relative error = 1.1528437970002977700209803640216e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.969
y[1] (analytic) = 1.7353818667811067689630030239917
y[1] (numeric) = 1.7353818667811067689630030239915
absolute error = 2e-31
relative error = 1.1524840948751661511085583371985e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.97
y[1] (analytic) = 1.7359243247652835790545825180773
y[1] (numeric) = 1.7359243247652835790545825180771
absolute error = 2e-31
relative error = 1.1521239557896179670092563116365e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.971
y[1] (analytic) = 1.7364677790518292271558129554838
y[1] (numeric) = 1.7364677790518292271558129554836
absolute error = 2e-31
relative error = 1.1517633808858050766643810505222e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1117.7MB, alloc=4.6MB, time=49.52
TOP MAIN SOLVE Loop
x[1] = 3.972
y[1] (analytic) = 1.7370122294669266250231429336142
y[1] (numeric) = 1.737012229466926625023142933614
absolute error = 2e-31
relative error = 1.1514023713084518397603641280082e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.973
y[1] (analytic) = 1.7375576758327741715341932107171
y[1] (numeric) = 1.7375576758327741715341932107169
absolute error = 2e-31
relative error = 1.1510409282048394995649661059206e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.974
y[1] (analytic) = 1.7381041179675864638939241266333
y[1] (numeric) = 1.7381041179675864638939241266331
absolute error = 2e-31
relative error = 1.1506790527247905507936896689944e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.975
y[1] (analytic) = 1.73865155568559502477600440245
y[1] (numeric) = 1.7386515556855950247760044024498
absolute error = 2e-31
relative error = 1.1503167460206530928571927565917e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.976
y[1] (analytic) = 1.7391999887970490453964727545558
y[1] (numeric) = 1.7391999887970490453964727545556
absolute error = 2e-31
relative error = 1.1499540092472851688402867868893e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.977
y[1] (analytic) = 1.7397494171082161445167200294412
y[1] (numeric) = 1.739749417108216144516720029441
absolute error = 2e-31
relative error = 1.1495908435620390905628866724956e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.978
y[1] (analytic) = 1.7402998404213831433727558483279
y[1] (numeric) = 1.7402998404213831433727558483277
absolute error = 2e-31
relative error = 1.1492272501247457500730485128451e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.979
y[1] (analytic) = 1.7408512585348568565276600455938
y[1] (numeric) = 1.7408512585348568565276600455936
absolute error = 2e-31
relative error = 1.1488632300976989179219876575758e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.98
y[1] (analytic) = 1.7414036712429648986440554922423
y[1] (numeric) = 1.7414036712429648986440554922421
absolute error = 2e-31
relative error = 1.1484987846456395285707143060866e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.981
y[1] (analytic) = 1.7419570783360565071733752156004
y[1] (numeric) = 1.7419570783360565071733752156002
absolute error = 2e-31
relative error = 1.1481339149357399532776559818319e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.982
y[1] (analytic) = 1.7425114796005033809586330592736
y[1] (numeric) = 1.7425114796005033809586330592734
absolute error = 2e-31
relative error = 1.1477686221375882608163561364714e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.983
y[1] (analytic) = 1.7430668748187005347473434733936
y[1] (numeric) = 1.7430668748187005347473434733935
absolute error = 1e-31
relative error = 5.7370145371158623318602292007976e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.984
y[1] (analytic) = 1.7436232637690671696111723846192
y[1] (numeric) = 1.7436232637690671696111723846191
absolute error = 1e-31
relative error = 5.7351838598343238448279052100399e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1121.5MB, alloc=4.6MB, time=49.68
x[1] = 3.985
y[1] (analytic) = 1.7441806462260475592688374684463
y[1] (numeric) = 1.7441806462260475592688374684461
absolute error = 2e-31
relative error = 1.1466702169454057777529212816458e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.986
y[1] (analytic) = 1.744739021960111952308712533409
y[1] (numeric) = 1.7447390219601119523087125334088
absolute error = 2e-31
relative error = 1.1463032435378887275479970419413e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.987
y[1] (analytic) = 1.745298390737757490307527127957
y[1] (numeric) = 1.7452983907377574903075271279568
absolute error = 2e-31
relative error = 1.1459358529257436839164721980275e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.988
y[1] (analytic) = 1.745858752321509141841488896434
y[1] (numeric) = 1.7458587523215091418414888964338
absolute error = 2e-31
relative error = 1.1455680462927217381875552830166e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.989
y[1] (analytic) = 1.7464201064699206523860926409142
y[1] (numeric) = 1.746420106469920652386092640914
absolute error = 2e-31
relative error = 1.1451998248248791927306486009900e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.99
y[1] (analytic) = 1.7469824529375755101008164909265
y[1] (numeric) = 1.7469824529375755101008164909264
absolute error = 1e-31
relative error = 5.7241559485528086842162380917346e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.991
y[1] (analytic) = 1.7475457914750879274948420435703
y[1] (numeric) = 1.7475457914750879274948420435701
absolute error = 2e-31
relative error = 1.1444621421403886135961146012606e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.992
y[1] (analytic) = 1.7481101218291038389698718124494
y[1] (numeric) = 1.7481101218291038389698718124492
absolute error = 2e-31
relative error = 1.1440926833072367779813501862516e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.993
y[1] (analytic) = 1.748675443742301914236053815487
y[1] (numeric) = 1.7486754437423019142360538154867
absolute error = 3e-31
relative error = 1.7155842216093375700628617795315e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.994
y[1] (analytic) = 1.7492417569533945875969596392715
y[1] (numeric) = 1.7492417569533945875969596392712
absolute error = 3e-31
relative error = 1.7150288049520473599910087417742e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.995
y[1] (analytic) = 1.7498090611971291030994988413964
y[1] (numeric) = 1.7498090611971291030994988413961
absolute error = 3e-31
relative error = 1.7144727767883169735301832450805e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.996
y[1] (analytic) = 1.7503773562042885755445890925276
y[1] (numeric) = 1.7503773562042885755445890925272
absolute error = 4e-31
relative error = 2.2852215185610269921529566634881e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.997
y[1] (analytic) = 1.7509466417016930673543380169335
y[1] (numeric) = 1.7509466417016930673543380169331
absolute error = 4e-31
relative error = 2.2844785242070647754502493629399e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1125.3MB, alloc=4.6MB, time=49.85
x[1] = 3.998
y[1] (analytic) = 1.7515169174122006812914292641866
y[1] (numeric) = 1.7515169174122006812914292641862
absolute error = 4e-31
relative error = 2.2837347217347161893338751896636e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 3.999
y[1] (analytic) = 1.7520881830547086690263419359484
y[1] (numeric) = 1.7520881830547086690263419359481
absolute error = 3e-31
relative error = 1.7122425851703409879770347847640e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4
y[1] (analytic) = 1.7526604383441545555479691004387
y[1] (numeric) = 1.7526604383441545555479691004383
absolute error = 4e-31
relative error = 2.2822447021050149868763919845664e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.001
y[1] (analytic) = 1.7532336829915172794131377536135
y[1] (numeric) = 1.7532336829915172794131377536131
absolute error = 4e-31
relative error = 2.2814984897933616269727264151518e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.002
y[1] (analytic) = 1.7538079167038183488304692304936
y[1] (numeric) = 1.7538079167038183488304692304933
absolute error = 3e-31
relative error = 1.7105636092909925860656941535191e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.003
y[1] (analytic) = 1.7543831391841230135739557327424
y[1] (numeric) = 1.754383139184123013573955732742
absolute error = 4e-31
relative error = 2.2800036723222286126248192257425e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.004
y[1] (analytic) = 1.7549593501315414527215653197489
y[1] (numeric) = 1.7549593501315414527215653197485
absolute error = 4e-31
relative error = 2.2792550720335393960559327031150e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.005
y[1] (analytic) = 1.7555365492412299782141244103818
y[1] (numeric) = 1.7555365492412299782141244103814
absolute error = 4e-31
relative error = 2.2785056806301536729218101388147e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.006
y[1] (analytic) = 1.7561147362043922542296635614868
y[1] (numeric) = 1.7561147362043922542296635614864
absolute error = 4e-31
relative error = 2.2777555005577063950205328112441e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.007
y[1] (analytic) = 1.7566939107082805323683490273719
y[1] (numeric) = 1.7566939107082805323683490273715
absolute error = 4e-31
relative error = 2.2770045342658710624579009378593e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.008
y[1] (analytic) = 1.7572740724361969026430593621996
y[1] (numeric) = 1.7572740724361969026430593621992
absolute error = 4e-31
relative error = 2.2762527842083278549025830066837e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.009
y[1] (analytic) = 1.7578552210674945602706031046494
y[1] (numeric) = 1.7578552210674945602706031046491
absolute error = 3e-31
relative error = 1.7066251896320488177900119729812e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.01
y[1] (analytic) = 1.7584373562775790882585103816677
y[1] (numeric) = 1.7584373562775790882585103816674
absolute error = 3e-31
relative error = 1.7060602069730105092434730026158e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1129.1MB, alloc=4.6MB, time=50.01
x[1] = 4.011
y[1] (analytic) = 1.7590204777379097557822680858484
y[1] (numeric) = 1.7590204777379097557822680858482
absolute error = 2e-31
relative error = 1.1369964280188417860443732076653e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.012
y[1] (analytic) = 1.7596045851160008323478051192368
y[1] (numeric) = 1.7596045851160008323478051192366
absolute error = 2e-31
relative error = 1.1366189977665642705726130491909e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.013
y[1] (analytic) = 1.7601896780754229177339710553651
y[1] (numeric) = 1.7601896780754229177339710553649
absolute error = 2e-31
relative error = 1.1362411817951254767098550164399e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.014
y[1] (analytic) = 1.7607757562758042877096884513805
y[1] (numeric) = 1.7607757562758042877096884513803
absolute error = 2e-31
relative error = 1.1358629813430507726134756815931e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.015
y[1] (analytic) = 1.76136281937283225552039594345
y[1] (numeric) = 1.7613628193728322555203959434498
absolute error = 2e-31
relative error = 1.1354843976507572633822299349032e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.016
y[1] (analytic) = 1.7619508670182545491383361814846
y[1] (numeric) = 1.7619508670182545491383361814844
absolute error = 2e-31
relative error = 1.1351054319605378429176618151636e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.017
y[1] (analytic) = 1.7625398988598807042711796038679
y[1] (numeric) = 1.7625398988598807042711796038677
absolute error = 2e-31
relative error = 1.1347260855165452455653598487939e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.018
y[1] (analytic) = 1.7631299145415834731234120195512
y[1] (numeric) = 1.763129914541583473123412019551
absolute error = 2e-31
relative error = 1.1343463595647760978672895554679e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.019
y[1] (analytic) = 1.7637209137033002489048509538432
y[1] (numeric) = 1.763720913703300248904850953843
absolute error = 2e-31
relative error = 1.1339662553530549707557358105260e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.02
y[1] (analytic) = 1.7643128959810345060805927257284
y[1] (numeric) = 1.7643128959810345060805927257282
absolute error = 2e-31
relative error = 1.1335857741310184325186774681443e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.021
y[1] (analytic) = 1.7649058610068572563566292588454
y[1] (numeric) = 1.7649058610068572563566292588452
absolute error = 2e-31
relative error = 1.1332049171500991028656961042882e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.022
y[1] (analytic) = 1.7654998084089085203953106856007
y[1] (numeric) = 1.7654998084089085203953106856005
absolute error = 2e-31
relative error = 1.1328236856635097084227899951597e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.023
y[1] (analytic) = 1.766094737811398815254766884528
y[1] (numeric) = 1.7660947378113988152547668845278
absolute error = 2e-31
relative error = 1.1324420809262271399837235658612e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.024
y[1] (analytic) = 1.7666906488346106575463381951921
y[1] (numeric) = 1.7666906488346106575463381951919
memory used=1133.0MB, alloc=4.6MB, time=50.18
absolute error = 2e-31
relative error = 1.1320601041949765118447915863846e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.025
y[1] (analytic) = 1.7672875410949000823040026829167
y[1] (numeric) = 1.7672875410949000823040026829165
absolute error = 2e-31
relative error = 1.1316777567282152235491164192669e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.026
y[1] (analytic) = 1.7678854142046981775597244776541
y[1] (numeric) = 1.7678854142046981775597244776539
absolute error = 2e-31
relative error = 1.1312950397861170243658256971097e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.027
y[1] (analytic) = 1.768484267772512634618584887648
y[1] (numeric) = 1.7684842677725126346185848876478
absolute error = 2e-31
relative error = 1.1309119546305560808286769908366e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.028
y[1] (analytic) = 1.7690841014029293140274951894332
y[1] (numeric) = 1.769084101402929314027495189433
absolute error = 2e-31
relative error = 1.1305285025250910476579053835740e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.029
y[1] (analytic) = 1.769684914696613827231227221408
y[1] (numeric) = 1.7696849146966138272312272214078
absolute error = 2e-31
relative error = 1.1301446847349491423882694532764e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.03
y[1] (analytic) = 1.7702867072503131339094351589665
y[1] (numeric) = 1.7702867072503131339094351589663
absolute error = 2e-31
relative error = 1.1297605025270102240254610528979e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.031
y[1] (analytic) = 1.7708894786568571549882791252332
y[1] (numeric) = 1.770889478656857154988279125233
absolute error = 2e-31
relative error = 1.1293759571697908760522245236187e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.032
y[1] (analytic) = 1.771493228505160401320198593056
y[1] (numeric) = 1.7714932285051604013201985930558
absolute error = 2e-31
relative error = 1.1289910499334284941047016482593e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.033
y[1] (analytic) = 1.772097956380223618025320861336
y[1] (numeric) = 1.7720979563802236180253208613358
absolute error = 2e-31
relative error = 1.1286057820896653786386798128068e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.034
y[1] (analytic) = 1.7727036618631354444879272422521
y[1] (numeric) = 1.7727036618631354444879272422519
absolute error = 2e-31
relative error = 1.1282201549118328329045725584914e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.035
y[1] (analytic) = 1.7733103445310740900013369757296
y[1] (numeric) = 1.7733103445310740900013369757294
absolute error = 2e-31
relative error = 1.1278341696748352665491040399670e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.036
y[1] (analytic) = 1.7739180039573090250545062938506
y[1] (numeric) = 1.7739180039573090250545062938504
absolute error = 2e-31
relative error = 1.1274478276551343051608019220757e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.037
y[1] (analytic) = 1.7745266397112026882535774910658
y[1] (numeric) = 1.7745266397112026882535774910656
absolute error = 2e-31
relative error = 1.1270611301307329060755270139017e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1136.8MB, alloc=4.6MB, time=50.35
x[1] = 4.038
y[1] (analytic) = 1.7751362513582122088715503162864
y[1] (numeric) = 1.7751362513582122088715503162862
absolute error = 2e-31
relative error = 1.1266740783811594807573825201731e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.039
y[1] (analytic) = 1.7757468384598911450191854904683
y[1] (numeric) = 1.7757468384598911450191854904681
absolute error = 2e-31
relative error = 1.1262866736874520240694512526428e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.04
y[1] (analytic) = 1.7763584005738912374301876683912
y[1] (numeric) = 1.776358400573891237430187668391
absolute error = 2e-31
relative error = 1.1258989173321422507479055542885e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.041
y[1] (analytic) = 1.7769709372539641788536527062397
y[1] (numeric) = 1.7769709372539641788536527062395
absolute error = 2e-31
relative error = 1.1255108105992397393921221136946e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.042
y[1] (analytic) = 1.777584448049963399046701667556
y[1] (numeric) = 1.7775844480499633990467016675558
absolute error = 2e-31
relative error = 1.1251223547742160842825123527950e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.043
y[1] (analytic) = 1.778198932507845865360161599409
y[1] (numeric) = 1.7781989325078458653601615994088
absolute error = 2e-31
relative error = 1.1247335511439890553368487255131e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.044
y[1] (analytic) = 1.7788143901696738989100907384562
y[1] (numeric) = 1.778814390169673898910090738456
absolute error = 2e-31
relative error = 1.1243444009969067665149281352511e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.045
y[1] (analytic) = 1.7794308205736170063278834632208
y[1] (numeric) = 1.7794308205736170063278834632206
absolute error = 2e-31
relative error = 1.1239549056227318529804658334472e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.046
y[1] (analytic) = 1.7800482232539537270816279946048
y[1] (numeric) = 1.7800482232539537270816279946045
absolute error = 3e-31
relative error = 1.6853475994689384859922350013727e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.047
y[1] (analytic) = 1.7806665977410734963613275616715
y[1] (numeric) = 1.7806665977410734963613275616712
absolute error = 3e-31
relative error = 1.6847623265386986377743132100601e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.048
y[1] (analytic) = 1.7812859435614785235205334942966
y[1] (numeric) = 1.7812859435614785235205334942964
absolute error = 2e-31
relative error = 1.1227843610561635104770148210218e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.049
y[1] (analytic) = 1.7819062602377856860668764786595
y[1] (numeric) = 1.7819062602377856860668764786593
absolute error = 2e-31
relative error = 1.1223934976989815907109762980209e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.05
y[1] (analytic) = 1.782527547288728439193920015975
y[1] (numeric) = 1.7825275472887284391939200159748
absolute error = 2e-31
relative error = 1.1220022955841848925008411103210e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1140.6MB, alloc=4.6MB, time=50.51
x[1] = 4.051
y[1] (analytic) = 1.7831498042291587408466979595991
y[1] (numeric) = 1.7831498042291587408466979595989
absolute error = 2e-31
relative error = 1.1216107560096914277162470787328e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.052
y[1] (analytic) = 1.7837730305700489923132358709231
y[1] (numeric) = 1.7837730305700489923132358709229
absolute error = 2e-31
relative error = 1.1212188802747232405104921679468e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.053
y[1] (analytic) = 1.7843972258184939943342938305606
y[1] (numeric) = 1.7843972258184939943342938305604
absolute error = 2e-31
relative error = 1.1208266696797906655438695810981e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.054
y[1] (analytic) = 1.7850223894777129187235062684621
y[1] (numeric) = 1.7850223894777129187235062684619
absolute error = 2e-31
relative error = 1.1204341255266765977002162533956e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.055
y[1] (analytic) = 1.785648521047051295490032335028
y[1] (numeric) = 1.7856485210470512954900323350278
absolute error = 2e-31
relative error = 1.1200412491184207735956253540975e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.056
y[1] (analytic) = 1.786275620021983015455768325268
y[1] (numeric) = 1.7862756200219830154557683252678
absolute error = 2e-31
relative error = 1.1196480417593040651772342274164e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.057
y[1] (analytic) = 1.7869036858941123483591116898263
y[1] (numeric) = 1.7869036858941123483591116898261
absolute error = 2e-31
relative error = 1.1192545047548327857089521403467e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.058
y[1] (analytic) = 1.7875327181511759764372042205088
y[1] (numeric) = 1.7875327181511759764372042205086
absolute error = 2e-31
relative error = 1.1188606394117230084399373296648e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.059
y[1] (analytic) = 1.7881627162770450434785200840498
y[1] (numeric) = 1.7881627162770450434785200840497
absolute error = 1e-31
relative error = 5.5923322351894244912528511121570e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.06
y[1] (analytic) = 1.7887936797517272193376024964991
y[1] (numeric) = 1.788793679751727219337602496499
absolute error = 1e-31
relative error = 5.5903596447120352828479970767004e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.061
y[1] (analytic) = 1.7894256080513687799036909820343
y[1] (numeric) = 1.7894256080513687799036909820342
absolute error = 1e-31
relative error = 5.5883854321777043992752955476847e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.062
y[1] (analytic) = 1.7900585006482567025149193444639
y[1] (numeric) = 1.7900585006482567025149193444638
absolute error = 1e-31
relative error = 5.5864096041434246596523564028080e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.063
y[1] (analytic) = 1.7906923570108207768097026974225
y[1] (numeric) = 1.7906923570108207768097026974224
absolute error = 1e-31
relative error = 5.5844321671718466523337649475078e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1144.4MB, alloc=4.6MB, time=50.68
x[1] = 4.064
y[1] (analytic) = 1.791327176603635731006870150524
y[1] (numeric) = 1.7913271766036357310068701505239
absolute error = 1e-31
relative error = 5.5824531278312007394957449156264e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.065
y[1] (analytic) = 1.7919629588874233736060380337783
y[1] (numeric) = 1.7919629588874233736060380337782
absolute error = 1e-31
relative error = 5.5804724926952191353370107982546e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.066
y[1] (analytic) = 1.7925997033190547504996568616331
y[1] (numeric) = 1.792599703319054750499656861633
absolute error = 1e-31
relative error = 5.5784902683430580593312983252868e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.067
y[1] (analytic) = 1.7932374093515523174881035913294
y[1] (numeric) = 1.7932374093515523174881035913294
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.068
y[1] (analytic) = 1.7938760764340921281891291180991
y[1] (numeric) = 1.793876076434092128189129118099
absolute error = 1e-31
relative error = 5.5745210783334758523593033960740e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.069
y[1] (analytic) = 1.7945157040120060373329093723301
y[1] (numeric) = 1.7945157040120060373329093723301
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.07
y[1] (analytic) = 1.795156291526783919433886841435
y[1] (numeric) = 1.795156291526783919433886841435
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.071
y[1] (analytic) = 1.7957978384160759028305278320125
y[1] (numeric) = 1.7957978384160759028305278320125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.072
y[1] (analytic) = 1.7964403441136946190840593162535
y[1] (numeric) = 1.7964403441136946190840593162535
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.073
y[1] (analytic) = 1.7970838080496174677271877706427
y[1] (numeric) = 1.7970838080496174677271877706427
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.074
y[1] (analytic) = 1.7977282296499888963537410150998
y[1] (numeric) = 1.7977282296499888963537410150999
absolute error = 1e-31
relative error = 5.5625760529704555974049761367340e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.075
y[1] (analytic) = 1.7983736083371226960401126970342
y[1] (numeric) = 1.7983736083371226960401126970342
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.076
y[1] (analytic) = 1.7990199435295043120893277375937
y[1] (numeric) = 1.7990199435295043120893277375938
absolute error = 1e-31
relative error = 5.5585820690686511335276130623276e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.077
y[1] (analytic) = 1.7996672346417931700884857669296
y[1] (numeric) = 1.7996672346417931700884857669297
absolute error = 1e-31
relative error = 5.5565827990364040325397594142534e-30 %
Correct digits = 31
h = 0.001
memory used=1148.2MB, alloc=4.6MB, time=50.85
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.078
y[1] (analytic) = 1.8003154810848250172702783218024
y[1] (numeric) = 1.8003154810848250172702783218024
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.079
y[1] (analytic) = 1.8009646822656142791692143625833
y[1] (numeric) = 1.8009646822656142791692143625833
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.08
y[1] (analytic) = 1.8016148375873564315631274878917
y[1] (numeric) = 1.8016148375873564315631274878917
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.081
y[1] (analytic) = 1.8022659464494303876904770840007
y[1] (numeric) = 1.8022659464494303876904770840007
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.082
y[1] (analytic) = 1.8029180082474009007338945429909
y[1] (numeric) = 1.8029180082474009007338945429909
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.083
y[1] (analytic) = 1.80357102237302098156036461867
y[1] (numeric) = 1.80357102237302098156036461867
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.084
y[1] (analytic) = 1.8042249882142343317083709627562
y[1] (numeric) = 1.8042249882142343317083709627562
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.085
y[1] (analytic) = 1.8048799051551777916122738959878
y[1] (numeric) = 1.8048799051551777916122738959878
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.086
y[1] (analytic) = 1.8055357725761838040541275199122
y[1] (numeric) = 1.8055357725761838040541275199121
absolute error = 1e-31
relative error = 5.5385222225377172959051719320265e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.087
y[1] (analytic) = 1.8061925898537828928330823653695
y[1] (numeric) = 1.8061925898537828928330823653695
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.088
y[1] (analytic) = 1.8068503563607061566424589033671
y[1] (numeric) = 1.8068503563607061566424589033671
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.089
y[1] (analytic) = 1.8075090714658877781445164133735
y[1] (numeric) = 1.8075090714658877781445164133735
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.09
y[1] (analytic) = 1.8081687345344675482328809133039
y[1] (numeric) = 1.808168734534467548232880913304
absolute error = 1e-31
relative error = 5.5304573124225640103468929485492e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1152.0MB, alloc=4.6MB, time=51.01
x[1] = 4.091
y[1] (analytic) = 1.8088293449277934054725351048504
y[1] (numeric) = 1.8088293449277934054725351048505
absolute error = 1e-31
relative error = 5.5284375101727408373438737412532e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.092
y[1] (analytic) = 1.8094909020034239907072125775824
y[1] (numeric) = 1.8094909020034239907072125775825
absolute error = 1e-31
relative error = 5.5264162914155827029264637047264e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.093
y[1] (analytic) = 1.8101534051151312168239778456478
y[1] (numeric) = 1.8101534051151312168239778456479
absolute error = 1e-31
relative error = 5.5243936628475804985056976680524e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.094
y[1] (analytic) = 1.8108168536129028536647131621803
y[1] (numeric) = 1.8108168536129028536647131621804
absolute error = 1e-31
relative error = 5.5223696311685055286292243589443e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.095
y[1] (analytic) = 1.8114812468429451280741724689125
y[1] (numeric) = 1.8114812468429451280741724689126
absolute error = 1e-31
relative error = 5.5203442030813344388993409364845e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.096
y[1] (analytic) = 1.8121465841476853390742022922453
y[1] (numeric) = 1.8121465841476853390742022922454
absolute error = 1e-31
relative error = 5.5183173852921742592507957022696e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.097
y[1] (analytic) = 1.8128128648657744881536688923776
y[1] (numeric) = 1.8128128648657744881536688923777
absolute error = 1e-31
relative error = 5.5162891845101875638350902512784e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.098
y[1] (analytic) = 1.813480088332089924663570509294
y[1] (numeric) = 1.8134800883320899246635705092941
absolute error = 1e-31
relative error = 5.5142596074475177487514734381441e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.099
y[1] (analytic) = 1.8141482538777380063067531286893
y[1] (numeric) = 1.8141482538777380063067531286894
absolute error = 1e-31
relative error = 5.5122286608192144288582566096214e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.1
y[1] (analytic) = 1.8148173608300567747115878125136
y[1] (numeric) = 1.8148173608300567747115878125137
absolute error = 1e-31
relative error = 5.5101963513431589548914929614520e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.101
y[1] (analytic) = 1.8154874085126186460789073029967
y[1] (numeric) = 1.8154874085126186460789073029968
absolute error = 1e-31
relative error = 5.5081626857399900521114539889083e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.102
y[1] (analytic) = 1.8161583962452331168914393159922
y[1] (numeric) = 1.8161583962452331168914393159923
absolute error = 1e-31
relative error = 5.5061276707330295816907031863304e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.103
y[1] (analytic) = 1.816830323343949484674913689516
y[1] (numeric) = 1.8168303233439494846749136895162
absolute error = 2e-31
relative error = 1.1008182626096416852101823566067e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1155.9MB, alloc=4.6MB, time=51.17
x[1] = 4.104
y[1] (analytic) = 1.8175031891210595837999603466792
y[1] (numeric) = 1.8175031891210595837999603466794
absolute error = 2e-31
relative error = 1.1004107238827984998697767503977e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.105
y[1] (analytic) = 1.8181769928851005363138548690691
y[1] (numeric) = 1.8181769928851005363138548690692
absolute error = 1e-31
relative error = 5.5000145965613088843055579643798e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.106
y[1] (analytic) = 1.8188517339408575177911083572661
y[1] (numeric) = 1.8188517339408575177911083572662
absolute error = 1e-31
relative error = 5.4979742512234720965650345579489e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.107
y[1] (analytic) = 1.8195274115893665381918381798239
y[1] (numeric) = 1.819527411589366538191838179824
absolute error = 1e-31
relative error = 5.4959325901361104777639307102520e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.108
y[1] (analytic) = 1.8202040251279172377167961809374
y[1] (numeric) = 1.8202040251279172377167961809375
absolute error = 1e-31
relative error = 5.4938896200370927184846084294338e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.109
y[1] (analytic) = 1.8208815738500556976478709304138
y[1] (numeric) = 1.8208815738500556976478709304139
absolute error = 1e-31
relative error = 5.4918453476664545122590340645847e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.11
y[1] (analytic) = 1.8215600570455872661628206576856
y[1] (numeric) = 1.8215600570455872661628206576857
absolute error = 1e-31
relative error = 5.4897997797663253417832263644645e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.111
y[1] (analytic) = 1.8222394740005793991129336147017
y[1] (numeric) = 1.8222394740005793991129336147018
absolute error = 1e-31
relative error = 5.4877529230808553984954274463652e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.112
y[1] (analytic) = 1.8229198239973645157522527608422
y[1] (numeric) = 1.8229198239973645157522527608423
absolute error = 1e-31
relative error = 5.4857047843561426366642893447296e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.113
y[1] (analytic) = 1.8236011063145428694069418567668
y[1] (numeric) = 1.8236011063145428694069418567668
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.114
y[1] (analytic) = 1.8242833202269854330733102935586
y[1] (numeric) = 1.8242833202269854330733102935587
absolute error = 1e-31
relative error = 5.4816046877826825638064595906733e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.115
y[1] (analytic) = 1.8249664650058367999329542689135
y[1] (numeric) = 1.8249664650058367999329542689135
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.116
y[1] (analytic) = 1.8256505399185180987734122536751
y[1] (numeric) = 1.8256505399185180987734122536751
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1159.7MB, alloc=4.6MB, time=51.33
x[1] = 4.117
y[1] (analytic) = 1.8263355442287299243026730699834
y[1] (numeric) = 1.8263355442287299243026730699834
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.118
y[1] (analytic) = 1.8270214771964552823458153269097
y[1] (numeric) = 1.8270214771964552823458153269097
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.119
y[1] (analytic) = 1.8277083380779625499119974309483
y[1] (numeric) = 1.8277083380779625499119974309483
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.12
y[1] (analytic) = 1.8283961261258084501199579073509
y[1] (numeric) = 1.8283961261258084501199579073509
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.121
y[1] (analytic) = 1.8290848405888410419701263342698
y[1] (numeric) = 1.8290848405888410419701263342698
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.122
y[1] (analytic) = 1.8297744807122027249513858052515
y[1] (numeric) = 1.8297744807122027249513858052516
absolute error = 1e-31
relative error = 5.4651543703395088148591004098965e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.123
y[1] (analytic) = 1.8304650457373332584704684970383
y[1] (numeric) = 1.8304650457373332584704684970384
absolute error = 1e-31
relative error = 5.4630925749100443217782151149463e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.124
y[1] (analytic) = 1.8311565349019727960919066291198
y[1] (numeric) = 1.8311565349019727960919066291198
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.125
y[1] (analytic) = 1.8318489474401649345764018592778
y[1] (numeric) = 1.8318489474401649345764018592778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.126
y[1] (analytic) = 1.8325422825822597777054169657118
y[1] (numeric) = 1.8325422825822597777054169657118
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.127
y[1] (analytic) = 1.8332365395549170148797345214626
y[1] (numeric) = 1.8332365395549170148797345214627
absolute error = 1e-31
relative error = 5.4548334512402057815255367409439e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.128
y[1] (analytic) = 1.8339317175811090144796681710059
y[1] (numeric) = 1.833931717581109014479668171006
absolute error = 1e-31
relative error = 5.4527657186657122889148704204372e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.129
y[1] (analytic) = 1.8346278158801239319745530722933
y[1] (numeric) = 1.8346278158801239319745530722934
absolute error = 1e-31
relative error = 5.4506968189636388368463352387308e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.13
y[1] (analytic) = 1.8353248336675688327690830704244
y[1] (numeric) = 1.8353248336675688327690830704245
absolute error = 1e-31
relative error = 5.4486267589028293796125222440246e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=1163.5MB, alloc=4.6MB, time=51.50
TOP MAIN SOLVE Loop
x[1] = 4.131
y[1] (analytic) = 1.8360227701553728297740032217651
y[1] (numeric) = 1.8360227701553728297740032217652
absolute error = 1e-31
relative error = 5.4465555452527166928397060935959e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.132
y[1] (analytic) = 1.8367216245517902356886073899243
y[1] (numeric) = 1.8367216245517902356886073899244
absolute error = 1e-31
relative error = 5.4444831847832523478069474765322e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.133
y[1] (analytic) = 1.8374213960614037299824317878031
y[1] (numeric) = 1.8374213960614037299824317878032
absolute error = 1e-31
relative error = 5.4424096842648368427367709384234e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.134
y[1] (analytic) = 1.8381220838851275405634765431637
y[1] (numeric) = 1.8381220838851275405634765431638
absolute error = 1e-31
relative error = 5.4403350504682498920490695922155e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.135
y[1] (analytic) = 1.8388236872202106401202286190752
y[1] (numeric) = 1.8388236872202106401202286190753
absolute error = 1e-31
relative error = 5.4382592901645808745627048993150e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.136
y[1] (analytic) = 1.8395262052602399571247007254049
y[1] (numeric) = 1.839526205260239957124700725405
absolute error = 1e-31
relative error = 5.4361824101251594416220758607340e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.137
y[1] (analytic) = 1.8402296371951436014836422134826
y[1] (numeric) = 1.8402296371951436014836422134827
absolute error = 1e-31
relative error = 5.4341044171214862861187279221405e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.138
y[1] (analytic) = 1.8409339822111941048250193533934
y[1] (numeric) = 1.8409339822111941048250193533935
absolute error = 1e-31
relative error = 5.4320253179251640733708580208393e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.139
y[1] (analytic) = 1.8416392394910116754068038522996
y[1] (numeric) = 1.8416392394910116754068038522997
absolute error = 1e-31
relative error = 5.4299451193078285348163488376874e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.14
y[1] (analytic) = 1.8423454082135674676350499829768
y[1] (numeric) = 1.8423454082135674676350499829769
absolute error = 1e-31
relative error = 5.4278638280410797254677328126132e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.141
y[1] (analytic) = 1.8430524875541868661781822546154
y[1] (numeric) = 1.8430524875541868661781822546156
absolute error = 2e-31
relative error = 1.0851562901792826892140490375205e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.142
y[1] (analytic) = 1.8437604766845527846643571731155
y[1] (numeric) = 1.8437604766845527846643571731156
absolute error = 1e-31
relative error = 5.4236979946451528308968756036776e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.143
y[1] (analytic) = 1.8444693747727089789487043058257
y[1] (numeric) = 1.8444693747727089789487043058259
absolute error = 2e-31
relative error = 1.0843226932116760204214139890829e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1167.3MB, alloc=4.6MB, time=51.67
x[1] = 4.144
y[1] (analytic) = 1.8451791809830633749371935861815
y[1] (numeric) = 1.8451791809830633749371935861817
absolute error = 2e-31
relative error = 1.0839055743813736983176937087705e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.145
y[1] (analytic) = 1.8458898944763914109538175672079
y[1] (numeric) = 1.845889894476391410953817567208
absolute error = 1e-31
relative error = 5.4174412189610143311937938611257e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.146
y[1] (analytic) = 1.8466015144098393946377191596162
y[1] (numeric) = 1.8466015144098393946377191596164
absolute error = 2e-31
relative error = 1.0830707027981538624555441463258e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.147
y[1] (analytic) = 1.8473140399369278743568372704598
y[1] (numeric) = 1.8473140399369278743568372704599
absolute error = 1e-31
relative error = 5.4132647637655729154312754678170e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.148
y[1] (analytic) = 1.848027470207555025124584692259
y[1] (numeric) = 1.8480274702075550251245846922591
absolute error = 1e-31
relative error = 5.4111749750542850113040169955347e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.149
y[1] (analytic) = 1.8487418043680000490060145804021
y[1] (numeric) = 1.8487418043680000490060145804022
absolute error = 1e-31
relative error = 5.4090841546251186333969540046866e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.15
y[1] (analytic) = 1.8494570415609265899998738986868
y[1] (numeric) = 1.8494570415609265899998738986868
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.151
y[1] (analytic) = 1.8501731809253861633828843093432
y[1] (numeric) = 1.8501731809253861633828843093432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.152
y[1] (analytic) = 1.8508902215968215995025331349877
y[1] (numeric) = 1.8508902215968215995025331349877
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.153
y[1] (analytic) = 1.8516081627070705020045992259344
y[1] (numeric) = 1.8516081627070705020045992259344
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.154
y[1] (analytic) = 1.852327003384368720481580827372
y[1] (numeric) = 1.852327003384368720481580827372
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.155
y[1] (analytic) = 1.8530467427533538375281348573256
y[1] (numeric) = 1.8530467427533538375281348573257
absolute error = 1e-31
relative error = 5.3965179448962396961074466103149e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.156
y[1] (analytic) = 1.8537673799350686701895793782947
y[1] (numeric) = 1.8537673799350686701895793782947
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1171.1MB, alloc=4.6MB, time=51.83
x[1] = 4.157
y[1] (analytic) = 1.8544889140469647857894534732261
y[1] (numeric) = 1.8544889140469647857894534732262
absolute error = 1e-31
relative error = 5.3923212612673244522057383035499e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.158
y[1] (analytic) = 1.8552113442029060321220712202718
y[1] (numeric) = 1.8552113442029060321220712202719
absolute error = 1e-31
relative error = 5.3902214598070566516174298134775e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.159
y[1] (analytic) = 1.8559346695131720819959490008198
y[1] (numeric) = 1.8559346695131720819959490008199
absolute error = 1e-31
relative error = 5.3881206942607993736878285595168e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.16
y[1] (analytic) = 1.8566588890844619921139279718177
y[1] (numeric) = 1.8566588890844619921139279718178
absolute error = 1e-31
relative error = 5.3860189713852634931226677407971e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.161
y[1] (analytic) = 1.8573840020198977762757561866421
y[1] (numeric) = 1.8573840020198977762757561866422
absolute error = 1e-31
relative error = 5.3839162979357200461212315064424e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.162
y[1] (analytic) = 1.8581100074190279928888375589511
y[1] (numeric) = 1.8581100074190279928888375589512
absolute error = 1e-31
relative error = 5.3818126806659353158076278828200e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.163
y[1] (analytic) = 1.8588369043778313467727976313066
y[1] (numeric) = 1.8588369043778313467727976313068
absolute error = 2e-31
relative error = 1.0759416252656212202450320985231e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.164
y[1] (analytic) = 1.8595646919887203052434589351061
y[1] (numeric) = 1.8595646919887203052434589351062
absolute error = 1e-31
relative error = 5.3776026416727951706667691487644e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.165
y[1] (analytic) = 1.8602933693405447284617616107431
y[1] (numeric) = 1.8602933693405447284617616107432
absolute error = 1e-31
relative error = 5.3754962334488669001071590232035e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.166
y[1] (analytic) = 1.861022935518595514033107897156
y[1] (numeric) = 1.8610229355185955140331078971562
absolute error = 2e-31
relative error = 1.0746777816806846194989774558621e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.167
y[1] (analytic) = 1.8617533896046082558425520982452
y[1] (numeric) = 1.8617533896046082558425520982453
absolute error = 1e-31
relative error = 5.3712806732817390136553251361107e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.168
y[1] (analytic) = 1.862484730676766917111200690277
y[1] (numeric) = 1.8624847306767669171112006902772
absolute error = 2e-31
relative error = 1.0738343069654399081096125237291e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.169
y[1] (analytic) = 1.8632169578097075176591303495735
y[1] (numeric) = 1.8632169578097075176591303495737
absolute error = 2e-31
relative error = 1.0734122999562471195229946115749e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1174.9MB, alloc=4.6MB, time=52.00
x[1] = 4.17
y[1] (analytic) = 1.8639500700745218353600748537294
y[1] (numeric) = 1.8639500700745218353600748537296
absolute error = 2e-31
relative error = 1.0729901149766521413895610098417e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.171
y[1] (analytic) = 1.8646840665387611217730750425461
y[1] (numeric) = 1.8646840665387611217730750425463
absolute error = 2e-31
relative error = 1.0725677533741215515993642747719e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.172
y[1] (analytic) = 1.8654189462664398319362293170363
y[1] (numeric) = 1.8654189462664398319362293170365
absolute error = 2e-31
relative error = 1.0721452164956931925069315285903e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.173
y[1] (analytic) = 1.8661547083180393683076255064701
y[1] (numeric) = 1.8661547083180393683076255064703
absolute error = 2e-31
relative error = 1.0717225056879636001164456900989e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.174
y[1] (analytic) = 1.8668913517505118388384783447273
y[1] (numeric) = 1.8668913517505118388384783447275
absolute error = 2e-31
relative error = 1.0712996222970754715992331852496e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.175
y[1] (analytic) = 1.8676288756172838291634402684166
y[1] (numeric) = 1.8676288756172838291634402684168
absolute error = 2e-31
relative error = 1.0708765676687051712819870140089e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.176
y[1] (analytic) = 1.8683672789682601888929967805487
y[1] (numeric) = 1.8683672789682601888929967805489
absolute error = 2e-31
relative error = 1.0704533431480502752426864861317e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.177
y[1] (analytic) = 1.8691065608498278319928012152288
y[1] (numeric) = 1.869106560849827831992801215229
absolute error = 2e-31
relative error = 1.0700299500798171546497079737482e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.178
y[1] (analytic) = 1.8698467203048595512347473910986
y[1] (numeric) = 1.8698467203048595512347473910988
absolute error = 2e-31
relative error = 1.0696063898082085979781547233969e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.179
y[1] (analytic) = 1.8705877563727178467045223543211
y[1] (numeric) = 1.8705877563727178467045223543213
absolute error = 2e-31
relative error = 1.0691826636769114722359681844954e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.18
y[1] (analytic) = 1.8713296680892587683503251860038
y[1] (numeric) = 1.8713296680892587683503251860039
absolute error = 1e-31
relative error = 5.3437938651454221166545925254119e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.181
y[1] (analytic) = 1.8720724544868357725573816843064
y[1] (numeric) = 1.8720724544868357725573816843065
absolute error = 1e-31
relative error = 5.3416735960367280785405393927962e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.182
y[1] (analytic) = 1.8728161145943035927328286283188
y[1] (numeric) = 1.8728161145943035927328286283189
absolute error = 1e-31
relative error = 5.3395525177688025569307867816886e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.183
y[1] (analytic) = 1.8735606474370221238854852893307
y[1] (numeric) = 1.8735606474370221238854852893308
absolute error = 1e-31
relative error = 5.3374306370491484425939281485909e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=1178.7MB, alloc=4.6MB, time=52.16
TOP MAIN SOLVE Loop
x[1] = 4.184
y[1] (analytic) = 1.8743060520368603211849738755881
y[1] (numeric) = 1.8743060520368603211849738755882
absolute error = 1e-31
relative error = 5.3353079605823834980351359428851e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.185
y[1] (analytic) = 1.8750523274122001124845946792519
y[1] (numeric) = 1.8750523274122001124845946792519
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.186
y[1] (analytic) = 1.8757994725779403247923058392745
y[1] (numeric) = 1.8757994725779403247923058392746
absolute error = 1e-31
relative error = 5.3310602472112036660384595168657e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.187
y[1] (analytic) = 1.8765474865455006246741018415127
y[1] (numeric) = 1.8765474865455006246741018415128
absolute error = 1e-31
relative error = 5.3289352237010550697160720943316e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.188
y[1] (analytic) = 1.8772963683228254725740291478134
y[1] (numeric) = 1.8772963683228254725740291478135
absolute error = 1e-31
relative error = 5.3268094312322082050982090677609e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.189
y[1] (analytic) = 1.8780461169143880910350216792851
y[1] (numeric) = 1.8780461169143880910350216792852
absolute error = 1e-31
relative error = 5.3246828764939515410684556061884e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.19
y[1] (analytic) = 1.8787967313211944468046832757025
y[1] (numeric) = 1.8787967313211944468046832757026
absolute error = 1e-31
relative error = 5.3225555661723283620808531218991e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.191
y[1] (analytic) = 1.8795482105407872468100887132244
y[1] (numeric) = 1.8795482105407872468100887132245
absolute error = 1e-31
relative error = 5.3204275069500774639155456809983e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.192
y[1] (analytic) = 1.8803005535672499479856193865489
y[1] (numeric) = 1.8803005535672499479856193865489
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.193
y[1] (analytic) = 1.8810537593912107809377943495088
y[1] (numeric) = 1.8810537593912107809377943495088
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.194
y[1] (analytic) = 1.8818078269998467874310020601493
y[1] (numeric) = 1.8818078269998467874310020601494
absolute error = 1e-31
relative error = 5.3140389026561393814162464636856e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.195
y[1] (analytic) = 1.8825627553768878716779828927435
y[1] (numeric) = 1.8825627553768878716779828927435
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.196
y[1] (analytic) = 1.8833185435026208654188572602163
y[1] (numeric) = 1.8833185435026208654188572602164
absolute error = 1e-31
relative error = 5.3097762109865211929012976848217e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1182.6MB, alloc=4.6MB, time=52.33
x[1] = 4.197
y[1] (analytic) = 1.8840751903538936067724390362875
y[1] (numeric) = 1.8840751903538936067724390362875
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.198
y[1] (analytic) = 1.8848326949041190328435188775146
y[1] (numeric) = 1.8848326949041190328435188775146
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.199
y[1] (analytic) = 1.8855910561232792860697470215631
y[1] (numeric) = 1.885591056123279286069747021563
absolute error = 1e-31
relative error = 5.3033768735410269602334469089036e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.2
y[1] (analytic) = 1.8863502729779298342916901796444
y[1] (numeric) = 1.8863502729779298342916901796443
absolute error = 1e-31
relative error = 5.3012423743620383793175213703345e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.201
y[1] (analytic) = 1.8871103444312036045295822483905
y[1] (numeric) = 1.8871103444312036045295822483904
absolute error = 1e-31
relative error = 5.2991071929151620810713683114185e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.202
y[1] (analytic) = 1.8878712694428151304502337396718
y[1] (numeric) = 1.8878712694428151304502337396717
absolute error = 1e-31
relative error = 5.2969713358429318556081925611988e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.203
y[1] (analytic) = 1.8886330469690647135075100662514
y[1] (numeric) = 1.8886330469690647135075100662513
absolute error = 1e-31
relative error = 5.2948348097838813427111830116182e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.204
y[1] (analytic) = 1.8893956759628425977397341269111
y[1] (numeric) = 1.889395675962842597739734126911
absolute error = 1e-31
relative error = 5.2926976213724874082750308325524e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.205
y[1] (analytic) = 1.8901591553736331582073140070049
y[1] (numeric) = 1.8901591553736331582073140070048
absolute error = 1e-31
relative error = 5.2905597772391137304760806076368e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.206
y[1] (analytic) = 1.8909234841475191030538420495129
y[1] (numeric) = 1.8909234841475191030538420495129
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.207
y[1] (analytic) = 1.8916886612271856891738570578043
y[1] (numeric) = 1.8916886612271856891738570578043
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.208
y[1] (analytic) = 1.8924546855519249514704069646785
y[1] (numeric) = 1.8924546855519249514704069646785
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.209
y[1] (analytic) = 1.8932215560576399456854949430757
y[1] (numeric) = 1.8932215560576399456854949430757
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1186.4MB, alloc=4.6MB, time=52.50
x[1] = 4.21
y[1] (analytic) = 1.8939892716768490047864376423276
y[1] (numeric) = 1.8939892716768490047864376423276
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.211
y[1] (analytic) = 1.894757831338690008891110010191
y[1] (numeric) = 1.894757831338690008891110010191
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.212
y[1] (analytic) = 1.8955272339689246687149970053788
y[1] (numeric) = 1.8955272339689246687149970053788
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.213
y[1] (analytic) = 1.8962974784899428225229184180919
y[1] (numeric) = 1.896297478489942822522918418092
absolute error = 1e-31
relative error = 5.2734342124228247049203943151519e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.214
y[1] (analytic) = 1.8970685638207667465682389973829
y[1] (numeric) = 1.897068563820766746568238997383
absolute error = 1e-31
relative error = 5.2712907644516693353933343875750e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.215
y[1] (analytic) = 1.8978404888770554790023221342571
y[1] (numeric) = 1.8978404888770554790023221342572
absolute error = 1e-31
relative error = 5.2691467268236855075315132029824e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.216
y[1] (analytic) = 1.8986132525711091572369314684632
y[1] (numeric) = 1.8986132525711091572369314684633
absolute error = 1e-31
relative error = 5.2670021061203289578684958240812e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.217
y[1] (analytic) = 1.8993868538118733687422309751482
y[1] (numeric) = 1.8993868538118733687422309751483
absolute error = 1e-31
relative error = 5.2648569089182817911242567961192e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.218
y[1] (analytic) = 1.900161291504943515262980345179
y[1] (numeric) = 1.9001612915049435152629803451791
absolute error = 1e-31
relative error = 5.2627111417893988328021402531470e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.219
y[1] (analytic) = 1.9009365645525691904354688001672
y[1] (numeric) = 1.9009365645525691904354688001672
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.22
y[1] (analytic) = 1.9017126718536585707876768802984
y[1] (numeric) = 1.9017126718536585707876768802985
absolute error = 1e-31
relative error = 5.2584179240140880727096079228385e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.221
y[1] (analytic) = 1.9024896123037828201051022101754
y[1] (numeric) = 1.9024896123037828201051022101755
absolute error = 1e-31
relative error = 5.2562704864867537202509762859127e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.222
y[1] (analytic) = 1.9032673847951805071446317852416
y[1] (numeric) = 1.9032673847951805071446317852417
absolute error = 1e-31
relative error = 5.2541225052706646927223597919853e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.223
y[1] (analytic) = 1.9040459882167620366787899291888
y[1] (numeric) = 1.9040459882167620366787899291889
absolute error = 1e-31
relative error = 5.2519739869127422682885165591413e-30 %
Correct digits = 31
h = 0.001
memory used=1190.2MB, alloc=4.6MB, time=52.66
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.224
y[1] (analytic) = 1.9048254214541140938526377512634
y[1] (numeric) = 1.9048254214541140938526377512635
absolute error = 1e-31
relative error = 5.2498249379547631023639580821805e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.225
y[1] (analytic) = 1.9056056833895041018355466818006
y[1] (numeric) = 1.9056056833895041018355466818007
absolute error = 1e-31
relative error = 5.2476753649333070971205366392909e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.226
y[1] (analytic) = 1.9063867729018846927500154848348
y[1] (numeric) = 1.9063867729018846927500154848349
absolute error = 1e-31
relative error = 5.2455252743797054890620163420172e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.227
y[1] (analytic) = 1.90716868886689819185964703848
y[1] (numeric) = 1.9071686888668981918596470384802
absolute error = 2e-31
relative error = 1.0486749345639978309972843916334e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.228
y[1] (analytic) = 1.9079514301568811149983481371521
y[1] (numeric) = 1.9079514301568811149983481371523
absolute error = 2e-31
relative error = 1.0482447133549674273300284565993e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.229
y[1] (analytic) = 1.9087349956408686792227626048295
y[1] (numeric) = 1.9087349956408686792227626048297
absolute error = 2e-31
relative error = 1.0478143925519050768881927954480e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.23
y[1] (analytic) = 1.9095193841845993266698951156353
y[1] (numeric) = 1.9095193841845993266698951156355
absolute error = 2e-31
relative error = 1.0473839734567751440720855286470e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.231
y[1] (analytic) = 1.9103045946505192616018302972762
y[1] (numeric) = 1.9103045946505192616018302972765
absolute error = 3e-31
relative error = 1.5704301860556615061827392047859e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.232
y[1] (analytic) = 1.9110906258977870006193989445124
y[1] (numeric) = 1.9110906258977870006193989445127
absolute error = 3e-31
relative error = 1.5697842683889823854185554137130e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.233
y[1] (analytic) = 1.9118774767822779360265904940587
y[1] (numeric) = 1.911877476782277936026590494059
absolute error = 3e-31
relative error = 1.5691382091330719774737907649764e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.234
y[1] (analytic) = 1.9126651461565889123274583093536
y[1] (numeric) = 1.9126651461565889123274583093539
absolute error = 3e-31
relative error = 1.5684920102341800827289823650749e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.235
y[1] (analytic) = 1.9134536328700428158372117936757
y[1] (numeric) = 1.9134536328700428158372117936761
absolute error = 4e-31
relative error = 2.0904608981824595965687586365308e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.236
y[1] (analytic) = 1.9142429357686931773891368933594
y[1] (numeric) = 1.9142429357686931773891368933598
absolute error = 4e-31
relative error = 2.0895989350451694654686929833882e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1194.0MB, alloc=4.6MB, time=52.83
x[1] = 4.237
y[1] (analytic) = 1.9150330536953287881189341695636
y[1] (numeric) = 1.915033053695328788118934169564
absolute error = 4e-31
relative error = 2.0887367934884626645053727892684e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.238
y[1] (analytic) = 1.9158239854894783283080113073968
y[1] (numeric) = 1.9158239854894783283080113073972
absolute error = 4e-31
relative error = 2.0878744760980903429510732573253e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.239
y[1] (analytic) = 1.9166157299874150092672146953999
y[1] (numeric) = 1.9166157299874150092672146954003
absolute error = 4e-31
relative error = 2.0870119854574422315193008299983e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.24
y[1] (analytic) = 1.9174082860221612282424325466492
y[1] (numeric) = 1.9174082860221612282424325466496
absolute error = 4e-31
relative error = 2.0861493241475271108115834296116e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.241
y[1] (analytic) = 1.9182016524234932363234499452739
y[1] (numeric) = 1.9182016524234932363234499452743
absolute error = 4e-31
relative error = 2.0852864947469533686326060541681e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.242
y[1] (analytic) = 1.918995828017945819337384189192
y[1] (numeric) = 1.9189958280179458193373841891924
absolute error = 4e-31
relative error = 2.0844234998319096462618356909947e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.243
y[1] (analytic) = 1.9197908116288169917079768615641
y[1] (numeric) = 1.9197908116288169917079768615645
absolute error = 4e-31
relative error = 2.0835603419761455737671601110367e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.244
y[1] (analytic) = 1.9205866020761727032619672000556
y[1] (numeric) = 1.920586602076172703261967200056
absolute error = 4e-31
relative error = 2.0826970237509525944434534976415e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.245
y[1] (analytic) = 1.9213831981768515589637195446894
y[1] (numeric) = 1.9213831981768515589637195446897
absolute error = 3e-31
relative error = 1.5613751607938586588422835892324e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.246
y[1] (analytic) = 1.9221805987444695515592259320715
y[1] (numeric) = 1.9221805987444695515592259320719
absolute error = 4e-31
relative error = 2.0809699164650403257691354453729e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.247
y[1] (analytic) = 1.9229788025894248071105532662918
y[1] (numeric) = 1.9229788025894248071105532662922
absolute error = 4e-31
relative error = 2.0801061325344416584272923136692e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.248
y[1] (analytic) = 1.9237778085189023434017529350352
y[1] (numeric) = 1.9237778085189023434017529350356
absolute error = 4e-31
relative error = 2.0792421984946176022742280211378e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.249
y[1] (analytic) = 1.9245776153368788411971992536122
y[1] (numeric) = 1.9245776153368788411971992536126
absolute error = 4e-31
relative error = 2.0783781169042841581671766620254e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1197.8MB, alloc=4.6MB, time=52.99
x[1] = 4.25
y[1] (analytic) = 1.9253782218441274283332717099152
y[1] (numeric) = 1.9253782218441274283332717099156
absolute error = 4e-31
relative error = 2.0775138903195859627612756697065e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.251
y[1] (analytic) = 1.9261796268382224766242446499509
y[1] (numeric) = 1.9261796268382224766242446499513
absolute error = 4e-31
relative error = 2.0766495212940777389264764656220e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.252
y[1] (analytic) = 1.9269818291135444115631967867856
y[1] (numeric) = 1.926981829113544411563196786786
absolute error = 4e-31
relative error = 2.0757850123787058358596264105694e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.253
y[1] (analytic) = 1.9277848274612845347987017356789
y[1] (numeric) = 1.9277848274612845347987017356794
absolute error = 5e-31
relative error = 2.5936504576522373236893662146317e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.254
y[1] (analytic) = 1.928588620669449859368009675073
y[1] (numeric) = 1.9285886206694498593680096750735
absolute error = 5e-31
relative error = 2.5925694813362554868324640328539e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.255
y[1] (analytic) = 1.929393207522867957667379207158
y[1] (numeric) = 1.9293932075228679576673792071584
absolute error = 4e-31
relative error = 2.0731906717633607940861945863239e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.256
y[1] (analytic) = 1.9301985868031918221401675431499
y[1] (numeric) = 1.9301985868031918221401675431503
absolute error = 4e-31
relative error = 2.0723256287451891243797560120413e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.257
y[1] (analytic) = 1.9310047572889047386632362674022
y[1] (numeric) = 1.9310047572889047386632362674026
absolute error = 4e-31
relative error = 2.0714604585521201062327430500281e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.258
y[1] (analytic) = 1.931811717755325172612179141224
y[1] (numeric) = 1.9318117177553251726121791412244
absolute error = 4e-31
relative error = 2.0705951637190672192997948483583e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.259
y[1] (analytic) = 1.93261946697461166758582769201
y[1] (numeric) = 1.9326194669746116675858276920104
absolute error = 4e-31
relative error = 2.0697297467782088665149029274510e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.26
y[1] (analytic) = 1.9334280037157677567704396961909
y[1] (numeric) = 1.9334280037157677567704396961913
absolute error = 4e-31
relative error = 2.0688642102589706337051999846465e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.261
y[1] (analytic) = 1.9342373267446468869239251057986
y[1] (numeric) = 1.934237326744646886923925105799
absolute error = 4e-31
relative error = 2.0679985566880076393475124430188e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.262
y[1] (analytic) = 1.9350474348239573549604134883083
y[1] (numeric) = 1.9350474348239573549604134883087
absolute error = 4e-31
relative error = 2.0671327885891869745049928813219e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1201.6MB, alloc=4.6MB, time=53.15
x[1] = 4.263
y[1] (analytic) = 1.9358583267132672571154166480692
y[1] (numeric) = 1.9358583267132672571154166480696
absolute error = 4e-31
relative error = 2.0662669084835702329786979616828e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.264
y[1] (analytic) = 1.936670001169009450671789775273
y[1] (numeric) = 1.9366700011690094506717897752734
absolute error = 4e-31
relative error = 2.0654009188893961317065360634968e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.265
y[1] (analytic) = 1.9374824569444865282266442252304
y[1] (numeric) = 1.9374824569444865282266442252308
absolute error = 4e-31
relative error = 2.0645348223220632214395765939878e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.266
y[1] (analytic) = 1.9382956927898758044793148669375
y[1] (numeric) = 1.9382956927898758044793148669379
absolute error = 4e-31
relative error = 2.0636686212941126877232899353208e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.267
y[1] (analytic) = 1.9391097074522343155204348557116
y[1] (numeric) = 1.939109707452234315520434855712
absolute error = 4e-31
relative error = 2.0628023183152112422088732614990e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.268
y[1] (analytic) = 1.9399244996755038306021206802626
y[1] (numeric) = 1.939924499675503830602120680263
absolute error = 4e-31
relative error = 2.0619359158921341043174130713038e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.269
y[1] (analytic) = 1.9407400682005158763692204101427
y[1] (numeric) = 1.9407400682005158763692204101431
absolute error = 4e-31
relative error = 2.0610694165287480732772402912022e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.27
y[1] (analytic) = 1.9415564117649967735315282252802
y[1] (numeric) = 1.9415564117649967735315282252806
absolute error = 4e-31
relative error = 2.0602028227259946905524482587034e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.271
y[1] (analytic) = 1.9423735291035726859568185454549
y[1] (numeric) = 1.9423735291035726859568185454553
absolute error = 4e-31
relative error = 2.0593361369818734926781678555522e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.272
y[1] (analytic) = 1.9431914189477746821645033943103
y[1] (numeric) = 1.9431914189477746821645033943107
absolute error = 4e-31
relative error = 2.0584693617914253545158275741204e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.273
y[1] (analytic) = 1.9440100800260438091996670300226
y[1] (numeric) = 1.944010080026043809199667030023
absolute error = 4e-31
relative error = 2.0576024996467159229392694213572e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.274
y[1] (analytic) = 1.9448295110637361788671823532523
y[1] (numeric) = 1.9448295110637361788671823532527
absolute error = 4e-31
relative error = 2.0567355530368191409602443438950e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.275
y[1] (analytic) = 1.945649710783128066305564162695
y[1] (numeric) = 1.9456497107831280663055641626955
absolute error = 5e-31
relative error = 2.5698356555597510778743416822898e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1205.4MB, alloc=4.6MB, time=53.32
x[1] = 4.276
y[1] (analytic) = 1.9464706779034210208801649696163
y[1] (numeric) = 1.9464706779034210208801649696168
absolute error = 5e-31
relative error = 2.5687517704533781955089158962833e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.277
y[1] (analytic) = 1.9472924111407469893752698054018
y[1] (numeric) = 1.9472924111407469893752698054022
absolute error = 4e-31
relative error = 2.0541342312615251039343038434091e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.278
y[1] (analytic) = 1.9481149092081734514645972605741
y[1] (numeric) = 1.9481149092081734514645972605745
absolute error = 4e-31
relative error = 2.0532669716212126826546199800190e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.279
y[1] (analytic) = 1.9489381708157085674396648801206
y[1] (numeric) = 1.948938170815708567439664880121
absolute error = 4e-31
relative error = 2.0523996399156367438330441797198e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.28
y[1] (analytic) = 1.9497621946703063381754280085327
y[1] (numeric) = 1.9497621946703063381754280085331
absolute error = 4e-31
relative error = 2.0515322386155800790364243324816e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.281
y[1] (analytic) = 1.9505869794758717773125522288821
y[1] (numeric) = 1.9505869794758717773125522288825
absolute error = 4e-31
relative error = 2.0506647701887209773781930277744e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.282
y[1] (analytic) = 1.9514125239332660956356306737406
y[1] (numeric) = 1.951412523933266095635630673741
absolute error = 4e-31
relative error = 2.0497972370996174731873117511788e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.283
y[1] (analytic) = 1.952238826740311897626608701986
y[1] (numeric) = 1.9522388267403118976266087019865
absolute error = 5e-31
relative error = 2.5611620522621146051116260128691e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.284
y[1] (analytic) = 1.9530658865917983901726297347253
y[1] (numeric) = 1.9530658865917983901726297347257
absolute error = 4e-31
relative error = 2.0480619867772142394849483981563e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.285
y[1] (analytic) = 1.9538937021794866034074674258948
y[1] (numeric) = 1.9538937021794866034074674258952
absolute error = 4e-31
relative error = 2.0471942744572887994100543876385e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.286
y[1] (analytic) = 1.9547222721921146236656608087722
y[1] (numeric) = 1.9547222721921146236656608087726
absolute error = 4e-31
relative error = 2.0463265073018366637573368500874e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.287
y[1] (analytic) = 1.9555515953154028385284206088352
y[1] (numeric) = 1.9555515953154028385284206088356
absolute error = 4e-31
relative error = 2.0454586877595814718394119470709e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.288
y[1] (analytic) = 1.9563816702320591939403265463355
y[1] (numeric) = 1.9563816702320591939403265463359
absolute error = 4e-31
relative error = 2.0445908182760339922695507966473e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.289
y[1] (analytic) = 1.9572124956217844633757871688089
y[1] (numeric) = 1.9572124956217844633757871688093
memory used=1209.3MB, alloc=4.6MB, time=53.49
absolute error = 4e-31
relative error = 2.0437229012934770031347202048677e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.29
y[1] (analytic) = 1.9580440701612775290341855547072
y[1] (numeric) = 1.9580440701612775290341855547076
absolute error = 4e-31
relative error = 2.0428549392509502624332278187632e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.291
y[1] (analytic) = 1.9588763925242406750425861146103
y[1] (numeric) = 1.9588763925242406750425861146107
absolute error = 4e-31
relative error = 2.0419869345842355687471163374213e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.292
y[1] (analytic) = 1.9597094613813848926448296862505
y[1] (numeric) = 1.9597094613813848926448296862509
absolute error = 4e-31
relative error = 2.0411188897258419121172859508261e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.293
y[1] (analytic) = 1.9605432754004351973557961740398
y[1] (numeric) = 1.9605432754004351973557961740402
absolute error = 4e-31
relative error = 2.0402508071049907150871691990942e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.294
y[1] (analytic) = 1.9613778332461359580595661231417
y[1] (numeric) = 1.9613778332461359580595661231421
absolute error = 4e-31
relative error = 2.0393826891476011638786379940351e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.295
y[1] (analytic) = 1.9622131335802562380301648425446
y[1] (numeric) = 1.9622131335802562380301648425449
absolute error = 3e-31
relative error = 1.5288859037072067222462664922481e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.296
y[1] (analytic) = 1.9630491750615951478535250012827
y[1] (numeric) = 1.9630491750615951478535250012831
absolute error = 4e-31
relative error = 2.0376463569102851798773275300849e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.297
y[1] (analytic) = 1.9638859563459872102292560170918
y[1] (numeric) = 1.9638859563459872102292560170922
absolute error = 4e-31
relative error = 2.0367781474655551795709670763243e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.298
y[1] (analytic) = 1.9647234760863077366307610375736
y[1] (numeric) = 1.964723476086307736630761037574
absolute error = 4e-31
relative error = 2.0359099123546509826915403518548e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.299
y[1] (analytic) = 1.9655617329324782158021948805713
y[1] (numeric) = 1.9655617329324782158021948805717
absolute error = 4e-31
relative error = 2.0350416539867637133094504825295e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.3
y[1] (analytic) = 1.9664007255314717140707089531091
y[1] (numeric) = 1.9664007255314717140707089531095
absolute error = 4e-31
relative error = 2.0341733747676961367043911726702e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.301
y[1] (analytic) = 1.9672404525273182874523819071151
y[1] (numeric) = 1.9672404525273182874523819071155
absolute error = 4e-31
relative error = 2.0333050770998486202720044865535e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.302
y[1] (analytic) = 1.9680809125611104055301876154225
y[1] (numeric) = 1.9680809125611104055301876154229
absolute error = 4e-31
relative error = 2.0324367633822051841962831242722e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1213.1MB, alloc=4.6MB, time=53.65
TOP MAIN SOLVE Loop
x[1] = 4.303
y[1] (analytic) = 1.9689221042710083870823049634087
y[1] (numeric) = 1.9689221042710083870823049634091
absolute error = 4e-31
relative error = 2.0315684360103196418325762229974e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.304
y[1] (analytic) = 1.9697640262922458474390269502802
y[1] (numeric) = 1.9697640262922458474390269502805
absolute error = 3e-31
relative error = 1.5230250730322263723080152812759e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.305
y[1] (analytic) = 1.9706066772571351575464796796298
y[1] (numeric) = 1.9706066772571351575464796796302
absolute error = 4e-31
relative error = 2.0298317498688039273321910947593e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.306
y[1] (analytic) = 1.971450055795072914715314991671
y[1] (numeric) = 1.9714500557950729147153149916713
absolute error = 3e-31
relative error = 1.5217225469047551495005658116281e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.307
y[1] (analytic) = 1.9722941605325454250324937496694
y[1] (numeric) = 1.9722941605325454250324937496698
absolute error = 4e-31
relative error = 2.0280950377706068277888936820277e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.308
y[1] (analytic) = 1.9731389900931341974142301407528
y[1] (numeric) = 1.9731389900931341974142301407532
absolute error = 4e-31
relative error = 2.0272266779398018334092929509063e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.309
y[1] (analytic) = 1.9739845430975214492781207866434
y[1] (numeric) = 1.9739845430975214492781207866438
absolute error = 4e-31
relative error = 2.0263583187552784196234757459731e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.31
y[1] (analytic) = 1.9748308181634956238124359831403
y[1] (numeric) = 1.9748308181634956238124359831407
absolute error = 4e-31
relative error = 2.0254899625881984058853262639767e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.311
y[1] (analytic) = 1.9756778139059569188205039985415
y[1] (numeric) = 1.9756778139059569188205039985418
absolute error = 3e-31
relative error = 1.5184662088546393126362446336320e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.312
y[1] (analytic) = 1.9765255289369228271180730608405
y[1] (numeric) = 1.9765255289369228271180730608408
absolute error = 3e-31
relative error = 1.5178149515799851204975679763459e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.313
y[1] (analytic) = 1.9773739618655336884614894516378
y[1] (numeric) = 1.9773739618655336884614894516382
absolute error = 4e-31
relative error = 2.0228849358500907963258485723275e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.314
y[1] (analytic) = 1.9782231112980582529844840014557
y[1] (numeric) = 1.9782231112980582529844840014561
absolute error = 4e-31
relative error = 2.0220166153934500566605851241266e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.315
y[1] (analytic) = 1.9790729758378992561213132467295
y[1] (numeric) = 1.9790729758378992561213132467299
absolute error = 4e-31
relative error = 2.0211483097567341268676476523203e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1216.9MB, alloc=4.6MB, time=53.81
x[1] = 4.316
y[1] (analytic) = 1.9799235540855990049939555633438
y[1] (numeric) = 1.9799235540855990049939555633442
absolute error = 4e-31
relative error = 2.0202800212896836118797118571350e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.317
y[1] (analytic) = 1.9807748446388449762410167353771
y[1] (numeric) = 1.9807748446388449762410167353775
absolute error = 4e-31
relative error = 2.0194117523384242591161105145661e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.318
y[1] (analytic) = 1.981626846092475425265953650897
y[1] (numeric) = 1.9816268460924754252659536508973
absolute error = 3e-31
relative error = 1.5139076289340908274114835002143e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.319
y[1] (analytic) = 1.9824795570384850068821791393893
y[1] (numeric) = 1.9824795570384850068821791393896
absolute error = 3e-31
relative error = 1.5132564617622245244945941883873e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.32
y[1] (analytic) = 1.9833329760660304073325653778973
y[1] (numeric) = 1.9833329760660304073325653778976
absolute error = 3e-31
relative error = 1.5126053144896240836520266511501e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.321
y[1] (analytic) = 1.9841871017614359876608177953651
y[1] (numeric) = 1.9841871017614359876608177953654
absolute error = 3e-31
relative error = 1.5119541888649459922598847722794e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.322
y[1] (analytic) = 1.9850419327081994384121459972155
y[1] (numeric) = 1.9850419327081994384121459972158
absolute error = 3e-31
relative error = 1.5113030866340893008275228353093e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.323
y[1] (analytic) = 1.9858974674869974456406129150172
y[1] (numeric) = 1.9858974674869974456406129150175
absolute error = 3e-31
relative error = 1.5106520095401865629662290775277e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.324
y[1] (analytic) = 1.9867537046756913682004981594006
y[1] (numeric) = 1.9867537046756913682004981594009
absolute error = 3e-31
relative error = 1.5100009593235948414321292408560e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.325
y[1] (analytic) = 1.9876106428493329262989664183368
y[1] (numeric) = 1.9876106428493329262989664183371
absolute error = 3e-31
relative error = 1.5093499377218867801702518665925e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.326
y[1] (analytic) = 1.9884682805801699012872866976928
y[1] (numeric) = 1.9884682805801699012872866976931
absolute error = 3e-31
relative error = 1.5086989464698417422853526628791e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.327
y[1] (analytic) = 1.9893266164376518466678032467843
y[1] (numeric) = 1.9893266164376518466678032467846
absolute error = 3e-31
relative error = 1.5080479872994370138637593606181e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.328
y[1] (analytic) = 1.9901856489884358102938141486578
y[1] (numeric) = 1.990185648988435810293814148658
absolute error = 2e-31
relative error = 1.0049313746265593823794473836288e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1220.7MB, alloc=4.6MB, time=53.98
x[1] = 4.329
y[1] (analytic) = 1.9910453767963920677394687832166
y[1] (numeric) = 1.9910453767963920677394687832168
absolute error = 2e-31
relative error = 1.0044974480782632852893515465434e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.33
y[1] (analytic) = 1.9919057984226098668167506912464
y[1] (numeric) = 1.9919057984226098668167506912466
absolute error = 2e-31
relative error = 1.0040635463704156748445009796273e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.331
y[1] (analytic) = 1.9927669124254031832165677790671
y[1] (numeric) = 1.9927669124254031832165677790674
absolute error = 3e-31
relative error = 1.5054445059752071570938716906597e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.332
y[1] (analytic) = 1.9936287173603164872509273071253
y[1] (numeric) = 1.9936287173603164872509273071256
absolute error = 3e-31
relative error = 1.5047937330939831200547290883151e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.333
y[1] (analytic) = 1.9944912117801305216731287015155
y[1] (numeric) = 1.9944912117801305216731287015158
absolute error = 3e-31
relative error = 1.5041430026269351831651981446973e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.334
y[1] (analytic) = 1.9953543942348680905528629153635
y[1] (numeric) = 1.9953543942348680905528629153638
absolute error = 3e-31
relative error = 1.5034923162861853153655683965610e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.335
y[1] (analytic) = 1.9962182632717998591830628473926
y[1] (numeric) = 1.9962182632717998591830628473928
absolute error = 2e-31
relative error = 1.0018944505206569335109791638978e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.336
y[1] (analytic) = 1.9970828174354501649953051980036
y[1] (numeric) = 1.9970828174354501649953051980038
absolute error = 2e-31
relative error = 1.0014607218784726860036378845515e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.337
y[1] (analytic) = 1.9979480552676028394605201090105
y[1] (numeric) = 1.9979480552676028394605201090107
absolute error = 2e-31
relative error = 1.0010270260665622387504303092472e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.338
y[1] (analytic) = 1.998813975307307040951720991954
y[1] (numeric) = 1.9988139753073070409517209919542
absolute error = 2e-31
relative error = 1.0005933642186540215909976368381e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.339
y[1] (analytic) = 1.9996805760908830985454231018524
y[1] (numeric) = 1.9996805760908830985454231018526
absolute error = 2e-31
relative error = 1.0001597374665414482771191429917e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.34
y[1] (analytic) = 2.0005478561519283667383756585061
y[1] (numeric) = 2.0005478561519283667383756585063
absolute error = 2e-31
relative error = 9.9972614694007761807310879720357e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.341
y[1] (analytic) = 2.0014158140213230910561886562341
y[1] (numeric) = 2.0014158140213230910561886562342
absolute error = 1e-31
relative error = 4.9964629688358503022983700976190e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1224.5MB, alloc=4.6MB, time=54.15
x[1] = 4.342
y[1] (analytic) = 2.0022844482272362845303919353557
y[1] (numeric) = 2.0022844482272362845303919353558
absolute error = 1e-31
relative error = 4.9942953953688776143903463216468e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.343
y[1] (analytic) = 2.0031537572951316150204206150172
y[1] (numeric) = 2.0031537572951316150204206150173
absolute error = 1e-31
relative error = 4.9921280199194740072528896451944e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.344
y[1] (analytic) = 2.0040237397477733033569776072706
y[1] (numeric) = 2.0040237397477733033569776072706
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.345
y[1] (analytic) = 2.0048943941052320322831806468186
y[1] (numeric) = 2.0048943941052320322831806468187
absolute error = 1e-31
relative error = 4.9877938855043375979526812478376e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.346
y[1] (analytic) = 2.0057657188848908661698580797179
y[1] (numeric) = 2.005765718884890866169858079718
absolute error = 1e-31
relative error = 4.9856271377294843582996198465521e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.347
y[1] (analytic) = 2.0066377126014511814813145577478
y[1] (numeric) = 2.0066377126014511814813145577478
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.348
y[1] (analytic) = 2.0075103737669386079678447832911
y[1] (numeric) = 2.0075103737669386079678447832911
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.349
y[1] (analytic) = 2.0083837008907089805612305425932
y[1] (numeric) = 2.0083837008907089805612305425932
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.35
y[1] (analytic) = 2.0092576924794543019494134533461
y[1] (numeric) = 2.0092576924794543019494134533461
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.351
y[1] (analytic) = 2.0101323470372087158064931358579
y[1] (numeric) = 2.0101323470372087158064931358579
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.352
y[1] (analytic) = 2.0110076630653544906541578957784
y[1] (numeric) = 2.0110076630653544906541578957784
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.353
y[1] (analytic) = 2.0118836390626280143306124806369
y[1] (numeric) = 2.011883639062628014330612480637
absolute error = 1e-31
relative error = 4.9704663857494143874607342803365e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.354
y[1] (analytic) = 2.0127602735251257990430250424743
y[1] (numeric) = 2.0127602735251257990430250424744
absolute error = 1e-31
relative error = 4.9683015565912934109308565161868e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.355
y[1] (analytic) = 2.0136375649463104969794731047868
y[1] (numeric) = 2.0136375649463104969794731047869
absolute error = 1e-31
relative error = 4.9661369921188520472594160493820e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=1228.3MB, alloc=4.6MB, time=54.31
TOP MAIN SOLVE Loop
x[1] = 4.356
y[1] (analytic) = 2.0145155118170169264563260940205
y[1] (numeric) = 2.0145155118170169264563260940206
absolute error = 1e-31
relative error = 4.9639726978227025840019845693730e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.357
y[1] (analytic) = 2.0153941126254581085769598541195
y[1] (numeric) = 2.0153941126254581085769598541195
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.358
y[1] (analytic) = 2.0162733658572313143776565173191
y[1] (numeric) = 2.0162733658572313143776565173192
absolute error = 1e-31
relative error = 4.9596449416711096849730884845079e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.359
y[1] (analytic) = 2.0171532699953241224365011556487
y[1] (numeric) = 2.0171532699953241224365011556488
absolute error = 1e-31
relative error = 4.9574814907462042170320755943668e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.36
y[1] (analytic) = 2.0180338235201204869210447856318
y[1] (numeric) = 2.0180338235201204869210447856318
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.361
y[1] (analytic) = 2.0189150249094068160504615436246
y[1] (numeric) = 2.0189150249094068160504615436246
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.362
y[1] (analytic) = 2.019796872638378060947886191268
y[1] (numeric) = 2.019796872638378060947886191268
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.363
y[1] (analytic) = 2.0206793651796438148585765498207
y[1] (numeric) = 2.0206793651796438148585765498207
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.364
y[1] (analytic) = 2.0215625010032344227095039988574
y[1] (numeric) = 2.0215625010032344227095039988574
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.365
y[1] (analytic) = 2.0224462785766071009859338091149
y[1] (numeric) = 2.0224462785766071009859338091149
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.366
y[1] (analytic) = 2.0233306963646520679005158113258
y[1] (numeric) = 2.0233306963646520679005158113258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.367
y[1] (analytic) = 2.0242157528296986838303647328494
y[1] (numeric) = 2.0242157528296986838303647328494
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.368
y[1] (analytic) = 2.0251014464315216019975684619668
y[1] (numeric) = 2.0251014464315216019975684619668
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1232.1MB, alloc=4.6MB, time=54.47
x[1] = 4.369
y[1] (analytic) = 2.0259877756273469293685215260074
y[1] (numeric) = 2.0259877756273469293685215260074
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.37
y[1] (analytic) = 2.0268747388718583977474401941878
y[1] (numeric) = 2.0268747388718583977474401941878
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.371
y[1] (analytic) = 2.0277623346172035450393748393304
y[1] (numeric) = 2.0277623346172035450393748393304
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.372
y[1] (analytic) = 2.0286505613129999066579945146542
y[1] (numeric) = 2.0286505613129999066579945146543
absolute error = 1e-31
relative error = 4.9293851739196117278878466603287e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.373
y[1] (analytic) = 2.0295394174063412170533781227552
y[1] (numeric) = 2.0295394174063412170533781227552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.374
y[1] (analytic) = 2.0304289013418036213350060738788
y[1] (numeric) = 2.0304289013418036213350060738788
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.375
y[1] (analytic) = 2.031319011561451896965105949802
y[1] (numeric) = 2.031319011561451896965105949802
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.376
y[1] (analytic) = 2.0322097465048456854974654082365
y[1] (numeric) = 2.0322097465048456854974654082365
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.377
y[1] (analytic) = 2.0331011046090457343367853808109
y[1] (numeric) = 2.0331011046090457343367853808109
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.378
y[1] (analytic) = 2.0339930843086201484936065355413
y[1] (numeric) = 2.0339930843086201484936065355413
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.379
y[1] (analytic) = 2.0348856840356506523098019924203
y[1] (numeric) = 2.0348856840356506523098019924203
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.38
y[1] (analytic) = 2.0357789022197388611295893985025
y[1] (numeric) = 2.0357789022197388611295893985025
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.381
y[1] (analytic) = 2.0366727372880125628909756868001
y[1] (numeric) = 2.0366727372880125628909756868001
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1236.0MB, alloc=4.6MB, time=54.63
x[1] = 4.382
y[1] (analytic) = 2.0375671876651320096125081615854
y[1] (numeric) = 2.0375671876651320096125081615854
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.383
y[1] (analytic) = 2.0384622517732962187501659714842
y[1] (numeric) = 2.0384622517732962187501659714842
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.384
y[1] (analytic) = 2.0393579280322492843991865511967
y[1] (numeric) = 2.0393579280322492843991865511967
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.385
y[1] (analytic) = 2.0402542148592866983155822329536
y[1] (numeric) = 2.0402542148592866983155822329537
absolute error = 1e-31
relative error = 4.9013500019602631437214093056713e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.386
y[1] (analytic) = 2.0411511106692616807320629500712
y[1] (numeric) = 2.0411511106692616807320629500712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.387
y[1] (analytic) = 2.0420486138745915209430417773529
y[1] (numeric) = 2.0420486138745915209430417773529
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.388
y[1] (analytic) = 2.0429467228852639276333609767723
y[1] (numeric) = 2.0429467228852639276333609767723
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.389
y[1] (analytic) = 2.043845436108843388925337241998
y[1] (numeric) = 2.043845436108843388925337241998
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.39
y[1] (analytic) = 2.0447447519504775421186859620609
y[1] (numeric) = 2.0447447519504775421186859620609
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.391
y[1] (analytic) = 2.0456446688129035530978455529591
y[1] (numeric) = 2.0456446688129035530978455529591
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.392
y[1] (analytic) = 2.0465451850964545053811842364096
y[1] (numeric) = 2.0465451850964545053811842364096
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.393
y[1] (analytic) = 2.0474462991990657987865330774375
y[1] (numeric) = 2.0474462991990657987865330774375
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.394
y[1] (analytic) = 2.0483480095162815576874506272034
y[1] (numeric) = 2.0483480095162815576874506272034
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.395
y[1] (analytic) = 2.0492503144412610488345861545531
y[1] (numeric) = 2.0492503144412610488345861545531
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1239.8MB, alloc=4.6MB, time=54.80
x[1] = 4.396
y[1] (analytic) = 2.0501532123647851087164701893957
y[1] (numeric) = 2.0501532123647851087164701893957
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.397
y[1] (analytic) = 2.0510567016752625804340229433158
y[1] (numeric) = 2.0510567016752625804340229433158
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.398
y[1] (analytic) = 2.0519607807587367600630331179701
y[1] (numeric) = 2.0519607807587367600630331179701
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.399
y[1] (analytic) = 2.0528654479988918524788216599478
y[1] (numeric) = 2.0528654479988918524788216599478
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.4
y[1] (analytic) = 2.0537707017770594366172671720469
y[1] (numeric) = 2.053770701777059436617267172047
absolute error = 1e-31
relative error = 4.8690927333549615886656686987949e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.401
y[1] (analytic) = 2.0546765404722249401463319454867
y[1] (numeric) = 2.0546765404722249401463319454868
absolute error = 1e-31
relative error = 4.8669461119664639104611636850282e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.402
y[1] (analytic) = 2.0555829624610341235221899355833
y[1] (numeric) = 2.0555829624610341235221899355834
absolute error = 1e-31
relative error = 4.8648000020527321314423654199995e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.403
y[1] (analytic) = 2.0564899661177995734040204650229
y[1] (numeric) = 2.0564899661177995734040204650231
absolute error = 2e-31
relative error = 9.7253088172151882846141209813884e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.404
y[1] (analytic) = 2.0573975498145072054014940042163
y[1] (numeric) = 2.0573975498145072054014940042164
absolute error = 1e-31
relative error = 4.8605093366139127851205252783111e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.405
y[1] (analytic) = 2.0583057119208227761289390474598
y[1] (numeric) = 2.0583057119208227761289390474599
absolute error = 1e-31
relative error = 4.8583647910435725578493352642475e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.406
y[1] (analytic) = 2.0592144508040984045401418769205
y[1] (numeric) = 2.0592144508040984045401418769206
absolute error = 1e-31
relative error = 4.8562207768574665068197354778812e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.407
y[1] (analytic) = 2.0601237648293791025176938839398
y[1] (numeric) = 2.06012376482937910251769388394
absolute error = 2e-31
relative error = 9.7081545980109666131683150976390e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.408
y[1] (analytic) = 2.0610336523594093146907640989745
y[1] (numeric) = 2.0610336523594093146907640989746
absolute error = 1e-31
relative error = 4.8519343624264945266772985997791e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1243.6MB, alloc=4.6MB, time=54.96
x[1] = 4.409
y[1] (analytic) = 2.0619441117546394674551376678041
y[1] (numeric) = 2.0619441117546394674551376678042
absolute error = 1e-31
relative error = 4.8497919720483420847410336154568e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.41
y[1] (analytic) = 2.0628551413732325271693242025841
y[1] (numeric) = 2.0628551413732325271693242025842
absolute error = 1e-31
relative error = 4.8476501327878258854953158811162e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.411
y[1] (analytic) = 2.0637667395710705675005032320545
y[1] (numeric) = 2.0637667395710705675005032320545
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.412
y[1] (analytic) = 2.0646789047017613458940373758783
y[1] (numeric) = 2.0646789047017613458940373758784
absolute error = 1e-31
relative error = 4.8433681272316188998914941513840e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.413
y[1] (analytic) = 2.0655916351166448891402473738279
y[1] (numeric) = 2.065591635116644889140247373828
absolute error = 1e-31
relative error = 4.8412279707142092004324835039807e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.414
y[1] (analytic) = 2.0665049291648000880121067114967
y[1] (numeric) = 2.0665049291648000880121067114969
absolute error = 2e-31
relative error = 9.6781767697419489757964183290520e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.415
y[1] (analytic) = 2.0674187851930513009474773005539
y[1] (numeric) = 2.067418785193051300947477300554
absolute error = 1e-31
relative error = 4.8369493745633256547117343299691e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.416
y[1] (analytic) = 2.068333201545974966749471493401
y[1] (numeric) = 2.0683332015459749667494714934012
absolute error = 2e-31
relative error = 9.6696218892831225748518482684442e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.417
y[1] (analytic) = 2.0692481765659062262784896396028
y[1] (numeric) = 2.069248176565906226278489639603
absolute error = 2e-31
relative error = 9.6653461998897131836086112931280e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.418
y[1] (analytic) = 2.0701637085929455531094464247678
y[1] (numeric) = 2.070163708592945553109446424768
absolute error = 2e-31
relative error = 9.6610716906025049989842073949787e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.419
y[1] (analytic) = 2.0710797959649653931276633718161
y[1] (numeric) = 2.0710797959649653931276633718163
absolute error = 2e-31
relative error = 9.6567983710552899114734750743145e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.42
y[1] (analytic) = 2.071996437017616813036869129917
y[1] (numeric) = 2.0719964370176168130368691299172
absolute error = 2e-31
relative error = 9.6525262508595487752304160914888e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.421
y[1] (analytic) = 2.0729136300843361577527135279587
y[1] (numeric) = 2.0729136300843361577527135279589
absolute error = 2e-31
relative error = 9.6482553396044307044479514078423e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1247.4MB, alloc=4.6MB, time=55.13
x[1] = 4.422
y[1] (analytic) = 2.0738313734963517166551658273723
y[1] (numeric) = 2.0738313734963517166551658273725
absolute error = 2e-31
relative error = 9.6439856468567327285702514389203e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.423
y[1] (analytic) = 2.0747496655826903986731321736036
y[1] (numeric) = 2.0747496655826903986731321736038
absolute error = 2e-31
relative error = 9.6397171821608798052416770321549e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.424
y[1] (analytic) = 2.0756685046701844161745919166644
y[1] (numeric) = 2.0756685046701844161745919166646
absolute error = 2e-31
relative error = 9.6354499550389051898928622912988e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.425
y[1] (analytic) = 2.0765878890834779776355172491287
y[1] (numeric) = 2.0765878890834779776355172491289
absolute error = 2e-31
relative error = 9.6311839749904311608610160138978e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.426
y[1] (analytic) = 2.0775078171450339890608054948201
y[1] (numeric) = 2.0775078171450339890608054948204
absolute error = 3e-31
relative error = 1.4440378877238975148407172392812e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.427
y[1] (analytic) = 2.0784282871751407641304183733954
y[1] (numeric) = 2.0784282871751407641304183733956
absolute error = 2e-31
relative error = 9.6226557940003059202373089567649e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.428
y[1] (analytic) = 2.0793492974919187430438876652141
y[1] (numeric) = 2.0793492974919187430438876652143
absolute error = 2e-31
relative error = 9.6183936119456758612645562201100e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.429
y[1] (analytic) = 2.0802708464113272200363119074311
y[1] (numeric) = 2.0802708464113272200363119074313
absolute error = 2e-31
relative error = 9.6141327147385526150792533045227e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.43
y[1] (analytic) = 2.081192932247171079538934066294
y[1] (numeric) = 2.0811929322471710795389340662942
absolute error = 2e-31
relative error = 9.6098731117662268174244242191598e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.431
y[1] (analytic) = 2.082115553311107540957355552317
y[1] (numeric) = 2.0821155533111075409573555523172
absolute error = 2e-31
relative error = 9.6056148123934698817038793806924e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.432
y[1] (analytic) = 2.0830387079126529120404074744677
y[1] (numeric) = 2.0830387079126529120404074744679
absolute error = 2e-31
relative error = 9.6013578259625171816806536519541e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.433
y[1] (analytic) = 2.0839623943591893508126656668873
y[1] (numeric) = 2.0839623943591893508126656668875
absolute error = 2e-31
relative error = 9.5971021617930515807679797986260e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.434
y[1] (analytic) = 2.0848866109559716360435617670984
y[1] (numeric) = 2.0848866109559716360435617670986
absolute error = 2e-31
relative error = 9.5928478291821873067810505317279e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1251.2MB, alloc=4.6MB, time=55.30
x[1] = 4.435
y[1] (analytic) = 2.0858113560061339462260084782851
y[1] (numeric) = 2.0858113560061339462260084782853
absolute error = 2e-31
relative error = 9.5885948374044541710148684078127e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.436
y[1] (analytic) = 2.0867366278106966470374231101818
y[1] (numeric) = 2.086736627810696647037423110182
absolute error = 2e-31
relative error = 9.5843431957117821305105780926935e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.437
y[1] (analytic) = 2.0876624246685730872559995635267
y[1] (numeric) = 2.0876624246685730872559995635269
absolute error = 2e-31
relative error = 9.5800929133334861923698196866798e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.438
y[1] (analytic) = 2.0885887448765764031050451020539
y[1] (numeric) = 2.088588744876576403105045102054
absolute error = 1e-31
relative error = 4.7879219997381258294869173935079e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.439
y[1] (analytic) = 2.0895155867294263309981645437485
y[1] (numeric) = 2.0895155867294263309981645437486
absolute error = 1e-31
relative error = 4.7857982316620598564806492763188e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.44
y[1] (analytic) = 2.0904429485197560286580408997126
y[1] (numeric) = 2.0904429485197560286580408997127
absolute error = 1e-31
relative error = 4.7836751570192366704080705312504e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.441
y[1] (analytic) = 2.0913708285381189045815279946138
y[1] (numeric) = 2.0913708285381189045815279946139
absolute error = 1e-31
relative error = 4.7815527803790117969569797727448e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.442
y[1] (analytic) = 2.0922992250729954558237372174515
y[1] (numeric) = 2.0922992250729954558237372174516
absolute error = 1e-31
relative error = 4.7794311062993980929365047150346e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.443
y[1] (analytic) = 2.0932281364108001140737672754119
y[1] (numeric) = 2.093228136410800114073767275412
absolute error = 1e-31
relative error = 4.7773101393270592125265982185487e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.444
y[1] (analytic) = 2.0941575608358880999946926570201
y[1] (numeric) = 2.0941575608358880999946926570202
absolute error = 1e-31
relative error = 4.7751898839973032405219869701040e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.445
y[1] (analytic) = 2.0950874966305622858003934537745
y[1] (numeric) = 2.0950874966305622858003934537747
absolute error = 2e-31
relative error = 9.5461406896681529839795793644847e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.446
y[1] (analytic) = 2.0960179420750800660417762420951
y[1] (numeric) = 2.0960179420750800660417762420953
absolute error = 2e-31
relative error = 9.5419030526999149555176203043055e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.447
y[1] (analytic) = 2.0969488954476602365749028898618
y[1] (numeric) = 2.096948895447660236574902889862
absolute error = 2e-31
relative error = 9.5376668660923020703146451328105e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.448
y[1] (analytic) = 2.0978803550244898816835114242014
y[1] (numeric) = 2.0978803550244898816835114242016
memory used=1255.0MB, alloc=4.6MB, time=55.46
absolute error = 2e-31
relative error = 9.5334321388249652468300039649022e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.449
y[1] (analytic) = 2.0988123190797312693283804796205
y[1] (numeric) = 2.0988123190797312693283804796207
absolute error = 2e-31
relative error = 9.5291988798547855662870237386439e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.45
y[1] (analytic) = 2.0997447858855287544959563382222
y[1] (numeric) = 2.0997447858855287544959563382224
absolute error = 2e-31
relative error = 9.5249670981158635186182857108777e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.451
y[1] (analytic) = 2.100677753712015690618629176701
y[1] (numeric) = 2.1006777537120156906186291767012
absolute error = 2e-31
relative error = 9.5207368025195085742196046355410e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.452
y[1] (analytic) = 2.1016112208273213490390128482278
y[1] (numeric) = 2.101611220827321349039012848228
absolute error = 2e-31
relative error = 9.5165080019542290803351661201462e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.453
y[1] (analytic) = 2.1025451854975778464905503513309
y[1] (numeric) = 2.1025451854975778464905503513311
absolute error = 2e-31
relative error = 9.5122807052857224808941819490395e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.454
y[1] (analytic) = 2.1034796459869270805667350725876
y[1] (numeric) = 2.1034796459869270805667350725878
absolute error = 2e-31
relative error = 9.5080549213568658586173723322058e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.455
y[1] (analytic) = 2.1044146005575276731512059354897
y[1] (numeric) = 2.1044146005575276731512059354899
absolute error = 2e-31
relative error = 9.5038306589877067982095788955560e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.456
y[1] (analytic) = 2.1053500474695619217809427443591
y[1] (numeric) = 2.1053500474695619217809427443593
absolute error = 2e-31
relative error = 9.4996079269754545694528525819497e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.457
y[1] (analytic) = 2.1062859849812427589147562798012
y[1] (numeric) = 2.1062859849812427589147562798014
absolute error = 2e-31
relative error = 9.4953867340944716290124462899342e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.458
y[1] (analytic) = 2.1072224113488207190792360810147
y[1] (numeric) = 2.107222411348820719079236081015
absolute error = 3e-31
relative error = 1.4236750633644398159649409270180e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.459
y[1] (analytic) = 2.1081593248265909138642873404566
y[1] (numeric) = 2.1081593248265909138642873404568
absolute error = 2e-31
relative error = 9.4869490007094806064665646005389e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.46
y[1] (analytic) = 2.1090967236669000147403569380131
y[1] (numeric) = 2.1090967236669000147403569380133
absolute error = 2e-31
relative error = 9.4827324776398913265406913280898e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.461
y[1] (analytic) = 2.1100346061201532436694173550854
y[1] (numeric) = 2.1100346061201532436694173550857
absolute error = 3e-31
relative error = 1.4217776292855591232254537147436e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1258.9MB, alloc=4.6MB, time=55.63
TOP MAIN SOLVE Loop
x[1] = 4.462
y[1] (analytic) = 2.1109729704348213714817460339733
y[1] (numeric) = 2.1109729704348213714817460339736
absolute error = 3e-31
relative error = 1.4211456243241501621672071006480e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.463
y[1] (analytic) = 2.1119118148574477239905066847709
y[1] (numeric) = 2.1119118148574477239905066847712
absolute error = 3e-31
relative error = 1.4205138580573249378639884138372e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.464
y[1] (analytic) = 2.1128511376326551958161080907916
y[1] (numeric) = 2.1128511376326551958161080907919
absolute error = 3e-31
relative error = 1.4198823317772169508758215247849e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.465
y[1] (analytic) = 2.1137909370031532718922851244377
y[1] (numeric) = 2.1137909370031532718922851244381
absolute error = 4e-31
relative error = 1.8923347290300322420618622474639e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.466
y[1] (analytic) = 2.1147312112097450566258159585535
y[1] (numeric) = 2.1147312112097450566258159585539
absolute error = 4e-31
relative error = 1.8914933391046776499683182097491e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.467
y[1] (analytic) = 2.1156719584913343106817588437641
y[1] (numeric) = 2.1156719584913343106817588437645
absolute error = 4e-31
relative error = 1.8906522743026580626761816073192e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.468
y[1] (analytic) = 2.1166131770849324953660613202366
y[1] (numeric) = 2.116613177084932495366061320237
absolute error = 4e-31
relative error = 1.8898115363284887980493052561278e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.469
y[1] (analytic) = 2.1175548652256658245773643428186
y[1] (numeric) = 2.117554865225665824577364342819
absolute error = 4e-31
relative error = 1.8889711268821003006452528027077e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.47
y[1] (analytic) = 2.1184970211467823242997935217397
y[1] (numeric) = 2.1184970211467823242997935217401
absolute error = 4e-31
relative error = 1.8881310476588372489583178192142e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.471
y[1] (analytic) = 2.1194396430796588996084995171248
y[1] (numeric) = 2.1194396430796588996084995171252
absolute error = 4e-31
relative error = 1.8872913003494577230447076419051e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.472
y[1] (analytic) = 2.1203827292538084091596795745789
y[1] (numeric) = 2.1203827292538084091596795745793
absolute error = 4e-31
relative error = 1.8864518866401324322876956413323e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.473
y[1] (analytic) = 2.1213262778968867471367822511914
y[1] (numeric) = 2.1213262778968867471367822511918
absolute error = 4e-31
relative error = 1.8856128082124440030603023772344e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.474
y[1] (analytic) = 2.1222702872346999326245675565824
y[1] (numeric) = 2.1222702872346999326245675565828
absolute error = 4e-31
relative error = 1.8847740667433863260428312420002e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1262.7MB, alloc=4.6MB, time=55.79
x[1] = 4.475
y[1] (analytic) = 2.1232147554912112063826650222037
y[1] (numeric) = 2.1232147554912112063826650222041
absolute error = 4e-31
relative error = 1.8839356639053639629523576927246e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.476
y[1] (analytic) = 2.1241596808885481349902426141237
y[1] (numeric) = 2.1241596808885481349902426141241
absolute error = 4e-31
relative error = 1.8830976013661916124410529723698e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.477
y[1] (analytic) = 2.1251050616470097223333699200941
y[1] (numeric) = 2.1251050616470097223333699200945
absolute error = 4e-31
relative error = 1.8822598807890936349200132842672e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.478
y[1] (analytic) = 2.1260508959850735284066296709263
y[1] (numeric) = 2.1260508959850735284066296709267
absolute error = 4e-31
relative error = 1.8814225038327036360650636700003e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.479
y[1] (analytic) = 2.1269971821194027954005023992239
y[1] (numeric) = 2.1269971821194027954005023992243
absolute error = 4e-31
relative error = 1.8805854721510641087608123072951e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.48
y[1] (analytic) = 2.1279439182648535810460198954337
y[1] (numeric) = 2.1279439182648535810460198954341
absolute error = 4e-31
relative error = 1.8797487873936261332390455505411e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.481
y[1] (analytic) = 2.1288911026344818991881540921131
y[1] (numeric) = 2.1288911026344818991881540921135
absolute error = 4e-31
relative error = 1.8789124512052491351673767405010e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.482
y[1] (analytic) = 2.1298387334395508675593790923783
y[1] (numeric) = 2.1298387334395508675593790923787
absolute error = 4e-31
relative error = 1.8780764652262007014438925700714e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.483
y[1] (analytic) = 2.1307868088895378627248152578163
y[1] (numeric) = 2.1307868088895378627248152578168
absolute error = 5e-31
relative error = 2.3465510388651955668167244599666e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.484
y[1] (analytic) = 2.1317353271921416821703355848241
y[1] (numeric) = 2.1317353271921416821703355848246
absolute error = 5e-31
relative error = 2.3455069380427499719257000127991e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.485
y[1] (analytic) = 2.1326842865532897135049860264981
y[1] (numeric) = 2.1326842865532897135049860264986
absolute error = 5e-31
relative error = 2.3444632810985285155695265606255e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.486
y[1] (analytic) = 2.1336336851771451107490429599531
y[1] (numeric) = 2.1336336851771451107490429599536
absolute error = 5e-31
relative error = 2.3434200700599056169089812655502e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.487
y[1] (analytic) = 2.1345835212661139776790026564082
y[1] (numeric) = 2.1345835212661139776790026564086
absolute error = 4e-31
relative error = 1.8739018455588126533177336594107e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1266.5MB, alloc=4.6MB, time=55.96
x[1] = 4.488
y[1] (analytic) = 2.1355337930208525582007693836591
y[1] (numeric) = 2.1355337930208525582007693836595
absolute error = 4e-31
relative error = 1.8730679950242031785163885650128e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.489
y[1] (analytic) = 2.1364844986402744337222806577735
y[1] (numeric) = 2.1364844986402744337222806577739
absolute error = 4e-31
relative error = 1.8722345060522204228238218323117e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.49
y[1] (analytic) = 2.1374356363215577274967801631025
y[1] (numeric) = 2.1374356363215577274967801631029
absolute error = 4e-31
relative error = 1.8714013802463974755839762020809e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.491
y[1] (analytic) = 2.1383872042601523159079209771245
y[1] (numeric) = 2.1383872042601523159079209771249
absolute error = 4e-31
relative error = 1.8705686192056764859171694297699e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.492
y[1] (analytic) = 2.1393392006497870466678539693219
y[1] (numeric) = 2.1393392006497870466678539693222
absolute error = 3e-31
relative error = 1.4023021683933067815818013108319e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.493
y[1] (analytic) = 2.1402916236824769638994285913623
y[1] (numeric) = 2.1402916236824769638994285913626
absolute error = 3e-31
relative error = 1.4016781483442674545074512337515e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.494
y[1] (analytic) = 2.1412444715485305400736057394146
y[1] (numeric) = 2.1412444715485305400736057394149
absolute error = 3e-31
relative error = 1.4010544054460182516488520203634e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.495
y[1] (analytic) = 2.1421977424365569147731549485903
y[1] (numeric) = 2.1421977424365569147731549485906
absolute error = 3e-31
relative error = 1.4004309408839962212483818711637e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.496
y[1] (analytic) = 2.1431514345334731402536808743734
y[1] (numeric) = 2.1431514345334731402536808743736
absolute error = 2e-31
relative error = 9.3320517056013135988239030849259e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.497
y[1] (analytic) = 2.1441055460245114337729968265937
y[1] (numeric) = 2.1441055460245114337729968265939
absolute error = 2e-31
relative error = 9.3278990099545033410292281967852e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.498
y[1] (analytic) = 2.1450600750932264366598360481195
y[1] (numeric) = 2.1450600750932264366598360481197
absolute error = 2e-31
relative error = 9.3237481934536403040417100773266e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.499
y[1] (analytic) = 2.1460150199215024800928644731024
y[1] (numeric) = 2.1460150199215024800928644731026
absolute error = 2e-31
relative error = 9.3195992639098888640328771343519e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.5
y[1] (analytic) = 2.1469703786895608575609318584119
y[1] (numeric) = 2.1469703786895608575609318584121
absolute error = 2e-31
relative error = 9.3154522291114855671874527059378e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1270.3MB, alloc=4.6MB, time=56.12
x[1] = 4.501
y[1] (analytic) = 2.1479261495759671039754714569509
y[1] (numeric) = 2.1479261495759671039754714569511
absolute error = 2e-31
relative error = 9.3113070968237434578651212645125e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.502
y[1] (analytic) = 2.14888233075763828140593179296
y[1] (numeric) = 2.1488823307576382814059317929602
absolute error = 2e-31
relative error = 9.3071638747890566707491359693466e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.503
y[1] (analytic) = 2.1498389204098502714090976072968
y[1] (numeric) = 2.149838920409850271409097607297
absolute error = 2e-31
relative error = 9.3030225707269052857516492106910e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.504
y[1] (analytic) = 2.1507959167062450739231306651302
y[1] (numeric) = 2.1507959167062450739231306651304
absolute error = 2e-31
relative error = 9.2988831923338604444456344521595e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.505
y[1] (analytic) = 2.1517533178188381126971348596177
y[1] (numeric) = 2.1517533178188381126971348596179
absolute error = 2e-31
relative error = 9.2947457472835897267932897476348e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.506
y[1] (analytic) = 2.1527111219180255472270239030466
y[1] (numeric) = 2.1527111219180255472270239030469
absolute error = 3e-31
relative error = 1.3935915364840294180411305855252e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.507
y[1] (analytic) = 2.1536693271725915911684438717174
y[1] (numeric) = 2.1536693271725915911684438717176
absolute error = 2e-31
relative error = 9.2864766877915572468499918281529e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.508
y[1] (analytic) = 2.1546279317497158371974769626358
y[1] (numeric) = 2.154627931749715837197476962636
absolute error = 2e-31
relative error = 9.2823450885826648465355659434541e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.509
y[1] (analytic) = 2.1555869338149805882898270289675
y[1] (numeric) = 2.1555869338149805882898270289677
absolute error = 2e-31
relative error = 9.2782154531822978496807054120141e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.51
y[1] (analytic) = 2.1565463315323781953891617872856
y[1] (numeric) = 2.1565463315323781953891617872858
absolute error = 2e-31
relative error = 9.2740877891496957033991141445855e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.511
y[1] (analytic) = 2.1575061230643184014352610330278
y[1] (numeric) = 2.157506123064318401435261033028
absolute error = 2e-31
relative error = 9.2699621040212319509157218782744e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.512
y[1] (analytic) = 2.1584663065716356917225947613609
y[1] (numeric) = 2.1584663065716356917225947613611
absolute error = 2e-31
relative error = 9.2658384053104213959365798432522e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.513
y[1] (analytic) = 2.1594268802135966505599297689415
y[1] (numeric) = 2.1594268802135966505599297689417
absolute error = 2e-31
relative error = 9.2617167005079275174793334478205e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1274.1MB, alloc=4.6MB, time=56.29
x[1] = 4.514
y[1] (analytic) = 2.1603878421479073242015381079554
y[1] (numeric) = 2.1603878421479073242015381079556
absolute error = 2e-31
relative error = 9.2575969970815701339359187935875e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.515
y[1] (analytic) = 2.1613491905307205900205556774182
y[1] (numeric) = 2.1613491905307205900205556774184
absolute error = 2e-31
relative error = 9.2534793024763333151394941353344e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.516
y[1] (analytic) = 2.1623109235166435318950142681297
y[1] (numeric) = 2.1623109235166435318950142681299
absolute error = 2e-31
relative error = 9.2493636241143735412080147416964e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.517
y[1] (analytic) = 2.1632730392587448217770455269864
y[1] (numeric) = 2.1632730392587448217770455269866
absolute error = 2e-31
relative error = 9.2452499693950281069372897775901e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.518
y[1] (analytic) = 2.1642355359085621074157305736792
y[1] (numeric) = 2.1642355359085621074157305736794
absolute error = 2e-31
relative error = 9.2411383456948237705168226018251e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.519
y[1] (analytic) = 2.165198411616109406204044388228
y[1] (numeric) = 2.1651984116161094062040443882283
absolute error = 3e-31
relative error = 1.3855543140551228468013346557144e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.52
y[1] (analytic) = 2.1661616645298845051203195914339
y[1] (numeric) = 2.1661616645298845051203195914342
absolute error = 3e-31
relative error = 1.3849381831115919500547857278625e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.521
y[1] (analytic) = 2.1671252927968763667346298622603
y[1] (numeric) = 2.1671252927968763667346298622605
absolute error = 2e-31
relative error = 9.2288157341323553010894503062519e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.522
y[1] (analytic) = 2.1680892945625725412504689764843
y[1] (numeric) = 2.1680892945625725412504689764845
absolute error = 2e-31
relative error = 9.2247123078180884899873960367998e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.523
y[1] (analytic) = 2.1690536679709665845520773097854
y[1] (numeric) = 2.1690536679709665845520773097856
absolute error = 2e-31
relative error = 9.2206109490637581717815904286734e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.524
y[1] (analytic) = 2.1700184111645654822277436258545
y[1] (numeric) = 2.1700184111645654822277436258548
absolute error = 3e-31
relative error = 1.3824767497663834553549561804254e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.525
y[1] (analytic) = 2.1709835222843970795393860662171
y[1] (numeric) = 2.1709835222843970795393860662174
absolute error = 3e-31
relative error = 1.3818621694757397770221949415621e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.526
y[1] (analytic) = 2.171948999470017517308692473351
y[1] (numeric) = 2.1719489994700175173086924733513
absolute error = 3e-31
relative error = 1.3812479025667901007871311249025e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1277.9MB, alloc=4.6MB, time=56.46
x[1] = 4.527
y[1] (analytic) = 2.1729148408595186736900765124539
y[1] (numeric) = 2.1729148408595186736900765124542
absolute error = 3e-31
relative error = 1.3806339501152835508019358108507e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.528
y[1] (analytic) = 2.173881044589535611800682509957
y[1] (numeric) = 2.1738810445895356118006825099573
absolute error = 3e-31
relative error = 1.3800203131935626190427665240529e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.529
y[1] (analytic) = 2.1748476087952540331776484986966
y[1] (numeric) = 2.1748476087952540331776484986969
absolute error = 3e-31
relative error = 1.3794069928705648536300716623763e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.53
y[1] (analytic) = 2.1758145316104177370328136506289
y[1] (numeric) = 2.1758145316104177370328136506292
absolute error = 3e-31
relative error = 1.3787939902118245815964056653213e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.531
y[1] (analytic) = 2.1767818111673360852750330882038
y[1] (numeric) = 2.1767818111673360852750330882041
absolute error = 3e-31
relative error = 1.3781813062794746659190829359505e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.532
y[1] (analytic) = 2.1777494455968914732702399950926
y[1] (numeric) = 2.1777494455968914732702399950929
absolute error = 3e-31
relative error = 1.3775689421322482966351330326057e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.533
y[1] (analytic) = 2.1787174330285468063093719959812
y[1] (numeric) = 2.1787174330285468063093719959816
absolute error = 4e-31
relative error = 1.8359425317673077544748780751281e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.534
y[1] (analytic) = 2.1796857715903529817542559436928
y[1] (numeric) = 2.1796857715903529817542559436931
absolute error = 3e-31
relative error = 1.3763451774111115765008404450670e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.535
y[1] (analytic) = 2.1806544594089563768315225400758
y[1] (numeric) = 2.1806544594089563768315225400762
absolute error = 4e-31
relative error = 1.8343117052502477794173106847952e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.536
y[1] (analytic) = 2.1816234946096063420445996249846
y[1] (numeric) = 2.1816234946096063420445996249849
absolute error = 3e-31
relative error = 1.3751227044503566747331430186708e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.537
y[1] (analytic) = 2.1825928753161627001738104953678
y[1] (numeric) = 2.1825928753161627001738104953682
absolute error = 4e-31
relative error = 1.8326826066545159589227243287502e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.538
y[1] (analytic) = 2.1835625996511032508345812640734
y[1] (numeric) = 2.1835625996511032508345812640738
absolute error = 4e-31
relative error = 1.8318687087968684925255087830389e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.539
y[1] (analytic) = 2.1845326657355312805637390355432
y[1] (numeric) = 2.1845326657355312805637390355436
absolute error = 4e-31
relative error = 1.8310552470741844408797483210130e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1281.7MB, alloc=4.6MB, time=56.62
x[1] = 4.54
y[1] (analytic) = 2.1855030716891830784038605632213
y[1] (numeric) = 2.1855030716891830784038605632217
absolute error = 4e-31
relative error = 1.8302422228619362258600487539034e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.541
y[1] (analytic) = 2.1864738156304354569556090612995
y[1] (numeric) = 2.1864738156304354569556090612999
absolute error = 4e-31
relative error = 1.8294296375310868703428561279547e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.542
y[1] (analytic) = 2.1874448956763132788679749714827
y[1] (numeric) = 2.1874448956763132788679749714831
absolute error = 4e-31
relative error = 1.8286174924480928274479325245631e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.543
y[1] (analytic) = 2.1884163099424969887363147338455
y[1] (numeric) = 2.1884163099424969887363147338459
absolute error = 4e-31
relative error = 1.8278057889749068525591701532380e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.544
y[1] (analytic) = 2.1893880565433301503780599796674
y[1] (numeric) = 2.1893880565433301503780599796677
absolute error = 3e-31
relative error = 1.3702458963517356884129689706959e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.545
y[1] (analytic) = 2.1903601335918269894559480534597
y[1] (numeric) = 2.19036013359182698945594805346
absolute error = 3e-31
relative error = 1.3696377842124518769829295407840e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.546
y[1] (analytic) = 2.1913325391996799414186033813198
y[1] (numeric) = 2.19133253919967994141860338132
absolute error = 2e-31
relative error = 9.1268667088311546266165281453083e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.547
y[1] (analytic) = 2.192305271477267204728277933349
y[1] (numeric) = 2.1923052714772672047282779333492
absolute error = 2e-31
relative error = 9.1228170913091685886766788832567e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.548
y[1] (analytic) = 2.1932783285336602993455378792457
y[1] (numeric) = 2.193278328533660299345537879246
absolute error = 3e-31
relative error = 1.3678154573321672804996875957115e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.549
y[1] (analytic) = 2.1942517084766316304406625084035
y[1] (numeric) = 2.1942517084766316304406625084038
absolute error = 3e-31
relative error = 1.3672086882332941056435653006176e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.55
y[1] (analytic) = 2.1952254094126620573015005790036
y[1] (numeric) = 2.1952254094126620573015005790039
absolute error = 3e-31
relative error = 1.3666022573976388868180304021570e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.551
y[1] (analytic) = 2.1961994294469484674075084747693
y[1] (numeric) = 2.1961994294469484674075084747695
absolute error = 2e-31
relative error = 9.1066411054648355956212540209028e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.552
y[1] (analytic) = 2.1971737666834113556396738833267
y[1] (numeric) = 2.1971737666834113556396738833269
absolute error = 2e-31
relative error = 9.1026027632714680363169803741864e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1285.6MB, alloc=4.6MB, time=56.78
x[1] = 4.553
y[1] (analytic) = 2.1981484192247024085960081665847
y[1] (numeric) = 2.1981484192247024085960081665849
absolute error = 2e-31
relative error = 9.0985666959895714615254645799610e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.554
y[1] (analytic) = 2.1991233851722120939822701712755
y[1] (numeric) = 2.1991233851722120939822701712757
absolute error = 2e-31
relative error = 9.0945329101822140114920616490792e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.555
y[1] (analytic) = 2.2000986626260772550475639268803
y[1] (numeric) = 2.2000986626260772550475639268805
absolute error = 2e-31
relative error = 9.0905014123901339060606101266412e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.556
y[1] (analytic) = 2.2010742496851887100344324986753
y[1] (numeric) = 2.2010742496851887100344324986755
absolute error = 2e-31
relative error = 9.0864722091317564763628705819377e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.557
y[1] (analytic) = 2.202050144447198856613050205655
y[1] (numeric) = 2.2020501444471988566130502056552
absolute error = 2e-31
relative error = 9.0824453069032113936740216206337e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.558
y[1] (analytic) = 2.2030263450085292812690954767035
y[1] (numeric) = 2.2030263450085292812690954767037
absolute error = 2e-31
relative error = 9.0784207121783500942503022044755e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.559
y[1] (analytic) = 2.2040028494643783736148668036678
y[1] (numeric) = 2.204002849464378373614866803668
absolute error = 2e-31
relative error = 9.0743984314087633989665046917177e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.56
y[1] (analytic) = 2.2049796559087289455931845570218
y[1] (numeric) = 2.204979655908728945593184557022
absolute error = 2e-31
relative error = 9.0703784710237993265726623372031e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.561
y[1] (analytic) = 2.205956762434355855543601858673
y[1] (numeric) = 2.2059567624343558555436018586732
absolute error = 2e-31
relative error = 9.0663608374305810993909378087801e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.562
y[1] (analytic) = 2.2069341671328336371004282572337
y[1] (numeric) = 2.2069341671328336371004282572339
absolute error = 2e-31
relative error = 9.0623455370140253402754053810927e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.563
y[1] (analytic) = 2.2079118680945441328920506238334
y[1] (numeric) = 2.2079118680945441328920506238336
absolute error = 2e-31
relative error = 9.0583325761368604596591286537725e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.564
y[1] (analytic) = 2.2088898634086841330110164813677
y[1] (numeric) = 2.2088898634086841330110164813678
absolute error = 1e-31
relative error = 4.5271609805698226157573338520610e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.565
y[1] (analytic) = 2.2098681511632730182243258970345
y[1] (numeric) = 2.2098681511632730182243258970346
absolute error = 1e-31
relative error = 4.5251568491703937785279521602189e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1289.4MB, alloc=4.6MB, time=56.95
x[1] = 4.566
y[1] (analytic) = 2.2108467294451604078933591071818
y[1] (numeric) = 2.2108467294451604078933591071819
absolute error = 1e-31
relative error = 4.5231538970182817075054255837380e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.567
y[1] (analytic) = 2.2118255963400338125728482049523
y[1] (numeric) = 2.2118255963400338125728482049524
absolute error = 1e-31
relative error = 4.5211521272505679986484551035291e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.568
y[1] (analytic) = 2.2128047499324262912582825050428
y[1] (numeric) = 2.2128047499324262912582825050429
absolute error = 1e-31
relative error = 4.5191515429932875144659336158165e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.569
y[1] (analytic) = 2.2137841883057241132511186061663
y[1] (numeric) = 2.2137841883057241132511186061663
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.57
y[1] (analytic) = 2.2147639095421744246111477005918
y[1] (numeric) = 2.2147639095421744246111477005918
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.571
y[1] (analytic) = 2.2157439117228929191653543315154
y[1] (numeric) = 2.2157439117228929191653543315155
absolute error = 1e-31
relative error = 4.5131569343788984507133670282039e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.572
y[1] (analytic) = 2.2167241929278715140425825730552
y[1] (numeric) = 2.2167241929278715140425825730553
absolute error = 1e-31
relative error = 4.5111611232031080294735623903428e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.573
y[1] (analytic) = 2.2177047512359860297033075044388
y[1] (numeric) = 2.2177047512359860297033075044389
absolute error = 1e-31
relative error = 4.5091665130025686170906418903613e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.574
y[1] (analytic) = 2.2186855847250038744337918695386
y[1] (numeric) = 2.2186855847250038744337918695387
absolute error = 1e-31
relative error = 4.5071731068372426197723057657178e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.575
y[1] (analytic) = 2.2196666914715917332738899553739
y[1] (numeric) = 2.2196666914715917332738899553739
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.576
y[1] (analytic) = 2.2206480695513232613477429886151
y[1] (numeric) = 2.2206480695513232613477429886151
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.577
y[1] (analytic) = 2.2216297170386867815665927375685
y[1] (numeric) = 2.2216297170386867815665927375685
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.578
y[1] (analytic) = 2.222611632007092986672922518648
y[1] (numeric) = 2.2226116320070929866729225186481
absolute error = 1e-31
relative error = 4.4992115833433589949828386981383e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1293.2MB, alloc=4.6MB, time=57.11
x[1] = 4.579
y[1] (analytic) = 2.2235938125288826455951174410422
y[1] (numeric) = 2.2235938125288826455951174410422
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.58
y[1] (analytic) = 2.2245762566753343140818184812075
y[1] (numeric) = 2.2245762566753343140818184812075
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.581
y[1] (analytic) = 2.2255589625166720495851278600557
y[1] (numeric) = 2.2255589625166720495851278600557
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.582
y[1] (analytic) = 2.2265419281220731303618062002977
y[1] (numeric) = 2.2265419281220731303618062002977
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.583
y[1] (analytic) = 2.2275251515596757787615850694484
y[1] (numeric) = 2.2275251515596757787615850694485
absolute error = 1e-31
relative error = 4.4892871324025982807357369072881e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.584
y[1] (analytic) = 2.228508630896586888671701765541
y[1] (numeric) = 2.228508630896586888671701765541
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.585
y[1] (analytic) = 2.2294923641988897570867465777123
y[1] (numeric) = 2.2294923641988897570867465777124
absolute error = 1e-31
relative error = 4.4853259695254621681521958988342e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.586
y[1] (analytic) = 2.2304763495316518197728962525825
y[1] (numeric) = 2.2304763495316518197728962525826
absolute error = 1e-31
relative error = 4.4833472464748471886790868942611e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.587
y[1] (analytic) = 2.2314605849589323909955910198056
y[1] (numeric) = 2.2314605849589323909955910198057
absolute error = 1e-31
relative error = 4.4813697662439505474681221986459e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.588
y[1] (analytic) = 2.2324450685437904072796962764054
y[1] (numeric) = 2.2324450685437904072796962764055
absolute error = 1e-31
relative error = 4.4793935317400377651796481982219e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.589
y[1] (analytic) = 2.2334297983482921751711738995737
y[1] (numeric) = 2.2334297983482921751711738995738
absolute error = 1e-31
relative error = 4.4774185458595507444334825849673e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.59
y[1] (analytic) = 2.2344147724335191229692721515758
y[1] (numeric) = 2.234414772433519122969272151576
absolute error = 2e-31
relative error = 8.9508896229762386214892880964939e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.591
y[1] (analytic) = 2.2353999888595755563982272583403
y[1] (numeric) = 2.2353999888595755563982272583405
absolute error = 2e-31
relative error = 8.9469446630011456648699956702393e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.592
y[1] (analytic) = 2.2363854456855964181874539852661
y[1] (numeric) = 2.2363854456855964181874539852663
memory used=1297.0MB, alloc=4.6MB, time=57.28
absolute error = 2e-31
relative error = 8.9430022175219038379247386338898e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.593
y[1] (analytic) = 2.2373711409697550515291868998323
y[1] (numeric) = 2.2373711409697550515291868998326
absolute error = 3e-31
relative error = 1.3408593438367560591329496155586e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.594
y[1] (analytic) = 2.2383570727692709673825185007965
y[1] (numeric) = 2.2383570727692709673825185007967
absolute error = 2e-31
relative error = 8.9351248928555523289580793435350e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.595
y[1] (analytic) = 2.2393432391404176155927650081839
y[1] (numeric) = 2.2393432391404176155927650081841
absolute error = 2e-31
relative error = 8.9311900250169302394652843091384e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.596
y[1] (analytic) = 2.2403296381385301597950753469687
y[1] (numeric) = 2.2403296381385301597950753469688
absolute error = 1e-31
relative error = 4.4636288471855911690320065740386e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.597
y[1] (analytic) = 2.2413162678180132560711837203748
y[1] (numeric) = 2.2413162678180132560711837203749
absolute error = 1e-31
relative error = 4.4616639532694293081176501572007e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.598
y[1] (analytic) = 2.2423031262323488353281911561603
y[1] (numeric) = 2.2423031262323488353281911561604
absolute error = 1e-31
relative error = 4.4597003335595375794809893297493e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.599
y[1] (analytic) = 2.2432902114341038893682465211338
y[1] (numeric) = 2.2432902114341038893682465211338
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.6
y[1] (analytic) = 2.2442775214749382606179827355604
y[1] (numeric) = 2.2442775214749382606179827355605
absolute error = 1e-31
relative error = 4.4557769279032853870302945368439e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.601
y[1] (analytic) = 2.2452650544056124354865492801005
y[1] (numeric) = 2.2452650544056124354865492801006
absolute error = 1e-31
relative error = 4.4538171475025666967823961092798e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.602
y[1] (analytic) = 2.2462528082759953413210675735395
y[1] (numeric) = 2.2462528082759953413210675735396
absolute error = 1e-31
relative error = 4.4518586523994265171411072777746e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.603
y[1] (analytic) = 2.2472407811350721469283214098857
y[1] (numeric) = 2.2472407811350721469283214098858
absolute error = 1e-31
relative error = 4.4499014453400230716792437029151e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.604
y[1] (analytic) = 2.2482289710309520666314803784736
y[1] (numeric) = 2.2482289710309520666314803784737
absolute error = 1e-31
relative error = 4.4479455290598721199431352733294e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.605
y[1] (analytic) = 2.2492173760108761678306400505849
y[1] (numeric) = 2.249217376010876167830640050585
absolute error = 1e-31
relative error = 4.4459909062838596249266025953105e-30 %
Correct digits = 31
h = 0.001
memory used=1300.8MB, alloc=4.6MB, time=57.44
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.606
y[1] (analytic) = 2.2502059941212251820359487008369
y[1] (numeric) = 2.2502059941212251820359487008369
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.607
y[1] (analytic) = 2.2511948234075273193420764412448
y[1] (numeric) = 2.2511948234075273193420764412448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.608
y[1] (analytic) = 2.2521838619144660863127688805027
y[1] (numeric) = 2.2521838619144660863127688805027
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.609
y[1] (analytic) = 2.2531731076858881072442137806908
y[1] (numeric) = 2.2531731076858881072442137806908
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.61
y[1] (analytic) = 2.2541625587648109487759356683708
y[1] (numeric) = 2.2541625587648109487759356683708
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.611
y[1] (analytic) = 2.2551522131934309478179199669249
y[1] (numeric) = 2.255152213193430947817919966925
absolute error = 1e-31
relative error = 4.4342904844721765078872586843580e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.612
y[1] (analytic) = 2.2561420690131310427626549520782
y[1] (numeric) = 2.2561420690131310427626549520782
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.613
y[1] (analytic) = 2.2571321242644886079507666928776
y[1] (numeric) = 2.2571321242644886079507666928776
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.614
y[1] (analytic) = 2.2581223769872832913589091260358
y[1] (numeric) = 2.2581223769872832913589091260358
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.615
y[1] (analytic) = 2.2591128252205048554785585225276
y[1] (numeric) = 2.2591128252205048554785585225276
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.616
y[1] (analytic) = 2.2601034670023610213543488417168
y[1] (numeric) = 2.2601034670023610213543488417168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.617
y[1] (analytic) = 2.2610943003702853157505718301304
y[1] (numeric) = 2.2610943003702853157505718301304
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.618
y[1] (analytic) = 2.2620853233609449214144532093433
y[1] (numeric) = 2.2620853233609449214144532093432
absolute error = 1e-31
relative error = 4.4206997396288623017084871172906e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1304.6MB, alloc=4.6MB, time=57.60
x[1] = 4.619
y[1] (analytic) = 2.2630765340102485304048039103341
y[1] (numeric) = 2.2630765340102485304048039103341
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.62
y[1] (analytic) = 2.2640679303533542004546330501808
y[1] (numeric) = 2.2640679303533542004546330501808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.621
y[1] (analytic) = 2.2650595104246772143362972111165
y[1] (numeric) = 2.2650595104246772143362972111165
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.622
y[1] (analytic) = 2.2660512722578979421977485718299
y[1] (numeric) = 2.2660512722578979421977485718299
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.623
y[1] (analytic) = 2.2670432138859697068384325564997
y[1] (numeric) = 2.2670432138859697068384325564998
absolute error = 1e-31
relative error = 4.4110319286145690842419704967518e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.624
y[1] (analytic) = 2.2680353333411266518933739084598
y[1] (numeric) = 2.2680353333411266518933739084599
absolute error = 1e-31
relative error = 4.4091023861028789647932874270657e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.625
y[1] (analytic) = 2.2690276286548916128939784626411
y[1] (numeric) = 2.2690276286548916128939784626412
absolute error = 1e-31
relative error = 4.4071741893809054081784969648700e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.626
y[1] (analytic) = 2.2700200978580839911740663840796
y[1] (numeric) = 2.2700200978580839911740663840797
absolute error = 1e-31
relative error = 4.4052473409533553480102963258136e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.627
y[1] (analytic) = 2.2710127389808276305896412588535
y[1] (numeric) = 2.2710127389808276305896412588536
absolute error = 1e-31
relative error = 4.4033218433146015536343186195398e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.628
y[1] (analytic) = 2.2720055500525586970208881688782
y[1] (numeric) = 2.2720055500525586970208881688783
absolute error = 1e-31
relative error = 4.4013976989486967898791097092347e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.629
y[1] (analytic) = 2.2729985291020335606248827530703
y[1] (numeric) = 2.2729985291020335606248827530704
absolute error = 1e-31
relative error = 4.3994749103293880354373321163256e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.63
y[1] (analytic) = 2.273991674157336680807482254556
y[1] (numeric) = 2.2739916741573366808074822545561
absolute error = 1e-31
relative error = 4.3975534799201307593688109355226e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.631
y[1] (analytic) = 2.2749849832458884938828586768717
y[1] (numeric) = 2.2749849832458884938828586768718
absolute error = 1e-31
relative error = 4.3956334101741032552174502799471e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1308.4MB, alloc=4.6MB, time=57.77
x[1] = 4.632
y[1] (analytic) = 2.2759784543944533033891234215418
y[1] (numeric) = 2.275978454394453303389123421542
absolute error = 2e-31
relative error = 8.7874294070684420644709349621856e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.633
y[1] (analytic) = 2.2769720856291471730284821550556
y[1] (numeric) = 2.2769720856291471730284821550558
absolute error = 2e-31
relative error = 8.7835947248663025264196320859336e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.634
y[1] (analytic) = 2.2779658749754458222003481551466
y[1] (numeric) = 2.2779658749754458222003481551468
absolute error = 2e-31
relative error = 8.7797627785866545767741942269385e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.635
y[1] (analytic) = 2.2789598204581925240958320144499
y[1] (numeric) = 2.2789598204581925240958320144501
absolute error = 2e-31
relative error = 8.7759335730539263499893858175191e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.636
y[1] (analytic) = 2.2799539201016060063220153341087
y[1] (numeric) = 2.2799539201016060063220153341089
absolute error = 2e-31
relative error = 8.7721071130721366637145880566133e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.637
y[1] (analytic) = 2.2809481719292883540244059207689
y[1] (numeric) = 2.2809481719292883540244059207691
absolute error = 2e-31
relative error = 8.7682834034249243572188717002997e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.638
y[1] (analytic) = 2.2819425739642329154759620076799
y[1] (numeric) = 2.2819425739642329154759620076801
absolute error = 2e-31
relative error = 8.7644624488755777380122142372447e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.639
y[1] (analytic) = 2.2829371242288322101010631543436
y[1] (numeric) = 2.2829371242288322101010631543439
absolute error = 3e-31
relative error = 1.3140966381250596203504839055446e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.64
y[1] (analytic) = 2.2839318207448858389027957393744
y[1] (numeric) = 2.2839318207448858389027957393747
absolute error = 3e-31
relative error = 1.3135243236033089342804996175419e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.641
y[1] (analytic) = 2.2849266615336083972619113479726
y[1] (numeric) = 2.2849266615336083972619113479728
absolute error = 2e-31
relative error = 8.7530161631429784756569351053165e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.642
y[1] (analytic) = 2.2859216446156373900758068687306
y[1] (numeric) = 2.2859216446156373900758068687309
absolute error = 3e-31
relative error = 1.3123809414318005479420080935691e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.643
y[1] (analytic) = 2.2869167680110411492058657544042
y[1] (numeric) = 2.2869167680110411492058657544045
absolute error = 3e-31
relative error = 1.3118098751836674238939197790764e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.644
y[1] (analytic) = 2.2879120297393267532014906678393
y[1] (numeric) = 2.2879120297393267532014906678396
absolute error = 3e-31
relative error = 1.3112392264233188137401123085422e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1312.3MB, alloc=4.6MB, time=57.93
x[1] = 4.645
y[1] (analytic) = 2.288907427819447949269148627485
y[1] (numeric) = 2.2889074278194479492691486274853
absolute error = 3e-31
relative error = 1.3106689958440049131724783767921e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.646
y[1] (analytic) = 2.2899029602698130774547407868741
y[1] (numeric) = 2.2899029602698130774547407868744
absolute error = 3e-31
relative error = 1.3100991841359592405423729034725e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.647
y[1] (analytic) = 2.2908986251082929970076001291572
y[1] (numeric) = 2.2908986251082929970076001291576
absolute error = 4e-31
relative error = 1.7460397226485375910250375916110e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.648
y[1] (analytic) = 2.2918944203522290148944116312693
y[1] (numeric) = 2.2918944203522290148944116312697
absolute error = 4e-31
relative error = 1.7452810934394008253416831778545e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.649
y[1] (analytic) = 2.2928903440184408164313408526178
y[1] (numeric) = 2.2928903440184408164313408526182
absolute error = 4e-31
relative error = 1.7445230254621498685709520917652e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.65
y[1] (analytic) = 2.2938863941232343980026484303534
y[1] (numeric) = 2.2938863941232343980026484303538
absolute error = 4e-31
relative error = 1.7437655196210680806417138744464e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.651
y[1] (analytic) = 2.2948825686824100018340596173423
y[1] (numeric) = 2.2948825686824100018340596173427
absolute error = 4e-31
relative error = 1.7430085768164471559565686033323e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.652
y[1] (analytic) = 2.2958788657112700527891497799406
y[1] (numeric) = 2.295878865711270052789149779941
absolute error = 4e-31
relative error = 1.7422521979445932950804601336318e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.653
y[1] (analytic) = 2.2968752832246270971569986806124
y[1] (numeric) = 2.2968752832246270971569986806128
absolute error = 4e-31
relative error = 1.7414963838978333951515727575071e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.654
y[1] (analytic) = 2.2978718192368117433993584053584
y[1] (numeric) = 2.2978718192368117433993584053588
absolute error = 4e-31
relative error = 1.7407411355645212588248321381656e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.655
y[1] (analytic) = 2.2988684717616806048255719578722
y[1] (numeric) = 2.2988684717616806048255719578726
absolute error = 4e-31
relative error = 1.7399864538290438215589376213137e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.656
y[1] (analytic) = 2.299865238812624244163471831339
y[1] (numeric) = 2.2998652388126242441634718313394
absolute error = 4e-31
relative error = 1.7392323395718273970584605975479e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.657
y[1] (analytic) = 2.3008621184025751199944802848756
y[1] (numeric) = 2.300862118402575119994480284876
absolute error = 4e-31
relative error = 1.7384787936693439406831524575733e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1316.1MB, alloc=4.6MB, time=58.10
x[1] = 4.658
y[1] (analytic) = 2.3018591085440155350211255948063
y[1] (numeric) = 2.3018591085440155350211255948067
absolute error = 4e-31
relative error = 1.7377258169941173306372158191301e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.659
y[1] (analytic) = 2.3028562072489855861351812213067
y[1] (numeric) = 2.302856207248985586135181221307
absolute error = 3e-31
relative error = 1.3027300578110472500639280613674e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.66
y[1] (analytic) = 2.3038534125290911162546276284588
y[1] (numeric) = 2.3038534125290911162546276284591
absolute error = 3e-31
relative error = 1.3021661810968706900065702166145e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.661
y[1] (analytic) = 2.3048507223955116678976294204738
y[1] (numeric) = 2.3048507223955116678976294204741
absolute error = 3e-31
relative error = 1.3016027332485964494635650359179e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.662
y[1] (analytic) = 2.3058481348590084384617135087767
y[1] (numeric) = 2.305848134859008438461713508777
absolute error = 3e-31
relative error = 1.3010397149088205763508886454958e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.663
y[1] (analytic) = 2.3068456479299322371763272038493
y[1] (numeric) = 2.3068456479299322371763272038495
absolute error = 2e-31
relative error = 8.6698475114480120687942746687679e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.664
y[1] (analytic) = 2.3078432596182314436969484322064
y[1] (numeric) = 2.3078432596182314436969484322066
absolute error = 2e-31
relative error = 8.6660997954031091382129718563550e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.665
y[1] (analytic) = 2.308840967933459968308913712678
y[1] (numeric) = 2.3088409679334599683089137126783
absolute error = 3e-31
relative error = 1.2993532433224127570091649104408e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.666
y[1] (analytic) = 2.3098387708847852137091230872973
y[1] (numeric) = 2.3098387708847852137091230872976
absolute error = 3e-31
relative error = 1.2987919493839165611981925516481e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.667
y[1] (analytic) = 2.3108366664809960383337748905911
y[1] (numeric) = 2.3108366664809960383337748905914
absolute error = 3e-31
relative error = 1.2982310881229352926370445291831e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.668
y[1] (analytic) = 2.311834652730510721200277056952
y[1] (numeric) = 2.3118346527305107212002770569523
absolute error = 3e-31
relative error = 1.2976706601645132145734364623138e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.669
y[1] (analytic) = 2.3128327276413849282314756090661
y[1] (numeric) = 2.3128327276413849282314756090664
absolute error = 3e-31
relative error = 1.2971106661307861926045048470140e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.67
y[1] (analytic) = 2.313830889221319680030335041104
y[1] (numeric) = 2.3138308892213196800303350411043
absolute error = 3e-31
relative error = 1.2965511066409865548022943908817e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1319.9MB, alloc=4.6MB, time=58.26
x[1] = 4.671
y[1] (analytic) = 2.3148291354776693210731995085781
y[1] (numeric) = 2.3148291354776693210731995085784
absolute error = 3e-31
relative error = 1.2959919823114479633906027645423e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.672
y[1] (analytic) = 2.3158274644174494902897580624459
y[1] (numeric) = 2.3158274644174494902897580624462
absolute error = 3e-31
relative error = 1.2954332937556102978392426799986e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.673
y[1] (analytic) = 2.3168258740473450929978316182271
y[1] (numeric) = 2.3168258740473450929978316182274
absolute error = 3e-31
relative error = 1.2948750415840245492422505955837e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.674
y[1] (analytic) = 2.3178243623737182741610939316142
y[1] (numeric) = 2.3178243623737182741610939316145
absolute error = 3e-31
relative error = 1.2943172264043577258470413617390e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.675
y[1] (analytic) = 2.3188229274026163929378335603256
y[1] (numeric) = 2.3188229274026163929378335603259
absolute error = 3e-31
relative error = 1.2937598488213977696019787423723e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.676
y[1] (analytic) = 2.3198215671397799984888586277847
y[1] (numeric) = 2.3198215671397799984888586277849
absolute error = 2e-31
relative error = 8.6213527295803898906020196919834e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.677
y[1] (analytic) = 2.3208202795906508070126411676404
y[1] (numeric) = 2.3208202795906508070126411676406
absolute error = 2e-31
relative error = 8.6176427256692298014588542538065e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.678
y[1] (analytic) = 2.321819062760379679975792919189
y[1] (numeric) = 2.3218190627603796799757929191893
absolute error = 3e-31
relative error = 1.2920903476575560800302950108803e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.679
y[1] (analytic) = 2.3228179146538346035069596624304
y[1] (numeric) = 2.3228179146538346035069596624307
absolute error = 3e-31
relative error = 1.2915347264518943710087367771154e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.68
y[1] (analytic) = 2.3238168332756086689222165278208
y[1] (numeric) = 2.3238168332756086689222165278211
absolute error = 3e-31
relative error = 1.2909795458238660782476897710494e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.681
y[1] (analytic) = 2.3248158166300280543500421897825
y[1] (numeric) = 2.3248158166300280543500421897828
absolute error = 3e-31
relative error = 1.2904248063610885938515541340096e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.682
y[1] (analytic) = 2.3258148627211600074239454547146
y[1] (numeric) = 2.3258148627211600074239454547148
absolute error = 2e-31
relative error = 8.5991367243222330462725611465065e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.683
y[1] (analytic) = 2.3268139695528208290108134836426
y[1] (numeric) = 2.3268139695528208290108134836428
absolute error = 2e-31
relative error = 8.5954443551169256908857521349607e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1323.7MB, alloc=4.6MB, time=58.43
x[1] = 4.684
y[1] (analytic) = 2.3278131351285838579430467467594
y[1] (numeric) = 2.3278131351285838579430467467596
absolute error = 2e-31
relative error = 8.5917549386519975124579324255957e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.685
y[1] (analytic) = 2.3288123574517874567225417919635
y[1] (numeric) = 2.3288123574517874567225417919637
absolute error = 2e-31
relative error = 8.5880684787692486397339280168840e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.686
y[1] (analytic) = 2.3298116345255429981645790221108
y[1] (numeric) = 2.329811634525542998164579022111
absolute error = 2e-31
relative error = 8.5843849792916505715174432668156e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.687
y[1] (analytic) = 2.3308109643527428529496689160787
y[1] (numeric) = 2.3308109643527428529496689160789
absolute error = 2e-31
relative error = 8.5807044440233797673594993341704e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.688
y[1] (analytic) = 2.3318103449360683780514064969066
y[1] (numeric) = 2.3318103449360683780514064969068
absolute error = 2e-31
relative error = 8.5770268767498513005041570721278e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.689
y[1] (analytic) = 2.3328097742779979060083803462469
y[1] (numeric) = 2.3328097742779979060083803462471
absolute error = 2e-31
relative error = 8.5733522812377525722522688796632e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.69
y[1] (analytic) = 2.3338092503808147350081790881426
y[1] (numeric) = 2.3338092503808147350081790881428
absolute error = 2e-31
relative error = 8.5696806612350770869071871117842e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.691
y[1] (analytic) = 2.3348087712466151197515350167589
y[1] (numeric) = 2.334808771246615119751535016759
absolute error = 1e-31
relative error = 4.2830060102355791432347709121555e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.692
y[1] (analytic) = 2.3358083348773162630646414221484
y[1] (numeric) = 2.3358083348773162630646414221486
absolute error = 2e-31
relative error = 8.5623463626567034442513877667245e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.693
y[1] (analytic) = 2.3368079392746643082276771754377
y[1] (numeric) = 2.3368079392746643082276771754379
absolute error = 2e-31
relative error = 8.5586836914838276165832095224485e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.694
y[1] (analytic) = 2.3378075824402423319875692699906
y[1] (numeric) = 2.3378075824402423319875692699909
absolute error = 3e-31
relative error = 1.2832536015939131477685696623239e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.695
y[1] (analytic) = 2.3388072623754783382230212781586
y[1] (numeric) = 2.3388072623754783382230212781589
absolute error = 3e-31
relative error = 1.2827050985607774383429302713023e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.696
y[1] (analytic) = 2.3398069770816532522298330741598
y[1] (numeric) = 2.33980697708165325222983307416
absolute error = 2e-31
relative error = 8.5477136344576561122961579323850e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1327.5MB, alloc=4.6MB, time=58.59
x[1] = 4.697
y[1] (analytic) = 2.3408067245599089155945346924686
y[1] (numeric) = 2.3408067245599089155945346924688
absolute error = 2e-31
relative error = 8.5440629464015940604025872915676e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.698
y[1] (analytic) = 2.34180650281125608162435483784
y[1] (numeric) = 2.3418065028112560816243548378402
absolute error = 2e-31
relative error = 8.5404152631699953227629548920538e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.699
y[1] (analytic) = 2.3428063098365824113015423377541
y[1] (numeric) = 2.3428063098365824113015423377544
absolute error = 3e-31
relative error = 1.2805155882516206684294216840168e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.7
y[1] (analytic) = 2.3438061436366604697300567306581
y[1] (numeric) = 2.3438061436366604697300567306584
absolute error = 3e-31
relative error = 1.2799693388230419530498056089961e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.701
y[1] (analytic) = 2.3448060022121557230426422139029
y[1] (numeric) = 2.3448060022121557230426422139032
absolute error = 3e-31
relative error = 1.2794235417214540947035271149005e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.702
y[1] (analytic) = 2.3458058835636345357362973337441
y[1] (numeric) = 2.3458058835636345357362973337443
absolute error = 2e-31
relative error = 8.5258546498387027332231355450951e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.703
y[1] (analytic) = 2.3468057856915721684041510861885
y[1] (numeric) = 2.3468057856915721684041510861887
absolute error = 2e-31
relative error = 8.5222220440820450855299571432030e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.704
y[1] (analytic) = 2.3478057065963607758317545118483
y[1] (numeric) = 2.3478057065963607758317545118485
absolute error = 2e-31
relative error = 8.5185924643629116339484679742452e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.705
y[1] (analytic) = 2.3488056442783174054257954102985
y[1] (numeric) = 2.3488056442783174054257954102988
absolute error = 3e-31
relative error = 1.2772448871229468643607272011452e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.706
y[1] (analytic) = 2.3498055967376919959432424697446
y[1] (numeric) = 2.3498055967376919959432424697449
absolute error = 3e-31
relative error = 1.2767013595358667389353409505651e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.707
y[1] (analytic) = 2.3508055619746753764889239060882
y[1] (numeric) = 2.3508055619746753764889239060885
absolute error = 3e-31
relative error = 1.2761582874085092998300299826124e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.708
y[1] (analytic) = 2.3518055379894072657495446317418
y[1] (numeric) = 2.3518055379894072657495446317421
absolute error = 3e-31
relative error = 1.2756156712534759996858653160208e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.709
y[1] (analytic) = 2.3528055227819842714321450287896
y[1] (numeric) = 2.3528055227819842714321450287899
absolute error = 3e-31
relative error = 1.2750735115806620284802992172638e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1331.3MB, alloc=4.6MB, time=58.76
x[1] = 4.71
y[1] (analytic) = 2.3538055143524678898750035833253
y[1] (numeric) = 2.3538055143524678898750035833256
absolute error = 3e-31
relative error = 1.2745318088972615359160939193499e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.711
y[1] (analytic) = 2.3548055107008925057989849480221
y[1] (numeric) = 2.3548055107008925057989849480224
absolute error = 3e-31
relative error = 1.2739905637077728603746122997633e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.712
y[1] (analytic) = 2.3558055098272733921673344382089
y[1] (numeric) = 2.3558055098272733921673344382092
absolute error = 3e-31
relative error = 1.2734497765140037643186130130792e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.713
y[1] (analytic) = 2.3568055097316147101219195329424
y[1] (numeric) = 2.3568055097316147101219195329427
absolute error = 3e-31
relative error = 1.2729094478150766760301730178461e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.714
y[1] (analytic) = 2.357805508413917508963918646774
y[1] (numeric) = 2.3578055084139175089639186467743
absolute error = 3e-31
relative error = 1.2723695781074339375698408226641e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.715
y[1] (analytic) = 2.3588055038741877261469572601241
y[1] (numeric) = 2.3588055038741877261469572601244
absolute error = 3e-31
relative error = 1.2718301678848430588436040882456e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.716
y[1] (analytic) = 2.3598054941124441872506914463856
y[1] (numeric) = 2.3598054941124441872506914463859
absolute error = 3e-31
relative error = 1.2712912176384019776647354459949e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.717
y[1] (analytic) = 2.3608054771287266059028389120894
y[1] (numeric) = 2.3608054771287266059028389120898
absolute error = 4e-31
relative error = 1.6943369704753924342640806863723e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.718
y[1] (analytic) = 2.3618054509231035836176578726741
y[1] (numeric) = 2.3618054509231035836176578726745
absolute error = 4e-31
relative error = 1.6936195987000596002328961355641e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.719
y[1] (analytic) = 2.3628054134956806095188744206103
y[1] (numeric) = 2.3628054134956806095188744206107
absolute error = 4e-31
relative error = 1.6929028421693652550207925936674e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.72
y[1] (analytic) = 2.3638053628466080599150595048376
y[1] (numeric) = 2.363805362846608059915059504838
absolute error = 4e-31
relative error = 1.6921867015239392200045081164042e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.721
y[1] (analytic) = 2.3648052969760891976954572306713
y[1] (numeric) = 2.3648052969760891976954572306716
absolute error = 3e-31
relative error = 1.2686033830506653016411095265953e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.722
y[1] (analytic) = 2.3658052138843881715142669075319
y[1] (numeric) = 2.3658052138843881715142669075322
absolute error = 3e-31
relative error = 1.2680672028253478893387152024884e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1335.1MB, alloc=4.6MB, time=58.92
x[1] = 4.723
y[1] (analytic) = 2.3668051115718380147313821180351
y[1] (numeric) = 2.3668051115718380147313821180354
absolute error = 3e-31
relative error = 1.2675314859395608730670865631110e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.724
y[1] (analytic) = 2.3678049880388486440775910561507
y[1] (numeric) = 2.367804988038848644077591056151
absolute error = 3e-31
relative error = 1.2669962328632356586208219785046e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.725
y[1] (analytic) = 2.3688048412859148580122434842943
y[1] (numeric) = 2.3688048412859148580122434842946
absolute error = 3e-31
relative error = 1.2664614440636816716310280501908e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.726
y[1] (analytic) = 2.3698046693136243347413908893484
y[1] (numeric) = 2.3698046693136243347413908893487
absolute error = 3e-31
relative error = 1.2659271200055916714700174313852e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.727
y[1] (analytic) = 2.3708044701226656298644077757159
y[1] (numeric) = 2.3708044701226656298644077757162
absolute error = 3e-31
relative error = 1.2653932611510470699402425932155e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.728
y[1] (analytic) = 2.3718042417138361736171035195853
y[1] (numeric) = 2.3718042417138361736171035195856
absolute error = 3e-31
relative error = 1.2648598679595232546402800384836e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.729
y[1] (analytic) = 2.372803982088050267679335822622
y[1] (numeric) = 2.3728039820880502676793358226224
absolute error = 4e-31
relative error = 1.6857692545171932225348763501008e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.73
y[1] (analytic) = 2.3738036892463470815151385452955
y[1] (numeric) = 2.3738036892463470815151385452959
absolute error = 4e-31
relative error = 1.6850593071872551789157230372940e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.731
y[1] (analytic) = 2.3748033611898986482133785699915
y[1] (numeric) = 2.3748033611898986482133785699919
absolute error = 4e-31
relative error = 1.6843499825584692758037236553043e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.732
y[1] (analytic) = 2.3758029959200178597969583419441
y[1] (numeric) = 2.3758029959200178597969583419445
absolute error = 4e-31
relative error = 1.6836412812296416655444515186375e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.733
y[1] (analytic) = 2.3768025914381664619685828618374
y[1] (numeric) = 2.3768025914381664619685828618377
absolute error = 3e-31
relative error = 1.2621999028471045344263490782869e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.734
y[1] (analytic) = 2.377802145745963048261112157668
y[1] (numeric) = 2.3778021457459630482611121576684
absolute error = 4e-31
relative error = 1.6822257508498974589968133389459e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.735
y[1] (analytic) = 2.378801656845191053560522645119
y[1] (numeric) = 2.3788016568451910535605226451193
absolute error = 3e-31
relative error = 1.2611391922345695716250155682849e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1339.0MB, alloc=4.6MB, time=59.09
x[1] = 4.736
y[1] (analytic) = 2.3798011227378067469695032952551
y[1] (numeric) = 2.3798011227378067469695032952554
absolute error = 3e-31
relative error = 1.2606095405773633279545514468088e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.737
y[1] (analytic) = 2.380800541425947223979715165815
y[1] (numeric) = 2.3808005414259472239797151658152
absolute error = 2e-31
relative error = 8.4005357240137720249341572803504e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.738
y[1] (analytic) = 2.3817999109119383979207456177155
y[1] (numeric) = 2.3817999109119383979207456177157
absolute error = 2e-31
relative error = 8.3970109782825725529320714068212e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.739
y[1] (analytic) = 2.3827992291983029906537914316089
y[1] (numeric) = 2.3827992291983029906537914316092
absolute error = 3e-31
relative error = 1.2590234054294852608415931814746e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.74
y[1] (analytic) = 2.3837984942877685224781080604134
y[1] (numeric) = 2.3837984942877685224781080604137
absolute error = 3e-31
relative error = 1.2584956350919838153670851242141e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.741
y[1] (analytic) = 2.384797704183275301218265402673
y[1] (numeric) = 2.3847977041832753012182654026733
absolute error = 3e-31
relative error = 1.2579683361559649817022699421351e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.742
y[1] (analytic) = 2.3857968568879844104602537583771
y[1] (numeric) = 2.3857968568879844104602537583774
absolute error = 3e-31
relative error = 1.2574415090449811301547127980628e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.743
y[1] (analytic) = 2.3867959504052856969044870334657
y[1] (numeric) = 2.386795950405285696904487033466
absolute error = 3e-31
relative error = 1.2569151541800589471371962237350e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.744
y[1] (analytic) = 2.3877949827388057568037537916576
y[1] (numeric) = 2.3877949827388057568037537916579
absolute error = 3e-31
relative error = 1.2563892719797048191781973194793e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.745
y[1] (analytic) = 2.3887939518924159214541704124459
y[1] (numeric) = 2.3887939518924159214541704124462
absolute error = 3e-31
relative error = 1.2558638628599102198600968068992e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.746
y[1] (analytic) = 2.3897928558702402417071944020961
y[1] (numeric) = 2.3897928558702402417071944020964
absolute error = 3e-31
relative error = 1.2553389272341570995864815237933e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.747
y[1] (analytic) = 2.3907916926766634714707598202385
y[1] (numeric) = 2.3907916926766634714707598202387
absolute error = 2e-31
relative error = 8.3654297700894885205358186020894e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.748
y[1] (analytic) = 2.3917904603163390501676008281583
y[1] (numeric) = 2.3917904603163390501676008281585
absolute error = 2e-31
relative error = 8.3619365207079189301045561124514e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1342.8MB, alloc=4.6MB, time=59.25
x[1] = 4.749
y[1] (analytic) = 2.3927891567941970841188335361336
y[1] (numeric) = 2.3927891567941970841188335361338
absolute error = 2e-31
relative error = 8.3584464361229102012311730428122e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.75
y[1] (analytic) = 2.3937877801154523268208706261335
y[1] (numeric) = 2.3937877801154523268208706261337
absolute error = 2e-31
relative error = 8.3549595190244477240310941046301e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.751
y[1] (analytic) = 2.3947863282856121580837476528603
y[1] (numeric) = 2.3947863282856121580837476528605
absolute error = 2e-31
relative error = 8.3514757720859666531177868027544e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.752
y[1] (analytic) = 2.395784799310484561998944480468
y[1] (numeric) = 2.3957847993104845619989444804682
absolute error = 2e-31
relative error = 8.3479951979643879389146817903207e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.753
y[1] (analytic) = 2.3967831911961861037047899943099
y[1] (numeric) = 2.3967831911961861037047899943101
absolute error = 2e-31
relative error = 8.3445177993001543733122892774467e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.754
y[1] (analytic) = 2.3977815019491499049175430367305
y[1] (numeric) = 2.3977815019491499049175430367307
absolute error = 2e-31
relative error = 8.3410435787172666490379364479906e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.755
y[1] (analytic) = 2.398779729576133618196247453214
y[1] (numeric) = 2.3987797295761336181962474532142
absolute error = 2e-31
relative error = 8.3375725388233194321086611683963e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.756
y[1] (analytic) = 2.3997778720842273999094642000998
y[1] (numeric) = 2.3997778720842273999094642001
absolute error = 2e-31
relative error = 8.3341046822095374467409037095723e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.757
y[1] (analytic) = 2.400775927480861881871988657568
y[1] (numeric) = 2.4007759274808618818719886575682
absolute error = 2e-31
relative error = 8.3306400114508115720937406784482e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.758
y[1] (analytic) = 2.4017738937738161416196666116548
y[1] (numeric) = 2.401773893773816141619666611655
absolute error = 2e-31
relative error = 8.3271785291057349502255038026896e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.759
y[1] (analytic) = 2.40277176897122567129042781666
y[1] (numeric) = 2.4027717689712256712904278166602
absolute error = 2e-31
relative error = 8.3237202377166391046467205630144e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.76
y[1] (analytic) = 2.4037695510815903450796616244385
y[1] (numeric) = 2.4037695510815903450796616244387
absolute error = 2e-31
relative error = 8.3202651398096300688554038562923e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.761
y[1] (analytic) = 2.4047672381137823852380648696958
y[1] (numeric) = 2.4047672381137823852380648696959
absolute error = 1e-31
relative error = 4.1584066189473122621219019167269e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1346.6MB, alloc=4.6MB, time=59.42
x[1] = 4.762
y[1] (analytic) = 2.4057648280770543265800980305173
y[1] (numeric) = 2.4057648280770543265800980305175
absolute error = 2e-31
relative error = 8.3133645344653859467688167241450e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.763
y[1] (analytic) = 2.4067623189810469794711916409274
y[1] (numeric) = 2.4067623189810469794711916409276
absolute error = 2e-31
relative error = 8.3099190319995607617813227706791e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.764
y[1] (analytic) = 2.4077597088357973912618510172678
y[1] (numeric) = 2.4077597088357973912618510172679
absolute error = 1e-31
relative error = 4.1532383664793572532063991417182e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.765
y[1] (analytic) = 2.4087569956517468061368135725931
y[1] (numeric) = 2.4087569956517468061368135725933
absolute error = 2e-31
relative error = 8.3030376397883679989206152353598e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.766
y[1] (analytic) = 2.4097541774397486233474193330677
y[1] (numeric) = 2.4097541774397486233474193330679
absolute error = 2e-31
relative error = 8.2996017549180335143965056721863e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.767
y[1] (analytic) = 2.410751252211076353795361737491
y[1] (numeric) = 2.4107512522110763537953617374912
absolute error = 2e-31
relative error = 8.2961690807612509662457274657608e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.768
y[1] (analytic) = 2.4117482179774315749359923955586
y[1] (numeric) = 2.4117482179774315749359923955589
absolute error = 3e-31
relative error = 1.2439109429573436139271283778543e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.769
y[1] (analytic) = 2.4127450727509518839693602022464
y[1] (numeric) = 2.4127450727509518839693602022466
absolute error = 2e-31
relative error = 8.2893133741628566488105083826504e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.77
y[1] (analytic) = 2.4137418145442188492871720547637
y[1] (numeric) = 2.413741814544218849287172054764
absolute error = 3e-31
relative error = 1.2428835519703182900359533957105e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.771
y[1] (analytic) = 2.4147384413702659601438693948379
y[1] (numeric) = 2.4147384413702659601438693948382
absolute error = 3e-31
relative error = 1.2423705808475148485152219421554e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.772
y[1] (analytic) = 2.4157349512425865745200219026202
y[1] (numeric) = 2.4157349512425865745200219026205
absolute error = 3e-31
relative error = 1.2418580931061513209664251466799e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.773
y[1] (analytic) = 2.4167313421751418651462468992376
y[1] (numeric) = 2.4167313421751418651462468992379
absolute error = 3e-31
relative error = 1.2413460890939975779335418109062e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.774
y[1] (analytic) = 2.4177276121823687636558703729069
y[1] (numeric) = 2.4177276121823687636558703729073
absolute error = 4e-31
relative error = 1.6544460922086208575048642414353e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1350.4MB, alloc=4.6MB, time=59.58
x[1] = 4.775
y[1] (analytic) = 2.4187237592791879028345530285597
y[1] (numeric) = 2.4187237592791879028345530285601
absolute error = 4e-31
relative error = 1.6537647115154868325788838634314e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.776
y[1] (analytic) = 2.4197197814810115569351123730621
y[1] (numeric) = 2.4197197814810115569351123730625
absolute error = 4e-31
relative error = 1.6530839771668781933218705078678e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.777
y[1] (analytic) = 2.4207156768037515800257795873304
y[1] (numeric) = 2.4207156768037515800257795873308
absolute error = 4e-31
relative error = 1.6524038896139563657215060273038e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.778
y[1] (analytic) = 2.4217114432638273423401378028977
y[1] (numeric) = 2.4217114432638273423401378028981
absolute error = 4e-31
relative error = 1.6517244493047679455762869762402e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.779
y[1] (analytic) = 2.422707078878173664596996393761
y[1] (numeric) = 2.4227070788781736645969963937614
absolute error = 4e-31
relative error = 1.6510456566842519396200138067659e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.78
y[1] (analytic) = 2.4237025816642487502584640145904
y[1] (numeric) = 2.4237025816642487502584640145908
absolute error = 4e-31
relative error = 1.6503675121942470063152526123058e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.781
y[1] (analytic) = 2.424697949640042115694491363585
y[1] (numeric) = 2.4246979496400421156944913635854
absolute error = 4e-31
relative error = 1.6496900162734986962057392358261e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.782
y[1] (analytic) = 2.4256931808240825182221630223778
y[1] (numeric) = 2.4256931808240825182221630223782
absolute error = 4e-31
relative error = 1.6490131693576666917182921874888e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.783
y[1] (analytic) = 2.4266882732354458819880262263924
y[1] (numeric) = 2.4266882732354458819880262263928
absolute error = 4e-31
relative error = 1.6483369718793320463053963431409e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.784
y[1] (analytic) = 2.4276832248937632216617530469053
y[1] (numeric) = 2.4276832248937632216617530469057
absolute error = 4e-31
relative error = 1.6476614242680044228202138089332e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.785
y[1] (analytic) = 2.4286780338192285639094412207292
y[1] (numeric) = 2.4286780338192285639094412207295
absolute error = 3e-31
relative error = 1.2352398952125969982622787214957e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.786
y[1] (analytic) = 2.429672698032606866614867744876
y[1] (numeric) = 2.4296726980326068666148677448763
absolute error = 3e-31
relative error = 1.2347342102618215230491011268288e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.787
y[1] (analytic) = 2.4306672155552419358170183617449
y[1] (numeric) = 2.4306672155552419358170183617453
absolute error = 4e-31
relative error = 1.6456386848852414339858310348348e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1354.2MB, alloc=4.6MB, time=59.74
x[1] = 4.788
y[1] (analytic) = 2.4316615844090643403322251952726
y[1] (numeric) = 2.431661584409064340332225195273
absolute error = 4e-31
relative error = 1.6449657409758640058766492278450e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.789
y[1] (analytic) = 2.4326558026165993240292540600477
y[1] (numeric) = 2.4326558026165993240292540600481
absolute error = 4e-31
relative error = 1.6442934490352243308521909693964e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.79
y[1] (analytic) = 2.4336498682009747157256923535912
y[1] (numeric) = 2.4336498682009747157256923535916
absolute error = 4e-31
relative error = 1.6436218094745556775714061319593e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.791
y[1] (analytic) = 2.4346437791859288366739979567969
y[1] (numeric) = 2.4346437791859288366739979567973
absolute error = 4e-31
relative error = 1.6429508227020705622587985788250e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.792
y[1] (analytic) = 2.4356375335958184056055792088792
y[1] (numeric) = 2.4356375335958184056055792088796
absolute error = 4e-31
relative error = 1.6422804891229679771130388684356e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.793
y[1] (analytic) = 2.4366311294556264413012857910496
y[1] (numeric) = 2.43663112945562644130128579105
absolute error = 4e-31
relative error = 1.6416108091394406170003717406001e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.794
y[1] (analytic) = 2.4376245647909701626567002474939
y[1] (numeric) = 2.4376245647909701626567002474942
absolute error = 3e-31
relative error = 1.2307063373630115782478416650903e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.795
y[1] (analytic) = 2.4386178376281088862106298930181
y[1] (numeric) = 2.4386178376281088862106298930185
absolute error = 4e-31
relative error = 1.6402734115528942120128523743021e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.796
y[1] (analytic) = 2.439610945993951921105209003926
y[1] (numeric) = 2.4396109459939519211052090039264
absolute error = 4e-31
relative error = 1.6396056947392940843929677355414e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.797
y[1] (analytic) = 2.4406038879160664614460314622444
y[1] (numeric) = 2.4406038879160664614460314622448
absolute error = 4e-31
relative error = 1.6389386331001214560668181399238e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.798
y[1] (analytic) = 2.4415966614226854760307444232906
y[1] (numeric) = 2.441596661422685476030744423291
absolute error = 4e-31
relative error = 1.6382722270226458684745822289161e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.799
y[1] (analytic) = 2.4425892645427155954145441027263
y[1] (numeric) = 2.4425892645427155954145441027267
absolute error = 4e-31
relative error = 1.6376064768911738841734681052871e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.8
y[1] (analytic) = 2.4435816953057449962810254316301
y[1] (numeric) = 2.4435816953057449962810254316305
absolute error = 4e-31
relative error = 1.6369413830870562986910046179445e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1358.0MB, alloc=4.6MB, time=59.91
x[1] = 4.801
y[1] (analytic) = 2.4445739517420512830868481067041
y[1] (numeric) = 2.4445739517420512830868481067045
absolute error = 4e-31
relative error = 1.6362769459886953498604384651472e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.802
y[1] (analytic) = 2.4455660318826093669486924674575
y[1] (numeric) = 2.4455660318826093669486924674579
absolute error = 4e-31
relative error = 1.6356131659715519245404917433668e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.803
y[1] (analytic) = 2.4465579337590993417409896630505
y[1] (numeric) = 2.4465579337590993417409896630508
absolute error = 3e-31
relative error = 1.2262125325561145719667295413979e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.804
y[1] (analytic) = 2.4475496554039143573729217283776
y[1] (numeric) = 2.447549655403914357372921728378
absolute error = 4e-31
relative error = 1.6342875786680976582269694828566e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.805
y[1] (analytic) = 2.4485411948501684902131984718899
y[1] (numeric) = 2.4485411948501684902131984718902
absolute error = 3e-31
relative error = 1.2252193290885499934981937196056e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.806
y[1] (analytic) = 2.4495325501317046106311294865398
y[1] (numeric) = 2.4495325501317046106311294865401
absolute error = 3e-31
relative error = 1.2247234680913704422928446155829e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.807
y[1] (analytic) = 2.4505237192831022476225211300534
y[1] (numeric) = 2.4505237192831022476225211300537
absolute error = 3e-31
relative error = 1.2242281012801811909027799405015e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.808
y[1] (analytic) = 2.4515147003396854504889399814262
y[1] (numeric) = 2.4515147003396854504889399814264
absolute error = 2e-31
relative error = 8.1582215261563680795791298567587e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.809
y[1] (analytic) = 2.4525054913375306475388960670715
y[1] (numeric) = 2.4525054913375306475388960670717
absolute error = 2e-31
relative error = 8.1549256752499815937012735733309e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.81
y[1] (analytic) = 2.4534960903134745017795110623677
y[1] (numeric) = 2.4534960903134745017795110623679
absolute error = 2e-31
relative error = 8.1516331242429943581807656942763e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.811
y[1] (analytic) = 2.4544864953051217635672487124044
y[1] (numeric) = 2.4544864953051217635672487124046
absolute error = 2e-31
relative error = 8.1483438748819691292469810843744e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.812
y[1] (analytic) = 2.4554767043508531201862968794766
y[1] (numeric) = 2.4554767043508531201862968794768
absolute error = 2e-31
relative error = 8.1450579288991214194584377573529e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.813
y[1] (analytic) = 2.4564667154898330423232029142652
y[1] (numeric) = 2.4564667154898330423232029142654
absolute error = 2e-31
relative error = 8.1417752880123553559979893079921e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1361.9MB, alloc=4.6MB, time=60.07
x[1] = 4.814
y[1] (analytic) = 2.4574565267620176274063764626237
y[1] (numeric) = 2.457456526762017627406376462624
absolute error = 3e-31
relative error = 1.2207743930887949280369150705874e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.815
y[1] (analytic) = 2.4584461362081624397790863604182
y[1] (numeric) = 2.4584461362081624397790863604185
absolute error = 3e-31
relative error = 1.2202829892491014152270165654236e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.816
y[1] (analytic) = 2.4594355418698303476745909348858
y[1] (numeric) = 2.4594355418698303476745909348861
absolute error = 3e-31
relative error = 1.2197920819340505046725238559472e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.817
y[1] (analytic) = 2.4604247417893993569620538224406
y[1] (numeric) = 2.4604247417893993569620538224409
absolute error = 3e-31
relative error = 1.2193016713927947144877821709693e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.818
y[1] (analytic) = 2.4614137340100704416319103297084
y[1] (numeric) = 2.4614137340100704416319103297087
absolute error = 3e-31
relative error = 1.2188117578723667052278096640356e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.819
y[1] (analytic) = 2.4624025165758753709893624067654
y[1] (numeric) = 2.4624025165758753709893624067656
absolute error = 2e-31
relative error = 8.1221489441178976051595488077170e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.82
y[1] (analytic) = 2.4633910875316845335246934690367
y[1] (numeric) = 2.4633910875316845335246934690369
absolute error = 2e-31
relative error = 8.1188894858103836400697214013843e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.821
y[1] (analytic) = 2.464379444923214757429107597029
y[1] (numeric) = 2.4643794449232147574291075970292
absolute error = 2e-31
relative error = 8.1156333458312710748470300047820e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.822
y[1] (analytic) = 2.4653675867970371277248110609653
y[1] (numeric) = 2.4653675867970371277248110609655
absolute error = 2e-31
relative error = 8.1123805257712719545459996188879e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.823
y[1] (analytic) = 2.4663555112005847999780676604208
y[1] (numeric) = 2.466355511200584799978067660421
absolute error = 2e-31
relative error = 8.1091310272071444184072912405221e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.824
y[1] (analytic) = 2.4673432161821608105639730371554
y[1] (numeric) = 2.4673432161821608105639730371556
absolute error = 2e-31
relative error = 8.1058848517017283278013895861505e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.825
y[1] (analytic) = 2.4683306997909458834517069124601
y[1] (numeric) = 2.4683306997909458834517069124603
absolute error = 2e-31
relative error = 8.1026420008039808706285466975886e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.826
y[1] (analytic) = 2.4693179600770062334790361184168
y[1] (numeric) = 2.469317960077006233479036118417
absolute error = 2e-31
relative error = 8.0994024760490121417529747882166e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1365.7MB, alloc=4.6MB, time=60.23
x[1] = 4.827
y[1] (analytic) = 2.470304995091301366084855335464
y[1] (numeric) = 2.4703049950913013660848553354642
absolute error = 2e-31
relative error = 8.0961662789581206990519741947129e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.828
y[1] (analytic) = 2.4712918028856918734685666165053
y[1] (numeric) = 2.4712918028856918734685666165055
absolute error = 2e-31
relative error = 8.0929334110388290946633675424654e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.829
y[1] (analytic) = 2.472278381512947227145113070437
y[1] (numeric) = 2.4722783815129472271451130704372
absolute error = 2e-31
relative error = 8.0897038737849193810172891857026e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.83
y[1] (analytic) = 2.4732647290267535668644964953507
y[1] (numeric) = 2.4732647290267535668644964953509
absolute error = 2e-31
relative error = 8.0864776686764685912410496193975e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.831
y[1] (analytic) = 2.474250843481721485864623293725
y[1] (numeric) = 2.4742508434817214858646232937251
absolute error = 1e-31
relative error = 4.0416273985899420967642289265271e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.832
y[1] (analytic) = 2.4752367229333938124263376686031
y[1] (numeric) = 2.4752367229333938124263376686033
absolute error = 2e-31
relative error = 8.0800352607479395190676406609379e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.833
y[1] (analytic) = 2.4762223654382533876995158910001
y[1] (numeric) = 2.4762223654382533876995158910003
absolute error = 2e-31
relative error = 8.0768190608198091631240461539856e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.834
y[1] (analytic) = 2.4772077690537308397691103445309
y[1] (numeric) = 2.4772077690537308397691103445311
absolute error = 2e-31
relative error = 8.0736061988211043588779602308396e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.835
y[1] (analytic) = 2.4781929318382123539300470934506
y[1] (numeric) = 2.4781929318382123539300470934508
absolute error = 2e-31
relative error = 8.0703966761639083236184981348911e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.836
y[1] (analytic) = 2.4791778518510474391398958848755
y[1] (numeric) = 2.4791778518510474391398958848757
absolute error = 2e-31
relative error = 8.0671904942468115768986595471617e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.837
y[1] (analytic) = 2.4801625271525566906182467848613
y[1] (numeric) = 2.4801625271525566906182467848615
absolute error = 2e-31
relative error = 8.0639876544549472302586543578961e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.838
y[1] (analytic) = 2.4811469558040395485617430611811
y[1] (numeric) = 2.4811469558040395485617430611813
absolute error = 2e-31
relative error = 8.0607881581600262481273174600375e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.839
y[1] (analytic) = 2.4821311358677820529437354630174
y[1] (numeric) = 2.4821311358677820529437354630176
absolute error = 2e-31
relative error = 8.0575920067203726795140345728345e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1369.5MB, alloc=4.6MB, time=60.40
x[1] = 4.84
y[1] (analytic) = 2.4831150654070645943675387092902
y[1] (numeric) = 2.4831150654070645943675387092904
absolute error = 2e-31
relative error = 8.0543992014809588601061972117107e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.841
y[1] (analytic) = 2.4840987424861696609422867829297
y[1] (numeric) = 2.4840987424861696609422867829299
absolute error = 2e-31
relative error = 8.0512097437734405843897934496456e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.842
y[1] (analytic) = 2.4850821651703895811503995380023
y[1] (numeric) = 2.4850821651703895811503995380025
absolute error = 2e-31
relative error = 8.0480236349161922474133220445549e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.843
y[1] (analytic) = 2.4860653315260342626756891601462
y[1] (numeric) = 2.4860653315260342626756891601464
absolute error = 2e-31
relative error = 8.0448408762143419558177908158507e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.844
y[1] (analytic) = 2.48704823962043892716115117821
y[1] (numeric) = 2.4870482396204389271611511782102
absolute error = 2e-31
relative error = 8.0416614689598066077581258212444e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.845
y[1] (analytic) = 2.4880308875219718408655010062432
y[1] (numeric) = 2.4880308875219718408655010062435
absolute error = 3e-31
relative error = 1.2057728121646990412015813838201e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.846
y[1] (analytic) = 2.4890132733000420411875333999996
y[1] (numeric) = 2.4890132733000420411875333999999
absolute error = 3e-31
relative error = 1.2052969070841753826844471119793e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.847
y[1] (analytic) = 2.4899953950251070590273987408178
y[1] (numeric) = 2.4899953950251070590273987408181
absolute error = 3e-31
relative error = 1.2048215052902740309482370290181e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.848
y[1] (analytic) = 2.4909772507686806369539067120708
y[1] (numeric) = 2.4909772507686806369539067120711
absolute error = 3e-31
relative error = 1.2043466069689083202353065280418e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.849
y[1] (analytic) = 2.49195883860334044314698470926
y[1] (numeric) = 2.4919588386033404431469847092603
absolute error = 3e-31
relative error = 1.2038722123040361415215887994433e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.85
y[1] (analytic) = 2.4929401566027357810844352242062
y[1] (numeric) = 2.4929401566027357810844352242065
absolute error = 3e-31
relative error = 1.2033983214776651753482610271679e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.851
y[1] (analytic) = 2.4939212028415952949421534665863
y[1] (numeric) = 2.4939212028415952949421534665866
absolute error = 3e-31
relative error = 1.2029249346698581196043940066920e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.852
y[1] (analytic) = 2.4949019753957346706769836322205
y[1] (numeric) = 2.4949019753957346706769836322209
absolute error = 4e-31
relative error = 1.6032694027449838829432284870550e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1373.3MB, alloc=4.6MB, time=60.56
x[1] = 4.853
y[1] (analytic) = 2.4958824723420643327614094969524
y[1] (numeric) = 2.4958824723420643327614094969528
absolute error = 4e-31
relative error = 1.6026395650939905981715186322154e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.854
y[1] (analytic) = 2.4968626917585971365392924076214
y[1] (numeric) = 2.4968626917585971365392924076217
absolute error = 3e-31
relative error = 1.2015078001293822942113183779614e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.855
y[1] (analytic) = 2.4978426317244560561718872574328
y[1] (numeric) = 2.4978426317244560561718872574331
absolute error = 3e-31
relative error = 1.2010364311577408912293901279970e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.856
y[1] (analytic) = 2.4988222903198818681433846719123
y[1] (numeric) = 2.4988222903198818681433846719126
absolute error = 3e-31
relative error = 1.2005655670759847606350237882999e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.857
y[1] (analytic) = 2.4998016656262408302952453935197
y[1] (numeric) = 2.4998016656262408302952453935201
absolute error = 4e-31
relative error = 1.6001269440701549312584014493553e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.858
y[1] (analytic) = 2.5007807557260323563586107378246
y[1] (numeric) = 2.5007807557260323563586107378249
absolute error = 3e-31
relative error = 1.1996253542542289667065472066688e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.859
y[1] (analytic) = 2.5017595587028966859540910018329
y[1] (numeric) = 2.5017595587028966859540910018332
absolute error = 3e-31
relative error = 1.1991560058455134790172525438613e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.86
y[1] (analytic) = 2.50273807264162255002825183554
y[1] (numeric) = 2.5027380726416225500282518355403
absolute error = 3e-31
relative error = 1.1986871629892619805068834198229e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.861
y[1] (analytic) = 2.5037162956281548316961368409827
y[1] (numeric) = 2.503716295628154831696136840983
absolute error = 3e-31
relative error = 1.1982188258463737222732451858296e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.862
y[1] (analytic) = 2.5046942257496022224591830389162
y[1] (numeric) = 2.5046942257496022224591830389165
absolute error = 3e-31
relative error = 1.1977509945758601301974249400797e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.863
y[1] (analytic) = 2.5056718610942448737679043416611
y[1] (numeric) = 2.5056718610942448737679043416614
absolute error = 3e-31
relative error = 1.1972836693348499680977036531442e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.864
y[1] (analytic) = 2.5066491997515420438987367915898
y[1] (numeric) = 2.5066491997515420438987367915902
absolute error = 4e-31
relative error = 1.5957558003714593268962518477985e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.865
y[1] (analytic) = 2.5076262398121397401144580680665
y[1] (numeric) = 2.5076262398121397401144580680669
absolute error = 4e-31
relative error = 1.5951340500806301569090392994777e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1377.1MB, alloc=4.6MB, time=60.73
x[1] = 4.866
y[1] (analytic) = 2.5086029793678783560776126313518
y[1] (numeric) = 2.5086029793678783560776126313522
absolute error = 4e-31
relative error = 1.5945129751093280464339100708253e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.867
y[1] (analytic) = 2.509579416511800304486392859956
y[1] (numeric) = 2.5095794165118003044863928599564
absolute error = 4e-31
relative error = 1.5938925756570858383467480990223e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.868
y[1] (analytic) = 2.510555549338157644902445648092
y[1] (numeric) = 2.5105555493381576449024456480924
absolute error = 4e-31
relative error = 1.5932728519209604649569954540424e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.869
y[1] (analytic) = 2.5115313759424197067400931621729
y[1] (numeric) = 2.5115313759424197067400931621733
absolute error = 4e-31
relative error = 1.5926538040955397855644099247047e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.87
y[1] (analytic) = 2.512506894421280707386475809634
y[1] (numeric) = 2.5125068944212807073864758096345
absolute error = 5e-31
relative error = 1.9900442904661867700260278368669e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.871
y[1] (analytic) = 2.5134821028726673654221449496667
y[1] (numeric) = 2.5134821028726673654221449496672
absolute error = 5e-31
relative error = 1.9892721711785744377940286205938e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.872
y[1] (analytic) = 2.5144569993957465089116524736419
y[1] (numeric) = 2.5144569993957465089116524736424
absolute error = 5e-31
relative error = 1.9885008974906147169512209665578e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.873
y[1] (analytic) = 2.5154315820909326787337041030117
y[1] (numeric) = 2.5154315820909326787337041030122
absolute error = 5e-31
relative error = 1.9877304696332823350055409927252e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.874
y[1] (analytic) = 2.5164058490598957269204630942118
y[1] (numeric) = 2.5164058490598957269204630942122
absolute error = 4e-31
relative error = 1.5895687102676066091946596466303e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.875
y[1] (analytic) = 2.5173797984055684099756110034819
y[1] (numeric) = 2.5173797984055684099756110034823
absolute error = 4e-31
relative error = 1.5889537218553505550545044185596e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.876
y[1] (analytic) = 2.5183534282321539771407922494858
y[1] (numeric) = 2.5183534282321539771407922494862
absolute error = 4e-31
relative error = 1.5883394106473528261136327757422e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.877
y[1] (analytic) = 2.5193267366451337535800894180693
y[1] (numeric) = 2.5193267366451337535800894180697
absolute error = 4e-31
relative error = 1.5877257768186938774046705057408e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.878
y[1] (analytic) = 2.5202997217512747184521965813671
y[1] (numeric) = 2.5202997217512747184521965813675
absolute error = 4e-31
relative error = 1.5871128205420462618840255768798e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1380.9MB, alloc=4.6MB, time=60.89
x[1] = 4.879
y[1] (analytic) = 2.5212723816586370778399783526687
y[1] (numeric) = 2.5212723816586370778399783526691
absolute error = 4e-31
relative error = 1.5865005419876813853194275920635e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.88
y[1] (analytic) = 2.5222447144765818325071229689042
y[1] (numeric) = 2.5222447144765818325071229689046
absolute error = 4e-31
relative error = 1.5858889413234762525866776282428e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.881
y[1] (analytic) = 2.5232167183157783404516183842286
y[1] (numeric) = 2.523216718315778340451618384229
absolute error = 4e-31
relative error = 1.5852780187149202053185559414032e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.882
y[1] (analytic) = 2.5241883912882118742258011708831
y[1] (numeric) = 2.5241883912882118742258011708836
absolute error = 5e-31
relative error = 1.9808347179064020635616098537212e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.883
y[1] (analytic) = 2.5251597315071911729927489572149
y[1] (numeric) = 2.5251597315071911729927489572154
absolute error = 5e-31
relative error = 1.9800727603935184779980245193646e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.884
y[1] (analytic) = 2.5261307370873559892888081873537
y[1] (numeric) = 2.5261307370873559892888081873542
absolute error = 5e-31
relative error = 1.9793116510529578630480060400569e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.885
y[1] (analytic) = 2.5271014061446846304620701624982
y[1] (numeric) = 2.5271014061446846304620701624987
absolute error = 5e-31
relative error = 1.9785513900797275814883145935958e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.886
y[1] (analytic) = 2.5280717367965014947566296199624
y[1] (numeric) = 2.5280717367965014947566296199629
absolute error = 5e-31
relative error = 1.9777919776658923627440317650089e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.887
y[1] (analytic) = 2.5290417271614846020124815229953
y[1] (numeric) = 2.5290417271614846020124815229958
absolute error = 5e-31
relative error = 1.9770334140005826586248089585532e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.888
y[1] (analytic) = 2.530011375359673118950933271829
y[1] (numeric) = 2.5300113753596731189509332718295
absolute error = 5e-31
relative error = 1.9762756992700029877678401286940e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.889
y[1] (analytic) = 2.5309806795124748790154312043388
y[1] (numeric) = 2.5309806795124748790154312043392
absolute error = 4e-31
relative error = 1.5804150669259522149765719443614e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.89
y[1] (analytic) = 2.5319496377426738967377220330361
y[1] (numeric) = 2.5319496377426738967377220330365
absolute error = 4e-31
relative error = 1.5798102538746177132782865598007e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.891
y[1] (analytic) = 2.5329182481744378765992917637686
y[1] (numeric) = 2.532918248174437876599291763769
absolute error = 4e-31
relative error = 1.5792061204039802225958475572455e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1384.7MB, alloc=4.6MB, time=61.05
x[1] = 4.892
y[1] (analytic) = 2.5338865089333257163580466603819
y[1] (numeric) = 2.5338865089333257163580466603823
absolute error = 4e-31
relative error = 1.5786026666537069446761134216279e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.893
y[1] (analytic) = 2.534854418146295004810222958625
y[1] (numeric) = 2.5348544181462950048102229586253
absolute error = 3e-31
relative error = 1.1834999195708681813432180130669e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.894
y[1] (analytic) = 2.5358219739417095139575342916563
y[1] (numeric) = 2.5358219739417095139575342916566
absolute error = 3e-31
relative error = 1.1830483491460431927322117009278e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.895
y[1] (analytic) = 2.5367891744493466855495881685518
y[1] (numeric) = 2.5367891744493466855495881685521
absolute error = 3e-31
relative error = 1.1825972888153786436534518856947e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.896
y[1] (analytic) = 2.5377560178004051119716253461292
y[1] (numeric) = 2.5377560178004051119716253461296
absolute error = 4e-31
relative error = 1.5761956515689762397740951166955e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.897
y[1] (analytic) = 2.5387225021275120114476585531077
y[1] (numeric) = 2.538722502127512011447658553108
absolute error = 3e-31
relative error = 1.1816966988262506356480889644904e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.898
y[1] (analytic) = 2.5396886255647306975291097640124
y[1] (numeric) = 2.5396886255647306975291097640127
absolute error = 3e-31
relative error = 1.1812471693583749709057181956207e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.899
y[1] (analytic) = 2.540654386247568042839068078237
y[1] (numeric) = 2.5406543862475680428390680782374
absolute error = 4e-31
relative error = 1.5743975338211269338313094403205e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.9
y[1] (analytic) = 2.5416197823129819370423132371822
y[1] (numeric) = 2.5416197823129819370423132371826
absolute error = 4e-31
relative error = 1.5737995225862737548147869420893e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.901
y[1] (analytic) = 2.5425848118993887390112729093205
y[1] (numeric) = 2.5425848118993887390112729093209
absolute error = 4e-31
relative error = 1.5732021922257442700204652846855e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.902
y[1] (analytic) = 2.5435494731466707231581050892953
y[1] (numeric) = 2.5435494731466707231581050892957
absolute error = 4e-31
relative error = 1.5726055428564273920795891550670e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.903
y[1] (analytic) = 2.544513764196183519903120292652
y[1] (numeric) = 2.5445137641961835199031202926524
absolute error = 4e-31
relative error = 1.5720095745929703009203075179926e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.904
y[1] (analytic) = 2.5454776831907635502497816824337
y[1] (numeric) = 2.545477683190763550249781682434
absolute error = 3e-31
relative error = 1.1785607156608387258430404908298e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1388.6MB, alloc=4.6MB, time=61.22
x[1] = 4.905
y[1] (analytic) = 2.5464412282747354544365448375531
y[1] (numeric) = 2.5464412282747354544365448375535
absolute error = 4e-31
relative error = 1.5708196818310546693969394141753e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.906
y[1] (analytic) = 2.5474043975939195146358225654877
y[1] (numeric) = 2.547404397593919514635822565488
absolute error = 3e-31
relative error = 1.1776693181630553690824527752705e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.907
y[1] (analytic) = 2.5483671892956390716703839733335
y[1] (numeric) = 2.5483671892956390716703839733339
absolute error = 4e-31
relative error = 1.5696325148125878261953859719092e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.908
y[1] (analytic) = 2.5493296015287279357175209415134
y[1] (numeric) = 2.5493296015287279357175209415138
absolute error = 4e-31
relative error = 1.5690399537201328500210826859721e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.909
y[1] (analytic) = 2.5502916324435377909713391933514
y[1] (numeric) = 2.5502916324435377909713391933518
absolute error = 4e-31
relative error = 1.5684480743747090041969721088779e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.91
y[1] (analytic) = 2.5512532801919455942335553212249
y[1] (numeric) = 2.5512532801919455942335553212253
absolute error = 4e-31
relative error = 1.5678568768754534556031907995946e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.911
y[1] (analytic) = 2.5522145429273609674032054159686
y[1] (numeric) = 2.552214542927360967403205415969
absolute error = 4e-31
relative error = 1.5672663613193135512619533159043e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.912
y[1] (analytic) = 2.5531754188047335838356953505549
y[1] (numeric) = 2.5531754188047335838356953505553
absolute error = 4e-31
relative error = 1.5666765278010532620095103105769e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.913
y[1] (analytic) = 2.5541359059805605485416472916959
y[1] (numeric) = 2.5541359059805605485416472916962
absolute error = 3e-31
relative error = 1.1745655323099447119436068801953e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.914
y[1] (analytic) = 2.5550960026128937721960216538223
y[1] (numeric) = 2.5550960026128937721960216538226
absolute error = 3e-31
relative error = 1.1741241804347618411039165532077e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.915
y[1] (analytic) = 2.5560557068613473389280184687839
y[1] (numeric) = 2.5560557068613473389280184687843
absolute error = 4e-31
relative error = 1.5649111203885741803134386314684e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.916
y[1] (analytic) = 2.5570150168871048678622870214887
y[1] (numeric) = 2.557015016887104867862287021489
absolute error = 3e-31
relative error = 1.1732430119445221173150134811287e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.917
y[1] (analytic) = 2.5579739308529268683819975964577
y[1] (numeric) = 2.557973930852926868381997596458
absolute error = 3e-31
relative error = 1.1728031954569938260748679426331e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1392.4MB, alloc=4.6MB, time=61.38
x[1] = 4.918
y[1] (analytic) = 2.5589324469231580890843542928167
y[1] (numeric) = 2.5589324469231580890843542928171
absolute error = 4e-31
relative error = 1.5631518545202594695742947670727e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.919
y[1] (analytic) = 2.5598905632637348603991530954712
y[1] (numeric) = 2.5598905632637348603991530954715
absolute error = 3e-31
relative error = 1.1719250983038693665439186372390e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.92
y[1] (analytic) = 2.5608482780421924308410147380217
y[1] (numeric) = 2.560848278042192430841014738022
absolute error = 3e-31
relative error = 1.1714868177561638907295946483405e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.921
y[1] (analytic) = 2.5618055894276722968659473582719
y[1] (numeric) = 2.5618055894276722968659473582722
absolute error = 3e-31
relative error = 1.1710490493036295594332207987592e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.922
y[1] (analytic) = 2.56276249559092952630291952985
y[1] (numeric) = 2.5627624955909295263029195298503
absolute error = 3e-31
relative error = 1.1706117930012281249953179811561e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.923
y[1] (analytic) = 2.5637189947043400753311499534167
y[1] (numeric) = 2.563718994704340075331149953417
absolute error = 3e-31
relative error = 1.1701750489023364539247534480115e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.924
y[1] (analytic) = 2.5646750849419080989738459080568
y[1] (numeric) = 2.5646750849419080989738459080571
absolute error = 3e-31
relative error = 1.1697388170587512654013354468503e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.925
y[1] (analytic) = 2.5656307644792732550791484976483
y[1] (numeric) = 2.5656307644792732550791484976486
absolute error = 3e-31
relative error = 1.1693030975206938617287043255794e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.926
y[1] (analytic) = 2.5665860314937180017590687781658
y[1] (numeric) = 2.5665860314937180017590687781661
absolute error = 3e-31
relative error = 1.1688678903368148507088050281085e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.927
y[1] (analytic) = 2.5675408841641748882572250199048
y[1] (numeric) = 2.5675408841641748882572250199051
absolute error = 3e-31
relative error = 1.1684331955541988599095106180443e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.928
y[1] (analytic) = 2.5684953206712338392162176433979
y[1] (numeric) = 2.5684953206712338392162176433981
absolute error = 2e-31
relative error = 7.7866600881224616186483331771810e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.929
y[1] (analytic) = 2.5694493391971494323155047692358
y[1] (numeric) = 2.569449339197149432315504769236
absolute error = 2e-31
relative error = 7.7837689558219518447118341384400e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.93
y[1] (analytic) = 2.5704029379258481692506678399954
y[1] (numeric) = 2.5704029379258481692506678399956
absolute error = 2e-31
relative error = 7.7808812404092290174698978760464e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1396.2MB, alloc=4.6MB, time=61.55
x[1] = 4.931
y[1] (analytic) = 2.5713561150429357400249834069053
y[1] (numeric) = 2.5713561150429357400249834069055
absolute error = 2e-31
relative error = 7.7779969421567443781999997777893e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.932
y[1] (analytic) = 2.5723088687357042805242439246494
y[1] (numeric) = 2.5723088687357042805242439246495
absolute error = 1e-31
relative error = 3.8875580306633328125098957328925e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.933
y[1] (analytic) = 2.5732611971931396233457972646998
y[1] (numeric) = 2.5732611971931396233457972646999
absolute error = 1e-31
relative error = 3.8861192990854540065944971945503e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.934
y[1] (analytic) = 2.5742130986059285418528016406914
y[1] (numeric) = 2.5742130986059285418528016406915
absolute error = 1e-31
relative error = 3.8846822764655827000456771892751e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.935
y[1] (analytic) = 2.5751645711664659874247197384749
y[1] (numeric) = 2.575164571166465987424719738475
absolute error = 1e-31
relative error = 3.8832469629194706173610083763609e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.936
y[1] (analytic) = 2.5761156130688623198751030585224
y[1] (numeric) = 2.5761156130688623198751030585226
absolute error = 2e-31
relative error = 7.7636267171155794915075073999840e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.937
y[1] (analytic) = 2.5770662225089505310077448091894
y[1] (numeric) = 2.5770662225089505310077448091895
absolute error = 1e-31
relative error = 3.8803814634861477741436615536022e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.938
y[1] (analytic) = 2.578016397684293461282307135851
y[1] (numeric) = 2.5780163976842934612823071358511
absolute error = 1e-31
relative error = 3.8789512778051035041439721356215e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.939
y[1] (analytic) = 2.5789661367941910095605560330284
y[1] (numeric) = 2.5789661367941910095605560330286
absolute error = 2e-31
relative error = 7.7550456032203644659218850232185e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.94
y[1] (analytic) = 2.5799154380396873359043649641767
y[1] (numeric) = 2.5799154380396873359043649641769
absolute error = 2e-31
relative error = 7.7521920699837822162461897276166e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.941
y[1] (analytic) = 2.5808642996235780573966760067239
y[1] (numeric) = 2.5808642996235780573966760067241
absolute error = 2e-31
relative error = 7.7493419560714689079165707981274e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.942
y[1] (analytic) = 2.5818127197504174369566352481119
y[1] (numeric) = 2.5818127197504174369566352481122
absolute error = 3e-31
relative error = 1.1619742892466687209212741214370e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.943
y[1] (analytic) = 2.582760696626525565120147181882
y[1] (numeric) = 2.5827606966265255651201471818823
absolute error = 3e-31
relative error = 1.1615477980280758498217432985798e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1400.0MB, alloc=4.6MB, time=61.72
x[1] = 4.944
y[1] (analytic) = 2.5837082284599955347571209911628
y[1] (numeric) = 2.5837082284599955347571209911631
absolute error = 3e-31
relative error = 1.1611218197761179818458677546326e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.945
y[1] (analytic) = 2.5846553134607006086967098601427
y[1] (numeric) = 2.584655313460700608696709860143
absolute error = 3e-31
relative error = 1.1606963545104888355242615115688e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.946
y[1] (analytic) = 2.5856019498403013802318728221259
y[1] (numeric) = 2.5856019498403013802318728221262
absolute error = 3e-31
relative error = 1.1602714022494041441667613737583e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.947
y[1] (analytic) = 2.5865481358122529264746171354719
y[1] (numeric) = 2.5865481358122529264746171354722
absolute error = 3e-31
relative error = 1.1598469630096062024504911650455e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.948
y[1] (analytic) = 2.5874938695918119545333077759869
y[1] (numeric) = 2.5874938695918119545333077759872
absolute error = 3e-31
relative error = 1.1594230368063684043676780877351e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.949
y[1] (analytic) = 2.5884391493960439404834593460574
y[1] (numeric) = 2.5884391493960439404834593460576
absolute error = 2e-31
relative error = 7.7266641576899984834050057481789e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.95
y[1] (analytic) = 2.5893839734438302611034545268763
y[1] (numeric) = 2.5893839734438302611034545268766
absolute error = 3e-31
relative error = 1.1585767235633494786725065375464e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.951
y[1] (analytic) = 2.590328339955875318346662140399
y[1] (numeric) = 2.5903283399558753183466621403992
absolute error = 2e-31
relative error = 7.7210289103120757049292594517607e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.952
y[1] (analytic) = 2.5912722471547136565214569420523
y[1] (numeric) = 2.5912722471547136565214569420526
absolute error = 3e-31
relative error = 1.1577324626133284008561764290396e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.953
y[1] (analytic) = 2.5922156932647170721506724336118
y[1] (numeric) = 2.5922156932647170721506724336121
absolute error = 3e-31
relative error = 1.1573111017708972698406309585462e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.954
y[1] (analytic) = 2.5931586765121017164820472679112
y[1] (numeric) = 2.5931586765121017164820472679115
absolute error = 3e-31
relative error = 1.1568902540260727628269117316403e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.955
y[1] (analytic) = 2.5941011951249351906212552130719
y[1] (numeric) = 2.5941011951249351906212552130722
absolute error = 3e-31
relative error = 1.1564699193839723011168096591649e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.956
y[1] (analytic) = 2.5950432473331436332591381535911
y[1] (numeric) = 2.5950432473331436332591381535913
absolute error = 2e-31
relative error = 7.7070006523218693014540518972686e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.957
memory used=1403.8MB, alloc=4.6MB, time=61.89
y[1] (analytic) = 2.5959848313685188009647912288068
y[1] (numeric) = 2.595984831368518800964791228807
absolute error = 2e-31
relative error = 7.7042052628083540269974832844125e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.958
y[1] (analytic) = 2.5969259454647251410161789458408
y[1] (numeric) = 2.596925945464725141016178945841
absolute error = 2e-31
relative error = 7.7014132940248165686181867284891e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.959
y[1] (analytic) = 2.5978665878573068567399909539841
y[1] (numeric) = 2.5978665878573068567399909539843
absolute error = 2e-31
relative error = 7.6986247459673402457960895222293e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.96
y[1] (analytic) = 2.5988067567836949653324761305232
y[1] (numeric) = 2.5988067567836949653324761305234
absolute error = 2e-31
relative error = 7.6958396186225741968477803160924e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.961
y[1] (analytic) = 2.5997464504832143481330237040809
y[1] (numeric) = 2.5997464504832143481330237040811
absolute error = 2e-31
relative error = 7.6930579119677628700748478793227e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.962
y[1] (analytic) = 2.6006856671970907933222903305474
y[1] (numeric) = 2.6006856671970907933222903305476
absolute error = 2e-31
relative error = 7.6902796259707754553665457287349e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.963
y[1] (analytic) = 2.601624405168458031016702338484
y[1] (numeric) = 2.6016244051684580310167023384842
absolute error = 2e-31
relative error = 7.6875047605901352561302791553879e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.964
y[1] (analytic) = 2.6025626626423647607311927753703
y[1] (numeric) = 2.6025626626423647607311927753705
absolute error = 2e-31
relative error = 7.6847333157750490014250173520199e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.965
y[1] (analytic) = 2.6035004378657816711820634131166
y[1] (numeric) = 2.6035004378657816711820634131168
absolute error = 2e-31
relative error = 7.6819652914654360981743318508118e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.966
y[1] (analytic) = 2.6044377290876084524018925107534
y[1] (numeric) = 2.6044377290876084524018925107536
absolute error = 2e-31
relative error = 7.6792006875919578233373533357121e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.967
y[1] (analytic) = 2.6053745345586808001384398840165
y[1] (numeric) = 2.6053745345586808001384398840167
absolute error = 2e-31
relative error = 7.6764395040760464559175221103036e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.968
y[1] (analytic) = 2.6063108525317774125095316955463
y[1] (numeric) = 2.6063108525317774125095316955465
absolute error = 2e-31
relative error = 7.6736817408299343486905830952799e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.969
y[1] (analytic) = 2.6072466812616269788859383554913
y[1] (numeric) = 2.6072466812616269788859383554915
absolute error = 2e-31
relative error = 7.6709273977566829395348442134477e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.97
y[1] (analytic) = 2.6081820190049151609742900103224
y[1] (numeric) = 2.6081820190049151609742900103226
absolute error = 2e-31
relative error = 7.6681764747502117022482774093196e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=1407.6MB, alloc=4.6MB, time=62.05
TOP MAIN SOLVE Loop
x[1] = 4.971
y[1] (analytic) = 2.6091168640202915660721052975048
y[1] (numeric) = 2.609116864020291566072105297505
absolute error = 2e-31
relative error = 7.6654289716953270367385943595037e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.972
y[1] (analytic) = 2.6100512145683767124670403552092
y[1] (numeric) = 2.6100512145683767124670403552093
absolute error = 1e-31
relative error = 3.8313424442338755492369870870374e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.973
y[1] (analytic) = 2.610985068911768986952496499354
y[1] (numeric) = 2.6109850689117689869524964993542
absolute error = 2e-31
relative error = 7.6599442249341505670836580828666e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.974
y[1] (analytic) = 2.6119184253150515944317565148253
y[1] (numeric) = 2.6119184253150515944317565148255
absolute error = 2e-31
relative error = 7.6572069809521653539991562592844e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.975
y[1] (analytic) = 2.6128512820447994995828511535933
y[1] (numeric) = 2.6128512820447994995828511535935
absolute error = 2e-31
relative error = 7.6544731563704372490283345730402e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.976
y[1] (analytic) = 2.6137836373695863605563891895177
y[1] (numeric) = 2.6137836373695863605563891895179
absolute error = 2e-31
relative error = 7.6517427510286385057561641974802e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.977
y[1] (analytic) = 2.6147154895599914546786162477644
y[1] (numeric) = 2.6147154895599914546786162477645
absolute error = 1e-31
relative error = 3.8245078823787501828337123212440e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.978
y[1] (analytic) = 2.6156468368886065961319996058332
y[1] (numeric) = 2.6156468368886065961319996058333
absolute error = 1e-31
relative error = 3.8231460986894207604440754779252e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.979
y[1] (analytic) = 2.616577677630043045585668253082
y[1] (numeric) = 2.6165776776300430455856682530821
absolute error = 1e-31
relative error = 3.8217860243527982577220542751341e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.98
y[1] (analytic) = 2.6175080100609384117480696961981
y[1] (numeric) = 2.6175080100609384117480696961981
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.981
y[1] (analytic) = 2.6184378324599635448142373091926
y[1] (numeric) = 2.6184378324599635448142373091927
absolute error = 1e-31
relative error = 3.8190710033414177172665505420354e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.982
y[1] (analytic) = 2.6193671431078294217800944480406
y[1] (numeric) = 2.6193671431078294217800944480406
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.983
y[1] (analytic) = 2.6202959402872940235962540819284
y[1] (numeric) = 2.6202959402872940235962540819284
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1411.4MB, alloc=4.6MB, time=62.22
x[1] = 4.984
y[1] (analytic) = 2.6212242222831692041338053350825
y[1] (numeric) = 2.6212242222831692041338053350825
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.985
y[1] (analytic) = 2.6221519873823275509346110851891
y[1] (numeric) = 2.6221519873823275509346110851891
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.986
y[1] (analytic) = 2.6230792338737092377186736263644
y[1] (numeric) = 2.6230792338737092377186736263644
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.987
y[1] (analytic) = 2.6240059600483288686211583763475
y[1] (numeric) = 2.6240059600483288686211583763475
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.988
y[1] (analytic) = 2.6249321641992823141316986889483
y[1] (numeric) = 2.6249321641992823141316986889483
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.989
y[1] (analytic) = 2.6258578446217535387086380236448
y[1] (numeric) = 2.6258578446217535387086380236448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.99
y[1] (analytic) = 2.6267829996130214200408990244651
y[1] (numeric) = 2.626782999613021420040899024465
absolute error = 1e-31
relative error = 3.8069379927741284523449719444364e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.991
y[1] (analytic) = 2.6277076274724665599302024697692
y[1] (numeric) = 2.6277076274724665599302024697692
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.992
y[1] (analytic) = 2.6286317265015780867663925731383
y[1] (numeric) = 2.6286317265015780867663925731383
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.993
y[1] (analytic) = 2.6295552950039604495686587431367
y[1] (numeric) = 2.6295552950039604495686587431367
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.994
y[1] (analytic) = 2.6304783312853402035654776461218
y[1] (numeric) = 2.6304783312853402035654776461218
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.995
y[1] (analytic) = 2.6314008336535727872861332613785
y[1] (numeric) = 2.6314008336535727872861332613786
absolute error = 1e-31
relative error = 3.8002572136132843203726885176912e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.996
y[1] (analytic) = 2.6323228004186492911367065715362
y[1] (numeric) = 2.6323228004186492911367065715362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1415.3MB, alloc=4.6MB, time=62.38
x[1] = 4.997
y[1] (analytic) = 2.6332442298927032174334605933314
y[1] (numeric) = 2.6332442298927032174334605933314
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.998
y[1] (analytic) = 2.6341651203900172318665806241931
y[1] (numeric) = 2.6341651203900172318665806241931
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 4.999
y[1] (analytic) = 2.6350854702270299063672638586885
y[1] (numeric) = 2.6350854702270299063672638586885
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
Finished!
diff ( y , x , 1 ) = sin(x) * sin(x);
Iterations = 4900
Total Elapsed Time = 1 Minutes 2 Seconds
Elapsed Time(since restart) = 1 Minutes 2 Seconds
Time to Timeout = 1 Minutes 57 Seconds
Percent Done = 100 %
> quit
memory used=1416.0MB, alloc=4.6MB, time=62.42