|\^/| Maple 12 (IBM INTEL LINUX)
._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2008
\ MAPLE / All rights reserved. Maple is a trademark of
<____ ____> Waterloo Maple Inc.
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> #BEGIN OUTFILE1
> # Begin Function number 3
> check_sign := proc( x0 ,xf)
> local ret;
> if (xf > x0) then # if number 1
> ret := 1.0;
> else
> ret := -1.0;
> fi;# end if 1;
> ret;;
> end;
check_sign := proc(x0, xf)
local ret;
if x0 < xf then ret := 1.0 else ret := -1.0 end if; ret
end proc
> # End Function number 3
> # Begin Function number 4
> est_size_answer := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D1,
> array_const_0D2,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local min_size;
> min_size := glob_large_float;
> if (omniabs(array_y[1]) < min_size) then # if number 1
> min_size := omniabs(array_y[1]);
> omniout_float(ALWAYS,"min_size",32,min_size,32,"");
> fi;# end if 1;
> if (min_size < 1.0) then # if number 1
> min_size := 1.0;
> omniout_float(ALWAYS,"min_size",32,min_size,32,"");
> fi;# end if 1;
> min_size;
> end;
est_size_answer := proc()
local min_size;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_0D1, array_const_0D2, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4, array_tmp5,
array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
min_size := glob_large_float;
if omniabs(array_y[1]) < min_size then
min_size := omniabs(array_y[1]);
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")
end if;
if min_size < 1.0 then
min_size := 1.0;
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")
end if;
min_size
end proc
> # End Function number 4
> # Begin Function number 5
> test_suggested_h := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D1,
> array_const_0D2,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local max_value3,hn_div_ho,hn_div_ho_2,hn_div_ho_3,value3,no_terms;
> max_value3 := 0.0;
> no_terms := glob_max_terms;
> hn_div_ho := 0.5;
> hn_div_ho_2 := 0.25;
> hn_div_ho_3 := 0.125;
> omniout_float(ALWAYS,"hn_div_ho",32,hn_div_ho,32,"");
> omniout_float(ALWAYS,"hn_div_ho_2",32,hn_div_ho_2,32,"");
> omniout_float(ALWAYS,"hn_div_ho_3",32,hn_div_ho_3,32,"");
> value3 := omniabs(array_y[no_terms-3] + array_y[no_terms - 2] * hn_div_ho + array_y[no_terms - 1] * hn_div_ho_2 + array_y[no_terms] * hn_div_ho_3);
> if (value3 > max_value3) then # if number 1
> max_value3 := value3;
> omniout_float(ALWAYS,"value3",32,value3,32,"");
> fi;# end if 1;
> omniout_float(ALWAYS,"max_value3",32,max_value3,32,"");
> max_value3;
> end;
test_suggested_h := proc()
local max_value3, hn_div_ho, hn_div_ho_2, hn_div_ho_3, value3, no_terms;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_0D1, array_const_0D2, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4, array_tmp5,
array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
max_value3 := 0.;
no_terms := glob_max_terms;
hn_div_ho := 0.5;
hn_div_ho_2 := 0.25;
hn_div_ho_3 := 0.125;
omniout_float(ALWAYS, "hn_div_ho", 32, hn_div_ho, 32, "");
omniout_float(ALWAYS, "hn_div_ho_2", 32, hn_div_ho_2, 32, "");
omniout_float(ALWAYS, "hn_div_ho_3", 32, hn_div_ho_3, 32, "");
value3 := omniabs(array_y[no_terms - 3]
+ array_y[no_terms - 2]*hn_div_ho
+ array_y[no_terms - 1]*hn_div_ho_2
+ array_y[no_terms]*hn_div_ho_3);
if max_value3 < value3 then
max_value3 := value3;
omniout_float(ALWAYS, "value3", 32, value3, 32, "")
end if;
omniout_float(ALWAYS, "max_value3", 32, max_value3, 32, "");
max_value3
end proc
> # End Function number 5
> # Begin Function number 6
> reached_interval := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D1,
> array_const_0D2,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local ret;
> if (glob_check_sign * (array_x[1]) >= glob_check_sign * glob_next_display) then # if number 1
> ret := true;
> else
> ret := false;
> fi;# end if 1;
> return(ret);
> end;
reached_interval := proc()
local ret;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_0D1, array_const_0D2, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4, array_tmp5,
array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
if glob_check_sign*glob_next_display <= glob_check_sign*array_x[1] then
ret := true
else ret := false
end if;
return ret
end proc
> # End Function number 6
> # Begin Function number 7
> display_alot := proc(iter)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D1,
> array_const_0D2,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
> #TOP DISPLAY ALOT
> if (reached_interval()) then # if number 1
> if (iter >= 0) then # if number 2
> ind_var := array_x[1];
> omniout_float(ALWAYS,"x[1] ",33,ind_var,20," ");
> analytic_val_y := exact_soln_y(ind_var);
> omniout_float(ALWAYS,"y[1] (analytic) ",33,analytic_val_y,20," ");
> term_no := 1;
> numeric_val := array_y[term_no];
> abserr := omniabs(numeric_val - analytic_val_y);
> omniout_float(ALWAYS,"y[1] (numeric) ",33,numeric_val,20," ");
> if (omniabs(analytic_val_y) <> 0.0) then # if number 3
> relerr := abserr*100.0/omniabs(analytic_val_y);
> if (relerr > 0.0000000000000000000000000000000001) then # if number 4
> glob_good_digits := -trunc(log10(relerr)) + 2;
> else
> glob_good_digits := Digits;
> fi;# end if 4;
> else
> relerr := -1.0 ;
> glob_good_digits := -1;
> fi;# end if 3;
> if (glob_iter = 1) then # if number 3
> array_1st_rel_error[1] := relerr;
> else
> array_last_rel_error[1] := relerr;
> fi;# end if 3;
> omniout_float(ALWAYS,"absolute error ",4,abserr,20," ");
> omniout_float(ALWAYS,"relative error ",4,relerr,20,"%");
> omniout_int(INFO,"Correct digits ",32,glob_good_digits,4," ")
> ;
> omniout_float(ALWAYS,"h ",4,glob_h,20," ");
> fi;# end if 2;
> #BOTTOM DISPLAY ALOT
> fi;# end if 1;
> end;
display_alot := proc(iter)
local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_0D1, array_const_0D2, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4, array_tmp5,
array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
if reached_interval() then
if 0 <= iter then
ind_var := array_x[1];
omniout_float(ALWAYS, "x[1] ", 33,
ind_var, 20, " ");
analytic_val_y := exact_soln_y(ind_var);
omniout_float(ALWAYS, "y[1] (analytic) ", 33,
analytic_val_y, 20, " ");
term_no := 1;
numeric_val := array_y[term_no];
abserr := omniabs(numeric_val - analytic_val_y);
omniout_float(ALWAYS, "y[1] (numeric) ", 33,
numeric_val, 20, " ");
if omniabs(analytic_val_y) <> 0. then
relerr := abserr*100.0/omniabs(analytic_val_y);
if 0.1*10^(-33) < relerr then
glob_good_digits := -trunc(log10(relerr)) + 2
else glob_good_digits := Digits
end if
else relerr := -1.0; glob_good_digits := -1
end if;
if glob_iter = 1 then array_1st_rel_error[1] := relerr
else array_last_rel_error[1] := relerr
end if;
omniout_float(ALWAYS, "absolute error ", 4,
abserr, 20, " ");
omniout_float(ALWAYS, "relative error ", 4,
relerr, 20, "%");
omniout_int(INFO, "Correct digits ", 32,
glob_good_digits, 4, " ");
omniout_float(ALWAYS, "h ", 4,
glob_h, 20, " ")
end if
end if
end proc
> # End Function number 7
> # Begin Function number 8
> adjust_for_pole := proc(h_param)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D1,
> array_const_0D2,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local hnew, sz2, tmp;
> #TOP ADJUST FOR POLE
> hnew := h_param;
> glob_normmax := glob_small_float;
> if (omniabs(array_y_higher[1,1]) > glob_small_float) then # if number 1
> tmp := omniabs(array_y_higher[1,1]);
> if (tmp < glob_normmax) then # if number 2
> glob_normmax := tmp;
> fi;# end if 2
> fi;# end if 1;
> if (glob_look_poles and (omniabs(array_pole[1]) > glob_small_float) and (array_pole[1] <> glob_large_float)) then # if number 1
> sz2 := array_pole[1]/10.0;
> if (sz2 < hnew) then # if number 2
> omniout_float(INFO,"glob_h adjusted to ",20,h_param,12,"due to singularity.");
> omniout_str(INFO,"Reached Optimal");
> return(hnew);
> fi;# end if 2
> fi;# end if 1;
> if ( not glob_reached_optimal_h) then # if number 1
> glob_reached_optimal_h := true;
> glob_curr_iter_when_opt := glob_current_iter;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> glob_optimal_start := array_x[1];
> fi;# end if 1;
> hnew := sz2;
> ;#END block
> return(hnew);
> #BOTTOM ADJUST FOR POLE
> end;
adjust_for_pole := proc(h_param)
local hnew, sz2, tmp;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_0D1, array_const_0D2, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4, array_tmp5,
array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
hnew := h_param;
glob_normmax := glob_small_float;
if glob_small_float < omniabs(array_y_higher[1, 1]) then
tmp := omniabs(array_y_higher[1, 1]);
if tmp < glob_normmax then glob_normmax := tmp end if
end if;
if glob_look_poles and glob_small_float < omniabs(array_pole[1]) and
array_pole[1] <> glob_large_float then
sz2 := array_pole[1]/10.0;
if sz2 < hnew then
omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12,
"due to singularity.");
omniout_str(INFO, "Reached Optimal");
return hnew
end if
end if;
if not glob_reached_optimal_h then
glob_reached_optimal_h := true;
glob_curr_iter_when_opt := glob_current_iter;
glob_optimal_clock_start_sec := elapsed_time_seconds();
glob_optimal_start := array_x[1]
end if;
hnew := sz2;
return hnew
end proc
> # End Function number 8
> # Begin Function number 9
> prog_report := proc(x_start,x_end)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D1,
> array_const_0D2,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec;
> #TOP PROGRESS REPORT
> clock_sec1 := elapsed_time_seconds();
> total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec);
> glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec);
> left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1);
> expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h) ,convfloat( clock_sec1) - convfloat(glob_orig_start_sec));
> opt_clock_sec := convfloat( clock_sec1) - convfloat(glob_optimal_clock_start_sec);
> glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) +convfloat( glob_h) ,convfloat( opt_clock_sec));
> glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec;
> percent_done := comp_percent(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h));
> glob_percent_done := percent_done;
> omniout_str_noeol(INFO,"Total Elapsed Time ");
> omniout_timestr(convfloat(total_clock_sec));
> omniout_str_noeol(INFO,"Elapsed Time(since restart) ");
> omniout_timestr(convfloat(glob_clock_sec));
> if (convfloat(percent_done) < convfloat(100.0)) then # if number 1
> omniout_str_noeol(INFO,"Expected Time Remaining ");
> omniout_timestr(convfloat(expect_sec));
> omniout_str_noeol(INFO,"Optimized Time Remaining ");
> omniout_timestr(convfloat(glob_optimal_expect_sec));
> omniout_str_noeol(INFO,"Expected Total Time ");
> omniout_timestr(convfloat(glob_total_exp_sec));
> fi;# end if 1;
> omniout_str_noeol(INFO,"Time to Timeout ");
> omniout_timestr(convfloat(left_sec));
> omniout_float(INFO, "Percent Done ",33,percent_done,4,"%");
> #BOTTOM PROGRESS REPORT
> end;
prog_report := proc(x_start, x_end)
local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec,
percent_done, total_clock_sec;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_0D1, array_const_0D2, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4, array_tmp5,
array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
clock_sec1 := elapsed_time_seconds();
total_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_orig_start_sec);
glob_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_clock_start_sec);
left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec)
- convfloat(clock_sec1);
expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start),
convfloat(array_x[1]) + convfloat(glob_h),
convfloat(clock_sec1) - convfloat(glob_orig_start_sec));
opt_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec);
glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),
convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h),
convfloat(opt_clock_sec));
glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec;
percent_done := comp_percent(convfloat(x_end), convfloat(x_start),
convfloat(array_x[1]) + convfloat(glob_h));
glob_percent_done := percent_done;
omniout_str_noeol(INFO, "Total Elapsed Time ");
omniout_timestr(convfloat(total_clock_sec));
omniout_str_noeol(INFO, "Elapsed Time(since restart) ");
omniout_timestr(convfloat(glob_clock_sec));
if convfloat(percent_done) < convfloat(100.0) then
omniout_str_noeol(INFO, "Expected Time Remaining ");
omniout_timestr(convfloat(expect_sec));
omniout_str_noeol(INFO, "Optimized Time Remaining ");
omniout_timestr(convfloat(glob_optimal_expect_sec));
omniout_str_noeol(INFO, "Expected Total Time ");
omniout_timestr(convfloat(glob_total_exp_sec))
end if;
omniout_str_noeol(INFO, "Time to Timeout ");
omniout_timestr(convfloat(left_sec));
omniout_float(INFO, "Percent Done ", 33,
percent_done, 4, "%")
end proc
> # End Function number 9
> # Begin Function number 10
> check_for_pole := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D1,
> array_const_0D2,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found, h_new, ratio, term;
> #TOP CHECK FOR POLE
> #IN RADII REAL EQ = 1
> #Computes radius of convergence and r_order of pole from 3 adjacent Taylor series terms. EQUATUON NUMBER 1
> #Applies to pole of arbitrary r_order on the real axis,
> #Due to Prof. George Corliss.
> n := glob_max_terms;
> m := n - 1 - 1;
> while ((m >= 10) and ((omniabs(array_y_higher[1,m]) < glob_small_float) or (omniabs(array_y_higher[1,m-1]) < glob_small_float) or (omniabs(array_y_higher[1,m-2]) < glob_small_float ))) do # do number 2
> m := m - 1;
> od;# end do number 2;
> if (m > 10) then # if number 1
> rm0 := array_y_higher[1,m]/array_y_higher[1,m-1];
> rm1 := array_y_higher[1,m-1]/array_y_higher[1,m-2];
> hdrc := convfloat(m-1)*rm0-convfloat(m-2)*rm1;
> if (omniabs(hdrc) > glob_small_float) then # if number 2
> rcs := glob_h/hdrc;
> ord_no := convfloat(m-1)*rm0/hdrc - convfloat(m) + 2.0;
> array_real_pole[1,1] := rcs;
> array_real_pole[1,2] := ord_no;
> else
> array_real_pole[1,1] := glob_large_float;
> array_real_pole[1,2] := glob_large_float;
> fi;# end if 2
> else
> array_real_pole[1,1] := glob_large_float;
> array_real_pole[1,2] := glob_large_float;
> fi;# end if 1;
> #BOTTOM RADII REAL EQ = 1
> #TOP RADII COMPLEX EQ = 1
> #Computes radius of convergence for complex conjugate pair of poles.
> #from 6 adjacent Taylor series terms
> #Also computes r_order of poles.
> #Due to Manuel Prieto.
> #With a correction by Dennis J. Darland
> n := glob_max_terms - 1 - 1;
> cnt := 0;
> while ((cnt < 5) and (n >= 10)) do # do number 2
> if (omniabs(array_y_higher[1,n]) > glob_small_float) then # if number 1
> cnt := cnt + 1;
> else
> cnt := 0;
> fi;# end if 1;
> n := n - 1;
> od;# end do number 2;
> m := n + cnt;
> if (m <= 10) then # if number 1
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> elif
> (((omniabs(array_y_higher[1,m]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-1]) >=(glob_large_float)) or (omniabs(array_y_higher[1,m-2]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-3]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-4]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-5]) >= (glob_large_float))) or ((omniabs(array_y_higher[1,m]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-1]) <=(glob_small_float)) or (omniabs(array_y_higher[1,m-2]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-3]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-4]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-5]) <= (glob_small_float)))) then # if number 2
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> else
> rm0 := (array_y_higher[1,m])/(array_y_higher[1,m-1]);
> rm1 := (array_y_higher[1,m-1])/(array_y_higher[1,m-2]);
> rm2 := (array_y_higher[1,m-2])/(array_y_higher[1,m-3]);
> rm3 := (array_y_higher[1,m-3])/(array_y_higher[1,m-4]);
> rm4 := (array_y_higher[1,m-4])/(array_y_higher[1,m-5]);
> nr1 := convfloat(m-1)*rm0 - 2.0*convfloat(m-2)*rm1 + convfloat(m-3)*rm2;
> nr2 := convfloat(m-2)*rm1 - 2.0*convfloat(m-3)*rm2 + convfloat(m-4)*rm3;
> dr1 := (-1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
> dr2 := (-1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
> ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
> ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
> if ((omniabs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (omniabs(dr1) <= glob_small_float)) then # if number 3
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> else
> if (omniabs(nr1*dr2 - nr2 * dr1) > glob_small_float) then # if number 4
> rcs := ((ds1*dr2 - ds2*dr1 +dr1*dr2)/(nr1*dr2 - nr2 * dr1));
> #(Manuels) rcs := (ds1*dr2 - ds2*dr1)/(nr1*dr2 - nr2 * dr1)
> ord_no := (rcs*nr1 - ds1)/(2.0*dr1) -convfloat(m)/2.0;
> if (omniabs(rcs) > glob_small_float) then # if number 5
> if (rcs > 0.0) then # if number 6
> rad_c := sqrt(rcs) * omniabs(glob_h);
> else
> rad_c := glob_large_float;
> fi;# end if 6
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 5
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 4
> fi;# end if 3;
> array_complex_pole[1,1] := rad_c;
> array_complex_pole[1,2] := ord_no;
> fi;# end if 2;
> #BOTTOM RADII COMPLEX EQ = 1
> found := false;
> #TOP WHICH RADII EQ = 1
> if ( not found and ((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float)) and ((array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0))) then # if number 2
> array_poles[1,1] := array_complex_pole[1,1];
> array_poles[1,2] := array_complex_pole[1,2];
> found := true;
> array_type_pole[1] := 2;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Complex estimate of poles used");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if ( not found and ((array_real_pole[1,1] <> glob_large_float) and (array_real_pole[1,2] <> glob_large_float) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > 0.0) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float) or (array_complex_pole[1,1] <= 0.0 ) or (array_complex_pole[1,2] <= 0.0)))) then # if number 2
> array_poles[1,1] := array_real_pole[1,1];
> array_poles[1,2] := array_real_pole[1,2];
> found := true;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Real estimate of pole used");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if ( not found and (((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float)))) then # if number 2
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> found := true;
> array_type_pole[1] := 3;
> if (reached_interval()) then # if number 3
> omniout_str(ALWAYS,"NO POLE");
> fi;# end if 3;
> fi;# end if 2;
> if ( not found and ((array_real_pole[1,1] < array_complex_pole[1,1]) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > 0.0))) then # if number 2
> array_poles[1,1] := array_real_pole[1,1];
> array_poles[1,2] := array_real_pole[1,2];
> found := true;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Real estimate of pole used");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if ( not found and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float) and (array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0))) then # if number 2
> array_poles[1,1] := array_complex_pole[1,1];
> array_poles[1,2] := array_complex_pole[1,2];
> array_type_pole[1] := 2;
> found := true;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Complex estimate of poles used");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if ( not found ) then # if number 2
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> array_type_pole[1] := 3;
> if (reached_interval()) then # if number 3
> omniout_str(ALWAYS,"NO POLE");
> fi;# end if 3;
> fi;# end if 2;
> #BOTTOM WHICH RADII EQ = 1
> array_pole[1] := glob_large_float;
> array_pole[2] := glob_large_float;
> #TOP WHICH RADIUS EQ = 1
> if (array_pole[1] > array_poles[1,1]) then # if number 2
> array_pole[1] := array_poles[1,1];
> array_pole[2] := array_poles[1,2];
> fi;# end if 2;
> #BOTTOM WHICH RADIUS EQ = 1
> #START ADJUST ALL SERIES
> if (array_pole[1] * glob_ratio_of_radius < omniabs(glob_h)) then # if number 2
> h_new := array_pole[1] * glob_ratio_of_radius;
> term := 1;
> ratio := 1.0;
> while (term <= glob_max_terms) do # do number 2
> array_y[term] := array_y[term]* ratio;
> array_y_higher[1,term] := array_y_higher[1,term]* ratio;
> array_x[term] := array_x[term]* ratio;
> ratio := ratio * h_new / omniabs(glob_h);
> term := term + 1;
> od;# end do number 2;
> glob_h := h_new;
> fi;# end if 2;
> #BOTTOM ADJUST ALL SERIES
> if (reached_interval()) then # if number 2
> display_pole();
> fi;# end if 2
> end;
check_for_pole := proc()
local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs,
rm0, rm1, rm2, rm3, rm4, found, h_new, ratio, term;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_0D1, array_const_0D2, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4, array_tmp5,
array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
n := glob_max_terms;
m := n - 2;
while 10 <= m and (omniabs(array_y_higher[1, m]) < glob_small_float or
omniabs(array_y_higher[1, m - 1]) < glob_small_float or
omniabs(array_y_higher[1, m - 2]) < glob_small_float) do m := m - 1
end do;
if 10 < m then
rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1];
rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2];
hdrc := convfloat(m - 1)*rm0 - convfloat(m - 2)*rm1;
if glob_small_float < omniabs(hdrc) then
rcs := glob_h/hdrc;
ord_no := convfloat(m - 1)*rm0/hdrc - convfloat(m) + 2.0;
array_real_pole[1, 1] := rcs;
array_real_pole[1, 2] := ord_no
else
array_real_pole[1, 1] := glob_large_float;
array_real_pole[1, 2] := glob_large_float
end if
else
array_real_pole[1, 1] := glob_large_float;
array_real_pole[1, 2] := glob_large_float
end if;
n := glob_max_terms - 2;
cnt := 0;
while cnt < 5 and 10 <= n do
if glob_small_float < omniabs(array_y_higher[1, n]) then
cnt := cnt + 1
else cnt := 0
end if;
n := n - 1
end do;
m := n + cnt;
if m <= 10 then rad_c := glob_large_float; ord_no := glob_large_float
elif glob_large_float <= omniabs(array_y_higher[1, m]) or
glob_large_float <= omniabs(array_y_higher[1, m - 1]) or
glob_large_float <= omniabs(array_y_higher[1, m - 2]) or
glob_large_float <= omniabs(array_y_higher[1, m - 3]) or
glob_large_float <= omniabs(array_y_higher[1, m - 4]) or
glob_large_float <= omniabs(array_y_higher[1, m - 5]) or
omniabs(array_y_higher[1, m]) <= glob_small_float or
omniabs(array_y_higher[1, m - 1]) <= glob_small_float or
omniabs(array_y_higher[1, m - 2]) <= glob_small_float or
omniabs(array_y_higher[1, m - 3]) <= glob_small_float or
omniabs(array_y_higher[1, m - 4]) <= glob_small_float or
omniabs(array_y_higher[1, m - 5]) <= glob_small_float then
rad_c := glob_large_float; ord_no := glob_large_float
else
rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1];
rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2];
rm2 := array_y_higher[1, m - 2]/array_y_higher[1, m - 3];
rm3 := array_y_higher[1, m - 3]/array_y_higher[1, m - 4];
rm4 := array_y_higher[1, m - 4]/array_y_higher[1, m - 5];
nr1 := convfloat(m - 1)*rm0 - 2.0*convfloat(m - 2)*rm1
+ convfloat(m - 3)*rm2;
nr2 := convfloat(m - 2)*rm1 - 2.0*convfloat(m - 3)*rm2
+ convfloat(m - 4)*rm3;
dr1 := (-1)*(1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
dr2 := (-1)*(1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
if omniabs(nr1*dr2 - nr2*dr1) <= glob_small_float or
omniabs(dr1) <= glob_small_float then
rad_c := glob_large_float; ord_no := glob_large_float
else
if glob_small_float < omniabs(nr1*dr2 - nr2*dr1) then
rcs := (ds1*dr2 - ds2*dr1 + dr1*dr2)/(nr1*dr2 - nr2*dr1);
ord_no := (rcs*nr1 - ds1)/(2.0*dr1) - convfloat(m)/2.0;
if glob_small_float < omniabs(rcs) then
if 0. < rcs then rad_c := sqrt(rcs)*omniabs(glob_h)
else rad_c := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
end if;
array_complex_pole[1, 1] := rad_c;
array_complex_pole[1, 2] := ord_no
end if;
found := false;
if not found and (array_real_pole[1, 1] = glob_large_float or
array_real_pole[1, 2] = glob_large_float) and
array_complex_pole[1, 1] <> glob_large_float and
array_complex_pole[1, 2] <> glob_large_float and
0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then
array_poles[1, 1] := array_complex_pole[1, 1];
array_poles[1, 2] := array_complex_pole[1, 2];
found := true;
array_type_pole[1] := 2;
if glob_display_flag then
if reached_interval() then
omniout_str(ALWAYS, "Complex estimate of poles used")
end if
end if
end if;
if not found and array_real_pole[1, 1] <> glob_large_float and
array_real_pole[1, 2] <> glob_large_float and
0. < array_real_pole[1, 1] and 0. < array_real_pole[1, 2] and (
array_complex_pole[1, 1] = glob_large_float or
array_complex_pole[1, 2] = glob_large_float or
array_complex_pole[1, 1] <= 0. or array_complex_pole[1, 2] <= 0.) then
array_poles[1, 1] := array_real_pole[1, 1];
array_poles[1, 2] := array_real_pole[1, 2];
found := true;
array_type_pole[1] := 1;
if glob_display_flag then
if reached_interval() then
omniout_str(ALWAYS, "Real estimate of pole used")
end if
end if
end if;
if not found and (array_real_pole[1, 1] = glob_large_float or
array_real_pole[1, 2] = glob_large_float) and (
array_complex_pole[1, 1] = glob_large_float or
array_complex_pole[1, 2] = glob_large_float) then
array_poles[1, 1] := glob_large_float;
array_poles[1, 2] := glob_large_float;
found := true;
array_type_pole[1] := 3;
if reached_interval() then omniout_str(ALWAYS, "NO POLE") end if
end if;
if not found and array_real_pole[1, 1] < array_complex_pole[1, 1] and
0. < array_real_pole[1, 1] and 0. < array_real_pole[1, 2] then
array_poles[1, 1] := array_real_pole[1, 1];
array_poles[1, 2] := array_real_pole[1, 2];
found := true;
array_type_pole[1] := 1;
if glob_display_flag then
if reached_interval() then
omniout_str(ALWAYS, "Real estimate of pole used")
end if
end if
end if;
if not found and array_complex_pole[1, 1] <> glob_large_float and
array_complex_pole[1, 2] <> glob_large_float and
0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then
array_poles[1, 1] := array_complex_pole[1, 1];
array_poles[1, 2] := array_complex_pole[1, 2];
array_type_pole[1] := 2;
found := true;
if glob_display_flag then
if reached_interval() then
omniout_str(ALWAYS, "Complex estimate of poles used")
end if
end if
end if;
if not found then
array_poles[1, 1] := glob_large_float;
array_poles[1, 2] := glob_large_float;
array_type_pole[1] := 3;
if reached_interval() then omniout_str(ALWAYS, "NO POLE") end if
end if;
array_pole[1] := glob_large_float;
array_pole[2] := glob_large_float;
if array_poles[1, 1] < array_pole[1] then
array_pole[1] := array_poles[1, 1];
array_pole[2] := array_poles[1, 2]
end if;
if array_pole[1]*glob_ratio_of_radius < omniabs(glob_h) then
h_new := array_pole[1]*glob_ratio_of_radius;
term := 1;
ratio := 1.0;
while term <= glob_max_terms do
array_y[term] := array_y[term]*ratio;
array_y_higher[1, term] := array_y_higher[1, term]*ratio;
array_x[term] := array_x[term]*ratio;
ratio := ratio*h_new/omniabs(glob_h);
term := term + 1
end do;
glob_h := h_new
end if;
if reached_interval() then display_pole() end if
end proc
> # End Function number 10
> # Begin Function number 11
> get_norms := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D1,
> array_const_0D2,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local iii;
> if ( not glob_initial_pass) then # if number 2
> iii := 1;
> while (iii <= glob_max_terms) do # do number 2
> array_norms[iii] := 0.0;
> iii := iii + 1;
> od;# end do number 2;
> #TOP GET NORMS
> iii := 1;
> while (iii <= glob_max_terms) do # do number 2
> if (omniabs(array_y[iii]) > array_norms[iii]) then # if number 3
> array_norms[iii] := omniabs(array_y[iii]);
> fi;# end if 3;
> iii := iii + 1;
> od;# end do number 2
> #BOTTOM GET NORMS
> ;
> fi;# end if 2;
> end;
get_norms := proc()
local iii;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_0D1, array_const_0D2, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4, array_tmp5,
array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
if not glob_initial_pass then
iii := 1;
while iii <= glob_max_terms do
array_norms[iii] := 0.; iii := iii + 1
end do;
iii := 1;
while iii <= glob_max_terms do
if array_norms[iii] < omniabs(array_y[iii]) then
array_norms[iii] := omniabs(array_y[iii])
end if;
iii := iii + 1
end do
end if
end proc
> # End Function number 11
> # Begin Function number 12
> atomall := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D1,
> array_const_0D2,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4,
> array_tmp5,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local kkk, order_d, adj2, adj3 , temporary, term;
> #TOP ATOMALL
> #END OUTFILE1
> #BEGIN ATOMHDR1
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 1
> array_tmp1[1] := array_const_0D1[1] * array_x[1];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 1
> array_tmp2[1] := array_tmp1[1] + array_const_0D2[1];
> #emit pre sqrt 1 $eq_no = 1
> array_tmp3[1] := sqrt(array_tmp2[1]);
> array_tmp4[1] := sinh(array_tmp3[1]);
> array_tmp4_g[1] := cosh(array_tmp3[1]);
> #emit pre add CONST FULL $eq_no = 1 i = 1
> array_tmp5[1] := array_const_0D0[1] + array_tmp4[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_tmp5[1] * expt(glob_h , (1)) * factorial_3(0,1);
> array_y[2] := temporary;
> array_y_higher[1,2] := temporary;
> temporary := temporary / glob_h * (1.0);
> array_y_higher[2,1] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 2;
> #END ATOMHDR1
> #BEGIN ATOMHDR2
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 2
> array_tmp1[2] := array_const_0D1[1] * array_x[2];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 2
> array_tmp2[2] := array_tmp1[2];
> #emit pre sqrt 2 $eq_no = 1
> array_tmp3[2] := array_tmp2[2] / array_tmp3[1]/2.0;
> #emit pre sinh FULL $eq_no = 1
> array_tmp4[2] := att(1,array_tmp4_g,array_tmp3,1);
> array_tmp4_g[2] := att(1,array_tmp4,array_tmp3,1);
> #emit pre add CONST FULL $eq_no = 1 i = 2
> array_tmp5[2] := array_tmp4[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_tmp5[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 sqrt ID_LINEAR iii = 3 $eq_no = 1
> array_tmp3[3] := 0.0;
> array_tmp3[3] := -ats(3,array_tmp3,array_tmp3,2) / array_tmp3[1] / 2.0;
> #emit pre sinh FULL $eq_no = 1
> array_tmp4[3] := att(2,array_tmp4_g,array_tmp3,1);
> array_tmp4_g[3] := att(2,array_tmp4,array_tmp3,1);
> #emit pre add CONST FULL $eq_no = 1 i = 3
> array_tmp5[3] := array_tmp4[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_tmp5[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 sqrt ID_LINEAR iii = 4 $eq_no = 1
> array_tmp3[4] := 0.0;
> array_tmp3[4] := -ats(4,array_tmp3,array_tmp3,2) / array_tmp3[1] / 2.0;
> #emit pre sinh FULL $eq_no = 1
> array_tmp4[4] := att(3,array_tmp4_g,array_tmp3,1);
> array_tmp4_g[4] := att(3,array_tmp4,array_tmp3,1);
> #emit pre add CONST FULL $eq_no = 1 i = 4
> array_tmp5[4] := array_tmp4[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_tmp5[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 sqrt ID_LINEAR iii = 5 $eq_no = 1
> array_tmp3[5] := 0.0;
> array_tmp3[5] := -ats(5,array_tmp3,array_tmp3,2) / array_tmp3[1] / 2.0;
> #emit pre sinh FULL $eq_no = 1
> array_tmp4[5] := att(4,array_tmp4_g,array_tmp3,1);
> array_tmp4_g[5] := att(4,array_tmp4,array_tmp3,1);
> #emit pre add CONST FULL $eq_no = 1 i = 5
> array_tmp5[5] := array_tmp4[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_tmp5[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 sqrt LINEAR $eq_no = 1
> array_tmp3[kkk] := 0.0;
> array_tmp3[kkk] := -ats(kkk,array_tmp3,array_tmp3,2) /array_tmp3[1] / 2.0;
> #emit sinh FULL $eq_no = 1
> array_tmp4[kkk] := att(kkk-1,array_tmp4_g,array_tmp3,1);
> array_tmp4_g[kkk] := att(kkk-1,array_tmp4,array_tmp3,1);
> #emit NOT FULL - FULL add $eq_no = 1
> array_tmp5[kkk] := array_tmp4[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_tmp5[kkk] * expt(glob_h , (order_d)) * factorial_3((kkk - 1),(kkk + order_d - 1));
> array_y[kkk + order_d] := temporary;
> array_y_higher[1,kkk + order_d] := temporary;
> term := kkk + order_d - 1;
> adj2 := kkk + order_d - 1;
> adj3 := 2;
> while (term >= 1) do # do number 2
> if (adj3 <= order_d + 1) then # if number 3
> if (adj2 > 0) then # if number 4
> temporary := temporary / glob_h * convfp(adj2);
> else
> temporary := temporary;
> fi;# end if 4;
> array_y_higher[adj3,term] := temporary;
> fi;# end if 3;
> term := term - 1;
> adj2 := adj2 - 1;
> adj3 := adj3 + 1;
> od;# end do number 2
> fi;# end if 2
> fi;# end if 1;
> kkk := kkk + 1;
> od;# end do number 1;
> #BOTTOM ATOMALL
> #END OUTFILE4
> #BEGIN OUTFILE5
> #BOTTOM ATOMALL ???
> end;
atomall := proc()
local kkk, order_d, adj2, adj3, temporary, term;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_0D1, array_const_0D2, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4, array_tmp5,
array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
array_tmp1[1] := array_const_0D1[1]*array_x[1];
array_tmp2[1] := array_tmp1[1] + array_const_0D2[1];
array_tmp3[1] := sqrt(array_tmp2[1]);
array_tmp4[1] := sinh(array_tmp3[1]);
array_tmp4_g[1] := cosh(array_tmp3[1]);
array_tmp5[1] := array_const_0D0[1] + array_tmp4[1];
if not array_y_set_initial[1, 2] then
if 1 <= glob_max_terms then
temporary := array_tmp5[1]*expt(glob_h, 1)*factorial_3(0, 1);
array_y[2] := temporary;
array_y_higher[1, 2] := temporary;
temporary := temporary*1.0/glob_h;
array_y_higher[2, 1] := temporary
end if
end if;
kkk := 2;
array_tmp1[2] := array_const_0D1[1]*array_x[2];
array_tmp2[2] := array_tmp1[2];
array_tmp3[2] := array_tmp2[2]/(array_tmp3[1]*2.0);
array_tmp4[2] := att(1, array_tmp4_g, array_tmp3, 1);
array_tmp4_g[2] := att(1, array_tmp4, array_tmp3, 1);
array_tmp5[2] := array_tmp4[2];
if not array_y_set_initial[1, 3] then
if 2 <= glob_max_terms then
temporary := array_tmp5[2]*expt(glob_h, 1)*factorial_3(1, 2);
array_y[3] := temporary;
array_y_higher[1, 3] := temporary;
temporary := temporary*2.0/glob_h;
array_y_higher[2, 2] := temporary
end if
end if;
kkk := 3;
array_tmp3[3] := 0.;
array_tmp3[3] := -ats(3, array_tmp3, array_tmp3, 2)/(array_tmp3[1]*2.0)
;
array_tmp4[3] := att(2, array_tmp4_g, array_tmp3, 1);
array_tmp4_g[3] := att(2, array_tmp4, array_tmp3, 1);
array_tmp5[3] := array_tmp4[3];
if not array_y_set_initial[1, 4] then
if 3 <= glob_max_terms then
temporary := array_tmp5[3]*expt(glob_h, 1)*factorial_3(2, 3);
array_y[4] := temporary;
array_y_higher[1, 4] := temporary;
temporary := temporary*3.0/glob_h;
array_y_higher[2, 3] := temporary
end if
end if;
kkk := 4;
array_tmp3[4] := 0.;
array_tmp3[4] := -ats(4, array_tmp3, array_tmp3, 2)/(array_tmp3[1]*2.0)
;
array_tmp4[4] := att(3, array_tmp4_g, array_tmp3, 1);
array_tmp4_g[4] := att(3, array_tmp4, array_tmp3, 1);
array_tmp5[4] := array_tmp4[4];
if not array_y_set_initial[1, 5] then
if 4 <= glob_max_terms then
temporary := array_tmp5[4]*expt(glob_h, 1)*factorial_3(3, 4);
array_y[5] := temporary;
array_y_higher[1, 5] := temporary;
temporary := temporary*4.0/glob_h;
array_y_higher[2, 4] := temporary
end if
end if;
kkk := 5;
array_tmp3[5] := 0.;
array_tmp3[5] := -ats(5, array_tmp3, array_tmp3, 2)/(array_tmp3[1]*2.0)
;
array_tmp4[5] := att(4, array_tmp4_g, array_tmp3, 1);
array_tmp4_g[5] := att(4, array_tmp4, array_tmp3, 1);
array_tmp5[5] := array_tmp4[5];
if not array_y_set_initial[1, 6] then
if 5 <= glob_max_terms then
temporary := array_tmp5[5]*expt(glob_h, 1)*factorial_3(4, 5);
array_y[6] := temporary;
array_y_higher[1, 6] := temporary;
temporary := temporary*5.0/glob_h;
array_y_higher[2, 5] := temporary
end if
end if;
kkk := 6;
while kkk <= glob_max_terms do
array_tmp3[kkk] := 0.;
array_tmp3[kkk] :=
-ats(kkk, array_tmp3, array_tmp3, 2)/(array_tmp3[1]*2.0);
array_tmp4[kkk] := att(kkk - 1, array_tmp4_g, array_tmp3, 1);
array_tmp4_g[kkk] := att(kkk - 1, array_tmp4, array_tmp3, 1);
array_tmp5[kkk] := array_tmp4[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_tmp5[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(20.0 * sqrt(0.1 * x + 0.2) * cosh( sqrt(0.1 * x + 0.2)) - 20.0 * sinh( sqrt(0.1 * x + 0.2)));
> end;
exact_soln_y := proc(x)
return 20.0*sqrt(0.1*x + 0.2)*cosh(sqrt(0.1*x + 0.2))
- 20.0*sinh(sqrt(0.1*x + 0.2))
end proc
> #END USER DEF BLOCK
> #END USER DEF BLOCK
> #END OUTFILE5
> # Begin Function number 2
> main := proc()
> #BEGIN OUTFIEMAIN
> local d1,d2,d3,d4,est_err_2,niii,done_once,
> term,ord,order_diff,term_no,html_log_file,iiif,jjjf,
> rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter,
> x_start,x_end
> ,it, log10norm, max_terms, opt_iter, tmp,subiter, est_needed_step_err,value3,min_value,est_answer,best_h,found_h,repeat_it;
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D1,
> array_const_0D2,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4,
> array_tmp5,
> 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/sinh_sqrtpostode.ode#################");
> omniout_str(ALWAYS,"diff ( y , x , 1 ) = sinh(sqrt(0.1 * x + 0.2));");
> 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(20.0 * sqrt(0.1 * x + 0.2) * cosh( sqrt(0.1 * x + 0.2)) - 20.0 * sinh( sqrt(0.1 * x + 0.2)));");
> 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:= Array(0..(max_terms + 1),[]);
> array_tmp2:= Array(0..(max_terms + 1),[]);
> array_tmp3:= Array(0..(max_terms + 1),[]);
> array_tmp4_g:= Array(0..(max_terms + 1),[]);
> array_tmp4:= Array(0..(max_terms + 1),[]);
> array_tmp5:= Array(0..(max_terms + 1),[]);
> array_m1:= Array(0..(max_terms + 1),[]);
> array_y_higher := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_higher_work := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_higher_work2 := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_set_initial := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_poles := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_real_pole := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_complex_pole := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_fact_2 := Array(0..(max_terms+ 1) ,(0..max_terms+ 1),[]);
> term := 1;
> while (term <= max_terms) do # do number 2
> array_y_init[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_norms[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_fact_1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_1st_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_last_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_type_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_y[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp4_g[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_tmp5[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_higher[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_higher_work[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_higher_work2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_set_initial[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=1) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_poles[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=1) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_real_pole[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=1) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_complex_pole[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=max_terms) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_fact_2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> #BEGIN ARRAYS DEFINED AND INITIALIZATED
> array_y := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_y[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_x := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp3 := 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_g := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp4_g[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_tmp5 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp5[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_1[1] := 1;
> array_const_0D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_0D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_0D0[1] := 0.0;
> array_const_0D1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_0D1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_0D1[1] := 0.1;
> array_const_0D2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_0D2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_0D2[1] := 0.2;
> 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 ) = sinh(sqrt(0.1 * x + 0.2));");
> 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,"2013-01-13T02:03:04-06:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> logitem_str(html_log_file,"sinh_sqrt")
> ;
> logitem_str(html_log_file,"diff ( y , x , 1 ) = sinh(sqrt(0.1 * x + 0.2));")
> ;
> 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,"sinh_sqrt diffeq.mxt")
> ;
> logitem_str(html_log_file,"sinh_sqrt maple results")
> ;
> logitem_str(html_log_file,"Languages compared - single equations")
> ;
> logend(html_log_file)
> ;
> ;
> fi;# end if 3;
> if (glob_html_log) then # if number 3
> fclose(html_log_file);
> fi;# end if 3
> ;
> ;;
> fi;# end if 2
> #END OUTFILEMAIN
> end;
main := proc()
local d1, d2, d3, d4, est_err_2, niii, done_once, term, ord, order_diff,
term_no, html_log_file, iiif, jjjf, rows, r_order, sub_iter, calc_term, iii,
temp_sum, current_iter, x_start, x_end, it, log10norm, max_terms, opt_iter,
tmp, subiter, est_needed_step_err, value3, min_value, est_answer, best_h,
found_h, repeat_it;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_0D1, array_const_0D2, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4, array_tmp5,
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/sinh_sqrtpostode.ode#################");
omniout_str(ALWAYS, "diff ( y , x , 1 ) = sinh(sqrt(0.1 * x + 0.2));");
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(20.0 * sqrt(0.1 * x + 0.2) * cosh( sqrt(0\
.1 * x + 0.2)) - 20.0 * sinh( sqrt(0.1 * x + 0.2)));");
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 := Array(0 .. max_terms + 1, []);
array_tmp2 := Array(0 .. max_terms + 1, []);
array_tmp3 := Array(0 .. max_terms + 1, []);
array_tmp4_g := Array(0 .. max_terms + 1, []);
array_tmp4 := Array(0 .. max_terms + 1, []);
array_tmp5 := Array(0 .. max_terms + 1, []);
array_m1 := Array(0 .. max_terms + 1, []);
array_y_higher := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_higher_work := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_higher_work2 := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_set_initial := Array(0 .. 3, 0 .. max_terms + 1, []);
array_poles := Array(0 .. 2, 0 .. 4, []);
array_real_pole := Array(0 .. 2, 0 .. 4, []);
array_complex_pole := Array(0 .. 2, 0 .. 4, []);
array_fact_2 := Array(0 .. max_terms + 1, 0 .. max_terms + 1, []);
term := 1;
while term <= max_terms do array_y_init[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_norms[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_fact_1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_1st_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_last_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_type_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_y[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_x[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_tmp0[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp3[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp4_g[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_tmp5[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher_work[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher_work2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_set_initial[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do array_poles[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do
array_real_pole[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do
array_complex_pole[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= max_terms do
term := 1;
while term <= max_terms do
array_fact_2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
array_y := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_y[term] := 0.; term := term + 1
end do;
array_x := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_x[term] := 0.; term := term + 1
end do;
array_tmp0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp0[term] := 0.; term := term + 1
end do;
array_tmp1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp1[term] := 0.; term := term + 1
end do;
array_tmp2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1
end do;
array_tmp3 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1
end do;
array_tmp4_g := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp4_g[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_tmp5 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp5[term] := 0.; term := term + 1
end do;
array_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1
end do;
array_const_1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_1[term] := 0.; term := term + 1
end do;
array_const_1[1] := 1;
array_const_0D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D0[term] := 0.; term := term + 1
end do;
array_const_0D0[1] := 0.;
array_const_0D1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D1[term] := 0.; term := term + 1
end do;
array_const_0D1[1] := 0.1;
array_const_0D2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D2[term] := 0.; term := term + 1
end do;
array_const_0D2[1] := 0.2;
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 ) = sinh(sqrt(0.1 * x + 0.2));")
;
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, "2013-01-13T02:03:04-06:00");
logitem_str(html_log_file, "Maple");
logitem_str(html_log_file,
"sinh_sqrt");
logitem_str(html_log_file,
"diff ( y , x , 1 ) = sinh(sqrt(0.1 * x + 0.2));");
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, "sinh_sqrt diffeq.mxt");
logitem_str(html_log_file, "sinh_sqrt 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/sinh_sqrtpostode.ode#################
diff ( y , x , 1 ) = sinh(sqrt(0.1 * x + 0.2));
!
#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(20.0 * sqrt(0.1 * x + 0.2) * cosh( sqrt(0.1 * x + 0.2)) - 20.0 * sinh( sqrt(0.1 * x + 0.2)));
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 = 3.5455006639164485130075703828345e-91
max_value3 = 3.5455006639164485130075703828345e-91
value3 = 3.5455006639164485130075703828345e-91
best_h = 0.001
START of Soultion
x[1] = 0.1
y[1] (analytic) = 0.6551348095261795506943912458578
y[1] (numeric) = 0.6551348095261795506943912458578
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
x[1] = 0.1
y[1] (analytic) = 0.6551348095261795506943912458578
y[1] (numeric) = 0.6551348095261795506943912458578
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) = 0.6556093357445633837993339177914
y[1] (numeric) = 0.65560933574456338379933391779174
absolute error = 3.4e-31
relative error = 5.1860152298451988210808168679758e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=3.8MB, alloc=2.8MB, time=0.13
x[1] = 0.102
y[1] (analytic) = 0.6560839827071326968688714423104
y[1] (numeric) = 0.6560839827071326968688714423099
absolute error = 5.0e-31
relative error = 7.6209755637822582853590894584436e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.103
y[1] (analytic) = 0.656558750390808663946086534993
y[1] (numeric) = 0.65655875039080866394608653499312
absolute error = 1.2e-31
relative error = 1.8277115327237882334480536604373e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.104
y[1] (analytic) = 0.6570336387725303576692972414842
y[1] (numeric) = 0.65703363877253035766929724148383
absolute error = 3.7e-31
relative error = 5.6313707269422865654663254058031e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.105
y[1] (analytic) = 0.6575086478292547277281383001968
y[1] (numeric) = 0.65750864782925472772813830019686
absolute error = 6e-32
relative error = 9.1253552630962676995464223668695e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.106
y[1] (analytic) = 0.6579837775379565793556803516654
y[1] (numeric) = 0.65798377753795657935568035166622
absolute error = 8.2e-31
relative error = 1.2462313327363109974599015501902e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=7.6MB, alloc=3.8MB, time=0.29
x[1] = 0.107
y[1] (analytic) = 0.6584590278756285518565097260724
y[1] (numeric) = 0.65845902787562855185650972607289
absolute error = 4.9e-31
relative error = 7.4416171584870800837899413292706e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.108
y[1] (analytic) = 0.6589343988192810971706917426462
y[1] (numeric) = 0.6589343988192810971706917426467
absolute error = 5.0e-31
relative error = 7.5880087744080524476764905876346e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.109
y[1] (analytic) = 0.6594098903459424584735406561598
y[1] (numeric) = 0.65940989034594245847354065615931
absolute error = 4.9e-31
relative error = 7.4308864209321168702900316025461e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.11
y[1] (analytic) = 0.659885502432658648811119586627
y[1] (numeric) = 0.65988550243265864881111958662698
absolute error = 2e-32
relative error = 3.0308288220108307472574184639204e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.111
y[1] (analytic) = 0.660361235056493429771393968624
y[1] (numeric) = 0.66036123505649342977139396862378
absolute error = 2.2e-31
relative error = 3.3315099118617881601749884066694e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=11.4MB, alloc=4.0MB, time=0.44
x[1] = 0.112
y[1] (analytic) = 0.6608370881945282901909622562696
y[1] (numeric) = 0.66083708819452829019096225627013
absolute error = 5.3e-31
relative error = 8.0201309743073282752260103018313e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.113
y[1] (analytic) = 0.6613130618238624248972878190104
y[1] (numeric) = 0.66131306182386242489728781901021
absolute error = 1.9e-31
relative error = 2.8730719377595719169578740535422e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.114
y[1] (analytic) = 0.6617891559216127134863561617272
y[1] (numeric) = 0.66178915592161271348635616172741
absolute error = 2.1e-31
relative error = 3.1732160933878158001762366742686e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.115
y[1] (analytic) = 0.6622653704649136991356818005704
y[1] (numeric) = 0.66226537046491369913568180057116
absolute error = 7.6e-31
relative error = 1.1475762343824139375324361984680e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.116
y[1] (analytic) = 0.6627417054309175674525893230842
y[1] (numeric) = 0.66274170543091756745258932308405
absolute error = 1.5e-31
relative error = 2.2633251954842549291624384208233e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.117
y[1] (analytic) = 0.6632181607967941253576933578264
y[1] (numeric) = 0.66321816079679412535769335782679
absolute error = 3.9e-31
relative error = 5.8804179839021861159215047339664e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=15.2MB, alloc=4.1MB, time=0.61
x[1] = 0.118
y[1] (analytic) = 0.6636947365397307800035023747022
y[1] (numeric) = 0.6636947365397307800035023747024
absolute error = 2.0e-31
relative error = 3.0134335710228642648494501529281e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.119
y[1] (analytic) = 0.6641714326369325177280714325834
y[1] (numeric) = 0.66417143263693251772807143258287
absolute error = 5.3e-31
relative error = 7.9798674552406266859687654772328e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.12
y[1] (analytic) = 0.6646482490656218830436291856422
y[1] (numeric) = 0.6646482490656218830436291856424
absolute error = 2.0e-31
relative error = 3.0091104622808334595926185831197e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.121
y[1] (analytic) = 0.6651251858030389576601046540048
y[1] (numeric) = 0.66512518580303895766010465400457
absolute error = 2.3e-31
relative error = 3.4579956511842124526976905772169e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.122
y[1] (analytic) = 0.6656022428264413395434794579172
y[1] (numeric) = 0.66560224282644133954347945791747
absolute error = 2.7e-31
relative error = 4.0564767157854013796717029095928e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.123
y[1] (analytic) = 0.6660794201131041220088914076842
y[1] (numeric) = 0.66607942011310412200889140768387
absolute error = 3.3e-31
relative error = 4.9543641499081911173780243677067e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=19.0MB, alloc=4.1MB, time=0.77
TOP MAIN SOLVE Loop
x[1] = 0.124
y[1] (analytic) = 0.6665567176403198728484155339944
y[1] (numeric) = 0.6665567176403198728484155339943
absolute error = 1.0e-31
relative error = 1.5002474261156710522931401701708e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.125
y[1] (analytic) = 0.667034135385398613493448835143
y[1] (numeric) = 0.66703413538539861349344883514235
absolute error = 6.5e-31
relative error = 9.7446287306487449824431359836421e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.126
y[1] (analytic) = 0.6675116733256677982116252088446
y[1] (numeric) = 0.66751167332566779821162520884474
absolute error = 1.4e-31
relative error = 2.0973415985745066955474651477863e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.127
y[1] (analytic) = 0.6679893314384722933381872270468
y[1] (numeric) = 0.66798933143847229333818722704673
absolute error = 7e-32
relative error = 1.0479209278576272762733468236734e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.128
y[1] (analytic) = 0.6684671097011743565417416021668
y[1] (numeric) = 0.66846710970117435654174160216758
absolute error = 7.8e-31
relative error = 1.1668487329895472695044861758151e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=22.8MB, alloc=4.2MB, time=0.94
x[1] = 0.129
y[1] (analytic) = 0.6689450080911536161243253827336
y[1] (numeric) = 0.66894500809115361612432538273361
absolute error = 1e-32
relative error = 1.4948911912109451935826719067687e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.13
y[1] (analytic) = 0.6694230265858070503557101052594
y[1] (numeric) = 0.66942302658580705035571010525967
absolute error = 2.7e-31
relative error = 4.0333240608267489275135383876991e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.131
y[1] (analytic) = 0.6699011651625489668418713175754
y[1] (numeric) = 0.66990116516254896684187131757571
absolute error = 3.1e-31
relative error = 4.6275483029616716733769605325331e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.132
y[1] (analytic) = 0.6703794237988109819275510765554
y[1] (numeric) = 0.67037942379881098192755107655566
absolute error = 2.6e-31
relative error = 3.8784006604300128706865736077779e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.133
y[1] (analytic) = 0.670857802472042000132841210393
y[1] (numeric) = 0.6708578024720420001328412103929
absolute error = 1.0e-31
relative error = 1.4906288580308716039936200437304e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.134
y[1] (analytic) = 0.6713363011597081936237153221818
y[1] (numeric) = 0.67133630115970819362371532218247
absolute error = 6.7e-31
relative error = 9.9800949068685875668605867344450e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=26.7MB, alloc=4.2MB, time=1.10
x[1] = 0.135
y[1] (analytic) = 0.6718149198392929817164376976164
y[1] (numeric) = 0.67181491983929298171643769761664
absolute error = 2.4e-31
relative error = 3.5724124742185120818850829679847e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.136
y[1] (analytic) = 0.67229365848829701041577746508
y[1] (numeric) = 0.67229365848829701041577746507951
absolute error = 4.9e-31
relative error = 7.2884816599609455113599289094728e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.137
y[1] (analytic) = 0.6727725170842381319869565413404
y[1] (numeric) = 0.67277251708423813198695654134028
absolute error = 1.2e-31
relative error = 1.7836638232500027813066964833361e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.138
y[1] (analytic) = 0.673251495604651384561260080395
y[1] (numeric) = 0.67325149560465138456126008039513
absolute error = 1.3e-31
relative error = 1.9309277565472942002392595243973e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.139
y[1] (analytic) = 0.6737305940270889717752383267968
y[1] (numeric) = 0.67373059402708897177523832679687
absolute error = 7e-32
relative error = 1.0389909649432586151430202581973e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.14
y[1] (analytic) = 0.6742098123291202424434289580404
y[1] (numeric) = 0.67420981232912024244342895804122
absolute error = 8.2e-31
relative error = 1.2162386025905408452381644570742e-28 %
Correct digits = 29
h = 0.001
NO POLE
memory used=30.5MB, alloc=4.2MB, time=1.27
TOP MAIN SOLVE Loop
x[1] = 0.141
y[1] (analytic) = 0.6746891504883316702645291832504
y[1] (numeric) = 0.67468915048833167026452918325077
absolute error = 3.7e-31
relative error = 5.4840069642767869016307827492007e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.142
y[1] (analytic) = 0.6751686084823268335609470475148
y[1] (numeric) = 0.67516860848232683356094704751457
absolute error = 2.3e-31
relative error = 3.4065564824911504156507313036194e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.143
y[1] (analytic) = 0.6756481862887263950516615728042
y[1] (numeric) = 0.67564818628872639505166157280448
absolute error = 2.8e-31
relative error = 4.1441686025683626106770227521812e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.144
y[1] (analytic) = 0.6761278838851680816583215474008
y[1] (numeric) = 0.67612788388516808165832154740119
absolute error = 3.9e-31
relative error = 5.7681395679021670578590515304756e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.145
y[1] (analytic) = 0.6766077012493066643445129562244
y[1] (numeric) = 0.67660770124930666434451295622469
absolute error = 2.9e-31
relative error = 4.2860877797361188363805049877200e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=34.3MB, alloc=4.2MB, time=1.44
x[1] = 0.146
y[1] (analytic) = 0.677087638358813937988125224378
y[1] (numeric) = 0.6770876383588139379881252243784
absolute error = 4.0e-31
relative error = 5.9076547456922424810596379753686e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.147
y[1] (analytic) = 0.6775676951913787012867466255844
y[1] (numeric) = 0.67756769519137870128674662558456
absolute error = 1.6e-31
relative error = 2.3613876685016405552918479511038e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.148
y[1] (analytic) = 0.6780478717247067366960193860134
y[1] (numeric) = 0.67804787172470673669601938601305
absolute error = 3.5e-31
relative error = 5.1618774218659152140818252074513e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.149
y[1] (analytic) = 0.6785281679365207904008851922878
y[1] (numeric) = 0.67852816793652079040088519228833
absolute error = 5.3e-31
relative error = 7.8110242882294573332676946088007e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.15
y[1] (analytic) = 0.6790085838045605523196519902016
y[1] (numeric) = 0.67900858380456055231965199020171
absolute error = 1.1e-31
relative error = 1.6200089751981893344516845181123e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.151
y[1] (analytic) = 0.6794891193065826361408131378602
y[1] (numeric) = 0.67948911930658263614081313786021
absolute error = 1e-32
relative error = 1.4716939117737427682576631059121e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=38.1MB, alloc=4.3MB, time=1.61
x[1] = 0.152
y[1] (analytic) = 0.6799697744203605593925501536706
y[1] (numeric) = 0.67996977442036055939255015367138
absolute error = 7.8e-31
relative error = 1.1471098118514313223067609053541e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.153
y[1] (analytic) = 0.6804505491236847235448504756968
y[1] (numeric) = 0.68045054912368472354485047569652
absolute error = 2.8e-31
relative error = 4.1149206266435787384228946858093e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.154
y[1] (analytic) = 0.6809314433943623941441718245052
y[1] (numeric) = 0.68093144339436239414417182450579
absolute error = 5.9e-31
relative error = 8.6646020788659729726592264341084e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.155
y[1] (analytic) = 0.6814124572102176809805849367384
y[1] (numeric) = 0.68141245721021768098058493673852
absolute error = 1.2e-31
relative error = 1.7610479340412125562450734519580e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.156
y[1] (analytic) = 0.6818935905490915182873266111136
y[1] (numeric) = 0.68189359054909151828732661111328
absolute error = 3.2e-31
relative error = 4.6928143105483884445672697173816e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.157
y[1] (analytic) = 0.6823748433888416449726951826464
y[1] (numeric) = 0.68237484338884164497269518264616
absolute error = 2.4e-31
relative error = 3.5171284862745064208304870827251e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=41.9MB, alloc=4.3MB, time=1.78
x[1] = 0.158
y[1] (analytic) = 0.6828562157073425848842207143246
y[1] (numeric) = 0.68285621570734258488422071432474
absolute error = 1.4e-31
relative error = 2.0502119886977930666617486200473e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.159
y[1] (analytic) = 0.6833377074824856271050423684502
y[1] (numeric) = 0.68333770748248562710504236845031
absolute error = 1.1e-31
relative error = 1.6097457932660531368223244612163e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.16
y[1] (analytic) = 0.683819318692178806282425592305
y[1] (numeric) = 0.68381931869217880628242559230518
absolute error = 1.8e-31
relative error = 2.6322742730382991839964522000803e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.161
y[1] (analytic) = 0.6843010493143468829883519247254
y[1] (numeric) = 0.68430104931434688298835192472548
absolute error = 8e-32
relative error = 1.1690760971382122970973484955105e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.162
y[1] (analytic) = 0.6847828993269313241121144015664
y[1] (numeric) = 0.68478289932693132411211440156642
absolute error = 2e-32
relative error = 2.9206336810772977019085288498483e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=45.7MB, alloc=4.3MB, time=1.94
x[1] = 0.163
y[1] (analytic) = 0.6852648687078902832848517089364
y[1] (numeric) = 0.68526486870789028328485170893655
absolute error = 1.5e-31
relative error = 2.1889346273191323833852782256875e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.164
y[1] (analytic) = 0.6857469574351985813359544034536
y[1] (numeric) = 0.68574695743519858133595440345333
absolute error = 2.7e-31
relative error = 3.9373124017909236285012501178955e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.165
y[1] (analytic) = 0.6862291654868476867812766886356
y[1] (numeric) = 0.68622916548684768678127668863526
absolute error = 3.4e-31
relative error = 4.9546130811678021328883648545774e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.166
y[1] (analytic) = 0.686711492840845696343087405898
y[1] (numeric) = 0.68671149284084569634308740589794
absolute error = 6e-32
relative error = 8.7372936998312010115761442257345e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.167
y[1] (analytic) = 0.6871939394752173155016940674648
y[1] (numeric) = 0.6871939394752173155016940674646
absolute error = 2.0e-31
relative error = 2.9103865519060317494025275339682e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.168
y[1] (analytic) = 0.6876765053680038390786739268378
y[1] (numeric) = 0.68767650536800383907867392683754
absolute error = 2.6e-31
relative error = 3.7808475056285856428345654404085e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=49.5MB, alloc=4.3MB, time=2.11
x[1] = 0.169
y[1] (analytic) = 0.6881591904972631318516462503072
y[1] (numeric) = 0.68815919049726313185164625030717
absolute error = 3e-32
relative error = 4.3594564185536823945332106785872e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.17
y[1] (analytic) = 0.6886419948410696092005201203024
y[1] (numeric) = 0.68864199484106960920052012030198
absolute error = 4.2e-31
relative error = 6.0989600277998005345123179282409e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.171
y[1] (analytic) = 0.6891249183775142177851522682072
y[1] (numeric) = 0.68912491837751421778515226820731
absolute error = 1.1e-31
relative error = 1.5962272886458032616367604851181e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.172
y[1] (analytic) = 0.6896079610847044162543496006052
y[1] (numeric) = 0.68960796108470441625434960060509
absolute error = 1.1e-31
relative error = 1.5951091954764820453330285144786e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.173
y[1] (analytic) = 0.6900911229407641559861512487126
y[1] (numeric) = 0.69009112294076415598615124871236
absolute error = 2.4e-31
relative error = 3.4778015833222223785956327621188e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.174
y[1] (analytic) = 0.6905744039238338618593251361258
y[1] (numeric) = 0.69057440392383386185932513612526
absolute error = 5.4e-31
relative error = 7.8195773971888871401552664206286e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=53.4MB, alloc=4.3MB, time=2.28
x[1] = 0.175
y[1] (analytic) = 0.691057804012070413056014224809
y[1] (numeric) = 0.69105780401207041305601422480908
absolute error = 8e-32
relative error = 1.1576455621446491036116745753619e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.176
y[1] (analytic) = 0.6915413231836471238954677636152
y[1] (numeric) = 0.69154132318364712389546776361508
absolute error = 1.2e-31
relative error = 1.7352542209271933169773143670184e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.177
y[1] (analytic) = 0.6920249614167537246987930274538
y[1] (numeric) = 0.69202496141675372469879302745358
absolute error = 2.2e-31
relative error = 3.1790760776837184107358822008270e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.178
y[1] (analytic) = 0.692508718689596342684663198612
y[1] (numeric) = 0.69250871868959634268466319861149
absolute error = 5.1e-31
relative error = 7.3645282179991967628481955188873e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.179
y[1] (analytic) = 0.6929925949803974828959172045726
y[1] (numeric) = 0.69299259498039748289591720457259
absolute error = 1e-32
relative error = 1.4430168622917056750434007860217e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.18
y[1] (analytic) = 0.6934765902673960091569874890826
y[1] (numeric) = 0.69347659026739600915698748908272
absolute error = 1.2e-31
relative error = 1.7304116921052732570719656687787e-29 %
Correct digits = 30
h = 0.001
memory used=57.2MB, alloc=4.3MB, time=2.44
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.181
y[1] (analytic) = 0.6939607045288471250620918551014
y[1] (numeric) = 0.69396070452884712506209185510065
absolute error = 7.5e-31
relative error = 1.0807528367318720245457142417855e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.182
y[1] (analytic) = 0.69444493774302235499412567969
y[1] (numeric) = 0.69444493774302235499412567969085
absolute error = 8.5e-31
relative error = 1.2239991305322761443376264959015e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.183
y[1] (analytic) = 0.6949292898882095251741909618484
y[1] (numeric) = 0.69492928988820952517419096184817
absolute error = 2.3e-31
relative error = 3.3096892496357316191733033167541e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.184
y[1] (analytic) = 0.6954137609427127447416988246984
y[1] (numeric) = 0.69541376094271274474169882469826
absolute error = 1.4e-31
relative error = 2.0131899577341411381592782397871e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.185
y[1] (analytic) = 0.6958983508848523868649822534922
y[1] (numeric) = 0.69589835088485238686498225349309
absolute error = 8.9e-31
relative error = 1.2789224157067514930115179493097e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=61.0MB, alloc=4.3MB, time=2.61
x[1] = 0.186
y[1] (analytic) = 0.6963830596929650698823560103198
y[1] (numeric) = 0.69638305969296506988235601031967
absolute error = 1.3e-31
relative error = 1.8667886616500541042370193675258e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.187
y[1] (analytic) = 0.696867887345403638473560825463
y[1] (numeric) = 0.69686788734540363847356082546393
absolute error = 9.3e-31
relative error = 1.3345427689926599701262378240735e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.188
y[1] (analytic) = 0.6973528338205371448615291239214
y[1] (numeric) = 0.6973528338205371448615291239221
absolute error = 7.0e-31
relative error = 1.0037960212550654091857770180247e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.189
y[1] (analytic) = 0.6978378990967508300444097036296
y[1] (numeric) = 0.69783789909675083004440970363035
absolute error = 7.5e-31
relative error = 1.0747481628194246629166185145142e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.19
y[1] (analytic) = 0.6983230831524461050577889395924
y[1] (numeric) = 0.6983230831524461050577889395922
absolute error = 2.0e-31
relative error = 2.8640038518723771986662961181025e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.191
y[1] (analytic) = 0.698808385966040532267046245223
y[1] (numeric) = 0.69880838596604053226704624522269
absolute error = 3.1e-31
relative error = 4.4361230664319022326871533133151e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=64.8MB, alloc=4.3MB, time=2.78
x[1] = 0.192
y[1] (analytic) = 0.699293807515967806689781678901
y[1] (numeric) = 0.69929380751596780668978167890153
absolute error = 5.3e-31
relative error = 7.5790746936922915628760307560673e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.193
y[1] (analytic) = 0.6997793477806777373482537399352
y[1] (numeric) = 0.69977934778067773734825373993484
absolute error = 3.6e-31
relative error = 5.1444787723691135916744314834157e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.194
y[1] (analytic) = 0.7002650067386362286517655538686
y[1] (numeric) = 0.700265006738636228651765553869
absolute error = 4.0e-31
relative error = 5.7121232126524666757547141949640e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.195
y[1] (analytic) = 0.7007507843683252618089378023816
y[1] (numeric) = 0.70075078436832526180893780238173
absolute error = 1.3e-31
relative error = 1.8551531143441435571244783610570e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.196
y[1] (analytic) = 0.7012366806482428762698069077964
y[1] (numeric) = 0.70123668064824287626980690779656
absolute error = 1.6e-31
relative error = 2.2816832663700864545071532334725e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.197
y[1] (analytic) = 0.7017226955569031511976871366288
y[1] (numeric) = 0.70172269555690315119768713662904
absolute error = 2.4e-31
relative error = 3.4201544501782220526770266240320e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=68.6MB, alloc=4.3MB, time=2.95
x[1] = 0.198
y[1] (analytic) = 0.7022088290728361869707354404764
y[1] (numeric) = 0.70220882907283618697073544047742
absolute error = 1.02e-30
relative error = 1.4525593495410196781088043484295e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.199
y[1] (analytic) = 0.7026950811745880867131580060188
y[1] (numeric) = 0.70269508117458808671315800601949
absolute error = 6.9e-31
relative error = 9.8193372699668303117740009119332e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.2
y[1] (analytic) = 0.7031814518407209378559976388712
y[1] (numeric) = 0.70318145184072093785599763887148
absolute error = 2.8e-31
relative error = 3.9819025269657335899752019028240e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.201
y[1] (analytic) = 0.703667941049812793727441258606
y[1] (numeric) = 0.70366794104981279372744125860674
absolute error = 7.4e-31
relative error = 1.0516323919716775225114585331118e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.202
y[1] (analytic) = 0.7041545487804576551725869343224
y[1] (numeric) = 0.70415454878045765517258693432215
absolute error = 2.5e-31
relative error = 3.5503569554862787529641777973543e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=72.4MB, alloc=4.3MB, time=3.12
x[1] = 0.203
y[1] (analytic) = 0.704641275011265452202610041781
y[1] (numeric) = 0.70464127501126545220261004178101
absolute error = 1e-32
relative error = 1.4191618281004224458150936481425e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.204
y[1] (analytic) = 0.7051281197208620256732682743536
y[1] (numeric) = 0.70512811972086202567326827435378
absolute error = 1.8e-31
relative error = 2.5527275819216558917343803283442e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.205
y[1] (analytic) = 0.7056150828878891089926853907242
y[1] (numeric) = 0.70561508288788910899268539072385
absolute error = 3.5e-31
relative error = 4.9602114309624156986874718210000e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.206
y[1] (analytic) = 0.7061021644910043098583537326262
y[1] (numeric) = 0.70610216449100430985835373262641
absolute error = 2.1e-31
relative error = 2.9740738743008822019148139379533e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.207
y[1] (analytic) = 0.7065893645088810920232956957458
y[1] (numeric) = 0.70658936450888109202329569574574
absolute error = 6e-32
relative error = 8.4914949210569192655754238721745e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.208
y[1] (analytic) = 0.707076682920208757091324486312
y[1] (numeric) = 0.70707668292020875709132448631131
absolute error = 6.9e-31
relative error = 9.7584889541303711220818793496616e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=76.2MB, alloc=4.3MB, time=3.29
x[1] = 0.209
y[1] (analytic) = 0.7075641197036924263413446449078
y[1] (numeric) = 0.70756411970369242634134464490777
absolute error = 3e-32
relative error = 4.2398984296381704830443202373225e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.21
y[1] (analytic) = 0.7080516748380530225806329675494
y[1] (numeric) = 0.70805167483805302258063296754926
absolute error = 1.4e-31
relative error = 1.9772568157828463083543643496376e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.211
y[1] (analytic) = 0.708539348302027252027040602167
y[1] (numeric) = 0.70853934830202725202704060216646
absolute error = 5.4e-31
relative error = 7.6213127936236447945348584271425e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.212
y[1] (analytic) = 0.7090271400743675862200572463164
y[1] (numeric) = 0.70902714007436758622005724631655
absolute error = 1.5e-31
relative error = 2.1155748704382032589298351556631e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.213
y[1] (analytic) = 0.709515050133842243960678519153
y[1] (numeric) = 0.70951505013384224396067851915342
absolute error = 4.2e-31
relative error = 5.9195361665798576031030757997276e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.214
y[1] (analytic) = 0.710003078459235173280017727489
y[1] (numeric) = 0.71000307845923517328001772748953
absolute error = 5.3e-31
relative error = 7.4647563662701773761082196519720e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=80.1MB, alloc=4.3MB, time=3.46
x[1] = 0.215
y[1] (analytic) = 0.7104912250293460334366033921428
y[1] (numeric) = 0.71049122502934603343660339214307
absolute error = 2.7e-31
relative error = 3.8001876798527378931128576385238e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.216
y[1] (analytic) = 0.7109794898229901769423040466964
y[1] (numeric) = 0.71097948982299017694230404669631
absolute error = 9e-32
relative error = 1.2658593009821837911003523296214e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.217
y[1] (analytic) = 0.7114678728189986316168219662934
y[1] (numeric) = 0.71146787281899863161682196629426
absolute error = 8.6e-31
relative error = 1.2087685654623912503878638677360e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.218
y[1] (analytic) = 0.7119563739962180826706976291892
y[1] (numeric) = 0.71195637399621808267069762918893
absolute error = 2.7e-31
relative error = 3.7923671991935034199577343857772e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.219
y[1] (analytic) = 0.712444993333510854816766858384
y[1] (numeric) = 0.71244499333351085481676685838465
absolute error = 6.5e-31
relative error = 9.1235113739612033777598658431089e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.22
y[1] (analytic) = 0.7129337308097548944100127349664
y[1] (numeric) = 0.71293373080975489441001273496568
absolute error = 7.2e-31
relative error = 1.0099115371946550906428405600485e-28 %
Correct digits = 29
h = 0.001
memory used=83.9MB, alloc=4.3MB, time=3.62
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.221
y[1] (analytic) = 0.7134225864038437516157545184896
y[1] (numeric) = 0.71342258640384375161575451849005
absolute error = 4.5e-31
relative error = 6.3076219981809018147353168999198e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.222
y[1] (analytic) = 0.7139115600946865626061159532142
y[1] (numeric) = 0.71391156009468656260611595321504
absolute error = 8.4e-31
relative error = 1.1766163303037007051368102734521e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.223
y[1] (analytic) = 0.7144006518612080317847154818804
y[1] (numeric) = 0.71440065186120803178471548188057
absolute error = 1.7e-31
relative error = 2.3796170896135628659339374008596e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.224
y[1] (analytic) = 0.7148898616823484140395210313192
y[1] (numeric) = 0.71488986168234841403952103131939
absolute error = 1.9e-31
relative error = 2.6577520564199008823145206316684e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.225
y[1] (analytic) = 0.7153791895370634970238121762882
y[1] (numeric) = 0.71537918953706349702381217628789
absolute error = 3.1e-31
relative error = 4.3333661998276374165474659508852e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=87.7MB, alloc=4.3MB, time=3.79
x[1] = 0.226
y[1] (analytic) = 0.7158686354043245834651926296208
y[1] (numeric) = 0.71586863540432458346519262962077
absolute error = 3e-32
relative error = 4.1907130046360973895417894005279e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.227
y[1] (analytic) = 0.7163581992631184735025961481078
y[1] (numeric) = 0.71635819926311847350259614810738
absolute error = 4.2e-31
relative error = 5.8629886617062916776482814312164e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.228
y[1] (analytic) = 0.716847881092447447051229084369
y[1] (numeric) = 0.71684788109244744705122908436929
absolute error = 2.9e-31
relative error = 4.0454886964030865258886492907407e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.229
y[1] (analytic) = 0.7173376808713292461953929554884
y[1] (numeric) = 0.71733768087132924619539295548865
absolute error = 2.5e-31
relative error = 3.4851089893442131903707037120145e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.23
y[1] (analytic) = 0.7178275985787970576091305391966
y[1] (numeric) = 0.71782759857879705760913053919643
absolute error = 1.7e-31
relative error = 2.3682566724458259214563738476991e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.231
y[1] (analytic) = 0.7183176341938994950046391480798
y[1] (numeric) = 0.71831763419389949500463914808049
absolute error = 6.9e-31
relative error = 9.6057783792865155014833779726330e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=91.5MB, alloc=4.3MB, time=3.96
x[1] = 0.232
y[1] (analytic) = 0.7188077876957005816083948715164
y[1] (numeric) = 0.71880778769570058160839487151655
absolute error = 1.5e-31
relative error = 2.0867887433559757158743693955675e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.233
y[1] (analytic) = 0.7192980590632797326649317138616
y[1] (numeric) = 0.71929805906327973266493171386216
absolute error = 5.6e-31
relative error = 7.7853678728018700274442831116541e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.234
y[1] (analytic) = 0.7197884482757317379682196958858
y[1] (numeric) = 0.71978844827573173796821969588598
absolute error = 1.8e-31
relative error = 2.5007347704897704270120470180901e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.235
y[1] (analytic) = 0.720278955312166744420586124433
y[1] (numeric) = 0.72027895531216674442058612443332
absolute error = 3.2e-31
relative error = 4.4427231649620105494153811077477e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.236
y[1] (analytic) = 0.7207695801517102386191243729564
y[1] (numeric) = 0.72076958015171023861912437295576
absolute error = 6.4e-31
relative error = 8.8793980437588728480843423490943e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.237
y[1] (analytic) = 0.7212603227735030294695346527582
y[1] (numeric) = 0.72126032277350302946953465275833
absolute error = 1.3e-31
relative error = 1.8024005465891103280401691472387e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=95.3MB, alloc=4.3MB, time=4.13
x[1] = 0.238
y[1] (analytic) = 0.7217511831567012308273413916444
y[1] (numeric) = 0.72175118315670123082734139164441
absolute error = 1e-32
relative error = 1.3855190311241754660042395502125e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.239
y[1] (analytic) = 0.7222421612804762441664319730668
y[1] (numeric) = 0.72224216128047624416643197306686
absolute error = 6e-32
relative error = 8.3074629558630183479246864187805e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.24
y[1] (analytic) = 0.722733257124014741274861724926
y[1] (numeric) = 0.72273325712401474127486172492567
absolute error = 3.3e-31
relative error = 4.5659999280118206879008707305498e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.241
y[1] (analytic) = 0.7232244706665186469778701827882
y[1] (numeric) = 0.72322447066651864697787018278872
absolute error = 5.2e-31
relative error = 7.1900222004486603325466988129330e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.242
y[1] (analytic) = 0.7237158018872051218880537875552
y[1] (numeric) = 0.72371580188720512188805378755453
absolute error = 6.7e-31
relative error = 9.2577776836275711241306675651677e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=99.1MB, alloc=4.3MB, time=4.30
x[1] = 0.243
y[1] (analytic) = 0.7242072507653065451826403124246
y[1] (numeric) = 0.72420725076530654518264031242532
absolute error = 7.2e-31
relative error = 9.9419054316169780150594792827986e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.244
y[1] (analytic) = 0.7246988172800704974078104485174
y[1] (numeric) = 0.72469881728007049740781044851685
absolute error = 5.5e-31
relative error = 7.5893597020656434343754187922876e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.245
y[1] (analytic) = 0.7251905014107597433100121124992
y[1] (numeric) = 0.72519050141075974331001211249945
absolute error = 2.5e-31
relative error = 3.4473700291669418484630123373898e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.246
y[1] (analytic) = 0.7256823031366522146942131733434
y[1] (numeric) = 0.72568230313665221469421317334375
absolute error = 3.5e-31
relative error = 4.8230471996792237037494782195440e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.247
y[1] (analytic) = 0.7261742224370409933090384285356
y[1] (numeric) = 0.7261742224370409933090384285362
absolute error = 6.0e-31
relative error = 8.2624800145948413013556300893602e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.248
y[1] (analytic) = 0.7266662592912342937587367930344
y[1] (numeric) = 0.72666625929123429375873679303501
absolute error = 6.1e-31
relative error = 8.3945001188712598343208564811222e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=103.0MB, alloc=4.3MB, time=4.46
x[1] = 0.249
y[1] (analytic) = 0.727158413678555446441924796757
y[1] (numeric) = 0.72715841367855544644192479675738
absolute error = 3.8e-31
relative error = 5.2258214008368908554859265471349e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.25
y[1] (analytic) = 0.7276506855783428805170526185262
y[1] (numeric) = 0.72765068557834288051705261852585
absolute error = 3.5e-31
relative error = 4.8100002781117021608645279728885e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.251
y[1] (analytic) = 0.7281430749699501068945390161562
y[1] (numeric) = 0.72814307496995010689453901615601
absolute error = 1.9e-31
relative error = 2.6093772849222132731039576498994e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.252
y[1] (analytic) = 0.7286355818327457012555216437412
y[1] (numeric) = 0.72863558183274570125552164374105
absolute error = 1.5e-31
relative error = 2.0586422587640206230764684531968e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.253
y[1] (analytic) = 0.7291282061461132870971693781828
y[1] (numeric) = 0.72912820614611328709716937818231
absolute error = 4.9e-31
relative error = 6.7203544708542888516444548199770e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.254
y[1] (analytic) = 0.7296209478894515188045034076294
y[1] (numeric) = 0.72962094788945151880450340762983
absolute error = 4.3e-31
relative error = 5.8934711406497532244212937499378e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=106.8MB, alloc=4.3MB, time=4.63
x[1] = 0.255
y[1] (analytic) = 0.7301138070421740647486739647344
y[1] (numeric) = 0.73011380704217406474867396473459
absolute error = 1.9e-31
relative error = 2.6023340220030231484971319871582e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.256
y[1] (analytic) = 0.7306067835837095904116397174762
y[1] (numeric) = 0.73060678358370959041163971747583
absolute error = 3.7e-31
relative error = 5.0642836654911388304039464514385e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.257
y[1] (analytic) = 0.7310998774935017415371969598138
y[1] (numeric) = 0.73109987749350174153719695981362
absolute error = 1.8e-31
relative error = 2.4620439086532318529422794755028e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.258
y[1] (analytic) = 0.7315930887510091273083058735302
y[1] (numeric) = 0.7315930887510091273083058735301
absolute error = 1.0e-31
relative error = 1.3668800531005845208119287576609e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.259
y[1] (analytic) = 0.7320864173357053035506612613634
y[1] (numeric) = 0.73208641733570530355066126136399
absolute error = 5.9e-31
relative error = 8.0591578538937677985847631455407e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.26
y[1] (analytic) = 0.7325798632270787559624552799122
y[1] (numeric) = 0.73257986322707875596245527991272
absolute error = 5.2e-31
relative error = 7.0982022043215090036848500247246e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=110.6MB, alloc=4.3MB, time=4.80
TOP MAIN SOLVE Loop
x[1] = 0.261
y[1] (analytic) = 0.733073426404632883370279828777
y[1] (numeric) = 0.73307342640463288337027982877677
absolute error = 2.3e-31
relative error = 3.1374756158879972755134287509555e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.262
y[1] (analytic) = 0.7335671068478859810111163800518
y[1] (numeric) = 0.73356710684788598101111638005231
absolute error = 5.1e-31
relative error = 6.9523291766918697629121976169630e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.263
y[1] (analytic) = 0.7340609045363712238403611595418
y[1] (numeric) = 0.73406090453637122384036115954231
absolute error = 5.1e-31
relative error = 6.9476523929865623018609689292506e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.264
y[1] (analytic) = 0.734554819449636649865833717954
y[1] (numeric) = 0.73455481944963664986583371795439
absolute error = 3.9e-31
relative error = 5.3093382505094244518684667008212e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.265
y[1] (analytic) = 0.7350488515672451435077170568866
y[1] (numeric) = 0.73504885156724514350771705688662
absolute error = 2e-32
relative error = 2.7209075910202033402818121624131e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=114.4MB, alloc=4.3MB, time=4.97
x[1] = 0.266
y[1] (analytic) = 0.7355430008687744189843776005716
y[1] (numeric) = 0.73554300086877441898437760057186
absolute error = 2.6e-31
relative error = 3.5348035355228084723833254084258e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.267
y[1] (analytic) = 0.7360372673338170037240134301582
y[1] (numeric) = 0.736037267333817003724013430158
absolute error = 2.0e-31
relative error = 2.7172537163025666553184687782440e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.268
y[1] (analytic) = 0.7365316509419802218020793227472
y[1] (numeric) = 0.73653165094198022180207932274692
absolute error = 2.8e-31
relative error = 3.8016017321441194783030890625066e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.269
y[1] (analytic) = 0.7370261516728861774044372625
y[1] (numeric) = 0.73702615167288617740443726250036
absolute error = 3.6e-31
relative error = 4.8844942500734839400754179471375e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.27
y[1] (analytic) = 0.7375207695061717383161812158466
y[1] (numeric) = 0.73752076950617173831618121584719
absolute error = 5.9e-31
relative error = 7.9997747100064922088969529114785e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.271
y[1] (analytic) = 0.7380155044214885194360850871946
y[1] (numeric) = 0.73801550442148851943608508719538
absolute error = 7.8e-31
relative error = 1.0568883652538195020357503276475e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=118.2MB, alloc=4.4MB, time=5.14
x[1] = 0.272
y[1] (analytic) = 0.738510356398502866316622895564
y[1] (numeric) = 0.7385103563985028663166228955639
absolute error = 1.0e-31
relative error = 1.3540771518448366535512517276383e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.273
y[1] (analytic) = 0.7390053254168958387295103362064
y[1] (numeric) = 0.73900532541689583872951033620652
absolute error = 1.2e-31
relative error = 1.6238042659882630190767112462730e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.274
y[1] (analytic) = 0.7395004114563631942567170146022
y[1] (numeric) = 0.73950041145636319425671701460207
absolute error = 1.3e-31
relative error = 1.7579435790168063246104198021563e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.275
y[1] (analytic) = 0.739995614496615371906898763135
y[1] (numeric) = 0.73999561449661537190689876313497
absolute error = 3e-32
relative error = 4.0540780799637043613331725716018e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.276
y[1] (analytic) = 0.7404909345173774757571995733872
y[1] (numeric) = 0.74049093451737747575719957338748
absolute error = 2.8e-31
relative error = 3.7812751912012651142504970584100e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.277
y[1] (analytic) = 0.740986371498389258620372799212
y[1] (numeric) = 0.74098637149838925862037279921211
absolute error = 1.1e-31
relative error = 1.4845077349744362444554082792430e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=122.0MB, alloc=4.4MB, time=5.36
x[1] = 0.278
y[1] (analytic) = 0.74148192541940510573717140765
y[1] (numeric) = 0.74148192541940510573717140764956
absolute error = 4.4e-31
relative error = 5.9340623812390624890086968040857e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.279
y[1] (analytic) = 0.7419775962601940184939571763058
y[1] (numeric) = 0.74197759626019401849395717630683
absolute error = 1.03e-30
relative error = 1.3881820761051703334946941468599e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.28
y[1] (analytic) = 0.7424733840005395981654788570112
y[1] (numeric) = 0.74247338400053959816547885701144
absolute error = 2.4e-31
relative error = 3.2324391038349406768627662286945e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.281
y[1] (analytic) = 0.7429692886202400296827694464138
y[1] (numeric) = 0.74296928862024002968276944641336
absolute error = 4.4e-31
relative error = 5.9221828780718391093413992120713e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.282
y[1] (analytic) = 0.7434653100991080654261128247164
y[1] (numeric) = 0.74346531009910806542611282471668
absolute error = 2.8e-31
relative error = 3.7661474744890846483394715729625e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.283
y[1] (analytic) = 0.7439614484169710090430301438896
y[1] (numeric) = 0.7439614484169710090430301438898
memory used=125.8MB, alloc=4.4MB, time=5.76
absolute error = 2.0e-31
relative error = 2.6883113422821502264009640369558e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.284
y[1] (analytic) = 0.7444577035536706992912364665266
y[1] (numeric) = 0.74445770355367069929123646652681
absolute error = 2.1e-31
relative error = 2.8208452810356381263162425527678e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.285
y[1] (analytic) = 0.7449540754890634939065182760152
y[1] (numeric) = 0.74495407548906349390651827601511
absolute error = 9e-32
relative error = 1.2081281646914256005501303789550e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.286
y[1] (analytic) = 0.7454505642030202534954825978064
y[1] (numeric) = 0.74545056420302025349548259780633
absolute error = 7e-32
relative error = 9.3902940532131385186255568563398e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.287
y[1] (analytic) = 0.7459471696754263254531285903902
y[1] (numeric) = 0.74594716967542632545312859039005
absolute error = 1.5e-31
relative error = 2.0108662663773819975755854333292e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.288
y[1] (analytic) = 0.7464438918861815279051925830342
y[1] (numeric) = 0.74644389188618152790519258303424
absolute error = 4e-32
relative error = 5.3587416863877610657646142564722e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=129.7MB, alloc=4.4MB, time=6.16
x[1] = 0.289
y[1] (analytic) = 0.7469407308152001336752176554838
y[1] (numeric) = 0.74694073081520013367521765548354
absolute error = 2.6e-31
relative error = 3.4808652048769628879106458185069e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.29
y[1] (analytic) = 0.7474376864424108542762989725972
y[1] (numeric) = 0.74743768644241085427629897259774
absolute error = 5.4e-31
relative error = 7.2246825360150786233790611239153e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.291
y[1] (analytic) = 0.747934758747756823927456204369
y[1] (numeric) = 0.74793475874775682392745620436908
absolute error = 8e-32
relative error = 1.0696120091268579888897680726897e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.292
y[1] (analytic) = 0.748431947711195583594584478879
y[1] (numeric) = 0.74843194771119558359458447887948
absolute error = 4.8e-31
relative error = 6.4134087470197367501372646667565e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.293
y[1] (analytic) = 0.748929253312699065055935432548
y[1] (numeric) = 0.7489292533126990650559354325486
absolute error = 6.0e-31
relative error = 8.0114376270662656894007541148637e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.294
y[1] (analytic) = 0.749426675532253574992080038482
y[1] (numeric) = 0.74942667553225357499208003848176
absolute error = 2.4e-31
relative error = 3.2024480557694127628834321205203e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=133.5MB, alloc=4.4MB, time=6.56
x[1] = 0.295
y[1] (analytic) = 0.7499242143498597791003050098538
y[1] (numeric) = 0.74992421434985977910030500985431
absolute error = 5.1e-31
relative error = 6.8006871926670620626782805152882e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.296
y[1] (analytic) = 0.7504218697455326862333946910672
y[1] (numeric) = 0.75042186974553268623339469106726
absolute error = 6e-32
relative error = 7.9955025858116236207580550881476e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.297
y[1] (analytic) = 0.7509196416993016325627504648784
y[1] (numeric) = 0.75091964169930163256275046487854
absolute error = 1.4e-31
relative error = 1.8643805838289900503615851068282e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.298
y[1] (analytic) = 0.751417530191210265765799818856
y[1] (numeric) = 0.75141753019121026576579981885696
absolute error = 9.6e-31
relative error = 1.2775853123305661672423187609234e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.299
y[1] (analytic) = 0.7519155352013165292376473293218
y[1] (numeric) = 0.75191553520131652923764732932184
absolute error = 4e-32
relative error = 5.3197464512141607873778984734462e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.3
y[1] (analytic) = 0.7524136567096926463269199354222
y[1] (numeric) = 0.75241365670969264632691993542252
absolute error = 3.2e-31
relative error = 4.2529796893820486286705726117409e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=137.3MB, alloc=4.4MB, time=6.95
x[1] = 0.301
y[1] (analytic) = 0.7529118946964251045957589901788
y[1] (numeric) = 0.75291189469642510459575899017878
absolute error = 2e-32
relative error = 2.6563533051983488410450716097783e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.302
y[1] (analytic) = 0.7534102491416146401039116891466
y[1] (numeric) = 0.75341024914161464010391168914699
absolute error = 3.9e-31
relative error = 5.1764626303443571917647695877488e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.303
y[1] (analytic) = 0.753908720025376221716874590898
y[1] (numeric) = 0.75390872002537622171687459089871
absolute error = 7.1e-31
relative error = 9.4175857254456710045659339434609e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.304
y[1] (analytic) = 0.7544073073278390354380420566992
y[1] (numeric) = 0.75440730732783903543804205669936
absolute error = 1.6e-31
relative error = 2.1208702307872741074198561659170e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.305
y[1] (analytic) = 0.7549060110291464687648125496554
y[1] (numeric) = 0.75490601102914646876481254965552
absolute error = 1.2e-31
relative error = 1.5896018609840804658930442639636e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=141.1MB, alloc=4.4MB, time=7.35
x[1] = 0.306
y[1] (analytic) = 0.7554048311094560950686058461614
y[1] (numeric) = 0.75540483110945609506860584616156
absolute error = 1.6e-31
relative error = 2.1180695887926673502134207437228e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.307
y[1] (analytic) = 0.7559037675489396579987443247204
y[1] (numeric) = 0.75590376754893965799874432472052
absolute error = 1.2e-31
relative error = 1.5875036631859466339436203040682e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.308
y[1] (analytic) = 0.7564028203277830559101516091414
y[1] (numeric) = 0.75640282032778305591015160914184
absolute error = 4.4e-31
relative error = 5.8170063380954659664679034444363e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.309
y[1] (analytic) = 0.7569019894261863263148219547292
y[1] (numeric) = 0.75690198942618632631482195473003
absolute error = 8.3e-31
relative error = 1.0965752654834873423431999295645e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.31
y[1] (analytic) = 0.757401274824363630357013877376
y[1] (numeric) = 0.75740127482436363035701387737557
absolute error = 4.3e-31
relative error = 5.6773075817665367582172014575262e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.311
y[1] (analytic) = 0.7579006765025432373121216364428
y[1] (numeric) = 0.75790067650254323731212163644251
absolute error = 2.9e-31
relative error = 3.8263589015153341946807161136638e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=144.9MB, alloc=4.4MB, time=7.76
x[1] = 0.312
y[1] (analytic) = 0.7584001944409675091091782930182
y[1] (numeric) = 0.75840019444096750910917829301793
absolute error = 2.7e-31
relative error = 3.5601256695223106066282217068396e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.313
y[1] (analytic) = 0.7588998286198928848769441754468
y[1] (numeric) = 0.75889982861989288487694417544727
absolute error = 4.7e-31
relative error = 6.1931757298552114446785441771287e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.314
y[1] (analytic) = 0.759399579019589865513534694127
y[1] (numeric) = 0.75939957901958986551353469412777
absolute error = 7.7e-31
relative error = 1.0139589502987289390206563322496e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.315
y[1] (analytic) = 0.759899445620342998279541557271
y[1] (numeric) = 0.75989944562034299827954155727107
absolute error = 7e-32
relative error = 9.2117451069931475222237786056220e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.316
y[1] (analytic) = 0.760399428402450861414601548776
y[1] (numeric) = 0.76039942840245086141460154877569
absolute error = 3.1e-31
relative error = 4.0768047478848003780910584752488e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.317
y[1] (analytic) = 0.760899527346226048777367138472
y[1] (numeric) = 0.7608995273462260487773671384726
absolute error = 6.0e-31
relative error = 7.8854037679929689460743109480116e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=148.7MB, alloc=4.4MB, time=8.14
x[1] = 0.318
y[1] (analytic) = 0.761399742431995154508833303822
y[1] (numeric) = 0.76139974243199515450883330382276
absolute error = 7.6e-31
relative error = 9.9816161950945212817687945687443e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.319
y[1] (analytic) = 0.761900073640098757718975050655
y[1] (numeric) = 0.76190007364009875771897505065536
absolute error = 3.6e-31
relative error = 4.7250290747452320549515669249551e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.32
y[1] (analytic) = 0.762400520950891407196650228742
y[1] (numeric) = 0.76240052095089140719665022874091
absolute error = 1.09e-30
relative error = 1.4296947208804573939697205295088e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.321
y[1] (analytic) = 0.762901084344741606142722345894
y[1] (numeric) = 0.762901084344741606142722345895
absolute error = 1.00e-30
relative error = 1.3107859203777426491370805693607e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.322
y[1] (analytic) = 0.763401763802031796926358191907
y[1] (numeric) = 0.76340176380203179692635819190741
absolute error = 4.1e-31
relative error = 5.3706975729011118027220100584888e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.323
y[1] (analytic) = 0.763902559303158345864455190888
y[1] (numeric) = 0.76390255930315834586445519088848
absolute error = 4.8e-31
relative error = 6.2835239148545610301757681337019e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=152.5MB, alloc=4.4MB, time=8.51
TOP MAIN SOLVE Loop
x[1] = 0.324
y[1] (analytic) = 0.76440347082853152802415350762
y[1] (numeric) = 0.76440347082853152802415350762117
absolute error = 1.17e-30
relative error = 1.5306052950437878782725961665897e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.325
y[1] (analytic) = 0.764904498358575512048388040204
y[1] (numeric) = 0.76490449835857551204838804020389
absolute error = 1.1e-31
relative error = 1.4380880258391902537407445914749e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.326
y[1] (analytic) = 0.765405641873728345004435537667
y[1] (numeric) = 0.76540564187372834500443553766708
absolute error = 8e-32
relative error = 1.0451974172042735055609546657959e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.327
y[1] (analytic) = 0.765906901354441937255412187346
y[1] (numeric) = 0.76590690135444193725541218734659
absolute error = 5.9e-31
relative error = 7.7032861168457239759385326480370e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.328
y[1] (analytic) = 0.7664082767811820473546771226
y[1] (numeric) = 0.76640827678118204735467712260002
absolute error = 2e-32
relative error = 2.6095751580342364874474685818681e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=156.4MB, alloc=4.4MB, time=8.89
x[1] = 0.329
y[1] (analytic) = 0.766909768134428266963097406959
y[1] (numeric) = 0.7669097681344282669630974069595
absolute error = 5.0e-31
relative error = 6.5196718150596978922993364540725e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.33
y[1] (analytic) = 0.767411375394674005789130156026
y[1] (numeric) = 0.76741137539467400578913015602656
absolute error = 5.6e-31
relative error = 7.2972595657967167034551204340405e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.331
y[1] (analytic) = 0.767913098542426476551677563333
y[1] (numeric) = 0.76791309854242647655167756333315
absolute error = 1.5e-31
relative error = 1.9533460268448935834824187338977e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.332
y[1] (analytic) = 0.768414937558206679965670701018
y[1] (numeric) = 0.76841493755820667996567070101789
absolute error = 1.1e-31
relative error = 1.4315182412974319306016622204164e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.333
y[1] (analytic) = 0.7689168924225493897503380705
y[1] (numeric) = 0.76891689242254938975033807049978
absolute error = 2.2e-31
relative error = 2.8611674703473875970345997731690e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.334
y[1] (analytic) = 0.769418963116003137660114982373
y[1] (numeric) = 0.7694189631160031376601149823735
absolute error = 5.0e-31
relative error = 6.4984101506296824045453327535464e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=160.2MB, alloc=4.4MB, time=9.27
x[1] = 0.335
y[1] (analytic) = 0.769921149619130198538149948503
y[1] (numeric) = 0.76992114961913019853814994850195
absolute error = 1.05e-30
relative error = 1.3637760185175080609374033101543e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.336
y[1] (analytic) = 0.770423451912506575392364372744
y[1] (numeric) = 0.77042345191250657539236437274409
absolute error = 9e-32
relative error = 1.1681887379801735750821320101173e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.337
y[1] (analytic) = 0.77092586997672198449402192993
y[1] (numeric) = 0.77092586997672198449402192992997
absolute error = 3e-32
relative error = 3.8914247359354857884629722633739e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.338
y[1] (analytic) = 0.771428403792379840498764125581
y[1] (numeric) = 0.77142840379237984049876412558141
absolute error = 4.1e-31
relative error = 5.3148159697571402094246623976310e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.339
y[1] (analytic) = 0.771931053340097241590068631476
y[1] (numeric) = 0.77193105334009724159006863147662
absolute error = 6.2e-31
relative error = 8.0318053965739413512581871418811e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.34
y[1] (analytic) = 0.772433818600504954645087094471
y[1] (numeric) = 0.7724338186005049546450870944713
absolute error = 3.0e-31
relative error = 3.8838278798245756184339128038557e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=164.0MB, alloc=4.4MB, time=9.67
x[1] = 0.341
y[1] (analytic) = 0.772936699554247400422819218018
y[1] (numeric) = 0.77293669955424740042281921801867
absolute error = 6.7e-31
relative error = 8.6682389435821717908567524063775e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.342
y[1] (analytic) = 0.773439696181982638774580017576
y[1] (numeric) = 0.77343969618198263877458001757623
absolute error = 2.3e-31
relative error = 2.9737289298102343099193937857620e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.343
y[1] (analytic) = 0.77394280846438235387671725255
y[1] (numeric) = 0.77394280846438235387671725255048
absolute error = 4.8e-31
relative error = 6.2020086594304221765827390667709e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.344
y[1] (analytic) = 0.774446036382131839485536138611
y[1] (numeric) = 0.77444603638213183948553613861144
absolute error = 4.4e-31
relative error = 5.6814804302632203442286588010810e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.345
y[1] (analytic) = 0.774949379915929984214388545109
y[1] (numeric) = 0.77494937991592998421438854510891
absolute error = 9e-32
relative error = 1.1613661786498055821039103332205e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.346
memory used=167.8MB, alloc=4.4MB, time=10.07
y[1] (analytic) = 0.775452839046489256832883982942
y[1] (numeric) = 0.77545283904648925683288398294211
absolute error = 1.1e-31
relative error = 1.4185259819959905792528402016670e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.347
y[1] (analytic) = 0.775956413754535691588179788575
y[1] (numeric) = 0.77595641375453569158817978857484
absolute error = 1.6e-31
relative error = 2.0619714865919523218493382910710e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.348
y[1] (analytic) = 0.77646010402080887354830800995
y[1] (numeric) = 0.77646010402080887354830800995028
absolute error = 2.8e-31
relative error = 3.6061092971815599267848165565785e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.349
y[1] (analytic) = 0.776963909826061923967496599845
y[1] (numeric) = 0.77696390982606192396749659984436
absolute error = 6.4e-31
relative error = 8.2371908386745545573559718106418e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.35
y[1] (analytic) = 0.777467831151061485673442621704
y[1] (numeric) = 0.77746783115106148567344262170445
absolute error = 4.5e-31
relative error = 5.7880208282542470552393614871273e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.351
y[1] (analytic) = 0.777971867976587708476495272252
y[1] (numeric) = 0.77797186797658770847649527225259
absolute error = 5.9e-31
relative error = 7.5838217843855950925957407074778e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=171.6MB, alloc=4.4MB, time=10.46
x[1] = 0.352
y[1] (analytic) = 0.778476020283434234600706624089
y[1] (numeric) = 0.77847602028343423460070662408984
absolute error = 8.4e-31
relative error = 1.0790313100385103532528041801277e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.353
y[1] (analytic) = 0.778980288052408184136708090221
y[1] (numeric) = 0.77898028805240818413670809022182
absolute error = 8.2e-31
relative error = 1.0526582155886749401345700818461e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.354
y[1] (analytic) = 0.779484671264330140516370710836
y[1] (numeric) = 0.77948467126433014051637071083609
absolute error = 9e-32
relative error = 1.1546089784423766384584403742401e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.355
y[1] (analytic) = 0.779989169900034136009207460799
y[1] (numeric) = 0.77998916990003413600920746080003
absolute error = 1.03e-30
relative error = 1.3205311557492625672113304612213e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.356
y[1] (analytic) = 0.780493783940367637240475874215
y[1] (numeric) = 0.78049378394036763724047587421498
absolute error = 2e-32
relative error = 2.5624803696742916775985199211147e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.357
y[1] (analytic) = 0.780998513366191530730939379958
y[1] (numeric) = 0.78099851336619153073093937995862
absolute error = 6.2e-31
relative error = 7.9385554439499531162199980155150e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=175.4MB, alloc=4.4MB, time=10.86
x[1] = 0.358
y[1] (analytic) = 0.781503358158380108458245839475
y[1] (numeric) = 0.78150335815838010845824583947442
absolute error = 5.8e-31
relative error = 7.4215931888862942874408098320061e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.359
y[1] (analytic) = 0.782008318297821053439881875126
y[1] (numeric) = 0.78200831829782105343988187512502
absolute error = 9.8e-31
relative error = 1.2531836005698030694409021589981e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.36
y[1] (analytic) = 0.782513393765415425337661674216
y[1] (numeric) = 0.7825133937654154253376616742166
absolute error = 6.0e-31
relative error = 7.6676003858902647424905917555907e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.361
y[1] (analytic) = 0.783018584542077646083709050324
y[1] (numeric) = 0.78301858454207764608370905032417
absolute error = 1.7e-31
relative error = 2.1710851230870700343806927434299e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.362
y[1] (analytic) = 0.783523890608735485527891639805
y[1] (numeric) = 0.78352389060873548552789163980481
absolute error = 1.9e-31
relative error = 2.4249420123282415125190187989796e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.363
y[1] (analytic) = 0.784029311946330047106666207377
y[1] (numeric) = 0.78402931194633004710666620737731
absolute error = 3.1e-31
relative error = 3.9539338042149723109020414312100e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=179.2MB, alloc=4.4MB, time=11.27
x[1] = 0.364
y[1] (analytic) = 0.784534848535815753533294130374
y[1] (numeric) = 0.78453484853581575353329413037364
absolute error = 3.6e-31
relative error = 4.5887062973922847051400588644285e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.365
y[1] (analytic) = 0.785040500358160332509386226731
y[1] (numeric) = 0.78504050035816033250938622673112
absolute error = 1.2e-31
relative error = 1.5285835564566694395398697517563e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.366
y[1] (analytic) = 0.785546267394344802457736186995
y[1] (numeric) = 0.78554626739434480245773618699457
absolute error = 4.3e-31
relative error = 5.4738978192374209905054342429082e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.367
y[1] (analytic) = 0.786052149625363458276401965536
y[1] (numeric) = 0.78605214962536345827640196553633
absolute error = 3.3e-31
relative error = 4.1981947400980929304913789732754e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.368
y[1] (analytic) = 0.786558147032223857113994580879
y[1] (numeric) = 0.78655814703222385711399458087931
absolute error = 3.1e-31
relative error = 3.9412216524571814480444739147455e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=183.1MB, alloc=4.4MB, time=11.67
x[1] = 0.369
y[1] (analytic) = 0.787064259595946804166133869425
y[1] (numeric) = 0.78706425959594680416613386942527
absolute error = 2.7e-31
relative error = 3.4304695799375926394938128702144e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.37
y[1] (analytic) = 0.787570487297566338493030831048
y[1] (numeric) = 0.78757048729756633849303083104803
absolute error = 3e-32
relative error = 3.8091828584055555197230768435928e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.371
y[1] (analytic) = 0.78807683011812971885815629891
y[1] (numeric) = 0.78807683011812971885815629891011
absolute error = 1.1e-31
relative error = 1.3958029952931292049084226816291e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.372
y[1] (analytic) = 0.788583288038697409587955759502
y[1] (numeric) = 0.78858328803869740958795575950223
absolute error = 2.3e-31
relative error = 2.9166228030527756413431565355110e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.373
y[1] (analytic) = 0.789089861040343066452570242289
y[1] (numeric) = 0.78908986104034306645257024228895
absolute error = 5e-32
relative error = 6.3364139458184847100865893049645e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.374
y[1] (analytic) = 0.789596549104153522567523291472
y[1] (numeric) = 0.78959654910415352256752329147141
absolute error = 5.9e-31
relative error = 7.4721704479254849512059004474289e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=186.9MB, alloc=4.4MB, time=12.08
x[1] = 0.375
y[1] (analytic) = 0.79010335221122877431633412525
y[1] (numeric) = 0.79010335221122877431633412525036
absolute error = 3.6e-31
relative error = 4.5563659360827068203408323763552e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.376
y[1] (analytic) = 0.79061027034268196729401718059
y[1] (numeric) = 0.79061027034268196729401718059009
absolute error = 9e-32
relative error = 1.1383611290679340262047971646158e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.377
y[1] (analytic) = 0.791117303479639382271428333848
y[1] (numeric) = 0.79111730347963938227142833384789
absolute error = 1.1e-31
relative error = 1.3904385546388319995658759676032e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.378
y[1] (analytic) = 0.791624451603240421180418179744
y[1] (numeric) = 0.79162445160324042118041817974418
absolute error = 1.8e-31
relative error = 2.2738054595895101235003282936808e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.379
y[1] (analytic) = 0.792131714694637593119752843007
y[1] (numeric) = 0.7921317146946375931197528430071
absolute error = 1.0e-31
relative error = 1.2624163146724840884994501390377e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.38
y[1] (analytic) = 0.792639092734996500381762888633
y[1] (numeric) = 0.79263909273499650038176288863243
absolute error = 5.7e-31
relative error = 7.1911668907625836622606269745042e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=190.7MB, alloc=4.4MB, time=12.48
x[1] = 0.381
y[1] (analytic) = 0.793146585705495824499680988056
y[1] (numeric) = 0.7931465857054958244996809880562
absolute error = 2.0e-31
relative error = 2.5216019788082682508185213759962e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.382
y[1] (analytic) = 0.793654193587327312315629089644
y[1] (numeric) = 0.79365419358732731231562908964396
absolute error = 4e-32
relative error = 5.0399784091355301726902475054121e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.383
y[1] (analytic) = 0.794161916361695762069215932758
y[1] (numeric) = 0.7941619163616957620692159327583
absolute error = 3.0e-31
relative error = 3.7775671915167359346109546049565e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.384
y[1] (analytic) = 0.794669754009819009506705835275
y[1] (numeric) = 0.79466975400981900950670583527553
absolute error = 5.3e-31
relative error = 6.6694371759548718560703164683364e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.385
y[1] (analytic) = 0.795177706512927914010719774784
y[1] (numeric) = 0.79517770651292791401071977478428
absolute error = 2.8e-31
relative error = 3.5212254783635309320676492925323e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.386
y[1] (analytic) = 0.795685773852266344750429873813
y[1] (numeric) = 0.79568577385226634475042987381386
absolute error = 8.6e-31
relative error = 1.0808286741590968430862884532664e-28 %
Correct digits = 29
h = 0.001
NO POLE
memory used=194.5MB, alloc=4.4MB, time=12.89
TOP MAIN SOLVE Loop
x[1] = 0.387
y[1] (analytic) = 0.79619395600909116685220848931
y[1] (numeric) = 0.79619395600909116685220848930956
absolute error = 4.4e-31
relative error = 5.5262916363431419475131512009357e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.388
y[1] (analytic) = 0.796702252964672227590693196196
y[1] (numeric) = 0.79670225296467222759069319619598
absolute error = 2e-32
relative error = 2.5103481163228052361508561037176e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.389
y[1] (analytic) = 0.797210664700292342600229044249
y[1] (numeric) = 0.79721066470029234260022904424925
absolute error = 2.5e-31
relative error = 3.1359339641296236574427499269294e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.39
y[1] (analytic) = 0.797719191197247282106649556635
y[1] (numeric) = 0.79771919119724728210664955663509
absolute error = 9e-32
relative error = 1.1282165578206107747283277849901e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.391
y[1] (analytic) = 0.798227832436845757179358027363
y[1] (numeric) = 0.79822783243684575717935802736269
absolute error = 3.1e-31
relative error = 3.8836029940678196115221668447012e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=198.3MB, alloc=4.4MB, time=13.29
x[1] = 0.392
y[1] (analytic) = 0.798736588400409406003670763556
y[1] (numeric) = 0.79873658840040940600367076355584
absolute error = 1.6e-31
relative error = 2.0031635250417681915552944891079e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.393
y[1] (analytic) = 0.799245459069272780173384006852
y[1] (numeric) = 0.79924545906927278017338400685214
absolute error = 1.4e-31
relative error = 1.7516521165228893568125572022145e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.394
y[1] (analytic) = 0.799754444424783331003526356411
y[1] (numeric) = 0.79975444442478333100352635641075
absolute error = 2.5e-31
relative error = 3.1259594959776735078905038236695e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.395
y[1] (analytic) = 0.800263544448301395863258603938
y[1] (numeric) = 0.80026354444830139586325860393823
absolute error = 2.3e-31
relative error = 2.8740531990440863304942356330662e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.396
y[1] (analytic) = 0.800772759121200184528882978833
y[1] (numeric) = 0.80077275912120018452888297883262
absolute error = 3.8e-31
relative error = 4.7454161704629798532813747183891e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.397
y[1] (analytic) = 0.801282088424865765556923888998
y[1] (numeric) = 0.80128208842486576555692388899778
absolute error = 2.2e-31
relative error = 2.7455998727298252150117325634698e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=202.1MB, alloc=4.4MB, time=13.68
x[1] = 0.398
y[1] (analytic) = 0.801791532340697052677242330095
y[1] (numeric) = 0.80179153234069705267724233009459
absolute error = 4.1e-31
relative error = 5.1135486402939823633983205989302e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.399
y[1] (analytic) = 0.802301090850105791206146222974
y[1] (numeric) = 0.80230109085010579120614622297328
absolute error = 7.2e-31
relative error = 8.9741869755791951880476141971130e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.4
y[1] (analytic) = 0.802810763934516544479459025773
y[1] (numeric) = 0.80281076393451654447945902577259
absolute error = 4.1e-31
relative error = 5.1070565869174466037058446996297e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.401
y[1] (analytic) = 0.803320551575366680305509053678
y[1] (numeric) = 0.8033205515753666803055090536779
absolute error = 1.0e-31
relative error = 1.2448330844255527090076925631190e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.402
y[1] (analytic) = 0.803830453754106357438002025602
y[1] (numeric) = 0.80383045375410635743800202560193
absolute error = 7e-32
relative error = 8.7083040550505400541017509487769e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.403
y[1] (analytic) = 0.804340470452198512068739443089
y[1] (numeric) = 0.80434047045219851206873944308946
absolute error = 4.6e-31
relative error = 5.7189712180140453763940314841125e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=206.0MB, alloc=4.4MB, time=14.08
x[1] = 0.404
y[1] (analytic) = 0.804850601651118844340145492552
y[1] (numeric) = 0.80485060165111884434014549255206
absolute error = 6e-32
relative error = 7.4547996705118189428413523117902e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.405
y[1] (analytic) = 0.805360847332355804877565247511
y[1] (numeric) = 0.80536084733235580487756524751115
absolute error = 1.5e-31
relative error = 1.8625191489858718561953170000819e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.406
y[1] (analytic) = 0.805871207477410581341297032868
y[1] (numeric) = 0.80587120747741058134129703286805
absolute error = 5e-32
relative error = 6.2044653706531080722487628277254e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.407
y[1] (analytic) = 0.80638168206779708499832189833
y[1] (numeric) = 0.80638168206779708499832189832936
absolute error = 6.4e-31
relative error = 7.9366882238551590435087677554677e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.408
y[1] (analytic) = 0.806892271085041937313693232995
y[1] (numeric) = 0.80689227108504193731369323299527
absolute error = 2.7e-31
relative error = 3.3461715978135017787744845771436e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.409
y[1] (analytic) = 0.807402974510684456561549637768
y[1] (numeric) = 0.80740297451068445656154963776817
absolute error = 1.7e-31
relative error = 2.1055161470395396768349590448256e-29 %
Correct digits = 30
h = 0.001
memory used=209.8MB, alloc=4.4MB, time=14.49
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.41
y[1] (analytic) = 0.807913792326276644455714256659
y[1] (numeric) = 0.80791379232627664445571425665996
absolute error = 9.6e-31
relative error = 1.1882455889703430343734651876198e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.411
y[1] (analytic) = 0.808424724513383172799843852269
y[1] (numeric) = 0.80842472451338317279984385226924
absolute error = 2.4e-31
relative error = 2.9687365158761530260580533025545e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.412
y[1] (analytic) = 0.808935771053581370157090994665
y[1] (numeric) = 0.80893577105358137015709099466509
absolute error = 9e-32
relative error = 1.1125728793372728979313353245354e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.413
y[1] (analytic) = 0.809446931928461208539242816653
y[1] (numeric) = 0.80944693192846120853924281665305
absolute error = 5e-32
relative error = 6.1770572013754932694838724807306e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.414
y[1] (analytic) = 0.809958207119625290115299871912
y[1] (numeric) = 0.80995820711962529011529987191155
absolute error = 4.5e-31
relative error = 5.5558422156161703823837977278426e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=213.6MB, alloc=4.4MB, time=14.88
x[1] = 0.415
y[1] (analytic) = 0.810469596608688833939458715775
y[1] (numeric) = 0.81046959660868883393945871577483
absolute error = 1.7e-31
relative error = 2.0975493801537314098872017656372e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.416
y[1] (analytic) = 0.810981100377279662698461911501
y[1] (numeric) = 0.81098110037727966269846191150116
absolute error = 1.6e-31
relative error = 1.9729189733961220491892046852588e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.417
y[1] (analytic) = 0.811492718407038189478279247704
y[1] (numeric) = 0.81149271840703818947827924770453
absolute error = 5.3e-31
relative error = 6.5311738229813207417170584170095e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.418
y[1] (analytic) = 0.812004450679617404550084035244
y[1] (numeric) = 0.81200445067961740455008403524374
absolute error = 2.6e-31
relative error = 3.2019528930215802208387414210369e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.419
y[1] (analytic) = 0.812516297176682862175488434256
y[1] (numeric) = 0.81251629717668286217548843425637
absolute error = 3.7e-31
relative error = 4.5537548143424248950868371556630e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.42
y[1] (analytic) = 0.813028257879912667431001844197
y[1] (numeric) = 0.81302825787991266743100184419679
absolute error = 2.1e-31
relative error = 2.5829360537554377364480054141071e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=217.4MB, alloc=4.4MB, time=15.29
x[1] = 0.421
y[1] (analytic) = 0.813540332770997463051676471689
y[1] (numeric) = 0.81354033277099746305167647168791
absolute error = 1.09e-30
relative error = 1.3398229394323377107740340556787e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.422
y[1] (analytic) = 0.814052521831640416293904272727
y[1] (numeric) = 0.81405252183164041629390427272661
absolute error = 3.9e-31
relative error = 4.7908456707742805601574056918052e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.423
y[1] (analytic) = 0.814564825043557205817329547293
y[1] (numeric) = 0.81456482504355720581732954729303
absolute error = 3e-32
relative error = 3.6829481310337468478853280928097e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.424
y[1] (analytic) = 0.815077242388476008585841545705
y[1] (numeric) = 0.81507724238847600858584154570545
absolute error = 4.5e-31
relative error = 5.5209491395114227893964018035054e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.425
y[1] (analytic) = 0.815589773848137486787611527135
y[1] (numeric) = 0.81558977384813748678761152713546
absolute error = 4.6e-31
relative error = 5.6400903340121063029267186575185e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.426
y[1] (analytic) = 0.816102419404294774774138791553
y[1] (numeric) = 0.81610241940429477477413879155324
absolute error = 2.4e-31
relative error = 2.9408073581644988990980478987237e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=221.2MB, alloc=4.4MB, time=15.70
x[1] = 0.427
y[1] (analytic) = 0.816615179038713466018270287011
y[1] (numeric) = 0.81661517903871346601827028701131
absolute error = 3.1e-31
relative error = 3.7961577001901866164964980722788e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.428
y[1] (analytic) = 0.817128052733171600091158474597
y[1] (numeric) = 0.81712805273317160009115847459678
absolute error = 2.2e-31
relative error = 2.6923564704960596537084986051529e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.429
y[1] (analytic) = 0.817641040469459649658122213588
y[1] (numeric) = 0.81764104046945964965812221358855
absolute error = 5.5e-31
relative error = 6.7266682171947982153504727307028e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.43
y[1] (analytic) = 0.818154142229380507493375509347
y[1] (numeric) = 0.81815414222938050749337550934699
absolute error = 1e-32
relative error = 1.2222635667101915897620096889900e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.431
y[1] (analytic) = 0.81866735799474947351358904624
y[1] (numeric) = 0.81866735799474947351358904624059
absolute error = 5.9e-31
relative error = 7.2068343050240921837287960790225e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=225.0MB, alloc=4.4MB, time=16.11
x[1] = 0.432
y[1] (analytic) = 0.819180687747394241830249507477
y[1] (numeric) = 0.8191806877473942418302495074772
absolute error = 2.0e-31
relative error = 2.4414638063546827850124190737311e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.433
y[1] (analytic) = 0.819694131469154887820781763058
y[1] (numeric) = 0.81969413146915488782078176305765
absolute error = 3.5e-31
relative error = 4.2698853946006384138531095723863e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.434
y[1] (analytic) = 0.820207689141883855218399086207
y[1] (numeric) = 0.82020768914188385521839908620727
absolute error = 2.7e-31
relative error = 3.2918491691108003610644960342132e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.435
y[1] (analytic) = 0.820721360747445943220646637566
y[1] (numeric) = 0.82072136074744594322064663756698
absolute error = 9.8e-31
relative error = 1.1940715166807600681206118429255e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.436
y[1] (analytic) = 0.82123514626771829361660353514
y[1] (numeric) = 0.82123514626771829361660353514045
absolute error = 4.5e-31
relative error = 5.4795511619920659278829829973922e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.437
y[1] (analytic) = 0.821749045684590377932708906499
y[1] (numeric) = 0.82174904568459037793270890649863
absolute error = 3.7e-31
relative error = 4.5025911735833771571953290205496e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=228.8MB, alloc=4.4MB, time=16.51
x[1] = 0.438
y[1] (analytic) = 0.822263058979963984597177398037
y[1] (numeric) = 0.82226305897996398459717739803751
absolute error = 5.1e-31
relative error = 6.2023946525418105579673283812266e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.439
y[1] (analytic) = 0.82277718613575320612296969417
y[1] (numeric) = 0.82277718613575320612296969417093
absolute error = 9.3e-31
relative error = 1.1303181659275560966226151741642e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.44
y[1] (analytic) = 0.823291427133884426309283677217
y[1] (numeric) = 0.82329142713388442630928367721722
absolute error = 2.2e-31
relative error = 2.6722007875860389963356525483597e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.441
y[1] (analytic) = 0.823805781956296307461531936408
y[1] (numeric) = 0.82380578195629630746153193640806
absolute error = 6e-32
relative error = 7.2832700758081178362835804511926e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.442
y[1] (analytic) = 0.82432025058493977762977141191
y[1] (numeric) = 0.82432025058493977762977141190998
absolute error = 2e-32
relative error = 2.4262414984719771683489254331306e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.443
y[1] (analytic) = 0.824834833001778017865551037004
y[1] (numeric) = 0.82483483300177801786555103700468
absolute error = 6.8e-31
relative error = 8.2440747261522864030791525287425e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=232.7MB, alloc=4.4MB, time=16.92
x[1] = 0.444
y[1] (analytic) = 0.825349529188786449497143318624
y[1] (numeric) = 0.82534952918878644949714331862393
absolute error = 7e-32
relative error = 8.4812552166596728503951146697327e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.445
y[1] (analytic) = 0.825864339127952721423125873279
y[1] (numeric) = 0.82586433912795272142312587327937
absolute error = 3.7e-31
relative error = 4.4801546993867136982855771200134e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.446
y[1] (analytic) = 0.826379262801276697424279012068
y[1] (numeric) = 0.82637926280127669742427901206721
absolute error = 7.9e-31
relative error = 9.5597752213922024612524706407358e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.447
y[1] (analytic) = 0.826894300190770443493765544864
y[1] (numeric) = 0.82689430019077044349376554486362
absolute error = 3.8e-31
relative error = 4.5955087598539653203597781890524e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.448
y[1] (analytic) = 0.827409451278458215185559050059
y[1] (numeric) = 0.82740945127845821518555905005886
absolute error = 1.4e-31
relative error = 1.6920280495186667734680363513740e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.449
y[1] (analytic) = 0.827924716046376444981086932208
y[1] (numeric) = 0.82792471604637644498108693220785
absolute error = 1.5e-31
relative error = 1.8117589328206226199110736775264e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=236.5MB, alloc=4.4MB, time=17.31
TOP MAIN SOLVE Loop
x[1] = 0.45
y[1] (analytic) = 0.828440094476573729674054665802
y[1] (numeric) = 0.82844009447657372967405466580219
absolute error = 1.9e-31
relative error = 2.2934669780806068620477002260261e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.451
y[1] (analytic) = 0.828955586551110817773417698994
y[1] (numeric) = 0.82895558655111081777341769899455
absolute error = 5.5e-31
relative error = 6.6348548574030113523219490536008e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.452
y[1] (analytic) = 0.829471192252060596924467566531
y[1] (numeric) = 0.82947119225206059692446756653127
absolute error = 2.7e-31
relative error = 3.2550859212715383847156750881162e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.453
y[1] (analytic) = 0.829986911561508081347998836373
y[1] (numeric) = 0.82998691156150808134799883637364
absolute error = 6.4e-31
relative error = 7.7109649692659199715570724963564e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.454
y[1] (analytic) = 0.830502744461550399297523589514
y[1] (numeric) = 0.83050274446155039929752358951327
absolute error = 7.3e-31
relative error = 8.7898565642102661048170996568417e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=240.3MB, alloc=4.4MB, time=17.71
x[1] = 0.455
y[1] (analytic) = 0.831018690934296780534500207312
y[1] (numeric) = 0.83101869093429678053450020731281
absolute error = 8.1e-31
relative error = 9.7470731866371632412873249774780e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.456
y[1] (analytic) = 0.831534750961868543821543315331
y[1] (numeric) = 0.83153475096186854382154331533068
absolute error = 3.2e-31
relative error = 3.8483057939532120693575533629896e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.457
y[1] (analytic) = 0.832050924526399084433581807018
y[1] (numeric) = 0.83205092452639908443358180701801
absolute error = 1e-32
relative error = 1.2018495148829947285037173077067e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.458
y[1] (analytic) = 0.832567211610033861686931944909
y[1] (numeric) = 0.8325672116100338616869319449082
absolute error = 8.0e-31
relative error = 9.6088338436117993890987005408396e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.459
y[1] (analytic) = 0.833083612194930386486252610955
y[1] (numeric) = 0.83308361219493038648625261095514
absolute error = 1.4e-31
relative error = 1.6805035887231194099622593807020e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.46
y[1] (analytic) = 0.833600126263258208889349851516
y[1] (numeric) = 0.83360012626325820888934985151569
absolute error = 3.1e-31
relative error = 3.7188094175275987104887241459452e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=244.1MB, alloc=4.4MB, time=18.11
x[1] = 0.461
y[1] (analytic) = 0.834116753797198905689797936116
y[1] (numeric) = 0.83411675379719890568979793611614
absolute error = 1.4e-31
relative error = 1.6784221077285612706465168095869e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.462
y[1] (analytic) = 0.834633494778946068017344222592
y[1] (numeric) = 0.83463349477894606801734422259145
absolute error = 5.5e-31
relative error = 6.5897187620737450071019259282868e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.463
y[1] (analytic) = 0.835150349190705288956065194441
y[1] (numeric) = 0.83515034919070528895606519444127
absolute error = 2.7e-31
relative error = 3.2329508125290374285838970075320e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.464
y[1] (analytic) = 0.835667317014694151180241109308
y[1] (numeric) = 0.83566731701469415118024110930775
absolute error = 2.5e-31
relative error = 2.9916211261329497069449220550614e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.465
y[1] (analytic) = 0.836184398233142214607916770349
y[1] (numeric) = 0.83618439823314221460791677034863
absolute error = 3.7e-31
relative error = 4.4248613198453602725057579532090e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.466
y[1] (analytic) = 0.836701592828291004072116004954
y[1] (numeric) = 0.83670159282829100407211600495452
absolute error = 5.2e-31
relative error = 6.2148800056929625154781085262250e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=247.9MB, alloc=4.4MB, time=18.51
x[1] = 0.467
y[1] (analytic) = 0.837218900782393997009677507743
y[1] (numeric) = 0.83721890078239399700967750774335
absolute error = 3.5e-31
relative error = 4.1805076267738293155577144422770e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.468
y[1] (analytic) = 0.837736322077716611167679777057
y[1] (numeric) = 0.8377363220777166111676797770572
absolute error = 2.0e-31
relative error = 2.3873860393681968674043893246093e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.469
y[1] (analytic) = 0.838253856696536192327422946289
y[1] (numeric) = 0.83825385669653619232742294628859
absolute error = 4.1e-31
relative error = 4.8911197571552334954408656685913e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.47
y[1] (analytic) = 0.838771504621142002045935383275
y[1] (numeric) = 0.83877150462114200204593538327485
absolute error = 1.5e-31
relative error = 1.7883297080740994090908347288439e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.471
y[1] (analytic) = 0.839289265833835205414973002721
y[1] (numeric) = 0.83928926583383520541497300272109
absolute error = 9e-32
relative error = 1.0723358878012678795806858736404e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.472
y[1] (analytic) = 0.839807140316928858837479308146
y[1] (numeric) = 0.83980714031692885883747930814534
absolute error = 6.6e-31
relative error = 7.8589472310383939131584829978256e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=251.7MB, alloc=4.4MB, time=18.91
TOP MAIN SOLVE Loop
x[1] = 0.473
y[1] (analytic) = 0.840325128052747897821474251184
y[1] (numeric) = 0.8403251280527478978214742511839
absolute error = 1.0e-31
relative error = 1.1900155863686479924521128790467e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.474
y[1] (analytic) = 0.840843229023629124791340067251
y[1] (numeric) = 0.84084322902362912479134006725167
absolute error = 6.7e-31
relative error = 7.9681916542039712435402151792642e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.475
y[1] (analytic) = 0.841361443211921196916472317521
y[1] (numeric) = 0.84136144321192119691647231752155
absolute error = 5.5e-31
relative error = 6.5370240630514203825790980420169e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.476
y[1] (analytic) = 0.84187977059998461395726443797
y[1] (numeric) = 0.84187977059998461395726443796965
absolute error = 3.5e-31
relative error = 4.1573632271810570160863307740105e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.477
y[1] (analytic) = 0.842398211170191706128394166829
y[1] (numeric) = 0.84239821117019170612839416682962
absolute error = 6.2e-31
relative error = 7.3599396553649605424570541884665e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=255.5MB, alloc=4.4MB, time=19.32
x[1] = 0.478
y[1] (analytic) = 0.842916764904926621979380292211
y[1] (numeric) = 0.84291676490492662197938029221019
absolute error = 8.1e-31
relative error = 9.6094897352214920653310029955246e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.479
y[1] (analytic) = 0.843435431786585316292378231856
y[1] (numeric) = 0.843435431786585316292378231856
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.48
y[1] (analytic) = 0.843954211797575537997183027074
y[1] (numeric) = 0.8439542117975755379971830270731
absolute error = 9.0e-31
relative error = 1.0664085650844138213299283781807e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.481
y[1] (analytic) = 0.844473104920316818103408402699
y[1] (numeric) = 0.84447310492031681810340840269809
absolute error = 9.1e-31
relative error = 1.0775950053327822664296581495563e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.482
y[1] (analytic) = 0.844992111137240457649810614664
y[1] (numeric) = 0.84499211113724045764981061466386
absolute error = 1.4e-31
relative error = 1.6568202016889803096359947161617e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.483
y[1] (analytic) = 0.845511230430789515670725876206
y[1] (numeric) = 0.8455112304307895156707258762064
absolute error = 4.0e-31
relative error = 4.7308656065537919545425755768177e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=259.4MB, alloc=4.4MB, time=19.73
x[1] = 0.484
y[1] (analytic) = 0.846030462783418797179590223066
y[1] (numeric) = 0.8460304627834187971795902230661
absolute error = 1.0e-31
relative error = 1.1819905357899588208607210550976e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.485
y[1] (analytic) = 0.846549808177594841169510747165
y[1] (numeric) = 0.8465498081775948411695107471644
absolute error = 6.0e-31
relative error = 7.0875924157569239572131827938158e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.486
y[1] (analytic) = 0.847069266595795908630857197182
y[1] (numeric) = 0.84706926659579590863085719718284
absolute error = 8.4e-31
relative error = 9.9165444093585652689091502184359e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.487
y[1] (analytic) = 0.847588838020511970585843013238
y[1] (numeric) = 0.84758883802051197058584301323739
absolute error = 6.1e-31
relative error = 7.1968857143590388951268770862751e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.488
y[1] (analytic) = 0.848108522434244696140064931427
y[1] (numeric) = 0.84810852243424469614006493142622
absolute error = 7.8e-31
relative error = 9.1969362335994534669008456215016e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.489
y[1] (analytic) = 0.848628319819507440550970362435
y[1] (numeric) = 0.84862831981950744055097036243544
absolute error = 4.4e-31
relative error = 5.1848375752247162860176641049981e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=263.2MB, alloc=4.4MB, time=20.13
x[1] = 0.49
y[1] (analytic) = 0.849148230158825233313221816615
y[1] (numeric) = 0.84914823015882523331322181661428
absolute error = 7.2e-31
relative error = 8.4790849751324422480889540980899e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.491
y[1] (analytic) = 0.849668253434734766260927715979
y[1] (numeric) = 0.8496682534347347662609277159799
absolute error = 9.0e-31
relative error = 1.0592369390780484732021217062839e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.492
y[1] (analytic) = 0.850188389629784381686709001483
y[1] (numeric) = 0.85018838962978438168670900148285
absolute error = 1.5e-31
relative error = 1.7643148486809810618605952138498e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.493
y[1] (analytic) = 0.850708638726534060477571011558
y[1] (numeric) = 0.85070863872653406047757101155754
absolute error = 4.6e-31
relative error = 5.4072567158668533728661158134809e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.494
y[1] (analytic) = 0.851229000707555410267550175498
y[1] (numeric) = 0.85122900070755541026755017549886
absolute error = 8.6e-31
relative error = 1.0103039244259229799007083394027e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=267.0MB, alloc=4.4MB, time=20.54
x[1] = 0.495
y[1] (analytic) = 0.851749475555431653607105132547
y[1] (numeric) = 0.85174947555543165360710513254614
absolute error = 8.6e-31
relative error = 1.0096865624005088151313645910653e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.496
y[1] (analytic) = 0.852270063252757616149221954721
y[1] (numeric) = 0.85227006325275761614922195472052
absolute error = 4.8e-31
relative error = 5.6320176044673115030961620419915e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.497
y[1] (analytic) = 0.85279076378213971485220321845
y[1] (numeric) = 0.85279076378213971485220321845093
absolute error = 9.3e-31
relative error = 1.0905371393510832302392167874786e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.498
y[1] (analytic) = 0.853311577126195946199110736838
y[1] (numeric) = 0.85331157712619594619911073683853
absolute error = 5.3e-31
relative error = 6.2110958553374752603436344658214e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.499
y[1] (analytic) = 0.853832503267555874433831831051
y[1] (numeric) = 0.85383250326755587443383183105001
absolute error = 9.9e-31
relative error = 1.1594779962244829778205003452600e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.5
y[1] (analytic) = 0.854353542188860619813739085797
y[1] (numeric) = 0.85435354218886061981373908579691
absolute error = 9e-32
relative error = 1.0534280664351116161743215493117e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=270.8MB, alloc=4.4MB, time=20.94
x[1] = 0.501
y[1] (analytic) = 0.854874693872762846878913600151
y[1] (numeric) = 0.85487469387276284687891360015172
absolute error = 7.2e-31
relative error = 8.4222869756297030094891640359365e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.502
y[1] (analytic) = 0.855395958301926752737901811073
y[1] (numeric) = 0.85539595830192675273790181107272
absolute error = 2.8e-31
relative error = 3.2733378885240088084493917964594e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.503
y[1] (analytic) = 0.855917335459028055369976032959
y[1] (numeric) = 0.8559173354590280553699760329584
absolute error = 6.0e-31
relative error = 7.0100227573755155754412191804211e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.504
y[1] (analytic) = 0.856438825326753981943868922329
y[1] (numeric) = 0.85643882532675398194386892232963
absolute error = 6.3e-31
relative error = 7.3560420355725745776765528741671e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.505
y[1] (analytic) = 0.856960427887803257152952142345
y[1] (numeric) = 0.85696042788780325715295214234428
absolute error = 7.2e-31
relative error = 8.4017881872868151488371679675367e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.506
y[1] (analytic) = 0.857482143124886091566829567285
y[1] (numeric) = 0.85748214312488609156682956728453
absolute error = 4.7e-31
relative error = 5.4811637043215707965236467501616e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=274.6MB, alloc=4.4MB, time=21.35
x[1] = 0.507
y[1] (analytic) = 0.858003971020724169999315432423
y[1] (numeric) = 0.85800397102072416999931543242301
absolute error = 1e-32
relative error = 1.1654957713195083423473936875438e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.508
y[1] (analytic) = 0.85852591155805063989276789977
y[1] (numeric) = 0.85852591155805063989276789977008
absolute error = 8e-32
relative error = 9.3182976684787770178250697996053e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.509
y[1] (analytic) = 0.859047964719610099718748575133
y[1] (numeric) = 0.85904796471961009971874857513171
absolute error = 1.29e-30
relative error = 1.5016623669215617795186147674174e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.51
y[1] (analytic) = 0.859570130488158587394978576667
y[1] (numeric) = 0.85957013048815858739497857666615
absolute error = 8.5e-31
relative error = 9.8886637617023335453309362950674e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.511
y[1] (analytic) = 0.860092408846463568718561819717
y[1] (numeric) = 0.8600924088464635687185618197182
absolute error = 1.20e-30
relative error = 1.3951989200897759151346034479446e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.512
y[1] (analytic) = 0.860614799777303925815446247133
y[1] (numeric) = 0.86061479977730392581544624713306
absolute error = 6e-32
relative error = 6.9717601899857911163809805554735e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=278.4MB, alloc=4.4MB, time=21.75
x[1] = 0.513
y[1] (analytic) = 0.861137303263469945606093798507
y[1] (numeric) = 0.86113730326346994560609379850789
absolute error = 8.9e-31
relative error = 1.0335169509289035469362147338873e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.514
y[1] (analytic) = 0.861659919287763308287329975929
y[1] (numeric) = 0.86165991928776330828732997592882
absolute error = 1.8e-31
relative error = 2.0889912130157524218779690413100e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.515
y[1] (analytic) = 0.862182647832997075830343927664
y[1] (numeric) = 0.86218264783299707583034392766485
absolute error = 8.5e-31
relative error = 9.8586999185889805972011513045887e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.516
y[1] (analytic) = 0.862705488881995680494810035047
y[1] (numeric) = 0.86270548888199568049481003504805
absolute error = 1.05e-30
relative error = 1.2171013324149873520747827157295e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.517
y[1] (analytic) = 0.863228442417594913359102051364
y[1] (numeric) = 0.86322844241759491335910205136272
absolute error = 1.28e-30
relative error = 1.4828056364954526239987969380948e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=282.3MB, alloc=4.4MB, time=22.16
x[1] = 0.518
y[1] (analytic) = 0.863751508422641912866570904994
y[1] (numeric) = 0.86375150842264191286657090499461
absolute error = 6.1e-31
relative error = 7.0622163209180890773618910410933e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.519
y[1] (analytic) = 0.864274686879995153387857342356
y[1] (numeric) = 0.86427468687999515338785734235585
absolute error = 1.5e-31
relative error = 1.7355593340526419139118669479417e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.52
y[1] (analytic) = 0.864797977772524433799210649202
y[1] (numeric) = 0.86479797777252443379921064920226
absolute error = 2.6e-31
relative error = 3.0064825159476740966523985837560e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.521
y[1] (analytic) = 0.865321381083110866076784751897
y[1] (numeric) = 0.86532138108311086607678475189752
absolute error = 5.2e-31
relative error = 6.0093279949828947376922646546753e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.522
y[1] (analytic) = 0.865844896794646863906883062955
y[1] (numeric) = 0.86584489679464686390688306295416
absolute error = 8.4e-31
relative error = 9.7015066221407028858249827534919e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.523
y[1] (analytic) = 0.866368524890036131312123497794
y[1] (numeric) = 0.86636852489003613131212349779436
absolute error = 3.6e-31
relative error = 4.1552756091374974424943840317054e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=286.1MB, alloc=4.4MB, time=22.56
x[1] = 0.524
y[1] (analytic) = 0.866892265352193651293495152125
y[1] (numeric) = 0.86689226535219365129349515212541
absolute error = 4.1e-31
relative error = 4.7295381027933000493960086866209e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.525
y[1] (analytic) = 0.867416118164045674488278191615
y[1] (numeric) = 0.86741611816404567448827819161502
absolute error = 2e-32
relative error = 2.3056984509731696528649565148255e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.526
y[1] (analytic) = 0.867940083308529707843798567682
y[1] (numeric) = 0.86794008330852970784379856768157
absolute error = 4.3e-31
relative error = 4.9542590354954996440648014373607e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.527
y[1] (analytic) = 0.868464160768594503306989235183
y[1] (numeric) = 0.86846416076859450330698923518411
absolute error = 1.11e-30
relative error = 1.2781183728038302053677181394205e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.528
y[1] (analytic) = 0.868988350527200046529729609607
y[1] (numeric) = 0.86898835052720004652972960960683
absolute error = 1.7e-31
relative error = 1.9562978018849616428347289860926e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.529
y[1] (analytic) = 0.869512652567317545589935062984
y[1] (numeric) = 0.86951265256731754558993506298355
absolute error = 4.5e-31
relative error = 5.1753128453201095214574660585730e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=289.9MB, alloc=4.4MB, time=22.97
x[1] = 0.53
y[1] (analytic) = 0.870037066871929419728368319301
y[1] (numeric) = 0.87003706687192941972836831929979
absolute error = 1.21e-30
relative error = 1.3907453441614270478395882768790e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.531
y[1] (analytic) = 0.870561593424029288101144671444
y[1] (numeric) = 0.87056159342402928810114467144364
absolute error = 3.6e-31
relative error = 4.1352616830254857480655730100984e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.532
y[1] (analytic) = 0.871086232206621958547903002953
y[1] (numeric) = 0.8710862322066219585479030029527
absolute error = 3.0e-31
relative error = 3.4439759108583855474214890057128e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.533
y[1] (analytic) = 0.871610983202723416375614658824
y[1] (numeric) = 0.87161098320272341637561465882283
absolute error = 1.17e-30
relative error = 1.3423419651056368697564119309166e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.534
y[1] (analytic) = 0.872135846395360813158002270506
y[1] (numeric) = 0.8721358463953608131580022705063
absolute error = 3.0e-31
relative error = 3.4398310909927048024797574134897e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.535
y[1] (analytic) = 0.872660821767572455550540700932
y[1] (numeric) = 0.87266082176757245555054070093209
absolute error = 9e-32
relative error = 1.0313285271327433983075512778833e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=293.7MB, alloc=4.4MB, time=23.37
TOP MAIN SOLVE Loop
x[1] = 0.536
y[1] (analytic) = 0.87318590930240779412101233593
y[1] (numeric) = 0.87318590930240779412101233593062
absolute error = 6.2e-31
relative error = 7.1004352383024690361624305365584e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.537
y[1] (analytic) = 0.873711108982927412195589008839
y[1] (numeric) = 0.87371110898292741219558900883889
absolute error = 1.1e-31
relative error = 1.2589973833347406177623707452672e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.538
y[1] (analytic) = 0.874236420792203014720412905301
y[1] (numeric) = 0.87423642079220301472041290530108
absolute error = 8e-32
relative error = 9.1508427351387108741028248819551e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.539
y[1] (analytic) = 0.874761844713317417138648855364
y[1] (numeric) = 0.87476184471331741713864885536371
absolute error = 2.9e-31
relative error = 3.3151880337789614820189109900224e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.54
y[1] (analytic) = 0.875287380729364534282980479894
y[1] (numeric) = 0.87528738072936453428298047989494
absolute error = 9.4e-31
relative error = 1.0739329969737611889378631111366e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=297.5MB, alloc=4.4MB, time=23.78
x[1] = 0.541
y[1] (analytic) = 0.875813028823449369283522718134
y[1] (numeric) = 0.87581302882344936928352271813383
absolute error = 1.7e-31
relative error = 1.9410535628634661825498034914363e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.542
y[1] (analytic) = 0.876338788978688002491123322799
y[1] (numeric) = 0.876338788978688002491123322799
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.543
y[1] (analytic) = 0.876864661178207580416025968656
y[1] (numeric) = 0.87686466117820758041602596865646
absolute error = 4.6e-31
relative error = 5.2459634920389721796907133641009e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.544
y[1] (analytic) = 0.877390645405146304681867679765
y[1] (numeric) = 0.87739064540514630468186767976497
absolute error = 3e-32
relative error = 3.4192295253099168762638797226148e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.545
y[1] (analytic) = 0.877916741642653420994983339784
y[1] (numeric) = 0.87791674164265342099498333978347
absolute error = 5.3e-31
relative error = 6.0370189433718625527731597592066e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.546
y[1] (analytic) = 0.87844294987388920812899010874
y[1] (numeric) = 0.87844294987388920812899010874041
absolute error = 4.1e-31
relative error = 4.6673492007518565703616173897533e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=301.3MB, alloc=4.4MB, time=24.18
x[1] = 0.547
y[1] (analytic) = 0.878969270082024966924624628528
y[1] (numeric) = 0.87896927008202496692462462852883
absolute error = 8.3e-31
relative error = 9.4428784742673065299256415477037e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.548
y[1] (analytic) = 0.879495702250243009304805958105
y[1] (numeric) = 0.87949570225024300930480595810466
absolute error = 3.4e-31
relative error = 3.8658517503847876955940589378349e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.549
y[1] (analytic) = 0.880022246361736647304897237929
y[1] (numeric) = 0.88002224636173664730489723792921
absolute error = 2.1e-31
relative error = 2.3863033107197004209910383612813e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.55
y[1] (analytic) = 0.880548902399710182118139141612
y[1] (numeric) = 0.88054890239971018211813914161098
absolute error = 1.02e-30
relative error = 1.1583683736590342899602579399743e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.551
y[1] (analytic) = 0.881075670347378893156228230966
y[1] (numeric) = 0.88107567034737889315622823096631
absolute error = 3.1e-31
relative error = 3.5184265146917209638473664641536e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.552
y[1] (analytic) = 0.881602550187969027125013388835
y[1] (numeric) = 0.88160255018796902712501338883484
absolute error = 1.6e-31
relative error = 1.8148767828074673522483642277655e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=305.1MB, alloc=4.4MB, time=24.59
x[1] = 0.553
y[1] (analytic) = 0.882129541904717787115283561953
y[1] (numeric) = 0.88212954190471778711528356195306
absolute error = 6e-32
relative error = 6.8017220997322444656199579007747e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.554
y[1] (analytic) = 0.88265664548087332170862010401
y[1] (numeric) = 0.88265664548087332170862010400947
absolute error = 5.3e-31
relative error = 6.0045998941213976850337029032681e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.555
y[1] (analytic) = 0.883183860899694714098287066677
y[1] (numeric) = 0.88318386089969471409828706667695
absolute error = 5e-32
relative error = 5.6613353361173589872411875731933e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.556
y[1] (analytic) = 0.883711188144451971225132843944
y[1] (numeric) = 0.88371118814445197122513284394365
absolute error = 3.5e-31
relative error = 3.9605699768824108852000376958747e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.557
y[1] (analytic) = 0.884238627198426012928476632443
y[1] (numeric) = 0.88423862719842601292847663244243
absolute error = 5.7e-31
relative error = 6.4462237055392758041826769401181e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.558
y[1] (analytic) = 0.884766178044908661111953227712
memory used=309.0MB, alloc=4.4MB, time=24.99
y[1] (numeric) = 0.88476617804490866111195322771165
absolute error = 3.5e-31
relative error = 3.9558474169232406948345155141696e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.559
y[1] (analytic) = 0.885293840667202628924289733407
y[1] (numeric) = 0.8852938406672026289242897334072
absolute error = 2.0e-31
relative error = 2.2591369194353570880520397766898e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.56
y[1] (analytic) = 0.885821615048621509954987817427
y[1] (numeric) = 0.88582161504862150995498781742726
absolute error = 2.6e-31
relative error = 2.9351281971791686694636454598509e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.561
y[1] (analytic) = 0.886349501172489767444885205708
y[1] (numeric) = 0.88634950117248976744488520570844
absolute error = 4.4e-31
relative error = 4.9641817298701558673981234227757e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.562
y[1] (analytic) = 0.886877499022142723511570161105
y[1] (numeric) = 0.88687749902214272351157016110412
absolute error = 8.8e-31
relative error = 9.9224526608271633173711406399449e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.563
y[1] (analytic) = 0.887405608580926548389622751265
y[1] (numeric) = 0.88740560858092654838962275126462
absolute error = 3.8e-31
relative error = 4.2821455749831005704250303622647e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=312.8MB, alloc=4.4MB, time=25.40
x[1] = 0.564
y[1] (analytic) = 0.887933829832198249685656765804
y[1] (numeric) = 0.88793382983219824968565676580339
absolute error = 6.1e-31
relative error = 6.8698812851322244407524566827937e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.565
y[1] (analytic) = 0.888462162759325661648136199255
y[1] (numeric) = 0.88846216275932566164813619925548
absolute error = 4.8e-31
relative error = 5.4025936063416418573925070752496e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.566
y[1] (analytic) = 0.888990607345687434451940272414
y[1] (numeric) = 0.88899060734568743445194027241323
absolute error = 7.7e-31
relative error = 8.6615088352736951159388605161527e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.567
y[1] (analytic) = 0.889519163574673023497651020561
y[1] (numeric) = 0.8895191635746730234976510205611
absolute error = 1.0e-31
relative error = 1.1242028738103205264872690179192e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.568
y[1] (analytic) = 0.890047831429682678725537532926
y[1] (numeric) = 0.89004783142968267872553753292606
absolute error = 6e-32
relative error = 6.7412107396095867925902407637414e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.569
y[1] (analytic) = 0.890576610894127433944210983313
y[1] (numeric) = 0.89057661089412743394421098331343
absolute error = 4.3e-31
relative error = 4.8283325066024981788395365202167e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=316.6MB, alloc=4.4MB, time=25.79
x[1] = 0.57
y[1] (analytic) = 0.89110550195142909617392464741
y[1] (numeric) = 0.89110550195142909617392464741015
absolute error = 1.5e-31
relative error = 1.6833023662351481220465098759202e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.571
y[1] (analytic) = 0.891634504585020235004493157609
y[1] (numeric) = 0.89163450458502023500449315760907
absolute error = 7e-32
relative error = 7.8507504633391263635707291458838e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.572
y[1] (analytic) = 0.892163618778344171967805301439
y[1] (numeric) = 0.89216361877834417196780530143908
absolute error = 8e-32
relative error = 8.9669650629270728713259279160520e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.573
y[1] (analytic) = 0.892692844514854969924904724777
y[1] (numeric) = 0.89269284451485496992490472477733
absolute error = 3.3e-31
relative error = 3.6966802414479148725732859709825e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.574
y[1] (analytic) = 0.893222181778017422467612955972
y[1] (numeric) = 0.89322218177801742246761295597185
absolute error = 1.5e-31
relative error = 1.6793134234688971508618029130107e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.575
y[1] (analytic) = 0.893751630551307043334669221816
y[1] (numeric) = 0.89375163055130704333466922181577
absolute error = 2.3e-31
relative error = 2.5734218784935300122641248518083e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=320.4MB, alloc=4.4MB, time=26.19
x[1] = 0.576
y[1] (analytic) = 0.894281190818210055842361580988
y[1] (numeric) = 0.89428119081821005584236158098877
absolute error = 7.7e-31
relative error = 8.6102671945442493293796057250731e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.577
y[1] (analytic) = 0.894810862562223382329623955118
y[1] (numeric) = 0.89481086256222338232962395511747
absolute error = 5.3e-31
relative error = 5.9230394061420420614062392377146e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.578
y[1] (analytic) = 0.895340645766854633617573692004
y[1] (numeric) = 0.89534064576685463361757369200471
absolute error = 7.1e-31
relative error = 7.9299426799940336803595182273829e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.579
y[1] (analytic) = 0.89587054041562209848346434984
y[1] (numeric) = 0.89587054041562209848346434983875
absolute error = 1.25e-30
relative error = 1.3952908859131435151354873723927e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.58
y[1] (analytic) = 0.896400546492054733149028445317
y[1] (numeric) = 0.89640054649205473314902844531709
absolute error = 9e-32
relative error = 1.0040154521569975088027082201434e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=324.2MB, alloc=4.4MB, time=26.59
x[1] = 0.581
y[1] (analytic) = 0.896930663979692150783184962607
y[1] (numeric) = 0.89693066397969215078318496260702
absolute error = 2e-32
relative error = 2.2298267640064572323542076399760e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.582
y[1] (analytic) = 0.897460892862084611019086473916
y[1] (numeric) = 0.89746089286208461101908647391593
absolute error = 7e-32
relative error = 7.7997827600892578093921840840620e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.583
y[1] (analytic) = 0.897991233122793009485480776159
y[1] (numeric) = 0.89799123312279300948548077615978
absolute error = 7.8e-31
relative error = 8.6860536186698087013632164931779e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.584
y[1] (analytic) = 0.898521684745388867352362001798
y[1] (numeric) = 0.89852168474538886735236200179777
absolute error = 2.3e-31
relative error = 2.5597601471930456863521395394427e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.585
y[1] (analytic) = 0.899052247713454320890886215346
y[1] (numeric) = 0.89905224771345432089088621534611
absolute error = 1.1e-31
relative error = 1.2235106500179639060383403960313e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.586
y[1] (analytic) = 0.899582922010582111047526560393
y[1] (numeric) = 0.8995829220105821110475265603938
absolute error = 8.0e-31
relative error = 8.8930100875190838490674450121351e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=328.0MB, alloc=4.4MB, time=27.00
x[1] = 0.587
y[1] (analytic) = 0.900113707620375573032443075118
y[1] (numeric) = 0.9001137076203755730324430751194
absolute error = 1.40e-30
relative error = 1.5553590486930483316102357829203e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.588
y[1] (analytic) = 0.900644604526448625922042347349
y[1] (numeric) = 0.90064460452644862592204234734946
absolute error = 4.6e-31
relative error = 5.1074530140761142880041459968197e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.589
y[1] (analytic) = 0.901175612712425762275702233107
y[1] (numeric) = 0.9011756127124257622757022331081
absolute error = 1.10e-30
relative error = 1.2206277938315904109537980853087e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.59
y[1] (analytic) = 0.901706732161942037766636915383
y[1] (numeric) = 0.90170673216194203776663691538256
absolute error = 4.4e-31
relative error = 4.8796352994398869765238607421369e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.591
y[1] (analytic) = 0.902237962858643060826877632473
y[1] (numeric) = 0.90223796285864306082687763247219
absolute error = 8.1e-31
relative error = 8.9776758831295782925591166147533e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.592
y[1] (analytic) = 0.902769304786184982306344457799
y[1] (numeric) = 0.90276930478618498230634445779901
absolute error = 1e-32
relative error = 1.1077027040001581281666459604731e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=331.8MB, alloc=4.4MB, time=27.40
x[1] = 0.593
y[1] (analytic) = 0.903300757928234485145984565436
y[1] (numeric) = 0.90330075792823448514598456543618
absolute error = 1.8e-31
relative error = 1.9926917853234067051664108970253e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.594
y[1] (analytic) = 0.903832322268468774064952467858
y[1] (numeric) = 0.903832322268468774064952467858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.595
y[1] (analytic) = 0.90436399779057556526180776453
y[1] (numeric) = 0.90436399779057556526180776453048
absolute error = 4.8e-31
relative error = 5.3075973963213212569110845711994e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.596
y[1] (analytic) = 0.904895784478253076129705991946
y[1] (numeric) = 0.90489578447825307612970599194684
absolute error = 8.4e-31
relative error = 9.2828369234179730537510586767565e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.597
y[1] (analytic) = 0.905427682315210014985558217567
y[1] (numeric) = 0.90542768231521001498555821756668
absolute error = 3.2e-31
relative error = 3.5342414005031179455200618995628e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.598
y[1] (analytic) = 0.905959691285165570813135071842
y[1] (numeric) = 0.90595969128516557081313507184217
absolute error = 1.7e-31
relative error = 1.8764631764007448618283537112698e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=335.7MB, alloc=4.4MB, time=27.81
x[1] = 0.599
y[1] (analytic) = 0.906491811371849403020090964109
y[1] (numeric) = 0.9064918113718494030200909641095
absolute error = 5.0e-31
relative error = 5.5157696266811221719048432963770e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.6
y[1] (analytic) = 0.90702404255900163120888427959
y[1] (numeric) = 0.90702404255900163120888427958947
absolute error = 5.3e-31
relative error = 5.8432850192669910976971822872984e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.601
y[1] (analytic) = 0.907556384830372824961569406078
y[1] (numeric) = 0.90755638483037282496156940607769
absolute error = 3.1e-31
relative error = 3.4157657329240283972758092958206e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.602
y[1] (analytic) = 0.908088838169723993638436490113
y[1] (numeric) = 0.90808883816972399363843649011324
absolute error = 2.4e-31
relative error = 2.6429132251391402000577667066626e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.603
y[1] (analytic) = 0.908621402560826576190474873494
y[1] (numeric) = 0.90862140256082657619047487349432
absolute error = 3.2e-31
relative error = 3.5218188686522600553170122830099e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=339.5MB, alloc=4.4MB, time=28.23
x[1] = 0.604
y[1] (analytic) = 0.909154077987462430985636211962
y[1] (numeric) = 0.90915407798746243098563621196196
absolute error = 4e-32
relative error = 4.3996942837836134863875503743593e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.605
y[1] (analytic) = 0.909686864433423825648873328697
y[1] (numeric) = 0.9096868644334238256488733286974
absolute error = 4.0e-31
relative error = 4.3971174657900573203723808663637e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.606
y[1] (analytic) = 0.910219761882513426915930905977
y[1] (numeric) = 0.91021976188251342691593090597651
absolute error = 4.9e-31
relative error = 5.3833153324048212328696602592143e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.607
y[1] (analytic) = 0.910752770318544290500864168896
y[1] (numeric) = 0.91075277031854429050086416889572
absolute error = 2.8e-31
relative error = 3.0743798879916377743760005163143e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.608
y[1] (analytic) = 0.911285889725339850977261765528
y[1] (numeric) = 0.91128588972533985097726176552853
absolute error = 5.3e-31
relative error = 5.8159574945217375769477257371043e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.609
y[1] (analytic) = 0.911819120086733911673149098191
y[1] (numeric) = 0.9118191200867339116731490981905
absolute error = 5.0e-31
relative error = 5.4835437093317266743199787764109e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=343.3MB, alloc=4.4MB, time=28.66
x[1] = 0.61
y[1] (analytic) = 0.912352461386570634579548410683
y[1] (numeric) = 0.91235246138657063457954841068353
absolute error = 5.3e-31
relative error = 5.8091584385547571138022599780452e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.611
y[1] (analytic) = 0.912885913608704530272671986458
y[1] (numeric) = 0.91288591360870453027267198645843
absolute error = 4.3e-31
relative error = 4.7103366761370943908144531581849e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.612
y[1] (analytic) = 0.913419476737000447849724862578
y[1] (numeric) = 0.91341947673700044784972486257751
absolute error = 4.9e-31
relative error = 5.3644575409145232522665880046645e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.613
y[1] (analytic) = 0.913953150755333564878293514178
y[1] (numeric) = 0.91395315075533356487829351417756
absolute error = 4.4e-31
relative error = 4.8142511422643868807652165466052e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.614
y[1] (analytic) = 0.914486935647589377359297013827
y[1] (numeric) = 0.9144869356475893773592970138278
absolute error = 8.0e-31
relative error = 8.7480746724225642106010354927349e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.615
y[1] (analytic) = 0.915020831397663689703477219748
y[1] (numeric) = 0.91502083139766368970347721974803
absolute error = 3e-32
relative error = 3.2786138818474770949028721564358e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=347.1MB, alloc=4.4MB, time=29.08
x[1] = 0.616
y[1] (analytic) = 0.915554837989462604721404596299
y[1] (numeric) = 0.91555483798946260472140459629906
absolute error = 6e-32
relative error = 6.5534031944780742886317698604086e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.617
y[1] (analytic) = 0.916088955406902513626976319482
y[1] (numeric) = 0.9160889554069025136269763194817
absolute error = 3.0e-31
relative error = 3.2747911458745611130529076192323e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.618
y[1] (analytic) = 0.916623183633910086054383369381
y[1] (numeric) = 0.91662318363391008605438336938157
absolute error = 5.7e-31
relative error = 6.2184767980694252610984030479949e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.619
y[1] (analytic) = 0.917157522654422260088523360577
y[1] (numeric) = 0.91715752265442226008852336057605
absolute error = 9.5e-31
relative error = 1.0358089821370331026842844507924e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.62
y[1] (analytic) = 0.917691972452386232308835910475
y[1] (numeric) = 0.91769197245238623230883591047626
absolute error = 1.26e-30
relative error = 1.3730097220234474328935401132517e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.621
y[1] (analytic) = 0.918226533011759447846537394412
y[1] (numeric) = 0.91822653301175944784653739441219
absolute error = 1.9e-31
relative error = 2.0692061617605938621434308706820e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=350.9MB, alloc=4.4MB, time=29.48
TOP MAIN SOLVE Loop
x[1] = 0.622
y[1] (analytic) = 0.918761204316509590455231984983
y[1] (numeric) = 0.91876120431650959045523198498281
absolute error = 1.9e-31
relative error = 2.0680019912393444256623518166578e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.623
y[1] (analytic) = 0.919295986350614572594875921787
y[1] (numeric) = 0.91929598635061457259487592178574
absolute error = 1.26e-30
relative error = 1.3706140554381173364114252947096e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.624
y[1] (analytic) = 0.919830879098062525529072006113
y[1] (numeric) = 0.91983087909806252552907200611321
absolute error = 2.1e-31
relative error = 2.2830283780635292973161312001342e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.625
y[1] (analytic) = 0.920365882542851789435671363553
y[1] (numeric) = 0.92036588254285178943567136355274
absolute error = 2.6e-31
relative error = 2.8249634730228554078226185438889e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.626
y[1] (analytic) = 0.920900996668990903530659565663
y[1] (numeric) = 0.92090099666899090353065956566301
absolute error = 1e-32
relative error = 1.0858930586644163229316570434969e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=354.7MB, alloc=4.4MB, time=29.86
x[1] = 0.627
y[1] (analytic) = 0.921436221460498596205304250008
y[1] (numeric) = 0.9214362214604985962053042500074
absolute error = 6.0e-31
relative error = 6.5115738455450074878696888260215e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.628
y[1] (analytic) = 0.921971556901403775176541425822
y[1] (numeric) = 0.92197155690140377517654142582081
absolute error = 1.19e-30
relative error = 1.2907122688246437487869605464803e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.629
y[1] (analytic) = 0.922507002975745517650577700459
y[1] (numeric) = 0.9225070029757455176505777004593
absolute error = 3.0e-31
relative error = 3.2520078333528659040371969306052e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.63
y[1] (analytic) = 0.923042559667573060499685709537
y[1] (numeric) = 0.92304255966757306049968570953763
absolute error = 6.3e-31
relative error = 6.8252540839166704582164012520951e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.631
y[1] (analytic) = 0.923578226960945790452170081297
y[1] (numeric) = 0.92357822696094579045217008129678
absolute error = 2.2e-31
relative error = 2.3820396971019420507428966845559e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.632
y[1] (analytic) = 0.924114004839933234295481313263
y[1] (numeric) = 0.92411400483993323429548131326302
absolute error = 2e-32
relative error = 2.1642351371424374405260370466191e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=358.5MB, alloc=4.4MB, time=30.26
x[1] = 0.633
y[1] (analytic) = 0.924649893288615049092454986662
y[1] (numeric) = 0.9246498932886150490924549866616
absolute error = 4.0e-31
relative error = 4.3259616737461325366310091765005e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.634
y[1] (analytic) = 0.925185892291081012410653791334
y[1] (numeric) = 0.92518589229108101241065379133267
absolute error = 1.33e-30
relative error = 1.4375489413337885169207674058586e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.635
y[1] (analytic) = 0.925722001831431012564789881064
y[1] (numeric) = 0.92572200183143101256478988106455
absolute error = 5.5e-31
relative error = 5.9413085020329033491286637238603e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.636
y[1] (analytic) = 0.92625822189377503887220512631
y[1] (numeric) = 0.92625822189377503887220512631039
absolute error = 3.9e-31
relative error = 4.2104889412223312217036949862251e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.637
y[1] (analytic) = 0.926794552462233171921386878189
y[1] (numeric) = 0.92679455246223317192138687818902
absolute error = 2e-32
relative error = 2.1579755671702654858269325654508e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.638
y[1] (analytic) = 0.92733099352093557385349690449
y[1] (numeric) = 0.92733099352093557385349690448954
absolute error = 4.6e-31
relative error = 4.9604726167239331672184933320136e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=362.4MB, alloc=4.4MB, time=30.67
x[1] = 0.639
y[1] (analytic) = 0.927867545054022478656891205102
y[1] (numeric) = 0.92786754505402247865689120510249
absolute error = 4.9e-31
relative error = 5.2809261689551942230601457042226e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.64
y[1] (analytic) = 0.928404207045644182474608460889
y[1] (numeric) = 0.92840420704564418247460846088822
absolute error = 7.8e-31
relative error = 8.4015129841139548049143107681065e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.641
y[1] (analytic) = 0.928940979479961033924804916466
y[1] (numeric) = 0.92894097947996103392480491646634
absolute error = 3.4e-31
relative error = 3.6600818298525113732705689289280e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.642
y[1] (analytic) = 0.929477862341143424434113543768
y[1] (numeric) = 0.92947786234114342443411354376842
absolute error = 4.2e-31
relative error = 4.5186659846003807373515268724899e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.643
y[1] (analytic) = 0.930014855613371778583905379441
y[1] (numeric) = 0.93001485561337177858390537944027
absolute error = 7.3e-31
relative error = 7.8493369820264195829754040741273e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=366.2MB, alloc=4.4MB, time=31.08
x[1] = 0.644
y[1] (analytic) = 0.93055195928083654446943097531
y[1] (numeric) = 0.93055195928083654446943097531034
absolute error = 3.4e-31
relative error = 3.6537454637435186460033142807851e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.645
y[1] (analytic) = 0.931089173327738184071819947158
y[1] (numeric) = 0.93108917332773818407181994715747
absolute error = 5.3e-31
relative error = 5.6922582195405140081678309237513e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.646
y[1] (analytic) = 0.931626497738287163642916652914
y[1] (numeric) = 0.93162649773828716364291665291432
absolute error = 3.2e-31
relative error = 3.4348529241800774769897000397654e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.647
y[1] (analytic) = 0.932163932496703944102930077233
y[1] (numeric) = 0.93216393249670394410293007723323
absolute error = 2.3e-31
relative error = 2.4673771638425118030955126790924e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.648
y[1] (analytic) = 0.932701477587218971450876045018
y[1] (numeric) = 0.93270147758721897145087604501889
absolute error = 8.9e-31
relative error = 9.5421742260162136160032046729519e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.649
y[1] (analytic) = 0.933239132994072667187789932098
y[1] (numeric) = 0.93323913299407266718778993209738
absolute error = 6.2e-31
relative error = 6.6435276670287018488428566860508e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=370.0MB, alloc=4.4MB, time=31.47
x[1] = 0.65
y[1] (analytic) = 0.933776898701515418752688086644
y[1] (numeric) = 0.93377689870151541875268808664462
absolute error = 6.2e-31
relative error = 6.6397016338930104136144922207241e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.651
y[1] (analytic) = 0.934314774693807569971256220338
y[1] (numeric) = 0.93431477469380756997125622033858
absolute error = 5.8e-31
relative error = 6.2077579816724706097456541535713e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.652
y[1] (analytic) = 0.93485276095521941151724307343
y[1] (numeric) = 0.93485276095521941151724307343003
absolute error = 3e-32
relative error = 3.2090614964164433400939432972614e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.653
y[1] (analytic) = 0.935390857470031171386537703045
y[1] (numeric) = 0.9353908574700311713865377030455
absolute error = 5.0e-31
relative error = 5.3453590657531032686183504769284e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.654
y[1] (analytic) = 0.935929064222533005383908789045
y[1] (numeric) = 0.93592906422253300538390878904463
absolute error = 3.7e-31
relative error = 3.9532910574516171450232480567563e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.655
y[1] (analytic) = 0.936467381197024987622384396651
y[1] (numeric) = 0.93646738119702498762238439665186
absolute error = 8.6e-31
relative error = 9.1834485350757040047355427308498e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=373.8MB, alloc=4.4MB, time=31.88
x[1] = 0.656
y[1] (analytic) = 0.93700580837781710103525067987
y[1] (numeric) = 0.93700580837781710103525067987031
absolute error = 3.1e-31
relative error = 3.3084106547502060706417110472900e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.657
y[1] (analytic) = 0.937544345749229227900648054363
y[1] (numeric) = 0.93754434574922922790064805436346
absolute error = 4.6e-31
relative error = 4.9064345818479186779128243767369e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.658
y[1] (analytic) = 0.938082993295591140378743413058
y[1] (numeric) = 0.93808299329559114037874341305895
absolute error = 9.5e-31
relative error = 1.0127035739796785716823219991344e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.659
y[1] (analytic) = 0.938621751001242491061457002187
y[1] (numeric) = 0.93862175100124249106145700218769
absolute error = 6.9e-31
relative error = 7.3512040314851665894326084093049e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.66
y[1] (analytic) = 0.939160618850532803534722619821
y[1] (numeric) = 0.93916061885053280353472261982219
absolute error = 1.19e-30
relative error = 1.2670889048312919371647884918386e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.661
y[1] (analytic) = 0.93969959682782146295325984322
y[1] (numeric) = 0.9396995968278214629532598432195
absolute error = 5.0e-31
relative error = 5.3208493617307958246883121163141e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=377.6MB, alloc=4.4MB, time=32.25
x[1] = 0.662
y[1] (analytic) = 0.940238684917477706627837035409
y[1] (numeric) = 0.9402386849174777066278370354077
absolute error = 1.30e-30
relative error = 1.3826276464194808196626068421393e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.663
y[1] (analytic) = 0.94077788310388061462500392548
y[1] (numeric) = 0.9407778831038806146250039254805
absolute error = 5.0e-31
relative error = 5.3147507927202200405826257116326e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.664
y[1] (analytic) = 0.941317191371419100379272600982
y[1] (numeric) = 0.9413171913714191003792726009821
absolute error = 1.0e-31
relative error = 1.0623411631769786735754372770751e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.665
y[1] (analytic) = 0.941856609704491901317725794575
y[1] (numeric) = 0.9418566097044919013177257945752
absolute error = 2.0e-31
relative error = 2.1234654823174211701896528463746e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.666
y[1] (analytic) = 0.942396138087507569497031390888
y[1] (numeric) = 0.94239613808750756949703139088823
absolute error = 2.3e-31
relative error = 2.4405872509915041072890009657211e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=381.4MB, alloc=4.4MB, time=32.64
x[1] = 0.667
y[1] (analytic) = 0.942935776504884462252842123035
y[1] (numeric) = 0.94293577650488446225284212303466
absolute error = 3.4e-31
relative error = 3.6057598881257294217573232975629e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.668
y[1] (analytic) = 0.943475524941050732861559471787
y[1] (numeric) = 0.94347552494105073286155947178735
absolute error = 3.5e-31
relative error = 3.7096881768275688967513203509556e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.669
y[1] (analytic) = 0.944015383380444321214440823775
y[1] (numeric) = 0.94401538338044432121444082377491
absolute error = 9e-32
relative error = 9.5337429436496180880245847583787e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.67
y[1] (analytic) = 0.944555351807512944504028988345
y[1] (numeric) = 0.94455535180751294450402898834535
absolute error = 3.5e-31
relative error = 3.7054472173624935684720419216693e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.671
y[1] (analytic) = 0.945095430206714087922883215915
y[1] (numeric) = 0.94509543020671408792288321591461
absolute error = 3.9e-31
relative error = 4.1265674082742949904500999068869e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.672
y[1] (analytic) = 0.945635618562514995374590903685
y[1] (numeric) = 0.9456356185625149953745909036852
absolute error = 2.0e-31
relative error = 2.1149795552754785144385920084305e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=385.2MB, alloc=4.4MB, time=33.02
x[1] = 0.673
y[1] (analytic) = 0.946175916859392660197039217582
y[1] (numeric) = 0.94617591685939266019703921758233
absolute error = 3.3e-31
relative error = 3.4877235207524305717677823198702e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.674
y[1] (analytic) = 0.946716325081833815897925902112
y[1] (numeric) = 0.94671632508183381589792590211263
absolute error = 6.3e-31
relative error = 6.6545805043083315206722616649403e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.675
y[1] (analytic) = 0.947256843214334926902488592604
y[1] (numeric) = 0.94725684321433492690248859260389
absolute error = 1.1e-31
relative error = 1.1612478789462849209001471415808e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.676
y[1] (analytic) = 0.947797471241402179313431986934
y[1] (numeric) = 0.94779747124140217931343198693345
absolute error = 5.5e-31
relative error = 5.8029274891356622513343140298020e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.677
y[1] (analytic) = 0.948338209147551471683032276398
y[1] (numeric) = 0.94833820914755147168303227639827
absolute error = 2.7e-31
relative error = 2.8470855375815700566403754800298e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.678
y[1] (analytic) = 0.948879056917308405797398277821
y[1] (numeric) = 0.94887905691730840579739827782154
absolute error = 5.4e-31
relative error = 5.6909254774189749033695632963296e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=389.1MB, alloc=4.4MB, time=33.39
x[1] = 0.679
y[1] (analytic) = 0.94942001453520827747286875133
y[1] (numeric) = 0.94942001453520827747286875132958
absolute error = 4.2e-31
relative error = 4.4237533817486710076763936905193e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.68
y[1] (analytic) = 0.949961081985796067364525430468
y[1] (numeric) = 0.94996108198579606736452543046823
absolute error = 2.3e-31
relative error = 2.4211518172850683974788073949686e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.681
y[1] (analytic) = 0.950502259253626431786801333461
y[1] (numeric) = 0.9505022592536264317868013334614
absolute error = 4.0e-31
relative error = 4.2083014122880306893810654998557e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.682
y[1] (analytic) = 0.951043546323263693546163966445
y[1] (numeric) = 0.9510435463232636935461639664449
absolute error = 1.0e-31
relative error = 1.0514765636820753971521131783882e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.683
y[1] (analytic) = 0.951584943179281832785853071438
y[1] (numeric) = 0.95158494317928183278585307143764
absolute error = 3.6e-31
relative error = 3.7831620033543844990334471083548e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.684
y[1] (analytic) = 0.952126449806264477842652613639
y[1] (numeric) = 0.95212644980626447784265261363901
absolute error = 1e-32
relative error = 1.0502806640898135671676861868063e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=392.9MB, alloc=4.4MB, time=33.77
TOP MAIN SOLVE Loop
x[1] = 0.685
y[1] (analytic) = 0.952668066188804896115676744368
y[1] (numeric) = 0.95266806618880489611567674436684
absolute error = 1.16e-30
relative error = 1.2176329208143153429461391689482e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.686
y[1] (analytic) = 0.953209792311505984947149517574
y[1] (numeric) = 0.95320979231150598494714951757451
absolute error = 5.1e-31
relative error = 5.3503436925806736973143560544249e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.687
y[1] (analytic) = 0.953751628158980262515158179408
y[1] (numeric) = 0.95375162815898026251515817940899
absolute error = 9.9e-31
relative error = 1.0380060917022911955111613097258e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.688
y[1] (analytic) = 0.954293573715849858738359891695
y[1] (numeric) = 0.95429357371584985873835989169446
absolute error = 5.4e-31
relative error = 5.6586360306015245445251522337579e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.689
y[1] (analytic) = 0.954835628966746506192621791548
y[1] (numeric) = 0.95483562896674650619262179154821
absolute error = 2.1e-31
relative error = 2.1993314202911205503047091439113e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=396.7MB, alloc=4.4MB, time=34.15
x[1] = 0.69
y[1] (analytic) = 0.955377793896311531039574330557
y[1] (numeric) = 0.95537779389631153103957433055791
absolute error = 9.1e-31
relative error = 9.5250277514694208439550879396147e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.691
y[1] (analytic) = 0.955920068489195843967057878072
y[1] (numeric) = 0.95592006848919584396705787807165
absolute error = 3.5e-31
relative error = 3.6613939966043910626795167014414e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.692
y[1] (analytic) = 0.956462452730059931141442614174
y[1] (numeric) = 0.95646245273005993114144261417508
absolute error = 1.08e-30
relative error = 1.1291608958797316950048274613398e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.693
y[1] (analytic) = 0.957004946603573845171801778855
y[1] (numeric) = 0.95700494660357384517180177885357
absolute error = 1.43e-30
relative error = 1.4942451500121219950078165594418e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.694
y[1] (analytic) = 0.957547550094417196085918384662
y[1] (numeric) = 0.95754755009441719608591838466205
absolute error = 5e-32
relative error = 5.2216728030968115317651862261615e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.695
y[1] (analytic) = 0.958090263187279142318105540952
y[1] (numeric) = 0.95809026318727914231810554095105
absolute error = 9.5e-31
relative error = 9.9155584447715264160430571705517e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=400.5MB, alloc=4.4MB, time=34.53
x[1] = 0.696
y[1] (analytic) = 0.958633085866858381708820578326
y[1] (numeric) = 0.95863308586685838170882057832514
absolute error = 8.6e-31
relative error = 8.9711070135069672586302401282398e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.697
y[1] (analytic) = 0.959176018117863142516053202539
y[1] (numeric) = 0.95917601811786314251605320253923
absolute error = 2.3e-31
relative error = 2.3978914782639790468148914325974e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.698
y[1] (analytic) = 0.959719059925011174438467947471
y[1] (numeric) = 0.95971905992501117443846794746989
absolute error = 1.11e-30
relative error = 1.1565884708872315311627151575103e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.699
y[1] (analytic) = 0.960262211273029739650281237132
y[1] (numeric) = 0.96026221127302973965028123713262
absolute error = 6.2e-31
relative error = 6.4565698068870112255117917172280e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.7
y[1] (analytic) = 0.960805472146655603847853406952
y[1] (numeric) = 0.96080547214665560384785340695277
absolute error = 7.7e-31
relative error = 8.0141092273303434849330402064389e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.701
y[1] (analytic) = 0.961348842530635027307976074636
y[1] (numeric) = 0.96134884253063502730797607463717
absolute error = 1.17e-30
relative error = 1.2170400048749379403509886071327e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=404.3MB, alloc=4.4MB, time=34.90
x[1] = 0.702
y[1] (analytic) = 0.961892322409723755957835291036
y[1] (numeric) = 0.96189232240972375595783529103655
absolute error = 5.5e-31
relative error = 5.7178957268537613783117610066126e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.703
y[1] (analytic) = 0.962435911768687012456630941334
y[1] (numeric) = 0.96243591176868701245663094133473
absolute error = 7.3e-31
relative error = 7.5849206276858989969498887280578e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.704
y[1] (analytic) = 0.962979610592299487288832906751
y[1] (numeric) = 0.96297961059229948728883290675098
absolute error = 2e-32
relative error = 2.0768871718580425528965532305025e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.705
y[1] (analytic) = 0.963523418865345329869054536694
y[1] (numeric) = 0.96352341886534532986905453669554
absolute error = 1.54e-30
relative error = 1.5983005392993137324973118546449e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.706
y[1] (analytic) = 0.964067336572618139658524020976
y[1] (numeric) = 0.9640673365726181396585240209769
absolute error = 9.0e-31
relative error = 9.3354474926991545991459434593490e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=408.1MB, alloc=4.4MB, time=35.29
x[1] = 0.707
y[1] (analytic) = 0.964611363698920957293134291221
y[1] (numeric) = 0.96461136369892095729313429122214
absolute error = 1.14e-30
relative error = 1.1818231081464038920959383478387e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.708
y[1] (analytic) = 0.965155500229066255723052120139
y[1] (numeric) = 0.96515550022906625572305212013935
absolute error = 3.5e-31
relative error = 3.6263586532629442627516162057115e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.709
y[1] (analytic) = 0.965699746147875931363867126624
y[1] (numeric) = 0.9656997461478759313638671266238
absolute error = 2.0e-31
relative error = 2.0710370982056191409764783370264e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.71
y[1] (analytic) = 0.966244101440181295259261433989
y[1] (numeric) = 0.96624410144018129525926143398775
absolute error = 1.25e-30
relative error = 1.2936689581202950313048372216131e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.711
y[1] (analytic) = 0.966788566090823064255180767777
y[1] (numeric) = 0.96678856609082306425518076777743
absolute error = 4.3e-31
relative error = 4.4477149925209654325240928723761e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.712
y[1] (analytic) = 0.967333140084651352185487818731
y[1] (numeric) = 0.96733314008465135218548781873011
absolute error = 8.9e-31
relative error = 9.2005531819380867405146984174303e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=412.0MB, alloc=4.4MB, time=35.69
x[1] = 0.713
y[1] (analytic) = 0.967877823406525661069078735419
y[1] (numeric) = 0.96787782340652566106907873542021
absolute error = 1.21e-30
relative error = 1.2501577892768587366151140451706e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.714
y[1] (analytic) = 0.968422616041314872318443650045
y[1] (numeric) = 0.96842261604131487231844365004505
absolute error = 5e-32
relative error = 5.1630351431060443783429117456724e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.715
y[1] (analytic) = 0.96896751797389723795965217961
y[1] (numeric) = 0.96896751797389723795965217960991
absolute error = 9e-32
relative error = 9.2882370492861543388411693660162e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.716
y[1] (analytic) = 0.969512529189160371863744883487
y[1] (numeric) = 0.96951252918916037186374488348747
absolute error = 4.7e-31
relative error = 4.8477970717209667985562344342062e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.717
y[1] (analytic) = 0.970057649672001240989511696949
y[1] (numeric) = 0.97005764967200124098951169694954
absolute error = 5.4e-31
relative error = 5.5666794667573251516603878389488e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.718
y[1] (analytic) = 0.970602879407326156637638398799
y[1] (numeric) = 0.9706028794073261566376383987992
absolute error = 2.0e-31
relative error = 2.0605749709100892916633104095229e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=415.8MB, alloc=4.4MB, time=36.07
x[1] = 0.719
y[1] (analytic) = 0.971148218380050765716202209669
y[1] (numeric) = 0.9711482183800507657162022096693
absolute error = 3.0e-31
relative error = 3.0891268121813873210814180591223e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.72
y[1] (analytic) = 0.971693666575100042017497655899
y[1] (numeric) = 0.97169366657510004201749765589915
absolute error = 1.5e-31
relative error = 1.5436963845684058872649382425955e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.721
y[1] (analytic) = 0.972239223977408277506173872155
y[1] (numeric) = 0.97223922397740827750617387215505
absolute error = 5e-32
relative error = 5.1427672086146814105777856423789e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.722
y[1] (analytic) = 0.972784890571919073618664554123
y[1] (numeric) = 0.97278489057191907361866455412292
absolute error = 8e-32
relative error = 8.2238119419151803360820697670620e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.723
y[1] (analytic) = 0.973330666343585332573891810672
y[1] (numeric) = 0.97333066634358533257389181067223
absolute error = 2.3e-31
relative error = 2.3630201734423735169040554881019e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.724
y[1] (analytic) = 0.973876551277369248695225202871
y[1] (numeric) = 0.9738765512773692486952252028706
absolute error = 4.0e-31
relative error = 4.1072967561991973503885022406081e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=419.6MB, alloc=4.4MB, time=36.46
x[1] = 0.725
y[1] (analytic) = 0.974422545358242299743677295117
y[1] (numeric) = 0.97442254535824229974367729511761
absolute error = 6.1e-31
relative error = 6.2601178811573586627017866452725e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.726
y[1] (analytic) = 0.974968648571185238262317081465
y[1] (numeric) = 0.97496864857118523826231708146499
absolute error = 1e-32
relative error = 1.0256740065083099453810186755339e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.727
y[1] (analytic) = 0.975514860901188082931882687898
y[1] (numeric) = 0.97551486090118808293188268789893
absolute error = 9.3e-31
relative error = 9.5334272933664884753478456256460e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.728
y[1] (analytic) = 0.976061182333250109937574788978
y[1] (numeric) = 0.97606118233325010993757478897829
absolute error = 2.9e-31
relative error = 2.9711252250270026537347222684835e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.729
y[1] (analytic) = 0.976607612852379844347012214751
y[1] (numeric) = 0.97660761285237984434701221475123
absolute error = 2.3e-31
relative error = 2.3550912052409517007263508733046e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=423.4MB, alloc=4.4MB, time=36.85
x[1] = 0.73
y[1] (analytic) = 0.977154152443595051499331261312
y[1] (numeric) = 0.97715415244359505149933126131156
absolute error = 4.4e-31
relative error = 4.5028719255777652329705685054381e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.731
y[1] (analytic) = 0.977700801091922728405410255706
y[1] (numeric) = 0.97770080109192272840541025570583
absolute error = 1.7e-31
relative error = 1.7387732505705160189688891367085e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.732
y[1] (analytic) = 0.978247558782399095159200963163
y[1] (numeric) = 0.97824755878239909515920096316267
absolute error = 3.3e-31
relative error = 3.3733792334809704069771363853229e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.733
y[1] (analytic) = 0.978794425500069586360148461787
y[1] (numeric) = 0.97879442550006958636014846178762
absolute error = 6.2e-31
relative error = 6.3343229573793268579678799290414e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.734
y[1] (analytic) = 0.97934140122998884254668114695
y[1] (numeric) = 0.97934140122998884254668114694981
absolute error = 1.9e-31
relative error = 1.9400793202592314410741708580990e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.735
y[1] (analytic) = 0.979888485957220701640752564582
y[1] (numeric) = 0.97988848595722070164075256458174
absolute error = 2.6e-31
relative error = 2.6533631502569865014826557611897e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=427.2MB, alloc=4.4MB, time=37.23
x[1] = 0.736
y[1] (analytic) = 0.98043567966683819040341680952
y[1] (numeric) = 0.98043567966683819040341680951998
absolute error = 2e-32
relative error = 2.0399094417694181846105959814961e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.737
y[1] (analytic) = 0.980982982343923515901419261833
y[1] (numeric) = 0.98098298234392351590141926183352
absolute error = 5.2e-31
relative error = 5.3008055120133861111147525797281e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.738
y[1] (analytic) = 0.981530393973568056984784470818
y[1] (numeric) = 0.98153039397356805698478447081772
absolute error = 2.8e-31
relative error = 2.8526880239180877441971406641929e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.739
y[1] (analytic) = 0.982077914540872355775383032975
y[1] (numeric) = 0.98207791454087235577538303297576
absolute error = 7.6e-31
relative error = 7.7386935267280174285386791733989e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.74
y[1] (analytic) = 0.982625544030946109166459346866
y[1] (numeric) = 0.98262554403094610916645934686596
absolute error = 4e-32
relative error = 4.0707266611359605041548461935120e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.741
y[1] (analytic) = 0.983173282428908160333102164164
y[1] (numeric) = 0.98317328242890816033310216416348
absolute error = 5.2e-31
relative error = 5.2889964494900770328713041227579e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=431.0MB, alloc=4.4MB, time=37.62
x[1] = 0.742
y[1] (analytic) = 0.983721129719886490253639892667
y[1] (numeric) = 0.98372112971988649025363989266784
absolute error = 8.4e-31
relative error = 8.5390053605861762482389466242642e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.743
y[1] (analytic) = 0.984269085889018209241942643284
y[1] (numeric) = 0.9842690858890182092419426432846
absolute error = 6.0e-31
relative error = 6.0958939847030136540259178216059e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.744
y[1] (analytic) = 0.984817150921449548490613049219
y[1] (numeric) = 0.98481715092144954849061304921998
absolute error = 9.8e-31
relative error = 9.9510858343912638512731368506783e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.745
y[1] (analytic) = 0.985365324802335851625047921752
y[1] (numeric) = 0.98536532480233585162504792175196
absolute error = 4e-32
relative error = 4.0594081193210238535762926600863e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.746
y[1] (analytic) = 0.98591360751684156626835284298
y[1] (numeric) = 0.98591360751684156626835284298018
absolute error = 1.8e-31
relative error = 1.8257177771727347348418005667695e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.747
y[1] (analytic) = 0.986461999050140235617091831911
y[1] (numeric) = 0.98646199905014023561709183191042
absolute error = 5.8e-31
relative error = 5.8795980033542027712494149326291e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=434.8MB, alloc=4.4MB, time=38.01
TOP MAIN SOLVE Loop
x[1] = 0.748
y[1] (analytic) = 0.987010499387414490027854256098
y[1] (numeric) = 0.98701049938741449002785425609776
absolute error = 2.4e-31
relative error = 2.4315850758320745156401578788626e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.749
y[1] (analytic) = 0.987559108513856038614621196855
y[1] (numeric) = 0.98755910851385603861462119685542
absolute error = 4.2e-31
relative error = 4.2529099917071662702713021354986e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.75
y[1] (analytic) = 0.988107826414665660856913511735
y[1] (numeric) = 0.98810782641466566085691351173497
absolute error = 3e-32
relative error = 3.0361058983668358692082081685832e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.751
y[1] (analytic) = 0.988656653075053198218703873597
y[1] (numeric) = 0.98865665307505319821870387359726
absolute error = 2.6e-31
relative error = 2.6298310863666668373628121508845e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.752
y[1] (analytic) = 0.989205588480237545778075101124
y[1] (numeric) = 0.98920558848023754577807510112299
absolute error = 1.01e-30
relative error = 1.0210213243454375077885903421715e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=438.7MB, alloc=4.4MB, time=38.40
x[1] = 0.753
y[1] (analytic) = 0.989754632615446643867607131058
y[1] (numeric) = 0.98975463261544664386760713105732
absolute error = 6.8e-31
relative error = 6.8703896662053123262081898622746e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.754
y[1] (analytic) = 0.990303785465917469725475017845
y[1] (numeric) = 0.99030378546591746972547501784454
absolute error = 4.6e-31
relative error = 4.6450392975482720625074771455443e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.755
y[1] (analytic) = 0.990853047016896029157240381586
y[1] (numeric) = 0.99085304701689602915724038158664
absolute error = 6.4e-31
relative error = 6.4590809093922755839554211841363e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.756
y[1] (analytic) = 0.991402417253637348208318760454
y[1] (numeric) = 0.99140241725363734820831876045434
absolute error = 3.4e-31
relative error = 3.4294852835023443835047772488240e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.757
y[1] (analytic) = 0.991951896161405464847105358791
y[1] (numeric) = 0.99195189616140546484710535879043
absolute error = 5.7e-31
relative error = 5.7462463876096310527964024791551e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.758
y[1] (analytic) = 0.992501483725473420658741717174
y[1] (numeric) = 0.99250148372547342065874171717379
absolute error = 2.1e-31
relative error = 2.1158658545450209275386967027777e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=442.5MB, alloc=4.4MB, time=38.80
x[1] = 0.759
y[1] (analytic) = 0.993051179931123252549505865658
y[1] (numeric) = 0.99305117993112325254950586565808
absolute error = 8e-32
relative error = 8.0559795523880951121735534391924e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.76
y[1] (analytic) = 0.993600984763645984461808556263
y[1] (numeric) = 0.99360098476364598446180855626237
absolute error = 6.3e-31
relative error = 6.3405734259599390292878777540314e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.761
y[1] (analytic) = 0.994150898208341619099778205572
y[1] (numeric) = 0.99415089820834161909977820557204
absolute error = 4e-32
relative error = 4.0235340602807868704233632953268e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.762
y[1] (analytic) = 0.994700920250519129665417213007
y[1] (numeric) = 0.99470092025051912966541721300695
absolute error = 5e-32
relative error = 5.0266365479391849631202695133130e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.763
y[1] (analytic) = 0.99525105087549645160531235493
y[1] (numeric) = 0.99525105087549645160531235493119
absolute error = 1.19e-30
relative error = 1.1956782150123709645871717526355e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.764
y[1] (analytic) = 0.995801290068600474367881989314
y[1] (numeric) = 0.99580129006860047436788198931411
absolute error = 1.1e-31
relative error = 1.1046380547711695627928774438491e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=446.3MB, alloc=4.4MB, time=39.21
x[1] = 0.765
y[1] (analytic) = 0.996351637815167033171142840106
y[1] (numeric) = 0.99635163781516703317114284010642
absolute error = 4.2e-31
relative error = 4.2153792301781121269382250258359e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.766
y[1] (analytic) = 0.996902094100540900780979164867
y[1] (numeric) = 0.99690209410054090078097916486815
absolute error = 1.15e-30
relative error = 1.1535736626549995639185135051699e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.767
y[1] (analytic) = 0.997452658910075779299897143476
y[1] (numeric) = 0.99745265891007577929989714347721
absolute error = 1.21e-30
relative error = 1.2130901543960756404911589446633e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.768
y[1] (analytic) = 0.998003332229134291966247359958
y[1] (numeric) = 0.99800333222913429196624735995865
absolute error = 6.5e-31
relative error = 6.5130043057888782377531631061163e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.769
y[1] (analytic) = 0.998554114043087974963898283605
y[1] (numeric) = 0.99855411404308797496389828360545
absolute error = 4.5e-31
relative error = 4.5065159080660733779509917388265e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=450.1MB, alloc=4.4MB, time=39.62
x[1] = 0.77
y[1] (analytic) = 0.999105004337317269242343689612
y[1] (numeric) = 0.99910500433731726924234368961221
absolute error = 2.1e-31
relative error = 2.1018811745346830251028056478725e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.771
y[1] (analytic) = 0.999656003097211512347226993414
y[1] (numeric) = 0.99965600309721151234722699341353
absolute error = 4.7e-31
relative error = 4.7016173418036771072391742416895e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.772
y[1] (analytic) = 1.000207110308168930261265506809
y[1] (numeric) = 1.0002071103081689302612655068096
absolute error = 6e-31
relative error = 5.9987575954657723727925425693577e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.773
y[1] (analytic) = 1.000758325955596629255557657773
y[1] (numeric) = 1.0007583259555966292555576577721
absolute error = 9e-31
relative error = 8.9931802380021642870444650410896e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.774
y[1] (analytic) = 1.001309650024910587751256249555
y[1] (numeric) = 1.0013096500249105877512562495558
absolute error = 8e-31
relative error = 7.9895365033194036927959267908344e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.775
y[1] (analytic) = 1.001861082501535648191590868393
y[1] (numeric) = 1.0018610825015356481915908683928
absolute error = 2e-31
relative error = 1.9962847493848374022799780173301e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=453.9MB, alloc=4.4MB, time=40.02
x[1] = 0.776
y[1] (analytic) = 1.00241262337090550892422258262
y[1] (numeric) = 1.0024126233709055089242225826203
absolute error = 3e-31
relative error = 2.9927795501134282682184190586921e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.777
y[1] (analytic) = 1.002964272618462716093914109586
y[1] (numeric) = 1.0029642726184627160939141095868
absolute error = 8e-31
relative error = 7.9763559065909790069551036405722e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.778
y[1] (analytic) = 1.003516030229658655545498660098
y[1] (numeric) = 1.0035160302296586555454986600988
absolute error = 8e-31
relative error = 7.9719703113951931751766333405921e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.779
y[1] (analytic) = 1.004067896189953544737130703506
y[1] (numeric) = 1.0040678961899535447371307035062
absolute error = 2e-31
relative error = 1.9918971690950589580234300375120e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.78
y[1] (analytic) = 1.004619870484816424663801929786
y[1] (numeric) = 1.0046198704848164246638019297853
absolute error = 7e-31
relative error = 6.9678096219835781780146199652176e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.781
y[1] (analytic) = 1.005171953099725151791105718161
y[1] (numeric) = 1.0051719530997251517911057181603
absolute error = 7e-31
relative error = 6.9639826085612197511151726343177e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=457.7MB, alloc=4.4MB, time=40.43
x[1] = 0.782
y[1] (analytic) = 1.005724144020166389999233454906
y[1] (numeric) = 1.0057241440201663899992334549061
absolute error = 1e-31
relative error = 9.9430843531578614295839582204315e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.783
y[1] (analytic) = 1.006276443231635602537186076005
y[1] (numeric) = 1.0062764432316356025371860760042
absolute error = 8e-31
relative error = 7.9501016383809686547156446922399e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.784
y[1] (analytic) = 1.00682885071963704398718424327
y[1] (numeric) = 1.0068288507196370439871842432709
absolute error = 9e-31
relative error = 8.9389571957211945876831296397706e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.785
y[1] (analytic) = 1.00738136646968375223926059545
y[1] (numeric) = 1.0073813664696837522392605954498
absolute error = 2e-31
relative error = 1.9853454377550155174342652307329e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.786
y[1] (analytic) = 1.007933990467297540476017548555
y[1] (numeric) = 1.007933990467297540476017548555
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.787
y[1] (analytic) = 1.008486722698008989167534152472
y[1] (numeric) = 1.0084867226980089891675341524715
absolute error = 5e-31
relative error = 4.9579234782818735461293306755956e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=461.5MB, alloc=4.4MB, time=40.82
x[1] = 0.788
y[1] (analytic) = 1.00903956314735743807640554346
y[1] (numeric) = 1.0090395631473574380764055434594
absolute error = 6e-31
relative error = 5.9462485110940848740928255624411e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.789
y[1] (analytic) = 1.009592511800890978272898564775
y[1] (numeric) = 1.0095925118008909782728985647752
absolute error = 2e-31
relative error = 1.9809972604020605360459748446807e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.79
y[1] (analytic) = 1.010145568644166444160207160114
y[1] (numeric) = 1.0101455686441664441602071601143
absolute error = 3e-31
relative error = 2.9698689902947829920094693237716e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.791
y[1] (analytic) = 1.01069873366274940550979117699
y[1] (numeric) = 1.0106987336627494055097911769901
absolute error = 1e-31
relative error = 9.8941451759420194767542647772660e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.792
y[1] (analytic) = 1.011252006842214159506782249505
y[1] (numeric) = 1.0112520068422141595067822495059
absolute error = 9e-31
relative error = 8.8998587286900402559866152169846e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=465.4MB, alloc=4.4MB, time=41.23
x[1] = 0.793
y[1] (analytic) = 1.011805388168143722805440462238
y[1] (numeric) = 1.0118053881681437228054404622373
absolute error = 7e-31
relative error = 6.9183264705413160259428858647998e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.794
y[1] (analytic) = 1.01235887762612982359464552913
y[1] (numeric) = 1.0123588776261298235946455291306
absolute error = 6e-31
relative error = 5.9267519973444000505499965590017e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.795
y[1] (analytic) = 1.012912475201772893673406253435
y[1] (numeric) = 1.0129124752017728936734062534351
absolute error = 1e-31
relative error = 9.8725213133622357714081115862123e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.796
y[1] (analytic) = 1.013466180880682060536372066725
y[1] (numeric) = 1.0134661808806820605363720667257
absolute error = 7e-31
relative error = 6.9069892336388950735547588775027e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.797
y[1] (analytic) = 1.014019994648475139469330477032
y[1] (numeric) = 1.0140199946484751394693304770335
absolute error = 1.5e-30
relative error = 1.4792607718943421194851775644824e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.798
y[1] (analytic) = 1.014573916490778625654674287993
y[1] (numeric) = 1.0145739164907786256546742879933
absolute error = 3e-31
relative error = 2.9569062945915648718005247165705e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=469.2MB, alloc=4.4MB, time=41.63
x[1] = 0.799
y[1] (analytic) = 1.01512794639322768628682248273
y[1] (numeric) = 1.0151279463932276862868224827287
absolute error = 1.3e-30
relative error = 1.2806267472183472990451095430334e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.8
y[1] (analytic) = 1.015682084341466152697578697938
y[1] (numeric) = 1.015682084341466152697578697938
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.801
y[1] (analytic) = 1.016236330321146512491411245309
y[1] (numeric) = 1.0162363303211465124914112453089
absolute error = 1e-31
relative error = 9.8402307628972920190570589033272e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.802
y[1] (analytic) = 1.016790684317929901690638668985
y[1] (numeric) = 1.0167906843179299016906386689845
absolute error = 5e-31
relative error = 4.9174329359184028776105048296818e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.803
y[1] (analytic) = 1.017345146317486096890504859321
y[1] (numeric) = 1.0173451463174860968905048593211
absolute error = 1e-31
relative error = 9.8295057839488316330861456881811e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.804
y[1] (analytic) = 1.017899716305493507424127774626
y[1] (numeric) = 1.017899716305493507424127774626
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=473.0MB, alloc=4.4MB, time=42.02
x[1] = 0.805
y[1] (analytic) = 1.018454394267639167537305853935
y[1] (numeric) = 1.0184543942676391675373058539352
absolute error = 2e-31
relative error = 1.9637599987363016951107144210676e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.806
y[1] (analytic) = 1.019009180189618728573166235193
y[1] (numeric) = 1.0190091801896187285731662351926
absolute error = 4e-31
relative error = 3.9253817117287148587391942337597e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.807
y[1] (analytic) = 1.019564074057136451166638924419
y[1] (numeric) = 1.0195640740571364511666389244189
absolute error = 1e-31
relative error = 9.8081133441737956048005613953101e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.808
y[1] (analytic) = 1.020119075855905197448741092614
y[1] (numeric) = 1.0201190758559051974487410926141
absolute error = 1e-31
relative error = 9.8027771822713461761922544191098e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.809
y[1] (analytic) = 1.020674185571646423260655708221
y[1] (numeric) = 1.0206741855716464232606557082211
absolute error = 1e-31
relative error = 9.7974457876578167384484514448042e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.81
y[1] (analytic) = 1.021229403190090170377588743987
y[1] (numeric) = 1.0212294031900901703775887439869
absolute error = 1e-31
relative error = 9.7921191543861319880006333427934e-30 %
Correct digits = 31
h = 0.001
memory used=476.8MB, alloc=4.4MB, time=42.42
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.811
y[1] (analytic) = 1.021784728696975058742389228
y[1] (numeric) = 1.0217847286969750587423892279995
absolute error = 5e-31
relative error = 4.8933986382593723759876419701673e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.812
y[1] (analytic) = 1.022340162078048278708916439543
y[1] (numeric) = 1.0223401620780482787089164395433
absolute error = 3e-31
relative error = 2.9344440444382852029283387759711e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.813
y[1] (analytic) = 1.022895703319065583295138581215
y[1] (numeric) = 1.022895703319065583295138581214
absolute error = 1.0e-30
relative error = 9.7761677632942029576728066961205e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.814
y[1] (analytic) = 1.023451352405791280445947289457
y[1] (numeric) = 1.0234513524057912804459472894564
absolute error = 6e-31
relative error = 5.8625160696656562699576472097018e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.815
y[1] (analytic) = 1.024007109323998225305672376344
y[1] (numeric) = 1.0240071093239982253056723763437
absolute error = 3e-31
relative error = 2.9296671602021007447500155925908e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=480.6MB, alloc=4.4MB, time=42.83
x[1] = 0.816
y[1] (analytic) = 1.024562974059467812500281225998
y[1] (numeric) = 1.0245629740594678125002812259977
absolute error = 3e-31
relative error = 2.9280777033290231159106629749832e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.817
y[1] (analytic) = 1.025118946597989968429247299563
y[1] (numeric) = 1.025118946597989968429247299563
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.818
y[1] (analytic) = 1.025675026925363143567072233087
y[1] (numeric) = 1.0256750269253631435670722330872
absolute error = 2e-31
relative error = 1.9499353572011430529924674054674e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.819
y[1] (analytic) = 1.026231215027394304774446043033
y[1] (numeric) = 1.0262312150273943047744460430322
absolute error = 8e-31
relative error = 7.7955141910066020632378113332286e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.82
y[1] (analytic) = 1.02678751088989892761902998444
y[1] (numeric) = 1.0267875108898989276190299844404
absolute error = 4e-31
relative error = 3.8956453575611465841869103304222e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.821
y[1] (analytic) = 1.027343914498700988705846637013
y[1] (numeric) = 1.0273439144987009887058466370118
absolute error = 1.2e-30
relative error = 1.1680606494715527163186594798099e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=484.4MB, alloc=4.4MB, time=43.23
x[1] = 0.822
y[1] (analytic) = 1.027900425839632958017261824508
y[1] (numeric) = 1.0279004258396329580172618245079
absolute error = 1e-31
relative error = 9.7285687880045122184411623738268e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.823
y[1] (analytic) = 1.028457044898535791262543002989
y[1] (numeric) = 1.02845704489853579126254300299
absolute error = 1.0e-30
relative error = 9.7233035153029335294157533259550e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.824
y[1] (analytic) = 1.029013771661258922236978783422
y[1] (numeric) = 1.0290137716612589222369787834211
absolute error = 9e-31
relative error = 8.7462386295085565674356184145781e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.825
y[1] (analytic) = 1.029570606113660255190544284114
y[1] (numeric) = 1.0295706061136602551905442841137
absolute error = 3e-31
relative error = 2.9138361003954425688466416678291e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.826
y[1] (analytic) = 1.030127548241606157206097038388
y[1] (numeric) = 1.0301275482416061572060970383884
absolute error = 4e-31
relative error = 3.8830142993727994513862012232100e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.827
y[1] (analytic) = 1.030684598030971450587088212624
y[1] (numeric) = 1.0306845980309714505870882126239
absolute error = 1e-31
relative error = 9.7022891572301403797490383853162e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=488.2MB, alloc=4.4MB, time=43.65
x[1] = 0.828
y[1] (analytic) = 1.031241755467639405254773919624
y[1] (numeric) = 1.0312417554676394052547739196244
absolute error = 4e-31
relative error = 3.8788188887736721267292914212795e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.829
y[1] (analytic) = 1.031799020537501731154911441907
y[1] (numeric) = 1.0317990205375017311549114419075
absolute error = 5e-31
relative error = 4.8459049683874653132346946689644e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.83
y[1] (analytic) = 1.032356393226458570673925209127
y[1] (numeric) = 1.032356393226458570673925209126
absolute error = 1.0e-30
relative error = 9.6865772959923846287713832331079e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.831
y[1] (analytic) = 1.032913873520418491064527403375
y[1] (numeric) = 1.0329138735204184910645274033765
absolute error = 1.5e-30
relative error = 1.4522023940753548397301946629518e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.832
y[1] (analytic) = 1.033471461405298476880778095622
y[1] (numeric) = 1.0334714614052984768807780956218
absolute error = 2e-31
relative error = 1.9352251849126351251353875921606e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=492.1MB, alloc=4.4MB, time=44.06
x[1] = 0.833
y[1] (analytic) = 1.03402915686702392242256984586
y[1] (numeric) = 1.0340291568670239224225698458595
absolute error = 5e-31
relative error = 4.8354535912211222607413218138939e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.834
y[1] (analytic) = 1.034586959891528624189521729005
y[1] (numeric) = 1.0345869598915286241895217290048
absolute error = 2e-31
relative error = 1.9331386123498890851223867061805e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.835
y[1] (analytic) = 1.03514487046475477334426777773
y[1] (numeric) = 1.0351448704647547733442677777295
absolute error = 5e-31
relative error = 4.8302417783852052293787352045887e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.836
y[1] (analytic) = 1.035702888572652948185124862697
y[1] (numeric) = 1.0357028885726529481851248626972
absolute error = 2e-31
relative error = 1.9310557323599692827681660048823e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.837
y[1] (analytic) = 1.036261014201182106628125059776
y[1] (numeric) = 1.0362610142011821066281250597755
absolute error = 5e-31
relative error = 4.8250391855707585773207733071572e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.838
y[1] (analytic) = 1.036819247336309578698397582871
y[1] (numeric) = 1.0368192473363095786983975828714
absolute error = 4e-31
relative error = 3.8579530716432904219007579164025e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=495.9MB, alloc=4.4MB, time=44.47
x[1] = 0.839
y[1] (analytic) = 1.037377587964011059030885390041
y[1] (numeric) = 1.0373775879640110590308853900403
absolute error = 7e-31
relative error = 6.7477841060152589337255982388149e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.84
y[1] (analytic) = 1.037936036070270599380381599454
y[1] (numeric) = 1.0379360360702705993803815994536
absolute error = 4e-31
relative error = 3.8538020272852257165964102492408e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.841
y[1] (analytic) = 1.038494591641080601140870880681
y[1] (numeric) = 1.0384945916410806011408708806802
absolute error = 8e-31
relative error = 7.7034585104174723499140585127652e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.842
y[1] (analytic) = 1.03905325466244180787416101554
y[1] (numeric) = 1.0390532546624418078741610155399
absolute error = 1e-31
relative error = 9.6241457837969135196386077002353e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.843
y[1] (analytic) = 1.039612025120363297847789851523
y[1] (numeric) = 1.0396120251203632978477898515238
absolute error = 8e-31
relative error = 7.6951783999168179593333706500339e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.844
y[1] (analytic) = 1.040170903000862476582192899448
y[1] (numeric) = 1.0401709030008624765821928994483
absolute error = 3e-31
relative error = 2.8841414342057523364054967182153e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=499.7MB, alloc=4.4MB, time=44.88
x[1] = 0.845
y[1] (analytic) = 1.040729888289965069407116855614
y[1] (numeric) = 1.0407298882899650694071168556153
absolute error = 1.3e-30
relative error = 1.2491233456704549474556999665375e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.846
y[1] (analytic) = 1.04128898097370511402726435729
y[1] (numeric) = 1.0412889809737051140272643572899
absolute error = 1e-31
relative error = 9.6034820138488745464746004188958e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.847
y[1] (analytic) = 1.041848181038124953097155308784
y[1] (numeric) = 1.0418481810381249530971553087844
absolute error = 4e-31
relative error = 3.8393309819999826696312055351559e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.848
y[1] (analytic) = 1.042407488469275226805190143844
y[1] (numeric) = 1.0424074884692752268051901438446
absolute error = 6e-31
relative error = 5.7559064630384693563215870655675e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.849
y[1] (analytic) = 1.04296690325321486546690041838
y[1] (numeric) = 1.0429669032532148654669004183802
absolute error = 2e-31
relative error = 1.9176063916904883371065367808388e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.85
y[1] (analytic) = 1.043526425376011082127372155861
y[1] (numeric) = 1.0435264253760110821273721558608
absolute error = 2e-31
relative error = 1.9165782019169714425923295581647e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=503.5MB, alloc=4.4MB, time=45.29
x[1] = 0.851
y[1] (analytic) = 1.044086054823739365172827395916
y[1] (numeric) = 1.0440860548237393651728273959156
absolute error = 4e-31
relative error = 3.8311018344893730444801721253026e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.852
y[1] (analytic) = 1.044645791582483470951349424823
y[1] (numeric) = 1.0446457915824834709513494248226
absolute error = 4e-31
relative error = 3.8290490731222811248991920963182e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.853
y[1] (analytic) = 1.045205635638335416402737194664
y[1] (numeric) = 1.0452056356383354164027371946639
absolute error = 1e-31
relative error = 9.5674952937779836096224284193926e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.854
y[1] (analytic) = 1.045765586977395471697474465943
y[1] (numeric) = 1.0457655869773954716974744659418
absolute error = 1.2e-30
relative error = 1.1474846896314425673900939635222e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.855
y[1] (analytic) = 1.046325645585772152884799236413
y[1] (numeric) = 1.0463256455857721528847992364124
absolute error = 6e-31
relative error = 5.7343524220329857597493704478479e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=507.3MB, alloc=4.4MB, time=45.69
x[1] = 0.856
y[1] (analytic) = 1.046885811449582214549859046786
y[1] (numeric) = 1.0468858114495822145498590467861
absolute error = 1e-31
relative error = 9.5521401576294051751574769867707e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.857
y[1] (analytic) = 1.047446084554950642479937781776
y[1] (numeric) = 1.0474460845549506424799377817759
absolute error = 1e-31
relative error = 9.5470307707999117785320330953429e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.858
y[1] (analytic) = 1.048006464888010646339739612743
y[1] (numeric) = 1.0480064648880106463397396127427
absolute error = 3e-31
relative error = 2.8625777612169388986363936038059e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.859
y[1] (analytic) = 1.048566952434903652355715755889
y[1] (numeric) = 1.0485669524349036523557157558894
absolute error = 4e-31
relative error = 3.8147301807590822408794506538214e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.86
y[1] (analytic) = 1.0491275471817792960094197476
y[1] (numeric) = 1.0491275471817792960094197475997
absolute error = 3e-31
relative error = 2.8595188526492848595841410286331e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.861
y[1] (analytic) = 1.049688249114795414739876966093
y[1] (numeric) = 1.0496882491147954147398769660925
absolute error = 5e-31
relative error = 4.7633190180194089395661306170933e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=511.1MB, alloc=4.4MB, time=46.10
x[1] = 0.862
y[1] (analytic) = 1.05024905822011804065495415608
y[1] (numeric) = 1.0502490582201180406549541560806
absolute error = 6e-31
relative error = 5.7129306168275381649770769232265e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.863
y[1] (analytic) = 1.050809974483921393251714740575
y[1] (numeric) = 1.0508099744839213932517147405748
absolute error = 2e-31
relative error = 1.9032936958770772601402423846888e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.864
y[1] (analytic) = 1.051370997892387872145745731364
y[1] (numeric) = 1.0513709978923878721457457313635
absolute error = 5e-31
relative error = 4.7556951922995411359726327177227e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.865
y[1] (analytic) = 1.051932128431708049809442077029
y[1] (numeric) = 1.0519321284317080498094420770288
absolute error = 2e-31
relative error = 1.9012633476474722787561237502746e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.866
y[1] (analytic) = 1.052493366088080664319234314623
y[1] (numeric) = 1.0524933660880806643192343146225
absolute error = 5e-31
relative error = 4.7506237674295819767039355607894e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.867
y[1] (analytic) = 1.053054710847712612111745418332
y[1] (numeric) = 1.0530547108477126121117454183331
absolute error = 1.1e-30
relative error = 1.0445801045935175305137460665945e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=515.0MB, alloc=4.4MB, time=46.50
x[1] = 0.868
y[1] (analytic) = 1.053616162696818940748862765614
y[1] (numeric) = 1.0536161626968189407488627656141
absolute error = 1e-31
relative error = 9.4911224353318206959075803914101e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.869
y[1] (analytic) = 1.054177721621622841691711168326
y[1] (numeric) = 1.0541777216216228416917111683263
absolute error = 3e-31
relative error = 2.8458199585029679359467297226094e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.87
y[1] (analytic) = 1.054739387608355643083512943464
y[1] (numeric) = 1.054739387608355643083512943465
absolute error = 1.0e-30
relative error = 9.4810150426592261095096343425240e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.871
y[1] (analytic) = 1.055301160643256802541321025002
y[1] (numeric) = 1.0553011606432568025413210250016
absolute error = 4e-31
relative error = 3.7903871891525331558549183756979e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.872
y[1] (analytic) = 1.055863040712573899956611145263
y[1] (numeric) = 1.0558630407125738999566111452643
absolute error = 1.3e-30
relative error = 1.2312202907705383415067968732369e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.873
y[1] (analytic) = 1.05642502780256263030471914112
y[1] (numeric) = 1.0564250278025626303047191411198
memory used=518.8MB, alloc=4.4MB, time=46.90
absolute error = 2e-31
relative error = 1.8931774118984465867574547904723e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.874
y[1] (analytic) = 1.056987121899486796463109466992
y[1] (numeric) = 1.0569871218994867964631094669916
absolute error = 4e-31
relative error = 3.7843412820505265016235475331731e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.875
y[1] (analytic) = 1.057549322989618302038461023464
y[1] (numeric) = 1.0575493229896183020384610234651
absolute error = 1.1e-30
relative error = 1.0401406119672759940587419512444e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.876
y[1] (analytic) = 1.058111631059237144202556436883
y[1] (numeric) = 1.0581116310592371442025564368827
absolute error = 3e-31
relative error = 2.8352396022684382559552695861367e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.877
y[1] (analytic) = 1.058674046094631406536960951927
y[1] (numeric) = 1.0586740460946314065369609519262
absolute error = 8e-31
relative error = 7.5566223895932801535819429913990e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.878
y[1] (analytic) = 1.059236568082097251886477125717
y[1] (numeric) = 1.0592365680820972518864771257161
absolute error = 9e-31
relative error = 8.4966855102971156764868764051601e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=522.6MB, alloc=4.4MB, time=47.31
x[1] = 0.879
y[1] (analytic) = 1.05979919700793891522136153843
y[1] (numeric) = 1.0597991970079389152213615384299
absolute error = 1e-31
relative error = 9.4357497422458326157293043755491e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.88
y[1] (analytic) = 1.060361932858468696508289761856
y[1] (numeric) = 1.060361932858468696508289761856
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.881
y[1] (analytic) = 1.060924775620006953590055853652
y[1] (numeric) = 1.060924775620006953590055853652
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.882
y[1] (analytic) = 1.06148772527888209507399267137
y[1] (numeric) = 1.0614877252788820950739926713696
absolute error = 4e-31
relative error = 3.7682960478408638247032893186441e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.883
y[1] (analytic) = 1.062050781821430573229099326543
y[1] (numeric) = 1.062050781821430573229099326544
absolute error = 1.0e-30
relative error = 9.4157456226809353250518597553861e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.884
y[1] (analytic) = 1.062613945233996876891862125319
y[1] (numeric) = 1.0626139452339968768918621253191
absolute error = 1e-31
relative error = 9.4107554722500019612489637275893e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=526.4MB, alloc=4.4MB, time=47.71
x[1] = 0.885
y[1] (analytic) = 1.063177215502933524380755368198
y[1] (numeric) = 1.0631772155029335243807553681975
absolute error = 5e-31
relative error = 4.7028848315139650137535036196241e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.886
y[1] (analytic) = 1.063740592614601056419408407558
y[1] (numeric) = 1.0637405926146010564194084075589
absolute error = 9e-31
relative error = 8.4607093707673788598534376305698e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.887
y[1] (analytic) = 1.064304076555368029068425387591
y[1] (numeric) = 1.0643040765553680290684253875913
absolute error = 3e-31
relative error = 2.8187433141377540690518919748969e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.888
y[1] (analytic) = 1.064867667311611006665844117217
y[1] (numeric) = 1.0648676673116110066658441172168
absolute error = 2e-31
relative error = 1.8781676459848247877615857867207e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.889
y[1] (analytic) = 1.065431364869714554776220552475
y[1] (numeric) = 1.0654313648697145547762205524756
absolute error = 6e-31
relative error = 5.6315218397326845452658607746590e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.89
y[1] (analytic) = 1.065995169216071233148325390654
y[1] (numeric) = 1.0659951692160712331483253906547
absolute error = 7e-31
relative error = 6.5666338855435650841275271114308e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=530.2MB, alloc=4.4MB, time=48.11
x[1] = 0.891
y[1] (analytic) = 1.066559080337081588681439304212
y[1] (numeric) = 1.0665590803370815886814393042116
absolute error = 4e-31
relative error = 3.7503782713432213564196339619429e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.892
y[1] (analytic) = 1.06712309821915414840023336825
y[1] (numeric) = 1.06712309821915414840023336825
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.893
y[1] (analytic) = 1.067687222848705412438221260952
y[1] (numeric) = 1.0676872228487054124382212609527
absolute error = 7e-31
relative error = 6.5562271891980126173627847407747e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.894
y[1] (analytic) = 1.068251454212159847029769841969
y[1] (numeric) = 1.0682514542121598470297698419688
absolute error = 2e-31
relative error = 1.8722183734119124693375836373259e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.895
y[1] (analytic) = 1.068815792295949877510654739282
y[1] (numeric) = 1.0688157922959498775106547392832
absolute error = 1.2e-30
relative error = 1.1227379017503568617747485261252e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=534.0MB, alloc=4.4MB, time=48.52
x[1] = 0.896
y[1] (analytic) = 1.069380237086515881327147600573
y[1] (numeric) = 1.0693802370865158813271476005741
absolute error = 1.1e-30
relative error = 1.0286331857010060803814218775371e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.897
y[1] (analytic) = 1.069944788570306181053621690483
y[1] (numeric) = 1.0699447885703061810536216904821
absolute error = 9e-31
relative error = 8.4116489898755267250486703146474e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.898
y[1] (analytic) = 1.070509446733777037418662540574
y[1] (numeric) = 1.0705094467337770374186625405744
absolute error = 4e-31
relative error = 3.7365387220116259360519399347560e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.899
y[1] (analytic) = 1.071074211563392642339670384093
y[1] (numeric) = 1.0710742115633926423396703840945
absolute error = 1.5e-30
relative error = 1.4004631834152053415431183528298e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.9
y[1] (analytic) = 1.071639083045625111965941132832
y[1] (numeric) = 1.071639083045625111965941132832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.901
y[1] (analytic) = 1.07220406116695447973021267864
y[1] (numeric) = 1.0722040611669544797302126786403
absolute error = 3e-31
relative error = 2.7979748525993183719027737329004e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=537.8MB, alloc=4.4MB, time=48.92
x[1] = 0.902
y[1] (analytic) = 1.072769145913868689408663327262
y[1] (numeric) = 1.0727691459138686894086633272631
absolute error = 1.1e-30
relative error = 1.0253837036512957674628021742582e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.903
y[1] (analytic) = 1.073334337272863588189349197208
y[1] (numeric) = 1.0733343372728635881893491972076
absolute error = 4e-31
relative error = 3.7267045887707569107483964129830e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.904
y[1] (analytic) = 1.073899635230442919749067441426
y[1] (numeric) = 1.0738996352304429197490674414256
absolute error = 4e-31
relative error = 3.7247428612280507756612771821517e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.905
y[1] (analytic) = 1.074465039773118317338632174526
y[1] (numeric) = 1.0744650397731183173386321745265
absolute error = 5e-31
relative error = 4.6534785357518835982043170669461e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.906
y[1] (analytic) = 1.075030550887409296876550013159
y[1] (numeric) = 1.0750305508874092968765500131585
absolute error = 5e-31
relative error = 4.6510306110581063911994082856220e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.907
y[1] (analytic) = 1.075596168559843250051082162043
y[1] (numeric) = 1.0755961685598432500510821620441
absolute error = 1.1e-30
relative error = 1.0226886559784161103916004721781e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=541.7MB, alloc=4.4MB, time=49.33
x[1] = 0.908
y[1] (analytic) = 1.076161892776955437430680002957
y[1] (numeric) = 1.0761618927769554374306800029581
absolute error = 1.1e-30
relative error = 1.0221510419417770928538893444660e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.909
y[1] (analytic) = 1.076727723525288981582781168673
y[1] (numeric) = 1.0767277235252889815827811686744
absolute error = 1.4e-30
relative error = 1.3002358622440711764829356985588e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.91
y[1] (analytic) = 1.077293660791394860200953108598
y[1] (numeric) = 1.0772936607913948602009531085977
absolute error = 3e-31
relative error = 2.7847560133196721905381996901008e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.911
y[1] (analytic) = 1.077859704561831899240371177427
y[1] (numeric) = 1.0778597045618318992403711774263
absolute error = 7e-31
relative error = 6.4943516956556212927084963883045e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.912
y[1] (analytic) = 1.078425854823166766061618302769
y[1] (numeric) = 1.0784258548231667660616183027694
absolute error = 4e-31
relative error = 3.7091098865168564567339677392723e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=545.5MB, alloc=4.4MB, time=49.74
x[1] = 0.913
y[1] (analytic) = 1.078992111561973962582793312164
y[1] (numeric) = 1.0789921115619739625827933121634
absolute error = 6e-31
relative error = 5.5607450098168568462505904840254e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.914
y[1] (analytic) = 1.079558474764835818439915024397
y[1] (numeric) = 1.079558474764835818439915024398
absolute error = 1.0e-30
relative error = 9.2630461746672283522380709333434e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.915
y[1] (analytic) = 1.080124944418342484155609234475
y[1] (numeric) = 1.0801249444183424841556092344763
absolute error = 1.3e-30
relative error = 1.2035644642019283393240018314228e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.916
y[1] (analytic) = 1.080691520509091924316065745889
y[1] (numeric) = 1.0806915205090919243160657458885
absolute error = 5e-31
relative error = 4.6266671895830191184300002863111e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.917
y[1] (analytic) = 1.081258203023689910756252628183
y[1] (numeric) = 1.0812582030236899107562526281837
absolute error = 7e-31
relative error = 6.4739393240437991434798926873228e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.918
y[1] (analytic) = 1.081824991948750015753374902071
y[1] (numeric) = 1.0818249919487500157533749020721
absolute error = 1.1e-30
relative error = 1.0168003218510513024613409084425e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=549.3MB, alloc=4.4MB, time=50.15
x[1] = 0.919
y[1] (analytic) = 1.082391887270893605228564878484
y[1] (numeric) = 1.082391887270893605228564878484
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.92
y[1] (analytic) = 1.082958888976749831956791402155
y[1] (numeric) = 1.082958888976749831956791402154
absolute error = 1.0e-30
relative error = 9.2339608657246924742980811742885e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.921
y[1] (analytic) = 1.083525997052955628784975274386
y[1] (numeric) = 1.0835259970529556287849752743849
absolute error = 1.1e-30
relative error = 1.0152040680074603048343842727665e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.922
y[1] (analytic) = 1.084093211486155701858298153678
y[1] (numeric) = 1.0840932114861557018582981536781
absolute error = 1e-31
relative error = 9.2242990676892583294635937978382e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.923
y[1] (analytic) = 1.084660532263002523854692256897
y[1] (numeric) = 1.0846605322630025238546922568978
absolute error = 8e-31
relative error = 7.3755795127061966086798749994021e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.924
y[1] (analytic) = 1.085227959370156327227498207563
y[1] (numeric) = 1.0852279593701563272274982075629
absolute error = 1e-31
relative error = 9.2146538555860571706331788396608e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=553.1MB, alloc=4.4MB, time=50.55
x[1] = 0.925
y[1] (analytic) = 1.08579549279428509745627840173
y[1] (numeric) = 1.0857954927942850974562784017308
absolute error = 8e-31
relative error = 7.3678699654684242200120739550576e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.926
y[1] (analytic) = 1.086363132522064566305773285761
y[1] (numeric) = 1.08636313252206456630577328576
absolute error = 1.0e-30
relative error = 9.2050251896751430961839083662341e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.927
y[1] (analytic) = 1.086930878540178205092987964002
y[1] (numeric) = 1.0869308785401782050929879640024
absolute error = 4e-31
relative error = 3.6800868196625998393692651469832e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.928
y[1] (analytic) = 1.087498730835317217962396578192
y[1] (numeric) = 1.0874987308353172179623965781916
absolute error = 4e-31
relative error = 3.6781652121355261424469746844453e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.929
y[1] (analytic) = 1.088066689394180535169251923954
y[1] (numeric) = 1.0880666893941805351692519239531
absolute error = 9e-31
relative error = 8.2715518154600129282165486586244e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.93
y[1] (analytic) = 1.088634754203474806370987793471
y[1] (numeric) = 1.0886347542034748063709877934721
absolute error = 1.1e-30
relative error = 1.0104399071889275138236254555342e-28 %
Correct digits = 29
h = 0.001
memory used=556.9MB, alloc=4.4MB, time=50.95
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.931
y[1] (analytic) = 1.089202925249914393926701556909
y[1] (numeric) = 1.0892029252499143939267015569083
absolute error = 7e-31
relative error = 6.4267179583582835829228430909936e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.932
y[1] (analytic) = 1.089771202520221366204704518653
y[1] (numeric) = 1.0897712025202213662047045186532
absolute error = 2e-31
relative error = 1.8352476147055177721185280295871e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.933
y[1] (analytic) = 1.090339586001125490898127607974
y[1] (numeric) = 1.0903395860011254908981276079743
absolute error = 3e-31
relative error = 2.7514363768105024881680509543172e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.934
y[1] (analytic) = 1.09090807567936422834856998699
y[1] (numeric) = 1.0909080756793642283485699869907
absolute error = 7e-31
relative error = 6.4166726381970746202294465468633e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.935
y[1] (analytic) = 1.091476671541682724877778182274
y[1] (numeric) = 1.0914766715416827248777781822726
absolute error = 1.4e-30
relative error = 1.2826659849930974788016331498058e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=560.7MB, alloc=4.4MB, time=51.36
x[1] = 0.936
y[1] (analytic) = 1.09204537357483380612734336965
y[1] (numeric) = 1.0920453735748338061273433696508
absolute error = 8e-31
relative error = 7.3257029365106227124203406975098e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.937
y[1] (analytic) = 1.092614181765577970406404465068
y[1] (numeric) = 1.0926141817655779704064044650679
absolute error = 1e-31
relative error = 9.1523615260427904316816640128135e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.938
y[1] (analytic) = 1.093183096100683382047344697495
y[1] (numeric) = 1.0931830961006833820473446974938
absolute error = 1.2e-30
relative error = 1.0977118144987110759375868545626e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.939
y[1] (analytic) = 1.093752116566925864769469363069
y[1] (numeric) = 1.0937521165669258647694693630689
absolute error = 1e-31
relative error = 9.1428394501196904091680630522722e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.94
y[1] (analytic) = 1.094321243151088895050652482729
y[1] (numeric) = 1.0943212431510888950506524827293
absolute error = 3e-31
relative error = 2.7414253527250599781995874576597e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.941
y[1] (analytic) = 1.094890475839963595506940108604
y[1] (numeric) = 1.094890475839963595506940108604
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=564.5MB, alloc=4.4MB, time=51.76
x[1] = 0.942
y[1] (analytic) = 1.095459814620348728280098047464
y[1] (numeric) = 1.0954598146203487282800980474642
absolute error = 2e-31
relative error = 1.8257173593292748189676500221867e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.943
y[1] (analytic) = 1.096029259479050688433091792439
y[1] (numeric) = 1.096029259479050688433091792439
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.944
y[1] (analytic) = 1.0965988104028834973534864771
y[1] (numeric) = 1.0965988104028834973534864770987
absolute error = 1.3e-30
relative error = 1.1854836861644854296919665096102e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.945
y[1] (analytic) = 1.097168467378668796164754688842
y[1] (numeric) = 1.0971684673786687961647546888414
absolute error = 6e-31
relative error = 5.4686223477922860855258434952829e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.946
y[1] (analytic) = 1.097738230393235839145480001303
y[1] (numeric) = 1.0977382303932358391454800013027
absolute error = 3e-31
relative error = 2.7328919745514638140035510564331e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.947
y[1] (analytic) = 1.098308099433421487156444108243
y[1] (numeric) = 1.0983080994334214871564441082431
absolute error = 1e-31
relative error = 9.1049132799427120911877864718487e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=568.4MB, alloc=4.4MB, time=52.15
x[1] = 0.948
y[1] (analytic) = 1.098878074486070201075585464051
y[1] (numeric) = 1.0988780744860702010755854640516
absolute error = 6e-31
relative error = 5.4601144015054768441621785302342e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.949
y[1] (analytic) = 1.099448155538034035240817358637
y[1] (numeric) = 1.0994481555380340352408173586366
absolute error = 4e-31
relative error = 3.6381888312346393288210610945854e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.95
y[1] (analytic) = 1.10001834257617263090069337706
y[1] (numeric) = 1.1000183425761726309006933770602
absolute error = 2e-31
relative error = 1.8181515003796462756165716662429e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.951
y[1] (analytic) = 1.100588635587353209672908216805
y[1] (numeric) = 1.100588635587353209672908216805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.952
y[1] (analytic) = 1.101159034558450567010621858047
y[1] (numeric) = 1.1011590345584505670106218580471
absolute error = 1e-31
relative error = 9.0813403751528594536140655393438e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=572.2MB, alloc=4.4MB, time=52.55
x[1] = 0.953
y[1] (analytic) = 1.101729539476347065676595104743
y[1] (numeric) = 1.1017295394763470656765951047436
absolute error = 6e-31
relative error = 5.4459826890470821136319642242369e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.954
y[1] (analytic) = 1.102300150327932629225124536727
y[1] (numeric) = 1.1023001503279326292251245367272
absolute error = 2e-31
relative error = 1.8143878501740229481582773284487e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.955
y[1] (analytic) = 1.102870867100104735491764935336
y[1] (numeric) = 1.1028708671001047354917649353365
absolute error = 5e-31
relative error = 4.5336223388936095044620473514045e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.956
y[1] (analytic) = 1.103441689779768410090827267397
y[1] (numeric) = 1.1034416897797684100908272673981
absolute error = 1.1e-30
relative error = 9.9688095002060750176405329607306e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.957
y[1] (analytic) = 1.104012618353836219920640334612
y[1] (numeric) = 1.1040126183538362199206403346115
absolute error = 5e-31
relative error = 4.5289337430358057774419149124866e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.958
y[1] (analytic) = 1.104583652809228266676564217578
y[1] (numeric) = 1.1045836528092282666765642175788
absolute error = 8e-31
relative error = 7.2425478863950500759090719297182e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=576.0MB, alloc=4.4MB, time=52.96
x[1] = 0.959
y[1] (analytic) = 1.105154793132872180371743665859
y[1] (numeric) = 1.1051547931328721803717436658588
absolute error = 2e-31
relative error = 1.8097012404302544162811978000687e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.96
y[1] (analytic) = 1.105726039311703112865589607517
y[1] (numeric) = 1.1057260393117031128655896075163
absolute error = 7e-31
relative error = 6.3306820596875775441813935001104e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.961
y[1] (analytic) = 1.10629739133266373139997697368
y[1] (numeric) = 1.1062973913326637313999769736802
absolute error = 2e-31
relative error = 1.8078321576721496658432517102656e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.962
y[1] (analytic) = 1.106868849182704212143147055616
y[1] (numeric) = 1.1068688491827042121431470556163
absolute error = 3e-31
relative error = 2.7103482063075098487417948989333e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.963
y[1] (analytic) = 1.107440412848782233741302633768
y[1] (numeric) = 1.1074404128487822337413026337676
absolute error = 4e-31
relative error = 3.6119324828596338771459160636605e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.964
y[1] (analytic) = 1.10801208231786297087788414011
y[1] (numeric) = 1.1080120823178629708778841401101
absolute error = 1e-31
relative error = 9.0251723420568548517586440425746e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=579.8MB, alloc=4.4MB, time=53.36
x[1] = 0.965
y[1] (analytic) = 1.108583857576919087840515137022
y[1] (numeric) = 1.1085838575769190878405151370222
absolute error = 2e-31
relative error = 1.8041034842158794519739065877698e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.966
y[1] (analytic) = 1.109155738612930732095605417668
y[1] (numeric) = 1.109155738612930732095605417667
absolute error = 1.0e-30
relative error = 9.0158664395548557156068581376136e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.967
y[1] (analytic) = 1.109727725412885527870600054638
y[1] (numeric) = 1.109727725412885527870600054638
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.968
y[1] (analytic) = 1.110299817963778569743862745326
y[1] (numeric) = 1.1102998179637785697438627453258
absolute error = 2e-31
relative error = 1.8013152552504932635117948100862e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.969
y[1] (analytic) = 1.11087201625261241624218182412
y[1] (numeric) = 1.1108720162526124162421818241205
absolute error = 5e-31
relative error = 4.5009685425931185406920005162048e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.97
y[1] (analytic) = 1.111444320266397083445887333173
y[1] (numeric) = 1.1114443202663970834458873331737
absolute error = 7e-31
relative error = 6.2981112704972944810423330540116e-29 %
Correct digits = 30
h = 0.001
memory used=583.6MB, alloc=4.4MB, time=53.77
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.971
y[1] (analytic) = 1.112016729992150038601567565008
y[1] (numeric) = 1.1120167299921500386015675650079
absolute error = 1e-31
relative error = 8.9926704610555563458007594229512e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.972
y[1] (analytic) = 1.112589245416896193742373511776
y[1] (numeric) = 1.1125892454168961937423735117759
absolute error = 1e-31
relative error = 8.9880430187449089320403549005017e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.973
y[1] (analytic) = 1.113161866527667899315899677441
y[1] (numeric) = 1.113161866527667899315899677441
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.974
y[1] (analytic) = 1.11373459331150493781962973057
y[1] (numeric) = 1.1137345933115049378196297305701
absolute error = 1e-31
relative error = 8.9787998505700177267038394950794e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.975
y[1] (analytic) = 1.114307425755454517443935496807
y[1] (numeric) = 1.1143074257554545174439354968067
absolute error = 3e-31
relative error = 2.6922552346504588900780484795225e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=587.4MB, alloc=4.4MB, time=54.17
x[1] = 0.976
y[1] (analytic) = 1.114880363846571265722617811418
y[1] (numeric) = 1.1148803638465712657226178114173
absolute error = 7e-31
relative error = 6.2787005915581208358867582305061e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.977
y[1] (analytic) = 1.115453407571917223190977773585
y[1] (numeric) = 1.1154534075719172231909777735857
absolute error = 7e-31
relative error = 6.2754750243108520532689571646083e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.978
y[1] (analytic) = 1.116026556918561837051406965364
y[1] (numeric) = 1.1160265569185618370514069653651
absolute error = 1.1e-30
relative error = 9.8563962764218403864068151132288e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.979
y[1] (analytic) = 1.116599811873581954846485219383
y[1] (numeric) = 1.116599811873581954846485219384
absolute error = 1.0e-30
relative error = 8.9557600616291073492094344068380e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.98
y[1] (analytic) = 1.117173172424061818139574540544
y[1] (numeric) = 1.1171731724240618181395745405447
absolute error = 7e-31
relative error = 6.2658146228227786863827768156668e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.981
y[1] (analytic) = 1.117746638557093056202897808048
y[1] (numeric) = 1.1177466385570930562028978080482
absolute error = 2e-31
relative error = 1.7893142605034482332379030460054e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=591.3MB, alloc=4.4MB, time=54.58
x[1] = 0.982
y[1] (analytic) = 1.118320210259774679713090905127
y[1] (numeric) = 1.118320210259774679713090905127
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.983
y[1] (analytic) = 1.118893887519213074454216944874
y[1] (numeric) = 1.1188938875192130744542169448735
absolute error = 5e-31
relative error = 4.4686990033397090600652236683454e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.984
y[1] (analytic) = 1.119467670322521995028231281506
y[1] (numeric) = 1.1194676703225219950282312815059
absolute error = 1e-31
relative error = 8.9328171461342603961098643641071e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.985
y[1] (analytic) = 1.120041558656822558572886017327
y[1] (numeric) = 1.1200415586568225585728860173269
absolute error = 1e-31
relative error = 8.9282401377965035018275314318224e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.986
y[1] (analytic) = 1.120615552509243238487062736497
y[1] (numeric) = 1.1206155525092432384870627364959
absolute error = 1.1e-30
relative error = 9.8160336748577010845530375855815e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.987
y[1] (analytic) = 1.121189651866919858163522217556
y[1] (numeric) = 1.1211896518669198581635222175557
absolute error = 3e-31
relative error = 2.6757292978976641807966314179619e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=595.1MB, alloc=4.4MB, time=54.98
x[1] = 0.988
y[1] (analytic) = 1.12176385671699558472905989743
y[1] (numeric) = 1.1217638567169955847290598974304
absolute error = 4e-31
relative error = 3.5658128723335581553688353644328e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.989
y[1] (analytic) = 1.122338167046620922792055880341
y[1] (numeric) = 1.1223381670466209227920558803396
absolute error = 1.4e-30
relative error = 1.2473958750632466490980052315629e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.99
y[1] (analytic) = 1.122912582842953708197408305759
y[1] (numeric) = 1.1229125828429537081974083057599
absolute error = 9e-31
relative error = 8.0148714490437817458732588405012e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.991
y[1] (analytic) = 1.123487104093159101788838910203
y[1] (numeric) = 1.1234871040931591017888389102031
absolute error = 1e-31
relative error = 8.9008587313262155570237017331044e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.992
y[1] (analytic) = 1.124061730784409583178559638177
y[1] (numeric) = 1.1240617307844095831785596381765
absolute error = 5e-31
relative error = 4.4481542810916844882308609215190e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=598.9MB, alloc=4.4MB, time=55.39
x[1] = 0.993
y[1] (analytic) = 1.124636462903884944524289178238
y[1] (numeric) = 1.1246364629038849445242891782379
absolute error = 1e-31
relative error = 8.8917622092559097632773985414075e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.994
y[1] (analytic) = 1.125211300438772284313608320566
y[1] (numeric) = 1.1252113004387722843136083205658
absolute error = 2e-31
relative error = 1.7774439336150524483786803896511e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.995
y[1] (analytic) = 1.125786243376266001155643052924
y[1] (numeric) = 1.1257862433762660011556430529235
absolute error = 5e-31
relative error = 4.4413404670897853409613840630626e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.996
y[1] (analytic) = 1.126361291703567787580064332313
y[1] (numeric) = 1.1263612917035677875800643323126
absolute error = 4e-31
relative error = 3.5512584012454747821324098844421e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.997
y[1] (analytic) = 1.126936445407886623843393489982
y[1] (numeric) = 1.1269364454078866238433934899821
absolute error = 1e-31
relative error = 8.8736148704291582203769433319111e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.998
y[1] (analytic) = 1.127511704476438771742602247788
y[1] (numeric) = 1.1275117044764387717426022477883
absolute error = 3e-31
relative error = 2.6607262595052643896794737530227e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=602.7MB, alloc=4.4MB, time=55.81
x[1] = 0.999
y[1] (analytic) = 1.128087068896447768435996344181
y[1] (numeric) = 1.1280870688964477684359963441807
absolute error = 3e-31
relative error = 2.6593691947331271241326344033401e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1
y[1] (analytic) = 1.128662538655144420271371788332
y[1] (numeric) = 1.1286625386551444202713717883317
absolute error = 3e-31
relative error = 2.6580132654838034857421640875574e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.001
y[1] (analytic) = 1.12923811373976679662143278112
y[1] (numeric) = 1.129238113739766796621432781119
absolute error = 1.0e-30
relative error = 8.8555282347691839244307807643664e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.002
y[1] (analytic) = 1.129813794137560223726460361825
y[1] (numeric) = 1.1298137941375602237264603618246
absolute error = 4e-31
relative error = 3.5404064109992455110884840306002e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.003
y[1] (analytic) = 1.130389579835777278544220859519
y[1] (numeric) = 1.1303895798357772785442208595187
absolute error = 3e-31
relative error = 2.6539522776172788726910177472258e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.004
y[1] (analytic) = 1.130965470821677782607103248162
y[1] (numeric) = 1.1309654708216777826071032481624
absolute error = 4e-31
relative error = 3.5368011696182811464843762937571e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=606.5MB, alloc=4.4MB, time=56.21
x[1] = 1.005
y[1] (analytic) = 1.131541467082528795886474524484
y[1] (numeric) = 1.1315414670825287958864745244828
absolute error = 1.2e-30
relative error = 1.0605002422880523493591530470293e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.006
y[1] (analytic) = 1.132117568605604610664242247652
y[1] (numeric) = 1.1321175686056046106642422476511
absolute error = 9e-31
relative error = 7.9497043854597461478027618190748e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.007
y[1] (analytic) = 1.132693775378186745411613399729
y[1] (numeric) = 1.1326937753781867454116133997278
absolute error = 1.2e-30
relative error = 1.0594213776793651727766873236582e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.008
y[1] (analytic) = 1.133270087387563938675038745731
y[1] (numeric) = 1.1332700873875639386750387457301
absolute error = 9e-31
relative error = 7.9416196546288215998707049626038e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.009
y[1] (analytic) = 1.133846504621032142969331892023
y[1] (numeric) = 1.1338465046210321429693318920229
absolute error = 1e-31
relative error = 8.8195359418092668865019018207311e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.01
y[1] (analytic) = 1.134423027065894518677952261542
y[1] (numeric) = 1.1344230270658945186779522615407
absolute error = 1.3e-30
relative error = 1.1459569922186423632708212615940e-28 %
Correct digits = 29
h = 0.001
NO POLE
memory used=610.3MB, alloc=4.4MB, time=56.59
TOP MAIN SOLVE Loop
x[1] = 1.011
y[1] (analytic) = 1.134999654709461427960441224107
y[1] (numeric) = 1.1349996547094614279604412241077
absolute error = 7e-31
relative error = 6.1674027573090922131614402277034e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.012
y[1] (analytic) = 1.135576387539050428667000639844
y[1] (numeric) = 1.1355763875390504286670006398435
absolute error = 5e-31
relative error = 4.4030503406606444577510367057390e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.013
y[1] (analytic) = 1.136153225541986268260203093317
y[1] (numeric) = 1.1361532255419862682602030933169
absolute error = 1e-31
relative error = 8.8016297231648817013513131891385e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.014
y[1] (analytic) = 1.136730168705600877743823115745
y[1] (numeric) = 1.1367301687056008777438231157446
absolute error = 4e-31
relative error = 3.5188649955114816399463099024896e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.015
y[1] (analytic) = 1.137307217017233365598778712123
y[1] (numeric) = 1.1373072170172333655987787121226
absolute error = 4e-31
relative error = 3.5170795895330970027543345596447e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=614.1MB, alloc=4.4MB, time=56.97
x[1] = 1.016
y[1] (analytic) = 1.137884370464230011726172529727
y[1] (numeric) = 1.137884370464230011726172529727
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.017
y[1] (analytic) = 1.138461629033944261397422023927
y[1] (numeric) = 1.1384616290339442613974220239271
absolute error = 1e-31
relative error = 8.7837830849737325410599302623629e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.018
y[1] (analytic) = 1.139038992713736719211467996718
y[1] (numeric) = 1.1390389927137367192114679967187
absolute error = 7e-31
relative error = 6.1455314917030588495438440804007e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.019
y[1] (analytic) = 1.139616461490975143059050902808
y[1] (numeric) = 1.1396164614909751430590509028079
absolute error = 1e-31
relative error = 8.7748820220768564731047014340113e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.02
y[1] (analytic) = 1.140194035353034438094044337456
y[1] (numeric) = 1.1401940353530344380940443374562
absolute error = 2e-31
relative error = 1.7540874079215356863155155102761e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.021
y[1] (analytic) = 1.140771714287296650711835139637
y[1] (numeric) = 1.1407717142872966507118351396364
absolute error = 6e-31
relative error = 5.2595974504404088585211565166384e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=618.0MB, alloc=4.4MB, time=57.35
x[1] = 1.022
y[1] (analytic) = 1.141349498281150962534739563346
y[1] (numeric) = 1.1413494982811509625347395633459
absolute error = 1e-31
relative error = 8.7615581511708690412848606366838e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.023
y[1] (analytic) = 1.14192738732199368440444498918
y[1] (numeric) = 1.1419273873219936844044449891798
absolute error = 2e-31
relative error = 1.7514248473279258171004778665896e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.024
y[1] (analytic) = 1.142505381397228250381466667479
y[1] (numeric) = 1.1425053813972282503814666674795
absolute error = 5e-31
relative error = 4.3763470014340276770724313892892e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.025
y[1] (analytic) = 1.143083480494265211751609003546
y[1] (numeric) = 1.1430834804942652117516090035463
absolute error = 3e-31
relative error = 2.6244802336770808039004162472332e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.026
y[1] (analytic) = 1.143661684600522231039420914539
y[1] (numeric) = 1.143661684600522231039420914539
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.027
y[1] (analytic) = 1.144239993703424076028634806766
y[1] (numeric) = 1.1442399937034240760286348067669
absolute error = 9e-31
relative error = 7.8654828091358540921620285442944e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=621.8MB, alloc=4.4MB, time=57.73
x[1] = 1.028
y[1] (analytic) = 1.144818407790402613789578741135
y[1] (numeric) = 1.144818407790402613789578741136
absolute error = 1.0e-30
relative error = 8.7350097901560255314650244860380e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.029
y[1] (analytic) = 1.145396926848896804713551373517
y[1] (numeric) = 1.145396926848896804713551373517
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.03
y[1] (analytic) = 1.145975550866352696554149275769
y[1] (numeric) = 1.1459755508663526965541492757688
absolute error = 2e-31
relative error = 1.7452379315492450182499319342913e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.031
y[1] (analytic) = 1.146554279830223418475536262078
y[1] (numeric) = 1.1465542798302234184755362620786
absolute error = 6e-31
relative error = 5.2330710421214884936856624900927e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.032
y[1] (analytic) = 1.147133113727969175107644364164
y[1] (numeric) = 1.1471331137279691751076443641653
absolute error = 1.3e-30
relative error = 1.1332599368309069974538024457055e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=625.6MB, alloc=4.4MB, time=58.13
x[1] = 1.033
y[1] (analytic) = 1.147712052547057240608296117737
y[1] (numeric) = 1.1477120525470572406082961177375
absolute error = 5e-31
relative error = 4.3564934156644620939280583324532e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.034
y[1] (analytic) = 1.148291096274961952732237841404
y[1] (numeric) = 1.1482910962749619527322378414031
absolute error = 9e-31
relative error = 7.8377338544171045234630155130831e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.035
y[1] (analytic) = 1.148870244899164706907073607991
y[1] (numeric) = 1.148870244899164706907073607991
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.036
y[1] (analytic) = 1.14944949840715395031608962697
y[1] (numeric) = 1.1494494984071539503160896269696
absolute error = 4e-31
relative error = 3.4799267001664601163858974285771e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.037
y[1] (analytic) = 1.150028856786425175987958775331
y[1] (numeric) = 1.1500288567864251759879587753307
absolute error = 3e-31
relative error = 2.6086301941874991878017649293486e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.038
y[1] (analytic) = 1.150608320024480916893315032951
y[1] (numeric) = 1.1506083200244809168933150329513
absolute error = 3e-31
relative error = 2.6073164497334509997976567590581e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=629.4MB, alloc=4.4MB, time=58.54
x[1] = 1.039
y[1] (analytic) = 1.15118788810883074004818759705
y[1] (numeric) = 1.1511878881088307400481875970496
absolute error = 4e-31
relative error = 3.4746717206790564367143418944080e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.04
y[1] (analytic) = 1.151767561026991240624284468915
y[1] (numeric) = 1.1517675610269912406242844689148
absolute error = 2e-31
relative error = 1.7364614768423146712010486217299e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.041
y[1] (analytic) = 1.152347338766486036066115324615
y[1] (numeric) = 1.1523473387664860360661153246154
absolute error = 4e-31
relative error = 3.4711756303283900592655276491097e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.042
y[1] (analytic) = 1.152927221314845760214943499875
y[1] (numeric) = 1.152927221314845760214943499875
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.043
y[1] (analytic) = 1.153507208659608057439556937747
y[1] (numeric) = 1.1535072086596080574395569377481
absolute error = 1.1e-30
relative error = 9.5361345966638197055916663856197e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.044
y[1] (analytic) = 1.154087300788317576773847966136
y[1] (numeric) = 1.154087300788317576773847966136
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=633.2MB, alloc=4.4MB, time=58.93
x[1] = 1.045
y[1] (analytic) = 1.154667497688525966061191790547
y[1] (numeric) = 1.154667497688525966061191790547
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.046
y[1] (analytic) = 1.155247799347791866105613605834
y[1] (numeric) = 1.1552477993477918661056136058334
absolute error = 6e-31
relative error = 5.1936909149598618232990357043359e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.047
y[1] (analytic) = 1.155828205753680904829734248923
y[1] (numeric) = 1.1558282057536809048297342489233
absolute error = 3e-31
relative error = 2.5955414351943332120015776097296e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.048
y[1] (analytic) = 1.156408716893765691439484332816
y[1] (numeric) = 1.156408716893765691439484332816
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.049
y[1] (analytic) = 1.156989332755625810595576820317
y[1] (numeric) = 1.1569893327556258105955768203171
absolute error = 1e-31
relative error = 8.6431220382843027836534361041485e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=637.0MB, alloc=4.4MB, time=59.32
x[1] = 1.05
y[1] (analytic) = 1.157570053326847816591728014162
y[1] (numeric) = 1.1575700533268478165917280141618
absolute error = 2e-31
relative error = 1.7277572050624622801335615756900e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.051
y[1] (analytic) = 1.158150878595025227539616958305
y[1] (numeric) = 1.1581508785950252275396169583045
absolute error = 5e-31
relative error = 4.3172267900582994221115897253242e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.052
y[1] (analytic) = 1.158731808547758519560573263248
y[1] (numeric) = 1.1587318085477585195605732632479
absolute error = 1e-31
relative error = 8.6301246985987422479321586091122e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.053
y[1] (analytic) = 1.159312843172655120983983386338
y[1] (numeric) = 1.1593128431726551209839833863376
absolute error = 4e-31
relative error = 3.4503197506665460325752986612522e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.054
y[1] (analytic) = 1.159893982457329406552405415966
y[1] (numeric) = 1.1598939824573294065524054159652
absolute error = 8e-31
relative error = 6.8971820881865010044735167338663e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.055
y[1] (analytic) = 1.160475226389402691633382426598
y[1] (numeric) = 1.1604752263894026916333824265989
absolute error = 9e-31
relative error = 7.7554434556968383257335906974843e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=640.8MB, alloc=4.4MB, time=59.73
x[1] = 1.056
y[1] (analytic) = 1.161056574956503226437944489501
y[1] (numeric) = 1.1610565749565032264379444895014
absolute error = 4e-31
relative error = 3.4451378910195245074390399383806e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.057
y[1] (analytic) = 1.161638028146266190245789441895
y[1] (numeric) = 1.1616380281462661902457894418947
absolute error = 3e-31
relative error = 2.5825600809465397218203776299320e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.058
y[1] (analytic) = 1.162219585946333685637132535193
y[1] (numeric) = 1.1622195859463336856371325351937
absolute error = 7e-31
relative error = 6.0229582125827553975078858113360e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.059
y[1] (analytic) = 1.162801248344354732731215100756
y[1] (numeric) = 1.1628012483443547327312151007563
absolute error = 3e-31
relative error = 2.5799765903859546345833066845459e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.06
y[1] (analytic) = 1.163383015327985263431462389384
y[1] (numeric) = 1.1633830153279852634314623893839
absolute error = 1e-31
relative error = 8.5956214490382282525244433286654e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.061
y[1] (analytic) = 1.163964886884888115677280758556
y[1] (numeric) = 1.1639648868848881156772807585543
absolute error = 1.7e-30
relative error = 1.4605251577216382155401518513050e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=644.7MB, alloc=4.4MB, time=60.14
x[1] = 1.062
y[1] (analytic) = 1.164546863002733027702484399083
y[1] (numeric) = 1.1645468630027330277024843990817
absolute error = 1.3e-30
relative error = 1.1163140284865883347757334480526e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.063
y[1] (analytic) = 1.165128943669196632300341810569
y[1] (numeric) = 1.1651289436691966323003418105693
absolute error = 3e-31
relative error = 2.5748223115567540925248809045195e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.064
y[1] (analytic) = 1.165711128871962451095232252658
y[1] (numeric) = 1.165711128871962451095232252659
absolute error = 1.0e-30
relative error = 8.5784546036519518386123401299807e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.065
y[1] (analytic) = 1.166293418598720888820902416679
y[1] (numeric) = 1.1662934185987208888209024166784
absolute error = 6e-31
relative error = 5.1445030078356136162356834169477e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.066
y[1] (analytic) = 1.166875812837169227605313579847
y[1] (numeric) = 1.1668758128371692276053135798471
absolute error = 1e-31
relative error = 8.5698922627299690001197820509622e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.067
y[1] (analytic) = 1.167458311575011621262069521727
y[1] (numeric) = 1.1674583115750116212620695217278
absolute error = 8e-31
relative error = 6.8524930789239435591296524630430e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=648.5MB, alloc=4.4MB, time=60.55
TOP MAIN SOLVE Loop
x[1] = 1.068
y[1] (analytic) = 1.168040914799959089588415500095
y[1] (numeric) = 1.1680409147999590895884155000947
absolute error = 3e-31
relative error = 2.5684031800493784162013592149949e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.069
y[1] (analytic) = 1.168623622499729512669798600839
y[1] (numeric) = 1.1686236224997295126697986008399
absolute error = 9e-31
relative error = 7.7013675119356772392620390261054e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.07
y[1] (analytic) = 1.16920643466204762519097979395
y[1] (numeric) = 1.1692064346620476251909797939509
absolute error = 9e-31
relative error = 7.6975286255599491967972260647909e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.071
y[1] (analytic) = 1.169789351274645010753688044968
y[1] (numeric) = 1.1697893512746450107536880449678
absolute error = 2e-31
relative error = 1.7097095283186902666625748729900e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.072
y[1] (analytic) = 1.170372372325260096200806848668
y[1] (numeric) = 1.1703723723252600962008068486677
absolute error = 3e-31
relative error = 2.5632867546588540827153147616941e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=652.3MB, alloc=4.4MB, time=60.95
x[1] = 1.073
y[1] (analytic) = 1.170955497801638145947083569024
y[1] (numeric) = 1.1709554978016381459470835690243
absolute error = 3e-31
relative error = 2.5620102605369936145794616082717e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.074
y[1] (analytic) = 1.171538727691531256316351986756
y[1] (numeric) = 1.1715387276915312563163519867559
absolute error = 1e-31
relative error = 8.5357826964069617720032188267019e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.075
y[1] (analytic) = 1.172122061982698349885258473004
y[1] (numeric) = 1.1721220619826983498852584730041
absolute error = 1e-31
relative error = 8.5315346620850564859218435496836e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.076
y[1] (analytic) = 1.172705500662905169833482224877
y[1] (numeric) = 1.1727055006629051698334822248768
absolute error = 2e-31
relative error = 1.7054580189735982838730036475506e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.077
y[1] (analytic) = 1.173289043719924274300440015744
y[1] (numeric) = 1.173289043719924274300440015744
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.078
y[1] (analytic) = 1.173872691141535030748465930297
y[1] (numeric) = 1.1738726911415350307484659302954
absolute error = 1.6e-30
relative error = 1.3630098153523586518750039208336e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=656.1MB, alloc=4.4MB, time=61.35
x[1] = 1.079
y[1] (analytic) = 1.17445644291552361033245657145
y[1] (numeric) = 1.17445644291552361033245657145
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.08
y[1] (analytic) = 1.175040299029682982275972243257
y[1] (numeric) = 1.1750402990296829822759722432562
absolute error = 8e-31
relative error = 6.8082771345001419653324802211930e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.081
y[1] (analytic) = 1.175624259471812908253784630931
y[1] (numeric) = 1.1756242594718129082537846309307
absolute error = 3e-31
relative error = 2.5518357381871710415087372670489e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.082
y[1] (analytic) = 1.176208324229719936780861516159
y[1] (numeric) = 1.1762083242297199367808615161586
absolute error = 4e-31
relative error = 3.4007581119777707520368343643948e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.083
y[1] (analytic) = 1.176792493291217397607779082719
y[1] (numeric) = 1.1767924932912173976077790827184
absolute error = 6e-31
relative error = 5.0986049233024785643373764497782e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.084
y[1] (analytic) = 1.177376766644125396122552384395
y[1] (numeric) = 1.1773767666441253961225523843951
absolute error = 1e-31
relative error = 8.4934579000594513733371768805531e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=659.9MB, alloc=4.4MB, time=61.75
x[1] = 1.085
y[1] (analytic) = 1.177961144276270807758874564015
y[1] (numeric) = 1.177961144276270807758874564015
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.086
y[1] (analytic) = 1.178545626175487272410755429267
y[1] (numeric) = 1.1785456261754872724107554292663
absolute error = 7e-31
relative error = 5.9395239730478530820592422426773e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.087
y[1] (analytic) = 1.179130212329615188853550007765
y[1] (numeric) = 1.1791302123296151888535500077649
absolute error = 1e-31
relative error = 8.4808275586823742776005791476025e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.088
y[1] (analytic) = 1.179714902726501709171367720588
y[1] (numeric) = 1.1797149027265017091713677205876
absolute error = 4e-31
relative error = 3.3906497160927506754993961401868e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.089
y[1] (analytic) = 1.180299697354000733190852830219
y[1] (numeric) = 1.1802996973540007331908528302182
absolute error = 8e-31
relative error = 6.7779395503823504155668427460273e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=663.7MB, alloc=4.4MB, time=62.15
x[1] = 1.09
y[1] (analytic) = 1.180884596199972902921326835543
y[1] (numeric) = 1.1808845961999729029213268355439
absolute error = 9e-31
relative error = 7.6214051982399857455404216521258e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.091
y[1] (analytic) = 1.181469599252285597001283503193
y[1] (numeric) = 1.1814695992522855970012835031927
absolute error = 3e-31
relative error = 2.5392104899682600852317283439254e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.092
y[1] (analytic) = 1.182054706498812925151227241124
y[1] (numeric) = 1.1820547064988129251512272411236
absolute error = 4e-31
relative error = 3.3839381358649638673477827513406e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.093
y[1] (analytic) = 1.182639917927435722632845536966
y[1] (numeric) = 1.1826399179274357226328455369654
absolute error = 6e-31
relative error = 5.0733954680939048735373657192097e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.094
y[1] (analytic) = 1.183225233526041544714506200149
y[1] (numeric) = 1.1832252335260415447145062001505
absolute error = 1.5e-30
relative error = 1.2677214426284347623036500342405e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.095
y[1] (analytic) = 1.183810653282524661143070163404
y[1] (numeric) = 1.1838106532825246611430701634044
absolute error = 4e-31
relative error = 3.3789187391654365592090301598690e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=667.5MB, alloc=4.4MB, time=62.55
x[1] = 1.096
y[1] (analytic) = 1.184396177184786050622010615632
y[1] (numeric) = 1.1843961771847860506220106156321
absolute error = 1e-31
relative error = 8.4431208008195293695987771140532e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.097
y[1] (analytic) = 1.184981805220733395295829254688
y[1] (numeric) = 1.1849818052207333952958292546886
absolute error = 6e-31
relative error = 5.0633688834423456778077019577316e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.098
y[1] (analytic) = 1.185567537378281075240760464932
y[1] (numeric) = 1.185567537378281075240760464931
absolute error = 1.0e-30
relative error = 8.4347788588355070520640190779138e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.099
y[1] (analytic) = 1.186153373645350162961754240829
y[1] (numeric) = 1.186153373645350162961754240827
absolute error = 2.0e-30
relative error = 1.6861225912577331691812560927704e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.1
y[1] (analytic) = 1.186739314009868417895728694237
y[1] (numeric) = 1.186739314009868417895728694236
absolute error = 1.0e-30
relative error = 8.4264504276099546709739349002302e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.101
y[1] (analytic) = 1.187325358459770280921082999287
y[1] (numeric) = 1.1873253584597702809210829992866
absolute error = 4e-31
relative error = 3.3689165075939297094536282025757e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=671.4MB, alloc=4.4MB, time=62.95
x[1] = 1.102
y[1] (analytic) = 1.187911506982996868873461645049
y[1] (numeric) = 1.1879115069829968688734616450489
absolute error = 1e-31
relative error = 8.4181354766042641435155882814047e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.103
y[1] (analytic) = 1.188497759567495969067760882438
y[1] (numeric) = 1.1884977595674959690677608824377
absolute error = 3e-31
relative error = 2.5241949139994378072394629574622e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.104
y[1] (analytic) = 1.189084116201222033826368267989
y[1] (numeric) = 1.1890841162012220338263682679893
absolute error = 3e-31
relative error = 2.5229501926105342332234810068597e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.105
y[1] (analytic) = 1.189670576872136175013626223325
y[1] (numeric) = 1.1896705768721361750136262233245
absolute error = 5e-31
relative error = 4.2028441294613876343807898680438e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.106
y[1] (analytic) = 1.190257141568206158576510545249
y[1] (numeric) = 1.1902571415682061585765105452492
absolute error = 2e-31
relative error = 1.6803091787081645211867562938491e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.107
y[1] (analytic) = 1.190843810277406399091514817546
y[1] (numeric) = 1.1908438102774063990915148175457
absolute error = 3e-31
relative error = 2.5192220626323377194976262964852e-29 %
Correct digits = 30
h = 0.001
memory used=675.2MB, alloc=4.4MB, time=63.35
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.108
y[1] (analytic) = 1.19143058298771795431773169158
y[1] (numeric) = 1.1914305829877179543177316915787
absolute error = 1.3e-30
relative error = 1.0911252561102011347652490116219e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.109
y[1] (analytic) = 1.192017459687128519756122018875
y[1] (numeric) = 1.1920174596871285197561220188754
absolute error = 4e-31
relative error = 3.3556555463960141305224674369480e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.11
y[1] (analytic) = 1.192604440363632423214962834842
y[1] (numeric) = 1.1926044403636324232149628348417
absolute error = 3e-31
relative error = 2.5155029601309228422822075710801e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.111
y[1] (analytic) = 1.193191525005230619381465208745
y[1] (numeric) = 1.1931915250052306193814652087449
absolute error = 1e-31
relative error = 8.3808842004272220963582772874639e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.112
y[1] (analytic) = 1.19377871359993068439955299103
y[1] (numeric) = 1.1937787135999306843995529910297
absolute error = 3e-31
relative error = 2.5130285586624939733583503664467e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=679.0MB, alloc=4.4MB, time=63.76
x[1] = 1.113
y[1] (analytic) = 1.194366006135746810453793504935
y[1] (numeric) = 1.1943660061357468104537935049345
absolute error = 5e-31
relative error = 4.1863214243488107272120964438663e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.114
y[1] (analytic) = 1.194953402600699800359471245246
y[1] (numeric) = 1.1949534026006998003594712452461
absolute error = 1e-31
relative error = 8.3685271561518408129497718910485e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.115
y[1] (analytic) = 1.195540902982817062158795662865
y[1] (numeric) = 1.1955409029828170621587956628647
absolute error = 3e-31
relative error = 2.5093244342499234137680788941133e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.116
y[1] (analytic) = 1.196128507270132603723234129654
y[1] (numeric) = 1.1961285072701326037232341296541
absolute error = 1e-31
relative error = 8.3603057190088429588794143179559e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.117
y[1] (analytic) = 1.196716215450687027361961193821
y[1] (numeric) = 1.1967162154506870273619611938215
absolute error = 5e-31
relative error = 4.1780999834760194491274053730074e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.118
y[1] (analytic) = 1.197304027512527524436415251808
y[1] (numeric) = 1.1973040275125275244364152518077
absolute error = 3e-31
relative error = 2.5056292562822859695620014014557e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=682.8MB, alloc=4.4MB, time=64.18
x[1] = 1.119
y[1] (analytic) = 1.197891943443707869980953778372
y[1] (numeric) = 1.1978919434437078699809537783718
absolute error = 2e-31
relative error = 1.6695996754518495699443635920742e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.12
y[1] (analytic) = 1.198479963232288417329598272226
y[1] (numeric) = 1.1984799632322884173295982722262
absolute error = 2e-31
relative error = 1.6687805064391899368690197210711e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.121
y[1] (analytic) = 1.199068086866336092748860090215
y[1] (numeric) = 1.1990680868663360927488600902141
absolute error = 9e-31
relative error = 7.5058289838408971259186113174396e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.122
y[1] (analytic) = 1.199656314333924390076638358628
y[1] (numeric) = 1.1996563143339243900766383586286
absolute error = 6e-31
relative error = 5.0014324338644707245814484981747e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.123
y[1] (analytic) = 1.200244645623133365367181165845
y[1] (numeric) = 1.2002446456231333653671811658448
absolute error = 2e-31
relative error = 1.6663269503374089868438601368164e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.124
y[1] (analytic) = 1.200833080722049631542101255976
y[1] (numeric) = 1.2008330807220496315421012559765
absolute error = 5e-31
relative error = 4.1637760320473075660410764007442e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=686.6MB, alloc=4.4MB, time=64.59
x[1] = 1.125
y[1] (analytic) = 1.201421619618766353047437458778
y[1] (numeric) = 1.2014216196187663530474374587774
absolute error = 6e-31
relative error = 4.9940835939875234655106541270924e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.126
y[1] (analytic) = 1.202010262301383240516753106482
y[1] (numeric) = 1.2020102623013832405167531064817
absolute error = 3e-31
relative error = 2.4958189576985508255050701133675e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.127
y[1] (analytic) = 1.202599008758006545440262703723
y[1] (numeric) = 1.2025990087580065454402627037231
absolute error = 1e-31
relative error = 8.3153236674688245149494589921034e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.128
y[1] (analytic) = 1.203187858976749054839978132082
y[1] (numeric) = 1.2031878589767490548399781320823
absolute error = 3e-31
relative error = 2.4933762235195338301999564211207e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.129
y[1] (analytic) = 1.203776812945730085950865686191
y[1] (numeric) = 1.2037768129457300859508656861914
absolute error = 4e-31
relative error = 3.3228751019150359279905297720040e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=690.4MB, alloc=4.4MB, time=64.99
x[1] = 1.13
y[1] (analytic) = 1.204365870653075480908005253671
y[1] (numeric) = 1.2043658706530754809080052536719
absolute error = 9e-31
relative error = 7.4728122236805743783528079904678e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.131
y[1] (analytic) = 1.204955032086917601439742966497
y[1] (numeric) = 1.2049550320869176014397429664969
absolute error = 1e-31
relative error = 8.2990648893183469319937769642888e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.132
y[1] (analytic) = 1.205544297235395323566828666652
y[1] (numeric) = 1.2055442972353953235668286666522
absolute error = 2e-31
relative error = 1.6590016680320115732385204572153e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.133
y[1] (analytic) = 1.206133666086654032307529544223
y[1] (numeric) = 1.2061336660866540323075295442223
absolute error = 7e-31
relative error = 5.8036685293030272813557158420505e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.134
y[1] (analytic) = 1.206723138628845616388711321247
y[1] (numeric) = 1.2067231386288456163887113212473
absolute error = 3e-31
relative error = 2.4860714972357187344611917260014e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.135
y[1] (analytic) = 1.207312714850128462962878369884
y[1] (numeric) = 1.2073127148501284629628783698836
absolute error = 4e-31
relative error = 3.3131432733204883664268722326680e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=694.2MB, alloc=4.4MB, time=65.39
x[1] = 1.136
y[1] (analytic) = 1.20790239473866745233116416856
y[1] (numeric) = 1.2079023947386674523311641685598
absolute error = 2e-31
relative error = 1.6557629231563074622797123269297e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.137
y[1] (analytic) = 1.208492178282633952672263514943
y[1] (numeric) = 1.2084921782826339526722635149425
absolute error = 5e-31
relative error = 4.1373871423027397685279646516909e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.138
y[1] (analytic) = 1.209082065470205814777297929623
y[1] (numeric) = 1.2090820654702058147772979296219
absolute error = 1.1e-30
relative error = 9.0978109047727512282894895503236e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.139
y[1] (analytic) = 1.209672056289567366790605699488
y[1] (numeric) = 1.2096720562895673667906056994881
absolute error = 1e-31
relative error = 8.2667033168254260215032157003608e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.14
y[1] (analytic) = 1.210262150728909408956448024801
y[1] (numeric) = 1.2102621507289094089564480248005
absolute error = 5e-31
relative error = 4.1313363365024925159889292669441e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.141
y[1] (analytic) = 1.210852348776429208371622748954
y[1] (numeric) = 1.2108523487764292083716227489535
absolute error = 5e-31
relative error = 4.1293226255476306040371343264777e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=698.1MB, alloc=4.4MB, time=65.80
x[1] = 1.142
y[1] (analytic) = 1.21144265042033049374397716491
y[1] (numeric) = 1.2114426504203304937439771649091
absolute error = 9e-31
relative error = 7.4291589427508582048775056637449e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.143
y[1] (analytic) = 1.212033055648823450156811407206
y[1] (numeric) = 1.2120330556488234501568114072054
absolute error = 6e-31
relative error = 4.9503600351791480822745967517403e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.144
y[1] (analytic) = 1.212623564450124713839163953356
y[1] (numeric) = 1.212623564450124713839163953357
absolute error = 1.0e-30
relative error = 8.2465822809031356664757638577518e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.145
y[1] (analytic) = 1.213214176812457366941970773338
y[1] (numeric) = 1.2132141768124573669419707733384
absolute error = 4e-31
relative error = 3.2970270842938996917541912519332e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.146
y[1] (analytic) = 1.213804892724050932320089680689
y[1] (numeric) = 1.2138048927240509323200896806881
absolute error = 9e-31
relative error = 7.4147007100968077478962536239403e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.147
y[1] (analytic) = 1.214395712173141368320181453583
y[1] (numeric) = 1.2143957121731413683201814535829
absolute error = 1e-31
relative error = 8.2345481787852846608426246074143e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=701.9MB, alloc=4.4MB, time=66.20
TOP MAIN SOLVE Loop
x[1] = 1.148
y[1] (analytic) = 1.21498663514797106357443930902
y[1] (numeric) = 1.2149866351479710635744393090187
absolute error = 1.3e-30
relative error = 1.0699706172831072415600845415551e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.149
y[1] (analytic) = 1.215577661636788831800158327984
y[1] (numeric) = 1.2155776616367888318001583279844
absolute error = 4e-31
relative error = 3.2906165736987594379065570667295e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.15
y[1] (analytic) = 1.216168791627849906605136444239
y[1] (numeric) = 1.2161687916278499066051364442395
absolute error = 5e-31
relative error = 4.1112714241807399087416280774763e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.151
y[1] (analytic) = 1.216760025109415936298898623998
y[1] (numeric) = 1.2167600251094159362988986239983
absolute error = 3e-31
relative error = 2.4655642345993639795704442608313e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.152
y[1] (analytic) = 1.217351362069754978709735878485
y[1] (numeric) = 1.2173513620697549787097358784838
absolute error = 1.2e-30
relative error = 9.8574662779343016413783364339427e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=705.7MB, alloc=4.4MB, time=66.60
x[1] = 1.153
y[1] (analytic) = 1.217942802497141496007550765948
y[1] (numeric) = 1.2179428024971414960075507659481
absolute error = 1e-31
relative error = 8.2105661936644762398395622657826e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.154
y[1] (analytic) = 1.218534346379856349532501054355
y[1] (numeric) = 1.2185343463798563495325010543549
absolute error = 1e-31
relative error = 8.2065803312881575134622076060377e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.155
y[1] (analytic) = 1.219125993706186794629433230493
y[1] (numeric) = 1.2191259937061867946294332304928
absolute error = 2e-31
relative error = 1.6405195281907887045272414252450e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.156
y[1] (analytic) = 1.219717744464426475488097555828
y[1] (numeric) = 1.2197177444644264754880975558269
absolute error = 1.1e-30
relative error = 9.0184799310516377560885486489510e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.157
y[1] (analytic) = 1.220309598642875419989136383909
y[1] (numeric) = 1.2203095986428754199891363839098
absolute error = 8e-31
relative error = 6.5557134098567443934091978369752e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.158
y[1] (analytic) = 1.220901556229840034555837468651
y[1] (numeric) = 1.2209015562298400345558374686515
absolute error = 5e-31
relative error = 4.0953342834946212704834085467884e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=709.5MB, alloc=4.4MB, time=67.00
x[1] = 1.159
y[1] (analytic) = 1.2214936172136330990116440072
y[1] (numeric) = 1.2214936172136330990116440072003
absolute error = 3e-31
relative error = 2.4560095588901591998512051958970e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.16
y[1] (analytic) = 1.222085781582573761443413175608
y[1] (numeric) = 1.2220857815825737614434131756075
absolute error = 5e-31
relative error = 4.0913658233754358875362326858353e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.161
y[1] (analytic) = 1.22267804932498753307041492984
y[1] (numeric) = 1.222678049324987533070414929841
absolute error = 1.0e-30
relative error = 8.1787679148413356293110753953709e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.162
y[1] (analytic) = 1.223270420429206283119062859074
y[1] (numeric) = 1.2232704204292062831190628590736
absolute error = 4e-31
relative error = 3.2699229321645237953190082239469e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.163
y[1] (analytic) = 1.223862894883568233703368892505
y[1] (numeric) = 1.2238628948835682337033688925052
absolute error = 2e-31
relative error = 1.6341699779943645541821991862077e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.164
y[1] (analytic) = 1.224455472676417954711113675281
y[1] (numeric) = 1.2244554726764179547111136752806
absolute error = 4e-31
relative error = 3.2667582360155486940064709717311e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=713.3MB, alloc=4.4MB, time=67.41
x[1] = 1.165
y[1] (analytic) = 1.225048153796106358695724443337
y[1] (numeric) = 1.2250481537961063586957244433375
absolute error = 5e-31
relative error = 4.0814722135667054207130680631116e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.166
y[1] (analytic) = 1.225640938230990695773852241264
y[1] (numeric) = 1.2256409382309906957738522412638
absolute error = 2e-31
relative error = 1.6317992795562688271204161118181e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.167
y[1] (analytic) = 1.226233825969434548528640341458
y[1] (numeric) = 1.2262338259694345485286403414581
absolute error = 1e-31
relative error = 8.1550514985135166470479128306519e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.168
y[1] (analytic) = 1.226826816999807826918675737072
y[1] (numeric) = 1.2268268169998078269186757370716
absolute error = 4e-31
relative error = 3.2604438903462823225430788022245e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.169
y[1] (analytic) = 1.227419911310486763192615595368
y[1] (numeric) = 1.2274199113104867631926155953677
absolute error = 3e-31
relative error = 2.4441513229135838639622752177407e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=717.1MB, alloc=4.4MB, time=67.81
x[1] = 1.17
y[1] (analytic) = 1.228013108889853906809480572261
y[1] (numeric) = 1.2280131088898539068094805722607
absolute error = 3e-31
relative error = 2.4429706639793563265751549114054e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.171
y[1] (analytic) = 1.228606409726298119364606902894
y[1] (numeric) = 1.228606409726298119364606902895
absolute error = 1.0e-30
relative error = 8.1393031330739537445388131622411e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.172
y[1] (analytic) = 1.229199813808214569521249197193
y[1] (numeric) = 1.2291998138082145695212491971933
absolute error = 3e-31
relative error = 2.4406121497086997214299548997726e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.173
y[1] (analytic) = 1.229793321124004727947825883346
y[1] (numeric) = 1.2297933211240047279478258833453
absolute error = 7e-31
relative error = 5.6920133487163111965031077359106e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.174
y[1] (analytic) = 1.230386931662076362260799256216
y[1] (numeric) = 1.2303869316620763622607992562162
absolute error = 2e-31
relative error = 1.6255049111244108473106711379906e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.175
y[1] (analytic) = 1.230980645410843531973182101641
y[1] (numeric) = 1.2309806454108435319731821016414
absolute error = 4e-31
relative error = 3.2494418290914621504830131100455e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=721.0MB, alloc=4.4MB, time=68.22
x[1] = 1.176
y[1] (analytic) = 1.231574462358726583448662881523
y[1] (numeric) = 1.2315744623587265834486628815226
absolute error = 4e-31
relative error = 3.2478750755672139543550437481332e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.177
y[1] (analytic) = 1.232168382494152144861341478571
y[1] (numeric) = 1.2321683824941521448613414785714
absolute error = 4e-31
relative error = 3.2463095603079913861074286839204e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.178
y[1] (analytic) = 1.232762405805553121161067513439
y[1] (numeric) = 1.2327624058055531211610675134381
absolute error = 9e-31
relative error = 7.3006768843822074126258374903158e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.179
y[1] (analytic) = 1.233356532281368689044373260835
y[1] (numeric) = 1.2333565322813686890443732608355
absolute error = 5e-31
relative error = 4.0539777989024649535060958211827e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.18
y[1] (analytic) = 1.233950761910044291930993205106
y[1] (numeric) = 1.2339507619100442919309932051056
absolute error = 4e-31
relative error = 3.2416204304686853146201705538356e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.181
y[1] (analytic) = 1.234545094680031634945962289489
y[1] (numeric) = 1.2345450946800316349459622894892
absolute error = 2e-31
relative error = 1.6200299273137190077136730442389e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=724.8MB, alloc=4.4MB, time=68.62
x[1] = 1.182
y[1] (analytic) = 1.235139530579788679907284927141
y[1] (numeric) = 1.2351395305797886799072849271406
absolute error = 4e-31
relative error = 3.2385005102398059143075068257659e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.183
y[1] (analytic) = 1.235734069597779640319166855686
y[1] (numeric) = 1.2357340695977796403191668556868
absolute error = 8e-31
relative error = 6.4738847918985743182833181840515e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.184
y[1] (analytic) = 1.236328711722474976370801930855
y[1] (numeric) = 1.236328711722474976370801930855
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.185
y[1] (analytic) = 1.236923456942351389940705968392
y[1] (numeric) = 1.2369234569423513899407059683925
absolute error = 5e-31
relative error = 4.0422873153039673053816045098116e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.186
y[1] (analytic) = 1.237518305245891819606589757173
y[1] (numeric) = 1.2375183052458918196065897571738
absolute error = 8e-31
relative error = 6.4645508402483144125710796924254e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=728.6MB, alloc=4.4MB, time=69.02
x[1] = 1.187
y[1] (analytic) = 1.238113256621585435660763380032
y[1] (numeric) = 1.2381132566215854356607633800319
absolute error = 1e-31
relative error = 8.0768055317385078662036843249194e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.188
y[1] (analytic) = 1.238708311057927635131063992465
y[1] (numeric) = 1.2387083110579276351310639924655
absolute error = 5e-31
relative error = 4.0364627857624645068892525023238e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.189
y[1] (analytic) = 1.239303468543420036807299222962
y[1] (numeric) = 1.2393034685434200368072992229624
absolute error = 4e-31
relative error = 3.2276194665228249895466369840078e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.19
y[1] (analytic) = 1.239898729066570476273198372237
y[1] (numeric) = 1.2398987290665704762731983722369
absolute error = 1e-31
relative error = 8.0651748127270622208131612491031e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.191
y[1] (analytic) = 1.240494092615893000943863602212
y[1] (numeric) = 1.2404940926158930009438636022119
absolute error = 1e-31
relative error = 8.0613040074318219996343371655482e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.192
y[1] (analytic) = 1.241089559179907865108713319079
y[1] (numeric) = 1.2410895591799078651087133190795
absolute error = 5e-31
relative error = 4.0287181235364835772256864753548e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=732.4MB, alloc=4.4MB, time=69.43
x[1] = 1.193
y[1] (analytic) = 1.241685128747141524979909968252
y[1] (numeric) = 1.2416851287471415249799099682517
absolute error = 3e-31
relative error = 2.4160714584920539420697737225748e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.194
y[1] (analytic) = 1.24228080130612663374626447246
y[1] (numeric) = 1.2422808013061266337462644724599
absolute error = 1e-31
relative error = 8.0497098477945240511372174086810e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.195
y[1] (analytic) = 1.242876576845402036632609557685
y[1] (numeric) = 1.2428765768454020366326095576851
absolute error = 1e-31
relative error = 8.0458512022017711654223762631452e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.196
y[1] (analytic) = 1.243472455353512765964634224994
y[1] (numeric) = 1.2434724553535127659646342249938
absolute error = 2e-31
relative error = 1.6083991176398116347081231313722e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.197
y[1] (analytic) = 1.244068436819010036239171639722
y[1] (numeric) = 1.244068436819010036239171639722
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.198
y[1] (analytic) = 1.24466452123045123919993272279
y[1] (numeric) = 1.2446645212304512391999327227893
absolute error = 7e-31
relative error = 5.6240054091683561246059070860674e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=736.2MB, alloc=4.4MB, time=69.83
x[1] = 1.199
y[1] (analytic) = 1.245260708576399938918677742236
y[1] (numeric) = 1.2452607085763999389186777422367
absolute error = 7e-31
relative error = 5.6213128317543249964440600177834e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.2
y[1] (analytic) = 1.245856998845425866881818216369
y[1] (numeric) = 1.2458569988454258668818182163687
absolute error = 3e-31
relative error = 2.4079810144986082611244874444158e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.201
y[1] (analytic) = 1.246453392026104917082441453137
y[1] (numeric) = 1.2464533920261049170824414531368
absolute error = 2e-31
relative error = 1.6045525751660943677474233223350e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.202
y[1] (analytic) = 1.247049888107019141117750063634
y[1] (numeric) = 1.2470498881070191411177500636337
absolute error = 3e-31
relative error = 2.4056776145130021036404765623502e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.203
y[1] (analytic) = 1.247646487076756743291908800773
y[1] (numeric) = 1.2476464870767567432919088007723
absolute error = 7e-31
relative error = 5.6105636272026399798165634189538e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=740.0MB, alloc=4.4MB, time=70.23
x[1] = 1.204
y[1] (analytic) = 1.2482431889239120757242910874
y[1] (numeric) = 1.2482431889239120757242910873996
absolute error = 4e-31
relative error = 3.2045037661678152684888399164240e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.205
y[1] (analytic) = 1.248839993637085633463117611249
y[1] (numeric) = 1.2488399936370856334631176112483
absolute error = 7e-31
relative error = 5.6052016556687951556574870184898e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.206
y[1] (analytic) = 1.249436901204884049604479377251
y[1] (numeric) = 1.2494369012048840496044793772509
absolute error = 1e-31
relative error = 8.0036054564712979472355545405766e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.207
y[1] (analytic) = 1.25003391161592009041673762084
y[1] (numeric) = 1.2500339116159200904167376208404
absolute error = 4e-31
relative error = 3.1999131886183759534348014163491e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.208
y[1] (analytic) = 1.25063102485881265047029299893
y[1] (numeric) = 1.2506310248588126504702929989305
absolute error = 5e-31
relative error = 3.9979817393099331157575732326356e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.209
y[1] (analytic) = 1.251228240922186747772716488314
y[1] (numeric) = 1.2512282409221867477727164883134
absolute error = 6e-31
relative error = 4.7952881846543431471469008142041e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=743.8MB, alloc=4.4MB, time=70.63
x[1] = 1.21
y[1] (analytic) = 1.251825559794673518909234434231
y[1] (numeric) = 1.2518255597946735189092344342319
absolute error = 9e-31
relative error = 7.1895001101241252482601954185376e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.211
y[1] (analytic) = 1.252422981464910214188560204871
y[1] (numeric) = 1.2524229814649102141885602048708
absolute error = 2e-31
relative error = 1.5969045838337126040736353091069e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.212
y[1] (analytic) = 1.253020505921540192794064920482
y[1] (numeric) = 1.2530205059215401927940649204814
absolute error = 6e-31
relative error = 4.7884292169562460721466067897099e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.213
y[1] (analytic) = 1.253618133153212917940279738788
y[1] (numeric) = 1.2536181331532129179402797387879
absolute error = 1e-31
relative error = 7.9769107797181442199912013413258e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.214
y[1] (analytic) = 1.25421586314858395203472219124
y[1] (numeric) = 1.2542158631485839520347221912396
absolute error = 4e-31
relative error = 3.1892436681181806833751446360543e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.215
y[1] (analytic) = 1.254813695896314951845039077558
y[1] (numeric) = 1.2548136958963149518450390775573
absolute error = 7e-31
relative error = 5.5785173710587303330258761082863e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=747.7MB, alloc=4.4MB, time=71.03
x[1] = 1.216
y[1] (analytic) = 1.255411631385073663671458438884
y[1] (numeric) = 1.2554116313850736636714584388831
absolute error = 9e-31
relative error = 7.1689633702616389176076260843572e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.217
y[1] (analytic) = 1.256009669603533918524543142678
y[1] (numeric) = 1.2560096696035339185245431426766
absolute error = 1.4e-30
relative error = 1.1146411002089795926900357181725e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.218
y[1] (analytic) = 1.256607810540375627308238625309
y[1] (numeric) = 1.2566078105403756273082386253089
absolute error = 1e-31
relative error = 7.9579323923664992113954797351786e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.219
y[1] (analytic) = 1.257206054184284776008207351087
y[1] (numeric) = 1.2572060541842847760082073510875
absolute error = 5e-31
relative error = 3.9770727983362749780317754978330e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.22
y[1] (analytic) = 1.257804400523953420885442559201
y[1] (numeric) = 1.2578044005239534208854425592014
absolute error = 4e-31
relative error = 3.1801447016195461748072464841356e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.221
y[1] (analytic) = 1.258402849548079683675153882807
y[1] (numeric) = 1.2584028495480796836751538828064
absolute error = 6e-31
relative error = 4.7679485167684837982674578809181e-29 %
Correct digits = 30
h = 0.001
memory used=751.5MB, alloc=4.4MB, time=71.43
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.222
y[1] (analytic) = 1.259001401245367746790917437177
y[1] (numeric) = 1.2590014012453677467909174371756
absolute error = 1.4e-30
relative error = 1.1119924081221518262396765419751e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.223
y[1] (analytic) = 1.259600055604527848534082986518
y[1] (numeric) = 1.2596000556045278485340829865177
absolute error = 3e-31
relative error = 2.3817083737426408424424463084181e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.224
y[1] (analytic) = 1.260198812614276278308430811722
y[1] (numeric) = 1.2601988126142762783084308117214
absolute error = 6e-31
relative error = 4.7611535100188114932221681257479e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.225
y[1] (analytic) = 1.260797672263335371840070913909
y[1] (numeric) = 1.2607976722633353718400709139091
absolute error = 1e-31
relative error = 7.9314867246291671405665413793702e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.226
y[1] (analytic) = 1.261396634540433506402577201289
y[1] (numeric) = 1.2613966345404335064025772012881
absolute error = 9e-31
relative error = 7.1349484797690008542362268646275e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=755.3MB, alloc=4.4MB, time=71.84
x[1] = 1.227
y[1] (analytic) = 1.261995699434305096047349319362
y[1] (numeric) = 1.2619956994343050960473493193626
absolute error = 6e-31
relative error = 4.7543743633116383429900133450736e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.228
y[1] (analytic) = 1.262594866933690586839194797123
y[1] (numeric) = 1.2625948669336905868391947971218
absolute error = 1.2e-30
relative error = 9.5042363265288170487657564956396e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.229
y[1] (analytic) = 1.263194137027336452097124194346
y[1] (numeric) = 1.2631941370273364520971241943455
absolute error = 5e-31
relative error = 3.9582197648308086748258968564512e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.23
y[1] (analytic) = 1.26379350970399518764035194767
y[1] (numeric) = 1.2637935097039951876403519476695
absolute error = 5e-31
relative error = 3.9563425208372026103464585154033e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.231
y[1] (analytic) = 1.264392984952425307039495625529
y[1] (numeric) = 1.2643929849524253070394956255284
absolute error = 6e-31
relative error = 4.7453600829854011321765313475757e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.232
y[1] (analytic) = 1.264992562761391336872966314543
y[1] (numeric) = 1.264992562761391336872966314544
absolute error = 1.0e-30
relative error = 7.9051848163997827241086139023697e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=759.1MB, alloc=4.4MB, time=72.24
x[1] = 1.233
y[1] (analytic) = 1.265592243119663811988542872355
y[1] (numeric) = 1.2655922431196638119885428723535
absolute error = 1.5e-30
relative error = 1.1852158609178300344981569302407e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.234
y[1] (analytic) = 1.266192026016019270770122794271
y[1] (numeric) = 1.2661920260160192707701227942708
absolute error = 2e-31
relative error = 1.5795392475285553039028568806588e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.235
y[1] (analytic) = 1.26679191143924025040964245355
y[1] (numeric) = 1.2667919114392402504096424535504
absolute error = 4e-31
relative error = 3.1575825231276383338481117790074e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.236
y[1] (analytic) = 1.267391899378115282184159487375
y[1] (numeric) = 1.2673918993781152821841594873739
absolute error = 1.1e-30
relative error = 8.6792412081831101095143247413174e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.237
y[1] (analytic) = 1.267991989821438886738090113004
y[1] (numeric) = 1.2679919898214388867380901130037
absolute error = 3e-31
relative error = 2.3659455454623698928214975538849e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.238
y[1] (analytic) = 1.268592182758011569370594170849
y[1] (numeric) = 1.2685921827580115693705941708504
absolute error = 1.4e-30
relative error = 1.1035855486325781143323420604869e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=762.9MB, alloc=4.4MB, time=72.65
x[1] = 1.239
y[1] (analytic) = 1.269192478176639815328100703478
y[1] (numeric) = 1.2691924781766398153281007034762
absolute error = 1.8e-30
relative error = 1.4182246041876440019545450283429e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.24
y[1] (analytic) = 1.269792876066136085101966891807
y[1] (numeric) = 1.2697928760661360851019668918065
absolute error = 5e-31
relative error = 3.9376500642295139481081412744878e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.241
y[1] (analytic) = 1.270393376415318809731263182051
y[1] (numeric) = 1.2703933764153188097312631820509
absolute error = 1e-31
relative error = 7.8715775645942802642300522313187e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.242
y[1] (analytic) = 1.270993979213012386110677449035
y[1] (numeric) = 1.2709939792130123861106774490345
absolute error = 5e-31
relative error = 3.9339289420520727811123918948622e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.243
y[1] (analytic) = 1.27159468444804717230353105382
y[1] (numeric) = 1.2715946844480471723035310538202
absolute error = 2e-31
relative error = 1.5728282167742207743887557911623e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=766.7MB, alloc=4.4MB, time=73.05
x[1] = 1.244
y[1] (analytic) = 1.272195492109259482859899665655
y[1] (numeric) = 1.2721954921092594828598996656539
absolute error = 1.1e-30
relative error = 8.6464698768601603979670119223101e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.245
y[1] (analytic) = 1.272796402185491584139831730394
y[1] (numeric) = 1.2727964021854915841398317303941
absolute error = 1e-31
relative error = 7.8567161117278561275337897921417e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.246
y[1] (analytic) = 1.273397414665591689641657479692
y[1] (numeric) = 1.2733974146655916896416574796921
absolute error = 1e-31
relative error = 7.8530079336042245022990309585330e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.247
y[1] (analytic) = 1.273998529538413955335381387268
y[1] (numeric) = 1.2739985295384139553353813872682
absolute error = 2e-31
relative error = 1.5698605246621640216915566231740e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.248
y[1] (analytic) = 1.274599746792818475001150990686
y[1] (numeric) = 1.2745997467928184750011509906855
absolute error = 5e-31
relative error = 3.9228000888758466893677473375523e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.249
y[1] (analytic) = 1.275201066417671275572795009055
y[1] (numeric) = 1.2752010664176712755727950090544
absolute error = 6e-31
relative error = 4.7051403563011121460548397103102e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=770.5MB, alloc=4.4MB, time=73.46
x[1] = 1.25
y[1] (analytic) = 1.27580248840184431248642369911
y[1] (numeric) = 1.2758024884018443124864236991092
absolute error = 8e-31
relative error = 6.2705630947791425566460677503472e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.251
y[1] (analytic) = 1.27640401273421546503408440408
y[1] (numeric) = 1.2764040127342154650340844040799
absolute error = 1e-31
relative error = 7.8345099985848223721149355769611e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.252
y[1] (analytic) = 1.277005639403668531722465261744
y[1] (numeric) = 1.2770056394036685317224652617434
absolute error = 6e-31
relative error = 4.6984913886534269875934543534909e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.253
y[1] (analytic) = 1.277607368399093225636640049973
y[1] (numeric) = 1.2776073683990932256366400499732
absolute error = 2e-31
relative error = 1.5654261625824069474832583250185e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.254
y[1] (analytic) = 1.278209199709385169808847160017
y[1] (numeric) = 1.2782091997093851698088471600176
absolute error = 6e-31
relative error = 4.6940672945900918016574624428108e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.255
y[1] (analytic) = 1.278811133323445892592295699625
y[1] (numeric) = 1.2788111333234458925922956996251
absolute error = 1e-31
relative error = 7.8197630122373432392120671317678e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=774.4MB, alloc=4.4MB, time=73.86
x[1] = 1.256
y[1] (analytic) = 1.279413169230182823039991739999
y[1] (numeric) = 1.2794131692301828230399917399987
absolute error = 3e-31
relative error = 2.3448250120835371510732266618667e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.257
y[1] (analytic) = 1.280015307418509286288577732403
y[1] (numeric) = 1.2800153074185092862885777324022
absolute error = 8e-31
relative error = 6.2499252576393980896889229165106e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.258
y[1] (analytic) = 1.280617547877344498947178132057
y[1] (numeric) = 1.2806175478773444989471781320561
absolute error = 9e-31
relative error = 7.0278593440467251891606963234265e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.259
y[1] (analytic) = 1.281219890595613564491244278757
y[1] (numeric) = 1.2812198905956135644912442787558
absolute error = 1.2e-30
relative error = 9.3660737614847982274409767758035e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.26
y[1] (analytic) = 1.281822335562247468661391595414
y[1] (numeric) = 1.2818223355622474686613915954124
absolute error = 1.6e-30
relative error = 1.2482229054763582591738426027920e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=778.2MB, alloc=4.4MB, time=74.26
x[1] = 1.261
y[1] (analytic) = 1.282424882766183074867222177463
y[1] (numeric) = 1.2824248827661830748672221774628
absolute error = 2e-31
relative error = 1.5595455350850737833181490332245e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.262
y[1] (analytic) = 1.283027532196363119596125857819
y[1] (numeric) = 1.2830275321963631195961258578186
absolute error = 4e-31
relative error = 3.1176260053847490093054701593744e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.263
y[1] (analytic) = 1.283630283841736207827052843721
y[1] (numeric) = 1.2836302838417362078270528437202
absolute error = 8e-31
relative error = 6.2323241362435410193648019086503e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.264
y[1] (analytic) = 1.284233137691256808449251033542
y[1] (numeric) = 1.2842331376912568084492510335412
absolute error = 8e-31
relative error = 6.2293985143399129284567634086558e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.265
y[1] (analytic) = 1.284836093733885249685961133237
y[1] (numeric) = 1.2848360937338852496859611332374
absolute error = 4e-31
relative error = 3.1132375713197223107899649896250e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.266
y[1] (analytic) = 1.285439151958587714523062703766
y[1] (numeric) = 1.2854391519585877145230627037651
absolute error = 9e-31
relative error = 7.0014982710670913539808792880628e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=782.0MB, alloc=4.4MB, time=74.67
x[1] = 1.267
y[1] (analytic) = 1.286042312354336236142664282399
y[1] (numeric) = 1.286042312354336236142664282399
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.268
y[1] (analytic) = 1.286645574910108693361630732463
y[1] (numeric) = 1.2866455749101086933616307324629
absolute error = 1e-31
relative error = 7.7721481307691502773495321058943e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.269
y[1] (analytic) = 1.287248939614888806075040987544
y[1] (numeric) = 1.2872489396148888060750409875446
absolute error = 6e-31
relative error = 4.6611030822018334487764693363155e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.27
y[1] (analytic) = 1.287852406457666130704569367806
y[1] (numeric) = 1.2878524064576661307045693678051
absolute error = 9e-31
relative error = 6.9883784468401698791681655937981e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.271
y[1] (analytic) = 1.288455975427436055651783657504
y[1] (numeric) = 1.288455975427436055651783657503
absolute error = 1.0e-30
relative error = 7.7612275395615061767817345078338e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.272
y[1] (analytic) = 1.289059646513199796756353144349
y[1] (numeric) = 1.2890596465131997967563531443483
absolute error = 7e-31
relative error = 5.4303150509244654607259335853680e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=785.8MB, alloc=4.4MB, time=75.07
x[1] = 1.273
y[1] (analytic) = 1.289663419703964392759159832765
y[1] (numeric) = 1.2896634197039643927591598327652
absolute error = 2e-31
relative error = 1.5507922217868982568188652727287e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.274
y[1] (analytic) = 1.29026729498874270077030605459
y[1] (numeric) = 1.29026729498874270077030605459
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.275
y[1] (analytic) = 1.29087127235655339174201171215
y[1] (numeric) = 1.2908712723565533917420117121509
absolute error = 9e-31
relative error = 6.9720352390909023097055267175369e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.276
y[1] (analytic) = 1.291475351796420945946394400077
y[1] (numeric) = 1.2914753517964209459463944000771
absolute error = 1e-31
relative error = 7.7430823484862987768147600013114e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.277
y[1] (analytic) = 1.292079533297375648458125663561
y[1] (numeric) = 1.2920795332973756484581256635607
absolute error = 3e-31
relative error = 2.3218384957650604405222987880783e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.278
y[1] (analytic) = 1.292683816848453584641956662148
y[1] (numeric) = 1.2926838168484535846419566621484
absolute error = 4e-31
relative error = 3.0943374921734134735028390119936e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=789.6MB, alloc=4.4MB, time=75.47
TOP MAIN SOLVE Loop
x[1] = 1.279
y[1] (analytic) = 1.293288202438696635645106519473
y[1] (numeric) = 1.2932882024386966356451065194731
absolute error = 1e-31
relative error = 7.7322285791700876710534937514073e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.28
y[1] (analytic) = 1.293892690057152473894506650642
y[1] (numeric) = 1.2938926900571524738945066506422
absolute error = 2e-31
relative error = 1.5457232391595458298213291527204e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.281
y[1] (analytic) = 1.294497279692874558598894370288
y[1] (numeric) = 1.2944972796928745585988943702884
absolute error = 4e-31
relative error = 3.0900026309433561899481596183456e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.282
y[1] (analytic) = 1.295101971334922131255749095551
y[1] (numeric) = 1.2951019713349221312557490955511
absolute error = 1e-31
relative error = 7.7213997208980638245042669579225e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.283
y[1] (analytic) = 1.295706764972360211163064469499
y[1] (numeric) = 1.2957067649723602111630644694985
absolute error = 5e-31
relative error = 3.8588978117333971939705228738027e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=793.4MB, alloc=4.4MB, time=75.87
x[1] = 1.284
y[1] (analytic) = 1.296311660594259590935949741722
y[1] (numeric) = 1.2963116605942595909359497417211
absolute error = 9e-31
relative error = 6.9427748539068062192366171469899e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.285
y[1] (analytic) = 1.296916658189696832028053754023
y[1] (numeric) = 1.2969166581896968320280537540229
absolute error = 1e-31
relative error = 7.7105956939118322465218675451322e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.286
y[1] (analytic) = 1.297521757747754260257804890313
y[1] (numeric) = 1.2975217577477542602578048903128
absolute error = 2e-31
relative error = 1.5413999711816867859947846880596e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.287
y[1] (analytic) = 1.29812695925751996133946036095
y[1] (numeric) = 1.2981269592575199613394603609508
absolute error = 8e-31
relative error = 6.1627254121397344696236800517687e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.288
y[1] (analytic) = 1.298732262708087776418958202934
y[1] (numeric) = 1.2987322627080877764189582029342
absolute error = 2e-31
relative error = 1.5399632837561486731114033954632e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.289
y[1] (analytic) = 1.299337668088557297614565388419
y[1] (numeric) = 1.2993376680885572976145653884189
absolute error = 1e-31
relative error = 7.6962288138008808765070311523074e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=797.3MB, alloc=4.4MB, time=76.28
x[1] = 1.29
y[1] (analytic) = 1.299943175388033863562315445155
y[1] (numeric) = 1.2999431753880338635623154451556
absolute error = 6e-31
relative error = 4.6155863683879844892980447337186e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.291
y[1] (analytic) = 1.300548784595628554966229003486
y[1] (numeric) = 1.3005487845956285549662290034867
absolute error = 7e-31
relative error = 5.3823432714801743683580716228521e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.292
y[1] (analytic) = 1.301154495700458190153310695592
y[1] (numeric) = 1.3011544957004581901533106955927
absolute error = 7e-31
relative error = 5.3798376927035468039868015367834e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.293
y[1] (analytic) = 1.301760308691645320633315843696
y[1] (numeric) = 1.3017603086916453206333158436966
absolute error = 6e-31
relative error = 4.6091434497879217107197935732697e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.294
y[1] (analytic) = 1.302366223558318226663280384934
y[1] (numeric) = 1.3023662235583182266632803849348
absolute error = 8e-31
relative error = 6.1426654463922149192474035502311e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.295
y[1] (analytic) = 1.302972240289610912816807491581
y[1] (numeric) = 1.3029722402896109128168074915805
absolute error = 5e-31
relative error = 3.8373802951386384025339394741743e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=801.1MB, alloc=4.4MB, time=76.69
x[1] = 1.296
y[1] (analytic) = 1.303578358874663103558104356261
y[1] (numeric) = 1.3035783588746631035581043562605
absolute error = 5e-31
relative error = 3.8355960468048409083103861663962e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.297
y[1] (analytic) = 1.304184579302620238820762622742
y[1] (numeric) = 1.3041845793026202388207626227411
absolute error = 9e-31
relative error = 6.9008636835842075878465201746576e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.298
y[1] (analytic) = 1.304790901562633469591275953769
y[1] (numeric) = 1.3047909015626334695912759537704
absolute error = 1.4e-30
relative error = 1.0729688552574538609563151474229e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.299
y[1] (analytic) = 1.305397325643859653497288238357
y[1] (numeric) = 1.3053973256438596534972882383561
absolute error = 9e-31
relative error = 6.8944526108638533719346522672022e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.3
y[1] (analytic) = 1.306003851535461350400565951727
y[1] (numeric) = 1.3060038515354613504005659517263
absolute error = 7e-31
relative error = 5.3598616817018874364373210106876e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=804.9MB, alloc=4.4MB, time=77.08
x[1] = 1.301
y[1] (analytic) = 1.306610479226606817994688192069
y[1] (numeric) = 1.3066104792266068179946881920691
absolute error = 1e-31
relative error = 7.6533903248036705602028981424222e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.302
y[1] (analytic) = 1.307217208706470007407447928973
y[1] (numeric) = 1.3072172087064700074074479289734
absolute error = 4e-31
relative error = 3.0599352375097004767169580943361e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.303
y[1] (analytic) = 1.307824039964230558807958009298
y[1] (numeric) = 1.3078240399642305588079580092978
absolute error = 2e-31
relative error = 1.5292577127231127314517983823204e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.304
y[1] (analytic) = 1.308430972989073797018455476979
y[1] (numeric) = 1.3084309729890737970184554769793
absolute error = 3e-31
relative error = 2.2928225194383653926602973292990e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.305
y[1] (analytic) = 1.309038007770190727130797774054
y[1] (numeric) = 1.309038007770190727130797774055
absolute error = 1.0e-30
relative error = 7.6391975944487308152204711412061e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.306
y[1] (analytic) = 1.309645144296778030127644400911
y[1] (numeric) = 1.3096451442967780301276444009113
absolute error = 3e-31
relative error = 2.2906968449158556974317786680648e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=808.7MB, alloc=4.4MB, time=77.48
x[1] = 1.307
y[1] (analytic) = 1.310252382558038058508317624496
y[1] (numeric) = 1.3102523825580380585083176244965
absolute error = 5e-31
relative error = 3.8160586972094464877343459550581e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.308
y[1] (analytic) = 1.31085972254317883191933583393
y[1] (numeric) = 1.3108597225431788319193358339303
absolute error = 3e-31
relative error = 2.2885743977088151251412302295929e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.309
y[1] (analytic) = 1.311467164241414032789613153623
y[1] (numeric) = 1.311467164241414032789613153622
absolute error = 1.0e-30
relative error = 7.6250479407040696799485369873651e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.31
y[1] (analytic) = 1.312074707641963001970318934667
y[1] (numeric) = 1.3120747076419630019703189346666
absolute error = 4e-31
relative error = 3.0486068946399613555613785636630e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.311
y[1] (analytic) = 1.312682352734050734379390755924
y[1] (numeric) = 1.3126823527340507343793907559235
absolute error = 5e-31
relative error = 3.8089946052721859954987909044540e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.312
y[1] (analytic) = 1.313290099506907874650694576797
y[1] (numeric) = 1.3132900995069078746506945767976
absolute error = 6e-31
relative error = 4.5686783158212943970152575482456e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=812.5MB, alloc=4.4MB, time=77.89
x[1] = 1.313
y[1] (analytic) = 1.313897947949770712787825694337
y[1] (numeric) = 1.3138979479497707127878256943363
absolute error = 7e-31
relative error = 5.3276588268692573567998993112454e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.314
y[1] (analytic) = 1.31450589805188117982254416783
y[1] (numeric) = 1.3145058980518811798225441678307
absolute error = 7e-31
relative error = 5.3251948206349718561099648935933e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.315
y[1] (analytic) = 1.31511394980248684347783838466
y[1] (numeric) = 1.3151139498024868434778383846591
absolute error = 9e-31
relative error = 6.8435134471440166402670080028407e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.316
y[1] (analytic) = 1.315722103190840903835610451646
y[1] (numeric) = 1.3157221031908409038356104516458
absolute error = 2e-31
relative error = 1.5200778303789785713967001547263e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.317
y[1] (analytic) = 1.316330358206202189008977106716
y[1] (numeric) = 1.3163303582062021890089771067168
absolute error = 8e-31
relative error = 6.0775017077793520311335863764841e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.318
memory used=816.3MB, alloc=4.4MB, time=78.30
y[1] (analytic) = 1.316938714837835150819179856125
y[1] (numeric) = 1.3169387148378351508191798561252
absolute error = 2e-31
relative error = 1.5186735551671251976433670250057e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.319
y[1] (analytic) = 1.317547173075009860477098052991
y[1] (numeric) = 1.3175471730750098604770980529902
absolute error = 8e-31
relative error = 6.0718888579365867334556000661286e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.32
y[1] (analytic) = 1.318155732907002004269358643339
y[1] (numeric) = 1.3181557329070020042693586433399
absolute error = 9e-31
relative error = 6.8277213195073699217614034063722e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.321
y[1] (analytic) = 1.31876439432309287924903631628
y[1] (numeric) = 1.3187643943230928792490363162807
absolute error = 7e-31
relative error = 5.3079989345579975835947838509513e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.322
y[1] (analytic) = 1.31937315731256938893093780532
y[1] (numeric) = 1.3193731573125693889309378053205
absolute error = 5e-31
relative error = 3.7896784334952651517357127395897e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.323
y[1] (analytic) = 1.319982021864724038991464098264
y[1] (numeric) = 1.319982021864724038991464098264
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=820.1MB, alloc=4.4MB, time=78.70
x[1] = 1.324
y[1] (analytic) = 1.320590987968854932973044323465
y[1] (numeric) = 1.320590987968854932973044323464
absolute error = 1.0e-30
relative error = 7.5723672894213646464636899948339e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.325
y[1] (analytic) = 1.321200055614265767993135090561
y[1] (numeric) = 1.32120005561426576799313509056
absolute error = 1.0e-30
relative error = 7.5688764600836307779305737672101e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.326
y[1] (analytic) = 1.321809224790265830457779074163
y[1] (numeric) = 1.3218092247902658304577790741635
absolute error = 5e-31
relative error = 3.7826941333333183634626960952761e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.327
y[1] (analytic) = 1.322418495486169991779716639255
y[1] (numeric) = 1.3224184954861699917797166392547
absolute error = 3e-31
relative error = 2.2685708119176667647999605804332e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.328
y[1] (analytic) = 1.323027867691298704101044317342
y[1] (numeric) = 1.3230278676912987041010443173424
absolute error = 4e-31
relative error = 3.0233679105943954250703718747790e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.329
y[1] (analytic) = 1.323637341394977996020413952704
y[1] (numeric) = 1.3236373413949779960204139527053
absolute error = 1.3e-30
relative error = 9.8214213164304758688158788788424e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=824.0MB, alloc=4.4MB, time=79.10
x[1] = 1.33
y[1] (analytic) = 1.324246916586539468324766348279
y[1] (numeric) = 1.3242469165865394683247663482792
absolute error = 2e-31
relative error = 1.5102923593398452910105551474298e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.331
y[1] (analytic) = 1.324856593255320289725593250981
y[1] (numeric) = 1.3248565932553202897255932509806
absolute error = 4e-31
relative error = 3.0191946965154577566778948258655e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.332
y[1] (analytic) = 1.325466371390663192599721526462
y[1] (numeric) = 1.3254663713906631925997215264632
absolute error = 1.2e-30
relative error = 9.0534171662233467150756279917275e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.333
y[1] (analytic) = 1.326076250981916468734613383493
y[1] (numeric) = 1.3260762509819164687346133834914
absolute error = 1.6e-30
relative error = 1.2065671177017549907065993447795e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.334
y[1] (analytic) = 1.326686232018433965078176518279
y[1] (numeric) = 1.3266862320184339650781765182789
absolute error = 1e-31
relative error = 7.5375772798862154496591781563149e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.335
y[1] (analytic) = 1.32729631448957507949307805929
y[1] (numeric) = 1.3272963144895750794930780592893
absolute error = 7e-31
relative error = 5.2738788796320279152581783479268e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=827.8MB, alloc=4.4MB, time=79.49
TOP MAIN SOLVE Loop
x[1] = 1.336
y[1] (analytic) = 1.327906498384704756515556203122
y[1] (numeric) = 1.3279064983847047565155562031211
absolute error = 9e-31
relative error = 6.7775856289187543164379317343255e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.337
y[1] (analytic) = 1.328516783693193483118723442206
y[1] (numeric) = 1.3285167836931934831187234422061
absolute error = 1e-31
relative error = 7.5271913179753936403162641196080e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.338
y[1] (analytic) = 1.329127170404417284480355295138
y[1] (numeric) = 1.3291271704044172844803552951384
absolute error = 4e-31
relative error = 3.0094938159927230163204028879932e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.339
y[1] (analytic) = 1.329737658507757719755158460518
y[1] (numeric) = 1.3297376585077577197551584605177
absolute error = 3e-31
relative error = 2.2560841086253239565157567944390e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.34
y[1] (analytic) = 1.330348247992601877851512325239
y[1] (numeric) = 1.330348247992601877851512325239
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=831.6MB, alloc=4.4MB, time=79.87
x[1] = 1.341
y[1] (analytic) = 1.330958938848342373212677768189
y[1] (numeric) = 1.3309589388483423732126777681885
absolute error = 5e-31
relative error = 3.7566898978314241401860570905878e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.342
y[1] (analytic) = 1.331569731064377341602467210315
y[1] (numeric) = 1.3315697310643773416024672103145
absolute error = 5e-31
relative error = 3.7549667008450984577042821014125e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.343
y[1] (analytic) = 1.332180624630110435895369872033
y[1] (numeric) = 1.3321806246301104358953698720316
absolute error = 1.4e-30
relative error = 1.0509085435683468997263997397768e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.344
y[1] (analytic) = 1.332791619534950821871126208885
y[1] (numeric) = 1.332791619534950821871126208885
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.345
y[1] (analytic) = 1.333402715768313174013745506355
y[1] (numeric) = 1.3334027157683131740137455063535
absolute error = 1.5e-30
relative error = 1.1249414616166374425341253526019e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.346
y[1] (analytic) = 1.334013913319617671314960624599
y[1] (numeric) = 1.334013913319617671314960624599
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=835.4MB, alloc=4.4MB, time=80.25
x[1] = 1.347
y[1] (analytic) = 1.334625212178289993082113893884
y[1] (numeric) = 1.3346252121782899930821138938835
absolute error = 5e-31
relative error = 3.7463701077842816140357028921785e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.348
y[1] (analytic) = 1.335236612333761314750468171266
y[1] (numeric) = 1.3352366123337613147504681712655
absolute error = 5e-31
relative error = 3.7446546580690817202040580722389e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.349
y[1] (analytic) = 1.335848113775468303699937079062
y[1] (numeric) = 1.3358481137754683036999370790612
absolute error = 8e-31
relative error = 5.9887047917370148306613748592301e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.35
y[1] (analytic) = 1.33645971649285311507622845541
y[1] (numeric) = 1.3364597164928531150762284554098
absolute error = 2e-31
relative error = 1.4964910466949306281617228963878e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.351
y[1] (analytic) = 1.337071420475363387616395057117
y[1] (numeric) = 1.3370714204753633876163950571169
absolute error = 1e-31
relative error = 7.4790320448587121778912814232383e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.352
y[1] (analytic) = 1.337683225712452239478786564764
y[1] (numeric) = 1.3376832257124522394787865647646
absolute error = 6e-31
relative error = 4.4853668526824729680843950111800e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=839.2MB, alloc=4.4MB, time=80.62
x[1] = 1.353
y[1] (analytic) = 1.338295132193578264077396949875
y[1] (numeric) = 1.3382951321935782640773969498746
absolute error = 4e-31
relative error = 2.9888773438513996718602612294240e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.354
y[1] (analytic) = 1.338907139908205525920601273687
y[1] (numeric) = 1.3389071399082055259206012736868
absolute error = 2e-31
relative error = 1.4937555715306130245087977402860e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.355
y[1] (analytic) = 1.339519248845803556454275996876
y[1] (numeric) = 1.3395192488458035564542759968753
absolute error = 7e-31
relative error = 5.2257554387751787383974032130878e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.356
y[1] (analytic) = 1.340131458995847349909296889263
y[1] (numeric) = 1.3401314589958473499092968892621
absolute error = 9e-31
relative error = 6.7157590694450582235819831310975e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.357
y[1] (analytic) = 1.340743770347817359153408638311
y[1] (numeric) = 1.3407437703478173591534086383101
absolute error = 9e-31
relative error = 6.7126920139746084301321613909176e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=843.0MB, alloc=4.4MB, time=81.00
x[1] = 1.358
y[1] (analytic) = 1.341356182891199491547460264878
y[1] (numeric) = 1.3413561828911994915474602648786
absolute error = 6e-31
relative error = 4.4730848349820249826942417093900e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.359
y[1] (analytic) = 1.341968696615485104806000464407
y[1] (numeric) = 1.3419686966154851048060004644064
absolute error = 6e-31
relative error = 4.4710431883637168795909105470919e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.36
y[1] (analytic) = 1.342581311510171002862227001354
y[1] (numeric) = 1.3425813115101710028622270013531
absolute error = 9e-31
relative error = 6.7035046018006624364576771388972e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.361
y[1] (analytic) = 1.343194027564759431737284294374
y[1] (numeric) = 1.343194027564759431737284294373
absolute error = 1.0e-30
relative error = 7.4449407864999383831376763580362e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.362
y[1] (analytic) = 1.343806844768758075413903339325
y[1] (numeric) = 1.3438068447687580754139033393242
absolute error = 8e-31
relative error = 5.9532365318295709925011799503926e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.363
y[1] (analytic) = 1.344419763111680051714378126822
y[1] (numeric) = 1.3444197631116800517143781268216
absolute error = 4e-31
relative error = 2.9752612314638539509526180929563e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=846.8MB, alloc=4.4MB, time=81.38
x[1] = 1.364
y[1] (analytic) = 1.345032782583043908182872720634
y[1] (numeric) = 1.3450327825830439081828727206334
absolute error = 6e-31
relative error = 4.4608578152849244276100969583647e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.365
y[1] (analytic) = 1.345645903172373617972053172791
y[1] (numeric) = 1.3456459031723736179720531727909
absolute error = 1e-31
relative error = 7.4313755025931416357971367162461e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.366
y[1] (analytic) = 1.346259124869198575734038460833
y[1] (numeric) = 1.3462591248691985757340384608331
absolute error = 1e-31
relative error = 7.4279905073784303878342447557218e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.367
y[1] (analytic) = 1.346872447663053593515664642143
y[1] (numeric) = 1.3468724476630535935156646421423
absolute error = 7e-31
relative error = 5.1972256260387817350185098267627e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.368
y[1] (analytic) = 1.347485871543478896658056429841
y[1] (numeric) = 1.3474858715434788966580564298415
absolute error = 5e-31
relative error = 3.7106140447118347358583353849803e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.369
y[1] (analytic) = 1.348099396500020119700500404221
y[1] (numeric) = 1.3480993965000201197005004042213
absolute error = 3e-31
relative error = 2.2253551984287645414133234467712e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=850.7MB, alloc=4.4MB, time=81.76
x[1] = 1.37
y[1] (analytic) = 1.348713022522228302288614083143
y[1] (numeric) = 1.3487130225222283022886140831428
absolute error = 2e-31
relative error = 1.4828951501185922287933155713078e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.371
y[1] (analytic) = 1.349326749599659885086805084323
y[1] (numeric) = 1.3493267495996598850868050843234
absolute error = 4e-31
relative error = 2.9644413417185902431690812732718e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.372
y[1] (analytic) = 1.349940577721876705695014621853
y[1] (numeric) = 1.3499405777218767056950146218531
absolute error = 1e-31
relative error = 7.4077334699248245251197956972855e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.373
y[1] (analytic) = 1.350554506878445994569739588716
y[1] (numeric) = 1.3505545068784459945697395887145
absolute error = 1.5e-30
relative error = 1.1106549142299849090618428456936e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.374
y[1] (analytic) = 1.351168537058940370949327486483
y[1] (numeric) = 1.3511685370589403709493274864829
absolute error = 1e-31
relative error = 7.4010012265137448521811251859419e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=854.5MB, alloc=4.4MB, time=82.15
x[1] = 1.375
y[1] (analytic) = 1.351782668252937838783538472773
y[1] (numeric) = 1.3517826682529378387835384727723
absolute error = 7e-31
relative error = 5.1783472035833204290313143876140e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.376
y[1] (analytic) = 1.352396900450021782667368806361
y[1] (numeric) = 1.3523969004500217826673688063607
absolute error = 3e-31
relative error = 2.2182836998529973079132225669186e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.377
y[1] (analytic) = 1.35301123363978096377912997928
y[1] (numeric) = 1.3530112336397809637791299792799
absolute error = 1e-31
relative error = 7.3909216356605289416108513799712e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.378
y[1] (analytic) = 1.353625667811809515822777834488
y[1] (numeric) = 1.3536256678118095158227778344883
absolute error = 3e-31
relative error = 2.2162700304358301589883753465548e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.379
y[1] (analytic) = 1.354240202955706940974485977059
y[1] (numeric) = 1.354240202955706940974485977059
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.38
y[1] (analytic) = 1.354854839061078105833457796115
y[1] (numeric) = 1.3548548390610781058334577961143
absolute error = 7e-31
relative error = 5.1666051581223555295967126243780e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=858.3MB, alloc=4.4MB, time=82.54
x[1] = 1.381
y[1] (analytic) = 1.355469576117533237376971424015
y[1] (numeric) = 1.3554695761175332373769714240154
absolute error = 4e-31
relative error = 2.9510068469830108615823906888242e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.382
y[1] (analytic) = 1.356084414114687918919651968577
y[1] (numeric) = 1.3560844141146879189196519685779
absolute error = 9e-31
relative error = 6.6367549883504850768135617125752e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.383
y[1] (analytic) = 1.356699353042163086076965363328
y[1] (numeric) = 1.3566993530421630860769653633278
absolute error = 2e-31
relative error = 1.4741659568977804427887767051240e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.384
y[1] (analytic) = 1.357314392889585022732928190037
y[1] (numeric) = 1.3573143928895850227329281900367
absolute error = 3e-31
relative error = 2.2102469521547646087451332940313e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.385
y[1] (analytic) = 1.357929533646585357012027836985
y[1] (numeric) = 1.3579295336465853570120278369846
absolute error = 4e-31
relative error = 2.9456609499157116888939188481504e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.386
y[1] (analytic) = 1.358544775302801057255347365589
y[1] (numeric) = 1.3585447753028010572553473655874
absolute error = 1.6e-30
relative error = 1.1777307815588057259149423809688e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=862.1MB, alloc=4.4MB, time=82.93
x[1] = 1.387
y[1] (analytic) = 1.3591601178478744280008894672
y[1] (numeric) = 1.3591601178478744280008894671993
absolute error = 7e-31
relative error = 5.1502394074687549916716614960378e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.388
y[1] (analytic) = 1.359775561271453105968093901056
y[1] (numeric) = 1.3597755612714531059680939010553
absolute error = 7e-31
relative error = 5.1479083750076195716868149887030e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.389
y[1] (analytic) = 1.360391105563190056046542813455
y[1] (numeric) = 1.3603911055631900560465428134556
absolute error = 6e-31
relative error = 4.4104963458402297593625979538460e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.39
y[1] (analytic) = 1.361006750712743567288848347412
y[1] (numeric) = 1.3610067507127435672888483474135
absolute error = 1.5e-30
relative error = 1.1021253195213523137669886957117e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.391
y[1] (analytic) = 1.361622496709777248907716961092
y[1] (numeric) = 1.3616224967097772489077169610913
absolute error = 7e-31
relative error = 5.1409256360810654124087169099541e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.392
memory used=865.9MB, alloc=4.4MB, time=83.32
y[1] (analytic) = 1.362238343543960026277184882432
y[1] (numeric) = 1.3622383435439600262771848824319
absolute error = 1e-31
relative error = 7.3408592904412660387687033081168e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.393
y[1] (analytic) = 1.362854291204966136938019136461
y[1] (numeric) = 1.3628542912049661369380191364618
absolute error = 8e-31
relative error = 5.8700332468607548022118040503932e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.394
y[1] (analytic) = 1.363470339682475126607278590792
y[1] (numeric) = 1.3634703396824751266072785907914
absolute error = 6e-31
relative error = 4.4005357691882608630647913119851e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.395
y[1] (analytic) = 1.36408648896617184519202947387
y[1] (numeric) = 1.3640864889661718451920294738697
absolute error = 3e-31
relative error = 2.1992740374356111539812503929374e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.396
y[1] (analytic) = 1.364702739045746442807209829567
y[1] (numeric) = 1.3647027390457464428072098295667
absolute error = 3e-31
relative error = 2.1982809253374235862619392386224e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.397
y[1] (analytic) = 1.365319089910894365797637380653
y[1] (numeric) = 1.3653190899108943657976373806531
absolute error = 1e-31
relative error = 7.3242951584692454312498451455707e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=869.7MB, alloc=4.4MB, time=83.72
x[1] = 1.398
y[1] (analytic) = 1.36593554155131635276415528273
y[1] (numeric) = 1.3659355415513163527641552827295
absolute error = 5e-31
relative error = 3.6604948388131218090572659065278e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.399
y[1] (analytic) = 1.366552093956718430593910259117
y[1] (numeric) = 1.3665520939567184305939102591183
absolute error = 1.3e-30
relative error = 9.5129926312283981256173993911942e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.4
y[1] (analytic) = 1.367168747116811910494757616179
y[1] (numeric) = 1.3671687471168119104947576161792
absolute error = 2e-31
relative error = 1.4628772082581247876375944031270e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.401
y[1] (analytic) = 1.367785501021313384033787647437
y[1] (numeric) = 1.3677855010213133840337876474371
absolute error = 1e-31
relative error = 7.3110878807628009622340131462471e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.402
y[1] (analytic) = 1.368402355659944719179967943824
y[1] (numeric) = 1.3684023556599447191799679438243
absolute error = 3e-31
relative error = 2.1923376465931165015215381770107e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.403
y[1] (analytic) = 1.369019311022433056350896136232
y[1] (numeric) = 1.3690193110224330563508961362316
absolute error = 4e-31
relative error = 2.9217995449696436796001289523528e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=873.5MB, alloc=4.4MB, time=84.11
x[1] = 1.404
y[1] (analytic) = 1.369636367098510804463657605443
y[1] (numeric) = 1.3696363670985108044636576054431
absolute error = 1e-31
relative error = 7.3012079995980072617355581723639e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.405
y[1] (analytic) = 1.370253523877915636989782703389
y[1] (numeric) = 1.3702535238779156369897827033878
absolute error = 1.2e-30
relative error = 8.7575034771953297553228221950202e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.406
y[1] (analytic) = 1.370870781350390488014298038488
y[1] (numeric) = 1.3708707813503904880142980384876
absolute error = 4e-31
relative error = 2.9178534216476322399891436557364e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.407
y[1] (analytic) = 1.371488139505683548298866386705
y[1] (numeric) = 1.3714881395056835482988663867049
absolute error = 1e-31
relative error = 7.2913499664708979864288683059444e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.408
y[1] (analytic) = 1.372105598333548261349009798707
y[1] (numeric) = 1.3721055983335482613490097987061
absolute error = 9e-31
relative error = 6.5592619190029495027129804461898e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.409
y[1] (analytic) = 1.372723157823743319485410482348
y[1] (numeric) = 1.3727231578237433194854104823481
absolute error = 1e-31
relative error = 7.2847900488934513278340671821330e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=877.4MB, alloc=4.4MB, time=84.49
TOP MAIN SOLVE Loop
x[1] = 1.41
y[1] (analytic) = 1.373340817966032659919284048473
y[1] (numeric) = 1.3733408179660326599192840484729
absolute error = 1e-31
relative error = 7.2815137139886085091409903243248e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.411
y[1] (analytic) = 1.373958578750185460831819716754
y[1] (numeric) = 1.3739585787501854608318197167537
absolute error = 3e-31
relative error = 2.1834719375084327311844841723305e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.412
y[1] (analytic) = 1.374576440165976137457682087081
y[1] (numeric) = 1.3745764401659761374576820870798
absolute error = 1.2e-30
relative error = 8.7299619354388429921025492344914e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.413
y[1] (analytic) = 1.375194402203184338172569090693
y[1] (numeric) = 1.3751944022031843381725690906923
absolute error = 7e-31
relative error = 5.0901894225175541625079703487716e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.414
y[1] (analytic) = 1.375812464851594940584820743994
y[1] (numeric) = 1.3758124648515949405848207439937
absolute error = 3e-31
relative error = 2.1805297427099569460750864012175e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=881.2MB, alloc=4.4MB, time=84.90
x[1] = 1.415
y[1] (analytic) = 1.376430628100998047631073336646
y[1] (numeric) = 1.3764306281009980476310733366467
absolute error = 7e-31
relative error = 5.0856177253608472731112274466919e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.416
y[1] (analytic) = 1.377048891941188983675953694253
y[1] (numeric) = 1.3770488919411889836759536942529
absolute error = 1e-31
relative error = 7.2619062827197569750026900675719e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.417
y[1] (analytic) = 1.377667256361968290615808164564
y[1] (numeric) = 1.3776672563619682906158081645632
absolute error = 8e-31
relative error = 5.8069174273080640199886942807537e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.418
y[1] (analytic) = 1.378285721353141723986460984814
y[1] (numeric) = 1.3782857213531417239864609848139
absolute error = 1e-31
relative error = 7.2553896808728668385464444718592e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.419
y[1] (analytic) = 1.37890428690452024907499669641
y[1] (numeric) = 1.37890428690452024907499669641
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.42
y[1] (analytic) = 1.379522953005920037035561281787
y[1] (numeric) = 1.3795229530059200370355612817865
absolute error = 5e-31
relative error = 3.6244413252459621620527868742265e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=885.0MB, alloc=4.4MB, time=85.27
x[1] = 1.421
y[1] (analytic) = 1.380141719647162461009176706874
y[1] (numeric) = 1.3801417196471624610091767068734
absolute error = 6e-31
relative error = 4.3473796310815955408475467651841e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.422
y[1] (analytic) = 1.380760586818074092247563561167
y[1] (numeric) = 1.3807605868180740922475635611668
absolute error = 2e-31
relative error = 1.4484770343922885302782575631021e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.423
y[1] (analytic) = 1.381379554508486696240966495971
y[1] (numeric) = 1.3813795545084866962409664959702
absolute error = 8e-31
relative error = 5.7913120068195210096121779808547e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.424
y[1] (analytic) = 1.381998622708237228849977169916
y[1] (numeric) = 1.3819986227082372288499771699149
absolute error = 1.1e-30
relative error = 7.9594869482892979474157725240958e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.425
y[1] (analytic) = 1.382617791407167832441349419397
y[1] (numeric) = 1.3826177914071678324413494193964
absolute error = 6e-31
relative error = 4.3395940926620528924001871764697e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.426
y[1] (analytic) = 1.383237060595125832027801380077
y[1] (numeric) = 1.3832370605951258320278013800773
absolute error = 3e-31
relative error = 2.1688256376743374977647237167867e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=888.8MB, alloc=4.4MB, time=85.64
x[1] = 1.427
y[1] (analytic) = 1.383856430261963731411799294103
y[1] (numeric) = 1.3838564302619637314117992941019
absolute error = 1.1e-30
relative error = 7.9488014503915715532744257861450e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.428
y[1] (analytic) = 1.384475900397539209333317746151
y[1] (numeric) = 1.3844759003975392093333177461492
absolute error = 1.8e-30
relative error = 1.3001309733763852161053832978698e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.429
y[1] (analytic) = 1.385095470991715115621571079913
y[1] (numeric) = 1.3850954709917151156215710799138
absolute error = 8e-31
relative error = 5.7757751487499099831387695739765e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.43
y[1] (analytic) = 1.385715142034359467350710755054
y[1] (numeric) = 1.3857151420343594673507107550529
absolute error = 1.1e-30
relative error = 7.9381394244209317860085988213347e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.431
y[1] (analytic) = 1.386334913515345444999483413068
y[1] (numeric) = 1.3863349135153454449994834130686
absolute error = 6e-31
relative error = 4.3279585196233215622446160554426e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=892.6MB, alloc=4.4MB, time=86.00
x[1] = 1.432
y[1] (analytic) = 1.38695478542455138861484442901
y[1] (numeric) = 1.3869547854245513886148444290108
absolute error = 8e-31
relative error = 5.7680322993017929403921771326471e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.433
y[1] (analytic) = 1.387574757751860793979521734287
y[1] (numeric) = 1.3875747577518607939795217342867
absolute error = 3e-31
relative error = 2.1620456723071120442696161503532e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.434
y[1] (analytic) = 1.388194830487162308783524704245
y[1] (numeric) = 1.3881948304871623087835247042447
absolute error = 3e-31
relative error = 2.1610799392958431543120482834911e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.435
y[1] (analytic) = 1.38881500362034972879959291257
y[1] (numeric) = 1.3888150036203497287995929125706
absolute error = 6e-31
relative error = 4.3202298249653532866758858958488e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.436
y[1] (analytic) = 1.389435277141321994062579562886
y[1] (numeric) = 1.3894352771413219940625795628852
absolute error = 8e-31
relative error = 5.7577349097249856434111097521729e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.437
y[1] (analytic) = 1.390055651039983185052764416267
y[1] (numeric) = 1.3900556510399831850527644162673
absolute error = 3e-31
relative error = 2.1581869745686238074344240360228e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=896.4MB, alloc=4.4MB, time=86.38
x[1] = 1.438
y[1] (analytic) = 1.390676125306242518883091041751
y[1] (numeric) = 1.3906761253062425188830910417499
absolute error = 1.1e-30
relative error = 7.9098215607733082505554623597151e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.439
y[1] (analytic) = 1.391296699930014345490323225138
y[1] (numeric) = 1.3912966999300143454903232251383
absolute error = 3e-31
relative error = 2.1562618528103368584595792902390e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.44
y[1] (analytic) = 1.39191737490121814383011537979
y[1] (numeric) = 1.3919173749012181438301153797899
absolute error = 1e-31
relative error = 7.1843344873180291294248635379713e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.441
y[1] (analytic) = 1.392538150209778518075991811269
y[1] (numeric) = 1.3925381502097785180759918112686
absolute error = 4e-31
relative error = 2.8724527219576864912062679101754e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.442
y[1] (analytic) = 1.393159025845625193822229696045
y[1] (numeric) = 1.393159025845625193822229696044
absolute error = 1.0e-30
relative error = 7.1779314597126916779208137943601e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.443
y[1] (analytic) = 1.393780001798693014290640642647
y[1] (numeric) = 1.3937800017986930142906406426463
absolute error = 7e-31
relative error = 5.0223134145750404982319307772219e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=900.3MB, alloc=4.4MB, time=86.75
x[1] = 1.444
y[1] (analytic) = 1.394401078058921936541245711917
y[1] (numeric) = 1.3944010780589219365412457119167
absolute error = 3e-31
relative error = 2.1514613314672378157443904438175e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.445
y[1] (analytic) = 1.395022254616257027686838781202
y[1] (numeric) = 1.3950222546162570276868387812018
absolute error = 2e-31
relative error = 1.4336688847664013497427350182319e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.446
y[1] (analytic) = 1.395643531460648461111433145536
y[1] (numeric) = 1.3956435314606484611114331455362
absolute error = 2e-31
relative error = 1.4330306807690685467579179150186e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.447
y[1] (analytic) = 1.396264908582051512692586257038
y[1] (numeric) = 1.3962649085820515126925862570378
absolute error = 2e-31
relative error = 1.4323929418458703550174931580429e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.448
y[1] (analytic) = 1.396886385970426557027597511905
y[1] (numeric) = 1.3968863859704265570275975119036
absolute error = 1.4e-30
relative error = 1.0022289672666617005806730367453e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=904.1MB, alloc=4.4MB, time=87.13
x[1] = 1.449
y[1] (analytic) = 1.397507963615739063663574002545
y[1] (numeric) = 1.3975079636157390636635740025446
absolute error = 4e-31
relative error = 2.8622377146609564110169544702936e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.45
y[1] (analytic) = 1.398129641507959593331359160529
y[1] (numeric) = 1.3981296415079595933313591605284
absolute error = 6e-31
relative error = 4.2914475323823837425160343782435e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.451
y[1] (analytic) = 1.39875141963706379418331922412
y[1] (numeric) = 1.3987514196370637941833192241204
absolute error = 4e-31
relative error = 2.8596932548871951956469240500091e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.452
y[1] (analytic) = 1.399373297993032398034982472314
y[1] (numeric) = 1.3993732979930323980349824723138
absolute error = 2e-31
relative error = 1.4292112068083481287156752068920e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.453
y[1] (analytic) = 1.399995276565851216610526175328
y[1] (numeric) = 1.3999952765658512166105261753276
absolute error = 4e-31
relative error = 2.8571524968369084579847059492121e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.454
y[1] (analytic) = 1.400617355345511137792106219625
y[1] (numeric) = 1.4006173553455111377921062196248
absolute error = 2e-31
relative error = 1.4279417518046034926028302016649e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=907.9MB, alloc=4.4MB, time=87.50
x[1] = 1.455
y[1] (analytic) = 1.401239534322008121873024373557
y[1] (numeric) = 1.4012395343220081218730243735572
absolute error = 2e-31
relative error = 1.4273077164980954090577158752800e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.456
y[1] (analytic) = 1.401861813485343197814728167789
y[1] (numeric) = 1.401861813485343197814728167789
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) = 1.402484192825522459507638372674
y[1] (numeric) = 1.4024841928255224595076383726737
absolute error = 3e-31
relative error = 2.1390615419030381876061834824697e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.458
y[1] (analytic) = 1.403106672332557062035799062775
y[1] (numeric) = 1.403106672332557062035799062774
absolute error = 1.0e-30
relative error = 7.1270418687238997714145633993375e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.459
y[1] (analytic) = 1.403729251996463217945345266708
y[1] (numeric) = 1.4037292519964632179453452667081
absolute error = 1e-31
relative error = 7.1238808949642061132375740397720e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.46
y[1] (analytic) = 1.404351931807262193516783208489
y[1] (numeric) = 1.4043519318072621935167832084891
absolute error = 1e-31
relative error = 7.1207222160694349231696242457561e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=911.7MB, alloc=4.4MB, time=87.87
x[1] = 1.461
y[1] (analytic) = 1.404974711754980305041078154489
y[1] (numeric) = 1.4049747117549803050410781544889
absolute error = 1e-31
relative error = 7.1175658297143385228748890771942e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.462
y[1] (analytic) = 1.405597591829648915099544888111
y[1] (numeric) = 1.4055975918296489150995448881104
absolute error = 6e-31
relative error = 4.2686470401460168795920863685359e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.463
y[1] (analytic) = 1.406220572021304428847535842189
y[1] (numeric) = 1.4062205720213044288475358421876
absolute error = 1.4e-30
relative error = 9.9557638954722233550612895981359e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.464
y[1] (analytic) = 1.406843652319988290301921927055
y[1] (numeric) = 1.4068436523199882903019219270554
absolute error = 4e-31
relative error = 2.8432441610719903664089970102503e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.465
y[1] (analytic) = 1.407466832715746978632361100136
y[1] (numeric) = 1.4074668327157469786323611001354
absolute error = 6e-31
relative error = 4.2629778979749246762696813233063e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=915.5MB, alloc=4.4MB, time=88.25
x[1] = 1.466
y[1] (analytic) = 1.408090113198632004456349730777
y[1] (numeric) = 1.4080901131986320044563497307783
absolute error = 1.3e-30
relative error = 9.2323636663203792405925437329169e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.467
y[1] (analytic) = 1.408713493758699906138051821979
y[1] (numeric) = 1.4087134937586999061380518219785
absolute error = 5e-31
relative error = 3.5493377625418384295317204841377e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.468
y[1] (analytic) = 1.409336974386012246090901158439
y[1] (numeric) = 1.4093369743860122460909011584391
absolute error = 1e-31
relative error = 7.0955351216529117687604809361924e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.469
y[1] (analytic) = 1.409960555070635607083971458313
y[1] (numeric) = 1.4099605550706356070839714583122
absolute error = 8e-31
relative error = 5.6739175938146861039076891529321e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.47
y[1] (analytic) = 1.410584235802641588552109613773
y[1] (numeric) = 1.4105842358026415885521096137728
absolute error = 2e-31
relative error = 1.4178522269263649017370992174790e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.471
y[1] (analytic) = 1.411208016572106802909827113401
y[1] (numeric) = 1.4112080165721068029098271134015
absolute error = 5e-31
relative error = 3.5430637732240525426516274727251e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=919.3MB, alloc=4.4MB, time=88.62
x[1] = 1.472
y[1] (analytic) = 1.411831897369112871868944747155
y[1] (numeric) = 1.4118318973691128718689447471552
absolute error = 2e-31
relative error = 1.4165992450849939852005615639271e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.473
y[1] (analytic) = 1.412455878183746422759985702492
y[1] (numeric) = 1.412455878183746422759985702492
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.474
y[1] (analytic) = 1.413079959006099084857312167993
y[1] (numeric) = 1.4130799590060990848573121679923
absolute error = 7e-31
relative error = 4.9537182629944770534777499092961e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.475
y[1] (analytic) = 1.413704139826267485708000568574
y[1] (numeric) = 1.4137041398262674857080005685752
absolute error = 1.2e-30
relative error = 8.4883390109296139420880987673637e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.476
y[1] (analytic) = 1.414328420634353247464450564157
y[1] (numeric) = 1.4143284206343532474644505641559
absolute error = 1.1e-30
relative error = 7.7775429239174097830253831323983e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.477
y[1] (analytic) = 1.41495280142046298322072295132
y[1] (numeric) = 1.4149528014204629832207229513193
absolute error = 7e-31
relative error = 4.9471614833885202678359910444529e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=923.1MB, alloc=4.4MB, time=88.99
x[1] = 1.478
y[1] (analytic) = 1.4155772821747082933526016153
y[1] (numeric) = 1.4155772821747082933526016152996
absolute error = 4e-31
relative error = 2.8257023126670426259577691538973e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.479
y[1] (analytic) = 1.416201862887205761861374687259
y[1] (numeric) = 1.4162018628872057618613746872589
absolute error = 1e-31
relative error = 7.0611402668352907941257637467392e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.48
y[1] (analytic) = 1.416826543548076952721330069544
y[1] (numeric) = 1.4168265435480769527213300695434
absolute error = 6e-31
relative error = 4.2348162005594179791297665113329e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.481
y[1] (analytic) = 1.417451324147448406230960499269
y[1] (numeric) = 1.4174513241474484062309604992685
absolute error = 5e-31
relative error = 3.5274579908465921622032390414803e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.482
y[1] (analytic) = 1.418076204675451635367873328242
y[1] (numeric) = 1.4180762046754516353678733282415
absolute error = 5e-31
relative error = 3.5259036034275226050654484847104e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.483
y[1] (analytic) = 1.418701185122223122147400204877
y[1] (numeric) = 1.4187011851222231221474002048763
absolute error = 7e-31
relative error = 4.9340904719107146284404726189184e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=927.0MB, alloc=4.4MB, time=89.36
TOP MAIN SOLVE Loop
x[1] = 1.484
y[1] (analytic) = 1.419326265477904313984901851382
y[1] (numeric) = 1.4193262654779043139849018513814
absolute error = 6e-31
relative error = 4.2273578288074077575497354967011e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.485
y[1] (analytic) = 1.41995144573264162006176313712
y[1] (numeric) = 1.4199514457326416200617631371195
absolute error = 5e-31
relative error = 3.5212471630818247970456795561551e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.486
y[1] (analytic) = 1.420576725876586407695073656637
y[1] (numeric) = 1.420576725876586407695073656637
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.487
y[1] (analytic) = 1.421202105899894998710989028449
y[1] (numeric) = 1.4212021058998949987109890284491
absolute error = 1e-31
relative error = 7.0362969196897380000191226504293e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.488
y[1] (analytic) = 1.421827585792728665821768138238
y[1] (numeric) = 1.4218275857927286658217681382381
absolute error = 1e-31
relative error = 7.0332015639045148415730032464835e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=930.8MB, alloc=4.4MB, time=89.72
x[1] = 1.489
y[1] (analytic) = 1.422453165545253629006481557682
y[1] (numeric) = 1.422453165545253629006481557681
absolute error = 1.0e-30
relative error = 7.0301084367630535396544054166019e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.49
y[1] (analytic) = 1.423078845147641051895386377667
y[1] (numeric) = 1.4230788451476410518953863776671
absolute error = 1e-31
relative error = 7.0270175360259281623245589217365e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.491
y[1] (analytic) = 1.423704624590067038157962702196
y[1] (numeric) = 1.4237046245900670381579627021967
absolute error = 7e-31
relative error = 4.9167502016196217475850130025648e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.492
y[1] (analytic) = 1.424330503862712627894607056767
y[1] (numeric) = 1.4243305038627126278946070567672
absolute error = 2e-31
relative error = 1.4041684809642850987798602788852e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.493
y[1] (analytic) = 1.424956482955763794031977972556
y[1] (numeric) = 1.4249564829557637940319779725554
absolute error = 6e-31
relative error = 4.2106549019337760348308153268269e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.494
y[1] (analytic) = 1.425582561859411438721989015194
y[1] (numeric) = 1.4255825618594114387219890151941
absolute error = 1e-31
relative error = 7.0146761524333118407643464043652e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=934.6MB, alloc=4.4MB, time=90.10
x[1] = 1.495
y[1] (analytic) = 1.426208740563851389744444534414
y[1] (numeric) = 1.4262087405638513897444445344129
absolute error = 1.1e-30
relative error = 7.7127559852502038509151823088954e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.496
y[1] (analytic) = 1.426835019059284396913313418276
y[1] (numeric) = 1.4268350190592843969133134182758
absolute error = 2e-31
relative error = 1.4017037522099819155049086383737e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.497
y[1] (analytic) = 1.427461397335916128486636143193
y[1] (numeric) = 1.4274613973359161284866361431924
absolute error = 6e-31
relative error = 4.2032660296088239143705609760793e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.498
y[1] (analytic) = 1.428087875383957167580060418314
y[1] (numeric) = 1.4280878753839571675800604183138
absolute error = 2e-31
relative error = 1.4004740425810827315799250432068e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.499
y[1] (analytic) = 1.428714453193623008584000730342
y[1] (numeric) = 1.428714453193623008584000730341
absolute error = 1.0e-30
relative error = 6.9992992495084492725646386785978e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.5
y[1] (analytic) = 1.42934113075513405358441710218
y[1] (numeric) = 1.4293411307551340535844171021801
absolute error = 1e-31
relative error = 6.9962304902797473616841631931789e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=938.4MB, alloc=4.4MB, time=90.46
TOP MAIN SOLVE Loop
x[1] = 1.501
y[1] (analytic) = 1.429967908058715608787208386268
y[1] (numeric) = 1.4299679080587156087872083862684
absolute error = 4e-31
relative error = 2.7972655732045679230234825439012e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.502
y[1] (analytic) = 1.430594785094597880946215420773
y[1] (numeric) = 1.4305947850945978809462154207734
absolute error = 4e-31
relative error = 2.7960398301993674309541984380018e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.503
y[1] (analytic) = 1.431221761853015973794829384229
y[1] (numeric) = 1.4312217618530159737948293842297
absolute error = 7e-31
relative error = 4.8909261908769718828572536310441e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.504
y[1] (analytic) = 1.431848838324209884481200691529
y[1] (numeric) = 1.431848838324209884481200691529
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.505
y[1] (analytic) = 1.432476014498424500007043781514
y[1] (numeric) = 1.4324760144984245000070437815144
absolute error = 4e-31
relative error = 2.7923678717933600524955537463675e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=942.2MB, alloc=4.4MB, time=90.83
x[1] = 1.506
y[1] (analytic) = 1.433103290365909593670033153753
y[1] (numeric) = 1.4331032903659095936700331537526
absolute error = 4e-31
relative error = 2.7911456395991478277468688385453e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.507
y[1] (analytic) = 1.433730665916919821509786019368
y[1] (numeric) = 1.4337306659169198215097860193668
absolute error = 1.2e-30
relative error = 8.3697728487418446709823107016398e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.508
y[1] (analytic) = 1.434358141141714718757426938108
y[1] (numeric) = 1.4343581411417147187574269381078
absolute error = 2e-31
relative error = 1.3943519004312604327328178484553e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.509
y[1] (analytic) = 1.434985716030558696288729821123
y[1] (numeric) = 1.434985716030558696288729821123
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.51
y[1] (analytic) = 1.435613390573721037080832686153
y[1] (numeric) = 1.4356133905737210370808326861516
absolute error = 1.4e-30
relative error = 9.7519291000797318581456702847622e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.511
y[1] (analytic) = 1.436241164761475892672520559129
y[1] (numeric) = 1.4362411647614758926725205591282
absolute error = 8e-31
relative error = 5.5700951875506241894547019265386e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=946.0MB, alloc=4.4MB, time=91.21
x[1] = 1.512
y[1] (analytic) = 1.436869038584102279628071923419
y[1] (numeric) = 1.4368690385841022796280719234187
absolute error = 3e-31
relative error = 2.0878729511467618175939750318372e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.513
y[1] (analytic) = 1.43749701203188407600466412514
y[1] (numeric) = 1.43749701203188407600466412514
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.514
y[1] (analytic) = 1.438125085095110017823333150232
y[1] (numeric) = 1.4381250850951100178233331502306
absolute error = 1.4e-30
relative error = 9.7348972944687309621713199833237e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.515
y[1] (analytic) = 1.438753257764073695543483196138
y[1] (numeric) = 1.4387532577640736955434831961379
absolute error = 1e-31
relative error = 6.9504621074086887240716751828164e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.516
y[1] (analytic) = 1.439381530029073550540941468179
y[1] (numeric) = 1.4393815300290735505409414681783
absolute error = 7e-31
relative error = 4.8631998215640640561763076492546e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.517
y[1] (analytic) = 1.4400099018804128715895536378
y[1] (numeric) = 1.4400099018804128715895536377988
absolute error = 1.2e-30
relative error = 8.3332760311786748747094789180957e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=949.8MB, alloc=4.4MB, time=91.58
x[1] = 1.518
y[1] (analytic) = 1.44063837330839979134631540713
y[1] (numeric) = 1.4406383733083997913463154071301
absolute error = 1e-31
relative error = 6.9413672336348934622532425535903e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.519
y[1] (analytic) = 1.441266944303347282840035631372
y[1] (numeric) = 1.4412669443033472828400356313705
absolute error = 1.5e-30
relative error = 1.0407509905980963196842680182648e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.52
y[1] (analytic) = 1.441895614855573155963526457673
y[1] (numeric) = 1.4418956148555731559635264576726
absolute error = 4e-31
relative error = 2.7741259206205840716666633860966e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.521
y[1] (analytic) = 1.442524384955400053969315946328
y[1] (numeric) = 1.4425243849554000539693159463266
absolute error = 1.4e-30
relative error = 9.7052085538455918564718381722891e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.522
y[1] (analytic) = 1.443153254593155449968878647143
y[1] (numeric) = 1.4431532545931554499688786471437
absolute error = 7e-31
relative error = 4.8504897021303501825894507391921e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=953.7MB, alloc=4.4MB, time=91.95
x[1] = 1.523
y[1] (analytic) = 1.443782223759171643435379611035
y[1] (numeric) = 1.443782223759171643435379611036
absolute error = 1.0e-30
relative error = 6.9262523360088397703065720605363e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.524
y[1] (analytic) = 1.444411292443785756709927323873
y[1] (numeric) = 1.4444112924437857567099273238726
absolute error = 4e-31
relative error = 2.7692943283712757217431414566818e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.525
y[1] (analytic) = 1.44504046063733973151133105676
y[1] (numeric) = 1.4450404606373397315113310567603
absolute error = 3e-31
relative error = 2.0760664366981394933641664276431e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.526
y[1] (analytic) = 1.445669728330180325449358133952
y[1] (numeric) = 1.4456697283301803254493581339524
absolute error = 4e-31
relative error = 2.7668836952269844036116052965427e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.527
y[1] (analytic) = 1.446299095512659108541486626633
y[1] (numeric) = 1.4462990955126591085414866266324
absolute error = 6e-31
relative error = 4.1485194996082215563882897666278e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.528
y[1] (analytic) = 1.44692856217513245973314898785
y[1] (numeric) = 1.4469285621751324597331489878494
absolute error = 6e-31
relative error = 4.1467147424198649880188747824942e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=957.5MB, alloc=4.4MB, time=92.32
x[1] = 1.529
y[1] (analytic) = 1.447558128307961563421462150897
y[1] (numeric) = 1.4475581283079615634214621508972
absolute error = 2e-31
relative error = 1.3816370899991305093088381733035e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.53
y[1] (analytic) = 1.448187793901512405982439620435
y[1] (numeric) = 1.4481877939015124059824396204355
absolute error = 5e-31
relative error = 3.4525909008870139468633605098409e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.531
y[1] (analytic) = 1.448817558946155772301681092639
y[1] (numeric) = 1.4488175589461557723016810926393
absolute error = 3e-31
relative error = 2.0706540871730922817689309001457e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.532
y[1] (analytic) = 1.449447423432267242308535147645
y[1] (numeric) = 1.4494474234322672423085351476435
absolute error = 1.5e-30
relative error = 1.0348771371423912033815846957607e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.533
y[1] (analytic) = 1.450077387350227187513730564513
y[1] (numeric) = 1.4500773873502271875137305645121
absolute error = 9e-31
relative error = 6.2065653036945759154623281307785e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.534
y[1] (analytic) = 1.450707450690420767550471815917
y[1] (numeric) = 1.4507074506904207675504718159165
absolute error = 5e-31
relative error = 3.4465942789639632253095794973353e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=961.3MB, alloc=4.4MB, time=92.70
x[1] = 1.535
y[1] (analytic) = 1.451337613443237926718994306644
y[1] (numeric) = 1.4513376134432379267189943066436
absolute error = 4e-31
relative error = 2.7560782294549418528030906252475e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.536
y[1] (analytic) = 1.451967875599073390534574926984
y[1] (numeric) = 1.4519678755990733905345749269835
absolute error = 5e-31
relative error = 3.4436023578944743937969705311879e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.537
y[1] (analytic) = 1.452598237148326662278993498959
y[1] (numeric) = 1.4525982371483266622789934989597
absolute error = 7e-31
relative error = 4.8189511875920176093805104604546e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.538
y[1] (analytic) = 1.453228698081402019555440700265
y[1] (numeric) = 1.4532286980814020195554407002654
absolute error = 4e-31
relative error = 2.7524917483950909513837261440226e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.539
y[1] (analytic) = 1.453859258388708510846868057658
y[1] (numeric) = 1.4538592583887085108468680576577
absolute error = 3e-31
relative error = 2.0634734639478495535754279441285e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=965.1MB, alloc=4.4MB, time=93.07
x[1] = 1.54
y[1] (analytic) = 1.454489918060659952077775608438
y[1] (numeric) = 1.4544899180606599520777756084386
absolute error = 6e-31
relative error = 4.1251575040135604044065027226558e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.541
y[1] (analytic) = 1.455120677087674923179432835514
y[1] (numeric) = 1.4551206770876749231794328355132
absolute error = 8e-31
relative error = 5.4978257995834791820277422655732e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.542
y[1] (analytic) = 1.455751535460176764658528488366
y[1] (numeric) = 1.4557515354601767646585284883668
absolute error = 8e-31
relative error = 5.4954432848811144745239596516078e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.543
y[1] (analytic) = 1.45638249316859357416924490914
y[1] (numeric) = 1.4563824931685935741692449091399
absolute error = 1e-31
relative error = 6.8663280744630464385207669472541e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.544
y[1] (analytic) = 1.457013550203358203088752489808
y[1] (numeric) = 1.4570135502033582030887524898061
absolute error = 1.9e-30
relative error = 1.3040372889701769212470924134539e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.545
y[1] (analytic) = 1.457644706554908253096119893269
y[1] (numeric) = 1.4576447065549082530961198932694
absolute error = 4e-31
relative error = 2.7441529352196246980975130713478e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=968.9MB, alloc=4.4MB, time=93.45
x[1] = 1.546
y[1] (analytic) = 1.458275962213686072754635678
y[1] (numeric) = 1.4582759622136860727546356779991
absolute error = 9e-31
relative error = 6.1716713661917988766972745955509e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.547
y[1] (analytic) = 1.458907317170138754097536972607
y[1] (numeric) = 1.4589073171701387540975369726067
absolute error = 3e-31
relative error = 2.0563335070655060530475467200673e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.548
y[1] (analytic) = 1.459538771414718129217140853545
y[1] (numeric) = 1.4595387714147181292171408535454
absolute error = 4e-31
relative error = 2.7405918077276118433111377966645e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.549
y[1] (analytic) = 1.460170324937880766857374085876
y[1] (numeric) = 1.4601703249378807668573740858749
absolute error = 1.1e-30
relative error = 7.5333677257603266427878126417877e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.55
y[1] (analytic) = 1.460801977730087969009696893786
y[1] (numeric) = 1.4608019777300879690096968937852
absolute error = 8e-31
relative error = 5.4764438452027876983495086287673e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.551
y[1] (analytic) = 1.461433729781805767512416434312
y[1] (numeric) = 1.4614337297818057675124164343106
absolute error = 1.4e-30
relative error = 9.5796338312858160536157176471872e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=972.7MB, alloc=4.4MB, time=93.83
x[1] = 1.552
y[1] (analytic) = 1.46206558108350492065338565439
y[1] (numeric) = 1.4620655810835049206533856543906
absolute error = 6e-31
relative error = 4.1037830844451798357153850661150e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.553
y[1] (analytic) = 1.462697531625660909776083218149
y[1] (numeric) = 1.462697531625660909776083218148
absolute error = 1.0e-30
relative error = 6.8366834453366930690057734934872e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.554
y[1] (analytic) = 1.463329581398753935889070197955
y[1] (numeric) = 1.4633295813987539358890701979553
absolute error = 3e-31
relative error = 2.0501191516489318609888928650694e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.555
y[1] (analytic) = 1.46396173039326891627881922955
y[1] (numeric) = 1.4639617303932689162788192295492
absolute error = 8e-31
relative error = 5.4646237219950642773834487724865e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.556
y[1] (analytic) = 1.46459397859969548112591183813
y[1] (numeric) = 1.4645939785996954811259118381287
absolute error = 1.3e-30
relative error = 8.8761801495519974578607387881765e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.557
y[1] (analytic) = 1.465226326008527970124599649038
y[1] (numeric) = 1.465226326008527970124599649038
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
memory used=976.5MB, alloc=4.4MB, time=94.20
TOP MAIN SOLVE Loop
x[1] = 1.558
y[1] (analytic) = 1.465858772610265429105725203286
y[1] (numeric) = 1.4658587726102654291057252032858
absolute error = 2e-31
relative error = 1.3643879187887830310529369149156e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.559
y[1] (analytic) = 1.466491318395411606662998104792
y[1] (numeric) = 1.4664913183954116066629981047928
absolute error = 8e-31
relative error = 5.4551976541895569073479431051386e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.56
y[1] (analytic) = 1.467123963354474950782622232888
y[1] (numeric) = 1.4671239633544749507826222328877
absolute error = 3e-31
relative error = 2.0448169854309465734831673865357e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.561
y[1] (analytic) = 1.467756707477968605476269760186
y[1] (numeric) = 1.4677567074779686054762697601857
absolute error = 3e-31
relative error = 2.0439354728992309842906918519381e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.562
y[1] (analytic) = 1.46838955075641040741739772259
y[1] (numeric) = 1.4683895507564104074173977225891
absolute error = 9e-31
relative error = 6.1291637463395437222386675141919e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=980.4MB, alloc=4.4MB, time=94.57
x[1] = 1.563
y[1] (analytic) = 1.469022493180322882580902894739
y[1] (numeric) = 1.4690224931803228825809028947385
absolute error = 5e-31
relative error = 3.4036238541013604040216150879427e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.564
y[1] (analytic) = 1.469655534740233242886110730825
y[1] (numeric) = 1.4696555347402332428861107308245
absolute error = 5e-31
relative error = 3.4021577722182140399851856576683e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.565
y[1] (analytic) = 1.470288675426673382843094137236
y[1] (numeric) = 1.4702886754266733828430941372351
absolute error = 9e-31
relative error = 6.1212469023392476834259109719666e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.566
y[1] (analytic) = 1.47092191523017987620231785007
y[1] (numeric) = 1.4709219152301798762023178500709
absolute error = 9e-31
relative error = 6.1186116725928437354694809013503e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.567
y[1] (analytic) = 1.471555254141293972607604197102
y[1] (numeric) = 1.4715552541412939726076041971022
absolute error = 2e-31
relative error = 1.3591062886504202398645405669209e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.568
y[1] (analytic) = 1.472188692150561594252416030275
y[1] (numeric) = 1.4721886921505615942524160302739
absolute error = 1.1e-30
relative error = 7.4718682860763500544563871698248e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=984.2MB, alloc=4.4MB, time=94.94
x[1] = 1.569
y[1] (analytic) = 1.472822229248533332539452621384
y[1] (numeric) = 1.472822229248533332539452621383
absolute error = 1.0e-30
relative error = 6.7896856806012647375006221287831e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.57
y[1] (analytic) = 1.473455865425764444743554320063
y[1] (numeric) = 1.4734558654257644447435543200619
absolute error = 1.1e-30
relative error = 7.4654424731082664838909932104555e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.571
y[1] (analytic) = 1.474089600672814850677911779696
y[1] (numeric) = 1.4740896006728148506779117796951
absolute error = 9e-31
relative error = 6.1054633286145927644009608034944e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.572
y[1] (analytic) = 1.474723434980249129363575563381
y[1] (numeric) = 1.4747234349802491293635755633807
absolute error = 3e-31
relative error = 2.0342797360104193339168312910316e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.573
y[1] (analytic) = 1.475357368338636515702261948522
y[1] (numeric) = 1.4753573683386365157022619485218
absolute error = 2e-31
relative error = 1.3556037628036863981630815762347e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.574
y[1] (analytic) = 1.47599140073855089715245075509
y[1] (numeric) = 1.4759914007385508971524507550896
absolute error = 4e-31
relative error = 2.7100428891377655675403553155811e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=988.0MB, alloc=4.4MB, time=95.31
x[1] = 1.575
y[1] (analytic) = 1.476625532170570810408771029053
y[1] (numeric) = 1.4766255321705708104087710290519
absolute error = 1.1e-30
relative error = 7.4494174456204288557752545094361e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.576
y[1] (analytic) = 1.477259762625279438084670418895
y[1] (numeric) = 1.4772597626252794380846704188945
absolute error = 5e-31
relative error = 3.3846450884943625919665477051511e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.577
y[1] (analytic) = 1.47789409209326460539836408959
y[1] (numeric) = 1.4778940920932646053983640895889
absolute error = 1.1e-30
relative error = 7.4430231901257437188550919890937e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.578
y[1] (analytic) = 1.478528520565118776862059024776
y[1] (numeric) = 1.4785285205651187768620590247738
absolute error = 2.2e-30
relative error = 1.4879658859466048977678053976793e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.579
y[1] (analytic) = 1.479163048031439052974449574318
y[1] (numeric) = 1.4791630480314390529744495743167
absolute error = 1.3e-30
relative error = 8.7887538951849815955582736556096e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=991.8MB, alloc=4.4MB, time=95.70
x[1] = 1.58
y[1] (analytic) = 1.479797674482827166916480110816
y[1] (numeric) = 1.4797976744828271669164801108144
absolute error = 1.6e-30
relative error = 1.0812288920234870684599109313904e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.581
y[1] (analytic) = 1.480432399909889481250370664968
y[1] (numeric) = 1.4804323999098894812503706649674
absolute error = 6e-31
relative error = 4.0528699590506167079529197497619e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.582
y[1] (analytic) = 1.481067224303236984621901416131
y[1] (numeric) = 1.4810672243032369846219014161312
absolute error = 2e-31
relative error = 1.3503775974388287248004630158774e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.583
y[1] (analytic) = 1.481702147653485288465951920702
y[1] (numeric) = 1.4817021476534852884659519207013
absolute error = 7e-31
relative error = 4.7242963176409177856632952675888e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.584
y[1] (analytic) = 1.482337169951254623715290967332
y[1] (numeric) = 1.4823371699512546237152909673321
absolute error = 1e-31
relative error = 6.7461035199763906308420028891766e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.585
y[1] (analytic) = 1.482972291187169837512612954324
y[1] (numeric) = 1.4829722911871698375126129543231
absolute error = 9e-31
relative error = 6.0688928940103077779938366366945e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=995.6MB, alloc=4.4MB, time=96.08
x[1] = 1.586
y[1] (analytic) = 1.483607511351860389925816690825
y[1] (numeric) = 1.4836075113518603899258166908243
absolute error = 7e-31
relative error = 4.7182290103274100374023364714425e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.587
y[1] (analytic) = 1.484242830435960350666522529823
y[1] (numeric) = 1.4842428304359603506665225298233
absolute error = 3e-31
relative error = 2.0212326032383951118790858942642e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.588
y[1] (analytic) = 1.484878248430108395811823747172
y[1] (numeric) = 1.4848782484301083958118237471718
absolute error = 2e-31
relative error = 1.3469117768507320314376903213887e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.589
y[1] (analytic) = 1.485513765324947804529268087199
y[1] (numeric) = 1.4855137653249478045292680871982
absolute error = 8e-31
relative error = 5.3853422208107542300079410824273e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.59
y[1] (analytic) = 1.486149381111126455805065401725
y[1] (numeric) = 1.4861493811111264558050654017247
absolute error = 3e-31
relative error = 2.0186396052306909618280000827780e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.591
y[1] (analytic) = 1.486785095779296825175517315573
y[1] (numeric) = 1.4867850957792968251755173155715
absolute error = 1.5e-30
relative error = 1.0088882409826529750389421954118e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=999.4MB, alloc=4.4MB, time=96.46
x[1] = 1.592
y[1] (analytic) = 1.487420909320115981461664857884
y[1] (numeric) = 1.4874209093201159814616648578833
absolute error = 7e-31
relative error = 4.7061325789749885454868952222333e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.593
y[1] (analytic) = 1.488056821724245583507150004853
y[1] (numeric) = 1.4880568217242455835071500048527
absolute error = 3e-31
relative error = 2.0160520459990440173955149951000e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.594
y[1] (analytic) = 1.488692832982351876919287085644
y[1] (numeric) = 1.488692832982351876919287085644
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.595
y[1] (analytic) = 1.48932894308510569081334000954
y[1] (numeric) = 1.4893289430851056908133400095402
absolute error = 2e-31
relative error = 1.3428866801292753104064031274791e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.596
y[1] (analytic) = 1.489965152023182434560001278541
y[1] (numeric) = 1.489965152023182434560001278541
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1003.3MB, alloc=4.4MB, time=96.84
x[1] = 1.597
y[1] (analytic) = 1.490601459787262094536068755835
y[1] (numeric) = 1.4906014597872620945360687558356
absolute error = 6e-31
relative error = 4.0252207997007577343699834568567e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.598
y[1] (analytic) = 1.491237866368029230878316166758
y[1] (numeric) = 1.4912378663680292308783161667582
absolute error = 2e-31
relative error = 1.3411676601742160278186044741733e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.599
y[1] (analytic) = 1.491874371756172974240553315008
y[1] (numeric) = 1.4918743717561729742405533150071
absolute error = 9e-31
relative error = 6.0326795408420155566579925987864e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.6
y[1] (analytic) = 1.492510975942387022553872003069
y[1] (numeric) = 1.4925109759423870225538720030695
absolute error = 5e-31
relative error = 3.3500591155404721661938576780668e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.601
y[1] (analytic) = 1.493147678917369637790073651946
y[1] (numeric) = 1.4931476789173696377900736519452
absolute error = 8e-31
relative error = 5.3578089514900004035791053454701e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.602
y[1] (analytic) = 1.493784480671823642728274621402
y[1] (numeric) = 1.4937844806718236427282746214014
absolute error = 6e-31
relative error = 4.0166436843027876474323680973423e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1007.1MB, alloc=4.4MB, time=97.23
x[1] = 1.603
y[1] (analytic) = 1.494421381196456417724685238119
y[1] (numeric) = 1.4944213811964564177246852381195
absolute error = 5e-31
relative error = 3.3457765412837737806644124514831e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.604
y[1] (analytic) = 1.495058380481979897485558545212
y[1] (numeric) = 1.4950583804819798974855585452119
absolute error = 1e-31
relative error = 6.6887020136137961978227054195085e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.605
y[1] (analytic) = 1.495695478519110567843304792692
y[1] (numeric) = 1.4956954785191105678433047926924
absolute error = 4e-31
relative error = 2.6743411726833617098370410819167e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.606
y[1] (analytic) = 1.496332675298569462535767694581
y[1] (numeric) = 1.4963326752985694625357676945804
absolute error = 6e-31
relative error = 4.0098035009512808532680985597012e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.607
y[1] (analytic) = 1.496969970811082159988658484401
y[1] (numeric) = 1.4969699708110821599886584844013
absolute error = 3e-31
relative error = 2.0040482163944492780475560319077e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.608
y[1] (analytic) = 1.497607365047378780101143806921
y[1] (numeric) = 1.4976073650473787801011438069202
absolute error = 8e-31
relative error = 5.3418540711749968394615901387927e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1010.9MB, alloc=4.4MB, time=97.65
x[1] = 1.609
y[1] (analytic) = 1.498244857998193981034583490007
y[1] (numeric) = 1.4982448579981939810345834900074
absolute error = 4e-31
relative error = 2.6697905743820825396825919082689e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.61
y[1] (analytic) = 1.498882449654266956004414246585
y[1] (numeric) = 1.4988824496542669560044142465855
absolute error = 5e-31
relative error = 3.3358186301756370082442476469739e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.611
y[1] (analytic) = 1.49952014000634143007517536265
y[1] (numeric) = 1.4995201400063414300751753626483
absolute error = 1.7e-30
relative error = 1.1336960102401897356474028717614e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.612
y[1] (analytic) = 1.500157929045165656958672433371
y[1] (numeric) = 1.5001579290451656569586724333709
absolute error = 1e-31
relative error = 6.6659648336924714004713779032094e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.613
y[1] (analytic) = 1.50079581676149241581527521535
y[1] (numeric) = 1.5007958167614924158152752153497
absolute error = 3e-31
relative error = 1.9989394736411117174573167820880e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.614
y[1] (analytic) = 1.501433803146079008058345669017
y[1] (numeric) = 1.5014338031460790080583456690167
memory used=1014.7MB, alloc=4.4MB, time=98.02
absolute error = 3e-31
relative error = 1.9980900880970248023112971742389e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.615
y[1] (analytic) = 1.502071888189687254161792271272
y[1] (numeric) = 1.5020718881896872541617922712723
absolute error = 3e-31
relative error = 1.9972412929021868381114634661393e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.616
y[1] (analytic) = 1.502710071883083490470746684364
y[1] (numeric) = 1.5027100718830834904707466843635
absolute error = 5e-31
relative error = 3.3273218124733636924707685328208e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.617
y[1] (analytic) = 1.503348354217038566015358873013
y[1] (numeric) = 1.5033483542170385660153588730123
absolute error = 7e-31
relative error = 4.6562727662981890861379642753221e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.618
y[1] (analytic) = 1.503986735182327839327706767762
y[1] (numeric) = 1.5039867351823278393277067677623
absolute error = 3e-31
relative error = 1.9946984436909351748049110460053e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.619
y[1] (analytic) = 1.504625214769731175261816578465
y[1] (numeric) = 1.5046252147697311752618165784652
absolute error = 2e-31
relative error = 1.3292346694496152685673359737380e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1018.5MB, alloc=4.4MB, time=98.41
x[1] = 1.62
y[1] (analytic) = 1.505263792970032941816789867771
y[1] (numeric) = 1.5052637929700329418167898677722
absolute error = 1.2e-30
relative error = 7.9720246086055284034086009876284e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.621
y[1] (analytic) = 1.505902469774022006963033500427
y[1] (numeric) = 1.5059024697740220069630335004274
absolute error = 4e-31
relative error = 2.6562145160703840438067961902824e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.622
y[1] (analytic) = 1.506541245172491735471588590082
y[1] (numeric) = 1.5065412451724917354715885900823
absolute error = 3e-31
relative error = 1.9913162083103236986756700734863e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.623
y[1] (analytic) = 1.507180119156239985746554571261
y[1] (numeric) = 1.5071801191562399857465545712613
absolute error = 3e-31
relative error = 1.9904721153563787587804593754643e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.624
y[1] (analytic) = 1.507819091716069106660604530007
y[1] (numeric) = 1.5078190917160691066606045300072
absolute error = 2e-31
relative error = 1.3264190717493656407317921683542e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.625
y[1] (analytic) = 1.508458162842785934393587932628
y[1] (numeric) = 1.5084581628427859343935879326282
absolute error = 2e-31
relative error = 1.3258571230314217131688462275728e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1022.3MB, alloc=4.4MB, time=98.78
x[1] = 1.626
y[1] (analytic) = 1.509097332527201789274216897845
y[1] (numeric) = 1.509097332527201789274216897844
absolute error = 1.0e-30
relative error = 6.6264778185337809857602220691859e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.627
y[1] (analytic) = 1.509736600760132472624832163498
y[1] (numeric) = 1.5097366007601324726248321634991
absolute error = 1.1e-30
relative error = 7.2860391636936171745854253731935e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.628
y[1] (analytic) = 1.510375967532398263609244904869
y[1] (numeric) = 1.5103759675323982636092449048688
absolute error = 2e-31
relative error = 1.3241736117316095167958327590061e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.629
y[1] (analytic) = 1.51101543283482391608365056743
y[1] (numeric) = 1.5110154328348239160836505674309
absolute error = 9e-31
relative error = 5.9562594824826197629618130081912e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.63
y[1] (analytic) = 1.511654996658238655450610882814
y[1] (numeric) = 1.5116549966582386554506108828131
absolute error = 9e-31
relative error = 5.9537394576778275302143727973502e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.631
y[1] (analytic) = 1.512294658993476175516100242453
y[1] (numeric) = 1.5122946589934761755161002424525
absolute error = 5e-31
relative error = 3.3062339870510441908756520418586e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1026.1MB, alloc=4.4MB, time=99.15
TOP MAIN SOLVE Loop
x[1] = 1.632
y[1] (analytic) = 1.51293441983137463534961260932
y[1] (numeric) = 1.5129344198313746353496126093203
absolute error = 3e-31
relative error = 1.9829015459469601440167664646179e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.633
y[1] (analytic) = 1.513574279162776656147325153869
y[1] (numeric) = 1.5135742791627766561473251538693
absolute error = 3e-31
relative error = 1.9820632798143409564635060111155e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.634
y[1] (analytic) = 1.514214236978529318098314806158
y[1] (numeric) = 1.5142142369785293180983148061582
absolute error = 2e-31
relative error = 1.3208170621819076470566998715947e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.635
y[1] (analytic) = 1.514854293269484157253823921891
y[1] (numeric) = 1.5148542932694841572538239218904
absolute error = 6e-31
relative error = 3.9607769715266162273455014582467e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.636
y[1] (analytic) = 1.51549444802649716239957126588
y[1] (numeric) = 1.5154944480264971623995712658807
absolute error = 7e-31
relative error = 4.6189545656967070662316891491125e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1030.0MB, alloc=4.4MB, time=99.52
x[1] = 1.637
y[1] (analytic) = 1.516134701240428771931104522227
y[1] (numeric) = 1.516134701240428771931104522226
absolute error = 1.0e-30
relative error = 6.5957200186886291285442263155516e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.638
y[1] (analytic) = 1.516775052902143870732190546211
y[1] (numeric) = 1.516775052902143870732190546211
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.639
y[1] (analytic) = 1.517415503002511787056239578722
y[1] (numeric) = 1.5174155030025117870562395787231
absolute error = 1.1e-30
relative error = 7.2491680612424793669023597544128e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.64
y[1] (analytic) = 1.518056051532406289410759649683
y[1] (numeric) = 1.518056051532406289410759649683
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.641
y[1] (analytic) = 1.518696698482705583444837402721
y[1] (numeric) = 1.5186966984827055834448374027217
absolute error = 7e-31
relative error = 4.6092152613445045220279080605533e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.642
y[1] (analytic) = 1.519337443844292308839641579047
y[1] (numeric) = 1.5193374438442923088396415790468
absolute error = 2e-31
relative error = 1.3163632661744416830842817380413e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1033.8MB, alloc=4.4MB, time=99.90
x[1] = 1.643
y[1] (analytic) = 1.519978287608053536201945404142
y[1] (numeric) = 1.5199782876080535362019454041429
absolute error = 9e-31
relative error = 5.9211372118762585849897165838357e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.644
y[1] (analytic) = 1.520619229764880763960664126644
y[1] (numeric) = 1.5206192297648807639606641266438
absolute error = 2e-31
relative error = 1.3152536551239335797369098112691e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.645
y[1] (analytic) = 1.521260270305669915266403964396
y[1] (numeric) = 1.5212602703056699152664039643959
absolute error = 1e-31
relative error = 6.5734971163025770031158708177187e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.646
y[1] (analytic) = 1.521901409221321334894018718405
y[1] (numeric) = 1.5219014092213213348940187184046
absolute error = 4e-31
relative error = 2.6282911466956287540457834411676e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.647
y[1] (analytic) = 1.522542646502739786148170321016
y[1] (numeric) = 1.5225426465027397861481703210167
absolute error = 7e-31
relative error = 4.5975723675648146351689960975905e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.648
y[1] (analytic) = 1.523183982140834447771889590344
y[1] (numeric) = 1.5231839821408344477718895903434
absolute error = 6e-31
relative error = 3.9391170537173076870177395475388e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1037.6MB, alloc=4.4MB, time=100.27
x[1] = 1.649
y[1] (analytic) = 1.523825416126518910858133468571
y[1] (numeric) = 1.5238254161265189108581334685708
absolute error = 2e-31
relative error = 1.3124863116431611358126202254395e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.65
y[1] (analytic) = 1.524466948450711175764335027436
y[1] (numeric) = 1.5244669484507111757643350274357
absolute error = 3e-31
relative error = 1.9679009787971113402312794600636e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.651
y[1] (analytic) = 1.525108579104333649029942529766
y[1] (numeric) = 1.5251085791043336490299425297655
absolute error = 5e-31
relative error = 3.2784551005125168967938131981026e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.652
y[1] (analytic) = 1.525750308078313140296943841594
y[1] (numeric) = 1.525750308078313140296943841594
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.653
y[1] (analytic) = 1.526392135363580859233372494965
y[1] (numeric) = 1.526392135363580859233372494964
absolute error = 1.0e-30
relative error = 6.5513964389092175540873904766379e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1041.4MB, alloc=4.4MB, time=100.64
x[1] = 1.654
y[1] (analytic) = 1.527034060951072412459791707122
y[1] (numeric) = 1.527034060951072412459791707121
absolute error = 1.0e-30
relative error = 6.5486424014483127330624632213787e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.655
y[1] (analytic) = 1.527676084831727800478752667384
y[1] (numeric) = 1.5276760848317278004787526673826
absolute error = 1.4e-30
relative error = 9.1642463602106384299307985845010e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.656
y[1] (analytic) = 1.528318206996491414607223408539
y[1] (numeric) = 1.5283182069964914146072234085396
absolute error = 6e-31
relative error = 3.9258840027767687905754811611748e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.657
y[1] (analytic) = 1.528960427436312033911984585208
y[1] (numeric) = 1.5289604274363120339119845852079
absolute error = 1e-31
relative error = 6.5403916416381837593864031610527e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.658
y[1] (analytic) = 1.529602746142142822147988487099
y[1] (numeric) = 1.5296027461421428221479884870989
absolute error = 1e-31
relative error = 6.5376451665122211187700082589338e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.659
y[1] (analytic) = 1.530245163104941324699677620723
y[1] (numeric) = 1.5302451631049413246996776207211
absolute error = 1.9e-30
relative error = 1.2416311097136933649358735183883e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1045.2MB, alloc=4.4MB, time=101.01
x[1] = 1.66
y[1] (analytic) = 1.530887678315669465525259198557
y[1] (numeric) = 1.5308876783156694655252591985555
absolute error = 1.5e-30
relative error = 9.7982368089234798997691089003427e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.661
y[1] (analytic) = 1.53153029176529354410393188027
y[1] (numeric) = 1.5315302917652935441039318802694
absolute error = 6e-31
relative error = 3.9176502301395536491004451303035e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.662
y[1] (analytic) = 1.532173003444784232386061116047
y[1] (numeric) = 1.5321730034447842323860611160468
absolute error = 2e-31
relative error = 1.3053356216976806355444021979087e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.663
y[1] (analytic) = 1.532815813345116571746299447614
y[1] (numeric) = 1.5328158133451165717462994476141
absolute error = 1e-31
relative error = 6.5239410455824152122533123720224e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.664
y[1] (analytic) = 1.533458721457269969939648128034
y[1] (numeric) = 1.5334587214572699699396481280342
absolute error = 2e-31
relative error = 1.3042411719432320333789192637913e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.665
y[1] (analytic) = 1.534101727772228198060456426823
y[1] (numeric) = 1.5341017277722281980604564268231
absolute error = 1e-31
relative error = 6.5184725490933833550837704515005e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1049.0MB, alloc=4.5MB, time=101.39
x[1] = 1.666
y[1] (analytic) = 1.534744832280979387504354992418
y[1] (numeric) = 1.5347448322809793875043549924176
absolute error = 4e-31
relative error = 2.6062964447680149746836255654299e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.667
y[1] (analytic) = 1.535388034974516026933119649486
y[1] (numeric) = 1.5353880349745160269331196494858
absolute error = 2e-31
relative error = 1.3026023092808558210280500708637e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.668
y[1] (analytic) = 1.536031335843834959242462014025
y[1] (numeric) = 1.5360313358438349592424620140247
absolute error = 3e-31
relative error = 1.9530851552269397340400075324845e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.669
y[1] (analytic) = 1.536674734879937378532743314635
y[1] (numeric) = 1.5366747348799373785327433146341
absolute error = 9e-31
relative error = 5.8568022208702370759371738852664e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.67
y[1] (analytic) = 1.537318232073828827082607813792
y[1] (numeric) = 1.5373182320738288270826078137905
absolute error = 1.5e-30
relative error = 9.7572510928756314888110290029363e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.671
y[1] (analytic) = 1.537961827416519192325532228369
y[1] (numeric) = 1.5379618274165191923255322283682
absolute error = 8e-31
relative error = 5.2016895721257693222902282358165e-29 %
Correct digits = 30
h = 0.001
memory used=1052.8MB, alloc=4.5MB, time=101.76
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.672
y[1] (analytic) = 1.538605520899022703829287554071
y[1] (numeric) = 1.5386055208990227038292875540707
absolute error = 3e-31
relative error = 1.9498175193385954976883884453680e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.673
y[1] (analytic) = 1.539249312512357930278309703841
y[1] (numeric) = 1.5392493125123579302783097038403
absolute error = 7e-31
relative error = 4.5476713506369035292456319508714e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.674
y[1] (analytic) = 1.539893202247547776458975375711
y[1] (numeric) = 1.5398932022475477764589753757105
absolute error = 5e-31
relative error = 3.2469784220764536574690985965716e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.675
y[1] (analytic) = 1.540537190095619480247779570951
y[1] (numeric) = 1.5405371900956194802477795709506
absolute error = 4e-31
relative error = 2.5964968750619544071776625334981e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.676
y[1] (analytic) = 1.541181276047604609602411188729
y[1] (numeric) = 1.5411812760476046096024111887296
absolute error = 6e-31
relative error = 3.8931176320719001876771786780262e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1056.7MB, alloc=4.5MB, time=102.13
x[1] = 1.677
y[1] (analytic) = 1.541825460094539059555723128893
y[1] (numeric) = 1.5418254600945390595557231288939
absolute error = 9e-31
relative error = 5.8372365957999896705745267945098e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.678
y[1] (analytic) = 1.542469742227463049212593339809
y[1] (numeric) = 1.542469742227463049212593339809
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.679
y[1] (analytic) = 1.543114122437421118749673253567
y[1] (numeric) = 1.5431141224374211187496732535665
absolute error = 5e-31
relative error = 3.2402010501350771979235690110559e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.68
y[1] (analytic) = 1.543758600715462126418020056193
y[1] (numeric) = 1.5437586007154621264180200561934
absolute error = 4e-31
relative error = 2.5910786816968542469507658236470e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.681
y[1] (analytic) = 1.544403177052639245548609245832
y[1] (numeric) = 1.5444031770526392455486092458321
absolute error = 1e-31
relative error = 6.4749931550154802908616239156029e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.682
y[1] (analytic) = 1.545047851440009961560723937177
y[1] (numeric) = 1.5450478514400099615607239371776
absolute error = 6e-31
relative error = 3.8833748704986072127199292437038e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1060.5MB, alloc=4.5MB, time=102.50
x[1] = 1.683
y[1] (analytic) = 1.54569262386863606897321737577
y[1] (numeric) = 1.5456926238686360689732173757703
absolute error = 3e-31
relative error = 1.9408774769795118689894016584982e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.684
y[1] (analytic) = 1.546337494329583668418645131043
y[1] (numeric) = 1.5463374943295836684186451310423
absolute error = 7e-31
relative error = 4.5268254993938808584684680196395e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.685
y[1] (analytic) = 1.546982462813923163660263442307
y[1] (numeric) = 1.5469824628139231636602634423075
absolute error = 5e-31
relative error = 3.2320986954856117848530207994854e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.686
y[1] (analytic) = 1.547627529312729258611890197167
y[1] (numeric) = 1.547627529312729258611890197168
absolute error = 1.0e-30
relative error = 6.4615030494067277229471965047334e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.687
y[1] (analytic) = 1.548272693817080954360625027083
y[1] (numeric) = 1.5482726938170809543606250270816
absolute error = 1.4e-30
relative error = 9.0423347617690499971928973898550e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.688
y[1] (analytic) = 1.5489179563180615461924250101
y[1] (numeric) = 1.5489179563180615461924250100997
absolute error = 3e-31
relative error = 1.9368359620100930376211461914891e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1064.3MB, alloc=4.5MB, time=102.87
x[1] = 1.689
y[1] (analytic) = 1.549563316806758620620532476038
y[1] (numeric) = 1.549563316806758620620532476038
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) = 1.550208775274264052416751414589
y[1] (numeric) = 1.5502087752742640524167514145881
absolute error = 9e-31
relative error = 5.8056696256333044698969439266768e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.691
y[1] (analytic) = 1.550854331711674001645568992115
y[1] (numeric) = 1.5508543317116740016455689921138
absolute error = 1.2e-30
relative error = 7.7376706210412620537139345448947e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.692
y[1] (analytic) = 1.551499986110088910701118688103
y[1] (numeric) = 1.5514999861100889107011186881024
absolute error = 6e-31
relative error = 3.8672253004933390822685330716413e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.693
y[1] (analytic) = 1.552145738460613501346981567457
y[1] (numeric) = 1.5521457384606135013469815674572
absolute error = 2e-31
relative error = 1.2885387953218614796501639790550e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1068.1MB, alloc=4.5MB, time=103.25
x[1] = 1.694
y[1] (analytic) = 1.552791588754356771758822210028
y[1] (numeric) = 1.5527915887543567717588222100283
absolute error = 3e-31
relative error = 1.9320042829486138909265301265557e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.695
y[1] (analytic) = 1.553437536982431993569855823976
y[1] (numeric) = 1.5534375369824319935698558239743
absolute error = 1.7e-30
relative error = 1.0943471877873294228449289747010e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.696
y[1] (analytic) = 1.554083583135956708919143074741
y[1] (numeric) = 1.5540835831359567089191430747395
absolute error = 1.5e-30
relative error = 9.6519905124612252823772211458765e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.697
y[1] (analytic) = 1.554729727206052727502709166611
y[1] (numeric) = 1.554729727206052727502709166611
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.698
y[1] (analytic) = 1.555375969183846123627483718991
y[1] (numeric) = 1.5553759691838461236274837189911
absolute error = 1e-31
relative error = 6.4293136824322348790896683496604e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.699
y[1] (analytic) = 1.556022309060467233268057984684
y[1] (numeric) = 1.5560223090604672332680579846832
absolute error = 8e-31
relative error = 5.1413144615069390622416969417810e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1071.9MB, alloc=4.5MB, time=103.62
x[1] = 1.7
y[1] (analytic) = 1.556668746827050651126255962643
y[1] (numeric) = 1.5566687468270506511262559626425
absolute error = 5e-31
relative error = 3.2119871425384960753585878826629e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.701
y[1] (analytic) = 1.557315282474735227693515962787
y[1] (numeric) = 1.5573152824747352276935159627863
absolute error = 7e-31
relative error = 4.4949151137053475919284439521122e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.702
y[1] (analytic) = 1.557961915994664066316079185594
y[1] (numeric) = 1.5579619159946640663160791855949
absolute error = 9e-31
relative error = 5.7767779222344126311106700359877e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.703
y[1] (analytic) = 1.558608647377984520262981884359
y[1] (numeric) = 1.5586086473779845202629818843586
absolute error = 4e-31
relative error = 2.5663915099721269134574459472650e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.704
y[1] (analytic) = 1.559255476615848189796847683045
y[1] (numeric) = 1.559255476615848189796847683045
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.705
y[1] (analytic) = 1.559902403699410919247476627867
y[1] (numeric) = 1.5599024036994109192474766278669
absolute error = 1e-31
relative error = 6.4106574720856534025532034605133e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1075.7MB, alloc=4.5MB, time=103.99
x[1] = 1.706
y[1] (analytic) = 1.560549428619832794088227555732
y[1] (numeric) = 1.560549428619832794088227555732
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.707
y[1] (analytic) = 1.561196551368278138015190367844
y[1] (numeric) = 1.5611965513682781380151903678438
absolute error = 2e-31
relative error = 1.2810686766167538203240610791072e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.708
y[1] (analytic) = 1.561843771935915510029144801806
y[1] (numeric) = 1.5618437719359155100291448018054
absolute error = 6e-31
relative error = 3.8416134237055995616720135029003e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.709
y[1] (analytic) = 1.562491090313917701520302300651
y[1] (numeric) = 1.56249109031391770152030230065
absolute error = 1.0e-30
relative error = 6.4000364942822907579388820246193e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.71
y[1] (analytic) = 1.563138506493461733355827582284
y[1] (numeric) = 1.5631385064934617333558275822844
absolute error = 4e-31
relative error = 2.5589542982810084881831374380466e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1079.5MB, alloc=4.5MB, time=104.36
x[1] = 1.711
y[1] (analytic) = 1.563786020465728852970136517887
y[1] (numeric) = 1.5637860204657288529701365178862
absolute error = 8e-31
relative error = 5.1157894336575724439753684952043e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.712
y[1] (analytic) = 1.564433632221904531457966932843
y[1] (numeric) = 1.5644336322219045314579669328424
absolute error = 6e-31
relative error = 3.8352537790167757063055042630976e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.713
y[1] (analytic) = 1.565081341753178460670218948853
y[1] (numeric) = 1.5650813417531784606702189488509
absolute error = 2.1e-30
relative error = 1.3417832952040782928004879562416e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.714
y[1] (analytic) = 1.565729149050744550312561490837
y[1] (numeric) = 1.5657291490507445503125614908373
absolute error = 3e-31
relative error = 1.9160402051777675638121917163949e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.715
y[1] (analytic) = 1.566377054105800925046801587356
y[1] (numeric) = 1.5663770541058009250468015873557
absolute error = 3e-31
relative error = 1.9152476679458335738858450661057e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.716
y[1] (analytic) = 1.567025056909549921595013098153
y[1] (numeric) = 1.5670250569095499215950130981537
absolute error = 7e-31
relative error = 4.4670632222086071076072154600342e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1083.4MB, alloc=4.5MB, time=104.73
x[1] = 1.717
y[1] (analytic) = 1.567673157453198085846421507582
y[1] (numeric) = 1.5676731574531980858464215075832
absolute error = 1.2e-30
relative error = 7.6546568032681599261111683553357e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.718
y[1] (analytic) = 1.568321355727956169967041427531
y[1] (numeric) = 1.5683213557279561699670414275308
absolute error = 2e-31
relative error = 1.2752488466062331554935942293069e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.719
y[1] (analytic) = 1.568969651725039129512063458525
y[1] (numeric) = 1.5689696517250391295120634585248
absolute error = 2e-31
relative error = 1.2747219156221758759356318467474e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.72
y[1] (analytic) = 1.569618045435666120540987062653
y[1] (numeric) = 1.5696180454356661205409870626524
absolute error = 6e-31
relative error = 3.8225860217697922665391818213808e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.721
y[1] (analytic) = 1.570266536851060496735496106885
y[1] (numeric) = 1.5702665368510604967354961068856
absolute error = 6e-31
relative error = 3.8210073635219413318574524235911e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.722
y[1] (analytic) = 1.570915125962449806520073740374
y[1] (numeric) = 1.5709151259624498065200737403735
absolute error = 5e-31
relative error = 3.1828581425980342486521546872894e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1087.2MB, alloc=4.5MB, time=105.10
x[1] = 1.723
y[1] (analytic) = 1.571563812761065790185353274206
y[1] (numeric) = 1.5715638127610657901853532742054
absolute error = 6e-31
relative error = 3.8178532435527743650945010255855e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.724
y[1] (analytic) = 1.572212597238144377014201737092
y[1] (numeric) = 1.5722125972381443770142017370923
absolute error = 3e-31
relative error = 1.9081388899122193286976214555991e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.725
y[1] (analytic) = 1.572861479384925682410532785344
y[1] (numeric) = 1.5728614793849256824105327853435
absolute error = 5e-31
relative error = 3.1789194824424536935923654957342e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.726
y[1] (analytic) = 1.57351045919265400503084565044
y[1] (numeric) = 1.5735104591926540050308456504401
absolute error = 1e-31
relative error = 6.3552167331196888113760195935974e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.727
y[1] (analytic) = 1.57415953665257782391848681242
y[1] (numeric) = 1.57415953665257782391848681242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.728
y[1] (analytic) = 1.574808711755949795640631092196
y[1] (numeric) = 1.5748087117559497956406310921958
absolute error = 2e-31
relative error = 1.2699955144202571980880339528240e-29 %
Correct digits = 30
h = 0.001
memory used=1091.0MB, alloc=4.5MB, time=105.47
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.729
y[1] (analytic) = 1.575457984494026751427978860826
y[1] (numeric) = 1.5754579844940267514279788608243
absolute error = 1.7e-30
relative error = 1.0790513087189507602441193594594e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.73
y[1] (analytic) = 1.576107354858069694317166068635
y[1] (numeric) = 1.5761073548580696943171660686346
absolute error = 4e-31
relative error = 2.5378981880077608454633801491810e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.731
y[1] (analytic) = 1.576756822839343796295883802002
y[1] (numeric) = 1.5767568228393437962958838020019
absolute error = 1e-31
relative error = 6.3421320619323572512996262287189e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.732
y[1] (analytic) = 1.577406388429118395450704080427
y[1] (numeric) = 1.5774063884291183954507040804268
absolute error = 2e-31
relative error = 1.2679040827213380312729040679498e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.733
y[1] (analytic) = 1.578056051618666993117608611441
y[1] (numeric) = 1.5780560516186669931176086114408
absolute error = 2e-31
relative error = 1.2673821046777967230569056751361e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1094.8MB, alloc=4.5MB, time=105.84
x[1] = 1.734
y[1] (analytic) = 1.578705812399267251035217225717
y[1] (numeric) = 1.5787058123992672510352172257166
absolute error = 4e-31
relative error = 2.5337209558511261115614350378894e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.735
y[1] (analytic) = 1.579355670762200988500712719605
y[1] (numeric) = 1.5793556707622009885007127196046
absolute error = 4e-31
relative error = 2.5326784042695018891541877645155e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.736
y[1] (analytic) = 1.580005626698754179528458837158
y[1] (numeric) = 1.5800056266987541795284588371572
absolute error = 8e-31
relative error = 5.0632731079034884105902469271372e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.737
y[1] (analytic) = 1.580655680200216950011308128531
y[1] (numeric) = 1.5806556802002169500113081285308
absolute error = 2e-31
relative error = 1.2652977021198354553885194412326e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.738
y[1] (analytic) = 1.581305831257883574884596426477
y[1] (numeric) = 1.5813058312578835748845964264757
absolute error = 1.3e-30
relative error = 8.2210536020466526109877608310013e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.739
y[1] (analytic) = 1.581956079863052475292820687439
y[1] (numeric) = 1.5819560798630524752928206874382
absolute error = 8e-31
relative error = 5.0570304080076279973244147934130e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1098.6MB, alloc=4.5MB, time=106.20
x[1] = 1.74
y[1] (analytic) = 1.582606426007026215758996948603
y[1] (numeric) = 1.5826064260070262157589969486014
absolute error = 1.6e-30
relative error = 1.0109904608670510749535275410708e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.741
y[1] (analytic) = 1.583256869681111501356695156988
y[1] (numeric) = 1.5832568696811115013566951569881
absolute error = 1e-31
relative error = 6.3160944957807951220503968328106e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.742
y[1] (analytic) = 1.583907410876619174884747631537
y[1] (numeric) = 1.5839074108766191748847476315364
absolute error = 6e-31
relative error = 3.7881002126754863260496256884237e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.743
y[1] (analytic) = 1.584558049584864214044627923837
y[1] (numeric) = 1.584558049584864214044627923837
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.744
y[1] (analytic) = 1.585208785797165728620496847994
y[1] (numeric) = 1.5852087857971657286204968479927
absolute error = 1.3e-30
relative error = 8.2008124838032570839360507712069e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.745
y[1] (analytic) = 1.585859619504846957661912454822
y[1] (numeric) = 1.585859619504846957661912454822
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
memory used=1102.4MB, alloc=4.5MB, time=106.57
TOP MAIN SOLVE Loop
x[1] = 1.746
y[1] (analytic) = 1.586510550699235266669200730385
y[1] (numeric) = 1.5865105506992352666692007303841
absolute error = 9e-31
relative error = 5.6728270707266076802528792804704e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.747
y[1] (analytic) = 1.587161579371662144781483803547
y[1] (numeric) = 1.5871615793716621447814838035471
absolute error = 1e-31
relative error = 6.3005557404929608242319330353558e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.748
y[1] (analytic) = 1.587812705513463201967362452059
y[1] (numeric) = 1.5878127055134632019673624520595
absolute error = 5e-31
relative error = 3.1489860124170700341599134910234e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.749
y[1] (analytic) = 1.588463929115978166218249701315
y[1] (numeric) = 1.5884639291159781662182497013144
absolute error = 6e-31
relative error = 3.7772340246587515204715102001711e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.75
y[1] (analytic) = 1.589115250170550880744352314716
y[1] (numeric) = 1.5891152501705508807443523147166
absolute error = 6e-31
relative error = 3.7756858725986384241258107686363e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1106.3MB, alloc=4.5MB, time=106.94
x[1] = 1.751
y[1] (analytic) = 1.589766668668529301173296979277
y[1] (numeric) = 1.5897666686685293011732969792757
absolute error = 1.3e-30
relative error = 8.1773006417903051144232283233503e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.752
y[1] (analytic) = 1.590418184601265492751397994754
y[1] (numeric) = 1.5904181846012654927513979947538
absolute error = 2e-31
relative error = 1.2575308930471144990014281238882e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.753
y[1] (analytic) = 1.591069797960115627547563279393
y[1] (numeric) = 1.5910697979601156275475632793914
absolute error = 1.6e-30
relative error = 1.0056127028816294780705984437032e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.754
y[1] (analytic) = 1.591721508736439981659835509926
y[1] (numeric) = 1.5917215087364399816598355099254
absolute error = 6e-31
relative error = 3.7695036267763913498806041862591e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.755
y[1] (analytic) = 1.592373316921602932424565218293
y[1] (numeric) = 1.5923733169216029324245652182916
absolute error = 1.4e-30
relative error = 8.7919081858674851307901383609047e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.756
y[1] (analytic) = 1.593025222506972955628212672078
y[1] (numeric) = 1.5930252225069729556282126720769
absolute error = 1.1e-30
relative error = 6.9051009642453109604596915978804e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1110.1MB, alloc=4.5MB, time=107.31
x[1] = 1.757
y[1] (analytic) = 1.593677225483922622721775370452
y[1] (numeric) = 1.5936772254839226227217753704514
absolute error = 6e-31
relative error = 3.7648777958649000978213017514117e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.758
y[1] (analytic) = 1.594329325843828598037837991964
y[1] (numeric) = 1.5943293258438285980378379919643
absolute error = 3e-31
relative error = 1.8816689572038035001779785473718e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.759
y[1] (analytic) = 1.594981523578071636010241635238
y[1] (numeric) = 1.5949815235780716360102416352377
absolute error = 3e-31
relative error = 1.8808995312183972746985135621530e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.76
y[1] (analytic) = 1.595633818678036578396369198231
y[1] (numeric) = 1.5956338186780365783963691982305
absolute error = 5e-31
relative error = 3.1335510324934325124072690601799e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.761
y[1] (analytic) = 1.596286211135112351502043746377
y[1] (numeric) = 1.5962862111351123515020437463771
absolute error = 1e-31
relative error = 6.2645407385239783730348062941741e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.762
y[1] (analytic) = 1.59693870094069196340903672453
y[1] (numeric) = 1.5969387009406919634090367245295
absolute error = 5e-31
relative error = 3.1309905615379615643679325406607e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1113.9MB, alloc=4.5MB, time=107.68
x[1] = 1.763
y[1] (analytic) = 1.597591288086172501205182872246
y[1] (numeric) = 1.5975912880861725012051828722463
absolute error = 3e-31
relative error = 1.8778269651143609350888985549623e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.764
y[1] (analytic) = 1.598243972562955128217098706581
y[1] (numeric) = 1.5982439725629551282170987065808
absolute error = 2e-31
relative error = 1.2513734037693795381532286562631e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.765
y[1] (analytic) = 1.59889675436244508124550144112
y[1] (numeric) = 1.598896754362445081245501441119
absolute error = 1.0e-30
relative error = 6.2543125268819922740674341841961e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.766
y[1] (analytic) = 1.599549633476051667803125214612
y[1] (numeric) = 1.5995496334760516678031252146117
absolute error = 3e-31
relative error = 1.8755279218692126728041528589267e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.767
y[1] (analytic) = 1.600202609895188263355231507128
y[1] (numeric) = 1.6002026098951882633552315071266
absolute error = 1.4e-30
relative error = 8.7488921174281715341942683737146e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1117.7MB, alloc=4.5MB, time=108.05
x[1] = 1.768
y[1] (analytic) = 1.600855683611272308562710626224
y[1] (numeric) = 1.6008556836112723085627106262243
absolute error = 3e-31
relative error = 1.8739977817566188754968693954307e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.769
y[1] (analytic) = 1.601508854615725306527771150229
y[1] (numeric) = 1.6015088546157253065277711502284
absolute error = 6e-31
relative error = 3.7464669537775814797269510531005e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.77
y[1] (analytic) = 1.602162122899972820042214220222
y[1] (numeric) = 1.6021621228999728200422142202214
absolute error = 6e-31
relative error = 3.7449393630276177260474152204543e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.771
y[1] (analytic) = 1.60281548845544446883828957695
y[1] (numeric) = 1.6028154884554444688382895769491
absolute error = 9e-31
relative error = 5.6151191854733469016169141895011e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.772
y[1] (analytic) = 1.603468951273573926842130243361
y[1] (numeric) = 1.6034689512735739268421302433609
absolute error = 1e-31
relative error = 6.2364787244912870318955860517438e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.773
y[1] (analytic) = 1.604122511345798919429762758051
y[1] (numeric) = 1.6041225113457989194297627580507
absolute error = 3e-31
relative error = 1.8701813476098605232146216688354e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1121.5MB, alloc=4.5MB, time=108.42
x[1] = 1.774
y[1] (analytic) = 1.604776168663561220685689869391
y[1] (numeric) = 1.6047761686635612206856898693907
absolute error = 3e-31
relative error = 1.8694195854730101262880874562738e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.775
y[1] (analytic) = 1.605429923218306650664042604672
y[1] (numeric) = 1.605429923218306650664042604671
absolute error = 1.0e-30
relative error = 6.2288611015506767749892829162158e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.776
y[1] (analytic) = 1.606083775001485072652298633074
y[1] (numeric) = 1.6060837750014850726522986330725
absolute error = 1.5e-30
relative error = 9.3394879105768503152443144617834e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.777
y[1] (analytic) = 1.606737724004550390437563845805
y[1] (numeric) = 1.6067377240045503904375638458044
absolute error = 6e-31
relative error = 3.7342746799060078533422912965055e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.778
y[1] (analytic) = 1.607391770218960545575414081235
y[1] (numeric) = 1.607391770218960545575414081235
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.779
y[1] (analytic) = 1.608045913636177514661293927336
y[1] (numeric) = 1.6080459136361775146612939273357
absolute error = 3e-31
relative error = 1.8656183723114475156136010063286e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1125.3MB, alloc=4.5MB, time=108.78
x[1] = 1.78
y[1] (analytic) = 1.608700154247667306604469538238
y[1] (numeric) = 1.6087001542476673066044695382381
absolute error = 1e-31
relative error = 6.2161988196468157862936279874459e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.781
y[1] (analytic) = 1.609354492044899959904532406179
y[1] (numeric) = 1.6093544920448999599045324061794
absolute error = 4e-31
relative error = 2.4854685650502428653769019341560e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.782
y[1] (analytic) = 1.610008927019349539930451034579
y[1] (numeric) = 1.6100089270193495399304510345784
absolute error = 6e-31
relative error = 3.7266874110492993018861642591825e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.783
y[1] (analytic) = 1.610663459162494136202167462442
y[1] (numeric) = 1.6106634591624941362021674624416
absolute error = 4e-31
relative error = 2.4834486541837255129136075005453e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.784
y[1] (analytic) = 1.611318088465815859674735594751
y[1] (numeric) = 1.6113180884658158596747355947512
absolute error = 2e-31
relative error = 1.2412198524403457868898148095944e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1129.1MB, alloc=4.5MB, time=109.15
x[1] = 1.785
y[1] (analytic) = 1.61197281492080084002499829793
y[1] (numeric) = 1.6119728149208008400249982979301
absolute error = 1e-31
relative error = 6.2035785637559391540287222032595e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.786
y[1] (analytic) = 1.612627638518939222940800223914
y[1] (numeric) = 1.6126276385189392229408002239146
absolute error = 6e-31
relative error = 3.7206357231421927229718037311304e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.787
y[1] (analytic) = 1.613282559251725167412733330794
y[1] (numeric) = 1.6132825592517251674127333307941
absolute error = 1e-31
relative error = 6.1985421850950977340492321344768e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.788
y[1] (analytic) = 1.613937577110656843028412072397
y[1] (numeric) = 1.6139375771106568430284120723962
absolute error = 8e-31
relative error = 4.9568212014258676712091404648758e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.789
y[1] (analytic) = 1.614592692087236427269275233612
y[1] (numeric) = 1.6145926920872364272692752336113
absolute error = 7e-31
relative error = 4.3354587409601566986810601239608e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.79
y[1] (analytic) = 1.615247904172970102809911392653
y[1] (numeric) = 1.6152479041729701028099113926533
absolute error = 3e-31
relative error = 1.8573000418384957835019377021530e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1133.0MB, alloc=4.5MB, time=109.51
x[1] = 1.791
y[1] (analytic) = 1.615903213359368054819904995852
y[1] (numeric) = 1.6159032133593680548199049958523
absolute error = 3e-31
relative error = 1.8565468372101172215626712527078e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.792
y[1] (analytic) = 1.616558619637944468268200034967
y[1] (numeric) = 1.6165586196379444682682000349658
absolute error = 1.2e-30
relative error = 7.4231765271138773332347397821731e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.793
y[1] (analytic) = 1.617214123000217525229978321375
y[1] (numeric) = 1.6172141230002175252299783213757
absolute error = 7e-31
relative error = 4.3284311585244908580462580019785e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.794
y[1] (analytic) = 1.617869723437709402196049355917
y[1] (numeric) = 1.617869723437709402196049355916
absolute error = 1.0e-30
relative error = 6.1809673888646795939989075130608e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.795
y[1] (analytic) = 1.618525420941946267384748797442
y[1] (numeric) = 1.6185254209419462673847487974418
absolute error = 2e-31
relative error = 1.2356926707002500468600659502362e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.796
y[1] (analytic) = 1.619181215504458278056342537612
y[1] (numeric) = 1.6191812155044582780563425376111
absolute error = 9e-31
relative error = 5.5583648783845585959575709175156e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1136.8MB, alloc=4.5MB, time=109.87
x[1] = 1.797
y[1] (analytic) = 1.619837107116779577829933393704
y[1] (numeric) = 1.6198371071167795778299333937036
absolute error = 4e-31
relative error = 2.4693841019111969059731270903025e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.798
y[1] (analytic) = 1.620493095770448294002867435646
y[1] (numeric) = 1.6204930957704482940028674356458
absolute error = 2e-31
relative error = 1.2341922376714099457575786263379e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.799
y[1] (analytic) = 1.62114918145700653487263696775
y[1] (numeric) = 1.6211491814570065348726369677493
absolute error = 7e-31
relative error = 4.3179246426345264404315334725543e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.8
y[1] (analytic) = 1.621805364168000387061277189999
y[1] (numeric) = 1.6218053641680003870612771899992
absolute error = 2e-31
relative error = 1.2331936027514723384625960230929e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.801
y[1] (analytic) = 1.622461643894979912842253568053
y[1] (numeric) = 1.6224616438949799128422535680536
absolute error = 6e-31
relative error = 3.6980843415170270366421158374594e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1140.6MB, alloc=4.5MB, time=110.24
x[1] = 1.802
y[1] (analytic) = 1.623118020629499147469836945429
y[1] (numeric) = 1.6231180206294991474698369454284
absolute error = 6e-31
relative error = 3.6965888639896934060112245958311e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.803
y[1] (analytic) = 1.623774494363116096510963435652
y[1] (numeric) = 1.6237744943631160965109634356522
absolute error = 2e-31
relative error = 1.2316981249200177329544690723314e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.804
y[1] (analytic) = 1.624431065087392733179576136475
y[1] (numeric) = 1.624431065087392733179576136475
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.805
y[1] (analytic) = 1.625087732793894995673445712509
y[1] (numeric) = 1.6250877327938949956734457125077
absolute error = 1.3e-30
relative error = 7.9995681080245721229100989917092e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.806
y[1] (analytic) = 1.625744497474192784513466896957
y[1] (numeric) = 1.6257444974741927845134668969569
absolute error = 1e-31
relative error = 6.1510280462497711183262218294532e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.807
y[1] (analytic) = 1.626401359119859959885427967398
y[1] (numeric) = 1.6264013591198599598854279673959
absolute error = 2.1e-30
relative error = 1.2911941989131340335494483899515e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1144.4MB, alloc=4.5MB, time=110.61
x[1] = 1.808
y[1] (analytic) = 1.627058317722474338984250254788
y[1] (numeric) = 1.6270583177224743389842502547862
absolute error = 1.8e-30
relative error = 1.1062910163660305540399002766994e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.809
y[1] (analytic) = 1.627715373273617693360694749226
y[1] (numeric) = 1.627715373273617693360694749226
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.81
y[1] (analytic) = 1.628372525764875746270532870161
y[1] (numeric) = 1.6283725257648757462705328701597
absolute error = 1.3e-30
relative error = 7.9834311831647166338534508079399e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.811
y[1] (analytic) = 1.629029775187838170026178473033
y[1] (numeric) = 1.6290297751878381700261784730324
absolute error = 6e-31
relative error = 3.6831739305122027919989742332771e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.812
y[1] (analytic) = 1.629687121534098583350778168614
y[1] (numeric) = 1.6296871215340985833507781686134
absolute error = 6e-31
relative error = 3.6816882950832471463440471985800e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.813
y[1] (analytic) = 1.63034456479525454873475703545
y[1] (numeric) = 1.6303445647952545487347570354508
absolute error = 8e-31
relative error = 4.9069381851833715120558099625020e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1148.2MB, alloc=4.5MB, time=110.97
x[1] = 1.814
y[1] (analytic) = 1.631002104962907569794816810144
y[1] (numeric) = 1.6310021049629075697948168101431
absolute error = 9e-31
relative error = 5.5180799415367271982141754441904e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.815
y[1] (analytic) = 1.631659742028663088635383644338
y[1] (numeric) = 1.6316597420286630886353836443375
absolute error = 5e-31
relative error = 3.0643643838288472352682468554649e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.816
y[1] (analytic) = 1.632317475984130483212502521576
y[1] (numeric) = 1.632317475984130483212502521576
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.817
y[1] (analytic) = 1.632975306820923064700175431316
y[1] (numeric) = 1.6329753068209230647001754313162
absolute error = 2e-31
relative error = 1.2247582628139066870702237157508e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.818
y[1] (analytic) = 1.633633234530658074859140401654
y[1] (numeric) = 1.6336332345306580748591404016537
absolute error = 3e-31
relative error = 1.8363975074624986687886067681672e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.819
y[1] (analytic) = 1.634291259104956683408088496465
y[1] (numeric) = 1.6342912591049566834080884964637
absolute error = 1.3e-30
relative error = 7.9545184663837941530959154935348e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1152.0MB, alloc=4.5MB, time=111.34
TOP MAIN SOLVE Loop
x[1] = 1.82
y[1] (analytic) = 1.634949380535443985397315886864
y[1] (numeric) = 1.6349493805354439853973158868639
absolute error = 1e-31
relative error = 6.1163973142245002385322746716067e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.821
y[1] (analytic) = 1.63560759881374899858480811108
y[1] (numeric) = 1.6356075988137489985848081110793
absolute error = 7e-31
relative error = 4.2797551228527330151167383474742e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.822
y[1] (analytic) = 1.636265913931504660814753640959
y[1] (numeric) = 1.6362659139315046608147536409577
absolute error = 1.3e-30
relative error = 7.9449189091548783038951949308442e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.823
y[1] (analytic) = 1.63692432588034782739848387755
y[1] (numeric) = 1.6369243258803478273984838775497
absolute error = 3e-31
relative error = 1.8327053685799322522188794673043e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.824
y[1] (analytic) = 1.637582834651919268497836702323
y[1] (numeric) = 1.6375828346519192684978367023218
absolute error = 1.2e-30
relative error = 7.3278735866516893469984991846360e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1155.8MB, alloc=4.5MB, time=111.71
x[1] = 1.825
y[1] (analytic) = 1.638241440237863666510940714722
y[1] (numeric) = 1.6382414402378636665109407147214
absolute error = 6e-31
relative error = 3.6624638179881671945678995433499e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.826
y[1] (analytic) = 1.638900142629829613460417290952
y[1] (numeric) = 1.6389001426298296134604172909521
absolute error = 1e-31
relative error = 6.1016530170982182017355882897653e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.827
y[1] (analytic) = 1.639558941819469608383997602956
y[1] (numeric) = 1.6395589418194696083839976029555
absolute error = 5e-31
relative error = 3.0496006410427333072359021030994e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.828
y[1] (analytic) = 1.640217837798440054727551740721
y[1] (numeric) = 1.6402178377984400547275517407205
absolute error = 5e-31
relative error = 3.0483755783995018439447500995026e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.829
y[1] (analytic) = 1.640876830558401257740527085166
y[1] (numeric) = 1.6408768305584012577405270851648
absolute error = 1.2e-30
relative error = 7.3131631677170555751494759923966e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.83
y[1] (analytic) = 1.641535920091017421873793082945
y[1] (numeric) = 1.6415359200910174218737930829436
absolute error = 1.4e-30
relative error = 8.5285980213114977075264332216216e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1159.7MB, alloc=4.5MB, time=112.07
x[1] = 1.831
y[1] (analytic) = 1.642195106387956648179889578651
y[1] (numeric) = 1.6421951063879566481798895786505
absolute error = 5e-31
relative error = 3.0447052122799264822239949767067e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.832
y[1] (analytic) = 1.642854389440890931715675863973
y[1] (numeric) = 1.6428543894408909317156758639735
absolute error = 5e-31
relative error = 3.0434833617248569099984736910966e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.833
y[1] (analytic) = 1.643513769241496158947377607463
y[1] (numeric) = 1.6435137692414961589473776074619
absolute error = 1.1e-30
relative error = 6.6929770871811124702070893746317e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.834
y[1] (analytic) = 1.644173245781452105158028832647
y[1] (numeric) = 1.6441732457814521051580288326459
absolute error = 1.1e-30
relative error = 6.6902925395625549245790011349538e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.835
y[1] (analytic) = 1.64483281905244243185730611633
y[1] (numeric) = 1.6448328190524424318573061163302
absolute error = 2e-31
relative error = 1.2159290456960621503003734787545e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.836
y[1] (analytic) = 1.645492489046154684193752182954
y[1] (numeric) = 1.6454924890461546841937521829535
absolute error = 5e-31
relative error = 3.0386039640316791465161372315686e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1163.5MB, alloc=4.5MB, time=112.44
TOP MAIN SOLVE Loop
x[1] = 1.837
y[1] (analytic) = 1.646152255754280288369386074972
y[1] (numeric) = 1.6461522557542802883693860749721
absolute error = 1e-31
relative error = 6.0747722241633833894542800657983e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.838
y[1] (analytic) = 1.646812119168514549056697083284
y[1] (numeric) = 1.6468121191685145490566970832828
absolute error = 1.2e-30
relative error = 7.2868057383855499893441131663212e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.839
y[1] (analytic) = 1.647472079280556646818019625752
y[1] (numeric) = 1.6474720792805566468180196257525
absolute error = 5e-31
relative error = 3.0349528000398505200826896187299e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.84
y[1] (analytic) = 1.648132136082109635527286265967
y[1] (numeric) = 1.6481321360821096355272862659653
absolute error = 1.7e-30
relative error = 1.0314706950870996894203643026509e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.841
y[1] (analytic) = 1.648792289564880439794156068337
y[1] (numeric) = 1.6487922895648804397941560683364
absolute error = 6e-31
relative error = 3.6390272067462250916860595953058e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1167.3MB, alloc=4.5MB, time=112.81
x[1] = 1.842
y[1] (analytic) = 1.649452539720579852390515489771
y[1] (numeric) = 1.6494525397205798523905154897714
absolute error = 4e-31
relative error = 2.4250470405638994632936261135025e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.843
y[1] (analytic) = 1.650112886540922531679349012075
y[1] (numeric) = 1.6501128865409225316793490120743
absolute error = 7e-31
relative error = 4.2421340122213518247660977834541e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.844
y[1] (analytic) = 1.650773330017626999045976723327
y[1] (numeric) = 1.6507733300176269990459767233251
absolute error = 1.9e-30
relative error = 1.1509757066281848352355696229462e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.845
y[1] (analytic) = 1.651433870142415636331656060456
y[1] (numeric) = 1.6514338701424156363316560604555
absolute error = 5e-31
relative error = 3.0276719464212104194925586963497e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.846
y[1] (analytic) = 1.652094506907014683269544929258
y[1] (numeric) = 1.6520945069070146832695449292581
absolute error = 1e-31
relative error = 6.0529224921409613494203226806155e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.847
y[1] (analytic) = 1.652755240303154234923023422058
y[1] (numeric) = 1.6527552403031542349230234220574
absolute error = 6e-31
relative error = 3.6303016040653779410675083714562e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1171.1MB, alloc=4.5MB, time=113.18
x[1] = 1.848
y[1] (analytic) = 1.653416070322568239126371357264
y[1] (numeric) = 1.6534160703225682391263713572639
absolute error = 1e-31
relative error = 6.0480844353043454171920944440754e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.849
y[1] (analytic) = 1.654076996956994493927798869014
y[1] (numeric) = 1.6540769969569944939277988690133
absolute error = 7e-31
relative error = 4.2319674434007003493710554968733e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.85
y[1] (analytic) = 1.65473802019817464503482727907
y[1] (numeric) = 1.6547380201981746450348272790703
absolute error = 3e-31
relative error = 1.8129758084852091346137769153137e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.851
y[1] (analytic) = 1.655399140037854183262017487147
y[1] (numeric) = 1.6553991400378541832620174871457
absolute error = 1.3e-30
relative error = 7.8530909468170483984460068199525e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.852
y[1] (analytic) = 1.656060356467782441981043119738
y[1] (numeric) = 1.6560603564677824419810431197381
absolute error = 1e-31
relative error = 6.0384272595770837658951444709794e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.853
y[1] (analytic) = 1.656721669479712594573105681569
y[1] (numeric) = 1.6567216694797125945731056815683
absolute error = 7e-31
relative error = 4.2252118318693353611909426640995e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1174.9MB, alloc=4.5MB, time=113.56
x[1] = 1.854
y[1] (analytic) = 1.657383079065401651883688957624
y[1] (numeric) = 1.6573830790654016518836889576232
absolute error = 8e-31
relative error = 4.8268864941659716617792725098176e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.855
y[1] (analytic) = 1.65804458521661045967964991777
y[1] (numeric) = 1.6580445852166104596796499177688
absolute error = 1.2e-30
relative error = 7.2374410839092692793360737217475e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.856
y[1] (analytic) = 1.65870618792510369610864337983
y[1] (numeric) = 1.6587061879251036961086433798291
absolute error = 9e-31
relative error = 5.4259157321033524917195916458657e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.857
y[1] (analytic) = 1.659367887182649869160877690955
y[1] (numeric) = 1.6593678871826498691608776909552
absolute error = 2e-31
relative error = 1.2052782360370314240541782593119e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.858
y[1] (analytic) = 1.660029682981021314133198691033
y[1] (numeric) = 1.6600296829810213141331986910337
absolute error = 7e-31
relative error = 4.2167920680970312336433281654077e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1178.7MB, alloc=4.5MB, time=113.93
x[1] = 1.859
y[1] (analytic) = 1.660691575311994191095499225798
y[1] (numeric) = 1.6606915753119941910954992257982
absolute error = 2e-31
relative error = 1.2043175444087261789776235297294e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.86
y[1] (analytic) = 1.661353564167348482359451481218
y[1] (numeric) = 1.6613535641673484823594514812178
absolute error = 2e-31
relative error = 1.2038376677527864221046866867713e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.861
y[1] (analytic) = 1.66201564953886798994955941464
y[1] (numeric) = 1.6620156495388679899495594146397
absolute error = 3e-31
relative error = 1.8050371552351871124735383728833e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.862
y[1] (analytic) = 1.662677831418340333076528562061
y[1] (numeric) = 1.6626778314183403330765285620591
absolute error = 1.9e-30
relative error = 1.1427349087701572281605262741510e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.863
y[1] (analytic) = 1.66334010979755694561295050478
y[1] (numeric) = 1.6633401097975569456129505047791
absolute error = 9e-31
relative error = 5.4107995995451458196412660212613e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.864
y[1] (analytic) = 1.664002484668313073571299282608
y[1] (numeric) = 1.664002484668313073571299282607
absolute error = 1.0e-30
relative error = 6.0096064111306347475521558512214e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1182.5MB, alloc=4.5MB, time=114.30
x[1] = 1.865
y[1] (analytic) = 1.66466495602240777258423704461
y[1] (numeric) = 1.6646649560224077725842370446099
absolute error = 1e-31
relative error = 6.0072148235127451655022818492077e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.866
y[1] (analytic) = 1.665327523851643905387226232324
y[1] (numeric) = 1.6653275238516439053872262323226
absolute error = 1.4e-30
relative error = 8.4067547070982016007997247391413e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.867
y[1] (analytic) = 1.665990188147828139303445594165
y[1] (numeric) = 1.6659901881478281393034455941646
absolute error = 4e-31
relative error = 2.4009745246141079934807644743356e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.868
y[1] (analytic) = 1.666652948902770943731007333679
y[1] (numeric) = 1.6666529489027709437310073336794
absolute error = 4e-31
relative error = 2.4000197537425961472218490060500e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.869
y[1] (analytic) = 1.667315806108286587632472698061
y[1] (numeric) = 1.6673158061082865876324726980611
absolute error = 1e-31
relative error = 5.9976640078409557348278403638878e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.87
y[1] (analytic) = 1.667978759756193137026663317276
y[1] (numeric) = 1.6679787597561931370266633172764
absolute error = 4e-31
relative error = 2.3981120722332676354881645875409e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1186.4MB, alloc=4.5MB, time=114.67
x[1] = 1.871
y[1] (analytic) = 1.668641809838312452482765607928
y[1] (numeric) = 1.6686418098383124524827656079281
absolute error = 1e-31
relative error = 5.9928979011792692430275718392935e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.872
y[1] (analytic) = 1.669304956346470186616725559838
y[1] (numeric) = 1.6693049563464701866167255598373
absolute error = 7e-31
relative error = 4.1933620177589199460542296294037e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.873
y[1] (analytic) = 1.669968199272495781589931227147
y[1] (numeric) = 1.6699681992724957815899312271464
absolute error = 6e-31
relative error = 3.5928827881955101807718034996914e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.874
y[1] (analytic) = 1.670631538608222466610180249563
y[1] (numeric) = 1.6706315386082224666101802495631
absolute error = 1e-31
relative error = 5.9857603360767669668247381634423e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.875
y[1] (analytic) = 1.671294974345487255434929733177
y[1] (numeric) = 1.6712949743454872554349297331779
absolute error = 9e-31
relative error = 5.3850458106741935923986130642437e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1190.2MB, alloc=4.5MB, time=115.06
x[1] = 1.876
y[1] (analytic) = 1.671958506476130943876825824094
y[1] (numeric) = 1.6719585064761309438768258240919
absolute error = 2.1e-30
relative error = 1.2560120313189003304173403137806e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.877
y[1] (analytic) = 1.672622134991998107311510311893
y[1] (numeric) = 1.6726221349919981073115103118924
absolute error = 6e-31
relative error = 3.5871819907660759525606738111485e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.878
y[1] (analytic) = 1.673285859884937098187701603805
y[1] (numeric) = 1.6732858598849370981877016038049
absolute error = 1e-31
relative error = 5.9762651676789083798227382651983e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.879
y[1] (analytic) = 1.673949681146800043539547414139
y[1] (numeric) = 1.6739496811468000435395474141378
absolute error = 1.2e-30
relative error = 7.1686742649151580475671548844039e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.88
y[1] (analytic) = 1.674613598769442842501246517416
y[1] (numeric) = 1.6746135987694428425012465174149
absolute error = 1.1e-30
relative error = 6.5686794900525921692021845349015e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.881
y[1] (analytic) = 1.675277612744725163823936917365
y[1] (numeric) = 1.6752776127447251638239369173648
absolute error = 2e-31
relative error = 1.1938319862839086746158105414884e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1194.0MB, alloc=4.5MB, time=115.44
x[1] = 1.882
y[1] (analytic) = 1.675941723064510443394847787703
y[1] (numeric) = 1.6759417230645104433948477877036
absolute error = 6e-31
relative error = 3.5800767517314488753009091538646e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.883
y[1] (analytic) = 1.676605929720665881758712544409
y[1] (numeric) = 1.6766059297206658817587125444086
absolute error = 4e-31
relative error = 2.3857723088611690668541385725405e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.884
y[1] (analytic) = 1.677270232705062441641440412935
y[1] (numeric) = 1.6772702327050624416414404129344
absolute error = 6e-31
relative error = 3.5772410927029566818418077489090e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.885
y[1] (analytic) = 1.677934632009574845476043857572
y[1] (numeric) = 1.6779346320095748454760438575717
absolute error = 3e-31
relative error = 1.7879123195681683836986443719724e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.886
y[1] (analytic) = 1.678599127626081572930819243892
y[1] (numeric) = 1.678599127626081572930819243891
absolute error = 1.0e-30
relative error = 5.9573485029402221765733853193847e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.887
y[1] (analytic) = 1.67926371954646485843977810895
y[1] (numeric) = 1.6792637195464648584397781089497
absolute error = 3e-31
relative error = 1.7864972398797725937804565613132e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1197.8MB, alloc=4.5MB, time=115.82
x[1] = 1.888
y[1] (analytic) = 1.679928407762610688735326417669
y[1] (numeric) = 1.6799284077626106887353264176689
absolute error = 1e-31
relative error = 5.9526346204945489753093410334295e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.889
y[1] (analytic) = 1.680593192266408800383189187511
y[1] (numeric) = 1.6805931922664088003831891875115
absolute error = 5e-31
relative error = 2.9751399821256663322183910826833e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.89
y[1] (analytic) = 1.681258073049752677319577867309
y[1] (numeric) = 1.6812580730497526773195778673091
absolute error = 1e-31
relative error = 5.9479268294963748350914874798512e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.891
y[1] (analytic) = 1.681923050104539548390597859797
y[1] (numeric) = 1.6819230501045395483905978597957
absolute error = 1.3e-30
relative error = 7.7292477793154615056564747503436e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.892
y[1] (analytic) = 1.682588123422670384893893581111
y[1] (numeric) = 1.6825881234226703848938935811114
absolute error = 4e-31
relative error = 2.3772900475865238831132420653148e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.893
y[1] (analytic) = 1.683253292996049898122528454238
y[1] (numeric) = 1.6832532929960498981225284542373
absolute error = 7e-31
relative error = 4.1586135783168950243683784257092e-29 %
Correct digits = 30
h = 0.001
memory used=1201.6MB, alloc=4.5MB, time=116.19
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.894
y[1] (analytic) = 1.683918558816586536911097237016
y[1] (numeric) = 1.6839185588165865369110972370151
absolute error = 9e-31
relative error = 5.3446765301553313609424799763190e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.895
y[1] (analytic) = 1.684583920876192485184068089092
y[1] (numeric) = 1.6845839208761924851840680890905
absolute error = 1.5e-30
relative error = 8.9042758951410033491663696999637e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.896
y[1] (analytic) = 1.685249379166783659506351785802
y[1] (numeric) = 1.6852493791667836595063517857999
absolute error = 2.1e-30
relative error = 1.2461063780591785152843451656642e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.897
y[1] (analytic) = 1.685914933680279706636095490694
y[1] (numeric) = 1.6859149336802797066360954906931
absolute error = 9e-31
relative error = 5.3383476355793275582467369071279e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.898
y[1] (analytic) = 1.686580584408604001079698502053
y[1] (numeric) = 1.6865805844086040010796985020519
absolute error = 1.1e-30
relative error = 6.5220719968486577139190994612935e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1205.4MB, alloc=4.5MB, time=116.55
x[1] = 1.899
y[1] (analytic) = 1.687246331343683642649047392426
y[1] (numeric) = 1.6872463313436836426490473924269
absolute error = 9e-31
relative error = 5.3341351720899045141700404982804e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.9
y[1] (analytic) = 1.687912174477449454020967963869
y[1] (numeric) = 1.687912174477449454020967963869
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.901
y[1] (analytic) = 1.688578113801835978298891445183
y[1] (numeric) = 1.6885781138018359782988914451816
absolute error = 1.4e-30
relative error = 8.2909993239690762508360240321923e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.902
y[1] (analytic) = 1.689244149308781476576732361162
y[1] (numeric) = 1.6892441493087814765767323611626
absolute error = 6e-31
relative error = 3.5518844344999675234542949479069e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.903
y[1] (analytic) = 1.689910280990227925504975507444
y[1] (numeric) = 1.6899102809902279255049755074426
absolute error = 1.4e-30
relative error = 8.2844634756565259302280232107238e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.904
y[1] (analytic) = 1.690576508838121014858969468156
y[1] (numeric) = 1.6905765088381210148589694681554
absolute error = 6e-31
relative error = 3.5490851603773954390969148136627e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1209.3MB, alloc=4.5MB, time=116.92
x[1] = 1.905
y[1] (analytic) = 1.691242832844410145109424117304
y[1] (numeric) = 1.6912428328444101451094241173031
absolute error = 9e-31
relative error = 5.3215303120388603172551787387386e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.906
y[1] (analytic) = 1.691909253001048424995109548297
y[1] (numeric) = 1.6919092530010484249951095482962
absolute error = 8e-31
relative error = 4.7283859851288623704611096040638e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.907
y[1] (analytic) = 1.692575769299992669097753879762
y[1] (numeric) = 1.6925757692999926690977538797615
absolute error = 5e-31
relative error = 2.9540775016931005146307646454453e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.908
y[1] (analytic) = 1.693242381733203395419137389318
y[1] (numeric) = 1.6932423817332033954191373893183
absolute error = 3e-31
relative error = 1.7717487067204159664859732625001e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.909
y[1] (analytic) = 1.693909090292644822960380430623
y[1] (numeric) = 1.6939090902926448229603804306227
absolute error = 3e-31
relative error = 1.7710513611339738356131068638772e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.91
y[1] (analytic) = 1.694575894970284869303422592577
y[1] (numeric) = 1.6945758949702848693034225925759
absolute error = 1.1e-30
relative error = 6.4912997007979331719455766271969e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1213.1MB, alloc=4.5MB, time=117.28
TOP MAIN SOLVE Loop
x[1] = 1.911
y[1] (analytic) = 1.69524279575809514819469056318
y[1] (numeric) = 1.6952427957580951481946905631799
absolute error = 1e-31
relative error = 5.8988600482611712368514787662789e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.912
y[1] (analytic) = 1.695909792648050967130952164108
y[1] (numeric) = 1.6959097926480509671309521641076
absolute error = 4e-31
relative error = 2.3586160168072763915130990706273e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.913
y[1] (analytic) = 1.696576885632131324947354025631
y[1] (numeric) = 1.6965768856321313249473540256307
absolute error = 3e-31
relative error = 1.7682664578341366363419142589903e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.914
y[1] (analytic) = 1.697244074702318909407640375119
y[1] (numeric) = 1.6972440747023189094076403751188
absolute error = 2e-31
relative error = 1.1783808998424588469388583640420e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.915
y[1] (analytic) = 1.697911359850600094796550415891
y[1] (numeric) = 1.6979113598506000947965504158897
absolute error = 1.3e-30
relative error = 7.6564656479734461768373474179283e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1216.9MB, alloc=4.5MB, time=117.64
x[1] = 1.916
y[1] (analytic) = 1.698578741068964939514391776749
y[1] (numeric) = 1.698578741068964939514391776748
absolute error = 1.0e-30
relative error = 5.8872749070830296245468095107542e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.917
y[1] (analytic) = 1.699246218349407183673787516103
y[1] (numeric) = 1.6992462183494071836737875161031
absolute error = 1e-31
relative error = 5.8849623391915955307641943808267e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.918
y[1] (analytic) = 1.699913791683924246698594168106
y[1] (numeric) = 1.6999137916839242466985941681047
absolute error = 1.3e-30
relative error = 7.6474466314684576986323382195764e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.919
y[1] (analytic) = 1.700581461064517224924988321775
y[1] (numeric) = 1.7005814610645172249249883217741
absolute error = 9e-31
relative error = 5.2923074877967019113808981449715e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.92
y[1] (analytic) = 1.701249226483190889204719227647
y[1] (numeric) = 1.7012492264831908892047192276466
absolute error = 4e-31
relative error = 2.3512134129040979797681954868908e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.921
y[1] (analytic) = 1.701917087931953682510524929968
y[1] (numeric) = 1.7019170879319536825105249299677
absolute error = 3e-31
relative error = 1.7627180673327527417447014827797e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1220.7MB, alloc=4.5MB, time=118.01
x[1] = 1.922
y[1] (analytic) = 1.702585045402817717543709426011
y[1] (numeric) = 1.7025850454028177175437094260114
absolute error = 4e-31
relative error = 2.3493686913323220609451919839040e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.923
y[1] (analytic) = 1.703253098887798774343878357605
y[1] (numeric) = 1.7032530988877987743438783576045
absolute error = 5e-31
relative error = 2.9355590213016094563265641132265e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.924
y[1] (analytic) = 1.703921248378916297900830743455
y[1] (numeric) = 1.7039212483789162979008307434538
absolute error = 1.2e-30
relative error = 7.0425789991272249443634932690102e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.925
y[1] (analytic) = 1.704589493868193395768604264381
y[1] (numeric) = 1.7045894938681933957686042643798
absolute error = 1.2e-30
relative error = 7.0398181164243961486791612073505e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.926
y[1] (analytic) = 1.705257835347656835681671617059
y[1] (numeric) = 1.7052578353476568356816716170584
absolute error = 6e-31
relative error = 3.5185295007172678772814568100275e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.927
y[1] (analytic) = 1.70592627280933704317328545537
y[1] (numeric) = 1.7059262728093370431732854553688
absolute error = 1.2e-30
relative error = 7.0343016525786168909608461175999e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1224.5MB, alloc=4.5MB, time=118.37
x[1] = 1.928
y[1] (analytic) = 1.706594806245268099195969441933
y[1] (numeric) = 1.7065948062452680991959694419329
absolute error = 1e-31
relative error = 5.8596217235661865232780458442638e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.929
y[1] (analytic) = 1.707263435647487737744152935915
y[1] (numeric) = 1.7072634356474877377441529359149
absolute error = 1e-31
relative error = 5.8573268724679578662198006761793e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.93
y[1] (analytic) = 1.707932161008037343478946846628
y[1] (numeric) = 1.7079321610080373434789468466268
absolute error = 1.2e-30
relative error = 7.0260401870513926704608638180038e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.931
y[1] (analytic) = 1.708600982318961949355058185956
y[1] (numeric) = 1.708600982318961949355058185956
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.932
y[1] (analytic) = 1.709269899572310234249840856098
y[1] (numeric) = 1.7092698995723102342498408560976
absolute error = 4e-31
relative error = 2.3401804483896143188298445659174e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1228.3MB, alloc=4.5MB, time=118.73
x[1] = 1.933
y[1] (analytic) = 1.709938912760134520594480212534
y[1] (numeric) = 1.7099389127601345205944802125336
absolute error = 4e-31
relative error = 2.3392648533527518392149373596013e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.934
y[1] (analytic) = 1.710608021874490772007308945654
y[1] (numeric) = 1.7106080218744907720073089456541
absolute error = 1e-31
relative error = 5.8458746083991597281555678765060e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.935
y[1] (analytic) = 1.711277226907438590929251827867
y[1] (numeric) = 1.7112772269074385909292518278658
absolute error = 1.2e-30
relative error = 7.0123062536664428759297602798625e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.936
y[1] (analytic) = 1.711946527851041216261396876474
y[1] (numeric) = 1.7119465278510412162613968764731
absolute error = 9e-31
relative error = 5.2571735469433436518266291568527e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.937
y[1] (analytic) = 1.712615924697365521004690486057
y[1] (numeric) = 1.7126159246973655210046904860568
absolute error = 2e-31
relative error = 1.1678041592153347536416773146920e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.938
y[1] (analytic) = 1.713285417438482009901754087504
y[1] (numeric) = 1.7132854174384820099017540875043
absolute error = 3e-31
relative error = 1.7510217325524626649692334760177e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1232.1MB, alloc=4.5MB, time=119.10
x[1] = 1.939
y[1] (analytic) = 1.713955006066464817080819894271
y[1] (numeric) = 1.7139550060664648170808198942715
absolute error = 5e-31
relative error = 2.9172294385224409321430127660342e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.94
y[1] (analytic) = 1.714624690573391703701783299878
y[1] (numeric) = 1.7146246905733917037017832998772
absolute error = 8e-31
relative error = 4.6657440803122350073900181154563e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.941
y[1] (analytic) = 1.715294470951344055604369494045
y[1] (numeric) = 1.7152944709513440556043694940432
absolute error = 1.8e-30
relative error = 1.0493824999049149832915897495069e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.942
y[1] (analytic) = 1.715964347192406880958411868303
y[1] (numeric) = 1.7159643471924068809584118683034
absolute error = 4e-31
relative error = 2.3310507625316587031779139472235e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.943
y[1] (analytic) = 1.716634319288668807916239785308
y[1] (numeric) = 1.7166343192886688079162397853072
absolute error = 8e-31
relative error = 4.6602819890697536227351350143904e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.944
y[1] (analytic) = 1.717304387232222082267173289442
y[1] (numeric) = 1.7173043872322220822671732894405
absolute error = 1.5e-30
relative error = 8.7346192739747706266044689176970e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1236.0MB, alloc=4.5MB, time=119.47
x[1] = 1.945
y[1] (analytic) = 1.717974551015162565094122339779
y[1] (numeric) = 1.717974551015162565094122339778
absolute error = 1.0e-30
relative error = 5.8208079939781026592697876012103e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.946
y[1] (analytic) = 1.718644810629589730432288149769
y[1] (numeric) = 1.7186448106295897304322881497676
absolute error = 1.4e-30
relative error = 8.1459530866481897397188780553496e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.947
y[1] (analytic) = 1.719315166067606662929964221429
y[1] (numeric) = 1.7193151660676066629299642214286
absolute error = 4e-31
relative error = 2.3265077159464273445745019035673e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.948
y[1] (analytic) = 1.719985617321320055511434665218
y[1] (numeric) = 1.7199856173213200555114346652176
absolute error = 4e-31
relative error = 2.3256008420753775456291507377152e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.949
y[1] (analytic) = 1.720656164382840207041967400089
y[1] (numeric) = 1.7206561643828402070419674000893
absolute error = 3e-31
relative error = 1.7435209091155239625040006422370e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1239.8MB, alloc=4.5MB, time=119.83
x[1] = 1.95
y[1] (analytic) = 1.721326807244281019994899831641
y[1] (numeric) = 1.7213268072442810199948998316393
absolute error = 1.7e-30
relative error = 9.8761025090963192124990601218542e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.951
y[1] (analytic) = 1.721997545897759998120814609578
y[1] (numeric) = 1.7219975458977599981208146095769
absolute error = 1.1e-30
relative error = 6.3879301258035021543905585959014e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.952
y[1] (analytic) = 1.722668380335398244118803069127
y[1] (numeric) = 1.7226683803353982441188030691267
absolute error = 3e-31
relative error = 1.7414843357233440435227529131719e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.953
y[1] (analytic) = 1.723339310549320457309813964306
y[1] (numeric) = 1.7233393105493204573098139643062
absolute error = 2e-31
relative error = 1.1605375608605440424514368507475e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.954
y[1] (analytic) = 1.724010336531654931312085104368
y[1] (numeric) = 1.7240103365316549313120851043671
absolute error = 9e-31
relative error = 5.2203863337073147700260016178640e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.955
y[1] (analytic) = 1.724681458274533551718655508026
y[1] (numeric) = 1.7246814582745335517186555080256
absolute error = 4e-31
relative error = 2.3192688602345273676672977648183e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1243.6MB, alloc=4.5MB, time=120.19
x[1] = 1.956
y[1] (analytic) = 1.725352675770091793776955693436
y[1] (numeric) = 1.7253526757700917937769556934352
absolute error = 8e-31
relative error = 4.6367331806114885049097395332438e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.957
y[1] (analytic) = 1.726023989010468720070473725184
y[1] (numeric) = 1.726023989010468720070473725183
absolute error = 1.0e-30
relative error = 5.7936622339374379181296729386502e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.958
y[1] (analytic) = 1.72669539798780697820249464291
y[1] (numeric) = 1.7266953979878069782024946429087
absolute error = 1.3e-30
relative error = 7.5288322509861691400338322346229e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.959
y[1] (analytic) = 1.727366902694252798481910899461
y[1] (numeric) = 1.7273669026942527984819108994603
absolute error = 7e-31
relative error = 4.0524106309330005785168842755161e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.96
y[1] (analytic) = 1.728038503121955991611101439809
y[1] (numeric) = 1.7280385031219559916111014398081
absolute error = 9e-31
relative error = 5.2082172843603744033935756911733e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.961
y[1] (analytic) = 1.728710199263069946375877055245
y[1] (numeric) = 1.7287101992630699463758770552438
absolute error = 1.2e-30
relative error = 6.9415914854412656242804532096056e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1247.4MB, alloc=4.5MB, time=120.56
x[1] = 1.962
y[1] (analytic) = 1.729381991109751627337489650687
y[1] (numeric) = 1.729381991109751627337489650687
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.963
y[1] (analytic) = 1.730053878654161572526703066217
y[1] (numeric) = 1.7300538786541615725267030662157
absolute error = 1.3e-30
relative error = 7.5142168463059207058486044820079e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.964
y[1] (analytic) = 1.730725861888463891139923097223
y[1] (numeric) = 1.7307258618884638911399230972232
absolute error = 2e-31
relative error = 1.1555845117017667815344560161530e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.965
y[1] (analytic) = 1.731397940804826261237384360886
y[1] (numeric) = 1.7313979408048262612373843608862
absolute error = 2e-31
relative error = 1.1551359470084134757306649205489e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.966
y[1] (analytic) = 1.732070115395419927443391659904
y[1] (numeric) = 1.7320701153954199274433916599033
absolute error = 7e-31
relative error = 4.0414068332343158078408734540365e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1251.2MB, alloc=4.5MB, time=120.92
x[1] = 1.967
y[1] (analytic) = 1.732742385652419698648613497737
y[1] (numeric) = 1.732742385652419698648613497737
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.968
y[1] (analytic) = 1.733414751568003945714425402855
y[1] (numeric) = 1.7334147515680039457144254028546
absolute error = 4e-31
relative error = 2.3075839157257080655826573799687e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.969
y[1] (analytic) = 1.734087213134354599179300722726
y[1] (numeric) = 1.7340872131343545991793007227248
absolute error = 1.2e-30
relative error = 6.9200671737323151281315390346838e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.97
y[1] (analytic) = 1.734759770343657146967246551583
y[1] (numeric) = 1.7347597703436571469672465515818
absolute error = 1.2e-30
relative error = 6.9173843002035904065933064562426e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.971
y[1] (analytic) = 1.735432423188100632098282459219
y[1] (numeric) = 1.7354324231881006320982824592177
absolute error = 1.3e-30
relative error = 7.4909283855133733638223998781722e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.972
y[1] (analytic) = 1.736105171659877650400959691308
y[1] (numeric) = 1.7361051716598776504009596913072
absolute error = 8e-31
relative error = 4.6080157645929120870349895333830e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1255.0MB, alloc=4.5MB, time=121.28
x[1] = 1.973
y[1] (analytic) = 1.73677801575118434822691851501
y[1] (numeric) = 1.7367780157511843482269185150088
absolute error = 1.2e-30
relative error = 6.9093458641056137104530710325695e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.974
y[1] (analytic) = 1.73745095545422042016748138682
y[1] (numeric) = 1.7374509554542204201674813868189
absolute error = 1.1e-30
relative error = 6.3311139606379730912581717440749e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.975
y[1] (analytic) = 1.738123990761189106772279622884
y[1] (numeric) = 1.7381239907611891067722796228837
absolute error = 3e-31
relative error = 1.7259988447004799013863534149881e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.976
y[1] (analytic) = 1.738797121664297192269911255199
y[1] (numeric) = 1.7387971216642971922699112551965
absolute error = 2.5e-30
relative error = 1.4377755569362308223035952084560e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.977
y[1] (analytic) = 1.739470348155755002290627760326
y[1] (numeric) = 1.7394703481557550022906277603256
absolute error = 4e-31
relative error = 2.2995505524086309394462752614892e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.978
y[1] (analytic) = 1.740143670227776401591047350529
y[1] (numeric) = 1.7401436702277764015910473505302
absolute error = 1.2e-30
relative error = 6.8959823291080660941290641134792e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1258.8MB, alloc=4.5MB, time=121.65
x[1] = 1.979
y[1] (analytic) = 1.740817087872578791780892520329
y[1] (numeric) = 1.7408170878725787917808925203281
absolute error = 9e-31
relative error = 5.1699860155892299378567848228070e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.98
y[1] (analytic) = 1.741490601082383109051749544783
y[1] (numeric) = 1.7414906010823831090517495447818
absolute error = 1.2e-30
relative error = 6.8906487307721776984632121453655e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.981
y[1] (analytic) = 1.742164209849413821907847628965
y[1] (numeric) = 1.7421642098494138219078476289651
absolute error = 1e-31
relative error = 5.7399870479857709347930142932026e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.982
y[1] (analytic) = 1.742837914165898928898855411265
y[1] (numeric) = 1.7428379141658989288988554112638
absolute error = 1.2e-30
relative error = 6.8853218664014744845860217770496e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.983
y[1] (analytic) = 1.743511714024069956354692526352
y[1] (numeric) = 1.7435117140240699563546925263503
absolute error = 1.7e-30
relative error = 9.7504363539741078117704208876947e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.984
y[1] (analytic) = 1.744185609416161956122353936853
y[1] (numeric) = 1.7441856094161619561223539368523
absolute error = 7e-31
relative error = 4.0133343390805392953309410483884e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1262.7MB, alloc=4.5MB, time=122.01
TOP MAIN SOLVE Loop
x[1] = 1.985
y[1] (analytic) = 1.744859600334413503304744745912
y[1] (numeric) = 1.7448596003344135033047447459119
absolute error = 1e-31
relative error = 5.7311201417486175022548860230792e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.986
y[1] (analytic) = 1.745533686771066694001523206003
y[1] (numeric) = 1.7455336867710666940015232060014
absolute error = 1.6e-30
relative error = 9.1662510562011629386034083133369e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.987
y[1] (analytic) = 1.746207868718367143051949642529
y[1] (numeric) = 1.7462078687183671430519496425271
absolute error = 1.9e-30
relative error = 1.0880720640633173346257060848661e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.988
y[1] (analytic) = 1.746882146168563981779739013914
y[1] (numeric) = 1.746882146168563981779739013913
absolute error = 1.0e-30
relative error = 5.7244846321962798724259617506212e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.989
y[1] (analytic) = 1.747556519113909855739914833013
y[1] (numeric) = 1.7475565191139098557399148330109
absolute error = 2.1e-30
relative error = 1.2016778725215679544469259180247e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1266.5MB, alloc=4.5MB, time=122.37
x[1] = 1.99
y[1] (analytic) = 1.748230987546660922467662177832
y[1] (numeric) = 1.7482309875466609224676621778328
absolute error = 8e-31
relative error = 4.5760543412095749064607008063051e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.991
y[1] (analytic) = 1.748905551459076849229177522747
y[1] (numeric) = 1.7489055514590768492291775227467
absolute error = 3e-31
relative error = 1.7153584980602069261841035695992e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.992
y[1] (analytic) = 1.749580210843420810774513124416
y[1] (numeric) = 1.7495802108434208107745131244153
absolute error = 7e-31
relative error = 4.0009597482961397266924263372437e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.993
y[1] (analytic) = 1.750254965691959487092413699895
y[1] (numeric) = 1.750254965691959487092413699893
absolute error = 2.0e-30
relative error = 1.1426906589059750833262908232812e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.994
y[1] (analytic) = 1.750929815996963061167143137426
y[1] (numeric) = 1.7509298159969630611671431374241
absolute error = 1.9e-30
relative error = 1.0851377266187895545557187632954e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.995
y[1] (analytic) = 1.751604761750705216737298983612
y[1] (numeric) = 1.7516047617507052167372989836099
absolute error = 2.1e-30
relative error = 1.1989006000994644848169910281124e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1270.3MB, alloc=4.5MB, time=122.73
x[1] = 1.996
y[1] (analytic) = 1.752279802945463136056612453733
y[1] (numeric) = 1.7522798029454631360566124537318
absolute error = 1.2e-30
relative error = 6.8482213741371762631310301551822e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.997
y[1] (analytic) = 1.752954939573517497656731715132
y[1] (numeric) = 1.7529549395735174976567317151306
absolute error = 1.4e-30
relative error = 7.9865144756123101935294886470119e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.998
y[1] (analytic) = 1.753630171627152474111986196651
y[1] (numeric) = 1.7536301716271524741119861966515
absolute error = 5e-31
relative error = 2.8512283153526132550604127350542e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.999
y[1] (analytic) = 1.754305499098655729806129680269
y[1] (numeric) = 1.7543054990986557298061296802681
absolute error = 9e-31
relative error = 5.1302353008778164311703669448814e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2
y[1] (analytic) = 1.754980921980318418701059934097
y[1] (numeric) = 1.7549809219803184187010599340965
absolute error = 5e-31
relative error = 2.8490338198993102733852841534595e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.001
y[1] (analytic) = 1.755656440264435182107512649107
y[1] (numeric) = 1.755656440264435182107512649106
absolute error = 1.0e-30
relative error = 5.6958752126320399000649461900998e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1274.1MB, alloc=4.5MB, time=123.10
x[1] = 2.002
y[1] (analytic) = 1.75633205394330414645772744492
y[1] (numeric) = 1.7563320539433041464577274449192
absolute error = 8e-31
relative error = 4.5549473301694046442108890405706e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.003
y[1] (analytic) = 1.757007763009226921080083713181
y[1] (numeric) = 1.75700776300922692108008371318
absolute error = 1.0e-30
relative error = 5.6914944888308299577637247681304e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.004
y[1] (analytic) = 1.757683567454508595975704070047
y[1] (numeric) = 1.7576835674545085959757040700452
absolute error = 1.8e-30
relative error = 1.0240751141610627902564878963637e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.005
y[1] (analytic) = 1.75835946727145773959702319243
y[1] (numeric) = 1.7583594672714577395970231924295
absolute error = 5e-31
relative error = 2.8435596321830442477085648863567e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.006
y[1] (analytic) = 1.759035462452386396628319815703
y[1] (numeric) = 1.7590354624523863966283198157017
absolute error = 1.3e-30
relative error = 7.3904138247877331993277111434306e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1277.9MB, alloc=4.5MB, time=123.46
x[1] = 2.007
y[1] (analytic) = 1.759711552989610085768209673596
y[1] (numeric) = 1.7597115529896100857682096735941
absolute error = 1.9e-30
relative error = 1.0797224106257931826174376928318e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.008
y[1] (analytic) = 1.760387738875447797514097164146
y[1] (numeric) = 1.7603877388754477975140971641456
absolute error = 4e-31
relative error = 2.2722266871474789557321865632883e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.009
y[1] (analytic) = 1.761064020102221991948583528553
y[1] (numeric) = 1.7610640201022219919485835285516
absolute error = 1.4e-30
relative error = 7.9497393849357968284422480019699e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.01
y[1] (analytic) = 1.761740396662258596527829332844
y[1] (numeric) = 1.7617403966622585965278293328434
absolute error = 6e-31
relative error = 3.4057231198009780928689245351299e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.011
y[1] (analytic) = 1.762416868547887003871869045364
y[1] (numeric) = 1.7624168685478870038718690453637
absolute error = 3e-31
relative error = 1.7022079472445121807681879807717e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.012
y[1] (analytic) = 1.763093435751440069556875506043
y[1] (numeric) = 1.7630934357514400695568755060424
absolute error = 6e-31
relative error = 3.4031094883197538361813145568483e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1281.7MB, alloc=4.5MB, time=123.83
x[1] = 2.013
y[1] (analytic) = 1.763770098265254109909372086512
y[1] (numeric) = 1.7637700982652541099093720865111
absolute error = 9e-31
relative error = 5.1027058508656530707321731959429e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.014
y[1] (analytic) = 1.764446856081668899802390343126
y[1] (numeric) = 1.7644468560816688998023903431241
absolute error = 1.9e-30
relative error = 1.0768247246728392875188740282850e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.015
y[1] (analytic) = 1.765123709193027670453570967978
y[1] (numeric) = 1.7651237091930276704535709679775
absolute error = 5e-31
relative error = 2.8326626479261787128881434405302e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.016
y[1] (analytic) = 1.765800657591677107225205846036
y[1] (numeric) = 1.7658006575916771072252058460353
absolute error = 7e-31
relative error = 3.9642073808869747432855242237210e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.017
y[1] (analytic) = 1.76647770126996734742621902949
y[1] (numeric) = 1.7664777012699673474262190294891
absolute error = 9e-31
relative error = 5.0948845793692515593577455877334e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.018
y[1] (analytic) = 1.767154840220251978116084443484
y[1] (numeric) = 1.767154840220251978116084443483
absolute error = 1.0e-30
relative error = 5.6588136887617811075682768706422e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1285.5MB, alloc=4.5MB, time=124.19
x[1] = 2.019
y[1] (analytic) = 1.767832074434888033910678140345
y[1] (numeric) = 1.7678320744348880339106781403428
absolute error = 2.2e-30
relative error = 1.2444620910632931122739167798815e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.02
y[1] (analytic) = 1.768509403906235994790062922447
y[1] (numeric) = 1.7685094039062359947900629224469
absolute error = 1e-31
relative error = 5.6544794039049320408856722983791e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.021
y[1] (analytic) = 1.769186828626659783908203156871
y[1] (numeric) = 1.7691868286266597839082031568707
absolute error = 3e-31
relative error = 1.6956942881655778322377294016233e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.022
y[1] (analytic) = 1.769864348588526765404607607927
y[1] (numeric) = 1.7698643485885267654046076079262
absolute error = 8e-31
relative error = 4.5201204297832367795796669114261e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.023
y[1] (analytic) = 1.770541963784207742217898116704
y[1] (numeric) = 1.7705419637842077422178981167039
absolute error = 1e-31
relative error = 5.6479881327561644345719503711585e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1289.4MB, alloc=4.5MB, time=124.55
x[1] = 2.024
y[1] (analytic) = 1.771219674206076953901301959705
y[1] (numeric) = 1.7712196742060769539013019597034
absolute error = 1.6e-30
relative error = 9.0333233268604943494970541137032e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.025
y[1] (analytic) = 1.771897479846512074440065721616
y[1] (numeric) = 1.7718974798465120744400657216152
absolute error = 8e-31
relative error = 4.5149339005171946169428531971913e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.026
y[1] (analytic) = 1.772575380697894210070788520286
y[1] (numeric) = 1.7725753806978942100707885202855
absolute error = 5e-31
relative error = 2.8207545103280243908222450539904e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.027
y[1] (analytic) = 1.773253376752607897102672424864
y[1] (numeric) = 1.7732533767526078971026724248625
absolute error = 1.5e-30
relative error = 8.4590280197124343219362021625953e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.028
y[1] (analytic) = 1.773931468003041099740687911084
y[1] (numeric) = 1.773931468003041099740687911083
absolute error = 1.0e-30
relative error = 5.6371963519296770959789636138480e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.029
y[1] (analytic) = 1.774609654441585207910652200615
y[1] (numeric) = 1.774609654441585207910652200614
absolute error = 1.0e-30
relative error = 5.6350420358479853006675926490642e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1293.2MB, alloc=4.5MB, time=124.92
x[1] = 2.03
y[1] (analytic) = 1.775287936060635035086218334316
y[1] (numeric) = 1.7752879360606350350862183343155
absolute error = 5e-31
relative error = 2.8164445318628159635013203754593e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.031
y[1] (analytic) = 1.775966312852588816117772832238
y[1] (numeric) = 1.7759663128525888161177728322373
absolute error = 7e-31
relative error = 3.9415162040751071216595163193643e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.032
y[1] (analytic) = 1.776644784809848205063239796104
y[1] (numeric) = 1.7766447848098482050632397961035
absolute error = 5e-31
relative error = 2.8142935733409101102051544043647e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.033
y[1] (analytic) = 1.777323351924818273020789312977
y[1] (numeric) = 1.7773233519248182730207893129765
absolute error = 5e-31
relative error = 2.8132190997125337214875510150785e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.034
y[1] (analytic) = 1.778002014189907505963448021724
y[1] (numeric) = 1.7780020141899075059634480217238
absolute error = 2e-31
relative error = 1.1248581182914121267089524968907e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.035
y[1] (analytic) = 1.778680771597527802575609706839
y[1] (numeric) = 1.778680771597527802575609706838
absolute error = 1.0e-30
relative error = 5.6221443216134102220771110205629e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1297.0MB, alloc=4.5MB, time=125.29
x[1] = 2.036
y[1] (analytic) = 1.779359624140094472091443787086
y[1] (numeric) = 1.7793596241400944720914437870841
absolute error = 1.9e-30
relative error = 1.0677998838588950352463899182550e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.037
y[1] (analytic) = 1.780038571810026232135199569366
y[1] (numeric) = 1.7800385718100262321351995693655
absolute error = 5e-31
relative error = 2.8089278958240589272074729499514e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.038
y[1] (analytic) = 1.780717614599745206563404141115
y[1] (numeric) = 1.7807176145997452065634041411138
absolute error = 1.2e-30
relative error = 6.7388562350450267828438723376635e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.039
y[1] (analytic) = 1.781396752501676923308951777417
y[1] (numeric) = 1.7813967525016769233089517774153
absolute error = 1.7e-30
relative error = 9.5430734204080665616584924971908e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.04
y[1] (analytic) = 1.782075985508250312227082741993
y[1] (numeric) = 1.7820759855082503122270827419921
absolute error = 9e-31
relative error = 5.0502897032379843677047661922186e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.041
memory used=1300.8MB, alloc=4.5MB, time=125.65
y[1] (analytic) = 1.782755313611897702943249364056
y[1] (numeric) = 1.7827553136118977029432493640547
absolute error = 1.3e-30
relative error = 7.2920831595569565776949369434296e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.042
y[1] (analytic) = 1.783434736805054822702867275937
y[1] (numeric) = 1.7834347368050548227028672759359
absolute error = 1.1e-30
relative error = 6.1678735829190015430143805771543e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.043
y[1] (analytic) = 1.784114255080160794222949699309
y[1] (numeric) = 1.7841142550801607942229496993088
absolute error = 2e-31
relative error = 1.1210044392084852176833234768183e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.044
y[1] (analytic) = 1.784793868429658133545622670674
y[1] (numeric) = 1.7847938684296581335456226706735
absolute error = 5e-31
relative error = 2.8014439585671732134891936257973e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.045
y[1] (analytic) = 1.785473576845992747893519099681
y[1] (numeric) = 1.7854735768459927478935190996802
absolute error = 8e-31
relative error = 4.4806039718223427427835540480310e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.046
y[1] (analytic) = 1.786153380321613933527049556731
y[1] (numeric) = 1.786153380321613933527049556731
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1304.6MB, alloc=4.5MB, time=126.02
x[1] = 2.047
y[1] (analytic) = 1.786833278848974373603547689176
y[1] (numeric) = 1.7868332788489743736035476891748
absolute error = 1.2e-30
relative error = 6.7157916421447267210333653356944e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.048
y[1] (analytic) = 1.787513272420530136038288168275
y[1] (numeric) = 1.7875132724205301360382881682748
absolute error = 2e-31
relative error = 1.1188728111046328860693498849285e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.049
y[1] (analytic) = 1.788193361028740671367375071992
y[1] (numeric) = 1.7881933610287406713673750719927
absolute error = 7e-31
relative error = 3.9145654785190161323028274097308e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.05
y[1] (analytic) = 1.788873544666068810612498611489
y[1] (numeric) = 1.7888735446660688106124986114886
absolute error = 4e-31
relative error = 2.2360440244235848658595836622620e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.051
y[1] (analytic) = 1.78955382332498076314755811209
y[1] (numeric) = 1.7895538233249807631475581120902
absolute error = 2e-31
relative error = 1.1175970087806643584784940511072e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.052
y[1] (analytic) = 1.790234196997946114567149162332
y[1] (numeric) = 1.7902341969979461145671491623316
absolute error = 4e-31
relative error = 2.2343445381099426555635133164261e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1308.4MB, alloc=4.5MB, time=126.40
x[1] = 2.053
y[1] (analytic) = 1.790914665677437824556912847509
y[1] (numeric) = 1.7909146656774378245569128475076
absolute error = 1.4e-30
relative error = 7.8172345496452281452713428535106e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.054
y[1] (analytic) = 1.791595229355932224765744987026
y[1] (numeric) = 1.7915952293559322247657449870265
absolute error = 5e-31
relative error = 2.7908089495178384189043651896475e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.055
y[1] (analytic) = 1.79227588802590901667986329768
y[1] (numeric) = 1.7922758880259090166798632976802
absolute error = 2e-31
relative error = 1.1158996298292487757206834185710e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.056
y[1] (analytic) = 1.792956641679851269498730407782
y[1] (numeric) = 1.7929566416798512694987304077803
absolute error = 1.7e-30
relative error = 9.4815455124851283263837695358049e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.057
y[1] (analytic) = 1.793637490310245418012830649935
y[1] (numeric) = 1.793637490310245418012830649933
absolute error = 2.0e-30
relative error = 1.1150525180280771592470002494625e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.058
y[1] (analytic) = 1.794318433909581260483298563049
y[1] (numeric) = 1.7943184339095812604832985630487
absolute error = 3e-31
relative error = 1.6719440336258480818031425664093e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1312.3MB, alloc=4.5MB, time=126.77
TOP MAIN SOLVE Loop
x[1] = 2.059
y[1] (analytic) = 1.794999472470351956523397036997
y[1] (numeric) = 1.7949994724703519565233970369965
absolute error = 5e-31
relative error = 2.7855161389650966059505716122130e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.06
y[1] (analytic) = 1.795680605985054024981843036127
y[1] (numeric) = 1.7956806059850540249818430361266
absolute error = 4e-31
relative error = 2.2275676346160265709403257501100e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.061
y[1] (analytic) = 1.796361834446187341827978840692
y[1] (numeric) = 1.7963618344461873418279788406911
absolute error = 9e-31
relative error = 5.0101264831061563192178708768956e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.062
y[1] (analytic) = 1.797043157846255138038786747996
y[1] (numeric) = 1.7970431578462551380387867479956
absolute error = 4e-31
relative error = 2.2258786510135764952744078081211e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.063
y[1] (analytic) = 1.797724576177763997487745177915
y[1] (numeric) = 1.7977245761777639974877451779132
absolute error = 1.8e-30
relative error = 1.0012657243786886975766533808696e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1316.1MB, alloc=4.5MB, time=127.14
x[1] = 2.064
y[1] (analytic) = 1.798406089433223854835524130186
y[1] (numeric) = 1.7984060894332238548355241301861
absolute error = 1e-31
relative error = 5.5604793927002032535716819250056e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.065
y[1] (analytic) = 1.79908769760514799342251794373
y[1] (numeric) = 1.7990876976051479934225179437288
absolute error = 1.2e-30
relative error = 6.6700472778363034260602989042436e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.066
y[1] (analytic) = 1.799769400686053043163213310933
y[1] (numeric) = 1.7997694006860530431632133109324
absolute error = 6e-31
relative error = 3.3337604238147751128921237291908e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.067
y[1] (analytic) = 1.800451198668458978442390502751
y[1] (numeric) = 1.8004511986684589784423905027497
absolute error = 1.3e-30
relative error = 7.2204123108775595720078642270885e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.068
y[1] (analytic) = 1.801133091544889116013155763117
y[1] (numeric) = 1.8011330915448891160131557631163
absolute error = 7e-31
relative error = 3.8864423916590624899983243664493e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.069
y[1] (analytic) = 1.801815079307870112896802834036
y[1] (numeric) = 1.8018150793078701128968028340355
absolute error = 5e-31
relative error = 2.7749795511316545776930853693746e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1319.9MB, alloc=4.5MB, time=127.50
x[1] = 2.07
y[1] (analytic) = 1.802497161949931964284501575421
y[1] (numeric) = 1.8024971619499319642845015754203
absolute error = 7e-31
relative error = 3.8835012602335732719442460283344e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.071
y[1] (analytic) = 1.803179339463608001440811646551
y[1] (numeric) = 1.80317933946360800144081164655
absolute error = 1.0e-30
relative error = 5.5457600811767848523997520216770e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.072
y[1] (analytic) = 1.803861611841434889609019218756
y[1] (numeric) = 1.8038616118414348896090192187556
absolute error = 4e-31
relative error = 2.2174650060415014716057428610847e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.073
y[1] (analytic) = 1.804543979075952625918294691704
y[1] (numeric) = 1.8045439790759526259182946917034
absolute error = 6e-31
relative error = 3.3249397463133050609055817801841e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.074
y[1] (analytic) = 1.805226441159704537292669388395
y[1] (numeric) = 1.8052264411597045372926693883944
absolute error = 6e-31
relative error = 3.3236827597902399562405242380022e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.075
y[1] (analytic) = 1.805908998085237278361829206743
y[1] (numeric) = 1.8059089980852372783618292067427
absolute error = 3e-31
relative error = 1.6612132744124035322573569635435e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1323.7MB, alloc=4.5MB, time=127.87
TOP MAIN SOLVE Loop
x[1] = 2.076
y[1] (analytic) = 1.806591649845100829373723208337
y[1] (numeric) = 1.8065916498451008293737232083367
absolute error = 3e-31
relative error = 1.6605855563747476223730043312186e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.077
y[1] (analytic) = 1.807274396431848494108985127724
y[1] (numeric) = 1.8072743964318484941089851277227
absolute error = 1.3e-30
relative error = 7.1931523102779839342724165353330e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.078
y[1] (analytic) = 1.807957237838036897797165788283
y[1] (numeric) = 1.8079572378380368977971657882826
absolute error = 4e-31
relative error = 2.2124417084019184764234523610376e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.079
y[1] (analytic) = 1.808640174056225985034774413507
y[1] (numeric) = 1.8086401740562259850347744135051
absolute error = 1.9e-30
relative error = 1.0505129916134074948700705191953e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.08
y[1] (analytic) = 1.809323205078979017705126825172
y[1] (numeric) = 1.8093232050789790177051268251719
absolute error = 1e-31
relative error = 5.5269285067083902323652052441938e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1327.5MB, alloc=4.5MB, time=128.23
x[1] = 2.081
y[1] (analytic) = 1.810006330898862572899998522701
y[1] (numeric) = 1.8100063308988625728999985227009
absolute error = 1e-31
relative error = 5.5248425540224082017569624087221e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.082
y[1] (analytic) = 1.8106895515084465408430806406
y[1] (numeric) = 1.8106895515084465408430806406004
absolute error = 4e-31
relative error = 2.2091031544682444255984351672606e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.083
y[1] (analytic) = 1.811372866900304122815236783702
y[1] (numeric) = 1.8113728669003041228152367837014
absolute error = 6e-31
relative error = 3.3124047012294311308572790171322e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.084
y[1] (analytic) = 1.812056277067011829081558742539
y[1] (numeric) = 1.8120562770670118290815587425376
absolute error = 1.4e-30
relative error = 7.7260293607770023143693494538705e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.085
y[1] (analytic) = 1.812739782001149476820219093947
y[1] (numeric) = 1.8127397820011494768202190939462
absolute error = 8e-31
relative error = 4.4132092644695581123665746780182e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.086
y[1] (analytic) = 1.81342338169530018805311869466
y[1] (numeric) = 1.81342338169530018805311869466
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1331.3MB, alloc=4.5MB, time=128.60
x[1] = 2.087
y[1] (analytic) = 1.814107076142050387578327078354
y[1] (numeric) = 1.8141070761420503875783270783521
absolute error = 1.9e-30
relative error = 1.0473472183574812988068831171597e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.088
y[1] (analytic) = 1.814790865333989800904313769285
y[1] (numeric) = 1.8147908653339898009043137692847
absolute error = 3e-31
relative error = 1.6530830396525536427075556085376e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.089
y[1] (analytic) = 1.815474749263711452185968528399
y[1] (numeric) = 1.8154747492637114521859685283976
absolute error = 1.4e-30
relative error = 7.7114815315816843711998757663034e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.09
y[1] (analytic) = 1.816158727923811662162408550352
y[1] (numeric) = 1.8161587279238116621624085503511
absolute error = 9e-31
relative error = 4.9555139986517480066247783804112e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.091
y[1] (analytic) = 1.816842801306890046096570632715
y[1] (numeric) = 1.8168428013068900460965706327141
absolute error = 9e-31
relative error = 4.9536481601634035303537858397132e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.092
y[1] (analytic) = 1.817526969405549511716586341161
y[1] (numeric) = 1.8175269694055495117165863411603
absolute error = 7e-31
relative error = 3.8513871418862406025604872802327e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1335.1MB, alloc=4.5MB, time=128.96
x[1] = 2.093
y[1] (analytic) = 1.818211232212396257158938197201
y[1] (numeric) = 1.8182112322123962571589381972012
absolute error = 2e-31
relative error = 1.0999822047993859806709046846452e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.094
y[1] (analytic) = 1.818895589720039768913394917649
y[1] (numeric) = 1.8188955897200397689133949176487
absolute error = 3e-31
relative error = 1.6493525065183940046103255992460e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.095
y[1] (analytic) = 1.819580041921092819769723737658
y[1] (numeric) = 1.8195800419210928197697237376583
absolute error = 3e-31
relative error = 1.6487320870109306243650319326510e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.096
y[1] (analytic) = 1.820264588808171466766177851858
y[1] (numeric) = 1.8202645888081714667661778518576
absolute error = 4e-31
relative error = 2.1974827311336219644055363542026e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.097
y[1] (analytic) = 1.820949230373895049139757010717
y[1] (numeric) = 1.8209492303738950491397570107172
absolute error = 2e-31
relative error = 1.0983282601400921546853540900403e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1339.0MB, alloc=4.5MB, time=129.32
x[1] = 2.098
y[1] (analytic) = 1.821633966610886186278239311964
y[1] (numeric) = 1.8216339666108861862782393119641
absolute error = 1e-31
relative error = 5.4895770408831371215298903541003e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.099
y[1] (analytic) = 1.822318797511770775673982229483
y[1] (numeric) = 1.8223187975117707756739822294819
absolute error = 1.1e-30
relative error = 6.0362654520271711533259203113495e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.1
y[1] (analytic) = 1.82300372306917799087949092478
y[1] (numeric) = 1.8230037230691779908794909247789
absolute error = 1.1e-30
relative error = 6.0339975507458577869660403712989e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.101
y[1] (analytic) = 1.823688743275740279464751888738
y[1] (numeric) = 1.8236887432757402794647518887377
absolute error = 3e-31
relative error = 1.6450175563464573073194676319274e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.102
y[1] (analytic) = 1.824373858124093360976329963991
y[1] (numeric) = 1.824373858124093360976329963991
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.103
y[1] (analytic) = 1.825059067606876224898226800891
y[1] (numeric) = 1.825059067606876224898226800891
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1342.8MB, alloc=4.5MB, time=129.69
x[1] = 2.104
y[1] (analytic) = 1.825744371716731128614498802665
y[1] (numeric) = 1.8257443717167311286144988026631
absolute error = 1.9e-30
relative error = 1.0406714266430666672258107860710e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.105
y[1] (analytic) = 1.826429770446303595373632617949
y[1] (numeric) = 1.8264297704463035953736326179491
absolute error = 1e-31
relative error = 5.4751626160563596371946689356544e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.106
y[1] (analytic) = 1.827115263788242412254676241561
y[1] (numeric) = 1.8271152637882424122546762415593
absolute error = 1.7e-30
relative error = 9.3042843748965871563780055370677e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.107
y[1] (analytic) = 1.82780085173519962813512378686
y[1] (numeric) = 1.8278008517351996281351237868599
absolute error = 1e-31
relative error = 5.4710555531838309620048664243955e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.108
y[1] (analytic) = 1.828486534279830551660551995828
y[1] (numeric) = 1.8284865342798305516605519958278
absolute error = 2e-31
relative error = 1.0938007814138603461709806669502e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.109
y[1] (analytic) = 1.829172311414793749216006555404
y[1] (numeric) = 1.8291723114147937492160065554038
absolute error = 2e-31
relative error = 1.0933907032810253220742839828425e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1346.6MB, alloc=4.5MB, time=130.05
x[1] = 2.11
y[1] (analytic) = 1.829858183132751042899136291371
y[1] (numeric) = 1.8298581831327510428991362913715
absolute error = 5e-31
relative error = 2.7324521900598370699515174712830e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.111
y[1] (analytic) = 1.830544149426367508495073313583
y[1] (numeric) = 1.8305441494263675084950733135819
absolute error = 1.1e-30
relative error = 6.0091421468567361139629948775632e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.112
y[1] (analytic) = 1.831230210288311473453057188931
y[1] (numeric) = 1.8312302102883114734530571889298
absolute error = 1.2e-30
relative error = 6.5529718396851387862392171760306e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.113
y[1] (analytic) = 1.831916365711254514864801221074
y[1] (numeric) = 1.8319163657112545148648012210736
absolute error = 4e-31
relative error = 2.1835057947347785417384121965030e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.114
y[1] (analytic) = 1.83260261568787145744459891847
y[1] (numeric) = 1.8326026156878714574445989184687
absolute error = 1.3e-30
relative error = 7.0937364645855976579939609426531e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1350.4MB, alloc=4.5MB, time=130.41
x[1] = 2.115
y[1] (analytic) = 1.833288960210840371511168734861
y[1] (numeric) = 1.8332889602108403715111687348595
absolute error = 1.5e-30
relative error = 8.1820162154224180030135187139718e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.116
y[1] (analytic) = 1.833975399272842570971235168948
y[1] (numeric) = 1.833975399272842570971235168948
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.117
y[1] (analytic) = 1.834661932866562611304844312524
y[1] (numeric) = 1.8346619328665626113048443125236
absolute error = 4e-31
relative error = 2.1802381835819805446144005981889e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.118
y[1] (analytic) = 1.835348560984688287552411938902
y[1] (numeric) = 1.8353485609846882875524119389009
absolute error = 1.1e-30
relative error = 5.9934119511872760829633588407190e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.119
y[1] (analytic) = 1.836035283619910632303502226074
y[1] (numeric) = 1.8360352836199106323035022260733
absolute error = 7e-31
relative error = 3.8125628970478514076541274034644e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.12
y[1] (analytic) = 1.836722100764923913687335211545
y[1] (numeric) = 1.8367221007649239136873352115447
absolute error = 3e-31
relative error = 1.6333445319521204150695281088318e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1354.2MB, alloc=4.5MB, time=130.78
x[1] = 2.121
y[1] (analytic) = 1.837409012412425633365021078352
y[1] (numeric) = 1.8374090124124256333650210783514
absolute error = 6e-31
relative error = 3.2654678187968076465489942439946e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.122
y[1] (analytic) = 1.838096018555116524523519374338
y[1] (numeric) = 1.8380960185551165245235193743357
absolute error = 2.3e-30
relative error = 1.2512948054846314217003206608790e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.123
y[1] (analytic) = 1.838783119185700549871321269275
y[1] (numeric) = 1.838783119185700549871321269274
absolute error = 1.0e-30
relative error = 5.4383792714110129803134109343240e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.124
y[1] (analytic) = 1.839470314296884899635852957002
y[1] (numeric) = 1.8394703142968848996358529570015
absolute error = 5e-31
relative error = 2.7181737922806267405117581620398e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.125
y[1] (analytic) = 1.840157603881379989562598312213
y[1] (numeric) = 1.8401576038813799895625983122116
absolute error = 1.4e-30
relative error = 7.6080439906181352592314883007627e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.126
y[1] (analytic) = 1.840844987931899458915938914139
y[1] (numeric) = 1.8408449879318994589159389141376
absolute error = 1.4e-30
relative error = 7.6052030951983222858073598320445e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1358.0MB, alloc=4.5MB, time=131.15
x[1] = 2.127
y[1] (analytic) = 1.841532466441160168481709551853
y[1] (numeric) = 1.8415324664411601684817095518528
absolute error = 2e-31
relative error = 1.0860519900933840615061449230515e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.128
y[1] (analytic) = 1.842220039401882198571467328446
y[1] (numeric) = 1.8422200394018821985714673284466
absolute error = 6e-31
relative error = 3.2569399266485200911785865192834e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.129
y[1] (analytic) = 1.842907706806788847028472483855
y[1] (numeric) = 1.8429077068067888470284724838548
absolute error = 2e-31
relative error = 1.0852415411867832453669888835829e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.13
y[1] (analytic) = 1.843595468648606627235379058637
y[1] (numeric) = 1.8435954686486066272353790586361
absolute error = 9e-31
relative error = 4.8817650905798683649419650418686e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.131
y[1] (analytic) = 1.844283324920065266123633523499
y[1] (numeric) = 1.8442833249200652661236335234986
absolute error = 4e-31
relative error = 2.1688641576658876852649592085818e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.132
y[1] (analytic) = 1.844971275613897702184579501888
y[1] (numeric) = 1.8449712756138977021845795018867
absolute error = 1.3e-30
relative error = 7.0461801610837362169403553898151e-29 %
Correct digits = 30
h = 0.001
memory used=1361.8MB, alloc=4.5MB, time=131.51
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.133
y[1] (analytic) = 1.845659320722840083482266715443
y[1] (numeric) = 1.8456593207228400834822667154424
absolute error = 6e-31
relative error = 3.2508708040713278963070052497577e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.134
y[1] (analytic) = 1.846347460239631765667962284654
y[1] (numeric) = 1.8463474602396317656679622846542
absolute error = 2e-31
relative error = 1.0832197314260806268566548171645e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.135
y[1] (analytic) = 1.847035694157015309996362519503
y[1] (numeric) = 1.8470356941570153099963625195016
absolute error = 1.4e-30
relative error = 7.5797127496172085632339017880446e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.136
y[1] (analytic) = 1.847724022467736481343503337397
y[1] (numeric) = 1.8477240224677364813435033373952
absolute error = 1.8e-30
relative error = 9.7417145532155909334311511167131e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.137
y[1] (analytic) = 1.8484124451645442462263674482
y[1] (numeric) = 1.8484124451645442462263674481992
absolute error = 8e-31
relative error = 4.3280383774346672869031793679598e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1365.7MB, alloc=4.5MB, time=131.88
x[1] = 2.138
y[1] (analytic) = 1.849100962240190770824186448608
y[1] (numeric) = 1.8491009622401907708241864486071
absolute error = 9e-31
relative error = 4.8672301749799945388232485407413e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.139
y[1] (analytic) = 1.849789573687431419001435970621
y[1] (numeric) = 1.8497895736874314190014359706204
absolute error = 6e-31
relative error = 3.2436121845142647873002208774596e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.14
y[1] (analytic) = 1.850478279499024750332522031357
y[1] (numeric) = 1.8504782794990247503325220313567
absolute error = 3e-31
relative error = 1.6212024930182819134204436541275e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.141
y[1] (analytic) = 1.851167079667732518128156733885
y[1] (numeric) = 1.8511670796677325181281567338843
absolute error = 7e-31
relative error = 3.7813982740317722603769894744642e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.142
y[1] (analytic) = 1.851855974186319667463421471249
y[1] (numeric) = 1.8518559741863196674634214712489
absolute error = 1e-31
relative error = 5.3999879792994506577056586399950e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.143
y[1] (analytic) = 1.852544963047554333207515788322
y[1] (numeric) = 1.8525449630475543332075157883221
absolute error = 1e-31
relative error = 5.3979796439322928743214835072504e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1369.5MB, alloc=4.5MB, time=132.25
x[1] = 2.144
y[1] (analytic) = 1.853234046244207838055190058562
y[1] (numeric) = 1.853234046244207838055190058561
absolute error = 1.0e-30
relative error = 5.3959725271970646792919994709341e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.145
y[1] (analytic) = 1.853923223769054690559860135226
y[1] (numeric) = 1.8539232237690546905598601352252
absolute error = 8e-31
relative error = 4.3151733024498586429176275614268e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.146
y[1] (analytic) = 1.85461249561487258316840213905
y[1] (numeric) = 1.8546124956148725831684021390489
absolute error = 1.1e-30
relative error = 5.9311581400475216108412366361017e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.147
y[1] (analytic) = 1.855301861774442390257625546816
y[1] (numeric) = 1.8553018617744423902576255468156
absolute error = 4e-31
relative error = 2.1559833913896532597810266024904e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.148
y[1] (analytic) = 1.855991322240548166172422747726
y[1] (numeric) = 1.855991322240548166172422747726
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.149
y[1] (analytic) = 1.856680877005977143265593236892
y[1] (numeric) = 1.8566808770059771432655932368922
absolute error = 2e-31
relative error = 1.0771910373877144611993117597297e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1373.3MB, alloc=4.5MB, time=132.62
x[1] = 2.15
y[1] (analytic) = 1.857370526063519729939340617729
y[1] (numeric) = 1.8573705260635197299393406177273
absolute error = 1.7e-30
relative error = 9.1527241126354674566188868819711e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.151
y[1] (analytic) = 1.858060269405969508688440587433
y[1] (numeric) = 1.8580602694059695086884405874326
absolute error = 4e-31
relative error = 2.1527826980977417723043106797590e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.152
y[1] (analytic) = 1.858750107026123234145078082216
y[1] (numeric) = 1.8587501070261232341450780822148
absolute error = 1.2e-30
relative error = 6.4559512086319141096612771668381e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.153
y[1] (analytic) = 1.85944003891678083112535176129
y[1] (numeric) = 1.8594400389167808311253517612903
absolute error = 3e-31
relative error = 1.6133889435594028783600697026576e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.154
y[1] (analytic) = 1.860130065070745392677444011156
y[1] (numeric) = 1.8601300650707453926774440111556
absolute error = 4e-31
relative error = 2.1503872632948761078433672889288e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1377.1MB, alloc=4.5MB, time=133.00
x[1] = 2.155
y[1] (analytic) = 1.860820185480823178131454654022
y[1] (numeric) = 1.8608201854808231781314546540213
absolute error = 7e-31
relative error = 3.7617820650366859557959675788237e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.156
y[1] (analytic) = 1.861510400139823611150896546722
y[1] (numeric) = 1.8615104001398236111508965467207
absolute error = 1.3e-30
relative error = 6.9835763469403830010419545829819e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.157
y[1] (analytic) = 1.862200709040559277785851258815
y[1] (numeric) = 1.8622007090405592777858512588145
absolute error = 5e-31
relative error = 2.6849952186819291631317906386130e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.158
y[1] (analytic) = 1.86289111217584592452778302102
y[1] (numeric) = 1.8628911121758459245277830210202
absolute error = 2e-31
relative error = 1.0736000547364315332037473054008e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.159
y[1] (analytic) = 1.863581609538502456366009137497
y[1] (numeric) = 1.8635816095385024563660091374964
absolute error = 6e-31
relative error = 3.2196067879666620149325994745281e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.16
y[1] (analytic) = 1.864272201121350934845825057915
y[1] (numeric) = 1.864272201121350934845825057913
absolute error = 2.0e-30
relative error = 1.0728047110271823151054142762694e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1380.9MB, alloc=4.5MB, time=133.37
x[1] = 2.161
y[1] (analytic) = 1.864962886917216576128282307631
y[1] (numeric) = 1.8649628869172165761282823076314
absolute error = 4e-31
relative error = 2.1448147992971589426897532781054e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.162
y[1] (analytic) = 1.865653666918927749051617476712
y[1] (numeric) = 1.8656536669189277490516174767127
absolute error = 7e-31
relative error = 3.7520361491102978740845113442930e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.163
y[1] (analytic) = 1.866344541119315973194330470858
y[1] (numeric) = 1.8663445411193159731943304708579
absolute error = 1e-31
relative error = 5.3580674841541473792042184596720e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.164
y[1] (analytic) = 1.867035509511215916939910229769
y[1] (numeric) = 1.8670355095112159169399102297682
absolute error = 8e-31
relative error = 4.2848676199492183684555351159579e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.165
y[1] (analytic) = 1.867726572087465395543206120796
y[1] (numeric) = 1.8677265720874653955432061207955
absolute error = 5e-31
relative error = 2.6770513814619812787194963320780e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.166
y[1] (analytic) = 1.868417728840905369198443218129
y[1] (numeric) = 1.8684177288409053691984432181279
absolute error = 1.1e-30
relative error = 5.8873344168190791639877069510933e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1384.7MB, alloc=4.5MB, time=133.74
x[1] = 2.167
y[1] (analytic) = 1.869108979764379941108879680129
y[1] (numeric) = 1.8691089797643799411088796801284
absolute error = 6e-31
relative error = 3.2100856958893646643926535818910e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.168
y[1] (analytic) = 1.869800324850736355558104439815
y[1] (numeric) = 1.8698003248507363555581044398145
absolute error = 5e-31
relative error = 2.6740823250199955299345356636716e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.169
y[1] (analytic) = 1.870491764092824995982973425832
y[1] (numeric) = 1.8704917640928249959829734258323
absolute error = 3e-31
relative error = 1.6038563000329372449416334231009e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.17
y[1] (analytic) = 1.871183297483499383048182533638
y[1] (numeric) = 1.8711832974834993830481825336387
absolute error = 7e-31
relative error = 3.7409483129814693929786186468579e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.171
y[1] (analytic) = 1.871874925015616172722475568966
y[1] (numeric) = 1.8718749250156161727224755689654
absolute error = 6e-31
relative error = 3.2053423654627698055126546331092e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1388.6MB, alloc=4.5MB, time=134.10
x[1] = 2.172
y[1] (analytic) = 1.872566646682035154356485387991
y[1] (numeric) = 1.8725666466820351543564853879911
absolute error = 1e-31
relative error = 5.3402638660251734024697348231608e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.173
y[1] (analytic) = 1.873258462475619248762206461
y[1] (numeric) = 1.8732584624756192487622064610003
absolute error = 3e-31
relative error = 1.6014874936346619964583473263666e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.174
y[1] (analytic) = 1.873950372389234506294097088654
y[1] (numeric) = 1.8739503723892345062940970886532
absolute error = 8e-31
relative error = 4.2690564904342813111617460183459e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.175
y[1] (analytic) = 1.874642376415750104931809502336
y[1] (numeric) = 1.8746423764157501049318095023349
absolute error = 1.1e-30
relative error = 5.8677858445895215479725824630879e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.176
y[1] (analytic) = 1.875334474548038348364546082394
y[1] (numeric) = 1.8753344745480383483645460823921
absolute error = 1.9e-30
relative error = 1.0131526006622931212065972827221e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.177
y[1] (analytic) = 1.876026666778974664077039930401
y[1] (numeric) = 1.8760266667789746640770399304004
absolute error = 6e-31
relative error = 3.1982487809203908353442008455982e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1392.4MB, alloc=4.5MB, time=134.47
x[1] = 2.178
y[1] (analytic) = 1.876718953101437601437158033941
y[1] (numeric) = 1.8767189531014376014371580339398
absolute error = 1.2e-30
relative error = 6.3941380142023822661214194128744e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.179
y[1] (analytic) = 1.877411333508308829785125264682
y[1] (numeric) = 1.8774113335083088297851252646819
absolute error = 1e-31
relative error = 5.3264832386587609557629537998581e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.18
y[1] (analytic) = 1.878103807992473136524367452921
y[1] (numeric) = 1.8781038079924731365243674529204
absolute error = 6e-31
relative error = 3.1947115886067391211910391357418e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.181
y[1] (analytic) = 1.878796376546818425213971783997
y[1] (numeric) = 1.8787963765468184252139717839955
absolute error = 1.5e-30
relative error = 7.9838348568510821932777005676258e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.182
y[1] (analytic) = 1.879489039164235713662762764383
y[1] (numeric) = 1.8794890391642357136627627643824
absolute error = 6e-31
relative error = 3.1923570050017732340801450415397e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.183
y[1] (analytic) = 1.880181795837619132024992007528
y[1] (numeric) = 1.8801817958376191320249920075276
absolute error = 4e-31
relative error = 2.1274538498645573540686377132428e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1396.2MB, alloc=4.5MB, time=134.83
x[1] = 2.184
y[1] (analytic) = 1.880874646559865920897640091827
y[1] (numeric) = 1.8808746465598659208976400918267
absolute error = 3e-31
relative error = 1.5950026257661683563845913763361e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.185
y[1] (analytic) = 1.881567591323876429419328745448
y[1] (numeric) = 1.8815675913238764294193287454467
absolute error = 1.3e-30
relative error = 6.9091326083338638885113400187336e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.186
y[1] (analytic) = 1.882260630122554113370841614997
y[1] (numeric) = 1.8822606301225541133708416149962
absolute error = 8e-31
relative error = 4.2502084312729419804440519886766e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.187
y[1] (analytic) = 1.882953762948805533277251877349
y[1] (numeric) = 1.8829537629488055332772518773492
absolute error = 2e-31
relative error = 1.0621609724860656414111532656739e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.188
y[1] (analytic) = 1.883646989795540352511654956225
y[1] (numeric) = 1.8836469897955403525116549562238
absolute error = 1.2e-30
relative error = 6.3706204320707325356240079607690e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1400.0MB, alloc=4.5MB, time=135.19
x[1] = 2.189
y[1] (analytic) = 1.884340310655671335400504607409
y[1] (numeric) = 1.8843403106556713354005046074088
absolute error = 2e-31
relative error = 1.0613794061987051305881687524714e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.19
y[1] (analytic) = 1.885033725522114345330550638822
y[1] (numeric) = 1.885033725522114345330550638822
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) = 1.885727234387788342857376533868
y[1] (numeric) = 1.8857272343877883428573765338683
absolute error = 3e-31
relative error = 1.5908981666555642672007993558435e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.192
y[1] (analytic) = 1.886420837245615383815535248848
y[1] (numeric) = 1.8864208372456153838155352488485
absolute error = 5e-31
relative error = 2.6505220369069698802280354097638e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.193
y[1] (analytic) = 1.887114534088520617430281457448
y[1] (numeric) = 1.8871145340885206174302814574477
absolute error = 3e-31
relative error = 1.5897286284475599509442533336997e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.194
y[1] (analytic) = 1.887808324909432284430898517608
y[1] (numeric) = 1.8878083249094322844308985176075
absolute error = 5e-31
relative error = 2.6485739754537184247625440160297e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1403.8MB, alloc=4.5MB, time=135.55
x[1] = 2.195
y[1] (analytic) = 1.888502209701281715165618438357
y[1] (numeric) = 1.888502209701281715165618438357
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.196
y[1] (analytic) = 1.889196188457003327718133126447
y[1] (numeric) = 1.8891961884570033277181331264467
absolute error = 3e-31
relative error = 1.5879769493131590258238426579878e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.197
y[1] (analytic) = 1.889890261169534626025695194892
y[1] (numeric) = 1.8898902611695346260256951948921
absolute error = 1e-31
relative error = 5.2913125198135191145727249931238e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.198
y[1] (analytic) = 1.890584427831816197998806617796
y[1] (numeric) = 1.8905844278318161979988066177961
absolute error = 1e-31
relative error = 5.2893697064184146064570172218748e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.199
y[1] (analytic) = 1.891278688436791713642493518076
y[1] (numeric) = 1.8912786884367917136424935180756
absolute error = 4e-31
relative error = 2.1149712226208928207236587724905e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.2
y[1] (analytic) = 1.891973042977407923179165376974
y[1] (numeric) = 1.8919730429774079231791653769724
absolute error = 1.6e-30
relative error = 8.4567801107888492393915403245109e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1407.6MB, alloc=4.5MB, time=135.92
x[1] = 2.201
y[1] (analytic) = 1.892667491446614655173056956479
y[1] (numeric) = 1.8926674914466146551730569564778
absolute error = 1.2e-30
relative error = 6.3402578922238950781218718480161e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.202
y[1] (analytic) = 1.893362033837364814656251228049
y[1] (numeric) = 1.8933620338373648146562512280479
absolute error = 1.1e-30
relative error = 5.8097710862543223455265103028525e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.203
y[1] (analytic) = 1.89405667014261438125628160323
y[1] (numeric) = 1.8940566701426143812562816032298
absolute error = 2e-31
relative error = 1.0559346145907073299412187544816e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.204
y[1] (analytic) = 1.894751400355322407325311764059
y[1] (numeric) = 1.8947514003553224073253117640589
absolute error = 1e-31
relative error = 5.2777372261736825757540296314560e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.205
y[1] (analytic) = 1.895446224468451016070891393323
y[1] (numeric) = 1.8954462244684510160708913933228
absolute error = 2e-31
relative error = 1.0551605074213432225448324978507e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1411.4MB, alloc=4.5MB, time=136.29
x[1] = 2.206
y[1] (analytic) = 1.896141142474965399688286107022
y[1] (numeric) = 1.896141142474965399688286107022
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.207
y[1] (analytic) = 1.896836154367833817494379893587
y[1] (numeric) = 1.8968361543678338174943798935858
absolute error = 1.2e-30
relative error = 6.3263239538995860521387847105513e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.208
y[1] (analytic) = 1.897531260140027594063148366627
y[1] (numeric) = 1.8975312601400275940631483666279
absolute error = 9e-31
relative error = 4.7430048658781244215187688290511e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.209
y[1] (analytic) = 1.89822645978452111736270114025
y[1] (numeric) = 1.8982264597845211173627011402492
absolute error = 8e-31
relative error = 4.2144602709352851345778959694192e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.21
y[1] (analytic) = 1.898921753294291836893891638115
y[1] (numeric) = 1.8989217532942918368938916381144
absolute error = 6e-31
relative error = 3.1596878542209894087036592735448e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.211
y[1] (analytic) = 1.899617140662320261830492649744
y[1] (numeric) = 1.8996171406623202618304926497442
absolute error = 2e-31
relative error = 1.0528437321336657678644852724772e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1415.3MB, alloc=4.5MB, time=136.66
x[1] = 2.212
y[1] (analytic) = 1.900312621881589959160935949678
y[1] (numeric) = 1.9003126218815899591609359496775
absolute error = 5e-31
relative error = 2.6311460243048125731974819610111e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.213
y[1] (analytic) = 1.901008196945087551831614297367
y[1] (numeric) = 1.9010081969450875518316142973666
absolute error = 4e-31
relative error = 2.1041466346268173629619695518670e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.214
y[1] (analytic) = 1.901703865845802716891744137874
y[1] (numeric) = 1.9017038658458027168917441378743
absolute error = 3e-31
relative error = 1.5775326820749341914575646212924e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.215
y[1] (analytic) = 1.902399628576728183639787325643
y[1] (numeric) = 1.9023996285767281836397873256434
absolute error = 4e-31
relative error = 2.1026076434805562908091176589914e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.216
y[1] (analytic) = 1.903095485130859731771430195808
y[1] (numeric) = 1.9030954851308597317714301958072
absolute error = 8e-31
relative error = 4.2036776727731598119404683432205e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.217
y[1] (analytic) = 1.903791435501196189529118309707
y[1] (numeric) = 1.9037914355011961895291183097058
absolute error = 1.2e-30
relative error = 6.3032114633086656537003691523061e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1419.1MB, alloc=4.5MB, time=137.02
x[1] = 2.218
y[1] (analytic) = 1.904487479680739431853145203464
y[1] (numeric) = 1.9044874796807394318531452034645
absolute error = 5e-31
relative error = 2.6253782465601610311437649593806e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.219
y[1] (analytic) = 1.905183617662494378534293470679
y[1] (numeric) = 1.9051836176624943785342934706781
absolute error = 9e-31
relative error = 4.7239541199930478674962753191675e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.22
y[1] (analytic) = 1.905879849439468992368026512432
y[1] (numeric) = 1.9058798494394689923680265124314
absolute error = 6e-31
relative error = 3.1481522834530397976676392339038e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.221
y[1] (analytic) = 1.906576175004674277310229290068
y[1] (numeric) = 1.9065761750046742773102292900663
absolute error = 1.7e-30
relative error = 8.9165070994125486610461381344730e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.222
y[1] (analytic) = 1.907272594351124276634496418286
y[1] (numeric) = 1.9072725943511242766344964182859
absolute error = 1e-31
relative error = 5.2430890212639547632898163869367e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.223
y[1] (analytic) = 1.907969107471836071090965938359
y[1] (numeric) = 1.9079691074718360710909659383589
absolute error = 1e-31
relative error = 5.2411750068902056792310311874060e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=1422.9MB, alloc=4.5MB, time=137.38
TOP MAIN SOLVE Loop
x[1] = 2.224
y[1] (analytic) = 1.908665714359829777066697113362
y[1] (numeric) = 1.9086657143598297770666971133612
absolute error = 8e-31
relative error = 4.1914097056451897789067220560181e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.225
y[1] (analytic) = 1.90936241500812854474759058956
y[1] (numeric) = 1.9093624150081285447475905895583
absolute error = 1.7e-30
relative error = 8.9034956728880763775864678287648e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.226
y[1] (analytic) = 1.910059209409758556281849270198
y[1] (numeric) = 1.9100592094097585562818492701974
absolute error = 6e-31
relative error = 3.1412638783350093773523038162958e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.227
y[1] (analytic) = 1.91075609755774902394497825014
y[1] (numeric) = 1.9107560975577490239449782501401
absolute error = 1e-31
relative error = 5.2335303353377202719342948169796e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.228
y[1] (analytic) = 1.911453079445132188306322161924
y[1] (numeric) = 1.9114530794451321883063221619242
absolute error = 2e-31
relative error = 1.0463244018422736963922330869749e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1426.7MB, alloc=4.5MB, time=137.75
x[1] = 2.229
y[1] (analytic) = 1.912150155064943316397138285999
y[1] (numeric) = 1.912150155064943316397138285998
absolute error = 1.0e-30
relative error = 5.2297148179037043123394654611878e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.23
y[1] (analytic) = 1.912847324410220699880203780022
y[1] (numeric) = 1.9128473244102206998802037800226
absolute error = 6e-31
relative error = 3.1366852562840853151452176013421e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.231
y[1] (analytic) = 1.913544587474005653220955384285
y[1] (numeric) = 1.913544587474005653220955384285
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) = 1.914241944249342511860159962411
y[1] (numeric) = 1.9142419442493425118601599624104
absolute error = 6e-31
relative error = 3.1344000260911955152101036537636e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.233
y[1] (analytic) = 1.914939394729278630388114238704
y[1] (numeric) = 1.914939394729278630388114238704
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) = 1.91563693890686438072037209559
y[1] (numeric) = 1.9156369389068643807203720955895
absolute error = 5e-31
relative error = 2.6100979253684630930264515151028e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1430.5MB, alloc=4.5MB, time=138.11
x[1] = 2.235
y[1] (analytic) = 1.916334576775153150274997796749
y[1] (numeric) = 1.9163345767751531502749977967483
absolute error = 7e-31
relative error = 3.6528068140270904816993307759263e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.236
y[1] (analytic) = 1.917032308327201340151343503693
y[1] (numeric) = 1.9170323083272013401513435036938
absolute error = 8e-31
relative error = 4.1731169397874073516622688345544e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.237
y[1] (analytic) = 1.917730133556068363310349455645
y[1] (numeric) = 1.9177301335560683633103494556441
absolute error = 9e-31
relative error = 4.6930482253575479248043333914202e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.238
y[1] (analytic) = 1.918428052454816642756365184683
y[1] (numeric) = 1.9184280524548166427563651846821
absolute error = 9e-31
relative error = 4.6913409071993178290754089268313e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.239
y[1] (analytic) = 1.919126065016511609720490140312
y[1] (numeric) = 1.9191260650165116097204901403125
absolute error = 5e-31
relative error = 2.6053525566372740789180642734323e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.24
y[1] (analytic) = 1.919824171234221701845432099646
y[1] (numeric) = 1.9198241712342217018454320996455
absolute error = 5e-31
relative error = 2.6044051715348424938796463761247e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1434.3MB, alloc=4.5MB, time=138.47
x[1] = 2.241
y[1] (analytic) = 1.920522371101018361371881741552
y[1] (numeric) = 1.9205223711010183613718817415514
absolute error = 6e-31
relative error = 3.1241500178726132029599636243622e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.242
y[1] (analytic) = 1.921220664609976033326401765244
y[1] (numeric) = 1.9212206646099760333264017652425
absolute error = 1.5e-30
relative error = 7.8075362587488752946477291728197e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.243
y[1] (analytic) = 1.92191905175417216371082893585
y[1] (numeric) = 1.9219190517541721637108289358478
absolute error = 2.2e-30
relative error = 1.1446892094607304364165765536021e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.244
y[1] (analytic) = 1.922617532526687197693187441651
y[1] (numeric) = 1.9226175325266871976931874416512
absolute error = 2e-31
relative error = 1.0402484977714821097367326754594e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.245
y[1] (analytic) = 1.923316106920604577800111949768
y[1] (numeric) = 1.9233161069206045778001119497677
absolute error = 3e-31
relative error = 1.5598059981950962030687228478000e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1438.1MB, alloc=4.5MB, time=138.84
x[1] = 2.246
y[1] (analytic) = 1.92401477492901074211077874913
y[1] (numeric) = 1.9240147749290107421107787491292
absolute error = 8e-31
relative error = 4.1579722277835269548667289214751e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.247
y[1] (analytic) = 1.92471353654499512245234337175
y[1] (numeric) = 1.9247135365449951224523433717485
absolute error = 1.5e-30
relative error = 7.7933675402554308752377233702486e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.248
y[1] (analytic) = 1.925412391761650142596883085325
y[1] (numeric) = 1.925412391761650142596883085324
absolute error = 1.0e-30
relative error = 5.1936925527162161732547633899813e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.249
y[1] (analytic) = 1.926111340572071216459842652335
y[1] (numeric) = 1.9261113405720712164598426523346
absolute error = 4e-31
relative error = 2.0767231445779071444701670123388e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.25
y[1] (analytic) = 1.926810382969356746299981752862
y[1] (numeric) = 1.9268103829693567462999817528625
absolute error = 5e-31
relative error = 2.5949621427172463411420321049979e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.251
y[1] (analytic) = 1.927509518946608120920822470465
y[1] (numeric) = 1.9275095189466081209208224704647
absolute error = 3e-31
relative error = 1.5564125471294753126008565479063e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1442.0MB, alloc=4.5MB, time=139.20
x[1] = 2.252
y[1] (analytic) = 1.928208748496929713873595242494
y[1] (numeric) = 1.9282087484969297138735952424928
absolute error = 1.2e-30
relative error = 6.2233925706198545420969209856671e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.253
y[1] (analytic) = 1.92890807161342888166168167834
y[1] (numeric) = 1.9289080716134288816616816783382
absolute error = 1.8e-30
relative error = 9.3317044315875346796316555501930e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.254
y[1] (analytic) = 1.929607488289215961946552651153
y[1] (numeric) = 1.9296074882892159619465526511532
absolute error = 2e-31
relative error = 1.0364802231220577514835890520981e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.255
y[1] (analytic) = 1.930306998517404271755200070671
y[1] (numeric) = 1.9303069985174042717552000706693
absolute error = 1.7e-30
relative error = 8.8068892736010678177957662665515e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.256
y[1] (analytic) = 1.931006602291110105689060746801
y[1] (numeric) = 1.9310066022911101056890607468002
absolute error = 8e-31
relative error = 4.1429169587033628413720265084295e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.257
y[1] (analytic) = 1.931706299603452734134430755782
y[1] (numeric) = 1.9317062996034527341344307557819
absolute error = 1e-31
relative error = 5.1767704034784346613733014159957e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1445.8MB, alloc=4.5MB, time=139.57
x[1] = 2.258
y[1] (analytic) = 1.932406090447554401474368722665
y[1] (numeric) = 1.9324060904475544014743687226632
absolute error = 1.8e-30
relative error = 9.3148122897041349941281606019719e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.259
y[1] (analytic) = 1.933105974816540324302086436016
y[1] (numeric) = 1.9331059748165403243020864360166
absolute error = 6e-31
relative error = 3.1038132819228519420040813757667e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.26
y[1] (analytic) = 1.933805952703538689635825212796
y[1] (numeric) = 1.9338059527035386896358252127957
absolute error = 3e-31
relative error = 1.5513448988022190360511750812342e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.261
y[1] (analytic) = 1.934506024101680653135216433315
y[1] (numeric) = 1.9345060241016806531352164333153
absolute error = 3e-31
relative error = 1.5507834881998358264344859370452e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.262
y[1] (analytic) = 1.93520618900410033731912466838
y[1] (numeric) = 1.9352061890041003373191246683794
absolute error = 6e-31
relative error = 3.1004448177626653561760808639717e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1449.6MB, alloc=4.5MB, time=139.92
x[1] = 2.263
y[1] (analytic) = 1.935906447403934829784971822628
y[1] (numeric) = 1.9359064474039348297849718226271
absolute error = 9e-31
relative error = 4.6489849817221632728697491849360e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.264
y[1] (analytic) = 1.936606799294324181429540720209
y[1] (numeric) = 1.9366067992943241814295407202086
absolute error = 4e-31
relative error = 2.0654683240075120309788004788325e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.265
y[1] (analytic) = 1.937307244668411404671256560944
y[1] (numeric) = 1.9373072446684114046712565609428
absolute error = 1.2e-30
relative error = 6.1941646236159687446891336412991e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.266
y[1] (analytic) = 1.938007783519342471673944677143
y[1] (numeric) = 1.9380077835193424716739446771429
absolute error = 1e-31
relative error = 5.1599379966577900204085201252086e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.267
y[1] (analytic) = 1.93870841584026631257206302333
y[1] (numeric) = 1.9387084158402663125720630233292
absolute error = 8e-31
relative error = 4.1264585920377695657173471465546e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.268
y[1] (analytic) = 1.939409141624334813697407833081
y[1] (numeric) = 1.9394091416243348136974078330797
absolute error = 1.3e-30
relative error = 6.7030724569607659214302808233042e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1453.4MB, alloc=4.5MB, time=140.28
x[1] = 2.269
y[1] (analytic) = 1.940109960864702815807290879292
y[1] (numeric) = 1.9401099608647028158072908792919
absolute error = 1e-31
relative error = 5.1543470224455842781423470195702e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.27
y[1] (analytic) = 1.940810873554528112314186776158
y[1] (numeric) = 1.9408108735545281123141867761568
absolute error = 1.2e-30
relative error = 6.1829826715791293336689267194622e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.271
y[1] (analytic) = 1.941511879686971447516848763164
y[1] (numeric) = 1.941511879686971447516848763163
absolute error = 1.0e-30
relative error = 5.1506251929873809211737047606930e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.272
y[1] (analytic) = 1.942212979255196514832891413468
y[1] (numeric) = 1.9422129792551965148328914134679
absolute error = 1e-31
relative error = 5.1487659215596524345580620948087e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.273
y[1] (analytic) = 1.942914172252369955032838710986
y[1] (numeric) = 1.9429141722523699550328387109866
absolute error = 6e-31
relative error = 3.0881446466800722242003640003541e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.274
y[1] (analytic) = 1.94361545867166135447563594256
y[1] (numeric) = 1.9436154586716613544756359425596
absolute error = 4e-31
relative error = 2.0580202643241723598834024552206e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1457.2MB, alloc=4.5MB, time=140.65
x[1] = 2.275
y[1] (analytic) = 1.94431683850624324334562385357
y[1] (numeric) = 1.9443168385062432433456238535696
absolute error = 4e-31
relative error = 2.0572778678772708235439560533908e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.276
y[1] (analytic) = 1.945018311749291093890973517382
y[1] (numeric) = 1.9450183117492910938909735173814
absolute error = 6e-31
relative error = 3.0848038621311385380086837383221e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.277
y[1] (analytic) = 1.945719878393983318663580370982
y[1] (numeric) = 1.9457198783939833186635803709812
absolute error = 8e-31
relative error = 4.1115887691928604595021211236595e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.278
y[1] (analytic) = 1.946421538433501268760415871192
y[1] (numeric) = 1.9464215384335012687604158711909
absolute error = 1.1e-30
relative error = 5.6513965668777512356063110901120e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.279
y[1] (analytic) = 1.947123291861029232066335227828
y[1] (numeric) = 1.9471232918610292320663352278285
absolute error = 5e-31
relative error = 2.5678908063500591914896909265724e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1461.0MB, alloc=4.5MB, time=141.01
x[1] = 2.28
y[1] (analytic) = 1.947825138669754431498339672178
y[1] (numeric) = 1.9478251386697544314983396721769
absolute error = 1.1e-30
relative error = 5.6473241779353602354628171818996e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.281
y[1] (analytic) = 1.948527078852867023251291721117
y[1] (numeric) = 1.9485270788528670232512917211163
absolute error = 7e-31
relative error = 3.5924571313225095352003604561945e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.282
y[1] (analytic) = 1.949229112403560095045081899259
y[1] (numeric) = 1.9492291124035600950450818992592
absolute error = 2e-31
relative error = 1.0260466495566728004954100465219e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.283
y[1] (analytic) = 1.949931239315029664373245383411
y[1] (numeric) = 1.9499312393150296643732453834115
absolute error = 5e-31
relative error = 2.5641929823927515145412675659409e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.284
y[1] (analytic) = 1.950633459580474676753027035664
y[1] (numeric) = 1.9506334595804746767530270356641
absolute error = 1e-31
relative error = 5.1265397662924910826621002168168e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.285
y[1] (analytic) = 1.951335773193097003976893293397
y[1] (numeric) = 1.9513357731930970039768932933978
absolute error = 8e-31
relative error = 4.0997557211330586584864903925903e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1464.8MB, alloc=4.5MB, time=141.37
x[1] = 2.286
y[1] (analytic) = 1.952038180146101442365489386457
y[1] (numeric) = 1.952038180146101442365489386456
absolute error = 1.0e-30
relative error = 5.1228506192699284885409991985092e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.287
y[1] (analytic) = 1.952740680432695711022040353715
y[1] (numeric) = 1.9527406804326957110220403537154
absolute error = 4e-31
relative error = 2.0484030675868670786388144313076e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.288
y[1] (analytic) = 1.95344327404609045008819433325
y[1] (numeric) = 1.9534432740460904500881943332495
absolute error = 5e-31
relative error = 2.5595828998114166237671082663986e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.289
y[1] (analytic) = 1.954145960979499219001306602249
y[1] (numeric) = 1.954145960979499219001306602248
absolute error = 1.0e-30
relative error = 5.1173250103526474291530038115448e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.29
y[1] (analytic) = 1.954848741226138494753162844818
y[1] (numeric) = 1.9548487412261384947531628448173
absolute error = 7e-31
relative error = 3.5808397101912829264701618180673e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.291
y[1] (analytic) = 1.955551614779227670150140127746
y[1] (numeric) = 1.9555516147792276701501401277452
absolute error = 8e-31
relative error = 4.0909173348018028924423829444767e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1468.7MB, alloc=4.5MB, time=141.74
x[1] = 2.292
y[1] (analytic) = 1.956254581631989052074804066273
y[1] (numeric) = 1.9562545816319890520748040662724
absolute error = 6e-31
relative error = 3.0670854684948776419675594091538e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.293
y[1] (analytic) = 1.956957641777647859748940663865
y[1] (numeric) = 1.9569576417776478597489406638645
absolute error = 5e-31
relative error = 2.5549863181801595050362017699525e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.294
y[1] (analytic) = 1.95766079520943222299802131193
y[1] (numeric) = 1.9576607952094322229980213119302
absolute error = 2e-31
relative error = 1.0216274468458353597111719471119e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.295
y[1] (analytic) = 1.958364041920573180517099437379
y[1] (numeric) = 1.9583640419205731805170994373792
absolute error = 2e-31
relative error = 1.0212605813771959972710980906238e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.296
y[1] (analytic) = 1.959067381904304678138137287857
y[1] (numeric) = 1.9590673819043046781381372878578
absolute error = 8e-31
relative error = 4.0835757227623419709088040797563e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1472.5MB, alloc=4.5MB, time=142.10
x[1] = 2.297
y[1] (analytic) = 1.959770815153863567098761346441
y[1] (numeric) = 1.9597708151538635670987613464415
absolute error = 5e-31
relative error = 2.5513187365265693062135519058915e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.298
y[1] (analytic) = 1.960474341662489602312444869504
y[1] (numeric) = 1.9604743416624896023124448695037
absolute error = 3e-31
relative error = 1.5302419094431956383208491307947e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.299
y[1] (analytic) = 1.961177961423425440640116043415
y[1] (numeric) = 1.9611779614234254406401160434154
absolute error = 4e-31
relative error = 2.0395905311401699361777425267115e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.3
y[1] (analytic) = 1.961881674429916639163190257663
y[1] (numeric) = 1.961881674429916639163190257663
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.301
y[1] (analytic) = 1.962585480675211653458024993904
y[1] (numeric) = 1.9625854806752116534580249939026
absolute error = 1.4e-30
relative error = 7.1334472499936223351026753191228e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.302
y[1] (analytic) = 1.963289380152561835871795832396
y[1] (numeric) = 1.9632893801525618358717958323951
absolute error = 9e-31
relative error = 4.5841433723339524564724161515769e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1476.3MB, alloc=4.5MB, time=142.47
x[1] = 2.303
y[1] (analytic) = 1.963993372855221433799792079192
y[1] (numeric) = 1.9639933728552214337997920791919
absolute error = 1e-31
relative error = 5.0916668753633132700922780877511e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.304
y[1] (analytic) = 1.964697458776447587964130519362
y[1] (numeric) = 1.9646974587764475879641305193611
absolute error = 9e-31
relative error = 4.5808579635487083138458086737280e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.305
y[1] (analytic) = 1.965401637909500330693885803464
y[1] (numeric) = 1.9654016379095003306938858034633
absolute error = 7e-31
relative error = 3.5616129878906332719767803599819e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.306
y[1] (analytic) = 1.966105910247642584206635976402
y[1] (numeric) = 1.9661059102476425842066359764019
absolute error = 1e-31
relative error = 5.0861959917207315046567579713422e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.307
y[1] (analytic) = 1.966810275784140158891421659684
y[1] (numeric) = 1.9668102757841401588914216596837
absolute error = 3e-31
relative error = 1.5253123480880438928005873871689e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.308
y[1] (analytic) = 1.967514734512261751593117400038
y[1] (numeric) = 1.9675147345122617515931174000378
absolute error = 2e-31
relative error = 1.0165108117961775787321490872295e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1480.1MB, alloc=4.5MB, time=142.83
x[1] = 2.309
y[1] (analytic) = 1.968219286425278943898213699247
y[1] (numeric) = 1.9682192864252789438982136992458
absolute error = 1.2e-30
relative error = 6.0968816243004361160116611196084e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.31
y[1] (analytic) = 1.96892393151646620042200824194
y[1] (numeric) = 1.9689239315164662004220082419401
absolute error = 1e-31
relative error = 5.0789163765702187286440501540187e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.311
y[1] (analytic) = 1.96962866977910086709720484003
y[1] (numeric) = 1.9696286697791008670972048400303
absolute error = 3e-31
relative error = 1.5231297381229011245301431986742e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.312
y[1] (analytic) = 1.970333501206463169463918614314
y[1] (numeric) = 1.9703335012064631694639186143127
absolute error = 1.3e-30
relative error = 6.5978678188438228754541755706127e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.313
y[1] (analytic) = 1.971038425791836210961085935717
y[1] (numeric) = 1.9710384257918362109610859357165
absolute error = 5e-31
relative error = 2.5367339035977049699366812975769e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.314
y[1] (analytic) = 1.97174344352850597121927765053
y[1] (numeric) = 1.9717434435285059712192776505295
absolute error = 5e-31
relative error = 2.5358268675423206966006922123611e-29 %
Correct digits = 30
h = 0.001
memory used=1483.9MB, alloc=4.5MB, time=143.19
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.315
y[1] (analytic) = 1.972448554409761304354914115839
y[1] (numeric) = 1.9724485544097613043549141158392
absolute error = 2e-31
relative error = 1.0139681440758708329328318112465e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.316
y[1] (analytic) = 1.973153758428893937265880573309
y[1] (numeric) = 1.9731537584288939372658805733081
absolute error = 9e-31
relative error = 4.5612258859979415101391649065089e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.317
y[1] (analytic) = 1.973859055579198467928541391291
y[1] (numeric) = 1.9738590555791984679285413912893
absolute error = 1.7e-30
relative error = 8.6125703615710354970868436512352e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.318
y[1] (analytic) = 1.974564445853972363696151707168
y[1] (numeric) = 1.9745644458539723636961517071676
absolute error = 4e-31
relative error = 2.0257632048418932245447561921804e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.319
y[1] (analytic) = 1.97526992924651595959866500369
y[1] (numeric) = 1.9752699292465159595986650036895
absolute error = 5e-31
relative error = 2.5312996092171027263191430847361e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1487.7MB, alloc=4.5MB, time=143.56
x[1] = 2.32
y[1] (analytic) = 1.975975505750132456643935154922
y[1] (numeric) = 1.9759755057501324566439351549219
absolute error = 1e-31
relative error = 5.0607914778800540121751883083681e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.321
y[1] (analytic) = 1.976681175358127920120311479352
y[1] (numeric) = 1.9766811753581279201203114793513
absolute error = 7e-31
relative error = 3.5412893527109982263929872672663e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.322
y[1] (analytic) = 1.977386938063811277900625339504
y[1] (numeric) = 1.977386938063811277900625339504
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.323
y[1] (analytic) = 1.978092793860494318747566829337
y[1] (numeric) = 1.9780927938604943187475668293372
absolute error = 2e-31
relative error = 1.0110749132737858275487475828982e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.324
y[1] (analytic) = 1.978798742741491690620450092513
y[1] (numeric) = 1.9787987427414916906204500925116
absolute error = 1.4e-30
relative error = 7.0749994416329312093755401325274e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.325
y[1] (analytic) = 1.979504784700120898983365816521
y[1] (numeric) = 1.9795047847001208989833658165207
absolute error = 3e-31
relative error = 1.5155305625868825281328068021696e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1491.5MB, alloc=4.5MB, time=143.93
x[1] = 2.326
y[1] (analytic) = 1.980210919729702305114719449509
y[1] (numeric) = 1.9802109197297023051147194495079
absolute error = 1.1e-30
relative error = 5.5549638123910022239754328540318e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.327
y[1] (analytic) = 1.98091714782355912441815368846
y[1] (numeric) = 1.9809171478235591244181536884593
absolute error = 7e-31
relative error = 3.5337166966780642296807798000750e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.328
y[1] (analytic) = 1.981623468975017424734853789314
y[1] (numeric) = 1.9816234689750174247348537893133
absolute error = 7e-31
relative error = 3.5324571542446996910929411319179e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.329
y[1] (analytic) = 1.982329883177406124657234251379
y[1] (numeric) = 1.9823298831774061246572342513771
absolute error = 1.9e-30
relative error = 9.5846812184183871524502542847753e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.33
y[1] (analytic) = 1.983036390424056991844005430289
y[1] (numeric) = 1.983036390424056991844005430288
absolute error = 1.0e-30
relative error = 5.0427718060491957776786010732430e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.331
y[1] (analytic) = 1.983742990708304641336618635603
y[1] (numeric) = 1.9837429907083046413366186356024
absolute error = 6e-31
relative error = 3.0245853561189759537056560880305e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1495.4MB, alloc=4.5MB, time=144.30
TOP MAIN SOLVE Loop
x[1] = 2.332
y[1] (analytic) = 1.984449684023486533877088270937
y[1] (numeric) = 1.9844496840234865338770882709362
absolute error = 8e-31
relative error = 4.0313443391418926470541522234397e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.333
y[1] (analytic) = 1.985156470362942974227189576421
y[1] (numeric) = 1.9851564703629429742271895764201
absolute error = 9e-31
relative error = 4.5336476667527091361874428621254e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.334
y[1] (analytic) = 1.985863349720017109489030535069
y[1] (numeric) = 1.985863349720017109489030535068
absolute error = 1.0e-30
relative error = 5.0355932100815899253068218672991e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.335
y[1] (analytic) = 1.986570322088054927426996506494
y[1] (numeric) = 1.9865703220880549274269965064929
absolute error = 1.1e-30
relative error = 5.5371812805690469306172233209462e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.336
y[1] (analytic) = 1.987277387460405254791066153232
y[1] (numeric) = 1.9872773874604052547910661532318
absolute error = 2e-31
relative error = 1.0064020315532565440701994575629e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1499.2MB, alloc=4.5MB, time=144.66
x[1] = 2.337
y[1] (analytic) = 1.987984545830419755641497226772
y[1] (numeric) = 1.9879845458304197556414972267723
absolute error = 3e-31
relative error = 1.5090660570235176218030672751874e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.338
y[1] (analytic) = 1.988691797191452929674880782197
y[1] (numeric) = 1.9886917971914529296748807821962
absolute error = 8e-31
relative error = 4.0227450081998973935754245627773e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.339
y[1] (analytic) = 1.98939914153686211055156239218
y[1] (numeric) = 1.9893991415368621105515623921795
absolute error = 5e-31
relative error = 2.5133216837207294322354806053875e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.34
y[1] (analytic) = 1.990106578860007464224428932907
y[1] (numeric) = 1.9901065788600074642244289329072
absolute error = 2e-31
relative error = 1.0049713021629523897832756992993e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.341
y[1] (analytic) = 1.990814109154251987269059516279
y[1] (numeric) = 1.990814109154251987269059516278
absolute error = 1.0e-30
relative error = 5.0230706895322597715961253817246e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.342
y[1] (analytic) = 1.99152173241296150521523914459
y[1] (numeric) = 1.9915217324129615052152391445888
absolute error = 1.2e-30
relative error = 6.0255430833087603276917398039473e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1503.0MB, alloc=4.5MB, time=145.03
x[1] = 2.343
y[1] (analytic) = 1.992229448629504670879833665701
y[1] (numeric) = 1.9922294486295046708798336657002
absolute error = 8e-31
relative error = 4.0156017197232795652567338342526e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.344
y[1] (analytic) = 1.992937257797252962701024608493
y[1] (numeric) = 1.9929372577972529627010246084924
absolute error = 6e-31
relative error = 3.0106316576326441727768239751730e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.345
y[1] (analytic) = 1.993645159909580683073902480229
y[1] (numeric) = 1.993645159909580683073902480228
absolute error = 1.0e-30
relative error = 5.0159377411241715974653584634340e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.346
y[1] (analytic) = 1.994353154959864956687417109241
y[1] (numeric) = 1.9943531549598649566874171092406
absolute error = 4e-31
relative error = 2.0056628336120827931788533584174e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.347
y[1] (analytic) = 1.995061242941485728862683618169
y[1] (numeric) = 1.9950612429414857288626836181692
absolute error = 2e-31
relative error = 1.0024754914547047429738953055870e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.348
y[1] (analytic) = 1.995769423847825763892642614757
y[1] (numeric) = 1.9957694238478257638926426147561
absolute error = 9e-31
relative error = 4.5095389740203954785950813540850e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1506.8MB, alloc=4.5MB, time=145.39
TOP MAIN SOLVE Loop
x[1] = 2.349
y[1] (analytic) = 1.996477697672270643383073189022
y[1] (numeric) = 1.9964776976722706433830731890221
absolute error = 1e-31
relative error = 5.0088212914470221040531237671608e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.35
y[1] (analytic) = 1.997186064408208764594957307424
y[1] (numeric) = 1.9971860644082087645949573074232
absolute error = 8e-31
relative error = 4.0056358005734934661703915487476e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.351
y[1] (analytic) = 1.997894524049031338788194196386
y[1] (numeric) = 1.9978945240490313387881941963859
absolute error = 1e-31
relative error = 5.0052692370033168719543295066235e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.352
y[1] (analytic) = 1.998603076588132389566663309404
y[1] (numeric) = 1.9986030765881323895666633094029
absolute error = 1.1e-30
relative error = 5.5038442244261866354125175564863e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.353
y[1] (analytic) = 1.999311722018908751224634473656
y[1] (numeric) = 1.9993117220189087512246344736562
absolute error = 2e-31
relative error = 1.0003442574629614157269674454084e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1510.6MB, alloc=4.5MB, time=145.75
x[1] = 2.354
y[1] (analytic) = 2.000020460334760067094523813918
y[1] (numeric) = 2.0000204603347600670945238139173
absolute error = 7e-31
relative error = 3.4999641947804632715241628581472e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.355
y[1] (analytic) = 2.000729291529088787895994053253
y[1] (numeric) = 2.0007292915290887878959940532522
absolute error = 8e-31
relative error = 3.9985419486140847862743104817543e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.356
y[1] (analytic) = 2.001438215595300170086397791836
y[1] (numeric) = 2.0014382155953001700863977918359
absolute error = 1e-31
relative error = 4.9964070447338980366421325467923e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.357
y[1] (analytic) = 2.002147232526802274212562366956
y[1] (numeric) = 2.002147232526802274212562366955
absolute error = 1.0e-30
relative error = 4.9946376757615063913247173946782e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.358
y[1] (analytic) = 2.002856342317005963263914899049
y[1] (numeric) = 2.0028563423170059632639148990484
absolute error = 6e-31
relative error = 2.9957215968165221455162484639885e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.359
y[1] (analytic) = 2.003565544959324901026946130405
y[1] (numeric) = 2.0035655449593249010269461304034
absolute error = 1.6e-30
relative error = 7.9857632011359137784442059712064e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1514.4MB, alloc=4.5MB, time=146.11
x[1] = 2.36
y[1] (analytic) = 2.004274840447175550441011664893
y[1] (numeric) = 2.0042748404471755504410116648926
absolute error = 4e-31
relative error = 1.9957342771950160418425070625346e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.361
y[1] (analytic) = 2.004984228773977171955469218899
y[1] (numeric) = 2.0049842287739771719554692188977
absolute error = 1.3e-30
relative error = 6.4838415252519655595405749178990e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.362
y[1] (analytic) = 2.00569370993315182188815049533
y[1] (numeric) = 2.0056937099331518218881504953295
absolute error = 5e-31
relative error = 2.4929030665238741902454107792461e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.363
y[1] (analytic) = 2.006403283918124350785166294408
y[1] (numeric) = 2.0064032839181243507851662944083
absolute error = 3e-31
relative error = 1.4952128637576639472518573861022e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.364
y[1] (analytic) = 2.007112950722322401782043476628
y[1] (numeric) = 2.0071129507223224017820434766283
absolute error = 3e-31
relative error = 1.4946841924966684730772885609974e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.365
y[1] (analytic) = 2.007822710339176408966192395078
y[1] (numeric) = 2.0078227103391764089661923950776
absolute error = 4e-31
relative error = 1.9922077678483326465545599140285e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1518.3MB, alloc=4.5MB, time=146.47
TOP MAIN SOLVE Loop
x[1] = 2.366
y[1] (analytic) = 2.008532562762119595740703416041
y[1] (numeric) = 2.0085325627621195957407034160399
absolute error = 1.1e-30
relative error = 5.4766351334990948710535948643551e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.367
y[1] (analytic) = 2.009242507984587973189471148549
y[1] (numeric) = 2.0092425079845879731894711485488
absolute error = 2e-31
relative error = 9.9540000375870065533429855845310e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.368
y[1] (analytic) = 2.009952546000020338443645005311
y[1] (numeric) = 2.0099525460000203384436450053108
absolute error = 2e-31
relative error = 9.9504836767423849531264008407885e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.369
y[1] (analytic) = 2.010662676801858273049404719157
y[1] (numeric) = 2.0106626768018582730494047191565
absolute error = 5e-31
relative error = 2.4867423350956881668704767811015e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.37
y[1] (analytic) = 2.01137290038354614133705944092
y[1] (numeric) = 2.0113729003835461413370594409185
absolute error = 1.5e-30
relative error = 7.4575927701619471304108915772729e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1522.1MB, alloc=4.5MB, time=146.83
x[1] = 2.371
y[1] (analytic) = 2.012083216738531088791469046371
y[1] (numeric) = 2.0120832167385310887914690463712
absolute error = 2e-31
relative error = 9.9399467346180777025840981155599e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.372
y[1] (analytic) = 2.012793625860263040423786281602
y[1] (numeric) = 2.0127936258602630404237862816029
absolute error = 9e-31
relative error = 4.4713973078851649070460342040727e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.373
y[1] (analytic) = 2.013504127742194699144518377923
y[1] (numeric) = 2.0135041277421946991445183779219
absolute error = 1.1e-30
relative error = 5.4631127140199334206904172126338e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.374
y[1] (analytic) = 2.014214722377781544137906769129
y[1] (numeric) = 2.0142147223777815441379067691286
absolute error = 4e-31
relative error = 1.9858855938050129463263442019939e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.375
y[1] (analytic) = 2.014925409760481829237623545711
y[1] (numeric) = 2.014925409760481829237623545711
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.376
y[1] (analytic) = 2.015636189883756581303783282247
y[1] (numeric) = 2.015636189883756581303783282246
absolute error = 1.0e-30
relative error = 4.9612127675563854273623024296385e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1525.9MB, alloc=4.5MB, time=147.19
x[1] = 2.377
y[1] (analytic) = 2.016347062741069598601268876011
y[1] (numeric) = 2.016347062741069598601268876011
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.378
y[1] (analytic) = 2.017058028325887449179370036529
y[1] (numeric) = 2.0170580283258874491793700365278
absolute error = 1.2e-30
relative error = 5.9492586883877250860792387677048e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.379
y[1] (analytic) = 2.01776908663167946925273306748
y[1] (numeric) = 2.0177690866316794692527330674792
absolute error = 8e-31
relative error = 3.9647747866702786658956179490910e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.38
y[1] (analytic) = 2.018480237651917761583620584151
y[1] (numeric) = 2.0184802376519177615836205841505
absolute error = 5e-31
relative error = 2.4771111981836695151582907563653e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.381
y[1] (analytic) = 2.019191481380077193865479811262
y[1] (numeric) = 2.0191914813800771938654798112617
absolute error = 3e-31
relative error = 1.4857431935823935343645932866690e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.382
y[1] (analytic) = 2.019902817809635397107818107763
y[1] (numeric) = 2.0199028178096353971078181077636
absolute error = 6e-31
relative error = 2.9704399375541970351999292553583e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1529.7MB, alloc=4.5MB, time=147.56
x[1] = 2.383
y[1] (analytic) = 2.020614246934072764022384366878
y[1] (numeric) = 2.0206142469340727640223843668771
absolute error = 9e-31
relative error = 4.4540911327611983907660494922399e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.384
y[1] (analytic) = 2.02132576874687244741065494136
y[1] (numeric) = 2.0213257687468724474106549413602
absolute error = 2e-31
relative error = 9.8944961318130653040472779650425e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.385
y[1] (analytic) = 2.022037383241520358552622745687
y[1] (numeric) = 2.0220373832415203585526227456867
absolute error = 3e-31
relative error = 1.4836520950916899116627781531358e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.386
y[1] (analytic) = 2.022749090411505165596888188521
y[1] (numeric) = 2.0227490904115051655968881885207
absolute error = 3e-31
relative error = 1.4831300699730802078640427235082e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.387
y[1] (analytic) = 2.023460890250318291952050590566
y[1] (numeric) = 2.0234608902503182919520505905661
absolute error = 1e-31
relative error = 4.9420278139217803408296037975650e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1533.5MB, alloc=4.5MB, time=147.92
x[1] = 2.388
y[1] (analytic) = 2.024172782751453914679398744566
y[1] (numeric) = 2.0241727827514539146793987445646
absolute error = 1.4e-30
relative error = 6.9164056148259382756725927373928e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.389
y[1] (analytic) = 2.024884767908408962886899275908
y[1] (numeric) = 2.0248847679084089628868992759069
absolute error = 1.1e-30
relative error = 5.4324078951724130274756641704788e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.39
y[1] (analytic) = 2.02559684571468311612448146401
y[1] (numeric) = 2.0255968457146831161244814640094
absolute error = 6e-31
relative error = 2.9620899206540007941541203697497e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.391
y[1] (analytic) = 2.026309016163778802780617186298
y[1] (numeric) = 2.0263090161637788027806171862962
absolute error = 1.8e-30
relative error = 8.8831465765659549771086295821879e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.392
y[1] (analytic) = 2.027021279249201198480194648309
y[1] (numeric) = 2.0270212792492011984801946483089
absolute error = 1e-31
relative error = 4.9333473221869438178660356521424e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.393
y[1] (analytic) = 2.027733634964458224483684565149
y[1] (numeric) = 2.0277336349644582244836845651479
absolute error = 1.1e-30
relative error = 5.4247756265052072076240070345679e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1537.3MB, alloc=4.5MB, time=148.29
x[1] = 2.394
y[1] (analytic) = 2.028446083303060546087597461128
y[1] (numeric) = 2.0284460833030605460875974611277
absolute error = 3e-31
relative error = 1.4789646245439712647474226808370e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.395
y[1] (analytic) = 2.029158624258521571026230756205
y[1] (numeric) = 2.0291586242585215710262307562052
absolute error = 2e-31
relative error = 9.8563018981861190112518794443169e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.396
y[1] (analytic) = 2.029871257824357447874704309412
y[1] (numeric) = 2.0298712578243574478747043094121
absolute error = 1e-31
relative error = 4.9264208069619798140803867664069e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.397
y[1] (analytic) = 2.030583983994087064453283091196
y[1] (numeric) = 2.0305839839940870644532830911961
absolute error = 1e-31
relative error = 4.9246916546294986360639387731670e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.398
y[1] (analytic) = 2.031296802761232046232985658241
y[1] (numeric) = 2.0312968027612320462329856582417
absolute error = 7e-31
relative error = 3.4460744439141482484291504131646e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.399
y[1] (analytic) = 2.03200971411931675474247710601
y[1] (numeric) = 2.0320097141193167547424771060093
absolute error = 7e-31
relative error = 3.4448654213416667935283976130711e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1541.1MB, alloc=4.5MB, time=148.66
x[1] = 2.4
y[1] (analytic) = 2.032722718061868285976245175895
y[1] (numeric) = 2.0327227180618682859762451758947
absolute error = 3e-31
relative error = 1.4758530385592372280219218333008e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.401
y[1] (analytic) = 2.033435814582416468804058195573
y[1] (numeric) = 2.0334358145824164688040581955717
absolute error = 1.3e-30
relative error = 6.3931204057550554131437034361195e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.402
y[1] (analytic) = 2.034149003674493863381703532741
y[1] (numeric) = 2.0341490036744938633817035327402
absolute error = 8e-31
relative error = 3.9328485698681719305763212671315e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.403
y[1] (analytic) = 2.034862285331635759563005244158
y[1] (numeric) = 2.0348622853316357595630052441574
absolute error = 6e-31
relative error = 2.9486024893434682602106465536045e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.404
y[1] (analytic) = 2.035575659547380175313119603486
y[1] (numeric) = 2.0355756595473801753131196034855
absolute error = 5e-31
relative error = 2.4563076182153669117529574491243e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1545.0MB, alloc=4.5MB, time=149.02
x[1] = 2.405
y[1] (analytic) = 2.036289126315267855123107193138
y[1] (numeric) = 2.036289126315267855123107193138
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.406
y[1] (analytic) = 2.037002685628842268425780246959
y[1] (numeric) = 2.0370026856288422684257802469585
absolute error = 5e-31
relative error = 2.4545868472708724185673326120118e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.407
y[1] (analytic) = 2.037716337481649608012823932211
y[1] (numeric) = 2.0377163374816496080128239322104
absolute error = 6e-31
relative error = 2.9444726381372658681475253475903e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.408
y[1] (analytic) = 2.038430081867238788453190261002
y[1] (numeric) = 2.0384300818672387884531902610013
absolute error = 7e-31
relative error = 3.4340152562838326607340903487334e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.409
y[1] (analytic) = 2.039143918779161444512763322907
y[1] (numeric) = 2.0391439187791614445127633229065
absolute error = 5e-31
relative error = 2.4520093721454970083383200907671e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.41
y[1] (analytic) = 2.039857848210971929575294532196
y[1] (numeric) = 2.0398578482109719295752945321964
absolute error = 4e-31
relative error = 1.9609209551087800714023436989796e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1548.8MB, alloc=4.5MB, time=149.38
x[1] = 2.411
y[1] (analytic) = 2.040571870156227314064606584709
y[1] (numeric) = 2.0405718701562273140646065847084
absolute error = 6e-31
relative error = 2.9403522060414547773052476870688e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.412
y[1] (analytic) = 2.04128598460848738386806482104
y[1] (numeric) = 2.0412859846084873838680648210392
absolute error = 8e-31
relative error = 3.9190980883231686644030281356458e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.413
y[1] (analytic) = 2.042000191561314638761314694365
y[1] (numeric) = 2.0420001915613146387613146943646
absolute error = 4e-31
relative error = 1.9588636751995588543863649147441e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.414
y[1] (analytic) = 2.042714491008274290834284042824
y[1] (numeric) = 2.0427144910082742908342840428238
absolute error = 2e-31
relative error = 9.7908934841540649254563949060998e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.415
y[1] (analytic) = 2.043428882942934262918448868034
y[1] (numeric) = 2.0434288829429342629184488680332
absolute error = 8e-31
relative error = 3.9149882174898335761150369155266e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.416
y[1] (analytic) = 2.044143367358865187015361322918
y[1] (numeric) = 2.0441433673588651870153613229179
absolute error = 1e-31
relative error = 4.8920247765793927377056890318011e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1552.6MB, alloc=4.5MB, time=149.75
x[1] = 2.417
y[1] (analytic) = 2.044857944249640402726438613673
y[1] (numeric) = 2.0448579442496404027264386136722
absolute error = 8e-31
relative error = 3.9122522043630742224973868059870e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.418
y[1] (analytic) = 2.045572613608835955684011522282
y[1] (numeric) = 2.0455726136088359556840115222816
absolute error = 4e-31
relative error = 1.9554426830847760207370222154326e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.419
y[1] (analytic) = 2.046287375430030595983631257655
y[1] (numeric) = 2.0462873754300305959836312576539
absolute error = 1.1e-30
relative error = 5.3755890458388486313437965843646e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.42
y[1] (analytic) = 2.047002229706805776617633345025
y[1] (numeric) = 2.0470022297068057766176333450245
absolute error = 5e-31
relative error = 2.4425962646441059885161914992145e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.421
y[1] (analytic) = 2.047717176432745651909957264912
y[1] (numeric) = 2.0477171764327456519099572649126
absolute error = 6e-31
relative error = 2.9300921382377540634947833718635e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1556.4MB, alloc=4.5MB, time=150.11
x[1] = 2.422
y[1] (analytic) = 2.048432215601437075952220554517
y[1] (numeric) = 2.0484322156014370759522205545156
absolute error = 1.4e-30
relative error = 6.8344951291880953131228792397677e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.423
y[1] (analytic) = 2.049147347206469601041046086037
y[1] (numeric) = 2.0491473472064696010410460860374
absolute error = 4e-31
relative error = 1.9520314170930944050326513532287e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.424
y[1] (analytic) = 2.049862571241435476116641238052
y[1] (numeric) = 2.0498625712414354761166412380521
absolute error = 1e-31
relative error = 4.8783758190890871246813533668963e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.425
y[1] (analytic) = 2.050577887699929645202627677607
y[1] (numeric) = 2.0505778876999296452026276776069
absolute error = 1e-31
relative error = 4.8766740634352072543396830095869e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.426
y[1] (analytic) = 2.051293296575549745847120472371
y[1] (numeric) = 2.0512932965755497458471204723704
absolute error = 6e-31
relative error = 2.9249839650022071842894946664588e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.427
y[1] (analytic) = 2.052008797861896107565055253729
y[1] (numeric) = 2.0520087978618961075650552537298
absolute error = 8e-31
relative error = 3.8986187624222917324014444036673e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1560.2MB, alloc=4.5MB, time=150.47
x[1] = 2.428
y[1] (analytic) = 2.052724391552571750281762153339
y[1] (numeric) = 2.0527243915525717502817621533385
absolute error = 5e-31
relative error = 2.4357872983709544420886052016030e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.429
y[1] (analytic) = 2.053440077641182382777785237207
y[1] (numeric) = 2.0534400776411823827777852372069
absolute error = 1e-31
relative error = 4.8698767053807340540232139015905e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.43
y[1] (analytic) = 2.054155856121336401134946163024
y[1] (numeric) = 2.0541558561213364011349461630232
absolute error = 8e-31
relative error = 3.8945438225440329336481324103698e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.431
y[1] (analytic) = 2.05487172698664488718365078798
y[1] (numeric) = 2.0548717269866448871836507879793
absolute error = 7e-31
relative error = 3.4065386700634159381044192672266e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.432
y[1] (analytic) = 2.055587690230721606951437455963
y[1] (numeric) = 2.0555876902307216069514374559633
absolute error = 3e-31
relative error = 1.4594366439620371691665782906239e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.433
y[1] (analytic) = 2.056303745847183009112765694565
y[1] (numeric) = 2.0563037458471830091127656945653
absolute error = 3e-31
relative error = 1.4589284321728551930209274853413e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1564.0MB, alloc=4.5MB, time=150.84
x[1] = 2.434
y[1] (analytic) = 2.057019893829648223440044053925
y[1] (numeric) = 2.0570198938296482234400440539251
absolute error = 1e-31
relative error = 4.8614016957232929976894260180179e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.435
y[1] (analytic) = 2.057736134171739059255895821031
y[1] (numeric) = 2.0577361341717390592558958210308
absolute error = 2e-31
relative error = 9.7194191557753906350333843397291e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.436
y[1] (analytic) = 2.058452466867080003886661344654
y[1] (numeric) = 2.0584524668670800038866613446538
absolute error = 2e-31
relative error = 9.7160368392861488304237680976542e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.437
y[1] (analytic) = 2.059168891909298221117135707683
y[1] (numeric) = 2.0591688919092982211171357076819
absolute error = 1.1e-30
relative error = 5.3419610422536071262946031084577e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.438
y[1] (analytic) = 2.059885409292023549646540485186
y[1] (numeric) = 2.0598854092920235496465404851854
absolute error = 6e-31
relative error = 2.9127833873352120316314631195905e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.439
y[1] (analytic) = 2.06060201900888850154572832812
y[1] (numeric) = 2.0606020190088885015457283281198
absolute error = 2e-31
relative error = 9.7059013897402810806886852727836e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=1567.8MB, alloc=4.5MB, time=151.20
TOP MAIN SOLVE Loop
x[1] = 2.44
y[1] (analytic) = 2.061318721053528260715619114141
y[1] (numeric) = 2.0613187210535282607156191141397
absolute error = 1.3e-30
relative error = 6.3066423776308469293575120109050e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.441
y[1] (analytic) = 2.062035515419580681346866408563
y[1] (numeric) = 2.0620355154195806813468664085625
absolute error = 5e-31
relative error = 2.4247884978754139401616412450816e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.442
y[1] (analytic) = 2.062752402100686286380752980085
y[1] (numeric) = 2.0627524021006862863807529800849
absolute error = 1e-31
relative error = 4.8478915791425576049915134915571e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.443
y[1] (analytic) = 2.063469381090488265971314117417
y[1] (numeric) = 2.0634693810904882659713141174168
absolute error = 2e-31
relative error = 9.6924142336585270818324570549581e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.444
y[1] (analytic) = 2.064186452382632475948687494557
y[1] (numeric) = 2.0641864523826324759486874945558
absolute error = 1.2e-30
relative error = 5.8134283296689293087505134401165e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1571.7MB, alloc=4.5MB, time=151.56
x[1] = 2.445
y[1] (analytic) = 2.064903615970767436283688333984
y[1] (numeric) = 2.0649036159707674362836883339832
absolute error = 8e-31
relative error = 3.8742728416594796295316219721449e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.446
y[1] (analytic) = 2.065620871848544329553608618616
y[1] (numeric) = 2.0656208718485443295536086186156
absolute error = 4e-31
relative error = 1.9364637792512044388277482548645e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.447
y[1] (analytic) = 2.066338220009616999409239104901
y[1] (numeric) = 2.0663382200096169994092391048999
absolute error = 1.1e-30
relative error = 5.3234266750139309763196769081326e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.448
y[1] (analytic) = 2.067055660447641949043112890989
y[1] (numeric) = 2.0670556604476419490431128909889
absolute error = 1e-31
relative error = 4.8377990933414914355898913463549e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.449
y[1] (analytic) = 2.067773193156278339658969295482
y[1] (numeric) = 2.0677731931562783396589692954816
absolute error = 4e-31
relative error = 1.9344481364004643313348864320440e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.45
y[1] (analytic) = 2.068490818129187988942436803759
y[1] (numeric) = 2.0684908181291879889424368037597
absolute error = 7e-31
relative error = 3.3841097763880978772746875818421e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1575.5MB, alloc=4.5MB, time=151.93
x[1] = 2.451
y[1] (analytic) = 2.069208535360035369532933840493
y[1] (numeric) = 2.0692085353600353695329338404928
absolute error = 2e-31
relative error = 9.6655313653633594949091200680854e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.452
y[1] (analytic) = 2.069926344842487607496786128428
y[1] (numeric) = 2.0699263448424876074967861284274
absolute error = 6e-31
relative error = 2.8986538651241592392672283866130e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.453
y[1] (analytic) = 2.070644246570214480801559395113
y[1] (numeric) = 2.0706442465702144808015593951125
absolute error = 5e-31
relative error = 2.4147074072631880143257315552062e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.454
y[1] (analytic) = 2.071362240536888417791606190752
y[1] (numeric) = 2.0713622405368884177916061907514
absolute error = 6e-31
relative error = 2.8966444799364620686829373295127e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.455
y[1] (analytic) = 2.072080326736184495664825581905
y[1] (numeric) = 2.0720803267361844956648255819038
absolute error = 1.2e-30
relative error = 5.7912812766779527417199627127100e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.456
y[1] (analytic) = 2.072798505161780438950634487294
y[1] (numeric) = 2.0727985051617804389506344872933
absolute error = 7e-31
relative error = 3.3770769240561831710005658074009e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1579.3MB, alloc=4.5MB, time=152.29
x[1] = 2.457
y[1] (analytic) = 2.073516775807356617989149423506
y[1] (numeric) = 2.0735167758073566179891494235058
absolute error = 2e-31
relative error = 9.6454488496784324485324161755932e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.458
y[1] (analytic) = 2.074235138666596047411577429892
y[1] (numeric) = 2.074235138666596047411577429892
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.459
y[1] (analytic) = 2.074953593733184384621814943511
y[1] (numeric) = 2.0749535937331843846218149435111
absolute error = 1e-31
relative error = 4.8193848914029675140503457146155e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.46
y[1] (analytic) = 2.075672141000809928279253396478
y[1] (numeric) = 2.0756721410008099282792533964777
absolute error = 3e-31
relative error = 1.4453149612315528970335930037040e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.461
y[1] (analytic) = 2.076390780463163616782790309594
y[1] (numeric) = 2.0763907804631636167827903095928
absolute error = 1.2e-30
relative error = 5.7792589491864616749889875018175e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1583.1MB, alloc=4.5MB, time=152.66
x[1] = 2.462
y[1] (analytic) = 2.07710951211393902675604465766
y[1] (numeric) = 2.0771095121139390267560446576598
absolute error = 2e-31
relative error = 9.6287653026273887924674158986517e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.463
y[1] (analytic) = 2.077828335946832371533775283401
y[1] (numeric) = 2.0778283359468323715337752834013
absolute error = 3e-31
relative error = 1.4438151353022862167222191176229e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.464
y[1] (analytic) = 2.078547251955542499649501138409
y[1] (numeric) = 2.0785472519555424996495011384082
absolute error = 8e-31
relative error = 3.8488420181323402001592472145769e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.465
y[1] (analytic) = 2.079266260133770893324322131064
y[1] (numeric) = 2.079266260133770893324322131063
absolute error = 1.0e-30
relative error = 4.8093888655494480803585983012309e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.466
y[1] (analytic) = 2.079985360475221666956939362889
y[1] (numeric) = 2.07998536047522166695693936289
absolute error = 1.0e-30
relative error = 4.8077261455894402866472700751446e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.467
y[1] (analytic) = 2.080704552973601565614873536292
y[1] (numeric) = 2.0807045529736015656148735362916
absolute error = 4e-31
relative error = 1.9224257448196918661161311480398e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1586.9MB, alloc=4.5MB, time=153.02
x[1] = 2.468
y[1] (analytic) = 2.081423837622619963526880318136
y[1] (numeric) = 2.0814238376226199635268803181361
absolute error = 1e-31
relative error = 4.8044035141933864857647914403973e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.469
y[1] (analytic) = 2.082143214415988862576561445165
y[1] (numeric) = 2.082143214415988862576561445165
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.47
y[1] (analytic) = 2.082862683347422890797170358689
y[1] (numeric) = 2.0828626833474228907971703586883
absolute error = 7e-31
relative error = 3.3607592358177532873005565264788e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.471
y[1] (analytic) = 2.083582244410639300867611157538
y[1] (numeric) = 2.0835822444106393008676111575362
absolute error = 1.8e-30
relative error = 8.6389678392999879520244536938872e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.472
y[1] (analytic) = 2.084301897599357968609629659731
y[1] (numeric) = 2.0843018975993579686096296597302
absolute error = 8e-31
relative error = 3.8382155719448231695935087103431e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.473
y[1] (analytic) = 2.085021642907301391486195364834
y[1] (numeric) = 2.0850216429073013914861953648336
absolute error = 4e-31
relative error = 1.9184453137965998615290028895100e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1590.7MB, alloc=4.5MB, time=153.38
x[1] = 2.474
y[1] (analytic) = 2.08574148032819468710107311043
y[1] (numeric) = 2.0857414803281946871010731104303
absolute error = 3e-31
relative error = 1.4383374106017900663229739246525e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.475
y[1] (analytic) = 2.086461409855765591699583217674
y[1] (numeric) = 2.0864614098557655916995832176738
absolute error = 2e-31
relative error = 9.5856074334883454261295291434343e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.476
y[1] (analytic) = 2.087181431483744458670548922334
y[1] (numeric) = 2.0871814314837444586705489223341
absolute error = 1e-31
relative error = 4.7911503279765943731145332468833e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.477
y[1] (analytic) = 2.087901545205864257049429889258
y[1] (numeric) = 2.0879015452058642570494298892567
absolute error = 1.3e-30
relative error = 6.2263472288001097549890882186062e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.478
y[1] (analytic) = 2.088621751015860570022640609631
y[1] (numeric) = 2.0886217510158605700226406096313
absolute error = 3e-31
relative error = 1.4363539011028994154979785320883e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1594.5MB, alloc=4.5MB, time=153.75
x[1] = 2.479
y[1] (analytic) = 2.089342048907471593433052481948
y[1] (numeric) = 2.0893420489074715934330524819486
absolute error = 6e-31
relative error = 2.8717174400129614386729422571545e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.48
y[1] (analytic) = 2.090062438874438134286678379004
y[1] (numeric) = 2.0900624388744381342866783790037
absolute error = 3e-31
relative error = 1.4353638169850996297618474312836e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.481
y[1] (analytic) = 2.090782920910503609260538504781
y[1] (numeric) = 2.0907829209105036092605385047805
absolute error = 5e-31
relative error = 2.3914486530349967513845876444403e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.482
y[1] (analytic) = 2.091503495009414043211706346527
y[1] (numeric) = 2.0915034950094140432117063465273
absolute error = 3e-31
relative error = 1.4343748442966368235660093402575e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.483
y[1] (analytic) = 2.092224161164918067687533528807
y[1] (numeric) = 2.092224161164918067687533528806
absolute error = 1.0e-30
relative error = 4.7796025806489848570700167835845e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.484
y[1] (analytic) = 2.092944919370766919437052377769
y[1] (numeric) = 2.0929449193707669194370523777677
absolute error = 1.3e-30
relative error = 6.2113435856249780614473646888540e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1598.4MB, alloc=4.5MB, time=154.12
x[1] = 2.485
y[1] (analytic) = 2.093665769620714438923555005377
y[1] (numeric) = 2.0936657696207144389235550053766
absolute error = 4e-31
relative error = 1.9105246205198427648956742121537e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.486
y[1] (analytic) = 2.094386711908517068838347724771
y[1] (numeric) = 2.0943867119085170688383477247697
absolute error = 1.3e-30
relative error = 6.2070676470983266734339437391040e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.487
y[1] (analytic) = 2.095107746227933852615679609405
y[1] (numeric) = 2.0951077462279338526156796094043
absolute error = 7e-31
relative error = 3.3411169485688333385948745149247e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.488
y[1] (analytic) = 2.095828872572726432948844010109
y[1] (numeric) = 2.0958288725727264329488440101074
absolute error = 1.6e-30
relative error = 7.6342110796284924545050499600996e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.489
y[1] (analytic) = 2.096550090936659050307451845601
y[1] (numeric) = 2.0965500909366590503074518456009
absolute error = 1e-31
relative error = 4.7697405577046715535460479384918e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.49
y[1] (analytic) = 2.097271401313498541455875483534
y[1] (numeric) = 2.0972714013134985414558754835336
absolute error = 4e-31
relative error = 1.9072400441329829719821131776217e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1602.2MB, alloc=4.5MB, time=154.48
x[1] = 2.491
y[1] (analytic) = 2.097992803697014337972862030509
y[1] (numeric) = 2.0979928036970143379728620305086
absolute error = 4e-31
relative error = 1.9065842327730251290114710704209e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.492
y[1] (analytic) = 2.098714298080978464772314851045
y[1] (numeric) = 2.0987142980809784647723148510457
absolute error = 7e-31
relative error = 3.3353753802509742192016553523512e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.493
y[1] (analytic) = 2.099435884459165538625242136872
y[1] (numeric) = 2.099435884459165538625242136872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.494
y[1] (analytic) = 2.100157562825352766682871349382
y[1] (numeric) = 2.100157562825352766682871349382
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.495
y[1] (analytic) = 2.100879333173319945000928359556
y[1] (numeric) = 2.1008793331733199450009283595563
absolute error = 3e-31
relative error = 1.4279734931128020729170101237262e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1606.0MB, alloc=4.5MB, time=154.85
x[1] = 2.496
y[1] (analytic) = 2.101601195496849457065080111073
y[1] (numeric) = 2.1016011954968494570650801110725
absolute error = 5e-31
relative error = 2.3791383497086022558454865519322e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.497
y[1] (analytic) = 2.102323149789726272317539633787
y[1] (numeric) = 2.1023231497897262723175396337861
absolute error = 9e-31
relative error = 4.2809784028207924585186789347229e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.498
y[1] (analytic) = 2.1030451960457379446848322362
y[1] (numeric) = 2.103045196045737944684832236199
absolute error = 1.0e-30
relative error = 4.7550095541467933511955703931551e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.499
y[1] (analytic) = 2.103767334258674611106721706973
y[1] (numeric) = 2.1037673342586746111067217069722
absolute error = 8e-31
relative error = 3.8027018813936663062930201360680e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.5
y[1] (analytic) = 2.104489564422328990066295356978
y[1] (numeric) = 2.1044895644223289900662953569774
absolute error = 6e-31
relative error = 2.8510476371247616843882822281257e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.501
y[1] (analytic) = 2.105211886530496380121206734814
y[1] (numeric) = 2.1052118865304963801212067348144
absolute error = 4e-31
relative error = 1.9000462735331679244698441728854e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1609.8MB, alloc=4.5MB, time=155.20
x[1] = 2.502
y[1] (analytic) = 2.105934300576974658436074850157
y[1] (numeric) = 2.1059343005769746584360748501568
absolute error = 2e-31
relative error = 9.4969724338126253861880410992413e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.503
y[1] (analytic) = 2.106656806555564279316038740716
y[1] (numeric) = 2.1066568065555642793160387407164
absolute error = 4e-31
relative error = 1.8987430641539085972777127601025e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.504
y[1] (analytic) = 2.107379404460068272741466220046
y[1] (numeric) = 2.1073794044600682727414662200464
absolute error = 4e-31
relative error = 1.8980920054235986495198655916696e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.505
y[1] (analytic) = 2.108102094284292242903815644831
y[1] (numeric) = 2.108102094284292242903815644831
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.506
y[1] (analytic) = 2.108824876022044366742649541729
y[1] (numeric) = 2.10882487602204436674264954173
absolute error = 1.0e-30
relative error = 4.7419774461610941799661567382116e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.507
y[1] (analytic) = 2.109547749667135392483798935273
y[1] (numeric) = 2.1095477496671353924837989352735
absolute error = 5e-31
relative error = 2.3701762620869557426343115642575e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1613.6MB, alloc=4.5MB, time=155.57
x[1] = 2.508
y[1] (analytic) = 2.110270715213378638178677219718
y[1] (numeric) = 2.1102707152133786381786772197183
absolute error = 3e-31
relative error = 1.4216185527157149452325024058779e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.509
y[1] (analytic) = 2.110993772654589990244742419198
y[1] (numeric) = 2.1109937726545899902447424191985
absolute error = 5e-31
relative error = 2.3685527000453742272732485196626e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.51
y[1] (analytic) = 2.111716921984587902007106681917
y[1] (numeric) = 2.1117169219845879020071066819171
absolute error = 1e-31
relative error = 4.7354831965839518574779179415286e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.511
y[1] (analytic) = 2.11244016319719339224129185554
y[1] (numeric) = 2.1124401631971933922412918555403
absolute error = 3e-31
relative error = 1.4201585693482926428291309892089e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.512
y[1] (analytic) = 2.113163496286230043717129992369
y[1] (numeric) = 2.1131634962862300437171299923683
absolute error = 7e-31
relative error = 3.3125690521827200896232631901269e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1617.4MB, alloc=4.5MB, time=155.93
x[1] = 2.513
y[1] (analytic) = 2.113886921245524001743807634266
y[1] (numeric) = 2.1138869212455240017438076342657
absolute error = 3e-31
relative error = 1.4191866035257784850456285734129e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.514
y[1] (analytic) = 2.114610438068903972716052728743
y[1] (numeric) = 2.1146104380689039727160527287435
absolute error = 5e-31
relative error = 2.3645017115143344613447691295419e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.515
y[1] (analytic) = 2.11533404675020122266146302899
y[1] (numeric) = 2.1153340467502012226614630289895
absolute error = 5e-31
relative error = 2.3636928681224254830238647389885e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.516
y[1] (analytic) = 2.116057747283249575788974832049
y[1] (numeric) = 2.1160577472832495757889748320489
absolute error = 1e-31
relative error = 4.7257689507002986102521670464090e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.517
y[1] (analytic) = 2.116781539661885413038470910758
y[1] (numeric) = 2.116781539661885413038470910758
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.518
y[1] (analytic) = 2.117505423879947670631526496433
y[1] (numeric) = 2.1175054238799476706315264964336
absolute error = 6e-31
relative error = 2.8335228483174695368616463296688e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1621.3MB, alloc=4.5MB, time=156.30
x[1] = 2.519
y[1] (analytic) = 2.118229399931277838623292170719
y[1] (numeric) = 2.1182293999312778386232921707196
absolute error = 6e-31
relative error = 2.8325543967025758684864338612480e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.52
y[1] (analytic) = 2.118953467809719959455512526386
y[1] (numeric) = 2.1189534678097199594555125263866
absolute error = 6e-31
relative error = 2.8315864841534096354257145596939e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.521
y[1] (analytic) = 2.119677627509120626510679458274
y[1] (numeric) = 2.1196776275091206265106794582751
absolute error = 1.1e-30
relative error = 5.1894683687945226459768539462926e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.522
y[1] (analytic) = 2.120401879023328982667318946965
y[1] (numeric) = 2.1204018790233289826673189469647
absolute error = 3e-31
relative error = 1.4148261372895121574101864649481e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.523
y[1] (analytic) = 2.121126222346196718856410199139
y[1] (numeric) = 2.1211262223461967188564101991402
absolute error = 1.2e-30
relative error = 5.6573719534364590927064678941666e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.524
y[1] (analytic) = 2.121850657471578072618936010016
y[1] (numeric) = 2.1218506574715780726189360100154
absolute error = 6e-31
relative error = 2.8277202162520098371439136900510e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1625.1MB, alloc=4.5MB, time=156.66
x[1] = 2.525
y[1] (analytic) = 2.122575184393329826664563214559
y[1] (numeric) = 2.1225751843933298266645632145588
absolute error = 2e-31
relative error = 9.4225166425453898844054607822358e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.526
y[1] (analytic) = 2.123299803105311307431452095652
y[1] (numeric) = 2.1232998031053113074314520956512
absolute error = 8e-31
relative error = 3.7677204077822901949472291183311e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.527
y[1] (analytic) = 2.124024513601384383647193618686
y[1] (numeric) = 2.1240245136013843836471936186854
absolute error = 6e-31
relative error = 2.8248261550553930277694213558840e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.528
y[1] (analytic) = 2.124749315875413464890873363499
y[1] (numeric) = 2.124749315875413464890873363499
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.529
y[1] (analytic) = 2.125474209921265500156261025909
y[1] (numeric) = 2.1254742099212655001562610259086
absolute error = 4e-31
relative error = 1.8819329735119077504162708818011e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.53
y[1] (analytic) = 2.12619919573280997641612436249
y[1] (numeric) = 2.1261991957328099764161243624895
absolute error = 5e-31
relative error = 2.3516140961932373084304587746050e-29 %
Correct digits = 30
h = 0.001
memory used=1628.9MB, alloc=4.5MB, time=157.02
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.531
y[1] (analytic) = 2.126924273303918917187666453619
y[1] (numeric) = 2.1269242733039189171876664536194
absolute error = 4e-31
relative error = 1.8806499367212943117428096594079e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.532
y[1] (analytic) = 2.127649442628466881099085161176
y[1] (numeric) = 2.1276494426284668810990851611751
absolute error = 9e-31
relative error = 4.2300201432062662292714535891890e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.533
y[1] (analytic) = 2.128374703700330960457253658643
y[1] (numeric) = 2.128374703700330960457253658643
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.534
y[1] (analytic) = 2.12910005651339077981652091277
y[1] (numeric) = 2.1291000565133907798165209127702
absolute error = 2e-31
relative error = 9.3936402560394238717901085845710e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.535
y[1] (analytic) = 2.12982550106152849454863099725
y[1] (numeric) = 2.1298255010615284945486309972502
absolute error = 2e-31
relative error = 9.3904406675719581979857494190929e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1632.7MB, alloc=4.5MB, time=157.39
x[1] = 2.536
y[1] (analytic) = 2.130551037338628789413760120301
y[1] (numeric) = 2.1305510373386287894137601203008
absolute error = 2e-31
relative error = 9.3872428538407312119559154490797e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.537
y[1] (analytic) = 2.131276665338578877132670249354
y[1] (numeric) = 2.1312766653385788771326702493537
absolute error = 3e-31
relative error = 1.4076070220209603782435638829034e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.538
y[1] (analytic) = 2.132002385055268496959978217434
y[1] (numeric) = 2.132002385055268496959978217435
absolute error = 1.0e-30
relative error = 4.6904262725488307508692739974181e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.539
y[1] (analytic) = 2.132728196482589913258539197176
y[1] (numeric) = 2.132728196482589913258539197175
absolute error = 1.0e-30
relative error = 4.6888300236722794870349997247493e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.54
y[1] (analytic) = 2.133454099614437914074943429741
y[1] (numeric) = 2.1334540996144379140749434297407
absolute error = 3e-31
relative error = 1.4061703978267758334956249232658e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.541
y[1] (analytic) = 2.134180094444709809716125097338
y[1] (numeric) = 2.134180094444709809716125097339
absolute error = 1.0e-30
relative error = 4.6856401791161350076518112639507e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1636.5MB, alloc=4.5MB, time=157.75
x[1] = 2.542
y[1] (analytic) = 2.134906180967305431327082229292
y[1] (numeric) = 2.1349061809673054313270822292914
absolute error = 6e-31
relative error = 2.8104279492419932853184145651512e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.543
y[1] (analytic) = 2.135632359176127129469706533031
y[1] (numeric) = 2.1356323591761271294697065330304
absolute error = 6e-31
relative error = 2.8094723205611325469033935686812e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.544
y[1] (analytic) = 2.136358629065079772702722042715
y[1] (numeric) = 2.1363586290650797727027220427162
absolute error = 1.2e-30
relative error = 5.6170344420362975842146944235676e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.545
y[1] (analytic) = 2.13708499062807074616273147952
y[1] (numeric) = 2.1370849906280707461627314795202
absolute error = 2e-31
relative error = 9.3585421673483249900876198978789e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.546
y[1] (analytic) = 2.137811443859009950146369218964
y[1] (numeric) = 2.1378114438590099501463692189643
absolute error = 3e-31
relative error = 1.4033043038560195600489426679522e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.547
y[1] (analytic) = 2.138537988751809798693559762049
y[1] (numeric) = 2.138537988751809798693559762049
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
memory used=1640.3MB, alloc=4.5MB, time=158.11
TOP MAIN SOLVE Loop
x[1] = 2.548
y[1] (analytic) = 2.139264625300385218171880608242
y[1] (numeric) = 2.1392646253003852181718806082428
absolute error = 8e-31
relative error = 3.7396028080802199001531406048320e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.549
y[1] (analytic) = 2.139991353498653645862028429746
y[1] (numeric) = 2.139991353498653645862028429746
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.55
y[1] (analytic) = 2.140718173340535028544387447776
y[1] (numeric) = 2.1407181733405350285443874477762
absolute error = 2e-31
relative error = 9.3426590426849696932146305176685e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.551
y[1] (analytic) = 2.14144508481995182108669891296
y[1] (numeric) = 2.1414450848199518210866989129603
absolute error = 3e-31
relative error = 1.4009231529055220496014350466417e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.552
y[1] (analytic) = 2.142172087930828985032830593248
y[1] (numeric) = 2.1421720879308289850328305932484
absolute error = 4e-31
relative error = 1.8672636164649534540859670514332e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1644.1MB, alloc=4.5MB, time=158.47
x[1] = 2.553
y[1] (analytic) = 2.142899182667093987192645174099
y[1] (numeric) = 2.1428991826670939871926451740987
absolute error = 3e-31
relative error = 1.3999725345296653998071349238204e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.554
y[1] (analytic) = 2.143626369022676798232966477009
y[1] (numeric) = 2.1436263690226767982329664770085
absolute error = 5e-31
relative error = 2.3324960320765239000945531677890e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.555
y[1] (analytic) = 2.144353646991509891269642403797
y[1] (numeric) = 2.144353646991509891269642403797
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.556
y[1] (analytic) = 2.145081016567528240460703515368
y[1] (numeric) = 2.1450810165675282404607035153683
absolute error = 3e-31
relative error = 1.3985485754754748096477398376182e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.557
y[1] (analytic) = 2.145808477744669319600616155007
y[1] (numeric) = 2.1458084777446693196006161550077
absolute error = 7e-31
relative error = 3.2621737086980290291419237954402e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.558
y[1] (analytic) = 2.146536030516873100715629027586
y[1] (numeric) = 2.1465360305168731007156290275861
absolute error = 1e-31
relative error = 4.6586685980724299868881169488034e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1648.0MB, alloc=4.5MB, time=158.83
x[1] = 2.559
y[1] (analytic) = 2.147263674878082052660212147366
y[1] (numeric) = 2.1472636748780820526602121473665
absolute error = 5e-31
relative error = 2.3285449563076557988908583319880e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.56
y[1] (analytic) = 2.147991410822241139714587068425
y[1] (numeric) = 2.1479914108222411397145870684241
absolute error = 9e-31
relative error = 4.1899608884166076733746271043324e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.561
y[1] (analytic) = 2.148719238343297820183347313008
y[1] (numeric) = 2.1487192383432978201833473130089
absolute error = 9e-31
relative error = 4.1885416388504838181355007463211e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.562
y[1] (analytic) = 2.149447157435202044995167914491
y[1] (numeric) = 2.1494471574352020449951679144915
absolute error = 5e-31
relative error = 2.3261795400293443488237893339517e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.563
y[1] (analytic) = 2.150175168091906256303602992847
y[1] (numeric) = 2.150175168091906256303602992847
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.564
y[1] (analytic) = 2.150903270307365386088970281941
y[1] (numeric) = 2.1509032703073653860889702819408
absolute error = 2e-31
relative error = 9.2984190763455335816110450352721e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1651.8MB, alloc=4.5MB, time=159.19
x[1] = 2.565
y[1] (analytic) = 2.15163146407553685476132152919
y[1] (numeric) = 2.1516314640755368547613215291894
absolute error = 6e-31
relative error = 2.7885816415024126611097673902533e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.566
y[1] (analytic) = 2.152359749390380569764497689476
y[1] (numeric) = 2.1523597493903805697644976894752
absolute error = 8e-31
relative error = 3.7168507737918182362355336355544e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.567
y[1] (analytic) = 2.153088126245858924181267836499
y[1] (numeric) = 2.1530881262458589241812678364994
absolute error = 4e-31
relative error = 1.8577966926855106829885619303034e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.568
y[1] (analytic) = 2.153816594635936795339550716059
y[1] (numeric) = 2.1538165946359367953395507160594
absolute error = 4e-31
relative error = 1.8571683447708446406464872878936e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.569
y[1] (analytic) = 2.154545154554581543419717867039
y[1] (numeric) = 2.1545451545545815434197178670385
absolute error = 5e-31
relative error = 2.3206754286074230213263286560919e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1655.6MB, alloc=4.5MB, time=159.55
x[1] = 2.57
y[1] (analytic) = 2.155273805995763010062977237196
y[1] (numeric) = 2.1552738059957630100629772371953
absolute error = 7e-31
relative error = 3.2478472018388929911725466066413e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.571
y[1] (analytic) = 2.156002548953453516980836222135
y[1] (numeric) = 2.1560025489534535169808362221354
absolute error = 4e-31
relative error = 1.8552853761428261693842435900987e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.572
y[1] (analytic) = 2.156731383421627864565643057146
y[1] (numeric) = 2.1567313834216278645656430571463
absolute error = 3e-31
relative error = 1.3909938080654888171028742283868e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.573
y[1] (analytic) = 2.157460309394263330502205492867
y[1] (numeric) = 2.157460309394263330502205492867
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) = 2.158189326865339668380485687058
y[1] (numeric) = 2.1581893268653396683804856870584
absolute error = 4e-31
relative error = 1.8534055146171057870419058223505e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.575
y[1] (analytic) = 2.158918435828839106309370246027
y[1] (numeric) = 2.1589184358288391063093702460274
absolute error = 4e-31
relative error = 1.8527795833399995150609881342575e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1659.4MB, alloc=4.5MB, time=159.92
x[1] = 2.576
y[1] (analytic) = 2.159647636278746345531514350548
y[1] (numeric) = 2.1596476362787463455315143505482
absolute error = 2e-31
relative error = 9.2607699811908548820948022059945e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.577
y[1] (analytic) = 2.16037692820904855903925890241
y[1] (numeric) = 2.1603769282090485590392589024091
absolute error = 9e-31
relative error = 4.1659396943574081299622790544585e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.578
y[1] (analytic) = 2.161106311613735390191619628998
y[1] (numeric) = 2.1611063116137353901916196289978
absolute error = 2e-31
relative error = 9.2545192675253697902460362989015e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.579
y[1] (analytic) = 2.16183578648679895133234708462
y[1] (numeric) = 2.1618357864867989513323470846207
absolute error = 7e-31
relative error = 3.2379887703569314779417430427801e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.58
y[1] (analytic) = 2.162565352822233822409056488532
y[1] (numeric) = 2.1625653528222338224090564885324
absolute error = 4e-31
relative error = 1.8496550843098641441146860465841e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.581
y[1] (analytic) = 2.163295010614037049593426340929
y[1] (numeric) = 2.1632950106140370495934263409302
absolute error = 1.2e-30
relative error = 5.5470936423940990766700259827029e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1663.2MB, alloc=4.5MB, time=160.29
x[1] = 2.582
y[1] (analytic) = 2.164024759856208143902464759447
y[1] (numeric) = 2.1640247598562081439024647594462
absolute error = 8e-31
relative error = 3.6968153730974741454194766482140e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.583
y[1] (analytic) = 2.164754600542749079820842479944
y[1] (numeric) = 2.1647546005427490798208424799439
absolute error = 1e-31
relative error = 4.6194612532491173158985345443363e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.584
y[1] (analytic) = 2.165484532667664293924291466701
y[1] (numeric) = 2.1654845326676642939242914666998
absolute error = 1.2e-30
relative error = 5.5414849743660733510599858850527e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.585
y[1] (analytic) = 2.166214556224960683504068078323
y[1] (numeric) = 2.1662145562249606835040680783235
absolute error = 5e-31
relative error = 2.3081739459425696941325869465104e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.586
y[1] (analytic) = 2.166944671208647605192479737037
y[1] (numeric) = 2.1669446712086476051924797370364
absolute error = 6e-31
relative error = 2.7688754954012763341147544932866e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.587
y[1] (analytic) = 2.167674877612736873589474050203
y[1] (numeric) = 2.1676748776127368735894740502015
memory used=1667.0MB, alloc=4.5MB, time=160.65
absolute error = 1.5e-30
relative error = 6.9198569190041632363130897049785e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.588
y[1] (analytic) = 2.168405175431242759890289334257
y[1] (numeric) = 2.1684051754312427598902893342584
absolute error = 1.4e-30
relative error = 6.4563579531282673578074940168477e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.589
y[1] (analytic) = 2.169135564658181990514165492485
y[1] (numeric) = 2.1691355646581819905141654924856
absolute error = 6e-31
relative error = 2.7660788462271584972598248064156e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.59
y[1] (analytic) = 2.169866045287573745734114199274
y[1] (numeric) = 2.1698660452875737457341141992728
absolute error = 1.2e-30
relative error = 5.5302953037405736557749316809583e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.591
y[1] (analytic) = 2.170596617313439658307747344848
y[1] (numeric) = 2.1705966173134396583077473448472
absolute error = 8e-31
relative error = 3.6856226238395448969468424376647e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.592
y[1] (analytic) = 2.171327280729803812109162695659
y[1] (numeric) = 2.1713272807298038121091626956572
absolute error = 1.8e-30
relative error = 8.2898603815957345185009211506643e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1670.8MB, alloc=4.5MB, time=161.02
x[1] = 2.593
y[1] (analytic) = 2.172058035530692740761885726874
y[1] (numeric) = 2.1720580355306927407618857268735
absolute error = 5e-31
relative error = 2.3019642745311656785510842697703e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.594
y[1] (analytic) = 2.172788881710135426272866584724
y[1] (numeric) = 2.172788881710135426272866584723
absolute error = 1.0e-30
relative error = 4.6023799570114271711233010394324e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.595
y[1] (analytic) = 2.173519819262163297667531137627
y[1] (numeric) = 2.1735198192621632976675311376258
absolute error = 1.2e-30
relative error = 5.5209986555694695443850939821191e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.596
y[1] (analytic) = 2.174250848180810229625885076355
y[1] (numeric) = 2.1742508481808102296258850763553
absolute error = 3e-31
relative error = 1.3797855948912664973941505677150e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.597
y[1] (analytic) = 2.174981968460112541119670024693
y[1] (numeric) = 2.1749819684601125411196700246935
absolute error = 5e-31
relative error = 2.2988696331767754919502809139813e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.598
y[1] (analytic) = 2.175713180094108994050570623301
y[1] (numeric) = 2.1757131800941089940505706233012
absolute error = 2e-31
relative error = 9.1923881249526252355736969632723e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1674.7MB, alloc=4.5MB, time=161.38
x[1] = 2.599
y[1] (analytic) = 2.176444483076840791889471550769
y[1] (numeric) = 2.1764444830768407918894715507685
absolute error = 5e-31
relative error = 2.2973248520134532368606818315510e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.6
y[1] (analytic) = 2.177175877402351578316763447057
y[1] (numeric) = 2.1771758774023515783167634470573
absolute error = 3e-31
relative error = 1.3779318571081094807112834775230e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.601
y[1] (analytic) = 2.17790736306468743586369670579
y[1] (numeric) = 2.1779073630646874358636967057894
absolute error = 6e-31
relative error = 2.7549381124994112605602319524015e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.602
y[1] (analytic) = 2.178638940057896884554782103077
y[1] (numeric) = 2.1786389400578968845547821030757
absolute error = 1.3e-30
relative error = 5.9670282032389119314015143031955e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.603
y[1] (analytic) = 2.179370608376030880551237231821
y[1] (numeric) = 2.1793706083760308805512372318209
absolute error = 1e-31
relative error = 4.5884807116177229630776134633736e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.604
y[1] (analytic) = 2.180102368013142814795477711677
y[1] (numeric) = 2.180102368013142814795477711676
absolute error = 1.0e-30
relative error = 4.5869405706455866248580407056982e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1678.5MB, alloc=4.5MB, time=161.74
x[1] = 2.605
y[1] (analytic) = 2.180834218963288511656652146049
y[1] (numeric) = 2.1808342189632885116566521460477
absolute error = 1.3e-30
relative error = 5.9610216526132186377410993551734e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.606
y[1] (analytic) = 2.181566161220526227577219798807
y[1] (numeric) = 2.1815661612205262275772197988071
absolute error = 1e-31
relative error = 4.5838628127625866791990284003741e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.607
y[1] (analytic) = 2.182298194778916649720569964573
y[1] (numeric) = 2.1822981947789166497205699645723
absolute error = 7e-31
relative error = 3.2076276361989810765800314961158e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.608
y[1] (analytic) = 2.183030319632522894619682007671
y[1] (numeric) = 2.1830303196325228946196820076715
absolute error = 5e-31
relative error = 2.2903942080115806333555374459721e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.609
y[1] (analytic) = 2.183762535775410506826825046121
y[1] (numeric) = 2.1837625357754105068268250461215
absolute error = 5e-31
relative error = 2.2896262382414211342632191316022e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1682.3MB, alloc=4.5MB, time=162.10
x[1] = 2.61
y[1] (analytic) = 2.184494843201647457564296258183
y[1] (numeric) = 2.1844948432016474575642962581829
absolute error = 1e-31
relative error = 4.5777173753103316114446731421368e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.611
y[1] (analytic) = 2.185227241905304143376196790282
y[1] (numeric) = 2.1852272419053041433761967902813
absolute error = 7e-31
relative error = 3.2033281783072983976153344386221e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.612
y[1] (analytic) = 2.185959731880453384781244246305
y[1] (numeric) = 2.1859597318804533847812442463042
absolute error = 8e-31
relative error = 3.6597197484136945248047659607854e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.613
y[1] (analytic) = 2.186692313121170424926620739509
y[1] (numeric) = 2.1866923131211704249266207395084
absolute error = 6e-31
relative error = 2.7438702573732988080296787370416e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.614
y[1] (analytic) = 2.187424985621532928242855489492
y[1] (numeric) = 2.1874249856215329282428554894914
absolute error = 6e-31
relative error = 2.7429512049279100218259083740367e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.615
y[1] (analytic) = 2.1881577493756209790997409479
y[1] (numeric) = 2.1881577493756209790997409478991
absolute error = 9e-31
relative error = 4.1130489803891431023609618480285e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1686.1MB, alloc=4.5MB, time=162.47
x[1] = 2.616
y[1] (analytic) = 2.188890604377517080463281437761
y[1] (numeric) = 2.1888906043775170804632814377597
absolute error = 1.3e-30
relative error = 5.9390816398049170111508092887950e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.617
y[1] (analytic) = 2.189623550621306152553673292548
y[1] (numeric) = 2.1896235506213061525536732925476
absolute error = 4e-31
relative error = 1.8267980351531198782029929641264e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.618
y[1] (analytic) = 2.190356588101075531504315482297
y[1] (numeric) = 2.1903565881010755315043154822965
absolute error = 5e-31
relative error = 2.2827333353674335673261242562090e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.619
y[1] (analytic) = 2.19108971681091496802184971529
y[1] (numeric) = 2.1910897168109149680218497152899
absolute error = 1e-31
relative error = 4.5639390862345836877783112002415e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.62
y[1] (analytic) = 2.191822936744916626047229005072
y[1] (numeric) = 2.1918229367449166260472290050703
absolute error = 1.7e-30
relative error = 7.7561009673741051846087774282626e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.621
y[1] (analytic) = 2.192556247897175081417813693715
y[1] (numeric) = 2.1925562478971750814178136937141
absolute error = 9e-31
relative error = 4.1047977713829102625780333216424e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1689.9MB, alloc=4.5MB, time=162.83
x[1] = 2.622
y[1] (analytic) = 2.193289650261787320530493923528
y[1] (numeric) = 2.1932896502617873205304939235277
absolute error = 3e-31
relative error = 1.3678083966893862399029579430225e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.623
y[1] (analytic) = 2.194023143832852739005837550524
y[1] (numeric) = 2.1940231438328527390058375505238
absolute error = 2e-31
relative error = 9.1156741241393486239201006790074e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.624
y[1] (analytic) = 2.194756728604473140353262494242
y[1] (numeric) = 2.1947567286044731403532624942412
absolute error = 8e-31
relative error = 3.6450509050662605521658962658441e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.625
y[1] (analytic) = 2.195490404570752734637232519672
y[1] (numeric) = 2.1954904045707527346372325196725
absolute error = 5e-31
relative error = 2.2773955147290046101781335171355e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.626
y[1] (analytic) = 2.196224171725798137144475448263
y[1] (numeric) = 2.1962241717257981371444754482634
absolute error = 4e-31
relative error = 1.8213077023265755973161478419772e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1693.7MB, alloc=4.5MB, time=163.19
x[1] = 2.627
y[1] (analytic) = 2.196958030063718367052222796146
y[1] (numeric) = 2.1969580300637183670522227961463
absolute error = 3e-31
relative error = 1.3655244929339824526099081155802e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.628
y[1] (analytic) = 2.197691979578624846097469838969
y[1] (numeric) = 2.1976919795786248460974698389672
absolute error = 1.8e-30
relative error = 8.1904107432977189039394013508467e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.629
y[1] (analytic) = 2.198426020264631397247255103859
y[1] (numeric) = 2.1984260202646313972472551038588
absolute error = 2e-31
relative error = 9.0974177960250568801472997343787e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.63
y[1] (analytic) = 2.199160152115854243369958290307
y[1] (numeric) = 2.1991601521158542433699582903071
absolute error = 1e-31
relative error = 4.5471904310283213485372843919377e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.631
y[1] (analytic) = 2.19989437512641200590761562285
y[1] (numeric) = 2.1998943751264120059076156228487
absolute error = 1.3e-30
relative error = 5.9093746258853832924966059182160e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.632
y[1] (analytic) = 2.200628689290425703549251639728
y[1] (numeric) = 2.2006286892904257035492516397272
absolute error = 8e-31
relative error = 3.6353247773841997039865761765297e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1697.5MB, alloc=4.5MB, time=163.55
x[1] = 2.633
y[1] (analytic) = 2.201363094602018750905226422826
y[1] (numeric) = 2.2013630946020187509052264228245
absolute error = 1.5e-30
relative error = 6.8139599672501224969649935044277e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.634
y[1] (analytic) = 2.202097591055316957182597275368
y[1] (numeric) = 2.2020975910553169571825972753681
absolute error = 1e-31
relative error = 4.5411248078281916586704706320230e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.635
y[1] (analytic) = 2.202832178644448524861493855102
y[1] (numeric) = 2.2028321786444485248614938551026
absolute error = 6e-31
relative error = 2.7237662760547675463132900549358e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.636
y[1] (analytic) = 2.203566857363544048372505771796
y[1] (numeric) = 2.2035668573635440483725057717942
absolute error = 1.8e-30
relative error = 8.1685744817999698946525294723127e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.637
y[1] (analytic) = 2.204301627206736512775081659119
y[1] (numeric) = 2.20430162720673651277508165912
absolute error = 1.0e-30
relative error = 4.5365842299322144429889243818770e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.638
y[1] (analytic) = 2.205036488168161292436938732172
y[1] (numeric) = 2.2050364881681612924369387321729
absolute error = 9e-31
relative error = 4.0815651116398391025904540644857e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1701.4MB, alloc=4.5MB, time=163.92
x[1] = 2.639
y[1] (analytic) = 2.205771440241956149714481842991
y[1] (numeric) = 2.2057714402419561497144818429906
absolute error = 4e-31
relative error = 1.8134245130861023329850656176128e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.64
y[1] (analytic) = 2.206506483422261233634231047695
y[1] (numeric) = 2.206506483422261233634231047695
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.641
y[1] (analytic) = 2.207241617703219078575256700002
y[1] (numeric) = 2.2072416177032190785752567000014
absolute error = 6e-31
relative error = 2.7183249680854590468130111435913e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.642
y[1] (analytic) = 2.207976843078974602952621087031
y[1] (numeric) = 2.2079768430789746029526210870306
absolute error = 4e-31
relative error = 1.8116132026195025482064797590172e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.643
y[1] (analytic) = 2.20871215954367510790182562453
y[1] (numeric) = 2.2087121595436751079018256245291
absolute error = 9e-31
relative error = 4.0747726955328666323879986756812e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1705.2MB, alloc=4.5MB, time=164.28
x[1] = 2.644
y[1] (analytic) = 2.209447567091470275964262629772
y[1] (numeric) = 2.2094475670914702759642626297717
absolute error = 3e-31
relative error = 1.3578054734963534704390214026606e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.645
y[1] (analytic) = 2.210183065716512169773670691589
y[1] (numeric) = 2.2101830657165121697736706915884
absolute error = 6e-31
relative error = 2.7147072534712771475854978526535e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.646
y[1] (analytic) = 2.210918655412955230743592658126
y[1] (numeric) = 2.2109186554129552307435926581257
absolute error = 3e-31
relative error = 1.3569020247104750270829107995431e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.647
y[1] (analytic) = 2.211654336174956277755835264117
y[1] (numeric) = 2.2116543361749562777558352641155
absolute error = 1.5e-30
relative error = 6.7822533361801987313377422769129e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.648
y[1] (analytic) = 2.212390107996674505849929420589
y[1] (numeric) = 2.212390107996674505849929420589
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) = 2.213125970872271484913590191135
y[1] (numeric) = 2.213125970872271484913590191135
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1709.0MB, alloc=4.5MB, time=164.64
x[1] = 2.65
y[1] (analytic) = 2.21386192479591115837417547996
y[1] (numeric) = 2.2138619247959111583741754799601
absolute error = 1e-31
relative error = 4.5169935342385311487002880499285e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.651
y[1] (analytic) = 2.214597969761759841891142458171
y[1] (numeric) = 2.2145979697617598418911424581695
absolute error = 1.5e-30
relative error = 6.7732383957769352539950543121168e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.652
y[1] (analytic) = 2.215334105763986222049500755842
y[1] (numeric) = 2.2153341057639862220495007558411
absolute error = 9e-31
relative error = 4.0625926250055339660361785341536e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.653
y[1] (analytic) = 2.216070332796761355054261448622
y[1] (numeric) = 2.2160703327967613550542614486222
absolute error = 2e-31
relative error = 9.0249843175145405384334416176536e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.654
y[1] (analytic) = 2.216806650854258665425880868732
y[1] (numeric) = 2.2168066508542586654258808687315
absolute error = 5e-31
relative error = 2.2554966614130386302065485632595e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.655
y[1] (analytic) = 2.217543059930653944696698271401
y[1] (numeric) = 2.2175430599306539446966982714007
absolute error = 3e-31
relative error = 1.3528485891470421832890967654764e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1712.8MB, alloc=4.5MB, time=165.00
x[1] = 2.656
y[1] (analytic) = 2.21827956002012535010836638894
y[1] (numeric) = 2.2182795600201253501083663889397
absolute error = 3e-31
relative error = 1.3523994243416201734729826985474e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.657
y[1] (analytic) = 2.219016151116853403310273905761
y[1] (numeric) = 2.2190161511168534033102739057598
absolute error = 1.2e-30
relative error = 5.4078020089940660962863388004828e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.658
y[1] (analytic) = 2.219752833215020989058958888835
y[1] (numeric) = 2.2197528332150209890589588888338
absolute error = 1.2e-30
relative error = 5.4060072907394707965151434790852e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.659
y[1] (analytic) = 2.220489606308813353918512209221
y[1] (numeric) = 2.2204896063088133539185122092196
absolute error = 1.4e-30
relative error = 6.3049157988506061964350075931144e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.66
y[1] (analytic) = 2.221226470392418104961969991418
y[1] (numeric) = 2.221226470392418104961969991417
absolute error = 1.0e-30
relative error = 4.5020173013845485562238385066130e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1716.6MB, alloc=4.5MB, time=165.36
x[1] = 2.661
y[1] (analytic) = 2.221963425460025208473694128469
y[1] (numeric) = 2.2219634254600252084736941284684
absolute error = 6e-31
relative error = 2.7003144746893334982939719227763e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.662
y[1] (analytic) = 2.222700471505826988652739901859
y[1] (numeric) = 2.222700471505826988652739901857
absolute error = 2.0e-30
relative error = 8.9980635071582421203653197310621e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.663
y[1] (analytic) = 2.223437608524018126317209746394
y[1] (numeric) = 2.2234376085240181263172097463929
absolute error = 1.1e-30
relative error = 4.9472942068755041762220260356285e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.664
y[1] (analytic) = 2.224174836508795657609592201418
y[1] (numeric) = 2.2241748365087956576095922014171
absolute error = 9e-31
relative error = 4.0464444846102856535833958696213e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.665
y[1] (analytic) = 2.224912155454358972703085090787
y[1] (numeric) = 2.2249121554543589727030850907868
absolute error = 2e-31
relative error = 8.9891189416041071303270912042520e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.666
y[1] (analytic) = 2.225649565354909814508901975242
y[1] (numeric) = 2.2256495653549098145089019752419
absolute error = 1e-31
relative error = 4.4930703178356675602349330245902e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1720.4MB, alloc=4.5MB, time=165.73
x[1] = 2.667
y[1] (analytic) = 2.226387066204652277384560921885
y[1] (numeric) = 2.2263870662046522773845609218844
absolute error = 6e-31
relative error = 2.6949491807048040552770194919393e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.668
y[1] (analytic) = 2.227124657997792805843154636634
y[1] (numeric) = 2.2271246579977928058431546366324
absolute error = 1.6e-30
relative error = 7.1841510723446252716531924852183e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.669
y[1] (analytic) = 2.227862340728540193263601006644
y[1] (numeric) = 2.2278623407285401932636010066425
absolute error = 1.5e-30
relative error = 6.7329115115320829679995812922251e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.67
y[1] (analytic) = 2.22860011439110558060187310082
y[1] (numeric) = 2.2286001143911055806018731008195
absolute error = 5e-31
relative error = 2.2435608648284089719586385042930e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.671
y[1] (analytic) = 2.22933797897970245510320767766
y[1] (numeric) = 2.2293379789797024551032076776604
absolute error = 4e-31
relative error = 1.7942546342078977177798810959721e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.672
y[1] (analytic) = 2.230075934488546649015291250805
y[1] (numeric) = 2.2300759344885466490152912508044
absolute error = 6e-31
relative error = 2.6904913448052883518049443424490e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1724.3MB, alloc=4.5MB, time=166.10
x[1] = 2.673
y[1] (analytic) = 2.230813980911856338302422763783
y[1] (numeric) = 2.2308139809118563383024227637832
absolute error = 2e-31
relative error = 8.9653373930465059543560975461134e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.674
y[1] (analytic) = 2.231552118243852041360651926588
y[1] (numeric) = 2.2315521182438520413606519265874
absolute error = 6e-31
relative error = 2.6887115702777201258078678683295e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.675
y[1] (analytic) = 2.232290346478756617733892267787
y[1] (numeric) = 2.232290346478756617733892267786
absolute error = 1.0e-30
relative error = 4.4797040025613729296147471812289e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.676
y[1] (analytic) = 2.233028665610795266831007957054
y[1] (numeric) = 2.2330286656107952668310079570534
absolute error = 6e-31
relative error = 2.6869337113318398027952938970395e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.677
y[1] (analytic) = 2.233767075634195526643873454077
y[1] (numeric) = 2.2337670756341955266438734540758
absolute error = 1.2e-30
relative error = 5.3720909986073834130442532473944e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1728.1MB, alloc=4.5MB, time=166.46
x[1] = 2.678
y[1] (analytic) = 2.234505576543187272466405040924
y[1] (numeric) = 2.2345055765431872724664050409243
absolute error = 3e-31
relative error = 1.3425788825468244160328720855849e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.679
y[1] (analytic) = 2.235244168332002715614563296097
y[1] (numeric) = 2.2352441683320027156145632960956
absolute error = 1.4e-30
relative error = 6.2632978528010941237660678791152e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.68
y[1] (analytic) = 2.235982850994876402147325569533
y[1] (numeric) = 2.2359828509948764021473255695335
absolute error = 5e-31
relative error = 2.2361531072455694559611515799973e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.681
y[1] (analytic) = 2.236721624526045211588627519057
y[1] (numeric) = 2.2367216245260452115886275190559
absolute error = 1.1e-30
relative error = 4.9179119472817132156084310233255e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.682
y[1] (analytic) = 2.237460488919748355650272769721
y[1] (numeric) = 2.2374604889197483556502727697198
absolute error = 1.2e-30
relative error = 5.3632231985440023029151956505202e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.683
y[1] (analytic) = 2.238199444170227376955809758767
y[1] (numeric) = 2.2381994441702273769558097587659
absolute error = 1.1e-30
relative error = 4.9146647894366063939908339144391e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1731.9MB, alloc=4.5MB, time=166.83
x[1] = 2.684
y[1] (analytic) = 2.23893849027172614776537482989
y[1] (numeric) = 2.2389384902717261477653748298896
absolute error = 4e-31
relative error = 1.7865609159787791600085033367449e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.685
y[1] (analytic) = 2.239677627218490868701500641691
y[1] (numeric) = 2.2396776272184908687015006416898
absolute error = 1.2e-30
relative error = 5.3579139489387526604374497236865e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.686
y[1] (analytic) = 2.240416855004770067475888956252
y[1] (numeric) = 2.2404168550047700674758889562507
absolute error = 1.3e-30
relative error = 5.8024916081843714407784533136780e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.687
y[1] (analytic) = 2.241156173624814597617146874914
y[1] (numeric) = 2.2411561736248145976171468749125
absolute error = 1.5e-30
relative error = 6.6929739999953729879273634344382e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.688
y[1] (analytic) = 2.241895583072877637199485589387
y[1] (numeric) = 2.2418955830728776371994855893871
absolute error = 1e-31
relative error = 4.4605110405246418181039545721514e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.689
y[1] (analytic) = 2.242635083343214687572380717474
y[1] (numeric) = 2.2426350833432146875723807174731
absolute error = 9e-31
relative error = 4.0131361837893056444686579537863e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1735.7MB, alloc=4.5MB, time=167.20
x[1] = 2.69
y[1] (analytic) = 2.243374674430083572091193293723
y[1] (numeric) = 2.2433746744300835720911932937228
absolute error = 2e-31
relative error = 8.9151403142593133365956644372235e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.691
y[1] (analytic) = 2.244114356327744434848750486507
y[1] (numeric) = 2.2441143563277444348487504865064
absolute error = 6e-31
relative error = 2.6736605392152852649000570108617e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.692
y[1] (analytic) = 2.244854129030459739407885114017
y[1] (numeric) = 2.2448541290304597394078851140152
absolute error = 1.8e-30
relative error = 8.0183383709542418569935007796801e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.693
y[1] (analytic) = 2.245593992532494267534933032838
y[1] (numeric) = 2.2455939925324942675349330328369
absolute error = 1.1e-30
relative error = 4.8984812199264143875397662541901e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.694
y[1] (analytic) = 2.246333946828115117934187473828
y[1] (numeric) = 2.2463339468281151179341874738266
absolute error = 1.4e-30
relative error = 6.2323769890796434568406752915838e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1739.5MB, alloc=4.5MB, time=167.56
x[1] = 2.695
y[1] (analytic) = 2.247073991911591704983309401087
y[1] (numeric) = 2.2470739919115917049833094010863
absolute error = 7e-31
relative error = 3.1151622177092093638401578405968e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.696
y[1] (analytic) = 2.247814127777195757469692970957
y[1] (numeric) = 2.2478141277771957574696929709551
absolute error = 1.9e-30
relative error = 8.4526561894993515494402633155974e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.697
y[1] (analytic) = 2.248554354419201317327785168997
y[1] (numeric) = 2.2485543544192013173277851689963
absolute error = 7e-31
relative error = 3.1131113136057993803553023485776e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.698
y[1] (analytic) = 2.249294671831884738377358704055
y[1] (numeric) = 2.2492946718318847383773587040539
absolute error = 1.1e-30
relative error = 4.8904219343752371467594871517135e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.699
y[1] (analytic) = 2.250035080009524685062737239533
y[1] (numeric) = 2.250035080009524685062737239534
absolute error = 1.0e-30
relative error = 4.4443751516788212592577019634151e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.7
y[1] (analytic) = 2.250775578946402131192972043149
y[1] (numeric) = 2.2507755789464021311929720431478
absolute error = 1.2e-30
relative error = 5.3314955574634643747546094843606e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1743.3MB, alloc=4.5MB, time=167.92
x[1] = 2.701
y[1] (analytic) = 2.251516168636800358682969137436
y[1] (numeric) = 2.2515161686368003586829691374341
absolute error = 1.9e-30
relative error = 8.4387579643737188128635518491279e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.702
y[1] (analytic) = 2.252256849075004956295566034459
y[1] (numeric) = 2.2522568490750049562955660344569
absolute error = 2.1e-30
relative error = 9.3239809698545866048581243873368e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.703
y[1] (analytic) = 2.252997620255303818384557139152
y[1] (numeric) = 2.2529976202553038183845571391518
absolute error = 2e-31
relative error = 8.8770621949141926415355950506854e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.704
y[1] (analytic) = 2.253738482171987143638666906871
y[1] (numeric) = 2.2537384821719871436386669068707
absolute error = 3e-31
relative error = 1.3311216113720616659481698825825e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.705
y[1] (analytic) = 2.254479434819347433826469841748
y[1] (numeric) = 2.2544794348193474338264698417477
absolute error = 3e-31
relative error = 1.3306841276378249608757945601280e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.706
y[1] (analytic) = 2.255220478191679492542256423584
y[1] (numeric) = 2.2552204781916794925422564235828
absolute error = 1.2e-30
relative error = 5.3209875114392588510291271914790e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1747.1MB, alloc=4.5MB, time=168.29
x[1] = 2.707
y[1] (analytic) = 2.255961612283280423952844052012
y[1] (numeric) = 2.2559616122832804239528440520109
absolute error = 1.1e-30
relative error = 4.8759694934998447547609377041845e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.708
y[1] (analytic) = 2.256702837088449631545332097794
y[1] (numeric) = 2.2567028370884496315453320977936
absolute error = 4e-31
relative error = 1.7724974392998572964433610878954e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.709
y[1] (analytic) = 2.25744415260148881687580015214
y[1] (numeric) = 2.2574441526014888168758001521397
absolute error = 3e-31
relative error = 1.3289365305196084153468484361672e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.71
y[1] (analytic) = 2.258185558816701978318948566027
y[1] (numeric) = 2.2581855588167019783189485660266
absolute error = 4e-31
relative error = 1.7713336197650717277658728639528e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.711
y[1] (analytic) = 2.258927055728395409818680372561
y[1] (numeric) = 2.2589270557283954098186803725609
absolute error = 1e-31
relative error = 4.4268804407123631564849347730665e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1751.0MB, alloc=4.5MB, time=168.65
x[1] = 2.712
y[1] (analytic) = 2.25966864333087769963962368648
y[1] (numeric) = 2.2596686433308776996396236864801
absolute error = 1e-31
relative error = 4.4254276083857329930721383390449e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.713
y[1] (analytic) = 2.260410321618459729119593675961
y[1] (numeric) = 2.26041032161845972911959367596
absolute error = 1.0e-30
relative error = 4.4239755518546622662356267965516e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.714
y[1] (analytic) = 2.261152090585454671422993202953
y[1] (numeric) = 2.2611520905854546714229932029524
absolute error = 6e-31
relative error = 2.6535145623249462639189038213544e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.715
y[1] (analytic) = 2.261893950226177990295151229341
y[1] (numeric) = 2.261893950226177990295151229339
absolute error = 2.0e-30
relative error = 8.8421475277389113854267009579425e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.716
y[1] (analytic) = 2.262635900534947438817598087245
y[1] (numeric) = 2.2626359005349474388175980872434
absolute error = 1.6e-30
relative error = 7.0713984500189241717165557286266e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.717
y[1] (analytic) = 2.263377941506083058164276712902
y[1] (numeric) = 2.263377941506083058164276712901
absolute error = 1.0e-30
relative error = 4.4181750721427731931689845217606e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1754.8MB, alloc=4.5MB, time=169.01
x[1] = 2.718
y[1] (analytic) = 2.264120073133907176358688944543
y[1] (numeric) = 2.2641200731339071763586889445418
absolute error = 1.2e-30
relative error = 5.3000722631243074928332291326395e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.719
y[1] (analytic) = 2.264862295412744407031975985795
y[1] (numeric) = 2.2648622954127444070319759857937
absolute error = 1.3e-30
relative error = 5.7398633136902937050953497176087e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.72
y[1] (analytic) = 2.265604608336921648181932137169
y[1] (numeric) = 2.2656046083369216481819321371667
absolute error = 2.3e-30
relative error = 1.0151815508922037638570642809891e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.721
y[1] (analytic) = 2.266347011900768080932950899231
y[1] (numeric) = 2.26634701190076808093295089923
absolute error = 1.0e-30
relative error = 4.4123869590531397517571612102231e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.722
y[1] (analytic) = 2.267089506098615168296902552141
y[1] (numeric) = 2.2670895060986151682969025521411
absolute error = 1e-31
relative error = 4.4109418587573905104789399384026e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.723
y[1] (analytic) = 2.267832090924796653934942317238
y[1] (numeric) = 2.2678320909247966539349423172366
absolute error = 1.4e-30
relative error = 6.1732965399087178522746190758221e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1758.6MB, alloc=4.5MB, time=169.38
x[1] = 2.724
y[1] (analytic) = 2.26857476637364856092024820744
y[1] (numeric) = 2.2685747663736485609202482074384
absolute error = 1.6e-30
relative error = 7.0528863483641072844410220060267e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.725
y[1] (analytic) = 2.269317532439509190501687674277
y[1] (numeric) = 2.2693175324395091905016876742752
absolute error = 1.8e-30
relative error = 7.9319001165297730580630605687788e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.726
y[1] (analytic) = 2.270060389116719120868412160363
y[1] (numeric) = 2.2700603891167191208684121603627
absolute error = 3e-31
relative error = 1.3215507456906468045419003056524e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.727
y[1] (analytic) = 2.270803336399621205915378667228
y[1] (numeric) = 2.2708033363996212059153786672276
absolute error = 4e-31
relative error = 1.7614911586055864324257615944616e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.728
y[1] (analytic) = 2.271546374282560574009797449403
y[1] (numeric) = 2.2715463742825605740097974494008
absolute error = 2.2e-30
relative error = 9.6850322974138813310175926708329e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.729
y[1] (analytic) = 2.272289502759884626758504946746
y[1] (numeric) = 2.2722895027598846267585049467459
absolute error = 1e-31
relative error = 4.4008476859370991798696683810674e-30 %
memory used=1762.4MB, alloc=4.5MB, time=169.74
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.73
y[1] (analytic) = 2.273032721825943037776261068025
y[1] (numeric) = 2.2730327218259430377762610680243
absolute error = 7e-31
relative error = 3.0795861110071707112839030223267e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.731
y[1] (analytic) = 2.27377603147508775145496993974
y[1] (numeric) = 2.2737760314750877514549699397378
absolute error = 2.2e-30
relative error = 9.6755351870464289118292100136466e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.732
y[1] (analytic) = 2.274519431701672981733823235322
y[1] (numeric) = 2.2745194317016729817338232353212
absolute error = 8e-31
relative error = 3.5172264912306467785304223207559e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.733
y[1] (analytic) = 2.275262922500055210870365200793
y[1] (numeric) = 2.2752629225000552108703652007932
absolute error = 2e-31
relative error = 8.7901929057165984234945037975970e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.734
y[1] (analytic) = 2.276006503864593188212478494006
y[1] (numeric) = 2.2760065038645931882124784940054
absolute error = 6e-31
relative error = 2.6361963332759258849353655509715e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1766.2MB, alloc=4.5MB, time=170.11
x[1] = 2.735
y[1] (analytic) = 2.276750175789647928971289955661
y[1] (numeric) = 2.2767501757896479289712899556589
absolute error = 2.1e-30
relative error = 9.2236733846815430306395436175485e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.736
y[1] (analytic) = 2.27749393826958271299499543129
y[1] (numeric) = 2.2774939382695827129949954312884
absolute error = 1.6e-30
relative error = 7.0252656795901907768702241292127e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.737
y[1] (analytic) = 2.278237791298763083543602764442
y[1] (numeric) = 2.2782377912987630835436027644408
absolute error = 1.2e-30
relative error = 5.2672289283548042258046505933123e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.738
y[1] (analytic) = 2.278981734871556846064592082304
y[1] (numeric) = 2.2789817348715568460645920823023
absolute error = 1.7e-30
relative error = 7.4594718070253064514299790566485e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.739
y[1] (analytic) = 2.279725768982334066969492496053
y[1] (numeric) = 2.2797257689823340669694924960521
absolute error = 9e-31
relative error = 3.9478432548567390144525931003360e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.74
y[1] (analytic) = 2.280469893625467072411374339247
y[1] (numeric) = 2.2804698936254670724113743392448
absolute error = 2.2e-30
relative error = 9.6471345933993591068680724362293e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1770.0MB, alloc=4.5MB, time=170.47
x[1] = 2.741
y[1] (analytic) = 2.281214108795330447063256068548
y[1] (numeric) = 2.2812141087953304470632560685464
absolute error = 1.6e-30
relative error = 7.0138089793111625666257598570918e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.742
y[1] (analytic) = 2.281958414486301032897424952169
y[1] (numeric) = 2.2819584144863010328974249521681
absolute error = 9e-31
relative error = 3.9439807241298999851660292449349e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.743
y[1] (analytic) = 2.282702810692757927965670672363
y[1] (numeric) = 2.2827028106927579279656706723628
absolute error = 2e-31
relative error = 8.7615435116279421722460493101454e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.744
y[1] (analytic) = 2.283447297409082485180430969367
y[1] (numeric) = 2.2834472974090824851804309693664
absolute error = 6e-31
relative error = 2.6276060791102604436779197346785e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.745
y[1] (analytic) = 2.284191874629658311096848455184
y[1] (numeric) = 2.2841918746296583110968484551827
absolute error = 1.3e-30
relative error = 5.6912907117786338392605125332150e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.746
y[1] (analytic) = 2.284936542348871264695737726626
y[1] (numeric) = 2.284936542348871264695737726626
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
memory used=1773.8MB, alloc=4.5MB, time=170.84
TOP MAIN SOLVE Loop
x[1] = 2.747
y[1] (analytic) = 2.28568130056110945616746190805
y[1] (numeric) = 2.2856813005611094561674619080489
absolute error = 1.1e-30
relative error = 4.8125694502114628898717003591640e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.748
y[1] (analytic) = 2.286426149260763245696717755196
y[1] (numeric) = 2.2864261492607632456967177551956
absolute error = 4e-31
relative error = 1.7494551491607378380730767746352e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.749
y[1] (analytic) = 2.287171088442225242248228452632
y[1] (numeric) = 2.2871710884422252422482284526315
absolute error = 5e-31
relative error = 2.1861066822969775328153099299964e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.75
y[1] (analytic) = 2.28791611809989030235334323821
y[1] (numeric) = 2.2879161180998903023533432382099
absolute error = 1e-31
relative error = 4.3707896110741069154122528722566e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.751
y[1] (analytic) = 2.288661238228155528897542989046
y[1] (numeric) = 2.2886612382281555288975429890444
absolute error = 1.6e-30
relative error = 6.9909865788555675095440155170548e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1777.7MB, alloc=4.5MB, time=171.20
x[1] = 2.752
y[1] (analytic) = 2.289406448821420269908850904462
y[1] (numeric) = 2.2894064488214202699088509044627
absolute error = 7e-31
relative error = 3.0575610563181472143107881358412e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.753
y[1] (analytic) = 2.290151749874086117347147422424
y[1] (numeric) = 2.2901517498740861173471474224229
absolute error = 1.1e-30
relative error = 4.8031751610367245024649019049073e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.754
y[1] (analytic) = 2.290897141380556905894388506878
y[1] (numeric) = 2.290897141380556905894388506877
absolute error = 1.0e-30
relative error = 4.3651021337316472027820698477178e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.755
y[1] (analytic) = 2.291642623335238711745726444571
y[1] (numeric) = 2.2916426233352387117457264445697
absolute error = 1.3e-30
relative error = 5.6727867895387204380282919674051e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.756
y[1] (analytic) = 2.292388195732539851401532290762
y[1] (numeric) = 2.2923881957325398514015322907616
absolute error = 4e-31
relative error = 1.7449051637267689867220879988005e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.757
y[1] (analytic) = 2.293133858566870880460319104365
y[1] (numeric) = 2.293133858566870880460319104365
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1781.5MB, alloc=4.5MB, time=171.56
x[1] = 2.758
y[1] (analytic) = 2.293879611832644592412565113981
y[1] (numeric) = 2.2938796118326445924125651139806
absolute error = 4e-31
relative error = 1.7437706753948992559944902542927e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.759
y[1] (analytic) = 2.29462545552427601743543595732
y[1] (numeric) = 2.2946254555242760174354359573193
absolute error = 7e-31
relative error = 3.0506067921226996151598170872474e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.76
y[1] (analytic) = 2.295371389636182421188405137489
y[1] (numeric) = 2.2953713896361824211884051374895
absolute error = 5e-31
relative error = 2.1782967334068334115993666098256e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.761
y[1] (analytic) = 2.296117414162783303609771840626
y[1] (numeric) = 2.2961174141627833036097718406253
absolute error = 7e-31
relative error = 3.0486245854950581453615259764090e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.762
y[1] (analytic) = 2.296863529098500397714075260323
y[1] (numeric) = 2.2968635290985003977140752603229
absolute error = 1e-31
relative error = 4.3537632398756036799430290348835e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.763
y[1] (analytic) = 2.297609734437757668390404575346
y[1] (numeric) = 2.2976097344377576683904045753455
absolute error = 5e-31
relative error = 2.1761746240266245627664717804159e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1785.3MB, alloc=4.5MB, time=171.93
TOP MAIN SOLVE Loop
x[1] = 2.764
y[1] (analytic) = 2.298356030174981311201603728046
y[1] (numeric) = 2.2983560301749813112016037280463
absolute error = 3e-31
relative error = 1.3052808009782541192969766029200e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.765
y[1] (analytic) = 2.29910241630459975118437015195
y[1] (numeric) = 2.2991024163045997511843701519489
absolute error = 1.1e-30
relative error = 4.7844758554429920815169279856935e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.766
y[1] (analytic) = 2.299848892821043641650246597914
y[1] (numeric) = 2.2998488928210436416502465979122
absolute error = 1.8e-30
relative error = 7.8266011546179525634106101477522e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.767
y[1] (analytic) = 2.300595459718745862987505209292
y[1] (numeric) = 2.3005954597187458629875052092919
absolute error = 1e-31
relative error = 4.3467007455637279085324692362486e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.768
y[1] (analytic) = 2.301342116992141521463922997499
y[1] (numeric) = 2.3013421169921415214639229974977
absolute error = 1.3e-30
relative error = 5.6488776284123390001799562631025e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1789.1MB, alloc=4.5MB, time=172.30
x[1] = 2.769
y[1] (analytic) = 2.302088864635667948030447870328
y[1] (numeric) = 2.302088864635667948030447870327
absolute error = 1.0e-30
relative error = 4.3438809655085209170129923393823e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.77
y[1] (analytic) = 2.302835702643764697125754366439
y[1] (numeric) = 2.3028357026437646971257543664393
absolute error = 3e-31
relative error = 1.3027416574078027349802494138675e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.771
y[1] (analytic) = 2.303582631010873545481688250317
y[1] (numeric) = 2.303582631010873545481688250316
absolute error = 1.0e-30
relative error = 4.3410641603994613733536913609610e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.772
y[1] (analytic) = 2.30432964973143849092959912303
y[1] (numeric) = 2.3043296497314384909295991230303
absolute error = 3e-31
relative error = 1.3018970616246852699761278351029e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.773
y[1] (analytic) = 2.30507675879990575120756020513
y[1] (numeric) = 2.3050767587999057512075602051291
absolute error = 9e-31
relative error = 3.9044252932755603068505774973485e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.774
y[1] (analytic) = 2.305823958210723762768474448908
y[1] (numeric) = 2.305823958210723762768474448907
absolute error = 1.0e-30
relative error = 4.3368445211922478445999937890864e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1792.9MB, alloc=4.5MB, time=172.66
x[1] = 2.775
y[1] (analytic) = 2.306571247958343179589066138328
y[1] (numeric) = 2.3065712479583431795890661383273
absolute error = 7e-31
relative error = 3.0348076202701458611172833939442e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.776
y[1] (analytic) = 2.30731862803721687197975713582
y[1] (numeric) = 2.3073186280372168719797571358196
absolute error = 4e-31
relative error = 1.7336140537307187673344593787930e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.777
y[1] (analytic) = 2.308066098441799925395426936157
y[1] (numeric) = 2.3080660984417999253954269361554
absolute error = 1.6e-30
relative error = 6.9322104816676484654010269516546e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.778
y[1] (analytic) = 2.308813659166549639247055688578
y[1] (numeric) = 2.3088136591665496392470556885763
absolute error = 1.7e-30
relative error = 7.3630888021239310488080510253471e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.779
y[1] (analytic) = 2.309561310205925525714249349319
y[1] (numeric) = 2.3095613102059255257142493493189
absolute error = 1e-31
relative error = 4.3298266020521352519197128989391e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.78
y[1] (analytic) = 2.310309051554389308558646127649
y[1] (numeric) = 2.3103090515543893085586461276486
absolute error = 4e-31
relative error = 1.7313700941044129297618963609057e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1796.7MB, alloc=4.5MB, time=173.03
TOP MAIN SOLVE Loop
x[1] = 2.781
y[1] (analytic) = 2.311056883206404921938203389485
y[1] (numeric) = 2.3110568832064049219382033894834
absolute error = 1.6e-30
relative error = 6.9232393699463127054007414964614e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.782
y[1] (analytic) = 2.311804805156438509222364183655
y[1] (numeric) = 2.3118048051564385092223641836548
absolute error = 2e-31
relative error = 8.6512494287538308998604754388713e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.783
y[1] (analytic) = 2.312552817398958421808102556819
y[1] (numeric) = 2.3125528173989584218081025568174
absolute error = 1.6e-30
relative error = 6.9187608947223894141112453203505e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.784
y[1] (analytic) = 2.313300919928435217936846823983
y[1] (numeric) = 2.3133009199284352179368468239821
absolute error = 9e-31
relative error = 3.8905444261347658842254512482843e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.785
y[1] (analytic) = 2.314049112739341661512279962612
y[1] (numeric) = 2.3140491127393416615122799626118
absolute error = 2e-31
relative error = 8.6428589133634491033125700584825e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1800.5MB, alloc=4.5MB, time=173.39
x[1] = 2.786
y[1] (analytic) = 2.314797395826152720919016299178
y[1] (numeric) = 2.3147973958261527209190162991776
absolute error = 4e-31
relative error = 1.7280130033032101954381246385841e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.787
y[1] (analytic) = 2.315545769183345567842153658036
y[1] (numeric) = 2.3155457691833455678421536580348
absolute error = 1.2e-30
relative error = 5.1823635532076743034020580668061e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.788
y[1] (analytic) = 2.316294232805399576087700143435
y[1] (numeric) = 2.3162942328053995760877001434348
absolute error = 2e-31
relative error = 8.6344816287768540091266294294795e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.789
y[1] (analytic) = 2.317042786686796320403874726448
y[1] (numeric) = 2.3170427866867963204038747264475
absolute error = 5e-31
relative error = 2.1579230339331102885296370839904e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.79
y[1] (analytic) = 2.317791430822019575303280809524
y[1] (numeric) = 2.3177914308220195753032808095245
absolute error = 5e-31
relative error = 2.1572260271178576138558744060578e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.791
y[1] (analytic) = 2.318540165205555313885951942387
y[1] (numeric) = 2.3185401652055553138859519423864
absolute error = 6e-31
relative error = 2.5878352637760134338968358213381e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1804.4MB, alloc=4.5MB, time=173.76
x[1] = 2.792
y[1] (analytic) = 2.319288989831891706663268863874
y[1] (numeric) = 2.3192889898318917066632688638727
absolute error = 1.3e-30
relative error = 5.6051660905535859528018027220495e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.793
y[1] (analytic) = 2.320037904695519120382747045344
y[1] (numeric) = 2.3200379046955191203827470453434
absolute error = 6e-31
relative error = 2.5861646431968264265904779894615e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.794
y[1] (analytic) = 2.320786909790930116853693912174
y[1] (numeric) = 2.3207869097909301168536939121727
absolute error = 1.3e-30
relative error = 5.6015483132706548449525181849852e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.795
y[1] (analytic) = 2.321536005112619451773734920824
y[1] (numeric) = 2.3215360051126194517737349208233
absolute error = 7e-31
relative error = 3.0152450724796856006434766414846e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.796
y[1] (analytic) = 2.322285190655084073556207669941
y[1] (numeric) = 2.3222851906550840735562076699401
absolute error = 9e-31
relative error = 3.8754929998331627213411822656985e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.797
y[1] (analytic) = 2.323034466412823122158423224847
y[1] (numeric) = 2.3230344664128231221584232248465
absolute error = 5e-31
relative error = 2.1523572173773581771395306425907e-29 %
Correct digits = 30
h = 0.001
memory used=1808.2MB, alloc=4.5MB, time=174.12
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.798
y[1] (analytic) = 2.323783832380337927910793835774
y[1] (numeric) = 2.3237838323803379279107938357728
absolute error = 1.2e-30
relative error = 5.1639915179666067004065746119667e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.799
y[1] (analytic) = 2.324533288552132010346826231092
y[1] (numeric) = 2.3245332885521320103468262310912
absolute error = 8e-31
relative error = 3.4415510586139687474745345262657e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.8
y[1] (analytic) = 2.325282834922711077033979667774
y[1] (numeric) = 2.3252828349227110770339796677736
absolute error = 4e-31
relative error = 1.7202208436432869536358524368764e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.801
y[1] (analytic) = 2.326032471486583022405387922231
y[1] (numeric) = 2.3260324714865830224053879222303
absolute error = 7e-31
relative error = 3.0094162853738034202132250960751e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.802
y[1] (analytic) = 2.326782198238257926592444405629
y[1] (numeric) = 2.3267821982382579265924444056285
absolute error = 5e-31
relative error = 2.1488904306495858025810307235168e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1812.0MB, alloc=4.5MB, time=174.48
x[1] = 2.803
y[1] (analytic) = 2.327532015172248054258249588729
y[1] (numeric) = 2.3275320151722480542582495887279
absolute error = 1.1e-30
relative error = 4.7260359592458493000215003735192e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.804
y[1] (analytic) = 2.32828192228306785343191992221
y[1] (numeric) = 2.3282819222830678534319199222089
absolute error = 1.1e-30
relative error = 4.7245137690257090906074316056651e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.805
y[1] (analytic) = 2.329031919565233954343757439407
y[1] (numeric) = 2.3290319195652339543437574394055
absolute error = 1.5e-30
relative error = 6.4404441493442848284708341902629e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.806
y[1] (analytic) = 2.329782007013265168261279229291
y[1] (numeric) = 2.3297820070132651682612792292893
absolute error = 1.7e-30
relative error = 7.2968200238586555684611926928326e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.807
y[1] (analytic) = 2.330532184621682486326105968486
y[1] (numeric) = 2.3305321846216824863261059684863
absolute error = 3e-31
relative error = 1.2872596309958246137892812081503e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.808
y[1] (analytic) = 2.33128245238500907839170870204
y[1] (numeric) = 2.33128245238500907839170870204
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1815.8MB, alloc=4.5MB, time=174.84
x[1] = 2.809
y[1] (analytic) = 2.332032810297770291862013063566
y[1] (numeric) = 2.3320328102977702918620130635657
absolute error = 3e-31
relative error = 1.2864313000883289357803972668089e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.81
y[1] (analytic) = 2.332783258354493650530860126372
y[1] (numeric) = 2.3327832583544936505308601263715
absolute error = 5e-31
relative error = 2.1433624328763901077169608270199e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.811
y[1] (analytic) = 2.333533796549708853422323078052
y[1] (numeric) = 2.3335337965497088534223230780502
absolute error = 1.8e-30
relative error = 7.7136230152801922979041710024386e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.812
y[1] (analytic) = 2.334284424877947773631878911975
y[1] (numeric) = 2.3342844248779477736318789119738
absolute error = 1.2e-30
relative error = 5.1407617135720045822477097519181e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.813
y[1] (analytic) = 2.335035143333744457168434330049
y[1] (numeric) = 2.3350351433337444571684343300491
absolute error = 1e-31
relative error = 4.2825907903565582701801393458009e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.814
y[1] (analytic) = 2.335785951911635121797205052018
y[1] (numeric) = 2.3357859519116351217972050520169
absolute error = 1.1e-30
relative error = 4.7093356268357845955062183306127e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1819.6MB, alloc=4.5MB, time=175.21
TOP MAIN SOLVE Loop
x[1] = 2.815
y[1] (analytic) = 2.336536850606158155883447727504
y[1] (numeric) = 2.3365368506061581558834477275032
absolute error = 8e-31
relative error = 3.4238706733534259759937742397775e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.816
y[1] (analytic) = 2.337287839411854117237043647952
y[1] (numeric) = 2.3372878394118541172370436479511
absolute error = 9e-31
relative error = 3.8506168766379773156618061078648e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.817
y[1] (analytic) = 2.338038918323265731957933456486
y[1] (numeric) = 2.3380389183232657319579334564852
absolute error = 8e-31
relative error = 3.4216710155266504484449868554072e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.818
y[1] (analytic) = 2.33879008733493789328240205468
y[1] (numeric) = 2.3387900873349378932824020546795
absolute error = 5e-31
relative error = 2.1378575303000035773041130496101e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.819
y[1] (analytic) = 2.339541346441417660430212906121
y[1] (numeric) = 2.3395413464414176604302129061195
absolute error = 1.5e-30
relative error = 6.4115131039748014292309885807209e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1823.4MB, alloc=4.5MB, time=175.57
x[1] = 2.82
y[1] (analytic) = 2.340292695637254257452590937566
y[1] (numeric) = 2.3402926956372542574525909375653
absolute error = 7e-31
relative error = 2.9910788565247913420945619399137e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.821
y[1] (analytic) = 2.341044134916999072081053239442
y[1] (numeric) = 2.3410441349169990720810532394408
absolute error = 1.2e-30
relative error = 5.1259178846815956935664082118724e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.822
y[1] (analytic) = 2.341795664275205654577086768289
y[1] (numeric) = 2.341795664275205654577086768288
absolute error = 1.0e-30
relative error = 4.2702273953927729513713556886908e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.823
y[1] (analytic) = 2.34254728370642971658267225474
y[1] (numeric) = 2.3425472837064297165826722547398
absolute error = 2e-31
relative error = 8.5377145379774623480557598968612e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.824
y[1] (analytic) = 2.343298993205229129971653521478
y[1] (numeric) = 2.3432989932052291299716535214769
absolute error = 1.1e-30
relative error = 4.6942366432522108363421694508730e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.825
y[1] (analytic) = 2.344050792766163925701951416548
y[1] (numeric) = 2.3440507927661639257019514165463
absolute error = 1.7e-30
relative error = 7.2524025727013643884079242887148e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1827.3MB, alloc=4.5MB, time=175.93
x[1] = 2.826
y[1] (analytic) = 2.34480268238379629266862156833
y[1] (numeric) = 2.3448026823837962926686215683296
absolute error = 4e-31
relative error = 1.7059004708803389724263672939729e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.827
y[1] (analytic) = 2.345554662052690576557755169357
y[1] (numeric) = 2.3455546620526905765577551693565
absolute error = 5e-31
relative error = 2.1316919536738896609510758146491e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.828
y[1] (analytic) = 2.34630673176741327870122199707
y[1] (numeric) = 2.3463067317674132787012219970688
absolute error = 1.2e-30
relative error = 5.1144208204017318439673833536837e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.829
y[1] (analytic) = 2.347058891522533054932254880546
y[1] (numeric) = 2.3470588915225330549322548805454
absolute error = 6e-31
relative error = 2.5563909033862419823076182621174e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.83
y[1] (analytic) = 2.347811141312620714441874823105
y[1] (numeric) = 2.3478111413126207144418748231044
absolute error = 6e-31
relative error = 2.5555718236542243713127057865063e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.831
y[1] (analytic) = 2.348563481132249218636155991604
y[1] (numeric) = 2.3485634811322492186361559916024
absolute error = 1.6e-30
relative error = 6.8126751218520837752535432153535e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1831.1MB, alloc=4.5MB, time=176.29
TOP MAIN SOLVE Loop
x[1] = 2.832
y[1] (analytic) = 2.349315910975993679994329784155
y[1] (numeric) = 2.3493159109759936799943297841548
absolute error = 2e-31
relative error = 8.5131164806572361389332976041066e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.833
y[1] (analytic) = 2.350068430838431360927727188901
y[1] (numeric) = 2.3500684308384313609277271889006
absolute error = 4e-31
relative error = 1.7020780959016262967491227098456e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.834
y[1] (analytic) = 2.350821040714141672639558647339
y[1] (numeric) = 2.350821040714141672639558647338
absolute error = 1.0e-30
relative error = 4.2538329489182046042646815539205e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.835
y[1] (analytic) = 2.351573740597706173985530636655
y[1] (numeric) = 2.3515737405977061739855306366545
absolute error = 5e-31
relative error = 2.1262356836529122852563869550124e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.836
y[1] (analytic) = 2.352326530483708570335298186375
y[1] (numeric) = 2.3523265304837085703352981863744
absolute error = 6e-31
relative error = 2.5506662966413174161876237336779e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1834.9MB, alloc=4.5MB, time=176.66
x[1] = 2.837
y[1] (analytic) = 2.353079410366734712434752545543
y[1] (numeric) = 2.3530794103667347124347525455417
absolute error = 1.3e-30
relative error = 5.5246754286009879052048963497522e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.838
y[1] (analytic) = 2.353832380241372595269143217556
y[1] (numeric) = 2.353832380241372595269143217555
absolute error = 1.0e-30
relative error = 4.2483908726646690404297984378950e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.839
y[1] (analytic) = 2.354585440102212356927033580662
y[1] (numeric) = 2.3545854401022123569270335806613
absolute error = 7e-31
relative error = 2.9729224859625950060017305039354e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.84
y[1] (analytic) = 2.355338589943846277465089313014
y[1] (numeric) = 2.3553385899438462774650893130128
absolute error = 1.2e-30
relative error = 5.0948088955168405257128009928978e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.841
y[1] (analytic) = 2.356091829760868777773698842081
y[1] (numeric) = 2.3560918297608687777736988420799
absolute error = 1.1e-30
relative error = 4.6687484167866426136596290197369e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.842
y[1] (analytic) = 2.356845159547876418443425039106
y[1] (numeric) = 2.3568451595478764184434250391054
absolute error = 6e-31
relative error = 2.5457760666598078055748228401115e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1838.7MB, alloc=4.5MB, time=177.02
x[1] = 2.843
y[1] (analytic) = 2.357598579299467898632287380177
y[1] (numeric) = 2.3575985792994678986322873801749
absolute error = 2.1e-30
relative error = 8.9073687880486837478282329254430e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.844
y[1] (analytic) = 2.358352089010244054933873796366
y[1] (numeric) = 2.3583520890102440549338737963657
absolute error = 3e-31
relative error = 1.2720746889235879473493986606287e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.845
y[1] (analytic) = 2.359105688674807860246281436326
y[1] (numeric) = 2.3591056886748078602462814363249
absolute error = 1.1e-30
relative error = 4.6627838900168498005787085823935e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.846
y[1] (analytic) = 2.359859378287764422641885565512
y[1] (numeric) = 2.3598593782877644226418855655118
absolute error = 2e-31
relative error = 8.4750812628976798013000869569791e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.847
y[1] (analytic) = 2.360613157843720984237935827229
y[1] (numeric) = 2.3606131578437209842379358272265
absolute error = 2.5e-30
relative error = 1.0590468801265178765355577051961e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.848
y[1] (analytic) = 2.361367027337286920067979091429
y[1] (numeric) = 2.3613670273372869200679790914281
absolute error = 9e-31
relative error = 3.8113516009192928216617171967722e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1842.5MB, alloc=4.5MB, time=177.38
TOP MAIN SOLVE Loop
x[1] = 2.849
y[1] (analytic) = 2.36212098676307373695410811823
y[1] (numeric) = 2.36212098676307373695410811823
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.85
y[1] (analytic) = 2.36287503611569507238003526384
y[1] (numeric) = 2.3628750361156950723800352638393
absolute error = 7e-31
relative error = 2.9624926807416887004921853280967e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.851
y[1] (analytic) = 2.363629175389766693364990457591
y[1] (numeric) = 2.3636291753897666933649904575897
absolute error = 1.3e-30
relative error = 5.5000167265477575038992068751049e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.852
y[1] (analytic) = 2.364383404579906495338442679595
y[1] (numeric) = 2.3643834045799064953384426795936
absolute error = 1.4e-30
relative error = 5.9212054918341215336375854577497e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.853
y[1] (analytic) = 2.365137723680734501015644169419
y[1] (numeric) = 2.3651377236807345010156441694183
absolute error = 7e-31
relative error = 2.9596585137149150017973707152203e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1846.3MB, alloc=4.5MB, time=177.75
x[1] = 2.854
y[1] (analytic) = 2.365892132686872859273996597068
y[1] (numeric) = 2.3658921326868728592739965970673
absolute error = 7e-31
relative error = 2.9587147711803367734193696946030e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.855
y[1] (analytic) = 2.366646631592945844030238428425
y[1] (numeric) = 2.366646631592945844030238428423
absolute error = 2.0e-30
relative error = 8.4507757655980824925092759374324e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.856
y[1] (analytic) = 2.367401220393579853118452718181
y[1] (numeric) = 2.3674012203935798531184527181813
absolute error = 3e-31
relative error = 1.2672123230135239856125629472123e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.857
y[1] (analytic) = 2.368155899083403407168894564182
y[1] (numeric) = 2.3681558990834034071688945641811
absolute error = 9e-31
relative error = 3.8004254717704425788578083656242e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.858
y[1] (analytic) = 2.368910667657047148487637457906
y[1] (numeric) = 2.3689106676570471484876374579044
absolute error = 1.6e-30
relative error = 6.7541592928975564852612412958118e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.859
y[1] (analytic) = 2.369665526109143839937037766795
y[1] (numeric) = 2.3696655261091438399370377667923
absolute error = 2.7e-30
relative error = 1.1394013080121254910024264362021e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1850.1MB, alloc=4.5MB, time=178.11
x[1] = 2.86
y[1] (analytic) = 2.370420474434328363817016584895
y[1] (numeric) = 2.3704204744343283638170165848923
absolute error = 2.7e-30
relative error = 1.1390384234022116808796190086029e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.861
y[1] (analytic) = 2.371175512627237720747158189221
y[1] (numeric) = 2.3711755126272377207471581892205
absolute error = 5e-31
relative error = 2.1086587531684030354599522569187e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.862
y[1] (analytic) = 2.37193064068251102854962434009
y[1] (numeric) = 2.3719306406825110285496243400889
absolute error = 1.1e-30
relative error = 4.6375723688255933624515793044639e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.863
y[1] (analytic) = 2.372685858594789521132883664516
y[1] (numeric) = 2.3726858585947895211328836645149
absolute error = 1.1e-30
relative error = 4.6360962451703113469685418812020e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.864
y[1] (analytic) = 2.373441166358716547376255362695
y[1] (numeric) = 2.373441166358716547376255362694
absolute error = 1.0e-30
relative error = 4.2132917140481680443085633096586e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.865
y[1] (analytic) = 2.374196563968937570015266478381
y[1] (numeric) = 2.3741965639689375700152664783802
absolute error = 8e-31
relative error = 3.3695609375436139122900952652087e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1854.0MB, alloc=4.5MB, time=178.48
x[1] = 2.866
y[1] (analytic) = 2.374952051420100164527821974885
y[1] (numeric) = 2.3749520514201001645278219748827
absolute error = 2.3e-30
relative error = 9.6844060435860898261710843240906e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.867
y[1] (analytic) = 2.375707628706854018021186859248
y[1] (numeric) = 2.3757076287068540180211868592464
absolute error = 1.6e-30
relative error = 6.7348354682470441133583696355102e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.868
y[1] (analytic) = 2.376463295823850928119779598047
y[1] (numeric) = 2.3764632958238509281197795980457
absolute error = 1.3e-30
relative error = 5.4703138158476278446823133885208e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.869
y[1] (analytic) = 2.377219052765744801853776069082
y[1] (numeric) = 2.3772190527657448018537760690797
absolute error = 2.3e-30
relative error = 9.6751706466599899899640697848782e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.87
y[1] (analytic) = 2.377974899527191654548523294115
y[1] (numeric) = 2.3779748995271916545485232941139
absolute error = 1.1e-30
relative error = 4.6257847390176867000865498750644e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1857.8MB, alloc=4.5MB, time=178.84
x[1] = 2.871
y[1] (analytic) = 2.378730836102849608714762198674
y[1] (numeric) = 2.3787308361028496087147621986714
absolute error = 2.6e-30
relative error = 1.0930198408911462637830260049774e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.872
y[1] (analytic) = 2.379486862487378892939658645733
y[1] (numeric) = 2.3794868624873788929396586457311
absolute error = 1.9e-30
relative error = 7.9849148568689685149611762198906e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.873
y[1] (analytic) = 2.380242978675441840778641991047
y[1] (numeric) = 2.3802429786754418407786419910464
absolute error = 6e-31
relative error = 2.5207510551460092437535490241154e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.874
y[1] (analytic) = 2.38099918466170288964805040865
y[1] (numeric) = 2.3809991846617028896480504086484
absolute error = 1.6e-30
relative error = 6.7198679038074983187383533019689e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.875
y[1] (analytic) = 2.381755480440828579718582235954
y[1] (numeric) = 2.3817554804408285797185822359531
absolute error = 9e-31
relative error = 3.7787254291671577621031659061475e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.876
y[1] (analytic) = 2.382511866007487552809552588741
y[1] (numeric) = 2.3825118660074875528095525887402
absolute error = 8e-31
relative error = 3.3578006951990804019654542572017e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1861.6MB, alloc=4.5MB, time=179.20
x[1] = 2.877
y[1] (analytic) = 2.383268341356350551283954497125
y[1] (numeric) = 2.3832683413563505512839544971229
absolute error = 2.1e-30
relative error = 8.8114290932294318531495218953998e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.878
y[1] (analytic) = 2.384024906482090416944323814477
y[1] (numeric) = 2.3840249064820904169443238144759
absolute error = 1.1e-30
relative error = 4.6140457551812224054359342533944e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.879
y[1] (analytic) = 2.384781561379382089929407152136
y[1] (numeric) = 2.384781561379382089929407152136
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.88
y[1] (analytic) = 2.38553830604290260761163209354
y[1] (numeric) = 2.3855383060429026076116320935378
absolute error = 2.2e-30
relative error = 9.2222371547213972836743764615880e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.881
y[1] (analytic) = 2.386295140467331103495378942291
y[1] (numeric) = 2.38629514046733110349537894229
absolute error = 1.0e-30
relative error = 4.1905964733438647181791470917705e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.882
y[1] (analytic) = 2.387052064647348806116053259545
y[1] (numeric) = 2.3870520646473488061160532595441
absolute error = 9e-31
relative error = 3.7703408875288253150592673005562e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1865.4MB, alloc=4.5MB, time=179.57
x[1] = 2.883
y[1] (analytic) = 2.38780907857763903793995844685
y[1] (numeric) = 2.3878090785776390379399584468492
absolute error = 8e-31
relative error = 3.3503516138590985443141208979899e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.884
y[1] (analytic) = 2.388566182252887214264967631529
y[1] (numeric) = 2.3885661822528872142649676315282
absolute error = 8e-31
relative error = 3.3492896531150031453711953652182e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.885
y[1] (analytic) = 2.389323375667780842121994112455
y[1] (numeric) = 2.3893233756677808421219941124533
absolute error = 1.7e-30
relative error = 7.1149850091969025828800291078577e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.886
y[1] (analytic) = 2.390080658817009519177259624937
y[1] (numeric) = 2.3900806588170095191772596249358
absolute error = 1.2e-30
relative error = 5.0207510594807711259194242401831e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.887
y[1] (analytic) = 2.390838031695264932635359684286
y[1] (numeric) = 2.3908380316952649326353596842862
absolute error = 2e-31
relative error = 8.3652676320439219093759797277547e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1869.2MB, alloc=4.5MB, time=179.93
x[1] = 2.888
y[1] (analytic) = 2.391595494297240858143125268438
y[1] (numeric) = 2.3915954942972408581431252684365
absolute error = 1.5e-30
relative error = 6.2719636476015689228190289986133e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.889
y[1] (analytic) = 2.392353046617633158694280100855
y[1] (numeric) = 2.3923530466176331586942801008534
absolute error = 1.6e-30
relative error = 6.6879761006098947637130879592564e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.89
y[1] (analytic) = 2.393110688651139783534892795808
y[1] (numeric) = 2.3931106886511397835348927958063
absolute error = 1.7e-30
relative error = 7.1037249052537272788702956912594e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.891
y[1] (analytic) = 2.39386842039246076706962312889
y[1] (numeric) = 2.3938684203924607670696231288884
absolute error = 1.6e-30
relative error = 6.6837424578987066081423411457371e-29 %
Correct digits = 30
h = 0.001
NO POLE
Finished!
Maximum Time Reached before Solution Completed!
diff ( y , x , 1 ) = sinh(sqrt(0.1 * x + 0.2));
Iterations = 2792
Total Elapsed Time = 3 Minutes 0 Seconds
Elapsed Time(since restart) = 3 Minutes 0 Seconds
Expected Time Remaining = 2 Minutes 15 Seconds
Optimized Time Remaining = 2 Minutes 15 Seconds
Expected Total Time = 5 Minutes 15 Seconds
Time to Timeout Unknown
Percent Done = 57 %
> quit
memory used=1871.4MB, alloc=4.5MB, time=180.12