|\^/| Maple 12 (IBM INTEL LINUX)
._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2008
\ MAPLE / All rights reserved. Maple is a trademark of
<____ ____> Waterloo Maple Inc.
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> #BEGIN OUTFILE1
> # Begin Function number 3
> check_sign := proc( x0 ,xf)
> local ret;
> if (xf > x0) then # if number 1
> ret := 1.0;
> else
> ret := -1.0;
> fi;# end if 1;
> ret;;
> end;
check_sign := proc(x0, xf)
local ret;
if x0 < xf then ret := 1.0 else ret := -1.0 end if; ret
end proc
> # End Function number 3
> # Begin Function number 4
> est_size_answer := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> 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_2D0, array_const_3D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, 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_2D0,
> array_const_3D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> 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_2D0, array_const_3D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, 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_2D0,
> array_const_3D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> 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_2D0, array_const_3D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, 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_2D0,
> array_const_3D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> 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_2D0, array_const_3D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, 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_2D0,
> array_const_3D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> 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_2D0, array_const_3D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, 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_2D0,
> array_const_3D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> 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_2D0, array_const_3D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, 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_2D0,
> array_const_3D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> 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_2D0, array_const_3D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, 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_2D0,
> array_const_3D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> 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_2D0, array_const_3D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, 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_2D0,
> array_const_3D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> 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_2D0[1] * array_x[1];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 1
> array_tmp2[1] := array_tmp1[1] + array_const_3D0[1];
> #emit pre sqrt 1 $eq_no = 1
> array_tmp3[1] := sqrt(array_tmp2[1]);
> array_tmp4_g[1] := sin(array_tmp3[1]);
> array_tmp4[1] := cos(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_2D0[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 cos FULL $eq_no = 1
> array_tmp4_g[2] := (att(1,array_tmp4,array_tmp3,1));
> array_tmp4[2] := (-att(1,array_tmp4_g,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 cos FULL $eq_no = 1
> array_tmp4_g[3] := (att(2,array_tmp4,array_tmp3,1));
> array_tmp4[3] := (-att(2,array_tmp4_g,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 cos FULL $eq_no = 1
> array_tmp4_g[4] := (att(3,array_tmp4,array_tmp3,1));
> array_tmp4[4] := (-att(3,array_tmp4_g,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 cos FULL $eq_no = 1
> array_tmp4_g[5] := (att(4,array_tmp4,array_tmp3,1));
> array_tmp4[5] := (-att(4,array_tmp4_g,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 cos 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_2D0, array_const_3D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, 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_2D0[1]*array_x[1];
array_tmp2[1] := array_tmp1[1] + array_const_3D0[1];
array_tmp3[1] := sqrt(array_tmp2[1]);
array_tmp4_g[1] := sin(array_tmp3[1]);
array_tmp4[1] := cos(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_2D0[1]*array_x[2];
array_tmp2[2] := array_tmp1[2];
array_tmp3[2] := array_tmp2[2]/(array_tmp3[1]*2.0);
array_tmp4_g[2] := att(1, array_tmp4, array_tmp3, 1);
array_tmp4[2] := -att(1, array_tmp4_g, 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_g[3] := att(2, array_tmp4, array_tmp3, 1);
array_tmp4[3] := -att(2, array_tmp4_g, 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_g[4] := att(3, array_tmp4, array_tmp3, 1);
array_tmp4[4] := -att(3, array_tmp4_g, 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_g[5] := att(4, array_tmp4, array_tmp3, 1);
array_tmp4[5] := -att(4, array_tmp4_g, 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(cos(sqrt(2.0*x+3.0))+sqrt(2.0*x+3.0)*sin(sqrt(2.0*x+3.0)));
> end;
exact_soln_y := proc(x)
return
cos(sqrt(2.0*x + 3.0)) + sqrt(2.0*x + 3.0)*sin(sqrt(2.0*x + 3.0))
end proc
> #END USER DEF BLOCK
> #END USER DEF BLOCK
> #END OUTFILE5
> # Begin Function number 2
> main := proc()
> #BEGIN OUTFIEMAIN
> local d1,d2,d3,d4,est_err_2,niii,done_once,
> term,ord,order_diff,term_no,html_log_file,iiif,jjjf,
> rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter,
> x_start,x_end
> ,it, log10norm, max_terms, opt_iter, tmp,subiter, est_needed_step_err,value3,min_value,est_answer,best_h,found_h,repeat_it;
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> 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/cos_sqrt_linpostode.ode#################");
> omniout_str(ALWAYS,"diff ( y , x , 1 ) = cos(sqrt(2.0*x + 3.0));");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"Digits:=32;");
> omniout_str(ALWAYS,"max_terms:=30;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#END FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"x_start := -1.0;");
> omniout_str(ALWAYS,"x_end := 5.0 ;");
> omniout_str(ALWAYS,"array_y_init[0 + 1] := exact_soln_y(x_start);");
> omniout_str(ALWAYS,"glob_look_poles := true;");
> omniout_str(ALWAYS,"glob_max_iter := 1000000;");
> omniout_str(ALWAYS,"glob_display_interval := 0.1;");
> omniout_str(ALWAYS,"glob_max_minutes := 10;");
> omniout_str(ALWAYS,"#END SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK");
> omniout_str(ALWAYS,"glob_desired_digits_correct:=10;");
> omniout_str(ALWAYS,"glob_display_interval:=0.001;");
> omniout_str(ALWAYS,"glob_look_poles:=true;");
> omniout_str(ALWAYS,"glob_max_iter:=10000000;");
> omniout_str(ALWAYS,"glob_max_minutes:=3;");
> omniout_str(ALWAYS,"glob_subiter_method:=3;");
> omniout_str(ALWAYS,"#END OVERRIDE BLOCK");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN USER DEF BLOCK");
> omniout_str(ALWAYS,"exact_soln_y := proc(x)");
> omniout_str(ALWAYS,"return(cos(sqrt(2.0*x+3.0))+sqrt(2.0*x+3.0)*sin(sqrt(2.0*x+3.0)));");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"#END USER DEF BLOCK");
> omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################");
> glob_unchanged_h_cnt := 0;
> glob_warned := false;
> glob_warned2 := false;
> glob_small_float := 1.0e-200;
> glob_smallish_float := 1.0e-64;
> glob_large_float := 1.0e100;
> glob_almost_1 := 0.99;
> glob_log10_abserr := -8.0;
> glob_log10_relerr := -8.0;
> glob_hmax := 0.01;
> #BEGIN FIRST INPUT BLOCK
> #BEGIN FIRST INPUT BLOCK
> Digits:=32;
> max_terms:=30;
> #END FIRST INPUT BLOCK
> #START OF INITS AFTER INPUT BLOCK
> glob_max_terms := max_terms;
> glob_html_log := true;
> #END OF INITS AFTER INPUT BLOCK
> array_y_init:= Array(0..(max_terms + 1),[]);
> array_norms:= Array(0..(max_terms + 1),[]);
> array_fact_1:= Array(0..(max_terms + 1),[]);
> array_pole:= Array(0..(max_terms + 1),[]);
> array_1st_rel_error:= Array(0..(max_terms + 1),[]);
> array_last_rel_error:= Array(0..(max_terms + 1),[]);
> array_type_pole:= Array(0..(max_terms + 1),[]);
> array_y:= Array(0..(max_terms + 1),[]);
> array_x:= Array(0..(max_terms + 1),[]);
> array_tmp0:= Array(0..(max_terms + 1),[]);
> array_tmp1:= 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_2D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_2D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_2D0[1] := 2.0;
> array_const_3D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_3D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_3D0[1] := 3.0;
> array_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_m1[1] := -1.0;
> #END ARRAYS DEFINED AND INITIALIZATED
> #Initing Factorial Tables
> iiif := 0;
> while (iiif <= glob_max_terms) do # do number 2
> jjjf := 0;
> while (jjjf <= glob_max_terms) do # do number 3
> array_fact_1[iiif] := 0;
> array_fact_2[iiif,jjjf] := 0;
> jjjf := jjjf + 1;
> od;# end do number 3;
> iiif := iiif + 1;
> od;# end do number 2;
> #Done Initing Factorial Tables
> #TOP SECOND INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> #END FIRST INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> x_start := -1.0;
> x_end := 5.0 ;
> array_y_init[0 + 1] := exact_soln_y(x_start);
> glob_look_poles := true;
> glob_max_iter := 1000000;
> glob_display_interval := 0.1;
> glob_max_minutes := 10;
> #END SECOND INPUT BLOCK
> #BEGIN OVERRIDE BLOCK
> glob_desired_digits_correct:=10;
> glob_display_interval:=0.001;
> glob_look_poles:=true;
> glob_max_iter:=10000000;
> glob_max_minutes:=3;
> glob_subiter_method:=3;
> #END OVERRIDE BLOCK
> #END SECOND INPUT BLOCK
> #BEGIN INITS AFTER SECOND INPUT BLOCK
> glob_last_good_h := glob_h;
> glob_max_terms := max_terms;
> glob_max_sec := convfloat(60.0) * convfloat(glob_max_minutes) + convfloat(3600.0) * convfloat(glob_max_hours);
> glob_abserr := expt(10.0 , (glob_log10_abserr));
> glob_relerr := expt(10.0 , (glob_log10_relerr));
> if (glob_h > 0.0) then # if number 1
> glob_neg_h := false;
> glob_display_interval := omniabs(glob_display_interval);
> else
> glob_neg_h := true;
> glob_display_interval := -omniabs(glob_display_interval);
> fi;# end if 1;
> chk_data();
> #AFTER INITS AFTER SECOND INPUT BLOCK
> array_y_set_initial[1,1] := true;
> array_y_set_initial[1,2] := false;
> array_y_set_initial[1,3] := false;
> array_y_set_initial[1,4] := false;
> array_y_set_initial[1,5] := false;
> array_y_set_initial[1,6] := false;
> array_y_set_initial[1,7] := false;
> array_y_set_initial[1,8] := false;
> array_y_set_initial[1,9] := false;
> array_y_set_initial[1,10] := false;
> array_y_set_initial[1,11] := false;
> array_y_set_initial[1,12] := false;
> array_y_set_initial[1,13] := false;
> array_y_set_initial[1,14] := false;
> array_y_set_initial[1,15] := false;
> array_y_set_initial[1,16] := false;
> array_y_set_initial[1,17] := false;
> array_y_set_initial[1,18] := false;
> array_y_set_initial[1,19] := false;
> array_y_set_initial[1,20] := false;
> array_y_set_initial[1,21] := false;
> array_y_set_initial[1,22] := false;
> array_y_set_initial[1,23] := false;
> array_y_set_initial[1,24] := false;
> array_y_set_initial[1,25] := false;
> array_y_set_initial[1,26] := false;
> array_y_set_initial[1,27] := false;
> array_y_set_initial[1,28] := false;
> array_y_set_initial[1,29] := false;
> array_y_set_initial[1,30] := false;
> #BEGIN OPTIMIZE CODE
> omniout_str(ALWAYS,"START of Optimize");
> #Start Series -- INITIALIZE FOR OPTIMIZE
> glob_check_sign := check_sign(x_start,x_end);
> glob_h := check_sign(x_start,x_end);
> if (glob_display_interval < glob_h) then # if number 2
> glob_h := glob_display_interval;
> fi;# end if 2;
> found_h := -1.0;
> best_h := 0.0;
> min_value := glob_large_float;
> est_answer := est_size_answer();
> opt_iter := 1;
> while ((opt_iter <= 20) and (found_h < 0.0)) do # do number 2
> omniout_int(ALWAYS,"opt_iter",32,opt_iter,4,"");
> array_x[1] := x_start;
> array_x[2] := glob_h;
> glob_next_display := x_start;
> order_diff := 1;
> #Start Series array_y
> term_no := 1;
> while (term_no <= order_diff) do # do number 3
> array_y[term_no] := array_y_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 3;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 3
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 4
> it := term_no + r_order - 1;
> array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 4;
> r_order := r_order + 1;
> od;# end do number 3
> ;
> atomall();
> est_needed_step_err := estimated_needed_step_error(x_start,x_end,glob_h,est_answer);
> omniout_float(ALWAYS,"est_needed_step_err",32,est_needed_step_err,16,"");
> value3 := test_suggested_h();
> omniout_float(ALWAYS,"value3",32,value3,32,"");
> if ((value3 < est_needed_step_err) and (found_h < 0.0)) then # if number 2
> best_h := glob_h;
> found_h := 1.0;
> fi;# end if 2;
> omniout_float(ALWAYS,"best_h",32,best_h,32,"");
> opt_iter := opt_iter + 1;
> glob_h := glob_h * 0.5;
> od;# end do number 2;
> if (found_h > 0.0) then # if number 2
> glob_h := best_h ;
> else
> omniout_str(ALWAYS,"No increment to obtain desired accuracy found");
> fi;# end if 2;
> #END OPTIMIZE CODE
> if (glob_html_log) then # if number 2
> html_log_file := fopen("html/entry.html",WRITE,TEXT);
> fi;# end if 2;
> #BEGIN SOLUTION CODE
> if (found_h > 0.0) then # if number 2
> omniout_str(ALWAYS,"START of Soultion");
> #Start Series -- INITIALIZE FOR SOLUTION
> array_x[1] := x_start;
> array_x[2] := glob_h;
> glob_next_display := x_start;
> order_diff := 1;
> #Start Series array_y
> term_no := 1;
> while (term_no <= order_diff) do # do number 2
> array_y[term_no] := array_y_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 2;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 2
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 3
> it := term_no + r_order - 1;
> array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 3;
> r_order := r_order + 1;
> od;# end do number 2
> ;
> current_iter := 1;
> glob_clock_start_sec := elapsed_time_seconds();
> glob_log10normmin := -glob_large_float ;
> if (omniabs(array_y_higher[1,1]) > glob_small_float) then # if number 3
> tmp := omniabs(array_y_higher[1,1]);
> log10norm := (log10(tmp));
> if (log10norm < glob_log10normmin) then # if number 4
> glob_log10normmin := log10norm;
> fi;# end if 4
> fi;# end if 3;
> display_alot(current_iter)
> ;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := 0;
> glob_iter := 0;
> omniout_str(DEBUGL," ");
> glob_reached_optimal_h := true;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> while ((glob_current_iter < glob_max_iter) and ((glob_check_sign * array_x[1]) < (glob_check_sign * x_end )) and ((convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec)) < convfloat(glob_max_sec))) do # do number 2
> #left paren 0001C
> if (reached_interval()) then # if number 3
> omniout_str(INFO," ");
> omniout_str(INFO,"TOP MAIN SOLVE Loop");
> fi;# end if 3;
> glob_iter := glob_iter + 1;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := glob_current_iter + 1;
> atomall();
> display_alot(current_iter);
> if (glob_look_poles) then # if number 3
> #left paren 0004C
> check_for_pole();
> fi;# end if 3;#was right paren 0004C
> if (reached_interval()) then # if number 3
> glob_next_display := glob_next_display + glob_display_interval;
> fi;# end if 3;
> array_x[1] := array_x[1] + glob_h;
> array_x[2] := glob_h;
> #Jump Series array_y;
> order_diff := 2;
> #START PART 1 SUM AND ADJUST
> #START SUM AND ADJUST EQ =1
> #sum_and_adjust array_y
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 2;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[2,iii] := array_y_higher[2,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 2;
> calc_term := 1;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 2;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 2;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 1;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #END SUM AND ADJUST EQ =1
> #END PART 1
> #START PART 2 MOVE TERMS to REGULAR Array
> term_no := glob_max_terms;
> while (term_no >= 1) do # do number 3
> array_y[term_no] := array_y_higher_work2[1,term_no];
> ord := 1;
> while (ord <= order_diff) do # do number 4
> array_y_higher[ord,term_no] := array_y_higher_work2[ord,term_no];
> ord := ord + 1;
> od;# end do number 4;
> term_no := term_no - 1;
> od;# end do number 3;
> #END PART 2 HEVE MOVED TERMS to REGULAR Array
> ;
> od;# end do number 2;#right paren 0001C
> omniout_str(ALWAYS,"Finished!");
> if (glob_iter >= glob_max_iter) then # if number 3
> omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!");
> fi;# end if 3;
> if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 3
> omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!");
> fi;# end if 3;
> glob_clock_sec := elapsed_time_seconds();
> omniout_str(INFO,"diff ( y , x , 1 ) = cos(sqrt(2.0*x + 3.0));");
> omniout_int(INFO,"Iterations ",32,glob_iter,4," ")
> ;
> prog_report(x_start,x_end);
> if (glob_html_log) then # if number 3
> logstart(html_log_file);
> logitem_str(html_log_file,"2013-01-12T21:19:18-06:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> logitem_str(html_log_file,"cos_sqrt_lin")
> ;
> logitem_str(html_log_file,"diff ( y , x , 1 ) = cos(sqrt(2.0*x + 3.0));")
> ;
> logitem_float(html_log_file,x_start)
> ;
> logitem_float(html_log_file,x_end)
> ;
> logitem_float(html_log_file,array_x[1])
> ;
> logitem_float(html_log_file,glob_h)
> ;
> logitem_integer(html_log_file,Digits)
> ;
> ;
> logitem_good_digits(html_log_file,array_last_rel_error[1])
> ;
> logitem_integer(html_log_file,glob_max_terms)
> ;
> logitem_float(html_log_file,array_1st_rel_error[1])
> ;
> logitem_float(html_log_file,array_last_rel_error[1])
> ;
> logitem_integer(html_log_file,glob_iter)
> ;
> logitem_pole(html_log_file,array_type_pole[1])
> ;
> if (array_type_pole[1] = 1 or array_type_pole[1] = 2) then # if number 4
> logitem_float(html_log_file,array_pole[1])
> ;
> logitem_float(html_log_file,array_pole[2])
> ;
> 0;
> else
> logitem_str(html_log_file,"NA")
> ;
> logitem_str(html_log_file,"NA")
> ;
> 0;
> fi;# end if 4;
> logitem_time(html_log_file,convfloat(glob_clock_sec))
> ;
> if (glob_percent_done < 100.0) then # if number 4
> logitem_time(html_log_file,convfloat(glob_total_exp_sec))
> ;
> 0;
> else
> logitem_str(html_log_file,"Done")
> ;
> 0;
> fi;# end if 4;
> log_revs(html_log_file," 156 | ")
> ;
> logitem_str(html_log_file,"cos_sqrt_lin diffeq.mxt")
> ;
> logitem_str(html_log_file,"cos_sqrt_lin maple results")
> ;
> logitem_str(html_log_file,"Languages compared - single equations")
> ;
> logend(html_log_file)
> ;
> ;
> fi;# end if 3;
> if (glob_html_log) then # if number 3
> fclose(html_log_file);
> fi;# end if 3
> ;
> ;;
> fi;# end if 2
> #END OUTFILEMAIN
> end;
main := proc()
local d1, d2, d3, d4, est_err_2, niii, done_once, term, ord, order_diff,
term_no, html_log_file, iiif, jjjf, rows, r_order, sub_iter, calc_term, iii,
temp_sum, current_iter, x_start, x_end, it, log10norm, max_terms, opt_iter,
tmp, subiter, est_needed_step_err, value3, min_value, est_answer, best_h,
found_h, repeat_it;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_3D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, 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/cos_sqrt_linpostode.ode#################");
omniout_str(ALWAYS, "diff ( y , x , 1 ) = cos(sqrt(2.0*x + 3.0));");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK");
omniout_str(ALWAYS, "Digits:=32;");
omniout_str(ALWAYS, "max_terms:=30;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#END FIRST INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK");
omniout_str(ALWAYS, "x_start := -1.0;");
omniout_str(ALWAYS, "x_end := 5.0 ;");
omniout_str(ALWAYS, "array_y_init[0 + 1] := exact_soln_y(x_start);");
omniout_str(ALWAYS, "glob_look_poles := true;");
omniout_str(ALWAYS, "glob_max_iter := 1000000;");
omniout_str(ALWAYS, "glob_display_interval := 0.1;");
omniout_str(ALWAYS, "glob_max_minutes := 10;");
omniout_str(ALWAYS, "#END SECOND INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK");
omniout_str(ALWAYS, "glob_desired_digits_correct:=10;");
omniout_str(ALWAYS, "glob_display_interval:=0.001;");
omniout_str(ALWAYS, "glob_look_poles:=true;");
omniout_str(ALWAYS, "glob_max_iter:=10000000;");
omniout_str(ALWAYS, "glob_max_minutes:=3;");
omniout_str(ALWAYS, "glob_subiter_method:=3;");
omniout_str(ALWAYS, "#END OVERRIDE BLOCK");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN USER DEF BLOCK");
omniout_str(ALWAYS, "exact_soln_y := proc(x)");
omniout_str(ALWAYS, "return(cos(sqrt(2.0*x+3.0))+sqrt(2.0*x+3.0)*sin(\
sqrt(2.0*x+3.0)));");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "#END USER DEF BLOCK");
omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################");
glob_unchanged_h_cnt := 0;
glob_warned := false;
glob_warned2 := false;
glob_small_float := 0.10*10^(-199);
glob_smallish_float := 0.10*10^(-63);
glob_large_float := 0.10*10^101;
glob_almost_1 := 0.99;
glob_log10_abserr := -8.0;
glob_log10_relerr := -8.0;
glob_hmax := 0.01;
Digits := 32;
max_terms := 30;
glob_max_terms := max_terms;
glob_html_log := true;
array_y_init := Array(0 .. max_terms + 1, []);
array_norms := Array(0 .. max_terms + 1, []);
array_fact_1 := Array(0 .. max_terms + 1, []);
array_pole := Array(0 .. max_terms + 1, []);
array_1st_rel_error := Array(0 .. max_terms + 1, []);
array_last_rel_error := Array(0 .. max_terms + 1, []);
array_type_pole := Array(0 .. max_terms + 1, []);
array_y := Array(0 .. max_terms + 1, []);
array_x := Array(0 .. max_terms + 1, []);
array_tmp0 := Array(0 .. max_terms + 1, []);
array_tmp1 := 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_2D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_2D0[term] := 0.; term := term + 1
end do;
array_const_2D0[1] := 2.0;
array_const_3D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_3D0[term] := 0.; term := term + 1
end do;
array_const_3D0[1] := 3.0;
array_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
array_m1[1] := -1.0;
iiif := 0;
while iiif <= glob_max_terms do
jjjf := 0;
while jjjf <= glob_max_terms do
array_fact_1[iiif] := 0;
array_fact_2[iiif, jjjf] := 0;
jjjf := jjjf + 1
end do;
iiif := iiif + 1
end do;
x_start := -1.0;
x_end := 5.0;
array_y_init[1] := exact_soln_y(x_start);
glob_look_poles := true;
glob_max_iter := 1000000;
glob_display_interval := 0.1;
glob_max_minutes := 10;
glob_desired_digits_correct := 10;
glob_display_interval := 0.001;
glob_look_poles := true;
glob_max_iter := 10000000;
glob_max_minutes := 3;
glob_subiter_method := 3;
glob_last_good_h := glob_h;
glob_max_terms := max_terms;
glob_max_sec := convfloat(60.0)*convfloat(glob_max_minutes)
+ convfloat(3600.0)*convfloat(glob_max_hours);
glob_abserr := expt(10.0, glob_log10_abserr);
glob_relerr := expt(10.0, glob_log10_relerr);
if 0. < glob_h then
glob_neg_h := false;
glob_display_interval := omniabs(glob_display_interval)
else
glob_neg_h := true;
glob_display_interval := -omniabs(glob_display_interval)
end if;
chk_data();
array_y_set_initial[1, 1] := true;
array_y_set_initial[1, 2] := false;
array_y_set_initial[1, 3] := false;
array_y_set_initial[1, 4] := false;
array_y_set_initial[1, 5] := false;
array_y_set_initial[1, 6] := false;
array_y_set_initial[1, 7] := false;
array_y_set_initial[1, 8] := false;
array_y_set_initial[1, 9] := false;
array_y_set_initial[1, 10] := false;
array_y_set_initial[1, 11] := false;
array_y_set_initial[1, 12] := false;
array_y_set_initial[1, 13] := false;
array_y_set_initial[1, 14] := false;
array_y_set_initial[1, 15] := false;
array_y_set_initial[1, 16] := false;
array_y_set_initial[1, 17] := false;
array_y_set_initial[1, 18] := false;
array_y_set_initial[1, 19] := false;
array_y_set_initial[1, 20] := false;
array_y_set_initial[1, 21] := false;
array_y_set_initial[1, 22] := false;
array_y_set_initial[1, 23] := false;
array_y_set_initial[1, 24] := false;
array_y_set_initial[1, 25] := false;
array_y_set_initial[1, 26] := false;
array_y_set_initial[1, 27] := false;
array_y_set_initial[1, 28] := false;
array_y_set_initial[1, 29] := false;
array_y_set_initial[1, 30] := false;
omniout_str(ALWAYS, "START of Optimize");
glob_check_sign := check_sign(x_start, x_end);
glob_h := check_sign(x_start, x_end);
if glob_display_interval < glob_h then glob_h := glob_display_interval
end if;
found_h := -1.0;
best_h := 0.;
min_value := glob_large_float;
est_answer := est_size_answer();
opt_iter := 1;
while opt_iter <= 20 and found_h < 0. do
omniout_int(ALWAYS, "opt_iter", 32, opt_iter, 4, "");
array_x[1] := x_start;
array_x[2] := glob_h;
glob_next_display := x_start;
order_diff := 1;
term_no := 1;
while term_no <= order_diff do
array_y[term_no] := array_y_init[term_no]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_y_higher[r_order, term_no] := array_y_init[it]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
atomall();
est_needed_step_err :=
estimated_needed_step_error(x_start, x_end, glob_h, est_answer)
;
omniout_float(ALWAYS, "est_needed_step_err", 32,
est_needed_step_err, 16, "");
value3 := test_suggested_h();
omniout_float(ALWAYS, "value3", 32, value3, 32, "");
if value3 < est_needed_step_err and found_h < 0. then
best_h := glob_h; found_h := 1.0
end if;
omniout_float(ALWAYS, "best_h", 32, best_h, 32, "");
opt_iter := opt_iter + 1;
glob_h := glob_h*0.5
end do;
if 0. < found_h then glob_h := best_h
else omniout_str(ALWAYS,
"No increment to obtain desired accuracy found")
end if;
if glob_html_log then
html_log_file := fopen("html/entry.html", WRITE, TEXT)
end if;
if 0. < found_h then
omniout_str(ALWAYS, "START of Soultion");
array_x[1] := x_start;
array_x[2] := glob_h;
glob_next_display := x_start;
order_diff := 1;
term_no := 1;
while term_no <= order_diff do
array_y[term_no] := array_y_init[term_no]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_y_higher[r_order, term_no] := array_y_init[it]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
current_iter := 1;
glob_clock_start_sec := elapsed_time_seconds();
glob_log10normmin := -glob_large_float;
if glob_small_float < omniabs(array_y_higher[1, 1]) then
tmp := omniabs(array_y_higher[1, 1]);
log10norm := log10(tmp);
if log10norm < glob_log10normmin then
glob_log10normmin := log10norm
end if
end if;
display_alot(current_iter);
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := 0;
glob_iter := 0;
omniout_str(DEBUGL, " ");
glob_reached_optimal_h := true;
glob_optimal_clock_start_sec := elapsed_time_seconds();
while glob_current_iter < glob_max_iter and
glob_check_sign*array_x[1] < glob_check_sign*x_end and
convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) <
convfloat(glob_max_sec) do
if reached_interval() then
omniout_str(INFO, " ");
omniout_str(INFO, "TOP MAIN SOLVE Loop")
end if;
glob_iter := glob_iter + 1;
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := glob_current_iter + 1;
atomall();
display_alot(current_iter);
if glob_look_poles then check_for_pole() end if;
if reached_interval() then glob_next_display :=
glob_next_display + glob_display_interval
end if;
array_x[1] := array_x[1] + glob_h;
array_x[2] := glob_h;
order_diff := 2;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[2, iii] := array_y_higher[2, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
term_no := glob_max_terms;
while 1 <= term_no do
array_y[term_no] := array_y_higher_work2[1, term_no];
ord := 1;
while ord <= order_diff do
array_y_higher[ord, term_no] :=
array_y_higher_work2[ord, term_no];
ord := ord + 1
end do;
term_no := term_no - 1
end do
end do;
omniout_str(ALWAYS, "Finished!");
if glob_max_iter <= glob_iter then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!")
end if;
if convfloat(glob_max_sec) <=
elapsed_time_seconds() - convfloat(glob_orig_start_sec) then
omniout_str(ALWAYS,
"Maximum Time Reached before Solution Completed!")
end if;
glob_clock_sec := elapsed_time_seconds();
omniout_str(INFO, "diff ( y , x , 1 ) = cos(sqrt(2.0*x + 3.0));");
omniout_int(INFO, "Iterations ", 32,
glob_iter, 4, " ");
prog_report(x_start, x_end);
if glob_html_log then
logstart(html_log_file);
logitem_str(html_log_file, "2013-01-12T21:19:18-06:00");
logitem_str(html_log_file, "Maple");
logitem_str(html_log_file,
"cos_sqrt_lin");
logitem_str(html_log_file,
"diff ( y , x , 1 ) = cos(sqrt(2.0*x + 3.0));");
logitem_float(html_log_file, x_start);
logitem_float(html_log_file, x_end);
logitem_float(html_log_file, array_x[1]);
logitem_float(html_log_file, glob_h);
logitem_integer(html_log_file, Digits);
logitem_good_digits(html_log_file, array_last_rel_error[1]);
logitem_integer(html_log_file, glob_max_terms);
logitem_float(html_log_file, array_1st_rel_error[1]);
logitem_float(html_log_file, array_last_rel_error[1]);
logitem_integer(html_log_file, glob_iter);
logitem_pole(html_log_file, array_type_pole[1]);
if array_type_pole[1] = 1 or array_type_pole[1] = 2 then
logitem_float(html_log_file, array_pole[1]);
logitem_float(html_log_file, array_pole[2]);
0
else
logitem_str(html_log_file, "NA");
logitem_str(html_log_file, "NA");
0
end if;
logitem_time(html_log_file, convfloat(glob_clock_sec));
if glob_percent_done < 100.0 then
logitem_time(html_log_file, convfloat(glob_total_exp_sec));
0
else logitem_str(html_log_file, "Done"); 0
end if;
log_revs(html_log_file, " 156 | ");
logitem_str(html_log_file, "cos_sqrt_lin diffeq.mxt");
logitem_str(html_log_file, "cos_sqrt_lin 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/cos_sqrt_linpostode.ode#################
diff ( y , x , 1 ) = cos(sqrt(2.0*x + 3.0));
!
#BEGIN FIRST INPUT BLOCK
Digits:=32;
max_terms:=30;
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start := -1.0;
x_end := 5.0 ;
array_y_init[0 + 1] := exact_soln_y(x_start);
glob_look_poles := true;
glob_max_iter := 1000000;
glob_display_interval := 0.1;
glob_max_minutes := 10;
#END SECOND INPUT BLOCK
#BEGIN OVERRIDE BLOCK
glob_desired_digits_correct:=10;
glob_display_interval:=0.001;
glob_look_poles:=true;
glob_max_iter:=10000000;
glob_max_minutes:=3;
glob_subiter_method:=3;
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
exact_soln_y := proc(x)
return(cos(sqrt(2.0*x+3.0))+sqrt(2.0*x+3.0)*sin(sqrt(2.0*x+3.0)));
end;
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Optimize
min_size = 0
min_size = 1
opt_iter = 1
glob_desired_digits_correct = 10
desired_abs_gbl_error = 1.0000000000000000000000000000000e-10
range = 6
estimated_steps = 6000
step_error = 1.6666666666666666666666666666667e-14
est_needed_step_err = 1.6666666666666666666666666666667e-14
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
value3 = 4.6145358669108669108669108669109e-107
max_value3 = 4.6145358669108669108669108669109e-107
value3 = 4.6145358669108669108669108669109e-107
best_h = 0.001
START of Soultion
x[1] = -1
y[1] (analytic) = 1.3817732906760362240534389290733
y[1] (numeric) = 1.3817732906760362240534389290733
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
x[1] = -1
y[1] (analytic) = 1.3817732906760362240534389290733
y[1] (numeric) = 1.3817732906760362240534389290733
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.999
y[1] (analytic) = 1.3823131722966041549270989688663
y[1] (numeric) = 1.3823131722966041549270989688663
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=3.8MB, alloc=2.8MB, time=0.12
x[1] = -0.998
y[1] (analytic) = 1.3828522127473197719818940658871
y[1] (numeric) = 1.3828522127473197719818940658871
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.997
y[1] (analytic) = 1.3833904123292587128370321162966
y[1] (numeric) = 1.3833904123292587128370321162966
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.996
y[1] (analytic) = 1.3839277713434345980706814966295
y[1] (numeric) = 1.3839277713434345980706814966295
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.995
y[1] (analytic) = 1.3844642900907990402240249499006
y[1] (numeric) = 1.3844642900907990402240249499006
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.994
y[1] (analytic) = 1.3849999688722416528043027335519
y[1] (numeric) = 1.3849999688722416528043027335519
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=7.6MB, alloc=3.8MB, time=0.27
x[1] = -0.993
y[1] (analytic) = 1.3855348079885900592868451217776
y[1] (numeric) = 1.3855348079885900592868451217776
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.992
y[1] (analytic) = 1.3860688077406099021160943547545
y[1] (numeric) = 1.3860688077406099021160943547545
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.991
y[1] (analytic) = 1.3866019684290048517056161273007
y[1] (numeric) = 1.3866019684290048517056161273007
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.99
y[1] (analytic) = 1.3871342903544166154371007094768
y[1] (numeric) = 1.3871342903544166154371007094768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.989
y[1] (analytic) = 1.3876657738174249466583537916374
y[1] (numeric) = 1.3876657738174249466583537916374
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=11.4MB, alloc=4.0MB, time=0.41
x[1] = -0.988
y[1] (analytic) = 1.3881964191185476536802771464327
y[1] (numeric) = 1.3881964191185476536802771464327
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.987
y[1] (analytic) = 1.3887262265582406087728392002539
y[1] (numeric) = 1.3887262265582406087728392002539
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.986
y[1] (analytic) = 1.3892551964368977571600356066081
y[1] (numeric) = 1.3892551964368977571600356066081
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.985
y[1] (analytic) = 1.3897833290548511260138399139021
y[1] (numeric) = 1.3897833290548511260138399139021
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.984
y[1] (analytic) = 1.3903106247123708334471444201061
y[1] (numeric) = 1.3903106247123708334471444201061
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) = 1.3908370837096650975056913067624
y[1] (numeric) = 1.3908370837096650975056913067624
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=15.2MB, alloc=4.1MB, time=0.56
x[1] = -0.982
y[1] (analytic) = 1.3913627063468802451589941447964
y[1] (numeric) = 1.3913627063468802451589941447963
absolute error = 1e-31
relative error = 7.1871985316148777178357607118270e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.981
y[1] (analytic) = 1.3918874929241007212902498645799
y[1] (numeric) = 1.3918874929241007212902498645799
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.98
y[1] (analytic) = 1.3924114437413490976852412826912
y[1] (numeric) = 1.3924114437413490976852412826911
absolute error = 1e-31
relative error = 7.1817852725559581374551270479963e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.979
y[1] (analytic) = 1.3929345590985860820202302778048
y[1] (numeric) = 1.3929345590985860820202302778048
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.978
y[1] (analytic) = 1.3934568392957105268488417081443
y[1] (numeric) = 1.3934568392957105268488417081442
absolute error = 1e-31
relative error = 7.1763973723465027625062827008551e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=19.0MB, alloc=4.1MB, time=0.71
x[1] = -0.977
y[1] (analytic) = 1.3939782846325594385879381629148
y[1] (numeric) = 1.3939782846325594385879381629147
absolute error = 1e-31
relative error = 7.1737128979996364108713038496709e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.976
y[1] (analytic) = 1.3944988954089079865024856401343
y[1] (numeric) = 1.3944988954089079865024856401343
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.975
y[1] (analytic) = 1.3950186719244695116894102432682
y[1] (numeric) = 1.3950186719244695116894102432681
absolute error = 1e-31
relative error = 7.1683628335989971216738058955267e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.974
y[1] (analytic) = 1.3955376144788955360604459890678
y[1] (numeric) = 1.3955376144788955360604459890678
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.973
y[1] (analytic) = 1.3960557233717757713239738190078
y[1] (numeric) = 1.3960557233717757713239738190077
absolute error = 1e-31
relative error = 7.1630378591535318500251365383045e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.972
y[1] (analytic) = 1.3965729989026381279658519067054
y[1] (numeric) = 1.3965729989026381279658519067053
absolute error = 1e-31
relative error = 7.1603847474192421097305620091003e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=22.8MB, alloc=4.2MB, time=0.86
x[1] = -0.971
y[1] (analytic) = 1.3970894413709487242292373537032
y[1] (numeric) = 1.3970894413709487242292373537031
absolute error = 1e-31
relative error = 7.1577378683694784787662289048178e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.97
y[1] (analytic) = 1.3976050510761118950933993659855
y[1] (numeric) = 1.3976050510761118950933993659854
absolute error = 1e-31
relative error = 7.1550972088289998544506781030901e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.969
y[1] (analytic) = 1.3981198283174702012515240035925
y[1] (numeric) = 1.3981198283174702012515240035925
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) = 1.3986337733943044380875105956917
y[1] (numeric) = 1.3986337733943044380875105956917
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.967
y[1] (analytic) = 1.3991468866058336446517599134539
y[1] (numeric) = 1.3991468866058336446517599134539
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=26.7MB, alloc=4.2MB, time=1.02
x[1] = -0.966
y[1] (analytic) = 1.3996591682512151126359541930794
y[1] (numeric) = 1.3996591682512151126359541930794
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.965
y[1] (analytic) = 1.400170618629544395346829101309
y[1] (numeric) = 1.400170618629544395346829101309
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.964
y[1] (analytic) = 1.400681238039855316678937735749
y[1] (numeric) = 1.4006812380398553166789377357489
absolute error = 1e-31
relative error = 7.1393831290224347422154486487071e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.963
y[1] (analytic) = 1.4011910267811199800864067523315
y[1] (numeric) = 1.4011910267811199800864067523314
absolute error = 1e-31
relative error = 7.1367856408361797075547996367539e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.962
y[1] (analytic) = 1.4016999851522487775536847122257
y[1] (numeric) = 1.4016999851522487775536847122256
absolute error = 1e-31
relative error = 7.1341942683361216157930695552132e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.961
y[1] (analytic) = 1.4022081134520903985652827405057
y[1] (numeric) = 1.4022081134520903985652827405056
absolute error = 1e-31
relative error = 7.1316089987391679321629004098746e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=30.5MB, alloc=4.2MB, time=1.17
x[1] = -0.96
y[1] (analytic) = 1.4027154119794318390745075888768
y[1] (numeric) = 1.4027154119794318390745075888766
absolute error = 2e-31
relative error = 1.4258059638609903621086182710409e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.959
y[1] (analytic) = 1.4032218810329984104711871947522
y[1] (numeric) = 1.4032218810329984104711871947521
absolute error = 1e-31
relative error = 7.1264567173356657884357836945146e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.958
y[1] (analytic) = 1.4037275209114537485483888289674
y[1] (numeric) = 1.4037275209114537485483888289673
absolute error = 1e-31
relative error = 7.1238896801758962784732584841834e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.957
y[1] (analytic) = 1.4042323319133998224681299244092
y[1] (numeric) = 1.404232331913399822468129924409
absolute error = 2e-31
relative error = 1.4242657390424917704099978835443e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.956
y[1] (analytic) = 1.4047363143373769437260816778327
y[1] (numeric) = 1.4047363143373769437260816778325
absolute error = 2e-31
relative error = 1.4237547499748468621407010918021e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=34.3MB, alloc=4.2MB, time=1.32
x[1] = -0.955
y[1] (analytic) = 1.4052394684818637751152655171305
y[1] (numeric) = 1.4052394684818637751152655171304
absolute error = 1e-31
relative error = 7.1162248316320055408953309187928e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.954
y[1] (analytic) = 1.405741794645277339688742526311
y[1] (numeric) = 1.4057417946452773396887425263109
absolute error = 1e-31
relative error = 7.1136819279982951478707868935871e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.953
y[1] (analytic) = 1.4062432931259730297212959204358
y[1] (numeric) = 1.4062432931259730297212959204357
absolute error = 1e-31
relative error = 7.1111450265272038643037587671906e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.952
y[1] (analytic) = 1.4067439642222446156701066627611
y[1] (numeric) = 1.406743964222244615670106662761
absolute error = 1e-31
relative error = 7.1086141148142497294596613538608e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.951
y[1] (analytic) = 1.4072438082323242551344223163168
y[1] (numeric) = 1.4072438082323242551344223163167
absolute error = 1e-31
relative error = 7.1060891804962080346367677678436e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.95
y[1] (analytic) = 1.407742825454382501814219222154
y[1] (numeric) = 1.407742825454382501814219222154
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=38.1MB, alloc=4.3MB, time=1.47
x[1] = -0.949
y[1] (analytic) = 1.4082410161865283144678580964819
y[1] (numeric) = 1.4082410161865283144678580964819
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.948
y[1] (analytic) = 1.4087383807268090658687331389083
y[1] (numeric) = 1.4087383807268090658687331389082
absolute error = 1e-31
relative error = 7.0985501188948294424005573363799e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.947
y[1] (analytic) = 1.4092349193732105517609147439919
y[1] (numeric) = 1.4092349193732105517609147439918
absolute error = 1e-31
relative error = 7.0960489713437761103919380108945e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.946
y[1] (analytic) = 1.4097306324236569998137859083067
y[1] (numeric) = 1.4097306324236569998137859083067
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.945
y[1] (analytic) = 1.4102255201760110785756724252115
y[1] (numeric) = 1.4102255201760110785756724252115
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=41.9MB, alloc=4.3MB, time=1.63
x[1] = -0.944
y[1] (analytic) = 1.4107195829280739064264669595097
y[1] (numeric) = 1.4107195829280739064264669595097
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.943
y[1] (analytic) = 1.4112128209775850605292470941806
y[1] (numeric) = 1.4112128209775850605292470941805
absolute error = 1e-31
relative error = 7.0861034220711877866996934722245e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.942
y[1] (analytic) = 1.4117052346222225857808874413513
y[1] (numeric) = 1.4117052346222225857808874413512
absolute error = 1e-31
relative error = 7.0836317346914393782864867892767e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.941
y[1] (analytic) = 1.4121968241596030037616659096763
y[1] (numeric) = 1.4121968241596030037616659096763
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.94
y[1] (analytic) = 1.4126875898872813216838642202808
y[1] (numeric) = 1.4126875898872813216838642202807
absolute error = 1e-31
relative error = 7.0787059160036242514458131418783e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.939
y[1] (analytic) = 1.413177532102751041339362763418
y[1] (numeric) = 1.413177532102751041339362763418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=45.7MB, alloc=4.3MB, time=1.78
x[1] = -0.938
y[1] (analytic) = 1.4136666511034441680462298879858
y[1] (numeric) = 1.4136666511034441680462298879858
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.937
y[1] (analytic) = 1.414154947186731219594305716036
y[1] (numeric) = 1.4141549471867312195943057160359
absolute error = 1e-31
relative error = 7.0713608999449733954519680239494e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.936
y[1] (analytic) = 1.4146424206499212351897805744073
y[1] (numeric) = 1.4146424206499212351897805744073
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.935
y[1] (analytic) = 1.4151290717902617843987681356039
y[1] (numeric) = 1.4151290717902617843987681356039
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.934
y[1] (analytic) = 1.4156149009049389760898733600325
y[1] (numeric) = 1.4156149009049389760898733600325
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.933
y[1] (analytic) = 1.4160999082910774673757553317082
y[1] (numeric) = 1.4160999082910774673757553317081
absolute error = 1e-31
relative error = 7.0616486460110081418222110120873e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=49.5MB, alloc=4.3MB, time=1.94
TOP MAIN SOLVE Loop
x[1] = -0.932
y[1] (analytic) = 1.4165840942457404725536850795271
y[1] (numeric) = 1.4165840942457404725536850795271
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.931
y[1] (analytic) = 1.4170674590659297720450984762017
y[1] (numeric) = 1.4170674590659297720450984762017
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.93
y[1] (analytic) = 1.4175500030485857213341443069425
y[1] (numeric) = 1.4175500030485857213341443069425
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.929
y[1] (analytic) = 1.4180317264905872599052275999676
y[1] (numeric) = 1.4180317264905872599052275999676
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.928
y[1] (analytic) = 1.4185126296887519201795483109105
y[1] (numeric) = 1.4185126296887519201795483109105
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=53.4MB, alloc=4.3MB, time=2.09
x[1] = -0.927
y[1] (analytic) = 1.4189927129398358364506354531919
y[1] (numeric) = 1.4189927129398358364506354531919
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.926
y[1] (analytic) = 1.4194719765405337538188767664132
y[1] (numeric) = 1.4194719765405337538188767664132
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.925
y[1] (analytic) = 1.4199504207874790371250440148217
y[1] (numeric) = 1.4199504207874790371250440148217
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.924
y[1] (analytic) = 1.4204280459772436798828140078923
y[1] (numeric) = 1.4204280459772436798828140078922
absolute error = 1e-31
relative error = 7.0401313380996192202732864810516e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.923
y[1] (analytic) = 1.4209048524063383132102854350605
y[1] (numeric) = 1.4209048524063383132102854350604
absolute error = 1e-31
relative error = 7.0377689139879753544020860970876e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.922
y[1] (analytic) = 1.4213808403712122147604916066378
y[1] (numeric) = 1.4213808403712122147604916066377
absolute error = 1e-31
relative error = 7.0354121259917708493648865607138e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=57.2MB, alloc=4.3MB, time=2.24
x[1] = -0.921
y[1] (analytic) = 1.42185601016825331765090919293
y[1] (numeric) = 1.4218560101682533176509091929299
absolute error = 1e-31
relative error = 7.0330609629147076290436064747020e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.92
y[1] (analytic) = 1.4223303620937882193919630535745
y[1] (numeric) = 1.4223303620937882193919630535744
absolute error = 1e-31
relative error = 7.0307154135971413090787237591173e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.919
y[1] (analytic) = 1.422803896444082190814527249104
y[1] (numeric) = 1.4228038964440821908145272491039
absolute error = 1e-31
relative error = 7.0283754669159435762360970481989e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.918
y[1] (analytic) = 1.4232766135153391849964223267382
y[1] (numeric) = 1.423276613515339184996422326738
absolute error = 2e-31
relative error = 1.4052082223568730416146714577332e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.917
y[1] (analytic) = 1.4237485136037018461879089723956
y[1] (numeric) = 1.4237485136037018461879089723955
absolute error = 1e-31
relative error = 7.0237123371518997294774383959136e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=61.0MB, alloc=4.3MB, time=2.40
x[1] = -0.916
y[1] (analytic) = 1.4242195970052515187361781209145
y[1] (numeric) = 1.4242195970052515187361781209144
absolute error = 1e-31
relative error = 7.0213891320041477026658851576359e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.915
y[1] (analytic) = 1.4246898640160082560088376164594
y[1] (numeric) = 1.4246898640160082560088376164593
absolute error = 1e-31
relative error = 7.0190714853626816472655006392713e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.914
y[1] (analytic) = 1.4251593149319308293163955150884
y[1] (numeric) = 1.4251593149319308293163955150883
absolute error = 1e-31
relative error = 7.0167593862849115871026752551292e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.913
y[1] (analytic) = 1.4256279500489167368337401214444
y[1] (numeric) = 1.4256279500489167368337401214442
absolute error = 2e-31
relative error = 1.4028905647727902440720753053421e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.912
y[1] (analytic) = 1.4260957696628022125206168515294
y[1] (numeric) = 1.4260957696628022125206168515292
absolute error = 2e-31
relative error = 1.4024303574456969419554546899491e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.911
y[1] (analytic) = 1.4265627740693622350411020135129
y[1] (numeric) = 1.4265627740693622350411020135128
absolute error = 1e-31
relative error = 7.0098562655426340895848234189303e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=64.8MB, alloc=4.3MB, time=2.55
x[1] = -0.91
y[1] (analytic) = 1.4270289635643105366820735985177
y[1] (numeric) = 1.4270289635643105366820735985176
absolute error = 1e-31
relative error = 7.0075662480058272858983638901397e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.909
y[1] (analytic) = 1.4274943384432996122706791733197
y[1] (numeric) = 1.4274943384432996122706791733197
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.908
y[1] (analytic) = 1.427958899001920728090800966893
y[1] (numeric) = 1.427958899001920728090800966893
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.907
y[1] (analytic) = 1.4284226455357039307985182427201
y[1] (numeric) = 1.4284226455357039307985182427202
absolute error = 1e-31
relative error = 7.0007291128107829008911016981915e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.906
y[1] (analytic) = 1.4288855783401180563365670487856
y[1] (numeric) = 1.4288855783401180563365670487857
absolute error = 1e-31
relative error = 6.9984610045659632557224719132468e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.905
y[1] (analytic) = 1.4293476977105707388477974371591
y[1] (numeric) = 1.4293476977105707388477974371591
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
memory used=68.6MB, alloc=4.3MB, time=2.71
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.904
y[1] (analytic) = 1.4298090039424084195876282450698
y[1] (numeric) = 1.4298090039424084195876282450699
absolute error = 1e-31
relative error = 6.9939411294984348293829203266096e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.903
y[1] (analytic) = 1.430269497330916355835499529368
y[1] (numeric) = 1.430269497330916355835499529368
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.902
y[1] (analytic) = 1.4307291781713186298053227462566
y[1] (numeric) = 1.4307291781713186298053227462566
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) = 1.4311880467587781575549287681777
y[1] (numeric) = 1.4311880467587781575549287681777
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.9
y[1] (analytic) = 1.4316461033883966978945138297226
y[1] (numeric) = 1.4316461033883966978945138297226
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=72.4MB, alloc=4.3MB, time=2.86
x[1] = -0.899
y[1] (analytic) = 1.4321033483552148612940834944332
y[1] (numeric) = 1.4321033483552148612940834944332
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.898
y[1] (analytic) = 1.4325597819542121187898947343527
y[1] (numeric) = 1.4325597819542121187898947343526
absolute error = 1e-31
relative error = 6.9805114774048730277094926383512e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.897
y[1] (analytic) = 1.4330154044803068108898962141766
y[1] (numeric) = 1.4330154044803068108898962141765
absolute error = 1e-31
relative error = 6.9782920467812911252921546529867e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.896
y[1] (analytic) = 1.4334702162283561564781668718496
y[1] (numeric) = 1.4334702162283561564781668718495
absolute error = 1e-31
relative error = 6.9760779727333864932249151562030e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.895
y[1] (analytic) = 1.4339242174931562617183528874436
y[1] (numeric) = 1.4339242174931562617183528874435
absolute error = 1e-31
relative error = 6.9738692449747452123794227703273e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.894
y[1] (analytic) = 1.4343774085694421289561031321488
y[1] (numeric) = 1.4343774085694421289561031321487
absolute error = 1e-31
relative error = 6.9716658532522284080435570942793e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=76.2MB, alloc=4.3MB, time=3.02
x[1] = -0.893
y[1] (analytic) = 1.4348297897518876656205031891995
y[1] (numeric) = 1.4348297897518876656205031891995
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.892
y[1] (analytic) = 1.4352813613351056931245080385519
y[1] (numeric) = 1.4352813613351056931245080385518
absolute error = 1e-31
relative error = 6.9672750370686563033504240510860e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.891
y[1] (analytic) = 1.4357321236136479557643734971202
y[1] (numeric) = 1.4357321236136479557643734971202
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.89
y[1] (analytic) = 1.4361820768820051296180865063764
y[1] (numeric) = 1.4361820768820051296180865063763
absolute error = 1e-31
relative error = 6.9629054428184366801611892091008e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.889
y[1] (analytic) = 1.4366312214346068314427943591039
y[1] (numeric) = 1.4366312214346068314427943591039
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used
Radius of convergence = 1.823
Order of pole = 17.03
TOP MAIN SOLVE Loop
memory used=80.1MB, alloc=4.3MB, time=3.17
x[1] = -0.888
y[1] (analytic) = 1.4370795575658216275712329570968
y[1] (numeric) = 1.4370795575658216275712329570967
absolute error = 1e-31
relative error = 6.9585569896619842867629608793357e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.887
y[1] (analytic) = 1.4375270855699570428071541915812
y[1] (numeric) = 1.4375270855699570428071541915811
absolute error = 1e-31
relative error = 6.9563906658740667466916817698141e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.886
y[1] (analytic) = 1.4379738057412595693197525381351
y[1] (numeric) = 1.437973805741259569319752538135
absolute error = 1e-31
relative error = 6.9542295972805365281109229639820e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.885
y[1] (analytic) = 1.4384197183739146755370909578705
y[1] (numeric) = 1.4384197183739146755370909578705
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.884
y[1] (analytic) = 1.4388648237620468150385261966386
y[1] (numeric) = 1.4388648237620468150385261966386
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.883
y[1] (analytic) = 1.4393091221997194354461335740085
y[1] (numeric) = 1.4393091221997194354461335740084
absolute error = 1e-31
relative error = 6.9477778232356632945304202020259e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=83.9MB, alloc=4.3MB, time=3.33
x[1] = -0.882
y[1] (analytic) = 1.4397526139809349873151313537651
y[1] (numeric) = 1.439752613980934987315131353765
absolute error = 1e-31
relative error = 6.9456376761490072699394191965619e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.881
y[1] (analytic) = 1.4401952993996349330233047876643
y[1] (numeric) = 1.4401952993996349330233047876642
absolute error = 1e-31
relative error = 6.9435027347809262288382812725594e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.88
y[1] (analytic) = 1.4406371787496997556594299241749
y[1] (numeric) = 1.4406371787496997556594299241748
absolute error = 1e-31
relative error = 6.9413729893315680944873940506986e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.879
y[1] (analytic) = 1.4410782523249489679106972739317
y[1] (numeric) = 1.4410782523249489679106972739315
absolute error = 2e-31
relative error = 1.3878496860065165128291709021049e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.878
y[1] (analytic) = 1.4415185204191411209491354236153
y[1] (numeric) = 1.4415185204191411209491354236152
absolute error = 1e-31
relative error = 6.9371290471470071400886307765351e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=87.7MB, alloc=4.3MB, time=3.49
x[1] = -0.877
y[1] (analytic) = 1.44195798332597381331703468997
y[1] (numeric) = 1.4419579833259738133170346899699
absolute error = 1e-31
relative error = 6.9350148309691536761919603131148e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.876
y[1] (analytic) = 1.4423966413390836998113709056588
y[1] (numeric) = 1.4423966413390836998113709056587
absolute error = 1e-31
relative error = 6.9329057718244954374142514890539e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.875
y[1] (analytic) = 1.4428344947520465003672294286534
y[1] (numeric) = 1.4428344947520465003672294286532
absolute error = 2e-31
relative error = 1.3861603720139109339031379224912e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.874
y[1] (analytic) = 1.4432715438583770089402294668455
y[1] (numeric) = 1.4432715438583770089402294668454
absolute error = 1e-31
relative error = 6.9287030860917906763755761914053e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.873
y[1] (analytic) = 1.4437077889515291023879488095624
y[1] (numeric) = 1.4437077889515291023879488095621
absolute error = 3e-31
relative error = 2.0779828320928465206846456407338e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.872
y[1] (analytic) = 1.4441432303248957493503490576566
y[1] (numeric) = 1.4441432303248957493503490576564
absolute error = 2e-31
relative error = 1.3849041826343295033170545331410e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=91.5MB, alloc=4.3MB, time=3.66
x[1] = -0.871
y[1] (analytic) = 1.4445778682718090191292014438425
y[1] (numeric) = 1.4445778682718090191292014438422
absolute error = 3e-31
relative error = 2.0767312485473615994353443831344e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.87
y[1] (analytic) = 1.4450117030855400905665133349323
y[1] (numeric) = 1.4450117030855400905665133349321
absolute error = 2e-31
relative error = 1.3840718353556520433614212679971e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.869
y[1] (analytic) = 1.4454447350592992609219555076311
y[1] (numeric) = 1.4454447350592992609219555076309
absolute error = 2e-31
relative error = 1.3836571897146591019825955070979e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.868
y[1] (analytic) = 1.44587696448623595474929028953
y[1] (numeric) = 1.4458769644862359547492902895299
absolute error = 1e-31
relative error = 6.9162178011137372503442311339877e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.867
y[1] (analytic) = 1.4463083916594387327718006569409
y[1] (numeric) = 1.4463083916594387327718006569407
absolute error = 2e-31
relative error = 1.3828309450001024809040887659023e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.866
y[1] (analytic) = 1.4467390168719353007567203812001
y[1] (numeric) = 1.4467390168719353007567203811999
absolute error = 2e-31
relative error = 1.3824193421729215154522010450572e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=95.3MB, alloc=4.3MB, time=3.82
x[1] = -0.865
y[1] (analytic) = 1.4471688404166925183886653150684
y[1] (numeric) = 1.4471688404166925183886653150681
absolute error = 3e-31
relative error = 2.0730131248100884623594629549386e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.864
y[1] (analytic) = 1.4475978625866164081420659108414
y[1] (numeric) = 1.4475978625866164081420659108411
absolute error = 3e-31
relative error = 2.0723987493595074744678064526764e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.863
y[1] (analytic) = 1.448026083674552164152601061783
y[1] (numeric) = 1.4480260836745521641526010617827
absolute error = 3e-31
relative error = 2.0717858841237960961532509727180e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.862
y[1] (analytic) = 1.4484535039732841610876333584827
y[1] (numeric) = 1.4484535039732841610876333584824
absolute error = 3e-31
relative error = 2.0711745263280009055815547625887e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.861
y[1] (analytic) = 1.4488801237755359630156458517335
y[1] (numeric) = 1.4488801237755359630156458517332
absolute error = 3e-31
relative error = 2.0705646732060266052659403564748e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=99.1MB, alloc=4.3MB, time=3.99
x[1] = -0.86
y[1] (analytic) = 1.4493059433739703322746804135193
y[1] (numeric) = 1.449305943373970332274680413519
absolute error = 3e-31
relative error = 2.0699563220006044965671948353586e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.859
y[1] (analytic) = 1.4497309630611892383397777876928
y[1] (numeric) = 1.4497309630611892383397777876925
absolute error = 3e-31
relative error = 2.0693494699632610951375018543534e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.858
y[1] (analytic) = 1.4501551831297338666894194219184
y[1] (numeric) = 1.4501551831297338666894194219181
absolute error = 3e-31
relative error = 2.0687441143542868865875300582329e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.857
y[1] (analytic) = 1.4505786038720846276709711724485
y[1] (numeric) = 1.4505786038720846276709711724481
absolute error = 4e-31
relative error = 2.7575203365902736288807233407379e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.856
y[1] (analytic) = 1.4510012255806611653651289732915
y[1] (numeric) = 1.4510012255806611653651289732911
absolute error = 4e-31
relative error = 2.7567171753416551336020050191253e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.855
y[1] (analytic) = 1.4514230485478223664493665613277
y[1] (numeric) = 1.4514230485478223664493665613274
absolute error = 3e-31
relative error = 2.0669369988312915932133456329985e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=103.0MB, alloc=4.3MB, time=4.16
x[1] = -0.854
y[1] (analytic) = 1.4518440730658663690603853489164
y[1] (numeric) = 1.4518440730658663690603853489161
absolute error = 3e-31
relative error = 2.0663376017128926522967091821078e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.853
y[1] (analytic) = 1.4522642994270305716555665355342
y[1] (numeric) = 1.452264299427030571655566535534
absolute error = 2e-31
relative error = 1.3771597916364607038490734720844e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.852
y[1] (analytic) = 1.4526837279234916418734255499782
y[1] (numeric) = 1.4526837279234916418734255499778
absolute error = 4e-31
relative error = 2.7535243378252169877327699174221e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.851
y[1] (analytic) = 1.453102358847365525393068914655
y[1] (numeric) = 1.4531023588473655253930689146547
absolute error = 3e-31
relative error = 2.0645482967763327707728881242739e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.85
y[1] (analytic) = 1.453520192490707454792653623479
y[1] (numeric) = 1.4535201924907074547926536234787
absolute error = 3e-31
relative error = 2.0639548150062451873535742166025e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=106.8MB, alloc=4.3MB, time=4.33
x[1] = -0.849
y[1] (analytic) = 1.4539372291455119584068491248843
y[1] (numeric) = 1.453937229145511958406849124884
absolute error = 3e-31
relative error = 2.0633628053964329964088942912558e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.848
y[1] (analytic) = 1.454353469103712869183302001459
y[1] (numeric) = 1.4543534691037128691833020014587
absolute error = 3e-31
relative error = 2.0627722652931382872059620448691e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.847
y[1] (analytic) = 1.4547689126571833335381034376956
y[1] (numeric) = 1.4547689126571833335381034376953
absolute error = 3e-31
relative error = 2.0621831920510324841761916212553e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.846
y[1] (analytic) = 1.4551835600977358202102595673482
y[1] (numeric) = 1.4551835600977358202102595673479
absolute error = 3e-31
relative error = 2.0615955830331867305801635171979e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.845
y[1] (analytic) = 1.455597411717122129115164791878
y[1] (numeric) = 1.4555974117171221291151647918777
absolute error = 3e-31
relative error = 2.0610094356110424034054325018650e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.844
y[1] (analytic) = 1.456010467807033400197078161463
y[1] (numeric) = 1.4560104678070334001970781614628
absolute error = 2e-31
relative error = 1.3736164981095878392224607129222e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=110.6MB, alloc=4.3MB, time=4.50
x[1] = -0.843
y[1] (analytic) = 1.4564227286591001222806029100403
y[1] (numeric) = 1.4564227286591001222806029100401
absolute error = 2e-31
relative error = 1.3732276767208658050783790746305e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.842
y[1] (analytic) = 1.456834194564892141921169235841
y[1] (numeric) = 1.4568341945648921419211692358408
absolute error = 2e-31
relative error = 1.3728398245054464798074586240724e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.841
y[1] (analytic) = 1.4572448658159186722545204188728
y[1] (numeric) = 1.4572448658159186722545204188726
absolute error = 2e-31
relative error = 1.3724529397330832383349447538511e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.84
y[1] (analytic) = 1.4576547427036283018452023667972
y[1] (numeric) = 1.457654742703628301845202366797
absolute error = 2e-31
relative error = 1.3720670206790126246656975422968e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.839
y[1] (analytic) = 1.4580638255194090035340566806402
y[1] (numeric) = 1.45806382551940900353405668064
absolute error = 2e-31
relative error = 1.3716820656239352108805904078438e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=114.4MB, alloc=4.3MB, time=4.66
x[1] = -0.838
y[1] (analytic) = 1.4584721145545881432847173317707
y[1] (numeric) = 1.4584721145545881432847173317705
absolute error = 2e-31
relative error = 1.3712980728539965405783487061357e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.837
y[1] (analytic) = 1.4588796101004324890291110415708
y[1] (numeric) = 1.4588796101004324890291110415707
absolute error = 1e-31
relative error = 6.8545752033038407816906635793899e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.836
y[1] (analytic) = 1.4592863124481482195119614552181
y[1] (numeric) = 1.459286312448148219511961455218
absolute error = 1e-31
relative error = 6.8526648367061435539031600798281e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.835
y[1] (analytic) = 1.4596922218888809331342972009901
y[1] (numeric) = 1.4596922218888809331342972009899
absolute error = 2e-31
relative error = 1.3701518511977451608078848256174e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.834
y[1] (analytic) = 1.4600973387137156567959639264962
y[1] (numeric) = 1.460097338713715656795963926496
absolute error = 2e-31
relative error = 1.3697716905380540446044665765891e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.833
y[1] (analytic) = 1.4605016632136768547371404032346
y[1] (numeric) = 1.4605016632136768547371404032344
absolute error = 2e-31
relative error = 1.3693924836752428409851069265434e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=118.2MB, alloc=4.3MB, time=4.83
x[1] = -0.832
y[1] (analytic) = 1.4609051956797284373788587908637
y[1] (numeric) = 1.4609051956797284373788587908636
absolute error = 1e-31
relative error = 6.8450711446386570533809685946750e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.831
y[1] (analytic) = 1.4613079364027737701625291525722
y[1] (numeric) = 1.461307936402773770162529152572
absolute error = 2e-31
relative error = 1.3686369246192535191210061600463e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.83
y[1] (analytic) = 1.4617098856736556823884683129225
y[1] (numeric) = 1.4617098856736556823884683129223
absolute error = 2e-31
relative error = 1.3682605690788384404008878299099e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.829
y[1] (analytic) = 1.462111043783156476053433149539
y[1] (numeric) = 1.4621110437831564760534331495387
absolute error = 3e-31
relative error = 2.0518277409611889628003847725621e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.828
y[1] (analytic) = 1.4625114110219979346871584100002
y[1] (numeric) = 1.46251141102199793468715841
absolute error = 2e-31
relative error = 1.3675106976446815490790190239278e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.827
y[1] (analytic) = 1.4629109876808413321878991452928
y[1] (numeric) = 1.4629109876808413321878991452926
absolute error = 2e-31
relative error = 1.3671371784353113906516152302491e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=122.0MB, alloc=4.3MB, time=5.00
TOP MAIN SOLVE Loop
x[1] = -0.826
y[1] (analytic) = 1.4633097740502874416569778511722
y[1] (numeric) = 1.463309774050287441656977851172
absolute error = 2e-31
relative error = 1.3667646013627111226075566922034e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.825
y[1] (analytic) = 1.4637077704208765442323364087729
y[1] (numeric) = 1.4637077704208765442323364087728
absolute error = 1e-31
relative error = 6.8319648239105721592197571326104e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.824
y[1] (analytic) = 1.4641049770830884379210929158019
y[1] (numeric) = 1.4641049770830884379210929158018
absolute error = 1e-31
relative error = 6.8301113352697090915805893972319e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.823
y[1] (analytic) = 1.4645013943273424464311034996399
y[1] (numeric) = 1.4645013943273424464311034996398
absolute error = 1e-31
relative error = 6.8282625327189137777399396993789e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.822
y[1] (analytic) = 1.4648970224439974280015292036726
y[1] (numeric) = 1.4648970224439974280015292036725
absolute error = 1e-31
relative error = 6.8264184081118896453979054352417e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=125.8MB, alloc=4.3MB, time=5.17
x[1] = -0.821
y[1] (analytic) = 1.4652918617233517842324080381627
y[1] (numeric) = 1.4652918617233517842324080381626
absolute error = 1e-31
relative error = 6.8245789533280077623219978030910e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.82
y[1] (analytic) = 1.4656859124556434689132322869684
y[1] (numeric) = 1.4656859124556434689132322869682
absolute error = 2e-31
relative error = 1.3645488320544437604318145548285e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.819
y[1] (analytic) = 1.4660791749310499968505311614068
y[1] (numeric) = 1.4660791749310499968505311614066
absolute error = 2e-31
relative error = 1.3641828041749930788317193064824e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.818
y[1] (analytic) = 1.4664716494396884526944588925541
y[1] (numeric) = 1.4664716494396884526944588925539
absolute error = 2e-31
relative error = 1.3638177054184189709809166702898e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.817
y[1] (analytic) = 1.4668633362716154997643883532654
y[1] (numeric) = 1.4668633362716154997643883532653
absolute error = 1e-31
relative error = 6.8172676709047723001644322791071e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.816
y[1] (analytic) = 1.4672542357168273888735103011926
y[1] (numeric) = 1.4672542357168273888735103011923
absolute error = 3e-31
relative error = 2.0446354332958182404921123067523e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=129.7MB, alloc=4.4MB, time=5.34
x[1] = -0.815
y[1] (analytic) = 1.4676443480652599671524383340687
y[1] (numeric) = 1.4676443480652599671524383340684
absolute error = 3e-31
relative error = 2.0440919518102505760259974682433e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.814
y[1] (analytic) = 1.4680336736067886868718196485245
y[1] (numeric) = 1.4680336736067886868718196485242
absolute error = 3e-31
relative error = 2.0435498544317089838798848268000e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.813
y[1] (analytic) = 1.4684222126312286142639516936898
y[1] (numeric) = 1.4684222126312286142639516936896
absolute error = 2e-31
relative error = 1.3620060925231106362463395474545e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.812
y[1] (analytic) = 1.4688099654283344383434048108312
y[1] (numeric) = 1.4688099654283344383434048108309
absolute error = 3e-31
relative error = 2.0424698025010606762273315763404e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.811
y[1] (analytic) = 1.4691969322878004797266509502652
y[1] (numeric) = 1.4691969322878004797266509502649
absolute error = 3e-31
relative error = 2.0419318432202736426297415034946e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=133.5MB, alloc=4.4MB, time=5.50
x[1] = -0.81
y[1] (analytic) = 1.469583113499260699450698556785
y[1] (numeric) = 1.4695831134992606994506985567847
absolute error = 3e-31
relative error = 2.0413952585891013673763313042833e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.809
y[1] (analytic) = 1.4699685093522887077907337148251
y[1] (numeric) = 1.4699685093522887077907337148249
absolute error = 2e-31
relative error = 1.3605733641744874737860649332634e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.808
y[1] (analytic) = 1.4703531201363977730767676445863
y[1] (numeric) = 1.4703531201363977730767676445861
absolute error = 2e-31
relative error = 1.3602174692664775426816762414072e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.807
y[1] (analytic) = 1.4707369461410408305092906403336
y[1] (numeric) = 1.4707369461410408305092906403334
absolute error = 2e-31
relative error = 1.3598624861146337623723252429194e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.806
y[1] (analytic) = 1.4711199876556104909739325420746
y[1] (numeric) = 1.4711199876556104909739325420743
absolute error = 3e-31
relative error = 2.0392626197546441415032381362093e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.805
y[1] (analytic) = 1.4715022449694390498551298318158
y[1] (numeric) = 1.4715022449694390498551298318156
absolute error = 2e-31
relative error = 1.3591552488875319900041270207268e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=137.3MB, alloc=4.4MB, time=5.67
x[1] = -0.804
y[1] (analytic) = 1.4718837183717984958487994455922
y[1] (numeric) = 1.4718837183717984958487994455919
absolute error = 3e-31
relative error = 2.0382044875926799519639557435276e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.803
y[1] (analytic) = 1.4722644081519005197740193924509
y[1] (numeric) = 1.4722644081519005197740193924506
absolute error = 3e-31
relative error = 2.0376774602367998932554690702894e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.802
y[1] (analytic) = 1.4726443145988965233837162715719
y[1] (numeric) = 1.4726443145988965233837162715717
absolute error = 2e-31
relative error = 1.3581011926459235405848840260829e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.801
y[1] (analytic) = 1.4730234380018776281743597786935
y[1] (numeric) = 1.4730234380018776281743597786933
absolute error = 2e-31
relative error = 1.3577516476675713609742005724369e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.8
y[1] (analytic) = 1.4734017786498746841946642930075
y[1] (numeric) = 1.4734017786498746841946642930073
absolute error = 2e-31
relative error = 1.3574030037025366964393097388818e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=141.1MB, alloc=4.4MB, time=5.84
x[1] = -0.799
y[1] (analytic) = 1.473779336831858278853297635682
y[1] (numeric) = 1.4737793368318582788532976356818
absolute error = 2e-31
relative error = 1.3570552592353095305874880124477e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.798
y[1] (analytic) = 1.4741561128367387457255970911604
y[1] (numeric) = 1.4741561128367387457255970911603
absolute error = 1e-31
relative error = 6.7835420637756359429451974013749e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.797
y[1] (analytic) = 1.4745321069533661733592927823805
y[1] (numeric) = 1.4745321069533661733592927823804
absolute error = 1e-31
relative error = 6.7818123137797920189679669832434e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.796
y[1] (analytic) = 1.4749073194705304140792384910483
y[1] (numeric) = 1.4749073194705304140792384910482
absolute error = 1e-31
relative error = 6.7800870386824372645176865606673e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.795
y[1] (analytic) = 1.4752817506769610927911500140965
y[1] (numeric) = 1.4752817506769610927911500140964
absolute error = 1e-31
relative error = 6.7783662310004917968539082663074e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.794
y[1] (analytic) = 1.4756554008613276157843511474489
y[1] (numeric) = 1.4756554008613276157843511474488
absolute error = 1e-31
relative error = 6.7766498832742958234246622048749e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=144.9MB, alloc=4.4MB, time=6.01
x[1] = -0.793
y[1] (analytic) = 1.4760282703122391795335273882044
y[1] (numeric) = 1.4760282703122391795335273882044
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.792
y[1] (analytic) = 1.4764003593182447794994874463502
y[1] (numeric) = 1.4764003593182447794994874463501
absolute error = 1e-31
relative error = 6.7732305379671441416558552045348e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.791
y[1] (analytic) = 1.4767716681678332189289326571016
y[1] (numeric) = 1.4767716681678332189289326571016
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.79
y[1] (analytic) = 1.4771421971494331176532343849659
y[1] (numeric) = 1.4771421971494331176532343849658
absolute error = 1e-31
relative error = 6.7698289435491384550747825882669e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.789
y[1] (analytic) = 1.4775119465514129208862195106123
y[1] (numeric) = 1.4775119465514129208862195106122
absolute error = 1e-31
relative error = 6.7681347845210335981375767270693e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.788
y[1] (analytic) = 1.4778809166620809080209640916308
y[1] (numeric) = 1.4778809166620809080209640916308
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=148.7MB, alloc=4.4MB, time=6.18
x[1] = -0.787
y[1] (analytic) = 1.4782491077696852014255952882507
y[1] (numeric) = 1.4782491077696852014255952882506
absolute error = 1e-31
relative error = 6.7647597062226837272293666723192e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.786
y[1] (analytic) = 1.4786165201624137752381016450826
y[1] (numeric) = 1.4786165201624137752381016450826
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.785
y[1] (analytic) = 1.4789831541283944641601518199459
y[1] (numeric) = 1.4789831541283944641601518199459
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.784
y[1] (analytic) = 1.4793490099556949722499218508282
y[1] (numeric) = 1.4793490099556949722499218508282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.783
y[1] (analytic) = 1.4797140879323228817139310520243
y[1] (numeric) = 1.4797140879323228817139310520243
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=152.5MB, alloc=4.4MB, time=6.34
x[1] = -0.782
y[1] (analytic) = 1.4800783883462256616978866304899
y[1] (numeric) = 1.4800783883462256616978866304899
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.781
y[1] (analytic) = 1.4804419114852906770765371134403
y[1] (numeric) = 1.4804419114852906770765371134402
absolute error = 1e-31
relative error = 6.7547398668058835552392671018143e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.78
y[1] (analytic) = 1.4808046576373451972425346782169
y[1] (numeric) = 1.4808046576373451972425346782168
absolute error = 1e-31
relative error = 6.7530851881268452742161091100908e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.779
y[1] (analytic) = 1.4811666270901564048943064754382
y[1] (numeric) = 1.4811666270901564048943064754381
absolute error = 1e-31
relative error = 6.7514348602666125997721847217314e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.778
y[1] (analytic) = 1.4815278201314314048229350364423
y[1] (numeric) = 1.4815278201314314048229350364422
absolute error = 1e-31
relative error = 6.7497888761298223652337744191068e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.777
y[1] (analytic) = 1.481888237048817232698047856024
y[1] (numeric) = 1.481888237048817232698047856024
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=156.4MB, alloc=4.4MB, time=6.51
x[1] = -0.776
y[1] (analytic) = 1.4822478781299008638527162414614
y[1] (numeric) = 1.4822478781299008638527162414614
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.775
y[1] (analytic) = 1.4826067436622092220673635188176
y[1] (numeric) = 1.4826067436622092220673635188176
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.774
y[1] (analytic) = 1.4829648339332091883526826875005
y[1] (numeric) = 1.4829648339332091883526826875004
absolute error = 1e-31
relative error = 6.7432482356829690155691216915782e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.773
y[1] (analytic) = 1.4833221492303076097315636140526
y[1] (numeric) = 1.4833221492303076097315636140525
absolute error = 1e-31
relative error = 6.7416238645050750348207532101405e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.772
y[1] (analytic) = 1.4836786898408513080200298561378
y[1] (numeric) = 1.4836786898408513080200298561378
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=160.2MB, alloc=4.4MB, time=6.68
x[1] = -0.771
y[1] (analytic) = 1.4840344560521270886071852076851
y[1] (numeric) = 1.484034456052127088607185207685
absolute error = 1e-31
relative error = 6.7383880200479303767657037739405e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.77
y[1] (analytic) = 1.4843894481513617492341700561392
y[1] (numeric) = 1.4843894481513617492341700561392
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.769
y[1] (analytic) = 1.4847436664257220887721276427676
y[1] (numeric) = 1.4847436664257220887721276427677
absolute error = 1e-31
relative error = 6.7351693266174133293379346226310e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.768
y[1] (analytic) = 1.485097111162314915999180316958
y[1] (numeric) = 1.485097111162314915999180316958
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.767
y[1] (analytic) = 1.4854497826481870583764158754392
y[1] (numeric) = 1.4854497826481870583764158754393
absolute error = 1e-31
relative error = 6.7319677291092871428915734831558e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.766
y[1] (analytic) = 1.4858016811703253708228840773513
y[1] (numeric) = 1.4858016811703253708228840773514
absolute error = 1e-31
relative error = 6.7303733241998173966120442859262e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=164.0MB, alloc=4.4MB, time=6.85
x[1] = -0.765
y[1] (analytic) = 1.4861528070156567444896034260781
y[1] (numeric) = 1.4861528070156567444896034260782
absolute error = 1e-31
relative error = 6.7287831727620248414590666714763e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.764
y[1] (analytic) = 1.4865031604710481155325783087563
y[1] (numeric) = 1.4865031604710481155325783087564
absolute error = 1e-31
relative error = 6.7271972680039014542632072599563e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.763
y[1] (analytic) = 1.4868527418233064738848265843613
y[1] (numeric) = 1.4868527418233064738848265843613
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.762
y[1] (analytic) = 1.4872015513591788720274177112667
y[1] (numeric) = 1.4872015513591788720274177112668
absolute error = 1e-31
relative error = 6.7240381714642708532948288119958e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.761
y[1] (analytic) = 1.4875495893653524337595215051676
y[1] (numeric) = 1.4875495893653524337595215051676
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.76
y[1] (analytic) = 1.4878968561284543629674676182464
y[1] (numeric) = 1.4878968561284543629674676182465
absolute error = 1e-31
relative error = 6.7208959806664660283635114722191e-30 %
Correct digits = 31
h = 0.001
memory used=167.8MB, alloc=4.4MB, time=7.01
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.759
y[1] (analytic) = 1.4882433519350519523928158304604
y[1] (numeric) = 1.4882433519350519523928158304604
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.758
y[1] (analytic) = 1.4885890770716525923994372438138
y[1] (numeric) = 1.4885890770716525923994372438139
absolute error = 1e-31
relative error = 6.7177706420310205718066312546230e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.757
y[1] (analytic) = 1.4889340318247037797396064704805
y[1] (numeric) = 1.4889340318247037797396064704805
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.756
y[1] (analytic) = 1.4892782164805931263191049056256
y[1] (numeric) = 1.4892782164805931263191049056256
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.755
y[1] (analytic) = 1.4896216313256483679613351757774
y[1] (numeric) = 1.4896216313256483679613351757774
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=171.6MB, alloc=4.4MB, time=7.18
x[1] = -0.754
y[1] (analytic) = 1.4899642766461373731704468535861
y[1] (numeric) = 1.4899642766461373731704468535861
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.753
y[1] (analytic) = 1.4903061527282681518934735298032
y[1] (numeric) = 1.4903061527282681518934735298032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.752
y[1] (analytic) = 1.4906472598581888642814813333068
y[1] (numeric) = 1.4906472598581888642814813333069
absolute error = 1e-31
relative error = 6.7084952082837755489175639347776e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.751
y[1] (analytic) = 1.4909875983219878294497289899919
y[1] (numeric) = 1.4909875983219878294497289899919
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.75
y[1] (analytic) = 1.4913271684056935342368395113354
y[1] (numeric) = 1.4913271684056935342368395113355
absolute error = 1e-31
relative error = 6.7054367491276385482201746742027e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.749
y[1] (analytic) = 1.4916659703952746419629836034432
y[1] (numeric) = 1.4916659703952746419629836034432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=175.4MB, alloc=4.4MB, time=7.35
x[1] = -0.748
y[1] (analytic) = 1.4920040045766400011870748873731
y[1] (numeric) = 1.4920040045766400011870748873731
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.747
y[1] (analytic) = 1.4923412712356386544629770215274
y[1] (numeric) = 1.4923412712356386544629770215274
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.746
y[1] (analytic) = 1.4926777706580598470947228168959
y[1] (numeric) = 1.4926777706580598470947228168959
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.745
y[1] (analytic) = 1.4930135031296330358907454359268
y[1] (numeric) = 1.4930135031296330358907454359269
absolute error = 1e-31
relative error = 6.6978630662335916440426477104152e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.744
y[1] (analytic) = 1.4933484689360278979171217657948
y[1] (numeric) = 1.4933484689360278979171217657949
absolute error = 1e-31
relative error = 6.6963607008113390782443538412697e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=179.2MB, alloc=4.4MB, time=7.51
x[1] = -0.743
y[1] (analytic) = 1.4936826683628543392498280568274
y[1] (numeric) = 1.4936826683628543392498280568274
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.742
y[1] (analytic) = 1.494016101695662503726007916846
y[1] (numeric) = 1.494016101695662503726007916846
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.741
y[1] (analytic) = 1.4943487692199427816942527521695
y[1] (numeric) = 1.4943487692199427816942527521696
absolute error = 1e-31
relative error = 6.6918782321613233027391211591344e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.74
y[1] (analytic) = 1.4946806712211258187638947460211
y[1] (numeric) = 1.4946806712211258187638947460212
absolute error = 1e-31
relative error = 6.6903922640748336356554281685461e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.739
y[1] (analytic) = 1.4950118079845825245533124650721
y[1] (numeric) = 1.4950118079845825245533124650722
absolute error = 1e-31
relative error = 6.6889103795647921140312716393607e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.738
y[1] (analytic) = 1.4953421797956240814372491848507
y[1] (numeric) = 1.4953421797956240814372491848507
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=183.1MB, alloc=4.4MB, time=7.68
x[1] = -0.737
y[1] (analytic) = 1.4956717869395019532931440247348
y[1] (numeric) = 1.4956717869395019532931440247348
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.736
y[1] (analytic) = 1.4960006297014078942464759832432
y[1] (numeric) = 1.4960006297014078942464759832432
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.735
y[1] (analytic) = 1.4963287083664739574151209643286
y[1] (numeric) = 1.4963287083664739574151209643287
absolute error = 1e-31
relative error = 6.6830235523028178854462816906721e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.734
y[1] (analytic) = 1.4966560232197725036527218853741
y[1] (numeric) = 1.4966560232197725036527218853742
absolute error = 1e-31
relative error = 6.6815619921048327566742788739899e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.733
y[1] (analytic) = 1.4969825745463162102910719575828
y[1] (numeric) = 1.4969825745463162102910719575828
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.732
y[1] (analytic) = 1.4973083626310580798815112294467
y[1] (numeric) = 1.4973083626310580798815112294467
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
memory used=186.9MB, alloc=4.4MB, time=7.85
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.731
y[1] (analytic) = 1.4976333877588914489353364839725
y[1] (numeric) = 1.4976333877588914489353364839725
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.73
y[1] (analytic) = 1.497957650214649996663224580334
y[1] (numeric) = 1.4979576502146499966632245803341
absolute error = 1e-31
relative error = 6.6757561527637640250275146899207e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.729
y[1] (analytic) = 1.4982811502831077537136693306167
y[1] (numeric) = 1.4982811502831077537136693306168
absolute error = 1e-31
relative error = 6.6743147626935370173721072032260e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.728
y[1] (analytic) = 1.4986038882489791109104320023091
y[1] (numeric) = 1.4986038882489791109104320023091
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.727
y[1] (analytic) = 1.4989258643969188279890055371919
y[1] (numeric) = 1.498925864396918827989005537192
absolute error = 1e-31
relative error = 6.6714440236998794338762497826640e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=190.7MB, alloc=4.4MB, time=8.02
x[1] = -0.726
y[1] (analytic) = 1.4992470790115220423320925772682
y[1] (numeric) = 1.4992470790115220423320925772683
absolute error = 1e-31
relative error = 6.6700146626886626795294380132880e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.725
y[1] (analytic) = 1.4995675323773242777040973883679
y[1] (numeric) = 1.499567532377324277704097388368
absolute error = 1e-31
relative error = 6.6685892993072481108730885058699e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.724
y[1] (analytic) = 1.4998872247788014529846317720576
y[1] (numeric) = 1.4998872247788014529846317720577
absolute error = 1e-31
relative error = 6.6671679275585321811667614759288e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.723
y[1] (analytic) = 1.500206156500369890901035056476
y[1] (numeric) = 1.500206156500369890901035056476
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.722
y[1] (analytic) = 1.5005243278263863267599082567092
y[1] (numeric) = 1.5005243278263863267599082567092
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.721
y[1] (analytic) = 1.500841739041147917177662495315
y[1] (numeric) = 1.500841739041147917177662495315
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=194.5MB, alloc=4.4MB, time=8.18
x[1] = -0.72
y[1] (analytic) = 1.5011583904288922488100817735946
y[1] (numeric) = 1.5011583904288922488100817735947
absolute error = 1e-31
relative error = 6.6615222375987418269819667375541e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.719
y[1] (analytic) = 1.5014742822737973470809001842069
y[1] (numeric) = 1.501474282273797347080900184207
absolute error = 1e-31
relative error = 6.6601207347063148775257644859940e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.718
y[1] (analytic) = 1.5017894148599816849093936557103
y[1] (numeric) = 1.5017894148599816849093936557103
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.717
y[1] (analytic) = 1.5021037884715041914369863196125
y[1] (numeric) = 1.5021037884715041914369863196126
absolute error = 1e-31
relative error = 6.6573295911700618079966104894130e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.716
y[1] (analytic) = 1.502417403392364260752871590501
y[1] (numeric) = 1.5024174033923642607528715905012
absolute error = 2e-31
relative error = 1.3311879877616735841676005068111e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=198.3MB, alloc=4.4MB, time=8.35
x[1] = -0.715
y[1] (analytic) = 1.502730259906501760618648049818
y[1] (numeric) = 1.5027302599065017606186480498181
absolute error = 1e-31
relative error = 6.6545542249360102084450299639583e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.714
y[1] (analytic) = 1.5030423582977970411919702238391
y[1] (numeric) = 1.5030423582977970411919702238392
absolute error = 1e-31
relative error = 6.6531724437394098588101492251460e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.713
y[1] (analytic) = 1.5033536988500709437492143464083
y[1] (numeric) = 1.5033536988500709437492143464084
absolute error = 1e-31
relative error = 6.6517945894230292409492897468982e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.712
y[1] (analytic) = 1.5036642818470848094071591969706
y[1] (numeric) = 1.5036642818470848094071591969707
absolute error = 1e-31
relative error = 6.6504206562093162376299718440460e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.711
y[1] (analytic) = 1.5039741075725404878436821044426
y[1] (numeric) = 1.5039741075725404878436821044427
absolute error = 1e-31
relative error = 6.6490506383386488074879098339024e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.71
y[1] (analytic) = 1.5042831763100803460174702074492
y[1] (numeric) = 1.5042831763100803460174702074492
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=202.1MB, alloc=4.4MB, time=8.52
x[1] = -0.709
y[1] (analytic) = 1.5045914883432872768867470614503
y[1] (numeric) = 1.5045914883432872768867470614503
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.708
y[1] (analytic) = 1.5048990439556847081270146832746
y[1] (numeric) = 1.5048990439556847081270146832746
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.707
y[1] (analytic) = 1.5052058434307366108478111235677
y[1] (numeric) = 1.5052058434307366108478111235678
absolute error = 1e-31
relative error = 6.6436096057184612687135757114708e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.706
y[1] (analytic) = 1.5055118870518475083084836576591
y[1] (numeric) = 1.5055118870518475083084836576592
absolute error = 1e-31
relative error = 6.6422590787923917715471418669312e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.705
y[1] (analytic) = 1.5058171751023624846329776853406
y[1] (numeric) = 1.5058171751023624846329776853407
absolute error = 1e-31
relative error = 6.6409124330250913117161906714207e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=206.0MB, alloc=4.4MB, time=8.69
x[1] = -0.704
y[1] (analytic) = 1.5061217078655671935236414300468
y[1] (numeric) = 1.5061217078655671935236414300469
absolute error = 1e-31
relative error = 6.6395696627809151686185829140392e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.703
y[1] (analytic) = 1.5064254856246878669740465279169
y[1] (numeric) = 1.506425485624687866974046527917
absolute error = 1e-31
relative error = 6.6382307624417133281098119008600e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.702
y[1] (analytic) = 1.5067285086628913239808245972131
y[1] (numeric) = 1.5067285086628913239808245972131
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.701
y[1] (analytic) = 1.5070307772632849792545198785614
y[1] (numeric) = 1.5070307772632849792545198785614
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.7
y[1] (analytic) = 1.5073322917089168519294580364768
y[1] (numeric) = 1.5073322917089168519294580364768
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.699
y[1] (analytic) = 1.5076330522827755742726312126236
y[1] (numeric) = 1.5076330522827755742726312126237
absolute error = 1e-31
relative error = 6.6329137483809780562576430176403e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=209.8MB, alloc=4.4MB, time=8.86
x[1] = -0.698
y[1] (analytic) = 1.5079330592677904003915994212592
y[1] (numeric) = 1.5079330592677904003915994212592
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.697
y[1] (analytic) = 1.5082323129468312149414083772976
y[1] (numeric) = 1.5082323129468312149414083772977
absolute error = 1e-31
relative error = 6.6302783159854789841392774620470e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.696
y[1] (analytic) = 1.5085308136027085418305238474286
y[1] (numeric) = 1.5085308136027085418305238474287
absolute error = 1e-31
relative error = 6.6289663491312890788605121485679e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.695
y[1] (analytic) = 1.5088285615181735529257826147127
y[1] (numeric) = 1.5088285615181735529257826147128
absolute error = 1e-31
relative error = 6.6276582078603182000975482948259e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.694
y[1] (analytic) = 1.5091255569759180767563601470743
y[1] (numeric) = 1.5091255569759180767563601470744
absolute error = 1e-31
relative error = 6.6263538867094908960480433832580e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.693
y[1] (analytic) = 1.5094218002585746072167550601011
y[1] (numeric) = 1.5094218002585746072167550601012
absolute error = 1e-31
relative error = 6.6250533802327019686719071344386e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=213.6MB, alloc=4.4MB, time=9.03
x[1] = -0.692
y[1] (analytic) = 1.5097172916487163122687904645551
y[1] (numeric) = 1.5097172916487163122687904645552
absolute error = 1e-31
relative error = 6.6237566830007652017002618202452e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.691
y[1] (analytic) = 1.5100120314288570426426322889917
y[1] (numeric) = 1.5100120314288570426426322889917
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.69
y[1] (analytic) = 1.5103060198814513405368246678763
y[1] (numeric) = 1.5103060198814513405368246678764
absolute error = 1e-31
relative error = 6.6211746946389920263450660032947e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.689
y[1] (analytic) = 1.5105992572888944483173424855832
y[1] (numeric) = 1.5105992572888944483173424855832
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.688
y[1] (analytic) = 1.5108917439335223172156611666496
y[1] (numeric) = 1.5108917439335223172156611666496
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=217.4MB, alloc=4.4MB, time=9.19
x[1] = -0.687
y[1] (analytic) = 1.5111834800976116160258438026568
y[1] (numeric) = 1.5111834800976116160258438026569
absolute error = 1e-31
relative error = 6.6173301466702585384317343586236e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.686
y[1] (analytic) = 1.5114744660633797398006457060986
y[1] (numeric) = 1.5114744660633797398006457060986
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.685
y[1] (analytic) = 1.5117647021129848185466364815913
y[1] (numeric) = 1.5117647021129848185466364815914
absolute error = 1e-31
relative error = 6.6147860087109175030076652901164e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.684
y[1] (analytic) = 1.512054188528525725918339704776
y[1] (numeric) = 1.5120541885285257259183397047761
absolute error = 1e-31
relative error = 6.6135195920006173461044716785338e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.683
y[1] (analytic) = 1.51234292559204208791139029925
y[1] (numeric) = 1.5123429255920420879113902992501
absolute error = 1e-31
relative error = 6.6122569364254906654534581556092e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.682
y[1] (analytic) = 1.5126309135855142915547097018648
y[1] (numeric) = 1.5126309135855142915547097018649
absolute error = 1e-31
relative error = 6.6109980367227667309075366781262e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=221.2MB, alloc=4.4MB, time=9.36
x[1] = -0.681
y[1] (analytic) = 1.5129181527908634936016989067152
y[1] (numeric) = 1.5129181527908634936016989067154
absolute error = 2e-31
relative error = 1.3219485775292086849212803258667e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.68
y[1] (analytic) = 1.513204643489951629220449478141
y[1] (numeric) = 1.5132046434899516292204494781411
absolute error = 1e-31
relative error = 6.6084914839652384219797596516086e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.679
y[1] (analytic) = 1.5134903859645814206829726230514
y[1] (numeric) = 1.5134903859645814206829726230515
absolute error = 1e-31
relative error = 6.6072438204665405712872054949037e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.678
y[1] (analytic) = 1.5137753804964963860534464128824
y[1] (numeric) = 1.5137753804964963860534464128825
absolute error = 1e-31
relative error = 6.6059998919523614708122647944305e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.677
y[1] (analytic) = 1.5140596273673808478754812454813
y[1] (numeric) = 1.5140596273673808478754812454814
absolute error = 1e-31
relative error = 6.6047596932412872428327503874550e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.676
y[1] (analytic) = 1.514343126858859941858403637213
y[1] (numeric) = 1.5143431268588599418584036372132
absolute error = 2e-31
relative error = 1.3207046438336061006988355296867e-29 %
Correct digits = 30
h = 0.001
memory used=225.0MB, alloc=4.4MB, time=9.53
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.675
y[1] (analytic) = 1.5146258792524996255625584355725
y[1] (numeric) = 1.5146258792524996255625584355726
absolute error = 1e-31
relative error = 6.6022904645833825277175565383090e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.674
y[1] (analytic) = 1.5149078848298066870836295425798
y[1] (numeric) = 1.5149078848298066870836295425799
absolute error = 1e-31
relative error = 6.6010614243541656082774238004336e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.673
y[1] (analytic) = 1.5151891438722287537359792392306
y[1] (numeric) = 1.5151891438722287537359792392307
absolute error = 1e-31
relative error = 6.5998360933631856081904981639776e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.672
y[1] (analytic) = 1.5154696566611543007350062012644
y[1] (numeric) = 1.5154696566611543007350062012645
absolute error = 1e-31
relative error = 6.5986144665091847055598347063095e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.671
y[1] (analytic) = 1.5157494234779126598785222965077
y[1] (numeric) = 1.5157494234779126598785222965078
absolute error = 1e-31
relative error = 6.5973965387067943300238218479042e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=228.8MB, alloc=4.4MB, time=9.71
x[1] = -0.67
y[1] (analytic) = 1.5160284446037740282271482540418
y[1] (numeric) = 1.516028444603774028227148254042
absolute error = 2e-31
relative error = 1.3192364609772976579927611949868e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.669
y[1] (analytic) = 1.5163067203199494767837282954391
y[1] (numeric) = 1.5163067203199494767837282954392
absolute error = 1e-31
relative error = 6.5949717599945360896285445726513e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.668
y[1] (analytic) = 1.516584250907590959171763818301
y[1] (numeric) = 1.5165842509075909591717638183011
absolute error = 1e-31
relative error = 6.5937648989929564353380791727042e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.667
y[1] (analytic) = 1.5168610366477913203128662223296
y[1] (numeric) = 1.5168610366477913203128662223298
absolute error = 2e-31
relative error = 1.3185123433718941859867969068154e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.666
y[1] (analytic) = 1.5171370778215843051032289681529
y[1] (numeric) = 1.5171370778215843051032289681531
absolute error = 2e-31
relative error = 1.3182724417174915909294580907668e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.665
y[1] (analytic) = 1.5174123747099445670891189591178
y[1] (numeric) = 1.517412374709944567089118959118
absolute error = 2e-31
relative error = 1.3180332738371813475119375204813e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=232.7MB, alloc=4.4MB, time=10.10
x[1] = -0.664
y[1] (analytic) = 1.5176869275937876771413873362607
y[1] (numeric) = 1.5176869275937876771413873362608
absolute error = 1e-31
relative error = 6.5889741936793716078379189598352e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.663
y[1] (analytic) = 1.5179607367539701321289997766546
y[1] (numeric) = 1.5179607367539701321289997766547
absolute error = 1e-31
relative error = 6.5877856771079264349255239541437e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.662
y[1] (analytic) = 1.5182338024712893635915863853279
y[1] (numeric) = 1.518233802471289363591586385328
absolute error = 1e-31
relative error = 6.5866008145271192518803434295375e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.661
y[1] (analytic) = 1.5185061250264837464110112709405
y[1] (numeric) = 1.5185061250264837464110112709406
absolute error = 1e-31
relative error = 6.5854196010079270620504102581841e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.66
y[1] (analytic) = 1.5187777047002326074819618953976
y[1] (numeric) = 1.5187777047002326074819618953978
absolute error = 2e-31
relative error = 1.3168484063273421656570085822751e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=236.5MB, alloc=4.4MB, time=10.49
x[1] = -0.659
y[1] (analytic) = 1.5190485417731562343815582875745
y[1] (numeric) = 1.5190485417731562343815582875747
absolute error = 2e-31
relative error = 1.3166136203030341287764255558846e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.658
y[1] (analytic) = 1.5193186365258158840379822113166
y[1] (numeric) = 1.5193186365258158840379822113168
absolute error = 2e-31
relative error = 1.3163795611520602168953441258042e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.657
y[1] (analytic) = 1.5195879892387137913981263778752
y[1] (numeric) = 1.5195879892387137913981263778755
absolute error = 3e-31
relative error = 1.9742193418513040220240655395880e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.656
y[1] (analytic) = 1.5198566001922931780942637929304
y[1] (numeric) = 1.5198566001922931780942637929306
absolute error = 2e-31
relative error = 1.3159136195789515852966900751063e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.655
y[1] (analytic) = 1.5201244696669382611097373283443
y[1] (numeric) = 1.5201244696669382611097373283445
absolute error = 2e-31
relative error = 1.3156817352188293150482219647710e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.654
y[1] (analytic) = 1.520391597942974261443669608785
y[1] (numeric) = 1.5203915979429742614436696087853
absolute error = 3e-31
relative error = 1.9731758607840726904377004472132e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=240.3MB, alloc=4.4MB, time=10.89
x[1] = -0.653
y[1] (analytic) = 1.5206579853006674127746933033508
y[1] (numeric) = 1.520657985300667412774693303351
absolute error = 2e-31
relative error = 1.3152201345291697297219206514763e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.652
y[1] (analytic) = 1.5209236320202249701237019123168
y[1] (numeric) = 1.5209236320202249701237019123171
absolute error = 3e-31
relative error = 1.9724856244196398528816345414025e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.651
y[1] (analytic) = 1.5211885383817952185156211391253
y[1] (numeric) = 1.5211885383817952185156211391256
absolute error = 3e-31
relative error = 1.9721421272285747170091446021214e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.65
y[1] (analytic) = 1.5214527046654674816402009377242
y[1] (numeric) = 1.5214527046654674816402009377245
absolute error = 3e-31
relative error = 1.9717997087918885538300508014195e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.649
y[1] (analytic) = 1.5217161311512721305118283253608
y[1] (numeric) = 1.5217161311512721305118283253611
absolute error = 3e-31
relative error = 1.9714583676853809289775223012085e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=244.1MB, alloc=4.4MB, time=11.29
x[1] = -0.648
y[1] (analytic) = 1.5219788181191805921283610509242
y[1] (numeric) = 1.5219788181191805921283610509245
absolute error = 3e-31
relative error = 1.9711181024893087423969606909990e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.647
y[1] (analytic) = 1.5222407658491053581289822089267
y[1] (numeric) = 1.522240765849105358128982208927
absolute error = 3e-31
relative error = 1.9707789117883734156290889722270e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.646
y[1] (analytic) = 1.5225019746208999934510758892046
y[1] (numeric) = 1.5225019746208999934510758892049
absolute error = 3e-31
relative error = 1.9704407941717081306083440569327e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.645
y[1] (analytic) = 1.522762444714359144986123952415
y[1] (numeric) = 1.5227624447143591449861239524153
absolute error = 3e-31
relative error = 1.9701037482328651197536445583040e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.644
y[1] (analytic) = 1.5230221764092185502346240213949
y[1] (numeric) = 1.5230221764092185502346240213952
absolute error = 3e-31
relative error = 1.9697677725698030071297534433421e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.643
y[1] (analytic) = 1.5232811699851550459600287784445
y[1] (numeric) = 1.5232811699851550459600287784448
absolute error = 3e-31
relative error = 1.9694328657848742004585964052970e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=247.9MB, alloc=4.4MB, time=11.71
x[1] = -0.642
y[1] (analytic) = 1.5235394257217865768417066585884
y[1] (numeric) = 1.5235394257217865768417066585887
absolute error = 3e-31
relative error = 1.9690990264848123337610316369725e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.641
y[1] (analytic) = 1.5237969438986722041269240288614
y[1] (numeric) = 1.5237969438986722041269240288616
absolute error = 2e-31
relative error = 1.3125108355204798402737967243941e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used
Radius of convergence = 1.174
Order of pole = 3.616
TOP MAIN SOLVE Loop
x[1] = -0.64
y[1] (analytic) = 1.5240537247953121142818489436586
y[1] (numeric) = 1.5240537247953121142818489436589
absolute error = 3e-31
relative error = 1.9684345447880550963826672964698e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.639
y[1] (analytic) = 1.5243097686911476276415765661844
y[1] (numeric) = 1.5243097686911476276415765661846
absolute error = 2e-31
relative error = 1.3120692664177472089872157345371e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.638
y[1] (analytic) = 1.524565075865561207059176346023
y[1] (numeric) = 1.5245650758655612070591763460234
absolute error = 4e-31
relative error = 2.6236990885607345097717851235642e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=251.7MB, alloc=4.4MB, time=12.09
x[1] = -0.637
y[1] (analytic) = 1.5248196465978764665537610428543
y[1] (numeric) = 1.5248196465978764665537610428546
absolute error = 3e-31
relative error = 1.9674457937982984649109208568348e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.636
y[1] (analytic) = 1.525073481167358179957577686321
y[1] (numeric) = 1.5250734811673581799575776863213
absolute error = 3e-31
relative error = 1.9671183303926236564494439139010e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.635
y[1] (analytic) = 1.5253265798532122895621205620582
y[1] (numeric) = 1.5253265798532122895621205620586
absolute error = 4e-31
relative error = 2.6223892331207750352103252828042e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.634
y[1] (analytic) = 1.5255789429345859147632663138792
y[1] (numeric) = 1.5255789429345859147632663138796
absolute error = 4e-31
relative error = 2.6219554343780116112098961689008e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.633
y[1] (analytic) = 1.5258305706905673607054312521097
y[1] (numeric) = 1.5258305706905673607054312521101
absolute error = 4e-31
relative error = 2.6215230424893517184674418165372e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.632
y[1] (analytic) = 1.5260814634001861269247509580556
y[1] (numeric) = 1.5260814634001861269247509580559
absolute error = 3e-31
relative error = 1.9658190417409627440384935609031e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=255.5MB, alloc=4.4MB, time=12.46
x[1] = -0.631
y[1] (analytic) = 1.5263316213424129159912822745793
y[1] (numeric) = 1.5263316213424129159912822745797
absolute error = 4e-31
relative error = 2.6206624720792909007723477120482e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.63
y[1] (analytic) = 1.5265810447961596421502277727575
y[1] (numeric) = 1.5265810447961596421502277727579
absolute error = 4e-31
relative error = 2.6202342899745027918374595686628e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.629
y[1] (analytic) = 1.5268297340402794399621827845801
y[1] (numeric) = 1.5268297340402794399621827845805
absolute error = 4e-31
relative error = 2.6198075075570119993398567213555e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.628
y[1] (analytic) = 1.5270776893535666729424050916494
y[1] (numeric) = 1.5270776893535666729424050916497
absolute error = 3e-31
relative error = 1.9645365922868940122348370761736e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.627
y[1] (analytic) = 1.5273249110147569421991073598266
y[1] (numeric) = 1.527324911014756942199107359827
absolute error = 4e-31
relative error = 2.6189581346790147300783858892476e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=259.4MB, alloc=4.4MB, time=12.84
x[1] = -0.626
y[1] (analytic) = 1.5275713993025270950707724097698
y[1] (numeric) = 1.5275713993025270950707724097701
absolute error = 3e-31
relative error = 1.9639016555100260404612819187076e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.625
y[1] (analytic) = 1.5278171544954952337624914132957
y[1] (numeric) = 1.527817154495495233762491413296
absolute error = 3e-31
relative error = 1.9635857544685302162649481236760e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.624
y[1] (analytic) = 1.5280621768722207239813251054969
y[1] (numeric) = 1.5280621768722207239813251054972
absolute error = 3e-31
relative error = 1.9632708965682784083412525801028e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.623
y[1] (analytic) = 1.5283064667112042035706881025326
y[1] (numeric) = 1.5283064667112042035706881025329
absolute error = 3e-31
relative error = 1.9629570804969274224884026872386e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.622
y[1] (analytic) = 1.5285500242908875911437564150094
y[1] (numeric) = 1.5285500242908875911437564150097
absolute error = 3e-31
relative error = 1.9626443049462744477783385467031e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.621
y[1] (analytic) = 1.5287928498896540947158982468576
y[1] (numeric) = 1.5287928498896540947158982468579
absolute error = 3e-31
relative error = 1.9623325686122455136757049513150e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=263.2MB, alloc=4.4MB, time=13.21
x[1] = -0.62
y[1] (analytic) = 1.5290349437858282203361281696052
y[1] (numeric) = 1.5290349437858282203361281696055
absolute error = 3e-31
relative error = 1.9620218701948839932327121699648e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.619
y[1] (analytic) = 1.5292763062576757807175847619408
y[1] (numeric) = 1.529276306257675780717584761941
absolute error = 2e-31
relative error = 1.3078081389322261014431927516795e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.618
y[1] (analytic) = 1.5295169375834039038670318044531
y[1] (numeric) = 1.5295169375834039038670318044534
absolute error = 3e-31
relative error = 1.9614035819308547436129239669530e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.617
y[1] (analytic) = 1.5297568380411610417133831194267
y[1] (numeric) = 1.529756838041161041713383119427
absolute error = 3e-31
relative error = 1.9610959895047576483995728517548e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.616
y[1] (analytic) = 1.5299960079090369787352511455647
y[1] (numeric) = 1.529996007909036978735251145565
absolute error = 3e-31
relative error = 1.9607894298364465605859982547053e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.615
y[1] (analytic) = 1.5302344474650628405875193375053
y[1] (numeric) = 1.5302344474650628405875193375056
absolute error = 3e-31
relative error = 1.9604839016463807181398729187120e-29 %
Correct digits = 30
h = 0.001
memory used=267.0MB, alloc=4.4MB, time=13.60
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.614
y[1] (analytic) = 1.5304721569872111027269384799903
y[1] (numeric) = 1.5304721569872111027269384799905
absolute error = 2e-31
relative error = 1.3067862691060457856819701337437e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.613
y[1] (analytic) = 1.5307091367533955990367470065358
y[1] (numeric) = 1.5307091367533955990367470065361
absolute error = 3e-31
relative error = 1.9598759346030571390096056536154e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.612
y[1] (analytic) = 1.5309453870414715304503154124524
y[1] (numeric) = 1.5309453870414715304503154124526
absolute error = 2e-31
relative error = 1.3063823288072798676985823345578e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.611
y[1] (analytic) = 1.5311809081292354735738148520481
y[1] (numeric) = 1.5311809081292354735738148520484
absolute error = 3e-31
relative error = 1.9592720782192462819758351449873e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.61
y[1] (analytic) = 1.5314157002944253893079100098493
y[1] (numeric) = 1.5314157002944253893079100098496
absolute error = 3e-31
relative error = 1.9589716883686310634068150351984e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=270.8MB, alloc=4.4MB, time=14.01
x[1] = -0.609
y[1] (analytic) = 1.5316497638147206314684763356589
y[1] (numeric) = 1.5316497638147206314684763356592
absolute error = 3e-31
relative error = 1.9586723224036624935980622249792e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.608
y[1] (analytic) = 1.5318830989677419554063417332716
y[1] (numeric) = 1.5318830989677419554063417332718
absolute error = 2e-31
relative error = 1.3055826527152745507455957516323e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.607
y[1] (analytic) = 1.5321157060310515266260527926535
y[1] (numeric) = 1.5321157060310515266260527926537
absolute error = 2e-31
relative error = 1.3053844380859482034208317267761e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.606
y[1] (analytic) = 1.5323475852821529294036656553904
y[1] (numeric) = 1.5323475852821529294036656553907
absolute error = 3e-31
relative error = 1.9577803553281982936105187942206e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.605
y[1] (analytic) = 1.5325787369984911754035616031996
y[1] (numeric) = 1.5325787369984911754035616031999
absolute error = 3e-31
relative error = 1.9574850724311944448074677829023e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.604
y[1] (analytic) = 1.5328091614574527122942874592932
y[1] (numeric) = 1.5328091614574527122942874592934
absolute error = 2e-31
relative error = 1.3047938714682032778586104206097e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=274.6MB, alloc=4.4MB, time=14.40
x[1] = -0.603
y[1] (analytic) = 1.5330388589363654323634208923763
y[1] (numeric) = 1.5330388589363654323634208923765
absolute error = 2e-31
relative error = 1.3045983722732350865732309451213e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.602
y[1] (analytic) = 1.5332678297124986811314607130533
y[1] (numeric) = 1.5332678297124986811314607130537
absolute error = 4e-31
relative error = 2.6088070997681047556165963971317e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.601
y[1] (analytic) = 1.5334960740630632659647422524118
y[1] (numeric) = 1.5334960740630632659647422524121
absolute error = 3e-31
relative error = 1.9563141052271311150885181001107e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.6
y[1] (analytic) = 1.5337235922652114646873779125413
y[1] (numeric) = 1.5337235922652114646873779125416
absolute error = 3e-31
relative error = 1.9560238983930554528130795628838e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.599
y[1] (analytic) = 1.533950384596037034192222978746
y[1] (numeric) = 1.5339503845960370341922229787462
absolute error = 2e-31
relative error = 1.3038231354051886500012677085371e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=278.4MB, alloc=4.4MB, time=14.79
x[1] = -0.598
y[1] (analytic) = 1.5341764513325752190508667831932
y[1] (numeric) = 1.5341764513325752190508667831935
absolute error = 3e-31
relative error = 1.9554465181591207632745600403049e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.597
y[1] (analytic) = 1.5344017927518027601226493097413
y[1] (numeric) = 1.5344017927518027601226493097415
absolute error = 2e-31
relative error = 1.3034395615591607311983425371852e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.596
y[1] (analytic) = 1.5346264091306379031627033296767
y[1] (numeric) = 1.534626409130637903162703329677
absolute error = 3e-31
relative error = 1.9548731744421710049835700504774e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.595
y[1] (analytic) = 1.5348503007459404074290221580895
y[1] (numeric) = 1.5348503007459404074290221580897
absolute error = 2e-31
relative error = 1.3030586755125212411166534786615e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.594
y[1] (analytic) = 1.5350734678745115542885531206029
y[1] (numeric) = 1.5350734678745115542885531206031
absolute error = 2e-31
relative error = 1.3028692384145193470921839632900e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.593
y[1] (analytic) = 1.5352959107930941558223168201718
y[1] (numeric) = 1.5352959107930941558223168201721
absolute error = 3e-31
relative error = 1.9540207063081914921998180827267e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=282.2MB, alloc=4.4MB, time=15.20
x[1] = -0.592
y[1] (analytic) = 1.5355176297783725634295522936538
y[1] (numeric) = 1.535517629778372563429552293654
absolute error = 2e-31
relative error = 1.3024923720925744405679269303445e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.591
y[1] (analytic) = 1.5357386251069726764308881478502
y[1] (numeric) = 1.5357386251069726764308881478504
absolute error = 2e-31
relative error = 1.3023049412856233624400156143139e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.59
y[1] (analytic) = 1.5359588970554619506705397647102
y[1] (numeric) = 1.5359588970554619506705397647105
absolute error = 3e-31
relative error = 1.9531772664953500893030832148638e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.589
y[1] (analytic) = 1.5361784459003494071175326653811
y[1] (numeric) = 1.5361784459003494071175326653814
absolute error = 3e-31
relative error = 1.9528981206618280175785042833992e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.588
y[1] (analytic) = 1.5363972719180856404659521227806
y[1] (numeric) = 1.5363972719180856404659521227809
absolute error = 3e-31
relative error = 1.9526199732538626992058860275117e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.587
y[1] (analytic) = 1.5366153753850628277342191123644
y[1] (numeric) = 1.5366153753850628277342191123648
absolute error = 4e-31
relative error = 2.6031237641349474343506765393095e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=286.1MB, alloc=4.4MB, time=15.61
TOP MAIN SOLVE Loop
x[1] = -0.586
y[1] (analytic) = 1.5368327565776147368633926907497
y[1] (numeric) = 1.53683275657761473686339269075
absolute error = 3e-31
relative error = 1.9520666690373806195891454082083e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.585
y[1] (analytic) = 1.5370494157720167353144988918516
y[1] (numeric) = 1.5370494157720167353144988918519
absolute error = 3e-31
relative error = 1.9517915098996243334914093034170e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.584
y[1] (analytic) = 1.5372653532444857986648862301832
y[1] (numeric) = 1.5372653532444857986648862301835
absolute error = 3e-31
relative error = 1.9515173445289257900906244088010e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.583
y[1] (analytic) = 1.5374805692711805192036079009593
y[1] (numeric) = 1.5374805692711805192036079009595
absolute error = 2e-31
relative error = 1.3008294478466611404294110764395e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.582
y[1] (analytic) = 1.537695064128201114525830766641
y[1] (numeric) = 1.5376950641282011145258307666412
absolute error = 2e-31
relative error = 1.3006479936474943887890411830175e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=289.9MB, alloc=4.4MB, time=16.01
x[1] = -0.581
y[1] (analytic) = 1.5379088380915894361262712195496
y[1] (numeric) = 1.5379088380915894361262712195499
absolute error = 3e-31
relative error = 1.9507007994847978198068726542961e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.58
y[1] (analytic) = 1.53812189143732897799165801017
y[1] (numeric) = 1.5381218914373289779916580101703
absolute error = 3e-31
relative error = 1.9504305976664759529639002835300e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.579
y[1] (analytic) = 1.5383342244413448851922221307589
y[1] (numeric) = 1.5383342244413448851922221307592
absolute error = 3e-31
relative error = 1.9501613838757748705765263588956e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.578
y[1] (analytic) = 1.5385458373795039624722138438662
y[1] (numeric) = 1.5385458373795039624722138438666
absolute error = 4e-31
relative error = 2.5998575426344894531126917676516e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.577
y[1] (analytic) = 1.5387567305276146828394469453691
y[1] (numeric) = 1.5387567305276146828394469453694
absolute error = 3e-31
relative error = 1.9496259158335890695093139371766e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.576
y[1] (analytic) = 1.5389669041614271961538703516122
y[1] (numeric) = 1.5389669041614271961538703516125
absolute error = 3e-31
relative error = 1.9493596593194315606286749871885e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=293.7MB, alloc=4.4MB, time=16.41
x[1] = -0.575
y[1] (analytic) = 1.5391763585566333377151671002423
y[1] (numeric) = 1.5391763585566333377151671002427
absolute error = 4e-31
relative error = 2.5987925150767066604746140815340e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.574
y[1] (analytic) = 1.5393850939888666368493808543157
y[1] (numeric) = 1.5393850939888666368493808543161
absolute error = 4e-31
relative error = 2.5984401275675398852246847601898e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.573
y[1] (analytic) = 1.5395931107337023254945699992512
y[1] (numeric) = 1.5395931107337023254945699992515
absolute error = 3e-31
relative error = 1.9485667863052024294304565599721e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.572
y[1] (analytic) = 1.5398004090666573467854894221952
y[1] (numeric) = 1.5398004090666573467854894221956
absolute error = 4e-31
relative error = 2.5977392761082463072745984505312e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.571
y[1] (analytic) = 1.5400069892631903636373000633582
y[1] (numeric) = 1.5400069892631903636373000633586
absolute error = 4e-31
relative error = 2.5973908091896274948796358199679e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=297.5MB, alloc=4.4MB, time=16.80
x[1] = -0.57
y[1] (analytic) = 1.5402128515987017673283063288728
y[1] (numeric) = 1.5402128515987017673283063288732
absolute error = 4e-31
relative error = 2.5970436461740347985233481935198e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.569
y[1] (analytic) = 1.5404179963485336860817214547198
y[1] (numeric) = 1.5404179963485336860817214547202
absolute error = 4e-31
relative error = 2.5966977855892066254128273716449e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.568
y[1] (analytic) = 1.54062242378796999364646091126
y[1] (numeric) = 1.5406224237879699936464609112604
absolute error = 4e-31
relative error = 2.5963532259676526628291846175681e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.567
y[1] (analytic) = 1.5408261341922363178769639379029
y[1] (numeric) = 1.5408261341922363178769639379033
absolute error = 4e-31
relative error = 2.5960099658466414634383003889036e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.566
y[1] (analytic) = 1.5410291278365000493120432974357
y[1] (numeric) = 1.541029127836500049312043297436
absolute error = 3e-31
relative error = 1.9467510028261410597839162470300e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.565
y[1] (analytic) = 1.5412314049958703497527633395302
y[1] (numeric) = 1.5412314049958703497527633395305
absolute error = 3e-31
relative error = 1.9464955037092813104454863359862e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=301.3MB, alloc=4.4MB, time=17.19
x[1] = -0.564
y[1] (analytic) = 1.5414329659453981608393464629389
y[1] (numeric) = 1.5414329659453981608393464629392
absolute error = 3e-31
relative error = 1.9462409759480052126617008849882e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.563
y[1] (analytic) = 1.5416338109600762126271080658813
y[1] (numeric) = 1.5416338109600762126271080658816
absolute error = 3e-31
relative error = 1.9459874184594484013460041441403e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.562
y[1] (analytic) = 1.5418339403148390321614200741184
y[1] (numeric) = 1.5418339403148390321614200741187
absolute error = 3e-31
relative error = 1.9457348301642696548944280473980e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.561
y[1] (analytic) = 1.5420333542845629520517031362045
y[1] (numeric) = 1.5420333542845629520517031362049
absolute error = 4e-31
relative error = 2.5939776133155224039329720357411e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.56
y[1] (analytic) = 1.5422320531440661190444475753984
y[1] (numeric) = 1.5422320531440661190444475753988
absolute error = 4e-31
relative error = 2.5936434091389902268229769346250e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=305.1MB, alloc=4.4MB, time=17.59
x[1] = -0.559
y[1] (analytic) = 1.542430037168108502595263187709
y[1] (numeric) = 1.5424300371681085025952631877094
absolute error = 4e-31
relative error = 2.5933104929309947406507791017804e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.558
y[1] (analytic) = 1.542627306631391903439957975545
y[1] (numeric) = 1.5426273066313919034399579755454
absolute error = 4e-31
relative error = 2.5929788632710836637684228502470e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.557
y[1] (analytic) = 1.5428238618085599621646459064292
y[1] (numeric) = 1.5428238618085599621646459064297
absolute error = 5e-31
relative error = 3.2408106484293026271281018911768e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.556
y[1] (analytic) = 1.543019702974198167774883786233
y[1] (numeric) = 1.5430197029741981677748837862334
absolute error = 4e-31
relative error = 2.5923194579368806619364286903656e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.555
y[1] (analytic) = 1.5432148304028338662638373363767
y[1] (numeric) = 1.5432148304028338662638373363771
absolute error = 4e-31
relative error = 2.5919916794448236156760784813050e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.554
y[1] (analytic) = 1.5434092443689362691794765644394
y[1] (numeric) = 1.5434092443689362691794765644399
absolute error = 5e-31
relative error = 3.2395814773316213830130037613391e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=309.0MB, alloc=4.4MB, time=17.98
x[1] = -0.553
y[1] (analytic) = 1.5436029451469164621908005176099
y[1] (numeric) = 1.5436029451469164621908005176103
absolute error = 4e-31
relative error = 2.5913399638009174050809627964883e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.552
y[1] (analytic) = 1.5437959330111274136530915084054
y[1] (numeric) = 1.5437959330111274136530915084058
absolute error = 4e-31
relative error = 2.5910160238588792116741078588980e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.551
y[1] (analytic) = 1.5439882082358639831721989020798
y[1] (numeric) = 1.5439882082358639831721989020803
absolute error = 5e-31
relative error = 3.2383667008136800038137810071935e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.55
y[1] (analytic) = 1.5441797710953629301678525551331
y[1] (numeric) = 1.5441797710953629301678525551335
absolute error = 4e-31
relative error = 2.5903719727934284268316177974938e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.549
y[1] (analytic) = 1.5443706218638029224360059943265
y[1] (numeric) = 1.5443706218638029224360059943269
absolute error = 4e-31
relative error = 2.5900518589071927411491189246588e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=312.8MB, alloc=4.4MB, time=18.38
x[1] = -0.548
y[1] (analytic) = 1.5445607608153045447102094256063
y[1] (numeric) = 1.5445607608153045447102094256067
absolute error = 4e-31
relative error = 2.5897330176176293000932264899767e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.547
y[1] (analytic) = 1.5447501882239303072220126623242
y[1] (numeric) = 1.5447501882239303072220126623246
absolute error = 4e-31
relative error = 2.5894154475546510846604678101901e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.546
y[1] (analytic) = 1.5449389043636846542603980621418
y[1] (numeric) = 1.5449389043636846542603980621422
absolute error = 4e-31
relative error = 2.5890991473526802790313765417899e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.545
y[1] (analytic) = 1.5451269095085139727302435619971
y[1] (numeric) = 1.5451269095085139727302435619975
absolute error = 4e-31
relative error = 2.5887841156506368919949632019953e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.544
y[1] (analytic) = 1.5453142039323066007098159005032
y[1] (numeric) = 1.5453142039323066007098159005037
absolute error = 5e-31
relative error = 3.2355879388649092791773019147868e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.543
y[1] (analytic) = 1.5455007879088928360072941171454
y[1] (numeric) = 1.5455007879088928360072941171459
absolute error = 5e-31
relative error = 3.2351973154055419688103158252510e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=316.6MB, alloc=4.4MB, time=18.80
x[1] = -0.542
y[1] (analytic) = 1.5456866617120449447163234176315
y[1] (numeric) = 1.545686661712044944716323417632
absolute error = 5e-31
relative error = 3.2348082725006262588426296307523e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.541
y[1] (analytic) = 1.5458718256154771697705994947485
y[1] (numeric) = 1.545871825615477169770599494749
absolute error = 5e-31
relative error = 3.2344208084711601719987593915691e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.54
y[1] (analytic) = 1.5460562798928457394974833940672
y[1] (numeric) = 1.5460562798928457394974833940676
absolute error = 4e-31
relative error = 2.5872279373149549875211757430041e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.539
y[1] (analytic) = 1.5462400248177488761706470138315
y[1] (numeric) = 1.5462400248177488761706470138319
absolute error = 4e-31
relative error = 2.5869204882802520690448784044652e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.538
y[1] (analytic) = 1.5464230606637268045617493283635
y[1] (numeric) = 1.5464230606637268045617493283639
absolute error = 4e-31
relative error = 2.5866142983429093181830394183019e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=320.4MB, alloc=4.4MB, time=19.19
x[1] = -0.537
y[1] (analytic) = 1.5466053877042617604911434243047
y[1] (numeric) = 1.5466053877042617604911434243051
absolute error = 4e-31
relative error = 2.5863093661774250710023896411089e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.536
y[1] (analytic) = 1.5467870062127779993776144390114
y[1] (numeric) = 1.5467870062127779993776144390118
absolute error = 4e-31
relative error = 2.5860056904626950834394462633042e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.535
y[1] (analytic) = 1.5469679164626418047871484904111
y[1] (numeric) = 1.5469679164626418047871484904115
absolute error = 4e-31
relative error = 2.5857032698820015945164304814473e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.534
y[1] (analytic) = 1.5471481187271614969807326876229
y[1] (numeric) = 1.5471481187271614969807326876232
absolute error = 3e-31
relative error = 1.9390515773422518245903054476235e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.533
y[1] (analytic) = 1.5473276132795874414611863116365
y[1] (numeric) = 1.5473276132795874414611863116369
absolute error = 4e-31
relative error = 2.5851021888777201658430985508599e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.532
y[1] (analytic) = 1.5475064003931120575190232553384
y[1] (numeric) = 1.5475064003931120575190232553387
absolute error = 3e-31
relative error = 1.9386026443818984695347383014257e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=324.2MB, alloc=4.4MB, time=19.60
x[1] = -0.531
y[1] (analytic) = 1.547684480340869826777345812164
y[1] (numeric) = 1.5476844803408698267773458121643
absolute error = 3e-31
relative error = 1.9383795845386166092390990531240e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used
Radius of convergence = 1.115
Order of pole = 6.79
TOP MAIN SOLVE Loop
x[1] = -0.53
y[1] (analytic) = 1.5478618533959373017357699026535
y[1] (numeric) = 1.5478618533959373017357699026539
absolute error = 4e-31
relative error = 2.5842099482096448344910141926165e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.529
y[1] (analytic) = 1.5480385198313331143133818281754
y[1] (numeric) = 1.5480385198313331143133818281758
absolute error = 4e-31
relative error = 2.5839150310263732333753941348141e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.528
y[1] (analytic) = 1.5482144799200179843907266410789
y[1] (numeric) = 1.5482144799200179843907266410793
absolute error = 4e-31
relative error = 2.5836213598820256764001692065274e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.527
y[1] (analytic) = 1.5483897339348947283508282205297
y[1] (numeric) = 1.5483897339348947283508282205301
absolute error = 4e-31
relative error = 2.5833289334945876953058708083955e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=328.0MB, alloc=4.4MB, time=20.00
x[1] = -0.526
y[1] (analytic) = 1.5485642821488082676192411432737
y[1] (numeric) = 1.548564282148808267619241143274
absolute error = 3e-31
relative error = 1.9372783129397510993057435933788e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.525
y[1] (analytic) = 1.5487381248345456372031344385689
y[1] (numeric) = 1.5487381248345456372031344385692
absolute error = 3e-31
relative error = 1.9370608574128664714455814667136e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.524
y[1] (analytic) = 1.5489112622648359942294073165184
y[1] (numeric) = 1.5489112622648359942294073165187
absolute error = 3e-31
relative error = 1.9368443325884048646754283486747e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.523
y[1] (analytic) = 1.549083694712350626481836959029
y[1] (numeric) = 1.5490836947123506264818369590294
absolute error = 4e-31
relative error = 2.5821716500235709068293056438476e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.522
y[1] (analytic) = 1.5492554224497029609372584626154
y[1] (numeric) = 1.5492554224497029609372584626157
absolute error = 3e-31
relative error = 1.9364140712551844524420661740175e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.521
y[1] (analytic) = 1.5494264457494485723007770222594
y[1] (numeric) = 1.5494264457494485723007770222597
absolute error = 3e-31
relative error = 1.9362003328586000898228072479739e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=331.8MB, alloc=4.4MB, time=20.41
x[1] = -0.52
y[1] (analytic) = 1.5495967648840851915400124455322
y[1] (numeric) = 1.5495967648840851915400124455325
absolute error = 3e-31
relative error = 1.9359875213887721446828817959945e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.519
y[1] (analytic) = 1.5497663801260527144183760861742
y[1] (numeric) = 1.5497663801260527144183760861744
absolute error = 2e-31
relative error = 1.2905170906064737433042963476714e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.518
y[1] (analytic) = 1.5499352917477332100273802863254
y[1] (numeric) = 1.5499352917477332100273802863257
absolute error = 3e-31
relative error = 1.9355646754885807758417695536680e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.517
y[1] (analytic) = 1.5501035000214509293179804165903
y[1] (numeric) = 1.5501035000214509293179804165906
absolute error = 3e-31
relative error = 1.9353546391956955418972911443679e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.516
y[1] (analytic) = 1.5502710052194723136309496031122
y[1] (numeric) = 1.5502710052194723136309496031124
absolute error = 2e-31
relative error = 1.2900970174030052395788534958840e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.515
y[1] (analytic) = 1.5504378076140060032262862308297
y[1] (numeric) = 1.5504378076140060032262862308299
absolute error = 2e-31
relative error = 1.2899582235277354190853105476136e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=335.7MB, alloc=4.4MB, time=20.81
TOP MAIN SOLVE Loop
x[1] = -0.514
y[1] (analytic) = 1.5506039074772028458116543120774
y[1] (numeric) = 1.5506039074772028458116543120776
absolute error = 2e-31
relative error = 1.2898200438911277710783176537906e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.513
y[1] (analytic) = 1.5507693050811559050698568096864
y[1] (numeric) = 1.5507693050811559050698568096866
absolute error = 2e-31
relative error = 1.2896824778817340927796944519210e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.512
y[1] (analytic) = 1.5509340006979004691853420037349
y[1] (numeric) = 1.5509340006979004691853420037351
absolute error = 2e-31
relative error = 1.2895455248901794487343018063590e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.511
y[1] (analytic) = 1.551097994599414059369742991091
y[1] (numeric) = 1.5510979945994140593697429910913
absolute error = 3e-31
relative error = 1.9341137764637357979633416031735e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.51
y[1] (analytic) = 1.5512612870576164383864504068832
y[1] (numeric) = 1.5512612870576164383864504068834
absolute error = 2e-31
relative error = 1.2892734555334240448855940959968e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=339.5MB, alloc=4.4MB, time=21.21
x[1] = -0.509
y[1] (analytic) = 1.5514238783443696190742184570261
y[1] (numeric) = 1.5514238783443696190742184570264
absolute error = 3e-31
relative error = 1.9337075069396926495121415159794e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.508
y[1] (analytic) = 1.5515857687314778728698043509257
y[1] (numeric) = 1.5515857687314778728698043509259
absolute error = 2e-31
relative error = 1.2890038309871389717390722966670e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.507
y[1] (analytic) = 1.5517469584906877383296412234747
y[1] (numeric) = 1.551746958490687738329641223475
absolute error = 3e-31
relative error = 1.9333049010245593087314743216196e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.506
y[1] (analytic) = 1.5519074478936880296505446354502
y[1] (numeric) = 1.5519074478936880296505446354505
absolute error = 3e-31
relative error = 1.9331049696756866123491575682885e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.505
y[1] (analytic) = 1.5520672372121098451894527414109
y[1] (numeric) = 1.5520672372121098451894527414112
absolute error = 3e-31
relative error = 1.9329059515415900876031065167417e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.504
y[1] (analytic) = 1.5522263267175265759822002141897
y[1] (numeric) = 1.5522263267175265759822002141899
absolute error = 2e-31
relative error = 1.2884718971552136729994681951144e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=343.3MB, alloc=4.4MB, time=21.61
x[1] = -0.503
y[1] (analytic) = 1.5523847166814539142613260150681
y[1] (numeric) = 1.5523847166814539142613260150683
absolute error = 2e-31
relative error = 1.2883404342419816559084604551939e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.502
y[1] (analytic) = 1.5525424073753498619729150987128
y[1] (numeric) = 1.552542407375349861972915098713
absolute error = 2e-31
relative error = 1.2882095783657848339650638002294e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.501
y[1] (analytic) = 1.552699399070614739292474141947
y[1] (numeric) = 1.5526993990706147392924741419472
absolute error = 2e-31
relative error = 1.2880793289397303450613983901348e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.5
y[1] (analytic) = 1.5528556920385911931398413854228
y[1] (numeric) = 1.552855692038591193139841385423
absolute error = 2e-31
relative error = 1.2879496853789402118745901932720e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.499
y[1] (analytic) = 1.5530112865505642056931306772547
y[1] (numeric) = 1.5530112865505642056931306772549
absolute error = 2e-31
relative error = 1.2878206471005466011493454196091e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=347.1MB, alloc=4.4MB, time=22.01
x[1] = -0.498
y[1] (analytic) = 1.5531661828777611029017098076656
y[1] (numeric) = 1.5531661828777611029017098076658
absolute error = 2e-31
relative error = 1.2876922135236871017962354837283e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.497
y[1] (analytic) = 1.5533203812913515629982132236912
y[1] (numeric) = 1.5533203812913515629982132236914
absolute error = 2e-31
relative error = 1.2875643840695000217347431158032e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.496
y[1] (analytic) = 1.5534738820624476250095892129814
y[1] (numeric) = 1.5534738820624476250095892129816
absolute error = 2e-31
relative error = 1.2874371581611197034104646749842e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.495
y[1] (analytic) = 1.55362668546210369726718164573
y[1] (numeric) = 1.5536266854621036972671816457302
absolute error = 2e-31
relative error = 1.2873105352236718579162064052572e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.494
y[1] (analytic) = 1.5537787917613165659158463637578
y[1] (numeric) = 1.553778791761316565915846363758
absolute error = 2e-31
relative error = 1.2871845146842689176470533190730e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used
Radius of convergence = 1.226
Order of pole = 5.147
TOP MAIN SOLVE Loop
x[1] = -0.493
y[1] (analytic) = 1.5539302012310254034221023057661
y[1] (numeric) = 1.5539302012310254034221023057664
absolute error = 3e-31
relative error = 1.9305886439580081111297429136899e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=350.9MB, alloc=4.4MB, time=22.41
x[1] = -0.492
y[1] (analytic) = 1.5540809141421117770813174577732
y[1] (numeric) = 1.5540809141421117770813174577734
absolute error = 2e-31
relative error = 1.2869342785179533339876989837697e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.491
y[1] (analytic) = 1.5542309307653996575239297177344
y[1] (numeric) = 1.5542309307653996575239297177346
absolute error = 2e-31
relative error = 1.2868100617551575938810171067882e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.49
y[1] (analytic) = 1.5543802513716554272207027633469
y[1] (numeric) = 1.5543802513716554272207027633472
absolute error = 3e-31
relative error = 1.9300296676779470992587396115492e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.489
y[1] (analytic) = 1.5545288762315878889870170120269
y[1] (numeric) = 1.5545288762315878889870170120271
absolute error = 2e-31
relative error = 1.2865634280453517234317859243297e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.488
y[1] (analytic) = 1.554676805615848274486195762041
y[1] (numeric) = 1.5546768056158482744861957620412
absolute error = 2e-31
relative error = 1.2864410099742547608016035551253e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=354.7MB, alloc=4.4MB, time=22.81
x[1] = -0.487
y[1] (analytic) = 1.5548240397950302527318666037723
y[1] (numeric) = 1.5548240397950302527318666037725
absolute error = 2e-31
relative error = 1.2863191903462314097943951442952e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.486
y[1] (analytic) = 1.5549705790396699385893581900865
y[1] (numeric) = 1.5549705790396699385893581900867
absolute error = 2e-31
relative error = 1.2861979686041227700757142082862e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.485
y[1] (analytic) = 1.5551164236202459012761324547622
y[1] (numeric) = 1.5551164236202459012761324547624
absolute error = 2e-31
relative error = 1.2860773441927156591673228469769e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.484
y[1] (analytic) = 1.5552615738071791728612523679409
y[1] (numeric) = 1.5552615738071791728612523679411
absolute error = 2e-31
relative error = 1.2859573165587381466700984770289e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.483
y[1] (analytic) = 1.555406029870833256763885317545
y[1] (numeric) = 1.5554060298708332567638853175452
absolute error = 2e-31
relative error = 1.2858378851508551062737934876614e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.482
y[1] (analytic) = 1.5555497920815141362508422056053
y[1] (numeric) = 1.5555497920815141362508422056056
absolute error = 3e-31
relative error = 1.9285785741294956782315286404252e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=358.5MB, alloc=4.4MB, time=23.22
x[1] = -0.481
y[1] (analytic) = 1.5556928607094702829331523484338
y[1] (numeric) = 1.555692860709470282933152348434
absolute error = 2e-31
relative error = 1.2856008088176893930264772224027e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.48
y[1] (analytic) = 1.5558352360248926652616742695672
y[1] (numeric) = 1.5558352360248926652616742695674
absolute error = 2e-31
relative error = 1.2854831627993807037861152324916e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.479
y[1] (analytic) = 1.5559769182979147570217424744057
y[1] (numeric) = 1.5559769182979147570217424744059
absolute error = 2e-31
relative error = 1.2853661108211056813445276253799e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.478
y[1] (analytic) = 1.5561179077986125458268502954579
y[1] (numeric) = 1.556117907798612545826850295458
absolute error = 1e-31
relative error = 6.4262482617057355896128834830027e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.477
y[1] (analytic) = 1.5562582047970045416113688971
y[1] (numeric) = 1.5562582047970045416113688971001
absolute error = 1e-31
relative error = 6.4256689340984914587042513909173e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=362.4MB, alloc=4.4MB, time=23.62
x[1] = -0.476
y[1] (analytic) = 1.5563978095630517851223025287506
y[1] (numeric) = 1.5563978095630517851223025287508
absolute error = 2e-31
relative error = 1.2850185137188586417082193668806e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.475
y[1] (analytic) = 1.5565367223666578564100801153526
y[1] (numeric) = 1.5565367223666578564100801153528
absolute error = 2e-31
relative error = 1.2849038325026294593784015178617e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.474
y[1] (analytic) = 1.5566749434776688833183832740493
y[1] (numeric) = 1.5566749434776688833183832740495
absolute error = 2e-31
relative error = 1.2847897426369095981110774216224e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.473
y[1] (analytic) = 1.5568124731658735499730108459352
y[1] (numeric) = 1.5568124731658735499730108459354
absolute error = 2e-31
relative error = 1.2846762435894911993744147482351e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.472
y[1] (analytic) = 1.5569493117010031052697800317522
y[1] (numeric) = 1.5569493117010031052697800317523
absolute error = 1e-31
relative error = 6.4228166741502771806307924005860e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.471
y[1] (analytic) = 1.5570854593527313713614642203979
y[1] (numeric) = 1.557085459352731371361464220398
absolute error = 1e-31
relative error = 6.4222550791508413660537528555564e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=366.2MB, alloc=4.4MB, time=24.02
x[1] = -0.47
y[1] (analytic) = 1.5572209163906747521437675991053
y[1] (numeric) = 1.5572209163906747521437675991054
absolute error = 1e-31
relative error = 6.4216964303163812235512193736691e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.469
y[1] (analytic) = 1.5573556830843922417403366341444
y[1] (numeric) = 1.5573556830843922417403366341444
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.468
y[1] (analytic) = 1.5574897597033854329868085108908
y[1] (numeric) = 1.5574897597033854329868085108909
absolute error = 1e-31
relative error = 6.4205879606582067787853347779593e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.467
y[1] (analytic) = 1.5576231465170985259138966221016
y[1] (numeric) = 1.5576231465170985259138966221018
absolute error = 2e-31
relative error = 1.2840076269231566419313052369829e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.466
y[1] (analytic) = 1.5577558437949183362295131932262
y[1] (numeric) = 1.5577558437949183362295131932262
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.465
y[1] (analytic) = 1.5578878518061743037999291335775
y[1] (numeric) = 1.5578878518061743037999291335776
absolute error = 1e-31
relative error = 6.4189472871274157202934704814189e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=370.0MB, alloc=4.4MB, time=24.42
TOP MAIN SOLVE Loop
x[1] = -0.464
y[1] (analytic) = 1.5580191708201385011299712021838
y[1] (numeric) = 1.5580191708201385011299712021839
absolute error = 1e-31
relative error = 6.4184062605186160256648439006903e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.463
y[1] (analytic) = 1.5581498011060256418422565771264
y[1] (numeric) = 1.5581498011060256418422565771265
absolute error = 1e-31
relative error = 6.4178681619069445357358376049691e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.462
y[1] (analytic) = 1.5582797429329930891554649171705
y[1] (numeric) = 1.5582797429329930891554649171706
absolute error = 1e-31
relative error = 6.4173329887341066843578933360454e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.461
y[1] (analytic) = 1.5584089965701408643616480044848
y[1] (numeric) = 1.5584089965701408643616480044849
absolute error = 1e-31
relative error = 6.4168007384510244963595369862219e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.46
y[1] (analytic) = 1.5585375622865116553025770572386
y[1] (numeric) = 1.5585375622865116553025770572387
absolute error = 1e-31
relative error = 6.4162714085178163052030200810629e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=373.8MB, alloc=4.4MB, time=24.82
x[1] = -0.459
y[1] (analytic) = 1.5586654403510908248451278008604
y[1] (numeric) = 1.5586654403510908248451278008606
absolute error = 2e-31
relative error = 1.2831489992807553104169162298132e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.458
y[1] (analytic) = 1.5587926310328064193557033867338
y[1] (numeric) = 1.5587926310328064193557033867339
absolute error = 1e-31
relative error = 6.4152214995873556661847042493893e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.457
y[1] (analytic) = 1.5589191346005291771736952470978
y[1] (numeric) = 1.5589191346005291771736952470979
absolute error = 1e-31
relative error = 6.4147009155561400257761681129240e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.456
y[1] (analytic) = 1.5590449513230725370839819749169
y[1] (numeric) = 1.559044951323072537083981974917
absolute error = 1e-31
relative error = 6.4141832418068319998990885707528e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.455
y[1] (analytic) = 1.5591700814691926467884663174727
y[1] (numeric) = 1.5591700814691926467884663174728
absolute error = 1e-31
relative error = 6.4136684758452300703135592377945e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.454
y[1] (analytic) = 1.5592945253075883713766503724279
y[1] (numeric) = 1.559294525307588371376650372428
absolute error = 1e-31
relative error = 6.4131566151862090334418908282832e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=377.6MB, alloc=4.4MB, time=25.23
x[1] = -0.453
y[1] (analytic) = 1.5594182831069013017952490751025
y[1] (numeric) = 1.5594182831069013017952490751026
absolute error = 1e-31
relative error = 6.4126476573537002820138380436187e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.452
y[1] (analytic) = 1.5595413551357157633168420656971
y[1] (numeric) = 1.5595413551357157633168420656972
absolute error = 1e-31
relative error = 6.4121415998806721661295847316421e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.451
y[1] (analytic) = 1.5596637416625588240075640251912
y[1] (numeric) = 1.5596637416625588240075640251913
absolute error = 1e-31
relative error = 6.4116384403091104334566330089759e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.45
y[1] (analytic) = 1.559785442955900303193833568637
y[1] (numeric) = 1.5597854429559003031938335686371
absolute error = 1e-31
relative error = 6.4111381761899987482781103038629e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.449
y[1] (analytic) = 1.5599064592841527799281207845616
y[1] (numeric) = 1.5599064592841527799281207845617
absolute error = 1e-31
relative error = 6.4106408050832992891113698548727e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=381.4MB, alloc=4.4MB, time=25.63
x[1] = -0.448
y[1] (analytic) = 1.5600267909156716014537535091864
y[1] (numeric) = 1.5600267909156716014537535091865
absolute error = 1e-31
relative error = 6.4101463245579334246171151295825e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.447
y[1] (analytic) = 1.5601464381187548916687624241613
y[1] (numeric) = 1.5601464381187548916687624241614
absolute error = 1e-31
relative error = 6.4096547321917624675206269453625e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.446
y[1] (analytic) = 1.5602654011616435595887650665087
y[1] (numeric) = 1.5602654011616435595887650665088
absolute error = 1e-31
relative error = 6.4091660255715685062680138198640e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.445
y[1] (analytic) = 1.5603836803125213078088888394624
y[1] (numeric) = 1.5603836803125213078088888394625
absolute error = 1e-31
relative error = 6.4086802022930353141417412897505e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.444
y[1] (analytic) = 1.5605012758395146409647331128812
y[1] (numeric) = 1.5605012758395146409647331128814
absolute error = 2e-31
relative error = 1.2816394519921458671122049300678e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.443
y[1] (analytic) = 1.5606181880106928741923705019094
y[1] (numeric) = 1.5606181880106928741923705019095
absolute error = 1e-31
relative error = 6.4077171961880807492939918236566e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=385.2MB, alloc=4.4MB, time=26.03
x[1] = -0.442
y[1] (analytic) = 1.5607344170940681415873874125489
y[1] (numeric) = 1.560734417094068141587387412549
absolute error = 1e-31
relative error = 6.4072400085973646083098388952663e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.441
y[1] (analytic) = 1.5608499633575954046629639428033
y[1] (numeric) = 1.5608499633575954046629639428035
absolute error = 2e-31
relative error = 1.2813531389639364112001020616199e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.44
y[1] (analytic) = 1.5609648270691724608069932280444
y[1] (numeric) = 1.5609648270691724608069932280445
absolute error = 1e-31
relative error = 6.4062942524949416185027388013456e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.439
y[1] (analytic) = 1.5610790084966399517382403192449
y[1] (numeric) = 1.5610790084966399517382403192451
absolute error = 2e-31
relative error = 1.2811651358543681145705153941479e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.438
y[1] (analytic) = 1.5611925079077813719615406827189
y[1] (numeric) = 1.5611925079077813719615406827191
absolute error = 2e-31
relative error = 1.2810719945615692781411685679547e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=389.1MB, alloc=4.4MB, time=26.44
x[1] = -0.437
y[1] (analytic) = 1.5613053255703230772220384099958
y[1] (numeric) = 1.561305325570323077222038409996
absolute error = 2e-31
relative error = 1.2809794261538356514718372211276e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.436
y[1] (analytic) = 1.5614174617519342929584642264568
y[1] (numeric) = 1.561417461751934292958464226457
absolute error = 2e-31
relative error = 1.2808874301661577331615519589879e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.435
y[1] (analytic) = 1.5615289167202271227554533873485
y[1] (numeric) = 1.5615289167202271227554533873486
absolute error = 1e-31
relative error = 6.4039800306763450855767539682561e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.434
y[1] (analytic) = 1.5616396907427565567949035497838
y[1] (numeric) = 1.561639690742756556794903549784
absolute error = 2e-31
relative error = 1.2807051535996423412130627769752e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.433
y[1] (analytic) = 1.5617497840870204803063727093356
y[1] (numeric) = 1.5617497840870204803063727093358
absolute error = 2e-31
relative error = 1.2806148720994862508285249429680e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.432
y[1] (analytic) = 1.5618591970204596820165172898169
y[1] (numeric) = 1.5618591970204596820165172898171
absolute error = 2e-31
relative error = 1.2805251611767413771474396999836e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=392.9MB, alloc=4.4MB, time=26.84
x[1] = -0.431
y[1] (analytic) = 1.5619679298104578625975704748399
y[1] (numeric) = 1.5619679298104578625975704748401
absolute error = 2e-31
relative error = 1.2804360203750768302323293306149e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.43
y[1] (analytic) = 1.5620759827243416431148608697349
y[1] (numeric) = 1.5620759827243416431148608697351
absolute error = 2e-31
relative error = 1.2803474492398866067832925764339e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.429
y[1] (analytic) = 1.5621833560293805734733715824055
y[1] (numeric) = 1.5621833560293805734733715824056
absolute error = 1e-31
relative error = 6.4012972365914300627175770624039e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.428
y[1] (analytic) = 1.5622900499927871408633398116889
y[1] (numeric) = 1.5622900499927871408633398116891
absolute error = 2e-31
relative error = 1.2801720141591080992987340595375e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.427
y[1] (analytic) = 1.5623960648817167782048970317846
y[1] (numeric) = 1.5623960648817167782048970317848
absolute error = 2e-31
relative error = 1.2800851493129001164200930475389e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=396.7MB, alloc=4.4MB, time=27.24
x[1] = -0.426
y[1] (analytic) = 1.5625014009632678725917498613041
y[1] (numeric) = 1.5625014009632678725917498613043
absolute error = 2e-31
relative error = 1.2799988523319199769000847377419e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.425
y[1] (analytic) = 1.5626060585044817737339017054929
y[1] (numeric) = 1.5626060585044817737339017054931
absolute error = 2e-31
relative error = 1.2799131227701327378314991412184e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.424
y[1] (analytic) = 1.5627100377723428023994152601641
y[1] (numeric) = 1.5627100377723428023994152601642
absolute error = 1e-31
relative error = 6.3991398009160354763977707177280e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.423
y[1] (analytic) = 1.5628133390337782588552159658789
y[1] (numeric) = 1.5628133390337782588552159658791
absolute error = 2e-31
relative error = 1.2797433641285118934976163668866e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.422
y[1] (analytic) = 1.5629159625556584313069365009028
y[1] (numeric) = 1.5629159625556584313069365009029
absolute error = 1e-31
relative error = 6.3982966708255632421858093879231e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.421
y[1] (analytic) = 1.5630179086047966043378024014546
y[1] (numeric) = 1.5630179086047966043378024014548
absolute error = 2e-31
relative error = 1.2795758698537680855028637865129e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=400.5MB, alloc=4.4MB, time=27.64
x[1] = -0.42
y[1] (analytic) = 1.563119177447949067346558897768
y[1] (numeric) = 1.5631191774479490673465588977681
absolute error = 1e-31
relative error = 6.3974648537846334575196524861840e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.419
y[1] (analytic) = 1.5632197693518151229844390544662
y[1] (numeric) = 1.5632197693518151229844390544663
absolute error = 1e-31
relative error = 6.3970531821936164037652697003728e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.418
y[1] (analytic) = 1.5633196845830370955911733037554
y[1] (numeric) = 1.5633196845830370955911733037555
absolute error = 1e-31
relative error = 6.3966443323248778763228079739769e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.417
y[1] (analytic) = 1.5634189234082003396300404599261
y[1] (numeric) = 1.5634189234082003396300404599262
absolute error = 1e-31
relative error = 6.3962383020159039950179972871181e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.416
y[1] (analytic) = 1.5635174860938332481219603036514
y[1] (numeric) = 1.5635174860938332481219603036515
absolute error = 1e-31
relative error = 6.3958350891125614306920267687919e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.415
y[1] (analytic) = 1.5636153729064072610786278245603
y[1] (numeric) = 1.5636153729064072610786278245604
absolute error = 1e-31
relative error = 6.3954346914690805162398157506595e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=404.3MB, alloc=4.4MB, time=28.03
TOP MAIN SOLVE Loop
x[1] = -0.414
y[1] (analytic) = 1.5637125841123368739346892105589
y[1] (numeric) = 1.563712584112336873934689210559
absolute error = 1e-31
relative error = 6.3950371069480384271877923344881e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.413
y[1] (analytic) = 1.5638091199779796459789596723656
y[1] (numeric) = 1.5638091199779796459789596723657
absolute error = 1e-31
relative error = 6.3946423334203424315749273421199e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.412
y[1] (analytic) = 1.5639049807696362087846831917185
y[1] (numeric) = 1.5639049807696362087846831917186
absolute error = 1e-31
relative error = 6.3942503687652132089019109559836e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.411
y[1] (analytic) = 1.5640001667535502746388342817076
y[1] (numeric) = 1.5640001667535502746388342817077
absolute error = 1e-31
relative error = 6.3938612108701682379144934258972e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.41
y[1] (analytic) = 1.5640946781959086449704618476762
y[1] (numeric) = 1.5640946781959086449704618476763
absolute error = 1e-31
relative error = 6.3934748576310052529881399450183e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=408.1MB, alloc=4.4MB, time=28.43
x[1] = -0.409
y[1] (analytic) = 1.5641885153628412187780752371302
y[1] (numeric) = 1.5641885153628412187780752371303
absolute error = 1e-31
relative error = 6.3930913069517857688822732148063e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.408
y[1] (analytic) = 1.5642816785204210010560725670862
y[1] (numeric) = 1.5642816785204210010560725670863
absolute error = 1e-31
relative error = 6.3927105567448186736334953561659e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.407
y[1] (analytic) = 1.5643741679346641112202114172833
y[1] (numeric) = 1.5643741679346641112202114172834
absolute error = 1e-31
relative error = 6.3923326049306438893582937117226e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.406
y[1] (analytic) = 1.5644659838715297915321219776755
y[1] (numeric) = 1.5644659838715297915321219776756
absolute error = 1e-31
relative error = 6.3919574494380161007368427524688e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.405
y[1] (analytic) = 1.5645571265969204155228627386158
y[1] (numeric) = 1.5645571265969204155228627386159
absolute error = 1e-31
relative error = 6.3915850882038885509506167806356e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.404
y[1] (analytic) = 1.5646475963766814964155188121362
y[1] (numeric) = 1.5646475963766814964155188121362
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=412.0MB, alloc=4.4MB, time=28.83
x[1] = -0.403
y[1] (analytic) = 1.5647373934766016955468429727189
y[1] (numeric) = 1.5647373934766016955468429727189
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.402
y[1] (analytic) = 1.5648265181624128307879395059512
y[1] (numeric) = 1.5648265181624128307879395059512
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.401
y[1] (analytic) = 1.5649149706997898849639909534446
y[1] (numeric) = 1.5649149706997898849639909534446
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.4
y[1] (analytic) = 1.5650027513543510142730278423965
y[1] (numeric) = 1.5650027513543510142730278423965
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.399
y[1] (analytic) = 1.5650898603916575567037414881626
y[1] (numeric) = 1.5650898603916575567037414881626
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=415.8MB, alloc=4.4MB, time=29.23
x[1] = -0.398
y[1] (analytic) = 1.5651762980772140404523399582032
y[1] (numeric) = 1.5651762980772140404523399582032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.397
y[1] (analytic) = 1.5652620646764681923384472857586
y[1] (numeric) = 1.5652620646764681923384472857587
absolute error = 1e-31
relative error = 6.3887065467640715982558334366614e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.396
y[1] (analytic) = 1.5653471604548109462200460216031
y[1] (numeric) = 1.5653471604548109462200460216032
absolute error = 1e-31
relative error = 6.3883592423641694205308270361512e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.395
y[1] (analytic) = 1.5654315856775764514074632122179
y[1] (numeric) = 1.565431585677576451407463212218
absolute error = 1e-31
relative error = 6.3880147120397035172108589628675e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.394
y[1] (analytic) = 1.5655153406100420810763998927203
y[1] (numeric) = 1.5655153406100420810763998927204
absolute error = 1e-31
relative error = 6.3876729538167608744211914110562e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.393
y[1] (analytic) = 1.5655984255174284406800041828752
y[1] (numeric) = 1.5655984255174284406800041828754
absolute error = 2e-31
relative error = 1.2774667931458875536375414710081e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=419.6MB, alloc=4.4MB, time=29.63
x[1] = -0.392
y[1] (analytic) = 1.5656808406648993763599880745116
y[1] (numeric) = 1.5656808406648993763599880745117
absolute error = 1e-31
relative error = 6.3869977458198244170834645432744e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.391
y[1] (analytic) = 1.5657625863175619833567879986567
y[1] (numeric) = 1.5657625863175619833567879986569
absolute error = 2e-31
relative error = 1.2773328584275979398519979082685e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.39
y[1] (analytic) = 1.5658436627404666144187692606989
y[1] (numeric) = 1.5658436627404666144187692606991
absolute error = 2e-31
relative error = 1.2772667205483931867303921389834e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.389
y[1] (analytic) = 1.5659240701986068882104744318748
y[1] (numeric) = 1.565924070198606888210474431875
absolute error = 2e-31
relative error = 1.2772011351395467450289904490266e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.388
y[1] (analytic) = 1.5660038089569196977199157853795
y[1] (numeric) = 1.5660038089569196977199157853796
absolute error = 1e-31
relative error = 6.3856805090792068734969304817531e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=423.4MB, alloc=4.4MB, time=30.03
x[1] = -0.387
y[1] (analytic) = 1.5660828792802852186649118653827
y[1] (numeric) = 1.5660828792802852186649118653829
absolute error = 2e-31
relative error = 1.2770716201936434691610413581577e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.386
y[1] (analytic) = 1.5661612814335269178984682772349
y[1] (numeric) = 1.566161281433526917898468277235
absolute error = 1e-31
relative error = 6.3850384494545003123115617695238e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used
Radius of convergence = 1.949
Order of pole = 6.332
TOP MAIN SOLVE Loop
x[1] = -0.385
y[1] (analytic) = 1.5662390156814115618132027871319
y[1] (numeric) = 1.566239015681411561813202787132
absolute error = 1e-31
relative error = 6.3847215526356792453392592697441e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.384
y[1] (analytic) = 1.5663160822886492247448148195091
y[1] (numeric) = 1.5663160822886492247448148195091
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.383
y[1] (analytic) = 1.5663924815198932973745994404204
y[1] (numeric) = 1.5663924815198932973745994404205
absolute error = 1e-31
relative error = 6.3840960155125714445632143530041e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.382
y[1] (analytic) = 1.5664682136397404951310059151588
y[1] (numeric) = 1.5664682136397404951310059151588
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=427.2MB, alloc=4.4MB, time=30.43
x[1] = -0.381
y[1] (analytic) = 1.566543278912730866590240928359
y[1] (numeric) = 1.5665432789127308665902409283591
absolute error = 1e-31
relative error = 6.3834814745370854809432318716760e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.38
y[1] (analytic) = 1.5666176776033478018759165548274
y[1] (numeric) = 1.5666176776033478018759165548275
absolute error = 1e-31
relative error = 6.3831783229321517414978631120714e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.379
y[1] (analytic) = 1.5666914099760180410577430693247
y[1] (numeric) = 1.5666914099760180410577430693248
absolute error = 1e-31
relative error = 6.3828779147726825897931724833192e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.378
y[1] (analytic) = 1.5667644762951116825492666835318
y[1] (numeric) = 1.5667644762951116825492666835319
absolute error = 1e-31
relative error = 6.3825802482111076431788486931637e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.377
y[1] (analytic) = 1.5668368768249421915046522984137
y[1] (numeric) = 1.5668368768249421915046522984138
absolute error = 1e-31
relative error = 6.3822853214076278609044029875976e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=431.0MB, alloc=4.4MB, time=30.82
x[1] = -0.376
y[1] (analytic) = 1.5669086118297664082145113601943
y[1] (numeric) = 1.5669086118297664082145113601944
absolute error = 1e-31
relative error = 6.3819931325302012021240573611134e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.375
y[1] (analytic) = 1.5669796815737845565007749081465
y[1] (numeric) = 1.5669796815737845565007749081466
absolute error = 1e-31
relative error = 6.3817036797545283450249695295910e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.374
y[1] (analytic) = 1.5670500863211402521106119023947
y[1] (numeric) = 1.5670500863211402521106119023948
absolute error = 1e-31
relative error = 6.3814169612640384668832670471186e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.373
y[1] (analytic) = 1.5671198263359205111093929199212
y[1] (numeric) = 1.5671198263359205111093929199213
absolute error = 1e-31
relative error = 6.3811329752498750848533141078657e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.372
y[1] (analytic) = 1.5671889018821557582726993069599
y[1] (numeric) = 1.5671889018821557582726993069599
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.371
y[1] (analytic) = 1.5672573132238198354773778759541
y[1] (numeric) = 1.5672573132238198354773778759541
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=434.8MB, alloc=4.4MB, time=31.22
x[1] = -0.37
y[1] (analytic) = 1.56732506062483001009164123525
y[1] (numeric) = 1.5673250606248300100916412352501
absolute error = 1e-31
relative error = 6.3802973940921985352940756997870e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.369
y[1] (analytic) = 1.5673921443490469833642138396875
y[1] (numeric) = 1.5673921443490469833642138396876
absolute error = 1e-31
relative error = 6.3800243200485709192738730176138e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.368
y[1] (analytic) = 1.5674585646602748988125238502453
y[1] (numeric) = 1.5674585646602748988125238502454
absolute error = 1e-31
relative error = 6.3797539695522111379431121129540e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.367
y[1] (analytic) = 1.567524321822261350609940890891
y[1] (numeric) = 1.5675243218222613506099408908911
absolute error = 1e-31
relative error = 6.3794863408402547810822913459626e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.366
y[1] (analytic) = 1.5675894160986973919720597907775
y[1] (numeric) = 1.5675894160986973919720597907776
absolute error = 1e-31
relative error = 6.3792214321574543482588753992703e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=438.7MB, alloc=4.4MB, time=31.62
x[1] = -0.365
y[1] (analytic) = 1.5676538477532175435420303999222
y[1] (numeric) = 1.5676538477532175435420303999222
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.364
y[1] (analytic) = 1.5677176170493998017749335664979
y[1] (numeric) = 1.5677176170493998017749335664979
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.363
y[1] (analytic) = 1.5677807242507656473212033638584
y[1] (numeric) = 1.5677807242507656473212033638584
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.362
y[1] (analytic) = 1.5678431696207800534090956554123
y[1] (numeric) = 1.5678431696207800534090956554123
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.361
y[1] (analytic) = 1.5679049534228514942262030854556
y[1] (numeric) = 1.5679049534228514942262030854555
absolute error = 1e-31
relative error = 6.3779376282785934561690685203673e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.36
y[1] (analytic) = 1.5679660759203319533000165840625
y[1] (numeric) = 1.5679660759203319533000165840625
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=442.5MB, alloc=4.4MB, time=32.04
x[1] = -0.359
y[1] (analytic) = 1.5680265373765169318775334741318
y[1] (numeric) = 1.5680265373765169318775334741318
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.358
y[1] (analytic) = 1.5680863380546454573039122686735
y[1] (numeric) = 1.5680863380546454573039122686735
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.357
y[1] (analytic) = 1.5681454782179000914001742464197
y[1] (numeric) = 1.5681454782179000914001742464197
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.356
y[1] (analytic) = 1.5682039581294069388399518938322
y[1] (numeric) = 1.5682039581294069388399518938322
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.355
y[1] (analytic) = 1.5682617780522356555252843015743
y[1] (numeric) = 1.5682617780522356555252843015744
absolute error = 1e-31
relative error = 6.3764864641538946245980746300265e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.354
y[1] (analytic) = 1.5683189382493994569614596035086
y[1] (numeric) = 1.5683189382493994569614596035086
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
memory used=446.3MB, alloc=4.4MB, time=32.45
TOP MAIN SOLVE Loop
x[1] = -0.353
y[1] (analytic) = 1.5683754389838551266309045462713
y[1] (numeric) = 1.5683754389838551266309045462713
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.352
y[1] (analytic) = 1.5684312805185030243661212774739
y[1] (numeric) = 1.5684312805185030243661212774739
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.351
y[1] (analytic) = 1.568486463116187094721671440569
y[1] (numeric) = 1.568486463116187094721671440569
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Complex estimate of poles used
Radius of convergence = 1.143
Order of pole = 5.824
TOP MAIN SOLVE Loop
x[1] = -0.35
y[1] (analytic) = 1.5685409870396948753452076644143
y[1] (numeric) = 1.5685409870396948753452076644143
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.349
y[1] (analytic) = 1.5685948525517575053475525355614
y[1] (numeric) = 1.5685948525517575053475525355615
absolute error = 1e-31
relative error = 6.3751324848046057490975795066141e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=450.1MB, alloc=4.4MB, time=32.88
x[1] = -0.348
y[1] (analytic) = 1.5686480599150497336718251412882
y[1] (numeric) = 1.5686480599150497336718251412882
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.347
y[1] (analytic) = 1.5687006093921899274616152713868
y[1] (numeric) = 1.5687006093921899274616152713869
absolute error = 1e-31
relative error = 6.3747026935079782410180364288134e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.346
y[1] (analytic) = 1.568752501245740080428205366715
y[1] (numeric) = 1.5687525012457400804282053667151
absolute error = 1e-31
relative error = 6.3744918284171913905977074858477e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.345
y[1] (analytic) = 1.5688037357382058212168403025067
y[1] (numeric) = 1.5688037357382058212168403025067
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.344
y[1] (analytic) = 1.5688543131320364217720450944351
y[1] (numeric) = 1.5688543131320364217720450944352
absolute error = 1e-31
relative error = 6.3740781513588441967710013601876e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.343
y[1] (analytic) = 1.5689042336896248057019906154152
y[1] (numeric) = 1.5689042336896248057019906154153
absolute error = 1e-31
relative error = 6.3738753362165334024520813723291e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=453.9MB, alloc=4.4MB, time=33.26
x[1] = -0.342
y[1] (analytic) = 1.5689534976733075566419074111199
y[1] (numeric) = 1.56895349767330755664190741112
absolute error = 1e-31
relative error = 6.3736752012278132698742335639138e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.341
y[1] (analytic) = 1.5690021053453649266165477021849
y[1] (numeric) = 1.5690021053453649266165477021849
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.34
y[1] (analytic) = 1.5690500569680208444016956610648
y[1] (numeric) = 1.5690500569680208444016956610648
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.339
y[1] (analytic) = 1.569097352803442923884726051499
y[1] (numeric) = 1.569097352803442923884726051499
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.338
y[1] (analytic) = 1.5691439931137424724242113185376
y[1] (numeric) = 1.5691439931137424724242113185376
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=457.7MB, alloc=4.4MB, time=33.64
x[1] = -0.337
y[1] (analytic) = 1.5691899781609744992085772170719
y[1] (numeric) = 1.5691899781609744992085772170719
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.336
y[1] (analytic) = 1.5692353082071377236138070668062
y[1] (numeric) = 1.5692353082071377236138070668062
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.335
y[1] (analytic) = 1.5692799835141745835601947216012
y[1] (numeric) = 1.5692799835141745835601947216012
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.334
y[1] (analytic) = 1.5693240043439712438681463411132
y[1] (numeric) = 1.5693240043439712438681463411132
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.333
y[1] (analytic) = 1.5693673709583576046130310526445
y[1] (numeric) = 1.5693673709583576046130310526444
absolute error = 1e-31
relative error = 6.3719943367328650211714876514621e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.332
y[1] (analytic) = 1.5694100836191073094790805911154
y[1] (numeric) = 1.5694100836191073094790805911153
absolute error = 1e-31
relative error = 6.3718209181756347202375899779571e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=461.5MB, alloc=4.4MB, time=34.04
x[1] = -0.331
y[1] (analytic) = 1.5694521425879377541123380050613
y[1] (numeric) = 1.5694521425879377541123380050613
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.33
y[1] (analytic) = 1.56949354812651009447265551655
y[1] (numeric) = 1.5694935481265100944726555165499
absolute error = 1e-31
relative error = 6.3714820694464831284948326163628e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.329
y[1] (analytic) = 1.569534300496429255184741622908
y[1] (numeric) = 1.569534300496429255184741622908
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.328
y[1] (analytic) = 1.5695743999592439378882575281409
y[1] (numeric) = 1.5695743999592439378882575281408
absolute error = 1e-31
relative error = 6.3711538620021218124628092824750e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.327
y[1] (analytic) = 1.5696138467764466295869629919192
y[1] (numeric) = 1.5696138467764466295869629919192
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.326
memory used=465.4MB, alloc=4.4MB, time=34.44
y[1] (analytic) = 1.5696526412094736109969116840029
y[1] (numeric) = 1.5696526412094736109969116840028
absolute error = 1e-31
relative error = 6.3708362840676913297444603760177e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.325
y[1] (analytic) = 1.5696907835197049648936961319619
y[1] (numeric) = 1.5696907835197049648936961319618
absolute error = 1e-31
relative error = 6.3706814775181904131608120983429e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.324
y[1] (analytic) = 1.5697282739684645844587423500519
y[1] (numeric) = 1.5697282739684645844587423500518
absolute error = 1e-31
relative error = 6.3705293239821564744584224058138e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.323
y[1] (analytic) = 1.5697651128170201816246542370906
y[1] (numeric) = 1.5697651128170201816246542370905
absolute error = 1e-31
relative error = 6.3703798220196851468791238545711e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.322
y[1] (analytic) = 1.5698013003265832954196078311767
y[1] (numeric) = 1.5698013003265832954196078311767
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.321
y[1] (analytic) = 1.5698368367583093003107955090871
y[1] (numeric) = 1.569836836758309300310795509087
absolute error = 1e-31
relative error = 6.3700887670911440149882280915575e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=469.2MB, alloc=4.4MB, time=34.84
x[1] = -0.32
y[1] (analytic) = 1.5698717223732974145469202181775
y[1] (numeric) = 1.5698717223732974145469202181774
absolute error = 1e-31
relative error = 6.3699472112805629447656241722418e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.319
y[1] (analytic) = 1.5699059574325907084997398286106
y[1] (numeric) = 1.5699059574325907084997398286105
absolute error = 1e-31
relative error = 6.3698083013544996147240765861235e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.318
y[1] (analytic) = 1.5699395421971761130046616937228
y[1] (numeric) = 1.5699395421971761130046616937227
absolute error = 1e-31
relative error = 6.3696720359082801080534319350450e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.317
y[1] (analytic) = 1.5699724769279844277003875063381
y[1] (numeric) = 1.5699724769279844277003875063379
absolute error = 2e-31
relative error = 1.2739076827088486538016875710977e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.316
y[1] (analytic) = 1.5700047618858903293676085388293
y[1] (numeric) = 1.5700047618858903293676085388292
absolute error = 1e-31
relative error = 6.3694074328717297128099405746409e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.315
y[1] (analytic) = 1.5700363973317123802667513547203
y[1] (numeric) = 1.5700363973317123802667513547202
absolute error = 1e-31
relative error = 6.3692790925070708864854586698459e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=473.0MB, alloc=4.4MB, time=35.24
TOP MAIN SOLVE Loop
x[1] = -0.314
y[1] (analytic) = 1.5700673835262130364747740796148
y[1] (numeric) = 1.5700673835262130364747740796146
absolute error = 2e-31
relative error = 1.2738306782147156361007683180539e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.313
y[1] (analytic) = 1.5700977207300986562210133192324
y[1] (numeric) = 1.5700977207300986562210133192323
absolute error = 1e-31
relative error = 6.3690303272015320910594537047477e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.312
y[1] (analytic) = 1.5701274092040195082220818123256
y[1] (numeric) = 1.5701274092040195082220818123255
absolute error = 1e-31
relative error = 6.3689098995281714328620537947072e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.311
y[1] (analytic) = 1.5701564492085697800158169062418
y[1] (numeric) = 1.5701564492085697800158169062416
absolute error = 2e-31
relative error = 1.2737584213395365204578532066400e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.31
y[1] (analytic) = 1.570184841004287586294279942891
y[1] (numeric) = 1.5701848410042875862942799428908
absolute error = 2e-31
relative error = 1.2737353894722377781518523195586e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=476.8MB, alloc=4.4MB, time=35.63
x[1] = -0.309
y[1] (analytic) = 1.5702125848516549772358066428724
y[1] (numeric) = 1.5702125848516549772358066428722
absolute error = 2e-31
relative error = 1.2737128840353479696363980347292e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.308
y[1] (analytic) = 1.570239681011097946836108575503
y[1] (numeric) = 1.5702396810110979468361085755029
absolute error = 1e-31
relative error = 6.3684545238093006963480177307507e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.307
y[1] (analytic) = 1.5702661297429864412384258024899
y[1] (numeric) = 1.5702661297429864412384258024898
absolute error = 1e-31
relative error = 6.3683472569307417921147411230435e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.306
y[1] (analytic) = 1.570291931307634367062730782976
y[1] (numeric) = 1.5702919313076343670627307829758
absolute error = 2e-31
relative error = 1.2736485236439656280500922548017e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.305
y[1] (analytic) = 1.5703170859652995997339836276851
y[1] (numeric) = 1.5703170859652995997339836276849
absolute error = 2e-31
relative error = 1.2736281212724417911595010000605e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.304
y[1] (analytic) = 1.5703415939761839918094387898854
y[1] (numeric) = 1.5703415939761839918094387898853
absolute error = 1e-31
relative error = 6.3680412200504072758162908987027e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=480.6MB, alloc=4.4MB, time=36.01
x[1] = -0.303
y[1] (analytic) = 1.5703654556004333813050032808816
y[1] (numeric) = 1.5703654556004333813050032808814
absolute error = 2e-31
relative error = 1.2735888915967619240745874398036e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.302
y[1] (analytic) = 1.5703886710981376000206464977403
y[1] (numeric) = 1.5703886710981376000206464977401
absolute error = 2e-31
relative error = 1.2735700637737311405267418166312e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.301
y[1] (analytic) = 1.5704112407293304818648617509479
y[1] (numeric) = 1.5704112407293304818648617509477
absolute error = 2e-31
relative error = 1.2735517602836056375860599409639e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used
Radius of convergence = 1.75
Order of pole = 32.18
TOP MAIN SOLVE Loop
x[1] = -0.3
y[1] (analytic) = 1.5704331647539898711781795796907
y[1] (numeric) = 1.5704331647539898711781795796904
absolute error = 3e-31
relative error = 1.9103009713055527504981899095441e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.299
y[1] (analytic) = 1.5704544434320376310557329424409
y[1] (numeric) = 1.5704544434320376310557329424406
absolute error = 3e-31
relative error = 1.9102750879190510057671703070083e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=484.4MB, alloc=4.4MB, time=36.38
x[1] = -0.298
y[1] (analytic) = 1.5704750770233396516688743705276
y[1] (numeric) = 1.5704750770233396516688743705274
absolute error = 2e-31
relative error = 1.2734999932573122609045138462109e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.297
y[1] (analytic) = 1.570495065787705858585845172362
y[1] (numeric) = 1.5704950657877058585858451723618
absolute error = 2e-31
relative error = 1.2734837845522738793796207380830e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.296
y[1] (analytic) = 1.5705144099848902210914967759798
y[1] (numeric) = 1.5705144099848902210914967759796
absolute error = 2e-31
relative error = 1.2734680989136812959402375932955e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.295
y[1] (analytic) = 1.5705331098745907605060642975595
y[1] (numeric) = 1.5705331098745907605060642975592
absolute error = 3e-31
relative error = 1.9101794041384801791093637342349e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.294
y[1] (analytic) = 1.570551165716449558502992423565
y[1] (numeric) = 1.5705511657164495585029924235648
absolute error = 2e-31
relative error = 1.2734382958403304837027656922543e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.293
y[1] (analytic) = 1.570568577770052765425813694157
y[1] (numeric) = 1.5705685777700527654258136941567
absolute error = 3e-31
relative error = 1.9101362668668076155958102609801e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=488.2MB, alloc=4.4MB, time=36.74
x[1] = -0.292
y[1] (analytic) = 1.5705853462949306086040792755072
y[1] (numeric) = 1.570585346294930608604079275507
absolute error = 2e-31
relative error = 1.2734105820597871807917862316440e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.291
y[1] (analytic) = 1.5706014715505574006683423086487
y[1] (numeric) = 1.5706014715505574006683423086484
absolute error = 3e-31
relative error = 1.9100962620634030763186876078134e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.29
y[1] (analytic) = 1.5706169537963515478641939224803
y[1] (numeric) = 1.57061695379635154786419392248
absolute error = 3e-31
relative error = 1.9100774334242824637027242397487e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.289
y[1] (analytic) = 1.5706317932916755583653519985457
y[1] (numeric) = 1.5706317932916755583653519985455
absolute error = 2e-31
relative error = 1.2733729245404293437904125214123e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.288
y[1] (analytic) = 1.5706459902958360505858027751927
y[1] (numeric) = 1.5706459902958360505858027751925
absolute error = 2e-31
relative error = 1.2733614145752180528877270509974e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=492.1MB, alloc=4.4MB, time=37.12
x[1] = -0.287
y[1] (analytic) = 1.5706595450680837614909953787163
y[1] (numeric) = 1.5706595450680837614909953787161
absolute error = 2e-31
relative error = 1.2733504254821215971008012108772e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.286
y[1] (analytic) = 1.5706724578676135549080893690813
y[1] (numeric) = 1.5706724578676135549080893690811
absolute error = 2e-31
relative error = 1.2733399570240461619553653176245e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.285
y[1] (analytic) = 1.5706847289535644298352553878121
y[1] (numeric) = 1.5706847289535644298352553878119
absolute error = 2e-31
relative error = 1.2733300089652350627610768977162e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.284
y[1] (analytic) = 1.570696358585019528750028995632
y[1] (numeric) = 1.5706963585850195287500289956318
absolute error = 2e-31
relative error = 1.2733205810712668588959536960410e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.283
y[1] (analytic) = 1.5707073470210061459167177874272
y[1] (numeric) = 1.5707073470210061459167177874269
absolute error = 3e-31
relative error = 1.9099675096635802161278212594012e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.282
y[1] (analytic) = 1.570717694520495735692861872102
y[1] (numeric) = 1.5707176945204957356928618721018
absolute error = 2e-31
relative error = 1.2733032848468383459832007310339e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=495.9MB, alloc=4.4MB, time=37.50
x[1] = -0.281
y[1] (analytic) = 1.5707274013424039208347478048897
y[1] (numeric) = 1.5707274013424039208347478048895
absolute error = 2e-31
relative error = 1.2732954160541945350338561421929e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.28
y[1] (analytic) = 1.5707364677455905008019760596691
y[1] (numeric) = 1.5707364677455905008019760596689
absolute error = 2e-31
relative error = 1.2732880665020229092520183665427e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.279
y[1] (analytic) = 1.5707448939888594600610821288389
y[1] (numeric) = 1.5707448939888594600610821288387
absolute error = 2e-31
relative error = 1.2732812359625502882345931735271e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.278
y[1] (analytic) = 1.5707526803309589763882113382875
y[1] (numeric) = 1.5707526803309589763882113382872
absolute error = 3e-31
relative error = 1.9099123863139914245661865368582e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.277
y[1] (analytic) = 1.5707598270305814291708474649934
y[1] (numeric) = 1.5707598270305814291708474649931
absolute error = 3e-31
relative error = 1.9099036965258422129111118429232e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=499.7MB, alloc=4.4MB, time=37.87
x[1] = -0.276
y[1] (analytic) = 1.5707663343463634077085952447842
y[1] (numeric) = 1.5707663343463634077085952447839
absolute error = 3e-31
relative error = 1.9098957842436684079078836568128e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.275
y[1] (analytic) = 1.5707722025368857195130168577725
y[1] (numeric) = 1.5707722025368857195130168577722
absolute error = 3e-31
relative error = 1.9098886491337386542444611723425e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.274
y[1] (analytic) = 1.570777431860673398606522478984
y[1] (numeric) = 1.5707774318606733986065224789838
absolute error = 2e-31
relative error = 1.2732548605761979603179120092396e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.273
y[1] (analytic) = 1.5707820225761957138203149816844
y[1] (numeric) = 1.5707820225761957138203149816842
absolute error = 2e-31
relative error = 1.2732511394037066149072286027737e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.272
y[1] (analytic) = 1.5707859749418661770913888809033
y[1] (numeric) = 1.5707859749418661770913888809032
absolute error = 1e-31
relative error = 6.3662396784323808659290845953437e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.271
y[1] (analytic) = 1.570789289216042551758583604651
y[1] (numeric) = 1.5707892892160425517585836046508
absolute error = 2e-31
relative error = 1.2732452492072759781511130479645e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=503.5MB, alloc=4.4MB, time=38.24
x[1] = -0.27
y[1] (analytic) = 1.5707919656570268608576911803111
y[1] (numeric) = 1.5707919656570268608576911803109
absolute error = 2e-31
relative error = 1.2732430797501851852183092134951e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.269
y[1] (analytic) = 1.5707940045230653954156184236919
y[1] (numeric) = 1.5707940045230653954156184236918
absolute error = 1e-31
relative error = 6.3662071355029550694480594085448e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.268
y[1] (analytic) = 1.5707954060723487227436037182064
y[1] (numeric) = 1.5707954060723487227436037182063
absolute error = 1e-31
relative error = 6.3662014552259350419732080025584e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.267
y[1] (analytic) = 1.5707961705630116947294884716479
y[1] (numeric) = 1.5707961705630116947294884716478
absolute error = 1e-31
relative error = 6.3661983568598565363959649464218e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.266
y[1] (analytic) = 1.5707962982531334561290433380203
y[1] (numeric) = 1.5707962982531334561290433380202
absolute error = 1e-31
relative error = 6.3661978393512246095984727722172e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=507.3MB, alloc=4.4MB, time=38.62
x[1] = -0.265
y[1] (analytic) = 1.5707957894007374528563492918753
y[1] (numeric) = 1.5707957894007374528563492918752
absolute error = 1e-31
relative error = 6.3661999016530501197041440052423e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.264
y[1] (analytic) = 1.5707946442637914402732336426011
y[1] (numeric) = 1.5707946442637914402732336426011
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.263
y[1] (analytic) = 1.5707928631002074914777610761025
y[1] (numeric) = 1.5707928631002074914777610761025
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.262
y[1] (analytic) = 1.5707904461678420055917798113024
y[1] (numeric) = 1.5707904461678420055917798113024
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.261
y[1] (analytic) = 1.5707873937244957160475229588917
y[1] (numeric) = 1.5707873937244957160475229588916
absolute error = 1e-31
relative error = 6.3662339282523709379075489023713e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.26
y[1] (analytic) = 1.5707837060279136988732651697435
y[1] (numeric) = 1.5707837060279136988732651697435
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=511.1MB, alloc=4.4MB, time=39.01
x[1] = -0.259
y[1] (analytic) = 1.5707793833357853809780346604057
y[1] (numeric) = 1.5707793833357853809780346604057
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.258
y[1] (analytic) = 1.5707744259057445484353807030729
y[1] (numeric) = 1.5707744259057445484353807030728
absolute error = 1e-31
relative error = 6.3662864858738521424818341564262e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.257
y[1] (analytic) = 1.5707688339953693547661966674386
y[1] (numeric) = 1.5707688339953693547661966674385
absolute error = 1e-31
relative error = 6.3663091497456334934648876311580e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.256
y[1] (analytic) = 1.5707626078621823292205987018171
y[1] (numeric) = 1.5707626078621823292205987018171
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.255
y[1] (analytic) = 1.5707557477636503850588601409193
y[1] (numeric) = 1.5707557477636503850588601409192
absolute error = 1e-31
relative error = 6.3663621885435795023671035138847e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=515.0MB, alloc=4.4MB, time=39.39
x[1] = -0.254
y[1] (analytic) = 1.5707482539571848278314017276585
y[1] (numeric) = 1.5707482539571848278314017276585
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.253
y[1] (analytic) = 1.5707401267001413636578377363605
y[1] (numeric) = 1.5707401267001413636578377363604
absolute error = 1e-31
relative error = 6.3664255022301519578309588097021e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.252
y[1] (analytic) = 1.5707313662498201075050780847357
y[1] (numeric) = 1.5707313662498201075050780847356
absolute error = 1e-31
relative error = 6.3664610097367407038338085000046e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.251
y[1] (analytic) = 1.5707219728634655914644865219763
y[1] (numeric) = 1.5707219728634655914644865219763
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.25
y[1] (analytic) = 1.570711946798266773028094980324
y[1] (numeric) = 1.570711946798266773028094980324
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.249
y[1] (analytic) = 1.5707012883113570433638741774533
y[1] (numeric) = 1.5707012883113570433638741774532
absolute error = 1e-31
relative error = 6.3665829234474528326893882292877e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=518.8MB, alloc=4.4MB, time=39.77
x[1] = -0.248
y[1] (analytic) = 1.5706899976598142355900605570068
y[1] (numeric) = 1.5706899976598142355900605570067
absolute error = 1e-31
relative error = 6.3666286886012477473903579124014e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.247
y[1] (analytic) = 1.5706780751006606330485396546124
y[1] (numeric) = 1.5706780751006606330485396546123
absolute error = 1e-31
relative error = 6.3666770158226893573794240236957e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.246
y[1] (analytic) = 1.5706655208908629775772859767039
y[1] (numeric) = 1.5706655208908629775772859767038
absolute error = 1e-31
relative error = 6.3667279041868301927527682365589e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.245
y[1] (analytic) = 1.5706523352873324777818594794625
y[1] (numeric) = 1.5706523352873324777818594794624
absolute error = 1e-31
relative error = 6.3667813527750665066256059540250e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.244
y[1] (analytic) = 1.5706385185469248173059587351874
y[1] (numeric) = 1.5706385185469248173059587351872
absolute error = 2e-31
relative error = 1.2733674721350261244129251237502e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.243
y[1] (analytic) = 1.5706240709264401631010308733979
y[1] (numeric) = 1.5706240709264401631010308733978
absolute error = 1e-31
relative error = 6.3668959269810833212051538301267e-30 %
Correct digits = 31
h = 0.001
memory used=522.6MB, alloc=4.4MB, time=40.15
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.242
y[1] (analytic) = 1.5706089926826231736949383839644
y[1] (numeric) = 1.5706089926826231736949383839643
absolute error = 1e-31
relative error = 6.3669570507933062764536294331603e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.241
y[1] (analytic) = 1.5705932840721630074596828695537
y[1] (numeric) = 1.5705932840721630074596828695535
absolute error = 2e-31
relative error = 1.2734041462436989047353043820763e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.24
y[1] (analytic) = 1.5705769453516933308781858346734
y[1] (numeric) = 1.5705769453516933308781858346732
absolute error = 2e-31
relative error = 1.2734173934739297954554759146006e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.239
y[1] (analytic) = 1.5705599767777923268101265985904
y[1] (numeric) = 1.5705599767777923268101265985901
absolute error = 3e-31
relative error = 1.9101467275098206961192723669385e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.238
y[1] (analytic) = 1.5705423786069827027568374193895
y[1] (numeric) = 1.5705423786069827027568374193893
absolute error = 2e-31
relative error = 1.2734454206666689873620382313559e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=526.4MB, alloc=4.4MB, time=40.54
x[1] = -0.237
y[1] (analytic) = 1.5705241510957316991252559164372
y[1] (numeric) = 1.570524151095731699125255916437
absolute error = 2e-31
relative error = 1.2734602002806701768820763219680e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.236
y[1] (analytic) = 1.570505294500451097490934878502
y[1] (numeric) = 1.5705052945004510974909348785018
absolute error = 2e-31
relative error = 1.2734754903428474487078778055133e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.235
y[1] (analytic) = 1.570485809077497228860109544782
y[1] (numeric) = 1.5704858090774972288601095447818
absolute error = 2e-31
relative error = 1.2734912906820847013426621749706e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.234
y[1] (analytic) = 1.5704656950831709819308224460789
y[1] (numeric) = 1.5704656950831709819308224460787
absolute error = 2e-31
relative error = 1.2735076011285182019323096221382e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.233
y[1] (analytic) = 1.5704449527737178113531058933543
y[1] (numeric) = 1.5704449527737178113531058933541
absolute error = 2e-31
relative error = 1.2735244215135351473827509875866e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.232
y[1] (analytic) = 1.570423582405327745988222200895
y[1] (numeric) = 1.5704235824053277459882222008948
absolute error = 2e-31
relative error = 1.2735417516697722337015944040271e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=530.2MB, alloc=4.4MB, time=40.92
x[1] = -0.231
y[1] (analytic) = 1.5704015842341353971669617313083
y[1] (numeric) = 1.5704015842341353971669617313081
absolute error = 2e-31
relative error = 1.2735595914311142335452984085037e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.23
y[1] (analytic) = 1.5703789585162199669469988495613
y[1] (numeric) = 1.5703789585162199669469988495611
absolute error = 2e-31
relative error = 1.2735779406326925819533074590839e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.229
y[1] (analytic) = 1.5703557055076052563693058732713
y[1] (numeric) = 1.570355705507605256369305873271
absolute error = 3e-31
relative error = 1.9103951986663259553760073662452e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.228
y[1] (analytic) = 1.5703318254642596737136251064479
y[1] (numeric) = 1.5703318254642596737136251064476
absolute error = 3e-31
relative error = 1.9104242500549634221511658790963e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.227
y[1] (analytic) = 1.5703073186420962427529990438805
y[1] (numeric) = 1.5703073186420962427529990438802
absolute error = 3e-31
relative error = 1.9104540648732458005348826763266e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used
Radius of convergence = 1.766
Order of pole = 13.18
TOP MAIN SOLVE Loop
memory used=534.0MB, alloc=4.4MB, time=41.31
x[1] = -0.226
y[1] (analytic) = 1.5702821852969726110073588333572
y[1] (numeric) = 1.5702821852969726110073588333569
absolute error = 3e-31
relative error = 1.9104846428813292480383518787363e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.225
y[1] (analytic) = 1.5702564256846910579961710828961
y[1] (numeric) = 1.5702564256846910579961710828958
absolute error = 3e-31
relative error = 1.9105159838412294919953299235395e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.224
y[1] (analytic) = 1.5702300400609985034901431001616
y[1] (numeric) = 1.5702300400609985034901431001613
absolute error = 3e-31
relative error = 1.9105480875168197812694495663823e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.223
y[1] (analytic) = 1.5702030286815865157619866512322
y[1] (numeric) = 1.5702030286815865157619866512319
absolute error = 3e-31
relative error = 1.9105809536738288500512567885515e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.222
y[1] (analytic) = 1.5701753918020913198362403258798
y[1] (numeric) = 1.5701753918020913198362403258795
absolute error = 3e-31
relative error = 1.9106145820798388937183484986110e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.221
y[1] (analytic) = 1.5701471296780938057381505965124
y[1] (numeric) = 1.5701471296780938057381505965121
absolute error = 3e-31
relative error = 1.9106489725042835567321432241632e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=537.8MB, alloc=4.4MB, time=41.68
x[1] = -0.22
y[1] (analytic) = 1.5701182425651195367416116579275
y[1] (numeric) = 1.5701182425651195367416116579272
absolute error = 3e-31
relative error = 1.9106841247184459325449707643425e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.219
y[1] (analytic) = 1.5700887307186387576161641350143
y[1] (numeric) = 1.570088730718638757616164135014
absolute error = 3e-31
relative error = 1.9107200384954565754913200202815e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.218
y[1] (analytic) = 1.5700585943940664028730527455379
y[1] (numeric) = 1.5700585943940664028730527455376
absolute error = 3e-31
relative error = 1.9107567136102915246372369424084e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.217
y[1] (analytic) = 1.5700278338467621050103430051306
y[1] (numeric) = 1.5700278338467621050103430051302
absolute error = 4e-31
relative error = 2.5477255331196937860826889777060e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.216
y[1] (analytic) = 1.5699964493320302027570970616092
y[1] (numeric) = 1.5699964493320302027570970616089
absolute error = 3e-31
relative error = 1.9108323469625541480464861259537e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=541.7MB, alloc=4.4MB, time=42.05
x[1] = -0.215
y[1] (analytic) = 1.5699644411051197493166087457316
y[1] (numeric) = 1.5699644411051197493166087457313
absolute error = 3e-31
relative error = 1.9108713047591437056423227238901e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.214
y[1] (analytic) = 1.5699318094212245206086979254955
y[1] (numeric) = 1.5699318094212245206086979254951
absolute error = 4e-31
relative error = 2.5478813640158366227960120562658e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.213
y[1] (analytic) = 1.5698985545354830235110642510799
y[1] (numeric) = 1.5698985545354830235110642510796
absolute error = 3e-31
relative error = 1.9109515015049296696091690349749e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.212
y[1] (analytic) = 1.569864676702978504099700377521
y[1] (numeric) = 1.5698646767029785040997003775206
absolute error = 4e-31
relative error = 2.5479903200324112371855793767433e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.211
y[1] (analytic) = 1.5698301761787389558883647522046
y[1] (numeric) = 1.5698301761787389558883647522043
absolute error = 3e-31
relative error = 1.9110347383578538410001381490970e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.21
y[1] (analytic) = 1.5697950532177371280671140542581
y[1] (numeric) = 1.5697950532177371280671140542578
absolute error = 3e-31
relative error = 1.9110774962952361109542778577868e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=545.5MB, alloc=4.4MB, time=42.42
x[1] = -0.209
y[1] (analytic) = 1.5697593080748905337398953729079
y[1] (numeric) = 1.5697593080748905337398953729076
absolute error = 3e-31
relative error = 1.9111210136279536730403465718302e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.208
y[1] (analytic) = 1.5697229410050614581611982118711
y[1] (numeric) = 1.5697229410050614581611982118708
absolute error = 3e-31
relative error = 1.9111652901493313378572677166111e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.207
y[1] (analytic) = 1.5696859522630569669717664068369
y[1] (numeric) = 1.5696859522630569669717664068366
absolute error = 3e-31
relative error = 1.9112103256545184450298249358280e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.206
y[1] (analytic) = 1.5696483421036289144333700430894
y[1] (numeric) = 1.5696483421036289144333700430891
absolute error = 3e-31
relative error = 1.9112561199404870285821207445607e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.205
y[1] (analytic) = 1.5696101107814739516626374603159
y[1] (numeric) = 1.5696101107814739516626374603156
absolute error = 3e-31
relative error = 1.9113026728060299939447451284602e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=549.3MB, alloc=4.4MB, time=42.80
x[1] = -0.204
y[1] (analytic) = 1.5695712585512335348639474316381
y[1] (numeric) = 1.5695712585512335348639474316378
absolute error = 3e-31
relative error = 1.9113499840517593065717307935299e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.203
y[1] (analytic) = 1.5695317856674939335613816038967
y[1] (numeric) = 1.5695317856674939335613816038964
absolute error = 3e-31
relative error = 1.9113980534801041921435169983440e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.202
y[1] (analytic) = 1.5694916923847862388297372862134
y[1] (numeric) = 1.5694916923847862388297372862131
absolute error = 3e-31
relative error = 1.9114468808953093483322886530538e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.201
y[1] (analytic) = 1.5694509789575863715246006738473
y[1] (numeric) = 1.5694509789575863715246006738469
absolute error = 4e-31
relative error = 2.5486619548045775574749355335711e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.2
y[1] (analytic) = 1.5694096456403150905114805943555
y[1] (numeric) = 1.5694096456403150905114805943551
absolute error = 4e-31
relative error = 2.5487290785497946327321989386097e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.199
y[1] (analytic) = 1.5693676926873380008940028630623
y[1] (numeric) = 1.5693676926873380008940028630619
absolute error = 4e-31
relative error = 2.5487972121756376895638230946074e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=553.1MB, alloc=4.4MB, time=43.17
x[1] = -0.198
y[1] (analytic) = 1.5693251203529655622411653348328
y[1] (numeric) = 1.5693251203529655622411653348325
absolute error = 3e-31
relative error = 1.9116497665730689796983204076141e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.197
y[1] (analytic) = 1.5692819288914530968136537391414
y[1] (numeric) = 1.569281928891453096813653739141
absolute error = 4e-31
relative error = 2.5489365080662183323779339246731e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.196
y[1] (analytic) = 1.569238118557000797789218385417
y[1] (numeric) = 1.5692381185570007977892183854166
absolute error = 4e-31
relative error = 2.5490076698354842628993534868244e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.195
y[1] (analytic) = 1.5691936896037537374871118256441
y[1] (numeric) = 1.5691936896037537374871118256438
absolute error = 3e-31
relative error = 1.9118098803708212207583818170049e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.194
y[1] (analytic) = 1.5691486422858018755915875611862
y[1] (numeric) = 1.569148642285801875591587561186
absolute error = 2e-31
relative error = 1.2745765099006621979955236586401e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=556.9MB, alloc=4.4MB, time=43.54
x[1] = -0.193
y[1] (analytic) = 1.5691029768571800673744598807959
y[1] (numeric) = 1.5691029768571800673744598807957
absolute error = 2e-31
relative error = 1.2746136037584231981304659083688e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.192
y[1] (analytic) = 1.5690566935718680719167249167673
y[1] (numeric) = 1.5690566935718680719167249167671
absolute error = 2e-31
relative error = 1.2746512017020328754407359237181e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.191
y[1] (analytic) = 1.5690097926837905603292430061804
y[1] (numeric) = 1.5690097926837905603292430061802
absolute error = 2e-31
relative error = 1.2746893036142246630643951745391e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.19
y[1] (analytic) = 1.568962274446817123972482444179
y[1] (numeric) = 1.5689622744468171239724824441789
absolute error = 1e-31
relative error = 6.3736395468946429928112213289330e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.189
y[1] (analytic) = 1.5689141391147622826753247162191
y[1] (numeric) = 1.568914139114762282675324716219
absolute error = 1e-31
relative error = 6.3738350944063511528911228264758e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.188
y[1] (analytic) = 1.5688653869413854929529312962147
y[1] (numeric) = 1.5688653869413854929529312962146
absolute error = 1e-31
relative error = 6.3740331600378476649872625566134e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=560.7MB, alloc=4.4MB, time=43.91
x[1] = -0.187
y[1] (analytic) = 1.568816018180391156223672097505
y[1] (numeric) = 1.5688160181803911562236720975049
absolute error = 1e-31
relative error = 6.3742337432266991329377096798680e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.186
y[1] (analytic) = 1.5687660330854286270251156635579
y[1] (numeric) = 1.5687660330854286270251156635577
absolute error = 2e-31
relative error = 1.2748873686832867081089614441269e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.185
y[1] (analytic) = 1.5687154319100922212290811853166
y[1] (numeric) = 1.5687154319100922212290811853165
absolute error = 1e-31
relative error = 6.3746424600565349344013265368761e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.184
y[1] (analytic) = 1.5686642149079212242557524320946
y[1] (numeric) = 1.5686642149079212242557524320944
absolute error = 2e-31
relative error = 1.2749701185204876287841274705958e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.183
y[1] (analytic) = 1.5686123823323998992868536829095
y[1] (numeric) = 1.5686123823323998992868536829093
absolute error = 2e-31
relative error = 1.2750122481031047077001991269829e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=564.5MB, alloc=4.4MB, time=44.29
x[1] = -0.182
y[1] (analytic) = 1.5685599344369574954778877451481
y[1] (numeric) = 1.568559934436957495477887745148
absolute error = 1e-31
relative error = 6.3752744032631118217545044875445e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.181
y[1] (analytic) = 1.5685068714749682561694361474421
y[1] (numeric) = 1.5685068714749682561694361474419
absolute error = 2e-31
relative error = 1.2750980160636917725463509546967e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.18
y[1] (analytic) = 1.5684531936997514270975215936278
y[1] (numeric) = 1.5684531936997514270975215936277
absolute error = 1e-31
relative error = 6.3757082711607505640736023005367e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.179
y[1] (analytic) = 1.5683989013645712646030327646618
y[1] (numeric) = 1.5683989013645712646030327646617
absolute error = 1e-31
relative error = 6.3759289752750977670219872094298e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.178
y[1] (analytic) = 1.5683439947226370438402115553488
y[1] (numeric) = 1.5683439947226370438402115553487
absolute error = 1e-31
relative error = 6.3761521921525311932221486245291e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.177
y[1] (analytic) = 1.5682884740271030669842028327398
y[1] (numeric) = 1.5682884740271030669842028327397
absolute error = 1e-31
relative error = 6.3763779212899964232490337163874e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=568.4MB, alloc=4.4MB, time=44.66
x[1] = -0.176
y[1] (analytic) = 1.5682323395310686714376668030461
y[1] (numeric) = 1.5682323395310686714376668030459
absolute error = 2e-31
relative error = 1.2753212324380697823582290150820e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.175
y[1] (analytic) = 1.5681755914875782380364540739102
y[1] (numeric) = 1.56817559148757823803645407391
absolute error = 2e-31
relative error = 1.2753673828724698078851027439090e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.174
y[1] (analytic) = 1.5681182301496211992543434988689
y[1] (numeric) = 1.5681182301496211992543434988687
absolute error = 2e-31
relative error = 1.2754140354641314401835854329298e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.173
y[1] (analytic) = 1.568060255770132047406842890834
y[1] (numeric) = 1.5680602557701320474068428908338
absolute error = 2e-31
relative error = 1.2754611901171657859965965565897e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.172
y[1] (analytic) = 1.568001668601990342854052691412
y[1] (numeric) = 1.5680016686019903428540526914119
absolute error = 1e-31
relative error = 6.3775442336843100604389761716154e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.171
y[1] (analytic) = 1.5679424688980207222025926828771
y[1] (numeric) = 1.5679424688980207222025926828769
absolute error = 2e-31
relative error = 1.2755570052296863847386144917476e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=572.2MB, alloc=4.4MB, time=45.03
TOP MAIN SOLVE Loop
x[1] = -0.17
y[1] (analytic) = 1.5678826569109929065065918296025
y[1] (numeric) = 1.5678826569109929065065918296024
absolute error = 1e-31
relative error = 6.3780283275164065824926453967001e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.169
y[1] (analytic) = 1.5678222328936217094677413357532
y[1] (numeric) = 1.567822232893621709467741335753
absolute error = 2e-31
relative error = 1.2756548274664644201758209483635e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.168
y[1] (analytic) = 1.5677611970985670456344110060297
y[1] (numeric) = 1.5677611970985670456344110060295
absolute error = 2e-31
relative error = 1.2757044910292275700561933605738e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.167
y[1] (analytic) = 1.5676995497784339385998289962536
y[1] (numeric) = 1.5676995497784339385998289962534
absolute error = 2e-31
relative error = 1.2757546561027359703366712336795e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.166
y[1] (analytic) = 1.5676372911857725291993250405711
y[1] (numeric) = 1.5676372911857725291993250405709
absolute error = 2e-31
relative error = 1.2758053225993272307623117004269e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=576.0MB, alloc=4.4MB, time=45.40
x[1] = -0.165
y[1] (analytic) = 1.56757442157307808370663724205
y[1] (numeric) = 1.5675744215730780837066372420498
absolute error = 2e-31
relative error = 1.2758564904325104494533349872127e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.164
y[1] (analytic) = 1.5675109411927910020292825134355
y[1] (numeric) = 1.5675109411927910020292825134353
absolute error = 2e-31
relative error = 1.2759081595169653029103716000341e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.163
y[1] (analytic) = 1.5674468502972968259029907548243
y[1] (numeric) = 1.5674468502972968259029907548241
absolute error = 2e-31
relative error = 1.2759603297685411431856074430501e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.162
y[1] (analytic) = 1.5673821491389262470852028550103
y[1] (numeric) = 1.56738214913892624708520285501
absolute error = 3e-31
relative error = 1.9140195016563841533115408346428e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.161
y[1] (analytic) = 1.567316837969955115547632603247
y[1] (numeric) = 1.5673168379699551155476326032468
absolute error = 2e-31
relative error = 1.2760661734422962032483749805059e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.16
y[1] (analytic) = 1.5672509170426044476678925981676
y[1] (numeric) = 1.5672509170426044476678925981673
absolute error = 3e-31
relative error = 1.9141797700530217192783032514190e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=579.8MB, alloc=4.4MB, time=45.77
x[1] = -0.159
y[1] (analytic) = 1.5671843866090404344201842405924
y[1] (numeric) = 1.5671843866090404344201842405921
absolute error = 3e-31
relative error = 1.9142610312058951498261875593358e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.158
y[1] (analytic) = 1.5671172469213744495650518969526
y[1] (numeric) = 1.5671172469213744495650518969523
absolute error = 3e-31
relative error = 1.9143430435045912525247463440808e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.157
y[1] (analytic) = 1.5670494982316630578382013200469
y[1] (numeric) = 1.5670494982316630578382013200466
absolute error = 3e-31
relative error = 1.9144258068333832959656853784872e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.156
y[1] (analytic) = 1.566981140791908023138382413844
y[1] (numeric) = 1.5669811407919080231383824138436
absolute error = 4e-31
relative error = 2.5526790947710531757600986487000e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.155
y[1] (analytic) = 1.5669121748540563167143364290362
y[1] (numeric) = 1.5669121748540563167143364290359
absolute error = 3e-31
relative error = 1.9145935861270736759413414341724e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=583.6MB, alloc=4.4MB, time=46.14
x[1] = -0.154
y[1] (analytic) = 1.5668426006700001253508076760441
y[1] (numeric) = 1.5668426006700001253508076760438
absolute error = 3e-31
relative error = 1.9146786018692401500578934445062e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.153
y[1] (analytic) = 1.5667724184915768595536198421614
y[1] (numeric) = 1.5667724184915768595536198421611
absolute error = 3e-31
relative error = 1.9147643681960363340382862263067e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.152
y[1] (analytic) = 1.5667016285705691617338169995281
y[1] (numeric) = 1.5667016285705691617338169995277
absolute error = 4e-31
relative error = 2.5531345133339327716160266590993e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.151
y[1] (analytic) = 1.566630231158704914390869390608
y[1] (numeric) = 1.5666302311587049143908693906076
absolute error = 4e-31
relative error = 2.5532508695696084389721842819598e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.15
y[1] (analytic) = 1.566558226507657248294944077844
y[1] (numeric) = 1.5665582265076572482949440778437
absolute error = 3e-31
relative error = 1.9150261696227709089419427009447e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.149
y[1] (analytic) = 1.5664856148690445506682405441548
y[1] (numeric) = 1.5664856148690445506682405441545
absolute error = 3e-31
relative error = 1.9151149372353443137922583621941e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=587.4MB, alloc=4.4MB, time=46.51
x[1] = -0.148
y[1] (analytic) = 1.5664123964944304733653913309311
y[1] (numeric) = 1.5664123964944304733653913309308
absolute error = 3e-31
relative error = 1.9152044549148630171878044808930e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.147
y[1] (analytic) = 1.5663385716353239410529278001837
y[1] (numeric) = 1.5663385716353239410529278001834
absolute error = 3e-31
relative error = 1.9152947225629977853513525524154e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.146
y[1] (analytic) = 1.566264140543179159387811107487
y[1] (numeric) = 1.5662641405431791593878111074866
absolute error = 4e-31
relative error = 2.5538476534442033375019641903283e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.145
y[1] (analytic) = 1.5661891034693956231950284723559
y[1] (numeric) = 1.5661891034693956231950284723555
absolute error = 4e-31
relative error = 2.5539700098406173469650621239540e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.144
y[1] (analytic) = 1.5661134606653181246442548326878
y[1] (numeric) = 1.5661134606653181246442548326874
absolute error = 4e-31
relative error = 2.5540933658157279305224457808490e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=591.2MB, alloc=4.4MB, time=46.87
x[1] = -0.143
y[1] (analytic) = 1.5660372123822367614255799698931
y[1] (numeric) = 1.5660372123822367614255799698927
absolute error = 4e-31
relative error = 2.5542177212476634879953723147044e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.142
y[1] (analytic) = 1.5659603588713869449243011913323
y[1] (numeric) = 1.565960358871386944924301191332
absolute error = 3e-31
relative error = 1.9157573070126428404938247004355e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.141
y[1] (analytic) = 1.5658829003839494083947816566704
y[1] (numeric) = 1.5658829003839494083947816566701
absolute error = 3e-31
relative error = 1.9158520725045338512796633103066e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.14
y[1] (analytic) = 1.565804837171050215133374434752
y[1] (numeric) = 1.5658048371710502151333744347517
absolute error = 3e-31
relative error = 1.9159475873251991704019464467339e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.139
y[1] (analytic) = 1.565726169483760766650412377596
y[1] (numeric) = 1.5657261694837607666504123775956
absolute error = 4e-31
relative error = 2.5547251351868566808254756899771e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.138
y[1] (analytic) = 1.5656468975730978108412638980978
y[1] (numeric) = 1.5656468975730978108412638980974
absolute error = 4e-31
relative error = 2.5548544861554555790534206538886e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=595.1MB, alloc=4.4MB, time=47.25
x[1] = -0.137
y[1] (analytic) = 1.5655670216900234501564547380258
y[1] (numeric) = 1.5655670216900234501564547380254
absolute error = 4e-31
relative error = 2.5549848358979966967739549669801e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.136
y[1] (analytic) = 1.5654865420854451497708558128864
y[1] (numeric) = 1.565486542085445149770855812886
absolute error = 4e-31
relative error = 2.5551161843087104066269287762637e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.135
y[1] (analytic) = 1.5654054590102157457519372202295
y[1] (numeric) = 1.5654054590102157457519372202291
absolute error = 4e-31
relative error = 2.5552485312841215987297706322801e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.134
y[1] (analytic) = 1.5653237727151334532270884979574
y[1] (numeric) = 1.5653237727151334532270884979571
absolute error = 3e-31
relative error = 1.9165364075422862105737229196368e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.133
y[1] (analytic) = 1.5652414834509418745500052191943
y[1] (numeric) = 1.565241483450941874550005219194
absolute error = 3e-31
relative error = 1.9166371653949501438076777497123e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=598.9MB, alloc=4.4MB, time=47.62
x[1] = -0.132
y[1] (analytic) = 1.5651585914683300074661420102648
y[1] (numeric) = 1.5651585914683300074661420102645
absolute error = 3e-31
relative error = 1.9167386719486330720690869287271e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.131
y[1] (analytic) = 1.565075097017932253277232078327
y[1] (numeric) = 1.5650750970179322532772320783267
absolute error = 3e-31
relative error = 1.9168409271326018185327332095366e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.13
y[1] (analytic) = 1.5649910003503284250048733351949
y[1] (numeric) = 1.5649910003503284250048733351946
absolute error = 3e-31
relative error = 1.9169439308778389472354255736208e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.129
y[1] (analytic) = 1.5649063017160437555531812038804
y[1] (numeric) = 1.5649063017160437555531812038801
absolute error = 3e-31
relative error = 1.9170476831170417642828243461512e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.128
y[1] (analytic) = 1.5648210013655489058705081943778
y[1] (numeric) = 1.5648210013655489058705081943775
absolute error = 3e-31
relative error = 1.9171521837846213292419100345409e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.127
y[1] (analytic) = 1.5647350995492599731102303352074
y[1] (numeric) = 1.564735099549259973110230335207
absolute error = 4e-31
relative error = 2.5563432437556019689402257546450e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=602.7MB, alloc=4.4MB, time=48.00
x[1] = -0.126
y[1] (analytic) = 1.5646485965175384987906005472264
y[1] (numeric) = 1.5646485965175384987906005472261
absolute error = 3e-31
relative error = 1.9173634301511178480126881977589e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.125
y[1] (analytic) = 1.5645614925206914769536690462125
y[1] (numeric) = 1.5645614925206914769536690462121
absolute error = 4e-31
relative error = 2.5566269009698892441579449276984e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.124
y[1] (analytic) = 1.5644737878089713623232708607119
y[1] (numeric) = 1.5644737878089713623232708607116
absolute error = 3e-31
relative error = 1.9175776694868551225873214241888e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.123
y[1] (analytic) = 1.564385482632576078462080551646
y[1] (numeric) = 1.5643854826325760784620805516457
absolute error = 3e-31
relative error = 1.9176859113723977697090822641441e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.122
y[1] (analytic) = 1.5642965772416490259277342201547
y[1] (numeric) = 1.5642965772416490259277342201544
absolute error = 3e-31
relative error = 1.9177949013287182627164567848530e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=606.5MB, alloc=4.4MB, time=48.36
x[1] = -0.121
y[1] (analytic) = 1.5642070718862790904280188901549
y[1] (numeric) = 1.5642070718862790904280188901546
absolute error = 3e-31
relative error = 1.9179046393021971070936113277469e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.12
y[1] (analytic) = 1.5641169668165006509751293520824
y[1] (numeric) = 1.5641169668165006509751293520821
absolute error = 3e-31
relative error = 1.9180151252409210179621846361807e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.119
y[1] (analytic) = 1.5640262622822935880389925542788
y[1] (numeric) = 1.5640262622822935880389925542785
absolute error = 3e-31
relative error = 1.9181263590946820225317886215710e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.118
y[1] (analytic) = 1.5639349585335832916996596284795
y[1] (numeric) = 1.5639349585335832916996596284791
absolute error = 4e-31
relative error = 2.5576511210866354301361350718724e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.117
y[1] (analytic) = 1.5638430558202406697987656358514
y[1] (numeric) = 1.563843055820240669798765635851
absolute error = 4e-31
relative error = 2.5578014271400062228050388699722e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.116
y[1] (analytic) = 1.5637505543920821560900571200228
y[1] (numeric) = 1.5637505543920821560900571200224
absolute error = 4e-31
relative error = 2.5579527302262253128873733115510e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=610.3MB, alloc=4.4MB, time=48.75
x[1] = -0.115
y[1] (analytic) = 1.5636574544988697183889875535391
y[1] (numeric) = 1.5636574544988697183889875535388
absolute error = 3e-31
relative error = 1.9185787727155740261948012485050e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.114
y[1] (analytic) = 1.5635637563903108667213807641751
y[1] (numeric) = 1.5635637563903108667213807641749
absolute error = 2e-31
relative error = 1.2791291636340168449731013108998e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.113
y[1] (analytic) = 1.5634694603160586614711624275237
y[1] (numeric) = 1.5634694603160586614711624275234
absolute error = 3e-31
relative error = 1.9188094658360283216594897333137e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.112
y[1] (analytic) = 1.5633745665257117215271597122766
y[1] (numeric) = 1.5633745665257117215271597122763
absolute error = 3e-31
relative error = 1.9189259338322881119724671586655e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.111
y[1] (analytic) = 1.5632790752688142324289691646063
y[1] (numeric) = 1.5632790752688142324289691646059
absolute error = 4e-31
relative error = 2.5587241992042774054232596799491e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used
Radius of convergence = 1.708
Order of pole = 8.108
TOP MAIN SOLVE Loop
x[1] = -0.11
y[1] (analytic) = 1.563182986794855954511892918049
y[1] (numeric) = 1.5631829867948559545118929180486
absolute error = 4e-31
relative error = 2.5588814833518523314247197083962e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=614.1MB, alloc=4.4MB, time=49.12
TOP MAIN SOLVE Loop
x[1] = -0.109
y[1] (analytic) = 1.5630863013532722310509433152852
y[1] (numeric) = 1.5630863013532722310509433152848
absolute error = 4e-31
relative error = 2.5590397641748395779471901204371e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.108
y[1] (analytic) = 1.5629890191934439964039160282039
y[1] (numeric) = 1.5629890191934439964039160282036
absolute error = 3e-31
relative error = 1.9193992812234234464223942609252e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.107
y[1] (analytic) = 1.562891140564697784153531762634
y[1] (numeric) = 1.5628911405646977841535317626337
absolute error = 3e-31
relative error = 1.9195194867609599470802306614639e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.106
y[1] (analytic) = 1.5627926657163057352486466341151
y[1] (numeric) = 1.5627926657163057352486466341148
absolute error = 3e-31
relative error = 1.9196404397156231491632098459517e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.105
y[1] (analytic) = 1.5626935948974856061445313010775
y[1] (numeric) = 1.5626935948974856061445313010773
absolute error = 2e-31
relative error = 1.2798414267073272083706338590010e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=618.0MB, alloc=4.4MB, time=49.48
x[1] = -0.104
y[1] (analytic) = 1.5625939283574007769422189417916
y[1] (numeric) = 1.5625939283574007769422189417914
absolute error = 2e-31
relative error = 1.2799230585148891634887483420751e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.103
y[1] (analytic) = 1.5624936663451602595269221614403
y[1] (numeric) = 1.5624936663451602595269221614401
absolute error = 2e-31
relative error = 1.2800051885510767100440223016086e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.102
y[1] (analytic) = 1.5623928091098187057055189156636
y[1] (numeric) = 1.5623928091098187057055189156634
absolute error = 2e-31
relative error = 1.2800878168016596476599876153034e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.101
y[1] (analytic) = 1.5622913569003764153431075369148
y[1] (numeric) = 1.5622913569003764153431075369146
absolute error = 2e-31
relative error = 1.2801709432535350180142566219471e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.1
y[1] (analytic) = 1.5621893099657793444986309499634
y[1] (numeric) = 1.5621893099657793444986309499632
absolute error = 2e-31
relative error = 1.2802545678947266324092177617816e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.099
y[1] (analytic) = 1.5620866685549191135595701628713
y[1] (numeric) = 1.5620866685549191135595701628711
absolute error = 2e-31
relative error = 1.2803386907143846058948331210407e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=621.8MB, alloc=4.4MB, time=49.86
x[1] = -0.098
y[1] (analytic) = 1.5619834329166330153757071197634
y[1] (numeric) = 1.5619834329166330153757071197632
absolute error = 2e-31
relative error = 1.2804233117027848979364381251582e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.097
y[1] (analytic) = 1.5618796032997040233919570017064
y[1] (numeric) = 1.5618796032997040233919570017062
absolute error = 2e-31
relative error = 1.2805084308513288596205165889854e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.096
y[1] (analytic) = 1.5617751799528607997802700620031
y[1] (numeric) = 1.5617751799528607997802700620029
absolute error = 2e-31
relative error = 1.2805940481525427873914971524667e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.095
y[1] (analytic) = 1.5616701631247777035706030822021
y[1] (numeric) = 1.5616701631247777035706030822019
absolute error = 2e-31
relative error = 1.2806801636000774833126898079469e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.094
y[1] (analytic) = 1.561564553064074798780960535117
y[1] (numeric) = 1.5615645530640747987809605351168
absolute error = 2e-31
relative error = 1.2807667771887078218445537619481e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=625.6MB, alloc=4.4MB, time=50.23
x[1] = -0.093
y[1] (analytic) = 1.5614583500193178625465055411421
y[1] (numeric) = 1.5614583500193178625465055411419
absolute error = 2e-31
relative error = 1.2808538889143323231335602711878e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.092
y[1] (analytic) = 1.5613515542390183932477407041448
y[1] (numeric) = 1.5613515542390183932477407041446
absolute error = 2e-31
relative error = 1.2809414987739727328049863511421e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.091
y[1] (analytic) = 1.5612441659716336186377589132077
y[1] (numeric) = 1.5612441659716336186377589132075
absolute error = 2e-31
relative error = 1.2810296067657736082530473768953e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.09
y[1] (analytic) = 1.5611361854655665039685641964877
y[1] (numeric) = 1.5611361854655665039685641964875
absolute error = 2e-31
relative error = 1.2811182128890019114218485816895e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.089
y[1] (analytic) = 1.5610276129691657601164627134518
y[1] (numeric) = 1.5610276129691657601164627134516
absolute error = 2e-31
relative error = 1.2812073171440466080707073097979e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.088
y[1] (analytic) = 1.5609184487307258517065239717434
y[1] (numeric) = 1.5609184487307258517065239717432
absolute error = 2e-31
relative error = 1.2812969195324182735174695984023e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=629.4MB, alloc=4.4MB, time=50.60
x[1] = -0.087
y[1] (analytic) = 1.5608086929984870052361123549244
y[1] (numeric) = 1.5608086929984870052361123549241
absolute error = 3e-31
relative error = 1.9220805300851230572802743740532e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.086
y[1] (analytic) = 1.5606983460206352171974890473344
y[1] (numeric) = 1.5606983460206352171974890473341
absolute error = 3e-31
relative error = 1.9222164280811858094363375112161e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.085
y[1] (analytic) = 1.5605874080453022621994844422993
y[1] (numeric) = 1.5605874080453022621994844422991
absolute error = 2e-31
relative error = 1.2815687155294168809687267880772e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.084
y[1] (analytic) = 1.5604758793205657010882411199157
y[1] (numeric) = 1.5604758793205657010882411199155
absolute error = 2e-31
relative error = 1.2816603104886209292128650955934e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.083
y[1] (analytic) = 1.5603637600944488890670274806304
y[1] (numeric) = 1.5603637600944488890670274806302
absolute error = 2e-31
relative error = 1.2817524036055156199093388461046e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=633.2MB, alloc=4.4MB, time=50.96
x[1] = -0.082
y[1] (analytic) = 1.5602510506149209838151221208287
y[1] (numeric) = 1.5602510506149209838151221208285
absolute error = 2e-31
relative error = 1.2818449948883332683190797536118e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.081
y[1] (analytic) = 1.5601377511298969536057690366372
y[1] (numeric) = 1.560137751129896953605769036637
absolute error = 2e-31
relative error = 1.2819380843464252203279862619349e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.08
y[1] (analytic) = 1.5600238618872375854232037421401
y[1] (numeric) = 1.5600238618872375854232037421399
absolute error = 2e-31
relative error = 1.2820316719902615097932067036532e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.079
y[1] (analytic) = 1.5599093831347494930787503882026
y[1] (numeric) = 1.5599093831347494930787503882024
absolute error = 2e-31
relative error = 1.2821257578314305223132349454557e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.078
y[1] (analytic) = 1.5597943151201851253259899680865
y[1] (numeric) = 1.5597943151201851253259899680863
absolute error = 2e-31
relative error = 1.2822203418826386654161522369294e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.077
y[1] (analytic) = 1.5596786580912427739749996960377
y[1] (numeric) = 1.5596786580912427739749996960376
absolute error = 1e-31
relative error = 6.4115771207885502258020965924232e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=637.0MB, alloc=4.4MB, time=51.33
x[1] = -0.076
y[1] (analytic) = 1.5595624122955665820056636450185
y[1] (numeric) = 1.5595624122955665820056636450183
absolute error = 2e-31
relative error = 1.2824110046715861491426930650346e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.075
y[1] (analytic) = 1.5594455779807465516800547297487
y[1] (numeric) = 1.5594455779807465516800547297486
absolute error = 1e-31
relative error = 6.4125354172016276795360602324885e-30 %
Correct digits = 31
h = 0.001
Complex estimate of poles used
Radius of convergence = 2.409
Order of pole = 16.27
TOP MAIN SOLVE Loop
x[1] = -0.074
y[1] (analytic) = 1.5593281553943185526538881212178
y[1] (numeric) = 1.5593281553943185526538881212178
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.073
y[1] (analytic) = 1.559210144783764330087046178817
y[1] (numeric) = 1.5592101447837643300870461788169
absolute error = 1e-31
relative error = 6.4135036790610596396106454361161e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.072
y[1] (analytic) = 1.5590915463965115127531749862385
y[1] (numeric) = 1.5590915463965115127531749862385
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=640.8MB, alloc=4.4MB, time=51.70
x[1] = -0.071
y[1] (analytic) = 1.5589723604799336211483525772822
y[1] (numeric) = 1.5589723604799336211483525772822
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.07
y[1] (analytic) = 1.5588525872813500755988289376984
y[1] (numeric) = 1.5588525872813500755988289376984
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.069
y[1] (analytic) = 1.5587322270480262043678378691957
y[1] (numeric) = 1.5587322270480262043678378691957
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.068
y[1] (analytic) = 1.5586112800271732517614808017302
y[1] (numeric) = 1.5586112800271732517614808017302
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.067
y[1] (analytic) = 1.5584897464659483862336826401891
y[1] (numeric) = 1.5584897464659483862336826401892
absolute error = 1e-31
relative error = 6.4164682653037211362326756635924e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.066
y[1] (analytic) = 1.5583676266114547084902197315745
y[1] (numeric) = 1.5583676266114547084902197315745
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=644.7MB, alloc=4.4MB, time=52.07
x[1] = -0.065
y[1] (analytic) = 1.5582449207107412595918200387833
y[1] (numeric) = 1.5582449207107412595918200387834
absolute error = 1e-31
relative error = 6.4174763973809937027900961182784e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.064
y[1] (analytic) = 1.5581216290108030290563356070795
y[1] (numeric) = 1.5581216290108030290563356070796
absolute error = 1e-31
relative error = 6.4179842021374483661578169691529e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.063
y[1] (analytic) = 1.557997751758580962959987409339
y[1] (numeric) = 1.5579977517585809629599874093391
absolute error = 1e-31
relative error = 6.4184944995668689266068023225477e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.062
y[1] (analytic) = 1.5578732892009619720376826561491
y[1] (numeric) = 1.5578732892009619720376826561492
absolute error = 1e-31
relative error = 6.4190072898220309858031745735432e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.061
y[1] (analytic) = 1.5577482415847789397824046568322
y[1] (numeric) = 1.5577482415847789397824046568323
absolute error = 1e-31
relative error = 6.4195225730612771051853250249584e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=648.5MB, alloc=4.4MB, time=52.44
x[1] = -0.06
y[1] (analytic) = 1.5576226091568107305436753174596
y[1] (numeric) = 1.5576226091568107305436753174598
absolute error = 2e-31
relative error = 1.2840080698897031460183569633661e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.059
y[1] (analytic) = 1.5574963921637821976250903619134
y[1] (numeric) = 1.5574963921637821976250903619136
absolute error = 2e-31
relative error = 1.2841121238306440291015421837113e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used
Radius of convergence = 1.218
Order of pole = 1.022
TOP MAIN SOLVE Loop
x[1] = -0.058
y[1] (analytic) = 1.5573695908523641913809273620473
y[1] (numeric) = 1.5573695908523641913809273620475
absolute error = 2e-31
relative error = 1.2842166764700854926817169792461e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.057
y[1] (analytic) = 1.5572422054691735673118266629924
y[1] (numeric) = 1.5572422054691735673118266629925
absolute error = 1e-31
relative error = 6.4216086392207376416800632675316e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.056
y[1] (analytic) = 1.5571142362607731941595452896446
y[1] (numeric) = 1.5571142362607731941595452896448
absolute error = 2e-31
relative error = 1.2844272779900625069186517781710e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.055
y[1] (analytic) = 1.5569856834736719620007839203665
y[1] (numeric) = 1.5569856834736719620007839203667
absolute error = 2e-31
relative error = 1.2845333269461749949630146020451e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=652.3MB, alloc=4.4MB, time=52.81
x[1] = -0.054
y[1] (analytic) = 1.5568565473543247903400870139264
y[1] (numeric) = 1.5568565473543247903400870139266
absolute error = 2e-31
relative error = 1.2846398747519415773867074597754e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.053
y[1] (analytic) = 1.5567268281491326362018161756942
y[1] (numeric) = 1.5567268281491326362018161756943
absolute error = 1e-31
relative error = 6.4237346072396534324784645182337e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.052
y[1] (analytic) = 1.5565965261044425022211968491042
y[1] (numeric) = 1.5565965261044425022211968491044
absolute error = 2e-31
relative error = 1.2848544670758224372836090482626e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.051
y[1] (analytic) = 1.5564656414665474447344384183903
y[1] (numeric) = 1.5564656414665474447344384183905
absolute error = 2e-31
relative error = 1.2849625116784084690224732972578e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.05
y[1] (analytic) = 1.5563341744816865818679278085896
y[1] (numeric) = 1.5563341744816865818679278085897
absolute error = 1e-31
relative error = 6.4253552764979589657051660730228e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.049
memory used=656.1MB, alloc=4.4MB, time=53.17
y[1] (analytic) = 1.556202125396045101626496668807
y[1] (numeric) = 1.5562021253960451016264966688071
absolute error = 1e-31
relative error = 6.4259004899219332369354740587064e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.048
y[1] (analytic) = 1.5560694944557542699807622247252
y[1] (numeric) = 1.5560694944557542699807622247253
absolute error = 1e-31
relative error = 6.4264481988945917813511297343175e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.047
y[1] (analytic) = 1.5559362819068914389535418863362
y[1] (numeric) = 1.5559362819068914389535418863363
absolute error = 1e-31
relative error = 6.4269984036521159889064993772580e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.046
y[1] (analytic) = 1.5558024879954800547053416968663
y[1] (numeric) = 1.5558024879954800547053416968663
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.045
y[1] (analytic) = 1.5556681129674896656189187088588
y[1] (numeric) = 1.5556681129674896656189187088588
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.044
y[1] (analytic) = 1.5555331570688359303829173733716
y[1] (numeric) = 1.5555331570688359303829173733716
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=659.9MB, alloc=4.4MB, time=53.55
x[1] = -0.043
y[1] (analytic) = 1.55539762054538062607458002824
y[1] (numeric) = 1.5553976205453806260745800282401
absolute error = 1e-31
relative error = 6.4292241854488794245204376274823e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.042
y[1] (analytic) = 1.5552615036429316562415315713498
y[1] (numeric) = 1.5552615036429316562415315713498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.041
y[1] (analytic) = 1.5551248066072430589826384048561
y[1] (numeric) = 1.5551248066072430589826384048562
absolute error = 1e-31
relative error = 6.4303520576053452433993436721657e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.04
y[1] (analytic) = 1.554987529684015015027941736282
y[1] (numeric) = 1.554987529684015015027941736282
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.039
y[1] (analytic) = 1.5548496731188938558176653224156
y[1] (numeric) = 1.5548496731188938558176653224156
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.038
y[1] (analytic) = 1.5547112371574720715802977419287
y[1] (numeric) = 1.5547112371574720715802977419288
absolute error = 1e-31
relative error = 6.4320625985075643844972485558419e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=663.7MB, alloc=4.4MB, time=53.91
x[1] = -0.037
y[1] (analytic) = 1.5545722220452883194097492826227
y[1] (numeric) = 1.5545722220452883194097492826228
absolute error = 1e-31
relative error = 6.4326377753253567692938271220648e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.036
y[1] (analytic) = 1.5544326280278274313415835292076
y[1] (numeric) = 1.5544326280278274313415835292078
absolute error = 2e-31
relative error = 1.2866430901784931059404750977967e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.035
y[1] (analytic) = 1.554292455350520422428323737512
y[1] (numeric) = 1.5542924553505204224283237375121
absolute error = 1e-31
relative error = 6.4337956255116886863663901186567e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.034
y[1] (analytic) = 1.5541517042587444988138340810114
y[1] (numeric) = 1.5541517042587444988138340810115
absolute error = 1e-31
relative error = 6.4343782994913732126368370487720e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.033
y[1] (analytic) = 1.5540103749978230658067758555627
y[1] (numeric) = 1.5540103749978230658067758555628
absolute error = 1e-31
relative error = 6.4349634731454148058804553682718e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=667.5MB, alloc=4.4MB, time=54.29
x[1] = -0.032
y[1] (analytic) = 1.5538684678130257359531387282176
y[1] (numeric) = 1.5538684678130257359531387282177
absolute error = 1e-31
relative error = 6.4355511467932576899472828662224e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.031
y[1] (analytic) = 1.5537259829495683371078471159881
y[1] (numeric) = 1.5537259829495683371078471159882
absolute error = 1e-31
relative error = 6.4361413207598944487850652242204e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.03
y[1] (analytic) = 1.5535829206526129205054417804259
y[1] (numeric) = 1.553582920652612920505441780426
absolute error = 1e-31
relative error = 6.4367339953758658911885407265370e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.029
y[1] (analytic) = 1.5534392811672677688298367238738
y[1] (numeric) = 1.5534392811672677688298367238739
absolute error = 1e-31
relative error = 6.4373291709772609466719227585668e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.028
y[1] (analytic) = 1.5532950647385874042831514732378
y[1] (numeric) = 1.5532950647385874042831514732379
absolute error = 1e-31
relative error = 6.4379268479057165924532323587159e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.027
y[1] (analytic) = 1.5531502716115725966536188371244
y[1] (numeric) = 1.5531502716115725966536188371246
absolute error = 2e-31
relative error = 1.2877054053016835623078925574593e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=671.4MB, alloc=4.4MB, time=54.66
x[1] = -0.026
y[1] (analytic) = 1.5530049020311703713825682221799
y[1] (numeric) = 1.5530049020311703713825682221801
absolute error = 2e-31
relative error = 1.2878259414276195163803774967984e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.025
y[1] (analytic) = 1.5528589562422740176304845944599
y[1] (numeric) = 1.5528589562422740176304845944601
absolute error = 2e-31
relative error = 1.2879469780306073793462303817414e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.024
y[1] (analytic) = 1.5527124344897230963421431716547
y[1] (numeric) = 1.5527124344897230963421431716549
absolute error = 2e-31
relative error = 1.2880685151834129631524237209432e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used
Radius of convergence = 4.574
Order of pole = 121.1
TOP MAIN SOLVE Loop
x[1] = -0.023
y[1] (analytic) = 1.5525653370183034483108199319858
y[1] (numeric) = 1.552565337018303448310819931986
absolute error = 2e-31
relative error = 1.2881905529599117095317526787501e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.022
y[1] (analytic) = 1.552417664072747202241578025583
y[1] (numeric) = 1.5524176640727472022415780255833
absolute error = 3e-31
relative error = 1.9324696371526330690349246746606e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=675.2MB, alloc=4.4MB, time=55.03
x[1] = -0.021
y[1] (analytic) = 1.552269415897732782813630174147
y[1] (numeric) = 1.5522694158977327828136301741472
absolute error = 2e-31
relative error = 1.2884361306850387482011259530054e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.02
y[1] (analytic) = 1.5521205927378849187417771446912
y[1] (numeric) = 1.5521205927378849187417771446915
absolute error = 3e-31
relative error = 1.9328395061804494621646913794483e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.019
y[1] (analytic) = 1.551971194837774650836922383156
y[1] (numeric) = 1.5519711948377746508369223831563
absolute error = 3e-31
relative error = 1.9330255677287784633566974330638e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.018
y[1] (analytic) = 1.551821222441919340065662893675
y[1] (numeric) = 1.5518212224419193400656628936753
absolute error = 3e-31
relative error = 1.9332123807916812085417989236776e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.017
y[1] (analytic) = 1.5516706757947826756089564492725
y[1] (numeric) = 1.5516706757947826756089564492727
absolute error = 2e-31
relative error = 1.2889332969933057125889079425759e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.016
y[1] (analytic) = 1.5515195551407746829198652197596
y[1] (numeric) = 1.5515195551407746829198652197598
absolute error = 2e-31
relative error = 1.2890588412973841959415792719747e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=679.0MB, alloc=4.4MB, time=55.41
x[1] = -0.015
y[1] (analytic) = 1.5513678607242517317803759025941
y[1] (numeric) = 1.5513678607242517317803759025943
absolute error = 2e-31
relative error = 1.2891848868561100737960204431692e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.014
y[1] (analytic) = 1.5512155927895165443572964424579
y[1] (numeric) = 1.5512155927895165443572964424582
absolute error = 3e-31
relative error = 1.9339671506300208322906407113340e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.013
y[1] (analytic) = 1.5510627515808182032572294253043
y[1] (numeric) = 1.5510627515808182032572294253045
absolute error = 2e-31
relative error = 1.2894384820740696503458290019113e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.012
y[1] (analytic) = 1.5509093373423521595806222326148
y[1] (numeric) = 1.550909337342352159580622232615
absolute error = 2e-31
relative error = 1.2895660319043615919991899687131e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.011
y[1] (analytic) = 1.5507553503182602409748940416055
y[1] (numeric) = 1.5507553503182602409748940416056
absolute error = 1e-31
relative error = 6.4484704166570879483183725951349e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=682.8MB, alloc=4.4MB, time=55.77
x[1] = -0.01
y[1] (analytic) = 1.5506007907526306596866397571081
y[1] (numeric) = 1.5506007907526306596866397571083
absolute error = 2e-31
relative error = 1.2898226364435425950316558387711e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.009
y[1] (analytic) = 1.550445658889498020612910960853
y[1] (numeric) = 1.5504456588894980206129109608531
absolute error = 1e-31
relative error = 6.4497584566507603579472020277514e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.008
y[1] (analytic) = 1.5502899549728433293515739638654
y[1] (numeric) = 1.5502899549728433293515739638655
absolute error = 1e-31
relative error = 6.4504062404088605204304090586432e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.007
y[1] (analytic) = 1.5501336792465940002507450476892
y[1] (numeric) = 1.5501336792465940002507450476893
absolute error = 1e-31
relative error = 6.4510565339501975709602749053848e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.006
y[1] (analytic) = 1.5499768319546238644573029801366
y[1] (numeric) = 1.5499768319546238644573029801367
absolute error = 1e-31
relative error = 6.4517093377385099117348011115751e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.005
y[1] (analytic) = 1.5498194133407531779644788912626
y[1] (numeric) = 1.5498194133407531779644788912627
absolute error = 1e-31
relative error = 6.4523646522430908789774574212740e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=686.6MB, alloc=4.4MB, time=56.14
x[1] = -0.004
y[1] (analytic) = 1.5496614236487486296585235952523
y[1] (numeric) = 1.5496614236487486296585235952523
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.003
y[1] (analytic) = 1.549502863122323349364452443903
y[1] (numeric) = 1.5495028631223233493644524439031
absolute error = 1e-31
relative error = 6.4536828153060107655289694221865e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.002
y[1] (analytic) = 1.5493437320051369158908677973798
y[1] (numeric) = 1.5493437320051369158908677973798
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = -0.001
y[1] (analytic) = 1.549184030540795365073859197909
y[1] (numeric) = 1.549184030540795365073859197909
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0
y[1] (analytic) = 1.5490237589728511978199813320776
y[1] (numeric) = 1.5490237589728511978199813320777
absolute error = 1e-31
relative error = 6.4556789023242244210515820920613e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.001
y[1] (analytic) = 1.5488629175448033881483098673901
y[1] (numeric) = 1.5488629175448033881483098673902
absolute error = 1e-31
relative error = 6.4563492912927419715832572721191e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=690.4MB, alloc=4.4MB, time=56.51
TOP MAIN SOLVE Loop
x[1] = 0.002
y[1] (analytic) = 1.5487015065000973912315752487336
y[1] (numeric) = 1.5487015065000973912315752487336
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.003
y[1] (analytic) = 1.5485395260821251514363745403939
y[1] (numeric) = 1.5485395260821251514363745403939
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.004
y[1] (analytic) = 1.548376976534225110362461399258
y[1] (numeric) = 1.548376976534225110362461399258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.005
y[1] (analytic) = 1.5482138580996822148811142648314
y[1] (numeric) = 1.5482138580996822148811142648314
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.006
y[1] (analytic) = 1.5480501710217279251725828516932
y[1] (numeric) = 1.5480501710217279251725828516932
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=694.2MB, alloc=4.4MB, time=56.87
x[1] = 0.007
y[1] (analytic) = 1.5478859155435402227626130300049
y[1] (numeric) = 1.547885915543540222762613030005
absolute error = 1e-31
relative error = 6.4604244405754538185255004184097e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.008
y[1] (analytic) = 1.5477210919082436185580501796816
y[1] (numeric) = 1.5477210919082436185580501796817
absolute error = 1e-31
relative error = 6.4611124396260720452530066352985e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.009
y[1] (analytic) = 1.5475557003589091608815211038268
y[1] (numeric) = 1.547555700358909160881521103827
absolute error = 2e-31
relative error = 1.2923605913093531590603256622977e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.01
y[1] (analytic) = 1.5473897411385544435051945870289
y[1] (numeric) = 1.5473897411385544435051945870291
absolute error = 2e-31
relative error = 1.2924991983780500538020687139928e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.011
y[1] (analytic) = 1.5472232144901436136836206841056
y[1] (numeric) = 1.5472232144901436136836206841057
absolute error = 1e-31
relative error = 6.4631915462148100497727182509600e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.012
y[1] (analytic) = 1.54705612065658738018564882488
y[1] (numeric) = 1.5470561206565873801856488248801
absolute error = 1e-31
relative error = 6.4638896200843002699473115393508e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=698.1MB, alloc=4.4MB, time=57.24
x[1] = 0.013
y[1] (analytic) = 1.5468884598807430213254248205637
y[1] (numeric) = 1.5468884598807430213254248205638
absolute error = 1e-31
relative error = 6.4645902140681478076958389729278e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.014
y[1] (analytic) = 1.5467202324054143929924668573157
y[1] (numeric) = 1.5467202324054143929924668573158
absolute error = 1e-31
relative error = 6.4652933287413525147514066353625e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.015
y[1] (analytic) = 1.5465514384733519366808205625385
y[1] (numeric) = 1.5465514384733519366808205625387
absolute error = 2e-31
relative error = 1.2931997929368976950238905275419e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.016
y[1] (analytic) = 1.5463820783272526875172932294684
y[1] (numeric) = 1.5463820783272526875172932294685
absolute error = 1e-31
relative error = 6.4667071224837052947143542342404e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.017
y[1] (analytic) = 1.5462121522097602822887672856066
y[1] (numeric) = 1.5462121522097602822887672856067
absolute error = 1e-31
relative error = 6.4674178027307294219349811076966e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=701.9MB, alloc=4.4MB, time=57.61
x[1] = 0.018
y[1] (analytic) = 1.5460416603634649674685930905363
y[1] (numeric) = 1.5460416603634649674685930905364
absolute error = 1e-31
relative error = 6.4681310060228654991827975010636e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.019
y[1] (analytic) = 1.5458706030309036072420611486577
y[1] (numeric) = 1.5458706030309036072420611486578
absolute error = 1e-31
relative error = 6.4688467329629977453264379731949e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.02
y[1] (analytic) = 1.5456989804545596915309538223722
y[1] (numeric) = 1.5456989804545596915309538223723
absolute error = 1e-31
relative error = 6.4695649841595913691170036193872e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.021
y[1] (analytic) = 1.5455267928768633440171766312369
y[1] (numeric) = 1.545526792876863344017176631237
absolute error = 1e-31
relative error = 6.4702857602266940135586476308108e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.022
y[1] (analytic) = 1.5453540405401913301654692226045
y[1] (numeric) = 1.5453540405401913301654692226046
absolute error = 1e-31
relative error = 6.4710090617839372312393410739071e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.023
y[1] (analytic) = 1.5451807236868670652451960992579
y[1] (numeric) = 1.545180723686867065245196099258
absolute error = 1e-31
relative error = 6.4717348894565379906270317578839e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=705.7MB, alloc=4.4MB, time=57.99
x[1] = 0.024
y[1] (analytic) = 1.545006842559160622351217189541
y[1] (numeric) = 1.5450068425591606223512171895411
absolute error = 1e-31
relative error = 6.4724632438753002133367310307048e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.025
y[1] (analytic) = 1.5448323973992887404238383454816
y[1] (numeric) = 1.5448323973992887404238383454816
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.026
y[1] (analytic) = 1.5446573884494148322678418543936
y[1] (numeric) = 1.5446573884494148322678418543936
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.027
y[1] (analytic) = 1.5444818159516489925705970494431
y[1] (numeric) = 1.5444818159516489925705970494431
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.028
y[1] (analytic) = 1.5443056801480480059192511046505
y[1] (numeric) = 1.5443056801480480059192511046506
absolute error = 1e-31
relative error = 6.4754019418236742190751759599943e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=709.5MB, alloc=4.4MB, time=58.36
x[1] = 0.029
y[1] (analytic) = 1.5441289812806153548170000997997
y[1] (numeric) = 1.5441289812806153548170000997998
absolute error = 1e-31
relative error = 6.4761429396309574550688708409076e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.03
y[1] (analytic) = 1.5439517195913012276984404407148
y[1] (numeric) = 1.5439517195913012276984404407148
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.031
y[1] (analytic) = 1.54377389532200252694400072036
y[1] (numeric) = 1.5437738953220025269440007203601
absolute error = 1e-31
relative error = 6.4776325278606851668613066084085e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.032
y[1] (analytic) = 1.5435955087145628768934541062124
y[1] (numeric) = 1.5435955087145628768934541062125
absolute error = 1e-31
relative error = 6.4783811196286464896514314677743e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.033
y[1] (analytic) = 1.5434165600107726318585113393468
y[1] (numeric) = 1.5434165600107726318585113393469
absolute error = 1e-31
relative error = 6.4791322440716864496853689866246e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.034
y[1] (analytic) = 1.5432370494523688841344944306706
y[1] (numeric) = 1.5432370494523688841344944306707
absolute error = 1e-31
relative error = 6.4798859018765698679446711610839e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=713.3MB, alloc=4.4MB, time=58.73
x[1] = 0.035
y[1] (analytic) = 1.5430569772810354720110911397355
y[1] (numeric) = 1.5430569772810354720110911397356
absolute error = 1e-31
relative error = 6.4806420937356674744824090452471e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.036
y[1] (analytic) = 1.5428763437384029877821903215487
y[1] (numeric) = 1.5428763437384029877821903215488
absolute error = 1e-31
relative error = 6.4814008203469578178903135720408e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.037
y[1] (analytic) = 1.5426951490660487857547982267983
y[1] (numeric) = 1.5426951490660487857547982267984
absolute error = 1e-31
relative error = 6.4821620824140292058380998113676e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.038
y[1] (analytic) = 1.5425133935054969902570358409017
y[1] (numeric) = 1.5425133935054969902570358409018
absolute error = 1e-31
relative error = 6.4829258806460816766950185902867e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.039
y[1] (analytic) = 1.5423310772982185036452173472784
y[1] (numeric) = 1.5423310772982185036452173472784
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=717.1MB, alloc=4.4MB, time=59.11
x[1] = 0.04
y[1] (analytic) = 1.5421482006856310143100098002425
y[1] (numeric) = 1.5421482006856310143100098002425
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.041
y[1] (analytic) = 1.5419647639090990046816740929043
y[1] (numeric) = 1.5419647639090990046816740929044
absolute error = 1e-31
relative error = 6.4852324995083442056371548949528e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.042
y[1] (analytic) = 1.5417807672099337592343873054609
y[1] (numeric) = 1.541780767209933759234387305461
absolute error = 1e-31
relative error = 6.4860064496046267540552469914190e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.043
y[1] (analytic) = 1.541596210829393372489646519252
y[1] (numeric) = 1.5415962108293933724896465192521
absolute error = 1e-31
relative error = 6.4867829394961377215652311876578e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.044
y[1] (analytic) = 1.5414110950086827570187541819502
y[1] (numeric) = 1.5414110950086827570187541819503
absolute error = 1e-31
relative error = 6.4875619699257906767376837481008e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.045
y[1] (analytic) = 1.5412254199889536514443851092454
y[1] (numeric) = 1.5412254199889536514443851092455
absolute error = 1e-31
relative error = 6.4883435416421255914073566855718e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=721.0MB, alloc=4.4MB, time=59.47
x[1] = 0.046
y[1] (analytic) = 1.5410391860113046284412352083806
y[1] (numeric) = 1.5410391860113046284412352083806
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.047
y[1] (analytic) = 1.5408523933167811027357520088856
y[1] (numeric) = 1.5408523933167811027357520088856
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.048
y[1] (analytic) = 1.5406650421463753391049470858521
y[1] (numeric) = 1.5406650421463753391049470858521
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.049
y[1] (analytic) = 1.5404771327410264603742904610838
y[1] (numeric) = 1.5404771327410264603742904610838
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.05
y[1] (analytic) = 1.540288665341620455414687067451
y[1] (numeric) = 1.540288665341620455414687067451
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.051
y[1] (analytic) = 1.5400996401889901871385353617706
y[1] (numeric) = 1.5400996401889901871385353617705
absolute error = 1e-31
relative error = 6.4930863815881876250792273367872e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=724.8MB, alloc=4.4MB, time=59.85
TOP MAIN SOLVE Loop
x[1] = 0.052
y[1] (analytic) = 1.5399100575239154004948681715265
y[1] (numeric) = 1.5399100575239154004948681715264
absolute error = 1e-31
relative error = 6.4938857637435075465062680426169e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.053
y[1] (analytic) = 1.5397199175871227304635758607406
y[1] (numeric) = 1.5397199175871227304635758607405
absolute error = 1e-31
relative error = 6.4946876933766527538894700672862e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.054
y[1] (analytic) = 1.5395292206192857100487119002932
y[1] (numeric) = 1.5395292206192857100487119002931
absolute error = 1e-31
relative error = 6.4954921712869045243511129661651e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.055
y[1] (analytic) = 1.53933796686102477827088092799
y[1] (numeric) = 1.5393379668610247782708809279899
absolute error = 1e-31
relative error = 6.4962991982791941501560777586333e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.056
y[1] (analytic) = 1.5391461565529072881587093836634
y[1] (numeric) = 1.5391461565529072881587093836634
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=728.6MB, alloc=4.4MB, time=60.21
x[1] = 0.057
y[1] (analytic) = 1.5389537899354475147393988045904
y[1] (numeric) = 1.5389537899354475147393988045903
absolute error = 1e-31
relative error = 6.4979209027578774430256481562117e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.058
y[1] (analytic) = 1.5387608672491066630283618664998
y[1] (numeric) = 1.5387608672491066630283618664998
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.059
y[1] (analytic) = 1.5385673887342928760179412554416
y[1] (numeric) = 1.5385673887342928760179412554416
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.06
y[1] (analytic) = 1.5383733546313612426652114557752
y[1] (numeric) = 1.5383733546313612426652114557752
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.061
y[1] (analytic) = 1.538178765180613805878863539535
y[1] (numeric) = 1.5381787651806138058788635395349
absolute error = 1e-31
relative error = 6.5011949367444260873762561001832e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.062
y[1] (analytic) = 1.5379836206222995705051730424202
y[1] (numeric) = 1.5379836206222995705051730424201
absolute error = 1e-31
relative error = 6.5020198303241980250564264584633e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=732.4MB, alloc=4.4MB, time=60.60
x[1] = 0.063
y[1] (analytic) = 1.5377879211966145113130510116515
y[1] (numeric) = 1.5377879211966145113130510116514
absolute error = 1e-31
relative error = 6.5028472796291692682454798027280e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.064
y[1] (analytic) = 1.5375916671437015809781783109287
y[1] (numeric) = 1.5375916671437015809781783109285
absolute error = 2e-31
relative error = 1.3007354571030478005184965637927e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.065
y[1] (analytic) = 1.5373948587036507180662232677174
y[1] (numeric) = 1.5373948587036507180662232677173
absolute error = 1e-31
relative error = 6.5045098488439831728591028456187e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.066
y[1] (analytic) = 1.5371974961164988550151427480894
y[1] (numeric) = 1.5371974961164988550151427480893
absolute error = 1e-31
relative error = 6.5053449704826573302330261039846e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.067
y[1] (analytic) = 1.5369995796222299261165667443269
y[1] (numeric) = 1.5369995796222299261165667443268
absolute error = 1e-31
relative error = 6.5061826513041995111555587517996e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=736.2MB, alloc=4.4MB, time=60.97
x[1] = 0.068
y[1] (analytic) = 1.5368011094607748754962665605037
y[1] (numeric) = 1.5368011094607748754962665605035
absolute error = 2e-31
relative error = 1.3014045784374466295366359343193e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.069
y[1] (analytic) = 1.5366020858720116650937066812417
y[1] (numeric) = 1.5366020858720116650937066812416
absolute error = 1e-31
relative error = 6.5078656940160700094031407995850e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.07
y[1] (analytic) = 1.5364025090957652826406804088408
y[1] (numeric) = 1.5364025090957652826406804088407
absolute error = 1e-31
relative error = 6.5087110576807131769235379289460e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.071
y[1] (analytic) = 1.536202379371807749639029353967
y[1] (numeric) = 1.5362023793718077496390293539668
absolute error = 2e-31
relative error = 1.3019117968153720093917204577832e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.072
y[1] (analytic) = 1.5360016969398581293374468650835
y[1] (numeric) = 1.5360016969398581293374468650834
absolute error = 1e-31
relative error = 6.5104094741059053690302908132760e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.073
y[1] (analytic) = 1.5358004620395825347073654817995
y[1] (numeric) = 1.5358004620395825347073654817993
absolute error = 2e-31
relative error = 1.3022525057349888627615161748833e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=740.0MB, alloc=4.4MB, time=61.34
x[1] = 0.074
y[1] (analytic) = 1.5355986749105941364179284973024
y[1] (numeric) = 1.5355986749105941364179284973022
absolute error = 2e-31
relative error = 1.3024236297393551146210406754860e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.075
y[1] (analytic) = 1.5353963357924531708100457150392
y[1] (numeric) = 1.535396335792453170810045715039
absolute error = 2e-31
relative error = 1.3025952670179808983127752976265e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.076
y[1] (analytic) = 1.5351934449246669478695334847991
y[1] (numeric) = 1.5351934449246669478695334847989
absolute error = 2e-31
relative error = 1.3027674177557092460068861830231e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.077
y[1] (analytic) = 1.5349900025466898591993391033474
y[1] (numeric) = 1.5349900025466898591993391033472
absolute error = 2e-31
relative error = 1.3029400821385257921377093168451e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.078
y[1] (analytic) = 1.5347860088979233859908496647512
y[1] (numeric) = 1.534786008897923385990849664751
absolute error = 2e-31
relative error = 1.3031132603535594187758299479754e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=743.8MB, alloc=4.4MB, time=61.70
x[1] = 0.079
y[1] (analytic) = 1.5345814642177161069942854455338
y[1] (numeric) = 1.5345814642177161069942854455336
absolute error = 2e-31
relative error = 1.3032869525890829073547697973407e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.08
y[1] (analytic) = 1.5343763687453637064881779097844
y[1] (numeric) = 1.5343763687453637064881779097842
absolute error = 2e-31
relative error = 1.3034611590345135967570237105680e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.081
y[1] (analytic) = 1.5341707227201089822479324193462
y[1] (numeric) = 1.534170722720108982247932419346
absolute error = 2e-31
relative error = 1.3036358798804140477642534236035e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.082
y[1] (analytic) = 1.5339645263811418535134757341974
y[1] (numeric) = 1.5339645263811418535134757341973
absolute error = 1e-31
relative error = 6.5190555765924635693825609112333e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.083
y[1] (analytic) = 1.5337577799675993689559883881344
y[1] (numeric) = 1.5337577799675993689559883881342
absolute error = 2e-31
relative error = 1.3039868655416046185054400898923e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.084
y[1] (analytic) = 1.5335504837185657146437220248573
y[1] (numeric) = 1.5335504837185657146437220248571
absolute error = 2e-31
relative error = 1.3041631307437520385464362532605e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=747.7MB, alloc=4.4MB, time=62.08
x[1] = 0.085
y[1] (analytic) = 1.5333426378730722220069017795555
y[1] (numeric) = 1.5333426378730722220069017795553
absolute error = 2e-31
relative error = 1.3043399111200851943348800546141e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.086
y[1] (analytic) = 1.5331342426700973758017137910798
y[1] (numeric) = 1.5331342426700973758017137910795
absolute error = 3e-31
relative error = 1.9567758103003544189873103030581e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.087
y[1] (analytic) = 1.5329252983485668220733779297829
y[1] (numeric) = 1.5329252983485668220733779297827
absolute error = 2e-31
relative error = 1.3046950181816534961623765978877e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.088
y[1] (analytic) = 1.5327158051473533761183058261063
y[1] (numeric) = 1.5327158051473533761183058261061
absolute error = 2e-31
relative error = 1.3048733452629350991580065205857e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.089
y[1] (analytic) = 1.5325057633052770304453442849777
y[1] (numeric) = 1.5325057633052770304453442849775
absolute error = 2e-31
relative error = 1.3050521883104967764981731377570e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=751.5MB, alloc=4.4MB, time=62.46
x[1] = 0.09
y[1] (analytic) = 1.5322951730611049627361041710849
y[1] (numeric) = 1.5322951730611049627361041710846
absolute error = 3e-31
relative error = 1.9578473212878585582999314402894e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.091
y[1] (analytic) = 1.532084034653551543804374850079
y[1] (numeric) = 1.5320840346535515438043748500787
absolute error = 3e-31
relative error = 1.9581171346638219217227742614466e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.092
y[1] (analytic) = 1.531872348321278345554624270757
y[1] (numeric) = 1.5318723483212783455546242707567
absolute error = 3e-31
relative error = 1.9583877228984437758339247846731e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.093
y[1] (analytic) = 1.5316601143028941489395847732642
y[1] (numeric) = 1.5316601143028941489395847732639
absolute error = 3e-31
relative error = 1.9586590862982631817706933159561e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.094
y[1] (analytic) = 1.5314473328369549519169247083536
y[1] (numeric) = 1.5314473328369549519169247083533
absolute error = 3e-31
relative error = 1.9589312251715508624673892728976e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.095
y[1] (analytic) = 1.5312340041619639774050059527291
y[1] (numeric) = 1.5312340041619639774050059527289
absolute error = 2e-31
relative error = 1.3061360932188735558605290838387e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=755.3MB, alloc=4.4MB, time=62.84
x[1] = 0.096
y[1] (analytic) = 1.5310201285163716812377274054962
y[1] (numeric) = 1.531020128516371681237727405496
absolute error = 2e-31
relative error = 1.3063185537201860302279912386697e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.097
y[1] (analytic) = 1.530805706138575760118454550734
y[1] (numeric) = 1.5308057061385757601184545507337
absolute error = 3e-31
relative error = 1.9597522977409295309333416014623e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.098
y[1] (analytic) = 1.5305907372669211595730351711983
y[1] (numeric) = 1.5305907372669211595730351711981
absolute error = 2e-31
relative error = 1.3066850277503137124997265828003e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.099
y[1] (analytic) = 1.5303752221397000819019012981583
y[1] (numeric) = 1.5303752221397000819019012981581
absolute error = 2e-31
relative error = 1.3068690417005655674679838270711e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.1
y[1] (analytic) = 1.5301591609951519941312574823598
y[1] (numeric) = 1.5301591609951519941312574823597
absolute error = 1e-31
relative error = 6.5352678694524922149486840812907e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.101
y[1] (analytic) = 1.5299425540714636359633554711075
y[1] (numeric) = 1.5299425540714636359633554711073
absolute error = 2e-31
relative error = 1.3072386245337287185614709587848e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=759.1MB, alloc=4.4MB, time=63.22
TOP MAIN SOLVE Loop
x[1] = 0.102
y[1] (analytic) = 1.5297254016067690277258553764445
y[1] (numeric) = 1.5297254016067690277258553764444
absolute error = 1e-31
relative error = 6.5371209692251671418620471658363e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.103
y[1] (analytic) = 1.5295077038391494783202734194084
y[1] (numeric) = 1.5295077038391494783202734194082
absolute error = 2e-31
relative error = 1.3076102820403510671169295907818e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.104
y[1] (analytic) = 1.5292894610066335931695163353286
y[1] (numeric) = 1.5292894610066335931695163353285
absolute error = 1e-31
relative error = 6.5389844466839120115004206178174e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.105
y[1] (analytic) = 1.5290706733471972821645025251319
y[1] (numeric) = 1.5290706733471972821645025251318
absolute error = 1e-31
relative error = 6.5399200797629564652131974698542e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.106
y[1] (analytic) = 1.5288513410987637676098700376067
y[1] (numeric) = 1.5288513410987637676098700376066
absolute error = 1e-31
relative error = 6.5408583105360275769605598452079e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=762.9MB, alloc=4.4MB, time=63.60
x[1] = 0.107
y[1] (analytic) = 1.528631464499203592168771467579
y[1] (numeric) = 1.5286314644992035921687714675789
absolute error = 1e-31
relative error = 6.5417991401060879707317476637129e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.108
y[1] (analytic) = 1.5284110437863346268067558549401
y[1] (numeric) = 1.52841104378633462680675585494
absolute error = 1e-31
relative error = 6.5427425695819282059813798613170e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.109
y[1] (analytic) = 1.5281900791979220787347376694621
y[1] (numeric) = 1.528190079197922078734737669462
absolute error = 1e-31
relative error = 6.5436886000781710019724077276536e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.11
y[1] (analytic) = 1.5279685709716784993510529663306
y[1] (numeric) = 1.5279685709716784993510529663305
absolute error = 1e-31
relative error = 6.5446372327152754947820642009386e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.111
y[1] (analytic) = 1.5277465193452637921826027973162
y[1] (numeric) = 1.5277465193452637921826027973162
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.112
y[1] (analytic) = 1.5275239245562852208250839625016
y[1] (numeric) = 1.5275239245562852208250839625016
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=766.7MB, alloc=4.4MB, time=63.99
x[1] = 0.113
y[1] (analytic) = 1.5273007868422974168823071874715
y[1] (numeric) = 1.5273007868422974168823071874714
absolute error = 1e-31
relative error = 6.5474987547639870800290223784022e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.114
y[1] (analytic) = 1.5270771064408023879046028108695
y[1] (numeric) = 1.5270771064408023879046028108694
absolute error = 1e-31
relative error = 6.5484578072860088843842492605144e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.115
y[1] (analytic) = 1.5268528835892495253263140672171
y[1] (numeric) = 1.526852883589249525326314067217
absolute error = 1e-31
relative error = 6.5494194676388856041023476142313e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.116
y[1] (analytic) = 1.5266281185250356124023780498835
y[1] (numeric) = 1.5266281185250356124023780498834
absolute error = 1e-31
relative error = 6.5503837369781861067392447914577e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.117
y[1] (analytic) = 1.5264028114855048321439944390888
y[1] (numeric) = 1.5264028114855048321439944390886
absolute error = 2e-31
relative error = 1.3102701232930692786357214731657e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=770.5MB, alloc=4.4MB, time=64.38
x[1] = 0.118
y[1] (analytic) = 1.5261769627079487752533820798168
y[1] (numeric) = 1.5261769627079487752533820798167
absolute error = 1e-31
relative error = 6.5523201072676741171983049598840e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.119
y[1] (analytic) = 1.5259505724296064480576234945074
y[1] (numeric) = 1.5259505724296064480576234945072
absolute error = 2e-31
relative error = 1.3106584421116706276038322706491e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.12
y[1] (analytic) = 1.5257236408876642804415974153874
y[1] (numeric) = 1.5257236408876642804415974153873
absolute error = 1e-31
relative error = 6.5542669275164481058731924537738e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.121
y[1] (analytic) = 1.525496168319256133779999421302
y[1] (numeric) = 1.5254961683192561337799994213019
absolute error = 1e-31
relative error = 6.5552442593269090806288771321958e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.122
y[1] (analytic) = 1.5252681549614633088684507638892
y[1] (numeric) = 1.5252681549614633088684507638891
absolute error = 1e-31
relative error = 6.5562242071805761835113538653875e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.123
y[1] (analytic) = 1.5250396010513145538536954679452
y[1] (numeric) = 1.525039601051314553853695467945
absolute error = 2e-31
relative error = 1.3114413544548368563911567220033e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=774.4MB, alloc=4.4MB, time=64.77
x[1] = 0.124
y[1] (analytic) = 1.5248105068257860721628857908138
y[1] (numeric) = 1.5248105068257860721628857908137
absolute error = 1e-31
relative error = 6.5581919558103677076324673426717e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.125
y[1] (analytic) = 1.5245808725218015304319561256308
y[1] (numeric) = 1.5245808725218015304319561256307
absolute error = 1e-31
relative error = 6.5591797589976650076826552606460e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.126
y[1] (analytic) = 1.5243506983762320664330854332441
y[1] (numeric) = 1.5243506983762320664330854332441
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.127
y[1] (analytic) = 1.5241199846258962970012482876284
y[1] (numeric) = 1.5241199846258962970012482876283
absolute error = 1e-31
relative error = 6.5611632291893052370276258520962e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.128
y[1] (analytic) = 1.5238887315075603259598546196007
y[1] (numeric) = 1.5238887315075603259598546196006
absolute error = 1e-31
relative error = 6.5621588986402895648197913191158e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=778.2MB, alloc=4.4MB, time=65.15
x[1] = 0.129
y[1] (analytic) = 1.5236569392579377520454782436427
y[1] (numeric) = 1.5236569392579377520454782436427
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.13
y[1] (analytic) = 1.5234246081136896768316742526236
y[1] (numeric) = 1.5234246081136896768316742526236
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.131
y[1] (analytic) = 1.5231917383114247126518853652142
y[1] (numeric) = 1.523191738311424712651885365214
absolute error = 2e-31
relative error = 1.3130323318436285290256498194919e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.132
y[1] (analytic) = 1.5229583300876989905214373107742
y[1] (numeric) = 1.5229583300876989905214373107741
absolute error = 1e-31
relative error = 6.5661678342992836247447561948575e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.133
y[1] (analytic) = 1.5227243836790161680586233364918
y[1] (numeric) = 1.5227243836790161680586233364917
absolute error = 1e-31
relative error = 6.5671766389129797520824219949299e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.134
y[1] (analytic) = 1.52248989932182743740487792154
y[1] (numeric) = 1.5224898993218274374048779215399
absolute error = 1e-31
relative error = 6.5681880743211268186206547076713e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=782.0MB, alloc=4.4MB, time=65.52
x[1] = 0.135
y[1] (analytic) = 1.5222548772525315331440397830183
y[1] (numeric) = 1.5222548772525315331440397830182
absolute error = 1e-31
relative error = 6.5692021417915741790724208367694e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.136
y[1] (analytic) = 1.522019317707474740220704258432
y[1] (numeric) = 1.5220193177074747402207042584319
absolute error = 1e-31
relative error = 6.5702188425981298706077538356985e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.137
y[1] (analytic) = 1.5217832209229509018576651494611
y[1] (numeric) = 1.521783220922950901857665149461
absolute error = 1e-31
relative error = 6.5712381780205657657825918568380e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.138
y[1] (analytic) = 1.5215465871352014274724461117608
y[1] (numeric) = 1.5215465871352014274724461117607
absolute error = 1e-31
relative error = 6.5722601493446227592164650132654e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.139
y[1] (analytic) = 1.521309416580415300592921675531
y[1] (numeric) = 1.5213094165804153005929216755309
absolute error = 1e-31
relative error = 6.5732847578620159880629093663019e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=785.8MB, alloc=4.4MB, time=65.89
x[1] = 0.14
y[1] (analytic) = 1.5210717094947290867720279815834
y[1] (numeric) = 1.5210717094947290867720279815833
absolute error = 1e-31
relative error = 6.5743120048704400863168422786431e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.141
y[1] (analytic) = 1.5208334661142269415015633176306
y[1] (numeric) = 1.5208334661142269415015633176305
absolute error = 1e-31
relative error = 6.5753418916735744730034918390400e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.142
y[1] (analytic) = 1.5205946866749406181250785395131
y[1] (numeric) = 1.520594686674940618125078539513
absolute error = 1e-31
relative error = 6.5763744195810886742938317761337e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.143
y[1] (analytic) = 1.5203553714128494757498574620747
y[1] (numeric) = 1.5203553714128494757498574620746
absolute error = 1e-31
relative error = 6.5774095899086476795918326422684e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.144
y[1] (analytic) = 1.5201155205638804871579873043887
y[1] (numeric) = 1.5201155205638804871579873043886
absolute error = 1e-31
relative error = 6.5784474039779173316392000690660e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.145
y[1] (analytic) = 1.5198751343639082467165192740324
y[1] (numeric) = 1.5198751343639082467165192740324
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=789.6MB, alloc=4.4MB, time=66.25
x[1] = 0.146
y[1] (analytic) = 1.5196342130487549782867193751004
y[1] (numeric) = 1.5196342130487549782867193751003
absolute error = 1e-31
relative error = 6.5805309686582887927569848108105e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.147
y[1] (analytic) = 1.519392756854190543132409524638
y[1] (numeric) = 1.519392756854190543132409524638
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.148
y[1] (analytic) = 1.5191507660159324478273990621749
y[1] (numeric) = 1.5191507660159324478273990621748
absolute error = 1e-31
relative error = 6.5826251243157538378514782555859e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.149
y[1] (analytic) = 1.5189082407696458521620067370256
y[1] (numeric) = 1.5189082407696458521620067370254
absolute error = 2e-31
relative error = 1.3167352354257951669674089837869e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.15
y[1] (analytic) = 1.5186651813509435770486732580231
y[1] (numeric) = 1.518665181350943577048673258023
absolute error = 1e-31
relative error = 6.5847298817402275988592625046270e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.151
y[1] (analytic) = 1.5184215879953861124266644903421
y[1] (numeric) = 1.5184215879953861124266644903419
absolute error = 2e-31
relative error = 1.3171572479026669472366767445610e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=793.4MB, alloc=4.4MB, time=66.62
TOP MAIN SOLVE Loop
x[1] = 0.152
y[1] (analytic) = 1.5181774609384816251658653840596
y[1] (numeric) = 1.5181774609384816251658653840594
absolute error = 2e-31
relative error = 1.3173690503636336114959343184372e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.153
y[1] (analytic) = 1.517932800415685966969664719101
y[1] (numeric) = 1.5179328004156859669696647191008
absolute error = 2e-31
relative error = 1.3175813840061298552400888752045e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.154
y[1] (analytic) = 1.5176876066624026822769307512045
y[1] (numeric) = 1.5176876066624026822769307512043
absolute error = 2e-31
relative error = 1.3177942491065513482902531733423e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.155
y[1] (analytic) = 1.5174418799139830161630778435371
y[1] (numeric) = 1.5174418799139830161630778435369
absolute error = 2e-31
relative error = 1.3180076459425062410811914454300e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.156
y[1] (analytic) = 1.5171956204057259222402241685846
y[1] (numeric) = 1.5171956204057259222402241685844
absolute error = 2e-31
relative error = 1.3182215747928163250630949987334e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=797.2MB, alloc=4.4MB, time=66.99
x[1] = 0.157
y[1] (analytic) = 1.516948828372878070556440564933
y[1] (numeric) = 1.5169488283728780705564405649328
absolute error = 2e-31
relative error = 1.3184360359375182000322137961512e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.158
y[1] (analytic) = 1.5167015040506338554940906335526
y[1] (numeric) = 1.5167015040506338554940906335524
absolute error = 2e-31
relative error = 1.3186510296578644484005007416618e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.159
y[1] (analytic) = 1.5164536476741354036672621581877
y[1] (numeric) = 1.5164536476741354036672621581874
absolute error = 3e-31
relative error = 1.9782998343544872246217492811750e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.16
y[1] (analytic) = 1.5162052594784725818182899344495
y[1] (numeric) = 1.5162052594784725818182899344493
absolute error = 2e-31
relative error = 1.3190826159565874023337811244913e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.161
y[1] (analytic) = 1.5159563396986830047133700922042
y[1] (numeric) = 1.515956339698683004713370092204
absolute error = 2e-31
relative error = 1.3192992091035598515793086158015e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.162
y[1] (analytic) = 1.5157068885697520430372659958381
y[1] (numeric) = 1.5157068885697520430372659958377
absolute error = 4e-31
relative error = 2.6390326719267411177243685662236e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=801.1MB, alloc=4.4MB, time=67.36
x[1] = 0.163
y[1] (analytic) = 1.5154569063266128312871058069782
y[1] (numeric) = 1.5154569063266128312871058069779
absolute error = 3e-31
relative error = 1.9796009952350548159549620970146e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.164
y[1] (analytic) = 1.5152063932041462756652717942416
y[1] (numeric) = 1.5152063932041462756652717942412
absolute error = 4e-31
relative error = 2.6399043839442626691091020511203e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.165
y[1] (analytic) = 1.5149553494371810619713814745719
y[1] (numeric) = 1.5149553494371810619713814745715
absolute error = 4e-31
relative error = 2.6403418433989057118642454467703e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.166
y[1] (analytic) = 1.5147037752604936634933606707274
y[1] (numeric) = 1.5147037752604936634933606707271
absolute error = 3e-31
relative error = 1.9805852794445369918593297701077e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.167
y[1] (analytic) = 1.5144516709088083488976085694668
y[1] (numeric) = 1.5144516709088083488976085694664
absolute error = 4e-31
relative error = 2.6412199721101943372489044365430e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=804.9MB, alloc=4.4MB, time=67.73
x[1] = 0.168
y[1] (analytic) = 1.514199036616797190118254864978
y[1] (numeric) = 1.5141990366167971901182548649777
absolute error = 3e-31
relative error = 1.9812454819037233582199266868123e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.169
y[1] (analytic) = 1.5139458726190800702455090720908
y[1] (numeric) = 1.5139458726190800702455090720905
absolute error = 3e-31
relative error = 1.9815767883498316396027109517969e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.17
y[1] (analytic) = 1.5136921791502246914131020937992
y[1] (numeric) = 1.5136921791502246914131020937989
absolute error = 3e-31
relative error = 1.9819088988648783573183426497567e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.171
y[1] (analytic) = 1.5134379564447465826848201276227
y[1] (numeric) = 1.5134379564447465826848201276224
absolute error = 3e-31
relative error = 1.9822418138946190980923230895639e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.172
y[1] (analytic) = 1.5131832047371091079401309953222
y[1] (numeric) = 1.5131832047371091079401309953219
absolute error = 3e-31
relative error = 1.9825755338866591839284489571607e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.173
y[1] (analytic) = 1.5129279242617234737589029804814
y[1] (numeric) = 1.5129279242617234737589029804811
absolute error = 3e-31
relative error = 1.9829100592904555915454368286261e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=808.7MB, alloc=4.4MB, time=68.10
x[1] = 0.174
y[1] (analytic) = 1.5126721152529487373052162584601
y[1] (numeric) = 1.5126721152529487373052162584598
absolute error = 3e-31
relative error = 1.9832453905573188824811090834817e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.175
y[1] (analytic) = 1.5124157779450918142102670032157
y[1] (numeric) = 1.5124157779450918142102670032154
absolute error = 3e-31
relative error = 1.9835815281404151438812987610087e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.176
y[1] (analytic) = 1.5121589125724074864543642554855
y[1] (numeric) = 1.5121589125724074864543642554853
absolute error = 2e-31
relative error = 1.3226123149965119599938308140009e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.177
y[1] (analytic) = 1.5119015193690984102480196368144
y[1] (numeric) = 1.5119015193690984102480196368141
absolute error = 3e-31
relative error = 1.9842562240772602743633760497161e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.178
y[1] (analytic) = 1.5116435985693151239121299939048
y[1] (numeric) = 1.5116435985693151239121299939047
absolute error = 1e-31
relative error = 6.6153159444887885426981949792691e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=812.5MB, alloc=4.4MB, time=68.47
x[1] = 0.179
y[1] (analytic) = 1.511385150407156055757253057764
y[1] (numeric) = 1.5113851504071560557572530577639
absolute error = 1e-31
relative error = 6.6164471692116820569909193717708e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.18
y[1] (analytic) = 1.5111261751166675319619762021087
y[1] (numeric) = 1.5111261751166675319619762021085
absolute error = 2e-31
relative error = 1.3235162178602250929513535364541e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.181
y[1] (analytic) = 1.5108666729318437844503783854898
y[1] (numeric) = 1.5108666729318437844503783854895
absolute error = 3e-31
relative error = 1.9856153118914762276948474353965e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.182
y[1] (analytic) = 1.5106066440866269587685853615866
y[1] (numeric) = 1.5106066440866269587685853615864
absolute error = 2e-31
relative error = 1.3239714043554202610432295645506e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.183
y[1] (analytic) = 1.5103460888149071219604182421172
y[1] (numeric) = 1.510346088814907121960418242117
absolute error = 2e-31
relative error = 1.3241998074555877195782341939546e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.184
y[1] (analytic) = 1.5100850073505222704421354968009
y[1] (numeric) = 1.5100850073505222704421354968007
absolute error = 2e-31
relative error = 1.3244287508747898105609939521000e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=816.3MB, alloc=4.4MB, time=68.84
x[1] = 0.185
y[1] (analytic) = 1.5098233999272583378762684748083
y[1] (numeric) = 1.5098233999272583378762684748081
absolute error = 2e-31
relative error = 1.3246582349275801671602921340091e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.186
y[1] (analytic) = 1.5095612667788492030445505321212
y[1] (numeric) = 1.509561266778849203044550532121
absolute error = 2e-31
relative error = 1.3248882599297641455452010003303e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.187
y[1] (analytic) = 1.5092986081389766977199398492228
y[1] (numeric) = 1.5092986081389766977199398492226
absolute error = 2e-31
relative error = 1.3251188261984002051424560943275e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.188
y[1] (analytic) = 1.5090354242412706145377360235296
y[1] (numeric) = 1.5090354242412706145377360235295
absolute error = 1e-31
relative error = 6.6267496702590064808636791489402e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.189
y[1] (analytic) = 1.508771715319308714865790520971
y[1] (numeric) = 1.5087717153193087148657905209709
absolute error = 1e-31
relative error = 6.6279079190476812723918866268318e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=820.1MB, alloc=4.4MB, time=69.21
x[1] = 0.19
y[1] (analytic) = 1.5085074816066167366738110711143
y[1] (numeric) = 1.5085074816066167366738110711142
absolute error = 1e-31
relative error = 6.6290688789621560182756944821853e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.191
y[1] (analytic) = 1.5082427233366684024017600902294
y[1] (numeric) = 1.5082427233366684024017600902292
absolute error = 2e-31
relative error = 1.3260465103225709645006992440264e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.192
y[1] (analytic) = 1.5079774407428854268273472166764
y[1] (numeric) = 1.5079774407428854268273472166762
absolute error = 2e-31
relative error = 1.3262797877233004717926632032236e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.193
y[1] (analytic) = 1.5077116340586375249326160429975
y[1] (numeric) = 1.5077116340586375249326160429974
absolute error = 1e-31
relative error = 6.6325680415961309920446196601954e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.194
y[1] (analytic) = 1.5074453035172424197696251290842
y[1] (numeric) = 1.5074453035172424197696251290841
absolute error = 1e-31
relative error = 6.6337398621810879340165581869974e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.195
y[1] (analytic) = 1.5071784493519658503252233807855
y[1] (numeric) = 1.5071784493519658503252233807855
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=824.0MB, alloc=4.4MB, time=69.58
x[1] = 0.196
y[1] (analytic) = 1.506911071796021579384919878318
y[1] (numeric) = 1.506911071796021579384919878318
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.197
y[1] (analytic) = 1.5066431710825714013958482388281
y[1] (numeric) = 1.5066431710825714013958482388281
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.198
y[1] (analytic) = 1.5063747474447251503288255974549
y[1] (numeric) = 1.5063747474447251503288255974548
absolute error = 1e-31
relative error = 6.6384543533825666222091091205905e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.199
y[1] (analytic) = 1.5061058011155407075395062912307
y[1] (numeric) = 1.5061058011155407075395062912306
absolute error = 1e-31
relative error = 6.6396397866558986324774941026050e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.2
y[1] (analytic) = 1.5058363323280240096286303301544
y[1] (numeric) = 1.5058363323280240096286303301543
absolute error = 1e-31
relative error = 6.6408279474436594942149819546103e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.201
y[1] (analytic) = 1.505566341315129056301366739762
y[1] (numeric) = 1.5055663413151290563013667397619
absolute error = 1e-31
relative error = 6.6420188374196038644225104895857e-30 %
Correct digits = 31
h = 0.001
NO POLE
memory used=827.8MB, alloc=4.4MB, time=69.94
TOP MAIN SOLVE Loop
x[1] = 0.202
y[1] (analytic) = 1.5052958283097579182257518595148
y[1] (numeric) = 1.5052958283097579182257518595147
absolute error = 1e-31
relative error = 6.6432124582638598388494353257911e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.203
y[1] (analytic) = 1.5050247935447607448902226813182
y[1] (numeric) = 1.5050247935447607448902226813181
absolute error = 1e-31
relative error = 6.6444088116629364433356144969573e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.204
y[1] (analytic) = 1.5047532372529357724602453124774
y[1] (numeric) = 1.5047532372529357724602453124773
absolute error = 1e-31
relative error = 6.6456078993097311625987118558068e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.205
y[1] (analytic) = 1.5044811596670293316340386473899
y[1] (numeric) = 1.5044811596670293316340386473899
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.206
y[1] (analytic) = 1.504208561019735855497393332268
y[1] (numeric) = 1.5042085610197358554973933322681
absolute error = 1e-31
relative error = 6.6480142841500526141091466541699e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=831.6MB, alloc=4.4MB, time=70.32
x[1] = 0.207
y[1] (analytic) = 1.5039354415436978873775861071778
y[1] (numeric) = 1.5039354415436978873775861071778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.208
y[1] (analytic) = 1.503661801471506088696389609674
y[1] (numeric) = 1.5036618014715060886963896096741
absolute error = 1e-31
relative error = 6.6504316264560617082982834618955e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.209
y[1] (analytic) = 1.5033876410356992468221777243068
y[1] (numeric) = 1.5033876410356992468221777243069
absolute error = 1e-31
relative error = 6.6516444109590370807097877257541e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.21
y[1] (analytic) = 1.5031129604687642829211265622632
y[1] (numeric) = 1.5031129604687642829211265622632
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.211
y[1] (analytic) = 1.5028377600031362598075111554063
y[1] (numeric) = 1.5028377600031362598075111554063
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.212
y[1] (analytic) = 1.5025620398711983897930979489659
y[1] (numeric) = 1.502562039871198389793097948966
absolute error = 1e-31
relative error = 6.6552992386638579385039397201967e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=835.4MB, alloc=4.4MB, time=70.68
x[1] = 0.213
y[1] (analytic) = 1.5022858003052820425356331771256
y[1] (numeric) = 1.5022858003052820425356331771257
absolute error = 1e-31
relative error = 6.6565230117783733686219050710458e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.214
y[1] (analytic) = 1.5020090415376667528864272057482
y[1] (numeric) = 1.5020090415376667528864272057483
absolute error = 1e-31
relative error = 6.6577495364226302451534500308303e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.215
y[1] (analytic) = 1.5017317638005802287370349264735
y[1] (numeric) = 1.5017317638005802287370349264736
absolute error = 1e-31
relative error = 6.6589788143603067797963037179564e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.216
y[1] (analytic) = 1.5014539673261983588650322864145
y[1] (numeric) = 1.5014539673261983588650322864146
absolute error = 1e-31
relative error = 6.6602108473615629348798890755688e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.217
y[1] (analytic) = 1.501175652346645220778889037674
y[1] (numeric) = 1.501175652346645220778889037674
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=839.2MB, alloc=4.4MB, time=71.05
x[1] = 0.218
y[1] (analytic) = 1.5008968190939930885619377908939
y[1] (numeric) = 1.5008968190939930885619377908939
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.219
y[1] (analytic) = 1.5006174678002624407154394570468
y[1] (numeric) = 1.5006174678002624407154394570469
absolute error = 1e-31
relative error = 6.6639234945458037371451005526726e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.22
y[1] (analytic) = 1.500337598697421968000745161669
y[1] (numeric) = 1.5003375986974219680007451616691
absolute error = 1e-31
relative error = 6.6651665656328945885308266892396e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.221
y[1] (analytic) = 1.5000572120173885812805547157297
y[1] (numeric) = 1.5000572120173885812805547157297
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.222
y[1] (analytic) = 1.4997763079920274193592717273241
y[1] (numeric) = 1.4997763079920274193592717273241
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.223
y[1] (analytic) = 1.4994948868531518568224554383718
y[1] (numeric) = 1.4994948868531518568224554383719
absolute error = 1e-31
relative error = 6.6689123702089138224443553172173e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=843.0MB, alloc=4.4MB, time=71.42
x[1] = 0.224
y[1] (analytic) = 1.4992129488325235118753693704945
y[1] (numeric) = 1.4992129488325235118753693704946
absolute error = 1e-31
relative error = 6.6701665082250407256881690562438e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.225
y[1] (analytic) = 1.4989304941618522541806268642405
y[1] (numeric) = 1.4989304941618522541806268642406
absolute error = 1e-31
relative error = 6.6714234175292020453614690730335e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.226
y[1] (analytic) = 1.4986475230727962126949335958183
y[1] (numeric) = 1.4986475230727962126949335958185
absolute error = 2e-31
relative error = 1.3345366199913645660907890846297e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.227
y[1] (analytic) = 1.4983640357969617835049271554936
y[1] (numeric) = 1.4983640357969617835049271554937
absolute error = 1e-31
relative error = 6.6739455573499002501082044428608e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.228
y[1] (analytic) = 1.4980800325659036376621137717965
y[1] (numeric) = 1.4980800325659036376621137717967
absolute error = 2e-31
relative error = 1.3350421583114024085592363061941e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=846.8MB, alloc=4.4MB, time=71.80
x[1] = 0.229
y[1] (analytic) = 1.4977955136111247290169022656836
y[1] (numeric) = 1.4977955136111247290169022656837
absolute error = 1e-31
relative error = 6.6764788044333250047956263568349e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.23
y[1] (analytic) = 1.4975104791640763020517353187854
y[1] (numeric) = 1.4975104791640763020517353187855
absolute error = 1e-31
relative error = 6.6777495978406035180464677637140e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.231
y[1] (analytic) = 1.497224929456157899713318139872
y[1] (numeric) = 1.4972249294561578997133181398721
absolute error = 1e-31
relative error = 6.6790231736472181174673083672342e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.232
y[1] (analytic) = 1.4969388647187173712439446136552
y[1] (numeric) = 1.4969388647187173712439446136552
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.233
y[1] (analytic) = 1.4966522851830508800119210160439
y[1] (numeric) = 1.496652285183050880011921016044
absolute error = 1e-31
relative error = 6.6815786799650201601526392510227e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.234
y[1] (analytic) = 1.4963651910804029113410873799618
y[1] (numeric) = 1.4963651910804029113410873799619
absolute error = 1e-31
relative error = 6.6828606142460570980549690703685e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=850.7MB, alloc=4.4MB, time=72.18
x[1] = 0.235
y[1] (analytic) = 1.4960775826419662803394365958274
y[1] (numeric) = 1.4960775826419662803394365958274
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.236
y[1] (analytic) = 1.4957894600988821397268313307934
y[1] (numeric) = 1.4957894600988821397268313307934
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.237
y[1] (analytic) = 1.4955008236822399876618188508342
y[1] (numeric) = 1.4955008236822399876618188508342
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.238
y[1] (analytic) = 1.4952116736230776755675438297625
y[1] (numeric) = 1.4952116736230776755675438297625
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.239
y[1] (analytic) = 1.4949220101523814159567592292523
y[1] (numeric) = 1.4949220101523814159567592292522
absolute error = 1e-31
relative error = 6.6893121728675819946765330515683e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.24
y[1] (analytic) = 1.494631833501085790255935333935
y[1] (numeric) = 1.494631833501085790255935333935
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=854.5MB, alloc=4.4MB, time=72.55
x[1] = 0.241
y[1] (analytic) = 1.4943411439000737566284670256346
y[1] (numeric) = 1.4943411439000737566284670256346
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.242
y[1] (analytic) = 1.4940499415801766577969793807936
y[1] (numeric) = 1.4940499415801766577969793807935
absolute error = 1e-31
relative error = 6.6932166868689377450344601374517e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.243
y[1] (analytic) = 1.493758226772174228864731675142
y[1] (numeric) = 1.4937582267721742288647316751419
absolute error = 1e-31
relative error = 6.6945237996169945426055540020588e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.244
y[1] (analytic) = 1.4934659997067946051361198796517
y[1] (numeric) = 1.4934659997067946051361198796516
absolute error = 1e-31
relative error = 6.6958337196583347526594547355668e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.245
y[1] (analytic) = 1.4931732606147143299362777318108
y[1] (numeric) = 1.4931732606147143299362777318106
absolute error = 2e-31
relative error = 1.3394292897909473825088010296410e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=858.3MB, alloc=4.4MB, time=72.92
x[1] = 0.246
y[1] (analytic) = 1.4928800097265583624297764662483
y[1] (numeric) = 1.4928800097265583624297764662482
absolute error = 1e-31
relative error = 6.6984619894747190134884749401280e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.247
y[1] (analytic) = 1.4925862472729000854384232887336
y[1] (numeric) = 1.4925862472729000854384232887336
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.248
y[1] (analytic) = 1.4922919734842613132581586775643
y[1] (numeric) = 1.4922919734842613132581586775643
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.249
y[1] (analytic) = 1.4919971885911122994750525963539
y[1] (numeric) = 1.4919971885911122994750525963538
absolute error = 1e-31
relative error = 6.7024254981626103786737662862473e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.25
y[1] (analytic) = 1.4917018928238717447803997022225
y[1] (numeric) = 1.4917018928238717447803997022224
absolute error = 1e-31
relative error = 6.7037523033972044417199959886697e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.251
y[1] (analytic) = 1.4914060864129068047849136333872
y[1] (numeric) = 1.491406086412906804784913633387
absolute error = 2e-31
relative error = 1.3410163859598767983766258782808e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=862.1MB, alloc=4.4MB, time=73.29
x[1] = 0.252
y[1] (analytic) = 1.4911097695885330978320204601407
y[1] (numeric) = 1.4911097695885330978320204601405
absolute error = 2e-31
relative error = 1.3412828758756597174381845284611e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.253
y[1] (analytic) = 1.4908129425810147128102513832039
y[1] (numeric) = 1.4908129425810147128102513832038
absolute error = 1e-31
relative error = 6.7077496541499025711376144716498e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.254
y[1] (analytic) = 1.4905156056205642169647347634283
y[1] (numeric) = 1.4905156056205642169647347634281
absolute error = 2e-31
relative error = 1.3418175512273929141540487532546e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.255
y[1] (analytic) = 1.4902177589373426637077875668168
y[1] (numeric) = 1.4902177589373426637077875668166
absolute error = 2e-31
relative error = 1.3420857374738154072594693740073e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.256
y[1] (analytic) = 1.4899194027614596004286063088305
y[1] (numeric) = 1.4899194027614596004286063088303
absolute error = 2e-31
relative error = 1.3423544899765331644623575712795e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=865.9MB, alloc=4.4MB, time=73.66
x[1] = 0.257
y[1] (analytic) = 1.4896205373229730763020575819345
y[1] (numeric) = 1.4896205373229730763020575819343
absolute error = 2e-31
relative error = 1.3426238091441999621439907077687e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.258
y[1] (analytic) = 1.4893211628518896500965682503365
y[1] (numeric) = 1.4893211628518896500965682503363
absolute error = 2e-31
relative error = 1.3428936953868401150940049995712e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.259
y[1] (analytic) = 1.4890212795781643979811153958599
y[1] (numeric) = 1.4890212795781643979811153958597
absolute error = 2e-31
relative error = 1.3431641491158504178345037835862e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.26
y[1] (analytic) = 1.4887208877317009213313160988903
y[1] (numeric) = 1.48872088773170092133131609889
absolute error = 3e-31
relative error = 2.0151527561160031415120325162015e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.261
y[1] (analytic) = 1.4884199875423513545346171383252
y[1] (numeric) = 1.4884199875423513545346171383249
absolute error = 3e-31
relative error = 2.0155601410281641342722652077128e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.262
y[1] (analytic) = 1.488118579239916372794584694452
y[1] (numeric) = 1.4881185792399163727945846944518
absolute error = 2e-31
relative error = 1.3439789193556983690852738092027e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=869.7MB, alloc=4.4MB, time=74.03
x[1] = 0.263
y[1] (analytic) = 1.487816663054145199934294138672
y[1] (numeric) = 1.4878166630541451999342941386717
absolute error = 3e-31
relative error = 2.0163774707575128419588268411187e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.264
y[1] (analytic) = 1.4875142392147356161988199939795
y[1] (numeric) = 1.4875142392147356161988199939793
absolute error = 2e-31
relative error = 1.3445249445516619404521979759094e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.265
y[1] (analytic) = 1.4872113079513339660568261501045
y[1] (numeric) = 1.4872113079513339660568261501042
absolute error = 3e-31
relative error = 2.0171982178729971282205427375654e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.266
y[1] (analytic) = 1.4869078694935351660012564172122
y[1] (numeric) = 1.4869078694935351660012564172119
absolute error = 3e-31
relative error = 2.0176098745256143207957068153496e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.267
y[1] (analytic) = 1.4866039240708827123491255020549
y[1] (numeric) = 1.4866039240708827123491255020546
absolute error = 3e-31
relative error = 2.0180223874190157859414357374964e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=873.5MB, alloc=4.4MB, time=74.40
x[1] = 0.268
y[1] (analytic) = 1.4862994719128686890404104904583
y[1] (numeric) = 1.4862994719128686890404104904581
absolute error = 2e-31
relative error = 1.3456238381259722126002278649550e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.269
y[1] (analytic) = 1.485994513248933775436042920022
y[1] (numeric) = 1.4859945132489337754360429200217
absolute error = 3e-31
relative error = 2.0188499844732872518527717978329e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.27
y[1] (analytic) = 1.4856890483084672541150015269043
y[1] (numeric) = 1.4856890483084672541150015269039
absolute error = 4e-31
relative error = 2.6923534265492526747126136024798e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.271
y[1] (analytic) = 1.4853830773208070186705057505584
y[1] (numeric) = 1.4853830773208070186705057505581
absolute error = 3e-31
relative error = 2.0196810141469466567687942596358e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.272
y[1] (analytic) = 1.4850766005152395815053100802775
y[1] (numeric) = 1.4850766005152395815053100802772
absolute error = 3e-31
relative error = 2.0200978178224380114435692516420e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.273
y[1] (analytic) = 1.4847696181210000816260993273993
y[1] (numeric) = 1.4847696181210000816260993273991
absolute error = 2e-31
relative error = 1.3470103210564291336415086944790e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=877.4MB, alloc=4.4MB, time=74.77
x[1] = 0.274
y[1] (analytic) = 1.484462130367272292436984907019
y[1] (numeric) = 1.4844621303672722924369849070187
absolute error = 3e-31
relative error = 2.0209340060818977812000106755500e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.275
y[1] (analytic) = 1.4841541374831886295321022130445
y[1] (numeric) = 1.4841541374831886295321022130442
absolute error = 3e-31
relative error = 2.0213533919646413549946117988647e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.276
y[1] (analytic) = 1.4838456396978301584873091704316
y[1] (numeric) = 1.4838456396978301584873091704314
absolute error = 2e-31
relative error = 1.3478490932569504648020374705883e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.277
y[1] (analytic) = 1.4835366372402266026509860484205
y[1] (numeric) = 1.4835366372402266026509860484202
absolute error = 3e-31
relative error = 2.0221947504989154003542058657790e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.278
y[1] (analytic) = 1.483227130339356350933936618594
y[1] (numeric) = 1.4832271303393563509339366185937
absolute error = 3e-31
relative error = 2.0226167244618915304284253159408e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.279
y[1] (analytic) = 1.4829171192241464655983907415718
y[1] (numeric) = 1.4829171192241464655983907415715
absolute error = 3e-31
relative error = 2.0230395624332547962951063585184e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=881.2MB, alloc=4.4MB, time=75.14
TOP MAIN SOLVE Loop
x[1] = 0.28
y[1] (analytic) = 1.4826066041234726900461084661439
y[1] (numeric) = 1.4826066041234726900461084661435
absolute error = 4e-31
relative error = 2.6979510200987049764522500722470e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.281
y[1] (analytic) = 1.4822955852661594566055857246439
y[1] (numeric) = 1.4822955852661594566055857246435
absolute error = 4e-31
relative error = 2.6985171107298171924105654359911e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.282
y[1] (analytic) = 1.4819840628809798943183617083563
y[1] (numeric) = 1.4819840628809798943183617083559
absolute error = 4e-31
relative error = 2.6990843560247147578790921063506e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.283
y[1] (analytic) = 1.4816720371966558367244280067411
y[1] (numeric) = 1.4816720371966558367244280067408
absolute error = 3e-31
relative error = 2.0247395676549594936937838235354e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.284
y[1] (analytic) = 1.4813595084418578296467395942584
y[1] (numeric) = 1.4813595084418578296467395942581
absolute error = 3e-31
relative error = 2.0251667356261800977507504502009e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used
Radius of convergence = 1.192
Order of pole = 10.36
TOP MAIN SOLVE Loop
memory used=885.0MB, alloc=4.4MB, time=75.50
x[1] = 0.285
y[1] (analytic) = 1.4810464768452051389748277485636
y[1] (numeric) = 1.4810464768452051389748277485633
absolute error = 3e-31
relative error = 2.0255947716038837457521184275319e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.286
y[1] (analytic) = 1.4807329426352657584475149838419
y[1] (numeric) = 1.4807329426352657584475149838416
absolute error = 3e-31
relative error = 2.0260236762618985028745733734792e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.287
y[1] (analytic) = 1.4804189060405564174347320830406
y[1] (numeric) = 1.4804189060405564174347320830403
absolute error = 3e-31
relative error = 2.0264534502761979101329751747704e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.288
y[1] (analytic) = 1.4801043672895425887184373127533
y[1] (numeric) = 1.4801043672895425887184373127529
absolute error = 4e-31
relative error = 2.7025121257665390315428947421551e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.289
y[1] (analytic) = 1.4797893266106384962726379045024
y[1] (numeric) = 1.4797893266106384962726379045021
absolute error = 3e-31
relative error = 2.0273156090882919674447485387280e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.29
y[1] (analytic) = 1.4794737842322071230425138861616
y[1] (numeric) = 1.4794737842322071230425138861612
absolute error = 4e-31
relative error = 2.7036639936650543328298707079280e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=888.8MB, alloc=4.4MB, time=75.88
x[1] = 0.291
y[1] (analytic) = 1.4791577403825602187226443472491
y[1] (numeric) = 1.4791577403825602187226443472488
absolute error = 3e-31
relative error = 2.0281812534909890922487551826635e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.292
y[1] (analytic) = 1.478841195289958307534336221823
y[1] (numeric) = 1.4788411952899583075343362218226
absolute error = 4e-31
relative error = 2.7048205126688500329221520092752e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.293
y[1] (analytic) = 1.4785241491826106960020556726947
y[1] (numeric) = 1.4785241491826106960020556726943
absolute error = 4e-31
relative error = 2.7054005186262026541504576747459e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.294
y[1] (analytic) = 1.4782066022886754807289621606791
y[1] (numeric) = 1.4782066022886754807289621606787
absolute error = 4e-31
relative error = 2.7059816901148229581255340434908e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.295
y[1] (analytic) = 1.4778885548362595561715452825851
y[1] (numeric) = 1.4778885548362595561715452825846
absolute error = 5e-31
relative error = 3.3832050350738168440621353069727e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=892.6MB, alloc=4.4MB, time=76.24
x[1] = 0.296
y[1] (analytic) = 1.4775700070534186224133644616495
y[1] (numeric) = 1.477570007053418622413364461649
absolute error = 5e-31
relative error = 3.3839344167326718652871035830035e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.297
y[1] (analytic) = 1.4772509591681571929378915741088
y[1] (numeric) = 1.4772509591681571929378915741083
absolute error = 5e-31
relative error = 3.3846652587827795013458410174621e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.298
y[1] (analytic) = 1.4769314114084286024004565955951
y[1] (numeric) = 1.4769314114084286024004565955946
absolute error = 5e-31
relative error = 3.3853975623904628330928975715150e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.299
y[1] (analytic) = 1.4766113640021350143992963510388
y[1] (numeric) = 1.4766113640021350143992963510384
absolute error = 4e-31
relative error = 2.7089050629805504115598894552358e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.3
y[1] (analytic) = 1.4762908171771274292457064517528
y[1] (numeric) = 1.4762908171771274292457064517524
absolute error = 4e-31
relative error = 2.7094932471696560221645254128607e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.301
y[1] (analytic) = 1.4759697711612056917332965033646
y[1] (numeric) = 1.4759697711612056917332965033641
absolute error = 5e-31
relative error = 3.3876032542768784619480729738271e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=896.4MB, alloc=4.4MB, time=76.61
x[1] = 0.302
y[1] (analytic) = 1.4756482261821184989063486682602
y[1] (numeric) = 1.4756482261821184989063486682598
absolute error = 4e-31
relative error = 2.7106731326808346517474122561941e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.303
y[1] (analytic) = 1.4753261824675634078272796661937
y[1] (numeric) = 1.4753261824675634078272796661933
absolute error = 4e-31
relative error = 2.7112648358953286533665746135623e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.304
y[1] (analytic) = 1.4750036402451868433432062967104
y[1] (numeric) = 1.4750036402451868433432062967099
absolute error = 5e-31
relative error = 3.3898221425194992802734640041213e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.305
y[1] (analytic) = 1.4746805997425841058516145670261
y[1] (numeric) = 1.4746805997425841058516145670256
absolute error = 5e-31
relative error = 3.3905647099940049706296183300123e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.306
y[1] (analytic) = 1.4743570611872993790651325089987
y[1] (numeric) = 1.4743570611872993790651325089982
absolute error = 5e-31
relative error = 3.3913087484883080009815805908615e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=900.2MB, alloc=4.4MB, time=76.98
x[1] = 0.307
y[1] (analytic) = 1.4740330248068257377754067688189
y[1] (numeric) = 1.4740330248068257377754067688184
absolute error = 5e-31
relative error = 3.3920542592017282509305264652492e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.308
y[1] (analytic) = 1.473708490828605155616083053044
y[1] (numeric) = 1.4737084908286051556160830530435
absolute error = 5e-31
relative error = 3.3928012433372813084561058311888e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.309
y[1] (analytic) = 1.4733834594800285128248905145895
y[1] (numeric) = 1.473383459480028512824890514589
absolute error = 5e-31
relative error = 3.3935497021016844354995424091305e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.31
y[1] (analytic) = 1.4730579309884356040048301622881
y[1] (numeric) = 1.4730579309884356040048301622876
absolute error = 5e-31
relative error = 3.3942996367053625572076173356114e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.311
y[1] (analytic) = 1.4727319055811151458844673776184
y[1] (numeric) = 1.472731905581115145884467377618
absolute error = 4e-31
relative error = 2.7160408386899634199182442367804e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.312
y[1] (analytic) = 1.4724053834853047850773286221996
y[1] (numeric) = 1.4724053834853047850773286221992
absolute error = 4e-31
relative error = 2.7166431506326543222440954688615e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=904.1MB, alloc=4.4MB, time=77.35
x[1] = 0.313
y[1] (analytic) = 1.472078364928191105840402419641
y[1] (numeric) = 1.4720783649281911058404024196405
absolute error = 5e-31
relative error = 3.3965583077120375286715089878245e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.314
y[1] (analytic) = 1.4717508501369096378317446953298
y[1] (numeric) = 1.4717508501369096378317446953294
absolute error = 4e-31
relative error = 2.7178513262811432785911567100190e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.315
y[1] (analytic) = 1.4714228393385448638671885577343
y[1] (numeric) = 1.4714228393385448638671885577339
absolute error = 4e-31
relative error = 2.7184571919504372189660973159362e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.316
y[1] (analytic) = 1.47109433276013022767615860479
y[1] (numeric) = 1.4710943327601302276761586047896
absolute error = 4e-31
relative error = 2.7190642441637502529767794723346e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.317
y[1] (analytic) = 1.4707653306286481416565898389341
y[1] (numeric) = 1.4707653306286481416565898389337
absolute error = 4e-31
relative error = 2.7196724839103209939516421550914e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.318
y[1] (analytic) = 1.470435833171029994628951274344
y[1] (numeric) = 1.4704358331710299946289512743437
absolute error = 3e-31
memory used=907.9MB, alloc=4.4MB, time=77.72
relative error = 2.0402114341367949031596123998305e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.319
y[1] (analytic) = 1.4701058406141561595893743199306
y[1] (numeric) = 1.4701058406141561595893743199303
absolute error = 3e-31
relative error = 2.0406693974814155692703400197025e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.32
y[1] (analytic) = 1.4697753531848560014618860216289
y[1] (numeric) = 1.4697753531848560014618860216285
absolute error = 4e-31
relative error = 2.7215043382870726299783554418935e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.321
y[1] (analytic) = 1.4694443711099078848497472475239
y[1] (numeric) = 1.4694443711099078848497472475236
absolute error = 3e-31
relative error = 2.0415880035894284158586005644821e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.322
y[1] (analytic) = 1.4691128946160391817858958993429
y[1] (numeric) = 1.4691128946160391817858958993425
absolute error = 4e-31
relative error = 2.7227315304760307247993468004720e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.323
y[1] (analytic) = 1.4687809239299262794824952338353
y[1] (numeric) = 1.468780923929926279482495233835
absolute error = 3e-31
relative error = 2.0425101872735966225124845983995e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=911.7MB, alloc=4.4MB, time=78.09
x[1] = 0.324
y[1] (analytic) = 1.4684484592781945880795873775617
y[1] (numeric) = 1.4684484592781945880795873775614
absolute error = 3e-31
relative error = 2.0429726225969338381789072158111e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.325
y[1] (analytic) = 1.4681155008874185483928521185985
y[1] (numeric) = 1.4681155008874185483928521185982
absolute error = 3e-31
relative error = 2.0434359545870996058869714162357e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.326
y[1] (analytic) = 1.4677820489841216396604710586661
y[1] (numeric) = 1.4677820489841216396604710586658
absolute error = 3e-31
relative error = 2.0439001840064428963592562701356e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.327
y[1] (analytic) = 1.4674481037947763872890972091762
y[1] (numeric) = 1.4674481037947763872890972091759
absolute error = 3e-31
relative error = 2.0443653116196005763154572216221e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.328
y[1] (analytic) = 1.4671136655458043705989301146898
y[1] (numeric) = 1.4671136655458043705989301146895
absolute error = 3e-31
relative error = 2.0448313381935012639094517851500e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.329
y[1] (analytic) = 1.4667787344635762305678965872718
y[1] (numeric) = 1.4667787344635762305678965872715
absolute error = 3e-31
relative error = 2.0452982644973691990800630447451e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=915.5MB, alloc=4.4MB, time=78.46
x[1] = 0.33
y[1] (analytic) = 1.4664433107744116775749371352182
y[1] (numeric) = 1.4664433107744116775749371352178
absolute error = 4e-31
relative error = 2.7276881217369708384734238827122e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.331
y[1] (analytic) = 1.4661073947045794991423981696293
y[1] (numeric) = 1.4661073947045794991423981696289
absolute error = 4e-31
relative error = 2.7283130925112069435309091479095e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.332
y[1] (analytic) = 1.4657709864802975676775300722934
y[1] (numeric) = 1.4657709864802975676775300722931
absolute error = 3e-31
relative error = 2.0467044495155349125889373001524e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.333
y[1] (analytic) = 1.465434086327732848213091208339
y[1] (numeric) = 1.4654340863277328482130912083387
absolute error = 3e-31
relative error = 2.0471749824775629739255588734535e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.334
y[1] (analytic) = 1.4650966944730014061470579671073
y[1] (numeric) = 1.465096694473001406147057967107
absolute error = 3e-31
relative error = 2.0476464190502503205411257954774e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=919.3MB, alloc=4.4MB, time=78.83
x[1] = 0.335
y[1] (analytic) = 1.4647588111421684149814409146917
y[1] (numeric) = 1.4647588111421684149814409146915
absolute error = 2e-31
relative error = 1.3654125066777846937489992279493e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.336
y[1] (analytic) = 1.4644204365612481640602071415823
y[1] (numeric) = 1.4644204365612481640602071415821
absolute error = 2e-31
relative error = 1.3657280041081642383531185469660e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.337
y[1] (analytic) = 1.4640815709562040663063088888465
y[1] (numeric) = 1.4640815709562040663063088888463
absolute error = 2e-31
relative error = 1.3660441055164590805902961712310e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.338
y[1] (analytic) = 1.4637422145529486659578185362741
y[1] (numeric) = 1.4637422145529486659578185362739
absolute error = 2e-31
relative error = 1.3663608114293768753075557624051e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.339
y[1] (analytic) = 1.4634023675773436463031700359039
y[1] (numeric) = 1.4634023675773436463031700359037
absolute error = 2e-31
relative error = 1.3666781223751820469107812791267e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.34
y[1] (analytic) = 1.4630620302551998374155068743454
y[1] (numeric) = 1.4630620302551998374155068743451
absolute error = 3e-31
relative error = 2.0504940583255477210996018751174e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=923.1MB, alloc=4.4MB, time=79.21
x[1] = 0.341
y[1] (analytic) = 1.4627212028122772238861366473014
y[1] (numeric) = 1.4627212028122772238861366473011
absolute error = 3e-31
relative error = 2.0509718422294683370052169507475e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.342
y[1] (analytic) = 1.4623798854742849525570923296919
y[1] (numeric) = 1.4623798854742849525570923296916
absolute error = 3e-31
relative error = 2.0514505360739613016661123160897e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.343
y[1] (analytic) = 1.4620380784668813402528003247711
y[1] (numeric) = 1.4620380784668813402528003247707
absolute error = 4e-31
relative error = 2.7359068542144058583798084937750e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.344
y[1] (analytic) = 1.4616957820156738815108553756247
y[1] (numeric) = 1.4616957820156738815108553756243
absolute error = 4e-31
relative error = 2.7365475423921745147867729009020e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.345
y[1] (analytic) = 1.461352996346219256311902422428
y[1] (numeric) = 1.4613529963462192563119024224276
absolute error = 4e-31
relative error = 2.7371894470405782130827640155468e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=927.0MB, alloc=4.4MB, time=79.57
x[1] = 0.346
y[1] (analytic) = 1.4610097216840233378086254888371
y[1] (numeric) = 1.4610097216840233378086254888367
absolute error = 4e-31
relative error = 2.7378325692380924463599754909995e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.347
y[1] (analytic) = 1.4606659582545412000538436808808
y[1] (numeric) = 1.4606659582545412000538436808804
absolute error = 4e-31
relative error = 2.7384769100663498868178384310265e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.348
y[1] (analytic) = 1.4603217062831771257277143817136
y[1] (numeric) = 1.4603217062831771257277143817132
absolute error = 4e-31
relative error = 2.7391224706101459343482654933179e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.349
y[1] (analytic) = 1.4599769659952846138640437255832
y[1] (numeric) = 1.4599769659952846138640437255828
absolute error = 4e-31
relative error = 2.7397692519574442861082778381589e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.35
y[1] (analytic) = 1.4596317376161663875757044343603
y[1] (numeric) = 1.4596317376161663875757044343599
absolute error = 4e-31
relative error = 2.7404172551993825271378496600933e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.351
y[1] (analytic) = 1.4592860213710744017791610999711
y[1] (numeric) = 1.4592860213710744017791610999708
absolute error = 3e-31
relative error = 2.0557998610727083065608029055610e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=930.8MB, alloc=4.4MB, time=79.94
x[1] = 0.352
y[1] (analytic) = 1.4589398174852098509181029960668
y[1] (numeric) = 1.4589398174852098509181029960664
absolute error = 4e-31
relative error = 2.7417169317476321480689923744645e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.353
y[1] (analytic) = 1.4585931261837231766861845022573
y[1] (numeric) = 1.4585931261837231766861845022569
absolute error = 4e-31
relative error = 2.7423686072521387488227951504142e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.354
y[1] (analytic) = 1.4582459476917140757488732242318
y[1] (numeric) = 1.4582459476917140757488732242314
absolute error = 4e-31
relative error = 2.7430215090476870100361744309690e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.355
y[1] (analytic) = 1.4578982822342315074644058930788
y[1] (numeric) = 1.4578982822342315074644058930784
absolute error = 4e-31
relative error = 2.7436756382413685560961229517843e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.356
y[1] (analytic) = 1.4575501300362737016038521271149
y[1] (numeric) = 1.4575501300362737016038521271146
absolute error = 3e-31
relative error = 2.0582482469576121661511620424028e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=934.6MB, alloc=4.4MB, time=80.31
x[1] = 0.357
y[1] (analytic) = 1.4572014913227881660702861395242
y[1] (numeric) = 1.4572014913227881660702861395239
absolute error = 3e-31
relative error = 2.0587406874506573429545867556149e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.358
y[1] (analytic) = 1.4568523663186716946170664751015
y[1] (numeric) = 1.4568523663186716946170664751013
absolute error = 2e-31
relative error = 1.3728227006651408791893067937958e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.359
y[1] (analytic) = 1.4565027552487703745652238593907
y[1] (numeric) = 1.4565027552487703745652238593904
absolute error = 3e-31
relative error = 2.0597283384387423350558563773330e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.36
y[1] (analytic) = 1.4561526583378795945199572434966
y[1] (numeric) = 1.4561526583378795945199572434963
absolute error = 3e-31
relative error = 2.0602235506161418565342146848608e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.361
y[1] (analytic) = 1.4558020758107440520862381278496
y[1] (numeric) = 1.4558020758107440520862381278494
absolute error = 2e-31
relative error = 1.3738131255831526272247241467243e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.362
y[1] (analytic) = 1.455451007892057761583523248189
y[1] (numeric) = 1.4554510078920577615835232481887
absolute error = 3e-31
relative error = 2.0612167525617546242635580937639e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=938.4MB, alloc=4.4MB, time=80.68
x[1] = 0.363
y[1] (analytic) = 1.4550994548064640617595757070279
y[1] (numeric) = 1.4550994548064640617595757070276
absolute error = 3e-31
relative error = 2.0617147440269063239868806921474e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.364
y[1] (analytic) = 1.4547474167785556235033946338574
y[1] (numeric) = 1.4547474167785556235033946338571
absolute error = 3e-31
relative error = 2.0622136636223122566600324191128e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.365
y[1] (analytic) = 1.454394894032874457557253457337
y[1] (numeric) = 1.4543948940328744575572534573367
absolute error = 3e-31
relative error = 2.0627135122025458734801665181184e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.366
y[1] (analytic) = 1.4540418867939119222278468727149
y[1] (numeric) = 1.4540418867939119222278468727146
absolute error = 3e-31
relative error = 2.0632142906246303117585955462584e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.367
y[1] (analytic) = 1.4536883952861087310965465877148
y[1] (numeric) = 1.4536883952861087310965465877146
absolute error = 2e-31
relative error = 1.3758106664986952420287872394794e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.368
y[1] (analytic) = 1.4533344197338549607287659301186
y[1] (numeric) = 1.4533344197338549607287659301183
absolute error = 3e-31
relative error = 2.0642186404347194578402070805088e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=942.2MB, alloc=4.4MB, time=81.05
x[1] = 0.369
y[1] (analytic) = 1.452979960361490058382433400267
y[1] (numeric) = 1.4529799603614900583824334002668
absolute error = 2e-31
relative error = 1.3764814756993727779886899835597e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.37
y[1] (analytic) = 1.4526250173933028497155752516978
y[1] (numeric) = 1.4526250173933028497155752516976
absolute error = 2e-31
relative error = 1.3768178133052858131300269556343e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.371
y[1] (analytic) = 1.4522695910535315464930071831278
y[1] (numeric) = 1.4522695910535315464930071831276
absolute error = 2e-31
relative error = 1.3771547736871113589297082603280e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.372
y[1] (analytic) = 1.4519136815663637542921352249854
y[1] (numeric) = 1.4519136815663637542921352249852
absolute error = 2e-31
relative error = 1.3774923574260598601931989925233e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.373
y[1] (analytic) = 1.4515572891559364802078659036888
y[1] (numeric) = 1.4515572891559364802078659036885
absolute error = 3e-31
relative error = 2.0667458476574939558118040999972e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=946.0MB, alloc=4.4MB, time=81.42
x[1] = 0.374
y[1] (analytic) = 1.4512004140463361405566257668613
y[1] (numeric) = 1.451200414046336140556625766861
absolute error = 3e-31
relative error = 2.0672540959626624139339680088824e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.375
y[1] (analytic) = 1.450843056461598568579490352668
y[1] (numeric) = 1.4508430564615985685794903526678
absolute error = 2e-31
relative error = 1.3785088546225790296177043956851e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.376
y[1] (analytic) = 1.4504852166257090221444226864503
y[1] (numeric) = 1.4504852166257090221444226864501
absolute error = 2e-31
relative error = 1.3788489376352538980634251586461e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.377
y[1] (analytic) = 1.4501268947626021914476213878293
y[1] (numeric) = 1.4501268947626021914476213878291
absolute error = 2e-31
relative error = 1.3791896469359783853679439881821e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.378
y[1] (analytic) = 1.4497680910961622067139784714441
y[1] (numeric) = 1.4497680910961622067139784714439
absolute error = 2e-31
relative error = 1.3795309831159342687128210385855e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.379
y[1] (analytic) = 1.4494088058502226458966469244808
y[1] (numeric) = 1.4494088058502226458966469244806
absolute error = 2e-31
relative error = 1.3798729467679760453764653178781e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=949.8MB, alloc=4.4MB, time=81.79
x[1] = 0.38
y[1] (analytic) = 1.4490490392485665423757181441449
y[1] (numeric) = 1.4490490392485665423757181441447
absolute error = 2e-31
relative error = 1.3802155384866340578451171647213e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.381
y[1] (analytic) = 1.4486887915149263926560093182214
y[1] (numeric) = 1.4486887915149263926560093182212
absolute error = 2e-31
relative error = 1.3805587588681176304113357183910e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.382
y[1] (analytic) = 1.4483280628729841640639608318611
y[1] (numeric) = 1.4483280628729841640639608318609
absolute error = 2e-31
relative error = 1.3809026085103182172934220797709e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.383
y[1] (analytic) = 1.4479668535463713024436437837252
y[1] (numeric) = 1.447966853546371302443643783725
absolute error = 2e-31
relative error = 1.3812470880128125623093592483389e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.384
y[1] (analytic) = 1.4476051637586687398518776946128
y[1] (numeric) = 1.4476051637586687398518776946125
absolute error = 3e-31
relative error = 2.0723882969652988052085013625590e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=953.7MB, alloc=4.4MB, time=82.16
x[1] = 0.385
y[1] (analytic) = 1.4472429937334069022524584916902
y[1] (numeric) = 1.44724299373340690225245849169
absolute error = 2e-31
relative error = 1.3819379390054349892083927302949e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.386
y[1] (analytic) = 1.4468803436940657172094968514357
y[1] (numeric) = 1.4468803436940657172094968514355
absolute error = 2e-31
relative error = 1.3822843117031716062302620534371e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.387
y[1] (analytic) = 1.4465172138640746215798669844029
y[1] (numeric) = 1.4465172138640746215798669844026
absolute error = 3e-31
relative error = 2.0739469750146381786522969416719e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.388
y[1] (analytic) = 1.4461536044668125692047659449037
y[1] (numeric) = 1.4461536044668125692047659449035
absolute error = 2e-31
relative error = 1.3829789545332475215255305176813e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.389
y[1] (analytic) = 1.4457895157256080386003835487042
y[1] (numeric) = 1.4457895157256080386003835487041
absolute error = 1e-31
relative error = 6.9166361294169664969670265673140e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.39
y[1] (analytic) = 1.4454249478637390406476829818173
y[1] (numeric) = 1.4454249478637390406476829818171
absolute error = 2e-31
relative error = 1.3836761313383260056260374604417e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=957.5MB, alloc=4.4MB, time=82.53
x[1] = 0.391
y[1] (analytic) = 1.445059901104433126281292183473
y[1] (numeric) = 1.4450599011044331262812921834728
absolute error = 2e-31
relative error = 1.3840256715112198468446178025936e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.392
y[1] (analytic) = 1.4446943756708673941775060863408
y[1] (numeric) = 1.4446943756708673941775060863407
absolute error = 1e-31
relative error = 6.9218792350848164095241667658812e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.393
y[1] (analytic) = 1.4443283717861684984413997970687
y[1] (numeric) = 1.4443283717861684984413997970685
absolute error = 2e-31
relative error = 1.3847266584721622989964538504108e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.394
y[1] (analytic) = 1.4439618896734126562930528001987
y[1] (numeric) = 1.4439618896734126562930528001985
absolute error = 2e-31
relative error = 1.3850781064951437046769268362106e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.395
y[1] (analytic) = 1.4435949295556256557528842685157
y[1] (numeric) = 1.4435949295556256557528842685155
absolute error = 2e-31
relative error = 1.3854301917059584248744148132944e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=961.3MB, alloc=4.4MB, time=82.89
x[1] = 0.396
y[1] (analytic) = 1.4432274916557828633260995628722
y[1] (numeric) = 1.443227491655782863326099562872
absolute error = 2e-31
relative error = 1.3857829147263848178958664942397e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.397
y[1] (analytic) = 1.4428595761968092316862480045332
y[1] (numeric) = 1.442859576196809231686248004533
absolute error = 2e-31
relative error = 1.3861362761799319994758732585154e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.398
y[1] (analytic) = 1.442491183401579307357892003073
y[1] (numeric) = 1.4424911834015793073578920030729
absolute error = 1e-31
relative error = 6.9324513834592158995111084186631e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.399
y[1] (analytic) = 1.4421223134929172383983876228527
y[1] (numeric) = 1.4421223134929172383983876228526
absolute error = 1e-31
relative error = 6.9342245844454950662710670935074e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.4
y[1] (analytic) = 1.4417529666935967820787766710982
y[1] (numeric) = 1.441752966693596782078776671098
absolute error = 2e-31
relative error = 1.3872001974004209587899847218625e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.401
y[1] (analytic) = 1.4413831432263413125637903905943
y[1] (numeric) = 1.4413831432263413125637903905941
absolute error = 2e-31
relative error = 1.3875561188562746545192197027396e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=965.1MB, alloc=4.4MB, time=83.26
x[1] = 0.402
y[1] (analytic) = 1.4410128433138238285909648400028
y[1] (numeric) = 1.4410128433138238285909648400025
absolute error = 3e-31
relative error = 2.0818690228333099544967205196407e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.403
y[1] (analytic) = 1.4406420671786669611488680448045
y[1] (numeric) = 1.4406420671786669611488680448043
absolute error = 2e-31
relative error = 1.3882698871321810693812061086188e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.404
y[1] (analytic) = 1.4402708150434429811544390018629
y[1] (numeric) = 1.4402708150434429811544390018626
absolute error = 3e-31
relative error = 2.0829416028328747376598993672702e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.405
y[1] (analytic) = 1.4398990871306738071294386205938
y[1] (numeric) = 1.4398990871306738071294386205936
absolute error = 2e-31
relative error = 1.3889862267955559039077790860040e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.406
y[1] (analytic) = 1.4395268836628310128760126837284
y[1] (numeric) = 1.4395268836628310128760126837282
absolute error = 2e-31
relative error = 1.3893453624923368701997441964118e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.407
y[1] (analytic) = 1.4391542048623358351513669106394
y[1] (numeric) = 1.4391542048623358351513669106391
absolute error = 3e-31
relative error = 2.0845577144298924498057986314674e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=968.9MB, alloc=4.4MB, time=83.63
TOP MAIN SOLVE Loop
x[1] = 0.408
y[1] (analytic) = 1.4387810509515591813415542062026
y[1] (numeric) = 1.4387810509515591813415542062023
absolute error = 3e-31
relative error = 2.0850983532316508602766678718939e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.409
y[1] (analytic) = 1.4384074221528216371343741781564
y[1] (numeric) = 1.4384074221528216371343741781561
absolute error = 3e-31
relative error = 2.0856399611105935232515830302986e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.41
y[1] (analytic) = 1.4380333186883934741913850059127
y[1] (numeric) = 1.4380333186883934741913850059124
absolute error = 3e-31
relative error = 2.0861825390361960682718119881898e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.411
y[1] (analytic) = 1.4376587407804946578190277437709
y[1] (numeric) = 1.4376587407804946578190277437706
absolute error = 3e-31
relative error = 2.0867260879806020140770970784505e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.412
y[1] (analytic) = 1.4372836886512948546388631414766
y[1] (numeric) = 1.4372836886512948546388631414763
absolute error = 3e-31
relative error = 2.0872706089186280336971101828767e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=972.7MB, alloc=4.4MB, time=84.01
x[1] = 0.413
y[1] (analytic) = 1.4369081625229134402569210650616
y[1] (numeric) = 1.4369081625229134402569210650613
absolute error = 3e-31
relative error = 2.0878161028277692384953781918743e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.414
y[1] (analytic) = 1.4365321626174195069321626008953
y[1] (numeric) = 1.436532162617419506932162600895
absolute error = 3e-31
relative error = 2.0883625706882044812235155676736e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.415
y[1] (analytic) = 1.4361556891568318712440549258705
y[1] (numeric) = 1.4361556891568318712440549258703
absolute error = 2e-31
relative error = 1.3926066756552011187625718054509e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.416
y[1] (analytic) = 1.4357787423631190817592590266406
y[1] (numeric) = 1.4357787423631190817592590266404
absolute error = 2e-31
relative error = 1.3929722881314154335192312221372e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.417
y[1] (analytic) = 1.4354013224581994266974303508182
y[1] (numeric) = 1.435401322458199426697430350818
absolute error = 2e-31
relative error = 1.3933385518796206558971874761338e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.418
y[1] (analytic) = 1.4350234296639409415961324730392
y[1] (numeric) = 1.4350234296639409415961324730389
absolute error = 3e-31
relative error = 2.0905582013406924099357987479646e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=976.5MB, alloc=4.4MB, time=84.39
x[1] = 0.419
y[1] (analytic) = 1.4346450642021614169748638587895
y[1] (numeric) = 1.4346450642021614169748638587892
absolute error = 3e-31
relative error = 2.0911095537545852034962271407109e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.42
y[1] (analytic) = 1.4342662262946284059981978088856
y[1] (numeric) = 1.4342662262946284059981978088854
absolute error = 2e-31
relative error = 1.3944412573716687344504635507274e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.421
y[1] (analytic) = 1.4338869161630592321380356674927
y[1] (numeric) = 1.4338869161630592321380356674925
absolute error = 2e-31
relative error = 1.3948101328323741610611094639834e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.422
y[1] (analytic) = 1.4335071340291209968349733765576
y[1] (numeric) = 1.4335071340291209968349733765574
absolute error = 2e-31
relative error = 1.3951796628864010783868661875227e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.423
y[1] (analytic) = 1.4331268801144305871587814595296
y[1] (numeric) = 1.4331268801144305871587814595294
absolute error = 2e-31
relative error = 1.3955498482034657053259157920205e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=980.4MB, alloc=4.4MB, time=84.75
x[1] = 0.424
y[1] (analytic) = 1.4327461546405546834679985172322
y[1] (numeric) = 1.432746154640554683467998517232
absolute error = 2e-31
relative error = 1.3959206894551094810474375845357e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.425
y[1] (analytic) = 1.4323649578290097670686383187446
y[1] (numeric) = 1.4323649578290097670686383187444
absolute error = 2e-31
relative error = 1.3962921873147027423643391854251e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.426
y[1] (analytic) = 1.431983289901262127872010570145
y[1] (numeric) = 1.4319832899012621278720105701448
absolute error = 2e-31
relative error = 1.3966643424574484142557878450267e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.427
y[1] (analytic) = 1.4316011510787278720516554439606
y[1] (numeric) = 1.4316011510787278720516554439604
absolute error = 2e-31
relative error = 1.3970371555603857135803834588917e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.428
y[1] (analytic) = 1.4312185415827729296993919521629
y[1] (numeric) = 1.4312185415827729296993919521628
absolute error = 1e-31
relative error = 6.9870531365119693301049780467633e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.429
y[1] (analytic) = 1.4308354616347130624804802455413
y[1] (numeric) = 1.4308354616347130624804802455412
absolute error = 1e-31
relative error = 6.9889237918209791815123429683439e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=984.2MB, alloc=4.4MB, time=85.12
x[1] = 0.43
y[1] (analytic) = 1.4304519114558138712878979222795
y[1] (numeric) = 1.4304519114558138712878979222794
absolute error = 1e-31
relative error = 6.9907977471418103586179039946853e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.431
y[1] (analytic) = 1.4300678912672908038957304285555
y[1] (numeric) = 1.4300678912672908038957304285553
absolute error = 2e-31
relative error = 1.3985350011793142590448279554823e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.432
y[1] (analytic) = 1.429683401290309162611675633976
y[1] (numeric) = 1.4296834012903091626116756339758
absolute error = 2e-31
relative error = 1.3989111143033290947737837476428e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.433
y[1] (analytic) = 1.4292984417459841119286626646538
y[1] (numeric) = 1.4292984417459841119286626646537
absolute error = 1e-31
relative error = 6.9964394474427103444498799393247e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.434
y[1] (analytic) = 1.4289130128553806861755850767261
y[1] (numeric) = 1.428913012855380686175585076726
absolute error = 1e-31
relative error = 6.9983266371247563102570103548162e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=988.0MB, alloc=4.4MB, time=85.49
x[1] = 0.435
y[1] (analytic) = 1.4285271148395137971671484531068
y[1] (numeric) = 1.4285271148395137971671484531067
absolute error = 1e-31
relative error = 7.0002171440221057816249686222598e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.436
y[1] (analytic) = 1.4281407479193482418528325062615
y[1] (numeric) = 1.4281407479193482418528325062614
absolute error = 1e-31
relative error = 7.0021109716034322974176408109815e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.437
y[1] (analytic) = 1.4277539123157987099649677697833
y[1] (numeric) = 1.4277539123157987099649677697833
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.438
y[1] (analytic) = 1.4273666082497297916659269615448
y[1] (numeric) = 1.4273666082497297916659269615447
absolute error = 1e-31
relative error = 7.0059086027395814658201103611850e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.439
y[1] (analytic) = 1.4269788359419559851944311011914
y[1] (numeric) = 1.4269788359419559851944311011913
absolute error = 1e-31
relative error = 7.0078124132786798860911748028420e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.44
y[1] (analytic) = 1.4265905956132417045109704647401
y[1] (numeric) = 1.4265905956132417045109704647399
absolute error = 2e-31
relative error = 1.4019439116940691214664509919612e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=991.8MB, alloc=4.4MB, time=85.86
x[1] = 0.441
y[1] (analytic) = 1.4262018874843012869423404590338
y[1] (numeric) = 1.4262018874843012869423404590336
absolute error = 2e-31
relative error = 1.4023260083660594044885050255267e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.442
y[1] (analytic) = 1.4258127117757990008252924988026
y[1] (numeric) = 1.4258127117757990008252924988024
absolute error = 2e-31
relative error = 1.4027087733767439636505319253473e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.443
y[1] (analytic) = 1.4254230687083490531492999690712
y[1] (numeric) = 1.4254230687083490531492999690709
absolute error = 3e-31
relative error = 2.1046383111495859733592083271015e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.444
y[1] (analytic) = 1.4250329585025155971984393556472
y[1] (numeric) = 1.425032958502515597198439355647
absolute error = 2e-31
relative error = 1.4034763112438352905108327758058e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.445
y[1] (analytic) = 1.4246423813788127401923866264207
y[1] (numeric) = 1.4246423813788127401923866264205
absolute error = 2e-31
relative error = 1.4038610855198189806939198093482e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.446
y[1] (analytic) = 1.4242513375577045509265289461933
y[1] (numeric) = 1.424251337557704550926528946193
absolute error = 3e-31
relative error = 2.1063697964604880539984350593989e-29 %
Correct digits = 30
h = 0.001
memory used=995.6MB, alloc=4.4MB, time=86.22
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.447
y[1] (analytic) = 1.4238598272596050674111918077552
y[1] (numeric) = 1.423859827259605067411191807755
absolute error = 2e-31
relative error = 1.4046326483199179736706953381276e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.448
y[1] (analytic) = 1.4234678507048783045099816619181
y[1] (numeric) = 1.4234678507048783045099816619179
absolute error = 2e-31
relative error = 1.4050194382750775021333263948806e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.449
y[1] (analytic) = 1.4230754081138382615772441292046
y[1] (numeric) = 1.4230754081138382615772441292043
absolute error = 3e-31
relative error = 2.1081103523363087884075381308023e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.45
y[1] (analytic) = 1.4226824997067489300946378758921
y[1] (numeric) = 1.4226824997067489300946378758919
absolute error = 2e-31
relative error = 1.4057950388876301628940031936943e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.451
y[1] (analytic) = 1.4222891257038243013068242371001
y[1] (numeric) = 1.4222891257038243013068242371
absolute error = 1e-31
relative error = 7.0309192549380339021073096189400e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=999.4MB, alloc=4.4MB, time=86.59
x[1] = 0.452
y[1] (analytic) = 1.4218952863252283738562726696022
y[1] (numeric) = 1.421895286325228373856272669602
absolute error = 2e-31
relative error = 1.4065733385816587061837257569528e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.453
y[1] (analytic) = 1.4215009817910751614171821170401
y[1] (numeric) = 1.42150098179107516141718211704
absolute error = 1e-31
relative error = 7.0348175119795647901634098782751e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.454
y[1] (analytic) = 1.4211062123214287003285183702111
y[1] (numeric) = 1.421106212321428700328518370211
absolute error = 1e-31
relative error = 7.0367717157921899316026901897127e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.455
y[1] (analytic) = 1.4207109781363030572261675050888
y[1] (numeric) = 1.4207109781363030572261675050887
absolute error = 1e-31
relative error = 7.0387293079962388214421795349500e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.456
y[1] (analytic) = 1.420315279455662336674205481237
y[1] (numeric) = 1.4203152794556623366742054812369
absolute error = 1e-31
relative error = 7.0406902922515294645600115366200e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.457
y[1] (analytic) = 1.4199191164994206887952839832659
y[1] (numeric) = 1.4199191164994206887952839832658
absolute error = 1e-31
relative error = 7.0426546722276486012522580775263e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1003.2MB, alloc=4.4MB, time=86.96
x[1] = 0.458
y[1] (analytic) = 1.4195224894874423169001325879743
y[1] (numeric) = 1.4195224894874423169001325879742
absolute error = 1e-31
relative error = 7.0446224516039723767303186073175e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.459
y[1] (analytic) = 1.4191253986395414851161773398159
y[1] (numeric) = 1.4191253986395414851161773398158
absolute error = 1e-31
relative error = 7.0465936340696870836053286010570e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.46
y[1] (analytic) = 1.4187278441754825260152758173194
y[1] (numeric) = 1.4187278441754825260152758173194
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.461
y[1] (analytic) = 1.4183298263149798482405687730886
y[1] (numeric) = 1.4183298263149798482405687730887
absolute error = 1e-31
relative error = 7.0505462230752101666954967882319e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.462
y[1] (analytic) = 1.4179313452776979441324484299987
y[1] (numeric) = 1.4179313452776979441324484299987
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1007.1MB, alloc=4.4MB, time=87.33
x[1] = 0.463
y[1] (analytic) = 1.4175324012832513973536435162003
y[1] (numeric) = 1.4175324012832513973536435162003
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.464
y[1] (analytic) = 1.4171329945512048905134211215382
y[1] (numeric) = 1.4171329945512048905134211215383
absolute error = 1e-31
relative error = 7.0565007225499841067273598287578e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.465
y[1] (analytic) = 1.416733125301073212790905457981
y[1] (numeric) = 1.416733125301073212790905457981
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.466
y[1] (analytic) = 1.4163327937523212675575136066535
y[1] (numeric) = 1.4163327937523212675575136066536
absolute error = 1e-31
relative error = 7.0604875097940665185584918610004e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.467
y[1] (analytic) = 1.4159320001243640799985083340603
y[1] (numeric) = 1.4159320001243640799985083340604
absolute error = 1e-31
relative error = 7.0624860509697361312328915005016e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.468
y[1] (analytic) = 1.4155307446365668047336680600752
y[1] (numeric) = 1.4155307446365668047336680600753
absolute error = 1e-31
relative error = 7.0644880288823888860552284743199e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1010.9MB, alloc=4.4MB, time=87.70
x[1] = 0.469
y[1] (analytic) = 1.4151290275082447334370740602732
y[1] (numeric) = 1.4151290275082447334370740602733
absolute error = 1e-31
relative error = 7.0664934473204696136388257216260e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.47
y[1] (analytic) = 1.4147268489586633024560149851678
y[1] (numeric) = 1.4147268489586633024560149851679
absolute error = 1e-31
relative error = 7.0685023100824663447670514170739e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.471
y[1] (analytic) = 1.4143242092070381004290087789152
y[1] (numeric) = 1.4143242092070381004290087789154
absolute error = 2e-31
relative error = 1.4141029241953863894890599333472e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.472
y[1] (analytic) = 1.413921108472534875902942080038
y[1] (numeric) = 1.4139211084725348759029420800381
absolute error = 1e-31
relative error = 7.0725303838225058400929147772255e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.473
y[1] (analytic) = 1.4135175469742695449493271867132
y[1] (numeric) = 1.4135175469742695449493271867134
absolute error = 2e-31
relative error = 1.4149099204895871562250287130751e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1014.7MB, alloc=4.4MB, time=88.07
x[1] = 0.474
y[1] (analytic) = 1.4131135249313081987796766691689
y[1] (numeric) = 1.4131135249313081987796766691691
absolute error = 2e-31
relative error = 1.4153144561384199470352605722927e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.475
y[1] (analytic) = 1.4127090425626671113599957117173
y[1] (numeric) = 1.4127090425626671113599957117176
absolute error = 3e-31
relative error = 2.1235795267212083448649370753128e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.476
y[1] (analytic) = 1.4123041000873127470243922669572
y[1] (numeric) = 1.4123041000873127470243922669574
absolute error = 2e-31
relative error = 1.4161256062885848615630023782844e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.477
y[1] (analytic) = 1.4118986977241617680878051046616
y[1] (numeric) = 1.4118986977241617680878051046618
absolute error = 2e-31
relative error = 1.4165322223356379521611503910301e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.478
y[1] (analytic) = 1.4114928356920810424578498378687
y[1] (numeric) = 1.4114928356920810424578498378689
absolute error = 2e-31
relative error = 1.4169395333978886337217927841184e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.479
y[1] (analytic) = 1.4110865142098876512457830086804
y[1] (numeric) = 1.4110865142098876512457830086807
absolute error = 3e-31
relative error = 2.1260213103799632661402273726356e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1018.5MB, alloc=4.4MB, time=88.44
x[1] = 0.48
y[1] (analytic) = 1.4106797334963488963765843162729
y[1] (numeric) = 1.4106797334963488963765843162731
absolute error = 2e-31
relative error = 1.4177562436819231265708314498774e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.481
y[1] (analytic) = 1.41027249377018230819815706961
y[1] (numeric) = 1.4102724937701823081981570696102
absolute error = 2e-31
relative error = 1.4181656444658131118622002947060e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.482
y[1] (analytic) = 1.4098647952500556530896469473526
y[1] (numeric) = 1.4098647952500556530896469473528
absolute error = 2e-31
relative error = 1.4185757433891220157956364009077e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.483
y[1] (analytic) = 1.4094566381545869410688791474414
y[1] (numeric) = 1.4094566381545869410688791474416
absolute error = 2e-31
relative error = 1.4189865412380591528152421951969e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.484
y[1] (analytic) = 1.4090480227023444333989140088304
y[1] (numeric) = 1.4090480227023444333989140088306
absolute error = 2e-31
relative error = 1.4193980388009044653205219088219e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.485
y[1] (analytic) = 1.4086389491118466501937211878401
y[1] (numeric) = 1.4086389491118466501937211878403
absolute error = 2e-31
relative error = 1.4198102368680130689014186278144e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1022.3MB, alloc=4.4MB, time=88.81
TOP MAIN SOLVE Loop
x[1] = 0.486
y[1] (analytic) = 1.4082294176015623780229724715918
y[1] (numeric) = 1.408229417601562378022972471592
absolute error = 2e-31
relative error = 1.4202231362318198135220054688426e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.487
y[1] (analytic) = 1.4078194283899106775159533109796
y[1] (numeric) = 1.4078194283899106775159533109798
absolute error = 2e-31
relative error = 1.4206367376868438607060259064489e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.488
y[1] (analytic) = 1.4074089816952608909645931556291
y[1] (numeric) = 1.4074089816952608909645931556293
absolute error = 2e-31
relative error = 1.4210510420296932767777129432849e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.489
y[1] (analytic) = 1.4069980777359326499256146732859
y[1] (numeric) = 1.406998077735932649925614673286
absolute error = 1e-31
relative error = 7.1073302502953482110577626547081e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.49
y[1] (analytic) = 1.4065867167301958828218019360697
y[1] (numeric) = 1.4065867167301958828218019360699
absolute error = 2e-31
relative error = 1.4218817625757726771448934207294e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1026.1MB, alloc=4.4MB, time=89.18
x[1] = 0.491
y[1] (analytic) = 1.4061748988962708225423876560263
y[1] (numeric) = 1.4061748988962708225423876560264
absolute error = 1e-31
relative error = 7.1114909019135244155377172847440e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.492
y[1] (analytic) = 1.4057626244523280140425595523962
y[1] (numeric) = 1.4057626244523280140425595523963
absolute error = 1e-31
relative error = 7.1135765214243810051136561275438e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.493
y[1] (analytic) = 1.4053498936164883219420859330229
y[1] (numeric) = 1.4053498936164883219420859330229
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.494
y[1] (analytic) = 1.4049367066068229381230605723061
y[1] (numeric) = 1.4049367066068229381230605723062
absolute error = 1e-31
relative error = 7.1177583680277059785662876505272e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.495
y[1] (analytic) = 1.4045230636413533893267669681077
y[1] (numeric) = 1.4045230636413533893267669681078
absolute error = 1e-31
relative error = 7.1198546032231705110199646236564e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.496
y[1] (analytic) = 1.4041089649380515447496620600051
y[1] (numeric) = 1.4041089649380515447496620600051
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1030.0MB, alloc=4.4MB, time=89.55
x[1] = 0.497
y[1] (analytic) = 1.4036944107148396236384794912854
y[1] (numeric) = 1.4036944107148396236384794912855
absolute error = 1e-31
relative error = 7.1240577177388925145557321945506e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.498
y[1] (analytic) = 1.4032794011895902028844524970643
y[1] (numeric) = 1.4032794011895902028844524970644
absolute error = 1e-31
relative error = 7.1261646052260044588990567527051e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.499
y[1] (analytic) = 1.4028639365801262246166565009068
y[1] (numeric) = 1.4028639365801262246166565009068
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.5
y[1] (analytic) = 1.4024480171042210037944715023227
y[1] (numeric) = 1.4024480171042210037944715023228
absolute error = 1e-31
relative error = 7.1303890611560996592725704174037e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.501
y[1] (analytic) = 1.4020316429795982357991643375026
y[1] (numeric) = 1.4020316429795982357991643375028
absolute error = 2e-31
relative error = 1.4265013275660449153765508001106e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used
Radius of convergence = 36.08
Order of pole = 0.1222
TOP MAIN SOLVE Loop
memory used=1033.8MB, alloc=4.4MB, time=89.92
x[1] = 0.502
y[1] (analytic) = 1.4016148144239320040245908956512
y[1] (numeric) = 1.4016148144239320040245908956513
absolute error = 1e-31
relative error = 7.1346277858157704551698543682378e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.503
y[1] (analytic) = 1.4011975316548467874670183732711
y[1] (numeric) = 1.4011975316548467874670183732712
absolute error = 1e-31
relative error = 7.1367525092552568495547918160716e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.504
y[1] (analytic) = 1.4007797948899174683140676487446
y[1] (numeric) = 1.4007797948899174683140676487448
absolute error = 2e-31
relative error = 1.4277761624604052877879113480134e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.505
y[1] (analytic) = 1.4003616043466693395327758595504
y[1] (numeric) = 1.4003616043466693395327758595505
absolute error = 1e-31
relative error = 7.1410126991202693986465592548731e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.506
y[1] (analytic) = 1.3999429602425781124567792644485
y[1] (numeric) = 1.3999429602425781124567792644485
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.507
y[1] (analytic) = 1.3995238627950699243726164729612
y[1] (numeric) = 1.3995238627950699243726164729613
absolute error = 1e-31
relative error = 7.1452872407823204473883983347161e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1037.6MB, alloc=4.4MB, time=90.30
x[1] = 0.508
y[1] (analytic) = 1.3991043122215213461051521244694
y[1] (numeric) = 1.3991043122215213461051521244695
absolute error = 1e-31
relative error = 7.1474299040089669214540419575144e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.509
y[1] (analytic) = 1.3986843087392593896021210992365
y[1] (numeric) = 1.3986843087392593896021210992366
absolute error = 1e-31
relative error = 7.1495761677728128814457237746008e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.51
y[1] (analytic) = 1.3982638525655615155177933436685
y[1] (numeric) = 1.3982638525655615155177933436686
absolute error = 1e-31
relative error = 7.1517260362926545742857873424180e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.511
y[1] (analytic) = 1.3978429439176556407957593921105
y[1] (numeric) = 1.3978429439176556407957593921106
absolute error = 1e-31
relative error = 7.1538795137982837822931157808380e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.512
y[1] (analytic) = 1.3974215830127201462508366674728
y[1] (numeric) = 1.3974215830127201462508366674728
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1041.4MB, alloc=4.4MB, time=90.68
x[1] = 0.513
y[1] (analytic) = 1.3969997700678838841500966429751
y[1] (numeric) = 1.3969997700678838841500966429752
absolute error = 1e-31
relative error = 7.1581973127411994941834122886936e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.514
y[1] (analytic) = 1.3965775053002261857930129472907
y[1] (numeric) = 1.3965775053002261857930129472908
absolute error = 1e-31
relative error = 7.1603616426932724618929088319097e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.515
y[1] (analytic) = 1.3961547889267768690907304953623
y[1] (numeric) = 1.3961547889267768690907304953625
absolute error = 2e-31
relative error = 1.4325059197321512525276671341697e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.516
y[1] (analytic) = 1.395731621164516246144455727162
y[1] (numeric) = 1.3957316211645162461444557271621
absolute error = 1e-31
relative error = 7.1647011849287967491773122635021e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.517
y[1] (analytic) = 1.3953080022303751308229680366528
y[1] (numeric) = 1.395308002230375130822968036653
absolute error = 2e-31
relative error = 1.4333752811587372965446859837838e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.518
y[1] (analytic) = 1.3948839323412348463392524732114
y[1] (numeric) = 1.3948839323412348463392524732116
absolute error = 2e-31
relative error = 1.4338110531125780475415266762123e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1045.2MB, alloc=4.4MB, time=91.06
x[1] = 0.519
y[1] (analytic) = 1.3944594117139272328262537977566
y[1] (numeric) = 1.3944594117139272328262537977568
absolute error = 2e-31
relative error = 1.4342475537110141191418814798556e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.52
y[1] (analytic) = 1.3940344405652346549117519758292
y[1] (numeric) = 1.3940344405652346549117519758295
absolute error = 3e-31
relative error = 2.1520271757300340886596187358027e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.521
y[1] (analytic) = 1.3936090191118900092923591898581
y[1] (numeric) = 1.3936090191118900092923591898583
absolute error = 2e-31
relative error = 1.4351227443078309346128885630317e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.522
y[1] (analytic) = 1.3931831475705767323066384528404
y[1] (numeric) = 1.3931831475705767323066384528407
absolute error = 3e-31
relative error = 2.1533421540673812573718246304709e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.523
y[1] (analytic) = 1.3927568261579288075073439056623
y[1] (numeric) = 1.3927568261579288075073439056626
absolute error = 3e-31
relative error = 2.1540012898560521181202619071265e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.524
y[1] (analytic) = 1.3923300550905307732327828802727
y[1] (numeric) = 1.3923300550905307732327828802731
absolute error = 4e-31
relative error = 2.8728820335203607797569464037197e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1049.0MB, alloc=4.4MB, time=91.43
TOP MAIN SOLVE Loop
x[1] = 0.525
y[1] (analytic) = 1.3919028345849177301772998109242
y[1] (numeric) = 1.3919028345849177301772998109246
absolute error = 4e-31
relative error = 2.8737638149812723150727462517106e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.526
y[1] (analytic) = 1.3914751648575753489608820756805
y[1] (numeric) = 1.3914751648575753489608820756808
absolute error = 3e-31
relative error = 2.1559852994624344976515663437778e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.527
y[1] (analytic) = 1.3910470461249398776978878503913
y[1] (numeric) = 1.3910470461249398776978878503917
absolute error = 4e-31
relative error = 2.8755317881899527142715765178019e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.528
y[1] (analytic) = 1.3906184786033981495648960573237
y[1] (numeric) = 1.390618478603398149564896057324
absolute error = 3e-31
relative error = 2.1573134876022271822203011072121e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.529
y[1] (analytic) = 1.3901894625092875903676784906329
y[1] (numeric) = 1.3901894625092875903676784906332
absolute error = 3e-31
relative error = 2.1579792401713428847079428122871e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1052.8MB, alloc=4.4MB, time=91.80
x[1] = 0.53
y[1] (analytic) = 1.3897599980588962261072942008533
y[1] (numeric) = 1.3897599980588962261072942008536
absolute error = 3e-31
relative error = 2.1586461001828776850418458988393e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.531
y[1] (analytic) = 1.3893300854684626905453062205783
y[1] (numeric) = 1.3893300854684626905453062205786
absolute error = 3e-31
relative error = 2.1593140689733512259733517196328e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.532
y[1] (analytic) = 1.388899724954176232768120713495
y[1] (numeric) = 1.3888997249541762327681207134953
absolute error = 3e-31
relative error = 2.1599831478827447856204023595516e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.533
y[1] (analytic) = 1.3884689167321767247504486289324
y[1] (numeric) = 1.3884689167321767247504486289326
absolute error = 2e-31
relative error = 1.4404355588363395600259348971946e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.534
y[1] (analytic) = 1.388037661018554668917889944074
y[1] (numeric) = 1.3880376610185546689178899440741
absolute error = 1e-31
relative error = 7.2044154714519121799104309586595e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.535
y[1] (analytic) = 1.3876059580293512057086405759815
y[1] (numeric) = 1.3876059580293512057086405759817
absolute error = 2e-31
relative error = 1.4413313725175682665892096102580e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1056.7MB, alloc=4.4MB, time=92.17
x[1] = 0.536
y[1] (analytic) = 1.3871738079805581211343220455683
y[1] (numeric) = 1.3871738079805581211343220455684
absolute error = 1e-31
relative error = 7.2089019721025143511765066432232e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.537
y[1] (analytic) = 1.3867412110881178543399339756538
y[1] (numeric) = 1.386741211088117854339933975654
absolute error = 2e-31
relative error = 1.4422301609041268859765577462600e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.538
y[1] (analytic) = 1.386308167567923505162929505228
y[1] (numeric) = 1.3863081675679235051629295052281
absolute error = 1e-31
relative error = 7.2134033643786062158775650996333e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.539
y[1] (analytic) = 1.3858746776358188416914137020418
y[1] (numeric) = 1.3858746776358188416914137020419
absolute error = 1e-31
relative error = 7.2156596562245632512843971982420e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.54
y[1] (analytic) = 1.3854407415075983078214650556406
y[1] (numeric) = 1.3854407415075983078214650556407
absolute error = 1e-31
relative error = 7.2179196846183955132415581974630e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1060.5MB, alloc=4.4MB, time=92.54
x[1] = 0.541
y[1] (analytic) = 1.3850063593990070308135801329442
y[1] (numeric) = 1.3850063593990070308135801329442
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.542
y[1] (analytic) = 1.3845715315257408288482414784756
y[1] (numeric) = 1.3845715315257408288482414784756
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) = 1.384136258103446218580608841332
y[1] (numeric) = 1.384136258103446218580608841332
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.544
y[1] (analytic) = 1.3837005393477204226943338109849
y[1] (numeric) = 1.3837005393477204226943338109849
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.545
y[1] (analytic) = 1.383264375474111377454497943991
y[1] (numeric) = 1.383264375474111377454497943991
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.546
y[1] (analytic) = 1.3828277666981177402596744636877
y[1] (numeric) = 1.3828277666981177402596744636876
absolute error = 1e-31
relative error = 7.2315585793289029647987589293329e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1064.3MB, alloc=4.4MB, time=92.91
x[1] = 0.547
y[1] (analytic) = 1.3823907132351888971931136149413
y[1] (numeric) = 1.3823907132351888971931136149414
absolute error = 1e-31
relative error = 7.2338448922281496818264748187132e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.548
y[1] (analytic) = 1.3819532153007249705730517560117
y[1] (numeric) = 1.3819532153007249705730517560117
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.549
y[1] (analytic) = 1.3815152731100768265021442695835
y[1] (numeric) = 1.3815152731100768265021442695835
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.55
y[1] (analytic) = 1.3810768868785460824160223750185
y[1] (numeric) = 1.3810768868785460824160223750185
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.551
y[1] (analytic) = 1.3806380568213851146309739238678
y[1] (numeric) = 1.3806380568213851146309739238678
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.552
y[1] (analytic) = 1.3801987831537970658907482606798
y[1] (numeric) = 1.3801987831537970658907482606799
absolute error = 1e-31
relative error = 7.2453331520476272002437407548100e-30 %
Correct digits = 31
h = 0.001
memory used=1068.1MB, alloc=4.4MB, time=93.28
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.553
y[1] (analytic) = 1.3797590660909358529124852311356
y[1] (numeric) = 1.3797590660909358529124852311357
absolute error = 1e-31
relative error = 7.2476421759137254164117846460940e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.554
y[1] (analytic) = 1.3793189058479061739317684195312
y[1] (numeric) = 1.3793189058479061739317684195313
absolute error = 1e-31
relative error = 7.2499550014162376709914443048899e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.555
y[1] (analytic) = 1.3788783026397635162468026976267
y[1] (numeric) = 1.3788783026397635162468026976268
absolute error = 1e-31
relative error = 7.2522716332947715055903418764132e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.556
y[1] (analytic) = 1.3784372566815141637617161668696
y[1] (numeric) = 1.3784372566815141637617161668697
absolute error = 1e-31
relative error = 7.2545920763011448579762219206965e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.557
y[1] (analytic) = 1.3779957681881152045289865759976
y[1] (numeric) = 1.3779957681881152045289865759978
absolute error = 2e-31
relative error = 1.4513832670398830570797831780349e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1071.9MB, alloc=4.5MB, time=93.64
x[1] = 0.558
y[1] (analytic) = 1.377553837374474538290992296017
y[1] (numeric) = 1.3775538373744745382909922960172
absolute error = 2e-31
relative error = 1.4518488829531818580298537603827e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.559
y[1] (analytic) = 1.3771114644554508840206879345476
y[1] (numeric) = 1.3771114644554508840206879345477
absolute error = 1e-31
relative error = 7.2615763197892517477207579053208e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.56
y[1] (analytic) = 1.3766686496458537874614046715186
y[1] (numeric) = 1.3766686496458537874614046715188
absolute error = 2e-31
relative error = 1.4527824110140790875882333831092e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.561
y[1] (analytic) = 1.3762253931604436286657753981937
y[1] (numeric) = 1.3762253931604436286657753981939
absolute error = 2e-31
relative error = 1.4532503250845301358886641793452e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.562
y[1] (analytic) = 1.375781695213931629533784741495
y[1] (numeric) = 1.3757816952139316295337847414951
absolute error = 1e-31
relative error = 7.2685950356717150678455361801889e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.563
y[1] (analytic) = 1.3753375560209798613499440555926
y[1] (numeric) = 1.3753375560209798613499440555928
absolute error = 2e-31
relative error = 1.4541884581311406636028193666747e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1075.7MB, alloc=4.5MB, time=94.02
x[1] = 0.564
y[1] (analytic) = 1.3748929757962012523195914627178
y[1] (numeric) = 1.374892975796201252319591462718
absolute error = 2e-31
relative error = 1.4546586790450354421563468397092e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.565
y[1] (analytic) = 1.3744479547541595951043170251509
y[1] (numeric) = 1.374447954754159595104317025151
absolute error = 1e-31
relative error = 7.2756483542431756444977589395670e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.566
y[1] (analytic) = 1.37400249310936955435651313033
y[1] (numeric) = 1.3740024931093695543565131303302
absolute error = 2e-31
relative error = 1.4556014345170489583574351826855e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.567
y[1] (analytic) = 1.3735565910762966742530501710209
y[1] (numeric) = 1.3735565910762966742530501710211
absolute error = 2e-31
relative error = 1.4560739710278936723795602129538e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.568
y[1] (analytic) = 1.3731102488693573860280776024785
y[1] (numeric) = 1.3731102488693573860280776024786
absolute error = 1e-31
relative error = 7.2827364068064979690160964701036e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1079.5MB, alloc=4.5MB, time=94.39
x[1] = 0.569
y[1] (analytic) = 1.3726634667029190155049504585274
y[1] (numeric) = 1.3726634667029190155049504585275
absolute error = 1e-31
relative error = 7.2851068324995836069341446781188e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.57
y[1] (analytic) = 1.3722162447912997906272814084825
y[1] (numeric) = 1.3722162447912997906272814084826
absolute error = 1e-31
relative error = 7.2874811371446042304518966478672e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.571
y[1] (analytic) = 1.3717685833487688489891184368202
y[1] (numeric) = 1.3717685833487688489891184368203
absolute error = 1e-31
relative error = 7.2898593256800984439005489224988e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.572
y[1] (analytic) = 1.3713204825895462453642482275097
y[1] (numeric) = 1.3713204825895462453642482275097
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.573
y[1] (analytic) = 1.3708719427278029592346253349034
y[1] (numeric) = 1.3708719427278029592346253349035
absolute error = 1e-31
relative error = 7.2946273742401451896621555944703e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.574
y[1] (analytic) = 1.3704229639776609023179272230817
y[1] (numeric) = 1.3704229639776609023179272230818
absolute error = 1e-31
relative error = 7.2970172442053508824638119799182e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1083.4MB, alloc=4.5MB, time=94.76
x[1] = 0.575
y[1] (analytic) = 1.3699735465531929260942352555379
y[1] (numeric) = 1.369973546553192926094235255538
absolute error = 1e-31
relative error = 7.2994110179423986192941744188850e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.576
y[1] (analytic) = 1.3695236906684228293318417170864
y[1] (numeric) = 1.3695236906684228293318417170866
absolute error = 2e-31
relative error = 1.4603617400907178712918727944248e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.577
y[1] (analytic) = 1.3690733965373253656121829498684
y[1] (numeric) = 1.3690733965373253656121829498685
absolute error = 1e-31
relative error = 7.3042102967540701023076106586735e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.578
y[1] (analytic) = 1.3686226643738262508538986853214
y[1] (numeric) = 1.3686226643738262508538986853216
absolute error = 2e-31
relative error = 1.4613231623743730733101648320521e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.579
y[1] (analytic) = 1.3681714943918021708360176539784
y[1] (numeric) = 1.3681714943918021708360176539786
absolute error = 2e-31
relative error = 1.4618050501695817439714207173089e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1087.2MB, alloc=4.5MB, time=95.13
x[1] = 0.58
y[1] (analytic) = 1.3677198868050807887202695549477
y[1] (numeric) = 1.367719886805080788720269554948
absolute error = 3e-31
relative error = 2.1934315856208223392347728794648e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.581
y[1] (analytic) = 1.3672678418274407525725234669262
y[1] (numeric) = 1.3672678418274407525725234669264
absolute error = 2e-31
relative error = 1.4627711841206418827558855691372e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.582
y[1] (analytic) = 1.3668153596726117028833527825852
y[1] (numeric) = 1.3668153596726117028833527825855
absolute error = 3e-31
relative error = 2.1948831484587494366056401097354e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.583
y[1] (analytic) = 1.3663624405542742800877267481692
y[1] (numeric) = 1.3663624405542742800877267481694
absolute error = 2e-31
relative error = 1.4637404693213656437538116004231e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.584
y[1] (analytic) = 1.3659090846860601320838286901314
y[1] (numeric) = 1.3659090846860601320838286901316
absolute error = 2e-31
relative error = 1.4642262961884311722143504249894e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.585
y[1] (analytic) = 1.3654552922815519217510010106362
y[1] (numeric) = 1.3654552922815519217510010106364
absolute error = 2e-31
relative error = 1.4647129139308409258918915944381e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1091.0MB, alloc=4.5MB, time=95.50
x[1] = 0.586
y[1] (analytic) = 1.365001063554283334466817033739
y[1] (numeric) = 1.3650010635542833344668170337392
absolute error = 2e-31
relative error = 1.4652003235750329074923009726555e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.587
y[1] (analytic) = 1.3645463987177390856232797840585
y[1] (numeric) = 1.3645463987177390856232797840586
absolute error = 1e-31
relative error = 7.3284426307503911546454804015345e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.588
y[1] (analytic) = 1.3640912979853549281421477797421
y[1] (numeric) = 1.3640912979853549281421477797423
absolute error = 2e-31
relative error = 1.4661775226876876353888513255335e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.589
y[1] (analytic) = 1.3636357615705176599893879215249
y[1] (numeric) = 1.3636357615705176599893879215251
absolute error = 2e-31
relative error = 1.4666673142222180222706991933748e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.59
y[1] (analytic) = 1.3631797896865651316887555596704
y[1] (numeric) = 1.3631797896865651316887555596705
absolute error = 1e-31
relative error = 7.3357895089533950754198137750458e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1094.8MB, alloc=4.5MB, time=95.86
x[1] = 0.591
y[1] (analytic) = 1.3627233825467862538345018205794
y[1] (numeric) = 1.3627233825467862538345018205796
absolute error = 2e-31
relative error = 1.4676492864327395423883338105021e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.592
y[1] (analytic) = 1.3622665403644210046032082748463
y[1] (numeric) = 1.3622665403644210046032082748464
absolute error = 1e-31
relative error = 7.3407073459536722193069588408513e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.593
y[1] (analytic) = 1.3618092633526604372647490285306
y[1] (numeric) = 1.3618092633526604372647490285307
absolute error = 1e-31
relative error = 7.3431722555483554978932050005393e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.594
y[1] (analytic) = 1.3613515517246466876923803194142
y[1] (numeric) = 1.3613515517246466876923803194144
absolute error = 2e-31
relative error = 1.4691282332372360825916289071197e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.595
y[1] (analytic) = 1.3608934056934729818719576999995
y[1] (numeric) = 1.3608934056934729818719576999997
absolute error = 2e-31
relative error = 1.4696228166238018348900932876190e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.596
y[1] (analytic) = 1.360434825472183643410280889002
y[1] (numeric) = 1.3604348254721836434102808890022
absolute error = 2e-31
relative error = 1.4701182023224333668344758443217e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1098.6MB, alloc=4.5MB, time=96.24
x[1] = 0.597
y[1] (analytic) = 1.3599758112737741010425663730844
y[1] (numeric) = 1.3599758112737741010425663730846
absolute error = 2e-31
relative error = 1.4706143913888949801455287902765e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.598
y[1] (analytic) = 1.3595163633111908961390478405706
y[1] (numeric) = 1.3595163633111908961390478405708
absolute error = 2e-31
relative error = 1.4711113848816570145381335424019e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.599
y[1] (analytic) = 1.3590564817973316902107045288734
y[1] (numeric) = 1.3590564817973316902107045288736
absolute error = 2e-31
relative error = 1.4716091838619026180868444268388e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.6
y[1] (analytic) = 1.3585961669450452724141175673624
y[1] (numeric) = 1.3585961669450452724141175673626
absolute error = 2e-31
relative error = 1.4721077893935345414110661766963e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.601
y[1] (analytic) = 1.3581354189671315670554543973934
y[1] (numeric) = 1.3581354189671315670554543973935
absolute error = 1e-31
relative error = 7.3630360127159097788408589493746e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.602
y[1] (analytic) = 1.3576742380763416410935813512109
y[1] (numeric) = 1.3576742380763416410935813512112
absolute error = 3e-31
relative error = 2.2096611365703109427149005650311e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1102.4MB, alloc=4.5MB, time=96.61
TOP MAIN SOLVE Loop
x[1] = 0.603
y[1] (analytic) = 1.3572126244853777116423044714355
y[1] (numeric) = 1.3572126244853777116423044714358
absolute error = 3e-31
relative error = 2.2104126839650696836370644621798e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.604
y[1] (analytic) = 1.3567505784068931534717386528316
y[1] (numeric) = 1.3567505784068931534717386528319
absolute error = 3e-31
relative error = 2.2111654476113235296323419300440e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.605
y[1] (analytic) = 1.3562881000534925065088051880551
y[1] (numeric) = 1.3562881000534925065088051880554
absolute error = 3e-31
relative error = 2.2119194291254777547193348709274e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.606
y[1] (analytic) = 1.3558251896377314833368577990666
y[1] (numeric) = 1.3558251896377314833368577990669
absolute error = 3e-31
relative error = 2.2126746301280789421788703988356e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.607
y[1] (analytic) = 1.3553618473721169766944372358929
y[1] (numeric) = 1.3553618473721169766944372358932
absolute error = 3e-31
relative error = 2.2134310522438254296805808823064e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1106.2MB, alloc=4.5MB, time=96.97
x[1] = 0.608
y[1] (analytic) = 1.3548980734691070669731545244116
y[1] (numeric) = 1.3548980734691070669731545244119
absolute error = 3e-31
relative error = 2.2141886971015777912155672465162e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.609
y[1] (analytic) = 1.3544338681411110297147029448283
y[1] (numeric) = 1.3544338681411110297147029448287
absolute error = 4e-31
relative error = 2.9532634217791591412966467392099e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.61
y[1] (analytic) = 1.3539692316004893431069988225092
y[1] (numeric) = 1.3539692316004893431069988225096
absolute error = 4e-31
relative error = 2.9542768821058890190600218290797e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.611
y[1] (analytic) = 1.3535041640595536954794512128236
y[1] (numeric) = 1.3535041640595536954794512128238
absolute error = 2e-31
relative error = 1.4776459896520870405728779792728e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.612
y[1] (analytic) = 1.3530386657305669927973605616478
y[1] (numeric) = 1.3530386657305669927973605616481
absolute error = 3e-31
relative error = 2.2172315366761258252106580370895e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.613
y[1] (analytic) = 1.3525727368257433661554464231743
y[1] (numeric) = 1.3525727368257433661554464231746
absolute error = 3e-31
relative error = 2.2179953198232328397991143234006e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1110.1MB, alloc=4.5MB, time=97.34
x[1] = 0.614
y[1] (analytic) = 1.3521063775572481792705043166593
y[1] (numeric) = 1.3521063775572481792705043166596
absolute error = 3e-31
relative error = 2.2187603355735077956547864220479e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.615
y[1] (analytic) = 1.3516395881371980359731918037438
y[1] (numeric) = 1.3516395881371980359731918037442
absolute error = 4e-31
relative error = 2.9593687807803247144582452410411e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.616
y[1] (analytic) = 1.3511723687776607876989438679691
y[1] (numeric) = 1.3511723687776607876989438679695
absolute error = 4e-31
relative error = 2.9603920953613071157947177300072e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.617
y[1] (analytic) = 1.3507047196906555409780176781051
y[1] (numeric) = 1.3507047196906555409780176781055
absolute error = 4e-31
relative error = 2.9614170600633556373326126219760e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.618
y[1] (analytic) = 1.3502366410881526649246668169033
y[1] (numeric) = 1.3502366410881526649246668169036
absolute error = 3e-31
relative error = 2.2218327578359203491499989018969e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1113.9MB, alloc=4.5MB, time=97.71
x[1] = 0.619
y[1] (analytic) = 1.3497681331820737987254450568779
y[1] (numeric) = 1.3497681331820737987254450568783
absolute error = 4e-31
relative error = 2.9634719487487184622064443164160e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.62
y[1] (analytic) = 1.3492991961842918591266397647154
y[1] (numeric) = 1.3492991961842918591266397647159
absolute error = 5e-31
relative error = 3.7056273465066846798015628174642e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.621
y[1] (analytic) = 1.3488298303066310479208350159023
y[1] (numeric) = 1.3488298303066310479208350159027
absolute error = 4e-31
relative error = 2.9655334647297023124597020165094e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.622
y[1] (analytic) = 1.3483600357608668594326045011569
y[1] (numeric) = 1.3483600357608668594326045011574
absolute error = 5e-31
relative error = 3.7082083919659834227311652089334e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.623
y[1] (analytic) = 1.3478898127587260880033343062469
y[1] (numeric) = 1.3478898127587260880033343062474
absolute error = 5e-31
relative error = 3.7095020324892136171506587767451e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.624
y[1] (analytic) = 1.3474191615118868354751756467614
y[1] (numeric) = 1.3474191615118868354751756467619
absolute error = 5e-31
relative error = 3.7107977553100059261707173386716e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1117.7MB, alloc=4.5MB, time=98.08
x[1] = 0.625
y[1] (analytic) = 1.3469480822319785186741276394065
y[1] (numeric) = 1.3469480822319785186741276394069
absolute error = 4e-31
relative error = 2.9696764506110331697594052889255e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.626
y[1] (analytic) = 1.3464765751305818768922501913828
y[1] (numeric) = 1.3464765751305818768922501913833
absolute error = 5e-31
relative error = 3.7133954591932636119535792012151e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.627
y[1] (analytic) = 1.3460046404192289793690070894002
y[1] (numeric) = 1.3460046404192289793690070894007
absolute error = 5e-31
relative error = 3.7146974459483967165747632677489e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.628
y[1] (analytic) = 1.3455322783094032327717393698735
y[1] (numeric) = 1.345532278309403232771739369874
absolute error = 5e-31
relative error = 3.7160015263864648178669035451227e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.629
y[1] (analytic) = 1.3450594890125393886752690518433
y[1] (numeric) = 1.3450594890125393886752690518438
absolute error = 5e-31
relative error = 3.7173077033720604709118898882620e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1121.5MB, alloc=4.5MB, time=98.45
x[1] = 0.63
y[1] (analytic) = 1.3445862727400235510406333141538
y[1] (numeric) = 1.3445862727400235510406333141543
absolute error = 5e-31
relative error = 3.7186159797771136233115553455709e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.631
y[1] (analytic) = 1.3441126297031931836929491984159
y[1] (numeric) = 1.3441126297031931836929491984163
absolute error = 4e-31
relative error = 2.9759410867847284490481426579192e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.632
y[1] (analytic) = 1.3436385601133371177984089192773
y[1] (numeric) = 1.3436385601133371177984089192778
absolute error = 5e-31
relative error = 3.7212388423701129230514816959611e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.633
y[1] (analytic) = 1.3431640641816955593404058635152
y[1] (numeric) = 1.3431640641816955593404058635156
absolute error = 4e-31
relative error = 2.9780427474710214233803486519871e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.634
y[1] (analytic) = 1.342689142119460096594791359457
y[1] (numeric) = 1.3426891421194600965947913594574
absolute error = 4e-31
relative error = 2.9790961098306974250890737572768e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.635
y[1] (analytic) = 1.3422137941377737076042622982359
y[1] (numeric) = 1.3422137941377737076042622982362
absolute error = 3e-31
relative error = 2.2351133724766802268149102711632e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1125.3MB, alloc=4.5MB, time=98.82
x[1] = 0.636
y[1] (analytic) = 1.3417380204477307676518796883727
y[1] (numeric) = 1.3417380204477307676518796883731
absolute error = 4e-31
relative error = 2.9812079102187336793421940510352e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.637
y[1] (analytic) = 1.3412618212603770567337182251763
y[1] (numeric) = 1.3412618212603770567337182251767
absolute error = 4e-31
relative error = 2.9822663529192383271684049099185e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.638
y[1] (analytic) = 1.3407851967867097670306469564431
y[1] (numeric) = 1.3407851967867097670306469564435
absolute error = 4e-31
relative error = 2.9833264937488077017271293464796e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.639
y[1] (analytic) = 1.3403081472376775103792411259341
y[1] (numeric) = 1.3403081472376775103792411259345
absolute error = 4e-31
relative error = 2.9843883350585035356936067202000e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.64
y[1] (analytic) = 1.3398306728241803257418252760985
y[1] (numeric) = 1.3398306728241803257418252760989
absolute error = 4e-31
relative error = 2.9854518792054114862881266797137e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.641
y[1] (analytic) = 1.339352773757069686675647691507
y[1] (numeric) = 1.3393527737570696866756476915075
memory used=1129.1MB, alloc=4.5MB, time=99.19
absolute error = 5e-31
relative error = 3.7331464106908210481929403609944e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.642
y[1] (analytic) = 1.3388744502471485088011862644542
y[1] (numeric) = 1.3388744502471485088011862644546
absolute error = 4e-31
relative error = 2.9875840854694202644303780454105e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.643
y[1] (analytic) = 1.3383957025051711572695858641774
y[1] (numeric) = 1.3383957025051711572695858641778
absolute error = 4e-31
relative error = 2.9886527523309536378263408147904e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.644
y[1] (analytic) = 1.3379165307418434542292272911403
y[1] (numeric) = 1.3379165307418434542292272911408
absolute error = 5e-31
relative error = 3.7371539143982448824042319116332e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.645
y[1] (analytic) = 1.3374369351678226862914278978166
y[1] (numeric) = 1.337436935167822686291427897817
absolute error = 4e-31
relative error = 2.9907952254197890169097762836084e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.646
y[1] (analytic) = 1.3369569159937176119952739574052
y[1] (numeric) = 1.3369569159937176119952739574057
absolute error = 5e-31
relative error = 3.7398362955351173804636715014681e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1133.0MB, alloc=4.5MB, time=99.56
x[1] = 0.647
y[1] (analytic) = 1.3364764734300884692715848619056
y[1] (numeric) = 1.3364764734300884692715848619061
absolute error = 5e-31
relative error = 3.7411807086790081606890077455185e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.648
y[1] (analytic) = 1.3359956076874469829060092309668
y[1] (numeric) = 1.3359956076874469829060092309674
absolute error = 6e-31
relative error = 4.4910327290564609620591327999273e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.649
y[1] (analytic) = 1.3355143189762563720012530129274
y[1] (numeric) = 1.335514318976256372001253012928
absolute error = 6e-31
relative error = 4.4926511941851159131472088734333e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.65
y[1] (analytic) = 1.335032607506931357438439659449
y[1] (numeric) = 1.3350326075069313574384396594495
absolute error = 5e-31
relative error = 3.7452268745233928631549384562796e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.651
y[1] (analytic) = 1.3345504734898381693376024551448
y[1] (numeric) = 1.3345504734898381693376024551454
absolute error = 6e-31
relative error = 4.4958958984219239668911115669869e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.652
y[1] (analytic) = 1.334067917135294554517309083596
y[1] (numeric) = 1.3340679171352945545173090835966
absolute error = 6e-31
relative error = 4.4975221448125940839830927518203e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1136.8MB, alloc=4.5MB, time=99.93
x[1] = 0.653
y[1] (analytic) = 1.3335849386535697839534185111415
y[1] (numeric) = 1.3335849386535697839534185111421
absolute error = 6e-31
relative error = 4.4991509922553510858697638273584e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.654
y[1] (analytic) = 1.3331015382548846602369702698234
y[1] (numeric) = 1.333101538254884660236970269824
absolute error = 6e-31
relative error = 4.5007824444148376609665298980099e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.655
y[1] (analytic) = 1.3326177161494115250312062208604
y[1] (numeric) = 1.332617716149411525031206220861
absolute error = 6e-31
relative error = 4.5024165049650946435920650282516e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.656
y[1] (analytic) = 1.3321334725472742665277248800178
y[1] (numeric) = 1.3321334725472742665277248800185
absolute error = 7e-31
relative error = 5.2547287071878501683437838715871e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.657
y[1] (analytic) = 1.3316488076585483269017683862351
y[1] (numeric) = 1.3316488076585483269017683862358
absolute error = 7e-31
relative error = 5.2566412103114268969765412158592e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1140.6MB, alloc=4.5MB, time=100.30
x[1] = 0.658
y[1] (analytic) = 1.3311637216932607097666421948649
y[1] (numeric) = 1.3311637216932607097666421948656
absolute error = 7e-31
relative error = 5.2585567694827894138802032030873e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.659
y[1] (analytic) = 1.3306782148613899876272675768731
y[1] (numeric) = 1.3306782148613899876272675768738
absolute error = 7e-31
relative error = 5.2604753890324675968038183750803e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.66
y[1] (analytic) = 1.3301922873728663093328670053409
y[1] (numeric) = 1.3301922873728663093328670053417
absolute error = 8e-31
relative error = 6.0141680837738306197949942453269e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.661
y[1] (analytic) = 1.3297059394375714075287825106056
y[1] (numeric) = 1.3297059394375714075287825106063
absolute error = 7e-31
relative error = 5.2643218266444723224107423084776e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.662
y[1] (analytic) = 1.3292191712653386061074270853668
y[1] (numeric) = 1.3292191712653386061074270853676
absolute error = 8e-31
relative error = 6.0185710324840332531452394732727e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.663
y[1] (analytic) = 1.3287319830659528276583692210851
y[1] (numeric) = 1.3287319830659528276583692210859
absolute error = 8e-31
relative error = 6.0207777805879100907195870739894e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1144.4MB, alloc=4.5MB, time=100.67
x[1] = 0.664
y[1] (analytic) = 1.3282443750491506009175506569841
y[1] (numeric) = 1.3282443750491506009175506569849
absolute error = 8e-31
relative error = 6.0229880512040312747148614855149e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.665
y[1] (analytic) = 1.3277563474246200682156374229707
y[1] (numeric) = 1.3277563474246200682156374229715
absolute error = 8e-31
relative error = 6.0252018493582681248613963001340e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.666
y[1] (analytic) = 1.327267900402000992925504257774
y[1] (numeric) = 1.3272679004020009929255042577747
absolute error = 7e-31
relative error = 5.2739917825782195642059945602196e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.667
y[1] (analytic) = 1.326779034190884766908852483601
y[1] (numeric) = 1.3267790341908847669088524836018
absolute error = 8e-31
relative error = 6.0296400484491176884300299953975e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.668
y[1] (analytic) = 1.3262897490008144179619614186011
y[1] (numeric) = 1.3262897490008144179619614186019
absolute error = 8e-31
relative error = 6.0318644595021201066676304150315e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1148.2MB, alloc=4.5MB, time=101.04
x[1] = 0.669
y[1] (analytic) = 1.3258000450412846172605734084207
y[1] (numeric) = 1.3258000450412846172605734084215
absolute error = 8e-31
relative error = 6.0340924183260868753360765605301e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.67
y[1] (analytic) = 1.325309922521741686803912558129
y[1] (numeric) = 1.3253099225217416868039125581298
absolute error = 8e-31
relative error = 6.0363239300117442044328480977806e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.671
y[1] (analytic) = 1.324819381651583606857837245785
y[1] (numeric) = 1.3248193816515836068578372457857
absolute error = 7e-31
relative error = 5.2837391247050319257284653154582e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.672
y[1] (analytic) = 1.3243284226401600233971264989105
y[1] (numeric) = 1.3243284226401600233971264989113
absolute error = 8e-31
relative error = 6.0407976323964470848665242001830e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.673
y[1] (analytic) = 1.32383704569677225554690031513
y[1] (numeric) = 1.3238370456967722555469003151307
absolute error = 7e-31
relative error = 5.2876598541746543411178919610498e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.674
y[1] (analytic) = 1.3233452510306733030231740082259
y[1] (numeric) = 1.3233452510306733030231740082266
absolute error = 7e-31
relative error = 5.2896249066886550019124301428157e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1152.0MB, alloc=4.5MB, time=101.41
x[1] = 0.675
y[1] (analytic) = 1.3228530388510678535725466608602
y[1] (numeric) = 1.3228530388510678535725466608608
absolute error = 6e-31
relative error = 4.5356512203435352819203530786706e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.676
y[1] (analytic) = 1.3223604093671122904110237651972
y[1] (numeric) = 1.3223604093671122904110237651979
absolute error = 7e-31
relative error = 5.2935644098345562651122571178980e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.677
y[1] (analytic) = 1.3218673627879146996619741326645
y[1] (numeric) = 1.3218673627879146996619741326653
absolute error = 8e-31
relative error = 6.0520444223143662402122690303317e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.678
y[1] (analytic) = 1.3213738993225348777932211540761
y[1] (numeric) = 1.3213738993225348777932211540768
absolute error = 7e-31
relative error = 5.2975164740191119602587744901340e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.679
y[1] (analytic) = 1.3208800191799843390532684913393
y[1] (numeric) = 1.32088001917998433905326849134
absolute error = 7e-31
relative error = 5.2994972278751485104615416236621e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1155.8MB, alloc=4.5MB, time=101.78
x[1] = 0.68
y[1] (analytic) = 1.3203857225692263229066602819605
y[1] (numeric) = 1.3203857225692263229066602819611
absolute error = 6e-31
relative error = 4.5441266877114591176501561301054e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.681
y[1] (analytic) = 1.3198910096991758014684759375544
y[1] (numeric) = 1.3198910096991758014684759375551
absolute error = 7e-31
relative error = 5.3034682019657150110400094364250e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.682
y[1] (analytic) = 1.319395880778699486937959617562
y[1] (numeric) = 1.3193958807786994869379596175627
absolute error = 7e-31
relative error = 5.3054584313759129227513614586915e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.683
y[1] (analytic) = 1.318900336016615839031284459368
y[1] (numeric) = 1.3189003360166158390312844593686
absolute error = 6e-31
relative error = 4.5492444244281476071515183691182e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.684
y[1] (analytic) = 1.318404375621695072413451646009
y[1] (numeric) = 1.3184043756216950724134516460096
absolute error = 6e-31
relative error = 4.5509557696747579612830363816044e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.685
y[1] (analytic) = 1.3179079998026591641293243926538
y[1] (numeric) = 1.3179079998026591641293243926544
absolute error = 6e-31
relative error = 4.5526698380299897043496598393600e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1159.7MB, alloc=4.5MB, time=102.15
x[1] = 0.686
y[1] (analytic) = 1.3174112087681818610337969330308
y[1] (numeric) = 1.3174112087681818610337969330314
absolute error = 6e-31
relative error = 4.5543866334720015529365593917298e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.687
y[1] (analytic) = 1.3169140027268886872210985869722
y[1] (numeric) = 1.3169140027268886872210985869728
absolute error = 6e-31
relative error = 4.5561061599891911351440671275619e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.688
y[1] (analytic) = 1.3164163818873569514532329902383
y[1] (numeric) = 1.3164163818873569514532329902389
absolute error = 6e-31
relative error = 4.5578284215802228509185291310975e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.689
y[1] (analytic) = 1.3159183464581157545875525677779
y[1] (numeric) = 1.3159183464581157545875525677785
absolute error = 6e-31
relative error = 4.5595534222540558328699108443016e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.69
y[1] (analytic) = 1.3154198966476459970034683315745
y[1] (numeric) = 1.3154198966476459970034683315752
absolute error = 7e-31
relative error = 5.3214946937016340093041582772634e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.691
y[1] (analytic) = 1.3149210326643803860282950842239
y[1] (numeric) = 1.3149210326643803860282950842244
absolute error = 5e-31
relative error = 3.8025097141146702171390573820036e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1163.5MB, alloc=4.5MB, time=102.52
TOP MAIN SOLVE Loop
x[1] = 0.692
y[1] (analytic) = 1.3144217547167034433622321093766
y[1] (numeric) = 1.3144217547167034433622321093772
absolute error = 6e-31
relative error = 4.5647448990169646970133430344185e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.693
y[1] (analytic) = 1.3139220630129515125024794301823
y[1] (numeric) = 1.3139220630129515125024794301829
absolute error = 6e-31
relative error = 4.5664808963184730124887154910623e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.694
y[1] (analytic) = 1.3134219577614127661664897168537
y[1] (numeric) = 1.3134219577614127661664897168542
absolute error = 5e-31
relative error = 3.8068497107524874668711262042816e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.695
y[1] (analytic) = 1.3129214391703272137143559244729
y[1] (numeric) = 1.3129214391703272137143559244734
absolute error = 5e-31
relative error = 3.8083009773681841031611174425180e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.696
y[1] (analytic) = 1.3124205074478867085703347421512
y[1] (numeric) = 1.3124205074478867085703347421517
absolute error = 5e-31
relative error = 3.8097545501806621603320672897045e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1167.3MB, alloc=4.5MB, time=102.88
x[1] = 0.697
y[1] (analytic) = 1.3119191628022349556435059346461
y[1] (numeric) = 1.3119191628022349556435059346467
absolute error = 6e-31
relative error = 4.5734525191202417403107436203426e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.698
y[1] (analytic) = 1.3114174054414675187475676575362
y[1] (numeric) = 1.3114174054414675187475676575367
absolute error = 5e-31
relative error = 3.8126686280458742584477860775021e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.699
y[1] (analytic) = 1.3109152355736318280197678270452
y[1] (numeric) = 1.3109152355736318280197678270456
absolute error = 4e-31
relative error = 3.0513033119564556005176387177627e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.7
y[1] (analytic) = 1.310412653406727187338971625603
y[1] (numeric) = 1.3104126534067271873389716256035
absolute error = 5e-31
relative error = 3.8155919717360169669413661401471e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.701
y[1] (analytic) = 1.3099096591487047817428652242227
y[1] (numeric) = 1.3099096591487047817428652242232
absolute error = 5e-31
relative error = 3.8170571268628116536774215645186e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.702
y[1] (analytic) = 1.309406253007467684844295802766
y[1] (numeric) = 1.3094062530074676848442958027666
absolute error = 6e-31
relative error = 4.5822295305365258202885088213901e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1171.1MB, alloc=4.5MB, time=103.26
x[1] = 0.703
y[1] (analytic) = 1.3089024351908708662467479491668
y[1] (numeric) = 1.3089024351908708662467479491673
absolute error = 5e-31
relative error = 3.8199944209522953143677901855689e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.704
y[1] (analytic) = 1.3083982059067211989589565186703
y[1] (numeric) = 1.3083982059067211989589565186709
absolute error = 6e-31
relative error = 4.5857598802208646436260257446173e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.705
y[1] (analytic) = 1.3078935653627774668086560341457
y[1] (numeric) = 1.3078935653627774668086560341463
absolute error = 6e-31
relative error = 4.5875292599484177110125352701862e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.706
y[1] (analytic) = 1.3073885137667503718554667085169
y[1] (numeric) = 1.3073885137667503718554667085175
absolute error = 6e-31
relative error = 4.5893014485137605058606187470566e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.707
y[1] (analytic) = 1.306883051326302541802917170355
y[1] (numeric) = 1.3068830513263025418029171703555
absolute error = 5e-31
relative error = 3.8258970417633796909623764485174e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1174.9MB, alloc=4.5MB, time=103.62
x[1] = 0.708
y[1] (analytic) = 1.3063771782490485374096039736669
y[1] (numeric) = 1.3063771782490485374096039736675
absolute error = 6e-31
relative error = 4.5928542689653113044345707001013e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.709
y[1] (analytic) = 1.3058708947425548598994879729103
y[1] (numeric) = 1.3058708947425548598994879729108
absolute error = 5e-31
relative error = 3.8288624244020095288790102663003e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.71
y[1] (analytic) = 1.3053642010143399583713276442537
y[1] (numeric) = 1.3053642010143399583713276442542
absolute error = 5e-31
relative error = 3.8303486460826214735970869513056e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.711
y[1] (analytic) = 1.3048570972718742372072494341028
y[1] (numeric) = 1.3048570972718742372072494341033
absolute error = 5e-31
relative error = 3.8318372260485334794218560614079e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.712
y[1] (analytic) = 1.3043495837225800634804552158987
y[1] (numeric) = 1.3043495837225800634804552158992
absolute error = 5e-31
relative error = 3.8333281678444891940732976885165e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.713
y[1] (analytic) = 1.3038416605738317743620669361928
y[1] (numeric) = 1.3038416605738317743620669361934
absolute error = 6e-31
relative error = 4.6017857700292757222913020017878e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1178.7MB, alloc=4.5MB, time=103.99
x[1] = 0.714
y[1] (analytic) = 1.3033333280329556845271085309961
y[1] (numeric) = 1.3033333280329556845271085309967
absolute error = 6e-31
relative error = 4.6035805813816232363428554507445e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.715
y[1] (analytic) = 1.3028245863072300935596251933915
y[1] (numeric) = 1.3028245863072300935596251933919
absolute error = 4e-31
relative error = 3.0702521598381365990596127489830e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.716
y[1] (analytic) = 1.3023154356038852933569400733943
y[1] (numeric) = 1.3023154356038852933569400733949
absolute error = 6e-31
relative error = 4.6071787494538851943639754438159e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.717
y[1] (analytic) = 1.301805876130103575533048491041
y[1] (numeric) = 1.3018058761301035755330484910416
absolute error = 6e-31
relative error = 4.6089821147806487142474430649585e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.718
y[1] (analytic) = 1.301295908093019238821149743672
y[1] (numeric) = 1.3012959080930192388211497436725
absolute error = 5e-31
relative error = 3.8423236167146926753178356808970e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1182.5MB, alloc=4.5MB, time=104.36
x[1] = 0.719
y[1] (analytic) = 1.3007855316997185964753165883793
y[1] (numeric) = 1.3007855316997185964753165883798
absolute error = 5e-31
relative error = 3.8438311913467923050742931511074e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.72
y[1] (analytic) = 1.3002747471572399836713024805746
y[1] (numeric) = 1.3002747471572399836713024805752
absolute error = 6e-31
relative error = 4.6144093877987390792646235952308e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.721
y[1] (analytic) = 1.299763554672573764906486649631
y[1] (numeric) = 1.2997635546725737649064866496317
absolute error = 7e-31
relative error = 5.3855949221190350033227227069533e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.722
y[1] (analytic) = 1.2992519544526623413989570925437
y[1] (numeric) = 1.2992519544526623413989570925443
absolute error = 6e-31
relative error = 4.6180419274625053428522837235264e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.723
y[1] (analytic) = 1.2987399467044001584857315665493
y[1] (numeric) = 1.2987399467044001584857315665498
absolute error = 5e-31
relative error = 3.8498854314042482620049776160047e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.724
y[1] (analytic) = 1.2982275316346337130201166616379
y[1] (numeric) = 1.2982275316346337130201166616385
absolute error = 6e-31
relative error = 4.6216859940146518562818961067829e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1186.4MB, alloc=4.5MB, time=104.73
x[1] = 0.725
y[1] (analytic) = 1.2977147094501615607682050338842
y[1] (numeric) = 1.2977147094501615607682050338848
absolute error = 6e-31
relative error = 4.6235123608502402043811368045379e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.726
y[1] (analytic) = 1.2972014803577343238045108805162
y[1] (numeric) = 1.2972014803577343238045108805169
absolute error = 7e-31
relative error = 5.3962318930360630120869183035851e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.727
y[1] (analytic) = 1.2966878445640546979067437376392
y[1] (numeric) = 1.2966878445640546979067437376399
absolute error = 7e-31
relative error = 5.3983694143083401735223670832560e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.728
y[1] (analytic) = 1.2961738022757774599497206815194
y[1] (numeric) = 1.29617380227577745994972068152
absolute error = 6e-31
relative error = 4.6290088485551906700708554031847e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.729
y[1] (analytic) = 1.2956593536995094752984170143299
y[1] (numeric) = 1.2956593536995094752984170143306
absolute error = 7e-31
relative error = 5.4026546252399043175663076613080e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.73
y[1] (analytic) = 1.2951444990418097052001555152551
y[1] (numeric) = 1.2951444990418097052001555152557
absolute error = 6e-31
relative error = 4.6326877073863158898919075874629e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1190.2MB, alloc=4.5MB, time=105.10
TOP MAIN SOLVE Loop
x[1] = 0.731
y[1] (analytic) = 1.2946292385091892141759343378386
y[1] (numeric) = 1.2946292385091892141759343378392
absolute error = 6e-31
relative error = 4.6345315102795064035215092072791e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.732
y[1] (analytic) = 1.2941135723081111774108936344614
y[1] (numeric) = 1.2941135723081111774108936344621
absolute error = 7e-31
relative error = 5.4091079405922445450417619414715e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.733
y[1] (analytic) = 1.2935975006449908881439209888226
y[1] (numeric) = 1.2935975006449908881439209888231
absolute error = 5e-31
relative error = 3.8651899045158851425125528448994e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.734
y[1] (analytic) = 1.2930810237261957650563957372925
y[1] (numeric) = 1.293081023726195765056395737293
absolute error = 5e-31
relative error = 3.8667337222162561628791307852825e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.735
y[1] (analytic) = 1.2925641417580453596600722600044
y[1] (numeric) = 1.2925641417580453596600722600048
absolute error = 4e-31
relative error = 3.0946239886861712385100925796859e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1194.0MB, alloc=4.5MB, time=105.46
x[1] = 0.736
y[1] (analytic) = 1.2920468549468113636841023225366
y[1] (numeric) = 1.2920468549468113636841023225372
absolute error = 6e-31
relative error = 4.6437944390546092800517390486073e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.737
y[1] (analytic) = 1.2915291634987176164611965490405
y[1] (numeric) = 1.2915291634987176164611965490411
absolute error = 6e-31
relative error = 4.6456558392736266791820149474871e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.738
y[1] (analytic) = 1.2910110676199401123129251076531
y[1] (numeric) = 1.2910110676199401123129251076537
absolute error = 6e-31
relative error = 4.6475201882361677791320462083462e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.739
y[1] (analytic) = 1.2904925675166070079341576890368
y[1] (numeric) = 1.2904925675166070079341576890374
absolute error = 6e-31
relative error = 4.6493874905039215462635571264443e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.74
y[1] (analytic) = 1.2899736633947986297766428588745
y[1] (numeric) = 1.289973663394798629776642858875
absolute error = 5e-31
relative error = 3.8760481255420340400296063887692e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.741
y[1] (analytic) = 1.2894543554605474814317268651452
y[1] (numeric) = 1.2894543554605474814317268651457
absolute error = 5e-31
relative error = 3.8776091443843135297155757543755e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1197.8MB, alloc=4.5MB, time=105.83
x[1] = 0.742
y[1] (analytic) = 1.2889346439198382510122119810002
y[1] (numeric) = 1.2889346439198382510122119810008
absolute error = 6e-31
relative error = 4.6550071629335098512034651008664e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.743
y[1] (analytic) = 1.2884145289786078185333544640504
y[1] (numeric) = 1.288414528978607818533354464051
absolute error = 6e-31
relative error = 4.6568863242767894596743320246032e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.744
y[1] (analytic) = 1.287894010842745263293002212871
y[1] (numeric) = 1.2878940108427452632930022128716
absolute error = 6e-31
relative error = 4.6587684619123626065661498212761e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.745
y[1] (analytic) = 1.2873730897180918712508722015234
y[1] (numeric) = 1.287373089718091871250872201524
absolute error = 6e-31
relative error = 4.6606535804736109014203785779164e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.746
y[1] (analytic) = 1.2868517658104411424069677728868
y[1] (numeric) = 1.2868517658104411424069677728874
absolute error = 6e-31
relative error = 4.6625416846059844279017000492214e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1201.6MB, alloc=4.5MB, time=106.20
x[1] = 0.747
y[1] (analytic) = 1.286330039325538798179135871587
y[1] (numeric) = 1.2863300393255387981791358715874
absolute error = 4e-31
relative error = 3.1096218526446908539453531314490e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.748
y[1] (analytic) = 1.2858079104690827887797642973007
y[1] (numeric) = 1.2858079104690827887797642973012
absolute error = 5e-31
relative error = 3.8886057235220476927578745252318e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.749
y[1] (analytic) = 1.2852853794467233005916190592135
y[1] (numeric) = 1.285285379446723300591619059214
absolute error = 5e-31
relative error = 3.8901866308884254321951110473145e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.75
y[1] (analytic) = 1.284762446464062763542821912393
y[1] (numeric) = 1.2847624464640627635428219123935
absolute error = 5e-31
relative error = 3.8917700418167223104849129815707e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.751
y[1] (analytic) = 1.2842391117266558584809681568443
y[1] (numeric) = 1.2842391117266558584809681568448
absolute error = 5e-31
relative error = 3.8933559602288658862904692698622e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.752
y[1] (analytic) = 1.2837153754400095245463847799991
y[1] (numeric) = 1.2837153754400095245463847799996
absolute error = 5e-31
relative error = 3.8949443900570150690891305503911e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1205.4MB, alloc=4.5MB, time=106.57
x[1] = 0.753
y[1] (analytic) = 1.2831912378095829665445290233877
y[1] (numeric) = 1.2831912378095829665445290233884
absolute error = 7e-31
relative error = 5.4551494693410253624316789256777e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.754
y[1] (analytic) = 1.2826666990407876623175274542377
y[1] (numeric) = 1.2826666990407876623175274542383
absolute error = 6e-31
relative error = 4.6777545596895591709870281264063e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.755
y[1] (analytic) = 1.2821417593389873701148556227313
y[1] (numeric) = 1.2821417593389873701148556227319
absolute error = 6e-31
relative error = 4.6796697450158091763166992021807e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.756
y[1] (analytic) = 1.281616418909498135963158385656
y[1] (numeric) = 1.2816164189094981359631583856566
absolute error = 6e-31
relative error = 4.6815879630391130603231450135766e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.757
y[1] (analytic) = 1.2810906779575883010352109771669
y[1] (numeric) = 1.2810906779575883010352109771675
absolute error = 6e-31
relative error = 4.6835092185399819005439145000760e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1209.3MB, alloc=4.5MB, time=106.94
x[1] = 0.758
y[1] (analytic) = 1.2805645366884785090180209073804
y[1] (numeric) = 1.280564536688478509018020907381
absolute error = 6e-31
relative error = 4.6854335163114182310815234330018e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.759
y[1] (analytic) = 1.2800379953073417134800707695079
y[1] (numeric) = 1.2800379953073417134800707695085
absolute error = 6e-31
relative error = 4.6873608611589521459728135230813e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.76
y[1] (analytic) = 1.2795110540193031852377020362348
y[1] (numeric) = 1.2795110540193031852377020362354
absolute error = 6e-31
relative error = 4.6892912579006775366359644044028e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.761
y[1] (analytic) = 1.2789837130294405197206399260415
y[1] (numeric) = 1.2789837130294405197206399260421
absolute error = 6e-31
relative error = 4.6912247113672884639548478745598e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.762
y[1] (analytic) = 1.2784559725427836443366594201581
y[1] (numeric) = 1.2784559725427836443366594201587
absolute error = 6e-31
relative error = 4.6931612264021156655631420622338e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.763
y[1] (analytic) = 1.2779278327643148258353925108376
y[1] (numeric) = 1.2779278327643148258353925108382
absolute error = 6e-31
relative error = 4.6951008078611631988933662826952e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1213.1MB, alloc=4.5MB, time=107.31
x[1] = 0.764
y[1] (analytic) = 1.2773992938989686776712767616265
y[1] (numeric) = 1.2773992938989686776712767616271
absolute error = 6e-31
relative error = 4.6970434606131452205587553184955e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.765
y[1] (analytic) = 1.2768703561516321673656452603042
y[1] (numeric) = 1.2768703561516321673656452603049
absolute error = 7e-31
relative error = 5.4821540544627767197451089536267e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.766
y[1] (analytic) = 1.2763410197271446238679580451586
y[1] (numeric) = 1.2763410197271446238679580451593
absolute error = 7e-31
relative error = 5.4844276661236317341811521105361e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.767
y[1] (analytic) = 1.2758112848302977449161750852549
y[1] (numeric) = 1.2758112848302977449161750852556
absolute error = 7e-31
relative error = 5.4867048780894787200375071139163e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.768
y[1] (analytic) = 1.2752811516658356043962708953539
y[1] (numeric) = 1.2752811516658356043962708953546
absolute error = 7e-31
relative error = 5.4889856961002302867994145128484e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.769
y[1] (analytic) = 1.274750620438454659700890866124
y[1] (numeric) = 1.2747506204384546597008908661246
absolute error = 6e-31
relative error = 4.7068029650664380988280286258447e-29 %
Correct digits = 30
h = 0.001
memory used=1216.9MB, alloc=4.5MB, time=107.69
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.77
y[1] (analytic) = 1.274219691352803759087149390288
y[1] (numeric) = 1.2742196913528037590871493902886
absolute error = 6e-31
relative error = 4.7087641485354587160762138117234e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.771
y[1] (analytic) = 1.2736883646134841490335698653405
y[1] (numeric) = 1.2736883646134841490335698653411
absolute error = 6e-31
relative error = 4.7107284377374140579386061910309e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.772
y[1] (analytic) = 1.2731566404250494815961666534606
y[1] (numeric) = 1.2731566404250494815961666534613
absolute error = 7e-31
relative error = 5.4981451439180462954166844112040e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.773
y[1] (analytic) = 1.2726245189920058217636690792443
y[1] (numeric) = 1.272624518992005821763669079245
absolute error = 7e-31
relative error = 5.5004440787801382367871378892024e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.774
y[1] (analytic) = 1.2720920005188116548118875458691
y[1] (numeric) = 1.2720920005188116548118875458698
absolute error = 7e-31
relative error = 5.5027466544441053808979820327225e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1220.7MB, alloc=4.5MB, time=108.07
x[1] = 0.775
y[1] (analytic) = 1.2715590852098778936572218503014
y[1] (numeric) = 1.2715590852098778936572218503021
absolute error = 7e-31
relative error = 5.5050528767561053584504088497105e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.776
y[1] (analytic) = 1.2710257732695678862093117781481
y[1] (numeric) = 1.2710257732695678862093117781488
absolute error = 7e-31
relative error = 5.5073627515776518124698273491494e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.777
y[1] (analytic) = 1.2704920649021974227228300587483
y[1] (numeric) = 1.270492064902197422722830058749
absolute error = 7e-31
relative error = 5.5096762847856594370897861827745e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.778
y[1] (analytic) = 1.2699579603120347431484177610953
y[1] (numeric) = 1.269957960312034743148417761096
absolute error = 7e-31
relative error = 5.5119934822724891850147158015946e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.779
y[1] (analytic) = 1.2694234597033005444827622111717
y[1] (numeric) = 1.2694234597033005444827622111725
absolute error = 8e-31
relative error = 6.3020735427954213078565534489533e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.78
y[1] (analytic) = 1.2688885632801679881178175112751
y[1] (numeric) = 1.2688885632801679881178175112757
absolute error = 6e-31
relative error = 4.7285476231967679305890896329823e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1224.5MB, alloc=4.5MB, time=108.44
x[1] = 0.781
y[1] (analytic) = 1.2683532712467627071891677419028
y[1] (numeric) = 1.2683532712467627071891677419035
absolute error = 7e-31
relative error = 5.5189671195621686796507942732111e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.782
y[1] (analytic) = 1.2678175838071628139235329267648
y[1] (numeric) = 1.2678175838071628139235329267654
absolute error = 6e-31
relative error = 4.7325420286272114741304034016221e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.783
y[1] (analytic) = 1.2672815011653989069854178414762
y[1] (numeric) = 1.2672815011653989069854178414768
absolute error = 6e-31
relative error = 4.7345439781787768721914282291495e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.784
y[1] (analytic) = 1.2667450235254540788229037464862
y[1] (numeric) = 1.2667450235254540788229037464869
absolute error = 7e-31
relative error = 5.5259739489786449700067717574100e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.785
y[1] (analytic) = 1.2662081510912639230125831247866
y[1] (numeric) = 1.2662081510912639230125831247872
absolute error = 6e-31
relative error = 4.7385573966089092586841025518493e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1228.3MB, alloc=4.5MB, time=108.80
x[1] = 0.786
y[1] (analytic) = 1.265670884066716541603637504937
y[1] (numeric) = 1.2656708840667165416036375049376
absolute error = 6e-31
relative error = 4.7405688757897709839183301214402e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.787
y[1] (analytic) = 1.265133222655652552461058449943
y[1] (numeric) = 1.2651332226556525524610584499438
absolute error = 8e-31
relative error = 6.3234447224515437848317258078467e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.788
y[1] (analytic) = 1.2645951670618650966080117925114
y[1] (numeric) = 1.264595167061865096608011792512
absolute error = 6e-31
relative error = 4.7446013999407248849830208616880e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.789
y[1] (analytic) = 1.2640567174890998455673451971994
y[1] (numeric) = 1.2640567174890998455673451972001
absolute error = 7e-31
relative error = 5.5377261978439365959559937332907e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.79
y[1] (analytic) = 1.263517874141055008702239129979
y[1] (numeric) = 1.2635178741410550087022391299796
absolute error = 6e-31
relative error = 4.7486467131134383909458844002576e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.791
y[1] (analytic) = 1.2629786372213813405560013157141
y[1] (numeric) = 1.2629786372213813405560013157148
absolute error = 7e-31
relative error = 5.5424532083934245348260416800231e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1232.1MB, alloc=4.5MB, time=109.18
x[1] = 0.792
y[1] (analytic) = 1.2624390069336821481910047640596
y[1] (numeric) = 1.2624390069336821481910047640602
absolute error = 6e-31
relative error = 4.7527048570633948863738033300676e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.793
y[1] (analytic) = 1.2618989834815132985267694442702
y[1] (numeric) = 1.2618989834815132985267694442708
absolute error = 6e-31
relative error = 4.7547387536887570810240250597497e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.794
y[1] (analytic) = 1.2613585670683832256771876894122
y[1] (numeric) = 1.2613585670683832256771876894129
absolute error = 7e-31
relative error = 5.5495718527279819677025540074925e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used
Radius of convergence = 3.179
Order of pole = 17.68
TOP MAIN SOLVE Loop
x[1] = 0.795
y[1] (analytic) = 1.260817757897752938286893410457
y[1] (numeric) = 1.2608177578977529382868934104577
absolute error = 7e-31
relative error = 5.5519522596759545365820497151803e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.796
y[1] (analytic) = 1.2602765561730360268667752007318
y[1] (numeric) = 1.2602765561730360268667752007325
absolute error = 7e-31
relative error = 5.5543364396591216845582865120250e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1236.0MB, alloc=4.5MB, time=109.55
x[1] = 0.797
y[1] (analytic) = 1.2597349620975986711286334111982
y[1] (numeric) = 1.259734962097598671128633411199
absolute error = 8e-31
relative error = 6.3505421701395912541546402732992e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.798
y[1] (analytic) = 1.2591929758747596473189812770206
y[1] (numeric) = 1.2591929758747596473189812770214
absolute error = 8e-31
relative error = 6.3532755926012141890291836344161e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.799
y[1] (analytic) = 1.2586505977077903355519901758794
y[1] (numeric) = 1.2586505977077903355519901758802
absolute error = 8e-31
relative error = 6.3560133483981298897078733963498e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.8
y[1] (analytic) = 1.2581078277999147271415790984816
y[1] (numeric) = 1.2581078277999147271415790984824
absolute error = 8e-31
relative error = 6.3587554446663003500412416447640e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.801
y[1] (analytic) = 1.2575646663543094319326484117105
y[1] (numeric) = 1.2575646663543094319326484117113
absolute error = 8e-31
relative error = 6.3615018885605838734861762459044e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.802
y[1] (analytic) = 1.2570211135741036856314579948526
y[1] (numeric) = 1.2570211135741036856314579948535
absolute error = 9e-31
relative error = 7.1597842731616405717854895937493e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1239.8MB, alloc=4.5MB, time=109.92
x[1] = 0.803
y[1] (analytic) = 1.2564771696623793571351498293331
y[1] (numeric) = 1.2564771696623793571351498293339
absolute error = 8e-31
relative error = 6.3670078479417443635268263048056e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used
Radius of convergence = 4.583
Order of pole = 5.25
TOP MAIN SOLVE Loop
x[1] = 0.804
y[1] (analytic) = 1.255932834822170955860415122383
y[1] (numeric) = 1.2559328348221709558604151223838
absolute error = 8e-31
relative error = 6.3697673778333294743357919865530e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.805
y[1] (analytic) = 1.2553881092564656390713060450589
y[1] (numeric) = 1.2553881092564656390713060450597
absolute error = 8e-31
relative error = 6.3725312841605581049086325893663e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.806
y[1] (analytic) = 1.2548429931682032192061921650246
y[1] (numeric) = 1.2548429931682032192061921650255
absolute error = 9e-31
relative error = 7.1722120209453254278542613780353e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.807
y[1] (analytic) = 1.254297486760276171203861654503
y[1] (numeric) = 1.2542974867602761712038616545038
absolute error = 8e-31
relative error = 6.3780722551419541362288082313652e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.808
y[1] (analytic) = 1.2537515902355296398287673537937
y[1] (numeric) = 1.2537515902355296398287673537945
absolute error = 8e-31
relative error = 6.3808493343542805433075513688808e-29 %
memory used=1243.6MB, alloc=4.5MB, time=110.29
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.809
y[1] (analytic) = 1.2532053037967614469954177707545
y[1] (numeric) = 1.2532053037967614469954177707553
absolute error = 8e-31
relative error = 6.3836308191186843960190719171601e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.81
y[1] (analytic) = 1.2526586276467220990919130966288
y[1] (numeric) = 1.2526586276467220990919130966296
absolute error = 8e-31
relative error = 6.3864167167626612890916272510476e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.811
y[1] (analytic) = 1.2521115619881147943026263186016
y[1] (numeric) = 1.2521115619881147943026263186024
absolute error = 8e-31
relative error = 6.3892070346331783492066518074694e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.812
y[1] (analytic) = 1.2515641070235954299300295094576
y[1] (numeric) = 1.2515641070235954299300295094583
absolute error = 7e-31
relative error = 5.5930015575846413464216305530596e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.813
y[1] (analytic) = 1.2510162629557726097156653747085
y[1] (numeric) = 1.2510162629557726097156653747094
absolute error = 9e-31
relative error = 7.1941510806068382242977014940754e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1247.4MB, alloc=4.5MB, time=110.66
x[1] = 0.814
y[1] (analytic) = 1.2504680299872076511602641375529
y[1] (numeric) = 1.2504680299872076511602641375537
absolute error = 8e-31
relative error = 6.3976045833669497248715131365559e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.815
y[1] (analytic) = 1.2499194083204145928430058420192
y[1] (numeric) = 1.2499194083204145928430058420201
absolute error = 9e-31
relative error = 7.2004642380053884105293284323095e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.816
y[1] (analytic) = 1.2493703981578602017399281546464
y[1] (numeric) = 1.2493703981578602017399281546473
absolute error = 9e-31
relative error = 7.2036283341354096800954632884198e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.817
y[1] (analytic) = 1.2488209997019639805414797450393
y[1] (numeric) = 1.2488209997019639805414797450401
absolute error = 8e-31
relative error = 6.4060421805120440094802930700522e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.818
y[1] (analytic) = 1.2482712131550981749692193256376
y[1] (numeric) = 1.2482712131550981749692193256385
absolute error = 9e-31
relative error = 7.2099716032478484807903380016780e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.819
y[1] (analytic) = 1.247721038719587781091660431028
y[1] (numeric) = 1.2477210387195877810916604310289
absolute error = 9e-31
relative error = 7.2131507930937883457552874961056e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1251.2MB, alloc=4.5MB, time=111.03
x[1] = 0.82
y[1] (analytic) = 1.2471704765977105526392620171209
y[1] (numeric) = 1.2471704765977105526392620171217
absolute error = 8e-31
relative error = 6.4145200276260979171639649627203e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.821
y[1] (analytic) = 1.2466195269916970083185649605106
y[1] (numeric) = 1.2466195269916970083185649605114
absolute error = 8e-31
relative error = 6.4173549561712290143020562816362e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.822
y[1] (analytic) = 1.2460681901037304391254745383292
y[1] (numeric) = 1.24606819010373043912547453833
absolute error = 8e-31
relative error = 6.4201943870616185274412562151977e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.823
y[1] (analytic) = 1.2455164661359469156576889688974
y[1] (numeric) = 1.2455164661359469156576889688983
absolute error = 9e-31
relative error = 7.2259181188678550307860042204871e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.824
y[1] (analytic) = 1.2449643552904352954262740934722
y[1] (numeric) = 1.2449643552904352954262740934731
absolute error = 9e-31
relative error = 7.2291226345194498616553392796240e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1255.0MB, alloc=4.5MB, time=111.39
x[1] = 0.825
y[1] (analytic) = 1.2444118577692372301663842793806
y[1] (numeric) = 1.2444118577692372301663842793813
absolute error = 7e-31
relative error = 5.6251472985385796374602238074533e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.826
y[1] (analytic) = 1.2438589737743471731471296248266
y[1] (numeric) = 1.2438589737743471731471296248274
absolute error = 8e-31
relative error = 6.4315972860853501457990916323500e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.827
y[1] (analytic) = 1.243305703507712386480589545651
y[1] (numeric) = 1.2433057035077123864805895456518
absolute error = 8e-31
relative error = 6.4344593428870850207227530455847e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.828
y[1] (analytic) = 1.2427520471712329484299728243137
y[1] (numeric) = 1.2427520471712329484299728243144
absolute error = 7e-31
relative error = 5.6326602043693941995990575373049e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.829
y[1] (analytic) = 1.2421980049667617607169242013675
y[1] (numeric) = 1.2421980049667617607169242013682
absolute error = 7e-31
relative error = 5.6351724700985196083635119794722e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.83
y[1] (analytic) = 1.2416435770961045558279775896833
y[1] (numeric) = 1.2416435770961045558279775896839
absolute error = 6e-31
relative error = 4.8323046248364666653485289905114e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1258.8MB, alloc=4.5MB, time=111.76
x[1] = 0.831
y[1] (analytic) = 1.2410887637610199043201559916781
y[1] (numeric) = 1.2410887637610199043201559916787
absolute error = 6e-31
relative error = 4.8344648466701781143657840406406e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.832
y[1] (analytic) = 1.2405335651632192221257181997966
y[1] (numeric) = 1.2405335651632192221257181997973
absolute error = 7e-31
relative error = 5.6427332533150745241874937489103e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.833
y[1] (analytic) = 1.2399779815043667778560523604842
y[1] (numeric) = 1.239977981504366777856052360485
absolute error = 8e-31
relative error = 6.4517274655911514984993882668495e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.834
y[1] (analytic) = 1.2394220129860797001047164818879
y[1] (numeric) = 1.2394220129860797001047164818887
absolute error = 8e-31
relative error = 6.4546215221125415555277522366402e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.835
y[1] (analytic) = 1.2388656598099279847496259655129
y[1] (numeric) = 1.2388656598099279847496259655137
absolute error = 8e-31
relative error = 6.4575201811852577093450490843815e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1262.7MB, alloc=4.5MB, time=112.13
x[1] = 0.836
y[1] (analytic) = 1.2383089221774345022543882420576
y[1] (numeric) = 1.2383089221774345022543882420583
absolute error = 7e-31
relative error = 5.6528705193298976594906536909259e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.837
y[1] (analytic) = 1.2377518002900750049687845916414
y[1] (numeric) = 1.2377518002900750049687845916421
absolute error = 7e-31
relative error = 5.6554149211170652215221410192913e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.838
y[1] (analytic) = 1.2371942943492781344283992286364
y[1] (numeric) = 1.2371942943492781344283992286371
absolute error = 7e-31
relative error = 5.6579633708072994953371561661782e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.839
y[1] (analytic) = 1.2366364045564254286533957313046
y[1] (numeric) = 1.2366364045564254286533957313053
absolute error = 7e-31
relative error = 5.6605158753278502285392444150819e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.84
y[1] (analytic) = 1.2360781311128513294464408964378
y[1] (numeric) = 1.2360781311128513294464408964385
absolute error = 7e-31
relative error = 5.6630724416245778125583263290966e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.841
y[1] (analytic) = 1.2355194742198431896897760991915
y[1] (numeric) = 1.2355194742198431896897760991922
absolute error = 7e-31
relative error = 5.6656330766620107137337794859155e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1266.5MB, alloc=4.5MB, time=112.50
x[1] = 0.842
y[1] (analytic) = 1.2349604340786412806414362382955
y[1] (numeric) = 1.2349604340786412806414362382963
absolute error = 8e-31
relative error = 6.4779403284838892876216800406722e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.843
y[1] (analytic) = 1.2344010108904387992306163468202
y[1] (numeric) = 1.234401010890438799230616346821
absolute error = 8e-31
relative error = 6.4808760924694775438162267082778e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.844
y[1] (analytic) = 1.2338412048563818753521859486687
y[1] (numeric) = 1.2338412048563818753521859486695
absolute error = 8e-31
relative error = 6.4838165304514964473600476387423e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.845
y[1] (analytic) = 1.2332810161775695791603512409619
y[1] (numeric) = 1.2332810161775695791603512409627
absolute error = 8e-31
relative error = 6.4867616504754083262492838965236e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.846
y[1] (analytic) = 1.232720445055053928361465182473
y[1] (numeric) = 1.2327204450550539283614651824738
absolute error = 8e-31
relative error = 6.4897114606083424617501892252672e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.847
y[1] (analytic) = 1.2321594916898398955059855682657
y[1] (numeric) = 1.2321594916898398955059855682666
absolute error = 9e-31
relative error = 7.3042492150565575481459382209887e-29 %
Correct digits = 30
memory used=1270.3MB, alloc=4.5MB, time=112.87
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.848
y[1] (analytic) = 1.231598156282885415279581170682
y[1] (numeric) = 1.2315981562828854152795811706828
absolute error = 8e-31
relative error = 6.4956251835785327145641496842360e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.849
y[1] (analytic) = 1.231036439035101391793386026818
y[1] (numeric) = 1.2310364390351013917933860268188
absolute error = 8e-31
relative error = 6.4985891126589880557161346664059e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.85
y[1] (analytic) = 1.2304743401473517058734019526235
y[1] (numeric) = 1.2304743401473517058734019526244
absolute error = 9e-31
relative error = 7.3142524848768747336613483468910e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.851
y[1] (analytic) = 1.2299118598204532223490493637513
y[1] (numeric) = 1.2299118598204532223490493637521
absolute error = 8e-31
relative error = 6.5045311467830447683748153261213e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.852
y[1] (analytic) = 1.2293489982551757973408664832763
y[1] (numeric) = 1.2293489982551757973408664832771
absolute error = 8e-31
relative error = 6.5075092682016739511618809597291e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1274.1MB, alloc=4.5MB, time=113.24
x[1] = 0.853
y[1] (analytic) = 1.2287857556522422855473570164014
y[1] (numeric) = 1.2287857556522422855473570164023
absolute error = 9e-31
relative error = 7.3243036539130285122233599596812e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.854
y[1] (analytic) = 1.2282221322123285475309863722566
y[1] (numeric) = 1.2282221322123285475309863722573
absolute error = 7e-31
relative error = 5.6992947907487120702115869856757e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.855
y[1] (analytic) = 1.2276581281360634570033265128922
y[1] (numeric) = 1.2276581281360634570033265128929
absolute error = 7e-31
relative error = 5.7019131300242391161818985199766e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.856
y[1] (analytic) = 1.227093743624028908109349509566
y[1] (numeric) = 1.2270937436240289081093495095667
absolute error = 7e-31
relative error = 5.7045356447883092582209404252229e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.857
y[1] (analytic) = 1.2265289788767598227108698864088
y[1] (numeric) = 1.2265289788767598227108698864095
absolute error = 7e-31
relative error = 5.7071623423121352103694523705909e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.858
y[1] (analytic) = 1.2259638340947441576691358315543
y[1] (numeric) = 1.225963834094744157669135831555
absolute error = 7e-31
relative error = 5.7097932298866089144106503813327e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1277.9MB, alloc=4.5MB, time=113.62
x[1] = 0.859
y[1] (analytic) = 1.2253983094784229121265693558093
y[1] (numeric) = 1.22539830947842291212656935581
absolute error = 7e-31
relative error = 5.7124283148223631262644527596596e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.86
y[1] (analytic) = 1.2248324052281901347876554789341
y[1] (numeric) = 1.2248324052281901347876554789349
absolute error = 8e-31
relative error = 6.5315058336569522778518110762390e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.861
y[1] (analytic) = 1.2242661215443929311989805235985
y[1] (numeric) = 1.2242661215443929311989805235991
absolute error = 6e-31
relative error = 4.9008952338165594620448458676211e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.862
y[1] (analytic) = 1.2236994586273314710284195970681
y[1] (numeric) = 1.2236994586273314710284195970688
absolute error = 7e-31
relative error = 5.7203588272010486435318508155755e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.863
y[1] (analytic) = 1.2231324166772589953434733406778
y[1] (numeric) = 1.2231324166772589953434733406784
absolute error = 6e-31
relative error = 4.9054378072159180833656005890092e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1281.7MB, alloc=4.5MB, time=113.99
x[1] = 0.864
y[1] (analytic) = 1.2225649958943818238887540271304
y[1] (numeric) = 1.2225649958943818238887540271311
absolute error = 7e-31
relative error = 5.7256669571821558197450688244703e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.865
y[1] (analytic) = 1.2219971964788593623626210856666
y[1] (numeric) = 1.2219971964788593623626210856672
absolute error = 6e-31
relative error = 4.9099948979333034197665503688702e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.866
y[1] (analytic) = 1.2214290186308041096929661351319
y[1] (numeric) = 1.2214290186308041096929661351325
absolute error = 6e-31
relative error = 4.9122789032193390053315277473775e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.867
y[1] (analytic) = 1.2208604625502816653121476049728
y[1] (numeric) = 1.2208604625502816653121476049734
absolute error = 6e-31
relative error = 4.9145665569892164553794734992776e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.868
y[1] (analytic) = 1.2202915284373107364310750241774
y[1] (numeric) = 1.2202915284373107364310750241779
absolute error = 5e-31
relative error = 4.0973815547199071063831349460053e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.869
y[1] (analytic) = 1.2197222164918631453124430581763
y[1] (numeric) = 1.2197222164918631453124430581769
absolute error = 6e-31
relative error = 4.9191528356817680641220215219917e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1285.5MB, alloc=4.5MB, time=114.36
x[1] = 0.87
y[1] (analytic) = 1.2191525269138638365431153737114
y[1] (numeric) = 1.219152526913863836543115373712
absolute error = 6e-31
relative error = 4.9214514734987831006369368569787e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.871
y[1] (analytic) = 1.2185824599031908843056584116715
y[1] (numeric) = 1.218582459903190884305658411672
absolute error = 5e-31
relative error = 4.1031281546570268279037123312612e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.872
y[1] (analytic) = 1.218012015659675499649025147891
y[1] (numeric) = 1.2180120156596754996490251478915
absolute error = 5e-31
relative error = 4.1050498153681999696553438783332e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.873
y[1] (analytic) = 1.2174411943831020377583889219003
y[1] (numeric) = 1.2174411943831020377583889219008
absolute error = 5e-31
relative error = 4.1069745488065107162214077548389e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.874
y[1] (analytic) = 1.216869996273208005224127413608
y[1] (numeric) = 1.2168699962732080052241274136085
absolute error = 5e-31
relative error = 4.1089023604107459499325772345285e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1289.4MB, alloc=4.5MB, time=114.73
x[1] = 0.875
y[1] (analytic) = 1.2162984215296840673099568478926
y[1] (numeric) = 1.216298421529684067309956847893
absolute error = 4e-31
relative error = 3.2886666045076167182642263001752e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.876
y[1] (analytic) = 1.2157264703521740552202165070714
y[1] (numeric) = 1.2157264703521740552202165070718
absolute error = 4e-31
relative error = 3.2902137919570609220551034645276e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.877
y[1] (analytic) = 1.2151541429402749733663036312118
y[1] (numeric) = 1.2151541429402749733663036312122
absolute error = 4e-31
relative error = 3.2917634550636599031251506565063e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.878
y[1] (analytic) = 1.2145814394935370066322587862393
y[1] (numeric) = 1.2145814394935370066322587862397
absolute error = 4e-31
relative error = 3.2933155982261201652993101764208e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.879
y[1] (analytic) = 1.2140083602114635276395017797947
y[1] (numeric) = 1.214008360211463527639501779795
absolute error = 3e-31
relative error = 2.4711526693913716864311618658039e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used
Radius of convergence = 202
Order of pole = 173.6
TOP MAIN SOLVE Loop
x[1] = 0.88
y[1] (analytic) = 1.2134349052935111040107182047827
y[1] (numeric) = 1.2134349052935111040107182047831
absolute error = 4e-31
relative error = 3.2964273423735589437727761347835e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1293.2MB, alloc=4.5MB, time=115.10
x[1] = 0.881
y[1] (analytic) = 1.2128610749390895056328966905532
y[1] (numeric) = 1.2128610749390895056328966905535
absolute error = 3e-31
relative error = 2.4734902141621302437765245230118e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.882
y[1] (analytic) = 1.212286869347561711919516941641
y[1] (numeric) = 1.2122868693475617119195169416414
absolute error = 4e-31
relative error = 3.2995490598299989341904295929607e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.883
y[1] (analytic) = 1.2117122887182439190718886439967
y[1] (numeric) = 1.2117122887182439190718886439971
absolute error = 4e-31
relative error = 3.3011136696741951176708889331009e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.884
y[1] (analytic) = 1.2111373332504055473396413186202
y[1] (numeric) = 1.2111373332504055473396413186206
absolute error = 4e-31
relative error = 3.3026807862201291833503671149893e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.885
y[1] (analytic) = 1.2105620031432692482803652025153
y[1] (numeric) = 1.2105620031432692482803652025157
absolute error = 4e-31
relative error = 3.3042504139514137113248675231820e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.886
y[1] (analytic) = 1.2099862985960109120184032368682
y[1] (numeric) = 1.2099862985960109120184032368686
absolute error = 4e-31
relative error = 3.3058225573639460193412077642604e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1297.0MB, alloc=4.5MB, time=115.47
TOP MAIN SOLVE Loop
x[1] = 0.887
y[1] (analytic) = 1.2094102198077596745027942423518
y[1] (numeric) = 1.2094102198077596745027942423522
absolute error = 4e-31
relative error = 3.3073972209659474502431834029496e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.888
y[1] (analytic) = 1.2088337669775979247643673614482
y[1] (numeric) = 1.2088337669775979247643673614485
absolute error = 3e-31
relative error = 2.4817308069585021116076017625100e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.889
y[1] (analytic) = 1.2082569403045613121719878476777
y[1] (numeric) = 1.2082569403045613121719878476781
absolute error = 4e-31
relative error = 3.3105541268330999953663180130292e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.89
y[1] (analytic) = 1.2076797399876387536879542816159
y[1] (numeric) = 1.2076797399876387536879542816163
absolute error = 4e-31
relative error = 3.3121363781766696968765318701944e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.891
y[1] (analytic) = 1.2071021662257724411225472935717
y[1] (numeric) = 1.2071021662257724411225472935721
absolute error = 4e-31
relative error = 3.3137211678666253695806007418795e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1300.8MB, alloc=4.5MB, time=115.84
x[1] = 0.892
y[1] (analytic) = 1.2065242192178578483877298727968
y[1] (numeric) = 1.2065242192178578483877298727972
absolute error = 4e-31
relative error = 3.3153085004734032805563708596314e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.893
y[1] (analytic) = 1.2059458991627437387499993430885
y[1] (numeric) = 1.2059458991627437387499993430888
absolute error = 3e-31
relative error = 2.4876737854350020617035525103153e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.894
y[1] (analytic) = 1.2053672062592321720823910846398
y[1] (numeric) = 1.2053672062592321720823910846402
absolute error = 4e-31
relative error = 3.3184908127820265408540207454594e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.895
y[1] (analytic) = 1.2047881407060785121156340819906
y[1] (numeric) = 1.2047881407060785121156340819909
absolute error = 3e-31
relative error = 2.4900643512657910691136689144875e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.896
y[1] (analytic) = 1.2042087027019914336884583779174
y[1] (numeric) = 1.2042087027019914336884583779177
absolute error = 3e-31
relative error = 2.4912625139385141697356621616441e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.897
y[1] (analytic) = 1.2036288924456329299970545131048
y[1] (numeric) = 1.2036288924456329299970545131052
absolute error = 4e-31
relative error = 3.3232834681065760349801354362706e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1304.6MB, alloc=4.5MB, time=116.21
x[1] = 0.898
y[1] (analytic) = 1.2030487101356183198436850314248
y[1] (numeric) = 1.2030487101356183198436850314251
absolute error = 3e-31
relative error = 2.4936646161748624413559426331014e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.899
y[1] (analytic) = 1.20246815597051625488444813065
y[1] (numeric) = 1.2024681559705162548844481306503
absolute error = 3e-31
relative error = 2.4948685627177291078300893967282e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.9
y[1] (analytic) = 1.2018872301488487268761935384199
y[1] (numeric) = 1.2018872301488487268761935384202
absolute error = 3e-31
relative error = 2.4960744442125926379888013397432e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.901
y[1] (analytic) = 1.2013059328690910749225906932704
y[1] (numeric) = 1.2013059328690910749225906932707
absolute error = 3e-31
relative error = 2.4972822641731817175815031301073e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.902
y[1] (analytic) = 1.2007242643296719927193493105326
y[1] (numeric) = 1.2007242643296719927193493105329
absolute error = 3e-31
relative error = 2.4984920261229243843736058331003e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1308.4MB, alloc=4.5MB, time=116.58
x[1] = 0.903
y[1] (analytic) = 1.2001422247289735357985924129004
y[1] (numeric) = 1.2001422247289735357985924129007
absolute error = 3e-31
relative error = 2.4997037335949794320979787050501e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.904
y[1] (analytic) = 1.1995598142653311287723819054602
y[1] (numeric) = 1.1995598142653311287723819054604
absolute error = 2e-31
relative error = 1.6672782600881786268918396977927e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.905
y[1] (analytic) = 1.1989770331370335725753967749673
y[1] (numeric) = 1.1989770331370335725753967749677
absolute error = 4e-31
relative error = 3.3361773323833399078950113478601e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.906
y[1] (analytic) = 1.1983938815423230517067639931535
y[1] (numeric) = 1.1983938815423230517067639931538
absolute error = 3e-31
relative error = 2.5033505646232311514127954523254e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.907
y[1] (analytic) = 1.197810359679395141471042203834
y[1] (numeric) = 1.1978103596793951414710422038342
absolute error = 2e-31
relative error = 1.6697133931412299908576096568651e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.908
y[1] (analytic) = 1.1972264677463988152183582735873
y[1] (numeric) = 1.1972264677463988152183582735875
absolute error = 2e-31
relative error = 1.6705277187570896642483610021200e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1312.3MB, alloc=4.5MB, time=116.95
x[1] = 0.909
y[1] (analytic) = 1.1966422059414364515836967857658
y[1] (numeric) = 1.1966422059414364515836967857659
absolute error = 1e-31
relative error = 8.3567167782893652905693037684236e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.91
y[1] (analytic) = 1.1960575744625638417253425575932
y[1] (numeric) = 1.1960575744625638417253425575935
absolute error = 3e-31
relative error = 2.5082404593675343066252890519899e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.911
y[1] (analytic) = 1.1954725735077901965624762600993
y[1] (numeric) = 1.1954725735077901965624762600995
absolute error = 2e-31
relative error = 1.6729785729266395153080360096010e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.912
y[1] (analytic) = 1.1948872032750781540119232206302
y[1] (numeric) = 1.1948872032750781540119232206304
absolute error = 2e-31
relative error = 1.6737981581175028221274541040254e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.913
y[1] (analytic) = 1.1943014639623437862240554876765
y[1] (numeric) = 1.1943014639623437862240554876768
absolute error = 3e-31
relative error = 2.5119285963586407528797848063878e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1316.1MB, alloc=4.5MB, time=117.31
x[1] = 0.914
y[1] (analytic) = 1.1937153557674566068178472377445
y[1] (numeric) = 1.1937153557674566068178472377448
absolute error = 3e-31
relative error = 2.5131619405794250378048946483958e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.915
y[1] (analytic) = 1.1931288788882395781150836039957
y[1] (numeric) = 1.1931288788882395781150836039961
absolute error = 4e-31
relative error = 3.3525296979880411841316723618965e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.916
y[1] (analytic) = 1.1925420335224691183737230063734
y[1] (numeric) = 1.1925420335224691183737230063737
absolute error = 3e-31
relative error = 2.5156345987560327855022457964763e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.917
y[1] (analytic) = 1.1919548198678751090204130629245
y[1] (numeric) = 1.1919548198678751090204130629247
absolute error = 2e-31
relative error = 1.6779159466981260762303057039731e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.918
y[1] (analytic) = 1.1913672381221409018821601620246
y[1] (numeric) = 1.1913672381221409018821601620249
absolute error = 3e-31
relative error = 2.5181152410474755168777338894341e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.919
y[1] (analytic) = 1.1907792884829033264171527752032
y[1] (numeric) = 1.1907792884829033264171527752035
absolute error = 3e-31
relative error = 2.5193585654501183835728521070560e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1319.9MB, alloc=4.5MB, time=117.68
x[1] = 0.92
y[1] (analytic) = 1.1901909711477526969447385902606
y[1] (numeric) = 1.1901909711477526969447385902608
absolute error = 2e-31
relative error = 1.6804025979724189860255878043410e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.921
y[1] (analytic) = 1.1896022863142328198745555443641
y[1] (numeric) = 1.1896022863142328198745555443644
absolute error = 3e-31
relative error = 2.5218512392868347041615851416954e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.922
y[1] (analytic) = 1.1890132341798410009348168368027
y[1] (numeric) = 1.1890132341798410009348168368031
absolute error = 4e-31
relative error = 3.3641341282118906601702266229522e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.923
y[1] (analytic) = 1.1884238149420280523997500010729
y[1] (numeric) = 1.1884238149420280523997500010732
absolute error = 3e-31
relative error = 2.5243519713094453599495891582049e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.924
y[1] (analytic) = 1.1878340287981983003161901159627
y[1] (numeric) = 1.1878340287981983003161901159631
absolute error = 4e-31
relative error = 3.3674738246445387375360399561637e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.925
y[1] (analytic) = 1.1872438759457095917293272352971
y[1] (numeric) = 1.1872438759457095917293272352974
absolute error = 3e-31
relative error = 2.5268607914362358892556869662466e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1323.7MB, alloc=4.5MB, time=118.05
TOP MAIN SOLVE Loop
x[1] = 0.926
y[1] (analytic) = 1.186653356581873301907608115995
y[1] (numeric) = 1.1866533565818733019076081159954
absolute error = 4e-31
relative error = 3.3708243252451622609485227678869e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.927
y[1] (analytic) = 1.1860624709039543415667923240913
y[1] (numeric) = 1.1860624709039543415667923240916
absolute error = 3e-31
relative error = 2.5293777297527659059371725341077e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.928
y[1] (analytic) = 1.1854712191091711640931627983603
y[1] (numeric) = 1.1854712191091711640931627983606
absolute error = 3e-31
relative error = 2.5306392526799312931148270642837e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.929
y[1] (analytic) = 1.1848796013946957727658909511816
y[1] (numeric) = 1.1848796013946957727658909511819
absolute error = 3e-31
relative error = 2.5319028165129738454061510876101e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.93
y[1] (analytic) = 1.1842876179576537279785563862737
y[1] (numeric) = 1.1842876179576537279785563862741
absolute error = 4e-31
relative error = 3.3775579000801703776700051284051e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1327.5MB, alloc=4.5MB, time=118.43
x[1] = 0.931
y[1] (analytic) = 1.1836952689951241544598213129211
y[1] (numeric) = 1.1836952689951241544598213129214
absolute error = 3e-31
relative error = 2.5344360821402907194249939011447e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.932
y[1] (analytic) = 1.183102554704139748493259736309
y[1] (numeric) = 1.1831025547041397484932597363095
absolute error = 5e-31
relative error = 4.2261763193050982708269413063991e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.933
y[1] (analytic) = 1.1825094752816867851363415035807
y[1] (numeric) = 1.1825094752816867851363415035811
absolute error = 4e-31
relative error = 3.3826367429716839525435863604965e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.934
y[1] (analytic) = 1.1819160309247051254385712852154
y[1] (numeric) = 1.1819160309247051254385712852157
absolute error = 3e-31
relative error = 2.5382513829285029128122339424861e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.935
y[1] (analytic) = 1.1813222218300882236587825713306
y[1] (numeric) = 1.181322221830088223658782571331
absolute error = 4e-31
relative error = 3.3860363633922459584950840929280e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.936
y[1] (analytic) = 1.1807280481946831344815867624979
y[1] (numeric) = 1.1807280481946831344815867624982
absolute error = 3e-31
relative error = 2.5408052299485546511946725236991e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1331.3MB, alloc=4.5MB, time=118.80
x[1] = 0.937
y[1] (analytic) = 1.1801335102152905202329774346561
y[1] (numeric) = 1.1801335102152905202329774346564
absolute error = 3e-31
relative error = 2.5420852590252378666104255816352e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.938
y[1] (analytic) = 1.1795386080886646580950898577047
y[1] (numeric) = 1.1795386080886646580950898577049
absolute error = 2e-31
relative error = 1.6955782424458480589726194910017e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.939
y[1] (analytic) = 1.178943342011513447320115847347
y[1] (numeric) = 1.1789433420115134473201158473472
absolute error = 2e-31
relative error = 1.6964343651897634554047581102777e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.94
y[1] (analytic) = 1.1783477121804984164433740297515
y[1] (numeric) = 1.1783477121804984164433740297518
absolute error = 3e-31
relative error = 2.5459378152893313853839539636477e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.941
y[1] (analytic) = 1.1777517187922347304955355985911
y[1] (numeric) = 1.1777517187922347304955355985913
absolute error = 2e-31
relative error = 1.6981507800735519490939481933890e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1335.1MB, alloc=4.5MB, time=119.17
x[1] = 0.942
y[1] (analytic) = 1.1771553620432911982140056440129
y[1] (numeric) = 1.1771553620432911982140056440132
absolute error = 3e-31
relative error = 2.5485166161861917951464053445868e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.943
y[1] (analytic) = 1.1765586421301902792534601330901
y[1] (numeric) = 1.1765586421301902792534601330904
absolute error = 3e-31
relative error = 2.5498091574665766925252812675523e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.944
y[1] (analytic) = 1.1759615592494080913955386212924
y[1] (numeric) = 1.1759615592494080913955386212928
absolute error = 4e-31
relative error = 3.4014717305496934426133917011618e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.945
y[1] (analytic) = 1.1753641135973744177576927745142
y[1] (numeric) = 1.1753641135973744177576927745147
absolute error = 5e-31
relative error = 4.2540009024920507231218413127997e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.946
y[1] (analytic) = 1.1747663053704727140011907811873
y[1] (numeric) = 1.1747663053704727140011907811877
absolute error = 4e-31
relative error = 3.4049325229314994757520268029276e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.947
y[1] (analytic) = 1.1741681347650401155382777340006
y[1] (numeric) = 1.174168134765040115538277734001
absolute error = 4e-31
relative error = 3.4066671386891538470390780709951e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1339.0MB, alloc=4.5MB, time=119.55
x[1] = 0.948
y[1] (analytic) = 1.1735696019773674447384920607453
y[1] (numeric) = 1.1735696019773674447384920607457
absolute error = 4e-31
relative error = 3.4084045746075322295953448128358e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.949
y[1] (analytic) = 1.172970707203699218134138083793
y[1] (numeric) = 1.1729707072036992181341380837933
absolute error = 3e-31
relative error = 2.5576086270319938368081143173329e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.95
y[1] (analytic) = 1.1723714506402336536249147877116
y[1] (numeric) = 1.172371450640233653624914787712
absolute error = 4e-31
relative error = 3.4118879283657022915934065790260e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.951
y[1] (analytic) = 1.1717718324831226776817008745176
y[1] (numeric) = 1.1717718324831226776817008745179
absolute error = 3e-31
relative error = 2.5602253927222727886834297648709e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.952
y[1] (analytic) = 1.1711718529284719325494961860531
y[1] (numeric) = 1.1711718529284719325494961860534
absolute error = 3e-31
relative error = 2.5615369704271929673822817290131e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1342.8MB, alloc=4.5MB, time=119.92
x[1] = 0.953
y[1] (analytic) = 1.1705715121723407834495195729763
y[1] (numeric) = 1.1705715121723407834495195729766
absolute error = 3e-31
relative error = 2.5628506834517226021042902667422e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.954
y[1] (analytic) = 1.1699708104107423257804632898407
y[1] (numeric) = 1.169970810410742325780463289841
absolute error = 3e-31
relative error = 2.5641665358700601029253864591289e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.955
y[1] (analytic) = 1.1693697478396433923189039957376
y[1] (numeric) = 1.1693697478396433923189039957378
absolute error = 2e-31
relative error = 1.7103230211786371590956272724095e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.956
y[1] (analytic) = 1.1687683246549645604188704399664
y[1] (numeric) = 1.1687683246549645604188704399667
absolute error = 3e-31
relative error = 2.5668046752427505934003481435702e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.957
y[1] (analytic) = 1.1681665410525801592105679121953
y[1] (numeric) = 1.1681665410525801592105679121955
absolute error = 2e-31
relative error = 1.7120846469356104564906868444786e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.958
y[1] (analytic) = 1.1675643972283182767982595365612
y[1] (numeric) = 1.1675643972283182767982595365614
absolute error = 2e-31
relative error = 1.7129676142470608292314049547963e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1346.6MB, alloc=4.5MB, time=120.29
x[1] = 0.959
y[1] (analytic) = 1.166961893377960767457304489162
y[1] (numeric) = 1.1669618933779607674573044891623
absolute error = 3e-31
relative error = 2.5707780322766261588272336893166e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.96
y[1] (analytic) = 1.1663590296972432588303532183775
y[1] (numeric) = 1.1663590296972432588303532183778
absolute error = 3e-31
relative error = 2.5721068072656175816703739518532e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.961
y[1] (analytic) = 1.1657558063818551591226997474557
y[1] (numeric) = 1.1657558063818551591226997474559
absolute error = 2e-31
relative error = 1.7156251669956337998817343469627e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.962
y[1] (analytic) = 1.1651522236274396642967911387932
y[1] (numeric) = 1.1651522236274396642967911387934
absolute error = 2e-31
relative error = 1.7165139107518924487148839231866e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.963
y[1] (analytic) = 1.1645482816295937652658941993317
y[1] (numeric) = 1.164548281629593765265894199332
absolute error = 3e-31
relative error = 2.5761061583483627365732176446600e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.964
y[1] (analytic) = 1.1639439805838682550869195064857
y[1] (numeric) = 1.163943980583868255086919506486
absolute error = 3e-31
relative error = 2.5774436313465124707984814998638e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1350.4MB, alloc=4.5MB, time=120.66
TOP MAIN SOLVE Loop
x[1] = 0.965
y[1] (analytic) = 1.163339320685767736152402834012
y[1] (numeric) = 1.1633393206857677361524028340122
absolute error = 2e-31
relative error = 1.7191888595504841594863597027287e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.966
y[1] (analytic) = 1.1627343021307506273816440572239
y[1] (numeric) = 1.1627343021307506273816440572243
absolute error = 4e-31
relative error = 3.4401668486685757261155011275830e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.967
y[1] (analytic) = 1.1621289251142291714110036169489
y[1] (numeric) = 1.1621289251142291714110036169492
absolute error = 3e-31
relative error = 2.5814691771010870544132592463826e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.968
y[1] (analytic) = 1.1615231898315694417833566216164
y[1] (numeric) = 1.1615231898315694417833566216167
absolute error = 3e-31
relative error = 2.5828154153642210468310558495856e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.969
y[1] (analytic) = 1.1609170964780913501367046668661
y[1] (numeric) = 1.1609170964780913501367046668664
absolute error = 3e-31
relative error = 2.5841638555424750272858638933027e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1354.2MB, alloc=4.5MB, time=121.03
x[1] = 0.97
y[1] (analytic) = 1.1603106452490686533919454520502
y[1] (numeric) = 1.1603106452490686533919454520506
absolute error = 4e-31
relative error = 3.4473526691995250228143390979766e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.971
y[1] (analytic) = 1.1597038363397289609398002730047
y[1] (numeric) = 1.1597038363397289609398002730051
absolute error = 4e-31
relative error = 3.4491564782822893529813046611040e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.972
y[1] (analytic) = 1.1590966699452537418268994704534
y[1] (numeric) = 1.1590966699452537418268994704538
absolute error = 4e-31
relative error = 3.4509632403558948405074819127129e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.973
y[1] (analytic) = 1.1584891462607783319410259134062
y[1] (numeric) = 1.1584891462607783319410259134066
absolute error = 4e-31
relative error = 3.4527729611543478600869796168972e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.974
y[1] (analytic) = 1.1578812654813919411955165969033
y[1] (numeric) = 1.1578812654813919411955165969036
absolute error = 3e-31
relative error = 2.5909392348210614947896775904457e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.975
y[1] (analytic) = 1.1572730278021376607128224334528
y[1] (numeric) = 1.157273027802137660712822433453
absolute error = 2e-31
relative error = 1.7282006509720071204830191634215e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1358.0MB, alloc=4.5MB, time=121.40
x[1] = 0.976
y[1] (analytic) = 1.156664433418012470007226317503
y[1] (numeric) = 1.1566644334180124700072263175034
absolute error = 4e-31
relative error = 3.4582199334856014750264719367868e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.977
y[1] (analytic) = 1.1560554825239672441667195422843
y[1] (numeric) = 1.1560554825239672441667195422846
absolute error = 3e-31
relative error = 2.5950311601396728418393076386690e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.978
y[1] (analytic) = 1.1554461753149067610340366483452
y[1] (numeric) = 1.1554461753149067610340366483454
absolute error = 2e-31
relative error = 1.7309330739313040454884056768655e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.979
y[1] (analytic) = 1.1548365119856897083868487831102
y[1] (numeric) = 1.1548365119856897083868487831104
absolute error = 2e-31
relative error = 1.7318468711740759663094411715839e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.98
y[1] (analytic) = 1.1542264927311286911171156507711
y[1] (numeric) = 1.1542264927311286911171156507713
absolute error = 2e-31
relative error = 1.7327621680798571239469683811030e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1361.8MB, alloc=4.5MB, time=121.77
x[1] = 0.981
y[1] (analytic) = 1.1536161177459902384095961318216
y[1] (numeric) = 1.1536161177459902384095961318219
absolute error = 3e-31
relative error = 2.6005184513732297487237087677649e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used
Radius of convergence = 1.999
Order of pole = 0.7198
TOP MAIN SOLVE Loop
x[1] = 0.982
y[1] (analytic) = 1.1530053872249948109195176515405
y[1] (numeric) = 1.1530053872249948109195176515408
absolute error = 3e-31
relative error = 2.6018959089343672961842332762567e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.983
y[1] (analytic) = 1.1523943013628168079494043767172
y[1] (numeric) = 1.1523943013628168079494043767175
absolute error = 3e-31
relative error = 2.6032756292288257732287416825804e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.984
y[1] (analytic) = 1.1517828603540845746250643199135
y[1] (numeric) = 1.1517828603540845746250643199137
absolute error = 2e-31
relative error = 1.7364384111299884631313366495857e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.985
y[1] (analytic) = 1.1511710643933804090707354305426
y[1] (numeric) = 1.1511710643933804090707354305429
absolute error = 3e-31
relative error = 2.6060418757840096134040940491565e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.986
y[1] (analytic) = 1.1505589136752405695833907520476
y[1] (numeric) = 1.1505589136752405695833907520478
absolute error = 2e-31
relative error = 1.7382856073066108492470335458370e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1365.7MB, alloc=4.5MB, time=122.14
x[1] = 0.987
y[1] (analytic) = 1.1499464083941552818062027244462
y[1] (numeric) = 1.1499464083941552818062027244464
absolute error = 2e-31
relative error = 1.7392114844663966350852441308514e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.988
y[1] (analytic) = 1.1493335487445687459011667115121
y[1] (numeric) = 1.1493335487445687459011667115124
absolute error = 3e-31
relative error = 2.6102083274928649860117505819664e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.989
y[1] (analytic) = 1.1487203349208791437208838318494
y[1] (numeric) = 1.1487203349208791437208838318496
absolute error = 2e-31
relative error = 1.7410678118950116575738519337901e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.99
y[1] (analytic) = 1.1481067671174386459795031731133
y[1] (numeric) = 1.1481067671174386459795031731135
absolute error = 2e-31
relative error = 1.7419982681762401650287833401368e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.991
y[1] (analytic) = 1.1474928455285534194228234686258
y[1] (numeric) = 1.1474928455285534194228234686261
absolute error = 3e-31
relative error = 2.6143953852872628407396886236872e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1369.5MB, alloc=4.5MB, time=122.51
x[1] = 0.992
y[1] (analytic) = 1.146878570348483633997554315625
y[1] (numeric) = 1.1468785703484836339975543156252
absolute error = 2e-31
relative error = 1.7438637809688012676104646667524e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.993
y[1] (analytic) = 1.1462639417714434700197370143824
y[1] (numeric) = 1.1462639417714434700197370143826
absolute error = 2e-31
relative error = 1.7447988435448710722806558558818e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.994
y[1] (analytic) = 1.1456489599916011253423251074181
y[1] (numeric) = 1.1456489599916011253423251074182
absolute error = 1e-31
relative error = 8.7286772381596811872029308342062e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.995
y[1] (analytic) = 1.1450336252030788225219246980329
y[1] (numeric) = 1.145033625203078822521924698033
absolute error = 1e-31
relative error = 8.7333679814218887359593169187259e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.996
y[1] (analytic) = 1.1444179375999528159846946273754
y[1] (numeric) = 1.1444179375999528159846946273755
absolute error = 1e-31
relative error = 8.7380664628271834045584444193475e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.997
y[1] (analytic) = 1.1438018973762533991914065892515
y[1] (numeric) = 1.1438018973762533991914065892518
absolute error = 3e-31
relative error = 2.6228318093208675769801388970156e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1373.3MB, alloc=4.5MB, time=122.88
x[1] = 0.998
y[1] (analytic) = 1.143185504725964911801665261881
y[1] (numeric) = 1.1431855047259649118016652618812
absolute error = 2e-31
relative error = 1.7494973403108567738136582480530e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 0.999
y[1] (analytic) = 1.1425687598430257468372885357952
y[1] (numeric) = 1.1425687598430257468372885357953
absolute error = 1e-31
relative error = 8.7522084897313938385641914249846e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1
y[1] (analytic) = 1.1419516629213283578448479170698
y[1] (numeric) = 1.14195166292132835784484791707
absolute error = 2e-31
relative error = 1.7513876155525021900736191852919e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.001
y[1] (analytic) = 1.1413342141547192660573691850748
y[1] (numeric) = 1.141334214154719266057369185075
absolute error = 2e-31
relative error = 1.7523350962375338027179822823958e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.002
y[1] (analytic) = 1.1407164137369990675551933839193
y[1] (numeric) = 1.1407164137369990675551933839195
absolute error = 2e-31
relative error = 1.7532841431184274731413132787086e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.003
y[1] (analytic) = 1.1400982618619224404259982267644
y[1] (numeric) = 1.1400982618619224404259982267647
absolute error = 3e-31
relative error = 2.6313521389819737149379677497866e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1377.1MB, alloc=4.5MB, time=123.25
TOP MAIN SOLVE Loop
x[1] = 1.004
y[1] (analytic) = 1.1394797587231981519239799921689
y[1] (numeric) = 1.1394797587231981519239799921691
absolute error = 2e-31
relative error = 1.7551869479814419335553746527264e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.005
y[1] (analytic) = 1.1388609045144890656281959916259
y[1] (numeric) = 1.1388609045144890656281959916262
absolute error = 3e-31
relative error = 2.6342110683647870739178072488935e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.006
y[1] (analytic) = 1.1382416994294121486000676874463
y[1] (numeric) = 1.1382416994294121486000676874466
absolute error = 3e-31
relative error = 2.6356440828901862357628054449177e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.007
y[1] (analytic) = 1.1376221436615384785400445401322
y[1] (numeric) = 1.1376221436615384785400445401324
absolute error = 2e-31
relative error = 1.7580529801950068989550285851357e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.008
y[1] (analytic) = 1.137002237404393250943428664383
y[1] (numeric) = 1.1370022374043932509434286643832
absolute error = 2e-31
relative error = 1.7590114902198452095245541019731e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1380.9MB, alloc=4.5MB, time=123.62
x[1] = 1.009
y[1] (analytic) = 1.1363819808514557862553603728687
y[1] (numeric) = 1.136381980851455786255360372869
absolute error = 3e-31
relative error = 2.6399573827738741606670211495624e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.01
y[1] (analytic) = 1.1357613741961595370249646868967
y[1] (numeric) = 1.135761374196159537024964686897
absolute error = 3e-31
relative error = 2.6413999174107009340000119990293e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.011
y[1] (analytic) = 1.1351404176318920950586588930947
y[1] (numeric) = 1.1351404176318920950586588930949
absolute error = 2e-31
relative error = 1.7618965626934165359059779476637e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.012
y[1] (analytic) = 1.1345191113519951985726212252247
y[1] (numeric) = 1.134519111351995198572621225225
absolute error = 3e-31
relative error = 2.6442921674760768780255754883127e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.013
y[1] (analytic) = 1.1338974555497647393444207502397
y[1] (numeric) = 1.1338974555497647393444207502399
absolute error = 2e-31
relative error = 1.7638279283643948197364450797305e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.014
y[1] (analytic) = 1.133275450418450769863808537681
y[1] (numeric) = 1.1332754504184507698638085376813
absolute error = 3e-31
relative error = 2.6471940240938596372479886577488e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1384.7MB, alloc=4.5MB, time=123.99
x[1] = 1.015
y[1] (analytic) = 1.132653096151257510482670191519
y[1] (numeric) = 1.1326530961512575104826701915193
absolute error = 3e-31
relative error = 2.6486485669742715395499874586277e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.016
y[1] (analytic) = 1.1320303929413433565641398235226
y[1] (numeric) = 1.1320303929413433565641398235228
absolute error = 2e-31
relative error = 1.7667370173723161364563672575179e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.017
y[1] (analytic) = 1.1314073409818208856308755472445
y[1] (numeric) = 1.1314073409818208856308755472448
absolute error = 3e-31
relative error = 2.6515649062314181163577386628228e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.018
y[1] (analytic) = 1.1307839404657568645124965717003
y[1] (numeric) = 1.1307839404657568645124965717006
absolute error = 3e-31
relative error = 2.6530267123924085771577324921734e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.019
y[1] (analytic) = 1.130160191586172256492181973811
y[1] (numeric) = 1.1301601915861722564921819738113
absolute error = 3e-31
relative error = 2.6544909494551565303894130268319e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1388.5MB, alloc=4.5MB, time=124.36
x[1] = 1.02
y[1] (analytic) = 1.1295360945360422284524312286767
y[1] (numeric) = 1.129536094536042228452431228677
absolute error = 3e-31
relative error = 2.6559576223478296014872178657997e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.021
y[1] (analytic) = 1.1289116495082961580199865767395
y[1] (numeric) = 1.1289116495082961580199865767398
absolute error = 3e-31
relative error = 2.6574267360131033601062136449016e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.022
y[1] (analytic) = 1.1282868566958176407099173068891
y[1] (numeric) = 1.1282868566958176407099173068892
absolute error = 1e-31
relative error = 8.8629943180273760133254523260952e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.023
y[1] (analytic) = 1.1276617162914444970688660345565
y[1] (numeric) = 1.1276617162914444970688660345568
absolute error = 3e-31
relative error = 2.6603723055050040657815100179754e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.024
y[1] (analytic) = 1.1270362284879687798174570538401
y[1] (numeric) = 1.1270362284879687798174570538405
absolute error = 4e-31
relative error = 3.5491316950533151249804995083372e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.025
y[1] (analytic) = 1.1264103934781367809918668426925
y[1] (numeric) = 1.1264103934781367809918668426929
absolute error = 4e-31
relative error = 3.5511035970191787436327483924641e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1392.4MB, alloc=4.5MB, time=124.73
x[1] = 1.026
y[1] (analytic) = 1.1257842114546490390845568002011
y[1] (numeric) = 1.1257842114546490390845568002015
absolute error = 4e-31
relative error = 3.5530787865922523085413119459885e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.027
y[1] (analytic) = 1.1251576826101603461841682949824
y[1] (numeric) = 1.1251576826101603461841682949827
absolute error = 3e-31
relative error = 2.6662929528602141018439079962954e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.028
y[1] (analytic) = 1.1245308071372797551145801037047
y[1] (numeric) = 1.1245308071372797551145801037051
absolute error = 4e-31
relative error = 3.5570390554108586102436587153414e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.029
y[1] (analytic) = 1.123903585228570586573128318751
y[1] (numeric) = 1.1239035852285705865731283187513
absolute error = 3e-31
relative error = 2.6692681110985902070285228138996e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.03
y[1] (analytic) = 1.1232760170765504362679888040208
y[1] (numeric) = 1.123276017076550436267988804021
absolute error = 2e-31
relative error = 1.7805062777047624507982418778922e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1396.2MB, alloc=4.5MB, time=125.11
x[1] = 1.031
y[1] (analytic) = 1.1226481028736911820547222778725
y[1] (numeric) = 1.1226481028736911820547222778729
absolute error = 4e-31
relative error = 3.5630042840325708539945883537271e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.032
y[1] (analytic) = 1.1220198428124189910719821021948
y[1] (numeric) = 1.1220198428124189910719821021951
absolute error = 3e-31
relative error = 2.6737495056061540882057211802085e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.033
y[1] (analytic) = 1.1213912370851143268763848565887
y[1] (numeric) = 1.121391237085114326876384856589
absolute error = 3e-31
relative error = 2.6752482994231727189494734459173e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.034
y[1] (analytic) = 1.120762285884111956576543776644
y[1] (numeric) = 1.1207622858841119565765437766443
absolute error = 3e-31
relative error = 2.6767495996115301776254630938229e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.035
y[1] (analytic) = 1.1201329894017009579662651352767
y[1] (numeric) = 1.120132989401700957966265135277
absolute error = 3e-31
relative error = 2.6782534113225220251015438775425e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.036
y[1] (analytic) = 1.1195033478301247266569076460963
y[1] (numeric) = 1.1195033478301247266569076460966
absolute error = 3e-31
relative error = 2.6797597397227479468683248893529e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1400.0MB, alloc=4.5MB, time=125.48
x[1] = 1.037
y[1] (analytic) = 1.1188733613615809832089049677602
y[1] (numeric) = 1.1188733613615809832089049677605
absolute error = 3e-31
relative error = 2.6812685899941667008575378100265e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.038
y[1] (analytic) = 1.1182430301882217802624513882702
y[1] (numeric) = 1.1182430301882217802624513882705
absolute error = 3e-31
relative error = 2.6827799673341513056387437171086e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.039
y[1] (analytic) = 1.117612354502153509667350768156
y[1] (numeric) = 1.1176123545021535096673507681564
absolute error = 4e-31
relative error = 3.5790585026073926269527660411354e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.04
y[1] (analytic) = 1.1169813344954369096120288214886
y[1] (numeric) = 1.1169813344954369096120288214891
absolute error = 5e-31
relative error = 4.4763505401445237777363441425484e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.041
y[1] (analytic) = 1.1163499703600870717517088136557
y[1] (numeric) = 1.116349970360087071751708813656
absolute error = 3e-31
relative error = 2.6873293139716100467127118126023e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.042
y[1] (analytic) = 1.1157182622880734483357507548276
y[1] (numeric) = 1.1157182622880734483357507548281
absolute error = 5e-31
relative error = 4.4814180864496976732305507494609e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1403.8MB, alloc=4.5MB, time=125.86
x[1] = 1.043
y[1] (analytic) = 1.1150862104713198593341541680396
y[1] (numeric) = 1.11508621047131985933415416804
absolute error = 4e-31
relative error = 3.5871665907421607761100618488499e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.044
y[1] (analytic) = 1.1144538151017044995632245107985
y[1] (numeric) = 1.1144538151017044995632245107989
absolute error = 4e-31
relative error = 3.5892021237640628420041914290863e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.045
y[1] (analytic) = 1.1138210763710599458104033291311
y[1] (numeric) = 1.1138210763710599458104033291315
absolute error = 4e-31
relative error = 3.5912410753012490860844726308175e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.046
y[1] (analytic) = 1.1131879944711731639582622229725
y[1] (numeric) = 1.1131879944711731639582622229728
absolute error = 3e-31
relative error = 2.6949625893379927613848007714504e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.047
y[1] (analytic) = 1.1125545695937855161076607017926
y[1] (numeric) = 1.112554569593785516107660701793
absolute error = 4e-31
relative error = 3.5953292623304534362935474783516e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1407.6MB, alloc=4.5MB, time=126.23
x[1] = 1.048
y[1] (analytic) = 1.1119208019305927677000680093533
y[1] (numeric) = 1.1119208019305927677000680093537
absolute error = 4e-31
relative error = 3.5973785120801113369751742340271e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.049
y[1] (analytic) = 1.1112866916732450946390489964775
y[1] (numeric) = 1.1112866916732450946390489964778
absolute error = 3e-31
relative error = 2.6995734066453653284667845611209e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.05
y[1] (analytic) = 1.1106522390133470904109141207111
y[1] (numeric) = 1.1106522390133470904109141207115
absolute error = 4e-31
relative error = 3.6014873598538980864506820875934e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.051
y[1] (analytic) = 1.1100174441424577732045336517496
y[1] (numeric) = 1.11001744414245777320453365175
absolute error = 4e-31
relative error = 3.6035469722642004918738039298901e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.052
y[1] (analytic) = 1.1093823072520905930303161614928
y[1] (numeric) = 1.1093823072520905930303161614932
absolute error = 4e-31
relative error = 3.6056100533168676390503142964879e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.053
y[1] (analytic) = 1.1087468285337134388383513775908
y[1] (numeric) = 1.1087468285337134388383513775911
absolute error = 3e-31
relative error = 2.7057574576943014105213380137831e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1411.4MB, alloc=4.5MB, time=126.60
x[1] = 1.054
y[1] (analytic) = 1.1081110081787486456357174793306
y[1] (numeric) = 1.108111008178748645635717479331
absolute error = 4e-31
relative error = 3.6097466503597468775981399162290e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.055
y[1] (analytic) = 1.1074748463785730016029529147154
y[1] (numeric) = 1.1074748463785730016029529147158
absolute error = 4e-31
relative error = 3.6118201809097002216363606434248e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.056
y[1] (analytic) = 1.1068383433245177552096928175714
y[1] (numeric) = 1.1068383433245177552096928175718
absolute error = 4e-31
relative error = 3.6138972092216597434091722592952e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.057
y[1] (analytic) = 1.1062014992078686223294701035225
y[1] (numeric) = 1.1062014992078686223294701035229
absolute error = 4e-31
relative error = 3.6159777426303701729709893799332e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.058
y[1] (analytic) = 1.1055643142198657933536813236571
y[1] (numeric) = 1.1055643142198657933536813236576
absolute error = 5e-31
relative error = 4.5225772356158376943487567191307e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1415.3MB, alloc=4.5MB, time=126.97
x[1] = 1.059
y[1] (analytic) = 1.1049267885517039403047173547126
y[1] (numeric) = 1.104926788551703940304717354713
absolute error = 4e-31
relative error = 3.6201493541875729569180633945842e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.06
y[1] (analytic) = 1.1042889223945322239482590045896
y[1] (numeric) = 1.1042889223945322239482590045899
absolute error = 3e-31
relative error = 2.7166803353372606463065546463095e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.061
y[1] (analytic) = 1.1036507159394543009047376120096
y[1] (numeric) = 1.10365071593945430090473761201
absolute error = 4e-31
relative error = 3.6243350747025999309489406828149e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.062
y[1] (analytic) = 1.1030121693775283307599607191176
y[1] (numeric) = 1.1030121693775283307599607191179
absolute error = 3e-31
relative error = 2.7198249332942663418376974562740e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.063
y[1] (analytic) = 1.1023732828997669831749028958256
y[1] (numeric) = 1.102373282899766983174902895826
absolute error = 4e-31
relative error = 3.6285349636541391089413752008351e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.064
y[1] (analytic) = 1.1017340566971374449946617946923
y[1] (numeric) = 1.1017340566971374449946617946926
absolute error = 3e-31
relative error = 2.7229801799842960963663299035800e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1419.1MB, alloc=4.5MB, time=127.34
x[1] = 1.065
y[1] (analytic) = 1.1010944909605614273565795151178
y[1] (numeric) = 1.1010944909605614273565795151181
absolute error = 3e-31
relative error = 2.7245618106606736522953235143480e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.066
y[1] (analytic) = 1.100454585880915172797529355638
y[1] (numeric) = 1.1004545858809151727975293556385
absolute error = 5e-31
relative error = 4.5435768673702188253063678811444e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.067
y[1] (analytic) = 1.0998143416490294623603680330872
y[1] (numeric) = 1.0998143416490294623603680330877
absolute error = 5e-31
relative error = 4.5462218582303138667491026014401e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.068
y[1] (analytic) = 1.099173758455689622699553447395
y[1] (numeric) = 1.0991737584556896226995534473955
absolute error = 5e-31
relative error = 4.5488713331592533693693269044020e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.069
y[1] (analytic) = 1.0985328364916355331859280707804
y[1] (numeric) = 1.0985328364916355331859280707808
absolute error = 4e-31
relative error = 3.6412202413309079686043043111404e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.07
y[1] (analytic) = 1.0978915759475616330106680400931
y[1] (numeric) = 1.0978915759475616330106680400936
absolute error = 5e-31
relative error = 4.5541837732789143470393658333407e-29 %
Correct digits = 30
h = 0.001
memory used=1422.9MB, alloc=4.5MB, time=127.71
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.071
y[1] (analytic) = 1.0972499770141169282883980310531
y[1] (numeric) = 1.0972499770141169282883980310536
absolute error = 5e-31
relative error = 4.5568467575695117295064405503520e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.072
y[1] (analytic) = 1.0966080398819049991594719931259
y[1] (numeric) = 1.0966080398819049991594719931263
absolute error = 4e-31
relative error = 3.6476114113031349584886896071969e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.073
y[1] (analytic) = 1.0959657647414840068914198237715
y[1] (numeric) = 1.095965764741484006891419823772
absolute error = 5e-31
relative error = 4.5621863025798056043819762018617e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.074
y[1] (analytic) = 1.0953231517833667009795600607954
y[1] (numeric) = 1.0953231517833667009795600607959
absolute error = 5e-31
relative error = 4.5648628825741294162181543911029e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.075
y[1] (analytic) = 1.0946802011980204262467786715221
y[1] (numeric) = 1.0946802011980204262467786715226
absolute error = 5e-31
relative error = 4.5675440137932420570816004811372e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1426.7MB, alloc=4.5MB, time=128.08
x[1] = 1.076
y[1] (analytic) = 1.0940369131758671299424740175103
y[1] (numeric) = 1.0940369131758671299424740175107
absolute error = 4e-31
relative error = 3.6561837647583993856975744655466e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.077
y[1] (analytic) = 1.0933932879072833688406680735174
y[1] (numeric) = 1.0933932879072833688406680735179
absolute error = 5e-31
relative error = 4.5729199687788697437718440932177e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.078
y[1] (analytic) = 1.0927493255826003163372839794199
y[1] (numeric) = 1.0927493255826003163372839794204
absolute error = 5e-31
relative error = 4.5756148120560452993723751115311e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.079
y[1] (analytic) = 1.0921050263921037695465900037842
y[1] (numeric) = 1.0921050263921037695465900037847
absolute error = 5e-31
relative error = 4.5783142455795508134026348999892e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.08
y[1] (analytic) = 1.0914603905260341563968099977819
y[1] (numeric) = 1.0914603905260341563968099977823
absolute error = 4e-31
relative error = 3.6648146233434841655214050656759e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.081
y[1] (analytic) = 1.0908154181745865427249004181332
y[1] (numeric) = 1.0908154181745865427249004181337
absolute error = 5e-31
relative error = 4.5837269227154827066883803997475e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1430.5MB, alloc=4.5MB, time=128.46
x[1] = 1.082
y[1] (analytic) = 1.0901701095279106393704939977593
y[1] (numeric) = 1.0901701095279106393704939977597
absolute error = 4e-31
relative error = 3.6691521488624997175980870733324e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.083
y[1] (analytic) = 1.0895244647761108092690101428131
y[1] (numeric) = 1.0895244647761108092690101428135
absolute error = 4e-31
relative error = 3.6713264633502014209371091906608e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.084
y[1] (analytic) = 1.0888784841092460745439321347591
y[1] (numeric) = 1.0888784841092460745439321347597
absolute error = 6e-31
relative error = 5.5102567343942724852649023913386e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.085
y[1] (analytic) = 1.0882321677173301235982512161603
y[1] (numeric) = 1.0882321677173301235982512161608
absolute error = 5e-31
relative error = 4.5946077944819190617610153563146e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.086
y[1] (analytic) = 1.0875855157903313182050776388251
y[1] (numeric) = 1.0875855157903313182050776388255
absolute error = 4e-31
relative error = 3.6778717093278525356029186958937e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1434.3MB, alloc=4.5MB, time=128.82
x[1] = 1.087
y[1] (analytic) = 1.0869385285181727005974187529657
y[1] (numeric) = 1.0869385285181727005974187529662
absolute error = 5e-31
relative error = 4.6000761485716385601715105894424e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.088
y[1] (analytic) = 1.0862912060907320005571242160071
y[1] (numeric) = 1.0862912060907320005571242160076
absolute error = 5e-31
relative error = 4.6028173402909580163869795657019e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.089
y[1] (analytic) = 1.0856435486978416425029983996819
y[1] (numeric) = 1.0856435486978416425029983996824
absolute error = 5e-31
relative error = 4.6055632219223083307656105812066e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.09
y[1] (analytic) = 1.0849955565292887525780800740422
y[1] (numeric) = 1.0849955565292887525780800740427
absolute error = 5e-31
relative error = 4.6083138036013037231311189462747e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.091
y[1] (analytic) = 1.0843472297748151657360894470097
y[1] (numeric) = 1.0843472297748151657360894470102
absolute error = 5e-31
relative error = 4.6110690954947547844507578064969e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.092
y[1] (analytic) = 1.083698568624117432827042638082
y[1] (numeric) = 1.0836985686241174328270426380826
absolute error = 6e-31
relative error = 5.5365949293609425403282687222861e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1438.1MB, alloc=4.5MB, time=129.20
x[1] = 1.093
y[1] (analytic) = 1.0830495732668468276820336648057
y[1] (numeric) = 1.0830495732668468276820336648061
absolute error = 4e-31
relative error = 3.6932750805991604051765845150820e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.094
y[1] (analytic) = 1.0824002438926093541971840206184
y[1] (numeric) = 1.0824002438926093541971840206189
absolute error = 5e-31
relative error = 4.6193633346003536300945082687459e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.095
y[1] (analytic) = 1.081750580690965753416759922663
y[1] (numeric) = 1.0817505806909657534167599226635
absolute error = 5e-31
relative error = 4.6221375696477659681887295562703e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.096
y[1] (analytic) = 1.0811005838514315106154573081596
y[1] (numeric) = 1.0811005838514315106154573081602
absolute error = 6e-31
relative error = 5.5498998794588943088820526473540e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.097
y[1] (analytic) = 1.0804502535634768623798546579271
y[1] (numeric) = 1.0804502535634768623798546579275
absolute error = 4e-31
relative error = 3.7021602677286043898153664541722e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1442.0MB, alloc=4.5MB, time=129.57
x[1] = 1.098
y[1] (analytic) = 1.0797995900165268036890337256277
y[1] (numeric) = 1.0797995900165268036890337256282
absolute error = 5e-31
relative error = 4.6304888853712871100527239021370e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.099
y[1] (analytic) = 1.0791485933999610949943682513153
y[1] (numeric) = 1.0791485933999610949943682513157
absolute error = 4e-31
relative error = 3.7066257830143822400287464984979e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.1
y[1] (analytic) = 1.078497263903114269298480737846
y[1] (numeric) = 1.0784972639031142692984807378465
absolute error = 5e-31
relative error = 4.6360803753037337651996824182363e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.101
y[1] (analytic) = 1.0778456017152756392333673687203
y[1] (numeric) = 1.0778456017152756392333673687208
absolute error = 5e-31
relative error = 4.6388833354638516142137858736266e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.102
y[1] (analytic) = 1.0771936070256893041376911459046
y[1] (numeric) = 1.0771936070256893041376911459051
absolute error = 5e-31
relative error = 4.6416911197661407817017497684947e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.103
y[1] (analytic) = 1.0765412800235541571332433261854
y[1] (numeric) = 1.0765412800235541571332433261859
absolute error = 5e-31
relative error = 4.6445037387610465147525844975254e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1445.8MB, alloc=4.5MB, time=129.94
x[1] = 1.104
y[1] (analytic) = 1.0758886208980238922005732345954
y[1] (numeric) = 1.075888620898023892200573234596
absolute error = 6e-31
relative error = 5.5767854436381281084064144682739e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.105
y[1] (analytic) = 1.0752356298382070112537865334496
y[1] (numeric) = 1.0752356298382070112537865334503
absolute error = 7e-31
relative error = 6.5102009324721734399771134569525e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.106
y[1] (analytic) = 1.0745823070331668312145120255199
y[1] (numeric) = 1.0745823070331668312145120255205
absolute error = 6e-31
relative error = 5.5835648518776615656510076525752e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.107
y[1] (analytic) = 1.0739286526719214910850370698718
y[1] (numeric) = 1.0739286526719214910850370698725
absolute error = 7e-31
relative error = 6.5181238833548995219648760008540e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.108
y[1] (analytic) = 1.0732746669434439590206116888829
y[1] (numeric) = 1.0732746669434439590206116888834
absolute error = 5e-31
relative error = 4.6586397256905293370111379865936e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.109
y[1] (analytic) = 1.0726203500366620394009214449499
y[1] (numeric) = 1.0726203500366620394009214449505
absolute error = 6e-31
relative error = 5.5937778914924751283546872792892e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1449.6MB, alloc=4.5MB, time=130.31
TOP MAIN SOLVE Loop
x[1] = 1.11
y[1] (analytic) = 1.0719657021404583799007291653952
y[1] (numeric) = 1.0719657021404583799007291653957
absolute error = 5e-31
relative error = 4.6643283362669153742783512916384e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.111
y[1] (analytic) = 1.0713107234436704785596855940654
y[1] (numeric) = 1.0713107234436704785596855940658
absolute error = 4e-31
relative error = 3.7337440132608921966490751574939e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.112
y[1] (analytic) = 1.0706554141350906908513090481196
y[1] (numeric) = 1.07065541413509069085130904812
absolute error = 4e-31
relative error = 3.7360293024168999536724583997760e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.113
y[1] (analytic) = 1.0699997744034662367511341584911
y[1] (numeric) = 1.0699997744034662367511341584915
absolute error = 4e-31
relative error = 3.7383185451885101844851577798616e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.114
y[1] (analytic) = 1.069343804437499207804029772503
y[1] (numeric) = 1.0693438044374992078040297725034
absolute error = 4e-31
relative error = 3.7406117503098987634261114324716e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1453.4MB, alloc=4.5MB, time=130.68
x[1] = 1.115
y[1] (analytic) = 1.0686875044258465741906860971125
y[1] (numeric) = 1.0686875044258465741906860971129
absolute error = 4e-31
relative error = 3.7429089265425667933365388829713e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.116
y[1] (analytic) = 1.068030874557120191793271161251
y[1] (numeric) = 1.0680308745571201917932711612514
absolute error = 4e-31
relative error = 3.7452100826754450550029353444832e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.117
y[1] (analytic) = 1.0673739150198868092602566757218
y[1] (numeric) = 1.0673739150198868092602566757222
absolute error = 4e-31
relative error = 3.7475152275249989404793567097927e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.118
y[1] (analytic) = 1.0667166260026680750704133691106
y[1] (numeric) = 1.0667166260026680750704133691109
absolute error = 3e-31
relative error = 2.8123682774515004046727122658184e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.119
y[1] (analytic) = 1.066059007693940544595975878158
y[1] (numeric) = 1.0660590076939405445959758781583
absolute error = 3e-31
relative error = 2.8141031390837259115385852087805e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.12
y[1] (analytic) = 1.0654010602821356871649772710374
y[1] (numeric) = 1.0654010602821356871649772710377
absolute error = 3e-31
relative error = 2.8158410122152035038066682623145e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1457.2MB, alloc=4.5MB, time=131.06
x[1] = 1.121
y[1] (analytic) = 1.0647427839556398931227532819743
y[1] (numeric) = 1.0647427839556398931227532819747
absolute error = 4e-31
relative error = 3.7567758713889071815195073379623e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.122
y[1] (analytic) = 1.0640841789027944808926163356382
y[1] (numeric) = 1.0640841789027944808926163356385
absolute error = 3e-31
relative error = 2.8193258197799537341345626811357e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.123
y[1] (analytic) = 1.0634252453118957040356994397301
y[1] (numeric) = 1.0634252453118957040356994397305
absolute error = 4e-31
relative error = 3.7614303568906021510297636716306e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.124
y[1] (analytic) = 1.0627659833711947583099700241872
y[1] (numeric) = 1.0627659833711947583099700241875
absolute error = 3e-31
relative error = 2.8228227539648142747246237250482e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.125
y[1] (analytic) = 1.0621063932688977887284138054107
y[1] (numeric) = 1.0621063932688977887284138054111
absolute error = 4e-31
relative error = 3.7661010472679677734148428452890e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1461.0MB, alloc=4.5MB, time=131.43
x[1] = 1.126
y[1] (analytic) = 1.06144647519316589661638875393
y[1] (numeric) = 1.0614464751931658966163887539304
absolute error = 4e-31
relative error = 3.7684424919043284092153606565172e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.127
y[1] (analytic) = 1.0607862293321151466681492438956
y[1] (numeric) = 1.060786229332115146668149243896
absolute error = 4e-31
relative error = 3.7707880149598587835335739024581e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.128
y[1] (analytic) = 1.0601256558738165740025404627991
y[1] (numeric) = 1.0601256558738165740025404627995
absolute error = 4e-31
relative error = 3.7731376255609716442455412645783e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.129
y[1] (analytic) = 1.0594647550062961912178631598052
y[1] (numeric) = 1.0594647550062961912178631598057
absolute error = 5e-31
relative error = 4.7193641660786403232296647470933e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.13
y[1] (analytic) = 1.0588035269175349954459088110772
y[1] (numeric) = 1.0588035269175349954459088110776
absolute error = 4e-31
relative error = 3.7778491460498698801875751862460e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.131
y[1] (analytic) = 1.0581419717954689754051652804698
y[1] (numeric) = 1.0581419717954689754051652804702
absolute error = 4e-31
relative error = 3.7802110743350897380512346007031e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1464.8MB, alloc=4.5MB, time=131.80
x[1] = 1.132
y[1] (analytic) = 1.0574800898279891184531930539597
y[1] (numeric) = 1.0574800898279891184531930539601
absolute error = 4e-31
relative error = 3.7825771269609855502124370247725e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.133
y[1] (analytic) = 1.0568178812029414176381721261743
y[1] (numeric) = 1.0568178812029414176381721261747
absolute error = 4e-31
relative error = 3.7849473131992525650439415746288e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.134
y[1] (analytic) = 1.0561553461081268787496196173761
y[1] (numeric) = 1.0561553461081268787496196173764
absolute error = 3e-31
relative error = 2.8404912317632358497703224446606e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.135
y[1] (analytic) = 1.0554924847313015273682781992512
y[1] (numeric) = 1.0554924847313015273682781992515
absolute error = 3e-31
relative error = 2.8422750928100781089286991123610e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.136
y[1] (analytic) = 1.0548292972601764159151754078475
y[1] (numeric) = 1.054829297260176415915175407848
absolute error = 5e-31
relative error = 4.7401034584335562601629462522586e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1468.7MB, alloc=4.5MB, time=132.17
x[1] = 1.137
y[1] (analytic) = 1.0541657838824176306998539219994
y[1] (numeric) = 1.0541657838824176306998539219999
absolute error = 5e-31
relative error = 4.7430869759264576969290987908058e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.138
y[1] (analytic) = 1.0535019447856462989677728855683
y[1] (numeric) = 1.0535019447856462989677728855688
absolute error = 5e-31
relative error = 4.7460757189369393102860584202034e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.139
y[1] (analytic) = 1.0528377801574385959468803518284
y[1] (numeric) = 1.0528377801574385959468803518288
absolute error = 4e-31
relative error = 3.7992557594217890885275173952710e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.14
y[1] (analytic) = 1.052173290185325751893356928312
y[1] (numeric) = 1.0521732901853257518933569283124
absolute error = 4e-31
relative error = 3.8016551430377551231862962890416e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.141
y[1] (analytic) = 1.0515084750567940591365307004311
y[1] (numeric) = 1.0515084750567940591365307004316
absolute error = 5e-31
relative error = 4.7550734193844135008240769256795e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.142
y[1] (analytic) = 1.0508433349592848791229635121793
y[1] (numeric) = 1.0508433349592848791229635121797
absolute error = 4e-31
relative error = 3.8064665463715204945843921371554e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1472.5MB, alloc=4.5MB, time=132.54
x[1] = 1.143
y[1] (analytic) = 1.050177870080194649459708682214
y[1] (numeric) = 1.0501778700801946494597086822144
absolute error = 4e-31
relative error = 3.8088785852005701824827532544561e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.144
y[1] (analytic) = 1.0495120806068748909567402336165
y[1] (numeric) = 1.0495120806068748909567402336169
absolute error = 4e-31
relative error = 3.8112948615960864847452643459568e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.145
y[1] (analytic) = 1.048845966726632214668553715614
y[1] (numeric) = 1.0488459667266322146685537156144
absolute error = 4e-31
relative error = 3.8137153851901562669915825844410e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.146
y[1] (analytic) = 1.0481795286267283289349386955473
y[1] (numeric) = 1.0481795286267283289349386955477
absolute error = 4e-31
relative error = 3.8161401656456668089050782261752e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.147
y[1] (analytic) = 1.0475127664943800464209229993599
y[1] (numeric) = 1.0475127664943800464209229993602
absolute error = 3e-31
relative error = 2.8639269094923199070005952968398e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.148
y[1] (analytic) = 1.0468456805167592911558887788763
y[1] (numeric) = 1.0468456805167592911558887788767
absolute error = 4e-31
relative error = 3.8210025359472863641363327455130e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1476.3MB, alloc=4.5MB, time=132.92
x[1] = 1.149
y[1] (analytic) = 1.0461782708809931055718604841362
y[1] (numeric) = 1.0461782708809931055718604841365
absolute error = 3e-31
relative error = 2.8675801089556961399466146441994e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.15
y[1] (analytic) = 1.0455105377741636575409648190359
y[1] (numeric) = 1.0455105377741636575409648190363
absolute error = 4e-31
relative error = 3.8258820504246540735944049202495e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.151
y[1] (analytic) = 1.0448424813833082474120627585346
y[1] (numeric) = 1.044842481383308247412062758535
absolute error = 4e-31
relative error = 3.8283282612171759540802731726389e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.152
y[1] (analytic) = 1.044174101895419315046553705664
y[1] (numeric) = 1.0441741018954193150465537056644
absolute error = 4e-31
relative error = 3.8307787875020725897127251698631e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.153
y[1] (analytic) = 1.043505399497444446853351866584
y[1] (numeric) = 1.0435053994974444468533518665843
absolute error = 3e-31
relative error = 2.8749252293709353482040099405731e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1480.1MB, alloc=4.5MB, time=133.29
x[1] = 1.154
y[1] (analytic) = 1.0428363743762863828230349219142
y[1] (numeric) = 1.0428363743762863828230349219145
absolute error = 3e-31
relative error = 2.8767696195812889488188859121394e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.155
y[1] (analytic) = 1.0421670267188030235611650725691
y[1] (numeric) = 1.0421670267188030235611650725694
absolute error = 3e-31
relative error = 2.8786172687168104698516664015567e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.156
y[1] (analytic) = 1.0414973567118074373207825383149
y[1] (numeric) = 1.0414973567118074373207825383153
absolute error = 4e-31
relative error = 3.8406242456809608050217381208952e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.157
y[1] (analytic) = 1.0408273645420678670340715872639
y[1] (numeric) = 1.0408273645420678670340715872642
absolute error = 3e-31
relative error = 2.8823223737203604677449871970309e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.158
y[1] (analytic) = 1.0401570503963077373431991745109
y[1] (numeric) = 1.0401570503963077373431991745113
absolute error = 4e-31
relative error = 3.8455731261697160208449934011633e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.159
y[1] (analytic) = 1.0394864144612056616303262681173
y[1] (numeric) = 1.0394864144612056616303262681178
absolute error = 5e-31
relative error = 4.8100676742289481773069073359356e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1483.9MB, alloc=4.5MB, time=133.66
x[1] = 1.16
y[1] (analytic) = 1.0388154569233954490467919406335
y[1] (numeric) = 1.0388154569233954490467919406339
absolute error = 4e-31
relative error = 3.8505395480411771087126431581250e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.161
y[1] (analytic) = 1.0381441779694661115414703043505
y[1] (numeric) = 1.0381441779694661115414703043509
absolute error = 4e-31
relative error = 3.8530293622834804057201037405181e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.162
y[1] (analytic) = 1.0374725777859618708883003684652
y[1] (numeric) = 1.0374725777859618708883003684657
absolute error = 5e-31
relative error = 4.8194044903532248546310286215499e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.163
y[1] (analytic) = 1.0368006565593821657129888963325
y[1] (numeric) = 1.036800656559382165712988896333
absolute error = 5e-31
relative error = 4.8225278103049000667882745914556e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.164
y[1] (analytic) = 1.0361284144761816585188863409772
y[1] (numeric) = 1.0361284144761816585188863409775
absolute error = 3e-31
relative error = 2.8953940053045070535904236241212e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1487.7MB, alloc=4.5MB, time=134.03
x[1] = 1.165
y[1] (analytic) = 1.035455851722770242712035937028
y[1] (numeric) = 1.0354558517227702427120359370284
absolute error = 4e-31
relative error = 3.8630328790405519553255055194412e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.166
y[1] (analytic) = 1.0347829684855130496253960272347
y[1] (numeric) = 1.0347829684855130496253960272351
absolute error = 4e-31
relative error = 3.8655448744525794316520964873900e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.167
y[1] (analytic) = 1.034109764950730455542235701716
y[1] (numeric) = 1.0341097649507304555422357017162
absolute error = 2e-31
relative error = 1.9340306684902920436147917520505e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.168
y[1] (analytic) = 1.0334362413046980887187038280864
y[1] (numeric) = 1.0334362413046980887187038280868
absolute error = 4e-31
relative error = 3.8705822769966521601506632328372e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.169
y[1] (analytic) = 1.0327623977336468364055715506032
y[1] (numeric) = 1.0327623977336468364055715506037
absolute error = 5e-31
relative error = 4.8413846311332474680974834414987e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.17
y[1] (analytic) = 1.0320882344237628518691483364618
y[1] (numeric) = 1.0320882344237628518691483364622
absolute error = 4e-31
relative error = 3.8756376311500986887642823092924e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1491.5MB, alloc=4.5MB, time=134.39
x[1] = 1.171
y[1] (analytic) = 1.0314137515611875614113716473708
y[1] (numeric) = 1.0314137515611875614113716473712
absolute error = 4e-31
relative error = 3.8781720662008296953906481467949e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.172
y[1] (analytic) = 1.0307389493320176713890703145268
y[1] (numeric) = 1.0307389493320176713890703145273
absolute error = 5e-31
relative error = 4.8508887757082508429803872269607e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.173
y[1] (analytic) = 1.0300638279223051752324016951029
y[1] (numeric) = 1.0300638279223051752324016951033
absolute error = 4e-31
relative error = 3.8832545047894923054007157477603e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.174
y[1] (analytic) = 1.0293883875180573604624626883586
y[1] (numeric) = 1.0293883875180573604624626883591
absolute error = 5e-31
relative error = 4.8572531618074920519732456279264e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.175
y[1] (analytic) = 1.0287126283052368157080746894768
y[1] (numeric) = 1.0287126283052368157080746894773
absolute error = 5e-31
relative error = 4.8604438814339251862506676170936e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.176
y[1] (analytic) = 1.0280365504697614377217425592198
y[1] (numeric) = 1.0280365504697614377217425592203
absolute error = 5e-31
relative error = 4.8636403031733155193946085302297e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1495.4MB, alloc=4.5MB, time=134.76
TOP MAIN SOLVE Loop
x[1] = 1.177
y[1] (analytic) = 1.0273601541975044383947876874978
y[1] (numeric) = 1.0273601541975044383947876874983
absolute error = 5e-31
relative error = 4.8668424403763444158819810673662e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.178
y[1] (analytic) = 1.0266834396742943517716552289315
y[1] (numeric) = 1.026683439674294351771655228932
absolute error = 5e-31
relative error = 4.8700503064373989434979511470858e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.179
y[1] (analytic) = 1.0260064070859150410633955884878
y[1] (numeric) = 1.0260064070859150410633955884882
absolute error = 4e-31
relative error = 3.8986111318357982383614064917780e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.18
y[1] (analytic) = 1.0253290566181057056603202352588
y[1] (numeric) = 1.0253290566181057056603202352593
absolute error = 5e-31
relative error = 4.8764832789307180832840616066539e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.181
y[1] (analytic) = 1.0246513884565608881438319224516
y[1] (numeric) = 1.024651388456560888143831922452
absolute error = 4e-31
relative error = 3.9037667298974983623324343021836e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1499.2MB, alloc=4.5MB, time=135.13
x[1] = 1.182
y[1] (analytic) = 1.0239734027869304812974293916441
y[1] (numeric) = 1.0239734027869304812974293916446
absolute error = 5e-31
relative error = 4.8829393286891901162179492318269e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.183
y[1] (analytic) = 1.0232950997948197351168866393649
y[1] (numeric) = 1.0232950997948197351168866393654
absolute error = 5e-31
relative error = 4.8861760414982412155204607476361e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.184
y[1] (analytic) = 1.0226164796657892638196068240388
y[1] (numeric) = 1.0226164796657892638196068240393
absolute error = 5e-31
relative error = 4.8894185644593720784961806286346e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.185
y[1] (analytic) = 1.0219375425853550528531508913426
y[1] (numeric) = 1.0219375425853550528531508913431
absolute error = 5e-31
relative error = 4.8926669112778838509057061097810e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.186
y[1] (analytic) = 1.0212582887389884659029409960035
y[1] (numeric) = 1.021258288738988465902940996004
absolute error = 5e-31
relative error = 4.8959210957042150147071278228314e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.187
y[1] (analytic) = 1.0205787183121162518991387980685
y[1] (numeric) = 1.0205787183121162518991387980689
absolute error = 4e-31
relative error = 3.9193449052272994372595470185830e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1503.0MB, alloc=4.5MB, time=135.50
x[1] = 1.188
y[1] (analytic) = 1.0198988314901205520226987116671
y[1] (numeric) = 1.0198988314901205520226987116675
absolute error = 4e-31
relative error = 3.9219576260870995775193292379233e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.189
y[1] (analytic) = 1.019218628458338906710596184284
y[1] (numeric) = 1.0192186284583389067105961842843
absolute error = 3e-31
relative error = 2.9434312876892502416299506003112e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.19
y[1] (analytic) = 1.0185381094020642626602310845493
y[1] (numeric) = 1.0185381094020642626602310845497
absolute error = 4e-31
relative error = 3.9271971888692623850915211513286e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.191
y[1] (analytic) = 1.0178572745065449798330062765528
y[1] (numeric) = 1.0178572745065449798330062765532
absolute error = 4e-31
relative error = 3.9298240531209951880390673575102e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.192
y[1] (analytic) = 1.0171761239569848384570814586763
y[1] (numeric) = 1.0171761239569848384570814586768
absolute error = 5e-31
relative error = 4.9155695677845501798602055063731e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1506.8MB, alloc=4.5MB, time=135.87
x[1] = 1.193
y[1] (analytic) = 1.0164946579385430460293023449383
y[1] (numeric) = 1.0164946579385430460293023449388
absolute error = 5e-31
relative error = 4.9188650043080683461475077216952e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.194
y[1] (analytic) = 1.0158128766363342443163052668334
y[1] (numeric) = 1.015812876636334244316305266834
absolute error = 6e-31
relative error = 5.9065996681079954766349695334253e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.195
y[1] (analytic) = 1.0151307802354285163547972736478
y[1] (numeric) = 1.0151307802354285163547972736483
absolute error = 5e-31
relative error = 4.9254737392953477631849373499281e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.196
y[1] (analytic) = 1.0144483689208513934510118092206
y[1] (numeric) = 1.014448368920851393451011809221
absolute error = 4e-31
relative error = 3.9430296529089153699542112545344e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.197
y[1] (analytic) = 1.0137656428775838621793400431203
y[1] (numeric) = 1.0137656428775838621793400431207
absolute error = 4e-31
relative error = 3.9456851078972850256331675625091e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.198
y[1] (analytic) = 1.0130826022905623713801379341953
y[1] (numeric) = 1.0130826022905623713801379341956
absolute error = 3e-31
relative error = 2.9612590258850082938923224426816e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1510.6MB, alloc=4.5MB, time=136.24
x[1] = 1.199
y[1] (analytic) = 1.0123992473446788391567091044516
y[1] (numeric) = 1.012399247344678839156709104452
absolute error = 4e-31
relative error = 3.9510104442404531999648623264992e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.2
y[1] (analytic) = 1.011715578224780659871463601209
y[1] (numeric) = 1.0117155782247806598714636012093
absolute error = 3e-31
relative error = 2.9652602614501472485388647636906e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.201
y[1] (analytic) = 1.0110315951156707111412526254726
y[1] (numeric) = 1.0110315951156707111412526254729
absolute error = 3e-31
relative error = 2.9672663193644054167205645034951e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.202
y[1] (analytic) = 1.0103472982021073608318793044608
y[1] (numeric) = 1.0103472982021073608318793044611
absolute error = 3e-31
relative error = 2.9692760156219940332846228499236e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.203
y[1] (analytic) = 1.0096626876688044740517855862144
y[1] (numeric) = 1.0096626876688044740517855862147
absolute error = 3e-31
relative error = 2.9712893589508159996321943431681e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.204
y[1] (analytic) = 1.0089777637004314201449153342135
y[1] (numeric) = 1.0089777637004314201449153342138
memory used=1514.4MB, alloc=4.5MB, time=136.61
absolute error = 3e-31
relative error = 2.9733063581079167996139134319061e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.205
y[1] (analytic) = 1.0082925264816130796827536999175
y[1] (numeric) = 1.0082925264816130796827536999177
absolute error = 2e-31
relative error = 1.9835513479197362677064002649102e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.206
y[1] (analytic) = 1.0076069761969298514555428511392
y[1] (numeric) = 1.0076069761969298514555428511395
absolute error = 3e-31
relative error = 2.9773513590815697559492758455809e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.207
y[1] (analytic) = 1.0069211130309176594626741341598
y[1] (numeric) = 1.00692111303091765946267413416
absolute error = 2e-31
relative error = 1.9862529190393385947826473593886e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.208
y[1] (analytic) = 1.0062349371680679599022567474795
y[1] (numeric) = 1.0062349371680679599022567474797
absolute error = 2e-31
relative error = 1.9876073927911597452384485104485e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.209
y[1] (analytic) = 1.0055484487928277481598630051011
y[1] (numeric) = 1.0055484487928277481598630051014
absolute error = 3e-31
relative error = 2.9834464998693338242347633227556e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1518.3MB, alloc=4.5MB, time=136.99
x[1] = 1.21
y[1] (analytic) = 1.0048616480895995657964502672288
y[1] (numeric) = 1.004861648089599565796450267229
absolute error = 2e-31
relative error = 1.9903237463608202674003399633547e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.211
y[1] (analytic) = 1.0041745352427415075354596162632
y[1] (numeric) = 1.0041745352427415075354596162635
absolute error = 3e-31
relative error = 2.9875284571668637648755250480440e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.212
y[1] (analytic) = 1.0034871104365672282490913559694
y[1] (numeric) = 1.0034871104365672282490913559698
absolute error = 4e-31
relative error = 3.9861000289877160044648805868860e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.213
y[1] (analytic) = 1.0027993738553459499437574116816
y[1] (numeric) = 1.002799373855345949943757411682
absolute error = 4e-31
relative error = 3.9888337630503955209153554990233e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.214
y[1] (analytic) = 1.0021113256833024687447107094087
y[1] (numeric) = 1.002111325683302468744710709409
absolute error = 3e-31
relative error = 2.9936793678630580263216439339249e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.215
y[1] (analytic) = 1.0014229661046171618798516116952
y[1] (numeric) = 1.0014229661046171618798516116955
absolute error = 3e-31
relative error = 2.9957371675522313513555870074982e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1522.1MB, alloc=4.5MB, time=137.36
x[1] = 1.216
y[1] (analytic) = 1.0007342953034259946627114880879
y[1] (numeric) = 1.0007342953034259946627114880883
absolute error = 4e-31
relative error = 3.9970649739621310615162393204709e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.217
y[1] (analytic) = 1.0000453134638205274746134980502
y[1] (numeric) = 1.0000453134638205274746134980505
absolute error = 3e-31
relative error = 2.9998640657681893127009333778238e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.218
y[1] (analytic) = 0.99935602076984792274601066416068
y[1] (numeric) = 0.999356020769847922746010664161
absolute error = 3.2e-31
relative error = 3.2020620614612389821599878298470e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.219
y[1] (analytic) = 0.99866641740551095193700131342909
y[1] (numeric) = 0.99866641740551095193700131342944
absolute error = 3.5e-31
relative error = 3.5046737719416236287750438676878e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.22
y[1] (analytic) = 0.9979765035547680025170219645519
y[1] (numeric) = 0.99797650355476800251702196455213
absolute error = 2.3e-31
relative error = 2.3046634783559091928225091417747e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1525.9MB, alloc=4.5MB, time=137.73
x[1] = 1.221
y[1] (analytic) = 0.99728627940153308494371773892639
y[1] (numeric) = 0.99728627940153308494371773892677
absolute error = 3.8e-31
relative error = 3.8103401986843362008565447293540e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.222
y[1] (analytic) = 0.99659574512967583964099037323824
y[1] (numeric) = 0.99659574512967583964099037323849
absolute error = 2.5e-31
relative error = 2.5085397085201312062845368995507e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.223
y[1] (analytic) = 0.99590490092302154397622391142332
y[1] (numeric) = 0.99590490092302154397622391142348
absolute error = 1.6e-31
relative error = 1.6065791005919268778090222332581e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.224
y[1] (analytic) = 0.99521374696535111923668815380977
y[1] (numeric) = 0.99521374696535111923668815381003
absolute error = 2.6e-31
relative error = 2.6125041057039582304445389622980e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.225
y[1] (analytic) = 0.99452228344040113760511994123074
y[1] (numeric) = 0.99452228344040113760511994123095
absolute error = 2.1e-31
relative error = 2.1115665631295499926659892348996e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.226
y[1] (analytic) = 0.99383051053186382913448235189475
y[1] (numeric) = 0.993830510531863829134482351895
absolute error = 2.5e-31
relative error = 2.5155194708825010634399682503417e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1529.7MB, alloc=4.5MB, time=138.10
x[1] = 1.227
y[1] (analytic) = 0.99313842842338708872190188879856
y[1] (numeric) = 0.99313842842338708872190188879885
absolute error = 2.9e-31
relative error = 2.9200360362691498265546550180986e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.228
y[1] (analytic) = 0.99244603729857448308178373545482
y[1] (numeric) = 0.99244603729857448308178373545496
absolute error = 1.4e-31
relative error = 1.4106560431343775934841672301919e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.229
y[1] (analytic) = 0.99175333734098525771810515770435
y[1] (numeric) = 0.99175333734098525771810515770457
absolute error = 2.2e-31
relative error = 2.2182935183242994351122476041263e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.23
y[1] (analytic) = 0.99106032873413434389588712937858
y[1] (numeric) = 0.99106032873413434389588712937882
absolute error = 2.4e-31
relative error = 2.4216487436899850242061687159239e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.231
y[1] (analytic) = 0.99036701166149236561184425956473
y[1] (numeric) = 0.99036701166149236561184425956493
absolute error = 2.0e-31
relative error = 2.0194533707707950023044679025872e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1533.5MB, alloc=4.5MB, time=138.47
x[1] = 1.232
y[1] (analytic) = 0.98967338630648564656421309922789
y[1] (numeric) = 0.98967338630648564656421309922818
absolute error = 2.9e-31
relative error = 2.9302596595256098698902089314538e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.233
y[1] (analytic) = 0.988979452852496217121758904934
y[1] (numeric) = 0.98897945285249621712175890493419
absolute error = 1.9e-31
relative error = 1.9211723706896670908266932122632e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.234
y[1] (analytic) = 0.98828521148286182129196093740982
y[1] (numeric) = 0.98828521148286182129196093741003
absolute error = 2.1e-31
relative error = 2.1248926682299311025191097044772e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.235
y[1] (analytic) = 0.98759066238087592368837637267612
y[1] (numeric) = 0.98759066238087592368837637267632
absolute error = 2.0e-31
relative error = 2.0251305284503353671715344246528e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.236
y[1] (analytic) = 0.98689580572978771649718290347628
y[1] (numeric) = 0.98689580572978771649718290347648
absolute error = 2.0e-31
relative error = 2.0265563886159634053760908183215e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.237
y[1] (analytic) = 0.98620064171280212644290010872283
y[1] (numeric) = 0.9862006417128021264429001087231
absolute error = 2.7e-31
relative error = 2.7377796016343340403720653617032e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1537.3MB, alloc=4.5MB, time=138.84
x[1] = 1.238
y[1] (analytic) = 0.98550517051307982175328966867491
y[1] (numeric) = 0.98550517051307982175328966867518
absolute error = 2.7e-31
relative error = 2.7397116532572926363149751346996e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.239
y[1] (analytic) = 0.98480939231373721912343450355368
y[1] (numeric) = 0.98480939231373721912343450355389
absolute error = 2.1e-31
relative error = 2.1323923354002590164284264817453e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.24
y[1] (analytic) = 0.98411330729784649067899691329815
y[1] (numeric) = 0.98411330729784649067899691329841
absolute error = 2.6e-31
relative error = 2.6419722004766041148720857283588e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.241
y[1] (analytic) = 0.98341691564843557093865579615689
y[1] (numeric) = 0.98341691564843557093865579615708
absolute error = 1.9e-31
relative error = 1.9320391685017916116448891326681e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.242
y[1] (analytic) = 0.98272021754848816377572302380289
y[1] (numeric) = 0.98272021754848816377572302380311
absolute error = 2.2e-31
relative error = 2.2386839720140898850723956650929e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.243
y[1] (analytic) = 0.98202321318094374937893905065764
y[1] (numeric) = 0.98202321318094374937893905065787
absolute error = 2.3e-31
relative error = 2.3421034952421343752261893511430e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1541.1MB, alloc=4.5MB, time=139.21
x[1] = 1.244
y[1] (analytic) = 0.98132590272869759121244783509841
y[1] (numeric) = 0.98132590272869759121244783509866
absolute error = 2.5e-31
relative error = 2.5475736379203299849422733222806e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.245
y[1] (analytic) = 0.98062828637460074297495115022144
y[1] (numeric) = 0.98062828637460074297495115022161
absolute error = 1.7e-31
relative error = 1.7335824630196305813521073644972e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.246
y[1] (analytic) = 0.97993036430146005555804236182413
y[1] (numeric) = 0.97993036430146005555804236182439
absolute error = 2.6e-31
relative error = 2.6532497560205728875043571523031e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.247
y[1] (analytic) = 0.97923213669203818400371975126684
y[1] (numeric) = 0.97923213669203818400371975126706
absolute error = 2.2e-31
relative error = 2.2466582923144861693037664201749e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.248
y[1] (analytic) = 0.97853360372905359446107946086305
y[1] (numeric) = 0.97853360372905359446107946086342
absolute error = 3.7e-31
relative error = 3.7811680517662568615933503720334e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1545.0MB, alloc=4.5MB, time=139.58
x[1] = 1.249
y[1] (analytic) = 0.97783476559518057114218813944864
y[1] (numeric) = 0.97783476559518057114218813944891
absolute error = 2.7e-31
relative error = 2.7612027051999790546204618955126e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.25
y[1] (analytic) = 0.97713562247304922327713536576483
y[1] (numeric) = 0.97713562247304922327713536576507
absolute error = 2.4e-31
relative error = 2.4561585360339223333356760422281e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.251
y[1] (analytic) = 0.97643617454524549206826592729409
y[1] (numeric) = 0.97643617454524549206826592729441
absolute error = 3.2e-31
relative error = 3.2772239327269213032888027370697e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.252
y[1] (analytic) = 0.97573642199431115764359203217303
y[1] (numeric) = 0.9757364219943111576435920321733
absolute error = 2.7e-31
relative error = 2.7671407350782912840982943883852e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.253
y[1] (analytic) = 0.97503636500274384600938553180428
y[1] (numeric) = 0.97503636500274384600938553180448
absolute error = 2.0e-31
relative error = 2.0512055465688931590224508948307e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.254
y[1] (analytic) = 0.97433600375299703600195023178428
y[1] (numeric) = 0.97433600375299703600195023178451
absolute error = 2.3e-31
relative error = 2.3605819667350307035804645318582e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1548.8MB, alloc=4.5MB, time=139.96
x[1] = 1.255
y[1] (analytic) = 0.97363533842748006623857436875511
y[1] (numeric) = 0.97363533842748006623857436875546
absolute error = 3.5e-31
relative error = 3.5947750270166399130206527117615e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.256
y[1] (analytic) = 0.97293436920855814206766333078357
y[1] (numeric) = 0.97293436920855814206766333078383
absolute error = 2.6e-31
relative error = 2.6723282497615871407609744050741e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.257
y[1] (analytic) = 0.97223309627855234251805269886341
y[1] (numeric) = 0.97223309627855234251805269886376
absolute error = 3.5e-31
relative error = 3.5999597353731957122565669515296e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.258
y[1] (analytic) = 0.97153151981973962724750168713489
y[1] (numeric) = 0.9715315198197396272475016871352
absolute error = 3.1e-31
relative error = 3.1908383173972386449046766494720e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.259
y[1] (analytic) = 0.97082964001435284349036705940151
y[1] (numeric) = 0.9708296400143528434903670594018
absolute error = 2.9e-31
relative error = 2.9871358274116209585285147415627e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1552.6MB, alloc=4.5MB, time=140.32
x[1] = 1.26
y[1] (analytic) = 0.97012745704458073300445759952675
y[1] (numeric) = 0.97012745704458073300445759952693
absolute error = 1.8e-31
relative error = 1.8554263019042494077408207179346e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.261
y[1] (analytic) = 0.96942497109256793901706921327996
y[1] (numeric) = 0.96942497109256793901706921328022
absolute error = 2.6e-31
relative error = 2.6820022977845621998683167218545e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.262
y[1] (analytic) = 0.96872218234041501317020073920072
y[1] (numeric) = 0.96872218234041501317020073920087
absolute error = 1.5e-31
relative error = 1.5484315599917692915100888859643e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.263
y[1] (analytic) = 0.96801909097017842246495054603747
y[1] (numeric) = 0.96801909097017842246495054603776
absolute error = 2.9e-31
relative error = 2.9958086850265846058408933186730e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.264
y[1] (analytic) = 0.96731569716387055620509399431996
y[1] (numeric) = 0.96731569716387055620509399432022
absolute error = 2.6e-31
relative error = 2.6878505203865625269886452224217e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.265
y[1] (analytic) = 0.96661200110345973293984183960709
y[1] (numeric) = 0.96661200110345973293984183960743
absolute error = 3.4e-31
relative error = 3.5174402926082505432238175392736e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1556.4MB, alloc=4.5MB, time=140.70
x[1] = 1.266
y[1] (analytic) = 0.96590800297087020740577965495755
y[1] (numeric) = 0.96590800297087020740577965495784
absolute error = 2.9e-31
relative error = 3.0023563228386026914182577241460e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.267
y[1] (analytic) = 0.96520370294798217746798835015401
y[1] (numeric) = 0.96520370294798217746798835015432
absolute error = 3.1e-31
relative error = 3.2117572596663241553573100080902e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.268
y[1] (analytic) = 0.96449910121663179106034586521399
y[1] (numeric) = 0.96449910121663179106034586521428
absolute error = 2.9e-31
relative error = 3.0067420450075091210827123834403e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.269
y[1] (analytic) = 0.96379419795861115312501011570767
y[1] (numeric) = 0.96379419795861115312501011570797
absolute error = 3.0e-31
relative error = 3.1126977173697729286313342927558e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.27
y[1] (analytic) = 0.96308899335566833255108326740178
y[1] (numeric) = 0.9630889933556683325510832674021
absolute error = 3.2e-31
relative error = 3.3226420632742517883714988768916e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.271
y[1] (analytic) = 0.96238348758950736911245741773936
y[1] (numeric) = 0.96238348758950736911245741773963
absolute error = 2.7e-31
relative error = 2.8055344203408144979013373342873e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1560.2MB, alloc=4.5MB, time=141.07
TOP MAIN SOLVE Loop
x[1] = 1.272
y[1] (analytic) = 0.96167768084178828040484176166034
y[1] (numeric) = 0.96167768084178828040484176166058
absolute error = 2.4e-31
relative error = 2.4956386612811899958084352388988e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.273
y[1] (analytic) = 0.9609715732941270687819713192623
y[1] (numeric) = 0.96097157329412706878197131926248
absolute error = 1.8e-31
relative error = 1.8731043144489242019110944469656e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.274
y[1] (analytic) = 0.96026516512809572829099730279276
y[1] (numeric) = 0.96026516512809572829099730279297
absolute error = 2.1e-31
relative error = 2.1868959494327464962875960701389e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.275
y[1] (analytic) = 0.95955845652522225160705920046073
y[1] (numeric) = 0.9595584565252222516070592004609
absolute error = 1.7e-31
relative error = 1.7716481871840134667852353997192e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.276
y[1] (analytic) = 0.95885144766699063696703865454598
y[1] (numeric) = 0.95885144766699063696703865454624
absolute error = 2.6e-31
relative error = 2.7115774881772725780484307248044e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1564.0MB, alloc=4.5MB, time=141.44
x[1] = 1.277
y[1] (analytic) = 0.95814413873484089510249521128252
y[1] (numeric) = 0.9581441387348408951024952112828
absolute error = 2.8e-31
relative error = 2.9223160553872351239984846292242e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.278
y[1] (analytic) = 0.95743652991016905617178401998153
y[1] (numeric) = 0.95743652991016905617178401998177
absolute error = 2.4e-31
relative error = 2.5066935770929678752892248434097e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.279
y[1] (analytic) = 0.95672862137432717669135555885766
y[1] (numeric) = 0.95672862137432717669135555885787
absolute error = 2.1e-31
relative error = 2.1949798020920285688707754943883e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used
Radius of convergence = 6.09
Order of pole = 12.41
TOP MAIN SOLVE Loop
x[1] = 1.28
y[1] (analytic) = 0.95602041330862334646623746501355
y[1] (numeric) = 0.95602041330862334646623746501381
absolute error = 2.6e-31
relative error = 2.7196072006473628766152033365426e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.281
y[1] (analytic) = 0.95531190589432169551969854603245
y[1] (numeric) = 0.95531190589432169551969854603262
absolute error = 1.7e-31
relative error = 1.7795235142689167194057420761349e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.282
y[1] (analytic) = 0.95460309931264240102209505062089
y[1] (numeric) = 0.9546030993126424010220950506212
absolute error = 3.1e-31
relative error = 3.2474229365399513499651094295823e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1567.8MB, alloc=4.5MB, time=141.80
x[1] = 1.283
y[1] (analytic) = 0.95389399374476169421889927574224
y[1] (numeric) = 0.95389399374476169421889927574242
absolute error = 1.8e-31
relative error = 1.8870021321065527404968662932392e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.284
y[1] (analytic) = 0.9531845893718118673579105876666
y[1] (numeric) = 0.95318458937181186735791058766687
absolute error = 2.7e-31
relative error = 2.8326097904912749951112975475439e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.285
y[1] (analytic) = 0.95247488637488128061564893436908
y[1] (numeric) = 0.95247488637488128061564893436932
absolute error = 2.4e-31
relative error = 2.5197514751642410655195572144142e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.286
y[1] (analytic) = 0.95176488493501436902293092668837
y[1] (numeric) = 0.95176488493501436902293092668864
absolute error = 2.7e-31
relative error = 2.8368350658202246206322295370376e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.287
y[1] (analytic) = 0.95105458523321164938962856566366
y[1] (numeric) = 0.95105458523321164938962856566406
absolute error = 4.0e-31
relative error = 4.2058574366887101964733082012895e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1571.7MB, alloc=4.5MB, time=142.17
x[1] = 1.288
y[1] (analytic) = 0.95034398745042972722861069345393
y[1] (numeric) = 0.95034398745042972722861069345426
absolute error = 3.3e-31
relative error = 3.4724268723509224571604263058981e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.289
y[1] (analytic) = 0.9496330917675813036788672452395
y[1] (numeric) = 0.94963309176758130367886724523981
absolute error = 3.1e-31
relative error = 3.2644186758802545319202578636908e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.29
y[1] (analytic) = 0.94892189836553518242781637950302
y[1] (numeric) = 0.94892189836553518242781637950324
absolute error = 2.2e-31
relative error = 2.3184205188955769389159070413601e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.291
y[1] (analytic) = 0.94821040742511627663279456407476
y[1] (numeric) = 0.94821040742511627663279456407504
absolute error = 2.8e-31
relative error = 2.9529310984926375378367071321161e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.292
y[1] (analytic) = 0.94749861912710561584172969532736
y[1] (numeric) = 0.94749861912710561584172969532754
absolute error = 1.8e-31
relative error = 1.8997389164094734317404568463245e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.293
y[1] (analytic) = 0.94678653365224035291299732789246
y[1] (numeric) = 0.9467865336522403529129973278927
absolute error = 2.4e-31
relative error = 2.5348902996560073128507756682099e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1575.5MB, alloc=4.5MB, time=142.54
x[1] = 1.294
y[1] (analytic) = 0.94607415118121377093446009227334
y[1] (numeric) = 0.94607415118121377093446009227356
absolute error = 2.2e-31
relative error = 2.3253991214676001186625545718200e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.295
y[1] (analytic) = 0.94536147189467529014169037771271
y[1] (numeric) = 0.94536147189467529014169037771305
absolute error = 3.4e-31
relative error = 3.5965078978581445202423355478552e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.296
y[1] (analytic) = 0.94464849597323047483537635767734
y[1] (numeric) = 0.94464849597323047483537635767769
absolute error = 3.5e-31
relative error = 3.7050818531120418805005679093189e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.297
y[1] (analytic) = 0.94393522359744104029791143530735
y[1] (numeric) = 0.94393522359744104029791143530765
absolute error = 3.0e-31
relative error = 3.1781841857396419391941026637327e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.298
y[1] (analytic) = 0.94322165494782485970916718617801
y[1] (numeric) = 0.94322165494782485970916718617835
absolute error = 3.4e-31
relative error = 3.6046670283328832265889904782692e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.299
y[1] (analytic) = 0.94250779020485597106144987571263
y[1] (numeric) = 0.94250779020485597106144987571284
absolute error = 2.1e-31
relative error = 2.2280982945971839237954027628215e-29 %
Correct digits = 30
h = 0.001
memory used=1579.3MB, alloc=4.5MB, time=142.92
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.3
y[1] (analytic) = 0.94179362954896458407364062857779
y[1] (numeric) = 0.94179362954896458407364062857799
absolute error = 2.0e-31
relative error = 2.1236074839005039615370867574615e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.301
y[1] (analytic) = 0.94107917316053708710451932739103
y[1] (numeric) = 0.94107917316053708710451932739131
absolute error = 2.8e-31
relative error = 2.9753075828853273192175950426508e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.302
y[1] (analytic) = 0.94036442121991605406527231805908
y[1] (numeric) = 0.94036442121991605406527231805929
absolute error = 2.1e-31
relative error = 2.2331767904146264719450351223569e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.303
y[1] (analytic) = 0.93964937390740025133118399906149
y[1] (numeric) = 0.93964937390740025133118399906177
absolute error = 2.8e-31
relative error = 2.9798349019875279169808833894457e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.304
y[1] (analytic) = 0.93893403140324464465251237199069
y[1] (numeric) = 0.93893403140324464465251237199099
absolute error = 3.0e-31
relative error = 3.1951126486665684986379005554505e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1583.1MB, alloc=4.5MB, time=143.29
x[1] = 1.305
y[1] (analytic) = 0.93821839388766040606454863064738
y[1] (numeric) = 0.9382183938876604060645486306476
absolute error = 2.2e-31
relative error = 2.3448698238412726364026305289443e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.306
y[1] (analytic) = 0.93750246154081492079686086598963
y[1] (numeric) = 0.93750246154081492079686086598995
absolute error = 3.2e-31
relative error = 3.4133243711602622134951044886093e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.307
y[1] (analytic) = 0.9367862345428317941817219642266
y[1] (numeric) = 0.93678623454283179418172196422682
absolute error = 2.2e-31
relative error = 2.3484546622033134425433343602348e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.308
y[1] (analytic) = 0.93606971307379085856172177533724
y[1] (numeric) = 0.93606971307379085856172177533753
absolute error = 2.9e-31
relative error = 3.0980598554750927011233075007482e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.309
y[1] (analytic) = 0.93535289731372818019656362929708
y[1] (numeric) = 0.93535289731372818019656362929737
absolute error = 2.9e-31
relative error = 3.1004340803653986631609878546184e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.31
y[1] (analytic) = 0.93463578744263606616904527728
y[1] (numeric) = 0.93463578744263606616904527728014
absolute error = 1.4e-31
relative error = 1.4979096871848875059049886577081e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1586.9MB, alloc=4.5MB, time=143.67
x[1] = 1.311
y[1] (analytic) = 0.93391838364046307129022433510312
y[1] (numeric) = 0.93391838364046307129022433510334
absolute error = 2.2e-31
relative error = 2.3556662322292918930280408369071e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.312
y[1] (analytic) = 0.93320068608711400500376830617544
y[1] (numeric) = 0.93320068608711400500376830617566
absolute error = 2.2e-31
relative error = 2.3574779067346620637143888862871e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.313
y[1] (analytic) = 0.93248269496244993828948926119975
y[1] (numeric) = 0.93248269496244993828948926120002
absolute error = 2.7e-31
relative error = 2.8954960929422138573547714663041e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.314
y[1] (analytic) = 0.9317644104462882105660632518793
y[1] (numeric) = 0.93176441044628821056606325187955
absolute error = 2.5e-31
relative error = 2.6830816588096258019634248975322e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.315
y[1] (analytic) = 0.9310458327184024365929345358674
y[1] (numeric) = 0.93104583271840243659293453586761
absolute error = 2.1e-31
relative error = 2.2555280590951865692281897567600e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1590.7MB, alloc=4.5MB, time=144.04
x[1] = 1.316
y[1] (analytic) = 0.93032696195852251337140469019666
y[1] (numeric) = 0.93032696195852251337140469019684
absolute error = 1.8e-31
relative error = 1.9348036481826168899600825673315e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.317
y[1] (analytic) = 0.92960779834633462704490669041602
y[1] (numeric) = 0.9296077983463346270449066904162
absolute error = 1.8e-31
relative error = 1.9363004518701252387242516204222e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.318
y[1] (analytic) = 0.92888834206148125979846403265847
y[1] (numeric) = 0.92888834206148125979846403265876
absolute error = 2.9e-31
relative error = 3.1220114072742392169839549955453e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.319
y[1] (analytic) = 0.92816859328356119675733497585665
y[1] (numeric) = 0.92816859328356119675733497585689
absolute error = 2.4e-31
relative error = 2.5857371358683597293980881824657e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.32
y[1] (analytic) = 0.92744855219212953288484198131523
y[1] (numeric) = 0.92744855219212953288484198131543
absolute error = 2.0e-31
relative error = 2.1564538488660894791387184153558e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.321
y[1] (analytic) = 0.92672821896669767987938642684691
y[1] (numeric) = 0.9267282189666976798793864268472
absolute error = 2.9e-31
relative error = 3.1292885450639467026712916426283e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1594.5MB, alloc=4.5MB, time=144.41
x[1] = 1.322
y[1] (analytic) = 0.92600759378673337307064867266888
y[1] (numeric) = 0.9260075937867333730706486726692
absolute error = 3.2e-31
relative error = 3.4556952032263619424356745066696e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.323
y[1] (analytic) = 0.92528667683166067831497355625143
y[1] (numeric) = 0.92528667683166067831497355625169
absolute error = 2.6e-31
relative error = 2.8099399516945853370845871017310e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.324
y[1] (analytic) = 0.92456546828085999888994139330592
y[1] (numeric) = 0.92456546828085999888994139330615
absolute error = 2.3e-31
relative error = 2.4876550973471109480378444876449e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.325
y[1] (analytic) = 0.92384396831366808238812456209193
y[1] (numeric) = 0.92384396831366808238812456209217
absolute error = 2.4e-31
relative error = 2.5978412830695021720279112875363e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.326
y[1] (analytic) = 0.92312217710937802761002974821678
y[1] (numeric) = 0.92312217710937802761002974821697
absolute error = 1.9e-31
relative error = 2.0582324280731418249248250111420e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1598.4MB, alloc=4.5MB, time=144.78
x[1] = 1.327
y[1] (analytic) = 0.92240009484723929145622592709515
y[1] (numeric) = 0.92240009484723929145622592709538
absolute error = 2.3e-31
relative error = 2.4934949734376469886342260896144e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.328
y[1] (analytic) = 0.92167772170645769581865816123167
y[1] (numeric) = 0.92167772170645769581865816123181
absolute error = 1.4e-31
relative error = 1.5189691223174445960465269440344e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.329
y[1] (analytic) = 0.92095505786619543447114728947946
y[1] (numeric) = 0.92095505786619543447114728947968
absolute error = 2.2e-31
relative error = 2.3888244938871225826192790232975e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.33
y[1] (analytic) = 0.92023210350557107995907558542752
y[1] (numeric) = 0.92023210350557107995907558542771
absolute error = 1.9e-31
relative error = 2.0646964964187400909636141387234e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.331
y[1] (analytic) = 0.91950885880365959048825846205602
y[1] (numeric) = 0.91950885880365959048825846205629
absolute error = 2.7e-31
relative error = 2.9363501766724405165929364748061e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.332
y[1] (analytic) = 0.91878532393949231681300229980083
y[1] (numeric) = 0.91878532393949231681300229980106
absolute error = 2.3e-31
relative error = 2.5033051139065312200749166318761e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1602.2MB, alloc=4.5MB, time=145.15
x[1] = 1.333
y[1] (analytic) = 0.91806149909205700912334847515453
y[1] (numeric) = 0.91806149909205700912334847515474
absolute error = 2.1e-31
relative error = 2.2874284588525437961911573787244e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.334
y[1] (analytic) = 0.91733738444029782393150366693177
y[1] (numeric) = 0.91733738444029782393150366693206
absolute error = 2.9e-31
relative error = 3.1613232483372510773125057581564e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.335
y[1] (analytic) = 0.91661298016311533095745651731646
y[1] (numeric) = 0.91661298016311533095745651731664
absolute error = 1.8e-31
relative error = 1.9637513748492652205004797674390e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.336
y[1] (analytic) = 0.91588828643936652001378072480217
y[1] (numeric) = 0.91588828643936652001378072480242
absolute error = 2.5e-31
relative error = 2.7295905374214048027584576644339e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.337
y[1] (analytic) = 0.91516330344786480788962464613599
y[1] (numeric) = 0.91516330344786480788962464613628
absolute error = 2.9e-31
relative error = 3.1688333536476943490754680899323e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.338
y[1] (analytic) = 0.91443803136738004523388748436206
y[1] (numeric) = 0.91443803136738004523388748436224
absolute error = 1.8e-31
relative error = 1.9684220671666716931690320799999e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1606.0MB, alloc=4.5MB, time=145.52
x[1] = 1.339
y[1] (analytic) = 0.9137124703766385234375821400613
y[1] (numeric) = 0.91371247037663852343758214006158
absolute error = 2.8e-31
relative error = 3.0644213478292803296894640707269e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.34
y[1] (analytic) = 0.91298662065432298151538480287687
y[1] (numeric) = 0.91298662065432298151538480287712
absolute error = 2.5e-31
relative error = 2.7382657570691340313980087025323e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.341
y[1] (analytic) = 0.9122604823790726129863713604035
y[1] (numeric) = 0.91226048237907261298637136040377
absolute error = 2.7e-31
relative error = 2.9596809816410155500775836882934e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.342
y[1] (analytic) = 0.91153405572948307275394070152118
y[1] (numeric) = 0.91153405572948307275394070152133
absolute error = 1.5e-31
relative error = 1.6455775739498608364117349763423e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.343
y[1] (analytic) = 0.9108073408841064839849249912393
y[1] (numeric) = 0.91080734088410648398492499123945
absolute error = 1.5e-31
relative error = 1.6468905471754030757248235887786e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1609.8MB, alloc=4.5MB, time=145.89
x[1] = 1.344
y[1] (analytic) = 0.91008033802145144498788699411835
y[1] (numeric) = 0.91008033802145144498788699411852
absolute error = 1.7e-31
relative error = 1.8679669573961605679412289567642e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.345
y[1] (analytic) = 0.90935304731998303609060452332397
y[1] (numeric) = 0.90935304731998303609060452332414
absolute error = 1.7e-31
relative error = 1.8694609371026874818324498325732e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.346
y[1] (analytic) = 0.90862546895812282651674209236656
y[1] (numeric) = 0.90862546895812282651674209236678
absolute error = 2.2e-31
relative error = 2.4212396363076134203037557699589e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.347
y[1] (analytic) = 0.9078976031142488812617098465717
y[1] (numeric) = 0.90789760311424888126170984657201
absolute error = 3.1e-31
relative error = 3.4144819739213467825305089990045e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.348
y[1] (analytic) = 0.90716944996669576796770985132037
y[1] (numeric) = 0.9071694499666957679677098513207
absolute error = 3.3e-31
relative error = 3.6376886370249245346927229344260e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.349
y[1] (analytic) = 0.90644100969375456379796981409209
y[1] (numeric) = 0.90644100969375456379796981409241
absolute error = 3.2e-31
relative error = 3.5302904058600959871205157383407e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1613.6MB, alloc=4.5MB, time=146.26
x[1] = 1.35
y[1] (analytic) = 0.9057122824736728623101643173389
y[1] (numeric) = 0.90571228247367286231016431733906
absolute error = 1.6e-31
relative error = 1.7665654214493978788331170721366e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.351
y[1] (analytic) = 0.90498326848465478032902363920966
y[1] (numeric) = 0.90498326848465478032902363920993
absolute error = 2.7e-31
relative error = 2.9834805725425211712295378323206e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.352
y[1] (analytic) = 0.90425396790486096481813023914273
y[1] (numeric) = 0.90425396790486096481813023914291
absolute error = 1.8e-31
relative error = 1.9905912098683573895562782273363e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.353
y[1] (analytic) = 0.90352438091240859975090298533062
y[1] (numeric) = 0.90352438091240859975090298533078
absolute error = 1.6e-31
relative error = 1.7708431933892779313174387398341e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.354
y[1] (analytic) = 0.90279450768537141298076920106495
y[1] (numeric) = 0.90279450768537141298076920106521
absolute error = 2.6e-31
relative error = 2.8799466300099751369896835347625e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1617.4MB, alloc=4.5MB, time=146.63
x[1] = 1.355
y[1] (analytic) = 0.90206434840177968311052460695495
y[1] (numeric) = 0.90206434840177968311052460695514
absolute error = 1.9e-31
relative error = 2.1062798938526939008410908158615e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.356
y[1] (analytic) = 0.90133390323962024636088123600976
y[1] (numeric) = 0.90133390323962024636088123600989
absolute error = 1.3e-31
relative error = 1.4423067803479640041511358151241e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.357
y[1] (analytic) = 0.90060317237683650343820339857127
y[1] (numeric) = 0.90060317237683650343820339857156
absolute error = 2.9e-31
relative error = 3.2200641624950464644362810171142e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.358
y[1] (analytic) = 0.89987215599132842640143177407453
y[1] (numeric) = 0.89987215599132842640143177407484
absolute error = 3.1e-31
relative error = 3.4449337934952984554091362672589e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.359
y[1] (analytic) = 0.89914085426095256552819570660632
y[1] (numeric) = 0.8991408542609525655281957066065
absolute error = 1.8e-31
relative error = 2.0019110370415847870313627450700e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.36
y[1] (analytic) = 0.89840926736352205618011378123045
y[1] (numeric) = 0.89840926736352205618011378123059
absolute error = 1.4e-31
relative error = 1.5583098381302872329757232033581e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1621.3MB, alloc=4.5MB, time=147.00
x[1] = 1.361
y[1] (analytic) = 0.89767739547680662566728275803908
y[1] (numeric) = 0.89767739547680662566728275803931
absolute error = 2.3e-31
relative error = 2.5621676691305582884684887373081e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.362
y[1] (analytic) = 0.89694523877853260011195494088322
y[1] (numeric) = 0.89694523877853260011195494088346
absolute error = 2.4e-31
relative error = 2.6757486368603056862420480310718e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.363
y[1] (analytic) = 0.89621279744638291131140405772997
y[1] (numeric) = 0.89621279744638291131140405773018
absolute error = 2.1e-31
relative error = 2.3431934982223183591715308236905e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.364
y[1] (analytic) = 0.89548007165799710359997972958941
y[1] (numeric) = 0.89548007165799710359997972958966
absolute error = 2.5e-31
relative error = 2.7917985884054415935680912321017e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.365
y[1] (analytic) = 0.89474706159097134071035060494619
y[1] (numeric) = 0.89474706159097134071035060494636
absolute error = 1.7e-31
relative error = 1.8999782988693910640256182343831e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.366
y[1] (analytic) = 0.89401376742285841263393623662397
y[1] (numeric) = 0.89401376742285841263393623662427
absolute error = 3.0e-31
relative error = 3.3556530215949503269093254909781e-29 %
Correct digits = 30
h = 0.001
memory used=1625.1MB, alloc=4.5MB, time=147.37
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.367
y[1] (analytic) = 0.8932801893311677424805277780093
y[1] (numeric) = 0.89328018933116774248052777800943
absolute error = 1.3e-31
relative error = 1.4553104563679606260206850489367e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.368
y[1] (analytic) = 0.89254632749336539333709757554684
y[1] (numeric) = 0.8925463274933653933370975755471
absolute error = 2.6e-31
relative error = 2.9130140586672535521499439415679e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.369
y[1] (analytic) = 0.89181218208687407512579773442446
y[1] (numeric) = 0.89181218208687407512579773442467
absolute error = 2.1e-31
relative error = 2.3547559028470781292749231175738e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.37
y[1] (analytic) = 0.89107775328907315146114773434518
y[1] (numeric) = 0.89107775328907315146114773434537
absolute error = 1.9e-31
relative error = 2.1322493946088046345819930424806e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.371
y[1] (analytic) = 0.89034304127729864650641117229143
y[1] (numeric) = 0.89034304127729864650641117229172
absolute error = 2.9e-31
relative error = 3.2571715232812054350126562129934e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1628.9MB, alloc=4.5MB, time=147.74
x[1] = 1.372
y[1] (analytic) = 0.88960804622884325182916170917148
y[1] (numeric) = 0.88960804622884325182916170917165
absolute error = 1.7e-31
relative error = 1.9109539388796075328336738992049e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.373
y[1] (analytic) = 0.88887276832095633325603829723376
y[1] (numeric) = 0.88887276832095633325603829723395
absolute error = 1.9e-31
relative error = 2.1375387656312398082043155304447e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.374
y[1] (analytic) = 0.8881372077308439377266897651336
y[1] (numeric) = 0.88813720773084393772668976513382
absolute error = 2.2e-31
relative error = 2.4770947336176969002502298660731e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.375
y[1] (analytic) = 0.88740136463566880014690883752279
y[1] (numeric) = 0.88740136463566880014690883752295
absolute error = 1.6e-31
relative error = 1.8030172859345280037296207399031e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.376
y[1] (analytic) = 0.88666523921255035024095566603257
y[1] (numeric) = 0.88666523921255035024095566603275
absolute error = 1.8e-31
relative error = 2.0300784562148670329399384861072e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.377
y[1] (analytic) = 0.88592883163856471940307094851267
y[1] (numeric) = 0.88592883163856471940307094851299
absolute error = 3.2e-31
relative error = 3.6120282868336702438145421337928e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1632.7MB, alloc=4.5MB, time=148.11
x[1] = 1.378
y[1] (analytic) = 0.88519214209074474754817871338194
y[1] (numeric) = 0.88519214209074474754817871338217
absolute error = 2.3e-31
relative error = 2.5983059390559042982415432907848e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.379
y[1] (analytic) = 0.88445517074607998996177884593952
y[1] (numeric) = 0.88445517074607998996177884593977
absolute error = 2.5e-31
relative error = 2.8265988856067528349690562297553e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.38
y[1] (analytic) = 0.88371791778151672414902943348432
y[1] (numeric) = 0.88371791778151672414902943348453
absolute error = 2.1e-31
relative error = 2.3763238899487687291171663908817e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.381
y[1] (analytic) = 0.88298038337395795668301900607645
y[1] (numeric) = 0.88298038337395795668301900607664
absolute error = 1.9e-31
relative error = 2.1518031835995116080366096250250e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.382
y[1] (analytic) = 0.88224256770026343005222874977564
y[1] (numeric) = 0.88224256770026343005222874977587
absolute error = 2.3e-31
relative error = 2.6069927752357230084683202258539e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1636.5MB, alloc=4.5MB, time=148.48
x[1] = 1.383
y[1] (analytic) = 0.88150447093724962950718476918103
y[1] (numeric) = 0.88150447093724962950718476918131
absolute error = 2.8e-31
relative error = 3.1763877465339815706094652599982e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.384
y[1] (analytic) = 0.88076609326168978990630047609226
y[1] (numeric) = 0.88076609326168978990630047609251
absolute error = 2.5e-31
relative error = 2.8384380587834569838906250687846e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.385
y[1] (analytic) = 0.88002743485031390256090918110538
y[1] (numeric) = 0.88002743485031390256090918110561
absolute error = 2.3e-31
relative error = 2.6135548835374806592928582813342e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.386
y[1] (analytic) = 0.87928849587980872207948696495178
y[1] (numeric) = 0.87928849587980872207948696495196
absolute error = 1.8e-31
relative error = 2.0471096897485677211161253688334e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.387
y[1] (analytic) = 0.87854927652681777321106590638039
y[1] (numeric) = 0.8785492765268177732110659063807
absolute error = 3.1e-31
relative error = 3.5285442522419199789508517774274e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.388
y[1] (analytic) = 0.87780977696794135768783774338034
y[1] (numeric) = 0.8778097769679413576878377433806
absolute error = 2.6e-31
relative error = 2.9619173404296168469026108985813e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1640.3MB, alloc=4.5MB, time=148.85
x[1] = 1.389
y[1] (analytic) = 0.8770699973797365610669480445302
y[1] (numeric) = 0.87706999737973656106694804453042
absolute error = 2.2e-31
relative error = 2.5083516783980095031099697304785e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.39
y[1] (analytic) = 0.87632993793871725957148096726067
y[1] (numeric) = 0.87632993793871725957148096726093
absolute error = 2.6e-31
relative error = 2.9669190648851493772951313082384e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.391
y[1] (analytic) = 0.87558959882135412693063467980544
y[1] (numeric) = 0.87558959882135412693063467980569
absolute error = 2.5e-31
relative error = 2.8552189328942372225130470066156e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.392
y[1] (analytic) = 0.87484898020407464121908752361114
y[1] (numeric) = 0.8748489802040746412190875236115
absolute error = 3.6e-31
relative error = 4.1149959381106367413402817466610e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.393
y[1] (analytic) = 0.87410808226326309169555499297322
y[1] (numeric) = 0.87410808226326309169555499297347
absolute error = 2.5e-31
relative error = 2.8600582133126326960720758976128e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1644.1MB, alloc=4.5MB, time=149.22
x[1] = 1.394
y[1] (analytic) = 0.87336690517526058564053760865326
y[1] (numeric) = 0.87336690517526058564053760865344
absolute error = 1.8e-31
relative error = 2.0609894757104286857400506923322e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.395
y[1] (analytic) = 0.87262544911636505519325976223421
y[1] (numeric) = 0.87262544911636505519325976223452
absolute error = 3.1e-31
relative error = 3.5524978135110673306261206968149e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.396
y[1] (analytic) = 0.87188371426283126418779960795805
y[1] (numeric) = 0.87188371426283126418779960795829
absolute error = 2.4e-31
relative error = 2.7526606596031850171208411295193e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.397
y[1] (analytic) = 0.87114170079087081498841007878506
y[1] (numeric) = 0.87114170079087081498841007878525
absolute error = 1.9e-31
relative error = 2.1810458600191845748625392738367e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.398
y[1] (analytic) = 0.87039940887665215532403110341254
y[1] (numeric) = 0.87039940887665215532403110341292
absolute error = 3.8e-31
relative error = 4.3658117885262873315848660658663e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.399
y[1] (analytic) = 0.86965683869630058512199310097984
y[1] (numeric) = 0.86965683869630058512199310097997
absolute error = 1.3e-31
relative error = 1.4948424966666453037258747494415e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1648.0MB, alloc=4.5MB, time=149.59
x[1] = 1.4
y[1] (analytic) = 0.86891399042589826334091183017841
y[1] (numeric) = 0.86891399042589826334091183017863
absolute error = 2.2e-31
relative error = 2.5318961649146307569559834822355e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.401
y[1] (analytic) = 0.86817086424148421480277466949122
y[1] (numeric) = 0.86817086424148421480277466949153
absolute error = 3.1e-31
relative error = 3.5707256804896946101278547790269e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.402
y[1] (analytic) = 0.86742746031905433702421840526289
y[1] (numeric) = 0.86742746031905433702421840526312
absolute error = 2.3e-31
relative error = 2.6515185479071892738904685331614e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.403
y[1] (analytic) = 0.8666837788345614070469986043093
y[1] (numeric) = 0.86668377883456140704699860430964
absolute error = 3.4e-31
relative error = 3.9229994642013664726876726723591e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.404
y[1] (analytic) = 0.8659398199639150882676506477653
y[1] (numeric) = 0.86593981996391508826765064776554
absolute error = 2.4e-31
relative error = 2.7715551874032208431052173942229e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.405
y[1] (analytic) = 0.86519558388298193726634250285799
y[1] (numeric) = 0.86519558388298193726634250285824
absolute error = 2.5e-31
relative error = 2.8895200652551250657633804217151e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1651.8MB, alloc=4.5MB, time=149.97
x[1] = 1.406
y[1] (analytic) = 0.86445107076758541063491930929671
y[1] (numeric) = 0.86445107076758541063491930929693
absolute error = 2.2e-31
relative error = 2.5449676383031372386415180251870e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.407
y[1] (analytic) = 0.86370628079350587180413985695476
y[1] (numeric) = 0.86370628079350587180413985695513
absolute error = 3.7e-31
relative error = 4.2838637188104374847375188261042e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.408
y[1] (analytic) = 0.86296121413648059787010503152017
y[1] (numeric) = 0.86296121413648059787010503152052
absolute error = 3.5e-31
relative error = 4.0558022106500625292848744388396e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.409
y[1] (analytic) = 0.86221587097220378641987830477931
y[1] (numeric) = 0.86221587097220378641987830477958
absolute error = 2.7e-31
relative error = 3.1314663657902475654179569275174e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.41
y[1] (analytic) = 0.86147025147632656235629834619829
y[1] (numeric) = 0.86147025147632656235629834619853
absolute error = 2.4e-31
relative error = 2.7859348548450168450948401954120e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1655.6MB, alloc=4.5MB, time=150.33
x[1] = 1.411
y[1] (analytic) = 0.8607243558244569847219838324555
y[1] (numeric) = 0.86072435582445698472198383245572
absolute error = 2.2e-31
relative error = 2.5559866931994725743937482313524e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.412
y[1] (analytic) = 0.8599781841921600535225305315747
y[1] (numeric) = 0.85997818419216005352253053157493
absolute error = 2.3e-31
relative error = 2.6744864489330703077785733578030e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.413
y[1] (analytic) = 0.85923173675495771654890073830243
y[1] (numeric) = 0.8592317367549577165489007383026
absolute error = 1.7e-31
relative error = 1.9785116485808054040755706049162e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.414
y[1] (analytic) = 0.85848501368832887619900513736586
y[1] (numeric) = 0.85848501368832887619900513736616
absolute error = 3.0e-31
relative error = 3.4945280956169882526511955612326e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.415
y[1] (analytic) = 0.85773801516770939629847717124425
y[1] (numeric) = 0.85773801516770939629847717124444
absolute error = 1.9e-31
relative error = 2.2151285898509489770866694087063e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.416
y[1] (analytic) = 0.85699074136849210892063998907477
y[1] (numeric) = 0.85699074136849210892063998907508
absolute error = 3.1e-31
relative error = 3.6173086246529824717030434612764e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1659.4MB, alloc=4.5MB, time=150.70
x[1] = 1.417
y[1] (analytic) = 0.85624319246602682120566605331756
y[1] (numeric) = 0.85624319246602682120566605331779
absolute error = 2.3e-31
relative error = 2.6861527428625450326160225578155e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.418
y[1] (analytic) = 0.85549536863562032217892948078594
y[1] (numeric) = 0.85549536863562032217892948078629
absolute error = 3.5e-31
relative error = 4.0911968998522410566908891200927e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.419
y[1] (analytic) = 0.85474727005253638956855119465528
y[1] (numeric) = 0.8547472700525363895685511946555
absolute error = 2.2e-31
relative error = 2.5738602240458500400645079137866e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.42
y[1] (analytic) = 0.85399889689199579662213696404437
y[1] (numeric) = 0.85399889689199579662213696404472
absolute error = 3.5e-31
relative error = 4.0983659495787858722904368739593e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.421
y[1] (analytic) = 0.85325024932917631892270840777105
y[1] (numeric) = 0.85325024932917631892270840777123
absolute error = 1.8e-31
relative error = 2.1095803973279310350791202099388e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1663.2MB, alloc=4.5MB, time=151.07
x[1] = 1.422
y[1] (analytic) = 0.85250132753921274120382703886258
y[1] (numeric) = 0.85250132753921274120382703886281
absolute error = 2.3e-31
relative error = 2.6979430127564302928995833939389e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.423
y[1] (analytic) = 0.85175213169719686416391142641135
y[1] (numeric) = 0.85175213169719686416391142641159
absolute error = 2.4e-31
relative error = 2.8177211546483276681005101392204e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.424
y[1] (analytic) = 0.85100266197817751127974755134524
y[1] (numeric) = 0.85100266197817751127974755134545
absolute error = 2.1e-31
relative error = 2.4676773573404531386715972571747e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.425
y[1] (analytic) = 0.85025291855716053561919243268707
y[1] (numeric) = 0.85025291855716053561919243268727
absolute error = 2.0e-31
relative error = 2.3522412641569128932489804143533e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.426
y[1] (analytic) = 0.84950290160910882665307110086595
y[1] (numeric) = 0.84950290160910882665307110086612
absolute error = 1.7e-31
relative error = 2.0011703277056489884291405876610e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.427
y[1] (analytic) = 0.84875261130894231706626699463811
y[1] (numeric) = 0.84875261130894231706626699463849
absolute error = 3.8e-31
relative error = 4.4771585375621498589210585065064e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1667.0MB, alloc=4.5MB, time=151.44
x[1] = 1.428
y[1] (analytic) = 0.84800204783153798956800585817136
y[1] (numeric) = 0.84800204783153798956800585817159
absolute error = 2.3e-31
relative error = 2.7122576011242279078727473637826e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.429
y[1] (analytic) = 0.84725121135172988370133321483433
y[1] (numeric) = 0.84725121135172988370133321483454
absolute error = 2.1e-31
relative error = 2.4786037150063170621766578315507e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.43
y[1] (analytic) = 0.84650010204430910265178549423719
y[1] (numeric) = 0.84650010204430910265178549423741
absolute error = 2.2e-31
relative error = 2.5989364852844913850796663821881e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.431
y[1] (analytic) = 0.8457487200840238200552548890516
y[1] (numeric) = 0.84574872008402382005525488905181
absolute error = 2.1e-31
relative error = 2.4830070092111617571967531038227e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.432
y[1] (analytic) = 0.8449970656455792868050480181404
y[1] (numeric) = 0.84499706564557928680504801814076
absolute error = 3.6e-31
relative error = 4.2603698241834644566225696885505e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.433
y[1] (analytic) = 0.84424513890363783785813847251921
y[1] (numeric) = 0.84424513890363783785813847251944
absolute error = 2.3e-31
relative error = 2.7243272054688396137758192381371e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1670.8MB, alloc=4.5MB, time=151.81
TOP MAIN SOLVE Loop
x[1] = 1.434
y[1] (analytic) = 0.84349294003281889904061332066219
y[1] (numeric) = 0.8434929400328188990406133206624
absolute error = 2.1e-31
relative error = 2.4896473939880190503194740997235e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.435
y[1] (analytic) = 0.8427404692076989938523136496665
y[1] (numeric) = 0.84274046920769899385231364966673
absolute error = 2.3e-31
relative error = 2.7291913513567718584222425183688e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.436
y[1] (analytic) = 0.8419877266028117502706692187743
y[1] (numeric) = 0.84198772660281175027066921877449
absolute error = 1.9e-31
relative error = 2.2565649592850669741163273843526e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.437
y[1] (analytic) = 0.84123471239264790755372730175163
y[1] (numeric) = 0.84123471239264790755372730175188
absolute error = 2.5e-31
relative error = 2.9718222074900782608306371877099e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.438
y[1] (analytic) = 0.840481426751655323042375794616
y[1] (numeric) = 0.84048142675165532304237579461631
absolute error = 3.1e-31
relative error = 3.6883622901472933338826921663204e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1674.7MB, alloc=4.6MB, time=152.18
x[1] = 1.439
y[1] (analytic) = 0.83972786985423897896176066519634
y[1] (numeric) = 0.83972786985423897896176066519663
absolute error = 2.9e-31
relative error = 3.4534997635643385894676285136205e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.44
y[1] (analytic) = 0.8389740418747609892218978210054
y[1] (numeric) = 0.83897404187476098922189782100558
absolute error = 1.8e-31
relative error = 2.1454775835230161867237075282033e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.441
y[1] (analytic) = 0.83821994298754060621747947189724
y[1] (numeric) = 0.83821994298754060621747947189757
absolute error = 3.3e-31
relative error = 3.9369142044489050821369295900881e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.442
y[1] (analytic) = 0.83746557336685422762687506397847
y[1] (numeric) = 0.83746557336685422762687506397874
absolute error = 2.7e-31
relative error = 3.2240131246771348238904402650680e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.443
y[1] (analytic) = 0.83671093318693540321032686123006
y[1] (numeric) = 0.83671093318693540321032686123026
absolute error = 2.0e-31
relative error = 2.3903117799384200273367497194767e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.444
y[1] (analytic) = 0.83595602262197484160734025129927
y[1] (numeric) = 0.83595602262197484160734025129961
absolute error = 3.4e-31
relative error = 4.0671995990122841337925032523890e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1678.5MB, alloc=4.6MB, time=152.55
x[1] = 1.445
y[1] (analytic) = 0.83520084184612041713326885190862
y[1] (numeric) = 0.83520084184612041713326885190876
absolute error = 1.4e-31
relative error = 1.6762435211457074343047203161805e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.446
y[1] (analytic) = 0.8344453910334771765750944943216
y[1] (numeric) = 0.83444539103347717657509449432187
absolute error = 2.7e-31
relative error = 3.2356820817908723994701980670134e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.447
y[1] (analytic) = 0.83368967035810734598640216030891
y[1] (numeric) = 0.83368967035810734598640216030915
absolute error = 2.4e-31
relative error = 2.8787690256124819976839260669436e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.448
y[1] (analytic) = 0.83293367999403033748154994903716
y[1] (numeric) = 0.83293367999403033748154994903749
absolute error = 3.3e-31
relative error = 3.9619000639086310044676788865381e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.449
y[1] (analytic) = 0.83217742011522275602903415031201
y[1] (numeric) = 0.83217742011522275602903415031236
absolute error = 3.5e-31
relative error = 4.2058338947905991335860810924770e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1682.3MB, alloc=4.6MB, time=152.92
x[1] = 1.45
y[1] (analytic) = 0.83142089089561840624404950058915
y[1] (numeric) = 0.83142089089561840624404950058942
absolute error = 2.7e-31
relative error = 3.2474526795826859808143464281075e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.451
y[1] (analytic) = 0.83066409250910829918024469816797
y[1] (numeric) = 0.8306640925091082991802446981682
absolute error = 2.3e-31
relative error = 2.7688689335933710332639020230779e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.452
y[1] (analytic) = 0.82990702512954065912067325397396
y[1] (numeric) = 0.82990702512954065912067325397416
absolute error = 2.0e-31
relative error = 2.4099085071461093651590372815730e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.453
y[1] (analytic) = 0.82914968893072093036793975432918
y[1] (numeric) = 0.82914968893072093036793975432943
absolute error = 2.5e-31
relative error = 3.0151371138111660005192776803986e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.454
y[1] (analytic) = 0.82839208408641178403354161210617
y[1] (numeric) = 0.82839208408641178403354161210634
absolute error = 1.7e-31
relative error = 2.0521683302597426479574150787020e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.455
y[1] (analytic) = 0.82763421077033312482640638265169
y[1] (numeric) = 0.82763421077033312482640638265188
absolute error = 1.9e-31
relative error = 2.2957001719776012072482793204227e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1686.1MB, alloc=4.6MB, time=153.29
x[1] = 1.456
y[1] (analytic) = 0.8268760691561620978406247208649
y[1] (numeric) = 0.82687606915616209784062472086519
absolute error = 2.9e-31
relative error = 3.5071761152302885432146973409228e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.457
y[1] (analytic) = 0.82611765941753309534237905580373
y[1] (numeric) = 0.82611765941753309534237905580398
absolute error = 2.5e-31
relative error = 3.0262033155938868055412359187198e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.458
y[1] (analytic) = 0.82535898172803776355606805918958
y[1] (numeric) = 0.82535898172803776355606805918988
absolute error = 3.0e-31
relative error = 3.6347820359559901796583578350138e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.459
y[1] (analytic) = 0.82460003626122500944962698417626
y[1] (numeric) = 0.82460003626122500944962698417656
absolute error = 3.0e-31
relative error = 3.6381274170228512227584461050937e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.46
y[1] (analytic) = 0.82384082319060100751904395073818
y[1] (numeric) = 0.82384082319060100751904395073842
absolute error = 2.4e-31
relative error = 2.9131841157193349866997542916297e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1689.9MB, alloc=4.6MB, time=153.66
x[1] = 1.461
y[1] (analytic) = 0.82308134268962920657207225403135
y[1] (numeric) = 0.8230813426896292065720722540316
absolute error = 2.5e-31
relative error = 3.0373668680553605559858282210985e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.462
y[1] (analytic) = 0.82232159493173033651113877207268
y[1] (numeric) = 0.82232159493173033651113877207294
absolute error = 2.6e-31
relative error = 3.1617800335352419620151789118470e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.463
y[1] (analytic) = 0.82156158009028241511544854907626
y[1] (numeric) = 0.82156158009028241511544854907661
absolute error = 3.5e-31
relative error = 4.2601797416273782959762708077777e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.464
y[1] (analytic) = 0.82080129833862075482228563078157
y[1] (numeric) = 0.82080129833862075482228563078186
absolute error = 2.9e-31
relative error = 3.5331328128621062439173291146492e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.465
y[1] (analytic) = 0.82004074985003796950751022809914
y[1] (numeric) = 0.82004074985003796950751022809945
absolute error = 3.1e-31
relative error = 3.7802999431027073414806831832684e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.466
y[1] (analytic) = 0.81927993479778398126525228539778
y[1] (numeric) = 0.81927993479778398126525228539818
absolute error = 4.0e-31
relative error = 4.8823360979630076841257226873078e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1693.7MB, alloc=4.6MB, time=154.03
x[1] = 1.467
y[1] (analytic) = 0.81851885335506602718680152974656
y[1] (numeric) = 0.8185188533550660271868015297469
absolute error = 3.4e-31
relative error = 4.1538444546067296900134591561499e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.468
y[1] (analytic) = 0.81775750569504866613869407742095
y[1] (numeric) = 0.81775750569504866613869407742129
absolute error = 3.4e-31
relative error = 4.1577117621319635403908881622059e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.469
y[1] (analytic) = 0.81699589199085378553999567397848
y[1] (numeric) = 0.81699589199085378553999567397877
absolute error = 2.9e-31
relative error = 3.5495894513414093229821743338056e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.47
y[1] (analytic) = 0.81623401241556060813878164419837
y[1] (numeric) = 0.8162340124155606081387816441986
absolute error = 2.3e-31
relative error = 2.8178193569677237051881906843181e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.471
y[1] (analytic) = 0.81547186714220569878781362817817
y[1] (numeric) = 0.81547186714220569878781362817842
absolute error = 2.5e-31
relative error = 3.0657096838437451725461339867830e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.472
y[1] (analytic) = 0.81470945634378297121941317987193
y[1] (numeric) = 0.81470945634378297121941317987227
absolute error = 3.4e-31
relative error = 4.1732668910685896206129674974858e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1697.5MB, alloc=4.6MB, time=154.40
x[1] = 1.473
y[1] (analytic) = 0.81394678019324369481953230434888
y[1] (numeric) = 0.81394678019324369481953230434919
absolute error = 3.1e-31
relative error = 3.8086028170834603209889383409510e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.474
y[1] (analytic) = 0.81318383886349650140102101004492
y[1] (numeric) = 0.81318383886349650140102101004525
absolute error = 3.3e-31
relative error = 4.0581229511546502593215250626250e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.475
y[1] (analytic) = 0.81242063252740739197609195227575
y[1] (numeric) = 0.81242063252740739197609195227605
absolute error = 3.0e-31
relative error = 3.6926684033948308047560919543468e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.476
y[1] (analytic) = 0.81165716135779974352798224427027
y[1] (numeric) = 0.8116571613577997435279822442705
absolute error = 2.3e-31
relative error = 2.8337087498278102866126382637248e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.477
y[1] (analytic) = 0.81089342552745431578181251198041
y[1] (numeric) = 0.81089342552745431578181251198068
absolute error = 2.7e-31
relative error = 3.3296607359268649573106714114086e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1701.4MB, alloc=4.6MB, time=154.78
x[1] = 1.478
y[1] (analytic) = 0.81012942520910925797464326891624
y[1] (numeric) = 0.81012942520910925797464326891657
absolute error = 3.3e-31
relative error = 4.0734232053701906903435170327663e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.479
y[1] (analytic) = 0.809365160575460115624728687248
y[1] (numeric) = 0.8093651605754601156247286872483
absolute error = 3.0e-31
relative error = 3.7066087671317535959797528550323e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.48
y[1] (analytic) = 0.80860063179915983729996784141234
y[1] (numeric) = 0.80860063179915983729996784141264
absolute error = 3.0e-31
relative error = 3.7101133514141747160217213842809e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.481
y[1] (analytic) = 0.80783583905281878138555350045391
y[1] (numeric) = 0.80783583905281878138555350045422
absolute error = 3.1e-31
relative error = 3.8374133086676691814405486482506e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.482
y[1] (analytic) = 0.80707078250900472285081854532594
y[1] (numeric) = 0.80707078250900472285081854532611
absolute error = 1.7e-31
relative error = 2.1063827818361552530020243150810e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.483
y[1] (analytic) = 0.806305462340242860015280087368
y[1] (numeric) = 0.80630546234024286001528008736824
absolute error = 2.4e-31
relative error = 2.9765394284123722231819972873749e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1705.2MB, alloc=4.6MB, time=155.15
x[1] = 1.484
y[1] (analytic) = 0.80553987871901582131388136417569
y[1] (numeric) = 0.80553987871901582131388136417599
absolute error = 3.0e-31
relative error = 3.7242104075227841111167193673671e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.485
y[1] (analytic) = 0.80477403181776367206143148906529
y[1] (numeric) = 0.80477403181776367206143148906548
absolute error = 1.9e-31
relative error = 2.3609111687021280303604901225174e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.486
y[1] (analytic) = 0.8040079218088839212162431303354
y[1] (numeric) = 0.80400792180888392121624313033579
absolute error = 3.9e-31
relative error = 4.8506984747434447192615068078979e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.487
y[1] (analytic) = 0.8032415488647315281429681965221
y[1] (numeric) = 0.80324154886473152814296819652243
absolute error = 3.3e-31
relative error = 4.1083532153734874355864461200142e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.488
y[1] (analytic) = 0.80247491315761890937463160382997
y[1] (numeric) = 0.80247491315761890937463160383027
absolute error = 3.0e-31
relative error = 3.7384346237011299714535332682003e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1709.0MB, alloc=4.6MB, time=155.52
x[1] = 1.489
y[1] (analytic) = 0.80170801485981594537386320192776
y[1] (numeric) = 0.80170801485981594537386320192813
absolute error = 3.7e-31
relative error = 4.6151465763342405398859176901610e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.49
y[1] (analytic) = 0.80094085414354998729332793428085
y[1] (numeric) = 0.80094085414354998729332793428114
absolute error = 2.9e-31
relative error = 3.6207417626373726791828543239603e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.491
y[1] (analytic) = 0.80017343118100586373535430919074
y[1] (numeric) = 0.80017343118100586373535430919099
absolute error = 2.5e-31
relative error = 3.1243226812844267938285921827088e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.492
y[1] (analytic) = 0.7994057461443258875107612577078
y[1] (numeric) = 0.79940574614432588751076125770803
absolute error = 2.3e-31
relative error = 2.8771371873335954504733613252148e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.493
y[1] (analytic) = 0.79863779920560986239688345457304
y[1] (numeric) = 0.79863779920560986239688345457325
absolute error = 2.1e-31
relative error = 2.6294773451605106470622047098214e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.494
y[1] (analytic) = 0.79786959053691508989479517834193
y[1] (numeric) = 0.79786959053691508989479517834213
absolute error = 2.0e-31
relative error = 2.5066753059909554927977677666847e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1712.8MB, alloc=4.6MB, time=155.89
x[1] = 1.495
y[1] (analytic) = 0.79710112031025637598573278683577
y[1] (numeric) = 0.79710112031025637598573278683609
absolute error = 3.2e-31
relative error = 4.0145471113557852760346918255727e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.496
y[1] (analytic) = 0.79633238869760603788671588406129
y[1] (numeric) = 0.79633238869760603788671588406156
absolute error = 2.7e-31
relative error = 3.3905439968551624903560753006715e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.497
y[1] (analytic) = 0.79556339587089391080536725473011
y[1] (numeric) = 0.79556339587089391080536725473033
absolute error = 2.2e-31
relative error = 2.7653358757056511184961200052364e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.498
y[1] (analytic) = 0.7947941420020073546939316425087
y[1] (numeric) = 0.79479414200200735469393164250902
absolute error = 3.2e-31
relative error = 4.0261997804104575156419390415886e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.499
y[1] (analytic) = 0.79402462726279126100249344811889
y[1] (numeric) = 0.79402462726279126100249344811926
absolute error = 3.7e-31
relative error = 4.6598050903721452763898543430257e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.5
y[1] (analytic) = 0.7932548518250480594313934234041
y[1] (numeric) = 0.79325485182504805943139342340439
absolute error = 2.9e-31
relative error = 3.6558238418938702886324247285935e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1716.6MB, alloc=4.6MB, time=156.26
TOP MAIN SOLVE Loop
x[1] = 1.501
y[1] (analytic) = 0.7924848158605377246828444374718
y[1] (numeric) = 0.79248481586053772468284443747211
absolute error = 3.1e-31
relative error = 3.9117468725678917226258699086902e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.502
y[1] (analytic) = 0.79171451954097778321174639101661
y[1] (numeric) = 0.79171451954097778321174639101683
absolute error = 2.2e-31
relative error = 2.7787794030549313173589574131452e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.503
y[1] (analytic) = 0.79094396303804331997570035491879
y[1] (numeric) = 0.79094396303804331997570035491906
absolute error = 2.7e-31
relative error = 3.4136425918584749379966491338377e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.504
y[1] (analytic) = 0.7901731465233669851842220092132
y[1] (numeric) = 0.79017314652336698518422200921348
absolute error = 2.8e-31
relative error = 3.5435271526494458686646243759259e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.505
y[1] (analytic) = 0.78940207016853900104715445851077
y[1] (numeric) = 0.78940207016853900104715445851099
absolute error = 2.2e-31
relative error = 2.7869194712528374498893610441131e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1720.4MB, alloc=4.6MB, time=156.63
x[1] = 1.506
y[1] (analytic) = 0.78863073414510716852228049995404
y[1] (numeric) = 0.78863073414510716852228049995422
absolute error = 1.8e-31
relative error = 2.2824370419081359610293107283017e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.507
y[1] (analytic) = 0.78785913862457687406213441977958
y[1] (numeric) = 0.78785913862457687406213441977981
absolute error = 2.3e-31
relative error = 2.9193035750213897990921400499808e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.508
y[1] (analytic) = 0.78708728377841109636001339455459
y[1] (numeric) = 0.78708728377841109636001339455476
absolute error = 1.7e-31
relative error = 2.1598621080995655833099864578361e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.509
y[1] (analytic) = 0.78631516977803041309518857314785
y[1] (numeric) = 0.78631516977803041309518857314814
absolute error = 2.9e-31
relative error = 3.6880885826209400222467048988350e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.51
y[1] (analytic) = 0.78554279679481300767731591549317
y[1] (numeric) = 0.78554279679481300767731591549334
absolute error = 1.7e-31
relative error = 2.1641086990248946996738548299119e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.511
y[1] (analytic) = 0.7847701650000946759900468641899
y[1] (numeric) = 0.7847701650000946759900468641901
absolute error = 2.0e-31
relative error = 2.5485168641697263257233200263848e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1724.3MB, alloc=4.6MB, time=157.00
x[1] = 1.512
y[1] (analytic) = 0.78399727456516883313383892498911
y[1] (numeric) = 0.7839972745651688331338389249894
absolute error = 2.9e-31
relative error = 3.6989924507179405739322281629776e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.513
y[1] (analytic) = 0.78322412566128652016796623219806
y[1] (numeric) = 0.78322412566128652016796623219832
absolute error = 2.6e-31
relative error = 3.3196117366849310295937104174728e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.514
y[1] (analytic) = 0.78245071845965641085173017503571
y[1] (numeric) = 0.782450718459656410851730175036
absolute error = 2.9e-31
relative error = 3.7063037090808494082785692508868e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.515
y[1] (analytic) = 0.78167705313144481838487016096527
y[1] (numeric) = 0.78167705313144481838487016096561
absolute error = 3.4e-31
relative error = 4.3496223745847438570387976512473e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.516
y[1] (analytic) = 0.78090312984777570214717459202117
y[1] (numeric) = 0.78090312984777570214717459202139
absolute error = 2.2e-31
relative error = 2.8172508418923279655472002946952e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1728.1MB, alloc=4.6MB, time=157.37
x[1] = 1.517
y[1] (analytic) = 0.78012894877973067443729213014346
y[1] (numeric) = 0.78012894877973067443729213014368
absolute error = 2.2e-31
relative error = 2.8200466133723359182546151470840e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.518
y[1] (analytic) = 0.77935451009834900721074332752863
y[1] (numeric) = 0.77935451009834900721074332752884
absolute error = 2.1e-31
relative error = 2.6945375599802391675181102457609e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.519
y[1] (analytic) = 0.77857981397462763881713269799464
y[1] (numeric) = 0.77857981397462763881713269799493
absolute error = 2.9e-31
relative error = 3.7247305259502980232843055079282e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.52
y[1] (analytic) = 0.77780486057952118073656130535769
y[1] (numeric) = 0.77780486057952118073656130535799
absolute error = 3.0e-31
relative error = 3.8570085532311817248357762887789e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.521
y[1] (analytic) = 0.77702965008394192431523994480751
y[1] (numeric) = 0.77702965008394192431523994480769
absolute error = 1.8e-31
relative error = 2.3165139191349356667725296769576e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.522
y[1] (analytic) = 0.77625418265875984750030299326487
y[1] (numeric) = 0.77625418265875984750030299326511
absolute error = 2.4e-31
relative error = 3.0917707802613365531461306013039e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1731.9MB, alloc=4.6MB, time=157.74
x[1] = 1.523
y[1] (analytic) = 0.77547845847480262157382300469915
y[1] (numeric) = 0.77547845847480262157382300469941
absolute error = 2.6e-31
relative error = 3.3527688249569616960003916618712e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.524
y[1] (analytic) = 0.77470247770285561788602612637373
y[1] (numeric) = 0.77470247770285561788602612637403
absolute error = 3.0e-31
relative error = 3.8724543761568787222437281124350e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.525
y[1] (analytic) = 0.7739262405136619145877084119868
y[1] (numeric) = 0.77392624051366191458770841198707
absolute error = 2.7e-31
relative error = 3.4887045543358051009990465494103e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.526
y[1] (analytic) = 0.77314974707792230336185310766425
y[1] (numeric) = 0.77314974707792230336185310766446
absolute error = 2.1e-31
relative error = 2.7161620474388519679092874684715e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.527
y[1] (analytic) = 0.77237299756629529615444898675824
y[1] (numeric) = 0.77237299756629529615444898675858
absolute error = 3.4e-31
relative error = 4.4020182097422002367552517906700e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1735.7MB, alloc=4.6MB, time=158.11
x[1] = 1.528
y[1] (analytic) = 0.7715959921493971319045098093985
y[1] (numeric) = 0.77159599214939713190450980939874
absolute error = 2.4e-31
relative error = 3.1104360629381156417731757245034e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.529
y[1] (analytic) = 0.77081873099780178327329498273381
y[1] (numeric) = 0.77081873099780178327329498273413
absolute error = 3.2e-31
relative error = 4.1514299942577884019441691333864e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.53
y[1] (analytic) = 0.77004121428204096337273149780351
y[1] (numeric) = 0.77004121428204096337273149780372
absolute error = 2.1e-31
relative error = 2.7271267576995411858810815523162e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.531
y[1] (analytic) = 0.76926344217260413249303721896112
y[1] (numeric) = 0.76926344217260413249303721896147
absolute error = 3.5e-31
relative error = 4.5498067477574016227491110653938e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.532
y[1] (analytic) = 0.76848541483993850482954560177924
y[1] (numeric) = 0.76848541483993850482954560177936
absolute error = 1.2e-31
relative error = 1.5615130447855514768312734863600e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.533
y[1] (analytic) = 0.76770713245444905520873191534424
y[1] (numeric) = 0.76770713245444905520873191534458
absolute error = 3.4e-31
relative error = 4.4287721922418569657120023579214e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1739.5MB, alloc=4.6MB, time=158.48
x[1] = 1.534
y[1] (analytic) = 0.76692859518649852581344104486091
y[1] (numeric) = 0.7669285951864985258134410448612
absolute error = 2.9e-31
relative error = 3.7813168242798274937685035419307e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.535
y[1] (analytic) = 0.76614980320640743290731695046049
y[1] (numeric) = 0.76614980320640743290731695046071
absolute error = 2.2e-31
relative error = 2.8715010965124542753139865244909e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.536
y[1] (analytic) = 0.7653707566844540735584338581194
y[1] (numeric) = 0.76537075668445407355843385811966
absolute error = 2.6e-31
relative error = 3.3970464344144313372457744579184e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.537
y[1] (analytic) = 0.76459145579087453236212925857649
y[1] (numeric) = 0.76459145579087453236212925857666
absolute error = 1.7e-31
relative error = 2.2234096223865880827108494809723e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.538
y[1] (analytic) = 0.76381190069586268816303879013485
y[1] (numeric) = 0.76381190069586268816303879013502
absolute error = 1.7e-31
relative error = 2.2256788594825939813883442696032e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.539
y[1] (analytic) = 0.76303209156957022077633308123099
y[1] (numeric) = 0.76303209156957022077633308123115
absolute error = 1.6e-31
relative error = 2.0968973882982723613935613292814e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1743.3MB, alloc=4.6MB, time=158.85
TOP MAIN SOLVE Loop
x[1] = 1.54
y[1] (analytic) = 0.76225202858210661770815662864271
y[1] (numeric) = 0.76225202858210661770815662864296
absolute error = 2.5e-31
relative error = 3.2797551285633743636310715653027e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.541
y[1] (analytic) = 0.76147171190353918087526878720604
y[1] (numeric) = 0.76147171190353918087526878720634
absolute error = 3.0e-31
relative error = 3.9397392616208315251424719144002e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.542
y[1] (analytic) = 0.76069114170389303332388694690175
y[1] (numeric) = 0.7606911417038930333238869469019
absolute error = 1.5e-31
relative error = 1.9718909788276339050056167771729e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.543
y[1] (analytic) = 0.75991031815315112594773197316772
y[1] (numeric) = 0.75991031815315112594773197316798
absolute error = 2.6e-31
relative error = 3.4214563717451723089857888325957e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.544
y[1] (analytic) = 0.75912924142125424420527598628979
y[1] (numeric) = 0.75912924142125424420527598629005
absolute error = 2.6e-31
relative error = 3.4249767472166363420726290711976e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1747.1MB, alloc=4.6MB, time=159.22
x[1] = 1.545
y[1] (analytic) = 0.75834791167810101483619255571035
y[1] (numeric) = 0.75834791167810101483619255571047
absolute error = 1.2e-31
relative error = 1.5823871623046927063763282832818e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.546
y[1] (analytic) = 0.75756632909354791257700938509647
y[1] (numeric) = 0.75756632909354791257700938509668
absolute error = 2.1e-31
relative error = 2.7720344996229128327175451788693e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.547
y[1] (analytic) = 0.75678449383740926687596356399942
y[1] (numeric) = 0.75678449383740926687596356399974
absolute error = 3.2e-31
relative error = 4.2284164462379977488645120844110e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.548
y[1] (analytic) = 0.75600240607945726860705946192897
y[1] (numeric) = 0.75600240607945726860705946192919
absolute error = 2.2e-31
relative error = 2.9100436484176690307641824680767e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.549
y[1] (analytic) = 0.75522006598942197678332934066406
y[1] (numeric) = 0.75522006598942197678332934066418
absolute error = 1.2e-31
relative error = 1.5889408320048634049546869944075e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.55
y[1] (analytic) = 0.75443747373699132526929676061439
y[1] (numeric) = 0.75443747373699132526929676061471
absolute error = 3.2e-31
relative error = 4.2415708543072317337827810104762e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1751.0MB, alloc=4.6MB, time=159.60
x[1] = 1.551
y[1] (analytic) = 0.75365462949181112949264285704066
y[1] (numeric) = 0.75365462949181112949264285704093
absolute error = 2.7e-31
relative error = 3.5825428443537969130719340707882e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.552
y[1] (analytic) = 0.75287153342348509315507556193209
y[1] (numeric) = 0.75287153342348509315507556193229
absolute error = 2.0e-31
relative error = 2.6564957116993473388041398278307e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.553
y[1] (analytic) = 0.75208818570157481494240184734221
y[1] (numeric) = 0.75208818570157481494240184734242
absolute error = 2.1e-31
relative error = 2.7922257521450689119141187812818e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.554
y[1] (analytic) = 0.75130458649559979523380306596939
y[1] (numeric) = 0.75130458649559979523380306596948
absolute error = 9e-32
relative error = 1.1979162861203577611218159764990e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.555
y[1] (analytic) = 0.75052073597503744281031346476557
y[1] (numeric) = 0.75052073597503744281031346476584
absolute error = 2.7e-31
relative error = 3.5975022015778160384457511523183e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1754.8MB, alloc=4.6MB, time=159.97
x[1] = 1.556
y[1] (analytic) = 0.74973663430932308156250194735461
y[1] (numeric) = 0.74973663430932308156250194735477
absolute error = 1.6e-31
relative error = 2.1340827255613055117433061644700e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.557
y[1] (analytic) = 0.74895228166784995719735716102574
y[1] (numeric) = 0.74895228166784995719735716102594
absolute error = 2.0e-31
relative error = 2.6703970986591806801113400106323e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.558
y[1] (analytic) = 0.74816767821996924394437598407511
y[1] (numeric) = 0.74816767821996924394437598407543
absolute error = 3.2e-31
relative error = 4.2771160705757807565874360515826e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.559
y[1] (analytic) = 0.74738282413499005126085548924976
y[1] (numeric) = 0.74738282413499005126085548924988
absolute error = 1.2e-31
relative error = 1.6056028600722293125835516683023e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.56
y[1] (analytic) = 0.74659771958217943053638845904851
y[1] (numeric) = 0.7465977195821794305363884590486
absolute error = 9e-32
relative error = 1.2054684556278440236876776565866e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.561
y[1] (analytic) = 0.74581236473076238179656252863092
y[1] (numeric) = 0.7458123647307623817965625286311
absolute error = 1.8e-31
relative error = 2.4134756744745019642942628056707e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1758.6MB, alloc=4.6MB, time=160.34
x[1] = 1.562
y[1] (analytic) = 0.74502675974992186040586303207155
y[1] (numeric) = 0.74502675974992186040586303207183
absolute error = 2.8e-31
relative error = 3.7582542685310487848731349457145e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.563
y[1] (analytic) = 0.74424090480879878376977962769744
y[1] (numeric) = 0.74424090480879878376977962769768
absolute error = 2.4e-31
relative error = 3.2247622839496822211680537729904e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.564
y[1] (analytic) = 0.74345480007649203803611677823774
y[1] (numeric) = 0.74345480007649203803611677823784
absolute error = 1.0e-31
relative error = 1.3450716841119496781480260713040e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.565
y[1] (analytic) = 0.74266844572205848479550816150937
y[1] (numeric) = 0.74266844572205848479550816150958
absolute error = 2.1e-31
relative error = 2.8276413412963540918429841258357e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.566
y[1] (analytic) = 0.74188184191451296778113508735728
y[1] (numeric) = 0.74188184191451296778113508735752
absolute error = 2.4e-31
relative error = 3.2350165004800750465127299808464e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.567
y[1] (analytic) = 0.74109498882282831956764899655778
y[1] (numeric) = 0.74109498882282831956764899655794
absolute error = 1.6e-31
memory used=1762.4MB, alloc=4.6MB, time=160.71
relative error = 2.1589675063671330546561116038715e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.568
y[1] (analytic) = 0.74030788661593536826929811739341
y[1] (numeric) = 0.74030788661593536826929811739364
absolute error = 2.3e-31
relative error = 3.1068154771573005571527343264804e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.569
y[1] (analytic) = 0.73952053546272294423725835559858
y[1] (numeric) = 0.73952053546272294423725835559885
absolute error = 2.7e-31
relative error = 3.6510142322289832627986071401052e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.57
y[1] (analytic) = 0.73873293553203788675616849336738
y[1] (numeric) = 0.73873293553203788675616849336767
absolute error = 2.9e-31
relative error = 3.9256405942039263134999029894947e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.571
y[1] (analytic) = 0.73794508699268505073986977311329
y[1] (numeric) = 0.73794508699268505073986977311355
absolute error = 2.6e-31
relative error = 3.5232973914030174194336255004897e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.572
y[1] (analytic) = 0.73715699001342731342634994166106
y[1] (numeric) = 0.7371569900134273134263499416612
absolute error = 1.4e-31
relative error = 1.8991883940142777485944806752892e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1766.2MB, alloc=4.6MB, time=161.08
x[1] = 1.573
y[1] (analytic) = 0.73636864476298558107189183054622
y[1] (numeric) = 0.73636864476298558107189183054641
absolute error = 1.9e-31
relative error = 2.5802293640728708151702650751884e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.574
y[1] (analytic) = 0.73558005141003879564442654809307
y[1] (numeric) = 0.73558005141003879564442654809324
absolute error = 1.7e-31
relative error = 2.3111012822346902031743621881993e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.575
y[1] (analytic) = 0.73479121012322394151609135893159
y[1] (numeric) = 0.73479121012322394151609135893188
absolute error = 2.9e-31
relative error = 3.9466993617325282765267100037594e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.576
y[1] (analytic) = 0.73400212107113605215499232661461
y[1] (numeric) = 0.73400212107113605215499232661471
absolute error = 1.0e-31
relative error = 1.3623938831957199176395114858794e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.577
y[1] (analytic) = 0.73321278442232821681617179498165
y[1] (numeric) = 0.73321278442232821681617179498183
absolute error = 1.8e-31
relative error = 2.4549490110407100618591403000855e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.578
y[1] (analytic) = 0.73242320034531158723178078392118
y[1] (numeric) = 0.73242320034531158723178078392146
absolute error = 2.8e-31
relative error = 3.8229264156022081380793222629407e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1770.0MB, alloc=4.6MB, time=161.45
x[1] = 1.579
y[1] (analytic) = 0.73163336900855538430045637516436
y[1] (numeric) = 0.73163336900855538430045637516463
absolute error = 2.7e-31
relative error = 3.6903729577818469364184569188642e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.58
y[1] (analytic) = 0.73084329058048690477590416374714
y[1] (numeric) = 0.73084329058048690477590416374741
absolute error = 2.7e-31
relative error = 3.6943624369260761549420746255295e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.581
y[1] (analytic) = 0.73005296522949152795468585076791
y[1] (numeric) = 0.73005296522949152795468585076804
absolute error = 1.3e-31
relative error = 1.7806927194540550999538836814959e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.582
y[1] (analytic) = 0.72926239312391272236321205306015
y[1] (numeric) = 0.72926239312391272236321205306031
absolute error = 1.6e-31
relative error = 2.1939976818853125398706997755705e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.583
y[1] (analytic) = 0.72847157443205205244394040539829
y[1] (numeric) = 0.72847157443205205244394040539844
absolute error = 1.5e-31
relative error = 2.0591057395334401051529286483636e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1773.8MB, alloc=4.6MB, time=161.82
x[1] = 1.584
y[1] (analytic) = 0.72768050932216918524077903084256
y[1] (numeric) = 0.72768050932216918524077903084283
absolute error = 2.7e-31
relative error = 3.7104195665691756920989128676757e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.585
y[1] (analytic) = 0.72688919796248189708369545482958
y[1] (numeric) = 0.72688919796248189708369545482987
absolute error = 2.9e-31
relative error = 3.9896039288090815332165000378600e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.586
y[1] (analytic) = 0.72609764052116608027253103860294
y[1] (numeric) = 0.72609764052116608027253103860318
absolute error = 2.4e-31
relative error = 3.3053405851551433265490022224222e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.587
y[1] (analytic) = 0.72530583716635574976002100757727
y[1] (numeric) = 0.72530583716635574976002100757748
absolute error = 2.1e-31
relative error = 2.8953303453400239899048541134890e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.588
y[1] (analytic) = 0.72451378806614304983402015022003
y[1] (numeric) = 0.72451378806614304983402015022035
absolute error = 3.2e-31
relative error = 4.4167551435306326350227975845343e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.589
y[1] (analytic) = 0.72372149338857826079893426303097
y[1] (numeric) = 0.72372149338857826079893426303117
absolute error = 2.0e-31
relative error = 2.7634939935743573533038281645840e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1777.7MB, alloc=4.6MB, time=162.19
x[1] = 1.59
y[1] (analytic) = 0.72292895330166980565635741719035
y[1] (numeric) = 0.72292895330166980565635741719045
absolute error = 1.0e-31
relative error = 1.3832617927846523582225228410405e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.591
y[1] (analytic) = 0.72213616797338425678491512244657
y[1] (numeric) = 0.72213616797338425678491512244674
absolute error = 1.7e-31
relative error = 2.3541266528318476779126782677364e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.592
y[1] (analytic) = 0.7213431375716463426193134638021
y[1] (numeric) = 0.72134313757164634261931346380245
absolute error = 3.5e-31
relative error = 4.8520597448012287565632971941311e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.593
y[1] (analytic) = 0.72054986226433895432859428655344
y[1] (numeric) = 0.72054986226433895432859428655364
absolute error = 2.0e-31
relative error = 2.7756580144432606426455553528388e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.594
y[1] (analytic) = 0.71975634221930315249359650523297
y[1] (numeric) = 0.71975634221930315249359650523316
absolute error = 1.9e-31
relative error = 2.6397822270541208176120028522914e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1781.5MB, alloc=4.6MB, time=162.55
x[1] = 1.595
y[1] (analytic) = 0.71896257760433817378362361199991
y[1] (numeric) = 0.71896257760433817378362361200019
absolute error = 2.8e-31
relative error = 3.8945003359283396737704729274874e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.596
y[1] (analytic) = 0.71816856858720143763231746001324
y[1] (numeric) = 0.71816856858720143763231746001347
absolute error = 2.3e-31
relative error = 3.2025907295338970049017284517956e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.597
y[1] (analytic) = 0.71737431533560855291273839731928
y[1] (numeric) = 0.71737431533560855291273839731939
absolute error = 1.1e-31
relative error = 1.5333696460618164618911340887504e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.598
y[1] (analytic) = 0.71657981801723332461165182677987
y[1] (numeric) = 0.71657981801723332461165182678009
absolute error = 2.2e-31
relative error = 3.0701394941422858904664175946521e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.599
y[1] (analytic) = 0.71578507679970776050302126756069
y[1] (numeric) = 0.71578507679970776050302126756078
absolute error = 9e-32
relative error = 1.2573606647737356829568849166325e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.6
y[1] (analytic) = 0.71499009185062207782070799368926
y[1] (numeric) = 0.71499009185062207782070799368945
absolute error = 1.9e-31
relative error = 2.6573794821158917898408513577288e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1785.3MB, alloc=4.6MB, time=162.93
x[1] = 1.601
y[1] (analytic) = 0.71419486333752470993037732519595
y[1] (numeric) = 0.71419486333752470993037732519617
absolute error = 2.2e-31
relative error = 3.0803917991220438833223853644179e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.602
y[1] (analytic) = 0.71339939142792231300061164733289
y[1] (numeric) = 0.71339939142792231300061164733304
absolute error = 1.5e-31
relative error = 2.1026090266178075304717258713899e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.603
y[1] (analytic) = 0.71260367628927977267323023336994
y[1] (numeric) = 0.71260367628927977267323023337013
absolute error = 1.9e-31
relative error = 2.6662786949034760596082659773845e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.604
y[1] (analytic) = 0.71180771808902021073281594645608
y[1] (numeric) = 0.7118077180890202107328159464564
absolute error = 3.2e-31
relative error = 4.4955960980459628677169292598058e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.605
y[1] (analytic) = 0.7110115169945249917754488960287
y[1] (numeric) = 0.71101151699452499177544889602883
absolute error = 1.3e-31
relative error = 1.8283810724967629482287743946981e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.606
y[1] (analytic) = 0.71021507317313372987664712424667
y[1] (numeric) = 0.71021507317313372987664712424699
absolute error = 3.2e-31
relative error = 4.5056773938954619556124060257807e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1789.1MB, alloc=4.6MB, time=163.30
TOP MAIN SOLVE Loop
x[1] = 1.607
y[1] (analytic) = 0.7094183867921442952585143979238
y[1] (numeric) = 0.70941838679214429525851439792404
absolute error = 2.4e-31
relative error = 3.3830529976144907349250244074956e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.608
y[1] (analytic) = 0.70862145801881282095609518141926
y[1] (numeric) = 0.70862145801881282095609518141947
absolute error = 2.1e-31
relative error = 2.9635004362854733039834808881146e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.609
y[1] (analytic) = 0.70782428702035370948293686595257
y[1] (numeric) = 0.70782428702035370948293686595267
absolute error = 1.0e-31
relative error = 1.4127800053450902373570349680136e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.61
y[1] (analytic) = 0.70702687396393963949585933079012
y[1] (numeric) = 0.70702687396393963949585933079044
absolute error = 3.2e-31
relative error = 4.5259948636170355901095766338530e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.611
y[1] (analytic) = 0.70622921901670157245893191175542
y[1] (numeric) = 0.70622921901670157245893191175568
absolute error = 2.6e-31
relative error = 3.6815242558500156814973207402555e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1792.9MB, alloc=4.6MB, time=163.67
x[1] = 1.612
y[1] (analytic) = 0.70543132234572875930665785249803
y[1] (numeric) = 0.70543132234572875930665785249834
absolute error = 3.1e-31
relative error = 4.3944745601765380110319152529049e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.613
y[1] (analytic) = 0.70463318411806874710636631396359
y[1] (numeric) = 0.70463318411806874710636631396386
absolute error = 2.7e-31
relative error = 3.8317809334786969470885825985374e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.614
y[1] (analytic) = 0.70383480450072738571981201748793
y[1] (numeric) = 0.70383480450072738571981201748816
absolute error = 2.3e-31
relative error = 3.2678122555072126161534788860285e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.615
y[1] (analytic) = 0.70303618366066883446398259694222
y[1] (numeric) = 0.7030361836606688344639825969424
absolute error = 1.8e-31
relative error = 2.5603234112752260946175915637150e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.616
y[1] (analytic) = 0.70223732176481556877111373534439
y[1] (numeric) = 0.70223732176481556877111373534471
absolute error = 3.2e-31
relative error = 4.5568640412873177904627545999611e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.617
y[1] (analytic) = 0.70143821898004838684791216134964
y[1] (numeric) = 0.70143821898004838684791216134993
absolute error = 2.9e-31
relative error = 4.1343626873038795808295032525224e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1796.7MB, alloc=4.6MB, time=164.04
x[1] = 1.618
y[1] (analytic) = 0.7006388754732064163339865810225
y[1] (numeric) = 0.70063887547320641633398658102262
absolute error = 1.2e-31
relative error = 1.7127225479595728982432441361442e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.619
y[1] (analytic) = 0.69983929141108712095948662029237
y[1] (numeric) = 0.69983929141108712095948662029252
absolute error = 1.5e-31
relative error = 2.1433492208983401298772501230748e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.62
y[1] (analytic) = 0.69903946696044630720194985348533
y[1] (numeric) = 0.69903946696044630720194985348556
absolute error = 2.3e-31
relative error = 3.2902291053763073312558156661135e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.621
y[1] (analytic) = 0.69823940228799813094235699331733
y[1] (numeric) = 0.69823940228799813094235699331761
absolute error = 2.8e-31
relative error = 4.0100859258657287123885612283190e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.622
y[1] (analytic) = 0.69743909756041510412039531773212
y[1] (numeric) = 0.69743909756041510412039531773226
absolute error = 1.4e-31
relative error = 2.0073437306527343335626409746894e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1800.5MB, alloc=4.6MB, time=164.41
x[1] = 1.623
y[1] (analytic) = 0.69663855294432810138893040895743
y[1] (numeric) = 0.69663855294432810138893040895762
absolute error = 1.9e-31
relative error = 2.7273827897834396457044773690760e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.624
y[1] (analytic) = 0.69583776860632636676768628015133
y[1] (numeric) = 0.69583776860632636676768628015154
absolute error = 2.1e-31
relative error = 3.0179448353400393076723175910420e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.625
y[1] (analytic) = 0.69503674471295752029613396499805
y[1] (numeric) = 0.69503674471295752029613396499829
absolute error = 2.4e-31
relative error = 3.4530548467493951355973265774577e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.626
y[1] (analytic) = 0.69423548143072756468558864561374
y[1] (numeric) = 0.69423548143072756468558864561396
absolute error = 2.2e-31
relative error = 3.1689535594840108016918316388645e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.627
y[1] (analytic) = 0.69343397892610089197051539411172
y[1] (numeric) = 0.69343397892610089197051539411185
absolute error = 1.3e-31
relative error = 1.8747278609180193010412968234438e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.628
y[1] (analytic) = 0.6926322373655002901590436031728
y[1] (numeric) = 0.69263223736550029015904360317295
absolute error = 1.5e-31
relative error = 2.1656514367644914735310373620431e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1804.4MB, alloc=4.6MB, time=164.79
x[1] = 1.629
y[1] (analytic) = 0.69183025691530694988269018096057
y[1] (numeric) = 0.6918302569153069498826901809608
absolute error = 2.3e-31
relative error = 3.3245149037787217036410633713274e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.63
y[1] (analytic) = 0.69102803774186047104529158571374
y[1] (numeric) = 0.69102803774186047104529158571399
absolute error = 2.5e-31
relative error = 3.6177982128908881212846529537864e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.631
y[1] (analytic) = 0.69022558001145886947114477534327
y[1] (numeric) = 0.69022558001145886947114477534348
absolute error = 2.1e-31
relative error = 3.0424835891552100657929403023436e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.632
y[1] (analytic) = 0.68942288389035858355235714735584
y[1] (numeric) = 0.68942288389035858355235714735604
absolute error = 2.0e-31
relative error = 2.9009771023470512455219129156926e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.633
y[1] (analytic) = 0.68861994954477448089540554441878
y[1] (numeric) = 0.68861994954477448089540554441901
absolute error = 2.3e-31
relative error = 3.3400136047764219248233433468144e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1808.2MB, alloc=4.6MB, time=165.16
x[1] = 1.634
y[1] (analytic) = 0.68781677714087986496690440087544
y[1] (numeric) = 0.68781677714087986496690440087572
absolute error = 2.8e-31
relative error = 4.0708515596828761011329100560388e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.635
y[1] (analytic) = 0.68701336684480648173858310551453
y[1] (numeric) = 0.68701336684480648173858310551477
absolute error = 2.4e-31
relative error = 3.4933818115101539413842332230808e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.636
y[1] (analytic) = 0.68620971882264452633147265589036
y[1] (numeric) = 0.68620971882264452633147265589056
absolute error = 2.0e-31
relative error = 2.9145608771491523058747969164276e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.637
y[1] (analytic) = 0.6854058332404426496593016794859
y[1] (numeric) = 0.68540583324044264965930167948623
absolute error = 3.3e-31
relative error = 4.8146657643667135327570816954946e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.638
y[1] (analytic) = 0.6846017102642079650711018970042
y[1] (numeric) = 0.68460171026420796507110189700447
absolute error = 2.7e-31
relative error = 3.9438989992560644801202731283838e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.639
y[1] (analytic) = 0.68379735005990605499302310306517
y[1] (numeric) = 0.68379735005990605499302310306541
absolute error = 2.4e-31
relative error = 3.5098117882289848330052663659883e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1812.0MB, alloc=4.6MB, time=165.53
x[1] = 1.64
y[1] (analytic) = 0.68299275279346097756935773958471
y[1] (numeric) = 0.68299275279346097756935773958496
absolute error = 2.5e-31
relative error = 3.6603609478650022687946978394207e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.641
y[1] (analytic) = 0.68218791863075527330277513710071
y[1] (numeric) = 0.68218791863075527330277513710098
absolute error = 2.7e-31
relative error = 3.9578537324719416788062373087510e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.642
y[1] (analytic) = 0.68138284773762997169376549930833
y[1] (numeric) = 0.68138284773762997169376549930858
absolute error = 2.5e-31
relative error = 3.6690092923540072319090108532132e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.643
y[1] (analytic) = 0.68057754027988459787929370605972
y[1] (numeric) = 0.68057754027988459787929370605995
absolute error = 2.3e-31
relative error = 3.3794826656403249115261930000702e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.644
y[1] (analytic) = 0.67977199642327717927066301007781
y[1] (numeric) = 0.67977199642327717927066301007814
absolute error = 3.3e-31
relative error = 4.8545689104044406163341750737917e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.645
y[1] (analytic) = 0.67896621633352425219058870262794
y[1] (numeric) = 0.67896621633352425219058870262811
absolute error = 1.7e-31
relative error = 2.5038064620948972549465345044281e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1815.8MB, alloc=4.6MB, time=165.91
x[1] = 1.646
y[1] (analytic) = 0.67816020017630086850948182338224
y[1] (numeric) = 0.67816020017630086850948182338252
absolute error = 2.8e-31
relative error = 4.1288179389944821466045103478071e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.647
y[1] (analytic) = 0.67735394811724060228094298971336
y[1] (numeric) = 0.67735394811724060228094298971372
absolute error = 3.6e-31
relative error = 5.3147988728883732425524892004734e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.648
y[1] (analytic) = 0.67654746032193555637646642063699
y[1] (numeric) = 0.67654746032193555637646642063725
absolute error = 2.6e-31
relative error = 3.8430415491660973506446022525845e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.649
y[1] (analytic) = 0.67574073695593636911935423062627
y[1] (numeric) = 0.67574073695593636911935423062652
absolute error = 2.5e-31
relative error = 3.6996437587320116486845046530924e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.65
y[1] (analytic) = 0.67493377818475222091784106851159
y[1] (numeric) = 0.67493377818475222091784106851192
absolute error = 3.3e-31
relative error = 4.8893685672028675653619276362027e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1819.6MB, alloc=4.6MB, time=166.29
x[1] = 1.651
y[1] (analytic) = 0.67412658417385084089742917667182
y[1] (numeric) = 0.67412658417385084089742917667203
absolute error = 2.1e-31
relative error = 3.1151419470774497048846994453589e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.652
y[1] (analytic) = 0.673319155088658513532433945718
y[1] (numeric) = 0.67331915508865851353243394571831
absolute error = 3.1e-31
relative error = 4.6040573427497560496013497198329e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.653
y[1] (analytic) = 0.67251149109456008527674003986866
y[1] (numeric) = 0.67251149109456008527674003986892
absolute error = 2.6e-31
relative error = 3.8661049430818138792120021656889e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.654
y[1] (analytic) = 0.67170359235689897119376816820083
y[1] (numeric) = 0.67170359235689897119376816820109
absolute error = 2.6e-31
relative error = 3.8707549424844099140743032134406e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.655
y[1] (analytic) = 0.6708954590409771615856525769654
y[1] (numeric) = 0.67089545904097716158565257696567
absolute error = 2.7e-31
relative error = 4.0244720151475769042854125143764e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.656
y[1] (analytic) = 0.67008709131205522862162933814118
y[1] (numeric) = 0.67008709131205522862162933814148
absolute error = 3.0e-31
relative error = 4.4770299844545421703328235005895e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1823.4MB, alloc=4.6MB, time=166.66
x[1] = 1.657
y[1] (analytic) = 0.66927848933535233296563550940066
y[1] (numeric) = 0.66927848933535233296563550940095
absolute error = 2.9e-31
relative error = 4.3330243631166669261230189786269e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.658
y[1] (analytic) = 0.66846965327604623040311924065253
y[1] (numeric) = 0.66846965327604623040311924065274
absolute error = 2.1e-31
relative error = 3.1415038658947165399936820606718e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.659
y[1] (analytic) = 0.66766058329927327846706090232085
y[1] (numeric) = 0.66766058329927327846706090232099
absolute error = 1.4e-31
relative error = 2.0968738233457488628702782510364e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.66
y[1] (analytic) = 0.6668512795701284430632053105147
y[1] (numeric) = 0.66685127957012844306320531051484
absolute error = 1.4e-31
relative error = 2.0994186303466049510907561181526e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.661
y[1] (analytic) = 0.66604174225366530509450512423555
y[1] (numeric) = 0.66604174225366530509450512423585
absolute error = 3.0e-31
relative error = 4.5042221976193124274596212332104e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1827.3MB, alloc=4.6MB, time=167.04
x[1] = 1.662
y[1] (analytic) = 0.66523197151489606708477548976488
y[1] (numeric) = 0.6652319715148960670847754897651
absolute error = 2.2e-31
relative error = 3.3071170572124808984147833956986e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.663
y[1] (analytic) = 0.6644219675187915598015600073654
y[1] (numeric) = 0.66442196751879155980156000736568
absolute error = 2.8e-31
relative error = 4.2141893809686670364829985019785e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.664
y[1] (analytic) = 0.66361173043028124887820809543006
y[1] (numeric) = 0.66361173043028124887820809543021
absolute error = 1.5e-31
relative error = 2.2603578737636394570139532857650e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.665
y[1] (analytic) = 0.66280126041425324143516382719719
y[1] (numeric) = 0.66280126041425324143516382719733
absolute error = 1.4e-31
relative error = 2.1122470393689275986433605179476e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.666
y[1] (analytic) = 0.66199055763555429270046631515455
y[1] (numeric) = 0.66199055763555429270046631515478
absolute error = 2.3e-31
relative error = 3.4743697979846702865611885749189e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.667
y[1] (analytic) = 0.66117962225898981262946171824076
y[1] (numeric) = 0.66117962225898981262946171824101
absolute error = 2.5e-31
relative error = 3.7811207663334915079973870256214e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1831.1MB, alloc=4.6MB, time=167.40
x[1] = 1.668
y[1] (analytic) = 0.66036845444932387252372694695073
y[1] (numeric) = 0.66036845444932387252372694695105
absolute error = 3.2e-31
relative error = 4.8457796226327242678404806579511e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.669
y[1] (analytic) = 0.65955705437127921164920514144635
y[1] (numeric) = 0.65955705437127921164920514144658
absolute error = 2.3e-31
relative error = 3.4871888409903645367504356513601e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.67
y[1] (analytic) = 0.65874542218953724385355299776381
y[1] (numeric) = 0.65874542218953724385355299776405
absolute error = 2.4e-31
relative error = 3.6432890751982501521280609004152e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.671
y[1] (analytic) = 0.65793355806873806418270001720857
y[1] (numeric) = 0.65793355806873806418270001720872
absolute error = 1.5e-31
relative error = 2.2798654690954165634114041857713e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.672
y[1] (analytic) = 0.65712146217348045549661975401646
y[1] (numeric) = 0.65712146217348045549661975401664
absolute error = 1.8e-31
relative error = 2.7392196170953840085062028172893e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.673
y[1] (analytic) = 0.65630913466832189508431313636016
y[1] (numeric) = 0.65630913466832189508431313636045
absolute error = 2.9e-31
relative error = 4.4186494546743879733033644290512e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1834.9MB, alloc=4.6MB, time=167.77
TOP MAIN SOLVE Loop
x[1] = 1.674
y[1] (analytic) = 0.65549657571777856127800393576872
y[1] (numeric) = 0.655496575717778561278003935769
absolute error = 2.8e-31
relative error = 4.2715707506693808311467204228457e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.675
y[1] (analytic) = 0.65468378548632534006654646002467
y[1] (numeric) = 0.65468378548632534006654646002485
absolute error = 1.8e-31
relative error = 2.7494189407224861979249004258124e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.676
y[1] (analytic) = 0.6538707641383958317080455445973
y[1] (numeric) = 0.65387076413839583170804554459761
absolute error = 3.1e-31
relative error = 4.7409980228812702130495424130689e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.677
y[1] (analytic) = 0.65305751183838235734168891766498
y[1] (numeric) = 0.65305751183838235734168891766521
absolute error = 2.3e-31
relative error = 3.5218950219643141799430265028315e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.678
y[1] (analytic) = 0.65224402875063596559879201376903
y[1] (numeric) = 0.65224402875063596559879201376926
absolute error = 2.3e-31
relative error = 3.5262875528437061255732391824337e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1838.7MB, alloc=4.6MB, time=168.14
x[1] = 1.679
y[1] (analytic) = 0.65143031503946643921305531114444
y[1] (numeric) = 0.6514303150394664392130553111445
absolute error = 6e-32
relative error = 9.2105016630005840240877377590909e-30 %
Correct digits = 31
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.68
y[1] (analytic) = 0.65061637086914230163003426775646
y[1] (numeric) = 0.65061637086914230163003426775658
absolute error = 1.2e-31
relative error = 1.8444048654923172469029231793352e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.681
y[1] (analytic) = 0.64980219640389082361582193107612
y[1] (numeric) = 0.64980219640389082361582193107631
absolute error = 1.9e-31
relative error = 2.9239667248201122904286822157574e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.682
y[1] (analytic) = 0.64898779180789802986494429661248
y[1] (numeric) = 0.64898779180789802986494429661257
absolute error = 9e-32
relative error = 1.3867749306852943026061580358114e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.683
y[1] (analytic) = 0.64817315724530870560746849021998
y[1] (numeric) = 0.64817315724530870560746849022016
absolute error = 1.8e-31
relative error = 2.7770357039311471611017751455444e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.684
y[1] (analytic) = 0.64735829288022640321532384919267
y[1] (numeric) = 0.64735829288022640321532384919281
absolute error = 1.4e-31
relative error = 2.1626354607602541791634095986799e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1842.5MB, alloc=4.6MB, time=168.52
x[1] = 1.685
y[1] (analytic) = 0.64654319887671344880783597714562
y[1] (numeric) = 0.6465431988767134488078359771457
absolute error = 8e-32
relative error = 1.2373496487008110509985562643775e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.686
y[1] (analytic) = 0.64572787539879094885647384768551
y[1] (numeric) = 0.6457278753987909488564738476857
absolute error = 1.9e-31
relative error = 2.9424159501037354958971041988444e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.687
y[1] (analytic) = 0.6449123226104387967888100318616
y[1] (numeric) = 0.64491232261043879678881003186186
absolute error = 2.6e-31
relative error = 4.0315557771882391513465847316161e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.688
y[1] (analytic) = 0.64409654067559567959169412438215
y[1] (numeric) = 0.64409654067559567959169412438237
absolute error = 2.2e-31
relative error = 3.4156370374112091558070058598875e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.689
y[1] (analytic) = 0.64328052975815908441363944357833
y[1] (numeric) = 0.64328052975815908441363944357854
absolute error = 2.1e-31
relative error = 3.2645166499746132462252184028718e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1846.3MB, alloc=4.6MB, time=168.88
x[1] = 1.69
y[1] (analytic) = 0.6424642900219853051664230800898
y[1] (numeric) = 0.64246429002198530516642308009016
absolute error = 3.6e-31
relative error = 5.6034242772883252503993217570964e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.691
y[1] (analytic) = 0.64164782163088944912589936924054
y[1] (numeric) = 0.64164782163088944912589936924079
absolute error = 2.5e-31
relative error = 3.8962183236992820210748052936212e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.692
y[1] (analytic) = 0.64083112474864544353202686206517
y[1] (numeric) = 0.64083112474864544353202686206544
absolute error = 2.7e-31
relative error = 4.2132784999464979929464243600609e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.693
y[1] (analytic) = 0.64001419953898604218810886994716
y[1] (numeric) = 0.64001419953898604218810886994728
absolute error = 1.2e-31
relative error = 1.8749584007110810870203648613273e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.694
y[1] (analytic) = 0.63919704616560283205924765781362
y[1] (numeric) = 0.63919704616560283205924765781385
absolute error = 2.3e-31
relative error = 3.5982644378555485667764559886456e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.695
y[1] (analytic) = 0.6383796647921462398700123608373
y[1] (numeric) = 0.63837966479214623987001236083749
absolute error = 1.9e-31
relative error = 2.9762852809834287044089075911480e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1850.1MB, alloc=4.6MB, time=169.26
x[1] = 1.696
y[1] (analytic) = 0.63756205558222553870132069957849
y[1] (numeric) = 0.63756205558222553870132069957861
absolute error = 1.2e-31
relative error = 1.8821697268419663351234391137042e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.697
y[1] (analytic) = 0.63674421869940885458653456850429
y[1] (numeric) = 0.63674421869940885458653456850447
absolute error = 1.8e-31
relative error = 2.8268807900236866298436578767274e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.698
y[1] (analytic) = 0.63592615430722317310676957281001
y[1] (numeric) = 0.63592615430722317310676957281024
absolute error = 2.3e-31
relative error = 3.6167721431517719678136420519046e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.699
y[1] (analytic) = 0.63510786256915434598541858846281
y[1] (numeric) = 0.63510786256915434598541858846307
absolute error = 2.6e-31
relative error = 4.0937928078585177896026028482840e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.7
y[1] (analytic) = 0.6342893436486470976818894203837
y[1] (numeric) = 0.63428934364864709768188942038396
absolute error = 2.6e-31
relative error = 4.0990756443170234378906187678436e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.701
y[1] (analytic) = 0.63347059770910503198455663367606
y[1] (numeric) = 0.63347059770910503198455663367633
absolute error = 2.7e-31
relative error = 4.2622341269892094661114125883571e-29 %
Correct digits = 30
memory used=1854.0MB, alloc=4.6MB, time=169.42
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.702
y[1] (analytic) = 0.63265162491389063860292763280389
y[1] (numeric) = 0.63265162491389063860292763280406
absolute error = 1.7e-31
relative error = 2.6871028747162148086635367653972e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.703
y[1] (analytic) = 0.63183242542632529975902306361582
y[1] (numeric) = 0.63183242542632529975902306361603
absolute error = 2.1e-31
relative error = 3.3236660789971914824925699426548e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.704
y[1] (analytic) = 0.63101299940968929677797161310775
y[1] (numeric) = 0.63101299940968929677797161310802
absolute error = 2.7e-31
relative error = 4.2788341960083890874136897503028e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.705
y[1] (analytic) = 0.63019334702722181667781928180686
y[1] (numeric) = 0.63019334702722181667781928180698
absolute error = 1.2e-31
relative error = 1.9041775126010094626244116870535e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.706
y[1] (analytic) = 0.62937346844212095875855320365657
y[1] (numeric) = 0.62937346844212095875855320365672
absolute error = 1.5e-31
relative error = 2.3833225822386957292418260621893e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1857.8MB, alloc=4.6MB, time=169.58
x[1] = 1.707
y[1] (analytic) = 0.62855336381754374119034008827789
y[1] (numeric) = 0.62855336381754374119034008827807
absolute error = 1.8e-31
relative error = 2.8637186651386745166232151531308e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.708
y[1] (analytic) = 0.62773303331660610760097936047042
y[1] (numeric) = 0.6277330333166061076009793604706
absolute error = 1.8e-31
relative error = 2.8674610136251095292902886446323e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.709
y[1] (analytic) = 0.6269124771023829336625710718168
y[1] (numeric) = 0.62691247710238293366257107181711
absolute error = 3.1e-31
relative error = 4.9448688823810565461836682056818e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.71
y[1] (analytic) = 0.62609169533790803367739865924558
y[1] (numeric) = 0.62609169533790803367739865924595
absolute error = 3.7e-31
relative error = 5.9096774922131374046395525387708e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.711
y[1] (analytic) = 0.62527068818617416716302662540027
y[1] (numeric) = 0.62527068818617416716302662540055
absolute error = 2.8e-31
relative error = 4.4780605470607008642397236744266e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.712
y[1] (analytic) = 0.62444945581013304543661321565918
y[1] (numeric) = 0.62444945581013304543661321565932
absolute error = 1.4e-31
relative error = 2.2419748899992266861254776352943e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1861.6MB, alloc=4.6MB, time=169.73
x[1] = 1.713
y[1] (analytic) = 0.62362799837269533819843816664313
y[1] (numeric) = 0.62362799837269533819843816664327
absolute error = 1.4e-31
relative error = 2.2449280719486327055411271068803e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.714
y[1] (analytic) = 0.62280631603673068011464560104252
y[1] (numeric) = 0.62280631603673068011464560104271
absolute error = 1.9e-31
relative error = 3.0507076615580523957949274595386e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.715
y[1] (analytic) = 0.62198440896506767739920214358829
y[1] (numeric) = 0.62198440896506767739920214358841
absolute error = 1.2e-31
relative error = 1.9293088101624670108944109681707e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.716
y[1] (analytic) = 0.62116227732049391439507033298638
y[1] (numeric) = 0.62116227732049391439507033298665
absolute error = 2.7e-31
relative error = 4.3466902266618361220836864044963e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.717
y[1] (analytic) = 0.6203399212657559601545974046315
y[1] (numeric) = 0.62033992126575596015459740463169
absolute error = 1.9e-31
relative error = 3.0628368977498593701525742174803e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1865.4MB, alloc=4.6MB, time=169.89
x[1] = 1.718
y[1] (analytic) = 0.6195173409635593750191195189029
y[1] (numeric) = 0.61951734096355937501911951890311
absolute error = 2.1e-31
relative error = 3.3897356234351543109395085612849e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used
Radius of convergence = 9.763
Order of pole = 49.75
TOP MAIN SOLVE Loop
x[1] = 1.719
y[1] (analytic) = 0.61869453657656871719778150984944
y[1] (numeric) = 0.61869453657656871719778150984965
absolute error = 2.1e-31
relative error = 3.3942436466627940201930486855119e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.72
y[1] (analytic) = 0.6178715082674075493455722290549
y[1] (numeric) = 0.61787150826740754934557222905517
absolute error = 2.7e-31
relative error = 4.3698405960992647603460962539240e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.721
y[1] (analytic) = 0.61704825619865844514057555947605
y[1] (numeric) = 0.61704825619865844514057555947631
absolute error = 2.6e-31
relative error = 4.2136088610271204060218601999578e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.722
y[1] (analytic) = 0.61622478053286299586043717403552
y[1] (numeric) = 0.61622478053286299586043717403567
absolute error = 1.5e-31
relative error = 2.4341766955605344425616157404523e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.723
y[1] (analytic) = 0.61540108143252181695804711374787
y[1] (numeric) = 0.61540108143252181695804711374817
absolute error = 3.0e-31
relative error = 4.8748695615169264868730715275596e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1869.2MB, alloc=4.6MB, time=170.05
x[1] = 1.724
y[1] (analytic) = 0.61457715906009455463643826015214
y[1] (numeric) = 0.6145771590600945546364382601524
absolute error = 2.6e-31
relative error = 4.2305509758552008328692743278636e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.725
y[1] (analytic) = 0.61375301357799989242290077681267
y[1] (numeric) = 0.61375301357799989242290077681288
absolute error = 2.1e-31
relative error = 3.4215717944220208185060924412934e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.726
y[1] (analytic) = 0.61292864514861555774231259465286
y[1] (numeric) = 0.61292864514861555774231259465302
absolute error = 1.6e-31
relative error = 2.6104180521895028502596020241575e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.727
y[1] (analytic) = 0.61210405393427832848968601587246
y[1] (numeric) = 0.61210405393427832848968601587275
absolute error = 2.9e-31
relative error = 4.7377565650159429930222473966197e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.728
y[1] (analytic) = 0.61127924009728403960193051119866
y[1] (numeric) = 0.61127924009728403960193051119888
absolute error = 2.2e-31
relative error = 3.5990098398399294309639481929355e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1873.0MB, alloc=4.6MB, time=170.21
x[1] = 1.729
y[1] (analytic) = 0.61045420379988758962883178520987
y[1] (numeric) = 0.61045420379988758962883178521011
absolute error = 2.4e-31
relative error = 3.9314988496446519863328951078342e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.73
y[1] (analytic) = 0.6096289452043029473032471844726
y[1] (numeric) = 0.60962894520430294730324718447283
absolute error = 2.3e-31
relative error = 3.7727867387090823742549306597390e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.731
y[1] (analytic) = 0.6088034644727031581105175232176
y[1] (numeric) = 0.60880346447270315811051752321787
absolute error = 2.7e-31
relative error = 4.4349287702206555847085364234174e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.732
y[1] (analytic) = 0.60797776176722035085709540128205
y[1] (numeric) = 0.60797776176722035085709540128232
absolute error = 2.7e-31
relative error = 4.4409519061221242933678575799860e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used
Radius of convergence = 124.1
Order of pole = 100.1
TOP MAIN SOLVE Loop
x[1] = 1.733
y[1] (analytic) = 0.60715183724994574423839008903461
y[1] (numeric) = 0.60715183724994574423839008903471
absolute error = 1.0e-31
relative error = 1.6470344626303597026777633795367e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.734
y[1] (analytic) = 0.60632569108292965340582905399555
y[1] (numeric) = 0.6063256910829296534058290539958
absolute error = 2.5e-31
relative error = 4.1231965538766272380546423876344e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1876.8MB, alloc=4.6MB, time=170.36
x[1] = 1.735
y[1] (analytic) = 0.60549932342818149653313620386094
y[1] (numeric) = 0.60549932342818149653313620386129
absolute error = 3.5e-31
relative error = 5.7803532796434847248079099163491e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.736
y[1] (analytic) = 0.60467273444766980138182692062658
y[1] (numeric) = 0.60467273444766980138182692062689
absolute error = 3.1e-31
relative error = 5.1267401743054503999388970176988e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.737
y[1] (analytic) = 0.60384592430332221186591996050995
y[1] (numeric) = 0.60384592430332221186591996051017
absolute error = 2.2e-31
relative error = 3.6433134868604364292182505535916e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.738
y[1] (analytic) = 0.6030188931570254946158662943574
y[1] (numeric) = 0.60301889315702549461586629435764
absolute error = 2.4e-31
relative error = 3.9799748021743034975355164968980e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.739
y[1] (analytic) = 0.60219164117062554554169496321945
y[1] (numeric) = 0.60219164117062554554169496321963
absolute error = 1.8e-31
relative error = 2.9890816758945783978124062167850e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.74
y[1] (analytic) = 0.60136416850592739639537602376926
y[1] (numeric) = 0.60136416850592739639537602376959
absolute error = 3.3e-31
relative error = 5.4875234888017330767403966889740e-29 %
Correct digits = 30
h = 0.001
memory used=1880.7MB, alloc=4.6MB, time=170.52
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.741
y[1] (analytic) = 0.60053647532469522133240065823813
y[1] (numeric) = 0.60053647532469522133240065823839
absolute error = 2.6e-31
relative error = 4.3294622505556291086325214998418e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.742
y[1] (analytic) = 0.59970856178865234347257852352818
y[1] (numeric) = 0.59970856178865234347257852352835
absolute error = 1.7e-31
relative error = 2.8347102381358186541353634056670e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.743
y[1] (analytic) = 0.59888042805948124146005241416569
y[1] (numeric) = 0.59888042805948124146005241416582
absolute error = 1.3e-31
relative error = 2.1707171233034235185380255848372e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.744
y[1] (analytic) = 0.59805207429882355602253031374468
y[1] (numeric) = 0.59805207429882355602253031374497
absolute error = 2.9e-31
relative error = 4.8490760664948080196546192512319e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.745
y[1] (analytic) = 0.5972235006682800965297349095096
y[1] (numeric) = 0.59722350066828009652973490950982
absolute error = 2.2e-31
relative error = 3.6837130446779939016377395563709e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1884.5MB, alloc=4.6MB, time=170.68
x[1] = 1.746
y[1] (analytic) = 0.59639470732941084755107064471508
y[1] (numeric) = 0.59639470732941084755107064471529
absolute error = 2.1e-31
relative error = 3.5211580086006570746202438284711e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.747
y[1] (analytic) = 0.59556569444373497541250838340212
y[1] (numeric) = 0.59556569444373497541250838340235
absolute error = 2.3e-31
relative error = 3.8618745529797946860708854071768e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.748
y[1] (analytic) = 0.59473646217273083475268776221592
y[1] (numeric) = 0.59473646217273083475268776221619
absolute error = 2.7e-31
relative error = 4.5398259090020818012435748364094e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.749
y[1] (analytic) = 0.59390701067783597507823730389031
y[1] (numeric) = 0.59390701067783597507823730389064
absolute error = 3.3e-31
relative error = 5.5564254010634677814640688225306e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.75
y[1] (analytic) = 0.59307734012044714731831236701554
y[1] (numeric) = 0.59307734012044714731831236701581
absolute error = 2.7e-31
relative error = 4.5525259816058074861249642223058e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.751
y[1] (analytic) = 0.5922474506619203103783510067001
y[1] (numeric) = 0.59224745066192031037835100670033
absolute error = 2.3e-31
relative error = 3.8835118621944672329416198352452e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1888.3MB, alloc=4.6MB, time=170.83
x[1] = 1.752
y[1] (analytic) = 0.59141734246357063769304782073311
y[1] (numeric) = 0.5914173424635706376930478207333
absolute error = 1.9e-31
relative error = 3.2126213818578269849683350232318e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.753
y[1] (analytic) = 0.59058701568667252377854585584513
y[1] (numeric) = 0.59058701568667252377854585584533
absolute error = 2.0e-31
relative error = 3.3864611765543307064029742886763e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.754
y[1] (analytic) = 0.58975647049245959078384664866193
y[1] (numeric) = 0.58975647049245959078384664866207
absolute error = 1.4e-31
relative error = 2.3738611953353717122721685303844e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.755
y[1] (analytic) = 0.58892570704212469504143847593731
y[1] (numeric) = 0.58892570704212469504143847593761
absolute error = 3.0e-31
relative error = 5.0940211373476619404127797047801e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.756
y[1] (analytic) = 0.58809472549681993361714288864895
y[1] (numeric) = 0.58809472549681993361714288864929
absolute error = 3.4e-31
relative error = 5.7813815574144019034178595606080e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1892.1MB, alloc=4.6MB, time=170.99
x[1] = 1.757
y[1] (analytic) = 0.58726352601765665085917960452909
y[1] (numeric) = 0.58726352601765665085917960452941
absolute error = 3.2e-31
relative error = 5.4490017823851517010395398108717e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.758
y[1] (analytic) = 0.58643210876570544494644983360333
y[1] (numeric) = 0.58643210876570544494644983360352
absolute error = 1.9e-31
relative error = 3.2399317356599557620920205277462e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.759
y[1] (analytic) = 0.58560047390199617443603811129858
y[1] (numeric) = 0.58560047390199617443603811129893
absolute error = 3.5e-31
relative error = 5.9767711195290911500082806633455e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.76
y[1] (analytic) = 0.58476862158751796480993271368091
y[1] (numeric) = 0.58476862158751796480993271368117
absolute error = 2.6e-31
relative error = 4.4462030006698595783829313960980e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.761
y[1] (analytic) = 0.58393655198321921502096472937006
y[1] (numeric) = 0.58393655198321921502096472937023
absolute error = 1.7e-31
relative error = 2.9112751962971029823182919788467e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.762
y[1] (analytic) = 0.58310426525000760403796586268204
y[1] (numeric) = 0.58310426525000760403796586268238
absolute error = 3.4e-31
relative error = 5.8308611386031285112616116102137e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1895.9MB, alloc=4.6MB, time=171.14
x[1] = 1.763
y[1] (analytic) = 0.58227176154875009739014504253721
y[1] (numeric) = 0.58227176154875009739014504253751
absolute error = 3.0e-31
relative error = 5.1522333695532101146854703739943e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.764
y[1] (analytic) = 0.58143904104027295371068391166576
y[1] (numeric) = 0.58143904104027295371068391166603
absolute error = 2.7e-31
relative error = 4.6436510268889674664029497131873e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.765
y[1] (analytic) = 0.58060610388536173127955127064304
y[1] (numeric) = 0.58060610388536173127955127064328
absolute error = 2.4e-31
relative error = 4.1336113828969838947791188302508e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.766
y[1] (analytic) = 0.57977295024476129456553655127344
y[1] (numeric) = 0.57977295024476129456553655127364
absolute error = 2.0e-31
relative error = 3.4496262703454257538282357281392e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.767
y[1] (analytic) = 0.57893958027917582076750239384022
y[1] (numeric) = 0.57893958027917582076750239384045
absolute error = 2.3e-31
relative error = 3.9727807155470276933006602964950e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1899.7MB, alloc=4.6MB, time=171.30
x[1] = 1.768
y[1] (analytic) = 0.5781059941492688063548564027317
y[1] (numeric) = 0.578105994149268806354856402732
absolute error = 3.0e-31
relative error = 5.1893597893146744617616080927495e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.769
y[1] (analytic) = 0.57727219201566307360724215494763
y[1] (numeric) = 0.57727219201566307360724215494792
absolute error = 2.9e-31
relative error = 5.0236267052359843537042944703304e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.77
y[1] (analytic) = 0.57643817403894077715344953598403
y[1] (numeric) = 0.57643817403894077715344953598428
absolute error = 2.5e-31
relative error = 4.3369785565782371042431996163927e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.771
y[1] (analytic) = 0.5756039403796434105095444775897
y[1] (numeric) = 0.57560394037964341050954447758987
absolute error = 1.7e-31
relative error = 2.9534196706137099818709296301298e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.772
y[1] (analytic) = 0.57476949119827181261621817187996
y[1] (numeric) = 0.57476949119827181261621817188015
absolute error = 1.9e-31
relative error = 3.3056730203944979715874553036821e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.773
y[1] (analytic) = 0.57393482665528617437535583628926
y[1] (numeric) = 0.57393482665528617437535583628942
absolute error = 1.6e-31
relative error = 2.7877729764619840497834288219407e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1903.5MB, alloc=4.6MB, time=171.46
x[1] = 1.774
y[1] (analytic) = 0.57309994691110604518582510383546
y[1] (numeric) = 0.57309994691110604518582510383585
absolute error = 3.9e-31
relative error = 6.8050957272291143172666172706632e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.775
y[1] (analytic) = 0.57226485212611033947848411316791
y[1] (numeric) = 0.57226485212611033947848411316807
absolute error = 1.6e-31
relative error = 2.7959082128765913901059421222188e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.776
y[1] (analytic) = 0.57142954246063734325040937285592
y[1] (numeric) = 0.57142954246063734325040937285607
absolute error = 1.5e-31
relative error = 2.6249955393290272499059934813026e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.777
y[1] (analytic) = 0.57059401807498472059834347438305
y[1] (numeric) = 0.57059401807498472059834347438324
absolute error = 1.9e-31
relative error = 3.3298631598172680831196253609465e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.778
y[1] (analytic) = 0.5697582791294095202513627282902
y[1] (numeric) = 0.56975827912940952025136272829051
absolute error = 3.1e-31
relative error = 5.4409038245776771702295846147331e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.779
y[1] (analytic) = 0.56892232578412818210276479791716
y[1] (numeric) = 0.56892232578412818210276479791744
absolute error = 2.8e-31
relative error = 4.9215857298987975705673829095034e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1907.4MB, alloc=4.6MB, time=171.62
x[1] = 1.78
y[1] (analytic) = 0.56808615819931654374117640517919
y[1] (numeric) = 0.56808615819931654374117640517941
absolute error = 2.2e-31
relative error = 3.8726520057686679052966024974959e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.781
y[1] (analytic) = 0.56724977653510984698088118281363
y[1] (numeric) = 0.56724977653510984698088118281396
absolute error = 3.3e-31
relative error = 5.8175430586454306930983364491961e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.782
y[1] (analytic) = 0.5664131809516027443913677475231
y[1] (numeric) = 0.56641318095160274439136774752346
absolute error = 3.6e-31
relative error = 6.3557842950473331536413103554853e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.783
y[1] (analytic) = 0.56557637160884930582609806843503
y[1] (numeric) = 0.5655763716088493058260980684354
absolute error = 3.7e-31
relative error = 6.5419988983537441878423604677966e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.784
y[1] (analytic) = 0.56473934866686302495049620529533
y[1] (numeric) = 0.56473934866686302495049620529555
absolute error = 2.2e-31
relative error = 3.8956024672149579963541284714791e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1911.2MB, alloc=4.6MB, time=171.77
x[1] = 1.785
y[1] (analytic) = 0.56390211228561682576915749080327
y[1] (numeric) = 0.56390211228561682576915749080344
absolute error = 1.7e-31
relative error = 3.0147076291477850970360387819606e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.786
y[1] (analytic) = 0.56306466262504306915227823149335
y[1] (numeric) = 0.56306466262504306915227823149357
absolute error = 2.2e-31
relative error = 3.9071889003715148047313850614421e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.787
y[1] (analytic) = 0.56222699984503355936130600155966
y[1] (numeric) = 0.56222699984503355936130600155993
absolute error = 2.7e-31
relative error = 4.8023307325051982569071614716899e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.788
y[1] (analytic) = 0.56138912410543955057381060401509
y[1] (numeric) = 0.5613891241054395505738106040154
absolute error = 3.1e-31
relative error = 5.5220164889011299462742944893526e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.789
y[1] (analytic) = 0.56055103556607175340757577357154
y[1] (numeric) = 0.56055103556607175340757577357171
absolute error = 1.7e-31
relative error = 3.0327301033049687488494565509818e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.79
y[1] (analytic) = 0.55971273438670034144391169561953
y[1] (numeric) = 0.55971273438670034144391169561974
absolute error = 2.1e-31
relative error = 3.7519246409518520267793175265890e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1915.0MB, alloc=4.6MB, time=171.93
x[1] = 1.791
y[1] (analytic) = 0.5588742207270549577501884156837
y[1] (numeric) = 0.55887422072705495775018841568397
absolute error = 2.7e-31
relative error = 4.8311407108517104163196048908240e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.792
y[1] (analytic) = 0.55803549474682472140159021371872
y[1] (numeric) = 0.55803549474682472140159021371892
absolute error = 2.0e-31
relative error = 3.5840014099952200271286207821359e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.793
y[1] (analytic) = 0.55719655660565823400209101760933
y[1] (numeric) = 0.55719655660565823400209101760965
absolute error = 3.2e-31
relative error = 5.7430362087910730589180716801256e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.794
y[1] (analytic) = 0.55635740646316358620465093023207
y[1] (numeric) = 0.55635740646316358620465093023233
absolute error = 2.6e-31
relative error = 4.6732549433080045692945299443386e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.795
y[1] (analytic) = 0.55551804447890836423063394442467
y[1] (numeric) = 0.55551804447890836423063394442494
absolute error = 2.7e-31
relative error = 4.8603281690564639641716062106271e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1918.8MB, alloc=4.6MB, time=172.09
x[1] = 1.796
y[1] (analytic) = 0.55467847081241965638844692021215
y[1] (numeric) = 0.55467847081241965638844692021239
absolute error = 2.4e-31
relative error = 4.3268309954139691945405802300740e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.797
y[1] (analytic) = 0.55383868562318405959139989862398
y[1] (numeric) = 0.55383868562318405959139989862429
absolute error = 3.1e-31
relative error = 5.5972976978158419864324335981259e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.798
y[1] (analytic) = 0.55299868907064768587478782643743
y[1] (numeric) = 0.5529986890706476858747878264377
absolute error = 2.7e-31
relative error = 4.8824708871146432871097241013204e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.799
y[1] (analytic) = 0.55215848131421616891219376617108
y[1] (numeric) = 0.55215848131421616891219376617134
absolute error = 2.6e-31
relative error = 4.7087930150264613949086245175229e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.8
y[1] (analytic) = 0.55131806251325467053101366565145
y[1] (numeric) = 0.5513180625132546705310136656517
absolute error = 2.5e-31
relative error = 4.5345875094377041865345259023616e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.801
y[1] (analytic) = 0.5504774328270878872272027614655
y[1] (numeric) = 0.5504774328270878872272027614657
absolute error = 2.0e-31
relative error = 3.6332097934125956831472691857667e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1922.6MB, alloc=4.6MB, time=172.25
x[1] = 1.802
y[1] (analytic) = 0.5496365924150000566792436906082
y[1] (numeric) = 0.5496365924150000566792436906085
absolute error = 3.0e-31
relative error = 5.4581518796238854864891656222801e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.803
y[1] (analytic) = 0.54879554143623496426133638462904
y[1] (numeric) = 0.54879554143623496426133638462922
absolute error = 1.8e-31
relative error = 3.2799100285860168202412201318149e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.804
y[1] (analytic) = 0.54795428004999594955580982057113
y[1] (numeric) = 0.5479542800499959495558098205714
absolute error = 2.7e-31
relative error = 4.9274183965743438273800868868457e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.805
y[1] (analytic) = 0.54711280841544591286475570299895
y[1] (numeric) = 0.54711280841544591286475570299909
absolute error = 1.4e-31
relative error = 2.5588872687055075170798030580915e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.806
y[1] (analytic) = 0.54627112669170732172088415139338
y[1] (numeric) = 0.54627112669170732172088415139351
absolute error = 1.3e-31
relative error = 2.3797706605380698999076738642988e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.807
y[1] (analytic) = 0.54542923503786221739760146719914
y[1] (numeric) = 0.54542923503786221739760146719938
absolute error = 2.4e-31
relative error = 4.4002041801690342336281356300143e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=1926.4MB, alloc=4.6MB, time=172.40
TOP MAIN SOLVE Loop
x[1] = 1.808
y[1] (analytic) = 0.54458713361295222141831005479388
y[1] (numeric) = 0.54458713361295222141831005479407
absolute error = 1.9e-31
relative error = 3.4888815448041118276787755378634e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.809
y[1] (analytic) = 0.54374482257597854206493057064658
y[1] (numeric) = 0.54374482257597854206493057064669
absolute error = 1.1e-31
relative error = 2.0230077682188777423893552263554e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.81
y[1] (analytic) = 0.54290230208590198088564637492838
y[1] (numeric) = 0.54290230208590198088564637492854
absolute error = 1.6e-31
relative error = 2.9471232556071134036731231777764e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.811
y[1] (analytic) = 0.54205957230164293920187035983011
y[1] (numeric) = 0.54205957230164293920187035983023
absolute error = 1.2e-31
relative error = 2.2137788193734345681499204878682e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.812
y[1] (analytic) = 0.54121663338208142461443422883477
y[1] (numeric) = 0.54121663338208142461443422883491
absolute error = 1.4e-31
relative error = 2.5867645479617868957339444611811e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1930.3MB, alloc=4.6MB, time=172.56
x[1] = 1.813
y[1] (analytic) = 0.54037348548605705750900030119104
y[1] (numeric) = 0.54037348548605705750900030119124
absolute error = 2.0e-31
relative error = 3.7011438453554635699954392215599e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.814
y[1] (analytic) = 0.53953012877236907756069591582346
y[1] (numeric) = 0.53953012877236907756069591582364
absolute error = 1.8e-31
relative error = 3.3362362989730839409910562799878e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.815
y[1] (analytic) = 0.53868656339977635023797050891122
y[1] (numeric) = 0.53868656339977635023797050891158
absolute error = 3.6e-31
relative error = 6.6829214697310466344488129948670e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.816
y[1] (analytic) = 0.53784278952699737330567543936339
y[1] (numeric) = 0.53784278952699737330567543936367
absolute error = 2.8e-31
relative error = 5.2059822210546752241167259840002e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.817
y[1] (analytic) = 0.53699880731271028332736663640627
y[1] (numeric) = 0.53699880731271028332736663640645
absolute error = 1.8e-31
relative error = 3.3519627520360706836877958628367e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.818
y[1] (analytic) = 0.53615461691555286216683014350163
y[1] (numeric) = 0.53615461691555286216683014350187
absolute error = 2.4e-31
relative error = 4.4763206811627856774524848323195e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used
Radius of convergence = 206.2
Order of pole = 206.8
TOP MAIN SOLVE Loop
memory used=1934.1MB, alloc=4.6MB, time=172.71
x[1] = 1.819
y[1] (analytic) = 0.53531021849412254348883063280112
y[1] (numeric) = 0.53531021849412254348883063280143
absolute error = 3.1e-31
relative error = 5.7910346055425365545282470812196e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.82
y[1] (analytic) = 0.53446561220697641925908296433907
y[1] (numeric) = 0.53446561220697641925908296433915
absolute error = 8e-32
relative error = 1.4968222121841453445178177191968e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.821
y[1] (analytic) = 0.53362079821263124624344686415941
y[1] (numeric) = 0.53362079821263124624344686415966
absolute error = 2.5e-31
relative error = 4.6849748142759382602275300234971e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.822
y[1] (analytic) = 0.53277577666956345250634479557133
y[1] (numeric) = 0.53277577666956345250634479557157
absolute error = 2.4e-31
relative error = 4.5047093075489439735714697746726e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.823
y[1] (analytic) = 0.53193054773620914390840309771041
y[1] (numeric) = 0.53193054773620914390840309771064
absolute error = 2.3e-31
relative error = 4.3238727495315762429761064331943e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1937.9MB, alloc=4.6MB, time=172.87
x[1] = 1.824
y[1] (analytic) = 0.53108511157096411060331646559098
y[1] (numeric) = 0.53108511157096411060331646559113
absolute error = 1.5e-31
relative error = 2.8244060458839816995532803642499e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.825
y[1] (analytic) = 0.53023946833218383353393584581766
y[1] (numeric) = 0.53023946833218383353393584581798
absolute error = 3.2e-31
relative error = 6.0350090687614893882752994550143e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.826
y[1] (analytic) = 0.52939361817818349092757982212627
y[1] (numeric) = 0.52939361817818349092757982212642
absolute error = 1.5e-31
relative error = 2.8334304541901928828538945319417e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.827
y[1] (analytic) = 0.52854756126723796479056956490963
y[1] (numeric) = 0.52854756126723796479056956490976
absolute error = 1.3e-31
relative error = 2.4595705197903834051224287767368e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.828
y[1] (analytic) = 0.52770129775758184740198741888999
y[1] (numeric) = 0.52770129775758184740198741889017
absolute error = 1.8e-31
relative error = 3.4110206051206137332015699430706e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.829
y[1] (analytic) = 0.52685482780740944780665920308113
y[1] (numeric) = 0.52685482780740944780665920308141
absolute error = 2.8e-31
relative error = 5.3145569751209216640252734874131e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1941.7MB, alloc=4.6MB, time=173.03
x[1] = 1.83
y[1] (analytic) = 0.52600815157487479830736029718629
y[1] (numeric) = 0.52600815157487479830736029718649
absolute error = 2.0e-31
relative error = 3.8022224446750030286084658747344e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.831
y[1] (analytic) = 0.52516126921809166095624558856725
y[1] (numeric) = 0.52516126921809166095624558856739
absolute error = 1.4e-31
relative error = 2.6658477729792385571649030820448e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.832
y[1] (analytic) = 0.52431418089513353404550335391762
y[1] (numeric) = 0.52431418089513353404550335391792
absolute error = 3.0e-31
relative error = 5.7217601760804191727645299224179e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.833
y[1] (analytic) = 0.52346688676403365859723314976496
y[1] (numeric) = 0.52346688676403365859723314976517
absolute error = 2.1e-31
relative error = 4.0117150732910250512079016252708e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.834
y[1] (analytic) = 0.52261938698278502485254778591856
y[1] (numeric) = 0.52261938698278502485254778591875
absolute error = 1.9e-31
relative error = 3.6355329467763996465108161647147e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1945.5MB, alloc=4.6MB, time=173.18
x[1] = 1.835
y[1] (analytic) = 0.5217716817093403787598994559811
y[1] (numeric) = 0.5217716817093403787598994559814
absolute error = 3.0e-31
relative error = 5.7496412802088185321869230816457e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.836
y[1] (analytic) = 0.5209237711016122284626300990283
y[1] (numeric) = 0.52092377110161222846263009902847
absolute error = 1.7e-31
relative error = 3.2634333357545998151709236633006e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.837
y[1] (analytic) = 0.52007565531747285078574606655765
y[1] (numeric) = 0.52007565531747285078574606655787
absolute error = 2.2e-31
relative error = 4.2301537814859667286859374582768e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.838
y[1] (analytic) = 0.51922733451475429772191716880612
y[1] (numeric) = 0.51922733451475429772191716880635
absolute error = 2.3e-31
relative error = 4.4296589318616535457317368290611e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.839
y[1] (analytic) = 0.51837880885124840291670017452164
y[1] (numeric) = 0.51837880885124840291670017452181
absolute error = 1.7e-31
relative error = 3.2794550451768644260551626132455e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used
Radius of convergence = 4.598
Order of pole = 14.27
TOP MAIN SOLVE Loop
x[1] = 1.84
y[1] (analytic) = 0.51753007848470678815298683827532
y[1] (numeric) = 0.51753007848470678815298683827562
absolute error = 3.0e-31
relative error = 5.7967645258103605043324426561980e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1949.3MB, alloc=4.6MB, time=173.34
x[1] = 1.841
y[1] (analytic) = 0.51668114357284086983467652939278
y[1] (numeric) = 0.51668114357284086983467652939302
absolute error = 2.4e-31
relative error = 4.6450311373936407097525329893266e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.842
y[1] (analytic) = 0.51583200427332186546957353657336
y[1] (numeric) = 0.51583200427332186546957353657354
absolute error = 1.8e-31
relative error = 3.4895081830677592347150641823532e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.843
y[1] (analytic) = 0.51498266074378080015150912226772
y[1] (numeric) = 0.51498266074378080015150912226789
absolute error = 1.7e-31
relative error = 3.3010820161298607154601579291405e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.844
y[1] (analytic) = 0.51413311314180851304168840087114
y[1] (numeric) = 0.51413311314180851304168840087137
absolute error = 2.3e-31
relative error = 4.4735496337611162158663497360821e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.845
y[1] (analytic) = 0.51328336162495566384926211478823
y[1] (numeric) = 0.5132833616249556638492621147884
absolute error = 1.7e-31
relative error = 3.3120107275991362927842972591381e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.846
y[1] (analytic) = 0.51243340635073273931112338241635
y[1] (numeric) = 0.51243340635073273931112338241651
absolute error = 1.6e-31
relative error = 3.1223569349124112316578498649348e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1953.1MB, alloc=4.6MB, time=173.50
x[1] = 1.847
y[1] (analytic) = 0.51158324747661005967092949209237
y[1] (numeric) = 0.51158324747661005967092949209251
absolute error = 1.4e-31
relative error = 2.7366025117231950982788778837624e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.848
y[1] (analytic) = 0.51073288516001778515734881603722
y[1] (numeric) = 0.51073288516001778515734881603737
absolute error = 1.5e-31
relative error = 2.9369559775459432367830825729852e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.849
y[1] (analytic) = 0.50988231955834592246153291833043
y[1] (numeric) = 0.50988231955834592246153291833074
absolute error = 3.1e-31
relative error = 6.0798342697687254502204862848756e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.85
y[1] (analytic) = 0.5090315508289443312138139309396
y[1] (numeric) = 0.50903155082894433121381393093991
absolute error = 3.1e-31
relative error = 6.0899957870032466852941615171124e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.851
y[1] (analytic) = 0.50818057912912273045962727182186
y[1] (numeric) = 0.50818057912912273045962727182218
absolute error = 3.2e-31
relative error = 6.2969742084278224583115158363327e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1957.0MB, alloc=4.6MB, time=173.65
x[1] = 1.852
y[1] (analytic) = 0.50732940461615070513465977911348
y[1] (numeric) = 0.50732940461615070513465977911375
absolute error = 2.7e-31
relative error = 5.3219860221641215176378253822089e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.853
y[1] (analytic) = 0.50647802744725771253922333541208
y[1] (numeric) = 0.5064780274472577125392233354123
absolute error = 2.2e-31
relative error = 4.3437224929349928420581262570347e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.854
y[1] (analytic) = 0.50562644777963308881185405615431
y[1] (numeric) = 0.50562644777963308881185405615449
absolute error = 1.8e-31
relative error = 3.5599403628990805120741581872278e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.855
y[1] (analytic) = 0.50477466577042605540213711608369
y[1] (numeric) = 0.50477466577042605540213711608379
absolute error = 1.0e-31
relative error = 1.9810819912558860616519186978274e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.856
y[1] (analytic) = 0.50392268157674572554275728779782
y[1] (numeric) = 0.50392268157674572554275728779813
absolute error = 3.1e-31
relative error = 6.1517373861805036671068594602145e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.857
y[1] (analytic) = 0.50307049535566111072077526636077
y[1] (numeric) = 0.50307049535566111072077526636086
absolute error = 9e-32
relative error = 1.7890136835866659327752878825456e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1960.8MB, alloc=4.6MB, time=173.81
x[1] = 1.858
y[1] (analytic) = 0.50221810726420112714812985395255
y[1] (numeric) = 0.5022181072642011271481298539528
absolute error = 2.5e-31
relative error = 4.9779168927591627955447511324562e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.859
y[1] (analytic) = 0.50136551745935460223136607853681
y[1] (numeric) = 0.50136551745935460223136607853706
absolute error = 2.5e-31
relative error = 4.9863820165946563736123969868206e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.86
y[1] (analytic) = 0.50051272609807028104058932050237
y[1] (numeric) = 0.50051272609807028104058932050255
absolute error = 1.8e-31
relative error = 3.5963121538038748216898822882492e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.861
y[1] (analytic) = 0.49965973333725683277764552124601
y[1] (numeric) = 0.49965973333725683277764552124617
absolute error = 1.6e-31
relative error = 3.2021791896527375130931958872619e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.862
y[1] (analytic) = 0.4988065393337828572435275476476
y[1] (numeric) = 0.49880653933378285724352754764771
absolute error = 1.1e-31
relative error = 2.2052637911868287492557638590217e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1964.6MB, alloc=4.6MB, time=173.97
x[1] = 1.863
y[1] (analytic) = 0.49795314424447689130500778638534
y[1] (numeric) = 0.49795314424447689130500778638569
absolute error = 3.5e-31
relative error = 7.0287737720993829863457385364928e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.864
y[1] (analytic) = 0.49709954822612741536049704203617
y[1] (numeric) = 0.4970995482261274153604970420364
absolute error = 2.3e-31
relative error = 4.6268398517106369669153838260002e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.865
y[1] (analytic) = 0.4962457514354828598051298128923
y[1] (numeric) = 0.49624575143548285980512981289252
absolute error = 2.2e-31
relative error = 4.4332873251530960862665306912676e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.866
y[1] (analytic) = 0.49539175402925161149507601843162
y[1] (numeric) = 0.49539175402925161149507601843182
absolute error = 2.0e-31
relative error = 4.0372089033236211954297396646731e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.867
y[1] (analytic) = 0.4945375561641020202110792523604
y[1] (numeric) = 0.49453755616410202021107925236057
absolute error = 1.7e-31
relative error = 3.4375549011608135502918480736555e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.868
y[1] (analytic) = 0.49368315799666240512122163515003
y[1] (numeric) = 0.49368315799666240512122163515029
absolute error = 2.6e-31
relative error = 5.2665357484558498200640448566331e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1968.4MB, alloc=4.6MB, time=174.12
x[1] = 1.869
y[1] (analytic) = 0.49282855968352106124291533998061
y[1] (numeric) = 0.49282855968352106124291533998074
absolute error = 1.3e-31
relative error = 2.6378341402024650302500386766919e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.87
y[1] (analytic) = 0.49197376138122626590412086599556
y[1] (numeric) = 0.49197376138122626590412086599592
absolute error = 3.6e-31
relative error = 7.3174634149043382548322580871128e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.871
y[1] (analytic) = 0.49111876324628628520379213277394
y[1] (numeric) = 0.49111876324628628520379213277429
absolute error = 3.5e-31
relative error = 7.1265857913166711149874957937904e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.872
y[1] (analytic) = 0.49026356543516938047154846990782
y[1] (numeric) = 0.49026356543516938047154846990813
absolute error = 3.1e-31
relative error = 6.3231294727120251424731492586424e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.873
y[1] (analytic) = 0.48940816810430381472657357558121
y[1] (numeric) = 0.48940816810430381472657357558144
absolute error = 2.3e-31
relative error = 4.6995537669690437503946397821422e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.874
memory used=1972.2MB, alloc=4.6MB, time=174.28
y[1] (analytic) = 0.48855257141007785913574151802932
y[1] (numeric) = 0.4885525714100778591357415180296
absolute error = 2.8e-31
relative error = 5.7312153570669787266928311210096e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.875
y[1] (analytic) = 0.48769677550883979947096985375811
y[1] (numeric) = 0.48769677550883979947096985375832
absolute error = 2.1e-31
relative error = 4.3059542434106912153596508142115e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.876
y[1] (analytic) = 0.48684078055689794256579993639308
y[1] (numeric) = 0.48684078055689794256579993639334
absolute error = 2.6e-31
relative error = 5.3405550722884304558119106795936e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.877
y[1] (analytic) = 0.48598458671052062277120449002646
y[1] (numeric) = 0.48598458671052062277120449002665
absolute error = 1.9e-31
relative error = 3.9095890115785614252254139072554e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.878
y[1] (analytic) = 0.48512819412593620841062252091875
y[1] (numeric) = 0.48512819412593620841062252091889
absolute error = 1.4e-31
relative error = 2.8858351605855520773500861572197e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.879
y[1] (analytic) = 0.48427160295933310823422164141157
y[1] (numeric) = 0.48427160295933310823422164141191
absolute error = 3.4e-31
relative error = 7.0208535442155923629203525239585e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1976.0MB, alloc=4.6MB, time=174.44
x[1] = 1.88
y[1] (analytic) = 0.4834148133668597778723878798992
y[1] (numeric) = 0.48341481336685977787238787989939
absolute error = 1.9e-31
relative error = 3.9303719031011667337393559594103e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.881
y[1] (analytic) = 0.48255782550462472628844305069754
y[1] (numeric) = 0.4825578255046247262884430506977
absolute error = 1.6e-31
relative error = 3.3156648083094156718785735594670e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.882
y[1] (analytic) = 0.48170063952869652223058975765285
y[1] (numeric) = 0.48170063952869652223058975765312
absolute error = 2.7e-31
relative error = 5.6051409909725725970246831411036e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.883
y[1] (analytic) = 0.48084325559510380068308410531552
y[1] (numeric) = 0.48084325559510380068308410531582
absolute error = 3.0e-31
relative error = 6.2390393648905898895103244193708e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.884
y[1] (analytic) = 0.47998567385983526931663619150462
y[1] (numeric) = 0.47998567385983526931663619150501
absolute error = 3.9e-31
relative error = 8.1252425070063079168724500765031e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.885
y[1] (analytic) = 0.47912789447883971493803845508352
y[1] (numeric) = 0.47912789447883971493803845508372
absolute error = 2.0e-31
relative error = 4.1742508066149096585068361167396e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1979.8MB, alloc=4.6MB, time=174.59
x[1] = 1.886
y[1] (analytic) = 0.47826991760802600993902195275566
y[1] (numeric) = 0.47826991760802600993902195275604
absolute error = 3.8e-31
relative error = 7.9453042311441226828945849984256e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.887
y[1] (analytic) = 0.47741174340326311874434063869309
y[1] (numeric) = 0.47741174340326311874434063869336
absolute error = 2.7e-31
relative error = 5.6554955702447964676442409341834e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.888
y[1] (analytic) = 0.47655337202038010425908372079047
y[1] (numeric) = 0.47655337202038010425908372079073
absolute error = 2.6e-31
relative error = 5.4558422049919087909447332190256e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.889
y[1] (analytic) = 0.47569480361516613431521616734778
y[1] (numeric) = 0.47569480361516613431521616734809
absolute error = 3.1e-31
relative error = 6.5167834007030250175340926120083e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.89
y[1] (analytic) = 0.4748360383433704881173474379656
y[1] (numeric) = 0.4748360383433704881173474379657
absolute error = 1.0e-31
relative error = 2.1059901086885598780295265015843e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1983.7MB, alloc=4.6MB, time=174.75
x[1] = 1.891
y[1] (analytic) = 0.47397707636070256268772851243664
y[1] (numeric) = 0.47397707636070256268772851243684
absolute error = 2.0e-31
relative error = 4.2196133520980129645487121298708e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.892
y[1] (analytic) = 0.47311791782283187931047729141489
y[1] (numeric) = 0.47311791782283187931047729141513
absolute error = 2.4e-31
relative error = 5.0727311513463462714325500586497e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.893
y[1] (analytic) = 0.47225856288538808997503244262782
y[1] (numeric) = 0.47225856288538808997503244262803
absolute error = 2.1e-31
relative error = 4.4467166188993944934182704338478e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.894
y[1] (analytic) = 0.47139901170396098381883576640159
y[1] (numeric) = 0.47139901170396098381883576640193
absolute error = 3.4e-31
relative error = 7.2125734581200249750973804466434e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.895
y[1] (analytic) = 0.47053926443410049356924315425835
y[1] (numeric) = 0.47053926443410049356924315425861
absolute error = 2.6e-31
relative error = 5.5255750083405264169952512691140e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.896
y[1] (analytic) = 0.46967932123131670198466421433663
y[1] (numeric) = 0.46967932123131670198466421433685
absolute error = 2.2e-31
relative error = 4.6840469668378304091650721008371e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1987.5MB, alloc=4.6MB, time=174.91
x[1] = 1.897
y[1] (analytic) = 0.46881918225107984829493063738677
y[1] (numeric) = 0.46881918225107984829493063738708
absolute error = 3.1e-31
relative error = 6.6123574234208068330609505453193e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.898
y[1] (analytic) = 0.46795884764882033464089337708086
y[1] (numeric) = 0.46795884764882033464089337708111
absolute error = 2.5e-31
relative error = 5.3423501074097112123656858537034e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.899
y[1] (analytic) = 0.46709831757992873251324871837279
y[1] (numeric) = 0.46709831757992873251324871837309
absolute error = 3.0e-31
relative error = 6.4226307119734963887796368149756e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.9
y[1] (analytic) = 0.4662375921997557891905933076416
y[1] (numeric) = 0.46623759219975578919059330764194
absolute error = 3.4e-31
relative error = 7.2924192662338926852658448859108e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.901
y[1] (analytic) = 0.4653766716636124341767082183394
y[1] (numeric) = 0.46537667166361243417670821833971
absolute error = 3.1e-31
relative error = 6.6612707270397271764383645945505e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1991.3MB, alloc=4.6MB, time=175.06
x[1] = 1.902
y[1] (analytic) = 0.46451555612676978563707212586392
y[1] (numeric) = 0.46451555612676978563707212586421
absolute error = 2.9e-31
relative error = 6.2430632553639779706297432069657e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.903
y[1] (analytic) = 0.46365424574445915683460366536859
y[1] (numeric) = 0.46365424574445915683460366536874
absolute error = 1.5e-31
relative error = 3.2351693395830950738665348799674e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.904
y[1] (analytic) = 0.46279274067187206256463304621529
y[1] (numeric) = 0.46279274067187206256463304621547
absolute error = 1.8e-31
relative error = 3.8894300662253271285204088534369e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.905
y[1] (analytic) = 0.4619310410641602255891029967733
y[1] (numeric) = 0.46193104106416022558910299677345
absolute error = 1.5e-31
relative error = 3.2472379352217130641685581507445e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.906
y[1] (analytic) = 0.4610691470764355830699991132558
y[1] (numeric) = 0.46106914707643558306999911325614
absolute error = 3.4e-31
relative error = 7.3741650716792624449706971392497e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.907
y[1] (analytic) = 0.46020705886377029300200968628751
y[1] (numeric) = 0.46020705886377029300200968628766
absolute error = 1.5e-31
relative error = 3.2594024170412115218381856159274e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=1995.1MB, alloc=4.6MB, time=175.21
x[1] = 1.908
y[1] (analytic) = 0.45934477658119674064441507888054
y[1] (numeric) = 0.45934477658119674064441507888087
absolute error = 3.3e-31
relative error = 7.1841461321519365307424617520970e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.909
y[1] (analytic) = 0.45848230038370754495220672950448
y[1] (numeric) = 0.45848230038370754495220672950468
absolute error = 2.0e-31
relative error = 4.3622185596394535316538804045629e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.91
y[1] (analytic) = 0.45761963042625556500643585391184
y[1] (numeric) = 0.45761963042625556500643585391208
absolute error = 2.4e-31
relative error = 5.2445302614411225982942723458584e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.911
y[1] (analytic) = 0.45675676686375390644379191939418
y[1] (numeric) = 0.45675676686375390644379191939437
absolute error = 1.9e-31
relative error = 4.1597632215632866344742848077534e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.912
y[1] (analytic) = 0.45589370985107592788541096512124
y[1] (numeric) = 0.45589370985107592788541096512143
absolute error = 1.9e-31
relative error = 4.1676381115691673804291714067995e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.913
y[1] (analytic) = 0.45503045954305524736491384222149
y[1] (numeric) = 0.45503045954305524736491384222173
absolute error = 2.4e-31
relative error = 5.2743721868863387612384377175664e-29 %
Correct digits = 30
h = 0.001
memory used=1998.9MB, alloc=4.6MB, time=175.37
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.914
y[1] (analytic) = 0.4541670160944857487556744472499
y[1] (numeric) = 0.45416701609448574875567444725015
absolute error = 2.5e-31
relative error = 5.5045829208343376506612496204480e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.915
y[1] (analytic) = 0.45330337966012158819731802268548
y[1] (numeric) = 0.45330337966012158819731802268558
absolute error = 1.0e-31
relative error = 2.2060281146586229557834701932852e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.916
y[1] (analytic) = 0.45243955039467720052144959809432
y[1] (numeric) = 0.45243955039467720052144959809458
absolute error = 2.6e-31
relative error = 5.7466240467526291827901173138374e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.917
y[1] (analytic) = 0.45157552845282730567661264559106
y[1] (numeric) = 0.45157552845282730567661264559138
absolute error = 3.2e-31
relative error = 7.0863007368085932463035723460400e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.918
y[1] (analytic) = 0.4507113139892069151524780232185
y[1] (numeric) = 0.45071131398920691515247802321869
absolute error = 1.9e-31
relative error = 4.2155586980572200206801128881925e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=2002.7MB, alloc=4.6MB, time=175.53
x[1] = 1.919
y[1] (analytic) = 0.4498469071584113384032632798677
y[1] (numeric) = 0.44984690715841133840326327986789
absolute error = 1.9e-31
relative error = 4.2236591377317717181341809694713e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.92
y[1] (analytic) = 0.44898230811499618927038239535099
y[1] (numeric) = 0.44898230811499618927038239535127
absolute error = 2.8e-31
relative error = 6.2363259072623553924460403676086e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.921
y[1] (analytic) = 0.44811751701347739240432602923293
y[1] (numeric) = 0.44811751701347739240432602923321
absolute error = 2.8e-31
relative error = 6.2483609626797704215211305526911e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.922
y[1] (analytic) = 0.44725253400833118968577235202092
y[1] (numeric) = 0.4472525340083311896857723520212
absolute error = 2.8e-31
relative error = 6.2604452453428537604298001695068e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.923
y[1] (analytic) = 0.44638735925399414664592853231151
y[1] (numeric) = 0.44638735925399414664592853231178
absolute error = 2.7e-31
relative error = 6.0485583743058046078767037452412e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.924
y[1] (analytic) = 0.44552199290486315888610295348043
y[1] (numeric) = 0.44552199290486315888610295348066
absolute error = 2.3e-31
relative error = 5.1624836408270026433699565946785e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=2006.5MB, alloc=4.6MB, time=175.68
x[1] = 1.925
y[1] (analytic) = 0.44465643511529545849650823350014
y[1] (numeric) = 0.44465643511529545849650823350028
absolute error = 1.4e-31
relative error = 3.1484982324319504174415299471033e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.926
y[1] (analytic) = 0.44379068603960862047429512146218
y[1] (numeric) = 0.44379068603960862047429512146232
absolute error = 1.4e-31
relative error = 3.1546403384298359251780933268442e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.927
y[1] (analytic) = 0.44292474583208056914081734437652
y[1] (numeric) = 0.44292474583208056914081734437675
absolute error = 2.3e-31
relative error = 5.1927557031820583406037694219163e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.928
y[1] (analytic) = 0.44205861464694958455812747781279
y[1] (numeric) = 0.44205861464694958455812747781312
absolute error = 3.3e-31
relative error = 7.4650733876898819420767979311575e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.929
y[1] (analytic) = 0.44119229263841430894470391394378
y[1] (numeric) = 0.44119229263841430894470391394396
absolute error = 1.8e-31
relative error = 4.0798536829273595523704765778791e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=2010.4MB, alloc=4.6MB, time=175.84
x[1] = 1.93
y[1] (analytic) = 0.44032577996063375309040900054392
y[1] (numeric) = 0.44032577996063375309040900054424
absolute error = 3.2e-31
relative error = 7.2673464639887497735856487857526e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.931
y[1] (analytic) = 0.43945907676772730277067842449468
y[1] (numeric) = 0.43945907676772730277067842449501
absolute error = 3.3e-31
relative error = 7.5092316314681320944949828393311e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.932
y[1] (analytic) = 0.43859218321377472515994191333332
y[1] (numeric) = 0.43859218321377472515994191333352
absolute error = 2.0e-31
relative error = 4.5600447900029665560639752366369e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.933
y[1] (analytic) = 0.43772509945281617524427532838584
y[1] (numeric) = 0.43772509945281617524427532838607
absolute error = 2.3e-31
relative error = 5.2544393795903964307081548380212e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.934
y[1] (analytic) = 0.43685782563885220223328422301382
y[1] (numeric) = 0.43685782563885220223328422301419
absolute error = 3.7e-31
relative error = 8.4695747285497141608637654185418e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.935
y[1] (analytic) = 0.43599036192584375597121893949843
y[1] (numeric) = 0.43599036192584375597121893949875
absolute error = 3.2e-31
relative error = 7.3396117883548032257964384944886e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=2014.2MB, alloc=4.6MB, time=176.00
x[1] = 1.936
y[1] (analytic) = 0.43512270846771219334732131808047
y[1] (numeric) = 0.43512270846771219334732131808075
absolute error = 2.8e-31
relative error = 6.4349663796224759671023656355870e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.937
y[1] (analytic) = 0.43425486541833928470540309167144
y[1] (numeric) = 0.43425486541833928470540309167174
absolute error = 3.0e-31
relative error = 6.9083854641673409149970731601465e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.938
y[1] (analytic) = 0.43338683293156722025265603974062
y[1] (numeric) = 0.43338683293156722025265603974081
absolute error = 1.9e-31
relative error = 4.3840741241439939614722347158877e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.939
y[1] (analytic) = 0.43251861116119861646769397487914
y[1] (numeric) = 0.43251861116119861646769397487943
absolute error = 2.9e-31
relative error = 6.7049137890604600449627591151241e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.94
y[1] (analytic) = 0.43165020026099652250782663553908
y[1] (numeric) = 0.43165020026099652250782663553931
absolute error = 2.3e-31
relative error = 5.3283885855011977490426046656430e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=2018.0MB, alloc=4.6MB, time=176.15
x[1] = 1.941
y[1] (analytic) = 0.43078160038468442661556555843259
y[1] (numeric) = 0.43078160038468442661556555843283
absolute error = 2.4e-31
relative error = 5.5712685914552054599703068126452e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.942
y[1] (analytic) = 0.42991281168594626252436200407927
y[1] (numeric) = 0.42991281168594626252436200407956
absolute error = 2.9e-31
relative error = 6.7455537987513300297755322997559e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.943
y[1] (analytic) = 0.42904383431842641586357700897623
y[1] (numeric) = 0.42904383431842641586357700897649
absolute error = 2.6e-31
relative error = 6.0599868638837963180077409794883e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.944
y[1] (analytic) = 0.42817466843572973056268363786374
y[1] (numeric) = 0.42817466843572973056268363786397
absolute error = 2.3e-31
relative error = 5.3716395890553173248004525147150e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.945
y[1] (analytic) = 0.42730531419142151525470150955292
y[1] (numeric) = 0.4273053141914215152547015095532
absolute error = 2.8e-31
relative error = 6.5526917335403739429478399372462e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.946
y[1] (analytic) = 0.42643577173902754967886366977515
y[1] (numeric) = 0.42643577173902754967886366977543
absolute error = 2.8e-31
relative error = 6.5660532853082480491482800713507e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=2021.8MB, alloc=4.6MB, time=176.31
x[1] = 1.947
y[1] (analytic) = 0.42556604123203409108251588450677
y[1] (numeric) = 0.42556604123203409108251588450709
absolute error = 3.2e-31
relative error = 7.5193969677088110493972896294005e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.948
y[1] (analytic) = 0.4246961228238878806222484272191
y[1] (numeric) = 0.4246961228238878806222484272193
absolute error = 2.0e-31
relative error = 4.7092494904394404100549947648572e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.949
y[1] (analytic) = 0.42382601666799614976426043349398
y[1] (numeric) = 0.42382601666799614976426043349415
absolute error = 1.7e-31
relative error = 4.0110798609413682063684379631212e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.95
y[1] (analytic) = 0.42295572291772662668395689644434
y[1] (numeric) = 0.42295572291772662668395689644456
absolute error = 2.2e-31
relative error = 5.2014900870083371249905854675153e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.951
y[1] (analytic) = 0.42208524172640754266477837636824
y[1] (numeric) = 0.4220852417264075426647783763684
absolute error = 1.6e-31
relative error = 3.7907034926303059029434925473041e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.952
y[1] (analytic) = 0.42121457324732763849626349806156
y[1] (numeric) = 0.42121457324732763849626349806183
absolute error = 2.7e-31
relative error = 6.4100346272079747653302936879473e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=2025.6MB, alloc=4.6MB, time=176.47
x[1] = 1.953
y[1] (analytic) = 0.42034371763373617087134430921076
y[1] (numeric) = 0.420343717633736170871344309211
absolute error = 2.4e-31
relative error = 5.7096131078405333982434772639366e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.954
y[1] (analytic) = 0.41947267503884291878287457327491
y[1] (numeric) = 0.4194726750388429187828745732752
absolute error = 2.9e-31
relative error = 6.9134419774338381749429128736480e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.955
y[1] (analytic) = 0.41860144561581818991939107026871
y[1] (numeric) = 0.41860144561581818991939107026892
absolute error = 2.1e-31
relative error = 5.0167050830668340296493096108507e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.956
y[1] (analytic) = 0.41773002951779282706010797884391
y[1] (numeric) = 0.41773002951779282706010797884428
absolute error = 3.7e-31
relative error = 8.8573952997133089691584832893296e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.957
y[1] (analytic) = 0.41685842689785821446914441306926
y[1] (numeric) = 0.4168584268978582144691444130694
absolute error = 1.4e-31
relative error = 3.3584543568386072824464612862984e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=2029.4MB, alloc=4.6MB, time=176.63
x[1] = 1.958
y[1] (analytic) = 0.41598663790906628428898518729242
y[1] (numeric) = 0.41598663790906628428898518729259
absolute error = 1.7e-31
relative error = 4.0866697270493002305624815975245e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used
Radius of convergence = 9.017
Order of pole = 21.34
TOP MAIN SOLVE Loop
x[1] = 1.959
y[1] (analytic) = 0.41511466270442952293317488247594
y[1] (numeric) = 0.41511466270442952293317488247619
absolute error = 2.5e-31
relative error = 6.0224324135234250242994421493618e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.96
y[1] (analytic) = 0.41424250143692097747824528737794
y[1] (numeric) = 0.41424250143692097747824528737814
absolute error = 2.0e-31
relative error = 4.8280898098635858731493285981669e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.961
y[1] (analytic) = 0.41337015425947426205487628795332
y[1] (numeric) = 0.41337015425947426205487628795351
absolute error = 1.9e-31
relative error = 4.5963647361133906439745569525069e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.962
y[1] (analytic) = 0.412497621324983564238290278342
y[1] (numeric) = 0.41249762132498356423829027834229
absolute error = 2.9e-31
relative error = 7.0303435706729903506108782892237e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.963
y[1] (analytic) = 0.41162490278630365143788016680379
y[1] (numeric) = 0.41162490278630365143788016680392
absolute error = 1.3e-31
relative error = 3.1582151400468086922369877468433e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=2033.3MB, alloc=4.6MB, time=176.79
x[1] = 1.964
y[1] (analytic) = 0.41075199879624987728607104995302
y[1] (numeric) = 0.41075199879624987728607104995324
absolute error = 2.2e-31
relative error = 5.3560299315580245193509672276827e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.965
y[1] (analytic) = 0.40987890950759818802641562864631
y[1] (numeric) = 0.40987890950759818802641562864657
absolute error = 2.6e-31
relative error = 6.3433368726472668965826132052479e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.966
y[1] (analytic) = 0.40900563507308512890092343886077
y[1] (numeric) = 0.40900563507308512890092343886087
absolute error = 1.0e-31
relative error = 2.4449540892543209465317221928298e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.967
y[1] (analytic) = 0.40813217564540785053662397090279
y[1] (numeric) = 0.40813217564540785053662397090303
absolute error = 2.4e-31
relative error = 5.8804479117695456210288702579111e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.968
y[1] (analytic) = 0.40725853137722411533136375028036
y[1] (numeric) = 0.40725853137722411533136375028049
absolute error = 1.3e-31
relative error = 3.1920755486786159553250255961839e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=2037.1MB, alloc=4.6MB, time=176.94
x[1] = 1.969
y[1] (analytic) = 0.40638470242115230383883745355831
y[1] (numeric) = 0.40638470242115230383883745355854
absolute error = 2.3e-31
relative error = 5.6596618580795405273917176357554e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.97
y[1] (analytic) = 0.4055106889297714211528531325236
y[1] (numeric) = 0.40551068892977142115285313252384
absolute error = 2.4e-31
relative error = 5.9184629789515739348888540425206e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.971
y[1] (analytic) = 0.40463649105562110329083161996744
y[1] (numeric) = 0.4046364910556211032908316199677
absolute error = 2.6e-31
relative error = 6.4255203311423671622443755359799e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.972
y[1] (analytic) = 0.40376210895120162357654019039676
y[1] (numeric) = 0.403762108951201623576540190397
absolute error = 2.4e-31
relative error = 5.9440941752413477339447970963001e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.973
y[1] (analytic) = 0.40288754276897389902206054897445
y[1] (numeric) = 0.40288754276897389902206054897466
absolute error = 2.1e-31
relative error = 5.2123726277736865273064332673392e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.974
y[1] (analytic) = 0.40201279266135949670899122198561
y[1] (numeric) = 0.40201279266135949670899122198574
absolute error = 1.3e-31
relative error = 3.2337279403321656413562982713718e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=2040.9MB, alloc=4.6MB, time=177.10
x[1] = 1.975
y[1] (analytic) = 0.40113785878074064016888442211907
y[1] (numeric) = 0.40113785878074064016888442211939
absolute error = 3.2e-31
relative error = 7.9773073768863569385310461774744e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.976
y[1] (analytic) = 0.40026274127946021576291746185086
y[1] (numeric) = 0.40026274127946021576291746185103
absolute error = 1.7e-31
relative error = 4.2472102063905911225737101528066e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.977
y[1] (analytic) = 0.39938744030982177906079878820293
y[1] (numeric) = 0.39938744030982177906079878820329
absolute error = 3.6e-31
relative error = 9.0138037320535850892814521165289e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.978
y[1] (analytic) = 0.39851195602408956121890871215819
y[1] (numeric) = 0.39851195602408956121890871215842
absolute error = 2.3e-31
relative error = 5.7714705047920012918048740226654e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.979
y[1] (analytic) = 0.3976362885744884753576749059887
y[1] (numeric) = 0.39763628857448847535767490598893
absolute error = 2.3e-31
relative error = 5.7841803328499411486991568256222e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.98
y[1] (analytic) = 0.39676043811320412293818274176717
y[1] (numeric) = 0.3967604381132041229381827417675
absolute error = 3.3e-31
relative error = 8.3173615184345581959102081426284e-29 %
Correct digits = 30
h = 0.001
memory used=2044.7MB, alloc=4.6MB, time=177.25
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.981
y[1] (analytic) = 0.39588440479238280013802054431101
y[1] (numeric) = 0.39588440479238280013802054431124
absolute error = 2.3e-31
relative error = 5.8097767230972626342094997405414e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.982
y[1] (analytic) = 0.3950081887641315042263598318092
y[1] (numeric) = 0.39500818876413150422635983180956
absolute error = 3.6e-31
relative error = 9.1137351133488601980983276041107e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.983
y[1] (analytic) = 0.39413179018051793993827061737888
y[1] (numeric) = 0.39413179018051793993827061737919
absolute error = 3.1e-31
relative error = 7.8653893881032943596030617727973e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.984
y[1] (analytic) = 0.39325520919357052584827184478341
y[1] (numeric) = 0.39325520919357052584827184478375
absolute error = 3.4e-31
relative error = 8.6457850284353915466499143411543e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.985
y[1] (analytic) = 0.39237844595527840074311703154951
y[1] (numeric) = 0.39237844595527840074311703154978
absolute error = 2.7e-31
relative error = 6.8811119158867720515516043515982e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=2048.5MB, alloc=4.6MB, time=177.41
x[1] = 1.986
y[1] (analytic) = 0.39150150061759142999381519270474
y[1] (numeric) = 0.39150150061759142999381519270496
absolute error = 2.2e-31
relative error = 5.6193909768660204134670553873902e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.987
y[1] (analytic) = 0.39062437333242021192688711835852
y[1] (numeric) = 0.39062437333242021192688711835869
absolute error = 1.7e-31
relative error = 4.3520069817899071976394741791057e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.988
y[1] (analytic) = 0.38974706425163608419485707833892
y[1] (numeric) = 0.38974706425163608419485707833908
absolute error = 1.6e-31
relative error = 4.1052265603903994094247697217789e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.989
y[1] (analytic) = 0.38886957352707113014598002709466
y[1] (numeric) = 0.38886957352707113014598002709481
absolute error = 1.5e-31
relative error = 3.8573344435125305509743123223511e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.99
y[1] (analytic) = 0.38799190131051818519320438206401
y[1] (numeric) = 0.38799190131051818519320438206432
absolute error = 3.1e-31
relative error = 7.9898574932341279753893969071910e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.991
y[1] (analytic) = 0.38711404775373084318237044870867
y[1] (numeric) = 0.3871140477537308431823704487089
absolute error = 2.3e-31
relative error = 5.9414015413441775894988837934677e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=2052.3MB, alloc=4.6MB, time=177.57
x[1] = 1.992
y[1] (analytic) = 0.38623601300842346275964456540042
y[1] (numeric) = 0.38623601300842346275964456540063
absolute error = 2.1e-31
relative error = 5.4370900932901895765953282356620e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.993
y[1] (analytic) = 0.38535779722627117373818904134982
y[1] (numeric) = 0.38535779722627117373818904134998
absolute error = 1.6e-31
relative error = 4.1519855353037669550068387944613e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.994
y[1] (analytic) = 0.38447940055890988346406796075204
y[1] (numeric) = 0.38447940055890988346406796075229
absolute error = 2.5e-31
relative error = 6.5022989433654985294792308243415e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.995
y[1] (analytic) = 0.38360082315793628318138892632617
y[1] (numeric) = 0.38360082315793628318138892632637
absolute error = 2.0e-31
relative error = 5.2137531497854977388763818002749e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.996
y[1] (analytic) = 0.38272206517490785439668081541232
y[1] (numeric) = 0.3827220651749078543966808154126
absolute error = 2.8e-31
relative error = 7.3160140341539275571951447655974e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=2056.1MB, alloc=4.6MB, time=177.72
x[1] = 1.997
y[1] (analytic) = 0.38184312676134287524250762179187
y[1] (numeric) = 0.38184312676134287524250762179218
absolute error = 3.1e-31
relative error = 8.1185172201293595027841440327823e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.998
y[1] (analytic) = 0.38096400806872042684031845638301
y[1] (numeric) = 0.38096400806872042684031845638325
absolute error = 2.4e-31
relative error = 6.2998077224320742769551432239240e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 1.999
y[1] (analytic) = 0.38008470924848039966253377996358
y[1] (numeric) = 0.38008470924848039966253377996373
absolute error = 1.5e-31
relative error = 3.9464886734482520767703800462765e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2
y[1] (analytic) = 0.37920523045202349989386794106468
y[1] (numeric) = 0.37920523045202349989386794106498
absolute error = 3.0e-31
relative error = 7.9112832816781404685900609952066e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.001
y[1] (analytic) = 0.37832557183071125579188809217446
y[1] (numeric) = 0.37832557183071125579188809217454
absolute error = 8e-32
relative error = 2.1145808255276350510087272792850e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.002
y[1] (analytic) = 0.3774457335358660240468095573799
y[1] (numeric) = 0.37744573353586602404680955738019
absolute error = 2.9e-31
relative error = 7.6832236857816630070047887184520e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=2060.0MB, alloc=4.6MB, time=177.88
x[1] = 2.003
y[1] (analytic) = 0.37656571571877099614052772458169
y[1] (numeric) = 0.37656571571877099614052772458197
absolute error = 2.8e-31
relative error = 7.4356211495661286620391816942813e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.004
y[1] (analytic) = 0.37568551853067020470488653539256
y[1] (numeric) = 0.37568551853067020470488653539283
absolute error = 2.7e-31
relative error = 7.1868620610128134853911177980568e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.005
y[1] (analytic) = 0.3748051421227685298791836458425
y[1] (numeric) = 0.37480514212276852987918364584272
absolute error = 2.2e-31
relative error = 5.8697166947602429386547318045514e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.006
y[1] (analytic) = 0.37392458664623170566691233099486
y[1] (numeric) = 0.37392458664623170566691233099518
absolute error = 3.2e-31
relative error = 8.5578753424617808376903889355871e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.007
y[1] (analytic) = 0.37304385225218632629174020657924
y[1] (numeric) = 0.37304385225218632629174020657956
absolute error = 3.2e-31
relative error = 8.5780799782131928115992219467432e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=2063.8MB, alloc=4.6MB, time=178.04
x[1] = 2.008
y[1] (analytic) = 0.37216293909171985255272484073596
y[1] (numeric) = 0.37216293909171985255272484073622
absolute error = 2.6e-31
relative error = 6.9861873037261991597624251880180e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.009
y[1] (analytic) = 0.37128184731588061817876632896602
y[1] (numeric) = 0.37128184731588061817876632896621
absolute error = 1.9e-31
relative error = 5.1174061261969282042089938809866e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.01
y[1] (analytic) = 0.37040057707567783618229690537076
y[1] (numeric) = 0.37040057707567783618229690537106
absolute error = 3.0e-31
relative error = 8.0993394332294993082239191186924e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.011
y[1] (analytic) = 0.36951912852208160521220766326236
y[1] (numeric) = 0.36951912852208160521220766326252
absolute error = 1.6e-31
relative error = 4.3299517575702111851604182713642e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.012
y[1] (analytic) = 0.36863750180602291590601245821606
y[1] (numeric) = 0.36863750180602291590601245821624
absolute error = 1.8e-31
relative error = 4.8828455899941513536738638993773e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.013
y[1] (analytic) = 0.36775569707839365724124906663732
y[1] (numeric) = 0.36775569707839365724124906663748
absolute error = 1.6e-31
relative error = 4.3507143810716590695145513485939e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=2067.6MB, alloc=4.6MB, time=178.20
x[1] = 2.014
y[1] (analytic) = 0.36687371449004662288611767290098
y[1] (numeric) = 0.3668737144900466228861176729012
absolute error = 2.2e-31
relative error = 5.9966138567817361554881331445037e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.015
y[1] (analytic) = 0.36599155419179551754935675812274
y[1] (numeric) = 0.36599155419179551754935675812301
absolute error = 2.7e-31
relative error = 7.3772194168860038334742146040731e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.016
y[1] (analytic) = 0.36510921633441496332935646361124
y[1] (numeric) = 0.36510921633441496332935646361157
absolute error = 3.3e-31
relative error = 9.0383913973221280514270820850616e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.017
y[1] (analytic) = 0.36422670106864050606250950204711
y[1] (numeric) = 0.36422670106864050606250950204728
absolute error = 1.7e-31
relative error = 4.6674227754643000175993351687815e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.018
y[1] (analytic) = 0.36334400854516862167079968942595
y[1] (numeric) = 0.36334400854516862167079968942617
absolute error = 2.2e-31
relative error = 6.0548679715645014119608379446515e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.019
y[1] (analytic) = 0.36246113891465672250862817080208
y[1] (numeric) = 0.3624611389146567225086281708022
absolute error = 1.2e-31
relative error = 3.3106997445112204621374180112970e-29 %
Correct digits = 30
h = 0.001
NO POLE
memory used=2071.4MB, alloc=4.6MB, time=178.36
TOP MAIN SOLVE Loop
x[1] = 2.02
y[1] (analytic) = 0.36157809232772316370887741285511
y[1] (numeric) = 0.36157809232772316370887741285519
absolute error = 8e-32
relative error = 2.2125234270966417475643982792209e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.021
y[1] (analytic) = 0.36069486893494724952821303630552
y[1] (numeric) = 0.36069486893494724952821303630586
absolute error = 3.4e-31
relative error = 9.4262499769942762552524589983429e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.022
y[1] (analytic) = 0.35981146888686923969162356119335
y[1] (numeric) = 0.35981146888686923969162356119365
absolute error = 3.0e-31
relative error = 8.3376997661607343421527686767915e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.023
y[1] (analytic) = 0.35892789233399035573619813802695
y[1] (numeric) = 0.35892789233399035573619813802704
absolute error = 9e-32
relative error = 2.5074674307075864163296689630538e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.024
y[1] (analytic) = 0.35804413942677278735414233781028
y[1] (numeric) = 0.35804413942677278735414233781041
absolute error = 1.3e-31
relative error = 3.6308372539801788647338227474961e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=2075.2MB, alloc=4.6MB, time=178.52
x[1] = 2.025
y[1] (analytic) = 0.35716021031563969873503207394529
y[1] (numeric) = 0.35716021031563969873503207394549
absolute error = 2.0e-31
relative error = 5.5997279154710530822080311078098e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.026
y[1] (analytic) = 0.35627610515097523490730572899945
y[1] (numeric) = 0.3562761051509752349073057289998
absolute error = 3.5e-31
relative error = 9.8238415358134759456809863308714e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.027
y[1] (analytic) = 0.35539182408312452807899455932819
y[1] (numeric) = 0.35539182408312452807899455932841
absolute error = 2.2e-31
relative error = 6.1903506240634000227625394426570e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.028
y[1] (analytic) = 0.35450736726239370397769145052947
y[1] (numeric) = 0.35450736726239370397769145052979
absolute error = 3.2e-31
relative error = 9.0266107153464999220608942485228e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.029
y[1] (analytic) = 0.35362273483904988818975809671025
y[1] (numeric) = 0.35362273483904988818975809671048
absolute error = 2.3e-31
relative error = 6.5041067030004072025336814572504e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.03
y[1] (analytic) = 0.35273792696332121249877067652739
y[1] (numeric) = 0.35273792696332121249877067652754
absolute error = 1.5e-31
relative error = 4.2524488730580272094606302157033e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=2079.0MB, alloc=4.6MB, time=178.67
x[1] = 2.031
y[1] (analytic) = 0.35185294378539682122320409897185
y[1] (numeric) = 0.351852943785396821223204098972
absolute error = 1.5e-31
relative error = 4.2631446645360011442586168665712e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.032
y[1] (analytic) = 0.35096778545542687755335489185022
y[1] (numeric) = 0.35096778545542687755335489185057
absolute error = 3.5e-31
relative error = 9.9724252340091256923792575708045e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.033
y[1] (analytic) = 0.35008245212352256988750280591687
y[1] (numeric) = 0.35008245212352256988750280591706
absolute error = 1.9e-31
relative error = 5.4272928805057810663065689546665e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.034
y[1] (analytic) = 0.34919694393975611816731120759911
y[1] (numeric) = 0.34919694393975611816731120759928
absolute error = 1.7e-31
relative error = 4.8683129377366087984594569961399e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.035
y[1] (analytic) = 0.34831126105416078021246633326095
y[1] (numeric) = 0.34831126105416078021246633326116
absolute error = 2.1e-31
relative error = 6.0290901696498976311892785347801e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=2082.8MB, alloc=4.6MB, time=178.83
x[1] = 2.036
y[1] (analytic) = 0.3474254036167308580545554779339
y[1] (numeric) = 0.34742540361673085805455547793408
absolute error = 1.8e-31
relative error = 5.1809682920760315838922815862616e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.037
y[1] (analytic) = 0.3465393717774217042701841914454
y[1] (numeric) = 0.34653937177742170427018419144566
absolute error = 2.6e-31
relative error = 7.5027549875918584466545729372250e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.038
y[1] (analytic) = 0.34565316568614972831333255486822
y[1] (numeric) = 0.34565316568614972831333255486833
absolute error = 1.1e-31
relative error = 3.1823808059631401743387105477701e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.039
y[1] (analytic) = 0.3447667854927924028469506102038
y[1] (numeric) = 0.34476678549279240284695061020414
absolute error = 3.4e-31
relative error = 9.8617388422153544161616112929603e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.04
y[1] (analytic) = 0.34388023134718827007379301621636
y[1] (numeric) = 0.34388023134718827007379301621656
absolute error = 2.0e-31
relative error = 5.8159784066818325424400436973135e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.041
y[1] (analytic) = 0.34299350339913694806649300331403
y[1] (numeric) = 0.34299350339913694806649300331419
absolute error = 1.6e-31
relative error = 4.6648113860573662821340255832149e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=2086.7MB, alloc=4.6MB, time=178.98
x[1] = 2.042
y[1] (analytic) = 0.342106601798399137096875700385
y[1] (numeric) = 0.34210660179839913709687570038527
absolute error = 2.7e-31
relative error = 7.8922768102297242869713160369883e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used
Radius of convergence = 97.2
Order of pole = 7.557
TOP MAIN SOLVE Loop
x[1] = 2.043
y[1] (analytic) = 0.34121952669469662596451090647612
y[1] (numeric) = 0.3412195266946966259645109064764
absolute error = 2.8e-31
relative error = 8.2058609808262146858682305688690e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.044
y[1] (analytic) = 0.34033227823771229832450538020247
y[1] (numeric) = 0.34033227823771229832450538020267
absolute error = 2.0e-31
relative error = 5.8766097954513076751625898071813e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.045
y[1] (analytic) = 0.33944485657709013901453471977073
y[1] (numeric) = 0.33944485657709013901453471977096
absolute error = 2.3e-31
relative error = 6.7757691873515102486658864035582e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.046
y[1] (analytic) = 0.33855726186243524038111490649179
y[1] (numeric) = 0.33855726186243524038111490649197
absolute error = 1.8e-31
relative error = 5.3166781598422412602972736030092e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=2090.5MB, alloc=4.6MB, time=179.14
x[1] = 2.047
y[1] (analytic) = 0.33766949424331380860511358465092
y[1] (numeric) = 0.33766949424331380860511358465108
absolute error = 1.6e-31
relative error = 4.7383611113152297715692756019175e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.048
y[1] (analytic) = 0.33678155386925317002650115060169
y[1] (numeric) = 0.33678155386925317002650115060196
absolute error = 2.7e-31
relative error = 8.0170661634520695470131314627468e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.049
y[1] (analytic) = 0.33589344088974177746834172394108
y[1] (numeric) = 0.33589344088974177746834172394139
absolute error = 3.1e-31
relative error = 9.2291174004126686120837338830095e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.05
y[1] (analytic) = 0.33500515545422921656002407361727
y[1] (numeric) = 0.33500515545422921656002407361759
absolute error = 3.2e-31
relative error = 9.5520918048594232019184237468133e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.051
y[1] (analytic) = 0.33411669771212621205973257181854
y[1] (numeric) = 0.33411669771212621205973257181878
absolute error = 2.4e-31
relative error = 7.1831190013371665613091897357447e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.052
y[1] (analytic) = 0.33322806781280463417615824848249
y[1] (numeric) = 0.33322806781280463417615824848276
absolute error = 2.7e-31
relative error = 8.1025587601965193737046217747301e-29 %
Correct digits = 30
h = 0.001
Complex estimate of poles used
Radius of convergence = 4.499
Order of pole = 8.189
TOP MAIN SOLVE Loop
memory used=2094.3MB, alloc=4.6MB, time=179.30
x[1] = 2.053
y[1] (analytic) = 0.3323392659055975048894500192623
y[1] (numeric) = 0.33233926590559750488945001926248
absolute error = 1.8e-31
relative error = 5.4161520610426402893378631061962e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.054
y[1] (analytic) = 0.33145029213979900427140615977654
y[1] (numeric) = 0.33145029213979900427140615977682
absolute error = 2.8e-31
relative error = 8.4477222268339918805296512253908e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.055
y[1] (analytic) = 0.33056114666466447680490609896963
y[1] (numeric) = 0.33056114666466447680490609896985
absolute error = 2.2e-31
relative error = 6.6553496144293544123046439798399e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.056
y[1] (analytic) = 0.329671829629410437702582604396
y[1] (numeric) = 0.32967182962941043770258260439617
absolute error = 1.7e-31
relative error = 5.1566432045801370050613810666534e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.057
y[1] (analytic) = 0.32878234118321457922473443224387
y[1] (numeric) = 0.32878234118321457922473443224405
absolute error = 1.8e-31
relative error = 5.4747465862132376746015394710303e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.058
y[1] (analytic) = 0.32789268147521577699647951490196
y[1] (numeric) = 0.32789268147521577699647951490215
absolute error = 1.9e-31
relative error = 5.7945788587038473886938564475427e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=2098.1MB, alloc=4.6MB, time=179.46
x[1] = 2.059
y[1] (analytic) = 0.32700285065451409632414875886989
y[1] (numeric) = 0.32700285065451409632414875887003
absolute error = 1.4e-31
relative error = 4.2813082430254763964015948427475e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.06
y[1] (analytic) = 0.32611284887017079851092052580639
y[1] (numeric) = 0.32611284887017079851092052580664
absolute error = 2.5e-31
relative error = 7.6660579571192491809539095397274e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.061
y[1] (analytic) = 0.3252226762712083471716958695048
y[1] (numeric) = 0.32522267627120834717169586950518
absolute error = 3.8e-31
relative error = 1.1684302102080728648330517745808e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.062
y[1] (analytic) = 0.32433233300661041454721460157686
y[1] (numeric) = 0.32433233300661041454721460157708
absolute error = 2.2e-31
relative error = 6.7831658336548285548115212462042e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.063
y[1] (analytic) = 0.32344181922532188781741225862153
y[1] (numeric) = 0.32344181922532188781741225862175
absolute error = 2.2e-31
relative error = 6.8018415344967999478518168635138e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=2101.9MB, alloc=4.6MB, time=179.61
x[1] = 2.064
y[1] (analytic) = 0.32255113507624887541401804365284
y[1] (numeric) = 0.32255113507624887541401804365317
absolute error = 3.3e-31
relative error = 1.0230935938947797037584039845264e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.065
y[1] (analytic) = 0.32166028070825871333239381454818
y[1] (numeric) = 0.32166028070825871333239381454853
absolute error = 3.5e-31
relative error = 1.0881045033889185959129960661863e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.066
y[1] (analytic) = 0.32076925627017997144261419227784
y[1] (numeric) = 0.32076925627017997144261419227814
absolute error = 3.0e-31
relative error = 9.3525172420923567519666853875756e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.067
y[1] (analytic) = 0.31987806191080245979978786166999
y[1] (numeric) = 0.31987806191080245979978786167028
absolute error = 2.9e-31
relative error = 9.0659546412053129594183008262343e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.068
y[1] (analytic) = 0.31898669777887723495362013745832
y[1] (numeric) = 0.31898669777887723495362013745866
absolute error = 3.4e-31
relative error = 1.0658751677340766864317112226163e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.069
y[1] (analytic) = 0.31809516402311660625721686835409
y[1] (numeric) = 0.31809516402311660625721686835436
absolute error = 2.7e-31
relative error = 8.4880259286299166959571087602458e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=2105.7MB, alloc=4.6MB, time=179.77
x[1] = 2.07
y[1] (analytic) = 0.31720346079219414217512975187826
y[1] (numeric) = 0.31720346079219414217512975187842
absolute error = 1.6e-31
relative error = 5.0440811585223832475302316490551e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.071
y[1] (analytic) = 0.3163115882347446765906431326851
y[1] (numeric) = 0.31631158823474467659064313268532
absolute error = 2.2e-31
relative error = 6.9551672522579587338256903644778e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.072
y[1] (analytic) = 0.31541954649936431511230235710147
y[1] (numeric) = 0.31541954649936431511230235710178
absolute error = 3.1e-31
relative error = 9.8281797510803523564806652263843e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.073
y[1] (analytic) = 0.31452733573461044137968375659937
y[1] (numeric) = 0.31452733573461044137968375659963
absolute error = 2.6e-31
relative error = 8.2663721228790391976681950530044e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.074
y[1] (analytic) = 0.31363495608900172336840633291528
y[1] (numeric) = 0.3136349560890017233684063329155
absolute error = 2.2e-31
relative error = 7.0145242336306902429505302739305e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
memory used=2109.5MB, alloc=4.6MB, time=179.93
x[1] = 2.075
y[1] (analytic) = 0.3127424077110181196943852175242
y[1] (numeric) = 0.31274240771101811969438521752441
absolute error = 2.1e-31
relative error = 6.7147913049913365672371151818920e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.076
y[1] (analytic) = 0.31184969074910088591732697816818
y[1] (numeric) = 0.31184969074910088591732697816843
absolute error = 2.5e-31
relative error = 8.0166826332092744339264306354855e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.077
y[1] (analytic) = 0.31095680535165258084346684513574
y[1] (numeric) = 0.31095680535165258084346684513588
absolute error = 1.4e-31
relative error = 4.5022330301367038273811890253059e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.078
y[1] (analytic) = 0.31006375166703707282754792998027
y[1] (numeric) = 0.31006375166703707282754792998064
absolute error = 3.7e-31
relative error = 1.1933029836951907053449173987090e-28 %
Correct digits = 29
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.079
y[1] (analytic) = 0.30917052984357954607404250936501
y[1] (numeric) = 0.30917052984357954607404250936529
absolute error = 2.8e-31
relative error = 9.0564906086508968755247931491776e-29 %
Correct digits = 30
h = 0.001
NO POLE
TOP MAIN SOLVE Loop
x[1] = 2.08
y[1] (analytic) = 0.30827714002956650693761544670587
y[1] (numeric) = 0.30827714002956650693761544670619
absolute error = 3.2e-31
relative error = 1.0380270167593651835733001925868e-28 %
Correct digits = 29
h = 0.001
NO POLE
Finished!
Maximum Time Reached before Solution Completed!
diff ( y , x , 1 ) = cos(sqrt(2.0*x + 3.0));
Iterations = 3081
Total Elapsed Time = 3 Minutes 0 Seconds
Elapsed Time(since restart) = 2 Minutes 59 Seconds
Expected Time Remaining = 2 Minutes 50 Seconds
Optimized Time Remaining = 2 Minutes 50 Seconds
Expected Total Time = 5 Minutes 50 Seconds
Time to Timeout Unknown
Percent Done = 51.37 %
> quit
memory used=2113.2MB, alloc=4.6MB, time=180.06