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._|\| |/|_. 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_0D000001,
> #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,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> 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_0D000001, 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, array_tmp5, array_tmp6,
array_tmp7, array_tmp8, array_tmp9, 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_0D000001,
> #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,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> 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_0D000001, 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, array_tmp5, array_tmp6,
array_tmp7, array_tmp8, array_tmp9, 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_0D000001,
> #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,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> 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_0D000001, 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, array_tmp5, array_tmp6,
array_tmp7, array_tmp8, array_tmp9, 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_0D000001,
> #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,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> 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 <> 0.0) 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_0D000001, 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, array_tmp5, array_tmp6,
array_tmp7, array_tmp8, array_tmp9, 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 relerr <> 0. 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_0D000001,
> #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,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> 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_0D000001, 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, array_tmp5, array_tmp6,
array_tmp7, array_tmp8, array_tmp9, 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_0D000001,
> #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,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> 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_0D000001, 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, array_tmp5, array_tmp6,
array_tmp7, array_tmp8, array_tmp9, 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_0D000001,
> #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,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> 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
> array_complex_pole[1,1] := glob_large_float;
> array_complex_pole[1,2] := 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))) then # if number 2
> array_complex_pole[1,1] := glob_large_float;
> array_complex_pole[1,2] := 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
> array_complex_pole[1,1] := glob_large_float;
> array_complex_pole[1,2] := 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_0D000001, 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, array_tmp5, array_tmp6,
array_tmp7, array_tmp8, array_tmp9, 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
array_complex_pole[1, 1] := glob_large_float;
array_complex_pole[1, 2] := 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]) then
array_complex_pole[1, 1] := glob_large_float;
array_complex_pole[1, 2] := 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
array_complex_pole[1, 1] := glob_large_float;
array_complex_pole[1, 2] := 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_0D000001,
> #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,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> 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_0D000001, 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, array_tmp5, array_tmp6,
array_tmp7, array_tmp8, array_tmp9, 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_0D000001,
> #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,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> 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 FULL CONST $eq_no = 1 i = 1
> array_tmp1[1] := array_m1[1] * array_const_2D0[1];
> #emit pre mult FULL LINEAR $eq_no = 1 i = 1
> #emit pre mult LINEAR - FULL $eq_no = 1 i = 1
> array_tmp2[1] := array_tmp1[1] * array_x[1];
> #emit pre mult LINEAR - LINEAR $eq_no = 1 i = 1
> array_tmp3[1] := array_x[1] * array_x[1];
> #emit pre add FULL - CONST $eq_no = 1 i = 1
> array_tmp4[1] := array_tmp3[1] + array_const_0D000001[1];
> #emit pre div FULL - FULL $eq_no = 1 i = 1
> array_tmp5[1] := (array_tmp2[1] / (array_tmp4[1]));
> #emit pre mult LINEAR - LINEAR $eq_no = 1 i = 1
> array_tmp6[1] := array_x[1] * array_x[1];
> #emit pre add FULL - CONST $eq_no = 1 i = 1
> array_tmp7[1] := array_tmp6[1] + array_const_0D000001[1];
> #emit pre div FULL - FULL $eq_no = 1 i = 1
> array_tmp8[1] := (array_tmp5[1] / (array_tmp7[1]));
> #emit pre add CONST FULL $eq_no = 1 i = 1
> array_tmp9[1] := array_const_0D0[1] + array_tmp8[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_tmp9[1] * expt(glob_h , (1)) * factorial_3(0,1);
> array_y[2] := temporary;
> array_y_higher[1,2] := temporary;
> temporary := temporary / glob_h;
> array_y_higher[2,1] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 2;
> #END ATOMHDR1
> #BEGIN ATOMHDR2
> #emit pre mult FULL CONST $eq_no = 1 i = 2
> array_tmp1[2] := array_m1[2] * array_const_2D0[1];
> #emit pre mult LINEAR FULL $eq_no = 1 i = 2
> array_tmp2[2] := array_tmp1[2] * array_x[kkk - 1] + array_tmp1[1] * array_x[kkk];
> #emit pre mult LINEAR - LINEAR $eq_no = 1 i = 2
> array_tmp3[2] := array_x[1] * array_x[2] + array_x[2] * array_x[1];
> #emit pre add FULL CONST $eq_no = 1 i = 2
> array_tmp4[2] := array_tmp3[2];
> #emit pre div FULL - FULL $eq_no = 1 i = 2
> array_tmp5[2] := ((array_tmp2[2] - ats(2,array_tmp4,array_tmp5,2))/array_tmp4[1]);
> #emit pre mult LINEAR - LINEAR $eq_no = 1 i = 2
> array_tmp6[2] := array_x[1] * array_x[2] + array_x[2] * array_x[1];
> #emit pre add FULL CONST $eq_no = 1 i = 2
> array_tmp7[2] := array_tmp6[2];
> #emit pre div FULL - FULL $eq_no = 1 i = 2
> array_tmp8[2] := ((array_tmp5[2] - ats(2,array_tmp7,array_tmp8,2))/array_tmp7[1]);
> #emit pre add CONST FULL $eq_no = 1 i = 2
> array_tmp9[2] := array_tmp8[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_tmp9[2] * expt(glob_h , (1)) * factorial_3(1,2);
> array_y[3] := temporary;
> array_y_higher[1,3] := temporary;
> temporary := temporary / glob_h;
> array_y_higher[2,2] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 3;
> #END ATOMHDR2
> #BEGIN ATOMHDR3
> #emit pre mult FULL CONST $eq_no = 1 i = 3
> array_tmp1[3] := array_m1[3] * array_const_2D0[1];
> #emit pre mult LINEAR FULL $eq_no = 1 i = 3
> array_tmp2[3] := array_tmp1[2] * array_x[kkk - 1] + array_tmp1[1] * array_x[kkk];
> #emit pre mult LINEAR - LINEAR $eq_no = 1 i = 3
> array_tmp3[3] := array_x[2] * array_x[2];
> #emit pre add FULL CONST $eq_no = 1 i = 3
> array_tmp4[3] := array_tmp3[3];
> #emit pre div FULL - FULL $eq_no = 1 i = 3
> array_tmp5[3] := ((array_tmp2[3] - ats(3,array_tmp4,array_tmp5,2))/array_tmp4[1]);
> #emit pre mult LINEAR - LINEAR $eq_no = 1 i = 3
> array_tmp6[3] := array_x[2] * array_x[2];
> #emit pre add FULL CONST $eq_no = 1 i = 3
> array_tmp7[3] := array_tmp6[3];
> #emit pre div FULL - FULL $eq_no = 1 i = 3
> array_tmp8[3] := ((array_tmp5[3] - ats(3,array_tmp7,array_tmp8,2))/array_tmp7[1]);
> #emit pre add CONST FULL $eq_no = 1 i = 3
> array_tmp9[3] := array_tmp8[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_tmp9[3] * expt(glob_h , (1)) * factorial_3(2,3);
> array_y[4] := temporary;
> array_y_higher[1,4] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y_higher[2,3] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 4;
> #END ATOMHDR3
> #BEGIN ATOMHDR4
> #emit pre mult FULL CONST $eq_no = 1 i = 4
> array_tmp1[4] := array_m1[4] * array_const_2D0[1];
> #emit pre mult LINEAR FULL $eq_no = 1 i = 4
> array_tmp2[4] := array_tmp1[2] * array_x[kkk - 1] + array_tmp1[1] * array_x[kkk];
> #emit pre add FULL CONST $eq_no = 1 i = 4
> array_tmp4[4] := array_tmp3[4];
> #emit pre div FULL - FULL $eq_no = 1 i = 4
> array_tmp5[4] := ((array_tmp2[4] - ats(4,array_tmp4,array_tmp5,2))/array_tmp4[1]);
> #emit pre add FULL CONST $eq_no = 1 i = 4
> array_tmp7[4] := array_tmp6[4];
> #emit pre div FULL - FULL $eq_no = 1 i = 4
> array_tmp8[4] := ((array_tmp5[4] - ats(4,array_tmp7,array_tmp8,2))/array_tmp7[1]);
> #emit pre add CONST FULL $eq_no = 1 i = 4
> array_tmp9[4] := array_tmp8[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_tmp9[4] * expt(glob_h , (1)) * factorial_3(3,4);
> array_y[5] := temporary;
> array_y_higher[1,5] := temporary;
> temporary := temporary / glob_h * (3.0);
> array_y_higher[2,4] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 5;
> #END ATOMHDR4
> #BEGIN ATOMHDR5
> #emit pre mult FULL CONST $eq_no = 1 i = 5
> array_tmp1[5] := array_m1[5] * array_const_2D0[1];
> #emit pre mult LINEAR FULL $eq_no = 1 i = 5
> array_tmp2[5] := array_tmp1[2] * array_x[kkk - 1] + array_tmp1[1] * array_x[kkk];
> #emit pre add FULL CONST $eq_no = 1 i = 5
> array_tmp4[5] := array_tmp3[5];
> #emit pre div FULL - FULL $eq_no = 1 i = 5
> array_tmp5[5] := ((array_tmp2[5] - ats(5,array_tmp4,array_tmp5,2))/array_tmp4[1]);
> #emit pre add FULL CONST $eq_no = 1 i = 5
> array_tmp7[5] := array_tmp6[5];
> #emit pre div FULL - FULL $eq_no = 1 i = 5
> array_tmp8[5] := ((array_tmp5[5] - ats(5,array_tmp7,array_tmp8,2))/array_tmp7[1]);
> #emit pre add CONST FULL $eq_no = 1 i = 5
> array_tmp9[5] := array_tmp8[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_tmp9[5] * expt(glob_h , (1)) * factorial_3(4,5);
> array_y[6] := temporary;
> array_y_higher[1,6] := temporary;
> temporary := temporary / glob_h * (4.0);
> 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 mult FULL CONST $eq_no = 1 i = 1
> array_tmp1[kkk] := array_m1[kkk] * array_const_2D0[1];
> #emit mult FULL LINEAR $eq_no = 1 i = 1
> array_tmp2[kkk] := array_tmp1[kkk-1] * array_x[2] + array_tmp1[kkk] * array_x[1];
> #emit mult LINEAR - LINEAR $eq_no = 1 i = 1
> #emit FULL - NOT FULL add $eq_no = 1
> array_tmp4[kkk] := array_tmp3[kkk];
> #emit div FULL FULL $eq_no = 1
> array_tmp5[kkk] := ((array_tmp2[kkk] - ats(kkk,array_tmp4,array_tmp5,2))/array_tmp4[1]);
> #emit mult LINEAR - LINEAR $eq_no = 1 i = 1
> #emit FULL - NOT FULL add $eq_no = 1
> array_tmp7[kkk] := array_tmp6[kkk];
> #emit div FULL FULL $eq_no = 1
> array_tmp8[kkk] := ((array_tmp5[kkk] - ats(kkk,array_tmp7,array_tmp8,2))/array_tmp7[1]);
> #emit NOT FULL - FULL add $eq_no = 1
> array_tmp9[kkk] := array_tmp8[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_tmp9[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 - 2;
> adj3 := 2;
> while (term >= 1) do # do number 2
> if (adj3 <= order_d + 1) then # if number 3
> if (adj2 > 1) then # if number 4
> temporary := temporary / glob_h * convfp(adj2);
> else
> temporary := temporary / glob_h;
> 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_0D000001, 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, array_tmp5, array_tmp6,
array_tmp7, array_tmp8, array_tmp9, 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_m1[1]*array_const_2D0[1];
array_tmp2[1] := array_tmp1[1]*array_x[1];
array_tmp3[1] := array_x[1]*array_x[1];
array_tmp4[1] := array_tmp3[1] + array_const_0D000001[1];
array_tmp5[1] := array_tmp2[1]/array_tmp4[1];
array_tmp6[1] := array_x[1]*array_x[1];
array_tmp7[1] := array_tmp6[1] + array_const_0D000001[1];
array_tmp8[1] := array_tmp5[1]/array_tmp7[1];
array_tmp9[1] := array_const_0D0[1] + array_tmp8[1];
if not array_y_set_initial[1, 2] then
if 1 <= glob_max_terms then
temporary := array_tmp9[1]*expt(glob_h, 1)*factorial_3(0, 1);
array_y[2] := temporary;
array_y_higher[1, 2] := temporary;
temporary := temporary/glob_h;
array_y_higher[2, 1] := temporary
end if
end if;
kkk := 2;
array_tmp1[2] := array_m1[2]*array_const_2D0[1];
array_tmp2[2] :=
array_tmp1[2]*array_x[kkk - 1] + array_tmp1[1]*array_x[kkk];
array_tmp3[2] := 2*array_x[1]*array_x[2];
array_tmp4[2] := array_tmp3[2];
array_tmp5[2] :=
(array_tmp2[2] - ats(2, array_tmp4, array_tmp5, 2))/array_tmp4[1];
array_tmp6[2] := 2*array_x[1]*array_x[2];
array_tmp7[2] := array_tmp6[2];
array_tmp8[2] :=
(array_tmp5[2] - ats(2, array_tmp7, array_tmp8, 2))/array_tmp7[1];
array_tmp9[2] := array_tmp8[2];
if not array_y_set_initial[1, 3] then
if 2 <= glob_max_terms then
temporary := array_tmp9[2]*expt(glob_h, 1)*factorial_3(1, 2);
array_y[3] := temporary;
array_y_higher[1, 3] := temporary;
temporary := temporary/glob_h;
array_y_higher[2, 2] := temporary
end if
end if;
kkk := 3;
array_tmp1[3] := array_m1[3]*array_const_2D0[1];
array_tmp2[3] :=
array_tmp1[2]*array_x[kkk - 1] + array_tmp1[1]*array_x[kkk];
array_tmp3[3] := array_x[2]*array_x[2];
array_tmp4[3] := array_tmp3[3];
array_tmp5[3] :=
(array_tmp2[3] - ats(3, array_tmp4, array_tmp5, 2))/array_tmp4[1];
array_tmp6[3] := array_x[2]*array_x[2];
array_tmp7[3] := array_tmp6[3];
array_tmp8[3] :=
(array_tmp5[3] - ats(3, array_tmp7, array_tmp8, 2))/array_tmp7[1];
array_tmp9[3] := array_tmp8[3];
if not array_y_set_initial[1, 4] then
if 3 <= glob_max_terms then
temporary := array_tmp9[3]*expt(glob_h, 1)*factorial_3(2, 3);
array_y[4] := temporary;
array_y_higher[1, 4] := temporary;
temporary := temporary*2.0/glob_h;
array_y_higher[2, 3] := temporary
end if
end if;
kkk := 4;
array_tmp1[4] := array_m1[4]*array_const_2D0[1];
array_tmp2[4] :=
array_tmp1[2]*array_x[kkk - 1] + array_tmp1[1]*array_x[kkk];
array_tmp4[4] := array_tmp3[4];
array_tmp5[4] :=
(array_tmp2[4] - ats(4, array_tmp4, array_tmp5, 2))/array_tmp4[1];
array_tmp7[4] := array_tmp6[4];
array_tmp8[4] :=
(array_tmp5[4] - ats(4, array_tmp7, array_tmp8, 2))/array_tmp7[1];
array_tmp9[4] := array_tmp8[4];
if not array_y_set_initial[1, 5] then
if 4 <= glob_max_terms then
temporary := array_tmp9[4]*expt(glob_h, 1)*factorial_3(3, 4);
array_y[5] := temporary;
array_y_higher[1, 5] := temporary;
temporary := temporary*3.0/glob_h;
array_y_higher[2, 4] := temporary
end if
end if;
kkk := 5;
array_tmp1[5] := array_m1[5]*array_const_2D0[1];
array_tmp2[5] :=
array_tmp1[2]*array_x[kkk - 1] + array_tmp1[1]*array_x[kkk];
array_tmp4[5] := array_tmp3[5];
array_tmp5[5] :=
(array_tmp2[5] - ats(5, array_tmp4, array_tmp5, 2))/array_tmp4[1];
array_tmp7[5] := array_tmp6[5];
array_tmp8[5] :=
(array_tmp5[5] - ats(5, array_tmp7, array_tmp8, 2))/array_tmp7[1];
array_tmp9[5] := array_tmp8[5];
if not array_y_set_initial[1, 6] then
if 5 <= glob_max_terms then
temporary := array_tmp9[5]*expt(glob_h, 1)*factorial_3(4, 5);
array_y[6] := temporary;
array_y_higher[1, 6] := temporary;
temporary := temporary*4.0/glob_h;
array_y_higher[2, 5] := temporary
end if
end if;
kkk := 6;
while kkk <= glob_max_terms do
array_tmp1[kkk] := array_m1[kkk]*array_const_2D0[1];
array_tmp2[kkk] :=
array_tmp1[kkk - 1]*array_x[2] + array_tmp1[kkk]*array_x[1];
array_tmp4[kkk] := array_tmp3[kkk];
array_tmp5[kkk] := (
array_tmp2[kkk] - ats(kkk, array_tmp4, array_tmp5, 2))/
array_tmp4[1];
array_tmp7[kkk] := array_tmp6[kkk];
array_tmp8[kkk] := (
array_tmp5[kkk] - ats(kkk, array_tmp7, array_tmp8, 2))/
array_tmp7[1];
array_tmp9[kkk] := array_tmp8[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_tmp9[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 - 2;
adj3 := 2;
while 1 <= term do
if adj3 <= order_d + 1 then
if 1 < adj2 then
temporary := temporary*convfp(adj2)/glob_h
else temporary := temporary/glob_h
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 <> 0.0) 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 rel_error <> 0. 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(1.0 / (x * x + 0.000001));
> end;
exact_soln_y := proc(x) return 1.0/(x*x + 0.1*10^(-5)) 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;
> 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_0D000001,
> #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,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> 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/sing1postode.ode#################");
> omniout_str(ALWAYS,"diff ( y , x , 1 ) = m1 * 2.0 * x / (x * x + 0.000001) /( x * x + 0.000001);");
> 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 := -2.0;");
> omniout_str(ALWAYS,"x_end := 1.0;");
> omniout_str(ALWAYS,"array_y_init[0 + 1] := exact_soln_y(x_start);");
> omniout_str(ALWAYS,"glob_h := 0.1;");
> omniout_str(ALWAYS,"glob_look_poles := true;");
> omniout_str(ALWAYS,"glob_max_iter := 500;");
> 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,"#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(1.0 / (x * x + 0.000001));");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"");
> omniout_str(ALWAYS,"");
> omniout_str(ALWAYS,"#END USER DEF BLOCK");
> omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################");
> glob_unchanged_h_cnt := 0;
> glob_warned := false;
> glob_warned2 := false;
> glob_small_float := 1.0e-200;
> glob_smallish_float := 1.0e-64;
> glob_large_float := 1.0e100;
> glob_almost_1 := 0.99;
> glob_log10_abserr := -8.0;
> glob_log10_relerr := -8.0;
> glob_hmax := 0.01;
> #BEGIN FIRST INPUT BLOCK
> #BEGIN FIRST INPUT BLOCK
> Digits:=32;
> max_terms:=30;
> #END FIRST INPUT BLOCK
> #START OF INITS AFTER INPUT BLOCK
> glob_max_terms := max_terms;
> glob_html_log := true;
> #END OF INITS AFTER INPUT BLOCK
> array_y_init:= Array(0..(max_terms + 1),[]);
> array_norms:= Array(0..(max_terms + 1),[]);
> array_fact_1:= Array(0..(max_terms + 1),[]);
> array_pole:= Array(0..(max_terms + 1),[]);
> array_1st_rel_error:= Array(0..(max_terms + 1),[]);
> array_last_rel_error:= Array(0..(max_terms + 1),[]);
> array_type_pole:= Array(0..(max_terms + 1),[]);
> array_y:= Array(0..(max_terms + 1),[]);
> array_x:= Array(0..(max_terms + 1),[]);
> array_tmp0:= Array(0..(max_terms + 1),[]);
> array_tmp1:= Array(0..(max_terms + 1),[]);
> array_tmp2:= Array(0..(max_terms + 1),[]);
> array_tmp3:= Array(0..(max_terms + 1),[]);
> array_tmp4:= Array(0..(max_terms + 1),[]);
> array_tmp5:= Array(0..(max_terms + 1),[]);
> array_tmp6:= Array(0..(max_terms + 1),[]);
> array_tmp7:= Array(0..(max_terms + 1),[]);
> array_tmp8:= Array(0..(max_terms + 1),[]);
> array_tmp9:= 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[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_tmp6[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp7[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp8[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp9[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_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_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 := 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_tmp6 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp6[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp7 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp7[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp8 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp8[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp9 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp9[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_0D000001 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_0D000001[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_0D000001[1] := 0.000001;
> 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 := -2.0;
> x_end := 1.0;
> array_y_init[0 + 1] := exact_soln_y(x_start);
> glob_h := 0.1;
> glob_look_poles := true;
> glob_max_iter := 500;
> #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;
> #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();
> 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 := 1;
> #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
> display_alot(current_iter)
> ;
> 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 ) = m1 * 2.0 * x / (x * x + 0.000001) /( x * x + 0.000001);");
> 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,"2012-12-15T02:42:36-06:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> logitem_str(html_log_file,"sing1")
> ;
> logitem_str(html_log_file,"diff ( y , x , 1 ) = m1 * 2.0 * x / (x * x + 0.000001) /( x * x + 0.000001);")
> ;
> 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," 151 | ")
> ;
> logitem_str(html_log_file,"sing1 diffeq.mxt")
> ;
> logitem_str(html_log_file,"sing1 maple results")
> ;
> logitem_str(html_log_file,"Languages compared")
> ;
> 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;
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_0D000001, 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, array_tmp5, array_tmp6,
array_tmp7, array_tmp8, array_tmp9, 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/sing1postode.ode#################");
omniout_str(ALWAYS, "diff ( y , x , 1 ) = m1 * 2.0 * x / (x * x + 0.\
000001) /( x * x + 0.000001);");
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 := -2.0;");
omniout_str(ALWAYS, "x_end := 1.0;");
omniout_str(ALWAYS, "array_y_init[0 + 1] := exact_soln_y(x_start);");
omniout_str(ALWAYS, "glob_h := 0.1;");
omniout_str(ALWAYS, "glob_look_poles := true;");
omniout_str(ALWAYS, "glob_max_iter := 500;");
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, "#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(1.0 / (x * x + 0.000001));");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "");
omniout_str(ALWAYS, "");
omniout_str(ALWAYS, "#END USER DEF BLOCK");
omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################");
glob_unchanged_h_cnt := 0;
glob_warned := false;
glob_warned2 := false;
glob_small_float := 0.10*10^(-199);
glob_smallish_float := 0.10*10^(-63);
glob_large_float := 0.10*10^101;
glob_almost_1 := 0.99;
glob_log10_abserr := -8.0;
glob_log10_relerr := -8.0;
glob_hmax := 0.01;
Digits := 32;
max_terms := 30;
glob_max_terms := max_terms;
glob_html_log := true;
array_y_init := Array(0 .. max_terms + 1, []);
array_norms := Array(0 .. max_terms + 1, []);
array_fact_1 := Array(0 .. max_terms + 1, []);
array_pole := Array(0 .. max_terms + 1, []);
array_1st_rel_error := Array(0 .. max_terms + 1, []);
array_last_rel_error := Array(0 .. max_terms + 1, []);
array_type_pole := Array(0 .. max_terms + 1, []);
array_y := Array(0 .. max_terms + 1, []);
array_x := Array(0 .. max_terms + 1, []);
array_tmp0 := Array(0 .. max_terms + 1, []);
array_tmp1 := Array(0 .. max_terms + 1, []);
array_tmp2 := Array(0 .. max_terms + 1, []);
array_tmp3 := Array(0 .. max_terms + 1, []);
array_tmp4 := Array(0 .. max_terms + 1, []);
array_tmp5 := Array(0 .. max_terms + 1, []);
array_tmp6 := Array(0 .. max_terms + 1, []);
array_tmp7 := Array(0 .. max_terms + 1, []);
array_tmp8 := Array(0 .. max_terms + 1, []);
array_tmp9 := 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[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_tmp6[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp7[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp8[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp9[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_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_m1[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 := 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_tmp6 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp6[term] := 0.; term := term + 1
end do;
array_tmp7 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp7[term] := 0.; term := term + 1
end do;
array_tmp8 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp8[term] := 0.; term := term + 1
end do;
array_tmp9 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp9[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_0D000001 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D000001[term] := 0.; term := term + 1
end do;
array_const_0D000001[1] := 0.1*10^(-5);
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 := -2.0;
x_end := 1.0;
array_y_init[1] := exact_soln_y(x_start);
glob_h := 0.1;
glob_look_poles := true;
glob_max_iter := 500;
glob_desired_digits_correct := 10;
glob_display_interval := 0.001;
glob_look_poles := true;
glob_max_iter := 10000000;
glob_max_minutes := 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();
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 := 1;
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;
display_alot(current_iter)
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 ) = m1 * 2.0 * x / (x * x + \
0.000001) /( x * x + 0.000001);");
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, "2012-12-15T02:42:36-06:00");
logitem_str(html_log_file, "Maple");
logitem_str(html_log_file,
"sing1");
logitem_str(html_log_file, "diff ( y , x , 1 ) = m1 * 2.0 * x\
/ (x * x + 0.000001) /( x * x + 0.000001);");
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, " 151 | ");
logitem_str(html_log_file,
"sing1 diffeq.mxt");
logitem_str(html_log_file,
"sing1 maple results")
;
logitem_str(html_log_file, "Languages compared");
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/sing1postode.ode#################
diff ( y , x , 1 ) = m1 * 2.0 * x / (x * x + 0.000001) /( x * x + 0.000001);
!
#BEGIN FIRST INPUT BLOCK
Digits:=32;
max_terms:=30;
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start := -2.0;
x_end := 1.0;
array_y_init[0 + 1] := exact_soln_y(x_start);
glob_h := 0.1;
glob_look_poles := true;
glob_max_iter := 500;
#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;
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
exact_soln_y := proc(x)
return(1.0 / (x * x + 0.000001));
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 = 3
estimated_steps = 3000
step_error = 3.3333333333333333333333333333333e-14
est_needed_step_err = 3.3333333333333333333333333333333e-14
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
value3 = 6.8010712851368544201167556343750e-83
max_value3 = 6.8010712851368544201167556343750e-83
value3 = 6.8010712851368544201167556343750e-83
best_h = 0.001
START of Soultion
x[1] = -2
y[1] (analytic) = 0.24999993750001562499609375097656
y[1] (numeric) = 0.24999993750001562499609375097656
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 2.016
Order of pole = 4.437
x[1] = -1.999
y[1] (analytic) = 0.25025012499993743746875001564063
y[1] (numeric) = 0.25025012499993743842652894583762
absolute error = 9.5777893019699e-19
relative error = 3.8272865206250324339800000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 2.015
Order of pole = 4.437
x[1] = -1.998
y[1] (analytic) = 0.2505006882506409686360613275785
y[1] (numeric) = 0.25050068825064097055545931244976
absolute error = 1.91939798487126e-18
relative error = 7.6622463525959942762999999999999e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 2.014
Order of pole = 4.437
x[1] = -1.997
y[1] (analytic) = 0.2507516280049448221042575118919
y[1] (numeric) = 0.25075162800494482498913200579102
absolute error = 2.88487449389912e-18
relative error = 1.1504908330414629551200000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 2.013
Order of pole = 4.437
x[1] = -1.996
y[1] (analytic) = 0.25100294501755389095980263136427
y[1] (numeric) = 0.25100294501755389481402850546141
absolute error = 3.85422587409714e-18
relative error = 1.5355301404242865411380000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 2.012
Order of pole = 4.437
x[1] = -1.995
y[1] (analytic) = 0.25125464004506503223848286418229
y[1] (numeric) = 0.25125464004506503706595249388441
absolute error = 4.82746962970212e-18
relative error = 1.9213454640424809855120000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 2.011
Order of pole = 4.437
x[1] = -1.994
y[1] (analytic) = 0.251506713845972761319877053458
y[1] (numeric) = 0.25150671384597276712450040631204
absolute error = 5.80462335285404e-18
relative error = 2.3079397222011718639480000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 2.01
Order of pole = 4.437
x[1] = -1.993
y[1] (analytic) = 0.25175916718067496632721138958472
y[1] (numeric) = 0.25175916718067497311291611366659
absolute error = 6.78570472408187e-18
relative error = 2.6953158449289391733500000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 2.009
Order of pole = 4.437
x[1] = -1.992
y[1] (analytic) = 0.25201200081147864261296122921374
y[1] (numeric) = 0.25201200081147865038369274200605
absolute error = 7.77073151279231e-18
relative error = 3.0834767740308217580149999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 2.008
Order of pole = 4.437
x[1] = -1.991
y[1] (analytic) = 0.25226521550260564741092641373211
y[1] (numeric) = 0.25226521550260565617064799149364
absolute error = 8.75972157776153e-18
relative error = 3.4724254631416081365460000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 2.007
Order of pole = 4.437
x[1] = -1.99
y[1] (analytic) = 0.25251881202019847473587163559717
y[1] (numeric) = 0.25251881202019848448856450322696
absolute error = 9.75269286762979e-18
relative error = 3.8621648777793599008790000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 2.006
Order of pole = 4.437
x[1] = -1.989
y[1] (analytic) = 0.25277279113232605061219042284338
y[1] (numeric) = 0.25277279113232606136185384424251
absolute error = 1.074966342139913e-17
relative error = 4.2526979953992368973860000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 2.005
Order of pole = 4.437
x[1] = -1.988
y[1] (analytic) = 0.25302715360898954871342018068669
y[1] (numeric) = 0.25302715360898956046407154962072
memory used=3.8MB, alloc=3.0MB, time=0.43
absolute error = 1.175065136893403e-17
relative error = 4.6440278054475781994350000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 2.004
Order of pole = 4.437
x[1] = -1.987
y[1] (analytic) = 0.25328190022212822649480645463595
y[1] (numeric) = 0.25328190022212823925048138610104
absolute error = 1.275567493146509e-17
relative error = 5.0361573094162524385299999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 2.003
Order of pole = 4.437
x[1] = -1.986
y[1] (analytic) = 0.25353703174562528190148717216711
y[1] (numeric) = 0.25353703174562529566623959426294
absolute error = 1.376475242209583e-17
relative error = 5.4290895208973106398510000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 2.002
Order of pole = 4.437
x[1] = -1.985
y[1] (analytic) = 0.25379254895531373073524209017452
y[1] (numeric) = 0.25379254895531374551314433648693
absolute error = 1.477790224631241e-17
relative error = 5.8228274656378562004660000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 2.001
Order of pole = 4.437
x[1] = -1.984
y[1] (analytic) = 0.25404845262898230476312903349553
y[1] (numeric) = 0.25404845262898232055827193599212
absolute error = 1.579514290249659e-17
relative error = 6.2173741815952519863629999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 2
Order of pole = 4.437
x[1] = -1.983
y[1] (analytic) = 0.25430474354638137065170676628631
y[1] (numeric) = 0.25430474354638138746819974872805
absolute error = 1.681649298244174e-17
relative error = 6.6127327189925829784600000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.999
Order of pole = 4.437
x[1] = -1.982
y[1] (analytic) = 0.25456142248922886981092450344613
y[1] (numeric) = 0.25456142248922888765289567531806
absolute error = 1.784197117187193e-17
relative error = 7.0089061403743799417249999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.998
Order of pole = 4.437
x[1] = -1.981
y[1] (analytic) = 0.25481849024121627923214015424673
y[1] (numeric) = 0.25481849024121629810373640521101
absolute error = 1.887159625096428e-17
relative error = 7.4058975206626683789360000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.997
Order of pole = 4.437
x[1] = -1.98
y[1] (analytic) = 0.25507594758801459340511340549092
y[1] (numeric) = 0.25507594758801461331050050036524
absolute error = 1.990538709487432e-17
relative error = 7.8037099472132379002319999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.996
Order of pole = 4.437
x[1] = -1.979
y[1] (analytic) = 0.25533379531728032739920570762953
y[1] (numeric) = 0.25533379531728034834256838189426
absolute error = 2.094336267426473e-17
relative error = 8.2023465198722707690659999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.995
Order of pole = 4.437
x[1] = -1.978
y[1] (analytic) = 0.25559203421866154119440713510723
y[1] (numeric) = 0.25559203421866156317994919094435
absolute error = 2.198554205583712e-17
relative error = 8.6018103510331894443199999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.994
Order of pole = 4.437
x[1] = -1.977
y[1] (analytic) = 0.2558506650838038853481999626458
y[1] (numeric) = 0.25585066508380390838014436551297
absolute error = 2.303194440286717e-17
relative error = 9.0021045656938419960100000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.993
Order of pole = 4.437
x[1] = -1.976
y[1] (analytic) = 0.25610968870635666808466064313753
y[1] (numeric) = 0.25610968870635669216724961888046
absolute error = 2.408258897574293e-17
relative error = 9.4032323015139402390609999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.992
Order of pole = 4.437
x[1] = -1.975
y[1] (analytic) = 0.25636910588197894389259570130538
y[1] (numeric) = 0.25636910588197896903009083381186
absolute error = 2.513749513250648e-17
relative error = 9.8051967088728221056480000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.991
Order of pole = 4.437
x[1] = -1.974
y[1] (analytic) = 0.2566289174083456237199028813525
y[1] (numeric) = 0.2566289174083456499165852107513
absolute error = 2.619668232939880e-17
relative error = 1.0208000950927472778760000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.99
Order of pole = 4.437
x[1] = -1.973
y[1] (analytic) = 0.25688912408515360685174671759922
y[1] (numeric) = 0.25688912408515363411191683900726
absolute error = 2.726017012140804e-17
relative error = 1.0611648203670871954920000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.989
Order of pole = 4.437
x[1] = -1.972
y[1] (analytic) = 0.25714972671412793456053754578872
y[1] (numeric) = 0.25714972671412796288851570860979
absolute error = 2.832797816282107e-17
relative error = 1.1016141655990613469995000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.988
Order of pole = 4.437
x[1] = -1.971
y[1] (analytic) = 0.25741072609902796561610485059624
y[1] (numeric) = 0.25741072609902799501623105837465
absolute error = 2.940012620777841e-17
relative error = 1.1421484509727829386122000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.987
Order of pole = 4.437
x[1] = -1.97
y[1] (analytic) = 0.25767212304565357374485976323539
y[1] (numeric) = 0.25767212304565360422149387406799
absolute error = 3.047663411083260e-17
relative error = 1.1827679979736434817260000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.986
Order of pole = 4.437
x[1] = -1.969
y[1] (analytic) = 0.2579339183618513671271474933208
y[1] (numeric) = 0.25793391836185139868466932083065
absolute error = 3.155752182750985e-17
relative error = 1.2234731293942624307570000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.985
Order of pole = 4.437
x[1] = -1.968
y[1] (analytic) = 0.25819611285752093002239851279039
y[1] (numeric) = 0.25819611285752096266520792766566
absolute error = 3.264280941487527e-17
relative error = 1.2642641693404729259175000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.984
Order of pole = 4.437
x[1] = -1.967
y[1] (analytic) = 0.25845870734462108661209741825597
y[1] (numeric) = 0.25845870734462112034461445035742
absolute error = 3.373251703210145e-17
relative error = 1.3051414432373339918050000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.983
Order of pole = 4.437
x[1] = -1.966
y[1] (analytic) = 0.25872170263717618715100059324886
y[1] (numeric) = 0.25872170263717622197766553428939
absolute error = 3.482666494104053e-17
relative error = 1.3461052778351739181321000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=7.6MB, alloc=4.1MB, time=0.98
Real estimate of pole used
Radius of convergence = 1.982
Order of pole = 4.437
x[1] = -1.965
y[1] (analytic) = 0.25898509955128241651744808514187
y[1] (numeric) = 0.25898509955128245244272159194168
absolute error = 3.592527350679981e-17
relative error = 1.3871560012156660316706000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.981
Order of pole = 4.437
x[1] = -1.964
y[1] (analytic) = 0.25924889890511412525403151481465
y[1] (numeric) = 0.25924889890511416228239471313551
absolute error = 3.702836319832086e-17
relative error = 1.4282939427979345831542000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.98
Order of pole = 4.437
x[1] = -1.963
y[1] (analytic) = 0.25951310151893018319029836221282
y[1] (numeric) = 0.25951310151893022132625295117497
absolute error = 3.813595458896215e-17
relative error = 1.4695194333446907994550000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.979
Order of pole = 4.437
x[1] = -1.962
y[1] (analytic) = 0.25977770821508035573959362973104
y[1] (numeric) = 0.25977770821508039498766198681633
absolute error = 3.924806835708529e-17
relative error = 1.5108328049684018416405000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.978
Order of pole = 4.437
x[1] = -1.961
y[1] (analytic) = 0.26004271981801170296256268979868
y[1] (numeric) = 0.2600427198180117433272879764435
absolute error = 4.036472528664482e-17
relative error = 1.5522343911374896149604000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.977
Order of pole = 4.437
x[1] = -1.96
y[1] (analytic) = 0.26030813715427500149026408520822
y[1] (numeric) = 0.26030813715427504297621035298987
absolute error = 4.148594626778165e-17
relative error = 1.5937245266825625442165000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.976
Order of pole = 4.437
x[1] = -1.959
y[1] (analytic) = 0.26057396105253118940026818272072
y[1] (numeric) = 0.26057396105253123201202048014084
absolute error = 4.261175229742012e-17
relative error = 1.6353035478026784096184000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.975
Order of pole = 4.437
x[1] = -1.958
y[1] (analytic) = 0.26084019234355783413954689450188
y[1] (numeric) = 0.26084019234355787788171137437065
absolute error = 4.374216447986877e-17
relative error = 1.6769717920716409501905000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.974
Order of pole = 4.437
x[1] = -1.957
y[1] (analytic) = 0.26110683186025562358839119025549
y[1] (numeric) = 0.2611068318602556684655952176802
absolute error = 4.487720402742471e-17
relative error = 1.7187295984443252559350000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.973
Order of pole = 4.437
x[1] = -1.956
y[1] (analytic) = 0.26137388043765488036002683787004
y[1] (numeric) = 0.26137388043765492637691909885181
absolute error = 4.601689226098177e-17
relative error = 1.7605773072630381016849000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.972
Order of pole = 4.437
x[1] = -1.955
y[1] (analytic) = 0.26164133891292209943103474439996
y[1] (numeric) = 0.26164133891292214659228535504236
absolute error = 4.716125061064240e-17
relative error = 1.8025152602639112950240000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.971
Order of pole = 4.437
x[1] = -1.954
y[1] (analytic) = 0.26190920812536650919812043475881
y[1] (numeric) = 0.26190920812536655750842105109207
absolute error = 4.831030061633326e-17
relative error = 1.8445438005833249767142000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.97
Order of pole = 4.437
x[1] = -1.953
y[1] (analytic) = 0.26217748891644665605721761518113
y[1] (numeric) = 0.26217748891644670552128154360581
absolute error = 4.946406392842468e-17
relative error = 1.8866632727643669870280000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.969
Order of pole = 4.437
x[1] = -1.952
y[1] (analytic) = 0.26244618212977701260135343496124
y[1] (numeric) = 0.26244618212977706322391574331514
absolute error = 5.062256230835390e-17
relative error = 1.9288740227633240693950000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.968
Order of pole = 4.437
x[1] = -1.951
y[1] (analytic) = 0.26271528861113460953414799592896
y[1] (numeric) = 0.26271528861113466131996562518104
absolute error = 5.178581762925208e-17
relative error = 1.9711763979562037581616000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.967
Order of pole = 4.437
x[1] = -1.95
y[1] (analytic) = 0.2629848092084656913962678773786
y[1] (numeric) = 0.26298480920846574435011975395391
absolute error = 5.295385187657531e-17
relative error = 2.0135707471452949285031000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.966
Order of pole = 4.437
x[1] = -1.949
y[1] (analytic) = 0.26325474477189239620260295761441
y[1] (numeric) = 0.26325474477189245032929010635384
absolute error = 5.412668714873943e-17
relative error = 2.0560574205657589627686000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.965
Order of pole = 4.437
x[1] = -1.948
y[1] (analytic) = 0.26352509615371945908838763487544
y[1] (numeric) = 0.26352509615371951439273329263419
absolute error = 5.530434565775875e-17
relative error = 2.0986367698922541741875000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.964
Order of pole = 4.437
x[1] = -1.947
y[1] (analytic) = 0.26379586420844094006294169320013
y[1] (numeric) = 0.26379586420844099654979142308887
absolute error = 5.648684972988874e-17
relative error = 2.1413091482455953447940000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.963
Order of pole = 4.437
x[1] = -1.946
y[1] (analytic) = 0.26406704979274697597016253590982
y[1] (numeric) = 0.26406704979274703364438434218251
absolute error = 5.767422180627269e-17
relative error = 2.1840749101994475639673000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.962
Order of pole = 4.437
x[1] = -1.945
y[1] (analytic) = 0.26433865376553055675535933403577
y[1] (numeric) = 0.26433865376553061562184377762816
absolute error = 5.886648444359239e-17
relative error = 2.2269344117870554477214000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.961
Order of pole = 4.437
x[1] = -1.944
y[1] (analytic) = 0.26461067698789432613848082247349
y[1] (numeric) = 0.26461067698789438620214113719625
absolute error = 6.006366031472276e-17
relative error = 2.2698880105080042705812000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.96
Order of pole = 4.437
x[1] = -1.943
y[1] (analytic) = 0.26488312032315740679425203628899
y[1] (numeric) = 0.26488312032315746806002424567957
absolute error = 6.126577220939058e-17
relative error = 2.3129360653350178714500000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=11.4MB, alloc=4.3MB, time=1.54
Real estimate of pole used
Radius of convergence = 1.959
Order of pole = 4.437
x[1] = -1.942
y[1] (analytic) = 0.26515598463686225014020122687674
y[1] (numeric) = 0.26515598463686231261304426171407
absolute error = 6.247284303483733e-17
relative error = 2.3560789367207928705545000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.958
Order of pole = 4.437
x[1] = -1.941
y[1] (analytic) = 0.26542927079678151083402654611223
y[1] (numeric) = 0.26542927079678157451892236259825
absolute error = 6.368489581648602e-17
relative error = 2.3993169866048638360164000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.957
Order of pole = 4.437
x[1] = -1.94
y[1] (analytic) = 0.26570297967292494608222284987171
y[1] (numeric) = 0.265702979672925010984176548484
absolute error = 6.490195369861229e-17
relative error = 2.4426505784205091325629000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.956
Order of pole = 4.437
x[1] = -1.939
y[1] (analytic) = 0.26597711213754633986236216401106
y[1] (numeric) = 0.26597711213754640598640210903064
absolute error = 6.612403994501958e-17
relative error = 2.4860800771016890535676000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.955
Order of pole = 4.437
x[1] = -1.938
y[1] (analytic) = 0.26625166906515045216189698989176
y[1] (numeric) = 0.26625166906515051951307492961022
absolute error = 6.735117793971846e-17
relative error = 2.5296058490900187939870000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.954
Order of pole = 4.437
x[1] = -1.937
y[1] (analytic) = 0.2665266513324999933368337166875
y[1] (numeric) = 0.26652665133250006192022490429782
absolute error = 6.858339118761032e-17
relative error = 2.5732282623417829233040000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.953
Order of pole = 4.437
x[1] = -1.936
y[1] (analytic) = 0.26680205981862262369410396796027
y[1] (numeric) = 0.26680205981862269351480728313536
absolute error = 6.982070331517509e-17
relative error = 2.6169476863349780930373000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.951
Order of pole = 4.437
x[1] = -1.935
y[1] (analytic) = 0.26707789540481797840194475440318
y[1] (numeric) = 0.26707789540481804946508282556661
absolute error = 7.106313807116343e-17
relative error = 2.6607644920763996485518000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.95
Order of pole = 4.437
x[1] = -1.934
y[1] (analytic) = 0.26735415897466471783308384734398
y[1] (numeric) = 0.26735415897466479014380317463711
absolute error = 7.231071932729313e-17
relative error = 2.7046790521087614984741000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.949
Order of pole = 4.437
x[1] = -1.933
y[1] (analytic) = 0.26763085141402760344601484280702
y[1] (numeric) = 0.26763085141402767700948592175681
absolute error = 7.356347107894979e-17
relative error = 2.7486917405178510083710000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.948
Order of pole = 4.437
x[1] = -1.932
y[1] (analytic) = 0.26790797361106459931013696795151
y[1] (numeric) = 0.26790797361106467413155441384349
absolute error = 7.482141744589198e-17
relative error = 2.7928029329397255184750000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.947
Order of pole = 4.437
x[1] = -1.931
y[1] (analytic) = 0.26818552645623399938102780493901
y[1] (numeric) = 0.2681855264562340754656104778997
absolute error = 7.608458267296069e-17
relative error = 2.8370130065679424836578000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.946
Order of pole = 4.437
x[1] = -1.93
y[1] (analytic) = 0.26846351084230158063261278621902
y[1] (numeric) = 0.26846351084230165798560391701225
absolute error = 7.735299113079323e-17
relative error = 2.8813223401608283322023000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.945
Order of pole = 4.437
x[1] = -1.929
y[1] (analytic) = 0.26874192766434778215349356443706
y[1] (numeric) = 0.26874192766434786078016088097865
absolute error = 7.862666731654159e-17
relative error = 2.9257313140487855113678000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.944
Order of pole = 4.437
x[1] = -1.928
y[1] (analytic) = 0.26902077781977491031519819433254
y[1] (numeric) = 0.26902077781977499022083404892779
absolute error = 7.990563585459525e-17
relative error = 2.9702403101416364437125000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.943
Order of pole = 4.437
x[1] = -1.927
y[1] (analytic) = 0.2693000622083143701206194978631
y[1] (numeric) = 0.26930006220831445131054099517163
absolute error = 8.118992149730853e-17
relative error = 3.0148497119360068370490000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.942
Order of pole = 4.437
x[1] = -1.926
y[1] (analytic) = 0.26957978173203392284141403222071
y[1] (numeric) = 0.26957978173203400532096315795315
absolute error = 8.247954912573244e-17
relative error = 3.0595599045227459433388000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.941
Order of pole = 4.437
x[1] = -1.925
y[1] (analytic) = 0.26985993729534497005364275833557
y[1] (numeric) = 0.2698599372953450538281865086867
absolute error = 8.377454375035113e-17
relative error = 3.1043712745943865645738000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.94
Order of pole = 4.437
x[1] = -1.924
y[1] (analytic) = 0.27014052980500986418144582993519
y[1] (numeric) = 0.27014052980500994925637634175813
absolute error = 8.507493051182294e-17
relative error = 3.1492842104526438736438000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.939
Order of pole = 4.437
x[1] = -1.923
y[1] (analytic) = 0.27042156017014924565905790536868
y[1] (numeric) = 0.27042156017014933203979258709473
absolute error = 8.638073468172605e-17
relative error = 3.1942991020159521207650000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.938
Order of pole = 4.437
x[1] = -1.922
y[1] (analytic) = 0.27070302930224940682198704144599
y[1] (numeric) = 0.2707030293022494945139687047548
absolute error = 8.769198166330881e-17
relative error = 3.2394163408270412538885000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.937
Order of pole = 4.437
x[1] = -1.921
y[1] (analytic) = 0.27098493811516968263869957580018
y[1] (numeric) = 0.27098493811516977164739656804497
absolute error = 8.900869699224479e-17
relative error = 3.2846363200605539833918000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.936
Order of pole = 4.437
x[1] = -1.92
y[1] (analytic) = 0.27126728752514986839467545717354
y[1] (numeric) = 0.27126728752514995872558179456605
absolute error = 9.033090633739251e-17
relative error = 3.3299594345307008625651000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.935
Order of pole = 4.437
memory used=15.2MB, alloc=4.3MB, time=2.11
x[1] = -1.919
y[1] (analytic) = 0.2715500784508176644412232570694
y[1] (numeric) = 0.27155007845081775609985875862933
absolute error = 9.165863550155993e-17
relative error = 3.3753860806989553894066000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.934
Order of pole = 4.437
x[1] = -1.918
y[1] (analytic) = 0.27183331181319614812197160701058
y[1] (numeric) = 0.27183331181319624111388202928439
absolute error = 9.299191042227381e-17
relative error = 3.4209166566817922169225000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.933
Order of pole = 4.437
x[1] = -1.917
y[1] (analytic) = 0.27211698853571127299048406891091
y[1] (numeric) = 0.27211698853571136732124124146467
absolute error = 9.433075717255376e-17
relative error = 3.4665515622584608708640000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.932
Order of pole = 4.437
x[1] = -1.916
y[1] (analytic) = 0.27240110954419939543297747760386
y[1] (numeric) = 0.27240110954419949110817943929513
absolute error = 9.567520196169127e-17
relative error = 3.5122911988788046857239000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.931
Order of pole = 4.437
x[1] = -1.915
y[1] (analytic) = 0.27268567576691482881065961028854
y[1] (numeric) = 0.27268567576691492583593074632206
absolute error = 9.702527113603352e-17
relative error = 3.5581359696711166141552000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.93
Order of pole = 4.437
x[1] = -1.914
y[1] (analytic) = 0.27297068813453742523674065355188
y[1] (numeric) = 0.27297068813453752361773183332411
absolute error = 9.838099117977223e-17
relative error = 3.6040862794500404806531000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.929
Order of pole = 4.437
x[1] = -1.913
y[1] (analytic) = 0.27325614758018018510371437081406
y[1] (numeric) = 0.2732561475801802848461030865514
absolute error = 9.974238871573734e-17
relative error = 3.6501425347245089734380000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.928
Order of pole = 4.437
x[1] = -1.912
y[1] (analytic) = 0.27354205503939689447704913772706
y[1] (numeric) = 0.27354205503939699558653964392285
absolute error = 1.0110949050619579e-16
relative error = 3.6963051437057272831355000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.927
Order of pole = 4.437
x[1] = -1.911
y[1] (analytic) = 0.27382841145018979047197612654378
y[1] (numeric) = 0.27382841145018989295429958019901
absolute error = 1.0248232345365523e-16
relative error = 3.7425745163151951485205999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.926
Order of pole = 4.437
x[1] = -1.91
y[1] (analytic) = 0.27411521775301725473061189917713
y[1] (numeric) = 0.27411521775301735859152650084998
absolute error = 1.0386091460167285e-16
relative error = 3.7889510641927732575785000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.925
Order of pole = 4.437
x[1] = -1.909
y[1] (analytic) = 0.27440247489080153511720552910011
y[1] (numeric) = 0.27440247489080164036249666476937
absolute error = 1.0524529113566926e-16
relative error = 3.8354352007047904217132000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.924
Order of pole = 4.437
x[1] = -1.908
y[1] (analytic) = 0.27469018380893649574985613101623
y[1] (numeric) = 0.27469018380893660238533651476379
absolute error = 1.0663548038374756e-16
relative error = 3.8820273409521956101540000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.923
Order of pole = 4.437
x[1] = -1.907
y[1] (analytic) = 0.2749783454552953954876053510786
y[1] (numeric) = 0.27497834545529550351911516859607
absolute error = 1.0803150981751747e-16
relative error = 3.9287279017787490727550000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.922
Order of pole = 4.437
x[1] = -1.906
y[1] (analytic) = 0.27526696078023869499237097618198
y[1] (numeric) = 0.27526696078023880442577802910672
absolute error = 1.0943340705292474e-16
relative error = 3.9755373017792595368737999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.921
Order of pole = 4.437
x[1] = -1.905
y[1] (analytic) = 0.27555603073662189248575237543076
y[1] (numeric) = 0.27555603073662200332695222651657
absolute error = 1.1084119985108581e-16
relative error = 4.0224559613078653272106000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.92
Order of pole = 4.437
x[1] = -1.904
y[1] (analytic) = 0.27584555627980338832130600733694
y[1] (numeric) = 0.27584555627980350057622212646452
absolute error = 1.1225491611912758e-16
relative error = 4.0694843024863532818486000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.919
Order of pole = 4.437
x[1] = -1.903
y[1] (analytic) = 0.27613553836765237849345972977376
y[1] (numeric) = 0.27613553836765249216804364080648
absolute error = 1.1367458391103272e-16
relative error = 4.1166227492125300253520000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.918
Order of pole = 4.437
x[1] = -1.902
y[1] (analytic) = 0.27642597796055677720480815346065
y[1] (numeric) = 0.27642597796055689230503958195076
absolute error = 1.1510023142849011e-16
relative error = 4.1638717271686296438654999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.917
Order of pole = 4.437
x[1] = -1.901
y[1] (analytic) = 0.27671687602143116861410780114683
y[1] (numeric) = 0.27671687602143128514599482289763
absolute error = 1.1653188702175080e-16
relative error = 4.2112316638297708454159999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.916
Order of pole = 4.437
x[1] = -1.9
y[1] (analytic) = 0.27700823351572478788787039117164
y[1] (numeric) = 0.27700823351572490585744958166092
absolute error = 1.1796957919048928e-16
relative error = 4.2587029884724549128928000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.915
Order of pole = 4.437
x[1] = -1.899
y[1] (analytic) = 0.27730005141142953167903517329312
y[1] (numeric) = 0.2773000514114296510923717579634
absolute error = 1.1941333658467028e-16
relative error = 4.3062861321831113307656000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.914
Order of pole = 4.437
x[1] = -1.898
y[1] (analytic) = 0.27759233067908799815678692429086
y[1] (numeric) = 0.27759233067908811901997492971184
absolute error = 1.2086318800542098e-16
relative error = 4.3539815278666856545689999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.913
Order of pole = 4.437
x[1] = -1.897
y[1] (analytic) = 0.27788507229180155671217497867232
y[1] (numeric) = 0.27788507229180167903133738458119
absolute error = 1.2231916240590887e-16
relative error = 4.4017896102552771867070000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.912
Order of pole = 4.437
x[1] = -1.896
y[1] (analytic) = 0.27817827722523844746478054376621
y[1] (numeric) = 0.27817827722523857124606943599121
absolute error = 1.2378128889222500e-16
relative error = 4.4497108159168159782499999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=19.0MB, alloc=4.3MB, time=2.67
Real estimate of pole used
Radius of convergence = 1.911
Order of pole = 4.437
x[1] = -1.895
y[1] (analytic) = 0.2784719464576419106962745466059
y[1] (numeric) = 0.27847194645764203594587127087891
absolute error = 1.2524959672427301e-16
relative error = 4.4977455832637921000826000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.91
Order of pole = 4.437
x[1] = -1.894
y[1] (analytic) = 0.27876608096983834633730640044134
y[1] (numeric) = 0.27876608096983847306142171710498
absolute error = 1.2672411531666364e-16
relative error = 4.5458943525620252596268000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.909
Order of pole = 4.437
x[1] = -1.893
y[1] (analytic) = 0.27906068174524550363476537973182
y[1] (numeric) = 0.27906068174524563183963961934686
absolute error = 1.2820487423961504e-16
relative error = 4.5941575659394851508800000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.908
Order of pole = 4.437
x[1] = -1.892
y[1] (analytic) = 0.27935574976988070112706077244658
y[1] (numeric) = 0.27935574976988083081896399230534
absolute error = 1.2969190321985876e-16
relative error = 4.6425356673951570811540000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.907
Order of pole = 4.437
x[1] = -1.891
y[1] (analytic) = 0.27965128603236907705567465593104
y[1] (numeric) = 0.27965128603236920824090679748249
absolute error = 1.3118523214155145e-16
relative error = 4.6910291028079528212890000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.906
Order of pole = 4.437
x[1] = -1.89
y[1] (analytic) = 0.27994729152395187034185203609864
y[1] (numeric) = 0.27994729152395200302674308329108
absolute error = 1.3268489104719244e-16
relative error = 4.7396383199456716211644000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.905
Order of pole = 4.437
x[1] = -1.889
y[1] (analytic) = 0.28024376723849473225790721801452
y[1] (numeric) = 0.28024376723849486644881735656158
absolute error = 1.3419091013854706e-16
relative error = 4.7883637684740052223332000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.904
Order of pole = 4.437
x[1] = -1.888
y[1] (analytic) = 0.28054071417249606892324265789883
y[1] (numeric) = 0.28054071417249620462656243547481
absolute error = 1.3570331977757598e-16
relative error = 4.8372058999655957162910000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.903
Order of pole = 4.437
x[1] = -1.887
y[1] (analytic) = 0.28083813332509541475579720116716
y[1] (numeric) = 0.28083813332509555197794768853742
absolute error = 1.3722215048737026e-16
relative error = 4.8861651679091340070020000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.902
Order of pole = 4.437
x[1] = -1.886
y[1] (analytic) = 0.28113602569808183701026455743426
y[1] (numeric) = 0.28113602569808197575769751052684
absolute error = 1.3874743295309258e-16
relative error = 4.9352420277185144778226000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.901
Order of pole = 4.437
x[1] = -1.885
y[1] (analytic) = 0.28143439229590237153505012065092
y[1] (numeric) = 0.28143439229590251181424814357524
absolute error = 1.4027919802292432e-16
relative error = 4.9844369367420328985632000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.9
Order of pole = 4.437
x[1] = -1.884
y[1] (analytic) = 0.2817332341256704898805648300571
y[1] (numeric) = 0.28173323412567063169804153907583
absolute error = 1.4181747670901873e-16
relative error = 5.0337503542716349432961000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.899
Order of pole = 4.437
x[1] = -1.883
y[1] (analytic) = 0.28203255219717459789208870487832
y[1] (numeric) = 0.28203255219717474125438889333851
absolute error = 1.4336230018846019e-16
relative error = 5.0831827415522141108109999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.898
Order of pole = 4.437
x[1] = -1.882
y[1] (analytic) = 0.28233234752288656592107399224998
y[1] (numeric) = 0.28233234752288671083477379647959
absolute error = 1.4491369980422961e-16
relative error = 5.1327345617909596139924999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.897
Order of pole = 4.437
x[1] = -1.881
y[1] (analytic) = 0.28263262111797029078939856343491
y[1] (numeric) = 0.28263262111797043726110562961084
absolute error = 1.4647170706617593e-16
relative error = 5.1824062801667516084066000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.896
Order of pole = 4.437
x[1] = -1.88
y[1] (analytic) = 0.28293337400029028964172429783717
y[1] (numeric) = 0.28293337400029043767807794983105
absolute error = 1.4803635365199388e-16
relative error = 5.2321983638396082146588000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.895
Order of pole = 4.437
x[1] = -1.879
y[1] (analytic) = 0.28323460719042032582176272757193
y[1] (numeric) = 0.28323460719042047542943413577995
absolute error = 1.4960767140820802e-16
relative error = 5.2821112819601838014883999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.894
Order of pole = 4.437
x[1] = -1.878
y[1] (analytic) = 0.28353632171165206690890119751565
y[1] (numeric) = 0.2835363217116522180945935486787
absolute error = 1.5118569235116305e-16
relative error = 5.3321455056793169359925000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.893
Order of pole = 4.437
x[1] = -1.877
y[1] (analytic) = 0.28383851859000377505229724705021
y[1] (numeric) = 0.2838385185900039278227459150706
absolute error = 1.5277044866802039e-16
relative error = 5.3823015081576267662070000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.892
Order of pole = 4.437
x[1] = -1.876
y[1] (analytic) = 0.28414119885422902974020686047559
y[1] (numeric) = 0.28414119885422918410217957823688
absolute error = 1.5436197271776129e-16
relative error = 5.4325797645751657551633000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.891
Order of pole = 4.437
x[1] = -1.875
y[1] (analytic) = 0.28444436353582548314297368377637
y[1] (numeric) = 0.2844443635358256391032707159726
absolute error = 1.5596029703219623e-16
relative error = 5.4829807521411190328998000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.89
Order of pole = 4.437
x[1] = -1.874
y[1] (analytic) = 0.2847480136690436481687712866937
y[1] (numeric) = 0.28474801366904380573422560367456
absolute error = 1.5756545431698086e-16
relative error = 5.5335049501035579167421999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.889
Order of pole = 4.437
x[1] = -1.873
y[1] (analytic) = 0.28505215029089571937185908161898
y[1] (numeric) = 0.28505215029089587854933653425748
absolute error = 1.5917747745263850e-16
relative error = 5.5841528397592470100500000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.888
Order of pole = 4.437
memory used=22.8MB, alloc=4.4MB, time=3.24
x[1] = -1.872
y[1] (analytic) = 0.28535677444116442685378461556022
y[1] (numeric) = 0.28535677444116458765018411114929
absolute error = 1.6079639949558907e-16
relative error = 5.6349249044634990307195000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.887
Order of pole = 4.437
x[1] = -1.871
y[1] (analytic) = 0.28566188716241192329864064934375
y[1] (numeric) = 0.28566188716241208572089432852854
absolute error = 1.6242225367918479e-16
relative error = 5.6858216296400880163518000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.886
Order of pole = 4.437
x[1] = -1.87
y[1] (analytic) = 0.28596748949998870428416475044618
y[1] (numeric) = 0.28596748949998886833923816519858
absolute error = 1.6405507341475240e-16
relative error = 5.7368435027912108231240000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.885
Order of pole = 4.437
x[1] = -1.869
y[1] (analytic) = 0.28627358250204256201115207367995
y[1] (numeric) = 0.28627358250204272770604436632212
absolute error = 1.6569489229264217e-16
relative error = 5.7879910135075050784154000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.884
Order of pole = 4.437
x[1] = -1.868
y[1] (analytic) = 0.28658016721952757259433860879658
y[1] (numeric) = 0.2865801672195277399360826920802
absolute error = 1.6734174408328362e-16
relative error = 5.8392646534781194571850000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.883
Order of pole = 4.437
x[1] = -1.867
y[1] (analytic) = 0.28688724470621311705860245747614
y[1] (numeric) = 0.28688724470621328605426519572418
absolute error = 1.6899566273824804e-16
relative error = 5.8906649165008381054760000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.882
Order of pole = 4.437
x[1] = -1.866
y[1] (analytic) = 0.28719481601869293618502468583041
y[1] (numeric) = 0.28719481601869310684170707714828
absolute error = 1.7065668239131787e-16
relative error = 5.9421922984922599667159000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.881
Order of pole = 4.437
x[1] = -1.865
y[1] (analytic) = 0.28750288221639421935204900429127
y[1] (numeric) = 0.28750288221639439167688636385419
absolute error = 1.7232483735956292e-16
relative error = 5.9938472974980309697992000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.88
Order of pole = 4.437
x[1] = -1.864
y[1] (analytic) = 0.28781144436158672751768097655574
y[1] (numeric) = 0.28781144436158690151784312097936
absolute error = 1.7400016214442362e-16
relative error = 6.0456304137031343441914000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.879
Order of pole = 4.437
x[1] = -1.863
y[1] (analytic) = 0.28812050351939195048937267522769
y[1] (numeric) = 0.28812050351939212617206410802882
absolute error = 1.7568269143280113e-16
relative error = 6.0975421494422317797009999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.878
Order of pole = 4.437
x[1] = -1.862
y[1] (analytic) = 0.28843006075779229862894770618783
y[1] (numeric) = 0.28843006075779247600140780434248
absolute error = 1.7737246009815465e-16
relative error = 6.1495830092100658850925000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.877
Order of pole = 4.437
x[1] = -1.861
y[1] (analytic) = 0.28874011714764032914063433893816
y[1] (numeric) = 0.28874011714764050821013754054379
absolute error = 1.7906950320160563e-16
relative error = 6.2017534996719121370286000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.876
Order of pole = 4.437
x[1] = -1.86
y[1] (analytic) = 0.28905067376266800709099112874577
y[1] (numeric) = 0.28905067376266818786484712179504
absolute error = 1.8077385599304927e-16
relative error = 6.2540541296740924754127000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.875
Order of pole = 4.437
x[1] = -1.859
y[1] (analytic) = 0.28936173167949600131022992104476
y[1] (numeric) = 0.28936173167949618379578383331789
absolute error = 1.8248555391227313e-16
relative error = 6.3064854102545428905066000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.874
Order of pole = 4.437
x[1] = -1.858
y[1] (analytic) = 0.2896732919776430153251655120772
y[1] (numeric) = 0.28967329197764319952979810216018
absolute error = 1.8420463259008298e-16
relative error = 6.3590478546534381065170000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.873
Order of pole = 4.437
x[1] = -1.857
y[1] (analytic) = 0.28998535573953515347474952514898
y[1] (numeric) = 0.28998535573953533940587737458491
absolute error = 1.8593112784943593e-16
relative error = 6.4117419783238733280850000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.872
Order of pole = 4.437
x[1] = -1.856
y[1] (analytic) = 0.29029792405051532235987827227449
y[1] (numeric) = 0.29029792405051551002495397885544
absolute error = 1.8766507570658095e-16
relative error = 6.4645682989426054196014999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.871
Order of pole = 4.437
x[1] = -1.855
y[1] (analytic) = 0.2906109979988526677799005296676
y[1] (numeric) = 0.29061099799885285718641290187431
absolute error = 1.8940651237220671e-16
relative error = 6.5175273364208496648446000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.87
Order of pole = 4.437
x[1] = -1.854
y[1] (analytic) = 0.29092457867575204730899128593609
y[1] (numeric) = 0.29092457867575223846446553853297
absolute error = 1.9115547425259688e-16
relative error = 6.5706196129151354977096000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.869
Order of pole = 4.437
x[1] = -1.853
y[1] (analytic) = 0.29123866717536353866630164753714
y[1] (numeric) = 0.29123866717536373157829959833011
absolute error = 1.9291199795079297e-16
relative error = 6.6238456528382224972170000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.868
Order of pole = 4.437
x[1] = -1.852
y[1] (analytic) = 0.29155326459479198403454323078919
y[1] (numeric) = 0.29155326459479217871066349855385
absolute error = 1.9467612026776466e-16
relative error = 6.6772059828700734615730000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.867
Order of pole = 4.437
x[1] = -1.851
y[1] (analytic) = 0.29186837203410657048241755740029
y[1] (numeric) = 0.29186837203410676693029576098803
absolute error = 1.9644787820358774e-16
relative error = 6.7307011319688872196348000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.866
Order of pole = 4.437
x[1] = -1.85
y[1] (analytic) = 0.29218399059635044664705722511111
y[1] (numeric) = 0.29218399059635064487436618374081
absolute error = 1.9822730895862970e-16
relative error = 6.7843316313821910687970000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.865
Order of pole = 4.437
x[1] = -1.849
y[1] (analytic) = 0.29250012138755037583340597086348
y[1] (numeric) = 0.29250012138755057584785590560654
absolute error = 2.0001444993474306e-16
relative error = 6.8380980146579944301412000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=26.7MB, alloc=4.4MB, time=3.81
Real estimate of pole used
Radius of convergence = 1.864
Order of pole = 4.437
x[1] = -1.848
y[1] (analytic) = 0.29281676551672642568822920525138
y[1] (numeric) = 0.2928167655167266274975679417178
absolute error = 2.0180933873646642e-16
relative error = 6.8920008176560015327409999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.863
Order of pole = 4.437
x[1] = -1.847
y[1] (analytic) = 0.2931339240959016946072151984077
y[1] (numeric) = 0.29313392409590189821922837064104
absolute error = 2.0361201317223334e-16
relative error = 6.9460405785588853840939999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.862
Order of pole = 4.437
x[1] = -1.846
y[1] (analytic) = 0.2934515982401120750343998636037
y[1] (numeric) = 0.29345159824011228045691111919278
absolute error = 2.0542251125558908e-16
relative error = 7.0002178378836225293035999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.861
Order of pole = 4.437
x[1] = -1.845
y[1] (analytic) = 0.29376978906741605381392504052554
y[1] (numeric) = 0.29376978906741626105479624694084
absolute error = 2.0724087120641530e-16
relative error = 7.0545331384928904799780000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.86
Order of pole = 4.437
x[1] = -1.844
y[1] (analytic) = 0.29408849769890454975492135044262
y[1] (numeric) = 0.29408849769890475882205280260528
absolute error = 2.0906713145216266e-16
relative error = 7.1089870256065242281641999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.859
Order of pole = 4.437
x[1] = -1.843
y[1] (analytic) = 0.29440772525871078857109210545685
y[1] (numeric) = 0.29440772525871099947242273454844
absolute error = 2.1090133062909159e-16
relative error = 7.1635800468130394917349999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.858
Order of pole = 4.437
x[1] = -1.842
y[1] (analytic) = 0.29472747287402021535736442904657
y[1] (numeric) = 0.29472747287402042810087201256759
absolute error = 2.1274350758352102e-16
relative error = 7.2183127520812139762430000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.857
Order of pole = 4.437
x[1] = -1.841
y[1] (analytic) = 0.29504774167508044476676771068327
y[1] (numeric) = 0.29504774167508065936046908376859
absolute error = 2.1459370137308532e-16
relative error = 7.2731856937717335954023999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.856
Order of pole = 4.437
x[1] = -1.84
y[1] (analytic) = 0.29536853279521124905149779906138
y[1] (numeric) = 0.29536853279521146550344906706088
absolute error = 2.1645195126799950e-16
relative error = 7.3281994266489037519949999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.855
Order of pole = 4.437
x[1] = -1.839
y[1] (analytic) = 0.29568984737081458413292796226524
y[1] (numeric) = 0.29568984737081480245122471459782
absolute error = 2.1831829675233258e-16
relative error = 7.3833545078924210361876000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.854
Order of pole = 4.437
x[1] = -1.838
y[1] (analytic) = 0.29601168654138465386613463499539
y[1] (numeric) = 0.2960116865413848740589121602847
absolute error = 2.2019277752528931e-16
relative error = 7.4386514971092098506095000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.853
Order of pole = 4.437
x[1] = -1.837
y[1] (analytic) = 0.2963340514495180126653173589524
y[1] (numeric) = 0.29633405144951823474075086145278
absolute error = 2.2207543350250038e-16
relative error = 7.4940909563453270733660000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.852
Order of pole = 4.437
x[1] = -1.836
y[1] (analytic) = 0.29665694324092370665730812896389
y[1] (numeric) = 0.2966569432409239306236129462848
absolute error = 2.2396630481732091e-16
relative error = 7.5496734500979260355627000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.851
Order of pole = 4.437
x[1] = -1.835
y[1] (analytic) = 0.29698036306443345353118561094503
y[1] (numeric) = 0.2969803630644336793966174330826
absolute error = 2.2586543182213757e-16
relative error = 7.6053995453272900128082000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.85
Order of pole = 4.437
x[1] = -1.834
y[1] (analytic) = 0.29730431207201186125283442498522
y[1] (numeric) = 0.29730431207201208902568951466942
absolute error = 2.2777285508968420e-16
relative error = 7.6612698114689291869939999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.849
Order of pole = 4.437
x[1] = -1.833
y[1] (analytic) = 0.29762879141876668581411891460732
y[1] (numeric) = 0.29762879141876691550273432897344
absolute error = 2.2968861541436612e-16
relative error = 7.7172848204457458292680000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.848
Order of pole = 4.437
x[1] = -1.832
y[1] (analytic) = 0.29795380226295912818717457858159
y[1] (numeric) = 0.2979538022629593597999283921746
absolute error = 2.3161275381359301e-16
relative error = 7.7734451466802619998725000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.847
Order of pole = 4.437
x[1] = -1.831
y[1] (analytic) = 0.29827934576601417065515865180122
y[1] (numeric) = 0.2982793457660144042004701809219
absolute error = 2.3354531152912068e-16
relative error = 7.8297513671069188518216000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.846
Order of pole = 4.437
x[1] = -1.83
y[1] (analytic) = 0.29860542309253095269164421402723
y[1] (numeric) = 0.29860542309253118817797424242878
absolute error = 2.3548633002840155e-16
relative error = 7.8862040611844397919655000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.845
Order of pole = 4.437
x[1] = -1.829
y[1] (analytic) = 0.29893203541029318656168970735152
y[1] (numeric) = 0.29893203541029342399754071329557
absolute error = 2.3743585100594405e-16
relative error = 7.9428038109082628571009999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.844
Order of pole = 4.437
x[1] = -1.828
y[1] (analytic) = 0.29925918389027961281846788275624
y[1] (numeric) = 0.29925918389027985221238426743717
absolute error = 2.3939391638468093e-16
relative error = 7.9995512008230402547404999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.843
Order of pole = 4.437
x[1] = -1.827
y[1] (analytic) = 0.29958686970667449587019500109349
y[1] (numeric) = 0.2995868697066747372307633184401
absolute error = 2.4136056831734661e-16
relative error = 8.0564468180352076991730000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.842
Order of pole = 4.437
x[1] = -1.826
y[1] (analytic) = 0.29991509403687815979296261228446
y[1] (numeric) = 0.29991509403687840312881180014799
absolute error = 2.4333584918786353e-16
relative error = 8.1134912522256204721781000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.841
Order of pole = 4.437
memory used=30.5MB, alloc=4.4MB, time=4.38
x[1] = -1.825
y[1] (analytic) = 0.30024385806151756456594045683904
y[1] (numeric) = 0.30024385806151780988574206957676
absolute error = 2.4531980161273772e-16
relative error = 8.1706850956622618141272000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.84
Order of pole = 4.437
x[1] = -1.824
y[1] (analytic) = 0.30057316296445692290629000440941
y[1] (numeric) = 0.30057316296445717021875844687287
absolute error = 2.4731246844246346e-16
relative error = 8.2280289432130175476042000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.839
Order of pole = 4.437
x[1] = -1.823
y[1] (analytic) = 0.30090300993280835788200389368495
y[1] (numeric) = 0.30090300993280860719589665662227
absolute error = 2.4931389276293732e-16
relative error = 8.2855233923585248367560000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.838
Order of pole = 4.437
x[1] = -1.822
y[1] (analytic) = 0.301233400156942601481767095372
y[1] (numeric) = 0.30123340015694285280588499225339
absolute error = 2.5132411789688139e-16
relative error = 8.3431690432050869716215000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.837
Order of pole = 4.437
x[1] = -1.821
y[1] (analytic) = 0.30156433483049973432182101432973
y[1] (numeric) = 0.30156433483049998766500841960575
absolute error = 2.5334318740527602e-16
relative error = 8.4009664984976630391284000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.836
Order of pole = 4.437
x[1] = -1.82
y[1] (analytic) = 0.30189581515039996667070200739584
y[1] (numeric) = 0.30189581515040022204184709619778
absolute error = 2.5537114508880194e-16
relative error = 8.4589163636329263485794000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.835
Order of pole = 4.437
x[1] = -1.819
y[1] (analytic) = 0.3022278423168544609736209494669
y[1] (numeric) = 0.30222784231685471838165593875889
absolute error = 2.5740803498929199e-16
relative error = 8.5170192466723974341638000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.834
Order of pole = 4.437
x[1] = -1.818
y[1] (analytic) = 0.30256041753337619605915056162778
y[1] (numeric) = 0.30256041753337645551305195282013
absolute error = 2.5945390139119235e-16
relative error = 8.5752757583556461579374999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.833
Order of pole = 4.437
x[1] = -1.817
y[1] (analytic) = 0.30289354200679087321179225137741
y[1] (numeric) = 0.30289354200679113472058107441093
absolute error = 2.6150878882303352e-16
relative error = 8.6336865121135693594480000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.832
Order of pole = 4.437
x[1] = -1.816
y[1] (analytic) = 0.30322721694724786429490423629648
y[1] (numeric) = 0.30322721694724812786764629520744
absolute error = 2.6357274205891096e-16
relative error = 8.6922521240817392181272000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.831
Order of pole = 4.437
x[1] = -1.815
y[1] (analytic) = 0.30356144356823120210938775906692
y[1] (numeric) = 0.30356144356823146775519387904253
absolute error = 2.6564580611997561e-16
relative error = 8.7509732131138277382786000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.83
Order of pole = 4.437
x[1] = -1.814
y[1] (analytic) = 0.30389622308657061317444828400439
y[1] (numeric) = 0.3038962230865708809024745599386
absolute error = 2.6772802627593421e-16
relative error = 8.8098504007951028362337000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.829
Order of pole = 4.437
x[1] = -1.813
y[1] (analytic) = 0.30423155672245259311767372382468
y[1] (numeric) = 0.30423155672245286293712177038431
absolute error = 2.6981944804655963e-16
relative error = 8.8688843114560010702109999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.828
Order of pole = 4.437
x[1] = -1.812
y[1] (analytic) = 0.30456744569943152486260201105884
y[1] (numeric) = 0.30456744569943179678271921427004
absolute error = 2.7192011720321120e-16
relative error = 8.9280755721857747746400000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.827
Order of pole = 4.437
x[1] = -1.811
y[1] (analytic) = 0.30490389124444083980288573238829
y[1] (numeric) = 0.30490389124444111383296550275334
absolute error = 2.7403007977036505e-16
relative error = 8.9874248128462120251610000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.825
Order of pole = 4.437
x[1] = -1.81
y[1] (analytic) = 0.30524089458780422215310211742556
y[1] (numeric) = 0.30524089458780449830248414458032
absolute error = 2.7614938202715476e-16
relative error = 9.0469326660854373639076000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.824
Order of pole = 4.437
x[1] = -1.809
y[1] (analytic) = 0.30557845696324685666720244756121
y[1] (numeric) = 0.30557845696324713494527295648333
absolute error = 2.7827807050892212e-16
relative error = 9.1065997673517847710184000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.823
Order of pole = 4.437
x[1] = -1.808
y[1] (analytic) = 0.30591657960790671991654595708296
y[1] (numeric) = 0.30591657960790700033273796586121
absolute error = 2.8041619200877825e-16
relative error = 9.1664267549077491418625000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.822
Order of pole = 4.437
x[1] = -1.807
y[1] (analytic) = 0.30625526376234591532041956971135
y[1] (numeric) = 0.30625526376234619788421314888644
absolute error = 2.8256379357917509e-16
relative error = 9.2264142698440146262250000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.821
Order of pole = 4.437
x[1] = -1.806
y[1] (analytic) = 0.30659451067056205212290638105957
y[1] (numeric) = 0.30659451067056233684382891454692
absolute error = 2.8472092253348735e-16
relative error = 9.2865629560935607979195000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.82
Order of pole = 4.437
x[1] = -1.805
y[1] (analytic) = 0.30693432157999966851093269360036
y[1] (numeric) = 0.30693432157999995539855914120536
absolute error = 2.8688762644760500e-16
relative error = 9.3468734604458472772999999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.819
Order of pole = 4.437
x[1] = -1.804
y[1] (analytic) = 0.30727469774156169906929566801058
y[1] (numeric) = 0.30727469774156198813324882954697
absolute error = 2.8906395316153639e-16
relative error = 9.4073464325610777373463000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.818
Order of pole = 4.437
x[1] = -1.803
y[1] (analytic) = 0.3076156404096209867694513059822
y[1] (numeric) = 0.30761564040962127801940208700416
absolute error = 2.9124995078102196e-16
relative error = 9.4679825249845399778760000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.817
Order of pole = 4.437
x[1] = -1.802
y[1] (analytic) = 0.30795715084203183968982555767191
y[1] (numeric) = 0.30795715084203213313549323683075
absolute error = 2.9344566767915884e-16
relative error = 9.5287823931610298104219999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=34.3MB, alloc=4.4MB, time=4.96
Real estimate of pole used
Radius of convergence = 1.816
Order of pole = 4.437
x[1] = -1.801
y[1] (analytic) = 0.30829923030014163266639988506605
y[1] (numeric) = 0.30829923030014192831755238310229
absolute error = 2.9565115249803624e-16
relative error = 9.5897466954493534413647999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.815
Order of pole = 4.437
x[1] = -1.8
y[1] (analytic) = 0.30864188004880245407331664403807
y[1] (numeric) = 0.30864188004880275193977079441976
absolute error = 2.9786645415038169e-16
relative error = 9.6508760931369082598169000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.814
Order of pole = 4.437
x[1] = -1.799
y[1] (analytic) = 0.30898510135638279793424920637177
y[1] (numeric) = 0.30898510135638309802587102759015
absolute error = 3.0009162182121838e-16
relative error = 9.7121712504543480746875999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.813
Order of pole = 4.437
x[1] = -1.798
y[1] (analytic) = 0.30932889549477930156628686233781
y[1] (numeric) = 0.30932889549477960389299183187136
absolute error = 3.0232670496953355e-16
relative error = 9.7736328345903290810775000000002e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.812
Order of pole = 4.437
x[1] = -1.797
y[1] (analytic) = 0.30967326373942852895909525859266
y[1] (numeric) = 0.30967326373942883353084858855063
absolute error = 3.0457175332995797e-16
relative error = 9.8352615157063357630370000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.811
Order of pole = 4.437
x[1] = -1.796
y[1] (analytic) = 0.31001820736931880009312946949374
y[1] (numeric) = 0.31001820736931910691994638395053
absolute error = 3.0682681691445679e-16
relative error = 9.8970579669515936758943000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.81
Order of pole = 4.437
x[1] = -1.795
y[1] (analytic) = 0.31036372766700206640169880689976
y[1] (numeric) = 0.3103637276670023754936448209313
absolute error = 3.0909194601403154e-16
relative error = 9.9590228644780598670003999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.809
Order of pole = 4.437
x[1] = -1.794
y[1] (analytic) = 0.31070982591860583258271017888497
y[1] (numeric) = 0.31070982591860614394990137931869
absolute error = 3.1136719120043372e-16
relative error = 1.0021156887455503004956400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.808
Order of pole = 4.437
x[1] = -1.793
y[1] (analytic) = 0.31105650341384512496695024651228
y[1] (numeric) = 0.31105650341384543861955357440199
absolute error = 3.1365260332788971e-16
relative error = 1.0083460718086662341935000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.807
Order of pole = 4.437
x[1] = -1.792
y[1] (analytic) = 0.31140376144603450665080583508368
y[1] (numeric) = 0.31140376144603482259903936992102
absolute error = 3.1594823353483734e-16
relative error = 1.0145935041622494306351000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.806
Order of pole = 4.437
x[1] = -1.791
y[1] (analytic) = 0.31175160131210013960236706755844
y[1] (numeric) = 0.31175160131210045785650031323253
absolute error = 3.1825413324567409e-16
relative error = 1.0208580546377503563593800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.805
Order of pole = 4.437
x[1] = -1.79
y[1] (analytic) = 0.31210002431259189395090853877578
y[1] (numeric) = 0.31210002431259221452126271129282
absolute error = 3.2057035417251704e-16
relative error = 1.0271397923745160203810400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.804
Order of pole = 4.437
x[1] = -1.789
y[1] (analytic) = 0.3124490317516955046708005756561
y[1] (numeric) = 0.31244903175169582756774889263074
absolute error = 3.2289694831697464e-16
relative error = 1.0334387868213403087620800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.803
Order of pole = 4.437
x[1] = -1.788
y[1] (analytic) = 0.31279862493724477587196526684069
y[1] (numeric) = 0.31279862493724510110593323877103
absolute error = 3.2523396797193034e-16
relative error = 1.0397551077380228408113000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.802
Order of pole = 4.437
x[1] = -1.787
y[1] (analytic) = 0.31314880518073383291006053166404
y[1] (numeric) = 0.31314880518073416049152625500233
absolute error = 3.2758146572333829e-16
relative error = 1.0460888251969367951373000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.801
Order of pole = 4.437
x[1] = -1.786
y[1] (analytic) = 0.31349957379732942253065006958123
y[1] (numeric) = 0.31349957379732975247014452161231
absolute error = 3.2993949445203108e-16
relative error = 1.0524400095846053828907600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.8
Order of pole = 4.437
x[1] = -1.785
y[1] (analytic) = 0.31385093210588326126269762408567
y[1] (numeric) = 0.31385093210588359357080495962534
absolute error = 3.3230810733553967e-16
relative error = 1.0588087316032872205854200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.799
Order of pole = 4.437
x[1] = -1.784
y[1] (analytic) = 0.31420288142894443227781064689032
y[1] (numeric) = 0.31420288142894476696516849681585
absolute error = 3.3468735784992553e-16
relative error = 1.0651950622725704375332100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.798
Order of pole = 4.437
x[1] = -1.783
y[1] (analytic) = 0.314555423092771830932751196097
y[1] (numeric) = 0.31455542309277216801005096772224
absolute error = 3.3707729977162524e-16
relative error = 1.0715990729309760842316000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.797
Order of pole = 4.437
x[1] = -1.782
y[1] (analytic) = 0.31490855842734665921383078388613
y[1] (numeric) = 0.31490855842734699869181796319354
absolute error = 3.3947798717930741e-16
relative error = 1.0780208352375701631402500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.796
Order of pole = 4.437
x[1] = -1.781
y[1] (analytic) = 0.3152622887663849693029109428171
y[1] (numeric) = 0.31526228876638531119238539855928
absolute error = 3.4188947445574218e-16
relative error = 1.0844604211735848767571600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.795
Order of pole = 4.437
x[1] = -1.78
y[1] (analytic) = 0.31561661544735025648584254328919
y[1] (numeric) = 0.31561661544735060079765883297256
absolute error = 3.4431181628968337e-16
relative error = 1.0909179030440490791913700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.794
Order of pole = 4.437
x[1] = -1.779
y[1] (analytic) = 0.31597153981146610162529440648222
y[1] (numeric) = 0.31597153981146644837036208424553
absolute error = 3.4674506767776331e-16
relative error = 1.0973933534794277895470200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.793
Order of pole = 4.437
x[1] = -1.778
y[1] (analytic) = 0.31632706320372886342104555584201
y[1] (numeric) = 0.31632706320372921261032948224246
absolute error = 3.4918928392640045e-16
relative error = 1.1038868454372708465782500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=38.1MB, alloc=4.4MB, time=5.53
Real estimate of pole used
Radius of convergence = 1.792
Order of pole = 4.437
x[1] = -1.777
y[1] (analytic) = 0.31668318697292042068194557482749
y[1] (numeric) = 0.31668318697292077232646622854746
absolute error = 3.5164452065371997e-16
relative error = 1.1103984522038711608681000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.791
Order of pole = 4.437
x[1] = -1.776
y[1] (analytic) = 0.31703991247162096483488402838522
y[1] (numeric) = 0.31703991247162131894571781987251
absolute error = 3.5411083379148729e-16
relative error = 1.1169282473959320059103300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.79
Order of pole = 4.437
x[1] = -1.775
y[1] (analytic) = 0.31739724105622184289725279991976
y[1] (numeric) = 0.31739724105622219948553238697446
absolute error = 3.5658827958705470e-16
relative error = 1.1234763049622438012422000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.789
Order of pole = 4.437
x[1] = -1.774
y[1] (analytic) = 0.31775517408693845114053453410895
y[1] (numeric) = 0.31775517408693881021744913943014
absolute error = 3.5907691460532119e-16
relative error = 1.1300426991853703946616300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.788
Order of pole = 4.437
x[1] = -1.773
y[1] (analytic) = 0.31811371292782317967380619876381
y[1] (numeric) = 0.31811371292782354125060192946938
absolute error = 3.6157679573070557e-16
relative error = 1.1366275046833448804621000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.787
Order of pole = 4.437
x[1] = -1.772
y[1] (analytic) = 0.31847285894677840817710912631748
y[1] (numeric) = 0.31847285894677877226508929545044
absolute error = 3.6408798016913296e-16
relative error = 1.1432307964113749574056000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.786
Order of pole = 4.437
x[1] = -1.771
y[1] (analytic) = 0.31883261351556955301580580798242
y[1] (numeric) = 0.31883261351556991962633125801715
absolute error = 3.6661052545003473e-16
relative error = 1.1498526496635578286306600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.785
Order of pole = 4.437
x[1] = -1.77
y[1] (analytic) = 0.31919297800983816596821923195147
y[1] (numeric) = 0.31919297800983853511270866031356
absolute error = 3.6914448942836209e-16
relative error = 1.1564931400746050201230900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.784
Order of pole = 4.437
x[1] = -1.769
y[1] (analytic) = 0.31955395380911508480003272232487
y[1] (numeric) = 0.31955395380911545648996300893817
absolute error = 3.7168993028661330e-16
relative error = 1.1631523436215767697146000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.783
Order of pole = 4.437
x[1] = -1.768
y[1] (analytic) = 0.31991554229683363592011708908848
y[1] (numeric) = 0.31991554229683401016702362596317
absolute error = 3.7424690653687469e-16
relative error = 1.1698303366256263278692500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.782
Order of pole = 4.437
x[1] = -1.767
y[1] (analytic) = 0.32027774486034288935364748309734
y[1] (numeric) = 0.32027774486034326616912450597289
absolute error = 3.7681547702287555e-16
relative error = 1.1765271957537541010095000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.781
Order of pole = 4.437
x[1] = -1.766
y[1] (analytic) = 0.32064056289092096626957470556379
y[1] (numeric) = 0.32064056289092134566527562762079
absolute error = 3.7939570092205700e-16
relative error = 1.1832429980205717231490000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.78
Order of pole = 4.437
x[1] = -1.765
y[1] (analytic) = 0.3210039977837883993007248912278
y[1] (numeric) = 0.32100399778378878128836263888278
absolute error = 3.8198763774765498e-16
relative error = 1.1899778207900762327254800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.779
Order of pole = 4.437
x[1] = -1.764
y[1] (analytic) = 0.32136805093812154589601751070236
y[1] (numeric) = 0.32136805093812193048736486149973
absolute error = 3.8459134735079737e-16
relative error = 1.1967317417774341238368900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.778
Order of pole = 4.437
x[1] = -1.763
y[1] (analytic) = 0.32173272375706605494551456323174
y[1] (numeric) = 0.32173272375706644215240448584719
absolute error = 3.8720688992261545e-16
relative error = 1.2035048390507756632265000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.777
Order of pole = 4.437
x[1] = -1.762
y[1] (analytic) = 0.32209801764775038692024369936015
y[1] (numeric) = 0.32209801764775077675456969572994
absolute error = 3.8983432599636979e-16
relative error = 1.2102971910329994866745500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.776
Order of pole = 4.437
x[1] = -1.761
y[1] (analytic) = 0.32246393402129938776997486716098
y[1] (numeric) = 0.32246393402129978024369131675156
absolute error = 3.9247371644959058e-16
relative error = 1.2171088765035872386307600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.775
Order of pole = 4.437
x[1] = -1.76
y[1] (analytic) = 0.32283047429284791682337395939632
y[1] (numeric) = 0.32283047429284831194849646562893
absolute error = 3.9512512250623261e-16
relative error = 1.2239399746004286389686100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.774
Order of pole = 4.437
x[1] = -1.759
y[1] (analytic) = 0.32319763988155452893620789623546
y[1] (numeric) = 0.32319763988155492672481363508045
absolute error = 3.9778860573884499e-16
relative error = 1.2307905648216569843491800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.773
Order of pole = 4.437
x[1] = -1.758
y[1] (analytic) = 0.32356543221061521113453365323169
y[1] (numeric) = 0.32356543221061561159876172398736
absolute error = 4.0046422807075567e-16
relative error = 1.2376607270274949972535500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.772
Order of pole = 4.437
x[1] = -1.757
y[1] (analytic) = 0.32393385270727717400106898171393
y[1] (numeric) = 0.32393385270727757715312075998485
absolute error = 4.0315205177827092e-16
relative error = 1.2445505414421112435860000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.771
Order of pole = 4.437
x[1] = -1.756
y[1] (analytic) = 0.32430290280285269805421501347316
y[1] (numeric) = 0.32430290280285310390635450636303
absolute error = 4.0585213949288987e-16
relative error = 1.2514600886554871510701900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.77
Order of pole = 4.437
x[1] = -1.755
y[1] (analytic) = 0.3246725839327330353704806387998
y[1] (numeric) = 0.324672583932733443935034842334
absolute error = 4.0856455420353420e-16
relative error = 1.2583894496252946278892000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.769
Order of pole = 4.437
memory used=41.9MB, alloc=4.4MB, time=6.11
x[1] = -1.754
y[1] (analytic) = 0.32504289753640236670234554205291
y[1] (numeric) = 0.32504289753640277799170480084603
absolute error = 4.1128935925879312e-16
relative error = 1.2653387056787844331630400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.768
Order of pole = 4.437
x[1] = -1.753
y[1] (analytic) = 0.32541384505745181434489311782259
y[1] (numeric) = 0.32541384505745222837151148700633
absolute error = 4.1402661836918374e-16
relative error = 1.2723079385146853248574000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.767
Order of pole = 4.437
x[1] = -1.752
y[1] (analytic) = 0.32578542794359351100584621950445
y[1] (numeric) = 0.32578542794359392778224182893138
absolute error = 4.1677639560942693e-16
relative error = 1.2792972302051140087696500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.766
Order of pole = 4.437
x[1] = -1.751
y[1] (analytic) = 0.32615764764667472493494785717687
y[1] (numeric) = 0.3261576476466751444737032779157
absolute error = 4.1953875542073883e-16
relative error = 1.2863066631974960942576600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.765
Order of pole = 4.437
x[1] = -1.75
y[1] (analytic) = 0.32653050562269204156994560981368
y[1] (numeric) = 0.32653050562269246388370822295173
absolute error = 4.2231376261313805e-16
relative error = 1.2933363203164978912630500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.764
Order of pole = 4.437
x[1] = -1.749
y[1] (analytic) = 0.32690400333180560195776269515352
y[1] (numeric) = 0.32690400333180602705924506292233
absolute error = 4.2510148236776881e-16
relative error = 1.3003862847659695253276200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.763
Order of pole = 4.437
x[1] = -1.748
y[1] (analytic) = 0.32727814223835339821077039638292
y[1] (numeric) = 0.32727814223835382611275063562286
absolute error = 4.2790198023923994e-16
relative error = 1.3074566401308988328697000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.762
Order of pole = 4.437
x[1] = -1.747
y[1] (analytic) = 0.32765292381086562625941592589801
y[1] (numeric) = 0.32765292381086605697473808387807
absolute error = 4.3071532215798006e-16
relative error = 1.3145474703793767229206000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.761
Order of pole = 4.437
x[1] = -1.746
y[1] (analytic) = 0.32802834952207909616380686084414
y[1] (numeric) = 0.32802834952207952970538129345307
absolute error = 4.3354157443260893e-16
relative error = 1.3216588598645736774568100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.76
Order of pole = 4.437
x[1] = -1.745
y[1] (analytic) = 0.32840442084895170024820806127764
y[1] (numeric) = 0.3284044208489521366290118136028
absolute error = 4.3638080375232516e-16
relative error = 1.3287908933267276726541600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.759
Order of pole = 4.437
x[1] = -1.744
y[1] (analytic) = 0.32878113927267693932376952836674
y[1] (numeric) = 0.32878113927267737855684671767709
absolute error = 4.3923307718931035e-16
relative error = 1.3359436558951434340079500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.758
Order of pole = 4.437
x[1] = -1.743
y[1] (analytic) = 0.32915850627869850726617402610227
y[1] (numeric) = 0.32915850627869894936463622725206
absolute error = 4.4209846220114979e-16
relative error = 1.3431172330902031195095000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.757
Order of pole = 4.437
x[1] = -1.742
y[1] (analytic) = 0.32953652335672493421627152491378
y[1] (numeric) = 0.32953652335672537919329815818371
absolute error = 4.4497702663326993e-16
relative error = 1.3503117108253887651304500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.756
Order of pole = 4.437
x[1] = -1.741
y[1] (analytic) = 0.32991519200074428867315367911525
y[1] (numeric) = 0.32991519200074473654199240050783
absolute error = 4.4786883872139258e-16
relative error = 1.3575271754093160641715600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.755
Order of pole = 4.437
x[1] = -1.74
y[1] (analytic) = 0.33029451370903893875051567230953
y[1] (numeric) = 0.33029451370903938952448276631572
absolute error = 4.5077396709400619e-16
relative error = 1.3647637135477802348501900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.754
Order of pole = 4.437
x[1] = -1.739
y[1] (analytic) = 0.33067448998420037286855490618434
y[1] (numeric) = 0.3306744899842008265610356810384
absolute error = 4.5369248077485406e-16
relative error = 1.3720214123458132096353200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.753
Order of pole = 4.437
x[1] = -1.738
y[1] (analytic) = 0.33105512233314408015506621930084
y[1] (numeric) = 0.3310551223331445367795154047407
absolute error = 4.5662444918543986e-16
relative error = 1.3793003593097529859097000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.752
Order of pole = 4.437
x[1] = -1.737
y[1] (analytic) = 0.33143641226712449083081165463
y[1] (numeric) = 0.33143641226712495040075380218046
absolute error = 4.5956994214755046e-16
relative error = 1.3866006423493248213982000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.751
Order of pole = 4.437
x[1] = -1.736
y[1] (analytic) = 0.33181836130174997685566929920294
y[1] (numeric) = 0.33181836130175043938469918499917
absolute error = 4.6252902988579623e-16
relative error = 1.3939223497797344409623100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.75
Order of pole = 4.437
x[1] = -1.735
y[1] (analytic) = 0.33220097095699791311350044813911
y[1] (numeric) = 0.33220097095699837861528347830802
absolute error = 4.6550178303016891e-16
relative error = 1.4012655703237732372736600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.749
Order of pole = 4.437
x[1] = -1.734
y[1] (analytic) = 0.33258424275722979941511735068714
y[1] (numeric) = 0.33258424275723026790338996930437
absolute error = 4.6848827261861723e-16
relative error = 1.4086303931139356866231100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.748
Order of pole = 4.437
x[1] = -1.733
y[1] (analytic) = 0.3329681782312064436001851303071
y[1] (numeric) = 0.33296817823120691508875522994752
absolute error = 4.7148857009964042e-16
relative error = 1.4160169076945490769818000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.747
Order of pole = 4.437
x[1] = -1.732
y[1] (analytic) = 0.33335277891210320602035118715258
y[1] (numeric) = 0.33335277891210368052309852205223
absolute error = 4.7450274733489965e-16
relative error = 1.4234252040239153425612500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.746
Order of pole = 4.437
x[1] = -1.731
y[1] (analytic) = 0.3337380463375253056873635428563
y[1] (numeric) = 0.33373804633752578321824014470395
absolute error = 4.7753087660184765e-16
relative error = 1.4308553724764654282493000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=45.7MB, alloc=4.4MB, time=6.68
Real estimate of pole used
Radius of convergence = 1.745
Order of pole = 4.437
x[1] = -1.73
y[1] (analytic) = 0.33412398204952318837141622793403
y[1] (numeric) = 0.33412398204952366894444682431065
absolute error = 4.8057303059637662e-16
relative error = 1.4383075038449261823746200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.744
Order of pole = 4.437
x[1] = -1.729
y[1] (analytic) = 0.33451058759460795693644499542055
y[1] (numeric) = 0.33451058759460844056572743090501
absolute error = 4.8362928243548446e-16
relative error = 1.4457816893424995350713200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.743
Order of pole = 4.437
x[1] = -1.728
y[1] (analytic) = 0.33489786452376686420059042493516
y[1] (numeric) = 0.33489786452376735090029608489481
absolute error = 4.8669970565995965e-16
relative error = 1.4532780206050546155052500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.742
Order of pole = 4.437
x[1] = -1.727
y[1] (analytic) = 0.33528581439247886861154791401931
y[1] (numeric) = 0.33528581439247935839592215110404
absolute error = 4.8978437423708473e-16
relative error = 1.4607965896933323197669000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.741
Order of pole = 4.437
x[1] = -1.726
y[1] (analytic) = 0.33567443876073025302803519345086
y[1] (numeric) = 0.33567443876073074591139775680952
absolute error = 4.9288336256335866e-16
relative error = 1.4683374890951628267568200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.74
Order of pole = 4.437
x[1] = -1.725
y[1] (analytic) = 0.33606373919303030690012790585914
y[1] (numeric) = 0.33606373919303080289687337309724
absolute error = 4.9599674546723810e-16
relative error = 1.4759008117276958385506000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.739
Order of pole = 4.437
x[1] = -1.724
y[1] (analytic) = 0.33645371725842707214274250826919
y[1] (numeric) = 0.33645371725842757126734072016705
absolute error = 4.9912459821189786e-16
relative error = 1.4834866509396439458412200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.738
Order of pole = 4.437
x[1] = -1.723
y[1] (analytic) = 0.33684437453052315299808335550892
y[1] (numeric) = 0.33684437453052365526507985351947
absolute error = 5.0226699649801055e-16
relative error = 1.4910951005135388601015000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.737
Order of pole = 4.437
x[1] = -1.722
y[1] (analytic) = 0.33723571258749159018441734942847
y[1] (numeric) = 0.33723571258749209560843381597414
absolute error = 5.0542401646654567e-16
relative error = 1.4987262546680008770659500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.736
Order of pole = 4.437
x[1] = -1.721
y[1] (analytic) = 0.33762773301209179963009505571195
y[1] (numeric) = 0.33762773301209230822582975730016
absolute error = 5.0859573470158821e-16
relative error = 1.5063802080600214270828200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.735
Order of pole = 4.437
x[1] = -1.72
y[1] (analytic) = 0.3380204373916855760933017532106
y[1] (numeric) = 0.33802043739168608787552998638758
absolute error = 5.1178222823317698e-16
relative error = 1.5140570557872590108089800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.734
Order of pole = 4.437
x[1] = -1.719
y[1] (analytic) = 0.33841382731825316196959554809842
y[1] (numeric) = 0.3384138273182536769531700882612
absolute error = 5.1498357454016278e-16
relative error = 1.5217568933903484887143600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.733
Order of pole = 4.437
x[1] = -1.718
y[1] (analytic) = 0.33880790438840938159087251505578
y[1] (numeric) = 0.33880790438840989979072406814232
absolute error = 5.1819985155308654e-16
relative error = 1.5294798168552237499735000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.732
Order of pole = 4.437
x[1] = -1.717
y[1] (analytic) = 0.3392026702034198413209908788402
y[1] (numeric) = 0.33920267020342036275212853591783
absolute error = 5.2143113765707763e-16
relative error = 1.5372259226154539902267000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.731
Order of pole = 4.437
x[1] = -1.716
y[1] (analytic) = 0.33959812636921719575488758113424
y[1] (numeric) = 0.3395981263692177204323992759067
absolute error = 5.2467751169477246e-16
relative error = 1.5449953075545935877462200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.73
Order of pole = 4.437
x[1] = -1.715
y[1] (analytic) = 0.33999427449641748032963124900977
y[1] (numeric) = 0.33999427449641800826868421826332
absolute error = 5.2793905296925355e-16
relative error = 1.5527880690085457418523000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.729
Order of pole = 4.437
x[1] = -1.714
y[1] (analytic) = 0.34039111620033651065747565267444
y[1] (numeric) = 0.34039111620033704187331689968362
absolute error = 5.3121584124700918e-16
relative error = 1.5606043047679398279764600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.728
Order of pole = 4.437
x[1] = -1.713
y[1] (analytic) = 0.34078865310100634889260727174828
y[1] (numeric) = 0.34078865310100688340056403266211
absolute error = 5.3450795676091383e-16
relative error = 1.5684441130805227153371000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.727
Order of pole = 4.437
x[1] = -1.712
y[1] (analytic) = 0.34118688682319183744491964195848
y[1] (numeric) = 0.34118688682319237526039985518801
absolute error = 5.3781548021322953e-16
relative error = 1.5763075926535640248058500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.726
Order of pole = 4.437
x[1] = -1.711
y[1] (analytic) = 0.34158581899640720035579578906666
y[1] (numeric) = 0.34158581899640774149428856769496
absolute error = 5.4113849277862830e-16
relative error = 1.5841948426562754780726000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.725
Order of pole = 4.437
x[1] = -1.71
y[1] (analytic) = 0.34198545125493271265253833571412
y[1] (numeric) = 0.34198545125493325712961444294998
absolute error = 5.4447707610723586e-16
relative error = 1.5921059627222444854618600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.724
Order of pole = 4.437
x[1] = -1.709
y[1] (analytic) = 0.34238578523783143799975485177777
y[1] (numeric) = 0.34238578523783198583106717947442
absolute error = 5.4783131232769665e-16
relative error = 1.6000410529518817071153000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.723
Order of pole = 4.437
x[1] = -1.708
y[1] (analytic) = 0.34278682258896603496768377230043
y[1] (numeric) = 0.34278682258896658616896782256099
absolute error = 5.5120128405026056e-16
relative error = 1.6080002139148833725684000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.722
Order of pole = 4.437
x[1] = -1.707
y[1] (analytic) = 0.34318856495701563223913379206205
y[1] (numeric) = 0.34318856495701618682620816195334
absolute error = 5.5458707436989129e-16
relative error = 1.6159835466527077353665000000000e-13 %
Correct digits = 14
h = 0.001
memory used=49.5MB, alloc=4.4MB, time=7.24
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.721
Order of pole = 4.437
x[1] = -1.706
y[1] (analytic) = 0.34359101399549277307840712580276
y[1] (numeric) = 0.34359101399549333106717399519937
absolute error = 5.5798876686939661e-16
relative error = 1.6239911526810660614185700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.72
Order of pole = 4.437
x[1] = -1.705
y[1] (analytic) = 0.34399417136276042938728446185208
y[1] (numeric) = 0.34399417136276099079373008443284
absolute error = 5.6140644562258076e-16
relative error = 1.6320231339924284564197600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.719
Order of pole = 4.437
x[1] = -1.704
y[1] (analytic) = 0.34439803872204908567486689876798
y[1] (numeric) = 0.344398038722049650515062096187
absolute error = 5.6484019519741902e-16
relative error = 1.6400795930585442225953400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.718
Order of pole = 4.437
x[1] = -1.703
y[1] (analytic) = 0.34480261774147389326979770430417
y[1] (numeric) = 0.34480261774147446155989836355884
absolute error = 5.6829010065925467e-16
relative error = 1.6481606328329769864807000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.717
Order of pole = 4.437
x[1] = -1.702
y[1] (analytic) = 0.34520791009405189510512443882139
y[1] (numeric) = 0.34520791009405246686137201284003
absolute error = 5.7175624757401864e-16
relative error = 1.6562663567536550664452000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.716
Order of pole = 4.437
x[1] = -1.701
y[1] (analytic) = 0.34561391745771932140780990681558
y[1] (numeric) = 0.34561391745771989664653191828732
absolute error = 5.7523872201147174e-16
relative error = 1.6643968687454363554594800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.715
Order of pole = 4.437
x[1] = -1.7
y[1] (analytic) = 0.34602064151534895662665860669252
y[1] (numeric) = 0.3460206415153495353642691551625
absolute error = 5.7873761054846998e-16
relative error = 1.6725522732226887906699800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.714
Order of pole = 4.437
x[1] = -1.699
y[1] (analytic) = 0.34642808395476757793419390688429
y[1] (numeric) = 0.34642808395476816018719417913712
absolute error = 5.8225300027225283e-16
relative error = 1.6807326750918855635836600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.713
Order of pole = 4.437
x[1] = -1.698
y[1] (analytic) = 0.34683624646877346563980015295478
y[1] (numeric) = 0.3468362464687740514247789367097
absolute error = 5.8578497878375492e-16
relative error = 1.6889381797542161041186000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.712
Order of pole = 4.437
x[1] = -1.697
y[1] (analytic) = 0.34724513075515398585323337303503
y[1] (numeric) = 0.34724513075515457518686757397607
absolute error = 5.8933363420094104e-16
relative error = 1.6971688931082120164024000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.711
Order of pole = 4.437
x[1] = -1.696
y[1] (analytic) = 0.34765473851670324573940426579317
y[1] (numeric) = 0.34765473851670383863845942795808
absolute error = 5.9289905516216491e-16
relative error = 1.7054249215523889039274700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.71
Order of pole = 4.437
x[1] = -1.695
y[1] (analytic) = 0.34806507146123982170714779469451
y[1] (numeric) = 0.34806507146124041818847862424616
absolute error = 5.9648133082955165e-16
relative error = 1.7137063719879034587929000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.709
Order of pole = 4.437
x[1] = -1.694
y[1] (analytic) = 0.34847613130162456087651504354035
y[1] (numeric) = 0.34847613130162516095706593594467
absolute error = 6.0008055089240432e-16
relative error = 1.7220133518212264556318400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.708
Order of pole = 4.437
x[1] = -1.693
y[1] (analytic) = 0.34888791975577845617095508068033
y[1] (numeric) = 0.34888791975577905986776065131497
absolute error = 6.0369680557063464e-16
relative error = 1.7303459689668315369000000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.707
Order of pole = 4.437
x[1] = -1.692
y[1] (analytic) = 0.34930043854670059538259750285116
y[1] (numeric) = 0.34930043854670120271278312106922
absolute error = 6.0733018561821806e-16
relative error = 1.7387043318498998463419000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.706
Order of pole = 4.437
x[1] = -1.691
y[1] (analytic) = 0.34971368940248618456070015478328
y[1] (numeric) = 0.34971368940248679554148248145664
absolute error = 6.1098078232667336e-16
relative error = 1.7470885494090405927995200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.705
Order of pole = 4.437
x[1] = -1.69
y[1] (analytic) = 0.3501276740563446460751913185143
y[1] (numeric) = 0.35012767405634526072387884708138
absolute error = 6.1464868752856708e-16
relative error = 1.7554987310990279657550800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.704
Order of pole = 4.437
x[1] = -1.689
y[1] (analytic) = 0.35054239424661779170911150823669
y[1] (numeric) = 0.35054239424661841004310510927952
absolute error = 6.1833399360104283e-16
relative error = 1.7639349868935541040832600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.703
Order of pole = 4.437
x[1] = -1.688
y[1] (analytic) = 0.3509578517167980711356469644778
y[1] (numeric) = 0.35095785171679869317244043385347
absolute error = 6.2203679346937567e-16
relative error = 1.7723974272879982184361500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.702
Order of pole = 4.437
x[1] = -1.687
y[1] (analytic) = 0.35137404821554689613734508796649
y[1] (numeric) = 0.35137404821554752189452569851847
absolute error = 6.2575718061055198e-16
relative error = 1.7808861633022126185206000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.701
Order of pole = 4.437
x[1] = -1.686
y[1] (analytic) = 0.3517909854967130409270114617021
y[1] (numeric) = 0.35179098549671367042226051857679
absolute error = 6.2949524905687469e-16
relative error = 1.7894013064833248231699300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.699
Order of pole = 4.437
x[1] = -1.685
y[1] (analytic) = 0.35220866531935111893170885304657
y[1] (numeric) = 0.35220866531935175218280225264088
absolute error = 6.3325109339959431e-16
relative error = 1.7979429689085565544040600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.698
Order of pole = 4.437
x[1] = -1.684
y[1] (analytic) = 0.35262708944774013640321074017484
y[1] (numeric) = 0.35262708944774077342801953274067
absolute error = 6.3702480879256583e-16
relative error = 1.8065112631880593569663100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
memory used=53.4MB, alloc=4.4MB, time=7.81
Radius of convergence = 1.697
Order of pole = 4.437
x[1] = -1.683
y[1] (analytic) = 0.35304625965140212322020554353237
y[1] (numeric) = 0.35304625965140276403669649946416
absolute error = 6.4081649095593179e-16
relative error = 1.8151063024677672358571000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.696
Order of pole = 4.437
x[1] = -1.682
y[1] (analytic) = 0.3534661777051208412495029381876
y[1] (numeric) = 0.35346617770512148587573911801923
absolute error = 6.4462623617983163e-16
relative error = 1.8237282004322661602237500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.695
Order of pole = 4.437
x[1] = -1.681
y[1] (analytic) = 0.35388684538896057063546045279114
y[1] (numeric) = 0.35388684538896121908960178092868
absolute error = 6.4845414132813754e-16
relative error = 1.8323770713076805913054800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.694
Order of pole = 4.437
x[1] = -1.68
y[1] (analytic) = 0.35430826448828497438882710146432
y[1] (numeric) = 0.35430826448828562668913094368142
absolute error = 6.5230030384221710e-16
relative error = 1.8410530298645773852571000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.693
Order of pole = 4.437
x[1] = -1.679
y[1] (analytic) = 0.35473043679377604164819112308366
y[1] (numeric) = 0.35473043679377669781301286780648
absolute error = 6.5616482174472282e-16
relative error = 1.8497561914208869079384400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.692
Order of pole = 4.437
x[1] = -1.678
y[1] (analytic) = 0.35515336410145310998922109539952
y[1] (numeric) = 0.35515336410145377003701473880834
absolute error = 6.6004779364340882e-16
relative error = 1.8584866718448415633417000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.691
Order of pole = 4.437
x[1] = -1.677
y[1] (analytic) = 0.35557704821269196715890382707577
y[1] (numeric) = 0.35557704821269263110822256205063
absolute error = 6.6394931873497486e-16
relative error = 1.8672445875579318480238000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.69
Order of pole = 4.437
x[1] = -1.676
y[1] (analytic) = 0.35600149093424403261400858746796
y[1] (numeric) = 0.35600149093424470048350539640592
absolute error = 6.6786949680893796e-16
relative error = 1.8760300555378801240669200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.689
Order of pole = 4.437
x[1] = -1.675
y[1] (analytic) = 0.35642669407825561924504549073897
y[1] (numeric) = 0.35642669407825629105347374227074
absolute error = 6.7180842825153177e-16
relative error = 1.8848431933216320737380200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.688
Order of pole = 4.437
x[1] = -1.674
y[1] (analytic) = 0.35685265946228727566903628727638
y[1] (numeric) = 0.35685265946228795143525033691041
absolute error = 6.7576621404963403e-16
relative error = 1.8936841190083663006863100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.687
Order of pole = 4.437
x[1] = -1.673
y[1] (analytic) = 0.35727938890933320947647851143115
y[1] (numeric) = 0.3572793889093338892194343061532
absolute error = 6.7974295579472205e-16
relative error = 1.9025529512625213874065000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.686
Order of pole = 4.437
x[1] = -1.672
y[1] (analytic) = 0.35770688424784079181995897102038
y[1] (numeric) = 0.35770688424784147555871465787723
absolute error = 6.8373875568685685e-16
relative error = 1.9114498093168417070072500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.685
Order of pole = 4.437
x[1] = -1.671
y[1] (analytic) = 0.35813514731173014373396002208978
y[1] (numeric) = 0.3581351473117308314876765607856
absolute error = 6.8775371653869582e-16
relative error = 1.9203748129754410938284400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.684
Order of pole = 4.437
x[1] = -1.67
y[1] (analytic) = 0.35856417994041380457750203395531
y[1] (numeric) = 0.35856417994041449636544381348959
absolute error = 6.9178794177953428e-16
relative error = 1.9293280826168849330262800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.683
Order of pole = 4.437
x[1] = -1.669
y[1] (analytic) = 0.35899398397881648299337799697153
y[1] (numeric) = 0.3589939839788171788349134563477
absolute error = 6.9584153545937617e-16
relative error = 1.9383097391972908028575400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.682
Order of pole = 4.437
x[1] = -1.668
y[1] (analytic) = 0.35942456127739489077986144183163
y[1] (numeric) = 0.35942456127739559069446369486573
absolute error = 6.9991460225303410e-16
relative error = 1.9473199042534477988725000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.681
Order of pole = 4.437
x[1] = -1.667
y[1] (analytic) = 0.35985591369215766007290680811403
y[1] (numeric) = 0.35985591369215836408015427237289
absolute error = 7.0400724746425886e-16
relative error = 1.9563586999059543034654000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.68
Order of pole = 4.437
x[1] = -1.666
y[1] (analytic) = 0.36028804308468534423901220547804
y[1] (numeric) = 0.36028804308468605235858923537686
absolute error = 7.0811957702989882e-16
relative error = 1.9654262488623748791427400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.679
Order of pole = 4.437
x[1] = -1.665
y[1] (analytic) = 0.36072095132215050288107823821002
y[1] (numeric) = 0.36072095132215121513277576229938
absolute error = 7.1225169752408936e-16
relative error = 1.9745226744204161501153600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.678
Order of pole = 4.437
x[1] = -1.664
y[1] (analytic) = 0.36115464027733787136177329817613
y[1] (numeric) = 0.36115464027733858776548946064858
absolute error = 7.1640371616247245e-16
relative error = 1.9836481004711214793876500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.677
Order of pole = 4.437
x[1] = -1.663
y[1] (analytic) = 0.36158911182866461525110555870942
y[1] (numeric) = 0.36158911182866533582684636515627
absolute error = 7.2057574080644685e-16
relative error = 1.9928026515020852149545000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.676
Order of pole = 4.437
x[1] = -1.662
y[1] (analytic) = 0.36202436786020067010710490923144
y[1] (numeric) = 0.36202436786020139487498487668045
absolute error = 7.2476787996744901e-16
relative error = 2.0019864526006861906274500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.675
Order of pole = 4.437
x[1] = -1.661
y[1] (analytic) = 0.36246041026168916700073434479119
y[1] (numeric) = 0.36246041026168989598097715605609
absolute error = 7.2898024281126490e-16
relative error = 2.0111996294573405804378000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.674
Order of pole = 4.437
x[1] = -1.66
y[1] (analytic) = 0.36289724092856694419837995413705
y[1] (numeric) = 0.36289724092856767741131911651017
absolute error = 7.3321293916237312e-16
relative error = 2.0204423083687745318451200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=57.2MB, alloc=4.4MB, time=8.38
Real estimate of pole used
Radius of convergence = 1.673
Order of pole = 4.437
x[1] = -1.659
y[1] (analytic) = 0.36333486176198514541751172299931
y[1] (numeric) = 0.36333486176198588288359123131877
absolute error = 7.3746607950831946e-16
relative error = 2.0297146162413165000077200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.672
Order of pole = 4.437
x[1] = -1.658
y[1] (analytic) = 0.36377327466882990507336397516884
y[1] (numeric) = 0.36377327466883064681313897929197
absolute error = 7.4173977500412313e-16
relative error = 2.0390166805942093400604500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.671
Order of pole = 4.437
x[1] = -1.657
y[1] (analytic) = 0.3642124815617431209367545025768
y[1] (numeric) = 0.36421248156174386697089197929185
absolute error = 7.4603413747671505e-16
relative error = 2.0483486295629426770325000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.67
Order of pole = 4.437
x[1] = -1.656
y[1] (analytic) = 0.36465248435914331462544537742808
y[1] (numeric) = 0.3646524843591440649747248068363
absolute error = 7.5034927942940822e-16
relative error = 2.0577105919026050498101400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.669
Order of pole = 4.437
x[1] = -1.655
y[1] (analytic) = 0.36509328498524658035374618568791
y[1] (numeric) = 0.36509328498524733503906023208858
absolute error = 7.5468531404640067e-16
relative error = 2.0671026969912566415474200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.668
Order of pole = 4.437
x[1] = -1.654
y[1] (analytic) = 0.36553488537008762236737206370396
y[1] (numeric) = 0.36553488537008838140972726101508
absolute error = 7.5904235519731112e-16
relative error = 2.0765250748333223852730400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.667
Order of pole = 4.437
x[1] = -1.653
y[1] (analytic) = 0.36597728744954088149289455096417
y[1] (numeric) = 0.36597728744954164491341199271169
absolute error = 7.6342051744174752e-16
relative error = 2.0859778560630053411232000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.666
Order of pole = 4.437
x[1] = -1.652
y[1] (analytic) = 0.36642049316534175123346298511783
y[1] (numeric) = 0.36642049316534251905337901902678
absolute error = 7.6781991603390895e-16
relative error = 2.0954611719477210849897500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.665
Order of pole = 4.437
x[1] = -1.651
y[1] (analytic) = 0.3668645044651078838448280542754
y[1] (numeric) = 0.36686450446510865608549498149636
absolute error = 7.7224066692722096e-16
relative error = 2.1049751543915527472099200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.664
Order of pole = 4.437
x[1] = -1.65
y[1] (analytic) = 0.36730932330236058682806728078337
y[1] (numeric) = 0.36730932330236136351095405978806
absolute error = 7.7668288677900469e-16
relative error = 2.1145199359387270475296900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.663
Order of pole = 4.437
x[1] = -1.649
y[1] (analytic) = 0.36775495163654631027779473536721
y[1] (numeric) = 0.36775495163654709142448769054725
absolute error = 7.8114669295518004e-16
relative error = 2.1240956497771114751280800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.662
Order of pole = 4.437
x[1] = -1.648
y[1] (analytic) = 0.36820139143305822552703426666249
y[1] (numeric) = 0.36820139143305901115923780166557
absolute error = 7.8563220353500308e-16
relative error = 2.1337024297417325399874000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.661
Order of pole = 4.437
x[1] = -1.647
y[1] (analytic) = 0.36864864466325789553234707532598
y[1] (numeric) = 0.36864864466325868567188439116411
absolute error = 7.9013953731583813e-16
relative error = 2.1433404103183156698193000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.66
Order of pole = 4.437
x[1] = -1.646
y[1] (analytic) = 0.36909671330449703744523066145453
y[1] (numeric) = 0.36909671330449783211404447941916
absolute error = 7.9466881381796463e-16
relative error = 2.1530097266468464774577100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.659
Order of pole = 4.437
x[1] = -1.645
y[1] (analytic) = 0.36954559934013937781824712696774
y[1] (numeric) = 0.36954559934014017703840041638685
absolute error = 7.9922015328941911e-16
relative error = 2.1627105145251536365568600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.658
Order of pole = 4.437
x[1] = -1.644
y[1] (analytic) = 0.36999530475958260089679461967628
y[1] (numeric) = 0.36999530475958340469047133054889
absolute error = 8.0379367671087261e-16
relative error = 2.1724429104125137053335700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.657
Order of pole = 4.437
x[1] = -1.643
y[1] (analytic) = 0.37044583155828039044990646242753
y[1] (numeric) = 0.37044583155828119883941226297128
absolute error = 8.0838950580054375e-16
relative error = 2.1822070514332778259375000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.656
Order of pole = 4.437
x[1] = -1.642
y[1] (analytic) = 0.3708971817377645655959483191867
y[1] (numeric) = 0.37089718173776537860371133833449
absolute error = 8.1300776301914779e-16
relative error = 2.1920030753805206012253500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.655
Order of pole = 4.437
x[1] = -1.641
y[1] (analytic) = 0.37134935730566731108158471110134
y[1] (numeric) = 0.37134935730566812873015628598327
absolute error = 8.1764857157488193e-16
relative error = 2.2018311207197112014222600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.654
Order of pole = 4.437
x[1] = -1.64
y[1] (analytic) = 0.37180236027574350247490241117549
y[1] (numeric) = 0.37180236027574432478695783962259
absolute error = 8.2231205542844710e-16
relative error = 2.2116913265924067486071000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.653
Order of pole = 4.437
x[1] = -1.639
y[1] (analytic) = 0.37225619266789312673610981855489
y[1] (numeric) = 0.37225619266789395373444911666158
absolute error = 8.2699833929810669e-16
relative error = 2.2215838328199685596941800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.652
Order of pole = 4.437
x[1] = -1.638
y[1] (analytic) = 0.37271085650818379863177844575846
y[1] (numeric) = 0.37271085650818463033932711054075
absolute error = 8.3170754866478229e-16
relative error = 2.2315087799073007992730500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.651
Order of pole = 4.437
x[1] = -1.637
y[1] (analytic) = 0.37316635382887337346115524839818
y[1] (numeric) = 0.37316635382887420990096502558506
absolute error = 8.3643980977718688e-16
relative error = 2.2414663090466120854176000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.65
Order of pole = 4.437
memory used=61.0MB, alloc=4.4MB, time=8.94
x[1] = -1.636
y[1] (analytic) = 0.37362268666843265656565279169003
y[1] (numeric) = 0.37362268666843349776090244868579
absolute error = 8.4119524965699576e-16
relative error = 2.2514565621212001806527200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.649
Order of pole = 4.437
x[1] = -1.635
y[1] (analytic) = 0.374079857071568210095218286819
y[1] (numeric) = 0.37407985707156905606921439087447
absolute error = 8.4597399610405547e-16
relative error = 2.2614796817092597878462200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.648
Order of pole = 4.437
x[1] = -1.634
y[1] (analytic) = 0.37453786708924525750789244920424
y[1] (numeric) = 0.3745378670892461082840701508353
absolute error = 8.5077617770163106e-16
relative error = 2.2715358110877137600644200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.647
Order of pole = 4.437
x[1] = -1.633
y[1] (analytic) = 0.37499671877871068628149503691843
y[1] (numeric) = 0.37499671877871154188341885861034
absolute error = 8.5560192382169191e-16
relative error = 2.2816250942360675994779000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.646
Order of pole = 4.437
x[1] = -1.632
y[1] (analytic) = 0.37545641420351614931901592873837
y[1] (numeric) = 0.37545641420351700977038055897493
absolute error = 8.6045136463023656e-16
relative error = 2.2917476758402878098180000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.645
Order of pole = 4.437
x[1] = -1.631
y[1] (analytic) = 0.37591695543354126553194880612534
y[1] (numeric) = 0.37591695543354213085657989878205
absolute error = 8.6532463109265671e-16
relative error = 2.3019037012967038589870200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.644
Order of pole = 4.437
x[1] = -1.63
y[1] (analytic) = 0.37637834454501692008847902123564
y[1] (numeric) = 0.37637834454501779031033400037652
absolute error = 8.7022185497914088e-16
relative error = 2.3120933167159343832128800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.643
Order of pole = 4.437
x[1] = -1.629
y[1] (analytic) = 0.37684058362054866481612817403403
y[1] (numeric) = 0.37684058362054953995929704415184
absolute error = 8.7514316887011781e-16
relative error = 2.3223166689268371655640200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.642
Order of pole = 4.437
x[1] = -1.628
y[1] (analytic) = 0.37730367474914021925116539672538
y[1] (numeric) = 0.37730367474914109933987155846555
absolute error = 8.8008870616174017e-16
relative error = 2.3325739054804837204654500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.641
Order of pole = 4.437
x[1] = -1.627
y[1] (analytic) = 0.37776762002621707282981946485439
y[1] (numeric) = 0.37776762002621795788842053626304
absolute error = 8.8505860107140865e-16
relative error = 2.3428651746541579796745000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.64
Order of pole = 4.437
x[1] = -1.626
y[1] (analytic) = 0.37823242155365018871906673419376
y[1] (numeric) = 0.37823242155365107877205537753081
absolute error = 8.9005298864333705e-16
relative error = 2.3531906254553800297428500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.639
Order of pole = 4.437
x[1] = -1.625
y[1] (analytic) = 0.3786980814397798097875276544274
y[1] (numeric) = 0.37869808143978070485953240858579
absolute error = 8.9507200475415839e-16
relative error = 2.3635504076259542527521400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.638
Order of pole = 4.437
x[1] = -1.624
y[1] (analytic) = 0.37916460179943936721977934895163
y[1] (numeric) = 0.37916460179944026733556546752423
absolute error = 9.0011578611857260e-16
relative error = 2.3739446716460426480702000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.637
Order of pole = 4.437
x[1] = -1.623
y[1] (analytic) = 0.37963198475397949228018359002783
y[1] (numeric) = 0.3796319847539803974646538850638
absolute error = 9.0518447029503597e-16
relative error = 2.3843735687382630996561000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.636
Order of pole = 4.437
x[1] = -1.622
y[1] (analytic) = 0.38010023243129213173513855603723
y[1] (numeric) = 0.38010023243129304201333424753007
absolute error = 9.1027819569149284e-16
relative error = 2.3948372508718131403634000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.635
Order of pole = 4.437
x[1] = -1.621
y[1] (analytic) = 0.38056934696583476744548914958735
y[1] (numeric) = 0.38056934696583568284259072073709
absolute error = 9.1539710157114974e-16
relative error = 2.4053358707666190451130800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.634
Order of pole = 4.437
x[1] = -1.62
y[1] (analytic) = 0.38103933049865474064367449943816
y[1] (numeric) = 0.38103933049865566118500255773051
absolute error = 9.2054132805829235e-16
relative error = 2.4158695818975105016323500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.633
Order of pole = 4.437
x[1] = -1.619
y[1] (analytic) = 0.38151018517741368141305268426751
y[1] (numeric) = 0.38151018517741460712406882841324
absolute error = 9.2571101614414573e-16
relative error = 2.4264385384984213099382600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.632
Order of pole = 4.437
x[1] = -1.618
y[1] (analytic) = 0.38198191315641204388972182167174
y[1] (numeric) = 0.38198191315641297479602951444974
absolute error = 9.3090630769277800e-16
relative error = 2.4370428955666158456500000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.631
Order of pole = 4.437
x[1] = -1.617
y[1] (analytic) = 0.38245451659661374771005358187778
y[1] (numeric) = 0.38245451659661468383739902892571
absolute error = 9.3612734544704793e-16
relative error = 2.4476828088669417520917000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.63
Order of pole = 4.437
x[1] = -1.616
y[1] (analytic) = 0.38292799766567092623007003370149
y[1] (numeric) = 0.38292799766567186760434306829833
absolute error = 9.4137427303459684e-16
relative error = 2.4583584349361091599958800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.629
Order of pole = 4.437
x[1] = -1.615
y[1] (analytic) = 0.3834023585379487820457276324981
y[1] (numeric) = 0.38340235853794972869296260638305
absolute error = 9.4664723497388495e-16
relative error = 2.4690699310869960475987000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.628
Order of pole = 4.437
x[1] = -1.614
y[1] (analytic) = 0.3838776013945505503461232392974
y[1] (numeric) = 0.38387760139455150229249991957023
absolute error = 9.5194637668027283e-16
relative error = 2.4798174554129806813315100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.627
Order of pole = 4.437
x[1] = -1.613
y[1] (analytic) = 0.38435372842334257063460644099978
y[1] (numeric) = 0.38435372842334352790645091314788
absolute error = 9.5727184447214810e-16
relative error = 2.4906011667923007621370000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=64.8MB, alloc=4.4MB, time=9.51
Real estimate of pole used
Radius of convergence = 1.626
Order of pole = 4.437
x[1] = -1.612
y[1] (analytic) = 0.38483074181897946735577024835052
y[1] (numeric) = 0.38483074181898042997955582544831
absolute error = 9.6262378557709779e-16
relative error = 2.5014212248924395767155500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.625
Order of pole = 4.437
x[1] = -1.611
y[1] (analytic) = 0.38530864378292943996929860726338
y[1] (numeric) = 0.3853086437829304079716467453902
absolute error = 9.6800234813812682e-16
relative error = 2.5122777901745395747360400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.624
Order of pole = 4.437
x[1] = -1.61
y[1] (analytic) = 0.38578743652349966301467419672304
y[1] (numeric) = 0.38578743652350063642235541664592
absolute error = 9.7340768121992288e-16
relative error = 2.5231710238978433171708800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.623
Order of pole = 4.437
x[1] = -1.609
y[1] (analytic) = 0.38626712225586179671379383069603
y[1] (numeric) = 0.38626712225586277555372864586407
absolute error = 9.7883993481516804e-16
relative error = 2.5341010881241618657312800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.622
Order of pole = 4.437
x[1] = -1.608
y[1] (analytic) = 0.38674770320207760866160156091373
y[1] (numeric) = 0.38674770320207859296086141181142
absolute error = 9.8429925985089769e-16
relative error = 2.5450681457223713756138500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.621
Order of pole = 4.437
x[1] = -1.607
y[1] (analytic) = 0.38722918159112470715793142171194
y[1] (numeric) = 0.38722918159112569694373961661884
absolute error = 9.8978580819490690e-16
relative error = 2.5560723603729373239050000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.62
Order of pole = 4.437
x[1] = -1.606
y[1] (analytic) = 0.38771155965892238673685279793986
y[1] (numeric) = 0.38771155965892338203658546014468
absolute error = 9.9529973266220482e-16
relative error = 2.5671138965724671733223400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.619
Order of pole = 4.437
x[1] = -1.605
y[1] (analytic) = 0.38819483964835758645293176388748
y[1] (numeric) = 0.38819483964835858729411878540485
absolute error = 1.00084118702151737e-15
relative error = 2.5781929196382913045716200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.618
Order of pole = 4.437
x[1] = -1.604
y[1] (analytic) = 0.3886790238093109614869615678068
y[1] (numeric) = 0.38867902380931196789728756964548
absolute error = 1.00641032600183868e-15
relative error = 2.5893095957130725871615600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.617
Order of pole = 4.437
x[1] = -1.603
y[1] (analytic) = 0.38916411439868306863687485649573
y[1] (numeric) = 0.38916411439868408064418015552736
absolute error = 1.01200730529903163e-15
relative error = 2.6004640917694446667643000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.616
Order of pole = 4.437
x[1] = -1.602
y[1] (analytic) = 0.3896501136804206662627293821513
y[1] (numeric) = 0.38965011368042168389501096462928
absolute error = 1.01763228158247798e-15
relative error = 2.6116565756146794002619000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.615
Order of pole = 4.437
x[1] = -1.601
y[1] (analytic) = 0.3901370239255431292578579448674
y[1] (numeric) = 0.39013702392554415254327044664576
absolute error = 1.02328541250177836e-15
relative error = 2.6228872158953832959087200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.614
Order of pole = 4.437
x[1] = -1.6
y[1] (analytic) = 0.39062484741216897962149233535456
y[1] (numeric) = 0.39062484741217000858834902885719
absolute error = 1.02896685669350263e-15
relative error = 2.6341561821022234263026300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.613
Order of pole = 4.437
x[1] = -1.599
y[1] (analytic) = 0.39111358642554253321141019132494
y[1] (numeric) = 0.3911135864255435678881839793159
absolute error = 1.03467677378799096e-15
relative error = 2.6454636445746828625099200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.612
Order of pole = 4.437
x[1] = -1.598
y[1] (analytic) = 0.39160324325806066325841310617735
y[1] (numeric) = 0.39160324325806170367373752238343
absolute error = 1.04041532441620608e-15
relative error = 2.6568097745058459269184000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.611
Order of pole = 4.437
x[1] = -1.597
y[1] (analytic) = 0.39209382020929968122772416983936
y[1] (numeric) = 0.39209382020930072741039438647652
absolute error = 1.04618267021663716e-15
relative error = 2.6681947439472135792356000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.61
Order of pole = 4.437
x[1] = -1.596
y[1] (analytic) = 0.39258531958604233561569351963339
y[1] (numeric) = 0.39258531958604338759466736188895
absolute error = 1.05197897384225556e-15
relative error = 2.6796187258135486807765200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.609
Order of pole = 4.437
x[1] = -1.595
y[1] (analytic) = 0.39307774370230492927352157564427
y[1] (numeric) = 0.3930777437023059870779205431674
absolute error = 1.05780439896752313e-15
relative error = 2.6910818938877519983213800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.608
Order of pole = 4.437
x[1] = -1.594
y[1] (analytic) = 0.3935710948793645558530515731627
y[1] (numeric) = 0.39357109487936561951216186861597
absolute error = 1.06365911029545327e-15
relative error = 2.7025844228257686001869900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.607
Order of pole = 4.437
x[1] = -1.593
y[1] (analytic) = 0.39406537544578645597304592831951
y[1] (numeric) = 0.39406537544578752551631949304485
absolute error = 1.06954327356472534e-15
relative error = 2.7141264881615252590510000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.606
Order of pole = 4.437
x[1] = -1.592
y[1] (analytic) = 0.39456058773745149370774502705699
y[1] (numeric) = 0.39456058773745256916480058390973
absolute error = 1.07545705555685274e-15
relative error = 2.7257082663118987796841000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.605
Order of pole = 4.437
x[1] = -1.591
y[1] (analytic) = 0.39505673409758375400291235824377
y[1] (numeric) = 0.39505673409758483540353646164888
absolute error = 1.08140062410340511e-15
relative error = 2.7373299345817154936510200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.604
Order of pole = 4.437
x[1] = -1.59
y[1] (analytic) = 0.39555381687677826162799666627243
y[1] (numeric) = 0.3955538168767793490021447595577
absolute error = 1.08737414809328527e-15
relative error = 2.7489916711687825843722700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.603
Order of pole = 4.437
x[1] = -1.589
y[1] (analytic) = 0.39605183843302882227649012523951
y[1] (numeric) = 0.39605183843302991565428760530054
absolute error = 1.09337779748006103e-15
relative error = 2.7606936551689506559896600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=68.6MB, alloc=4.4MB, time=10.08
Real estimate of pole used
Radius of convergence = 1.602
Order of pole = 4.437
x[1] = -1.588
y[1] (analytic) = 0.39655080113175598643003158527131
y[1] (numeric) = 0.39655080113175708584177487462392
absolute error = 1.09941174328935261e-15
relative error = 2.7724360665812084975044500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.601
Order of pole = 4.437
x[1] = -1.587
y[1] (analytic) = 0.39705070734583513660529586233458
y[1] (numeric) = 0.39705070734583624208145348861061
absolute error = 1.10547615762627603e-15
relative error = 2.7842190863128100208771000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.6
Order of pole = 4.437
x[1] = -1.586
y[1] (analytic) = 0.39755155945562469860622398770453
y[1] (numeric) = 0.39755155945562581017743767064734
absolute error = 1.11157121368294281e-15
relative error = 2.7960428961844332954455700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.599
Order of pole = 4.437
x[1] = -1.585
y[1] (analytic) = 0.39805335984899447740768545505062
y[1] (numeric) = 0.39805335984899559510477120106727
absolute error = 1.11769708574601665e-15
relative error = 2.8079076789353724245629000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.598
Order of pole = 4.437
x[1] = -1.584
y[1] (analytic) = 0.39855611092135411830022195589817
y[1] (numeric) = 0.39855611092135524215417116022555
absolute error = 1.12385394920432738e-15
relative error = 2.8198136182287620430806600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.597
Order of pole = 4.437
x[1] = -1.583
y[1] (analytic) = 0.39905981507568169392910303325365
y[1] (numeric) = 0.39905981507568282397108358979644
absolute error = 1.13004198055654279e-15
relative error = 2.8317608986568350120331000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.596
Order of pole = 4.437
x[1] = -1.582
y[1] (analytic) = 0.39956447472255241786452766484532
y[1] (numeric) = 0.39956447472255355412588508374402
absolute error = 1.13626135741889870e-15
relative error = 2.8437497057462132489575000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.595
Order of pole = 4.437
x[1] = -1.581
y[1] (analytic) = 0.40007009228016748534343216931606
y[1] (numeric) = 0.40007009228016862785569070230393
absolute error = 1.14251225853298787e-15
relative error = 2.8557802259632322263129400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.594
Order of pole = 4.437
x[1] = -1.58
y[1] (analytic) = 0.40057667017438304182701416959855
y[1] (numeric) = 0.40057667017438419062187794320658
absolute error = 1.14879486377360803e-15
relative error = 2.8678526467192988597000300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.593
Order of pole = 4.437
x[1] = -1.579
y[1] (analytic) = 0.40108421083873928002175480759589
y[1] (numeric) = 0.40108421083874043513110896426573
absolute error = 1.15510935415666984e-15
relative error = 2.8799671563762838252212800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.592
Order of pole = 4.437
x[1] = -1.578
y[1] (analytic) = 0.40159271671448966601541714439467
y[1] (numeric) = 0.4015927167144908274713289915596
absolute error = 1.16145591184716493e-15
relative error = 2.8921239442519476847190500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.591
Order of pole = 4.437
x[1] = -1.577
y[1] (analytic) = 0.4021021902506302951832178629877
y[1] (numeric) = 0.40210219025063146301793803018249
absolute error = 1.16783472016719479e-15
relative error = 2.9043232006254017390947000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.59
Order of pole = 4.437
x[1] = -1.576
y[1] (analytic) = 0.40261263390392937852311217955557
y[1] (numeric) = 0.40261263390393055276907578361638
absolute error = 1.17424596360406081e-15
relative error = 2.9165651167426033464793700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.589
Order of pole = 4.437
x[1] = -1.575
y[1] (analytic) = 0.40312405013895686008289842967058
y[1] (numeric) = 0.40312405013895804077272624808669
absolute error = 1.18068982781841611e-15
relative error = 2.9288498848218862812848600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.588
Order of pole = 4.437
x[1] = -1.574
y[1] (analytic) = 0.40363644142811416614563929352321
y[1] (numeric) = 0.40363644142811535331213894600286
absolute error = 1.18716649965247965e-15
relative error = 2.9411776980595263258430500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.587
Order of pole = 4.437
x[1] = -1.573
y[1] (analytic) = 0.40414981025166408684371122687758
y[1] (numeric) = 0.4041498102516652805198783651906
absolute error = 1.19367616713831302e-15
relative error = 2.9535487506353420547766000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.586
Order of pole = 4.437
x[1] = -1.572
y[1] (analytic) = 0.40466415909776079087563254066369
y[1] (numeric) = 0.40466415909776199109465204682432
absolute error = 1.20021901950616063e-15
relative error = 2.9659632377183315564465500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.585
Order of pole = 4.437
x[1] = -1.571
y[1] (analytic) = 0.40517949046247997400368389192728
y[1] (numeric) = 0.40517949046248118079893108478093
absolute error = 1.20679524719285365e-15
relative error = 2.9784213554723449080533000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.584
Order of pole = 4.437
x[1] = -1.57
y[1] (analytic) = 0.40569580684984914201422288359654
y[1] (numeric) = 0.40569580684985035541926473387481
absolute error = 1.21340504185027827e-15
relative error = 2.9909233010617927580012700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.583
Order of pole = 4.437
x[1] = -1.569
y[1] (analytic) = 0.40621311077187802882650719281555
y[1] (numeric) = 0.40621311077187924887510354672448
absolute error = 1.22004859635390893e-15
relative error = 3.0034692726573915553346600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.582
Order of pole = 4.437
x[1] = -1.568
y[1] (analytic) = 0.40673140474858915043977833138441
y[1] (numeric) = 0.4067314047485903771658831427913
absolute error = 1.22672610481140689e-15
relative error = 3.0160594694419452649262500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.581
Order of pole = 4.437
x[1] = -1.567
y[1] (analytic) = 0.40725069130804849541232096241483
y[1] (numeric) = 0.4072506913080497288500835336996
absolute error = 1.23343776257128477e-15
relative error = 3.0286940916161640398873000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.58
Order of pole = 4.437
x[1] = -1.566
y[1] (analytic) = 0.40777097298639635257020083128191
y[1] (numeric) = 0.40777097298639759275396706291952
absolute error = 1.24018376623163761e-15
relative error = 3.0413733404045201143467700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.579
Order of pole = 4.437
memory used=72.4MB, alloc=4.4MB, time=10.66
x[1] = -1.565
y[1] (analytic) = 0.40829225232787827664739799430514
y[1] (numeric) = 0.4082922523278795236117116432462
absolute error = 1.24696431364894106e-15
relative error = 3.0540974180611413166195600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.578
Order of pole = 4.437
x[1] = -1.564
y[1] (analytic) = 0.40881453188487619256309132466946
y[1] (numeric) = 0.40881453188487744634269527158648
absolute error = 1.25377960394691702e-15
relative error = 3.0668665278757418818709400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.577
Order of pole = 4.437
x[1] = -1.563
y[1] (analytic) = 0.40933781421793963904591542262083
y[1] (numeric) = 0.40933781421794089967575294808848
absolute error = 1.26062983752546765e-15
relative error = 3.0796808741795917049205000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.576
Order of pole = 4.437
x[1] = -1.562
y[1] (analytic) = 0.40986210189581715231910223805201
y[1] (numeric) = 0.40986210189581841983431830773005
absolute error = 1.26751521606967804e-15
relative error = 3.0925406623515236175038000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.575
Order of pole = 4.437
x[1] = -1.561
y[1] (analytic) = 0.41038739749548779056453711174274
y[1] (numeric) = 0.41038739749548906500047967063093
absolute error = 1.27443594255888819e-15
relative error = 3.1054460988239791481131800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.573
Order of pole = 4.437
x[1] = -1.56
y[1] (analytic) = 0.41091370360219279988790274165732
y[1] (numeric) = 0.41091370360219408128012401749226
absolute error = 1.28139222127583494e-15
relative error = 3.1183973910890931858189400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.572
Order of pole = 4.437
x[1] = -1.559
y[1] (analytic) = 0.41144102280946742251125496917895
y[1] (numeric) = 0.41144102280946871089551278504335
absolute error = 1.28838425781586440e-15
relative error = 3.1313947477048177386408000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.571
Order of pole = 4.437
x[1] = -1.558
y[1] (analytic) = 0.41196935771917284792357144475594
y[1] (numeric) = 0.41196935771917414333583054097133
absolute error = 1.29541225909621539e-15
relative error = 3.1444383783010848701473500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.57
Order of pole = 4.437
x[1] = -1.557
y[1] (analytic) = 0.41249871094152830772403836238012
y[1] (numeric) = 0.41249871094152961020047172775476
absolute error = 1.30247643336537464e-15
relative error = 3.1575284935860094710200000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.569
Order of pole = 4.437
x[1] = -1.556
y[1] (analytic) = 0.41302908509514331489709173830312
y[1] (numeric) = 0.4130290850951446244740819508073
absolute error = 1.30957699021250418e-15
relative error = 3.1706653053521317328526600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.568
Order of pole = 4.437
x[1] = -1.555
y[1] (analytic) = 0.41356048280705004826250834358274
y[1] (numeric) = 0.41356048280705136497664892052439
absolute error = 1.31671414057694165e-15
relative error = 3.1838490264826999101829000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.567
Order of pole = 4.437
x[1] = -1.554
y[1] (analytic) = 0.41409290671273588284814757608647
y[1] (numeric) = 0.41409290671273720673624433386059
absolute error = 1.32388809675777412e-15
relative error = 3.1970798709579936045480400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.566
Order of pole = 4.437
x[1] = -1.553
y[1] (analytic) = 0.41462635945617606693727947060506
y[1] (numeric) = 0.41462635945617739803635189409103
absolute error = 1.33109907242348597e-15
relative error = 3.2103580538616876973057000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.565
Order of pole = 4.437
x[1] = -1.552
y[1] (analytic) = 0.41516084368986654654679589239861
y[1] (numeric) = 0.41516084368986788489407851408011
absolute error = 1.33834728262168150e-15
relative error = 3.2236837913872573374575000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.564
Order of pole = 4.437
x[1] = -1.551
y[1] (analytic) = 0.41569636207485693809699193798475
y[1] (numeric) = 0.41569636207485828372993572686771
absolute error = 1.34563294378888296e-15
relative error = 3.2370573008444244263419200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.563
Order of pole = 4.437
x[1] = -1.55
y[1] (analytic) = 0.4162329172807836500380228769936
y[1] (numeric) = 0.41623291728078500299429663739806
absolute error = 1.35295627376040446e-15
relative error = 3.2504788006656454755544600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.562
Order of pole = 4.437
x[1] = -1.549
y[1] (analytic) = 0.41677051198590315420258881171225
y[1] (numeric) = 0.41677051198590451452008059201485
absolute error = 1.36031749178030260e-15
relative error = 3.2639485104126416190452000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.561
Order of pole = 4.437
x[1] = -1.548
y[1] (analytic) = 0.41730914887712540765887480934188
y[1] (numeric) = 0.4173091488771267753756933207462
absolute error = 1.36771681851140432e-15
relative error = 3.2774666507829707290376000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.56
Order of pole = 4.437
x[1] = -1.547
y[1] (analytic) = 0.41784883065004742584227878038283
y[1] (numeric) = 0.41784883065004880099675482579551
absolute error = 1.37515447604541268e-15
relative error = 3.2910334436166420799028000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.559
Order of pole = 4.437
x[1] = -1.546
y[1] (analytic) = 0.41838956000898700774899304092645
y[1] (numeric) = 0.41838956000898839037968095401767
absolute error = 1.38263068791309122e-15
relative error = 3.3046491119027738474727400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.558
Order of pole = 4.437
x[1] = -1.545
y[1] (analytic) = 0.41893133966701661397906851454488
y[1] (numeric) = 0.41893133966701800412474760907247
absolute error = 1.39014567909452759e-15
relative error = 3.3183138797862938150473400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.557
Order of pole = 4.437
x[1] = -1.544
y[1] (analytic) = 0.41947417234599739842118311012413
y[1] (numeric) = 0.41947417234599879612085913960117
absolute error = 1.39769967602947704e-15
relative error = 3.3320279725746834063064800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.556
Order of pole = 4.437
x[1] = -1.543
y[1] (analytic) = 0.42001806077661339437595816620115
y[1] (numeric) = 0.42001806077661479966886479398761
absolute error = 1.40529290662778646e-15
relative error = 3.3457916167447653932910000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.555
Order of pole = 4.437
x[1] = -1.542
y[1] (analytic) = 0.42056300769840585591931919260314
y[1] (numeric) = 0.420563007698407268844919472503
absolute error = 1.41292560027989986e-15
relative error = 3.3596050399495360906129000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=76.2MB, alloc=4.4MB, time=11.23
Real estimate of pole used
Radius of convergence = 1.554
Order of pole = 4.437
x[1] = -1.541
y[1] (analytic) = 0.42110901585980775531207968056354
y[1] (numeric) = 0.4211090158598091759100675480091
absolute error = 1.42059798786744556e-15
relative error = 3.3734684710250413573119200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.553
Order of pole = 4.437
x[1] = -1.54
y[1] (analytic) = 0.42165608801817843726663970878744
y[1] (numeric) = 0.42165608801817986557694148269359
absolute error = 1.42831030177390615e-15
relative error = 3.3873821399972975992461500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.552
Order of pole = 4.437
x[1] = -1.539
y[1] (analytic) = 0.42220422693983843088643466262927
y[1] (numeric) = 0.42220422693983986694921055800114
absolute error = 1.43606277589537187e-15
relative error = 3.4013462780892579722761400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.551
Order of pole = 4.437
x[1] = -1.538
y[1] (analytic) = 0.42275343540010442009854382579176
y[1] (numeric) = 0.42275343540010586395418947716961
absolute error = 1.44385564565137785e-15
relative error = 3.4153611177278234783932500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.55
Order of pole = 4.437
x[1] = -1.537
y[1] (analytic) = 0.4233037161833243734046741196341
y[1] (numeric) = 0.42330371618332582509382211546032
absolute error = 1.45168914799582622e-15
relative error = 3.4294268925508999873414000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.549
Order of pole = 4.437
x[1] = -1.536
y[1] (analytic) = 0.42385507208291283378057107689282
y[1] (numeric) = 0.42385507208291429334409250488659
absolute error = 1.45956352142799377e-15
relative error = 3.4435438374145014175796900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.548
Order of pole = 4.437
x[1] = -1.535
y[1] (analytic) = 0.4244075059013863695587774687148
y[1] (numeric) = 0.42440750590138783703778347234041
absolute error = 1.46747900600362561e-15
relative error = 3.4577121883998987565478600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.547
Order of pole = 4.437
x[1] = -1.534
y[1] (analytic) = 0.42496102045039918713456008247643
y[1] (numeric) = 0.42496102045040066257040342859239
absolute error = 1.47543584334611596e-15
relative error = 3.4719321828208161940857200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.546
Order of pole = 4.437
x[1] = -1.533
y[1] (analytic) = 0.42551561855077890633975720078805
y[1] (numeric) = 0.42551561855078038977403385856457
absolute error = 1.48343427665777652e-15
relative error = 3.4862040592306740218868000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.545
Order of pole = 4.437
x[1] = -1.532
y[1] (analytic) = 0.42607130303256249933426358901162
y[1] (numeric) = 0.42607130303256399080881432020491
absolute error = 1.49147455073119329e-15
relative error = 3.5005280574298789314622500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.544
Order of pole = 4.437
x[1] = -1.531
y[1] (analytic) = 0.42662807673503239386986649100967
y[1] (numeric) = 0.4266280767350338934267784516822
absolute error = 1.49955691196067253e-15
relative error = 3.5149044184731619047638600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.543
Order of pole = 4.437
x[1] = -1.53
y[1] (analytic) = 0.42718594250675274178617549396578
y[1] (numeric) = 0.42718594250675424946778384774247
absolute error = 1.50768160835377669e-15
relative error = 3.5293333846769642073976900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.542
Order of pole = 4.437
x[1] = -1.529
y[1] (analytic) = 0.42774490320560585360345138807499
y[1] (numeric) = 0.42774490320560736945234093102596
absolute error = 1.51584888954295097e-15
relative error = 3.5438151996268715816067400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.541
Order of pole = 4.437
x[1] = -1.528
y[1] (analytic) = 0.42830496169882880008223455264618
y[1] (numeric) = 0.42830496169883032414124134988766
absolute error = 1.52405900679724148e-15
relative error = 3.5583501081850974488818000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.54
Order of pole = 4.437
x[1] = -1.527
y[1] (analytic) = 0.42886612086305018162480218550175
y[1] (numeric) = 0.42886612086305171393701521960724
absolute error = 1.53231221303410549e-15
relative error = 3.5729383564980147941977000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.539
Order of pole = 4.437
x[1] = -1.526
y[1] (analytic) = 0.42942838358432706639864609819224
y[1] (numeric) = 0.42942838358432860700740892950704
absolute error = 1.54060876283131480e-15
relative error = 3.5875801920037376545196000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.538
Order of pole = 4.437
x[1] = -1.525
y[1] (analytic) = 0.42999175275818209806735906805307
y[1] (numeric) = 0.42999175275818364701627150700607
absolute error = 1.54894891243895300e-15
relative error = 3.6022758634397525095780000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.537
Order of pole = 4.437
x[1] = -1.524
y[1] (analytic) = 0.43055623128964077401954811401301
y[1] (numeric) = 0.43055623128964233135246790552021
absolute error = 1.55733291979150720e-15
relative error = 3.6170256208505994180544000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.536
Order of pole = 4.437
x[1] = -1.523
y[1] (analytic) = 0.4311218220932688949916577927425
y[1] (numeric) = 0.43112182209327046075270231279786
absolute error = 1.56576104452005536e-15
relative error = 3.6318297155956040091808000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.535
Order of pole = 4.437
x[1] = -1.522
y[1] (analytic) = 0.43168852809321018698588594357399
y[1] (numeric) = 0.43168852809321176121943390812383
absolute error = 1.57423354796454984e-15
relative error = 3.6466884003566602361124000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.534
Order of pole = 4.437
x[1] = -1.521
y[1] (analytic) = 0.43225635222322409638970849496119
y[1] (numeric) = 0.4322563522232256791404016811591
absolute error = 1.58275069318619791e-15
relative error = 3.6616019291460640653062200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.533
Order of pole = 4.437
x[1] = -1.52
y[1] (analytic) = 0.43282529742672375920889923437533
y[1] (numeric) = 0.43282529742672535052164421431573
absolute error = 1.59131274497994040e-15
relative error = 3.6765705573143992801004000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.532
Order of pole = 4.437
x[1] = -1.519
y[1] (analytic) = 0.4333953666568141453313350917628
y[1] (numeric) = 0.43339536665681574525130497879167
absolute error = 1.59991996988702887e-15
relative error = 3.6915945415584747075409400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.531
Order of pole = 4.437
x[1] = -1.518
y[1] (analytic) = 0.43396656287633037874431775031734
y[1] (numeric) = 0.4339665628763319873169539580199
absolute error = 1.60857263620770256e-15
relative error = 3.7066741399293142015720000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=80.1MB, alloc=4.4MB, time=11.80
Real estimate of pole used
Radius of convergence = 1.53
Order of pole = 4.437
x[1] = -1.517
y[1] (analytic) = 0.43453888905787623463361853569085
y[1] (numeric) = 0.43453888905787785190463254965656
absolute error = 1.61727101401396571e-15
relative error = 3.7218096118401991487659000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.529
Order of pole = 4.437
x[1] = -1.516
y[1] (analytic) = 0.43511234818386281429796580626101
y[1] (numeric) = 0.43511234818386444031334096872721
absolute error = 1.62601537516246620e-15
relative error = 3.7370012180747640814134000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.528
Order of pole = 4.437
x[1] = -1.515
y[1] (analytic) = 0.43568694324654739881824273513806
y[1] (numeric) = 0.4356869432465490336242360426145
absolute error = 1.63480599330747644e-15
relative error = 3.7522492207951459194754400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.527
Order of pole = 4.437
x[1] = -1.514
y[1] (analytic) = 0.43626267724807248242624870375452
y[1] (numeric) = 0.43626267724807412606939261773173
absolute error = 1.64364314391397721e-15
relative error = 3.7675538835501868188303700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.526
Order of pole = 4.437
x[1] = -1.513
y[1] (analytic) = 0.43683955320050498652349978376442
y[1] (numeric) = 0.43683955320050663905060405461005
absolute error = 1.65252710427084563e-15
relative error = 3.7829154712836916908271000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.525
Order of pole = 4.437
x[1] = -1.512
y[1] (analytic) = 0.43741757412587565530620323732747
y[1] (numeric) = 0.43741757412587731676435674147527
absolute error = 1.66145815350414780e-15
relative error = 3.7983342503427399722310000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.524
Order of pole = 4.437
x[1] = -1.511
y[1] (analytic) = 0.43799674305621863395823788654308
y[1] (numeric) = 0.43799674305622030439481047708044
absolute error = 1.67043657259053736e-15
relative error = 3.8138104884860528384379200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.523
Order of pole = 4.437
x[1] = -1.51
y[1] (analytic) = 0.43857706303361123037970686386261
y[1] (numeric) = 0.43857706303361290984235123462318
absolute error = 1.67946264437076057e-15
relative error = 3.8293444548924155464175700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.522
Order of pole = 4.437
x[1] = -1.509
y[1] (analytic) = 0.43915853711021386142440193194624
y[1] (numeric) = 0.43915853711021554996105549521531
absolute error = 1.68853665356326907e-15
relative error = 3.8449364201691558604537400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.521
Order of pole = 4.437
x[1] = -1.508
y[1] (analytic) = 0.43974116834831018462532953103803
y[1] (numeric) = 0.43974116834831188228421630897921
absolute error = 1.69765888677794118e-15
relative error = 3.8605866563606788094967000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.52
Order of pole = 4.437
x[1] = -1.507
y[1] (analytic) = 0.44032495982034741639329825411153
y[1] (numeric) = 0.44032495982034912322293078402407
absolute error = 1.70682963252991254e-15
relative error = 3.8762954369570578739670000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.519
Order of pole = 4.437
x[1] = -1.506
y[1] (analytic) = 0.44090991460897683767945584661979
y[1] (numeric) = 0.44090991460897855372863710013704
absolute error = 1.71604918125351725e-15
relative error = 3.8920630369026835031382500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.518
Order of pole = 4.437
x[1] = -1.505
y[1] (analytic) = 0.44149603580709448809859136274815
y[1] (numeric) = 0.44149603580709621341641667908855
absolute error = 1.72531782531634040e-15
relative error = 3.9078897326049692308504000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.517
Order of pole = 4.437
x[1] = -1.504
y[1] (analytic) = 0.4420833265178820495159850699619
y[1] (numeric) = 0.44208332651788378415184410334464
absolute error = 1.73463585903338274e-15
relative error = 3.9237758019431153253865800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.516
Order of pole = 4.437
x[1] = -1.503
y[1] (analytic) = 0.44267178985484792010659536699705
y[1] (numeric) = 0.44267178985484966411017404833595
absolute error = 1.74400357868133890e-15
relative error = 3.9397215242769313884890000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.515
Order of pole = 4.437
x[1] = -1.502
y[1] (analytic) = 0.44326142894186847990141865820333
y[1] (numeric) = 0.44326142894187023332270117119298
absolute error = 1.75342128251298965e-15
relative error = 3.9557271804557172153482500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.514
Order of pole = 4.437
x[1] = -1.501
y[1] (analytic) = 0.44385224691322954884194510257869
y[1] (numeric) = 0.44385224691323131173121587428828
absolute error = 1.76288927077170959e-15
relative error = 3.9717930528272032496891800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.513
Order of pole = 4.437
x[1] = -1.5
y[1] (analytic) = 0.44444424691366803836976072455079
y[1] (numeric) = 0.4444442469136698107776064306418
absolute error = 1.77240784570609101e-15
relative error = 3.9879194252465504785910100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.512
Order of pole = 4.437
x[1] = -1.499
y[1] (analytic) = 0.44503743209841379758451483354265
y[1] (numeric) = 0.44503743209841557956182641822777
absolute error = 1.78197731158468512e-15
relative error = 4.0041065830854106340102400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.511
Order of pole = 4.437
x[1] = -1.498
y[1] (analytic) = 0.44563180563323165500968135097738
y[1] (numeric) = 0.44563180563323344660765606183889
absolute error = 1.79159797471086151e-15
relative error = 4.0203548132410467827475500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.51
Order of pole = 4.437
x[1] = -1.497
y[1] (analytic) = 0.44622737069446365701179378940745
y[1] (numeric) = 0.44622737069446545828193722719438
absolute error = 1.80127014343778693e-15
relative error = 4.0366644041455148879993000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.509
Order of pole = 4.437
x[1] = -1.496
y[1] (analytic) = 0.44682413046907150392512657410556
y[1] (numeric) = 0.44682413046907331491925475763006
absolute error = 1.81099412818352450e-15
relative error = 4.0530356457749069509165000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.508
Order of pole = 4.437
x[1] = -1.495
y[1] (analytic) = 0.44742208815467918494013045038402
y[1] (numeric) = 0.44742208815468100571037189663833
absolute error = 1.82077024144625431e-15
relative error = 4.0694688296586559854620600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.507
Order of pole = 4.437
memory used=83.9MB, alloc=4.5MB, time=12.38
x[1] = -1.494
y[1] (analytic) = 0.44802124695961581282030719024819
y[1] (numeric) = 0.44802124695961764341910500986463
absolute error = 1.83059879781961644e-15
relative error = 4.0859642488889032198882800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.506
Order of pole = 4.437
x[1] = -1.493
y[1] (analytic) = 0.44862161010295865951862901235953
y[1] (numeric) = 0.44862161010296049999874302053715
absolute error = 1.84048011400817762e-15
relative error = 4.1025221981299283238610000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.505
Order of pole = 4.437
x[1] = -1.492
y[1] (analytic) = 0.44922318081457639377107137482508
y[1] (numeric) = 0.44922318081457824418558021784753
absolute error = 1.85041450884302245e-15
relative error = 4.1191429736276427701592500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.504
Order of pole = 4.437
x[1] = -1.491
y[1] (analytic) = 0.44982596233517252175133440871727
y[1] (numeric) = 0.44982596233517438215363770618754
absolute error = 1.86040230329747027e-15
relative error = 4.1358268732191468027721400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.503
Order of pole = 4.437
x[1] = -1.49
y[1] (analytic) = 0.45042995791632903187737855169652
y[1] (numeric) = 0.45042995791633090232119905461554
absolute error = 1.87044382050291902e-15
relative error = 4.1525741963423510192210200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.502
Order of pole = 4.437
x[1] = -1.489
y[1] (analytic) = 0.45103517082055024486699423847673
y[1] (numeric) = 0.45103517082055212540638000329354
absolute error = 1.88053938576481681e-15
relative error = 4.1693852440456621754208200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.501
Order of pole = 4.437
x[1] = -1.488
y[1] (analytic) = 0.45164160432130687014626413355946
y[1] (numeric) = 0.45164160432130876083559071232214
absolute error = 1.89068932657876268e-15
relative error = 4.1862603189977344941086000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.5
Order of pole = 4.437
x[1] = -1.487
y[1] (analytic) = 0.45224926170308026972145967971707
y[1] (numeric) = 0.45224926170308217061543232645452
absolute error = 1.90089397264673745e-15
relative error = 4.2031997254972864473165000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.499
Order of pole = 4.437
x[1] = -1.486
y[1] (analytic) = 0.45285814626140693063164201382395
y[1] (numeric) = 0.4528581462614088417852979072898
absolute error = 1.91115365589346585e-15
relative error = 4.2202037694829836095724500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.498
Order of pole = 4.437
x[1] = -1.485
y[1] (analytic) = 0.45346826130292314710601090319087
y[1] (numeric) = 0.45346826130292506857472138610211
absolute error = 1.92146871048291124e-15
relative error = 4.2372727585433884221402400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.497
Order of pole = 4.437
x[1] = -1.484
y[1] (analytic) = 0.45407961014540991355686461661831
y[1] (numeric) = 0.4540796101454118453963374515221
absolute error = 1.93183947283490379e-15
relative error = 4.2544070019269767158540300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.496
Order of pole = 4.437
x[1] = -1.483
y[1] (analytic) = 0.45469219611783802954589890373712
y[1] (numeric) = 0.4546921961178399718121805456407
absolute error = 1.94226628164190358e-15
relative error = 4.2716068105522221244582000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.495
Order of pole = 4.437
x[1] = -1.482
y[1] (analytic) = 0.45530602256041341786848485538342
y[1] (numeric) = 0.45530602256041537061796274128307
absolute error = 1.95274947788589965e-15
relative error = 4.2888724970177485487862500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.494
Order of pole = 4.437
x[1] = -1.481
y[1] (analytic) = 0.45592109282462265690752370105801
y[1] (numeric) = 0.45592109282462462019692855650411
absolute error = 1.96328940485544610e-15
relative error = 4.3062043756125509687882000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.493
Order of pole = 4.437
x[1] = -1.48
y[1] (analytic) = 0.45653741027327872841548191404222
y[1] (numeric) = 0.45653741027328070230189007687905
absolute error = 1.97388640816283683e-15
relative error = 4.3236027623262859552688300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.492
Order of pole = 4.437
x[1] = -1.479
y[1] (analytic) = 0.45715497828056698189026269039362
y[1] (numeric) = 0.45715497828056896643109845181322
absolute error = 1.98454083576141960e-15
relative error = 4.3410679748596312126632000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.491
Order of pole = 4.437
x[1] = -1.478
y[1] (analytic) = 0.45777380023209131671767029757586
y[1] (numeric) = 0.45777380023209331197070826062701
absolute error = 1.99525303796305115e-15
relative error = 4.3586003326347157914077500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.49
Order of pole = 4.437
x[1] = -1.477
y[1] (analytic) = 0.45839387952492058326037230750895
y[1] (numeric) = 0.4583938795249225892837397632032
absolute error = 2.00602336745569425e-15
relative error = 4.3762001568056206772025000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.489
Order of pole = 4.437
x[1] = -1.476
y[1] (analytic) = 0.45901521956763520408046169586845
y[1] (numeric) = 0.45901521956763722093264101702656
absolute error = 2.01685217932115811e-15
relative error = 4.3938677702689506718094700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.488
Order of pole = 4.437
x[1] = -1.475
y[1] (analytic) = 0.4596378237803740164899665659447
y[1] (numeric) = 0.45963782378037604422979761892814
absolute error = 2.02773983105298344e-15
relative error = 4.4116034976744781496334400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.487
Order of pole = 4.437
x[1] = -1.474
y[1] (analytic) = 0.46026169559488133763095020566794
y[1] (numeric) = 0.46026169559488337631763278014124
absolute error = 2.03868668257447330e-15
relative error = 4.4294076654358589260241000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.486
Order of pole = 4.437
x[1] = -1.473
y[1] (analytic) = 0.46088683845455425329418867785393
y[1] (numeric) = 0.46088683845455630298728493472509
absolute error = 2.04969309625687116e-15
relative error = 4.4472806017414210619868000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.485
Order of pole = 4.437
x[1] = -1.472
y[1] (analytic) = 0.46151325581449013169280754666476
y[1] (numeric) = 0.46151325581449219245224448435217
absolute error = 2.06075943693768741e-15
relative error = 4.4652226365650270146768500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.484
Order of pole = 4.437
x[1] = -1.471
y[1] (analytic) = 0.46214095114153436341470403107066
y[1] (numeric) = 0.46214095114153643530077597024628
absolute error = 2.07188607193917562e-15
relative error = 4.4832341016770096519320400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=87.7MB, alloc=4.5MB, time=12.95
Real estimate of pole used
Radius of convergence = 1.483
Order of pole = 4.437
x[1] = -1.47
y[1] (analytic) = 0.46276992791432832878507622514868
y[1] (numeric) = 0.46276992791433041185844731210864
absolute error = 2.08307337108695996e-15
relative error = 4.5013153306551828645239600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.482
Order of pole = 4.437
x[1] = -1.469
y[1] (analytic) = 0.4634001896233575938779274148479
y[1] (numeric) = 0.46340018962335968819963414366292
absolute error = 2.09432170672881502e-15
relative error = 4.5194666588959271181892400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.481
Order of pole = 4.437
x[1] = -1.468
y[1] (analytic) = 0.46403173977100033642301133397524
y[1] (numeric) = 0.46403173977100244205446508757465
absolute error = 2.10563145375359941e-15
relative error = 4.5376884236253505685352500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.48
Order of pole = 4.437
x[1] = -1.467
y[1] (analytic) = 0.46466458187157600286233382432891
y[1] (numeric) = 0.46466458187157811986532343467347
absolute error = 2.11700298961034456e-15
relative error = 4.5559809639105264241304000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.479
Order of pole = 4.437
x[1] = -1.466
y[1] (analytic) = 0.46529871945139419781802818500463
y[1] (numeric) = 0.4652987194513963262547225125047
absolute error = 2.12843669432750007e-15
relative error = 4.5743446206708070679409900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.478
Order of pole = 4.437
x[1] = -1.465
y[1] (analytic) = 0.46593415604880380724117590598567
y[1] (numeric) = 0.46593415604880594717412643832258
absolute error = 2.13993295053233691e-15
relative error = 4.5927797366892153170016600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.477
Order of pole = 4.437
x[1] = -1.464
y[1] (analytic) = 0.46657089521424235651895187647815
y[1] (numeric) = 0.46657089521424450801109534698822
absolute error = 2.15149214347051007e-15
relative error = 4.6112866566239138215007900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.476
Order of pole = 4.437
x[1] = -1.463
y[1] (analytic) = 0.46720894051028560482533393759023
y[1] (numeric) = 0.46720894051028776793999496337208
absolute error = 2.16311466102578185e-15
relative error = 4.6298657270197526982845000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.475
Order of pole = 4.437
x[1] = -1.462
y[1] (analytic) = 0.46784829551169737700853121366866
y[1] (numeric) = 0.4678482955116995518094249535761
absolute error = 2.17480089373990744e-15
relative error = 4.6485172963198964580908000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.474
Order of pole = 4.437
x[1] = -1.461
y[1] (analytic) = 0.46848896380547963431625441199482
y[1] (numeric) = 0.46848896380548182086748924467886
absolute error = 2.18655123483268404e-15
relative error = 4.6672417148775304024288800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.473
Order of pole = 4.437
x[1] = -1.46
y[1] (analytic) = 0.46913094899092278526797463502785
y[1] (numeric) = 0.46913094899092498363405485719299
absolute error = 2.19836608022216514e-15
relative error = 4.6860393349676474345891400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.472
Order of pole = 4.437
x[1] = -1.459
y[1] (analytic) = 0.46977425467965623799139561475129
y[1] (numeric) = 0.46977425467965844823722415979261
absolute error = 2.21024582854504132e-15
relative error = 4.7049105107989156471402400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.471
Order of pole = 4.437
x[1] = -1.458
y[1] (analytic) = 0.47041888449569919534849807010653
y[1] (numeric) = 0.47041888449570141753937924729568
absolute error = 2.22219088117718915e-15
relative error = 4.7238555985256274934497500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.47
Order of pole = 4.437
x[1] = -1.457
y[1] (analytic) = 0.47106484207551169418470452457781
y[1] (numeric) = 0.47106484207551392838634677896739
absolute error = 2.23420164225438958e-15
relative error = 4.7428749562597309199030000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.469
Order of pole = 4.437
x[1] = -1.456
y[1] (analytic) = 0.47171213106804589004295882377637
y[1] (numeric) = 0.47171213106804813632147751699385
absolute error = 2.24627851869321748e-15
relative error = 4.7619689440829433848987600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.468
Order of pole = 4.437
x[1] = -1.455
y[1] (analytic) = 0.47236075513479758869281718788527
y[1] (numeric) = 0.47236075513479984711473739998898
absolute error = 2.25842192021210371e-15
relative error = 4.7811379240589490687664600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.467
Order of pole = 4.437
x[1] = -1.454
y[1] (analytic) = 0.47301071794985802583300735011355
y[1] (numeric) = 0.47301071794986029646526670268494
absolute error = 2.27063225935257139e-15
relative error = 4.8003822602456801693126300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.466
Order of pole = 4.437
x[1] = -1.453
y[1] (analytic) = 0.47366202319996589633432960245546
y[1] (numeric) = 0.47366202319996817924428110310333
absolute error = 2.28290995150064787e-15
relative error = 4.8197023187076827896227000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.465
Order of pole = 4.437
x[1] = -1.452
y[1] (analytic) = 0.47431467458455963439824883022143
y[1] (numeric) = 0.47431467458456192965366373867537
absolute error = 2.29525541490845394e-15
relative error = 4.8390984675285679839717000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.464
Order of pole = 4.437
x[1] = -1.451
y[1] (analytic) = 0.47496867581582994601506030677277
y[1] (numeric) = 0.47496867581583225368413102274479
absolute error = 2.30766907071597202e-15
relative error = 4.8585710768235489228520400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.463
Order of pole = 4.437
x[1] = -1.45
y[1] (analytic) = 0.4756240306187725951141045830656
y[1] (numeric) = 0.47562403061877491526544755606033
absolute error = 2.32015134297299473e-15
relative error = 4.8781205187520643928197300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.462
Order of pole = 4.437
x[1] = -1.449
y[1] (analytic) = 0.47628074273124144480715869007555
y[1] (numeric) = 0.47628074273124377750981735133116
absolute error = 2.33270265866125561e-15
relative error = 4.8977471675304896012672200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.461
Order of pole = 4.437
x[1] = -1.448
y[1] (analytic) = 0.47693881590400175513484252672646
y[1] (numeric) = 0.47693881590400410045829024347005
absolute error = 2.34532344771674359e-15
relative error = 4.9174513994449348688709500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.46
Order of pole = 4.437
x[1] = -1.447
y[1] (analytic) = 0.47759825390078373873465118611526
y[1] (numeric) = 0.47759825390078609674879423831814
absolute error = 2.35801414305220288e-15
relative error = 4.9372335928641329121728000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=91.5MB, alloc=4.5MB, time=13.53
Real estimate of pole used
Radius of convergence = 1.459
Order of pole = 4.437
x[1] = -1.446
y[1] (analytic) = 0.47825906049833637585805653691658
y[1] (numeric) = 0.47825906049833874663323711673641
absolute error = 2.37077518057981983e-15
relative error = 4.9570941282524151394841100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.458
Order of pole = 4.437
x[1] = -1.445
y[1] (analytic) = 0.47892123948648149017301508697689
y[1] (numeric) = 0.4789212394864838737800143210756
absolute error = 2.38360699923409871e-15
relative error = 4.9770333881827781930464600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.457
Order of pole = 4.437
x[1] = -1.444
y[1] (analytic) = 0.47958479466816808679717447822373
y[1] (numeric) = 0.47958479466817048330721547315152
absolute error = 2.39651004099492779e-15
relative error = 4.9970517573500407472572300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.456
Order of pole = 4.437
x[1] = -1.443
y[1] (analytic) = 0.48024972985952695401608836595029
y[1] (numeric) = 0.48024972985952936350083927678794
absolute error = 2.40948475091083765e-15
relative error = 5.0171496225840916967125000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.455
Order of pole = 4.437
x[1] = -1.442
y[1] (analytic) = 0.48091604888992553014982939503166
y[1] (numeric) = 0.48091604888992795268140651748511
absolute error = 2.42253157712245345e-15
relative error = 5.0373273728632304180592500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.454
Order of pole = 4.437
x[1] = -1.441
y[1] (analytic) = 0.481583755602023037040532978374
y[1] (numeric) = 0.48158375560202547269150386451684
absolute error = 2.43565097088614284e-15
relative error = 5.0575853993275996566888800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.453
Order of pole = 4.437
x[1] = -1.44
y[1] (analytic) = 0.48225285385182588164261109056178
y[1] (numeric) = 0.48225285385182833048599768842301
absolute error = 2.44884338659786123e-15
relative error = 5.0779240952927116443892300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.452
Order of pole = 4.437
x[1] = -1.439
y[1] (analytic) = 0.48292334750874332720664579793908
y[1] (numeric) = 0.48292334750874578931592761513545
absolute error = 2.46210928181719637e-15
relative error = 5.0983438562630685016791400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.451
Order of pole = 4.437
x[1] = -1.438
y[1] (analytic) = 0.48359524045564343555730724498209
y[1] (numeric) = 0.48359524045564591100642453659605
absolute error = 2.47544911729161396e-15
relative error = 5.1188450799458774691162000000001e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.45
Order of pole = 4.437
x[1] = -1.437
y[1] (analytic) = 0.48426853658890928197504079962421
y[1] (numeric) = 0.48426853658891177083839778053021
absolute error = 2.48886335698090600e-15
relative error = 5.1394281662648614628200000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.449
Order of pole = 4.437
x[1] = -1.436
y[1] (analytic) = 0.48494323981849544420073352514455
y[1] (numeric) = 0.48494323981849794655320160698855
absolute error = 2.50235246808184400e-15
relative error = 5.1600935173741662668680000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.447
Order of pole = 4.437
x[1] = -1.435
y[1] (analytic) = 0.48561935406798476709210159545383
y[1] (numeric) = 0.48561935406798728300902264849238
absolute error = 2.51591692105303855e-15
relative error = 5.1808415376723643611623000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.446
Order of pole = 4.437
x[1] = -1.434
y[1] (analytic) = 0.4862968832746454044701382104372
y[1] (numeric) = 0.48629688327464793402732785044464
absolute error = 2.52955718964000744e-15
relative error = 5.2016726338165567792960800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.445
Order of pole = 4.437
x[1] = -1.433
y[1] (analytic) = 0.48697583138948813970362650901636
y[1] (numeric) = 0.48697583138949068297737740947042
absolute error = 2.54327375090045406e-15
relative error = 5.2225872147365734076694000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.444
Order of pole = 4.437
x[1] = -1.432
y[1] (analytic) = 0.48765620237732398658945443462359
y[1] (numeric) = 0.4876562023773265436565396643816
absolute error = 2.55706708522975801e-15
relative error = 5.2435856916492725192562500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.443
Order of pole = 4.437
x[1] = -1.431
y[1] (analytic) = 0.48833800021682207209626900001074
y[1] (numeric) = 0.48833800021682464303394538669061
absolute error = 2.57093767638667987e-15
relative error = 5.2646684780729403439509400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.442
Order of pole = 4.437
x[1] = -1.43
y[1] (analytic) = 0.48902122890056780254887644927554
y[1] (numeric) = 0.48902122890057038743488796855765
absolute error = 2.58488601151928211e-15
relative error = 5.2858359898417915060211100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.441
Order of pole = 4.437
x[1] = -1.429
y[1] (analytic) = 0.48970589243512131484073295260333
y[1] (numeric) = 0.48970589243512391375331414367142
absolute error = 2.59891258119106809e-15
relative error = 5.3070886451205710646397800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.44
Order of pole = 4.437
x[1] = -1.428
y[1] (analytic) = 0.49039199484107621427187822585984
y[1] (numeric) = 0.4903919948410788272897576332009
absolute error = 2.61301787940734106e-15
relative error = 5.3284268644192587794361000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.439
Order of pole = 4.437
x[1] = -1.427
y[1] (analytic) = 0.49107954015311860061974237967324
y[1] (numeric) = 0.49107954015312122782214602145852
absolute error = 2.62720240364178528e-15
relative error = 5.3498510706078766192224000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.438
Order of pole = 4.437
x[1] = -1.426
y[1] (analytic) = 0.49176853242008638406040491237422
y[1] (numeric) = 0.49176853242008902552705977564553
absolute error = 2.64146665486327131e-15
relative error = 5.3713616889314003536448700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.437
Order of pole = 4.437
x[1] = -1.425
y[1] (analytic) = 0.49245897570502889256810461404513
y[1] (numeric) = 0.49245897570503154837924217693243
absolute error = 2.65581113756288730e-15
relative error = 5.3929591470247755864498000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.436
Order of pole = 4.437
x[1] = -1.424
y[1] (analytic) = 0.49315087408526677243109079548688
y[1] (numeric) = 0.49315087408526944266745057668558
absolute error = 2.67023635978119870e-15
relative error = 5.4146438749280397562899000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.435
Order of pole = 4.437
memory used=95.3MB, alloc=4.5MB, time=14.11
x[1] = -1.423
y[1] (analytic) = 0.49384423165245218353227025131733
y[1] (numeric) = 0.4938442316524548682751033870554
absolute error = 2.68474283313573807e-15
relative error = 5.4364163051015500900851000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.434
Order of pole = 4.437
x[1] = -1.422
y[1] (analytic) = 0.49453905251262929105354127052028
y[1] (numeric) = 0.4945390525126319903846141192478
absolute error = 2.69933107284872752e-15
relative error = 5.4582768724413191872792000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.433
Order of pole = 4.437
x[1] = -1.421
y[1] (analytic) = 0.49523534078629505527321638515839
y[1] (numeric) = 0.49523534078629776927481416019392
absolute error = 2.71400159777503553e-15
relative error = 5.4802260142944582936682600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.432
Order of pole = 4.437
x[1] = -1.42
y[1] (analytic) = 0.4959331006084603211365199680024
y[1] (numeric) = 0.49593310060846304989145039837299
absolute error = 2.72875493043037059e-15
relative error = 5.5022641704747296880465900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.431
Order of pole = 4.437
x[1] = -1.419
y[1] (analytic) = 0.49663233612871120928980582668922
y[1] (numeric) = 0.49663233612871395288140284640288
absolute error = 2.74359159701971366e-15
relative error = 5.5243917832782086766569200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.43
Order of pole = 4.437
x[1] = -1.418
y[1] (analytic) = 0.49733305151127081027987417473797
y[1] (numeric) = 0.49733305151127356879200164072965
absolute error = 2.75851212746599168e-15
relative error = 5.5466092974990561207680000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.429
Order of pole = 4.437
x[1] = -1.417
y[1] (analytic) = 0.49803525093506118363057737226641
y[1] (numeric) = 0.49803525093506395714763281126086
absolute error = 2.77351705543899445e-15
relative error = 5.5689171604454025662105000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.428
Order of pole = 4.437
x[1] = -1.416
y[1] (analytic) = 0.49873893859376566351979021045287
y[1] (numeric) = 0.49873893859376845212670859498983
absolute error = 2.78860691838453696e-15
relative error = 5.5913158219553445234067200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.427
Order of pole = 4.437
x[1] = -1.415
y[1] (analytic) = 0.49944411869589147279078385756653
y[1] (numeric) = 0.49944411869589427657304141143604
absolute error = 2.80378225755386951e-15
relative error = 5.6138057344130539335292600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.426
Order of pole = 4.437
x[1] = -1.414
y[1] (analytic) = 0.50015079546483264704308348967214
y[1] (numeric) = 0.50015079546483546608670152301008
absolute error = 2.81904361803333794e-15
relative error = 5.6363873527650017772221800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.425
Order of pole = 4.437
x[1] = -1.413
y[1] (analytic) = 0.50085897313893327055900869992036
y[1] (numeric) = 0.50085897313893610495055747421656
absolute error = 2.83439154877429620e-15
relative error = 5.6590611345362965640340000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.424
Order of pole = 4.437
x[1] = -1.412
y[1] (analytic) = 0.50156865597155102583329362581474
y[1] (numeric) = 0.50156865597155387565989624908831
absolute error = 2.84982660262327357e-15
relative error = 5.6818275398471385638196499999999e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.423
Order of pole = 4.437
x[1] = -1.411
y[1] (analytic) = 0.50227984823112105848446096833527
y[1] (numeric) = 0.50227984823112392383379732073436
absolute error = 2.86534933635239909e-15
relative error = 5.7046870314293911010609800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.422
Order of pole = 4.437
x[1] = -1.41
y[1] (analytic) = 0.50299255420122015933798131986252
y[1] (numeric) = 0.50299255420122304029829200994772
absolute error = 2.88096031069008520e-15
relative error = 5.7276400746432690762052000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.421
Order of pole = 4.437
x[1] = -1.409
y[1] (analytic) = 0.50370677818063126548268709432715
y[1] (numeric) = 0.50370677818063416214277744630053
absolute error = 2.89666009035197338e-15
relative error = 5.7506871374941464157931600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.42
Order of pole = 4.437
x[1] = -1.408
y[1] (analytic) = 0.50442252448340828211342949308058
y[1] (numeric) = 0.50442252448341119456267356522452
absolute error = 2.91244924407214394e-15
relative error = 5.7738286906494828360121000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.419
Order of pole = 4.437
x[1] = -1.407
y[1] (analytic) = 0.50513979743894122698456797918824
y[1] (numeric) = 0.50513979743894415531291261378076
absolute error = 2.92832834463459252e-15
relative error = 5.7970652074558710822180000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.418
Order of pole = 4.437
x[1] = -1.406
y[1] (analytic) = 0.50585860139202169931056531216281
y[1] (numeric) = 0.50585860139202464360853421713861
absolute error = 2.94429796890497580e-15
relative error = 5.8203971639562056455446000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.417
Order of pole = 4.437
x[1] = -1.405
y[1] (analytic) = 0.5065789407029086749617279610299
y[1] (numeric) = 0.50657894070291163532042582365867
absolute error = 2.96035869786262877e-15
relative error = 5.8438250389069736203280199999999e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.416
Order of pole = 4.437
x[1] = -1.404
y[1] (analytic) = 0.50730081974739462981498231802993
y[1] (numeric) = 0.50730081974739760632609895088622
absolute error = 2.97651111663285629e-15
relative error = 5.8673493137956690774049300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.415
Order of pole = 4.437
x[1] = -1.403
y[1] (analytic) = 0.50802424291687199313151223576389
y[1] (numeric) = 0.50802424291687498588732675526516
absolute error = 2.99275581451950127e-15
relative error = 5.8909704728583314948807000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.414
Order of pole = 4.437
x[1] = -1.402
y[1] (analytic) = 0.50874921461839993284510367037121
y[1] (numeric) = 0.50874921461840294193848870816342
absolute error = 3.00909338503779221e-15
relative error = 5.9146890030972095569370500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.413
Order of pole = 4.437
x[1] = -1.401
y[1] (analytic) = 0.50947573927477147465714830125504
y[1] (numeric) = 0.50947573927477450018157424872767
absolute error = 3.02552442594747263e-15
relative error = 5.9385053942985511731092600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.412
Order of pole = 4.437
x[1] = -1.4
y[1] (analytic) = 0.51020382132458095684645058854562
y[1] (numeric) = 0.51020382132458399889598987476056
absolute error = 3.04204953928621494e-15
relative error = 5.9624201390505205686149400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=99.1MB, alloc=4.5MB, time=14.69
Real estimate of pole used
Radius of convergence = 1.411
Order of pole = 4.437
x[1] = -1.399
y[1] (analytic) = 0.51093346522229182271426250330829
y[1] (numeric) = 0.51093346522229488138359390662989
absolute error = 3.05866933140332160e-15
relative error = 5.9864337327612438421632000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.41
Order of pole = 4.437
x[1] = -1.398
y[1] (analytic) = 0.51166467543830475259733780869369
y[1] (numeric) = 0.51166467543830782798175080240964
absolute error = 3.07538441299371595e-15
relative error = 6.0105466736769834212597500000001e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.409
Order of pole = 4.437
x[1] = -1.397
y[1] (analytic) = 0.51239745645902613739425397492327
y[1] (numeric) = 0.51239745645902922958965310714901
absolute error = 3.09219539913222574e-15
relative error = 6.0347594629004430764414000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.408
Order of pole = 4.437
x[1] = -1.396
y[1] (analytic) = 0.51313181278693689556279527528752
y[1] (numeric) = 0.51313181278694000466570458344937
absolute error = 3.10910290930816185e-15
relative error = 6.0590726044092040520314500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.407
Order of pole = 4.437
x[1] = -1.395
y[1] (analytic) = 0.51386774894066163555882603829548
y[1] (numeric) = 0.51386774894066476166639349849048
absolute error = 3.12610756746019500e-15
relative error = 6.0834866050742934350700000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.406
Order of pole = 4.437
x[1] = -1.394
y[1] (analytic) = 0.51460526945503816569980913290556
y[1] (numeric) = 0.51460526945504130890981114443893
absolute error = 3.14321000201153337e-15
relative error = 6.1080019746788860713186900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.405
Order of pole = 4.437
x[1] = -1.393
y[1] (analytic) = 0.51534437888118735344894225566235
y[1] (numeric) = 0.51534437888119051385978816106611
absolute error = 3.16041084590540376e-15
relative error = 6.1326192259371407260920000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.404
Order of pole = 4.437
x[1] = -1.392
y[1] (analytic) = 0.51608508178658333612879419301066
y[1] (numeric) = 0.5160850817865865138395308338499
absolute error = 3.17771073664083924e-15
relative error = 6.1573388745131717659746000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.403
Order of pole = 4.437
x[1] = -1.391
y[1] (analytic) = 0.51682738275512408508632567774159
y[1] (numeric) = 0.51682738275512728019664198651772
absolute error = 3.19511031630877613e-15
relative error = 6.1821614390401573759666600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.402
Order of pole = 4.437
x[1] = -1.39
y[1] (analytic) = 0.51757128638720232534427548042261
y[1] (numeric) = 0.51757128638720553795450710888586
absolute error = 3.21261023162846325e-15
relative error = 6.2070874411395854737882500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.401
Order of pole = 4.437
x[1] = -1.389
y[1] (analytic) = 0.51831679729977681278708271610441
y[1] (numeric) = 0.51831679729978004299821670029068
absolute error = 3.23021113398418627e-15
relative error = 6.2321174054406382228089400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.4
Order of pole = 4.437
x[1] = -1.388
y[1] (analytic) = 0.51906392012644397094280175132167
y[1] (numeric) = 0.51906392012644721885648121363185
absolute error = 3.24791367946231018e-15
relative error = 6.2572518595997163657281000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.399
Order of pole = 4.437
x[1] = -1.387
y[1] (analytic) = 0.51981265951750988943584732062565
y[1] (numeric) = 0.51981265951751315515437620926863
absolute error = 3.26571852888864298e-15
relative error = 6.2824913343201047056346000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.398
Order of pole = 4.437
x[1] = -1.386
y[1] (analytic) = 0.52056302014006268619888526634867
y[1] (numeric) = 0.52056302014006596982523313247198
absolute error = 3.28362634786612331e-15
relative error = 6.3078363633717792801400700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.397
Order of pole = 4.437
x[1] = -1.385
y[1] (analytic) = 0.52131500667804523554575946734118
y[1] (numeric) = 0.52131500667804853718356628017656
absolute error = 3.30163780681283538e-15
relative error = 6.3332874836113579596358800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.396
Order of pole = 4.437
x[1] = -1.384
y[1] (analytic) = 0.52206862383232826422101879603666
y[1] (numeric) = 0.5220686238323315839745997963908
absolute error = 3.31975358100035414e-15
relative error = 6.3588452350021953399419800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.395
Order of pole = 4.437
x[1] = -1.383
y[1] (analytic) = 0.52282387632078381755538011909928
y[1] (numeric) = 0.52282387632078715552973071152301
absolute error = 3.33797435059242373e-15
relative error = 6.3845101606346229441337000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.394
Order of pole = 4.437
x[1] = -1.382
y[1] (analytic) = 0.52358076887835909787033522258727
y[1] (numeric) = 0.52358076887836245417113590655984
absolute error = 3.35630080068397257e-15
relative error = 6.4102828067463363107572500000001e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.393
Order of pole = 4.437
x[1] = -1.381
y[1] (analytic) = 0.52433930625715067728908189236153
y[1] (numeric) = 0.52433930625715405202270323282948
absolute error = 3.37473362134046795e-15
relative error = 6.4361637227429295364579000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.392
Order of pole = 4.437
x[1] = -1.38
y[1] (analytic) = 0.52509949322647908712503301563064
y[1] (numeric) = 0.52509949322648248039854065324431
absolute error = 3.39327350763761367e-15
relative error = 6.4621534612185791107616700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.391
Order of pole = 4.437
x[1] = -1.379
y[1] (analytic) = 0.52586133457296378603333329827591
y[1] (numeric) = 0.52586133457296719795449299966961
absolute error = 3.41192115970139370e-15
relative error = 6.4882525779768777184554000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.39
Order of pole = 4.437
x[1] = -1.378
y[1] (analytic) = 0.52662483510059850912509183020562
y[1] (numeric) = 0.52662483510060193980237457867086
absolute error = 3.43067728274846524e-15
relative error = 6.5144616320518194172574000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.389
Order of pole = 4.437
x[1] = -1.377
y[1] (analytic) = 0.52738999963082700025842109981911
y[1] (numeric) = 0.52738999963083044980100822672366
absolute error = 3.44954258712690455e-15
relative error = 6.5407811857289375243914999999999e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.388
Order of pole = 4.437
x[1] = -1.376
y[1] (analytic) = 0.52815683300261912973485998826436
y[1] (numeric) = 0.52815683300262259825264834557309
absolute error = 3.46851778835730873e-15
relative error = 6.5672118045665961312812099999999e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=103.0MB, alloc=4.5MB, time=15.27
Real estimate of pole used
Radius of convergence = 1.387
Order of pole = 4.437
x[1] = -1.375
y[1] (analytic) = 0.52892534007254739964435060133522
y[1] (numeric) = 0.52892534007255088724795777559218
absolute error = 3.48760360717425696e-15
relative error = 6.5937540574174367392569600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.386
Order of pole = 4.437
x[1] = -1.374
y[1] (analytic) = 0.52969552571486383911663736567584
y[1] (numeric) = 0.52969552571486734591740693381034
absolute error = 3.50680076956813450e-15
relative error = 6.6204085164499810554564999999999e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.385
Order of pole = 4.437
x[1] = -1.373
y[1] (analytic) = 0.53046739482157729175176247791929
y[1] (numeric) = 0.53046739482158081786176930524235
absolute error = 3.52611000682732306e-15
relative error = 6.6471757571703915200978000000001e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.384
Order of pole = 4.437
x[1] = -1.372
y[1] (analytic) = 0.53124095230253109751724540941412
y[1] (numeric) = 0.53124095230253464304930099017488
absolute error = 3.54553205558076076e-15
relative error = 6.6740563584443903432126000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.383
Order of pole = 4.437
x[1] = -1.371
y[1] (analytic) = 0.53201620308548117141455660173586
y[1] (numeric) = 0.53201620308548473648221444261134
absolute error = 3.56506765784087548e-15
relative error = 6.7010509025193388689781600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.382
Order of pole = 4.437
x[1] = -1.37
y[1] (analytic) = 0.53279315211617448123262761328381
y[1] (numeric) = 0.53279315211617806595018866017871
absolute error = 3.58471756104689490e-15
relative error = 6.7281599750464780847049000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.381
Order of pole = 4.437
x[1] = -1.369
y[1] (analytic) = 0.53357180435842792672138267663094
y[1] (numeric) = 0.53357180435843153120390078516792
absolute error = 3.60448251810853698e-15
relative error = 6.7553841651033318835107600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.38
Order of pole = 4.437
x[1] = -1.368
y[1] (analytic) = 0.53435216479420762253363078937174
y[1] (numeric) = 0.53435216479421124689691823945615
absolute error = 3.62436328745008441e-15
relative error = 6.7827240652162742169842499999999e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.379
Order of pole = 4.437
x[1] = -1.367
y[1] (analytic) = 0.5351342384237085872991239852517
y[1] (numeric) = 0.53513423842371223165975704009846
absolute error = 3.64436063305484676e-15
relative error = 6.8101802713832615919444000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.378
Order of pole = 4.437
x[1] = -1.366
y[1] (analytic) = 0.53591803026543484121016722250298
y[1] (numeric) = 0.53591803026543850568549173251693
absolute error = 3.66447532451001395e-15
relative error = 6.8377533830967321001001500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.377
Order of pole = 4.437
x[1] = -1.365
y[1] (analytic) = 0.53670354535627991451385929565174
y[1] (numeric) = 0.53670354535628359922199634755658
absolute error = 3.68470813705190484e-15
relative error = 6.8654440033666724474138399999999e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.376
Order of pole = 4.437
x[1] = -1.364
y[1] (analytic) = 0.53749078875160776932185324673998
y[1] (numeric) = 0.5374907887516114743817048583547
absolute error = 3.70505985161161472e-15
relative error = 6.8932527387438543517158400000001e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.375
Order of pole = 4.437
x[1] = -1.363
y[1] (analytic) = 0.53827976552533413716444985116564
y[1] (numeric) = 0.53827976552533786269570471223099
absolute error = 3.72553125486106535e-15
relative error = 6.9211801993432413752695000000001e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.374
Order of pole = 4.437
x[1] = -1.362
y[1] (analytic) = 0.53907048077000827473187981962702
y[1] (numeric) = 0.53907048077001202085501907908871
absolute error = 3.74612313925946169e-15
relative error = 6.9492269988675681107260500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.373
Order of pole = 4.437
x[1] = -1.361
y[1] (analytic) = 0.53986293959689514026179033666933
y[1] (numeric) = 0.53986293959689890709809343682834
absolute error = 3.76683630310015901e-15
relative error = 6.9773937546310927377212200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.372
Order of pole = 4.437
x[1] = -1.36
y[1] (analytic) = 0.54065714713605799304823040212457
y[1] (numeric) = 0.5406571471360617807197809600688
absolute error = 3.78767155055794423e-15
relative error = 7.0056810875835242057522300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.371
Order of pole = 4.437
x[1] = -1.359
y[1] (analytic) = 0.5414531085364414185638281167936
y[1] (numeric) = 0.54145310853644522719351985352935
absolute error = 3.80862969173673575e-15
relative error = 7.0340896223341259954315000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.37
Order of pole = 4.437
x[1] = -1.358
y[1] (analytic) = 0.54225082896595478170337252903075
y[1] (numeric) = 0.54225082896595861141491524673625
absolute error = 3.82971154271770550e-15
relative error = 7.0626199871759973634075000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.369
Order of pole = 4.437
x[1] = -1.357
y[1] (analytic) = 0.54305031361155611067365391403514
y[1] (numeric) = 0.54305031361155996159157952186258
absolute error = 3.85091792560782744e-15
relative error = 7.0912728141105338393879999999999e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.368
Order of pole = 4.437
x[1] = -1.356
y[1] (analytic) = 0.54385156767933641407118038088101
y[1] (numeric) = 0.54385156767934028632084896973756
absolute error = 3.87224966858885655e-15
relative error = 7.1200487388720683261773500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.367
Order of pole = 4.437
x[1] = -1.355
y[1] (analytic) = 0.54465459639460443370627649063793
y[1] (numeric) = 0.54465459639460832741388245738032
absolute error = 3.89370760596674239e-15
relative error = 7.1489484009526941633421400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.366
Order of pole = 4.437
x[1] = -1.354
y[1] (analytic) = 0.54545940500197183574908212818623
y[1] (numeric) = 0.54545940500197575104166034966772
absolute error = 3.91529257822148149e-15
relative error = 7.1779724436272717808023300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.365
Order of pole = 4.437
x[1] = -1.353
y[1] (analytic) = 0.54626599876543884279010821529436
y[1] (numeric) = 0.54626599876544277979554027270716
absolute error = 3.93700543205741280e-15
relative error = 7.2071215139786204458079999999999e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.364
Order of pole = 4.437
x[1] = -1.352
y[1] (analytic) = 0.54707438296848030942527100697246
y[1] (numeric) = 0.5470743829684842682722914609329
absolute error = 3.95884702045396044e-15
relative error = 7.2363962629228965580782000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=106.8MB, alloc=4.5MB, time=15.85
Real estimate of pole used
Radius of convergence = 1.363
Order of pole = 4.437
x[1] = -1.351
y[1] (analytic) = 0.547884562914132243992719709928
y[1] (numeric) = 0.54788456291413622481092242675595
absolute error = 3.98081820271682795e-15
relative error = 7.2657973452351598079959000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.362
Order of pole = 4.437
x[1] = -1.35
y[1] (analytic) = 0.54869654392507877910629404318571
y[1] (numeric) = 0.54869654392508278202613857283441
absolute error = 4.00291984452964870e-15
relative error = 7.2953254195751292853987000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.361
Order of pole = 4.437
x[1] = -1.349
y[1] (analytic) = 0.54951033134373959364810017793145
y[1] (numeric) = 0.54951033134374361880091818402793
absolute error = 4.02515281800609648e-15
relative error = 7.3249811485131303864969599999999e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.36
Order of pole = 4.437
x[1] = -1.348
y[1] (analytic) = 0.55032593053235778890047630709288
y[1] (numeric) = 0.55032593053236183641847804955394
absolute error = 4.04751800174246106e-15
relative error = 7.3547651985562347044312999999999e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.359
Order of pole = 4.437
x[1] = -1.347
y[1] (analytic) = 0.55114334687308822151553397523162
y[1] (numeric) = 0.55114334687309229153181484592456
absolute error = 4.07001628087069294e-15
relative error = 7.3846782401745939772654000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.358
Order of pole = 4.437
x[1] = -1.346
y[1] (analytic) = 0.55196258576808629603850932568387
y[1] (numeric) = 0.55196258576809038868705643760594
absolute error = 4.09264854711192207e-15
relative error = 7.4147209478279701168941900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.357
Order of pole = 4.437
x[1] = -1.345
y[1] (analytic) = 0.55278365263959721971934068388182
y[1] (numeric) = 0.55278365263960133513503951433676
absolute error = 4.11541569883045494e-15
relative error = 7.4448939999924625782884400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.356
Order of pole = 4.437
x[1] = -1.344
y[1] (analytic) = 0.55360655293004572236520649247621
y[1] (numeric) = 0.55360655293004986068384758073097
absolute error = 4.13831864108825476e-15
relative error = 7.4751980791874348384141200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.355
Order of pole = 4.437
x[1] = -1.343
y[1] (analytic) = 0.55443129210212624400521165414576
y[1] (numeric) = 0.55443129210213040536349735405523
absolute error = 4.16135828569990947e-15
relative error = 7.5056338720026417155655000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.354
Order of pole = 4.437
x[1] = -1.342
y[1] (analytic) = 0.55525787563889359315700194062628
y[1] (numeric) = 0.55525787563889777769255322871845
absolute error = 4.18453555128809217e-15
relative error = 7.5362020691255589149440499999999e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.353
Order of pole = 4.437
x[1] = -1.341
y[1] (analytic) = 0.55608630904385407850381642033897
y[1] (numeric) = 0.55608630904385828635517975985785
absolute error = 4.20785136333951888e-15
relative error = 7.5669033653689166905641600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.352
Order of pole = 4.437
x[1] = -1.34
y[1] (analytic) = 0.55691659784105711680935798097684
y[1] (numeric) = 0.55691659784106134811601224238527
absolute error = 4.23130665426140843e-15
relative error = 7.5977384596984392383164300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.351
Order of pole = 4.437
x[1] = -1.339
y[1] (analytic) = 0.55774874757518731991687312666139
y[1] (numeric) = 0.55774874757519157481923656511071
absolute error = 4.25490236343844932e-15
relative error = 7.6287080552607914317130400000001e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.35
Order of pole = 4.437
x[1] = -1.338
y[1] (analytic) = 0.55858276381165706369798547126231
y[1] (numeric) = 0.55858276381166134233742276154088
absolute error = 4.27863943729027857e-15
relative error = 7.6598128594117347585496500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.349
Order of pole = 4.437
x[1] = -1.337
y[1] (analytic) = 0.55941865213669954183612390004308
y[1] (numeric) = 0.55941865213670384435495322952053
absolute error = 4.30251882932947745e-15
relative error = 7.6910535837444940052964999999999e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.348
Order of pole = 4.437
x[1] = -1.336
y[1] (analytic) = 0.56025641815746230734882741132962
y[1] (numeric) = 0.56025641815746663389032763141887
absolute error = 4.32654150022008925e-15
relative error = 7.7224309441183366420572500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.347
Order of pole = 4.437
x[1] = -1.335
y[1] (analytic) = 0.56109606750210130477279536938637
y[1] (numeric) = 0.56109606750210565548121320605036
absolute error = 4.35070841783666399e-15
relative error = 7.7539456606873663162417400000001e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.346
Order of pole = 4.437
x[1] = -1.334
y[1] (analytic) = 0.5619376058198753959552855008297
y[1] (numeric) = 0.56193760581987977097584282466517
absolute error = 4.37502055732383547e-15
relative error = 7.7855984579295326774867900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.345
Order of pole = 4.437
x[1] = -1.333
y[1] (analytic) = 0.56278103878124138241534366224133
y[1] (numeric) = 0.562781038781245781894244818677
absolute error = 4.39947890115643567e-15
relative error = 7.8173900646758589776663000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.344
Order of pole = 4.437
x[1] = -1.332
y[1] (analytic) = 0.56362637207794952725838041961983
y[1] (numeric) = 0.56362637207795395134281961977165
absolute error = 4.42408443920015182e-15
relative error = 7.8493212141398893628395000000001e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.343
Order of pole = 4.437
x[1] = -1.331
y[1] (analytic) = 0.56447361142313957964779104541642
y[1] (numeric) = 0.56447361142314402848595981814784
absolute error = 4.44883816877273142e-15
relative error = 7.8813926439473576198780400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.342
Order of pole = 4.437
x[1] = -1.33
y[1] (analytic) = 0.56532276255143730485764890177574
y[1] (numeric) = 0.56532276255144177859874360751644
absolute error = 4.47374109470574070e-15
relative error = 7.9136050961660794299706999999999e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.341
Order of pole = 4.437
x[1] = -1.329
y[1] (analytic) = 0.56617383121905152295098859612669
y[1] (numeric) = 0.56617383121905602174521800300842
absolute error = 4.49879422940688173e-15
relative error = 7.9459593173360696005586600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.34
Order of pole = 4.437
memory used=110.6MB, alloc=4.5MB, time=16.42
x[1] = -1.328
y[1] (analytic) = 0.56702682320387165914883603568867
y[1] (numeric) = 0.56702682320387618314742895856249
absolute error = 4.52399859292287382e-15
relative error = 7.9784560584998864258447000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.339
Order of pole = 4.437
x[1] = -1.327
y[1] (analytic) = 0.56788174430556580897593885049377
y[1] (numeric) = 0.56788174430557035833115185339853
absolute error = 4.54935521300290476e-15
relative error = 8.0110960752332050790268000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.338
Order of pole = 4.437
x[1] = -1.326
y[1] (analytic) = 0.56873860034567932129010389148013
y[1] (numeric) = 0.56873860034568389615522905413749
absolute error = 4.57486512516265736e-15
relative error = 8.0438801276756216949687199999999e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.337
Order of pole = 4.437
x[1] = -1.325
y[1] (analytic) = 0.56959739716773390232315994408832
y[1] (numeric) = 0.56959739716773850285253269300546
absolute error = 4.60052937274891714e-15
relative error = 8.0768089805616904028296400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.336
Order of pole = 4.437
x[1] = -1.324
y[1] (analytic) = 0.57045814063732724388283474341078
y[1] (numeric) = 0.5704581406373318702318417481774
absolute error = 4.62634900700476662e-15
relative error = 8.1098834032521947752277400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.335
Order of pole = 4.437
x[1] = -1.323
y[1] (analytic) = 0.57132083664223317888626716104963
y[1] (numeric) = 0.57132083664223783121135429642193
absolute error = 4.65232508713537230e-15
relative error = 8.1431041697656561978590000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.334
Order of pole = 4.437
x[1] = -1.322
y[1] (analytic) = 0.57218549109250236741746939522855
y[1] (numeric) = 0.5721854910925070458761497695985
absolute error = 4.67845868037436995e-15
relative error = 8.1764720588100807460657499999999e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.333
Order of pole = 4.437
x[1] = -1.321
y[1] (analytic) = 0.57305210992056351652281148533961
y[1] (numeric) = 0.57305210992056822127367353619379
absolute error = 4.70475086205085418e-15
relative error = 8.2099878538149466799755600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.332
Order of pole = 4.437
x[1] = -1.32
y[1] (analytic) = 0.57392069908132513698052285323528
y[1] (numeric) = 0.57392069908132986818323851021349
absolute error = 4.73120271565697821e-15
relative error = 8.2436523429634344900822100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.331
Order of pole = 4.437
x[1] = -1.319
y[1] (analytic) = 0.57479126455227784030229422185333
y[1] (numeric) = 0.57479126455228259811762713802331
absolute error = 4.75781533291616998e-15
relative error = 8.2774663192249017167447600000001e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.33
Order of pole = 4.437
x[1] = -1.318
y[1] (analytic) = 0.57566381233359717924731956537382
y[1] (numeric) = 0.57566381233360196383713341734437
absolute error = 4.78458981385197055e-15
relative error = 8.3114305803876043416687500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.329
Order of pole = 4.437
x[1] = -1.317
y[1] (analytic) = 0.57653834844824703515154310488962
y[1] (numeric) = 0.57653834844825184667880996239069
absolute error = 4.81152726685750107e-15
relative error = 8.3455459290916670309043000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.328
Order of pole = 4.437
x[1] = -1.316
y[1] (analytic) = 0.57741487894208355539747219314297
y[1] (numeric) = 0.5774148789420883940262809587074
absolute error = 4.83862880876556443e-15
relative error = 8.3798131728623041170465100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.327
Order of pole = 4.437
x[1] = -1.315
y[1] (analytic) = 0.57829340988395964437268465776018
y[1] (numeric) = 0.57829340988396451026824957714814
absolute error = 4.86589556491938796e-15
relative error = 8.4142331241432935645189600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.326
Order of pole = 4.437
x[1] = -1.314
y[1] (analytic) = 0.57917394736583001128810023416003
y[1] (numeric) = 0.57917394736583490461676947817352
absolute error = 4.89332866924401349e-15
relative error = 8.4488066003307059597935300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.325
Order of pole = 4.437
x[1] = -1.313
y[1] (analytic) = 0.58005649750285677825020156963288
y[1] (numeric) = 0.58005649750286169917946588797412
absolute error = 4.92092926431834124e-15
relative error = 8.4835344238068907475228000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.324
Order of pole = 4.437
x[1] = -1.312
y[1] (analytic) = 0.58094106643351565200468238499545
y[1] (numeric) = 0.5809410664335206007031838328294
absolute error = 4.94869850144783395e-15
relative error = 8.5184174219747217306627500000001e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.323
Order of pole = 4.437
x[1] = -1.311
y[1] (analytic) = 0.58182766031970266279247021915121
y[1] (numeric) = 0.58182766031970763943001095703912
absolute error = 4.97663754073788791e-15
relative error = 8.5534564272921041844510199999999e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.321
Order of pole = 4.437
x[1] = -1.31
y[1] (analytic) = 0.58271628534684147378272024781758
y[1] (numeric) = 0.58271628534684647853027141569504
absolute error = 5.00474755116787746e-15
relative error = 8.5886522773067456769834600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.32
Order of pole = 4.437
x[1] = -1.309
y[1] (analytic) = 0.58360694772399126457120646729875
y[1] (numeric) = 0.58360694772399629760091713317837
absolute error = 5.03302971066587962e-15
relative error = 8.6240058146911927430368400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.319
Order of pole = 4.437
x[1] = -1.308
y[1] (analytic) = 0.58449965368395519225654858799496
y[1] (numeric) = 0.58449965368396025374175477208074
absolute error = 5.06148520618408578e-15
relative error = 8.6595178872781359179997000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.318
Order of pole = 4.437
x[1] = -1.307
y[1] (analytic) = 0.58539440948338943363090882482072
y[1] (numeric) = 0.58539440948339452374614259972784
absolute error = 5.09011523377490712e-15
relative error = 8.6951893480959850877400000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.317
Order of pole = 4.437
x[1] = -1.306
y[1] (analytic) = 0.58629122140291281204617395143281
y[1] (numeric) = 0.58629122140291793096717261921356
absolute error = 5.11892099866778075e-15
relative error = 8.7310210554047175550877500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.316
Order of pole = 4.437
x[1] = -1.305
y[1] (analytic) = 0.58719009574721701254120606496906
y[1] (numeric) = 0.58719009574722216044492141165272
absolute error = 5.14790371534668366e-15
relative error = 8.7670138727320012867551600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=114.4MB, alloc=4.5MB, time=16.99
Real estimate of pole used
Radius of convergence = 1.315
Order of pole = 4.437
x[1] = -1.304
y[1] (analytic) = 0.58809103884517738884050206508168
y[1] (numeric) = 0.588091038845182565905109693443
absolute error = 5.17706460762836132e-15
relative error = 8.8031686689095952706704400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.314
Order of pole = 4.437
x[1] = -1.303
y[1] (analytic) = 0.58899405704996436585954847715587
y[1] (numeric) = 0.58899405704996957226445721843422
absolute error = 5.20640490874127835e-15
relative error = 8.8394863181100297954134999999999e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.313
Order of pole = 4.437
x[1] = -1.302
y[1] (analytic) = 0.58989915673915544137729655115458
y[1] (numeric) = 0.58989915673916067730315795645288
absolute error = 5.23592586140529830e-15
relative error = 8.8759676998835687046515000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.312
Order of pole = 4.437
x[1] = -1.301
y[1] (analytic) = 0.59080634431484779056151416576372
y[1] (numeric) = 0.59080634431485305619023207786355
absolute error = 5.26562871791209983e-15
relative error = 8.9126136991954559964576600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.311
Order of pole = 4.437
x[1] = -1.3
y[1] (analytic) = 0.59171562620377147705829759864047
y[1] (numeric) = 0.59171562620377677257303780497733
absolute error = 5.29551474020633686e-15
relative error = 8.9494252064634494997368600000001e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.31
Order of pole = 4.437
x[1] = -1.299
y[1] (analytic) = 0.59262700885740327438274933892457
y[1] (numeric) = 0.59262700885740859996794930647446
absolute error = 5.32558519996754989e-15
relative error = 8.9864031175956436194857800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.309
Order of pole = 4.437
x[1] = -1.298
y[1] (analytic) = 0.59354049875208110137374948436169
y[1] (numeric) = 0.59354049875208645721512817719795
absolute error = 5.35584137869283626e-15
relative error = 9.0235483340285839950293000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.308
Order of pole = 4.437
x[1] = -1.297
y[1] (analytic) = 0.59445610238911907550186956444201
y[1] (numeric) = 0.59445610238912446178643734472882
absolute error = 5.38628456778028681e-15
relative error = 9.0608617627656762746501000000001e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.307
Order of pole = 4.437
x[1] = -1.296
y[1] (analytic) = 0.59537382629492318784580056048492
y[1] (numeric) = 0.59537382629492860476186917368165
absolute error = 5.41691606861319673e-15
relative error = 9.0983443164158916520524100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.306
Order of pole = 4.437
x[1] = -1.295
y[1] (analytic) = 0.5962936770211076035791931669515
y[1] (numeric) = 0.59629367702111305131638581200989
absolute error = 5.44773719264505839e-15
relative error = 9.1359969132327716915481399999999e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.305
Order of pole = 4.437
x[1] = -1.294
y[1] (analytic) = 0.59721566114461159183653968468208
y[1] (numeric) = 0.59721566114461707058580117002603
absolute error = 5.47874926148534395e-15
relative error = 9.1738204771537348676061499999999e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.304
Order of pole = 4.437
x[1] = -1.293
y[1] (analytic) = 0.59813978526781708885366510153423
y[1] (numeric) = 0.59813978526782259880727208762
absolute error = 5.50995360698608577e-15
relative error = 9.2118159378396874945745000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.303
Order of pole = 4.437
x[1] = -1.292
y[1] (analytic) = 0.5990660560186668983055416605512
y[1] (numeric) = 0.59906605601867243965711298981385
absolute error = 5.54135157132926265e-15
relative error = 9.2499842307149416174522500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.302
Order of pole = 4.437
x[1] = -1.291
y[1] (analytic) = 0.59999448005078353279149831821547
y[1] (numeric) = 0.59999448005078910573600543321554
absolute error = 5.57294450711500007e-15
relative error = 9.2883262970074425466677400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.301
Order of pole = 4.437
x[1] = -1.29
y[1] (analytic) = 0.60092506404358870044546574997551
y[1] (numeric) = 0.60092506404359430517924320056804
absolute error = 5.60473377745059253e-15
relative error = 9.3268430837893084797655300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.3
Order of pole = 4.437
x[1] = -1.289
y[1] (analytic) = 0.60185781470242344067668077822623
y[1] (numeric) = 0.60185781470242907739743681858268
absolute error = 5.63672075604035645e-15
relative error = 9.3655355440176851295169000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.299
Order of pole = 4.437
x[1] = -1.288
y[1] (analytic) = 0.60279273875866891307427310730615
y[1] (numeric) = 0.60279273875867458198110038362807
absolute error = 5.66890682727632192e-15
relative error = 9.4044046365759178675744000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.298
Order of pole = 4.437
x[1] = -1.287
y[1] (analytic) = 0.60372984296986784353737389592905
y[1] (numeric) = 0.60372984296987354483076022570089
absolute error = 5.70129338632977184e-15
relative error = 9.4434513263150441826208000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.297
Order of pole = 4.437
x[1] = -1.286
y[1] (analytic) = 0.60466913411984663172082184210033
y[1] (numeric) = 0.60466913411985236560266108573736
absolute error = 5.73388183924363703e-15
relative error = 9.4826765840956091893029100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.296
Order of pole = 4.437
x[1] = -1.285
y[1] (analytic) = 0.60561061901883812391519997868251
y[1] (numeric) = 0.60561061901884389058880300443847
absolute error = 5.76667360302575596e-15
relative error = 9.5220813868298069108069599999999e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.295
Order of pole = 4.437
x[1] = -1.284
y[1] (analytic) = 0.60655430450360505550881717664742
y[1] (numeric) = 0.60655430450361085517892291965536
absolute error = 5.79967010574300794e-15
relative error = 9.5616667175239502413365799999999e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.294
Order of pole = 4.437
x[1] = -1.283
y[1] (analytic) = 0.60750019743756416720835434271516
y[1] (numeric) = 0.60750019743757000008114095904369
absolute error = 5.83287278661632853e-15
relative error = 9.6014335653212722299477000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.293
Order of pole = 4.437
x[1] = -1.282
y[1] (analytic) = 0.60844830471091099922422841149359
y[1] (numeric) = 0.60844830471091686550732452810984
absolute error = 5.86628309611661625e-15
relative error = 9.6413829255450617222812500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.292
Order of pole = 4.437
x[1] = -1.281
y[1] (analytic) = 0.60939863324074536765628942047409
y[1] (numeric) = 0.60939863324075126755878548201367
absolute error = 5.89990249606153958e-15
relative error = 9.6815157997421361122759600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=118.2MB, alloc=4.5MB, time=17.57
Real estimate of pole used
Radius of convergence = 1.291
Order of pole = 4.437
x[1] = -1.28
y[1] (analytic) = 0.61035118997119752734525918868458
y[1] (numeric) = 0.61035118997120346107771890193802
absolute error = 5.93373245971325344e-15
relative error = 9.7218331957266541493494400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.29
Order of pole = 4.437
x[1] = -1.279
y[1] (analytic) = 0.61130598187355502548534638430851
y[1] (numeric) = 0.61130598187356099325981826134291
absolute error = 5.96777447187703440e-15
relative error = 9.7623361276242717069648000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.289
Order of pole = 4.437
x[1] = -1.278
y[1] (analytic) = 0.61226301594639025032373406968165
y[1] (numeric) = 0.61226301594639625235376307052564
absolute error = 6.00203002900084399e-15
relative error = 9.8030256159166434762071500000001e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.288
Order of pole = 4.437
x[1] = -1.277
y[1] (analytic) = 0.61322229921568867930313417917129
y[1] (numeric) = 0.61322229921569471580377345500089
absolute error = 6.03650063927582960e-15
relative error = 9.8439026874862736036080000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.287
Order of pole = 4.437
x[1] = -1.276
y[1] (analytic) = 0.61418383873497783103434086097519
y[1] (numeric) = 0.61418383873498390222216359874773
absolute error = 6.07118782273777254e-15
relative error = 9.8849683756617182808595800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.286
Order of pole = 4.437
x[1] = -1.275
y[1] (analytic) = 0.6151476415854569255166932615497
y[1] (numeric) = 0.61514764158546303160980463104256
absolute error = 6.10609311136949286e-15
relative error = 9.9262237202631432000303600000001e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.285
Order of pole = 4.437
x[1] = -1.274
y[1] (analytic) = 0.61611371487612725705558023433269
y[1] (numeric) = 0.61611371487613339827362943855349
absolute error = 6.14121804920422080e-15
relative error = 9.9676697676482390834016000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.284
Order of pole = 4.437
x[1] = -1.273
y[1] (analytic) = 0.61708206574392328435758671545729
y[1] (numeric) = 0.61708206574392946092177914540209
absolute error = 6.17656419242994480e-15
relative error = 1.0009307570758498446744000000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.283
Order of pole = 4.437
x[1] = -1.272
y[1] (analytic) = 0.61805270135384444231559625089231
y[1] (numeric) = 0.61805270135385065444870574563824
absolute error = 6.21213310949474593e-15
relative error = 1.0051138189165856493551050000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.282
Order of pole = 4.437
x[1] = -1.271
y[1] (analytic) = 0.61902562889908768002812852457717
y[1] (numeric) = 0.61902562889909392795450973770611
absolute error = 6.24792638121312894e-15
relative error = 1.0093162689119699441091480000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.281
Order of pole = 4.437
x[1] = -1.27
y[1] (analytic) = 0.62000085560118072962940688858151
y[1] (numeric) = 0.62000085560118701357500776194168
absolute error = 6.28394560087336017e-15
relative error = 1.0135382143594243491553170000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.28
Order of pole = 4.437
x[1] = -1.269
y[1] (analytic) = 0.62097838871011611053912101751035
y[1] (numeric) = 0.62097838871012243073149536333302
absolute error = 6.32019237434582267e-15
relative error = 1.0177797632336287686506540000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.279
Order of pole = 4.437
x[1] = -1.268
y[1] (analytic) = 0.62195823550448587377357610436459
y[1] (numeric) = 0.62195823550449223044189629676339
absolute error = 6.35666832019239880e-15
relative error = 1.0220410241913343600610000000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.278
Order of pole = 4.437
x[1] = -1.267
y[1] (analytic) = 0.62294040329161709099290470880651
y[1] (numeric) = 0.62294040329162348436797448569768
absolute error = 6.39337506977689117e-15
relative error = 1.0263221065762145626289300000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.277
Order of pole = 4.437
x[1] = -1.266
y[1] (analytic) = 0.62392489940770809299226270732244
y[1] (numeric) = 0.62392489940771452330653008381481
absolute error = 6.43031426737649237e-15
relative error = 1.0306231204237544781464090000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.276
Order of pole = 4.437
x[1] = -1.265
y[1] (analytic) = 0.62491173121796546237843904548483
y[1] (numeric) = 0.62491173121797192986600933979919
absolute error = 6.46748757029431436e-15
relative error = 1.0349441764661789491045360000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.275
Order of pole = 4.437
x[1] = -1.264
y[1] (analytic) = 0.62590090611674178520708244429325
y[1] (numeric) = 0.62590090611674829010373141728181
absolute error = 6.50489664897298856e-15
relative error = 1.0392853861374196903346320000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.274
Order of pole = 4.437
x[1] = -1.263
y[1] (analytic) = 0.62689243152767416638978917607528
y[1] (numeric) = 0.62689243152768070893297628542263
absolute error = 6.54254318710934735e-15
relative error = 1.0436468615781217612299500000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.273
Order of pole = 4.437
x[1] = -1.262
y[1] (analytic) = 0.62788631490382351371460683328676
y[1] (numeric) = 0.62788631490383009414348860348544
absolute error = 6.58042888177019868e-15
relative error = 1.0480287156406898076708600000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.272
Order of pole = 4.437
x[1] = -1.261
y[1] (analytic) = 0.62888256372781459535809202061225
y[1] (numeric) = 0.62888256372782121391353552981672
absolute error = 6.61855544350920447e-15
relative error = 1.0524310618943743230245340000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.271
Order of pole = 4.437
x[1] = -1.26
y[1] (analytic) = 0.62988118551197687580191748430494
y[1] (numeric) = 0.62988118551198353272651396917968
absolute error = 6.65692459648487474e-15
relative error = 1.0568540146303983622098740000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.27
Order of pole = 4.437
x[1] = -1.259
y[1] (analytic) = 0.63088218779848613510215875267021
y[1] (numeric) = 0.63088218779849283064023733235893
absolute error = 6.69553807857968872e-15
relative error = 1.0612976888671250155675040000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.269
Order of pole = 4.437
x[1] = -1.258
y[1] (analytic) = 0.63188557815950687649480432083358
y[1] (numeric) = 0.63188557815951361089244584118816
absolute error = 6.73439764152035458e-15
relative error = 1.0657622003552659945897700000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.268
Order of pole = 4.437
memory used=122.0MB, alloc=4.5MB, time=18.14
x[1] = -1.257
y[1] (analytic) = 0.63289136419733552735672921742983
y[1] (numeric) = 0.63289136419734230086178021664966
absolute error = 6.77350505099921983e-15
relative error = 1.0702476655831317292391500000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.267
Order of pole = 4.437
x[1] = -1.256
y[1] (analytic) = 0.63389955354454443857735190997105
y[1] (numeric) = 0.6338995535445512514394387068152
absolute error = 6.81286208679684415e-15
relative error = 1.0747542017819233129858550000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.266
Order of pole = 4.437
x[1] = -1.255
y[1] (analytic) = 0.6349101538641266874324614323827
y[1] (numeric) = 0.63491015386413353990300433812935
absolute error = 6.85247054290574665e-15
relative error = 1.0792819269310666523162900000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.265
Order of pole = 4.437
x[1] = -1.254
y[1] (analytic) = 0.63592317284964168908825786939028
y[1] (numeric) = 0.63592317284964858142048552473024
absolute error = 6.89233222765533996e-15
relative error = 1.0838309597635892227879320000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.264
Order of pole = 4.437
x[1] = -1.253
y[1] (analytic) = 0.63693861822536162190049744906083
y[1] (numeric) = 0.6369386182253685543494612871242
absolute error = 6.93244896383806337e-15
relative error = 1.0884014197715397871533700000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.263
Order of pole = 4.437
x[1] = -1.252
y[1] (analytic) = 0.63795649774641867171077604218168
y[1] (numeric) = 0.63795649774642564453336487890912
absolute error = 6.97282258883672744e-15
relative error = 1.0929934272114514445837200000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.262
Order of pole = 4.437
x[1] = -1.251
y[1] (analytic) = 0.63897681919895310037942443524034
y[1] (numeric) = 0.63897681919896011383437918832321
absolute error = 7.01345495475308287e-15
relative error = 1.0976071031098484197715740000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.261
Order of pole = 4.437
x[1] = -1.25
y[1] (analytic) = 0.63999959040026214383222794737411
y[1] (numeric) = 0.63999959040026919818015648500036
absolute error = 7.05434792853762625e-15
relative error = 1.1022425692687969553251250000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.26
Order of pole = 4.437
x[1] = -1.249
y[1] (analytic) = 0.6410248191989497449362244407379
y[1] (numeric) = 0.64102481919895684043961656139344
absolute error = 7.09550339212065554e-15
relative error = 1.1068999482715006883711080000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.259
Order of pole = 4.437
x[1] = -1.248
y[1] (analytic) = 0.64205251347507712655818119363983
y[1] (numeric) = 0.64205251347508426348142373822847
absolute error = 7.13692324254458864e-15
relative error = 1.1115793634879409529743200000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.258
Order of pole = 4.437
x[1] = -1.247
y[1] (analytic) = 0.6430826811403142101980051575231
y[1] (numeric) = 0.64308268114032138880739725508087
absolute error = 7.17860939209755777e-15
relative error = 1.1162809390805623307927700000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.257
Order of pole = 4.437
x[1] = -1.246
y[1] (analytic) = 0.64411533013809188562830551935985
y[1] (numeric) = 0.64411533013809910619207396765326
absolute error = 7.22056376844829341e-15
relative error = 1.1210048000100039140012970000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.256
Order of pole = 4.437
x[1] = -1.245
y[1] (analytic) = 0.64515046844375513701060498340028
y[1] (numeric) = 0.64515046844376239979891976571139
absolute error = 7.26278831478231111e-15
relative error = 1.1257510720408766560588860000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.255
Order of pole = 4.437
x[1] = -1.244
y[1] (analytic) = 0.64618810406471703099828954008854
y[1] (numeric) = 0.64618810406472433628327947950336
absolute error = 7.30528498993941482e-15
relative error = 1.1305198817475872192298340000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.254
Order of pole = 4.437
x[1] = -1.243
y[1] (analytic) = 0.64722824504061357237629850166661
y[1] (numeric) = 0.64722824504062092043206705419718
absolute error = 7.34805576855253057e-15
relative error = 1.1353113565202087357178500000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.253
Order of pole = 4.437
x[1] = -1.242
y[1] (analytic) = 0.64827089944345943282779007691734
y[1] (numeric) = 0.64827089944346682393043126480178
absolute error = 7.39110264118788444e-15
relative error = 1.1401256245703988961188600000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.252
Order of pole = 4.437
x[1] = -1.241
y[1] (analytic) = 0.64931607537780455845857558233912
y[1] (numeric) = 0.64931607537781199288619006887809
absolute error = 7.43442761448653897e-15
relative error = 1.1449628149373657909995540000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.251
Order of pole = 4.437
x[1] = -1.24
y[1] (analytic) = 0.65036378098089166175100042208609
y[1] (numeric) = 0.65036378098089913978371172938828
absolute error = 7.47803271130730219e-15
relative error = 1.1498230574938819154646190000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.25
Order of pole = 4.437
x[1] = -1.239
y[1] (analytic) = 0.65141402442281460366016512042691
y[1] (numeric) = 0.65141402442282212558013599145073
absolute error = 7.52191997087102382e-15
relative error = 1.1547064829523467828606040000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.249
Order of pole = 4.437
x[1] = -1.238
y[1] (analytic) = 0.65246681390667767160692789263006
y[1] (numeric) = 0.65246681390668523769837679892325
absolute error = 7.56609144890629319e-15
relative error = 1.1596132228708985726187550000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.248
Order of pole = 4.437
x[1] = -1.237
y[1] (analytic) = 0.65352215766875575916401445591013
y[1] (numeric) = 0.65352215766876336971323225246369
absolute error = 7.61054921779655356e-15
relative error = 1.1645434096595752360905200000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.247
Order of pole = 4.437
x[1] = -1.236
y[1] (analytic) = 0.65458006397865545327378400297965
y[1] (numeric) = 0.65458006397866310856915073162759
absolute error = 7.65529536672864794e-15
relative error = 1.1694971765865255271994180000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.246
Order of pole = 4.437
x[1] = -1.235
y[1] (analytic) = 0.6556405411394770348787655075379
y[1] (numeric) = 0.65564054113948473521076735034924
absolute error = 7.70033200184281134e-15
relative error = 1.1744746577842703768862840000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.245
Order of pole = 4.437
x[1] = -1.234
y[1] (analytic) = 0.65670359748797739888898885376984
y[1] (numeric) = 0.6567035974879851445502352378947
absolute error = 7.74566124638412486e-15
relative error = 1.1794759882560150819439020000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
memory used=125.8MB, alloc=4.5MB, time=18.72
Real estimate of pole used
Radius of convergence = 1.244
Order of pole = 4.437
x[1] = -1.233
y[1] (analytic) = 0.65776924139473389945339376040098
y[1] (numeric) = 0.65776924139474169073863461584792
absolute error = 7.79128524085544694e-15
relative error = 1.1845013038820127428412600000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.243
Order of pole = 4.437
x[1] = -1.232
y[1] (analytic) = 0.65883748126430912654620921384218
y[1] (numeric) = 0.65883748126431696375235238567971
absolute error = 7.83720614317183753e-15
relative error = 1.1895507414259794298972250000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.242
Order of pole = 4.437
x[1] = -1.231
y[1] (analytic) = 0.65990832553541661992316027457466
y[1] (numeric) = 0.6599083255354245033492890910655
absolute error = 7.88342612881649084e-15
relative error = 1.1946244385415615192284080000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.241
Order of pole = 4.437
x[1] = -1.23
y[1] (analytic) = 0.66098178268108752654668084692918
y[1] (numeric) = 0.66098178268109545649407184512192
absolute error = 7.92994739099819274e-15
relative error = 1.1997225337788556794538740000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.24
Order of pole = 4.437
x[1] = -1.229
y[1] (analytic) = 0.6620578612088382076239935065365
y[1] (numeric) = 0.66205786120884618439613431685547
absolute error = 7.97677214081031897e-15
relative error = 1.2048451665909819805684740000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.239
Order of pole = 4.437
x[1] = -1.228
y[1] (analytic) = 0.66313656966083880144696399499995
y[1] (numeric) = 0.66313656966084682534957138639039
absolute error = 8.02390260739139044e-15
relative error = 1.2099924773407105912663400000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.238
Order of pole = 4.437
x[1] = -1.227
y[1] (analytic) = 0.66421791661408274826805178242878
y[1] (numeric) = 0.66421791661409081960908986963103
absolute error = 8.07134103808720225e-15
relative error = 1.2151646073071425603442500000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.237
Order of pole = 4.437
x[1] = -1.226
y[1] (analytic) = 0.66530191068055728349246246200294
y[1] (numeric) = 0.66530191068056540258216107654599
absolute error = 8.11908969861454305e-15
relative error = 1.2203616986924451523964850000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.236
Order of pole = 4.437
x[1] = -1.225
y[1] (analytic) = 0.66638856050741490551276600565364
y[1] (numeric) = 0.66638856050742307266363923217537
absolute error = 8.16715087322652173e-15
relative error = 1.2255838946286422397602980000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.235
Order of pole = 4.437
x[1] = -1.224
y[1] (analytic) = 0.66747787477714582455878043782544
y[1] (numeric) = 0.66747787477715404008564531734401
absolute error = 8.21552686487951857e-15
relative error = 1.2308313391844602492646890000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.234
Order of pole = 4.437
x[1] = -1.223
y[1] (analytic) = 0.6685698622077513989824366697198
y[1] (numeric) = 0.66856986220775966320243207149781
absolute error = 8.26421999540177801e-15
relative error = 1.2361041773722301422897300000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.233
Order of pole = 4.437
x[1] = -1.222
y[1] (analytic) = 0.66966453155291856544464050733785
y[1] (numeric) = 0.66966453155292687867724617099858
absolute error = 8.31323260566366073e-15
relative error = 1.2414025551548459613198050000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.232
Order of pole = 4.437
x[1] = -1.221
y[1] (analytic) = 0.67076189160219526951883566467808
y[1] (numeric) = 0.67076189160220363208589141425071
absolute error = 8.36256705574957263e-15
relative error = 1.2467266194527804358854460000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.231
Order of pole = 4.437
x[1] = -1.22
y[1] (analytic) = 0.67186195118116690327405047430094
y[1] (numeric) = 0.67186195118117531549977560588958
absolute error = 8.41222572513158864e-15
relative error = 1.2520765181511581663364640000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.23
Order of pole = 4.437
x[1] = -1.219
y[1] (analytic) = 0.67296471915163375644868442127053
y[1] (numeric) = 0.67296471915164221865969726606
absolute error = 8.46221101284478947e-15
relative error = 1.2574524001068869050420140000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.229
Order of pole = 4.437
x[1] = -1.218
y[1] (analytic) = 0.67407020441178948787516219814294
y[1] (numeric) = 0.67407020441179800040049986247264
absolute error = 8.51252533766432970e-15
relative error = 1.2628544151558474718192500000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.228
Order of pole = 4.437
x[1] = -1.217
y[1] (analytic) = 0.67517841589640062386485628827418
y[1] (numeric) = 0.67517841589640918703599457252976
absolute error = 8.56317113828425558e-15
relative error = 1.2682827141201428096982200000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.227
Order of pole = 4.437
x[1] = -1.216
y[1] (analytic) = 0.67628936257698709031235776789343
y[1] (numeric) = 0.6762893625769957044632312659849
absolute error = 8.61415087349809147e-15
relative error = 1.2737374488154067438755790000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.226
Order of pole = 4.437
x[1] = -1.215
y[1] (analytic) = 0.67740305346200378532826274567715
y[1] (numeric) = 0.67740305346201245079528512689087
absolute error = 8.66546702238121372e-15
relative error = 1.2792187720581729605020720000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.225
Order of pole = 4.437
x[1] = -1.214
y[1] (analytic) = 0.67851949759702319926014233982021
y[1] (numeric) = 0.67851949759703191638222681485159
absolute error = 8.71712208447503138e-15
relative error = 1.2847268376733047822749860000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.224
Order of pole = 4.437
x[1] = -1.213
y[1] (analytic) = 0.67963870406491908901228107138245
y[1] (numeric) = 0.67963870406492785813086104437535
absolute error = 8.76911857997299290e-15
relative error = 1.2902618005014862563273000000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.223
Order of pole = 4.437
x[1] = -1.212
y[1] (analytic) = 0.6807606819860512136261058106328
y[1] (numeric) = 0.68076068198606003508515571907139
absolute error = 8.82145904990843859e-15
relative error = 1.2958238164067751324587550000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.222
Order of pole = 4.437
x[1] = -1.211
y[1] (analytic) = 0.68188544051845113813498876934679
y[1] (numeric) = 0.68188544051846001228104511366558
absolute error = 8.87414605634431879e-15
relative error = 1.3014130422842183080548380000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.221
Order of pole = 4.437
x[1] = -1.21
y[1] (analytic) = 0.68301298885800911275929734355758
y[1] (numeric) = 0.68301298885801803994147990835514
absolute error = 8.92718218256479756e-15
relative error = 1.3070296360675302672393560000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
memory used=129.7MB, alloc=4.5MB, time=19.32
Real estimate of pole used
Radius of convergence = 1.22
Order of pole = 4.437
x[1] = -1.209
y[1] (analytic) = 0.68414333623866203456018477343225
y[1] (numeric) = 0.68414333623867101513021804219477
absolute error = 8.98057003326876252e-15
relative error = 1.3126737567368351337758640000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.219
Order of pole = 4.437
x[1] = -1.208
y[1] (analytic) = 0.68527649193258249872367253377556
y[1] (numeric) = 0.68527649193259153303590729903675
absolute error = 9.03431223476526119e-15
relative error = 1.3183455643264728870425350000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.218
Order of pole = 4.437
x[1] = -1.207
y[1] (analytic) = 0.68641246525036894670007207330885
y[1] (numeric) = 0.68641246525037803511150724419354
absolute error = 9.08841143517088469e-15
relative error = 1.3240452199328703360626500000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.217
Order of pole = 4.437
x[1] = -1.206
y[1] (analytic) = 0.68755126554123691847773399604108
y[1] (numeric) = 0.68755126554124606134803860516097
absolute error = 9.14287030460911989e-15
relative error = 1.3297728857224774505451930000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.216
Order of pole = 4.437
x[1] = -1.205
y[1] (analytic) = 0.68869290219321141632450107642701
y[1] (numeric) = 0.68869290219322061401603648811818
absolute error = 9.19769153541169117e-15
relative error = 1.3355287249397696282810420000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.215
Order of pole = 4.437
x[1] = -1.204
y[1] (analytic) = 0.6898373846333203873850817146874
y[1] (numeric) = 0.68983738463332964026292403660088
absolute error = 9.25287784232191348e-15
relative error = 1.3413129019153165253137160000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.214
Order of pole = 4.437
x[1] = -1.203
y[1] (analytic) = 0.69098472232778933257785670358828
y[1] (numeric) = 0.69098472232779864100981940366662
absolute error = 9.30843196270007834e-15
relative error = 1.3471255820739180374431400000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.213
Order of pole = 4.437
x[1] = -1.202
y[1] (analytic) = 0.69213492478223704929038866836701
y[1] (numeric) = 0.69213492478224641364704539926188
absolute error = 9.36435665673089487e-15
relative error = 1.3529669319428080562650350000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.212
Order of pole = 4.437
x[1] = -1.201
y[1] (analytic) = 0.69328800154187251542912447431437
y[1] (numeric) = 0.69328800154188193608383210732259
absolute error = 9.42065470763300822e-15
relative error = 1.3588371191599266322544440000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.211
Order of pole = 4.437
x[1] = -1.2
y[1] (analytic) = 0.69444396219169292243547053092324
y[1] (numeric) = 0.69444396219170239976439240154105
absolute error = 9.47732892187061781e-15
relative error = 1.3647363124822611517017810000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.21
Order of pole = 4.437
x[1] = -1.199
y[1] (analytic) = 0.69560281635668286493758355928831
y[1] (numeric) = 0.69560281635669239931971292650661
absolute error = 9.53438212936721830e-15
relative error = 1.3706646817942571762516600000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.209
Order of pole = 4.437
x[1] = -1.198
y[1] (analytic) = 0.69676457370201469476485937548991
y[1] (numeric) = 0.69676457370202428658204309697626
absolute error = 9.59181718372148635e-15
relative error = 1.3766223981162995816951750000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.208
Order of pole = 4.437
x[1] = -1.197
y[1] (analytic) = 0.69792924393325004711022396549438
y[1] (numeric) = 0.69792924393325969674718639083093
absolute error = 9.64963696242533655e-15
relative error = 1.3826096336132646462205500000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.207
Order of pole = 4.437
x[1] = -1.196
y[1] (analytic) = 0.69909683679654254668393901918112
y[1] (numeric) = 0.69909683679655225452830610335119
absolute error = 9.70784436708417007e-15
relative error = 1.3886265616031437299019190000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.206
Order of pole = 4.437
x[1] = -1.195
y[1] (analytic) = 0.70026736207884170176173262951795
y[1] (numeric) = 0.700267362078851468204056268858
absolute error = 9.76644232363934005e-15
relative error = 1.3946733565657392214241300000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.205
Order of pole = 4.437
x[1] = -1.194
y[1] (analytic) = 0.70144082960809799408965956972217
y[1] (numeric) = 0.70144082960810781952344216257999
absolute error = 9.82543378259285782e-15
relative error = 1.4007501941514334043931340000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.204
Order of pole = 4.437
x[1] = -1.193
y[1] (analytic) = 0.70261724925346917266818900404005
y[1] (numeric) = 0.7026172492534790574899082384046
absolute error = 9.88482171923436455e-15
relative error = 1.4068572511900309345787500000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.203
Order of pole = 4.437
x[1] = -1.192
y[1] (analytic) = 0.70379663092552775949861528012865
y[1] (numeric) = 0.70379663092553770410774915052152
absolute error = 9.94460913387039287e-15
relative error = 1.4129947056996755765232550000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.202
Order of pole = 4.437
x[1] = -1.191
y[1] (analytic) = 0.70497898457646977543599425301132
y[1] (numeric) = 0.7049789845764797802350463089551
absolute error = 1.000479905205594378e-14
relative error = 1.4191627368958419244941960000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.201
Order of pole = 4.437
x[1] = -1.19
y[1] (analytic) = 0.70616432020032469435442810929446
y[1] (numeric) = 0.70616432020033475974895293769852
absolute error = 1.006539452482840406e-14
relative error = 1.4253615252004027817770060000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.2
Order of pole = 4.437
x[1] = -1.189
y[1] (analytic) = 0.70735264783316663389266065039661
y[1] (numeric) = 0.70735264783317676029128959422632
absolute error = 1.012639862894382971e-14
relative error = 1.4315912522507728825280620000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.199
Order of pole = 4.437
x[1] = -1.188
y[1] (analytic) = 0.70854397755332679111060725761596
y[1] (numeric) = 0.70854397755333697892507437323765
absolute error = 1.018781446711562169e-14
relative error = 1.4378521009091297094073050000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.198
Order of pole = 4.437
x[1] = -1.187
y[1] (analytic) = 0.70973831948160713145063415118846
y[1] (numeric) = 0.70973831948161738109580240680836
absolute error = 1.024964516825561990e-14
relative error = 1.4441442552717120770503000000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.197
Order of pole = 4.437
memory used=133.5MB, alloc=4.5MB, time=19.91
x[1] = -1.186
y[1] (analytic) = 0.7109356837814953394611249704073
y[1] (numeric) = 0.71093568378150565135501268804943
absolute error = 1.031189388771764213e-14
relative error = 1.4504679006781972267131610000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.196
Order of pole = 4.437
x[1] = -1.185
y[1] (analytic) = 0.71213608065938103980413409237544
y[1] (numeric) = 0.71213608065939141436794163587028
absolute error = 1.037456380754349484e-14
relative error = 1.4568232237211571585193840000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.194
Order of pole = 4.437
x[1] = -1.184
y[1] (analytic) = 0.7133395203647732971337304732223
y[1] (numeric) = 0.71333952036478373479186718470526
absolute error = 1.043765813671148296e-14
relative error = 1.4632104122555949367856720000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.193
Order of pole = 4.437
x[1] = -1.183
y[1] (analytic) = 0.7145460131905194034969881885544
y[1] (numeric) = 0.71454601319052990467709957600063
absolute error = 1.050118011138744623e-14
relative error = 1.4696296554085617124422700000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.192
Order of pole = 4.437
x[1] = -1.182
y[1] (analytic) = 0.71575556947302496197548537174555
y[1] (numeric) = 0.71575556947303552710848055009549
absolute error = 1.056513299517834994e-14
relative error = 1.4760811435888552159922500000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.191
Order of pole = 4.437
x[1] = -1.181
y[1] (analytic) = 0.71696819959247527535163705349013
y[1] (numeric) = 0.71696819959248590487171644194839
absolute error = 1.062952007938845826e-14
relative error = 1.4825650684968004819634120000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.19
Order of pole = 4.437
x[1] = -1.18
y[1] (analytic) = 0.7181839139730580486512147003629
y[1] (numeric) = 0.71818391397306874299589797848153
absolute error = 1.069434468327811863e-14
relative error = 1.4890816231341135658530630000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.189
Order of pole = 4.437
x[1] = -1.179
y[1] (analytic) = 0.7194027230831874144810012934861
y[1] (numeric) = 0.71940272308319817409115561867226
absolute error = 1.075961015432518616e-14
relative error = 1.4956310018138490420218720000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.188
Order of pole = 4.437
x[1] = -1.178
y[1] (analytic) = 0.72062463743572929014870089393486
y[1] (numeric) = 0.720624637435740115468569383052
absolute error = 1.082531986848911714e-14
relative error = 1.5022134001704320518420900000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.187
Order of pole = 4.437
x[1] = -1.177
y[1] (analytic) = 0.72184966758822807562097117654277
y[1] (numeric) = 0.721849667588238967098201654304
absolute error = 1.089147723047776123e-14
relative error = 1.5088290151697756964755900000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.186
Order of pole = 4.437
x[1] = -1.176
y[1] (analytic) = 0.7230778241431347014447818004204
y[1] (numeric) = 0.72307782414314565953045581730273
absolute error = 1.095808567401688233e-14
relative error = 1.5154780451194845874096410000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.185
Order of pole = 4.437
x[1] = -1.175
y[1] (analytic) = 0.72430911774803603582722620028885
y[1] (numeric) = 0.72430911774804706097588832272712
absolute error = 1.102514866212243827e-14
relative error = 1.5221606896791453458957020000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.184
Order of pole = 4.437
x[1] = -1.174
y[1] (analytic) = 0.72554355909588566013943496118705
y[1] (numeric) = 0.72554355909589675280912233683696
absolute error = 1.109266968737564991e-14
relative error = 1.5288771498707048631005070000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.183
Order of pole = 4.437
x[1] = -1.173
y[1] (analytic) = 0.7267811589252360221813609703982
y[1] (numeric) = 0.72678115892524718283363317128906
absolute error = 1.116065227220089086e-14
relative error = 1.5356276280889371760999800000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.182
Order of pole = 4.437
x[1] = -1.172
y[1] (analytic) = 0.72802192802047197661593567198244
y[1] (numeric) = 0.72802192802048320571590481841127
absolute error = 1.122909996914642883e-14
relative error = 1.5424123281119997444455550000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.181
Order of pole = 4.437
x[1] = -1.171
y[1] (analytic) = 0.72926587721204572205343768641859
y[1] (numeric) = 0.72926587721205702006979885446932
absolute error = 1.129801636116805073e-14
relative error = 1.5492314551120800219106660000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.18
Order of pole = 4.437
x[1] = -1.17
y[1] (analytic) = 0.73051301737671314433987556441262
y[1] (numeric) = 0.73051301737672451174493748001591
absolute error = 1.136740506191560329e-14
relative error = 1.5560852156661331259284290000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.179
Order of pole = 4.437
x[1] = -1.169
y[1] (analytic) = 0.73176335943777157567677134297602
y[1] (numeric) = 0.73176335943778301294648736545793
absolute error = 1.143726971602248191e-14
relative error = 1.5629738177667114923893420000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.178
Order of pole = 4.437
x[1] = -1.168
y[1] (analytic) = 0.73301691436529897927394674632117
y[1] (numeric) = 0.73301691436531048688794614442174
absolute error = 1.150761399939810057e-14
relative error = 1.5698974708328873750108250000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.177
Order of pole = 4.437
x[1] = -1.167
y[1] (analytic) = 0.73427369317639456931176526738577
y[1] (numeric) = 0.73427369317640614775338479076183
absolute error = 1.157844161952337606e-14
relative error = 1.5768563857212690622353400000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.176
Order of pole = 4.437
x[1] = -1.166
y[1] (analytic) = 0.73553370693542087606477698250239
y[1] (numeric) = 0.73553370693543252582109273176264
absolute error = 1.164975631574926025e-14
relative error = 1.5838507747371117017709250000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.175
Order of pole = 4.437
x[1] = -1.165
y[1] (analytic) = 0.73679696675424726611485485836552
y[1] (numeric) = 0.73679696675425898767671445671998
absolute error = 1.172156185959835446e-14
relative error = 1.5908808516455236230327960000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.174
Order of pole = 4.437
x[1] = -1.164
y[1] (analytic) = 0.73806348379249492765870763607861
y[1] (numeric) = 0.73806348379250672152076270571908
absolute error = 1.179386205506964047e-14
relative error = 1.5979468316827690663881590000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.173
Order of pole = 4.437
x[1] = -1.163
y[1] (analytic) = 0.73933326925778333099211131401702
y[1] (numeric) = 0.73933326925779519765285026038005
absolute error = 1.186666073894636303e-14
relative error = 1.6050489315676682243487100000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.172
Order of pole = 4.437
memory used=137.3MB, alloc=4.5MB, time=20.50
x[1] = -1.162
y[1] (analytic) = 0.7406063344059781743313250558232
y[1] (numeric) = 0.74060633440599011429310616292252
absolute error = 1.193996178110709932e-14
relative error = 1.6121873695130955321333400000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.171
Order of pole = 4.437
x[1] = -1.161
y[1] (analytic) = 0.74188269054144082521095434305546
y[1] (numeric) = 0.7418826905414528389800391831064
absolute error = 1.201376908484005094e-14
relative error = 1.6193623652375771143146680000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.17
Order of pole = 4.437
x[1] = -1.16
y[1] (analytic) = 0.74316234901727926777700076025508
y[1] (numeric) = 0.74316234901729135586358792084996
absolute error = 1.208808658716059488e-14
relative error = 1.6265741399769883631122880000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.169
Order of pole = 4.437
x[1] = -1.159
y[1] (analytic) = 0.74444532123560056637400039604491
y[1] (numeric) = 0.74444532123561272929225952817474
absolute error = 1.216291825913212983e-14
relative error = 1.6338229164963525622302060000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.168
Order of pole = 4.437
x[1] = -1.158
y[1] (analytic) = 0.74573161864776485590600798678564
y[1] (numeric) = 0.74573161864777709417411417704081
absolute error = 1.223826810619025517e-14
relative error = 1.6411089191017415524039050000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.167
Order of pole = 4.437
x[1] = -1.157
y[1] (analytic) = 0.74702125275464086953273820640197
y[1] (numeric) = 0.74702125275465318367290667672197
absolute error = 1.231414016847032000e-14
relative error = 1.6484323736522793868000000000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.166
Order of pole = 4.437
x[1] = -1.156
y[1] (analytic) = 0.74831423510686301434443557276346
y[1] (numeric) = 0.74831423510687540488295671114366
absolute error = 1.239053852113838020e-14
relative error = 1.6557935075722499581327400000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.165
Order of pole = 4.437
x[1] = -1.155
y[1] (analytic) = 0.74961057730509000574201702215699
y[1] (numeric) = 0.74961057730510247320929174775917
absolute error = 1.246746727472560218e-14
relative error = 1.6631925498633096173776680000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.164
Order of pole = 4.437
x[1] = -1.154
y[1] (analytic) = 0.75091029100026507133272309357018
y[1] (numeric) = 0.75091029100027761626329855972205
absolute error = 1.254493057546615187e-14
relative error = 1.6706297311168057369860790000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.163
Order of pole = 4.437
x[1] = -1.153
y[1] (analytic) = 0.75221338789387773523593172911291
y[1] (numeric) = 0.75221338789389035816853736772163
absolute error = 1.262293260563860872e-14
relative error = 1.6781052835262022818455200000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.162
Order of pole = 4.437
x[1] = -1.152
y[1] (analytic) = 0.7535198797382271937789398728812
y[1] (numeric) = 0.75351987973823989525652378382549
absolute error = 1.270147758391094429e-14
relative error = 1.6856194408996133721980450000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.161
Order of pole = 4.437
x[1] = -1.151
y[1] (analytic) = 0.75482977833668729364840934720811
y[1] (numeric) = 0.75482977833670007421817503631413
absolute error = 1.278056976568910602e-14
relative error = 1.6931724386724459033508040000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.16
Order of pole = 4.437
x[1] = -1.15
y[1] (analytic) = 0.75614309554397312364981198501929
y[1] (numeric) = 0.75614309554398598386325545426603
absolute error = 1.286021344346924674e-14
relative error = 1.7007645139201522282896740000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.159
Order of pole = 4.437
x[1] = -1.149
y[1] (analytic) = 0.75745984326640923131460185638258
y[1] (numeric) = 0.7574598432664221717275490500242
absolute error = 1.294041294719364162e-14
relative error = 1.7083959053710940054007240000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.158
Order of pole = 4.437
x[1] = -1.148
y[1] (analytic) = 0.75878003346219947568299687762016
y[1] (numeric) = 0.75878003346221249685564148795426
absolute error = 1.302117264461033410e-14
relative error = 1.7160668534195182362060500000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.157
Order of pole = 4.437
x[1] = -1.147
y[1] (analytic) = 0.76010367814169852767917543952995
y[1] (numeric) = 0.76010367814171163017611707608332
absolute error = 1.310249694163655337e-14
relative error = 1.7237776001386465979105700000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.156
Order of pole = 4.437
x[1] = -1.146
y[1] (analytic) = 0.7614307893676850295853933208814
y[1] (numeric) = 0.76143078936769821397567604682756
absolute error = 1.318439028272594616e-14
relative error = 1.7315283892938791433012720000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.155
Order of pole = 4.437
x[1] = -1.145
y[1] (analytic) = 0.7627613792556364252120095253641
y[1] (numeric) = 0.76276137925564969206916076503041
absolute error = 1.326685715123966631e-14
relative error = 1.7393194663561134763734060000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.154
Order of pole = 4.437
x[1] = -1.144
y[1] (analytic) = 0.76409545997400547245168433382719
y[1] (numeric) = 0.76409545997401882235375415519327
absolute error = 1.334990206982136608e-14
relative error = 1.7471510785151805179440960000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.153
Order of pole = 4.437
x[1] = -1.143
y[1] (analytic) = 0.76543304374449844999808641739064
y[1] (numeric) = 0.76543304374451188352768719352423
absolute error = 1.343352960077613359e-14
relative error = 1.7550234746933979728655500000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.152
Order of pole = 4.437
x[1] = -1.142
y[1] (analytic) = 0.76677414284235507010232600936231
y[1] (numeric) = 0.76677414284236858784667246278387
absolute error = 1.351774434645342156e-14
relative error = 1.7629369055592426528797400000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.151
Order of pole = 4.437
x[1] = -1.141
y[1] (analytic) = 0.76811876959663010933402566438433
y[1] (numeric) = 0.76811876959664371188497529839706
absolute error = 1.360255094963401273e-14
relative error = 1.7708916235411427760957860000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.15
Order of pole = 4.437
x[1] = -1.14
y[1] (analytic) = 0.76946693639047676940845690331109
y[1] (numeric) = 0.76946693639049045736255082437944
absolute error = 1.368795409392106835e-14
relative error = 1.7788878828413914348728350000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.149
Order of pole = 4.437
x[1] = -1.139
y[1] (analytic) = 0.77081865566143178023651799630315
y[1] (numeric) = 0.77081865566144555419502213160937
absolute error = 1.377395850413530622e-14
relative error = 1.7869259394501823735942840000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
memory used=141.1MB, alloc=4.5MB, time=21.10
Real estimate of pole used
Radius of convergence = 1.148
Order of pole = 4.437
x[1] = -1.138
y[1] (analytic) = 0.77217393990170225745051330262655
y[1] (numeric) = 0.77217393990171611801946001698227
absolute error = 1.386056894671435572e-14
relative error = 1.7950060511597692803407400000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.147
Order of pole = 4.437
x[1] = -1.137
y[1] (analytic) = 0.77353280165845432675572607656428
y[1] (numeric) = 0.77353280165846827454595619290193
absolute error = 1.394779023011633765e-14
relative error = 1.8031284775787497823790500000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.146
Order of pole = 4.437
x[1] = -1.136
y[1] (analytic) = 0.77489525353410352755566266329949
y[1] (numeric) = 0.77489525353411756318286789101678
absolute error = 1.403562720522771729e-14
relative error = 1.8112934801464753479593130000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.145
Order of pole = 4.437
x[1] = -1.135
y[1] (analytic) = 0.77626130818660700839759483196271
y[1] (numeric) = 0.77626130818662113248236060744256
absolute error = 1.412408476577547985e-14
relative error = 1.8195013221475883305246100000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.144
Order of pole = 4.437
x[1] = -1.134
y[1] (analytic) = 0.77763097832975752688464699830554
y[1] (numeric) = 0.77763097832977174005249574198342
absolute error = 1.421316784874367788e-14
relative error = 1.8277522687266873775531160000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.143
Order of pole = 4.437
x[1] = -1.133
y[1] (analytic) = 0.77900427673347926680117473844931
y[1] (numeric) = 0.77900427673349356968260953285033
absolute error = 1.430288143479440102e-14
relative error = 1.8360465869031224645363800000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.142
Order of pole = 4.437
x[1] = -1.132
y[1] (analytic) = 0.78038121622412548529956883937804
y[1] (numeric) = 0.78038121622413987853011753259687
absolute error = 1.439323054869321883e-14
relative error = 1.8443845455859207939232750000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.141
Order of pole = 4.437
x[1] = -1.131
y[1] (analytic) = 0.78176180968477800309890381359046
y[1] (numeric) = 0.78176180968479248731916355273895
absolute error = 1.448422025973914849e-14
relative error = 1.8527664155888448660765380000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.14
Order of pole = 4.437
x[1] = -1.13
y[1] (analytic) = 0.78314607005554855074904005870463
y[1] (numeric) = 0.78314607005556312660472225790388
absolute error = 1.457585568219919925e-14
relative error = 1.8611924696455839721524250000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.139
Order of pole = 4.437
x[1] = -1.129
y[1] (analytic) = 0.78453401033388198411789349480089
y[1] (numeric) = 0.78453401033389665225986924234766
absolute error = 1.466814197574754677e-14
relative error = 1.8696629824250804510006340000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.138
Order of pole = 4.437
x[1] = -1.128
y[1] (analytic) = 0.78592564357486138236461448382369
y[1] (numeric) = 0.78592564357487614344896039321422
absolute error = 1.476108434590939053e-14
relative error = 1.8781782305469919869514050000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.137
Order of pole = 4.437
x[1] = -1.127
y[1] (analytic) = 0.78732098289151504176737814239487
y[1] (numeric) = 0.78732098289152989645542265194363
absolute error = 1.485468804450954876e-14
relative error = 1.8867384925972913166538800000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.136
Order of pole = 4.437
x[1] = -1.126
y[1] (analytic) = 0.78872004145512537888138991400585
y[1] (numeric) = 0.78872004145514032783976003985124
absolute error = 1.494895837012584539e-14
relative error = 1.8953440491440046475537030000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.135
Order of pole = 4.437
x[1] = -1.125
y[1] (analytic) = 0.79012283249553975661056267807393
y[1] (numeric) = 0.79012283249555480051123122541878
absolute error = 1.504390066854734485e-14
relative error = 1.9039951827530901873126100000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.134
Order of pole = 4.437
x[1] = -1.124
y[1] (analytic) = 0.79152936930148324688513404945634
y[1] (numeric) = 0.79152936930149838640546728694704
absolute error = 1.513952033323749070e-14
relative error = 1.9126921780044581288093900000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.133
Order of pole = 4.437
x[1] = -1.123
y[1] (analytic) = 0.7929396652208733437472742699008
y[1] (numeric) = 0.79293966522088857957008007210589
absolute error = 1.523582280580220509e-14
relative error = 1.9214353215081334905151700000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.132
Order of pole = 4.437
x[1] = -1.122
y[1] (analytic) = 0.79435373366113664075749572041926
y[1] (numeric) = 0.79435373366115197357107218342586
absolute error = 1.533281357646300660e-14
relative error = 1.9302249019205632063641000000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.131
Order of pole = 4.437
x[1] = -1.121
y[1] (analytic) = 0.79577158808952748674642420036892
y[1] (numeric) = 0.79577158808954291724460873557385
absolute error = 1.543049818453520493e-14
relative error = 1.9390612099610688993645060000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.13
Order of pole = 4.437
x[1] = -1.12
y[1] (analytic) = 0.79719324203344863404923943778744
y[1] (numeric) = 0.79719324203346416293145834901875
absolute error = 1.552888221891123131e-14
relative error = 1.9479445384284467466495310000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.129
Order of pole = 4.437
x[1] = -1.119
y[1] (analytic) = 0.79861870908077389347384763313373
y[1] (numeric) = 0.79861870908078952144516618229838
absolute error = 1.562797131854916465e-14
relative error = 1.9568751822177159106473300000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.128
Order of pole = 4.437
x[1] = -1.118
y[1] (analytic) = 0.80004800288017281036862211732704
y[1] (numeric) = 0.80004800288018853813979508384082
absolute error = 1.572777117296651378e-14
relative error = 1.9658534383370169736466500000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.127
Order of pole = 4.437
x[1] = -1.117
y[1] (analytic) = 0.8014811371414373762713494537906
y[1] (numeric) = 0.80148113714145320455887219310796
absolute error = 1.582828752273931736e-14
relative error = 1.9748796059246618876898400000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.126
Order of pole = 4.437
x[1] = -1.116
y[1] (analytic) = 0.80291812563581079073785766991554
y[1] (numeric) = 0.80291812563582672026401767653874
absolute error = 1.592952616000662320e-14
relative error = 1.9839539862663368910802400000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.125
Order of pole = 4.437
x[1] = -1.115
y[1] (analytic) = 0.80435898219631828806669101193186
y[1] (numeric) = 0.80435898219633431955961999234213
absolute error = 1.603149292898041027e-14
relative error = 1.9930768828124599538331020000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
memory used=144.9MB, alloc=4.5MB, time=21.68
Real estimate of pole used
Radius of convergence = 1.124
Order of pole = 4.437
x[1] = -1.114
y[1] (analytic) = 0.80580372071810004375514203499283
y[1] (numeric) = 0.80580372071811617794886849600954
absolute error = 1.613419372646101671e-14
relative error = 2.0022486011956942354059870000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.123
Order of pole = 4.437
x[1] = -1.113
y[1] (analytic) = 0.80725235515874617564196743543999
y[1] (numeric) = 0.80725235515876241327646979357851
absolute error = 1.623763450235813852e-14
relative error = 2.0114694492486191254420400000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.122
Order of pole = 4.437
x[1] = -1.112
y[1] (analytic) = 0.80870489953863385481320938582906
y[1] (numeric) = 0.80870489953865019663446960329319
absolute error = 1.634182126021746413e-14
relative error = 2.0207397370215604182630850000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.121
Order of pole = 4.437
x[1] = -1.111
y[1] (analytic) = 0.81016136794126654146972994080961
y[1] (numeric) = 0.81016136794128298822978769382061
absolute error = 1.644676005775301100e-14
relative error = 2.0300597768005812043542000000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.12
Order of pole = 4.437
x[1] = -1.11
y[1] (analytic) = 0.81162177451361536107835315448977
y[1] (numeric) = 0.81162177451363191353536053972092
absolute error = 1.655245700738523115e-14
relative error = 2.0394298831256350685146150000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.119
Order of pole = 4.437
x[1] = -1.109
y[1] (analytic) = 0.81308613346646263625290881564248
y[1] (numeric) = 0.81308613346647929517118560059588
absolute error = 1.665891827678495340e-14
relative error = 2.0488503728088832057498800000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.118
Order of pole = 4.437
x[1] = -1.108
y[1] (analytic) = 0.81455445907474758993699421259057
y[1] (numeric) = 0.81455445907476435608708363582164
absolute error = 1.676615008942323107e-14
relative error = 2.0583215649531770971551550000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.117
Order of pole = 4.437
x[1] = -1.107
y[1] (analytic) = 0.81602676567791423558692725121384
y[1] (numeric) = 0.81602676567793110974565237837832
absolute error = 1.687415872512716448e-14
relative error = 2.0678437809707083712016000000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.116
Order of pole = 4.437
x[1] = -1.106
y[1] (analytic) = 0.81750306768026147018116685482862
y[1] (numeric) = 0.81750306768027845313168749659747
absolute error = 1.698295052064176885e-14
relative error = 2.0774173446018275402767450000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.115
Order of pole = 4.437
x[1] = -1.105
y[1] (analytic) = 0.81898337955129538601143628391205
y[1] (numeric) = 0.81898337955131247854330648187078
absolute error = 1.709253187019795873e-14
relative error = 2.0870425819340332756256980000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.114
Order of pole = 4.437
x[1] = -1.104
y[1] (analytic) = 0.82046771582608381734091336107061
y[1] (numeric) = 0.82046771582610102025013944779188
absolute error = 1.720290922608672127e-14
relative error = 2.0967198214211339358137590000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.113
Order of pole = 4.437
x[1] = -1.103
y[1] (analytic) = 0.8219560911056131381461602321204
y[1] (numeric) = 0.82195609110563045223525947167178
absolute error = 1.731408909923955138e-14
relative error = 2.1064493939025830604421800000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.112
Order of pole = 4.437
x[1] = -1.102
y[1] (analytic) = 0.82344852005714732729196602451406
y[1] (numeric) = 0.82344852005716475337002583973695
absolute error = 1.742607805981522289e-14
relative error = 2.1162316326229905753730450000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.111
Order of pole = 4.437
x[1] = -1.101
y[1] (analytic) = 0.82494501741458931762198049500001
y[1] (numeric) = 0.82494501741460685650471828797062
absolute error = 1.753888273779297061e-14
relative error = 2.1260668732518114559383220000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.11
Order of pole = 4.437
x[1] = -1.1
y[1] (analytic) = 0.82644559797884464558293753476237
y[1] (numeric) = 0.82644559797886229809276110692177
absolute error = 1.765250982357215940e-14
relative error = 2.1359554539032136446159400000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.109
Order of pole = 4.437
x[1] = -1.099
y[1] (analytic) = 0.82795027661818741813641639937672
y[1] (numeric) = 0.8279502766182051851024849778937
absolute error = 1.776696606857851698e-14
relative error = 2.1458977151561269965477960000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.108
Order of pole = 4.437
x[1] = -1.098
y[1] (analytic) = 0.82945906826862861384947806288129
y[1] (numeric) = 0.82945906826864649610776393988981
absolute error = 1.788225828587700852e-14
relative error = 2.1558940000744750856754600000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.107
Order of pole = 4.437
x[1] = -1.097
y[1] (analytic) = 0.83097198793428673519415660498085
y[1] (numeric) = 0.83097198793430473358750739641275
absolute error = 1.799839335079143190e-14
relative error = 2.1659446542275917062779000000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.106
Order of pole = 4.437
x[1] = -1.096
y[1] (analytic) = 0.83248905068776082922569360906481
y[1] (numeric) = 0.83248905068777894460389513987829
absolute error = 1.811537820153081348e-14
relative error = 2.1760500257108239176005160000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.105
Order of pole = 4.437
x[1] = -1.095
y[1] (analytic) = 0.83401027167050589395058989546515
y[1] (numeric) = 0.83401027167052412717042971815052
absolute error = 1.823321983982268537e-14
relative error = 2.1862104651663235148449620000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.104
Order of pole = 4.437
x[1] = -1.094
y[1] (analytic) = 0.83553566609321068783802639791383
y[1] (numeric) = 0.83553566609322903976335795123997
absolute error = 1.835192533155332614e-14
relative error = 2.1964263258040288197419180000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.103
Order of pole = 4.437
x[1] = -1.093
y[1] (analytic) = 0.83706524923617796007198761143431
y[1] (numeric) = 0.83706524923619643157379502648238
absolute error = 1.847150180741504807e-14
relative error = 2.2066979634228387176825500000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.102
Order of pole = 4.437
x[1] = -1.092
y[1] (analytic) = 0.83859903644970711928651993978859
y[1] (numeric) = 0.83859903644972571124298350040353
absolute error = 1.859195646356061494e-14
relative error = 2.2170257364319808694427100000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.101
Order of pole = 4.437
x[1] = -1.091
y[1] (analytic) = 0.84013704315447935867298673759664
y[1] (numeric) = 0.84013704315449807196954900247224
memory used=148.7MB, alloc=4.5MB, time=22.27
absolute error = 1.871329656226487560e-14
relative error = 2.2274100058725760658919200000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.1
Order of pole = 4.437
x[1] = -1.09
y[1] (analytic) = 0.84167928484194525549595531019669
y[1] (numeric) = 0.84167928484196409102538790389622
absolute error = 1.883552943259369953e-14
relative error = 2.2378511354394007005292530000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.099
Order of pole = 4.437
x[1] = -1.089
y[1] (analytic) = 0.84322577707471486320348218516901
y[1] (numeric) = 0.84322577707473382186595326547085
absolute error = 1.895866247108030184e-14
relative error = 2.2483494915028493718696480000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.098
Order of pole = 4.437
x[1] = -1.088
y[1] (analytic) = 0.84477653548695031446806533501725
y[1] (numeric) = 0.84477653548696939717120774406348
absolute error = 1.908270314240904623e-14
relative error = 2.2589054431310996429531350000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.097
Order of pole = 4.437
x[1] = -1.087
y[1] (analytic) = 0.84633157578476095364641959426864
y[1] (numeric) = 0.84633157578478016130539970108407
absolute error = 1.920765898010681543e-14
relative error = 2.2695193621124809907625100000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.096
Order of pole = 4.437
x[1] = -1.086
y[1] (analytic) = 0.8478909137466010172995183131719
y[1] (numeric) = 0.84789091374662035083710555521204
absolute error = 1.933353758724204014e-14
relative error = 2.2801916229780500414995580000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.095
Order of pole = 4.437
x[1] = -1.085
y[1] (analytic) = 0.84945456522366988156904451651595
y[1] (numeric) = 0.84945456522368934191568164799421
absolute error = 1.946034663713147826e-14
relative error = 2.2909226030243741626106760000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.094
Order of pole = 4.437
x[1] = -1.084
y[1] (analytic) = 0.85102254614031489536252283931758
y[1] (numeric) = 0.85102254614033448345639689415532
absolute error = 1.958809387405483774e-14
relative error = 2.3017126823365255470251180000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.093
Order of pole = 4.437
x[1] = -1.083
y[1] (analytic) = 0.85259487249443681845697379975957
y[1] (numeric) = 0.85259487249445653524408777709686
absolute error = 1.971678711397733729e-14
relative error = 2.3125622438112879134068100000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.092
Order of pole = 4.437
x[1] = -1.082
y[1] (analytic) = 0.85417156035789788378995921330799
y[1] (numeric) = 0.85417156035791773022420449360874
absolute error = 1.984643424528030075e-14
relative error = 2.3234716731805780095543750000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.091
Order of pole = 4.437
x[1] = -1.081
y[1] (analytic) = 0.85575262587693250336738658282573
y[1] (numeric) = 0.85575262587695248041061608270747
absolute error = 1.997704322949988174e-14
relative error = 2.3344413590350840805857880000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.09
Order of pole = 4.437
x[1] = -1.08
y[1] (analytic) = 0.85733808527256063737942611503248
y[1] (numeric) = 0.85733808527258074600152818904941
absolute error = 2.010862210207401693e-14
relative error = 2.3454716928481235421168930000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.089
Order of pole = 4.437
x[1] = -1.079
y[1] (analytic) = 0.85892795484100384627938177801522
y[1] (numeric) = 0.85892795484102408745835487572236
absolute error = 2.024117897309770714e-14
relative error = 2.3565630689997220756087880000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.088
Order of pole = 4.437
x[1] = -1.078
y[1] (analytic) = 0.86052225095410404574536286072017
y[1] (numeric) = 0.8605222509541244204673909474472
absolute error = 2.037472202808672703e-14
relative error = 2.3677158848009164180657550000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.087
Order of pole = 4.437
x[1] = -1.077
y[1] (analytic) = 0.86212099005974498461114032743355
y[1] (numeric) = 0.86212099005976549387066907729893
absolute error = 2.050925952874986538e-14
relative error = 2.3789305405182831350223400000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.086
Order of pole = 4.437
x[1] = -1.076
y[1] (analytic) = 0.8637241886822764660206585551449
y[1] (numeric) = 0.86372418868229711082047232494412
absolute error = 2.064479981376979922e-14
relative error = 2.3902074393986956831533940000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.085
Order of pole = 4.437
x[1] = -1.075
y[1] (analytic) = 0.86533186342294133223032365142356
y[1] (numeric) = 0.86533186342296211358162324413012
absolute error = 2.078135129959270656e-14
relative error = 2.4015469876943121111106560000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.084
Order of pole = 4.437
x[1] = -1.074
y[1] (analytic) = 0.86694403096030523365442050426666
y[1] (numeric) = 0.86694403096032615257690173099041
absolute error = 2.091892248122672375e-14
relative error = 2.4129495946877957630978750000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.083
Order of pole = 4.437
x[1] = -1.073
y[1] (analytic) = 0.86856070805068920292183822188252
y[1] (numeric) = 0.86856070805071026044377127123725
absolute error = 2.105752193304935473e-14
relative error = 2.4244156727177713581290900000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.082
Order of pole = 4.437
x[1] = -1.072
y[1] (analytic) = 0.87018191152860505488672406966676
y[1] (numeric) = 0.87018191152862625204503369360811
absolute error = 2.119715830962394135e-14
relative error = 2.4359456372045189040299750000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.081
Order of pole = 4.437
x[1] = -1.071
y[1] (analytic) = 0.87180765830719363371175597754921
y[1] (numeric) = 0.8718076583072149715521025028538
absolute error = 2.133784034652530459e-14
relative error = 2.4475399066759078427522780000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.08
Order of pole = 4.437
x[1] = -1.07
y[1] (analytic) = 0.8734379653786659283204399332344
y[1] (numeric) = 0.87343796537868740789730110790321
absolute error = 2.147957686117466881e-14
relative error = 2.4591989027935739495237810000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.079
Order of pole = 4.437
x[1] = -1.069
y[1] (analytic) = 0.87507284981474707769421804365213
y[1] (numeric) = 0.87507284981476870007097172763394
absolute error = 2.162237675368398181e-14
relative error = 2.4709230503793414421159220000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.078
Order of pole = 4.437
x[1] = -1.068
y[1] (analytic) = 0.87671232876712328767123287671233
y[1] (numeric) = 0.876712328767145053920240586458
absolute error = 2.176624900770974567e-14
relative error = 2.4827127774418928654843750000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.077
memory used=152.5MB, alloc=4.5MB, time=22.87
Order of pole = 4.437
x[1] = -1.067
y[1] (analytic) = 0.87835641946789168108635121959789
y[1] (numeric) = 0.87835641946791359228904253607227
absolute error = 2.191120269131647438e-14
relative error = 2.4945685152036892916886200000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.076
Order of pole = 4.437
x[1] = -1.066
y[1] (analytic) = 0.88000513923001310327652313489511
y[1] (numeric) = 0.88000513923003516052348098479105
absolute error = 2.205724695784989594e-14
relative error = 2.5064906981281434200690580000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.075
Order of pole = 4.437
x[1] = -1.065
y[1] (analytic) = 0.8816585054477679051617578859945
y[1] (numeric) = 0.8816585054477901095528047060128
absolute error = 2.220439104682001830e-14
relative error = 2.5184797639470482076335800000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.074
Order of pole = 4.437
x[1] = -1.064
y[1] (analytic) = 0.88331653559721472629995486252503
y[1] (numeric) = 0.88331653559723707894423965670485
absolute error = 2.235264428479417982e-14
relative error = 2.5305361536882636591682540000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.073
Order of pole = 4.437
x[1] = -1.063
y[1] (analytic) = 0.88497924723665230050355319167766
y[1] (numeric) = 0.88497924723667480251963949188446
absolute error = 2.250201608630020680e-14
relative error = 2.5426603117036644677796000000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.072
Order of pole = 4.437
x[1] = -1.062
y[1] (analytic) = 0.88664665800708430679747660361131
y[1] (numeric) = 0.88664665800710695931343134341332
absolute error = 2.265251595473980201e-14
relative error = 2.5548526856973511997968450000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.071
Order of pole = 4.437
x[1] = -1.061
y[1] (analytic) = 0.88831878563268728869116886762451
y[1] (numeric) = 0.88831878563271009284465217991437
absolute error = 2.280415348331228986e-14
relative error = 2.5671137267541277565778920000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.07
Order of pole = 4.437
x[1] = -1.06
y[1] (analytic) = 0.88999564792128166493265847930004
y[1] (numeric) = 0.88999564792130462187101442814583
absolute error = 2.295693835594884579e-14
relative error = 2.5794438893682479078489790000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.068
Order of pole = 4.437
x[1] = -1.059
y[1] (analytic) = 0.89167726276480585510957821882117
y[1] (numeric) = 0.89167726276482896598992647615975
absolute error = 2.311088034825733858e-14
relative error = 2.5918436314724336585375560000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.067
Order of pole = 4.437
x[1] = -1.058
y[1] (analytic) = 0.89336364813979354366091489371206
y[1] (numeric) = 0.8933636481398168096502433716286
absolute error = 2.326598932847791654e-14
relative error = 2.6043134144671683047797100000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.066
Order of pole = 4.437
x[1] = -1.057
y[1] (analytic) = 0.89505482210785410606399641978071
y[1] (numeric) = 0.89505482210787752833925486925069
absolute error = 2.342227525844946998e-14
relative error = 2.6168537032502670335155000000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.065
Order of pole = 4.437
x[1] = -1.056
y[1] (analytic) = 0.89675080281615622116385699694298
y[1] (numeric) = 0.8967508028161798009120515840472
absolute error = 2.357974819458710422e-14
relative error = 2.6294649662467279638578140000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.064
Order of pole = 4.437
x[1] = -1.055
y[1] (analytic) = 0.89845160849791469381667633999565
y[1] (numeric) = 0.89845160849793843223496521075477
absolute error = 2.373841828887075912e-14
relative error = 2.6421476754388665540297120000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.063
Order of pole = 4.437
x[1] = -1.054
y[1] (analytic) = 0.90015725747288051222548579236793
y[1] (numeric) = 0.9001572574729044105212756374809
absolute error = 2.389829578984511297e-14
relative error = 2.6549023063967363365293490000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.062
Order of pole = 4.437
x[1] = -1.053
y[1] (analytic) = 0.90186776814783416455479297625382
y[1] (numeric) = 0.90186776814785822394583660716432
absolute error = 2.405939104363091050e-14
relative error = 2.6677293383088389871505000000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.061
Order of pole = 4.437
x[1] = -1.052
y[1] (analytic) = 0.90358315901708223962121793974004
y[1] (numeric) = 0.9035831590171064613357128875964
absolute error = 2.422171449494785636e-14
relative error = 2.6806292540131267372893800000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.06
Order of pole = 4.437
x[1] = -1.051
y[1] (analytic) = 0.90530344866295733666967830947255
y[1] (numeric) = 0.90530344866298172194636645869027
absolute error = 2.438527668814921772e-14
relative error = 2.6936025400283002191947440000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.059
Order of pole = 4.437
x[1] = -1.05
y[1] (analytic) = 0.90702865575632130945912974228595
y[1] (numeric) = 0.90702865575634585954739801056704
absolute error = 2.455008826826828109e-14
relative error = 2.7066496865854048170006090000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.058
Order of pole = 4.437
x[1] = -1.049
y[1] (analytic) = 0.90875879905707187009838222758592
y[1] (numeric) = 0.90875879905709658625836430439681
absolute error = 2.471615998207681089e-14
relative error = 2.7197711876597286856977780000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.057
Order of pole = 4.437
x[1] = -1.048
y[1] (analytic) = 0.91049389741465257829109400394244
y[1] (numeric) = 0.91049389741467746179377315960122
absolute error = 2.488350267915565878e-14
relative error = 2.7329675410030055816367900000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.056
Order of pole = 4.437
x[1] = -1.047
y[1] (analytic) = 0.91223396976856624186971474443765
y[1] (numeric) = 0.9122339697685912939970277221129
absolute error = 2.505212731297767525e-14
relative error = 2.7462392481759257385802500000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.055
Order of pole = 4.437
x[1] = -1.046
y[1] (analytic) = 0.91397903514889175472093021130281
y[1] (numeric) = 0.91397903514891697676587221437934
absolute error = 2.522204494200307653e-14
relative error = 2.7595868145809580083774010000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.054
Order of pole = 4.437
x[1] = -1.045
y[1] (analytic) = 0.91572911267680439843007400922689
y[1] (numeric) = 0.91572911267682979169680479664925
absolute error = 2.539326673078742236e-14
relative error = 2.7730107494954865690101360000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.053
Order of pole = 4.437
x[1] = -1.044
y[1] (analytic) = 0.91748422156509963419904086199478
y[1] (numeric) = 0.91748422156512520000299196435675
absolute error = 2.556580395110236197e-14
relative error = 2.7865115661052655098495890000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
memory used=156.4MB, alloc=4.5MB, time=23.46
Real estimate of pole used
Radius of convergence = 1.052
Order of pole = 4.437
x[1] = -1.043
y[1] (analytic) = 0.91924438111872041182148274118674
y[1] (numeric) = 0.91924438111874615148946581049448
absolute error = 2.573966798306930774e-14
relative error = 2.8000897815381946424959000000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.051
Order of pole = 4.437
x[1] = -1.042
y[1] (analytic) = 0.92100961073528802273051719294691
y[1] (numeric) = 0.9210096107353139376008334991453
absolute error = 2.591487031630619839e-14
relative error = 2.8137459168984199494918350000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.05
Order of pole = 4.437
x[1] = -1.041
y[1] (analytic) = 0.92277992990563652436784960901814
y[1] (numeric) = 0.92277992990566261579040069653375
absolute error = 2.609142255108751561e-14
relative error = 2.8274804973007621091276020000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.049
Order of pole = 4.437
x[1] = -1.04
y[1] (analytic) = 0.92455535821435076335913150967871
y[1] (numeric) = 0.92455535821437703269553102739864
absolute error = 2.626933639951771993e-14
relative error = 2.8412940519054765394007930000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.048
Order of pole = 4.437
x[1] = -1.039
y[1] (analytic) = 0.92633591534030802521856895922455
y[1] (numeric) = 0.92633591534033447384225567749915
absolute error = 2.644862368671827460e-14
relative error = 2.8551871139533485232741200000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.047
Order of pole = 4.437
x[1] = -1.038
y[1] (analytic) = 0.92812162105722333854628310493807
y[1] (numeric) = 0.92812162105724996784263513336581
absolute error = 2.662929635202842774e-14
relative error = 2.8691602208011269326324300000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.046
Order of pole = 4.437
x[1] = -1.037
y[1] (analytic) = 0.92991249523419846192473288263574
y[1] (numeric) = 0.92991249523422527329118310256156
absolute error = 2.681136645021992582e-14
relative error = 2.8832139139573001629053400000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.045
Order of pole = 4.437
x[1] = -1.036
y[1] (analytic) = 0.9317085578362745819656628128095
y[1] (numeric) = 0.93170855783630157681181553864332
absolute error = 2.699484615272583382e-14
relative error = 2.8973487391182179261504540000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.044
Order of pole = 4.437
x[1] = -1.035
y[1] (analytic) = 0.93350982892498875120656145388555
y[1] (numeric) = 0.93350982892501593095431033752513
absolute error = 2.717974774888363958e-14
relative error = 2.9115652462045625692725080000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.043
Order of pole = 4.437
x[1] = -1.034
y[1] (analytic) = 0.93531632865893409480553370552688
y[1] (numeric) = 0.93531632865896146088918089834932
absolute error = 2.736608364719282244e-14
relative error = 2.9258639893981736461483080000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.042
Order of pole = 4.437
x[1] = -1.033
y[1] (analytic) = 0.93712807729432381523582828065112
y[1] (numeric) = 0.93712807729435136910220486771981
absolute error = 2.755386637658706869e-14
relative error = 2.9402455271792295128412100000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.041
Order of pole = 4.437
x[1] = -1.032
y[1] (analytic) = 0.93894509518555902443604610220417
y[1] (numeric) = 0.93894509518558676754463382352302
absolute error = 2.774310858772131885e-14
relative error = 2.9547104223637897608221250000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.04
Order of pole = 4.437
x[1] = -1.031
y[1] (analytic) = 0.94076740278580043312931224258252
y[1] (numeric) = 0.94076740278582836695236651641667
absolute error = 2.793382305427383415e-14
relative error = 2.9692592421417023295752300000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.039
Order of pole = 4.437
x[1] = -1.03
y[1] (analytic) = 0.94259502064754392728444972716587
y[1] (numeric) = 0.94259502064757205330712399063836
absolute error = 2.812602267426347249e-14
relative error = 2.9838925581148792228113490000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.038
Order of pole = 4.437
x[1] = -1.029
y[1] (analytic) = 0.94442796942320006195447479416192
y[1] (numeric) = 0.94442796942322838167494617652817
absolute error = 2.831972047138236625e-14
relative error = 2.9986109463359447444882500000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.037
Order of pole = 4.437
x[1] = -1.028
y[1] (analytic) = 0.94626626986567750299256707845021
y[1] (numeric) = 0.94626626986570601792216342264773
absolute error = 2.851492959634419752e-14
relative error = 3.0134149873472602776173200000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.036
Order of pole = 4.437
x[1] = -1.027
y[1] (analytic) = 0.94810994282897044741308202099115
y[1] (numeric) = 0.94810994282899915907641026925967
absolute error = 2.871166332824826852e-14
relative error = 3.0283052662203296256099600000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.035
Order of pole = 4.437
x[1] = -1.026
y[1] (analytic) = 0.94995900926875005343519427136719
y[1] (numeric) = 0.949959009268778963370270230935
absolute error = 2.890993507595956781e-14
relative error = 3.0432823725955889963527370000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.034
Order of pole = 4.437
x[1] = -1.025
y[1] (analytic) = 0.95181349024295991151941794701445
y[1] (numeric) = 0.95181349024298902127779745205047
absolute error = 2.910975837950503602e-14
relative error = 3.0583469007225857973548520000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.033
Order of pole = 4.437
x[1] = -1.024
y[1] (analytic) = 0.95367340691241558798257066481527
y[1] (numeric) = 0.95367340691244489912948215105217
absolute error = 2.931114691148623690e-14
relative error = 3.0734994495005503829891300000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.032
Order of pole = 4.437
x[1] = -1.023
y[1] (analytic) = 0.95553878054140827305476192751283
y[1] (numeric) = 0.95553878054143778716924043615575
absolute error = 2.951411447850864292e-14
relative error = 3.0887406225193650075067600000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.031
Order of pole = 4.437
x[1] = -1.022
y[1] (analytic) = 0.95740963249831256552272172410327
y[1] (numeric) = 0.95740963249834228419774435185063
absolute error = 2.971867502262774736e-14
relative error = 3.1040710281009342701309600000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.03
Order of pole = 4.437
x[1] = -1.021
y[1] (analytic) = 0.9592859842561984263872714261321
y[1] (numeric) = 0.95928598425622835122989423834969
absolute error = 2.992484262281221759e-14
relative error = 3.1194912793409613728954780000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.029
Order of pole = 4.437
x[1] = -1.02
y[1] (analytic) = 0.96116785739344733424900591214349
y[1] (numeric) = 0.96116785739347746688050233645079
absolute error = 3.013263149642430730e-14
relative error = 3.1350019941511345739227300000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
memory used=160.2MB, alloc=4.5MB, time=24.04
Real estimate of pole used
Radius of convergence = 1.028
Order of pole = 4.437
x[1] = -1.019
y[1] (analytic) = 0.96305527359437267542533336158295
y[1] (numeric) = 0.96305527359440301748133407933152
absolute error = 3.034205600071774857e-14
relative error = 3.1506037953017282840642340000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.027
Order of pole = 4.437
x[1] = -1.018
y[1] (analytic) = 0.96494825464984440209393771259016
y[1] (numeric) = 0.96494825464987495522457206593757
absolute error = 3.055313063435334741e-14
relative error = 3.1662973104646232754668250000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.026
Order of pole = 4.437
x[1] = -1.017
y[1] (analytic) = 0.96684682245791799205251911939591
y[1] (numeric) = 0.9668468224579487579225580519058
absolute error = 3.076587003893250989e-14
relative error = 3.1820831722567505654128100000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.025
Order of pole = 4.437
x[1] = -1.016
y[1] (analytic) = 0.96875099902446774398236098180976
y[1] (numeric) = 0.9687509990244987242713615307384
absolute error = 3.098028900054892864e-14
relative error = 3.1979620182839635431140480000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.024
Order of pole = 4.437
x[1] = -1.015
y[1] (analytic) = 0.97066080646382444240389972685605
y[1] (numeric) = 0.97066080646385563880635108551918
absolute error = 3.119640245135866313e-14
relative error = 3.2139344911853430081767380000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.023
Order of pole = 4.437
x[1] = -1.014
y[1] (analytic) = 0.97257626699941742681606734896134
y[1] (numeric) = 0.97257626699944884104153851781145
absolute error = 3.141422547116885011e-14
relative error = 3.2300012386779398176551670000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.022
Order of pole = 4.437
x[1] = -1.013
y[1] (analytic) = 0.97449740296442109981776898564565
y[1] (numeric) = 0.97449740296445273359105803092954
absolute error = 3.163377328904528389e-14
relative error = 3.2461629136019598969401300000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.021
Order of pole = 4.437
x[1] = -1.012
y[1] (analytic) = 0.97642423680240590931948112816056
y[1] (numeric) = 0.9764242368024377643807660672701
absolute error = 3.185506128493910954e-14
relative error = 3.2624201739663964339843300000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.02
Order of pole = 4.437
x[1] = -1.011
y[1] (analytic) = 0.97835679106799384026564343591078
y[1] (numeric) = 0.97835679106802591837063476878625
absolute error = 3.207810499133287547e-14
relative error = 3.2787736829951141341147340000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.019
Order of pole = 4.437
x[1] = -1.01
y[1] (analytic) = 0.98029508842751845160430192696606
y[1] (numeric) = 0.9802950884275507545243968331612
absolute error = 3.230292009490619514e-14
relative error = 3.2952241091733904568509140000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.018
Order of pole = 4.437
x[1] = -1.009
y[1] (analytic) = 0.98223915165968949455937733895698
y[1] (numeric) = 0.98223915165972202408181556022828
absolute error = 3.252952243822127130e-14
relative error = 3.3117721262949188327646600000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.017
Order of pole = 4.437
x[1] = -1.008
y[1] (analytic) = 0.9841890036562621485830138819859
y[1] (numeric) = 0.98418900365629490651103531052542
absolute error = 3.275792802142853952e-14
relative error = 3.3284184135092789007388800000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.016
Order of pole = 4.437
x[1] = -1.007
y[1] (analytic) = 0.98614466742271091169074503229624
y[1] (numeric) = 0.98614466742274389984374902498785
absolute error = 3.298815300399269161e-14
relative error = 3.3451636553698788927120500000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.015
Order of pole = 4.437
x[1] = -1.006
y[1] (analytic) = 0.98810616607890818221072944961498
y[1] (numeric) = 0.98810616607894140242443588895772
absolute error = 3.322021370643934274e-14
relative error = 3.3620085418823753108561380000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.014
Order of pole = 4.437
x[1] = -1.005
y[1] (analytic) = 0.99007352285980756931009696780083
y[1] (numeric) = 0.99007352285984102343670909041104
absolute error = 3.345412661212261021e-14
relative error = 3.3789537685535751499965460000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.013
Order of pole = 4.437
x[1] = -1.004
y[1] (analytic) = 0.9920467611161319699965377568037
y[1] (numeric) = 0.99204676111616565990490677067903
absolute error = 3.368990836901387533e-14
relative error = 3.3960000364408259568520610000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.012
Order of pole = 4.437
x[1] = -1.003
y[1] (analytic) = 0.99402590431506645063170346219222
y[1] (numeric) = 0.99402590431510037820749497419581
absolute error = 3.392757579151200359e-14
relative error = 3.4131480522018990731575900000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.011
Order of pole = 4.437
x[1] = -1.002
y[1] (analytic) = 0.99601097604095597133480410954129
y[1] (numeric) = 0.99601097604099013848066638484369
absolute error = 3.416714586227530240e-14
relative error = 3.4303985281453714986112000000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.01
Order of pole = 4.437
x[1] = -1.001
y[1] (analytic) = 0.998001999996007992000015968032
y[1] (numeric) = 0.99800199999604240063575004353145
absolute error = 3.440863573407549945e-14
relative error = 3.4477521822815118599898900000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.009
Order of pole = 4.437
x[1] = -1
y[1] (analytic) = 0.999999000000999999000000999999
y[1] (numeric) = 0.99999900000103465106273267402757
absolute error = 3.465206273167402857e-14
relative error = 3.4652097383736760244028570000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.008
Order of pole = 4.437
x[1] = -0.999
y[1] (analytic) = 1.002001999995991992000016032032
y[1] (numeric) = 1.0020019999960268894443697529464
absolute error = 3.48974443537209144e-14
relative error = 3.4827719259902180013028800000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.007
Order of pole = 4.437
x[1] = -0.998
y[1] (analytic) = 1.0040110240410439706627978775207
y[1] (numeric) = 1.0040110240410791154610725540716
absolute error = 3.51447982746765509e-14
relative error = 3.5004394805569218079154500000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.006
Order of pole = 4.437
x[1] = -0.997
y[1] (analytic) = 1.0060260963169384613836882928743
y[1] (numeric) = 1.0060260963169738555260350495474
absolute error = 3.53941423467566731e-14
relative error = 3.5182131434099600628131000000001e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.005
Order of pole = 4.437
memory used=164.0MB, alloc=4.5MB, time=24.63
x[1] = -0.996
y[1] (analytic) = 1.0080472411259081245583493024817
y[1] (numeric) = 1.0080472411259437700529512033068
absolute error = 3.56454946019008251e-14
relative error = 3.5360936618493850813226700000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.004
Order of pole = 4.437
x[1] = -0.995
y[1] (analytic) = 1.0100744828923684832519549991616
y[1] (numeric) = 1.0100744828924043821252087637952
absolute error = 3.58988732537646336e-14
relative error = 3.5540817891931585144473600000001e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.003
Order of pole = 4.437
x[1] = -0.994
y[1] (analytic) = 1.0121078461636558145089708178945
y[1] (numeric) = 1.0121078461636919688056705540914
absolute error = 3.61542966997361969e-14
relative error = 3.5721782848317252776485299999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.002
Order of pole = 4.437
x[1] = -0.993
y[1] (analytic) = 1.014147355610770244916586380001
y[1] (numeric) = 1.0141473556108066567001093569097
absolute error = 3.64117835229769087e-14
relative error = 3.5903839142831380823635000000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.001
Order of pole = 4.437
x[1] = -0.992
y[1] (analytic) = 1.0161930360291240924125946964885
y[1] (numeric) = 1.0161930360291607637650891835228
absolute error = 3.66713524944870343e-14
relative error = 3.6086994492487383408429500000002e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1
Order of pole = 4.437
x[1] = -0.991
y[1] (analytic) = 1.0182449123392954967100506882317
y[1] (numeric) = 1.0182449123393324297326258846003
absolute error = 3.69330225751963686e-14
relative error = 3.6271256676694000067425200000001e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9989
Order of pole = 4.437
x[1] = -0.99
y[1] (analytic) = 1.0203030095877873810964380201632
y[1] (numeric) = 1.0203030095878245779093561004667
absolute error = 3.71968129180803035e-14
relative error = 3.6456633537823423540653500000001e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9979
Order of pole = 4.437
x[1] = -0.989
y[1] (analytic) = 1.0223673529477917887543680645155
y[1] (numeric) = 1.0223673529478292514972383661558
absolute error = 3.74627428703016403e-14
relative error = 3.6643132981785181013516599999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9969
Order of pole = 4.437
x[1] = -0.988
y[1] (analytic) = 1.0244379677199596371440718335903
y[1] (numeric) = 1.0244379677199973679760472120775
absolute error = 3.77308319753784872e-14
relative error = 3.6830762978605833387844000000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9959
Order of pole = 4.437
x[1] = -0.987
y[1] (analytic) = 1.0265148793331759343851689130234
y[1] (numeric) = 1.0265148793332139354851442916092
absolute error = 3.80010999753785858e-14
relative error = 3.7019531563014556928786000000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9949
Order of pole = 4.437
x[1] = -0.986
y[1] (analytic) = 1.0285981133453405019764512747931
y[1] (numeric) = 1.0285981133453787755432644152095
absolute error = 3.82735668131404164e-14
relative error = 3.7209446835034673402830799999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9939
Order of pole = 4.437
x[1] = -0.985
y[1] (analytic) = 1.0306876954441542485977493903482
y[1] (numeric) = 1.030687695444192796850383911785
absolute error = 3.85482526345214368e-14
relative error = 3.7400516960581195540716800000001e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9929
Order of pole = 4.437
x[1] = -0.984
y[1] (analytic) = 1.0327836514479110401473988827346
y[1] (numeric) = 1.0327836514479498653251895565475
absolute error = 3.88251777906738129e-14
relative error = 3.7592750172064454057115300000002e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9919
Order of pole = 4.437
x[1] = -0.983
y[1] (analytic) = 1.0348860073062952115824441937721
y[1] (numeric) = 1.0348860073063343159452845417789
absolute error = 3.91043628403480068e-14
relative error = 3.7786154768999875490771999999998e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9909
Order of pole = 4.437
x[1] = -0.982
y[1] (analytic) = 1.0369947891011847665465481035958
y[1] (numeric) = 1.0369947891012241523751003281882
absolute error = 3.93858285522245924e-14
relative error = 3.7980739118623980066129999999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9899
Order of pole = 4.437
x[1] = -0.981
y[1] (analytic) = 1.0391100230474603111926697022534
y[1] (numeric) = 1.039110023047499980788576976925
absolute error = 3.96695959072746716e-14
relative error = 3.8176511656516667510319200000001e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9889
Order of pole = 4.437
x[1] = -0.98
y[1] (analytic) = 1.0412317354938197690339764327609
y[1] (numeric) = 1.0412317354938597247200775820349
absolute error = 3.99556861011492740e-14
relative error = 3.8373480887229863898874000000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9879
Order of pole = 4.437
x[1] = -0.979
y[1] (analytic) = 1.0433599529235989240872165451848
y[1] (numeric) = 1.0433599529236391682077631433098
absolute error = 4.02441205465981250e-14
relative error = 3.8571655384922600121250000000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9868
Order of pole = 4.437
x[1] = -0.978
y[1] (analytic) = 1.0454947019555978400079457597349
y[1] (numeric) = 1.045494701955638374928821677908
absolute error = 4.05349208759181731e-14
relative error = 3.8771043794002593797553499999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9858
Order of pole = 4.437
x[1] = -0.977
y[1] (analytic) = 1.0476360093449132033566257739411
y[1] (numeric) = 1.0476360093449540314655692062157
absolute error = 4.08281089434322746e-14
relative error = 3.8971654829774409073938000000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9848
Order of pole = 4.437
x[1] = -0.976
y[1] (analytic) = 1.049783901983776639578742715812
y[1] (numeric) = 1.0497839019838177632855707142493
absolute error = 4.11237068279984373e-14
relative error = 3.9173497279094267407922099999998e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9838
Order of pole = 4.437
x[1] = -0.975
y[1] (analytic) = 1.0519384069023990507307816112751
y[1] (numeric) = 1.0519384069024404724676171613088
absolute error = 4.14217368355500337e-14
relative error = 3.9376580001031586336096200000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9828
Order of pole = 4.437
x[1] = -0.974
y[1] (analytic) = 1.0540995512698210244371898970883
y[1] (numeric) = 1.0540995512698627466586915644835
absolute error = 4.17222215016673952e-14
relative error = 3.9580911927537319476150399999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9818
Order of pole = 4.437
x[1] = -0.973
y[1] (analytic) = 1.0562673623947693640214211021094
y[1] (numeric) = 1.0562673623948113892050152833208
absolute error = 4.20251835941812114e-14
relative error = 3.9786502064119178268721999999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
memory used=167.8MB, alloc=4.5MB, time=25.22
Real estimate of pole used
Radius of convergence = 0.9808
Order of pole = 4.437
x[1] = -0.972
y[1] (analytic) = 1.0584418677265197902168218166038
y[1] (numeric) = 1.0584418677265621208629376247612
absolute error = 4.23306461158081574e-14
relative error = 3.9993359490523809989158999999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9798
Order of pole = 4.437
x[1] = -0.971
y[1] (analytic) = 1.0606230948557658653305643999737
y[1] (numeric) = 1.0606230948558085039628712191584
absolute error = 4.26386323068191847e-14
relative error = 4.0201493361426013740917400000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9788
Order of pole = 4.437
x[1] = -0.97
y[1] (analytic) = 1.0628110715154941912060886320665
y[1] (numeric) = 1.0628110715155371403717363729794
absolute error = 4.29491656477409129e-14
relative error = 4.0410912907125072688522900000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9778
Order of pole = 4.437
x[1] = -0.969
y[1] (analytic) = 1.0650058255818659328066524523889
y[1] (numeric) = 1.0650058255819091950765145429571
absolute error = 4.32622698620905682e-14
relative error = 4.0621627434248284098208400000001e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9768
Order of pole = 4.437
x[1] = -0.968
y[1] (analytic) = 1.0672073850751047197246604946506
y[1] (numeric) = 1.0672073850751482976935796395711
absolute error = 4.35779689191449205e-14
relative error = 4.0833646326461769131512500000001e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9758
Order of pole = 4.437
x[1] = -0.967
y[1] (analytic) = 1.0694157781603909784084954389417
y[1] (numeric) = 1.0694157781604348746955321826188
absolute error = 4.38962870367436771e-14
relative error = 4.1046979045188645019439000000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9748
Order of pole = 4.437
x[1] = -0.966
y[1] (analytic) = 1.0716310331487627483906780959688
y[1] (numeric) = 1.0716310331488069656393622237673
absolute error = 4.42172486841277985e-14
relative error = 4.1261635130334644064864500000002e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9737
Order of pole = 4.437
x[1] = -0.965
y[1] (analytic) = 1.0738531784980230362983851395902
y[1] (numeric) = 1.0738531784980675771769699527972
absolute error = 4.45408785848132070e-14
relative error = 4.1477624201021263501781999999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9727
Order of pole = 4.437
x[1] = -0.964
y[1] (analytic) = 1.0760822428136537619297167643929
y[1] (numeric) = 1.0760822428136986291314362647618
absolute error = 4.48672017195003689e-14
relative error = 4.1694955956326534317663299999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9717
Order of pole = 4.437
x[1] = -0.963
y[1] (analytic) = 1.0783182548497363511866892394621
y[1] (numeric) = 1.0783182548497815474300182596951
absolute error = 4.51962433290202330e-14
relative error = 4.1913640176033493477210000000001e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9707
Order of pole = 4.437
x[1] = -0.962
y[1] (analytic) = 1.0805612435098790311687890690425
y[1] (numeric) = 1.0805612435099245591977063860626
absolute error = 4.55280289173170201e-14
relative error = 4.2133686721386449666444499999998e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9697
Order of pole = 4.437
x[1] = -0.961
y[1] (analytic) = 1.0828112378481508832491267127367
y[1] (numeric) = 1.0828112378481967458333811811005
absolute error = 4.58625842544683638e-14
relative error = 4.2355105535855132273303599999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9687
Order of pole = 4.437
x[1] = -0.96
y[1] (analytic) = 1.0850682670700227104788297755753
y[1] (numeric) = 1.0850682670700689104142095188826
absolute error = 4.61999353797433073e-14
relative error = 4.2577906645906811750987300000001e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9677
Order of pole = 4.437
x[1] = -0.959
y[1] (analytic) = 1.0873323605333147761943802314278
y[1] (numeric) = 1.0873323605333613163029849301012
absolute error = 4.65401086046986734e-14
relative error = 4.2802100161786485349858800000001e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9667
Order of pole = 4.437
x[1] = -0.958
y[1] (analytic) = 1.0896035477491514712371903482918
y[1] (numeric) = 1.0896035477491983543677066626209
absolute error = 4.68831305163143291e-14
relative error = 4.3027696278305220246461499999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9657
Order of pole = 4.437
x[1] = -0.957
y[1] (analytic) = 1.0918818583829229677348910847846
y[1] (numeric) = 1.0918818583829701967628712526585
absolute error = 4.72290279801678739e-14
relative error = 4.3254705275636747311315000000001e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9647
Order of pole = 4.437
x[1] = -0.956
y[1] (analytic) = 1.0941673222552539179396391655005
y[1] (numeric) = 1.0941673222553014957677828147899
absolute error = 4.75778281436492894e-14
relative error = 4.3483137520122400606367799999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9637
Order of pole = 4.437
x[1] = -0.955
y[1] (analytic) = 1.0964599693429792571702999695184
y[1] (numeric) = 1.0964599693430271867287391856164
absolute error = 4.79295584392160980e-14
relative error = 4.3713003465084500994548000000001e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9627
Order of pole = 4.437
x[1] = -0.954
y[1] (analytic) = 1.0987598297801271704626987519187
y[1] (numeric) = 1.0987598297801754547092864414992
absolute error = 4.82842465876895805e-14
relative error = 4.3944313651648277935918500000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9616
Order of pole = 4.437
x[1] = -0.953
y[1] (analytic) = 1.1010669338589092830953193644642
y[1] (numeric) = 1.1010669338589579250159209570818
absolute error = 4.86419206015926176e-14
relative error = 4.4177078709572431230495999999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9606
Order of pole = 4.437
x[1] = -0.952
y[1] (analytic) = 1.1033813120307181357269351928986
y[1] (numeric) = 1.1033813120307671383357237226224
absolute error = 4.90026087885297238e-14
relative error = 4.4411309358088431328559000000002e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9596
Order of pole = 4.437
x[1] = -0.951
y[1] (analytic) = 1.1057029949071320054577499828616
y[1] (numeric) = 1.1057029949071813717975045927129
absolute error = 4.93663397546098513e-14
relative error = 4.4647016406748658735422600000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9586
Order of pole = 4.437
x[1] = -0.95
y[1] (analytic) = 1.1080320132609271347067759481707
y[1] (numeric) = 1.1080320132609768678491838607241
absolute error = 4.97331424079125534e-14
relative error = 4.4884210756283487356053400000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9576
Order of pole = 4.437
x[1] = -0.949
y[1] (analytic) = 1.1103683980270974303854532856911
y[1] (numeric) = 1.1103683980271475334314152837913
absolute error = 5.01030459619981002e-14
relative error = 4.5122903399467413036320400000001e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
memory used=171.6MB, alloc=4.5MB, time=25.82
Real estimate of pole used
Radius of convergence = 0.9566
Order of pole = 4.437
x[1] = -0.948
y[1] (analytic) = 1.112712180303881696440990091298
y[1] (numeric) = 1.1127121803039321725209295534504
absolute error = 5.04760799394621524e-14
relative error = 4.5363105421994333672642000000001e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9556
Order of pole = 4.437
x[1] = -0.947
y[1] (analytic) = 1.1150633913537984634426467144657
y[1] (numeric) = 1.115063391353849315716822250073
absolute error = 5.08522741755356073e-14
relative error = 4.5604828003362087982713000000001e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9546
Order of pole = 4.437
x[1] = -0.946
y[1] (analytic) = 1.1174220626046884794902767519222
y[1] (numeric) = 1.1174220626047397111490984821602
absolute error = 5.12316588217302380e-14
relative error = 4.5848082417766359400246000000002e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9536
Order of pole = 4.437
x[1] = -0.945
y[1] (analytic) = 1.1197882256507649273369420375219
y[1] (numeric) = 1.1197882256508165416012915682803
absolute error = 5.16142643495307584e-14
relative error = 4.6092880035004055050918399999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9526
Order of pole = 4.437
x[1] = -0.944
y[1] (analytic) = 1.1221619122536714332364159495117
y[1] (numeric) = 1.1221619122537234333579700834671
absolute error = 5.20001215541339554e-14
relative error = 4.6339232321386270613289800000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9516
Order of pole = 4.437
x[1] = -0.943
y[1] (analytic) = 1.1245431543435479336519538937307
y[1] (numeric) = 1.1245431543436003229135121292685
absolute error = 5.23892615582355378e-14
relative error = 4.6587150840660951988649999999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9506
Order of pole = 4.437
x[1] = -0.942
y[1] (analytic) = 1.1269319840201044665949186636841
y[1] (numeric) = 1.1269319840201572483107345290484
absolute error = 5.27817158158653643e-14
relative error = 4.6836647254945368992069499999998e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9496
Order of pole = 4.437
x[1] = -0.941
y[1] (analytic) = 1.1293284335537029550007792366192
y[1] (numeric) = 1.129328433553756132516895508338
absolute error = 5.31775161162717188e-14
relative error = 4.7087733325668514106461599999998e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9485
Order of pole = 4.437
x[1] = -0.94
y[1] (analytic) = 1.1317325353864470501957331419951
y[1] (numeric) = 1.1317325353865006268903209973098
absolute error = 5.35766945878553147e-14
relative error = 4.7340420914523543924234699999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9475
Order of pole = 4.437
x[1] = -0.939
y[1] (analytic) = 1.1341443221332801041598145447204
y[1] (numeric) = 1.1341443221333340834435166984379
absolute error = 5.39792837021537175e-14
relative error = 4.7594721984430380101535000000002e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9465
Order of pole = 4.437
x[1] = -0.938
y[1] (analytic) = 1.1365638265830913399519233501355
y[1] (numeric) = 1.1365638265831457252682012270231
absolute error = 5.43853162778768876e-14
relative error = 4.7850648600508590170422000000001e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9455
Order of pole = 4.437
x[1] = -0.937
y[1] (analytic) = 1.1389910816998302903288267252867
y[1] (numeric) = 1.1389910816998850851543117198411
absolute error = 5.47948254849945544e-14
relative error = 4.8108212931060668926568000000002e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9445
Order of pole = 4.437
x[1] = -0.936
y[1] (analytic) = 1.1414261206236295752639262547412
y[1] (numeric) = 1.1414261206236847831087751308833
absolute error = 5.52078448488761421e-14
relative error = 4.8367427248565841465383700000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9435
Order of pole = 4.437
x[1] = -0.935
y[1] (analytic) = 1.1438689766719360897525353855868
y[1] (numeric) = 1.1438689766719917141607898695692
absolute error = 5.56244082544839824e-14
relative error = 4.8628303930684513997622400000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9425
Order of pole = 4.437
x[1] = -0.934
y[1] (analytic) = 1.1463196833406506739786578201356
y[1] (numeric) = 1.1463196833407067185286084406915
absolute error = 5.60445499506205559e-14
relative error = 4.8890855461273496283256299999998e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9415
Order of pole = 4.437
x[1] = -0.933
y[1] (analytic) = 1.1487782743052763386138841342233
y[1] (numeric) = 1.1487782743053328069184383647419
absolute error = 5.64683045542305186e-14
relative error = 4.9155094431412124136113999999998e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9405
Order of pole = 4.437
x[1] = -0.932
y[1] (analytic) = 1.1512447834220751187221182904015
y[1] (numeric) = 1.15124478342213201442917304868
absolute error = 5.68957070547582785e-14
relative error = 4.9421033540439409662062500000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9395
Order of pole = 4.437
x[1] = -0.931
y[1] (analytic) = 1.1537192447292336304544961592686
y[1] (numeric) = 1.1537192447292909572473147211703
absolute error = 5.73267928185619017e-14
relative error = 4.9688685597002351041295400000001e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9385
Order of pole = 4.437
x[1] = -0.93
y[1] (analytic) = 1.1562016924480374054371540789061
y[1] (numeric) = 1.1562016924480951670347474630424
absolute error = 5.77615975933841363e-14
relative error = 4.9958063520115532870006300000002e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9375
Order of pole = 4.437
x[1] = -0.929
y[1] (analytic) = 1.158692160984054078480537447772
y[1] (numeric) = 1.158692160984112278638050329129
absolute error = 5.82001575128813570e-14
relative error = 5.0229180340232152107993999999998e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9365
Order of pole = 4.437
x[1] = -0.928
y[1] (analytic) = 1.1611906849283255049727991082056
y[1] (numeric) = 1.1611906849283841474819003194488
absolute error = 5.86425091012112432e-14
relative error = 5.0502049200326604475191999999998e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9354
Order of pole = 4.437
x[1] = -0.927
y[1] (analytic) = 1.1636972990585688850616177719852
y[1] (numeric) = 1.1636972990586279737508954520014
absolute error = 5.90886892776800162e-14
relative error = 5.0776683356988768321145999999998e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9344
Order of pole = 4.437
x[1] = -0.926
y[1] (analytic) = 1.1662120383403869724785621072052
y[1] (numeric) = 1.1662120383404465112139235572815
absolute error = 5.95387353614500763e-14
relative error = 5.1053096181530127075495100000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9334
Order of pole = 4.437
memory used=175.4MB, alloc=4.5MB, time=26.42
x[1] = -0.925
y[1] (analytic) = 1.1687349379284874466180317101163
y[1] (numeric) = 1.1687349379285474393031080190045
absolute error = 5.99926850763088882e-14
relative error = 5.1331301161101868775013200000002e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9324
Order of pole = 4.437
x[1] = -0.924
y[1] (analytic) = 1.1712660331679115272489186286349
y[1] (numeric) = 1.1712660331679719778254741286161
absolute error = 6.04505765554999812e-14
relative error = 5.1611311899825107448992399999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9314
Order of pole = 4.437
x[1] = -0.923
y[1] (analytic) = 1.1738053595952719120115502447384
y[1] (numeric) = 1.1738053595953328244598968616793
absolute error = 6.09124483466169409e-14
relative error = 5.1893142119933370460937000000001e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9304
Order of pole = 4.437
x[1] = -0.922
y[1] (analytic) = 1.176352952940000117635295294
y[1] (numeric) = 1.1763529529400614959747118552818
absolute error = 6.13783394165612818e-14
relative error = 5.2176805662927497238953000000001e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9294
Order of pole = 4.437
x[1] = -0.921
y[1] (analytic) = 1.1789088491256033066035400274922
y[1] (numeric) = 1.1789088491256651548926965926002
absolute error = 6.18482891565651080e-14
relative error = 5.2462316490743100340135999999998e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9284
Order of pole = 4.437
x[1] = -0.92
y[1] (analytic) = 1.181473084270930681792672740226
y[1] (numeric) = 1.1814730842709930041300600197035
absolute error = 6.23223373872794775e-14
relative error = 5.2749688686930737035477499999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9274
Order of pole = 4.437
x[1] = -0.919
y[1] (analytic) = 1.1840456946914495324203551663466
y[1] (numeric) = 1.1840456946915123329447190957499
absolute error = 6.28005243639294033e-14
relative error = 5.3038936457848944709854599999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9264
Order of pole = 4.437
x[1] = -0.918
y[1] (analytic) = 1.1866267169005310154558129876294
y[1] (numeric) = 1.1866267169005942983465945240676
absolute error = 6.32828907815364382e-14
relative error = 5.3330074133870294882095000000001e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9254
Order of pole = 4.437
x[1] = -0.917
y[1] (analytic) = 1.1892161876107457574712506986645
y[1] (numeric) = 1.1892161876108095269490309084674
absolute error = 6.37694777802098029e-14
relative error = 5.3623116170600621160581000000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9244
Order of pole = 4.437
x[1] = -0.916
y[1] (analytic) = 1.1918141437351693627488954862423
y[1] (numeric) = 1.1918141437352336230758459932771
absolute error = 6.42603269505070348e-14
relative error = 5.3918077150111581098183600000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9233
Order of pole = 4.437
x[1] = -0.915
y[1] (analytic) = 1.1944206223886979143027091848557
y[1] (numeric) = 1.1944206223887626697830480500022
absolute error = 6.47554803388651465e-14
relative error = 5.4214971782186711143609000000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9223
Order of pole = 4.437
x[1] = -0.914
y[1] (analytic) = 1.1970356608893735553275867641373
y[1] (numeric) = 1.1970356608894388103080398674378
absolute error = 6.52549804531033005e-14
relative error = 5.4513814905581137927798500000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9213
Order of pole = 4.437
x[1] = -0.913
y[1] (analytic) = 1.1996592967597202394519956332402
y[1] (numeric) = 1.1996592967597859983222636312619
absolute error = 6.57588702679980217e-14
relative error = 5.4814621489295110948468999999998e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9203
Order of pole = 4.437
x[1] = -0.912
y[1] (analytic) = 1.2022915677280897390426152246181
y[1] (numeric) = 1.2022915677281560062358461566028
absolute error = 6.62671932309319847e-14
relative error = 5.5117406633861523614301500000001e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9193
Order of pole = 4.437
x[1] = -0.911
y[1] (analytic) = 1.2049325117300180016917252464689
y[1] (numeric) = 1.2049325117300847816849928638962
absolute error = 6.67799932676174273e-14
relative error = 5.5422185572647590499670600000002e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9183
Order of pole = 4.437
x[1] = -0.91
y[1] (analytic) = 1.2075821669095919459099795797856
y[1] (numeric) = 1.2075821669096592432247674750481
absolute error = 6.72973147878952625e-14
relative error = 5.5728973673170854771512499999998e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9173
Order of pole = 4.437
x[1] = -0.909
y[1] (analytic) = 1.2102405716208267879489084840285
y[1] (numeric) = 1.210240571620894607151600095001
absolute error = 6.78192026916109725e-14
relative error = 5.6037786438429697579244999999998e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9163
Order of pole = 4.437
x[1] = -0.908
y[1] (analytic) = 1.2129077644290539925891335593385
y[1] (numeric) = 1.2129077644291223382915081277252
absolute error = 6.83457023745683867e-14
relative error = 5.6348639508248524940615499999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9153
Order of pole = 4.437
x[1] = -0.907
y[1] (analytic) = 1.2155837841123199416519783626086
y[1] (numeric) = 1.2155837841123888185117129250749
absolute error = 6.88768597345624663e-14
relative error = 5.6661548660637812901695000000002e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9143
Order of pole = 4.437
x[1] = -0.906
y[1] (analytic) = 1.2182686696627954149240348571032
y[1] (numeric) = 1.2182686696628648276452123493325
absolute error = 6.94127211774922293e-14
relative error = 5.6976529813169189021924099999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9133
Order of pole = 4.437
x[1] = -0.905
y[1] (analytic) = 1.220962460288195979126425778913
y[1] (numeric) = 1.2209624602882659324600493338858
absolute error = 6.99533336235549728e-14
relative error = 5.7293599024365735152492800000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9123
Order of pole = 4.437
x[1] = -0.904
y[1] (analytic) = 1.2236651954132133815131109607363
y[1] (numeric) = 1.2236651954132838802576244836996
absolute error = 7.04987445135229633e-14
relative error = 5.7612772495107695499136099999998e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9113
Order of pole = 4.437
x[1] = -0.903
y[1] (analytic) = 1.2263769146809580456457487644253
y[1] (numeric) = 1.2263769146810290946475638682132
absolute error = 7.10490018151037879e-14
relative error = 5.7934066570053779691538999999998e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9102
Order of pole = 4.437
x[1] = -0.902
y[1] (analytic) = 1.2290976579544127678664708304398
y[1] (numeric) = 1.2290976579544843720205002160135
absolute error = 7.16041540293855737e-14
relative error = 5.8257497739078249690188500000002e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
memory used=179.2MB, alloc=4.5MB, time=27.00
Real estimate of pole used
Radius of convergence = 0.9092
Order of pole = 4.437
x[1] = -0.901
y[1] (analytic) = 1.2318274653178977139745898630454
y[1] (numeric) = 1.23182746531796987822478723135
absolute error = 7.21642501973683046e-14
relative error = 5.8583082638723984410889200000001e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9082
Order of pole = 4.437
x[1] = -0.9
y[1] (analytic) = 1.2345663770785468166088683841131
y[1] (numeric) = 1.2345663770786195459487749665964
absolute error = 7.27293399065824833e-14
relative error = 5.8910838053671718055483300000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9072
Order of pole = 4.437
x[1] = -0.899
y[1] (analytic) = 1.2373144337677956748436653212934
y[1] (numeric) = 1.2373144337678689743169631176975
absolute error = 7.32994732977964041e-14
relative error = 5.9240780918225649386428200000002e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9062
Order of pole = 4.437
x[1] = -0.898
y[1] (analytic) = 1.2400716761428810585251827555633
y[1] (numeric) = 1.2400716761429549332262545688872
absolute error = 7.38747010718133239e-14
relative error = 5.9572928317815623459579499999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9052
Order of pole = 4.437
x[1] = -0.897
y[1] (analytic) = 1.2428381451883521209032947639229
y[1] (numeric) = 1.2428381451884265759777911237616
absolute error = 7.44550744963598387e-14
relative error = 5.9907297490516089816407000000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9042
Order of pole = 4.437
x[1] = -0.896
y[1] (analytic) = 1.2456138821175934241551935248008
y[1] (numeric) = 1.2456138821176684648006065915918
absolute error = 7.50406454130667910e-14
relative error = 6.0243905828582041950247000000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9032
Order of pole = 4.437
x[1] = -0.895
y[1] (analytic) = 1.2483989283743598834494760469698
y[1] (numeric) = 1.2483989283744355149157205910284
absolute error = 7.56314662445440586e-14
relative error = 6.0582770880002149084123599999998e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9022
Order of pole = 4.437
x[1] = -0.894
y[1] (analytic) = 1.2511933256343237362634612761922
y[1] (numeric) = 1.2511933256343999638534628267846
absolute error = 7.62275900015505924e-14
relative error = 6.0923910350069290817998799999998e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9012
Order of pole = 4.437
x[1] = -0.893
y[1] (analytic) = 1.2539971158066336447426170919807
y[1] (numeric) = 1.2539971158067104738129073530748
absolute error = 7.68290702902610941e-14
relative error = 6.1267342102968709490044999999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9002
Order of pole = 4.437
x[1] = -0.892
y[1] (analytic) = 1.2568103410354860399791369483388
y[1] (numeric) = 1.2568103410355634759404565790861
absolute error = 7.74359613196307473e-14
relative error = 6.1613084163383998550454500000001e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8992
Order of pole = 4.437
x[1] = -0.891
y[1] (analytic) = 1.2596330437017088181870857381828
y[1] (numeric) = 1.2596330437017868665049945976192
absolute error = 7.80483179088594364e-14
relative error = 6.1961154718121147088104799999998e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8981
Order of pole = 4.437
x[1] = -0.89
y[1] (analytic) = 1.2624652664243574998642849838594
y[1] (numeric) = 1.2624652664244361660597799407702
absolute error = 7.86661954949569108e-14
relative error = 6.2311572117750864001590799999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8971
Order of pole = 4.437
x[1] = -0.889
y[1] (analytic) = 1.2653070520623239641563818291785
y[1] (numeric) = 1.2653070520624032538065222395535
absolute error = 7.92896501404103750e-14
relative error = 6.2664354878269408390749999999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8961
Order of pole = 4.437
x[1] = -0.888
y[1] (analytic) = 1.2681584437159578717764997558795
y[1] (numeric) = 1.268158443716037790515040711889
absolute error = 7.99187385409560095e-14
relative error = 6.3019521682778156511177500000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8951
Order of pole = 4.437
x[1] = -0.887
y[1] (analytic) = 1.2710194847287008909846587948193
y[1] (numeric) = 1.2710194847287814445026922507681
absolute error = 8.05535180334559488e-14
relative error = 6.3377091383182136837376000000001e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8941
Order of pole = 4.437
x[1] = -0.886
y[1] (analytic) = 1.2738902186887338422949387067721
y[1] (numeric) = 1.273890218688815036341542589042
absolute error = 8.11940466038822699e-14
relative error = 6.3737083001907770224690300000001e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8931
Order of pole = 4.437
x[1] = -0.885
y[1] (analytic) = 1.2767706894306368787553017902879
y[1] (numeric) = 1.276770689430718719138197199855
absolute error = 8.18403828954095671e-14
relative error = 6.4099515733640053601464599999998e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8921
Order of pole = 4.437
x[1] = -0.884
y[1] (analytic) = 1.2796609410370628198352564504509
y[1] (numeric) = 1.2796609410371453124214730681666
absolute error = 8.24925862166177157e-14
relative error = 6.4464408947079430257774899999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8911
Order of pole = 4.437
x[1] = -0.883
y[1] (analytic) = 1.2825610178404237581602944760097
y[1] (numeric) = 1.2825610178405069088768442824601
absolute error = 8.31507165498064504e-14
relative error = 6.4831782186718591312376000000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8901
Order of pole = 4.437
x[1] = -0.882
y[1] (analytic) = 1.2854709644245910595494424269692
y[1] (numeric) = 1.2854709644246748743840018503825
absolute error = 8.38148345594234133e-14
relative error = 6.5201655174639458791402499999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8891
Order of pole = 4.437
x[1] = -0.881
y[1] (analytic) = 1.2883908256266088780435012278365
y[1] (numeric) = 1.288390825626693363045101835186
absolute error = 8.44850016006073495e-14
relative error = 6.5574047812330601602618999999998e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8881
Order of pole = 4.437
x[1] = -0.88
y[1] (analytic) = 1.2913206465384213088567809184131
y[1] (numeric) = 1.2913206465385064701365087665703
absolute error = 8.51612797278481572e-14
relative error = 6.5948980182525340783837199999998e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8871
Order of pole = 4.437
x[1] = -0.879
y[1] (analytic) = 1.2942604725086133034445448215344
y[1] (numeric) = 1.2942604725086991471762485870599
absolute error = 8.58437317037655255e-14
relative error = 6.6326472551060803153371000000001e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8861
Order of pole = 4.437
x[1] = -0.878
y[1] (analytic) = 1.2972103491441654721521368297476
y[1] (numeric) = 1.2972103491442520045731448376692
absolute error = 8.65324210080079216e-14
relative error = 6.6706545368758186642616000000001e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
memory used=183.1MB, alloc=4.6MB, time=27.58
Real estimate of pole used
Radius of convergence = 0.885
Order of pole = 4.437
x[1] = -0.877
y[1] (analytic) = 1.3001703223122229012000572074942
y[1] (numeric) = 1.3001703223123101286119034812107
absolute error = 8.72274118462737165e-14
relative error = 6.7089219273324503571644999999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.884
Order of pole = 4.437
x[1] = -0.876
y[1] (analytic) = 1.3031404381418781120622588375727
y[1] (numeric) = 1.3031404381419660408314182938398
absolute error = 8.79287691594562671e-14
relative error = 6.7474515091276071878396699999998e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.883
Order of pole = 4.437
x[1] = -0.875
y[1] (analytic) = 1.3061207430259682926128423015937
y[1] (numeric) = 1.3061207430260569291714752163966
absolute error = 8.86365586329148029e-14
relative error = 6.7862453839884028885115400000001e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.882
Order of pole = 4.437
x[1] = -0.874
y[1] (analytic) = 1.3091112836228869307493222076329
y[1] (numeric) = 1.3091112836229762815960280806254
absolute error = 8.93508467058729925e-14
relative error = 6.8253056729142143891922500000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.881
Order of pole = 4.437
x[1] = -0.873
y[1] (analytic) = 1.3121121068584099825489089787831
y[1] (numeric) = 1.3121121068585000542494899258831
absolute error = 9.00717005809471000e-14
relative error = 6.8646345163757213323000000000002e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.88
Order of pole = 4.437
x[1] = -0.872
y[1] (analytic) = 1.3151232599275367083779927273684
y[1] (numeric) = 1.315123259927627507566226533034
absolute error = 9.07991882338056656e-14
relative error = 6.9042340745162321037255999999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.879
Order of pole = 4.437
x[1] = -0.871
y[1] (analytic) = 1.3181447902963453117544243529886
y[1] (numeric) = 1.3181447902964368451328473156715
absolute error = 9.15333784229626829e-14
relative error = 6.9441065273553255680621800000002e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.878
Order of pole = 4.437
x[1] = -0.87
y[1] (analytic) = 1.3211767457038635171574618080832
y[1] (numeric) = 1.3211767457039557914981615143543
absolute error = 9.22743406997062711e-14
relative error = 6.9842540749948376301861100000001e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.877
Order of pole = 4.437
x[1] = -0.869
y[1] (analytic) = 1.3242191741639542243915875004304
y[1] (numeric) = 1.3242191741640472465370056653078
absolute error = 9.30221454181648774e-14
relative error = 7.0246789378272225147138799999998e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.876
Order of pole = 4.437
x[1] = -0.868
y[1] (analytic) = 1.3272721239672163785380097554501
y[1] (numeric) = 1.3272721239673101554017552685249
absolute error = 9.37768637455130748e-14
relative error = 7.0653833567463188381190000000001e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.875
Order of pole = 4.437
x[1] = -0.867
y[1] (analytic) = 1.3303356436829011959717436709282
y[1] (numeric) = 1.3303356436829957345394159899824
absolute error = 9.45385676723190542e-14
relative error = 7.1063695933605509851597999999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.874
Order of pole = 4.437
x[1] = -0.866
y[1] (analytic) = 1.3334097821608438883829339548801
y[1] (numeric) = 1.3334097821609391957129569908268
absolute error = 9.53073300230359467e-14
relative error = 7.1476399302085969479291899999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8729
Order of pole = 4.437
x[1] = -0.865
y[1] (analytic) = 1.3364945885334110282187467422944
y[1] (numeric) = 1.3364945885335071114432133814363
absolute error = 9.60832244666391419e-14
relative error = 7.1891966709775538587269400000002e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8719
Order of pole = 4.437
x[1] = -0.864
y[1] (analytic) = 1.3395901122174637004569341872774
y[1] (numeric) = 1.3395901122175605667824615990844
absolute error = 9.68663255274118070e-14
relative error = 7.2310421407236331690078999999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8709
Order of pole = 4.437
x[1] = -0.863
y[1] (analytic) = 1.3426964029163365871342830672557
y[1] (numeric) = 1.3426964029164342438428789481028
absolute error = 9.76567085958808471e-14
relative error = 7.2731786860954178494666999999998e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8699
Order of pole = 4.437
x[1] = -0.862
y[1] (analytic) = 1.3458135106218331325828179989099
y[1] (numeric) = 1.3458135106219315870327579044897
absolute error = 9.84544499399055798e-14
relative error = 7.3156086755597141542491000000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8689
Order of pole = 4.437
x[1] = -0.861
y[1] (analytic) = 1.3489414856162369388740655207858
y[1] (numeric) = 1.3489414856163361985007814422257
absolute error = 9.92596267159214399e-14
relative error = 7.3583344996300313669547800000002e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8679
Order of pole = 4.437
x[1] = -0.86
y[1] (analytic) = 1.352080378474339542537124746992
y[1] (numeric) = 1.3520803784744396148541050880555
absolute error = 1.000723169803410635e-13
relative error = 7.4013585710977230905663499999998e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8669
Order of pole = 4.437
x[1] = -0.859
y[1] (analytic) = 1.3552302400654847251999642219217
y[1] (numeric) = 1.3552302400655856177996653370636
absolute error = 1.008925997011151419e-13
relative error = 7.4446833252658243135455799999998e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8659
Order of pole = 4.437
x[1] = -0.858
y[1] (analytic) = 1.3583911215556295124055069176068
y[1] (numeric) = 1.3583911215557312329602763730782
absolute error = 1.017205547694554714e-13
relative error = 7.4883112201856187103180999999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8649
Order of pole = 4.437
x[1] = -0.857
y[1] (analytic) = 1.361563074409422016474913200354
y[1] (numeric) = 1.3615630744095245727379249230237
absolute error = 1.025562630117226697e-13
relative error = 7.5322447368959714761165000000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8639
Order of pole = 4.437
x[1] = -0.856
y[1] (analytic) = 1.3647461503922962809302655659534
y[1] (numeric) = 1.3647461503923996807364670470196
absolute error = 1.033998062014810662e-13
relative error = 7.5764863796654632004189400000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8629
Order of pole = 4.437
x[1] = -0.855
y[1] (analytic) = 1.3679404015725842856478428947808
y[1] (numeric) = 1.3679404015726885369149146180966
absolute error = 1.042512670717233158e-13
relative error = 7.6210386762373608656010799999998e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8619
Order of pole = 4.437
x[1] = -0.854
y[1] (analytic) = 1.3711458803236452735915932303786
y[1] (numeric) = 1.3711458803237503843209204977078
absolute error = 1.051107293272673292e-13
relative error = 7.6659041780774626730156399999998e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
memory used=186.9MB, alloc=4.6MB, time=28.17
Real estimate of pole used
Radius of convergence = 0.8609
Order of pole = 4.437
x[1] = -0.853
y[1] (analytic) = 1.3743626393260125616745234397548
y[1] (numeric) = 1.3743626393261185399521807679071
absolute error = 1.059782776573281523e-13
relative error = 7.7110854606248536895003000000001e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8598
Order of pole = 4.437
x[1] = -0.852
y[1] (analytic) = 1.3775907315695580000137759073157
y[1] (numeric) = 1.3775907315696648540115241747899
absolute error = 1.068539977482674742e-13
relative error = 7.7565851235456100859151000000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8588
Order of pole = 4.437
x[1] = -0.851
y[1] (analytic) = 1.3808302103556742455834145721774
y[1] (numeric) = 1.3808302103557819835597110956627
absolute error = 1.077379762965234853e-13
relative error = 7.8024057909894901101230599999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8578
Order of pole = 4.437
x[1] = -0.85
y[1] (analytic) = 1.3840811292994750180276567091257
y[1] (numeric) = 1.3840811292995836483286784329775
absolute error = 1.086303010217238518e-13
relative error = 7.8485501118496504649351799999998e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8568
Order of pole = 4.437
x[1] = -0.849
y[1] (analytic) = 1.3873435423320135071767281444835
y[1] (numeric) = 1.3873435423321230382374081291044
absolute error = 1.095310606799846209e-13
relative error = 7.8950207600254274713961800000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8558
Order of pole = 4.437
x[1] = -0.848
y[1] (analytic) = 1.3906175037025191036079571133562
y[1] (numeric) = 1.3906175037026295439530345112704
absolute error = 1.104403450773979142e-13
relative error = 7.9418204346882227090790999999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8548
Order of pole = 4.437
x[1] = -0.847
y[1] (analytic) = 1.3939030679806526254164285415592
y[1] (numeric) = 1.3939030679807639836615122528774
absolute error = 1.113582450837113182e-13
relative error = 7.9889518605505336789862000000001e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8538
Order of pole = 4.437
x[1] = -0.846
y[1] (analytic) = 1.3972002900587802162027728836956
y[1] (numeric) = 1.3972002900588925010554190856205
absolute error = 1.122848526462019249e-13
relative error = 8.0364177881381703083653300000003e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8528
Order of pole = 4.437
x[1] = -0.845
y[1] (analytic) = 1.4005092251542660911507424099403
y[1] (numeric) = 1.4005092251543793114115461579683
absolute error = 1.132202608037480280e-13
relative error = 8.0842209940656989440727999999997e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8518
Order of pole = 4.437
x[1] = -0.844
y[1] (analytic) = 1.4038299288117843099544176422115
y[1] (numeric) = 1.4038299288118984745181187437405
absolute error = 1.141645637011015290e-13
relative error = 8.1323642813151559863272999999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8508
Order of pole = 4.437
x[1] = -0.843
y[1] (analytic) = 1.4071624569056497572644761837754
y[1] (numeric) = 1.4071624569057648751210795479319
absolute error = 1.151178566033641565e-13
relative error = 8.1808504795180737816725000000001e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8498
Order of pole = 4.437
x[1] = -0.842
y[1] (analytic) = 1.4105068656421685132552382698723
y[1] (numeric) = 1.4105068656422845934911489405299
absolute error = 1.160802359106706576e-13
relative error = 8.2296824452408622765383999999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8488
Order of pole = 4.437
x[1] = -0.841
y[1] (analytic) = 1.413863211562007798869474976035
y[1] (numeric) = 1.4138632115621248506686480582055
absolute error = 1.170517991730821705e-13
relative error = 8.2788630622735903715581000000001e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8477
Order of pole = 4.437
x[1] = -0.84
y[1] (analytic) = 1.4172315515425856822765273858739
y[1] (numeric) = 1.4172315515427037149216330789134
absolute error = 1.180326451056930395e-13
relative error = 8.3283952419222114364239499999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8467
Order of pole = 4.437
x[1] = -0.839
y[1] (analytic) = 1.4206119428004807350814436826808
y[1] (numeric) = 1.4206119428005997579550476370745
absolute error = 1.190228736039543937e-13
relative error = 8.3782819233042784722091399999997e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8457
Order of pole = 4.437
x[1] = -0.838
y[1] (analytic) = 1.4240044428938618288489060085867
y[1] (numeric) = 1.4240044428939818514346652264466
absolute error = 1.200225857592178599e-13
relative error = 8.4285260736481946025475500000003e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8447
Order of pole = 4.437
x[1] = -0.837
y[1] (analytic) = 1.4274091097249382645560043964201
y[1] (numeric) = 1.4274091097250592964398788992606
absolute error = 1.210318838745028405e-13
relative error = 8.4791306885960454969084999999998e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8437
Order of pole = 4.437
x[1] = -0.836
y[1] (analytic) = 1.4308260015424304296627400031764
y[1] (numeric) = 1.4308260015425524805342204940227
absolute error = 1.220508714804908463e-13
relative error = 8.5300987925100611006531100000002e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8427
Order of pole = 4.437
x[1] = -0.835
y[1] (analytic) = 1.4342551769440611795888277258737
y[1] (numeric) = 1.4342551769441842592421794762995
absolute error = 1.230796533517504258e-13
relative error = 8.5814334387827542378830799999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8417
Order of pole = 4.437
x[1] = -0.834
y[1] (analytic) = 1.4376966948790681425102471831928
y[1] (numeric) = 1.4376966948791922608457703794955
absolute error = 1.241183355231963027e-13
relative error = 8.6331377101507850717103899999997e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8407
Order of pole = 4.437
x[1] = -0.833
y[1] (analytic) = 1.4411506146507371485393938520515
y[1] (numeric) = 1.4411506146508623155647006384356
absolute error = 1.251670253067863841e-13
relative error = 8.6852147190126004063148999999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8397
Order of pole = 4.437
x[1] = -0.832
y[1] (analytic) = 1.4446169959189569865289465130557
y[1] (numeric) = 1.4446169959190832123602549734256
absolute error = 1.262258313084603699e-13
relative error = 8.7376676077498979554027500000002e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8387
Order of pole = 4.437
x[1] = -0.831
y[1] (analytic) = 1.4480958987027956939420356173667
y[1] (numeric) = 1.4480958987029229888054809411224
absolute error = 1.272948634453237557e-13
relative error = 8.7904995490529663383703400000001e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8377
Order of pole = 4.437
memory used=190.7MB, alloc=4.6MB, time=28.75
x[1] = -0.83
y[1] (analytic) = 1.4515873833830985874603172299068
y[1] (numeric) = 1.4515873833832269616932803109907
absolute error = 1.283742329630810839e-13
relative error = 8.8437137462499521779793899999998e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8367
Order of pole = 4.437
x[1] = -0.829
y[1] (analytic) = 1.4550915107051082442574813530023
y[1] (numeric) = 1.4550915107052377083099350753679
absolute error = 1.294640524537223656e-13
relative error = 8.8973134336401065979675199999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8357
Order of pole = 4.437
x[1] = -0.828
y[1] (analytic) = 1.4586083417811066461489093256124
y[1] (numeric) = 1.4586083417812372105847827922718
absolute error = 1.305644358734666594e-13
relative error = 8.9513018768310639684749000000002e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8346
Order of pole = 4.437
x[1] = -0.827
y[1] (analytic) = 1.4621379380930797011390054537745
y[1] (numeric) = 1.4621379380932113766375664206389
absolute error = 1.316754985609668644e-13
relative error = 9.0056823730802067569092000000001e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8336
Order of pole = 4.437
x[1] = -0.826
y[1] (analytic) = 1.4656803614954043592265311596316
y[1] (numeric) = 1.4656803614955371565837869394829
absolute error = 1.327973572557798513e-13
relative error = 9.0604582516401709605410100000003e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8326
Order of pole = 4.437
x[1] = -0.825
y[1] (analytic) = 1.4692356742175585416954391986201
y[1] (numeric) = 1.4692356742176924718255563047454
absolute error = 1.339301301171061253e-13
relative error = 9.1156328741085473638437800000000e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8316
Order of pole = 4.437
x[1] = -0.824
y[1] (analytic) = 1.4728039388668541055146197882992
y[1] (numeric) = 1.472803938866989179451362591588
absolute error = 1.350739367428032888e-13
relative error = 9.1712096347818348619557599999998e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8306
Order of pole = 4.437
x[1] = -0.823
y[1] (analytic) = 1.4763852184311930668950142471174
y[1] (numeric) = 1.4763852184313292957932029247588
absolute error = 1.362288981886776414e-13
relative error = 9.2271919610137026849461999999997e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8296
Order of pole = 4.437
x[1] = -0.822
y[1] (analytic) = 1.479979576281847310507115001813
y[1] (numeric) = 1.4799795762819847056441030601442
absolute error = 1.373951369880583312e-13
relative error = 9.2835833135776193516871999999998e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8286
Order of pole = 4.437
x[1] = -0.821
y[1] (analytic) = 1.4835870761762620133463493372817
y[1] (numeric) = 1.4835870761764005861235209958272
absolute error = 1.385727771716585455e-13
relative error = 9.3403871870339069325910999999997e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8276
Order of pole = 4.437
x[1] = -0.82
y[1] (analytic) = 1.4872077822608830147486395766812
y[1] (numeric) = 1.4872077822610227766929273049887
absolute error = 1.397619442877283075e-13
relative error = 9.3976071101012801691307499999999e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8266
Order of pole = 4.437
x[1] = -0.819
y[1] (analytic) = 1.490841759074008366603951923335
y[1] (numeric) = 1.4908417590741493293693744268564
absolute error = 1.409627654225035214e-13
relative error = 9.4552466460329307021306799999997e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8256
Order of pole = 4.437
x[1] = -0.818
y[1] (analytic) = 1.4944890715486643003923033812815
y[1] (numeric) = 1.4944890715488064757615243372721
absolute error = 1.421753692209559906e-13
relative error = 9.5133093929972177210225000000002e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8246
Order of pole = 4.437
x[1] = -0.817
y[1] (analytic) = 1.4981497850155058502749104855503
y[1] (numeric) = 1.4981497850156492501608183347636
absolute error = 1.433998859078492133e-13
relative error = 9.5717989844630271385617000000003e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8236
Order of pole = 4.437
x[1] = -0.816
y[1] (analytic) = 1.5018239652057423741133606765417
y[1] (numeric) = 1.501823965205887010560669781385
absolute error = 1.446364473091048433e-13
relative error = 9.6307190895898623645208099999997e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8225
Order of pole = 4.437
x[1] = -0.815
y[1] (analytic) = 1.5055116782540882169622989765532
y[1] (numeric) = 1.505511678254234102149172461341
absolute error = 1.458851868734847878e-13
relative error = 9.6900734136227306661242799999997e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8215
Order of pole = 4.437
x[1] = -0.814
y[1] (analytic) = 1.5092129907017387642865874732303
y[1] (numeric) = 1.5092129907018859105262820672291
absolute error = 1.471462396945939988e-13
relative error = 9.7498656982918899822883600000002e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8205
Order of pole = 4.437
x[1] = -0.813
y[1] (analytic) = 1.512927969499372134892657760564
y[1] (numeric) = 1.5129279694995205546351909696684
absolute error = 1.484197425332091044e-13
relative error = 9.8100997222175221735268000000001e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8195
Order of pole = 4.437
x[1] = -0.812
y[1] (analytic) = 1.5166566820101767663362882861021
y[1] (numeric) = 1.5166566820103264721701282242153
absolute error = 1.497058338399381132e-13
relative error = 9.8707793013193995247854000000001e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8185
Order of pole = 4.437
x[1] = -0.811
y[1] (analytic) = 1.5203991960129051483757575388994
y[1] (numeric) = 1.5203991960130561530295357554158
absolute error = 1.510046537782165164e-13
relative error = 9.9319082892316123599640800000001e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8175
Order of pole = 4.437
x[1] = -0.81
y[1] (analytic) = 1.5241555797049539628807150118656
y[1] (numeric) = 1.5241555797051062792249626570698
absolute error = 1.523163442476452042e-13
relative error = 9.9934905777224266120824199999997e-12 %
Correct digits = 13
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8165
Order of pole = 4.437
x[1] = -0.809
y[1] (analytic) = 1.527925901705470891483646609074
y[1] (numeric) = 1.5279259017056245325325542847826
absolute error = 1.536410489076757086e-13
relative error = 1.0055530097119341311594520000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8155
Order of pole = 4.437
x[1] = -0.808
y[1] (analytic) = 1.5317102310584883551729683778423
y[1] (numeric) = 1.5317102310586433340861700262195
absolute error = 1.549789132016483772e-13
relative error = 1.0118030816739416778067800000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8145
Order of pole = 4.437
x[1] = -0.807
y[1] (analytic) = 1.5355086372360844529750479846449
y[1] (numeric) = 1.5355086372362407830594291738306
absolute error = 1.563300843811891857e-13
relative error = 1.0180996745324945718712500000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
memory used=194.5MB, alloc=4.6MB, time=29.34
Real estimate of pole used
Radius of convergence = 0.8135
Order of pole = 4.437
x[1] = -0.806
y[1] (analytic) = 1.5393211901415713698573203188858
y[1] (numeric) = 1.5393211901417290645688512898744
absolute error = 1.576947115309709886e-13
relative error = 1.0244431931484540012113820000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8125
Order of pole = 4.437
x[1] = -0.805
y[1] (analytic) = 1.5431479601127115270066324499326
y[1] (numeric) = 1.5431479601128705999522262950501
absolute error = 1.590729455938451175e-13
relative error = 1.0308340464139707611305500000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8115
Order of pole = 4.437
x[1] = -0.804
y[1] (analytic) = 1.5469890179249617506965318053207
y[1] (numeric) = 1.5469890179251222156359281546522
absolute error = 1.604649393963493315e-13
relative error = 1.0372726472976994582023550000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8105
Order of pole = 4.437
x[1] = -0.803
y[1] (analytic) = 1.5508444347947457390549154014361
y[1] (numeric) = 1.5508444347949076099025899996716
absolute error = 1.618708476745982355e-13
relative error = 1.0437594128905768823275500000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8094
Order of pole = 4.437
x[1] = -0.802
y[1] (analytic) = 1.554714282382755109179810480329
y[1] (numeric) = 1.554714282382918400006911042715
absolute error = 1.632908271005623860e-13
relative error = 1.0502947644521722948713000000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8084
Order of pole = 4.437
x[1] = -0.801
y[1] (analytic) = 1.5585986327972793102265890692361
y[1] (numeric) = 1.5585986327974440352628978116491
absolute error = 1.647250363087424130e-13
relative error = 1.0568791274576174966562600000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8074
Order of pole = 4.437
x[1] = -0.8
y[1] (analytic) = 1.5624975585975646913051698356721
y[1] (numeric) = 1.5624975585977308649410930802723
absolute error = 1.661736359232446002e-13
relative error = 1.0635129316451246737260020000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8064
Order of pole = 4.437
x[1] = -0.799
y[1] (analytic) = 1.5664111327972030162812773142941
y[1] (numeric) = 1.5664111327973706530698625787699
absolute error = 1.676367885852644758e-13
relative error = 1.0701966110641001187967160000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8054
Order of pole = 4.437
x[1] = -0.798
y[1] (analytic) = 1.570339428867549720872166518793
y[1] (numeric) = 1.5703394288677188355311475038775
absolute error = 1.691146589809850845e-13
relative error = 1.0769306041238620673502250000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8044
Order of pole = 4.437
x[1] = -0.797
y[1] (analytic) = 1.5742825207411722107649438768281
y[1] (numeric) = 1.5742825207413428181788137735543
absolute error = 1.706074138698967262e-13
relative error = 1.0837153536429709944950200000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8034
Order of pole = 4.437
x[1] = -0.796
y[1] (analytic) = 1.5782404828153285028652955965512
y[1] (numeric) = 1.5782404828155006180874091416199
absolute error = 1.721152221135450687e-13
relative error = 1.0905513068991808579448790000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8024
Order of pole = 4.437
x[1] = -0.795
y[1] (analytic) = 1.5822133899554765152066528908621
y[1] (numeric) = 1.5822133899556501534613576055249
absolute error = 1.736382547047146628e-13
relative error = 1.0974389156800198947083280000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8014
Order of pole = 4.437
x[1] = -0.794
y[1] (analytic) = 1.5862013174988143145151696362999
y[1] (numeric) = 1.5862013174989894911999666913125
absolute error = 1.751766847970550126e-13
relative error = 1.1043786363340097097850620000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.8004
Order of pole = 4.437
x[1] = -0.793
y[1] (analytic) = 1.5902043412578516339349606424426
y[1] (numeric) = 1.5902043412580283646226957989227
absolute error = 1.767306877351564801e-13
relative error = 1.1113709298225315251088500000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7994
Order of pole = 4.437
x[1] = -0.792
y[1] (analytic) = 1.5942225375240129769714554454656
y[1] (numeric) = 1.5942225375241912774125405289001
absolute error = 1.783004410850834345e-13
relative error = 1.1184162617723486054164250000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7984
Order of pole = 4.437
x[1] = -0.791
y[1] (analytic) = 1.5982559830712726273090803315422
y[1] (numeric) = 1.5982559830714525134337457037261
absolute error = 1.798861246653721839e-13
relative error = 1.1255151025287939876691980000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7974
Order of pole = 4.437
x[1] = -0.79
y[1] (analytic) = 1.602304755159821887803416434199
y[1] (numeric) = 1.6023047551600033757239949355656
absolute error = 1.814879205785013666e-13
relative error = 1.1326679272096328139642660000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7963
Order of pole = 4.437
x[1] = -0.789
y[1] (analytic) = 1.6063689315397688756381300580542
y[1] (numeric) = 1.6063689315399519816513729006651
absolute error = 1.831060132428426109e-13
relative error = 1.1398752157596086782268980000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7953
Order of pole = 4.437
x[1] = -0.788
y[1] (analytic) = 1.6104485904548712043739783716754
y[1] (numeric) = 1.6104485904550559449634034710896
absolute error = 1.847405894250994142e-13
relative error = 1.1471374530056835575041900000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7943
Order of pole = 4.437
x[1] = -0.787
y[1] (analytic) = 1.6145438106463018874017146455269
y[1] (numeric) = 1.6145438106464882792399878878614
absolute error = 1.863918382732423345e-13
relative error = 1.1544551287129810471926500000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7933
Order of pole = 4.437
x[1] = -0.786
y[1] (analytic) = 1.6186546713564488011434176598462
y[1] (numeric) = 1.6186546713566368610947676085763
absolute error = 1.880599513499487301e-13
relative error = 1.1618287376414427560958970000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7923
Order of pole = 4.437
x[1] = -0.785
y[1] (analytic) = 1.6227812523327480502283253222032
y[1] (numeric) = 1.6227812523329377953509918776347
absolute error = 1.897451226665554315e-13
relative error = 1.1692587796032078733151900000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7913
Order of pole = 4.437
x[1] = -0.784
y[1] (analytic) = 1.6269236338315515808003488124271
y[1] (numeric) = 1.6269236338317430283490663453082
absolute error = 1.914475487175328811e-13
relative error = 1.1767457595207260809828270000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7903
Order of pole = 4.437
x[1] = -0.783
y[1] (analytic) = 1.6310818966220293920957771289696
y[1] (numeric) = 1.6310818966222225595242926183972
absolute error = 1.931674285154894276e-13
relative error = 1.1842901874856141316728400000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
memory used=198.3MB, alloc=4.6MB, time=29.93
Real estimate of pole used
Radius of convergence = 0.7893
Order of pole = 4.437
x[1] = -0.782
y[1] (analytic) = 1.6352561219901067004619598544622
y[1] (numeric) = 1.6352561219903016054255865690799
absolute error = 1.949049636267146177e-13
relative error = 1.1918925788182665658899250000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7883
Order of pole = 4.437
x[1] = -0.781
y[1] (analytic) = 1.6394463917424364140716962696037
y[1] (numeric) = 1.6394463917426330744299035400941
absolute error = 1.966603582072704904e-13
relative error = 1.1995534541282312286536480000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7873
Order of pole = 4.437
x[1] = -0.78
y[1] (analytic) = 1.6436527882104072807243906568201
y[1] (numeric) = 1.6436527882106057145434302968559
absolute error = 1.984338190396400358e-13
relative error = 1.2072733393753603742075580000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7863
Order of pole = 4.437
x[1] = -0.779
y[1] (analytic) = 1.6478753942541880753144970189934
y[1] (numeric) = 1.6478753942543883008700669611438
absolute error = 2.002255555699421504e-13
relative error = 1.2150527659317483443303680000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7853
Order of pole = 4.437
x[1] = -0.778
y[1] (analytic) = 1.6521142932668081977911231899023
y[1] (numeric) = 1.6521142932670102335710689124894
absolute error = 2.020357799457225871e-13
relative error = 1.2228922706444669613282350000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7842
Order of pole = 4.437
x[1] = -0.777
y[1] (analytic) = 1.6563695691782750567306577443559
y[1] (numeric) = 1.6563695691784789214377120749256
absolute error = 2.038647070543305697e-13
relative error = 1.2307923958991099484498100000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7832
Order of pole = 4.437
x[1] = -0.776
y[1] (analytic) = 1.6606413064597286179976983511492
y[1] (numeric) = 1.660641306459934330552260242067
absolute error = 2.057125545618909178e-13
relative error = 1.2387536896841578720805060000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7822
Order of pole = 4.437
x[1] = -0.775
y[1] (analytic) = 1.6649295901276335023791843842924
y[1] (numeric) = 1.6649295901278410819221372659986
absolute error = 2.075795429528817062e-13
relative error = 1.2467767056561752766808120000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7812
Order of pole = 4.437
x[1] = -0.774
y[1] (analytic) = 1.6692345057480090205432690622407
y[1] (numeric) = 1.6692345057482184864388393899045
absolute error = 2.094658955703276638e-13
relative error = 1.2548620032058518584631260000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7802
Order of pole = 4.437
x[1] = -0.773
y[1] (analytic) = 1.6735561394406975381989188827339
y[1] (numeric) = 1.6735561394409089100375755024376
absolute error = 2.113718386566197037e-13
relative error = 1.2630101475248997155186100000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7792
Order of pole = 4.437
x[1] = -0.772
y[1] (analytic) = 1.6778945778836715689153250501271
y[1] (numeric) = 1.6778945778838848665167200212926
absolute error = 2.132976013949711655e-13
relative error = 1.2712217096738189007051750000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7782
Order of pole = 4.437
x[1] = -0.771
y[1] (analytic) = 1.6822499083173799967027901796979
y[1] (numeric) = 1.6822499083175952401187417012397
absolute error = 2.152434159515215418e-13
relative error = 1.2794972666505436835067560000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7772
Order of pole = 4.437
x[1] = -0.77
y[1] (analytic) = 1.686622218549133835159664092319
y[1] (numeric) = 1.6866222185493510446771821909782
absolute error = 2.172095175180986592e-13
relative error = 1.2878374014599821313833920000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7762
Order of pole = 4.437
x[1] = -0.769
y[1] (analytic) = 1.6910115969575319347540085429906
y[1] (numeric) = 1.6910115969577511308983641934757
absolute error = 2.191961443556504851e-13
relative error = 1.2962427031844618216970620000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7752
Order of pole = 4.437
x[1] = -0.768
y[1] (analytic) = 1.6954181324969270546348493197135
y[1] (numeric) = 1.6954181324971482581726876776454
absolute error = 2.212035378383579319e-13
relative error = 1.3047137670550946718291750000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7742
Order of pole = 4.437
x[1] = -0.767
y[1] (analytic) = 1.6998419147019327202570160975029
y[1] (numeric) = 1.6998419147021559521995145377478
absolute error = 2.232319424984402449e-13
relative error = 1.3132511945240741167222100000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7732
Order of pole = 4.437
x[1] = -0.766
y[1] (analytic) = 1.7042830336919712930565804924355
y[1] (numeric) = 1.7042830336921965746626521572015
absolute error = 2.252816060716647660e-13
relative error = 1.3218555933379180310386200000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7722
Order of pole = 4.437
x[1] = -0.765
y[1] (analytic) = 1.7087415801758636834316998902988
y[1] (numeric) = 1.7087415801760910362112434633866
absolute error = 2.273527795435730878e-13
relative error = 1.3305275776116710388084280000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7711
Order of pole = 4.437
x[1] = -0.764
y[1] (analytic) = 1.713217645456461143367192224733
y[1] (numeric) = 1.7132176454566905890843886605622
absolute error = 2.294457171964358292e-13
relative error = 1.3392677679040800419655240000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7701
Order of pole = 4.437
x[1] = -0.763
y[1] (analytic) = 1.7177113214353195801913530412079
y[1] (numeric) = 1.717711321435551140868009989698
absolute error = 2.315606766569484901e-13
relative error = 1.3480767912937570248151700000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7691
Order of pole = 4.437
x[1] = -0.762
y[1] (analytic) = 1.7222227006174168381713439364844
y[1] (numeric) = 1.7222227006176505360902886175598
absolute error = 2.336979189446810754e-13
relative error = 1.3569552814563434302563300000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7681
Order of pole = 4.437
x[1] = -0.761
y[1] (analytic) = 1.7267518761159133999399090347112
y[1] (numeric) = 1.7267518761161492576484303291182
absolute error = 2.358577085212944070e-13
relative error = 1.3659038787426905957065400000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7671
Order of pole = 4.437
x[1] = -0.76
y[1] (analytic) = 1.7312989416569569651022072330207
y[1] (numeric) = 1.7312989416571950054155477693082
absolute error = 2.380403133405362875e-13
relative error = 1.3749232302580710019628750000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7661
Order of pole = 4.437
memory used=202.1MB, alloc=4.6MB, time=30.53
x[1] = -0.759
y[1] (analytic) = 1.7358639915845313687981919240664
y[1] (numeric) = 1.735863991584771614803090954984
absolute error = 2.402460048990309176e-13
relative error = 1.3840139899424352907284320000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7651
Order of pole = 4.437
x[1] = -0.758
y[1] (analytic) = 1.7404471208653503084942521733833
y[1] (numeric) = 1.740447120865592783552540048606
absolute error = 2.424750582878752227e-13
relative error = 1.3931768186517302733062550000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7641
Order of pole = 4.437
x[1] = -0.757
y[1] (analytic) = 1.7450484250937963528487915539656
y[1] (numeric) = 1.7450484250940410806010366099576
absolute error = 2.447277522450559920e-13
relative error = 1.4024123842402933621560000000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7631
Order of pole = 4.437
x[1] = -0.756
y[1] (analytic) = 1.7496680004969057121411212222481
y[1] (numeric) = 1.749668000497152716510329924246
absolute error = 2.470043692087019979e-13
relative error = 1.4117213616443391377377230000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7621
Order of pole = 4.437
x[1] = -0.755
y[1] (analytic) = 1.754305943939399255472557392119
y[1] (numeric) = 1.7543059439396485606679285776405
absolute error = 2.493051953711855215e-13
relative error = 1.4211044329665539807855900000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7611
Order of pole = 4.437
x[1] = -0.754
y[1] (analytic) = 1.7589623529287602657440322804771
y[1] (numeric) = 1.7589623529290118962647663684599
absolute error = 2.516305207340879828e-13
relative error = 1.4305622875618149771750760000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7601
Order of pole = 4.437
x[1] = -0.753
y[1] (analytic) = 1.7636373256203594292869614292517
y[1] (numeric) = 1.7636373256206134099261254738981
absolute error = 2.539806391640446464e-13
relative error = 1.4400956221240495495526400000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.759
Order of pole = 4.437
x[1] = -0.752
y[1] (analytic) = 1.7683309608226275629746863422958
y[1] (numeric) = 1.7683309608228839188231358259505
absolute error = 2.563558484494836547e-13
relative error = 1.4497051407742525415112350000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.758
Order of pole = 4.437
x[1] = -0.751
y[1] (analytic) = 1.7730433580022765876716749231386
y[1] (numeric) = 1.7730433580025353441220331980618
absolute error = 2.587564503582749232e-13
relative error = 1.4593915551496777323464640000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.757
Order of pole = 4.437
x[1] = -0.75
y[1] (analytic) = 1.7777746172895692629879769102633
y[1] (numeric) = 1.7777746172898304457386732149916
absolute error = 2.611827506963047283e-13
relative error = 1.4691555844942210597347830000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.756
Order of pole = 4.437
x[1] = -0.749
y[1] (analytic) = 1.7825248394836382044983796849209
y[1] (numeric) = 1.7825248394839018395577466770295
absolute error = 2.636350593669921086e-13
relative error = 1.4789979557500130690881720000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.755
Order of pole = 4.437
x[1] = -0.748
y[1] (analytic) = 1.7872941260578547108604927569906
y[1] (numeric) = 1.7872941260581208245509245205002
absolute error = 2.661136904317635096e-13
relative error = 1.4889194036502384243874800000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.754
Order of pole = 4.437
x[1] = -0.747
y[1] (analytic) = 1.7920825791652479346248275120518
y[1] (numeric) = 1.7920825791655165535869990144593
absolute error = 2.686189621715024075e-13
relative error = 1.4989206708132005840907500000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.753
Order of pole = 4.437
x[1] = -0.746
y[1] (analytic) = 1.7968903016439749369740726698376
y[1] (numeric) = 1.7968903016442460881712216608
absolute error = 2.711511971489909624e-13
relative error = 1.5090025078376500342196080000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.752
Order of pole = 4.437
x[1] = -0.745
y[1] (analytic) = 1.8017173970228421731594555930713
y[1] (numeric) = 1.8017173970231158838817279541468
absolute error = 2.737107222723610755e-13
relative error = 1.5191656733993947829046300000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.751
Order of pole = 4.437
x[1] = -0.744
y[1] (analytic) = 1.8065639695268789620206056686364
y[1] (numeric) = 1.8065639695271552598894652411869
absolute error = 2.762978688595725505e-13
relative error = 1.5294109343492121088611850000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.75
Order of pole = 4.437
x[1] = -0.743
y[1] (analytic) = 1.8114301240829634996829997282855
y[1] (numeric) = 1.811430124083242412655703664681
absolute error = 2.789129727039363955e-13
relative error = 1.5397390658120808713577500000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.749
Order of pole = 4.437
x[1] = -0.742
y[1] (analytic) = 1.8163159663255019843251932106109
y[1] (numeric) = 1.8163159663257835406993339122539
absolute error = 2.815563741407016430e-13
relative error = 1.5501508512877540007829500000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.748
Order of pole = 4.437
x[1] = -0.741
y[1] (analytic) = 1.8212216026021614257979682451801
y[1] (numeric) = 1.8212216026024456542160829695933
absolute error = 2.842284181147244132e-13
relative error = 1.5606470827526911024868240000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.747
Order of pole = 4.437
x[1] = -0.74
y[1] (analytic) = 1.8261471399796567208606266241296
y[1] (numeric) = 1.8261471399799436503148758624326
absolute error = 2.869294542492383030e-13
relative error = 1.5712285607633714396110300000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7459
Order of pole = 4.437
x[1] = -0.739
y[1] (analytic) = 1.8310926862495925818773094656505
y[1] (numeric) = 1.8310926862498822417142252111948
absolute error = 2.896598369157455443e-13
relative error = 1.5818960945610078814420460000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7449
Order of pole = 4.437
x[1] = -0.738
y[1] (analytic) = 1.8360583499343609139898465973249
y[1] (numeric) = 1.8360583499346533339151516460712
absolute error = 2.924199253050487463e-13
relative error = 1.5926505021776827442856350000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7439
Order of pole = 4.437
x[1] = -0.737
y[1] (analytic) = 1.8410442402930942430546606034943
y[1] (numeric) = 1.8410442402933894531381600469089
absolute error = 2.952100834994434146e-13
relative error = 1.6034926105439267950828200000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7429
Order of pole = 4.437
x[1] = -0.736
y[1] (analytic) = 1.846050467327675804001129782886
y[1] (numeric) = 1.846050467327973834681675874709
absolute error = 2.980306805460918230e-13
relative error = 1.6144232555977630224363100000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
memory used=205.9MB, alloc=4.6MB, time=31.12
Real estimate of pole used
Radius of convergence = 0.7419
Order of pole = 4.437
x[1] = -0.735
y[1] (analytic) = 1.8510771417888069067390314423963
y[1] (numeric) = 1.8510771417891077888295630416084
absolute error = 3.008820905315992121e-13
relative error = 1.6254432823952371595593460000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7409
Order of pole = 4.437
x[1] = -0.734
y[1] (analytic) = 1.8561243751821322043147467225484
y[1] (numeric) = 1.8561243751824359690074045362328
absolute error = 3.037646926578136844e-13
relative error = 1.6365535452224572716629080000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7399
Order of pole = 4.437
x[1] = -0.733
y[1] (analytic) = 1.8611922797744234956913398723222
y[1] (numeric) = 1.8611922797747301745626587439025
absolute error = 3.066788713188715803e-13
relative error = 1.6477549077091651137938700000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7389
Order of pole = 4.437
x[1] = -0.732
y[1] (analytic) = 1.8662809685998227033079830168432
y[1] (numeric) = 1.866280968600132328324162527377
absolute error = 3.096250161795105338e-13
relative error = 1.6590482429438623177338500000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7379
Order of pole = 4.437
x[1] = -0.731
y[1] (analytic) = 1.8713905554661446734610619767124
y[1] (numeric) = 1.8713905554664572769833166495488
absolute error = 3.126035222546728364e-13
relative error = 1.6704344335905148620437680000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7369
Order of pole = 4.437
x[1] = -0.73
y[1] (analytic) = 1.8765211549612404555442755783907
y[1] (numeric) = 1.8765211549615560703342660005618
absolute error = 3.156147899904221711e-13
relative error = 1.6819143720068596540136110000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7359
Order of pole = 4.437
x[1] = -0.729
y[1] (analytic) = 1.8816728824594217242897625705157
y[1] (numeric) = 1.8816728824597403835151087677398
absolute error = 3.186592253461972241e-13
relative error = 1.6934889603643374517015220000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7349
Order of pole = 4.437
x[1] = -0.728
y[1] (analytic) = 1.8868458541279470173684160872478
y[1] (numeric) = 1.8868458541282687546082945133831
absolute error = 3.217372398784261353e-13
relative error = 1.7051591107696767531697050000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7338
Order of pole = 4.437
x[1] = -0.727
y[1] (analytic) = 1.8920401869335704690367623408321
y[1] (numeric) = 1.8920401869338953182875878670434
absolute error = 3.248492508255262113e-13
relative error = 1.7169257453881536845838900000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7328
Order of pole = 4.437
x[1] = -0.726
y[1] (analytic) = 1.8972559986491537289618025449792
y[1] (numeric) = 1.8972559986494817246429968587766
absolute error = 3.279956811943137974e-13
relative error = 1.7287897965685533339219980000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7318
Order of pole = 4.437
x[1] = -0.725
y[1] (analytic) = 1.9024934078603417639157880317945
y[1] (numeric) = 1.9024934078606729408756358814844
absolute error = 3.311769598478496899e-13
relative error = 1.7407522069698584110337740000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7308
Order of pole = 4.437
x[1] = -0.724
y[1] (analytic) = 1.9077525339723032487117901014352
y[1] (numeric) = 1.9077525339726376422333848473935
absolute error = 3.343935215947459583e-13
relative error = 1.7528139296896915218381910000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7298
Order of pole = 4.437
x[1] = -0.723
y[1] (analytic) = 1.9130334972165362615499397394448
y[1] (numeric) = 1.9130334972168739073572196999982
absolute error = 3.376458072799605534e-13
relative error = 1.7649759283945378007878200000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7288
Order of pole = 4.437
x[1] = -0.722
y[1] (analytic) = 1.9183364186577400078651793164967
y[1] (numeric) = 1.9183364186580809421290564230861
absolute error = 3.409342638771065894e-13
relative error = 1.7772391774517750845537900000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7278
Order of pole = 4.437
x[1] = -0.721
y[1] (analytic) = 1.9236614202007533058121506149946
y[1] (numeric) = 1.9236614202010975651567329187069
absolute error = 3.442593445823037123e-13
relative error = 1.7896046620635392640945660000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7268
Order of pole = 4.437
x[1] = -0.72
y[1] (analytic) = 1.929008624597560575693333924896
y[1] (numeric) = 1.9290086245979081972022435243975
absolute error = 3.476215089095995015e-13
relative error = 1.8020733784024529117710150000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7258
Order of pole = 4.437
x[1] = -0.719
y[1] (analytic) = 1.9343781554543660849346760496903
y[1] (numeric) = 1.9343781554547171061574640390877
absolute error = 3.510212227879893974e-13
relative error = 1.8146463337492457485869880000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7248
Order of pole = 4.437
x[1] = -0.718
y[1] (analytic) = 1.9397701372387372096406575820765
y[1] (numeric) = 1.9397701372390916685993176462845
absolute error = 3.544589586600642080e-13
relative error = 1.8273245466322960082920000000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7238
Order of pole = 4.437
x[1] = -0.717
y[1] (analytic) = 1.9451846952868174833200412379155
y[1] (numeric) = 1.9451846952871754185156235527281
absolute error = 3.579351955823148126e-13
relative error = 1.8401090469691222200953400000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7228
Order of pole = 4.437
x[1] = -0.716
y[1] (analytic) = 1.950621955810610213066436233193
y[1] (numeric) = 1.9506219558109716634857633574591
absolute error = 3.614504193271242661e-13
relative error = 1.8530008762098554488602770000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7218
Order of pole = 4.437
x[1] = -0.715
y[1] (analytic) = 1.9560820459053334533063654821938
y[1] (numeric) = 1.9560820459056984584288519602923
absolute error = 3.650051224864780985e-13
relative error = 1.8660010874827225238376100000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7207
Order of pole = 4.437
x[1] = -0.714
y[1] (analytic) = 1.9615650935568471371938242084594
y[1] (numeric) = 1.9615650935572157369984016326701
absolute error = 3.685998045774242107e-13
relative error = 1.8791107457415713034222790000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7197
Order of pole = 4.437
x[1] = -0.713
y[1] (analytic) = 1.9670712276491531758364970395578
y[1] (numeric) = 1.9670712276495254108086463539461
absolute error = 3.722349721493143883e-13
relative error = 1.8923309279154695558007100000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7187
Order of pole = 4.437
x[1] = -0.712
y[1] (analytic) = 1.9726005779719693457870183155964
y[1] (numeric) = 1.9726005779723452569259111756811
absolute error = 3.759111388928600847e-13
relative error = 1.9056627230604095563824150000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
memory used=209.8MB, alloc=4.6MB, time=31.71
Real estimate of pole used
Radius of convergence = 0.7177
Order of pole = 4.437
x[1] = -0.711
y[1] (analytic) = 1.9781532752283777956251162165049
y[1] (numeric) = 1.9781532752287574244508672522759
absolute error = 3.796288257510357710e-13
relative error = 1.9191072325131510502746200000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7167
Order of pole = 4.437
x[1] = -0.71
y[1] (analytic) = 1.9837294510425490129954116337797
y[1] (numeric) = 1.9837294510429324015564434975899
absolute error = 3.833885610318638102e-13
relative error = 1.9326655700472357858563020000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7157
Order of pole = 4.437
x[1] = -0.709
y[1] (analytic) = 1.9893292379675421041533215830286
y[1] (numeric) = 1.9893292379679292950338446985145
absolute error = 3.871908805231154859e-13
relative error = 1.9463388620312073868318380000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7147
Order of pole = 4.437
x[1] = -0.708
y[1] (analytic) = 1.9949527694931822489102570496643
y[1] (numeric) = 1.9949527694935732852378660131656
absolute error = 3.910363276089635013e-13
relative error = 1.9601282475890708947914450000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7137
Order of pole = 4.437
x[1] = -0.707
y[1] (analytic) = 2.0006001800540162048614584375313
y[1] (numeric) = 2.0006001800544111303148470595005
absolute error = 3.949254533886219692e-13
relative error = 1.9740348787630269130462000000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7127
Order of pole = 4.437
x[1] = -0.706
y[1] (analytic) = 2.0062716050373467459277702096754
y[1] (numeric) = 2.0062716050377456047445672203039
absolute error = 3.988588167970106285e-13
relative error = 1.9880599206785158663765450000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7117
Order of pole = 4.437
x[1] = -0.705
y[1] (analytic) = 2.0119671807913469315488525751168
y[1] (numeric) = 2.0119671807917497685335800558719
absolute error = 4.028369847274807551e-13
relative error = 2.0022045517116084978433260000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7107
Order of pole = 4.437
x[1] = -0.704
y[1] (analytic) = 2.0176870446332551143322363841434
y[1] (numeric) = 2.0176870446336619748643930251292
absolute error = 4.068605321566409858e-13
relative error = 2.0164699636587793545923860000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7097
Order of pole = 4.437
x[1] = -0.703
y[1] (analytic) = 2.0234313348576516055927642095465
y[1] (numeric) = 2.0234313348580625356350355315792
absolute error = 4.109300422713220327e-13
relative error = 2.0308573619091006178066700000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7086
Order of pole = 4.437
x[1] = -0.702
y[1] (analytic) = 2.0292001907448179300128854212112
y[1] (numeric) = 2.0292001907452329761194831412627
absolute error = 4.150461065977200515e-13
relative error = 2.0453679656188942997945750000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7076
Order of pole = 4.437
x[1] = -0.701
y[1] (analytic) = 2.034993752569179612618589260931
y[1] (numeric) = 2.0349937525695988219437220201511
absolute error = 4.192093251327592201e-13
relative error = 2.0600030078888814627558020000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7066
Order of pole = 4.437
x[1] = -0.7
y[1] (analytic) = 2.0408121616078334534011155079275
y[1] (numeric) = 2.0408121616082568737075932228279
absolute error = 4.234203064777149004e-13
relative error = 2.0747637359438677891090040000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7056
Order of pole = 4.437
x[1] = -0.699
y[1] (analytic) = 2.0466555601491602572236707995465
y[1] (numeric) = 2.0466555601495879368916449391327
absolute error = 4.276796679741395862e-13
relative error = 2.0896514113150055009649240000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7046
Order of pole = 4.437
x[1] = -0.698
y[1] (analytic) = 2.0525240915015239991379398815694
y[1] (numeric) = 2.052524091501955987173782016263
absolute error = 4.319880358421346936e-13
relative error = 2.1046673100246723339538800000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7036
Order of pole = 4.437
x[1] = -0.697
y[1] (analytic) = 2.0584179000020584179000020584179
y[1] (numeric) = 2.0584179000024947639453230705302
absolute error = 4.363460453210121123e-13
relative error = 2.1198127227740089427646300000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7026
Order of pole = 4.437
x[1] = -0.696
y[1] (analytic) = 2.064337131025542043322179031702
y[1] (numeric) = 2.0643371310259827976629914220311
absolute error = 4.407543408123903291e-13
relative error = 2.1350889551331568605163470000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7016
Order of pole = 4.437
x[1] = -0.695
y[1] (analytic) = 2.0702819309933626761292352792603
y[1] (numeric) = 2.0702819309938078897052610500983
absolute error = 4.452135760257708380e-13
relative error = 2.1504973277342398479578800000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.7006
Order of pole = 4.437
x[1] = -0.694
y[1] (analytic) = 2.07625244738257235220716016419
y[1] (numeric) = 2.0762524473830220766212868056667
absolute error = 4.497244141266414767e-13
relative error = 2.1660391764671322091335790000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6996
Order of pole = 4.437
x[1] = -0.693
y[1] (analytic) = 2.0822488287350338365434669442998
y[1] (numeric) = 2.0822488287354881240713540985768
absolute error = 4.542875278871542770e-13
relative error = 2.1817158526780584152925000000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6986
Order of pole = 4.437
x[1] = -0.692
y[1] (analytic) = 2.0882712246666597057625844444676
y[1] (numeric) = 2.0882712246671186093624238708495
absolute error = 4.589035998394263819e-13
relative error = 2.1975287233710691436854350000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6976
Order of pole = 4.437
x[1] = -0.691
y[1] (analytic) = 2.0943197858767450919615817978479
y[1] (numeric) = 2.0943197858772086652840133114174
absolute error = 4.635733224315135695e-13
relative error = 2.2134791714124396219199900000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6966
Order of pole = 4.437
x[1] = -0.69
y[1] (analytic) = 2.1003946641573951745532985648003
y[1] (numeric) = 2.1003946641578634719514846717347
absolute error = 4.682973981861069344e-13
relative error = 2.2295685957380369757477440000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6955
Order of pole = 4.437
x[1] = -0.689
y[1] (analytic) = 2.1064960124030485210291496918196
y[1] (numeric) = 2.1064960124035215975690116961254
absolute error = 4.730765398620043058e-13
relative error = 2.2457984115637040805798760000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6945
Order of pole = 4.437
x[1] = -0.688
y[1] (analytic) = 2.1126239846200973919656909864898
y[1] (numeric) = 2.1126239846205753034363093955283
memory used=213.6MB, alloc=4.6MB, time=32.29
absolute error = 4.779114706184090385e-13
relative error = 2.2621700505987082632878250000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6935
Order of pole = 4.437
x[1] = -0.687
y[1] (analytic) = 2.1187787359366061402207767442846
y[1] (numeric) = 2.1187787359370889431449588541719
absolute error = 4.828029241821098873e-13
relative error = 2.2786849612623040350898100000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6925
Order of pole = 4.437
x[1] = -0.686
y[1] (analytic) = 2.1249604226121288491001855090449
y[1] (numeric) = 2.1249604226126166007452031058208
absolute error = 4.877516450175967759e-13
relative error = 2.2953446089034598994821230000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6915
Order of pole = 4.437
x[1] = -0.685
y[1] (analytic) = 2.1311692020476273693273603764497
y[1] (numeric) = 2.1311692020481201277158605448479
absolute error = 4.927583885001683982e-13
relative error = 2.3121504760238001681379320000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6905
Order of pole = 4.437
x[1] = -0.684
y[1] (analytic) = 2.1374052327954909299208946323342
y[1] (numeric) = 2.1374052327959887538419867210708
absolute error = 4.978239210920887366e-13
relative error = 2.3291040625038136003946620000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6895
Order of pole = 4.437
x[1] = -0.683
y[1] (analytic) = 2.1436686745696585135801410533988
y[1] (numeric) = 2.143668674570161462600662904157
absolute error = 5.029490205218507582e-13
relative error = 2.3462068858323816019271800000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6885
Order of pole = 4.437
x[1] = -0.682
y[1] (analytic) = 2.1499596882558452029024455791454
y[1] (numeric) = 2.1499596882563533373784121858955
absolute error = 5.081344759666067501e-13
relative error = 2.3634604813396796464026250000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6875
Order of pole = 4.437
x[1] = -0.681
y[1] (analytic) = 2.1562784359218737197096786713875
y[1] (numeric) = 2.1562784359223871007979164973695
absolute error = 5.133810882378259820e-13
relative error = 2.3808664024335065306428400000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6865
Order of pole = 4.437
x[1] = -0.68
y[1] (analytic) = 2.1626250808281123959507007986574
y[1] (numeric) = 2.162625080828631085620671040297
absolute error = 5.186896699702416396e-13
relative error = 2.3984262208390970439267960000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6855
Order of pole = 4.437
x[1] = -0.679
y[1] (analytic) = 2.1689997874380208310739585547521
y[1] (numeric) = 2.1689997874385448921197727050048
absolute error = 5.240610458141502527e-13
relative error = 2.4161415268424746080531340000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6845
Order of pole = 4.437
x[1] = -0.678
y[1] (analytic) = 2.1754027214288045074344388004829
y[1] (numeric) = 2.1754027214293340034870699286383
absolute error = 5.294960526311281554e-13
relative error = 2.4340139295374014611504900000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6835
Order of pole = 4.437
x[1] = -0.677
y[1] (analytic) = 2.1818340497021796522156524774726
y[1] (numeric) = 2.1818340497027146477553457083242
absolute error = 5.349955396932308516e-13
relative error = 2.4520450570759849621382800000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6824
Order of pole = 4.437
x[1] = -0.676
y[1] (analytic) = 2.1882939403952496515141899920565
y[1] (numeric) = 2.1882939403957902118830757345908
absolute error = 5.405603688857425343e-13
relative error = 2.4702365569229996609681110000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6814
Order of pole = 4.437
x[1] = -0.675
y[1] (analytic) = 2.1947825628914943396557703028361
y[1] (numeric) = 2.194782562892040531070683847237
absolute error = 5.461914149135444009e-13
relative error = 2.4885900961139858120446340000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6804
Order of pole = 4.437
x[1] = -0.674
y[1] (analytic) = 2.2013000878318735044917528292209
y[1] (numeric) = 2.2013000878324253940572640010656
absolute error = 5.518895655111718447e-13
relative error = 2.5071073615171861209478190000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6794
Order of pole = 4.437
x[1] = -0.673
y[1] (analytic) = 2.207846687126045967368025964277
y[1] (numeric) = 2.2078466871266036230896825963379
absolute error = 5.576557216566320609e-13
relative error = 2.5257900600993835934343700000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6784
Order of pole = 4.437
x[1] = -0.672
y[1] (analytic) = 2.2144225339637056146683348649756
y[1] (numeric) = 2.2144225339642691054661239200816
absolute error = 5.634907977890551060e-13
relative error = 2.5446399191957045004301000000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6774
Order of pole = 4.437
x[1] = -0.671
y[1] (analytic) = 2.2210278028260357763158479217843
y[1] (numeric) = 2.2210278028266051720378781747614
absolute error = 5.693957220302529771e-13
relative error = 2.5636586867834516091545820000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6764
Order of pole = 4.437
x[1] = -0.67
y[1] (analytic) = 2.2276626694972833653745480629359
y[1] (numeric) = 2.2276626694978587368109583257777
absolute error = 5.753714364102628418e-13
relative error = 2.5828481317600339994686180000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6754
Order of pole = 4.437
x[1] = -0.669
y[1] (analytic) = 2.2343273110764542119304141102238
y[1] (numeric) = 2.2343273110770356308275110623746
absolute error = 5.814188970969521508e-13
relative error = 2.6022100442250609851634960000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6744
Order of pole = 4.437
x[1] = -0.668
y[1] (analytic) = 2.2410219059891310437559527144378
y[1] (numeric) = 2.2410219059897185828305824794379
absolute error = 5.875390746297650001e-13
relative error = 2.6217462357666688716962250000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6734
Order of pole = 4.437
x[1] = -0.667
y[1] (analytic) = 2.2477466339994155858751601519477
y[1] (numeric) = 2.2477466340000093188293178427287
absolute error = 5.937329541576907810e-13
relative error = 2.6414585397521505155909000000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6724
Order of pole = 4.437
x[1] = -0.666
y[1] (analytic) = 2.2545016762219962710542275288182
y[1] (numeric) = 2.2545016762225962725899090666863
absolute error = 6.000015356815378681e-13
relative error = 2.6613488116229589216083170000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6714
Order of pole = 4.437
x[1] = -0.665
y[1] (analytic) = 2.2612872151343430734511313219937
y[1] (numeric) = 2.2612872151349494192854319188384
absolute error = 6.063458343005968447e-13
relative error = 2.6814189291941574024430220000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6703
Order of pole = 4.437
memory used=217.4MB, alloc=4.6MB, time=32.88
x[1] = -0.664
y[1] (analytic) = 2.2681034345890309981696405282867
y[1] (numeric) = 2.2681034345896437650501043078388
absolute error = 6.127668804637795521e-13
relative error = 2.7016707929583901318223369999999e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6693
Order of pole = 4.437
x[1] = -0.663
y[1] (analytic) = 2.2749505198261937802852787951862
y[1] (numeric) = 2.2749505198268130460055041172677
absolute error = 6.192657202253220815e-13
relative error = 2.7221063263944482736495500000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6683
Order of pole = 4.437
x[1] = -0.662
y[1] (analytic) = 2.281828657486109368047553309222
y[1] (numeric) = 2.2818286574867352114630584509161
absolute error = 6.258434155051416941e-13
relative error = 2.7427274762805082173085450000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6673
Order of pole = 4.437
x[1] = -0.661
y[1] (analytic) = 2.2887380356219187864195439918338
y[1] (numeric) = 2.2887380356225512874638979314085
absolute error = 6.325010443539395747e-13
relative error = 2.7635362130121198685707340000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6663
Order of pole = 4.437
x[1] = -0.66
y[1] (analytic) = 2.295678843712479998898074155018
y[1] (numeric) = 2.2956788437131192385992972982927
absolute error = 6.392397012231432747e-13
relative error = 2.7845345309250243360259470000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6653
Order of pole = 4.437
x[1] = -0.659
y[1] (analytic) = 2.3026512726753584076705919195362
y[1] (numeric) = 2.3026512726760044681678317042439
absolute error = 6.460604972397847077e-13
relative error = 2.8057244486228818242937139999999e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6643
Order of pole = 4.437
x[1] = -0.658
y[1] (analytic) = 2.3096555148799556546141143048514
y[1] (numeric) = 2.3096555148806086191746007164585
absolute error = 6.529645604864116071e-13
relative error = 2.8271080093099920146805150000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6633
Order of pole = 4.437
x[1] = -0.657
y[1] (analytic) = 2.3166917641607784084327580215452
y[1] (numeric) = 2.3166917641614383614690441539931
absolute error = 6.599530362861324479e-13
relative error = 2.8486872811290907113603500000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6623
Order of pole = 4.437
x[1] = -0.656
y[1] (analytic) = 2.3237602158308488463692408507751
y[1] (numeric) = 2.323760215831515873456733747758
absolute error = 6.670270874928969829e-13
relative error = 2.8704643575043080893023730000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6613
Order of pole = 4.437
x[1] = -0.655
y[1] (analytic) = 2.3308610666952585624181285050323
y[1] (numeric) = 2.3308610666959327503129156217619
absolute error = 6.741878947871167296e-13
relative error = 2.8924413574893754203336960000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6603
Order of pole = 4.437
x[1] = -0.654
y[1] (analytic) = 2.3379945150648676578204747531662
y[1] (numeric) = 2.3379945150655490944774514851575
absolute error = 6.814366569767319913e-13
relative error = 2.9146204261211687712286210000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6593
Order of pole = 4.437
x[1] = -0.653
y[1] (analytic) = 2.345160760770150793836917520696
y[1] (numeric) = 2.3451607607708395684282213549859
absolute error = 6.887745913038342899e-13
relative error = 2.9370037347786797955625900000001e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6583
Order of pole = 4.437
x[1] = -0.652
y[1] (analytic) = 2.3523600051751920113854224250479
y[1] (numeric) = 2.35236000517588821431917938048
absolute error = 6.962029337569554321e-13
relative error = 2.9595934815475053896287050000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6572
Order of pole = 4.437
x[1] = -0.651
y[1] (analytic) = 2.3595924511918301470969934072987
y[1] (numeric) = 2.3595924511925338700363825441358
absolute error = 7.037229393891368371e-13
relative error = 2.9823918915899496983665420000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6562
Order of pole = 4.437
x[1] = -0.65
y[1] (analytic) = 2.3668583032939567006941995403561
y[1] (numeric) = 2.3668583032946680365768414355639
absolute error = 7.113358826418952078e-13
relative error = 3.0054012175208336719070780000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6552
Order of pole = 4.437
x[1] = -0.649
y[1] (analytic) = 2.3741577675319680343398179495824
y[1] (numeric) = 2.3741577675326870773974931527256
absolute error = 7.190430576752031432e-13
relative error = 3.0286237397891091432212640000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6542
Order of pole = 4.437
x[1] = -0.648
y[1] (analytic) = 2.3814910515473738107429061335302
y[1] (numeric) = 2.3814910515481006565216097393942
absolute error = 7.268457787036058640e-13
relative error = 3.0520617670653762032292000000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6532
Order of pole = 4.437
x[1] = -0.647
y[1] (analytic) = 2.3888583645875636033539571438809
y[1] (numeric) = 2.3888583645882983487342957417335
absolute error = 7.347453803385978526e-13
relative error = 3.0757176366354044707688600000001e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6522
Order of pole = 4.437
x[1] = -0.646
y[1] (analytic) = 2.3962599175207336389363481478109
y[1] (numeric) = 2.3962599175214763821542855337184
absolute error = 7.427432179373859075e-13
relative error = 3.0995937147997607476017750000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6512
Order of pole = 4.437
x[1] = -0.645
y[1] (analytic) = 2.4036959228509756601750852110205
y[1] (numeric) = 2.403695922851726500843043378886
absolute error = 7.508406679581678655e-13
relative error = 3.1236923972796474441250300000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6502
Order of pole = 4.437
x[1] = -0.644
y[1] (analytic) = 2.4111665947335299237830239404731
y[1] (numeric) = 2.4111665947342889629113459995417
absolute error = 7.590391283220590686e-13
relative error = 3.1480161096290581193395820000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6492
Order of pole = 4.437
x[1] = -0.643
y[1] (analytic) = 2.4186721489902043777965896722699
y[1] (numeric) = 2.418672148990971717815371473809
absolute error = 7.673400187818015391e-13
relative error = 3.1725673076533584634089500000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6482
Order of pole = 4.437
x[1] = -0.642
y[1] (analytic) = 2.4262128031249620904249511724673
y[1] (numeric) = 2.4262128031257378352062485662515
absolute error = 7.757447812973937842e-13
relative error = 3.1973484778344030906479300000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6472
Order of pole = 4.437
x[1] = -0.641
y[1] (analytic) = 2.4337887763396790319361763231293
y[1] (numeric) = 2.4337887763404632868165951053013
absolute error = 7.842548804187821720e-13
relative error = 3.2223621377623005639570400000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
memory used=221.2MB, alloc=4.6MB, time=33.46
Real estimate of pole used
Radius of convergence = 0.6462
Order of pole = 4.437
x[1] = -0.64
y[1] (analytic) = 2.4414002895500743406388167997637
y[1] (numeric) = 2.4414002895508672124424925576858
absolute error = 7.928718036757579221e-13
relative error = 3.2476108365739412065008210000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6451
Order of pole = 4.437
x[1] = -0.639
y[1] (analytic) = 2.4490475654018152340554758254515
y[1] (numeric) = 2.4490475654026168311174510323695
absolute error = 8.015970619752069180e-13
relative error = 3.2730971553984043917159600000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6441
Order of pole = 4.437
x[1] = -0.638
y[1] (analytic) = 2.4567308282867987568942008868798
y[1] (numeric) = 2.4567308282876091890842067496774
absolute error = 8.104321900058627976e-13
relative error = 3.2988237078093642244909200000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6431
Order of pole = 4.437
x[1] = -0.637
y[1] (analytic) = 2.4644503043596125884121546689011
y[1] (numeric) = 2.4644503043604319671588053859942
absolute error = 8.193787466507170931e-13
relative error = 3.3247931402846147486718700000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6421
Order of pole = 4.437
x[1] = -0.636
y[1] (analytic) = 2.4722062215541771632422490154439
y[1] (numeric) = 2.4722062215550056015576562590403
absolute error = 8.284383154072435964e-13
relative error = 3.3510081326728381301301080000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6411
Order of pole = 4.437
x[1] = -0.635
y[1] (analytic) = 2.4799988096005713917257319716487
y[1] (numeric) = 2.4799988096014090042305475692501
absolute error = 8.376125048155976014e-13
relative error = 3.3774713986677415842211639999999e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6401
Order of pole = 4.437
x[1] = -0.634
y[1] (analytic) = 2.4878283000420442982707105486408
y[1] (numeric) = 2.4878283000428912012196055028812
absolute error = 8.469029488949542404e-13
relative error = 3.4041856862896912160846280000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6391
Order of pole = 4.437
x[1] = -0.633
y[1] (analytic) = 2.4956949262522149292470488407497
y[1] (numeric) = 2.4956949262530712405546369945267
absolute error = 8.563113075881537770e-13
relative error = 3.4311537783749733690613000000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6381
Order of pole = 4.437
x[1] = -0.632
y[1] (analytic) = 2.5035989234524629154409463603931
y[1] (numeric) = 2.503598923453328754708161185847
absolute error = 8.658392672148254539e-13
relative error = 3.4583784930728165692400750000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6371
Order of pole = 4.437
x[1] = -0.631
y[1] (analytic) = 2.5115405287295121081368890049779
y[1] (numeric) = 2.5115405287303875966778221702942
absolute error = 8.754885409331653163e-13
relative error = 3.4858626843503096866864060000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6361
Order of pole = 4.437
x[1] = -0.63
y[1] (analytic) = 2.5195199810532097424798627365514
y[1] (numeric) = 2.519519981054095003349073283898
absolute error = 8.852608692105473466e-13
relative error = 3.5136092425053545241288660000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6351
Order of pole = 4.437
x[1] = -0.629
y[1] (analytic) = 2.5275375212945036169061929724347
y[1] (numeric) = 2.5275375212953987749264961236898
absolute error = 8.951580203031512551e-13
relative error = 3.5416210946877936887027420000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6341
Order of pole = 4.437
x[1] = -0.628
y[1] (analytic) = 2.5355933922436198131267669916452
y[1] (numeric) = 2.5355933922445249949175117860219
absolute error = 9.051817907447943767e-13
relative error = 3.5699012054288573025482950000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6331
Order of pole = 4.438
x[1] = -0.627
y[1] (analytic) = 2.5436878386284435174115432554117
y[1] (numeric) = 2.5436878386293588514173884147364
absolute error = 9.153340058451593247e-13
relative error = 3.5984525771790748531931100000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.632
Order of pole = 4.438
x[1] = -0.626
y[1] (analytic) = 2.5518211071331055407691699181121
y[1] (numeric) = 2.5518211071340311572893675314732
absolute error = 9.256165201976133611e-13
relative error = 3.6272782508548013110778469999999e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.631
Order of pole = 4.438
x[1] = -0.625
y[1] (analytic) = 2.5599934464167771730504369908813
y[1] (numeric) = 2.5599934464177132042686338107285
absolute error = 9.360312181968198472e-13
relative error = 3.6563813063935094963234720000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.63
Order of pole = 4.438
x[1] = -0.624
y[1] (analytic) = 2.5682051071326760440395811771111
y[1] (numeric) = 2.5682051071336226240541475237666
absolute error = 9.465800145663466555e-13
relative error = 3.6857648633180036167862350000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.629
Order of pole = 4.438
x[1] = -0.623
y[1] (analytic) = 2.5764563419472857032437585345116
y[1] (numeric) = 2.5764563419482429680986550155592
absolute error = 9.572648548964810476e-13
relative error = 3.7154320813097118900498800000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.628
Order of pole = 4.438
x[1] = -0.622
y[1] (analytic) = 2.5847474055597916693591118807914
y[1] (numeric) = 2.5847474055607597570753043460489
absolute error = 9.680877161924652575e-13
relative error = 3.7453861607912192114788750000001e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.627
Order of pole = 4.438
x[1] = -0.621
y[1] (analytic) = 2.5930785547217367402928104303992
y[1] (numeric) = 2.5930785547227157909002438022706
absolute error = 9.790506074333718714e-13
relative error = 3.7756303435182039523043880000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.626
Order of pole = 4.438
x[1] = -0.62
y[1] (analytic) = 2.6014500482568983951654652303194
y[1] (numeric) = 2.6014500482578885507356070733835
absolute error = 9.901555701418430641e-13
relative error = 3.8061679131809461568310410000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.625
Order of pole = 4.438
x[1] = -0.619
y[1] (analytic) = 2.6098621470813911609188802647444
y[1] (numeric) = 2.6098621470823925655978451875843
absolute error = 1.0014046789649228399e-12
relative error = 3.8370021960155776518176380000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.624
Order of pole = 4.438
x[1] = -0.618
y[1] (analytic) = 2.6183151142239968580218629312038
y[1] (numeric) = 2.6183151142250096580641291478457
absolute error = 1.0128000422662166419e-12
relative error = 3.8681365614252479095765750000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.623
Order of pole = 4.438
x[1] = -0.617
y[1] (analytic) = 2.626809214846725682313693556437
y[1] (numeric) = 2.6268092148477500261164231744708
absolute error = 1.0243438027296180338e-12
relative error = 3.8995744226113828928732200000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
memory used=225.0MB, alloc=4.6MB, time=34.05
Real estimate of pole used
Radius of convergence = 0.622
Order of pole = 4.438
x[1] = -0.616
y[1] (analytic) = 2.6353447162656111232629784138914
y[1] (numeric) = 2.6353447162666471614009532615186
absolute error = 1.0360381379748476272e-12
relative error = 3.9313192372152175607443040000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.621
Order of pole = 4.438
x[1] = -0.615
y[1] (analytic) = 2.6439218879717417628613580240385
y[1] (numeric) = 2.6439218879727896481225430790767
absolute error = 1.0478852611850550382e-12
relative error = 3.9633745079697862687823320000001e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.62
Order of pole = 4.438
x[1] = -0.614
y[1] (analytic) = 2.6525410016525330440295280864304
y[1] (numeric) = 2.6525410016535929314512748268254
absolute error = 1.0598874217467403950e-12
relative error = 3.9957437833625588869381500000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6189
Order of pole = 4.438
x[1] = -0.613
y[1] (analytic) = 2.6612023312132421428001170929026
y[1] (numeric) = 2.661202331214314189706019350709
absolute error = 1.0720469059022578064e-12
relative error = 4.0284306583089141591092800000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6179
Order of pole = 4.438
x[1] = -0.612
y[1] (analytic) = 2.6699061527987291246712678049367
y[1] (numeric) = 2.6699061527998134907086829741644
absolute error = 1.0843660374151692277e-12
relative error = 4.0614387748366455838889649999999e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6169
Order of pole = 4.438
x[1] = -0.611
y[1] (analytic) = 2.6786527448154676124096624361811
y[1] (numeric) = 2.6786527448165644595879111595206
absolute error = 1.0968471782487233395e-12
relative error = 4.0947718227816989454881900000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6159
Order of pole = 4.438
x[1] = -0.61
y[1] (analytic) = 2.6874423879538082402358499439668
y[1] (numeric) = 2.6874423879549177329651076843523
absolute error = 1.1094927292577403855e-12
relative error = 4.1284335404953445518493550000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6149
Order of pole = 4.438
x[1] = -0.609
y[1] (analytic) = 2.6962753652104982177619835958607
y[1] (numeric) = 2.6962753652116205228928777862623
absolute error = 1.1223051308941904016e-12
relative error = 4.1624277155629912452621120000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6139
Order of pole = 4.438
x[1] = -0.608
y[1] (analytic) = 2.7051519619114603762866379018841
y[1] (numeric) = 2.705151961912595663150564660801
absolute error = 1.1352868639267589169e-12
relative error = 4.1967581855348533501583850000001e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6129
Order of pole = 4.438
x[1] = -0.607
y[1] (analytic) = 2.7140724657348351200977066087665
y[1] (numeric) = 2.7140724657359835605478813097856
absolute error = 1.1484404501747010191e-12
relative error = 4.2314288386686859048739499999999e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6119
Order of pole = 4.438
x[1] = -0.606
y[1] (analytic) = 2.7230371667342887563072348374483
y[1] (numeric) = 2.7230371667354505247604911291102
absolute error = 1.1617684532562916619e-12
relative error = 4.2664436146848078104117030000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6109
Order of pole = 4.438
x[1] = -0.605
y[1] (analytic) = 2.7320463573625917284564484490173
y[1] (numeric) = 2.7320463573637670019358006362591
absolute error = 1.1752734793521872418e-12
relative error = 4.3018065055336368736708680000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6099
Order of pole = 4.438
x[1] = -0.604
y[1] (analytic) = 2.7411003324954703317005512352769
y[1] (numeric) = 2.7411003324966592898785352560916
absolute error = 1.1889581779840208147e-12
relative error = 4.3375215561759652155640989999999e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6089
Order of pole = 4.438
x[1] = -0.603
y[1] (analytic) = 2.7501993894557355408267099364704
y[1] (numeric) = 2.750199389456938366069518497303
absolute error = 1.2028252428085608326e-12
relative error = 4.3735928653762080434168600000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6079
Order of pole = 4.438
x[1] = -0.602
y[1] (analytic) = 2.7593438280376926366909948814172
y[1] (numeric) = 2.7593438280389095141034226524086
absolute error = 1.2168774124277709914e-12
relative error = 4.4100245865088634613831700000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6068
Order of pole = 4.438
x[1] = -0.601
y[1] (analytic) = 2.7685339505318353718971655749414
y[1] (numeric) = 2.7685339505330664893683806916198
absolute error = 1.2311174712151166784e-12
relative error = 4.4468209283784257447143680000001e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6058
Order of pole = 4.438
x[1] = -0.6
y[1] (analytic) = 2.7777700617498284726986869480918
y[1] (numeric) = 2.7777700617510740209488454196974
absolute error = 1.2455482501584716056e-12
relative error = 4.4839861560529993648760560000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6048
Order of pole = 4.438
x[1] = -0.599
y[1] (analytic) = 2.7870524690497823312021672119999
y[1] (numeric) = 2.7870524690510425038298871985164
absolute error = 1.2601726277199865165e-12
relative error = 4.5215245917118660209323300000001e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6038
Order of pole = 4.438
x[1] = -0.598
y[1] (analytic) = 2.7963814823618238000027963814824
y[1] (numeric) = 2.7963814823630987935335096718454
absolute error = 1.2749935307132903630e-12
relative error = 4.5594406155072620026061499999999e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6028
Order of pole = 4.438
x[1] = -0.597
y[1] (analytic) = 2.8057574142139670604079571280267
y[1] (numeric) = 2.8057574142152570743431555311044
absolute error = 1.2900139351984030777e-12
relative error = 4.5977386664406284092305700000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6018
Order of pole = 4.438
x[1] = -0.596
y[1] (analytic) = 2.8151805797582885954219533411971
y[1] (numeric) = 2.8151805797595938322893480892033
absolute error = 1.3052368673947480062e-12
relative error = 4.6364232432536020251834540000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.6008
Order of pole = 4.438
x[1] = -0.595
y[1] (analytic) = 2.8246512967974103596910961341822
y[1] (numeric) = 2.8246512967987310250957087954275
absolute error = 1.3206654046126612453e-12
relative error = 4.6754989053340201002857780000001e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5998
Order of pole = 4.438
x[1] = -0.594
y[1] (analytic) = 2.8341698858112953006629123362913
y[1] (numeric) = 2.8341698858126316033391161408186
absolute error = 1.3363026762038045273e-12
relative error = 4.7149702736372177799895009999999e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5988
Order of pole = 4.438
memory used=228.8MB, alloc=4.6MB, time=34.63
x[1] = -0.593
y[1] (analytic) = 2.8437366699843594483150860230343
y[1] (numeric) = 2.8437366699857116001796169209793
absolute error = 1.3521518645308979450e-12
relative error = 4.7548420316229026235924999999999e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5978
Order of pole = 4.438
x[1] = -0.592
y[1] (analytic) = 2.8533519752329048549783858587876
y[1] (numeric) = 2.8533519752342730711843430574801
absolute error = 1.3682162059571986925e-12
relative error = 4.7951189262078963976701250000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5968
Order of pole = 4.438
x[1] = -0.591
y[1] (analytic) = 2.8630161302328777320331422747236
y[1] (numeric) = 2.8630161302342622310249984368678
absolute error = 1.3844989918561621442e-12
relative error = 4.8358057687350402605046440000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5958
Order of pole = 4.438
x[1] = -0.59
y[1] (analytic) = 2.8727294664479561966210956015639
y[1] (numeric) = 2.8727294664493572001907373335568
absolute error = 1.4010035696417319929e-12
relative error = 4.8769074359585654846048290000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5948
Order of pole = 4.438
x[1] = -0.589
y[1] (analytic) = 2.8824923181579721090043295034619
y[1] (numeric) = 2.8824923181593898423481492202949
absolute error = 1.4177333438197168330e-12
relative error = 4.9184288710462380313802600000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5937
Order of pole = 4.438
x[1] = -0.588
y[1] (analytic) = 2.8923050224876715498416463000188
y[1] (numeric) = 2.892305022489106241618707021537
absolute error = 1.4346917770607215182e-12
relative error = 4.9603750845985916131005900000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5927
Order of pole = 4.438
x[1] = -0.587
y[1] (analytic) = 2.9021679194358185564616768726238
y[1] (numeric) = 2.9021679194372704388529719854641
absolute error = 1.4518823912951128403e-12
relative error = 5.0027511556855703138217100000001e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5917
Order of pole = 4.438
x[1] = -0.586
y[1] (analytic) = 2.9120813519046468082132342449119
y[1] (numeric) = 2.9120813519061161169820647554986
absolute error = 1.4693087688305105867e-12
relative error = 5.0455622329009084394101989999999e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5907
Order of pole = 4.438
x[1] = -0.585
y[1] (analytic) = 2.9220456657296640231893544032306
y[1] (numeric) = 2.9220456657311509977428467100722
absolute error = 1.4869745534923068416e-12
relative error = 5.0888135354345820117340160000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5897
Order of pole = 4.438
x[1] = -0.584
y[1] (analytic) = 2.9320612097098139020750197181116
y[1] (numeric) = 2.9320612097113187855268074466123
absolute error = 1.5048834517877285007e-12
relative error = 5.1325103541636731926323990000001e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5887
Order of pole = 4.438
x[1] = -0.583
y[1] (analytic) = 2.9421283356380005295831004148401
y[1] (numeric) = 2.9421283356395235688171943852406
absolute error = 1.5230392340939704005e-12
relative error = 5.1766580527619959942594500000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5877
Order of pole = 4.438
x[1] = -0.582
y[1] (analytic) = 2.9522473983319802199424311757325
y[1] (numeric) = 2.9522473983335216656783021149343
absolute error = 1.5414457358709392018e-12
relative error = 5.2212620688288388112970500000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5867
Order of pole = 4.438
x[1] = -0.581
y[1] (analytic) = 2.9624187556656258702105094767776
y[1] (numeric) = 2.9624187556671859770694086380224
absolute error = 1.5601068588991612448e-12
relative error = 5.2663279150371866811717760000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5857
Order of pole = 4.438
x[1] = -0.58
y[1] (analytic) = 2.9726427686005689638259101488997
y[1] (numeric) = 2.9726427686021479903984535699103
absolute error = 1.5790265725434210106e-12
relative error = 5.3118611803017937138685060000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5847
Order of pole = 4.438
x[1] = -0.579
y[1] (analytic) = 2.9829198012182244468175228640803
y[1] (numeric) = 2.9829198012198226557325655746652
absolute error = 1.5982089150427105849e-12
relative error = 5.3578675309674838190304580000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5837
Order of pole = 4.438
x[1] = -0.578
y[1] (analytic) = 2.9932502207522037804750288100334
y[1] (numeric) = 2.9932502207538214384698558946788
absolute error = 1.6176579948270846454e-12
relative error = 5.4043527120180657375845900000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5827
Order of pole = 4.438
x[1] = -0.577
y[1] (analytic) = 3.0036343976211215570840717267894
y[1] (numeric) = 3.0036343976227589350759337567758
absolute error = 1.6373779918620299864e-12
relative error = 5.4513225483062564337215200000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5816
Order of pole = 4.438
x[1] = -0.576
y[1] (analytic) = 3.014072705461801149567329863131
y[1] (numeric) = 3.0140727054634585227263508365956
absolute error = 1.6573731590209734646e-12
relative error = 5.4987829458050151316459419999999e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5806
Order of pole = 4.438
x[1] = -0.575
y[1] (analytic) = 3.0245655211628849515767060061822
y[1] (numeric) = 3.0245655211645625994001925736945
absolute error = 1.6776478234865675123e-12
relative error = 5.5467398928806987032169980000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5796
Order of pole = 4.438
x[1] = -0.574
y[1] (analytic) = 3.0351132248988548517802456620644
y[1] (numeric) = 3.0351132249005530581684270700891
absolute error = 1.6982063881814080247e-12
relative error = 5.5951994615884577175408190000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5786
Order of pole = 4.438
x[1] = -0.573
y[1] (analytic) = 3.0457162001644686748088813084397
y[1] (numeric) = 3.0457162001661877281421101639437
absolute error = 1.7190533332288555040e-12
relative error = 5.6441678089903012762832000000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5776
Order of pole = 4.438
x[1] = -0.572
y[1] (analytic) = 3.0563748338096184116019988691413
y[1] (numeric) = 3.0563748338113586048194435159791
absolute error = 1.7401932174446468378e-12
relative error = 5.6936511784962677562559300000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5766
Order of pole = 4.438
x[1] = -0.571
y[1] (analytic) = 3.0670895160746161537470632617884
y[1] (numeric) = 3.0670895160763777844269232638115
absolute error = 1.7616306798600020231e-12
relative error = 5.7436559012291477961557019999999e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5756
Order of pole = 4.438
x[1] = -0.57
y[1] (analytic) = 3.0778606406259137398776858181415
y[1] (numeric) = 3.0778606406276971103189627656706
absolute error = 1.7833704412769475291e-12
relative error = 5.7941883974132152915211910000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
memory used=232.7MB, alloc=4.6MB, time=35.22
Real estimate of pole used
Radius of convergence = 0.5746
Order of pole = 4.438
x[1] = -0.569
y[1] (analytic) = 3.0886886045922622173077754646932
y[1] (numeric) = 3.0886886045940676346136320605212
absolute error = 1.8054173058565958280e-12
relative error = 5.8452551777874317846493600000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5736
Order of pole = 4.438
x[1] = -0.568
y[1] (analytic) = 3.0995738086013173188686555598605
y[1] (numeric) = 3.0995738086031450950313966988046
absolute error = 1.8277761627411389441e-12
relative error = 5.8968628450435995184026250000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5726
Order of pole = 4.438
x[1] = -0.567
y[1] (analytic) = 3.1105166568166972534137920308563
y[1] (numeric) = 3.1105166568185477054015023635215
absolute error = 1.8504519877103326652e-12
relative error = 5.9490180952899484853514800000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5716
Order of pole = 4.438
x[1] = -0.566
y[1] (analytic) = 3.121517556975499208695299306711
y[1] (numeric) = 3.1215175569773726585401725740781
absolute error = 1.8734498448732673671e-12
relative error = 6.0017277195406531392205469999999e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5706
Order of pole = 4.438
x[1] = -0.565
y[1] (analytic) = 3.1325769204262810673316083276425
y[1] (numeric) = 3.1325769204281778422200045688584
absolute error = 1.8967748883962412159e-12
relative error = 6.0549986052317849838689340000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5696
Order of pole = 4.438
x[1] = -0.564
y[1] (analytic) = 3.1436951621675149404112582011148
y[1] (numeric) = 3.1436951621694353727755257729726
absolute error = 1.9204323642675718578e-12
relative error = 6.1088377377642180525060659999999e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5685
Order of pole = 4.438
x[1] = -0.563
y[1] (analytic) = 3.1548727008865192289491119033347
y[1] (numeric) = 3.1548727008884636565612121069358
absolute error = 1.9444276121002036011e-12
relative error = 6.1632522020740153544066700000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5675
Order of pole = 4.438
x[1] = -0.562
y[1] (analytic) = 3.166109958998876030964555399009
y[1] (numeric) = 3.1661099590008447970315283875479
absolute error = 1.9687660669729885389e-12
relative error = 6.2182491842308356506887050000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5665
Order of pole = 4.438
x[1] = -0.561
y[1] (analytic) = 3.1774073626883408214233514021899
y[1] (numeric) = 3.1774073626903342746846629442854
absolute error = 1.9934532613115420955e-12
relative error = 6.2738359730649115137995099999999e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5655
Order of pole = 4.438
x[1] = -0.56
y[1] (analytic) = 3.1887653419472514437135085666181
y[1] (numeric) = 3.1887653419492699385403181627118
absolute error = 2.0184948268095960937e-12
relative error = 6.3300199618231614458041370000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5645
Order of pole = 4.438
x[1] = -0.559
y[1] (analytic) = 3.2001843306174435647493295613827
y[1] (numeric) = 3.2001843306194874612457213570554
absolute error = 2.0438964963917956727e-12
relative error = 6.3868086498550109539664140000001e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5635
Order of pole = 4.438
x[1] = -0.558
y[1] (analytic) = 3.2116647664316798612560820901514
y[1] (numeric) = 3.2116647664337495253623010003951
absolute error = 2.0696641062189102437e-12
relative error = 6.4442096443285098802965050000001e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5625
Order of pole = 4.438
x[1] = -0.557
y[1] (analytic) = 3.22320709105560032232070910556
y[1] (numeric) = 3.2232070910576961259184455587322
absolute error = 2.0958035977364531722e-12
relative error = 6.5022306619773459667505000000001e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5615
Order of pole = 4.438
x[1] = -0.556
y[1] (analytic) = 3.2348117501302011729427405972109
y[1] (numeric) = 3.2348117501323234939625083272543
absolute error = 2.1223210197677300434e-12
relative error = 6.5608795308793676242654580000001e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5605
Order of pole = 4.438
x[1] = -0.555
y[1] (analytic) = 3.2464791933148500451260607870764
y[1] (numeric) = 3.2464791933169992676567131482935
absolute error = 2.1492225306523612171e-12
relative error = 6.6201641922672421625844460000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5595
Order of pole = 4.438
x[1] = -0.554
y[1] (analytic) = 3.2582098743308451470593026779227
y[1] (numeric) = 3.2582098743330216614597340288573
absolute error = 2.1765144004313509346e-12
relative error = 6.6800927023718893479462820000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5585
Order of pole = 4.438
x[1] = -0.553
y[1] (analytic) = 3.2700042510055263071841993394591
y[1] (numeric) = 3.2700042510077305101972791419733
absolute error = 2.2042030130798025142e-12
relative error = 6.7406732342993440686750200000001e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5575
Order of pole = 4.438
x[1] = -0.552
y[1] (analytic) = 3.2818627853169458984919840501469
y[1] (numeric) = 3.2818627853191781933607724573446
absolute error = 2.2322948687884071977e-12
relative error = 6.8019140799417161517517849999999e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5565
Order of pole = 4.438
x[1] = -0.551
y[1] (analytic) = 3.2937859434391077792636412144848
y[1] (numeric) = 3.2937859434413685758499360774824
absolute error = 2.2607965862948629976e-12
relative error = 6.8638236519229299579735519999999e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5554
Order of pole = 4.438
x[1] = -0.55
y[1] (analytic) = 3.3057741957877825197272075133636
y[1] (numeric) = 3.3057741957900722346324739228362
absolute error = 2.2897149052664094726e-12
relative error = 6.9264104855799413187097260000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5544
Order of pole = 4.438
x[1] = -0.549
y[1] (analytic) = 3.3178280170669073197921712530109
y[1] (numeric) = 3.317828017069226376480905947761
absolute error = 2.3190566887346947501e-12
relative error = 6.9896832409801446706964020000001e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5534
Order of pole = 4.438
x[1] = -0.548
y[1] (analytic) = 3.3299478863155791611861274371056
y[1] (numeric) = 3.3299478863179279901117116594463
absolute error = 2.3488289255842223407e-12
relative error = 7.0536507049756989002391350000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5524
Order of pole = 4.438
x[1] = -0.547
y[1] (analytic) = 3.3421342869556498780120985261188
y[1] (numeric) = 3.3421342869580289167451941834929
absolute error = 2.3790387330956573741e-12
relative error = 7.1183217932955164290446100000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5514
Order of pole = 4.438
x[1] = -0.546
y[1] (analytic) = 3.3543877068399319730173052861796
y[1] (numeric) = 3.3543877068423416663768505910406
absolute error = 2.4096933595453048610e-12
relative error = 7.1837055526756764924673700000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
memory used=236.5MB, alloc=4.6MB, time=35.80
Real estimate of pole used
Radius of convergence = 0.5504
Order of pole = 4.438
x[1] = -0.545
y[1] (analytic) = 3.3667086383010241527677711715473
y[1] (numeric) = 3.366708638303464952954633278015
absolute error = 2.4408001868621064677e-12
relative error = 7.2498111630290403567506019999999e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5494
Order of pole = 4.438
x[1] = -0.544
y[1] (analytic) = 3.3790975782007657035112202935084
y[1] (numeric) = 3.379097578203238070244563830624
absolute error = 2.4723667333435371156e-12
relative error = 7.3166479396548634337931720000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5484
Order of pole = 4.438
x[1] = -0.543
y[1] (analytic) = 3.3915550279803289808377140919111
y[1] (numeric) = 3.3915550279828333814941459104152
absolute error = 2.5044006564318185041e-12
relative error = 7.3842253354892168593388500000001e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5474
Order of pole = 4.438
x[1] = -0.542
y[1] (analytic) = 3.4040814937109594403690024339183
y[1] (numeric) = 3.4040814937134963501245543373644
absolute error = 2.5369097555519034461e-12
relative error = 7.4525529433970491584356649999999e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5464
Order of pole = 4.438
x[1] = -0.541
y[1] (analytic) = 3.4166774861453727936805133216255
y[1] (numeric) = 3.4166774861479426956555260443367
absolute error = 2.5699019750127227112e-12
relative error = 7.5216404985067370855943840000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5454
Order of pole = 4.438
x[1] = -0.54
y[1] (analytic) = 3.4293435207698190335424089766496
y[1] (numeric) = 3.4293435207724224189493822015875
absolute error = 2.6033854069732249379e-12
relative error = 7.5914978805879936511657790000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5444
Order of pole = 4.438
x[1] = -0.539
y[1] (analytic) = 3.4420801178568232354176275806996
y[1] (numeric) = 3.4420801178594606037121023608331
absolute error = 2.6373682944747801335e-12
relative error = 7.6621351164740207394468699999999e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5433
Order of pole = 4.438
x[1] = -0.538
y[1] (analytic) = 3.4548878025186132080360690286583
y[1] (numeric) = 3.4548878025212850670706105870049
absolute error = 2.6718590345415583466e-12
relative error = 7.7335623825288135563163700000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5423
Order of pole = 4.438
x[1] = -0.537
y[1] (analytic) = 3.4677671047612442348371883344315
y[1] (numeric) = 3.4677671047639511010185388717577
absolute error = 2.7068661813505373262e-12
relative error = 7.8057900071605444875629399999999e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5413
Order of pole = 4.438
x[1] = -0.536
y[1] (analytic) = 3.4807185595394313202017424477109
y[1] (numeric) = 3.4807185595421737186512152841055
absolute error = 2.7423984494728363946e-12
relative error = 7.8788284733819747765939620000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5403
Order of pole = 4.438
x[1] = -0.535
y[1] (analytic) = 3.4937427068120995297422316630914
y[1] (numeric) = 3.4937427068148779944594197814859
absolute error = 2.7784647171881183945e-12
relative error = 7.9526884214188637558415700000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5393
Order of pole = 4.438
x[1] = -0.534
y[1] (analytic) = 3.506840091598663192557082589591
y[1] (numeric) = 3.5068400916014782665869564370622
absolute error = 2.8150740298738474712e-12
relative error = 8.0273806513673672334497840000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5383
Order of pole = 4.438
x[1] = -0.533
y[1] (analytic) = 3.5200112640360449153437290999331
y[1] (numeric) = 3.5200112640388971509472003375745
absolute error = 2.8522356034712376414e-12
relative error = 8.1029161259014390154532600000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5373
Order of pole = 4.438
x[1] = -0.532
y[1] (analytic) = 3.5332567794364455436798869357831
y[1] (numeric) = 3.5332567794393355025079167114177
absolute error = 2.8899588280297756346e-12
relative error = 8.1793059730312724898266499999999e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5363
Order of pole = 4.438
x[1] = -0.531
y[1] (analytic) = 3.5465771983458763946914832495159
y[1] (numeric) = 3.5465771983488046479628155009187
absolute error = 2.9282532713322514028e-12
relative error = 8.2565614889138427003629360000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5353
Order of pole = 4.438
x[1] = -0.53
y[1] (analytic) = 3.5599730866034652778024998131014
y[1] (numeric) = 3.5599730866064324064851020941221
absolute error = 2.9671286826022810207e-12
relative error = 8.3346941407166334099565070000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5343
Order of pole = 4.438
x[1] = -0.529
y[1] (analytic) = 3.5734450154015480163806719506007
y[1] (numeric) = 3.5734450154045546113769683100968
absolute error = 3.0065949962963594961e-12
relative error = 8.4137155695356583410761620000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5333
Order of pole = 4.438
x[1] = -0.528
y[1] (analytic) = 3.5869935613465573829294976415517
y[1] (numeric) = 3.5869935613496040452654801768567
absolute error = 3.0466623359825353050e-12
relative error = 8.4936375933689110500442500000001e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5323
Order of pole = 4.438
x[1] = -0.527
y[1] (analytic) = 3.6006193065207215641090267526014
y[1] (numeric) = 3.6006193065238089051273346069228
absolute error = 3.0873410183078543214e-12
relative error = 8.5744722101464038068242200000001e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5313
Order of pole = 4.438
x[1] = -0.526
y[1] (analytic) = 3.6143228385445844793748667218453
y[1] (numeric) = 3.6143228385477131209319235001117
absolute error = 3.1286415570567782664e-12
relative error = 8.6562316008179824041275280000001e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5302
Order of pole = 4.438
x[1] = -0.525
y[1] (analytic) = 3.6281047506403604884880236262181
y[1] (numeric) = 3.6281047506435310631553264681215
absolute error = 3.1705746673028419034e-12
relative error = 8.7389281325001310246652840000001e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5292
Order of pole = 4.438
x[1] = -0.524
y[1] (analytic) = 3.6419656416961362386507245690644
y[1] (numeric) = 3.6419656416993493899203804430757
absolute error = 3.2131512696558740113e-12
relative error = 8.8225743616830091840072010000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5282
Order of pole = 4.438
x[1] = -0.523
y[1] (analytic) = 3.6559061163309326216502760209118
y[1] (numeric) = 3.6559061163341890041448831906387
absolute error = 3.2563824946071697269e-12
relative error = 8.9071830374989913539895700000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5272
Order of pole = 4.438
memory used=240.3MB, alloc=4.6MB, time=36.41
x[1] = -0.522
y[1] (analytic) = 3.6699267849606400352312971356221
y[1] (numeric) = 3.6699267849639403149182722018304
absolute error = 3.3002796869750662083e-12
relative error = 8.9927671050540091576862550000001e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5262
Order of pole = 4.438
x[1] = -0.521
y[1] (analytic) = 3.6840282638648403710553267364667
y[1] (numeric) = 3.6840282638681852254657801762679
absolute error = 3.3448544104534398012e-12
relative error = 9.0793397088230260651733040000001e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5252
Order of pole = 4.438
x[1] = -0.52
y[1] (analytic) = 3.6982111752545293841368929848632
y[1] (numeric) = 3.6982111752579195025891586958993
absolute error = 3.3901184522657110361e-12
relative error = 9.1669141961110052987247610000001e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5242
Order of pole = 4.438
x[1] = -0.519
y[1] (analytic) = 3.7124761473407533356598183856669
y[1] (numeric) = 3.7124761473441894194877453995772
absolute error = 3.4360838279270139103e-12
relative error = 9.2555041205807632090622859999999e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5232
Order of pole = 4.438
x[1] = -0.518
y[1] (analytic) = 3.7268238144041740426721326749278
y[1] (numeric) = 3.7268238144076568054582499330066
absolute error = 3.4827627861172580788e-12
relative error = 9.3451232458491327399401000000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5222
Order of pole = 4.438
x[1] = -0.517
y[1] (analytic) = 3.7412548168655767144300198286505
y[1] (numeric) = 3.7412548168691068822436877154983
absolute error = 3.5301678136678868478e-12
relative error = 9.4357855491528947554846200000001e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5212
Order of pole = 4.438
x[1] = -0.516
y[1] (analytic) = 3.7557698013573352062105409435245
y[1] (numeric) = 3.7557698013609135178512061538368
absolute error = 3.5783116406652103123e-12
relative error = 9.5275052250859690212206110000000e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5202
Order of pole = 4.438
x[1] = -0.515
y[1] (analytic) = 3.7703694207958495773415879287853
y[1] (numeric) = 3.7703694207994767845872612004408
absolute error = 3.6272072456732716555e-12
relative error = 9.6202966894093914810164299999999e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5192
Order of pole = 4.438
x[1] = -0.514
y[1] (analytic) = 3.7850543344549711011101564362956
y[1] (numeric) = 3.7850543344586479689712357219166
absolute error = 3.6768678610792856210e-12
relative error = 9.7141745829356402321133700000001e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5181
Order of pole = 4.438
x[1] = -0.513
y[1] (analytic) = 3.7998252080404301402135501766919
y[1] (numeric) = 3.7998252080441574471921149482274
absolute error = 3.7273069785647715355e-12
relative error = 9.8091537754889092499753499999999e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5171
Order of pole = 4.438
x[1] = -0.512
y[1] (analytic) = 3.8146827137652825726220221633066
y[1] (numeric) = 3.8146827137690611109767277523957
absolute error = 3.7785383547055890891e-12
relative error = 9.9052493699429665176211949999999e-11 %
Correct digits = 12
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5161
Order of pole = 4.438
x[1] = -0.511
y[1] (analytic) = 3.8296275304263907292376743437933
y[1] (numeric) = 3.8296275304302213052543785172252
absolute error = 3.8305760167041734319e-12
relative error = 1.0002476706338271748845918000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5151
Order of pole = 4.438
x[1] = -0.51
y[1] (analytic) = 3.8446603434819550866778674438007
y[1] (numeric) = 3.8446603434858385209461248009224
absolute error = 3.8834342682573571217e-12
relative error = 1.0100851366080068447112917000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5141
Order of pole = 4.438
x[1] = -0.509
y[1] (analytic) = 3.8597818451301132459993361175226
y[1] (numeric) = 3.859781845134050373694899377642
absolute error = 3.9371276955632601194e-12
relative error = 1.0200389176219205582543908000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5131
Order of pole = 4.438
x[1] = -0.508
y[1] (analytic) = 3.8749927343886230213318350028094
y[1] (numeric) = 3.874992734392614692505305828283
absolute error = 3.9916711734708254736e-12
relative error = 1.0301106213817485758445840000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5121
Order of pole = 4.438
x[1] = -0.507
y[1] (analytic) = 3.8902937171756467613304804512741
y[1] (numeric) = 3.8902937171796938412022561289277
absolute error = 4.0470798717756776536e-12
relative error = 1.0403018810399379408578800000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5111
Order of pole = 4.438
x[1] = -0.506
y[1] (analytic) = 3.9056855063916543312099423130251
y[1] (numeric) = 3.9056855063957577004716083957826
absolute error = 4.1033692616660827575e-12
relative error = 1.0506143556491988309820275000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5101
Order of pole = 4.438
x[1] = -0.505
y[1] (analytic) = 3.9211688220024624940202175464462
y[1] (numeric) = 3.9211688220066230491425404416026
absolute error = 4.1605551223228951564e-12
relative error = 1.0610497306255186601560664000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5091
Order of pole = 4.438
x[1] = -0.504
y[1] (analytic) = 3.9367443911234287468948928615014
y[1] (numeric) = 3.9367443911276474004425703451105
absolute error = 4.2186535476774836091e-12
relative error = 1.0716097182203913539327547000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5081
Order of pole = 4.438
x[1] = -0.503
y[1] (analytic) = 3.9524129481048179913837397731315
y[1] (numeric) = 3.9524129481090956723370715147483
absolute error = 4.2776809533317416168e-12
relative error = 1.0822960580024639464665680000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5071
Order of pole = 4.438
x[1] = -0.502
y[1] (analytic) = 3.9681752346183607468105791551755
y[1] (numeric) = 3.968175234622698400894223557047
absolute error = 4.3376540836444018715e-12
relative error = 1.0931105173488074936273575000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5061
Order of pole = 4.438
x[1] = -0.501
y[1] (analytic) = 3.984031999745021952016318595071
y[1] (numeric) = 3.9840319997494205420353065882784
absolute error = 4.3985900189879932074e-12
relative error = 1.1040548919460242710438148000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.505
Order of pole = 4.438
x[1] = -0.5
y[1] (analytic) = 3.999984000063999744001023995904
y[1] (numeric) = 3.9999840000684602501842048964926
absolute error = 4.4605061831809005886e-12
relative error = 1.1151310063014083280505886000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.504
Order of pole = 4.438
x[1] = -0.499
y[1] (analytic) = 4.0160319997429739520164496670709
y[1] (numeric) = 4.0160319997474973723675487815573
absolute error = 4.5234203510991144864e-12
relative error = 1.1263407142643817053425728000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
memory used=244.1MB, alloc=4.6MB, time=37.01
Real estimate of pole used
Radius of convergence = 0.503
Order of pole = 4.438
x[1] = -0.498
y[1] (analytic) = 4.0321767706296244027338158504869
y[1] (numeric) = 4.0321767706342117533902882361153
absolute error = 4.5873506564723856284e-12
relative error = 1.1376858995584339977713420000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.502
Order of pole = 4.438
x[1] = -0.497
y[1] (analytic) = 4.0484190923444394963766649123517
y[1] (numeric) = 4.0484190923490918119765345470135
absolute error = 4.6523155998696346618e-12
relative error = 1.1491684763237984578112180000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.501
Order of pole = 4.438
x[1] = -0.496
y[1] (analytic) = 4.0647597523748358853249978660011
y[1] (numeric) = 4.0647597523795542193818764698984
absolute error = 4.7183340568786038973e-12
relative error = 1.1607903896711034950020541000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.5
Order of pole = 4.438
x[1] = -0.495
y[1] (analytic) = 4.0811995461706104658281161999135
y[1] (numeric) = 4.0811995461753958911146010800302
absolute error = 4.7854252864848801167e-12
relative error = 1.1725536162462442354745342000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.499
Order of pole = 4.438
x[1] = -0.494
y[1] (analytic) = 4.0977392772407462802771710847126
y[1] (numeric) = 4.0977392772455998892168266482829
absolute error = 4.8536089396555635703e-12
relative error = 1.1844601648067247670053011000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.498
Order of pole = 4.438
x[1] = -0.493
y[1] (analytic) = 4.1143797572515943221559349927998
y[1] (numeric) = 4.1143797572565172272240680017085
absolute error = 4.9229050681330089087e-12
relative error = 1.1965120768097278152595350000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.497
Order of pole = 4.438
x[1] = -0.492
y[1] (analytic) = 4.131121806126453638485530745874
y[1] (numeric) = 4.1311218061314469726189749648995
absolute error = 4.9933341334442190255e-12
relative error = 1.2087114270121748784076575000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.496
Order of pole = 4.438
x[1] = -0.491
y[1] (analytic) = 4.1479662521465725354858512871139
y[1] (numeric) = 4.1479662521516374525019829199037
absolute error = 5.0649170161316327898e-12
relative error = 1.2210603240830462962305636000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.495
Order of pole = 4.438
x[1] = -0.49
y[1] (analytic) = 4.1649139320535941124776656490394
y[1] (numeric) = 4.1649139320587317875028768616117
absolute error = 5.1376750252112125723e-12
relative error = 1.2335609112282373498218023000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.494
Order of pole = 4.438
x[1] = -0.489
y[1] (analytic) = 4.1819656911534697769339500338739
y[1] (numeric) = 4.1819656911586814068418139413574
absolute error = 5.2116299078639074835e-12
relative error = 1.2462153668282332852694870000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.493
Order of pole = 4.438
x[1] = -0.488
y[1] (analytic) = 4.1991223834218648302504776501711
y[1] (numeric) = 4.1991223834271516341098443936791
absolute error = 5.2868038593667435080e-12
relative error = 1.2590259050888931327126600000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4919
Order of pole = 4.438
x[1] = -0.487
y[1] (analytic) = 4.216384871611080659442593919973
y[1] (numeric) = 4.2163848716164438789758638923914
absolute error = 5.3632195332699724184e-12
relative error = 1.2719947767056393584719280000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4909
Order of pole = 4.438
x[1] = -0.486
y[1] (analytic) = 4.2337540273585185247907467071978
y[1] (numeric) = 4.2337540273639594248425736048482
absolute error = 5.4409000518268976504e-12
relative error = 1.2851242695413577443315288000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4899
Order of pole = 4.438
x[1] = -0.485
y[1] (analytic) = 4.2512307312967103976601226054943
y[1] (numeric) = 4.2512307313022302666768057929178
absolute error = 5.5198690166831874235e-12
relative error = 1.2984167093183194448802110000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4889
Order of pole = 4.438
x[1] = -0.484
y[1] (analytic) = 4.2688158731649427765232202239421
y[1] (numeric) = 4.2688158731705429270430529074133
absolute error = 5.6001505198326834712e-12
relative error = 1.3118744603244449319128984000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4879
Order of pole = 4.438
x[1] = -0.483
y[1] (analytic) = 4.2865103519224998928372412019375
y[1] (numeric) = 4.2865103519281816619920881199551
absolute error = 5.6817691548469180176e-12
relative error = 1.3254999261342375043259040000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4869
Order of pole = 4.438
x[1] = -0.482
y[1] (analytic) = 4.3043150758635532120951253631766
y[1] (numeric) = 4.3043150758693179621235111254724
absolute error = 5.7647500283857622958e-12
relative error = 1.3392955503447222253717350000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4859
Order of pole = 4.438
x[1] = -0.481
y[1] (analytic) = 4.3222309627337246393098261598707
y[1] (numeric) = 4.322230962739573758081823007046
absolute error = 5.8491187719968471753e-12
relative error = 1.3532638173267345561717586000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4849
Order of pole = 4.438
x[1] = -0.48
y[1] (analytic) = 4.3402589398483513526416986037387
y[1] (numeric) = 4.3402589398542862541959102242963
absolute error = 5.9349015542116205576e-12
relative error = 1.3674072529919115880915976000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4839
Order of pole = 4.438
x[1] = -0.479
y[1] (analytic) = 4.3583999442124807140802468597728
y[1] (numeric) = 4.3583999442185028391731929971268
absolute error = 6.0221250929461373540e-12
relative error = 1.3817284255757476467764680000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4829
Order of pole = 4.438
x[1] = -0.478
y[1] (analytic) = 4.3766549226426242422916165174957
y[1] (numeric) = 4.3766549226487350589598314338008
absolute error = 6.1108166682149163051e-12
relative error = 1.3962299464370851519707735000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4819
Order of pole = 4.438
x[1] = -0.477
y[1] (analytic) = 4.3950248318903001801960181075023
y[1] (numeric) = 4.3950248318965011843311845513935
absolute error = 6.2010041351664438912e-12
relative error = 1.4109144708744209785647360000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4809
Order of pole = 4.438
x[1] = -0.476
y[1] (analytic) = 4.4135106387673947488050419945537
y[1] (numeric) = 4.4135106387736874647424911539146
absolute error = 6.2927159374491593609e-12
relative error = 1.4257846989594181805146393000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4798
Order of pole = 4.438
x[1] = -0.475
y[1] (analytic) = 4.432113320273372749594461631195
y[1] (numeric) = 4.4321133202797587307153786479482
absolute error = 6.3859811209170167532e-12
relative error = 1.4408433763880228219575032000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
memory used=247.9MB, alloc=4.6MB, time=37.60
Real estimate of pole used
Radius of convergence = 0.4788
Order of pole = 4.438
x[1] = -0.474
y[1] (analytic) = 4.4508338637243687604872772914005
y[1] (numeric) = 4.4508338637308495898349612813599
absolute error = 6.4808293476839899594e-12
relative error = 1.4560932953495958121081138000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4778
Order of pole = 4.438
x[1] = -0.473
y[1] (analytic) = 4.4696732668841907656550306172619
y[1] (numeric) = 4.4696732668907680565655677829253
absolute error = 6.5772909105371656634e-12
relative error = 1.4715372954144800738724820000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4768
Order of pole = 4.438
x[1] = -0.472
y[1] (analytic) = 4.4886325380972686671005678120161
y[1] (numeric) = 4.4886325381039440638482861687194
absolute error = 6.6753967477183567033e-12
relative error = 1.4871782644404340981446905000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4758
Order of pole = 4.438
x[1] = -0.471
y[1] (analytic) = 4.5077126964235807466575310356019
y[1] (numeric) = 4.5077126964303559251156155009124
absolute error = 6.7751784580844653105e-12
relative error = 1.5030191394983739534119410000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4748
Order of pole = 4.438
x[1] = -0.47
y[1] (analytic) = 4.5269147717755917809335403642356
y[1] (numeric) = 4.5269147717824684492501974963665
absolute error = 6.8766683166571321309e-12
relative error = 1.5190629078178771448479409000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4738
Order of pole = 4.438
x[1] = -0.469
y[1] (analytic) = 4.5462398050572371591456706158336
y[1] (numeric) = 4.5462398050642170584362431390716
absolute error = 6.9798992905725232380e-12
relative error = 1.5353126077529133564769560000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4728
Order of pole = 4.438
x[1] = -0.468
y[1] (analytic) = 4.5656888483049880150667731994065
y[1] (numeric) = 4.5656888483120729201222156332488
absolute error = 7.0849050554424338423e-12
relative error = 1.5517713297682790723097575000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4718
Order of pole = 4.438
x[1] = -0.467
y[1] (analytic) = 4.5852629648310330597459764317484
y[1] (numeric) = 4.5852629648382247797581146562051
absolute error = 7.1917200121382244567e-12
relative error = 1.5684422174472253717617030000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4708
Order of pole = 4.438
x[1] = -0.466
y[1] (analytic) = 4.6049632293686134916212694041638
y[1] (numeric) = 4.604963229375913870925278857391
absolute error = 7.3003793040094532272e-12
relative error = 1.5853284685207808344590704000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4698
Order of pole = 4.438
x[1] = -0.465
y[1] (analytic) = 4.624790728219548065450038385763
y[1] (numeric) = 4.6247907282269589842845878131561
absolute error = 7.4109188345494273931e-12
relative error = 1.6024333359192844875004406000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4688
Order of pole = 4.438
x[1] = -0.464
y[1] (analytic) = 4.6447465594039861214972805008895
y[1] (numeric) = 4.6447465594115094967828007686561
absolute error = 7.5233752855202677666e-12
relative error = 1.6197601288466570893456802000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4678
Order of pole = 4.438
x[1] = -0.463
y[1] (analytic) = 4.6648318328124271120026123058264
y[1] (numeric) = 4.6648318328200648981381627689634
absolute error = 7.6377861355504631370e-12
relative error = 1.6373122138779527826786900000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4667
Order of pole = 4.438
x[1] = -0.462
y[1] (analytic) = 4.68504767036004591346716952845
y[1] (numeric) = 4.6850476703678001031463878154772
absolute error = 7.7541896792182870272e-12
relative error = 1.6550930160807472745207040000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4657
Order of pole = 4.438
x[1] = -0.461
y[1] (analytic) = 4.7053952061433639811407760137774
y[1] (numeric) = 4.7053952061512366061874108714781
absolute error = 7.8726250466348577007e-12
relative error = 1.6731060201609332282681654000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4647
Order of pole = 4.438
x[1] = -0.46
y[1] (analytic) = 4.7258755865993071866390045415664
y[1] (numeric) = 4.7258755866073003188625455857434
absolute error = 7.9931322235410441770e-12
relative error = 1.6913547716335084888973770000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4637
Order of pole = 4.438
x[1] = -0.459
y[1] (analytic) = 4.7464899706666919812798435556906
y[1] (numeric) = 4.7464899706748077333517764124405
absolute error = 8.1157520719328567499e-12
relative error = 1.7098428780189581257824318000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4627
Order of pole = 4.438
x[1] = -0.458
y[1] (analytic) = 4.7672395299501823469120205944748
y[1] (numeric) = 4.7672395299584228732632510050602
absolute error = 8.2405263512304105854e-12
relative error = 1.7285740100658470764464310000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4617
Order of pole = 4.438
x[1] = -0.457
y[1] (analytic) = 4.7881254488867608331338281062964
y[1] (numeric) = 4.788125448895128330873834122218
absolute error = 8.3674977400060159216e-12
relative error = 1.7475519030002564252261600000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4607
Order of pole = 4.438
x[1] = -0.456
y[1] (analytic) = 4.8091489249147578353058859173692
y[1] (numeric) = 4.8091489249232545451641733460949
absolute error = 8.4967098582874287257e-12
relative error = 1.7667803578027130669358809000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4597
Order of pole = 4.438
x[1] = -0.455
y[1] (analytic) = 4.8303111686454841420884333368756
y[1] (numeric) = 4.8303111686541123493788861287933
absolute error = 8.6282072904527919177e-12
relative error = 1.7862632425132796995537602000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4587
Order of pole = 4.438
x[1] = -0.454
y[1] (analytic) = 4.8516134040375126748400180480019
y[1] (numeric) = 4.8516134040462747104487523580247
absolute error = 8.7620356087343100228e-12
relative error = 1.8060044935654897789694676000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4577
Order of pole = 4.438
x[1] = -0.453
y[1] (analytic) = 4.8730568685736562545684908142878
y[1] (numeric) = 4.8730568685825544959658390442321
absolute error = 8.8982413973482299443e-12
relative error = 1.8260081171498302668698030000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4567
Order of pole = 4.438
x[1] = -0.452
y[1] (analytic) = 4.8946428134406891657081324490345
y[1] (numeric) = 4.8946428134497260379854016971012
absolute error = 9.0368722772692480667e-12
relative error = 1.8462781906074937262671435000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4557
Order of pole = 4.438
x[1] = -0.451
y[1] (analytic) = 4.9163725037118612403024552364284
y[1] (numeric) = 4.9163725037210392172341232661605
absolute error = 9.1779769316680297321e-12
relative error = 1.8668188638551405835686042000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
memory used=251.7MB, alloc=4.6MB, time=38.19
Real estimate of pole used
Radius of convergence = 0.4547
Order of pole = 4.438
x[1] = -0.45
y[1] (analytic) = 4.9382472185322541617078434180572
y[1] (numeric) = 4.9382472185415757668398745300021
absolute error = 9.3216051320311119449e-12
relative error = 1.8876343608414321999541949000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4536
Order of pole = 4.438
x[1] = -0.449
y[1] (analytic) = 4.9602682513070306842194025852918
y[1] (numeric) = 4.9602682513164984919843856499098
absolute error = 9.4678077649830646180e-12
relative error = 1.9087289810361157931180360000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4526
Order of pole = 4.438
x[1] = -0.448
y[1] (analytic) = 4.982436909892628484591813856157
y[1] (numeric) = 4.9824369099022451214516452666586
absolute error = 9.6166368598314105016e-12
relative error = 1.9301071009524632447236280000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4516
Order of pole = 4.438
x[1] = -0.447
y[1] (analytic) = 5.0047545167909514038336419598619
y[1] (numeric) = 5.0047545168007195494504974097085
absolute error = 9.7681456168554498466e-12
relative error = 1.9517731757038874338491460000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4506
Order of pole = 4.438
x[1] = -0.446
y[1] (analytic) = 5.0272224093466119034572208509077
y[1] (numeric) = 5.0272224093565342918935816545339
absolute error = 9.9223884363608036262e-12
relative error = 1.9737317405955819749128254000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4496
Order of pole = 4.438
x[1] = -0.445
y[1] (analytic) = 5.0498419399472796501469504004525
y[1] (numeric) = 5.0498419399573590710954725800046
absolute error = 1.00794209485221795521e-11
relative error = 1.9959874127520531279841546000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4486
Order of pole = 4.438
x[1] = -0.444
y[1] (analytic) = 5.0726144762271922571612634868137
y[1] (numeric) = 5.0726144762374315572053010658172
absolute error = 1.02393000440375790035e-11
relative error = 2.0185448927814362120129795000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4476
Order of pole = 4.438
x[1] = -0.443
y[1] (analytic) = 5.0955414012738853503184713375796
y[1] (numeric) = 5.0955414012842874342240892387623
absolute error = 1.04020839056179011827e-11
relative error = 2.0414089664775131071048750000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4466
Order of pole = 4.438
x[1] = -0.442
y[1] (analytic) = 5.1186241138382002917615744887774
y[1] (numeric) = 5.1186241138487681238019111529931
absolute error = 1.05678320403366642157e-11
relative error = 2.0645845065603724045002305000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4456
Order of pole = 4.438
x[1] = -0.441
y[1] (analytic) = 5.1418640285476290864964366882282
y[1] (numeric) = 5.1418640285583656918093020406661
absolute error = 1.07366053128653524379e-11
relative error = 2.0880764744566794728276678000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4446
Order of pole = 4.438
x[1] = -0.44
y[1] (analytic) = 5.1652625761230572156135557151048
y[1] (numeric) = 5.1652625761339656815931764308197
absolute error = 1.09084659796207157149e-11
relative error = 2.1118899221205501831203549000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4436
Order of pole = 4.438
x[1] = -0.439
y[1] (analytic) = 5.1888212035989663868162430858957
y[1] (numeric) = 5.1888212036100498645400942772192
absolute error = 1.10834777238511913235e-11
relative error = 2.1360299938960492942475670000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4426
Order of pole = 4.438
x[1] = -0.438
y[1] (analytic) = 5.212541374547160468086215434335
y[1] (numeric) = 5.2125413745584221737779059270349
absolute error = 1.12617056916904926999e-11
relative error = 2.1605019284223625720123155000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4415
Order of pole = 4.438
x[1] = -0.437
y[1] (analytic) = 5.2364245693040791747394878776771
y[1] (numeric) = 5.2364245693155223912686951910009
absolute error = 1.14432165292073133238e-11
relative error = 2.1853110605827206254460860000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4405
Order of pole = 4.438
x[1] = -0.436
y[1] (analytic) = 5.2604722852017654144989137124731
y[1] (numeric) = 5.260472285213393492919394741725
absolute error = 1.16280784204810292519e-11
relative error = 2.2104628234981822176984343000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4395
Order of pole = 4.438
x[1] = -0.435
y[1] (analytic) = 5.2846860368025535602929829938803
y[1] (numeric) = 5.2846860368143699214197172453973
absolute error = 1.18163611267342515170e-11
relative error = 2.2359627505674154775558420000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4385
Order of pole = 4.438
x[1] = -0.434
y[1] (analytic) = 5.3090673561375473170628115758905
y[1] (numeric) = 5.3090673561495554530893656568456
absolute error = 1.20081360265540809551e-11
relative error = 2.2618164775536470264597707000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4375
Order of pole = 4.438
x[1] = -0.433
y[1] (analytic) = 5.3336177929489572777214784788522
y[1] (numeric) = 5.3336177929611607538787134331328
absolute error = 1.22034761572349542806e-11
relative error = 2.2880297447199815780696940000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4365
Order of pole = 4.438
x[1] = -0.432
y[1] (analytic) = 5.3583389149363697253851306095111
y[1] (numeric) = 5.3583389149487721816424076521939
absolute error = 1.24024562572770426828e-11
relative error = 2.3146083990143280906775500000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4355
Order of pole = 4.438
x[1] = -0.431
y[1] (analytic) = 5.3832323080070197349296411537343
y[1] (numeric) = 5.3832323080196248877397164279726
absolute error = 1.26051528100752742383e-11
relative error = 2.3415583963052030930550846000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4345
Order of pole = 4.438
x[1] = -0.43
y[1] (analytic) = 5.4082995765301431576897907528894
y[1] (numeric) = 5.4082995765429548017786259532924
absolute error = 1.28116440888352004030e-11
relative error = 2.3688858036697173897151030000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4335
Order of pole = 4.438
x[1] = -0.429
y[1] (analytic) = 5.4335423435954836396040034339988
y[1] (numeric) = 5.4335423436085056498067565502576
absolute error = 1.30220102027531162588e-11
relative error = 2.3965968017350890225020696000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4325
Order of pole = 4.438
x[1] = -0.428
y[1] (analytic) = 5.4589622512760324262357725796326
y[1] (numeric) = 5.4589622512892687593802716551617
absolute error = 1.32363331444990755291e-11
relative error = 2.4246976870750631507981835000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4315
Order of pole = 4.438
memory used=255.5MB, alloc=4.6MB, time=38.77
x[1] = -0.427
y[1] (analytic) = 5.4845609608950803488180771129271
y[1] (numeric) = 5.4845609609085350456571198291865
absolute error = 1.34546968390427162594e-11
relative error = 2.4531948746626584555764020000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4305
Order of pole = 4.438
x[1] = -0.426
y[1] (analytic) = 5.5103401532976630647409864610942
y[1] (numeric) = 5.5103401533113402519348495941986
absolute error = 1.36771871938631331044e-11
relative error = 2.4820949003806998063871988000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4295
Order of pole = 4.438
x[1] = -0.425
y[1] (analytic) = 5.5363015291264823447344236156478
y[1] (numeric) = 5.53630152914038623688500901474
absolute error = 1.39038921505853990922e-11
relative error = 2.5114044235916382964277172000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4284
Order of pole = 4.438
x[1] = -0.424
y[1] (analytic) = 5.5624468091023879584151476551505
y[1] (numeric) = 5.5624468091165228601532354104859
absolute error = 1.41349017380877553354e-11
relative error = 2.5411302297682023909322058000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4274
Order of pole = 4.438
x[1] = -0.423
y[1] (analytic) = 5.5887777343095065109260604705751
y[1] (numeric) = 5.5887777343238768190531854238416
absolute error = 1.43703081271249532665e-11
relative error = 2.5712792331864678879748450000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4264
Order of pole = 4.438
x[1] = -0.422
y[1] (analytic) = 5.6152960664851054271836482578544
y[1] (numeric) = 5.6152960664997156328701630103895
absolute error = 1.46102056865147525351e-11
relative error = 2.6018584796829797052132835000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4254
Order of pole = 4.438
x[1] = -0.421
y[1] (analytic) = 5.6420035883142821678834587738798
y[1] (numeric) = 5.6420035883291368589243949245831
absolute error = 1.48546910409361507033e-11
relative error = 2.6328751494776052229542986000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4244
Order of pole = 4.438
x[1] = -0.42
y[1] (analytic) = 5.6689021037295706940436845596113
y[1] (numeric) = 5.668902103744674557174074110037
absolute error = 1.51038631303895504257e-11
relative error = 2.6643365600638470846439057000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4234
Order of pole = 4.438
x[1] = -0.419
y[1] (analytic) = 5.6959934382155591756758296214443
y[1] (numeric) = 5.695993438230916998947200379489
absolute error = 1.53578232713707580447e-11
relative error = 2.6962501691683930238436214000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4224
Order of pole = 4.438
x[1] = -0.418
y[1] (analytic) = 5.7232794391186149663757332951781
y[1] (numeric) = 5.7232794391342316415955457519406
absolute error = 1.56166752198124567625e-11
relative error = 2.7286235777817315078278125000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4214
Order of pole = 4.438
x[1] = -0.417
y[1] (analytic) = 5.7507619759618149404796135487952
y[1] (numeric) = 5.7507619759776954657154621588897
absolute error = 1.58805252358486100945e-11
relative error = 2.7614645332617148093326050000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4204
Order of pole = 4.438
x[1] = -0.416
y[1] (analytic) = 5.7784429407651814142161253228705
y[1] (numeric) = 5.7784429407813308963665844525127
absolute error = 1.61494821504591296422e-11
relative error = 2.7947809325120055984902054000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4194
Order of pole = 4.438
x[1] = -0.415
y[1] (analytic) = 5.8063242483713260483318430434429
y[1] (numeric) = 5.8063242483877497057658971313172
absolute error = 1.64236574340540878743e-11
relative error = 2.8285808252373993382391918000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4184
Order of pole = 4.438
x[1] = -0.414
y[1] (analytic) = 5.8344078367766063583376605191456
y[1] (numeric) = 5.8344078367933095236047192933982
absolute error = 1.67031652670587742526e-11
relative error = 2.8628724172780727305728822000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4174
Order of pole = 4.438
x[1] = -0.413
y[1] (analytic) = 5.8626956674679017412206132379668
y[1] (numeric) = 5.862695667484889863833176222405
absolute error = 1.69881226125629844382e-11
relative error = 2.8976640740248682556237740000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4164
Order of pole = 4.438
x[1] = -0.412
y[1] (analytic) = 5.8911897257651182656337447347492
y[1] (numeric) = 5.8911897257823969149248448350985
absolute error = 1.72786492911001003493e-11
relative error = 2.9329643239177865337919285000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4153
Order of pole = 4.439
x[1] = -0.411
y[1] (analytic) = 5.9198920211695338677022531109033
y[1] (numeric) = 5.9198920211871087357598768774268
absolute error = 1.75748680576237665235e-11
relative error = 2.9687818620299218886826670000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4143
Order of pole = 4.439
x[1] = -0.41
y[1] (analytic) = 5.948804587718098048197214769692
y[1] (numeric) = 5.9488045877359749528779670683761
absolute error = 1.78769046807522986841e-11
relative error = 3.0051255537391421610958941000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4133
Order of pole = 4.439
x[1] = -0.409
y[1] (analytic) = 5.9779294843438026805035807797611
y[1] (numeric) = 5.9779294843619875685279341566486
absolute error = 1.81848880243533768875e-11
relative error = 3.0420044384898815924947750000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4123
Order of pole = 4.439
x[1] = -0.408
y[1] (analytic) = 6.0072687952422431141681434535788
y[1] (numeric) = 6.0072687952607420642996875351103
absolute error = 1.84989501315440815315e-11
relative error = 3.0794277336474855321411475000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4113
Order of pole = 4.439
x[1] = -0.407
y[1] (analytic) = 6.0368246302444913975249019015998
y[1] (numeric) = 6.0368246302633106238360858309652
absolute error = 1.88192263111839293654e-11
relative error = 3.1174048384476178993785100000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4103
Order of pole = 4.439
x[1] = -0.406
y[1] (analytic) = 6.0665991251964061466782336489987
y[1] (numeric) = 6.0665991252155520019051749111611
absolute error = 1.91458552269412621624e-11
relative error = 3.1559453380433168310635288000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4093
Order of pole = 4.439
x[1] = -0.405
y[1] (analytic) = 6.0965944423445063587480033653201
y[1] (numeric) = 6.0965944423639853377370195020391
absolute error = 1.94789789890161367190e-11
relative error = 3.1950590076523608414706940000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4083
Order of pole = 4.439
x[1] = -0.404
y[1] (analytic) = 6.1268127707285393065673306089439
y[1] (numeric) = 6.1268127707483580498159363743052
absolute error = 1.98187432486057653613e-11
relative error = 3.2347558168076872049753021000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
memory used=259.4MB, alloc=4.6MB, time=39.37
Real estimate of pole used
Radius of convergence = 0.4073
Order of pole = 4.439
x[1] = -0.403
y[1] (analytic) = 6.1572563265808755618496398005049
y[1] (numeric) = 6.1572563266010408591448413658249
absolute error = 2.01652972952015653200e-11
relative error = 3.2750459337136862236212000000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4063
Order of pole = 4.439
x[1] = -0.402
y[1] (analytic) = 6.1879273537328671761393521240061
y[1] (numeric) = 6.1879273537533859702961621215637
absolute error = 2.05187941568099975576e-11
relative error = 3.3159397297112796552959480000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4053
Order of pole = 4.439
x[1] = -0.401
y[1] (analytic) = 6.2188281240283081056205768584968
y[1] (numeric) = 6.2188281240491874963237694739148
absolute error = 2.08793907031926154180e-11
relative error = 3.3574477838547789444452360000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4043
Order of pole = 4.439
x[1] = -0.4
y[1] (analytic) = 6.2499609377441390991306304335598
y[1] (numeric) = 6.2499609377653863468828545391264
absolute error = 2.12472477522241055666e-11
relative error = 3.3995808876036091147615666000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4032
Order of pole = 4.439
x[1] = -0.399
y[1] (analytic) = 6.2813281240185424806221027374028
y[1] (numeric) = 6.2813281240401650108015733304272
absolute error = 2.16225301794705930244e-11
relative error = 3.4423500496320773506705288000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4022
Order of pole = 4.439
x[1] = -0.398
y[1] (analytic) = 6.3129320412865755500142040970929
y[1] (numeric) = 6.3129320413085809570452982009247
absolute error = 2.20054070310941038318e-11
relative error = 3.4857665007604615174762790000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4012
Order of pole = 4.439
x[1] = -0.397
y[1] (analytic) = 6.3447750777234947021128101008819
y[1] (numeric) = 6.3447750777458907537530029392556
absolute error = 2.23960516401928383737e-11
relative error = 3.5298416990107932560788570000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.4002
Order of pole = 4.439
x[1] = -0.396
y[1] (analytic) = 6.3768596516959258243685314729908
y[1] (numeric) = 6.3768596517187204661152222842499
absolute error = 2.27946417466908112591e-11
relative error = 3.5745873347908129492182847000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3992
Order of pole = 4.439
x[1] = -0.395
y[1] (analytic) = 6.4091882122210400830630792303847
y[1] (numeric) = 6.4091882122442414426839736961135
absolute error = 2.32013596208944657288e-11
relative error = 3.6200153362096799098017488000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3982
Order of pole = 4.439
x[1] = -0.394
y[1] (analytic) = 6.4417632394338978465185490572479
y[1] (numeric) = 6.4417632394575142387093871352062
absolute error = 2.36163921908380779583e-11
relative error = 3.6661378745291307080126171000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3972
Order of pole = 4.439
x[1] = -0.393
y[1] (analytic) = 6.47458724506312722563936549045
y[1] (numeric) = 6.4745872450871671568129096261479
absolute error = 2.40399311735441356979e-11
relative error = 3.7129673697538917585406550000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3962
Order of pole = 4.439
x[1] = -0.392
y[1] (analytic) = 6.5076627729151075391273224221521
y[1] (numeric) = 6.5076627729395797123376518352492
absolute error = 2.44721732103294130971e-11
relative error = 3.7605164963652692635658715000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3952
Order of pole = 4.439
x[1] = -0.391
y[1] (analytic) = 6.5409923993668319357412906686202
y[1] (numeric) = 6.5409923993917452557475828448401
absolute error = 2.49133200062921762199e-11
relative error = 3.8087981892019604848507518000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3942
Order of pole = 4.439
x[1] = -0.39
y[1] (analytic) = 6.5745787338676274317723091892887
y[1] (numeric) = 6.5745787338929910102464300382152
absolute error = 2.53635784741208489265e-11
relative error = 3.8578256494922552425695765000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3932
Order of pole = 4.439
x[1] = -0.389
y[1] (analytic) = 6.6084244194499147513249890960997
y[1] (numeric) = 6.6084244194757379122073586501186
absolute error = 2.58231608823695540189e-11
relative error = 3.9076123510419256532479858000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3922
Order of pole = 4.439
x[1] = -0.388
y[1] (analytic) = 6.6425321332491945929788435351556
y[1] (numeric) = 6.6425321332754868779871947628758
absolute error = 2.62922850083512277202e-11
relative error = 3.9581720465822355771375090000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3912
Order of pole = 4.439
x[1] = -0.387
y[1] (analytic) = 6.6769045870334512919810375909728
y[1] (numeric) = 6.6769045870602224662768420859001
absolute error = 2.67711742958044949273e-11
relative error = 4.0095187742826392052617210000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3901
Order of pole = 4.439
x[1] = -0.386
y[1] (analytic) = 6.7115445277421693054222568239629
y[1] (numeric) = 6.7115445277694293634397530207974
absolute error = 2.72600580174961968345e-11
relative error = 4.0616668644328808397499965000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3891
Order of pole = 4.439
x[1] = -0.385
y[1] (analytic) = 6.7464547380351625220946392670652
y[1] (numeric) = 6.7464547380629216935375666575444
absolute error = 2.77591714429273904792e-11
relative error = 4.1146309462993553811698992000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3881
Order of pole = 4.439
x[1] = -0.384
y[1] (analytic) = 6.7816380368514210922506222152899
y[1] (numeric) = 6.7816380368796898482619390161697
absolute error = 2.82687560113168008798e-11
relative error = 4.1684259551607415073326686000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3871
Order of pole = 4.439
x[1] = -0.383
y[1] (analytic) = 6.8170972799781852887040698070761
y[1] (numeric) = 6.817097280006974348214111917624
absolute error = 2.87890595100421105479e-11
relative error = 4.2230671395280771962714510000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3861
Order of pole = 4.439
x[1] = -0.382
y[1] (analytic) = 6.8528353606304608531780023984924
y[1] (numeric) = 6.8528353606597811894367285269884
absolute error = 2.93203362587261284960e-11
relative error = 4.2785700685546103007788000000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3851
Order of pole = 4.439
x[1] = -0.381
y[1] (analytic) = 6.8888552100411953541560463482179
y[1] (numeric) = 6.8888552100710582014552081503649
absolute error = 2.98628472991618021470e-11
relative error = 4.3349506396409255232628140000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3841
Order of pole = 4.439
x[1] = -0.38
y[1] (analytic) = 6.9251597980623402885021571872771
y[1] (numeric) = 6.9251597980927571490934344192424
absolute error = 3.04168605912772319653e-11
relative error = 4.3922250862410235730212853000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
memory used=263.2MB, alloc=4.6MB, time=39.95
Real estimate of pole used
Radius of convergence = 0.3831
Order of pole = 4.439
x[1] = -0.379
y[1] (analytic) = 6.9617521337770290026593893151028
y[1] (numeric) = 6.9617521338080116538747386469841
absolute error = 3.09826512153493318813e-11
relative error = 4.4504099858752087300936946000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3821
Order of pole = 4.439
x[1] = -0.378
y[1] (analytic) = 6.9986352661231059943311054344403
y[1] (numeric) = 6.9986352661546664959117879953242
absolute error = 3.15605015806825608839e-11
relative error = 4.5095222683558277118960515000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3811
Order of pole = 4.439
x[1] = -0.377
y[1] (analytic) = 7.0358122845282487863223809188771
y[1] (numeric) = 7.0358122845603994879633581641782
absolute error = 3.21507016409772453011e-11
relative error = 4.5695792242320958746453430000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3801
Order of pole = 4.439
x[1] = -0.376
y[1] (analytic) = 7.0732863195569293449429539458328
y[1] (numeric) = 7.073286319589682894059574376472
absolute error = 3.27535491166204306392e-11
relative error = 4.6305985134604466224781784000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3791
Order of pole = 4.439
x[1] = -0.375
y[1] (analytic) = 7.1110605435694679504501301324079
y[1] (numeric) = 7.111060543602837300174271092786
absolute error = 3.33693497241409603781e-11
relative error = 4.6925981743070466941306906000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3781
Order of pole = 4.439
x[1] = -0.374
y[1] (analytic) = 7.1491381713934385209862951021254
y[1] (numeric) = 7.149138171427436938399374693566
absolute error = 3.39984174130795914406e-11
relative error = 4.7555966324893340119368062000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.377
Order of pole = 4.439
x[1] = -0.373
y[1] (analytic) = 7.1875224610076906490332782289945
y[1] (numeric) = 7.1875224610423317236438126664473
absolute error = 3.46410746105344374528e-11
relative error = 4.8196127105636562828080640000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.376
Order of pole = 4.439
x[1] = -0.372
y[1] (analytic) = 7.2262167142392600354084618997724
y[1] (numeric) = 7.2262167142745576878821137971463
absolute error = 3.52976524736518973739e-11
relative error = 4.8846656375663178180871515000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.375
Order of pole = 4.439
x[1] = -0.371
y[1] (analytic) = 7.2652242774734456052658345563128
y[1] (numeric) = 7.2652242775094140964161780516442
absolute error = 3.59684911503434953314e-11
relative error = 4.9507750589155793844045588000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.374
Order of pole = 4.439
x[1] = -0.37
y[1] (analytic) = 7.3045485423773383686021285454452
y[1] (numeric) = 7.3045485424139923086506482904914
absolute error = 3.66539400485197450462e-11
relative error = 5.0179610465824016165698262000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.373
Order of pole = 4.439
x[1] = -0.369
y[1] (analytic) = 7.3441929466370940497348746346264
y[1] (numeric) = 7.3441929466744484078490179120113
absolute error = 3.73543581141432773849e-11
relative error = 5.0862441095379769352827538000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.372
Order of pole = 4.439
x[1] = -0.368
y[1] (analytic) = 7.3841609747092486616208233339487
y[1] (numeric) = 7.3841609747473187757392383854498
absolute error = 3.80701141184150515011e-11
relative error = 5.1556452044863583495364675000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.371
Order of pole = 4.439
x[1] = -0.367
y[1] (analytic) = 7.4244561585863835474051525725741
y[1] (numeric) = 7.4244561586251851343595721013519
absolute error = 3.88015869544195287778e-11
relative error = 5.2261857468907663310818820000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.37
Order of pole = 4.439
x[1] = -0.366
y[1] (analytic) = 7.4650820785774539591062803735527
y[1] (numeric) = 7.4650820786170031250498476189154
absolute error = 3.95491659435672453627e-11
relative error = 5.2978876223024374870512039000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.369
Order of pole = 4.439
x[1] = -0.365
y[1] (analytic) = 7.5060423641031029979133202227793
y[1] (numeric) = 7.5060423641434162490655065182515
absolute error = 4.03132511521862954722e-11
relative error = 5.3707731980011714005793172000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.368
Order of pole = 4.439
x[1] = -0.364
y[1] (analytic) = 7.5473406945062907084688709933055
y[1] (numeric) = 7.5473406945473849621874988501583
absolute error = 4.10942537186278568528e-11
relative error = 5.4448653349570351494254416000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.367
Order of pole = 4.439
x[1] = -0.363
y[1] (analytic) = 7.5889807998785763072019427790848
y[1] (numeric) = 7.5889807999204689033932078550086
absolute error = 4.18925961912650759238e-11
relative error = 5.5201874001229990544791260000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.366
Order of pole = 4.439
x[1] = -0.362
y[1] (analytic) = 7.6309664619023999389522683047808
y[1] (numeric) = 7.6309664619451086518300477132161
absolute error = 4.27087128777794084353e-11
relative error = 5.5967632790686025784038885000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3649
Order of pole = 4.439
x[1] = -0.361
y[1] (analytic) = 7.6733015147097190036985313300901
y[1] (numeric) = 7.6733015147532620539046752384825
absolute error = 4.35430502061439083924e-11
relative error = 5.6746173889650864295143528000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3639
Order of pole = 4.439
x[1] = -0.36
y[1] (analytic) = 7.7159898457573629833103139636268
y[1] (numeric) = 7.7159898458017590504080429648496
absolute error = 4.43960670977290012228e-11
relative error = 5.7537746919327762874761028000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3629
Order of pole = 4.439
x[1] = -0.359
y[1] (analytic) = 7.7590353967194798342670039260719
y[1] (numeric) = 7.7590353967647480696199769217896
absolute error = 4.52682353529729957177e-11
relative error = 5.8342607087618656340886114000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3619
Order of pole = 4.439
x[1] = -0.358
y[1] (analytic) = 7.8024421643974564038544064292123
y[1] (numeric) = 7.8024421644436164439044834427788
absolute error = 4.61600400500770135665e-11
relative error = 5.9161015330181204437504725000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3609
Order of pole = 4.439
x[1] = -0.357
y[1] (analytic) = 7.8462142016477049823460180462927
y[1] (numeric) = 7.8462142016947769623032202234852
absolute error = 4.70719799572021771925e-11
relative error = 5.9993238455454174831841250000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3599
Order of pole = 4.439
memory used=267.0MB, alloc=4.6MB, time=40.54
x[1] = -0.356
y[1] (analytic) = 7.8903556183277180302516234406685
y[1] (numeric) = 7.8903556183757225982102892701621
absolute error = 4.80045679586658294936e-11
relative error = 6.0839549293774312325303832000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3589
Order of pole = 4.439
x[1] = -0.355
y[1] (analytic) = 7.9348705822608033262977480837288
y[1] (numeric) = 7.9348705823097616577934013817184
absolute error = 4.89583314956532979896e-11
relative error = 6.1700226850712025324373296000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3579
Order of pole = 4.439
x[1] = -0.354
y[1] (analytic) = 7.979763320219922277105261057957
y[1] (numeric) = 7.9797633202698560901272433554619
absolute error = 4.99338130219822975049e-11
relative error = 6.2575556464757555764215533000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3569
Order of pole = 4.439
x[1] = -0.353
y[1] (analytic) = 8.0250381189310649225583821523152
y[1] (numeric) = 8.0250381189819964930338606806514
absolute error = 5.09315704754785283362e-11
relative error = 6.3465829969493794159738820000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3559
Order of pole = 4.439
x[1] = -0.352
y[1] (analytic) = 8.0706993260966062709333763770631
y[1] (numeric) = 8.0706993261485584486989197883087
absolute error = 5.19521777655434112456e-11
relative error = 6.4371345860396563703860680000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3549
Order of pole = 4.439
x[1] = -0.351
y[1] (analytic) = 8.1167513514391000146101524325904
y[1] (numeric) = 8.1167513514920962398876706814852
absolute error = 5.29962252775182488948e-11
relative error = 6.5292409466408033003371496000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3539
Order of pole = 4.439
x[1] = -0.35
y[1] (analytic) = 8.1631986677659774205924849593065
y[1] (numeric) = 8.1631986678200417409869584192154
absolute error = 5.40643203944734599089e-11
relative error = 6.6229333126433933123001589000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3529
Order of pole = 4.439
x[1] = -0.349
y[1] (analytic) = 8.2100458120556312704224889574884
y[1] (numeric) = 8.2100458121107883584595659006864
absolute error = 5.51570880370769431980e-11
relative error = 6.7182436370920458354027960000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3518
Order of pole = 4.439
x[1] = -0.348
y[1] (analytic) = 8.2572973865653771520581313736014
y[1] (numeric) = 8.2572973866216523232803535189491
absolute error = 5.62751712222221453477e-11
relative error = 6.8152046108672129123332085000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3508
Order of pole = 4.439
x[1] = -0.347
y[1] (analytic) = 8.3049580599617971929241757329125
y[1] (numeric) = 8.3049580600192164245652998070166
absolute error = 5.74192316411240741041e-11
relative error = 6.9138496819077497628746810000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3498
Order of pole = 4.439
x[1] = -0.346
y[1] (analytic) = 8.3530325684739844800654877753368
y[1] (numeric) = 8.3530325685325744303231081553783
absolute error = 5.85899502576203800415e-11
relative error = 7.0142130749915390374282555000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3488
Order of pole = 4.439
x[1] = -0.345
y[1] (analytic) = 8.4015257170702199519432728983583
y[1] (numeric) = 8.4015257171300079798707176712758
absolute error = 5.97880279274447729175e-11
relative error = 7.1163298120920415412783550000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3478
Order of pole = 4.439
x[1] = -0.344
y[1] (analytic) = 8.4504423806586274791485334257248
y[1] (numeric) = 8.450442380719641665187804934019
absolute error = 6.10141860392715082942e-11
relative error = 7.2202357333292724770107454000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3468
Order of pole = 4.439
x[1] = -0.343
y[1] (analytic) = 8.4997875053123671908202294942626
y[1] (numeric) = 8.499787505374636357998592030278
absolute error = 6.22691671783625360154e-11
relative error = 7.3259675185343523622118100000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3458
Order of pole = 4.439
x[1] = -0.342
y[1] (analytic) = 8.5495661095199418629504552643953
y[1] (numeric) = 8.5495661095834955987641384748603
absolute error = 6.35537358136832104650e-11
relative error = 7.4335627094474567120387250000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3448
Order of pole = 4.439
x[1] = -0.341
y[1] (analytic) = 8.5997832854612063775992844980306
y[1] (numeric) = 8.5997832855260750566086727899046
absolute error = 6.48686790093882918740e-11
relative error = 7.5430597325696893556924680000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3438
Order of pole = 4.439
x[1] = -0.34
y[1] (analytic) = 8.6504442003096859023710867553049
y[1] (numeric) = 8.6504442003759007095327041457348
absolute error = 6.62148071616173904299e-11
relative error = 7.6544979226901319510868699000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3428
Order of pole = 4.439
x[1] = -0.339
y[1] (analytic) = 8.7015540975618245418631767633699
y[1] (numeric) = 8.7015540976294174966247548597311
absolute error = 6.75929547615780963612e-11
relative error = 7.7679175471100779900218264000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3418
Order of pole = 4.439
x[1] = -0.338
y[1] (analytic) = 8.7531182983938027922447371876231
y[1] (numeric) = 8.7531182984628067734306730667645
absolute error = 6.90039811859358791414e-11
relative error = 7.8833598305872445125092430000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3408
Order of pole = 4.439
x[1] = -0.337
y[1] (analytic) = 8.8051422030465792022541164039799
y[1] (numeric) = 8.8051422031170279737696889151505
absolute error = 7.04487715155725111706e-11
relative error = 8.0008669810235700936450420000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3398
Order of pole = 4.439
x[1] = -0.336
y[1] (analytic) = 8.8576312922398292248686856160925
y[1] (numeric) = 8.857631292311757462252504979766
absolute error = 7.19282373838193636735e-11
relative error = 8.1204822159210547006471295000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3387
Order of pole = 4.439
x[1] = -0.335
y[1] (analytic) = 8.9105911286154723504357279061893
y[1] (numeric) = 8.9105911286889156682910464337503
absolute error = 7.34433178553185275610e-11
relative error = 8.2422497896309770740607860000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3377
Order of pole = 4.439
x[1] = -0.334
y[1] (analytic) = 8.9640273582114972614896420663876
y[1] (numeric) = 8.9640273582864922418263554931957
absolute error = 7.49949803367134268081e-11
relative error = 8.3662150214227397544312117000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3367
Order of pole = 4.439
x[1] = -0.333
y[1] (analytic) = 9.017945711966813959779962124628
y[1] (numeric) = 9.0179457120433981813003836433241
absolute error = 7.65842215204215186961e-11
relative error = 8.4924243243995422082105290000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
memory used=270.8MB, alloc=4.6MB, time=41.14
Real estimate of pole used
Radius of convergence = 0.3357
Order of pole = 4.439
x[1] = -0.332
y[1] (analytic) = 9.072352007257881605806305284645
y[1] (numeric) = 9.0723520073360936741691002061581
absolute error = 7.82120683627949215131e-11
relative error = 8.6209252352890702237814475000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3347
Order of pole = 4.439
x[1] = -0.331
y[1] (analytic) = 9.1272521494678811996860225260583
y[1] (numeric) = 9.1272521495477607787840530150789
absolute error = 7.98795790980304890206e-11
relative error = 8.7517664451384164380749772000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3337
Order of pole = 4.439
x[1] = -0.33
y[1] (analytic) = 9.1826521335892232394560196876062
y[1] (numeric) = 9.1826521336708110837452687686824
absolute error = 8.15878442892490810762e-11
relative error = 8.8849978309435141782792562000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3327
Order of pole = 4.439
x[1] = -0.329
y[1] (analytic) = 9.2385580458602021396500434212228
y[1] (numeric) = 9.2385580459435401275682681075555
absolute error = 8.33379879182246863327e-11
relative error = 9.0206704882444764980241134000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3317
Order of pole = 4.44
x[1] = -0.328
y[1] (analytic) = 9.2949760654366315006738857647442
y[1] (numeric) = 9.2949760655217626691891935322852
absolute error = 8.51311685153077675410e-11
relative error = 9.1588367647193861708984850000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3307
Order of pole = 4.44
x[1] = -0.327
y[1] (analytic) = 9.3519124660993173103899747498363
y[1] (numeric) = 9.351912466186285890721128611019
absolute error = 8.69685803311538611827e-11
relative error = 9.2995502948102823762661110000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3297
Order of pole = 4.44
x[1] = -0.326
y[1] (analytic) = 9.4093736179982498565070523255267
y[1] (numeric) = 9.4093736180871013110589905422801
absolute error = 8.88514545519382167534e-11
relative error = 9.4428660354163378619010918000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3287
Order of pole = 4.44
x[1] = -0.325
y[1] (analytic) = 9.467365989434419555791187775737
y[1] (numeric) = 9.4673659895252006163509980362475
absolute error = 9.07810605598102605105e-11
relative error = 9.5888403026905185766820730000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3277
Order of pole = 4.44
x[1] = -0.324
y[1] (analytic) = 9.5258961486801870886003600788744
y[1] (numeric) = 9.5258961487729457958407781543558
absolute error = 9.27587072404180754814e-11
relative error = 9.7375308099773683098109278000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3267
Order of pole = 4.44
x[1] = -0.323
y[1] (analytic) = 9.5849707658391641905492188248826
y[1] (numeric) = 9.5849707659339499348886318991014
absolute error = 9.47857443394130742188e-11
relative error = 9.8889967069309660332474040000000e-10 %
Correct digits = 11
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3256
Order of pole = 4.44
x[1] = -0.322
y[1] (analytic) = 9.6445966147465882239475333944158
y[1] (numeric) = 9.644596614843451787817462176821
absolute error = 9.68635638699287824052e-11
relative error = 1.0043298619853565803683162000000e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3246
Order of pole = 4.44
x[1] = -0.321
y[1] (analytic) = 9.7047805749112012577395625084917
y[1] (numeric) = 9.7047805750101948593126778472881
absolute error = 9.89936015731153387964e-11
relative error = 1.0200498693296950740258648800000e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3236
Order of pole = 4.44
x[1] = -0.32
y[1] (analytic) = 9.7655296334996728547572777609594
y[1] (numeric) = 9.7655296336008501931911809100302
absolute error = 1.011773384339031490708e-10
relative error = 1.0360660632970116367998990800000e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3226
Order of pole = 4.44
x[1] = -0.319
y[1] (analytic) = 9.8268508873646351290265521510977
y[1] (numeric) = 9.8268508874680514312808174686492
absolute error = 1.034163022542653175515e-10
relative error = 1.0523849749998547244675743000000e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3216
Order of pole = 4.44
x[1] = -0.318
y[1] (analytic) = 9.8887515451174289245982694684796
y[1] (numeric) = 9.8887515452231409938846187108958
absolute error = 1.057120692863492424162e-10
relative error = 1.0690133006582067139338225000000e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3206
Order of pole = 4.44
x[1] = -0.317
y[1] (analytic) = 9.9512389292466912130560254751717
y[1] (numeric) = 9.9512389293547574789839788049469
absolute error = 1.080662659279533297752e-10
relative error = 1.0859579063100030109109848000000e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3196
Order of pole = 4.44
x[1] = -0.316
y[1] (analytic) = 10.014320478283946042841263006099
y[1] (numeric) = 10.014320478394426613324198411493
absolute error = 1.10480570482935405394e-10
relative error = 1.1032258326714480776428658000000e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3186
Order of pole = 4.44
x[1] = -0.315
y[1] (analytic) = 10.078003749017394634470804023139
y[1] (numeric) = 10.078003749130351349460059361863
absolute error = 1.12956714989255338724e-10
relative error = 1.1208243001523850240227624000000e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3176
Order of pole = 4.44
x[1] = -0.314
y[1] (analytic) = 10.14229641875513453756199478686
y[1] (numeric) = 10.142296418870631024679470702158
absolute error = 1.15496487117475915298e-10
relative error = 1.1387607140321772820636906000000e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3166
Order of pole = 4.44
x[1] = -0.313
y[1] (analytic) = 10.207206287639073185669082372155
y[1] (numeric) = 10.207206287757174917811755760544
absolute error = 1.18101732142673388389e-10
relative error = 1.1570426698017711860470330000000e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3156
Order of pole = 4.44
x[1] = -0.312
y[1] (analytic) = 10.272741281010837742051466433818
y[1] (numeric) = 10.272741281131612097044309146733
absolute error = 1.20774354992842712915e-10
relative error = 1.1756779586778273888710675000000e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3146
Order of pole = 4.44
x[1] = -0.311
y[1] (analytic) = 10.338909451831020863919273795
y[1] (numeric) = 10.338909451954537186296296329423
absolute error = 1.23516322377022534423e-10
relative error = 1.1946745732950373574461406000000e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3136
Order of pole = 4.44
x[1] = -0.31
y[1] (analytic) = 10.405718983153140966275064775601
y[1] (numeric) = 10.405718983279470631271576687455
absolute error = 1.26329664996511911854e-10
relative error = 1.2140407135829791241081254000000e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3125
Order of pole = 4.44
x[1] = -0.309
y[1] (analytic) = 10.473178190653735782660606187554
y[1] (numeric) = 10.473178190782952262503311039291
absolute error = 1.29216479842704851737e-10
relative error = 1.2337847928341144653552234000000e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
memory used=274.6MB, alloc=4.6MB, time=41.74
Real estimate of pole used
Radius of convergence = 0.3115
Order of pole = 4.44
x[1] = -0.308
y[1] (analytic) = 10.541295525220049544088968534233
y[1] (numeric) = 10.541295525352228476674198934541
absolute error = 1.32178932585230400308e-10
relative error = 1.2539154439697881925218420000000e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3105
Order of pole = 4.44
x[1] = -0.307
y[1] (analytic) = 10.610079575596816976127320954907
y[1] (numeric) = 10.610079575732036236181576631798
absolute error = 1.35219260054255676891e-10
relative error = 1.2744415260113597546976750000000e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3095
Order of pole = 4.44
x[1] = -0.306
y[1] (analytic) = 10.679539071093691596270704956374
y[1] (numeric) = 10.6795390712320313690916922132
absolute error = 1.38339772820987256826e-10
relative error = 1.2953721307638783767416162000000e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3085
Order of pole = 4.44
x[1] = -0.305
y[1] (analytic) = 10.749682884354911530109861759078
y[1] (numeric) = 10.749682884496454387990454928353
absolute error = 1.41542857880593169275e-10
relative error = 1.3167165897200060164976150000000e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3075
Order of pole = 4.44
x[1] = -0.304
y[1] (analytic) = 10.820520034192843308049384853436
y[1] (numeric) = 10.820520034337674289491348786683
absolute error = 1.44830981441963933247e-10
relative error = 1.3384844811921980818887999000000e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3065
Order of pole = 4.44
x[1] = -0.303
y[1] (analytic) = 10.892059688487092909269142794903
y[1] (numeric) = 10.892059688635299601098079804603
absolute error = 1.48206691828937009700e-10
relative error = 1.3606856376814706860556999999999e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3055
Order of pole = 4.44
x[1] = -0.302
y[1] (analytic) = 10.964311167150923743215832465325
y[1] (numeric) = 10.964311167302596365713657787418
absolute error = 1.51672622497825322093e-10
relative error = 1.3833301534914158501492065000000e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3045
Order of pole = 4.44
x[1] = -0.301
y[1] (analytic) = 11.037283945166773360411469945476
y[1] (numeric) = 11.037283945322004855587787591315
absolute error = 1.55231495176317645839e-10
relative error = 1.4064283925964731348305078000000e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3035
Order of pole = 4.44
x[1] = -0.3
y[1] (analytic) = 11.110987655692714525394162287086
y[1] (numeric) = 11.11098765585160064852321956085
absolute error = 1.58886123129057273764e-10
relative error = 1.4299909967738283696033764000000e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3025
Order of pole = 4.44
x[1] = -0.299
y[1] (analytic) = 11.185432093241761929263327442339
y[1] (numeric) = 11.185432093404401343818783490861
absolute error = 1.62639414555456048522e-10
relative error = 1.4540288940086881649963844000000e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3015
Order of pole = 4.44
x[1] = -0.298
y[1] (analytic) = 11.260627216935983334271718934745
y[1] (numeric) = 11.260627217102477710397283203069
absolute error = 1.66494376125564268324e-10
relative error = 1.4785533071830734848512820000000e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.3004
Order of pole = 4.44
x[1] = -0.297
y[1] (analytic) = 11.336583153837433397573971205079
y[1] (numeric) = 11.336583154007887514234065016261
absolute error = 1.70454116660093811182e-10
relative error = 1.5035757630586875084364220000000e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.2994
Order of pole = 4.44
x[1] = -0.296
y[1] (analytic) = 11.413310202357989887807160710821
y[1] (numeric) = 11.413310202532511738768143528243
absolute error = 1.74521850960982817422e-10
relative error = 1.5291081015648431514063374000000e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.2984
Order of pole = 4.44
x[1] = -0.295
y[1] (analytic) = 11.490818835750235561786132879829
y[1] (numeric) = 11.490818835928936465585329074973
absolute error = 1.78700903799196195144e-10
relative error = 1.5551624854028848078601744000000e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.2974
Order of pole = 4.44
x[1] = -0.294
y[1] (analytic) = 11.569119705681594687460231151012
y[1] (numeric) = 11.569119705864589401527009039488
absolute error = 1.82994714066777888476e-10
relative error = 1.5817514099790080346200012000000e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.2964
Order of pole = 4.44
x[1] = -0.293
y[1] (analytic) = 11.6482236458940011648223645894
y[1] (numeric) = 11.648223646081408003922873731299
absolute error = 1.87406839100509141899e-10
relative error = 1.6088877136778709832029150000000e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.2954
Order of pole = 4.44
x[1] = -0.292
y[1] (analytic) = 11.728141675951445493461561015657
y[1] (numeric) = 11.728141676143386452646443840062
absolute error = 1.91940959184882824405e-10
relative error = 1.6365845884899034022892325000000e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.2944
Order of pole = 4.44
x[1] = -0.291
y[1] (analytic) = 11.808885005077820552183462837439
y[1] (numeric) = 11.808885005274421434425941055445
absolute error = 1.96600882242478218006e-10
relative error = 1.6648555910057540457184092000000e-09 %
Correct digits = 10
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.005609
Order of pole = 1.208
memory used=278.4MB, alloc=4.6MB, time=42.31
x[1] = -0.28999043829452486075671778338938
y[1] (analytic) = 11.891249156058571741563843796518
y[1] (numeric) = 11.891249156255172626511767776902
absolute error = 1.96600884947923980384e-10
relative error = 1.6533240735920174985559176428107e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.01037
Order of pole = 1.209
memory used=282.2MB, alloc=4.6MB, time=42.84
x[1] = -0.28898087658904972151343556677876
y[1] (analytic) = 11.974478023710654407792726481468
y[1] (numeric) = 11.974478023907255295522497853818
absolute error = 1.96600887729771372350e-10
relative error = 1.6418326322072837828334924020379e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.01353
Order of pole = 1.21
memory used=286.1MB, alloc=4.6MB, time=43.38
x[1] = -0.28797131488357458227015335016814
y[1] (analytic) = 12.058583755018781468725610913196
y[1] (numeric) = 12.05858375521538235931606715516
absolute error = 1.96600890590456241964e-10
relative error = 1.6303812668600570035702045790538e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.01607
Order of pole = 1.211
memory used=289.9MB, alloc=4.6MB, time=43.91
x[1] = -0.28696175317809944302687113355752
y[1] (analytic) = 12.143578711009564152694285154545
y[1] (numeric) = 12.143578711206165046226786186651
absolute error = 1.96600893532501032106e-10
relative error = 1.6189699775590822647179992019378e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.01825
Order of pole = 1.212
x[1] = -0.2859521914726243037835889169469
y[1] (analytic) = 12.229475471293451685371576538964
y[1] (numeric) = 12.229475471490052581930094717791
absolute error = 1.96600896558518178827e-10
relative error = 1.6075987643133533797911636203660e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.02019
Order of pole = 1.213
memory used=293.7MB, alloc=4.6MB, time=44.43
x[1] = -0.28499871652856445005382237903687
y[1] (analytic) = 12.311439770111126662524207956892
y[1] (numeric) = 12.311439770307727562020172898492
absolute error = 1.96600899495964941600e-10
relative error = 1.5968960833749046093783203004661e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.02185
Order of pole = 1.214
memory used=297.5MB, alloc=4.6MB, time=44.95
x[1] = -0.28398915482308931081054016242625
y[1] (analytic) = 12.399126894296522606716125719607
y[1] (numeric) = 12.399126894493123509409221237833
absolute error = 1.96600902693095518226e-10
relative error = 1.5856027958188734662664555510139e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.02348
Order of pole = 1.215
memory used=301.3MB, alloc=4.6MB, time=45.49
x[1] = -0.28297959311761417156725794581563
y[1] (analytic) = 12.487754177170649532709238863791
y[1] (numeric) = 12.487754177367250438691686727583
absolute error = 1.96600905982447863792e-10
relative error = 1.5743495843460920137481943132434e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.02499
Order of pole = 1.216
memory used=305.1MB, alloc=4.6MB, time=46.03
x[1] = -0.28197003141213903232397572920501
y[1] (analytic) = 12.577335107053363574133525747268
y[1] (numeric) = 12.577335107249964483500551194079
absolute error = 1.96600909367025446811e-10
relative error = 1.5631364489666157491946321419190e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.02641
Order of pole = 1.217
memory used=309.0MB, alloc=4.6MB, time=46.56
x[1] = -0.28096046970666389308069351259439
y[1] (analytic) = 12.667883415027658401990785742998
y[1] (numeric) = 12.667883415224259314840726557466
absolute error = 1.96600912849940814468e-10
relative error = 1.5519633896907912630559167195397e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.02774
Order of pole = 1.218
x[1] = -0.27995090800118875383741129598377
y[1] (analytic) = 12.759413080201687188278925975395
y[1] (numeric) = 12.759413080398288104713345941495
absolute error = 1.96600916434419966100e-10
relative error = 1.5408304065292657534755852521092e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.02901
Order of pole = 1.22
memory used=312.8MB, alloc=4.6MB, time=47.10
x[1] = -0.27899743305712890010764475807374
y[1] (analytic) = 12.846771679064257792958002558627
y[1] (numeric) = 12.846771679260858712874032939423
absolute error = 1.96600919916030380796e-10
relative error = 1.5303527207261033623386517212123e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.03016
Order of pole = 1.221
memory used=316.6MB, alloc=4.6MB, time=47.64
x[1] = -0.27798787135165376086436254146312
y[1] (analytic) = 12.940250514903644033552745193868
y[1] (numeric) = 12.940250515100244957260423218376
absolute error = 1.96600923707678024508e-10
relative error = 1.5192976633740383074396347157831e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.03132
Order of pole = 1.222
memory used=320.4MB, alloc=4.6MB, time=48.18
x[1] = -0.2769783096461786216210803248525
y[1] (analytic) = 13.034753361240441253792149153208
y[1] (numeric) = 13.034753361437042181403240849011
absolute error = 1.96600927611091695803e-10
relative error = 1.5082826821694640426212655561251e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.03243
Order of pole = 1.223
memory used=324.2MB, alloc=4.6MB, time=48.71
x[1] = -0.27596874794070348237779810824188
y[1] (analytic) = 13.130295229453597029087635440215
y[1] (numeric) = 13.130295229650197960717626830531
absolute error = 1.96600931629991390316e-10
relative error = 1.4973077771243131788584249016217e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.03349
Order of pole = 1.224
x[1] = -0.27495918623522834313451589163126
y[1] (analytic) = 13.226891407004583354341547819372
y[1] (numeric) = 13.22689140720118429010978300493
absolute error = 1.96600935768235185558e-10
relative error = 1.4863729482508713531993145164960e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.03452
Order of pole = 1.225
memory used=328.0MB, alloc=4.6MB, time=49.24
x[1] = -0.27394962452975320389123367502064
y[1] (analytic) = 13.324557463552960114875374536617
y[1] (numeric) = 13.324557463749561054905199436455
absolute error = 1.96600940029824899838e-10
relative error = 1.4754781955617890220423632546271e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.03552
Order of pole = 1.226
memory used=331.8MB, alloc=4.6MB, time=49.77
x[1] = -0.27299614958569335016146713711061
y[1] (analytic) = 13.417794289302373862323588768475
y[1] (numeric) = 13.417794289498974806495245237244
absolute error = 1.96600944171656468769e-10
relative error = 1.4652255052710177215697341131051e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.03642
Order of pole = 1.227
memory used=335.7MB, alloc=4.6MB, time=50.31
x[1] = -0.27198658788021821091818492049999
y[1] (analytic) = 13.517586328165362106509222848796
y[1] (numeric) = 13.517586328361963055194332905438
absolute error = 1.96600948685110056642e-10
relative error = 1.4544086785336120681878871286925e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.03736
Order of pole = 1.229
memory used=339.5MB, alloc=4.6MB, time=50.84
x[1] = -0.27097702617474307167490270388937
y[1] (analytic) = 13.618495789589826882268319906642
y[1] (numeric) = 13.618495789786427835602905161229
absolute error = 1.96600953334585254587e-10
relative error = 1.4436319280200522401066866438188e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.03826
Order of pole = 1.23
memory used=343.3MB, alloc=4.6MB, time=51.37
x[1] = -0.26996746446926793243162048727875
y[1] (analytic) = 13.720539419119329878027253600026
y[1] (numeric) = 13.720539419315930836151964728428
absolute error = 1.96600958124711128402e-10
relative error = 1.4328952537445514571532336688904e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.03914
Order of pole = 1.231
x[1] = -0.26895790276379279318833827066813
y[1] (analytic) = 13.82373427715829505186575683824
y[1] (numeric) = 13.823734277354896014926049284017
absolute error = 1.96600963060292445777e-10
relative error = 1.4221986557217528876643290148879e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.03999
Order of pole = 1.232
memory used=347.1MB, alloc=4.6MB, time=51.91
x[1] = -0.26794834105831765394505605405751
y[1] (analytic) = 13.928097746103051961542290946712
y[1] (numeric) = 13.928097746299652929688607986745
absolute error = 1.96600968146317040033e-10
relative error = 1.4115421339667443354540007524796e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.04082
Order of pole = 1.233
memory used=350.9MB, alloc=4.6MB, time=52.44
x[1] = -0.26699486611425780021528951614748
y[1] (analytic) = 14.027752232328349760151119772104
y[1] (numeric) = 14.027752232524950733243707506399
absolute error = 1.96600973092587734295e-10
relative error = 1.4015144396370306877114544365199e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.04159
Order of pole = 1.235
memory used=354.7MB, alloc=4.6MB, time=52.97
x[1] = -0.26598530440878266097200729953686
y[1] (analytic) = 14.134439006209828147685448061101
y[1] (numeric) = 14.134439006406429126171592603858
absolute error = 1.96600978486144542757e-10
relative error = 1.3909358440032166625066767583233e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.04237
Order of pole = 1.236
memory used=358.5MB, alloc=4.6MB, time=53.51
x[1] = -0.26497574270330752172872508292624
y[1] (analytic) = 14.242347513309304707601038988001
y[1] (numeric) = 14.242347513505905691647008473494
absolute error = 1.96600984045969485493e-10
relative error = 1.3803973246843485554273071816957e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.04314
Order of pole = 1.237
x[1] = -0.26396618099783238248544286631562
y[1] (analytic) = 14.351496479378504007016548336254
y[1] (numeric) = 14.3514964795751049967943994073
absolute error = 1.96600989777851071046e-10
relative error = 1.3698988816974223840918546149282e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
memory used=362.4MB, alloc=4.6MB, time=54.04
Complex estimate of poles used
Radius of convergence = 0.0439
Order of pole = 1.238
x[1] = -0.262956619292357243242160649705
y[1] (analytic) = 14.461904990313696379237213935827
y[1] (numeric) = 14.461904990510297374925016524789
absolute error = 1.96600995687802588962e-10
relative error = 1.3594405150599601144826299477094e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.04463
Order of pole = 1.24
memory used=366.2MB, alloc=4.6MB, time=54.58
x[1] = -0.26194705758688210399887843309438
y[1] (analytic) = 14.573592500499553020173565224636
y[1] (numeric) = 14.5735925006961540219556369734
absolute error = 1.96601001782071748764e-10
relative error = 1.3490222247900280421402532889663e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.04535
Order of pole = 1.241
memory used=370.0MB, alloc=4.6MB, time=55.11
x[1] = -0.26099358264282225026911189518435
y[1] (analytic) = 14.680267406161921492072349071459
y[1] (numeric) = 14.680267406358522499785209414897
absolute error = 1.96601007712860343438e-10
relative error = 1.3392195269572452582191510891014e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.04601
Order of pole = 1.242
memory used=373.8MB, alloc=4.6MB, time=55.64
x[1] = -0.25998402093734711102582967857373
y[1] (analytic) = 14.794498977531037332983745082393
y[1] (numeric) = 14.794498977727638347168084726688
absolute error = 1.96601014184339644295e-10
relative error = 1.3288791630113666391932707646259e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.0467
Order of pole = 1.243
memory used=377.6MB, alloc=4.6MB, time=56.17
x[1] = -0.25897445923187197178254746196311
y[1] (analytic) = 14.91006905347235341197282314175
y[1] (numeric) = 14.910069053668954432832815883682
absolute error = 1.96601020859992741932e-10
relative error = 1.3185788754895606828821852856277e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.04737
Order of pole = 1.245
x[1] = -0.25796489752639683253926524535249
y[1] (analytic) = 15.026998627694318165545184377904
y[1] (numeric) = 15.026998627890919193292279457511
absolute error = 1.96601027747095079607e-10
relative error = 1.3083186644122342971767127041793e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.04803
Order of pole = 1.246
memory used=381.4MB, alloc=4.6MB, time=56.70
x[1] = -0.25695533582092169329598302874187
y[1] (analytic) = 15.14530910711648080102056927495
y[1] (numeric) = 15.145309107313081835873780572425
absolute error = 1.96601034853211297475e-10
relative error = 1.2980985298004407504857154808586e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.04867
Order of pole = 1.247
memory used=385.2MB, alloc=4.6MB, time=57.24
x[1] = -0.25594577411544655405270081213125
y[1] (analytic) = 15.265022321667690055448234288344
y[1] (numeric) = 15.265022321864291097634442216286
absolute error = 1.96601042186207927942e-10
relative error = 1.2879184716759027946680400600023e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.0493
Order of pole = 1.249
memory used=389.1MB, alloc=4.6MB, time=57.77
x[1] = -0.25499229917138670032293427422122
y[1] (analytic) = 15.379392865360966956155565068461
y[1] (numeric) = 15.379392865557568005483074103436
absolute error = 1.96601049327509034975e-10
relative error = 1.2783407709826693942426203526501e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.04989
Order of pole = 1.25
memory used=392.9MB, alloc=4.6MB, time=58.30
x[1] = -0.2539827374659115610796520576106
y[1] (analytic) = 15.501897751228368590328917127014
y[1] (numeric) = 15.501897751424969647454297063359
absolute error = 1.96601057125379936345e-10
relative error = 1.2682386394259457120201742555463e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.0505
Order of pole = 1.251
memory used=396.7MB, alloc=4.6MB, time=58.83
x[1] = -0.25297317576043642183636984099998
y[1] (analytic) = 15.625872203391433463831036331516
y[1] (numeric) = 15.625872203588034529006213634364
absolute error = 1.96601065175177302848e-10
relative error = 1.2581765844245614726692764816910e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.05109
Order of pole = 1.253
x[1] = -0.25196361405496128259308762438936
y[1] (analytic) = 15.75133982124666683906213502499
y[1] (numeric) = 15.751339821443267912548229546861
absolute error = 1.96601073486094521871e-10
relative error = 1.2481546060031240713701547689792e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.05168
Order of pole = 1.254
memory used=400.5MB, alloc=4.6MB, time=59.38
x[1] = -0.25095405234948614334980540777874
y[1] (analytic) = 15.878324679817895884319151390811
y[1] (numeric) = 15.878324680014496966386850648823
absolute error = 1.96601082067699258012e-10
relative error = 1.2381727041870390917435343507445e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.05226
Order of pole = 1.256
memory used=404.3MB, alloc=4.6MB, time=59.90
x[1] = -0.24994449064401100410652319116812
y[1] (analytic) = 16.006851341305821406676132304619
y[1] (numeric) = 16.006851341502422497606082587128
absolute error = 1.96601090929950282509e-10
relative error = 1.2282308790025395510893675452228e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.05282
Order of pole = 1.257
memory used=408.1MB, alloc=4.6MB, time=60.43
x[1] = -0.24899101569995115037675665325809
y[1] (analytic) = 16.129675910364005594182466688634
y[1] (numeric) = 16.129675910560606693749350898215
absolute error = 1.96601099566884209581e-10
relative error = 1.2188781762227448550965955780352e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.05334
Order of pole = 1.258
memory used=412.0MB, alloc=4.6MB, time=60.96
x[1] = -0.24798145399447601113347443664747
y[1] (analytic) = 16.26127272428478553084818761222
y[1] (numeric) = 16.261272724481386639853087476281
absolute error = 1.96601109004899864061e-10
relative error = 1.2090142779002367977974725001545e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.05389
Order of pole = 1.26
x[1] = -0.24697189228900087189019222003685
y[1] (analytic) = 16.394486607514605153710082843598
y[1] (numeric) = 16.3944866077112062724654120058
absolute error = 1.96601118755329162202e-10
relative error = 1.1991904562916580405189852452338e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
memory used=415.8MB, alloc=4.6MB, time=61.49
Complex estimate of poles used
Radius of convergence = 0.05442
Order of pole = 1.261
x[1] = -0.24596233058352573264691000342623
y[1] (analytic) = 16.529344163024881604143058518919
y[1] (numeric) = 16.529344163221482732972912868222
absolute error = 1.96601128829854349303e-10
relative error = 1.1894067114268144350296314273505e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.05495
Order of pole = 1.263
memory used=419.6MB, alloc=4.6MB, time=62.02
x[1] = -0.24495276887805059340362778681561
y[1] (analytic) = 16.665872543110938669197613210122
y[1] (numeric) = 16.665872543307539808438258276905
absolute error = 1.96601139240645066783e-10
relative error = 1.1796630433365025183470612655725e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.05546
Order of pole = 1.264
memory used=423.4MB, alloc=4.6MB, time=62.56
x[1] = -0.24399929393399073967386124890558
y[1] (analytic) = 16.796375150817441784786236214447
y[1] (numeric) = 16.796375151014042934179477295601
absolute error = 1.96601149393241081154e-10
relative error = 1.1704974890589589241733408545012e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.05594
Order of pole = 1.266
memory used=427.2MB, alloc=4.6MB, time=63.10
x[1] = -0.24298973222851560043057903229496
y[1] (analytic) = 16.936232215622171655810356290805
y[1] (numeric) = 16.936232215818772816305015198931
absolute error = 1.96601160494658908126e-10
relative error = 1.1608317481222994793327778235639e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.05644
Order of pole = 1.267
memory used=431.0MB, alloc=4.6MB, time=63.64
x[1] = -0.24198017052304046118729681568434
y[1] (analytic) = 17.077843376086350759421904936867
y[1] (numeric) = 17.077843376282951931393130702086
absolute error = 1.96601171971225765219e-10
relative error = 1.1512060840569667607830252061889e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.05693
Order of pole = 1.269
x[1] = -0.24097060881756532194401459907372
y[1] (analytic) = 17.221238088441770408533535395177
y[1] (numeric) = 17.221238088638371592370799377053
absolute error = 1.96601183837263981876e-10
relative error = 1.1416204968980430040666826337845e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.05742
Order of pole = 1.27
memory used=434.8MB, alloc=4.6MB, time=64.17
x[1] = -0.2399610471120901827007323824631
y[1] (analytic) = 17.36644642983935842552082705954
y[1] (numeric) = 17.366446430035959621628533074652
absolute error = 1.96601196107706015112e-10
relative error = 1.1320749866818009595235916806661e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.05789
Order of pole = 1.272
memory used=438.7MB, alloc=4.6MB, time=64.70
x[1] = -0.23895148540661504345745016585248
y[1] (analytic) = 17.513499114121868659765860268863
y[1] (numeric) = 17.513499114318469868563983430646
absolute error = 1.96601208798123161783e-10
relative error = 1.1225695534457495351735343831119e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.05836
Order of pole = 1.274
memory used=442.5MB, alloc=4.6MB, time=65.24
x[1] = -0.23799801046255518972768362794245
y[1] (analytic) = 17.654103958275914059127098547071
y[1] (numeric) = 17.654103958472515280310868174977
absolute error = 1.96601221183769627906e-10
relative error = 1.1136289989478998678692745913753e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.05879
Order of pole = 1.275
memory used=446.3MB, alloc=4.6MB, time=65.77
x[1] = -0.23698844875708005048440141133183
y[1] (analytic) = 17.804833260362145098567939242169
y[1] (numeric) = 17.804833260558746333305865882902
absolute error = 1.96601234737926640733e-10
relative error = 1.1042014932855812048573617191673e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.05924
Order of pole = 1.277
x[1] = -0.23597888705160491124111919472121
y[1] (analytic) = 17.957501195595092188598338218785
y[1] (numeric) = 17.957501195791693437360251933711
absolute error = 1.96601248761913714926e-10
relative error = 1.0948140647215396827217984346120e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
memory used=450.1MB, alloc=4.6MB, time=66.30
Complex estimate of poles used
Radius of convergence = 0.05969
Order of pole = 1.278
x[1] = -0.23496932534612977199783697811059
y[1] (analytic) = 18.112141152323013364247511280926
y[1] (numeric) = 18.112141152519614627521643098583
absolute error = 1.96601263274131817657e-10
relative error = 1.0854667132986443231346740833932e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06012
Order of pole = 1.28
memory used=453.9MB, alloc=4.6MB, time=66.84
x[1] = -0.23395976364065463275455476149997
y[1] (analytic) = 18.268787240790565559965692179432
y[1] (numeric) = 18.268787240987166838259478334604
absolute error = 1.96601278293786155172e-10
relative error = 1.0761594390612565329567094208306e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06055
Order of pole = 1.282
memory used=457.7MB, alloc=4.6MB, time=67.37
x[1] = -0.23295020193517949351127254488935
y[1] (analytic) = 18.427474311949929486206863868821
y[1] (numeric) = 18.427474312146530780047788876106
absolute error = 1.96601293840925007285e-10
relative error = 1.0668922420552888068094146569210e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06098
Order of pole = 1.283
memory used=461.5MB, alloc=4.6MB, time=67.92
x[1] = -0.23199672699111963978150600697932
y[1] (analytic) = 18.57925156835413899577612043117
y[1] (numeric) = 18.579251568550740304803648622115
absolute error = 1.96601309027528190945e-10
relative error = 1.0581766886799536910504887553677e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06137
Order of pole = 1.285
memory used=465.4MB, alloc=4.6MB, time=68.47
x[1] = -0.2309871652856445005382237903687
y[1] (analytic) = 18.742009861832541547514313489496
y[1] (numeric) = 18.742009862029142873175401519993
absolute error = 1.96601325661088030497e-10
relative error = 1.0489874197615265804884794425572e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06178
Order of pole = 1.287
x[1] = -0.22997760358016936129494157375808
y[1] (analytic) = 18.90691624437907446004997263311
y[1] (numeric) = 18.906916244575675802936433444129
absolute error = 1.96601342886460811019e-10
relative error = 1.0398382282193128324834210215049e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06218
Order of pole = 1.289
memory used=469.2MB, alloc=4.6MB, time=69.01
x[1] = -0.22896804187469422205165935714746
y[1] (analytic) = 19.074008683452032943949039586426
y[1] (numeric) = 19.074008683648634304676479976986
absolute error = 1.96601360727440390560e-10
relative error = 1.0307291141059671677688883494740e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06258
Order of pole = 1.29
memory used=473.0MB, alloc=4.6MB, time=69.56
x[1] = -0.22795848016921908280837714053684
y[1] (analytic) = 19.243325989069167099520711289077
y[1] (numeric) = 19.243325989265768478729599593448
absolute error = 1.96601379208888304371e-10
relative error = 1.0216600774760260271577358508839e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06297
Order of pole = 1.292
memory used=476.8MB, alloc=4.6MB, time=70.11
x[1] = -0.22694891846374394356509492392622
y[1] (analytic) = 19.414907836344838484830216066564
y[1] (numeric) = 19.414907836541439883187002767774
absolute error = 1.96601398356786701210e-10
relative error = 1.0126311183859835625152153453399e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06335
Order of pole = 1.294
memory used=480.6MB, alloc=4.6MB, time=70.65
x[1] = -0.22599544351968408983532838601619
y[1] (analytic) = 19.579073227962243109394013847755
y[1] (numeric) = 19.579073228158844526471328397893
absolute error = 1.96601417077314550138e-10
relative error = 1.0041405677799617369800615589428e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06371
Order of pole = 1.296
memory used=484.4MB, alloc=4.6MB, time=71.18
x[1] = -0.22498588181420895059204616940557
y[1] (analytic) = 19.755175291710430189795259136915
y[1] (numeric) = 19.755175291907031627395206111989
absolute error = 1.96601437599946975074e-10
relative error = 9.9518953740918667788985985188966e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06408
Order of pole = 1.297
x[1] = -0.22397632010873381134876395279495
y[1] (analytic) = 19.933663967880597767957882862476
y[1] (numeric) = 19.933663968077199226830471762531
absolute error = 1.96601458872588900055e-10
relative error = 9.8627858475679978262666087609719e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06445
Order of pole = 1.299
memory used=488.2MB, alloc=4.6MB, time=71.72
x[1] = -0.22296675840325867210548173618433
y[1] (analytic) = 20.114582577702407524383350327789
y[1] (numeric) = 20.114582577899009005309567263893
absolute error = 1.96601480926216936104e-10
relative error = 9.7740770988782697424725641480607e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06481
Order of pole = 1.301
memory used=492.1MB, alloc=4.6MB, time=72.24
x[1] = -0.22195719669778353286219951957371
y[1] (analytic) = 20.297975429824002120774010751327
y[1] (numeric) = 20.297975430020603624567246512255
absolute error = 1.96601503793235760928e-10
relative error = 9.6857691286968138651118269169435e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06516
Order of pole = 1.303
memory used=495.9MB, alloc=4.6MB, time=72.77
x[1] = -0.22094763499230839361891730296309
y[1] (analytic) = 20.483887847442863417957639034437
y[1] (numeric) = 20.483887847639464945465189907025
absolute error = 1.96601527507550872588e-10
relative error = 9.5978619377226240993280239304009e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06551
Order of pole = 1.305
memory used=499.7MB, alloc=4.6MB, time=73.29
x[1] = -0.21999416004824853988915076505306
y[1] (analytic) = 20.661827059100047189396223673727
y[1] (numeric) = 20.661827059296648740110580599255
absolute error = 1.96601550714356925528e-10
relative error = 9.5152064796597016112497174642804e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06583
Order of pole = 1.307
x[1] = -0.21898459834277340064586854844244
y[1] (analytic) = 20.852772326210117167440378467305
y[1] (numeric) = 20.85277232640671874361964083509
absolute error = 1.96601576179262367785e-10
relative error = 9.4280785836879503759173298451453e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
memory used=503.5MB, alloc=4.6MB, time=73.83
Complex estimate of poles used
Radius of convergence = 0.06617
Order of pole = 1.309
x[1] = -0.21797503663729826140258633183182
y[1] (analytic) = 21.046376774317966846203744702072
y[1] (numeric) = 21.046376774514568448804512546546
absolute error = 1.96601602600767844474e-10
relative error = 9.3413514691361385588049372628707e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.0665
Order of pole = 1.311
memory used=507.3MB, alloc=4.6MB, time=74.34
x[1] = -0.2169654749318231221593041152212
y[1] (analytic) = 21.242690010371377388381225815123
y[1] (numeric) = 21.242690010567979018400716124941
absolute error = 1.96601630019490309818e-10
relative error = 9.2550251368119080674419819598381e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06683
Order of pole = 1.313
memory used=511.1MB, alloc=4.6MB, time=74.86
x[1] = -0.21595591322634798291602189861058
y[1] (analytic) = 21.44176280349811002778981683391
y[1] (numeric) = 21.441762803694711686267788803456
absolute error = 1.96601658477971969546e-10
relative error = 9.1690995875533820536889831014352e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06715
Order of pole = 1.315
memory used=515.0MB, alloc=4.6MB, time=75.38
x[1] = -0.21494635152087284367273968199996
y[1] (analytic) = 21.643647117832155212449689106433
y[1] (numeric) = 21.643647118028756900470470246544
absolute error = 1.96601688020781140111e-10
relative error = 9.0835748222304652156838323054127e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06746
Order of pole = 1.317
memory used=518.8MB, alloc=4.6MB, time=75.89
x[1] = -0.21399287657681298994297314408993
y[1] (analytic) = 21.836945125638268463518348064137
y[1] (numeric) = 21.836945125834870180478370921795
absolute error = 1.96601716960022857658e-10
relative error = 9.0031694373402616010115325584472e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06776
Order of pole = 1.319
x[1] = -0.21298331487133785069969092747931
y[1] (analytic) = 22.044449698726893281274823683654
y[1] (numeric) = 22.044449698923495030021781600613
absolute error = 1.96601748746957916959e-10
relative error = 8.9184239767306154366926860522077e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06806
Order of pole = 1.321
memory used=522.6MB, alloc=4.6MB, time=76.42
x[1] = -0.21197375316586271145640871086869
y[1] (analytic) = 22.254926067914971880237561911946
y[1] (numeric) = 22.254926068111573661999826875697
absolute error = 1.96601781762264963751e-10
relative error = 8.8340793028158672067690421916032e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06836
Order of pole = 1.323
memory used=526.4MB, alloc=4.6MB, time=76.95
x[1] = -0.21096419146038757221312649425807
y[1] (analytic) = 22.468431252676614767175643982329
y[1] (numeric) = 22.468431252873216583235248904895
absolute error = 1.96601816059604922566e-10
relative error = 8.7501354166052060664060780746804e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06865
Order of pole = 1.325
memory used=530.2MB, alloc=4.6MB, time=77.46
x[1] = -0.20995462975491243296984427764745
y[1] (analytic) = 22.685023646595867183950965825031
y[1] (numeric) = 22.68502364679246903564622181263
absolute error = 1.96601851695255987599e-10
relative error = 8.6665923191470077623624974028284e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06894
Order of pole = 1.327
memory used=534.0MB, alloc=4.6MB, time=77.98
x[1] = -0.20894506804943729372656206103683
y[1] (analytic) = 22.904763057296320758057134857501
y[1] (numeric) = 22.904763057492922646785389586472
absolute error = 1.96601888728254728971e-10
relative error = 8.5834500115305547540306844520548e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06923
Order of pole = 1.329
memory used=537.8MB, alloc=4.6MB, time=78.50
x[1] = -0.2079915931053774399967955231268
y[1] (analytic) = 23.115239536753075856918941117462
y[1] (numeric) = 23.115239536949677781961650919763
absolute error = 1.96601925042709802301e-10
relative error = 8.5052947312146196823621960202188e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06949
Order of pole = 1.331
x[1] = -0.20698203139990230075351330651618
y[1] (analytic) = 23.341274870894609435542628586621
y[1] (numeric) = 23.341274871091211400515488592241
absolute error = 1.96601964972860005620e-10
relative error = 8.4229317404600176155696406250030e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06976
Order of pole = 1.333
memory used=541.7MB, alloc=4.6MB, time=79.01
x[1] = -0.20597246969442716151023108990556
y[1] (analytic) = 23.570641935318328966927124787088
y[1] (numeric) = 23.570641935514930973418802879453
absolute error = 1.96602006491678092365e-10
relative error = 8.3409695430097296646750448638655e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07003
Order of pole = 1.336
memory used=545.5MB, alloc=4.6MB, time=79.53
x[1] = -0.20496290798895202226694887329494
y[1] (analytic) = 23.803406531677137957212253417855
y[1] (numeric) = 23.80340653187374000688287930319
absolute error = 1.96602049670625885335e-10
relative error = 8.2594081401328618336660956396529e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.0703
Order of pole = 1.338
memory used=549.3MB, alloc=4.6MB, time=80.05
x[1] = -0.20395334628347688302366665668432
y[1] (analytic) = 24.039636094145907602235498365288
y[1] (numeric) = 24.039636094342509696820253118823
absolute error = 1.96602094584754753535e-10
relative error = 8.1782475331492630308927758595928e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07055
Order of pole = 1.34
memory used=553.1MB, alloc=4.6MB, time=80.58
x[1] = -0.20299987133941702929390011877429
y[1] (analytic) = 24.265985623935844359378812533341
y[1] (numeric) = 24.265985624132446498046728986291
absolute error = 1.96602138667916452950e-10
relative error = 8.1019638647601071220363217226225e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07079
Order of pole = 1.342
x[1] = -0.20199030963394189005061790216367
y[1] (analytic) = 24.509152034582229581923788147325
y[1] (numeric) = 24.509152034778831769109091404465
absolute error = 1.96602187185303257140e-10
relative error = 8.0215825871045659393841014048185e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07104
Order of pole = 1.344
memory used=556.9MB, alloc=4.6MB, time=81.10
x[1] = -0.20098074792846675080733568555305
y[1] (analytic) = 24.755991923261008786142628748741
y[1] (numeric) = 24.755991923457611023824294284518
absolute error = 1.96602237681665535777e-10
relative error = 7.9416021095456837393297505198808e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07129
Order of pole = 1.347
memory used=560.7MB, alloc=4.6MB, time=81.61
x[1] = -0.19997118622299161156405346894243
y[1] (analytic) = 25.006579656575599076115639002578
y[1] (numeric) = 25.006579656772201366363916164526
absolute error = 1.96602290248277161948e-10
relative error = 7.8620224336269696322520489412479e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07153
Order of pole = 1.349
memory used=564.5MB, alloc=4.6MB, time=82.16
x[1] = -0.19896162451751647232077125233181
y[1] (analytic) = 25.260991492546959697696208998962
y[1] (numeric) = 25.26099149274356204267732245781
absolute error = 1.96602344981113458848e-10
relative error = 7.7828435609552105496066825278580e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07176
Order of pole = 1.352
memory used=568.4MB, alloc=4.6MB, time=82.68
x[1] = -0.19795206281204133307748903572119
y[1] (analytic) = 25.519305638634997714794770613247
y[1] (numeric) = 25.519305638831600116775889571402
absolute error = 1.96602401981118958155e-10
relative error = 7.7040654932034046189116217627334e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07199
Order of pole = 1.354
memory used=572.2MB, alloc=4.6MB, time=83.21
x[1] = -0.19699858786798147934772249781116
y[1] (analytic) = 25.76692440480320141112228920754
y[1] (numeric) = 25.76692440499980386911412160667
absolute error = 1.96602457991832399130e-10
relative error = 7.6300320093764787316120142595745e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07221
Order of pole = 1.356
x[1] = -0.19598902616250634010444028120054
y[1] (analytic) = 26.033057876024447944096820171706
y[1] (numeric) = 26.033057876221050463806054580679
absolute error = 1.96602519709234408973e-10
relative error = 7.5520332895775020050633057751165e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07243
Order of pole = 1.359
memory used=576.0MB, alloc=4.6MB, time=83.73
x[1] = -0.19497946445703120086115806458992
y[1] (analytic) = 26.303335840955637508456144710534
y[1] (numeric) = 26.303335841152240092478839494404
absolute error = 1.96602584022694783870e-10
relative error = 7.4744353800393073286442431417313e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07264
Order of pole = 1.361
memory used=579.8MB, alloc=4.6MB, time=84.26
x[1] = -0.1939699027515560616178758479793
y[1] (analytic) = 26.577844803887076175735498828487
y[1] (numeric) = 26.577844804083678826791208462691
absolute error = 1.96602651055709634204e-10
relative error = 7.3972382827277253687992972483612e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07286
Order of pole = 1.364
memory used=583.6MB, alloc=4.6MB, time=84.78
x[1] = -0.19296034104608092237459363136868
y[1] (analytic) = 26.856673537829654850868109966741
y[1] (numeric) = 26.856673538026257571806447110142
absolute error = 1.96602720938337143401e-10
relative error = 7.3204419996917097419702356434426e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07306
Order of pole = 1.366
memory used=587.4MB, alloc=4.6MB, time=85.30
x[1] = -0.19195077934060578313131141475806
y[1] (analytic) = 27.13991315629174667253679060982
y[1] (numeric) = 27.139913156488349466344373767146
absolute error = 1.96602793807583157326e-10
relative error = 7.2440465330673120321268259258903e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07326
Order of pole = 1.369
memory used=591.2MB, alloc=4.6MB, time=85.83
x[1] = -0.19099730439654592940154487684803
y[1] (analytic) = 27.411551615536118156630527920649
y[1] (numeric) = 27.41155161573272102213141354248
absolute error = 1.96602865500885621831e-10
relative error = 7.1722632946270904210766883768137e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07345
Order of pole = 1.371
x[1] = -0.18998774269107079015826266023741
y[1] (analytic) = 27.70363793845757357520748064193
y[1] (numeric) = 27.703637938654176519805209386304
absolute error = 1.96602944597728744374e-10
relative error = 7.0966471997097865819950941157381e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07364
Order of pole = 1.374
memory used=595.1MB, alloc=4.6MB, time=86.34
x[1] = -0.18897818098559565091498044362679
y[1] (analytic) = 28.000417741550691933985975157622
y[1] (numeric) = 28.000417741747294961114971060093
absolute error = 1.96603027128995902471e-10
relative error = 7.0214319280405073204867118296397e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07383
Order of pole = 1.376
memory used=598.9MB, alloc=4.6MB, time=86.87
x[1] = -0.18796861928012051167169822701617
y[1] (analytic) = 28.301992123329526837031265351772
y[1] (numeric) = 28.301992123526129950294628754953
absolute error = 1.96603113263363403181e-10
relative error = 6.9466174821419056294902949935909e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07402
Order of pole = 1.379
memory used=602.7MB, alloc=4.6MB, time=87.40
x[1] = -0.18695905757464537242841601040555
y[1] (analytic) = 28.608464919116334717908635676987
y[1] (numeric) = 28.608464919312937921087398251035
absolute error = 1.96603203178762574048e-10
relative error = 6.8722038646467614108755348242652e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.0742
Order of pole = 1.382
memory used=606.5MB, alloc=4.6MB, time=87.92
x[1] = -0.18594949586917023318513379379493
y[1] (analytic) = 28.919942790429249011944997213081
y[1] (numeric) = 28.919942790625852309007938634127
absolute error = 1.96603297062941421046e-10
relative error = 6.7981910783034195705829389702060e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07437
Order of pole = 1.385
x[1] = -0.1849960209251103794553672558849
y[1] (analytic) = 29.218810762483931258977091622463
y[1] (numeric) = 29.21881076268053464853104660612
absolute error = 1.96603389553954983657e-10
relative error = 6.7286581631305742888020466397292e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07453
Order of pole = 1.387
memory used=610.3MB, alloc=4.6MB, time=88.44
x[1] = -0.18398645921963524021208503927428
y[1] (analytic) = 29.540337132514959937199665880716
y[1] (numeric) = 29.540337132711563428932099864913
absolute error = 1.96603491732433984197e-10
relative error = 6.6554247790230232051759646721513e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.0747
Order of pole = 1.39
memory used=614.1MB, alloc=4.6MB, time=88.96
x[1] = -0.18297689751416010096880282266366
y[1] (analytic) = 29.86719995406279615225655574366
y[1] (numeric) = 29.86719995425939975075199099299
absolute error = 1.96603598495435249330e-10
relative error = 6.5825922348871380869510217806678e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07486
Order of pole = 1.393
memory used=618.0MB, alloc=4.6MB, time=89.48
x[1] = -0.18196733580868496172552060605304
y[1] (analytic) = 30.199517976446292974167927776929
y[1] (numeric) = 30.199517976642896684243595148528
absolute error = 1.96603710075667371599e-10
relative error = 6.5101605339861975779760914360778e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07502
Order of pole = 1.396
memory used=621.8MB, alloc=4.6MB, time=90.00
x[1] = -0.18095777410320982248223838944242
y[1] (analytic) = 30.537413270504515437476064706689
y[1] (numeric) = 30.537413270701119264195102406911
absolute error = 1.96603826719037700222e-10
relative error = 6.4381296797307142842391451292350e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07517
Order of pole = 1.398
memory used=625.6MB, alloc=4.6MB, time=90.52
x[1] = -0.1799482123977346832389561728318
y[1] (analytic) = 30.881011340709389851387306914181
y[1] (numeric) = 30.881011340905993800072787397387
absolute error = 1.96603948685480483206e-10
relative error = 6.3664996756859502823267253158200e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07532
Order of pole = 1.401
x[1] = -0.17899473745367482950918963492177
y[1] (analytic) = 31.210873233822745981990678689091
y[1] (numeric) = 31.210873234019350051001883414017
absolute error = 1.96604069011204724926e-10
relative error = 6.2992171842903742345906588828659e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07545
Order of pole = 1.404
memory used=629.4MB, alloc=4.6MB, time=91.05
x[1] = -0.17798517574819969026590741831115
y[1] (analytic) = 31.56593278140088643112985963617
y[1] (numeric) = 31.565932781597490633258995017288
absolute error = 1.96604202129135381118e-10
relative error = 6.2283666220368269703033464449878e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07559
Order of pole = 1.407
memory used=633.2MB, alloc=4.6MB, time=91.57
x[1] = -0.17697561404272455102262520170053
y[1] (analytic) = 31.927085722817898073530493189978
y[1] (numeric) = 31.927085723014502414956210145675
absolute error = 1.96604341425716955697e-10
relative error = 6.1579169214685396430549307529601e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07572
Order of pole = 1.41
memory used=637.0MB, alloc=4.6MB, time=92.09
x[1] = -0.17596605233724941177934298508991
y[1] (analytic) = 32.294472288311536803473013382875
y[1] (numeric) = 32.294472288508141290698465373196
absolute error = 1.96604487225451990321e-10
relative error = 6.0878680868431410287938722797673e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07585
Order of pole = 1.413
memory used=640.8MB, alloc=4.6MB, time=92.61
x[1] = -0.17495649063177427253606076847929
y[1] (analytic) = 32.668236765390486982026857497153
y[1] (numeric) = 32.668236765587091621898747648799
absolute error = 1.96604639871890151646e-10
relative error = 6.0182201226170192119074405727663e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07598
Order of pole = 1.416
memory used=644.7MB, alloc=4.6MB, time=93.13
x[1] = -0.17394692892629913329277855186867
y[1] (analytic) = 33.048527640518729237810184306252
y[1] (numeric) = 33.048527640715334037539049560049
absolute error = 1.96604799728865253797e-10
relative error = 5.9489730334558210760157822834254e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.0761
Order of pole = 1.419
x[1] = -0.17299345398223927956301201395864
y[1] (analytic) = 33.413821525978495190150566784703
y[1] (numeric) = 33.413821526175100147823329656146
absolute error = 1.96604957672762871443e-10
relative error = 5.8839410966478927280018978837743e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07621
Order of pole = 1.422
memory used=648.5MB, alloc=4.6MB, time=93.65
x[1] = -0.17198389227676414031972979734802
y[1] (analytic) = 33.807244180782148998963971972755
y[1] (numeric) = 33.807244180978754131638324493157
absolute error = 1.96605132674352520402e-10
relative error = 5.8154735009756702867908937616212e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07632
Order of pole = 1.425
memory used=652.3MB, alloc=4.6MB, time=94.18
x[1] = -0.1709743305712890010764475807374
y[1] (analytic) = 34.207656267691375737573707175178
y[1] (numeric) = 34.207656267887981053662398601735
absolute error = 1.96605316088691426557e-10
relative error = 5.7474067954308297114728159215370e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07643
Order of pole = 1.429
memory used=656.1MB, alloc=4.6MB, time=94.70
x[1] = -0.16996476886581386183316536412678
y[1] (analytic) = 34.615224333517731276083157379805
y[1] (numeric) = 34.615224333714336784456647455056
absolute error = 1.96605508373490075251e-10
relative error = 5.6797409856193837570266387797732e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07653
Order of pole = 1.432
memory used=659.9MB, alloc=4.6MB, time=95.22
x[1] = -0.16895520716033872258988314751616
y[1] (analytic) = 35.0301199154024341249201363186
y[1] (numeric) = 35.030119915599039834934432200883
absolute error = 1.96605710014295882283e-10
relative error = 5.6124760774184529474839768224224e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07663
Order of pole = 1.435
x[1] = -0.16794564545486358334660093090554
y[1] (analytic) = 35.452519721328892025592726658922
y[1] (numeric) = 35.452519721525497947119093468066
absolute error = 1.96605921526366809144e-10
relative error = 5.5456120769911044697348751141504e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
memory used=663.7MB, alloc=4.6MB, time=95.74
Complex estimate of poles used
Radius of convergence = 0.07672
Order of pole = 1.438
x[1] = -0.16699217051080372961683439299551
y[1] (analytic) = 35.858507334873764665226435517325
y[1] (numeric) = 35.858507335070370796070619775647
absolute error = 1.96606130844184258322e-10
relative error = 5.4828308665535920114156705273616e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.0768
Order of pole = 1.442
memory used=667.5MB, alloc=4.6MB, time=96.25
x[1] = -0.16598260880532859037355217638489
y[1] (analytic) = 36.296024886309127691276234278419
y[1] (numeric) = 36.296024886505734054422940262718
absolute error = 1.96606363146705984299e-10
relative error = 5.4167464278124287921930414411911e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07689
Order of pole = 1.445
memory used=671.4MB, alloc=4.6MB, time=96.77
x[1] = -0.16497304709985345113026995977427
y[1] (analytic) = 36.741598834991081208427485544858
y[1] (numeric) = 36.741598835187687815457622414881
absolute error = 1.96606607030136870023e-10
relative error = 5.3510629168074578439298997635468e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07697
Order of pole = 1.448
memory used=675.2MB, alloc=4.6MB, time=97.29
x[1] = -0.16396348539437831188698774316365
y[1] (analytic) = 37.195428198801816899820531042617
y[1] (numeric) = 37.195428198998423762968566651714
absolute error = 1.96606863148035609097e-10
relative error = 5.2857803409927928124467306188030e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07704
Order of pole = 1.452
memory used=679.0MB, alloc=4.6MB, time=97.81
x[1] = -0.16295392368890317264370552655303
y[1] (analytic) = 37.657718179159309825194064706672
y[1] (numeric) = 37.657718179355916957389263975079
absolute error = 1.96607132195199268407e-10
relative error = 5.2208987081964621217694227669522e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07711
Order of pole = 1.455
x[1] = -0.16194436198342803340042330994241
y[1] (analytic) = 38.128680393004014773890253534166
y[1] (numeric) = 38.128680393200622188800797174898
absolute error = 1.96607414910543640732e-10
relative error = 5.1564180266416423125420019170059e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07718
Order of pole = 1.459
memory used=682.8MB, alloc=4.6MB, time=98.33
x[1] = -0.16099088703936817967065677203238
y[1] (analytic) = 38.581637594478799621351603434216
y[1] (numeric) = 38.581637594675407316529188601566
absolute error = 1.96607695177585167350e-10
relative error = 5.0958877703449421451508898080601e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07723
Order of pole = 1.462
memory used=686.6MB, alloc=4.6MB, time=98.85
x[1] = -0.15998132533389304042737455542176
y[1] (analytic) = 39.07009355412591112600361569354
y[1] (numeric) = 39.070093554322519132769519237371
absolute error = 1.96608006765903543831e-10
relative error = 5.0321867413378944562774434998080e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07729
Order of pole = 1.466
memory used=690.4MB, alloc=4.6MB, time=99.37
x[1] = -0.15897176362841790118409233881114
y[1] (analytic) = 39.567884465712982415325961774253
y[1] (numeric) = 39.567884465909590749811075534188
absolute error = 1.96608334485113759935e-10
relative error = 4.9688866903026383748582602087061e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07734
Order of pole = 1.469
memory used=694.2MB, alloc=4.6MB, time=99.91
x[1] = -0.15796220192294276194081012220052
y[1] (analytic) = 40.075249719039773751567421923691
y[1] (numeric) = 40.075249719236382430848205006378
absolute error = 1.96608679280783082687e-10
relative error = 4.9059876272554875244125161751624e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07739
Order of pole = 1.473
memory used=698.1MB, alloc=4.6MB, time=100.43
x[1] = -0.1569526402174676226975279055899
y[1] (analytic) = 40.59243642706660639332180438203
y[1] (numeric) = 40.592436427263215435482270988181
absolute error = 1.96609042160466606151e-10
relative error = 4.8434895627346423725947895561586e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07743
Order of pole = 1.477
x[1] = -0.15599916527340776896776136767987
y[1] (analytic) = 41.090138524433446378542369421805
y[1] (numeric) = 41.090138524630055780994511433329
absolute error = 1.96609402452142011524e-10
relative error = 4.7848318237046604194135068165785e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07746
Order of pole = 1.48
memory used=701.9MB, alloc=4.6MB, time=100.94
x[1] = -0.15498960356793262972447915106925
y[1] (analytic) = 41.627160385568882389719384194873
y[1] (numeric) = 41.627160385765492193353414709205
absolute error = 1.96609803634030514332e-10
relative error = 4.7231135108170943337587561180244e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07749
Order of pole = 1.484
memory used=705.7MB, alloc=4.6MB, time=101.47
x[1] = -0.15398004186245749048119693445863
y[1] (analytic) = 42.174779105858232646946467400282
y[1] (numeric) = 42.17477910605484287321781947937
absolute error = 1.96610226271352079088e-10
relative error = 4.6617962308199070618297282544504e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07752
Order of pole = 1.488
memory used=709.5MB, alloc=4.6MB, time=102.00
x[1] = -0.15297048015698235123791471784801
y[1] (analytic) = 42.733275331594316331573633837714
y[1] (numeric) = 42.733275331790927003237259268041
absolute error = 1.96610671663625430327e-10
relative error = 4.6008799966302553062169395511034e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07754
Order of pole = 1.492
memory used=713.3MB, alloc=4.6MB, time=102.52
x[1] = -0.15196091845150721199463250123739
y[1] (analytic) = 43.30293906158827597425021792346
y[1] (numeric) = 43.302939061784887115448631546975
absolute error = 1.96611141198413623515e-10
relative error = 4.5403648218607143926758618655793e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07756
Order of pole = 1.496
x[1] = -0.15095135674603207275135028462677
y[1] (analytic) = 43.884070023678525660863205222289
y[1] (numeric) = 43.884070023875137297221135420628
absolute error = 1.96611636357930198339e-10
relative error = 4.4802507208616809397573154618022e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07757
Order of pole = 1.5
memory used=717.1MB, alloc=4.6MB, time=103.06
x[1] = -0.14999788180197221902158374671674
y[1] (analytic) = 44.443724367067331055219522502363
y[1] (numeric) = 44.443724367263943184183159787595
absolute error = 1.96612128963637285232e-10
relative error = 4.4238445756658119791950886868998e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07758
Order of pole = 1.503
memory used=721.0MB, alloc=4.6MB, time=103.61
x[1] = -0.14898832009649707977830153010612
y[1] (analytic) = 45.048049211834054846953458360696
y[1] (numeric) = 45.048049212030667525535578619172
absolute error = 1.96612678582120258476e-10
relative error = 4.3645103844024038938157621811066e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07758
Order of pole = 1.507
memory used=724.8MB, alloc=4.6MB, time=104.14
x[1] = -0.1479787583910219405350193134955
y[1] (analytic) = 45.664784180265075708790392897083
y[1] (numeric) = 45.664784180461688967600910393273
absolute error = 1.96613258810517496190e-10
relative error = 4.3055773138962460816729763115375e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07758
Order of pole = 1.512
memory used=728.6MB, alloc=4.6MB, time=104.67
x[1] = -0.14696919668554680129173709688488
y[1] (analytic) = 46.294271405451096571585089193474
y[1] (numeric) = 46.294271405647710443165138130351
absolute error = 1.96613871580048936877e-10
relative error = 4.2470453818806160616335844935218e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07757
Order of pole = 1.516
memory used=732.4MB, alloc=4.6MB, time=105.20
x[1] = -0.14595963498007166204845488027426
y[1] (analytic) = 46.936864892351787713648483781847
y[1] (numeric) = 46.936864892548402232606749777421
absolute error = 1.96614518958265995574e-10
relative error = 4.1889146070832631119845319489777e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07756
Order of pole = 1.52
x[1] = -0.14495007327459652280517266366364
y[1] (analytic) = 47.59293101557885596948287731717
y[1] (numeric) = 47.592931015775471172642590220598
absolute error = 1.96615203159712903428e-10
relative error = 4.1311850092895889766694703208600e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07754
Order of pole = 1.524
memory used=736.2MB, alloc=4.6MB, time=105.72
x[1] = -0.14399659833053666907540612575361
y[1] (analytic) = 48.225261359157989832468407725441
y[1] (numeric) = 48.225261359354605717766387136273
absolute error = 1.96615885297979410832e-10
relative error = 4.0770309948904403902029820754439e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07752
Order of pole = 1.528
memory used=740.0MB, alloc=4.6MB, time=106.24
x[1] = -0.14298703662506152983212390914299
y[1] (analytic) = 48.908622089556461711803808200947
y[1] (numeric) = 48.908622089753078359851438119046
absolute error = 1.96616648047629918099e-10
relative error = 4.0200815244315335847719749081572e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.0775
Order of pole = 1.532
memory used=743.8MB, alloc=4.6MB, time=106.77
x[1] = -0.14197747491958639058884169253237
y[1] (analytic) = 49.606611178571516602310885039428
y[1] (numeric) = 49.606611178768134057421150148154
absolute error = 1.96617455110265108726e-10
relative error = 3.9635332960457822234086625174916e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07746
Order of pole = 1.537
memory used=747.7MB, alloc=4.6MB, time=107.29
x[1] = -0.14096791321411125134555947592175
y[1] (analytic) = 50.319649140461557763791110359809
y[1] (numeric) = 50.319649140658176073194279034677
absolute error = 1.96618309403168674868e-10
relative error = 3.9073863343985388998526524031721e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07742
Order of pole = 1.541
memory used=751.5MB, alloc=4.6MB, time=107.80
x[1] = -0.13995835150863611210227725931113
y[1] (analytic) = 51.048171708933234284847844471946
y[1] (numeric) = 51.048171709129853498906426371495
absolute error = 1.96619214058581899549e-10
relative error = 3.8516406655984956872052157492250e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07738
Order of pole = 1.546
x[1] = -0.13894878980316097285899504270051
y[1] (analytic) = 51.792630502941653750930737594479
y[1] (numeric) = 51.792630503138273923371992648991
absolute error = 1.96620172441255054512e-10
relative error = 3.7962963172933968899415011076948e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07733
Order of pole = 1.55
memory used=755.3MB, alloc=4.6MB, time=108.32
x[1] = -0.13799531485910111912922850479048
y[1] (analytic) = 52.510785008404662530891628552216
y[1] (numeric) = 52.510785008601283661060731641517
absolute error = 1.96621130169103089301e-10
relative error = 3.7443951778217124624800516045387e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07728
Order of pole = 1.554
memory used=759.1MB, alloc=4.6MB, time=108.84
x[1] = -0.13698575315362597988594628817986
y[1] (analytic) = 53.287586815201909705713157101381
y[1] (numeric) = 53.287586815398531909332358417998
absolute error = 1.96622203619201316617e-10
relative error = 3.6898312603472753802370150370678e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07722
Order of pole = 1.559
memory used=762.9MB, alloc=4.6MB, time=109.36
x[1] = -0.13597619144815084064266407156924
y[1] (analytic) = 54.081753732205296239737543467641
y[1] (numeric) = 54.081753732401919581982878788687
absolute error = 1.96623342245335321046e-10
relative error = 3.6356687547328468338901327208662e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07716
Order of pole = 1.564
memory used=766.7MB, alloc=4.6MB, time=109.88
x[1] = -0.13496662974267570139938185495862
y[1] (analytic) = 54.893807220412733340383818234777
y[1] (numeric) = 54.893807220609357890917064508946
absolute error = 1.96624550533246274169e-10
relative error = 3.5819076957761047319970499017038e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07709
Order of pole = 1.568
x[1] = -0.133957068037200562156099638348
y[1] (analytic) = 55.724288462261820144414272600147
y[1] (numeric) = 55.724288462458445977728609083008
absolute error = 1.96625833314336482861e-10
relative error = 3.5285481204035017236312727534246e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07701
Order of pole = 1.573
memory used=770.5MB, alloc=4.6MB, time=110.40
x[1] = -0.13294750633172542291281742173738
y[1] (analytic) = 56.573759263457905249748689692134
y[1] (numeric) = 56.573759263654532445543884594543
absolute error = 1.96627195795194902409e-10
relative error = 3.4755900678178945760854517043697e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07693
Order of pole = 1.578
memory used=774.4MB, alloc=4.6MB, time=110.92
x[1] = -0.13199403138766556918305088382735
y[1] (analytic) = 57.39399910838227896849675260316
y[1] (numeric) = 57.393999108578907529314532339887
absolute error = 1.96628560817779736727e-10
relative error = 3.4259428489460761070578101474931e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07685
Order of pole = 1.582
memory used=778.2MB, alloc=4.6MB, time=111.45
x[1] = -0.13098446968219042993976866721673
y[1] (analytic) = 58.28208439795739904403326829656
y[1] (numeric) = 58.282084398154029138773445281945
absolute error = 1.96630094740176985385e-10
relative error = 3.3737656566563745331746240521996e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07675
Order of pole = 1.587
memory used=782.0MB, alloc=4.6MB, time=111.97
x[1] = -0.12997490797671529069648645060611
y[1] (analytic) = 59.190942551629326591049087543561
y[1] (numeric) = 59.190942551825958317244312233247
absolute error = 1.96631726195224689686e-10
relative error = 3.3219901173851485298326626795245e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07666
Order of pole = 1.592
memory used=785.8MB, alloc=4.6MB, time=112.50
x[1] = -0.12896534627124015145320423399549
y[1] (analytic) = 60.121226497290529902878956154
y[1] (numeric) = 60.121226497487163365094086650863
absolute error = 1.96633462215130496863e-10
relative error = 3.2706162809900781694049414365679e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07655
Order of pole = 1.597
x[1] = -0.12795578456576501220992201738487
y[1] (analytic) = 61.073615018696267483997001561593
y[1] (numeric) = 61.073615018892902794396988952676
absolute error = 1.96635310399987391083e-10
relative error = 3.2196442005241062266692684050386e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07644
Order of pole = 1.602
memory used=789.6MB, alloc=4.6MB, time=113.02
x[1] = -0.12694622286028987296663980077425
y[1] (analytic) = 62.048813993907597014014057158909
y[1] (numeric) = 62.04881399410423429298268423917
absolute error = 1.96637278968627080261e-10
relative error = 3.1690739324676593455916205258919e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07633
Order of pole = 1.607
memory used=793.4MB, alloc=4.6MB, time=113.54
x[1] = -0.12599274791623001923687326286422
y[1] (analytic) = 62.991441401271458967071703247981
y[1] (numeric) = 62.991441401468098223787398434297
absolute error = 1.96639256715695186316e-10
relative error = 3.1216821260376190658895132111034e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07621
Order of pole = 1.612
memory used=797.2MB, alloc=4.6MB, time=114.06
x[1] = -0.1249831862107548799935910462536
y[1] (analytic) = 64.013122852451448557461774819901
y[1] (numeric) = 64.013122852648090042946977058497
absolute error = 1.96641485485202238596e-10
relative error = 3.0718933356595592197330353164562e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07608
Order of pole = 1.617
memory used=801.1MB, alloc=4.6MB, time=114.58
x[1] = -0.12397362450527974075030882964298
y[1] (analytic) = 65.059863386139176243055079347817
y[1] (numeric) = 65.059863386335820106047528200056
absolute error = 1.96643862992448852239e-10
relative error = 3.0225065463992855967609173141618e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07595
Order of pole = 1.622
x[1] = -0.12296406279980460150702661303236
y[1] (analytic) = 66.132489243316239537075423427922
y[1] (numeric) = 66.132489243512885937572961096731
absolute error = 1.96646400497537668809e-10
relative error = 2.9735218309117553209006281015844e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
memory used=804.9MB, alloc=4.6MB, time=115.11
Complex estimate of poles used
Radius of convergence = 0.07581
Order of pole = 1.628
x[1] = -0.12195450109432946226374439642174
y[1] (analytic) = 67.231861000251996081352577449724
y[1] (numeric) = 67.231861000448645191568281514472
absolute error = 1.96649110215704064748e-10
relative error = 2.9249392667409130845654712522841e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07566
Order of pole = 1.633
memory used=808.7MB, alloc=4.6MB, time=115.63
x[1] = -0.12094493938885432302046217981112
y[1] (analytic) = 68.35887529500907080418504936094
y[1] (numeric) = 68.3588752952057228095922430371
absolute error = 1.96652005407193676160e-10
relative error = 2.8767589366929121539608219468856e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07551
Order of pole = 1.638
memory used=812.5MB, alloc=4.6MB, time=116.15
x[1] = -0.11999146444479446929069564190109
y[1] (analytic) = 69.449501045222424525366219520416
y[1] (numeric) = 69.449501045419079448390351030541
absolute error = 1.96654923024131510125e-10
relative error = 2.8316247066494916290958102482483e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07536
Order of pole = 1.644
memory used=816.3MB, alloc=4.6MB, time=116.67
x[1] = -0.11898190273931933004741342529047
y[1] (analytic) = 70.632975819124021995899180874128
y[1] (numeric) = 70.632975819320680217120693488365
absolute error = 1.96658221221512614237e-10
relative error = 2.7842267572742843504735296227500e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.0752
Order of pole = 1.649
memory used=820.1MB, alloc=4.6MB, time=117.20
x[1] = -0.11797234103384419080413120867985
y[1] (analytic) = 71.846960662258117939706963486461
y[1] (numeric) = 71.846960662454779690710218721434
absolute error = 1.96661751003255234973e-10
relative error = 2.7372313204414156469786492333920e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07503
Order of pole = 1.655
x[1] = -0.11696277932836905156084899206923
y[1] (analytic) = 73.092513368143171069011671604961
y[1] (numeric) = 73.092513368339836599835212040207
absolute error = 1.96665530823540435246e-10
relative error = 2.6906385040147715837546904081561e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07485
Order of pole = 1.66
memory used=824.0MB, alloc=4.6MB, time=117.72
x[1] = -0.11595321762289391231756677545861
y[1] (analytic) = 74.370737972199179195137100040567
y[1] (numeric) = 74.370737972395848775922083284442
absolute error = 1.96669580784983243875e-10
relative error = 2.6444484234982457835012599750298e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07467
Order of pole = 1.666
memory used=827.8MB, alloc=4.6MB, time=118.28
x[1] = -0.11499974267883405858780023754858
y[1] (analytic) = 75.608987965172353530763502714711
y[1] (numeric) = 75.608987965369027204283366898219
absolute error = 1.96673673519864183508e-10
relative error = 2.6011943660779808517941499044760e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07449
Order of pole = 1.671
memory used=831.6MB, alloc=4.6MB, time=118.85
x[1] = -0.11399018097335891934451802093796
y[1] (analytic) = 76.954087299053845393124965237404
y[1] (numeric) = 76.954087299250523706408039324862
absolute error = 1.96678313283074087458e-10
relative error = 2.5557877454742063818561483886964e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07429
Order of pole = 1.677
memory used=835.4MB, alloc=4.6MB, time=119.40
x[1] = -0.11298061926788378010123580432734
y[1] (analytic) = 78.335401973207224997089883845136
y[1] (numeric) = 78.335401973403908290689914591599
absolute error = 1.96683293600030746463e-10
relative error = 2.5107842513823012485611053626334e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07409
Order of pole = 1.683
memory used=839.2MB, alloc=4.6MB, time=119.95
x[1] = -0.11197105756240864085795358771672
y[1] (analytic) = 79.754243795200641870138301786112
y[1] (numeric) = 79.754243795397330512988240848331
absolute error = 1.96688642849939062219e-10
relative error = 2.4661840359869998870436201518487e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07388
Order of pole = 1.689
x[1] = -0.1109614958569335016146713711061
y[1] (analytic) = 81.211984509399876924118950425604
y[1] (numeric) = 81.21198450959657131618299909866
absolute error = 1.96694392064048673056e-10
relative error = 2.4219872627454669682946716287103e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07367
Order of pole = 1.695
memory used=843.0MB, alloc=4.6MB, time=120.49
x[1] = -0.10995193415145836237138915449548
y[1] (analytic) = 82.710059113390955391845309185561
y[1] (numeric) = 82.710059113587655967046132307646
absolute error = 1.96700575200823122085e-10
relative error = 2.3781941073353293116015102688528e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07344
Order of pole = 1.701
memory used=846.8MB, alloc=4.6MB, time=121.01
x[1] = -0.10899845920739850864162261658545
y[1] (analytic) = 84.163294869877149683725160876965
y[1] (numeric) = 84.163294870073856530461361341134
absolute error = 1.96706846736200464169e-10
relative error = 2.3372046809755273843553230416953e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07323
Order of pole = 1.706
memory used=850.7MB, alloc=4.6MB, time=121.53
x[1] = -0.10798889750192336939834039997483
y[1] (analytic) = 85.744159099253025622903759899043
y[1] (numeric) = 85.744159099449739606201781072032
absolute error = 1.96713983298021172989e-10
relative error = 2.2941968918292753923947491732656e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07299
Order of pole = 1.712
memory used=854.5MB, alloc=4.6MB, time=122.04
x[1] = -0.10697933579644823015505818336421
y[1] (analytic) = 87.369984712485922253453051352705
y[1] (numeric) = 87.369984712682643927326012058559
absolute error = 1.96721673872960705854e-10
relative error = 2.2515933191510274663546549492648e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07275
Order of pole = 1.719
x[1] = -0.10596977409097309091177596675359
y[1] (analytic) = 89.042492960054349261713772696608
y[1] (numeric) = 89.042492960251079229029225667947
absolute error = 1.96729967315452971339e-10
relative error = 2.2093941979332121834553320994074e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
memory used=858.3MB, alloc=4.6MB, time=122.57
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.0725
Order of pole = 1.725
x[1] = -0.10496021238549795166849375014297
y[1] (analytic) = 90.763488253181852887716350126857
y[1] (numeric) = 90.763488253378591805030057660424
absolute error = 1.96738917313707533567e-10
relative error = 2.1675997815874000407046145161697e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07224
Order of pole = 1.731
memory used=862.1MB, alloc=4.6MB, time=123.10
x[1] = -0.10395065068002281242521153353235
y[1] (analytic) = 92.534863032098090910104397700887
y[1] (numeric) = 92.534863032294839493025412712735
absolute error = 1.96748582921015011848e-10
relative error = 2.1262103435844252446304784799463e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07198
Order of pole = 1.737
memory used=865.9MB, alloc=4.6MB, time=123.62
x[1] = -0.10299717573596295869544499562232
y[1] (analytic) = 94.25587532185061887960899811251
y[1] (numeric) = 94.255875322047377306748391121636
absolute error = 1.96758427139393009126e-10
relative error = 2.0874924397819475494304759512145e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07172
Order of pole = 1.743
memory used=869.7MB, alloc=4.6MB, time=124.13
x[1] = -0.1019876140304878194521627790117
y[1] (analytic) = 96.130983473344323045650798841611
y[1] (numeric) = 96.130983473541092721937376968969
absolute error = 1.96769676286578127358e-10
relative error = 2.0468913265735952999982055613258e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07144
Order of pole = 1.75
memory used=873.5MB, alloc=4.6MB, time=124.66
x[1] = -0.10097805232501268020888056240108
y[1] (analytic) = 98.062606008295029207944733338464
y[1] (numeric) = 98.062606008491811060070790962333
absolute error = 1.96781852126057623869e-10
relative error = 2.0066961315449032717564666861204e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07115
Order of pole = 1.756
x[1] = -0.099968490619537540965598345790459
y[1] (analytic) = 100.05303694678063645967429277747
y[1] (numeric) = 100.053036946977431501100291608
absolute error = 1.9679504142599883053e-10
relative error = 1.9669072267209278342940744160439e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07086
Order of pole = 1.763
memory used=877.4MB, alloc=4.6MB, time=125.18
x[1] = -0.098958928914062401722316129179821
y[1] (analytic) = 102.1046878950971816111327401866
y[1] (numeric) = 102.10468789529399095120836224647
absolute error = 1.9680934007562205987e-10
relative error = 1.9275250150886790474091289795635e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07056
Order of pole = 1.769
memory used=881.2MB, alloc=4.6MB, time=125.70
x[1] = -0.097949367208587262479033912569183
y[1] (analytic) = 104.22009535299112752162422206863
y[1] (numeric) = 104.22009535318795237577521145959
absolute error = 1.9682485415098939096e-10
relative error = 1.8885499335262361883635340563448e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.07025
Order of pole = 1.776
memory used=885.0MB, alloc=4.6MB, time=126.23
x[1] = -0.096995892264527408749267374659136
y[1] (analytic) = 106.27892581882434205479492942284
y[1] (numeric) = 106.27892581902118278284949903087
absolute error = 1.9684072805456960803e-10
relative error = 1.8521143918045206022778904456590e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06995
Order of pole = 1.782
memory used=888.8MB, alloc=4.6MB, time=126.75
x[1] = -0.095986330559052269505985158048498
y[1] (analytic) = 108.52607246863182944994095934038
y[1] (numeric) = 108.52607246882868840313463515561
absolute error = 1.9685895319367581523e-10
relative error = 1.8139323456174603058043691362047e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06963
Order of pole = 1.789
memory used=892.6MB, alloc=4.6MB, time=127.30
x[1] = -0.09497676885357713026270294143786
y[1] (analytic) = 110.84524728458272519319116664985
y[1] (numeric) = 110.84524728477960397070404512437
absolute error = 1.9687877751287847452e-10
relative error = 1.7761589453394814617448242658882e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06929
Order of pole = 1.796
x[1] = -0.093967207148101991019420724827222
y[1] (analytic) = 113.2395616705122784824932257736
y[1] (numeric) = 113.23956167070917884310140914189
absolute error = 1.9690036060818336829e-10
relative error = 1.7387947966550321346735962074276e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06895
Order of pole = 1.802
memory used=896.4MB, alloc=4.6MB, time=127.85
x[1] = -0.092957645442626851776138508216584
y[1] (analytic) = 115.71229686038472395955590268966
y[1] (numeric) = 115.71229686058164783952526187918
absolute error = 1.9692387996935918952e-10
relative error = 1.7018405589767363181664324217327e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06861
Order of pole = 1.809
memory used=900.2MB, alloc=4.6MB, time=128.40
x[1] = -0.091948083737151712532856291605946
y[1] (analytic) = 118.2669151643356914258457323264
y[1] (numeric) = 118.26691516453264095905731238875
absolute error = 1.9694953321158006235e-10
relative error = 1.6652969508667097345015434561856e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06825
Order of pole = 1.816
memory used=904.1MB, alloc=4.6MB, time=128.94
x[1] = -0.090994608793091858803089753695899
y[1] (analytic) = 120.75808793584270709036677697243
y[1] (numeric) = 120.75808793603968300919656403967
absolute error = 1.9697591882978706724e-10
relative error = 1.6311612927693750838706620622632e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06791
Order of pole = 1.823
memory used=907.9MB, alloc=4.6MB, time=129.48
x[1] = -0.089985047087616719559807537085261
y[1] (analytic) = 123.48257359946712973168158149888
y[1] (numeric) = 123.48257359966413610654149794203
absolute error = 1.9700637485991644315e-10
relative error = 1.5954184393575563945150930476873e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06754
Order of pole = 1.83
x[1] = -0.088975485382141580316525320474623
y[1] (analytic) = 126.30030906037433399960746577694
y[1] (numeric) = 126.30030906057137368910499775834
absolute error = 1.9703968949753198140e-10
relative error = 1.5600887358347053845584029136532e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
memory used=911.7MB, alloc=4.6MB, time=130.02
Complex estimate of poles used
Radius of convergence = 0.06716
Order of pole = 1.837
x[1] = -0.087965923676666441073243103863985
y[1] (analytic) = 129.21559868805932841690429906053
y[1] (numeric) = 129.21559868825640458504281114601
absolute error = 1.9707616813851208548e-10
relative error = 1.5251731999808756662775171487084e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06677
Order of pole = 1.844
memory used=915.5MB, alloc=4.6MB, time=130.57
x[1] = -0.086956361971191301829960887253347
y[1] (analytic) = 132.23299809720785525555784418568
y[1] (numeric) = 132.23299809740497140841947324582
absolute error = 1.9711615286162906014e-10
relative error = 1.4906729462242392791401295019044e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06637
Order of pole = 1.851
memory used=919.3MB, alloc=4.6MB, time=131.12
x[1] = -0.085946800265716162586678670642709
y[1] (analytic) = 135.35733195270125048910337713448
y[1] (numeric) = 135.35733195289841051643707031679
absolute error = 1.9716002733369318231e-10
relative error = 1.4565891960886760817365739221018e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06597
Order of pole = 1.858
memory used=923.1MB, alloc=4.6MB, time=131.67
x[1] = -0.084993325321656308856912132732662
y[1] (analytic) = 138.41088403207050842279768526048
y[1] (numeric) = 138.41088403226771384640084825302
absolute error = 1.9720542360316299254e-10
relative error = 1.4247826316712888644676966186548e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06558
Order of pole = 1.865
memory used=927.0MB, alloc=4.6MB, time=132.21
x[1] = -0.083983763616181169613629916122024
y[1] (analytic) = 141.75806119634473684966643986069
y[1] (numeric) = 141.75806119654199499290887569082
absolute error = 1.9725814324243583013e-10
relative error = 1.3915127053636804059587182157944e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06516
Order of pole = 1.872
x[1] = -0.082974201910706030370347699511386
y[1] (analytic) = 145.22813357504866912880561227608
y[1] (numeric) = 145.22813357524598531054265428805
absolute error = 1.9731618173704201197e-10
relative error = 1.3586636203313603522309716051792e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06473
Order of pole = 1.879
memory used=930.8MB, alloc=4.6MB, time=132.76
x[1] = -0.081964640205230891127065482900748
y[1] (analytic) = 148.82719163528506516429829487313
y[1] (numeric) = 148.82719163548244531470678403931
absolute error = 1.9738015040848916618e-10
relative error = 1.3262371495404392347288798749808e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06429
Order of pole = 1.887
memory used=934.6MB, alloc=4.6MB, time=133.32
x[1] = -0.08095507849975575188378326629011
y[1] (analytic) = 152.5617078434049040494388293971
y[1] (numeric) = 152.5617078436023547890850635299
absolute error = 1.9745073964623413280e-10
relative error = 1.2942352470837900261295209385392e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06384
Order of pole = 1.894
memory used=938.4MB, alloc=4.6MB, time=133.87
x[1] = -0.079945516794280612640501049679472
y[1] (analytic) = 156.43856577949824971393022987893
y[1] (numeric) = 156.43856577969577844423295905551
absolute error = 1.9752873030272917658e-10
relative error = 1.2626600692641732082169577063907e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06338
Order of pole = 1.901
memory used=942.2MB, alloc=4.6MB, time=134.42
x[1] = -0.078992041850220758910734511769425
y[1] (analytic) = 160.23733904284352464179416582099
y[1] (numeric) = 160.23733904304113462168964012391
absolute error = 1.9760997989547430292e-10
relative error = 1.2332330346713898750526661518325e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06294
Order of pole = 1.908
memory used=946.0MB, alloc=4.6MB, time=134.99
x[1] = -0.077982480144745619667452295158787
y[1] (analytic) = 164.41237544346392910530279720374
y[1] (numeric) = 164.41237544366163410663459826653
absolute error = 1.9770500133180106279e-10
relative error = 1.2024946467596375395092855278504e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06247
Order of pole = 1.916
x[1] = -0.076972918439270480424170078548149
y[1] (analytic) = 168.75272675657111372470151025113
y[1] (numeric) = 168.75272675676892411007834710892
absolute error = 1.9781038537683685779e-10
relative error = 1.1721907502104066538487754368788e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06199
Order of pole = 1.923
memory used=949.8MB, alloc=4.6MB, time=135.54
x[1] = -0.075963356733795341180887861937511
y[1] (analytic) = 173.26723682301336746486432595031
y[1] (numeric) = 173.26723682321129488562378578077
absolute error = 1.9792742075945983046e-10
relative error = 1.1423245640007291644216391924990e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.0615
Order of pole = 1.931
memory used=953.7MB, alloc=4.6MB, time=136.08
x[1] = -0.074953795028320201937605645326873
y[1] (analytic) = 177.96534885308272517160435328021
y[1] (numeric) = 177.96534885328078274835730254732
absolute error = 1.9805757675294926711e-10
relative error = 1.1128996629363700050735806587449e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.061
Order of pole = 1.938
memory used=957.5MB, alloc=4.6MB, time=136.64
x[1] = -0.073944233322845062694323428716235
y[1] (analytic) = 182.85715483741366373290979807928
y[1] (numeric) = 182.85715483761186626429808863805
absolute error = 1.9820253138829055877e-10
relative error = 1.0839200225144110113556125884910e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06049
Order of pole = 1.946
memory used=961.3MB, alloc=4.6MB, time=137.17
x[1] = -0.072990758378785208964556890806188
y[1] (analytic) = 187.6647646652698219253922724048
y[1] (numeric) = 187.66476466546817667344731694229
absolute error = 1.9835474805504453749e-10
relative error = 1.0569631886350216772983783329374e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.06
Order of pole = 1.953
x[1] = -0.07198119667331006972127467419555
y[1] (analytic) = 192.96478659269981155872689729773
y[1] (numeric) = 192.96478659289834578496387866508
absolute error = 1.9853422623698136735e-10
relative error = 1.0288624662697512978978008826646e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.05947
Order of pole = 1.961
memory used=965.1MB, alloc=4.6MB, time=137.72
x[1] = -0.070971634967834930477992457584912
y[1] (analytic) = 198.49252982365435377994903483159
y[1] (numeric) = 198.49252982385308878086205262397
absolute error = 1.9873500091301779238e-10
relative error = 1.0012215627942213033427317997570e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.05893
Order of pole = 1.968
memory used=968.9MB, alloc=4.6MB, time=138.27
x[1] = -0.069962073262359791234710240974274
y[1] (analytic) = 204.26122849750349946109941924262
y[1] (numeric) = 204.26122849770245941831354758049
absolute error = 1.9895995721412833787e-10
relative error = 9.7404661020414868285827890783751e-11 %
Correct digits = 12
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.05838
Order of pole = 1.976
memory used=972.7MB, alloc=4.6MB, time=138.81
x[1] = -0.068952511556884651991428024363636
y[1] (analytic) = 210.28509222626039331158878102832
y[1] (numeric) = 210.28509222645960573270273324236
absolute error = 1.9921242111395221404e-10
relative error = 9.4734447889252025361938758484880e-11 %
Correct digits = 12
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.05783
Order of pole = 1.983
memory used=976.5MB, alloc=4.6MB, time=139.36
x[1] = -0.067999036612824798261661486453589
y[1] (analytic) = 216.22234149022863303213901508359
y[1] (numeric) = 216.22234149042811260429045792664
absolute error = 1.9947957215144284305e-10
relative error = 9.2256688544119564369828308656329e-11 %
Correct digits = 12
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.05729
Order of pole = 1.991
memory used=980.4MB, alloc=4.6MB, time=139.91
x[1] = -0.066989474907349659018379269842951
y[1] (analytic) = 222.78712380984018375793459198782
y[1] (numeric) = 222.78712381003998082385718108043
absolute error = 1.9979706592258909261e-10
relative error = 8.9680706185302593473291570534254e-11 %
Correct digits = 12
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.05672
Order of pole = 1.998
x[1] = -0.065979913201874519775097053232313
y[1] (analytic) = 229.65545765216625010091660342571
y[1] (numeric) = 229.65545765236640531016977298554
absolute error = 2.0015520925316955983e-10
relative error = 8.7154562447334712418941369599903e-11 %
Correct digits = 12
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.05614
Order of pole = 2.006
memory used=984.2MB, alloc=4.6MB, time=140.47
x[1] = -0.064970351496399380531814836621675
y[1] (analytic) = 236.8463487887585279895729721816
y[1] (numeric) = 236.84634878895908794067224018446
absolute error = 2.0055995109926800286e-10
relative error = 8.4679351032827578216382689071923e-11 %
Correct digits = 12
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.05554
Order of pole = 2.014
memory used=988.0MB, alloc=4.6MB, time=141.02
x[1] = -0.063960789790924241288532620011037
y[1] (analytic) = 244.38031395898544488330536405626
y[1] (numeric) = 244.38031395918646310683918755969
absolute error = 2.0101822353382350343e-10
relative error = 8.2256307915031389220969984293214e-11 %
Correct digits = 12
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.05494
Order of pole = 2.021
memory used=991.8MB, alloc=4.6MB, time=141.57
x[1] = -0.062951228085449102045250403400399
y[1] (analytic) = 252.2795273304949070046374405483
y[1] (numeric) = 252.27952733069644512806022248928
absolute error = 2.0153812342278194098e-10
relative error = 7.9886832497018288848317415838025e-11 %
Correct digits = 12
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.05433
Order of pole = 2.029
memory used=995.6MB, alloc=4.6MB, time=142.12
x[1] = -0.061997753141389248315483865490352
y[1] (analytic) = 260.09686980428763089765639231733
y[1] (numeric) = 260.0968698044897251486904817993
absolute error = 2.0209425103408948197e-10
relative error = 7.7699609067251454298076408020010e-11 %
Correct digits = 12
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.05374
Order of pole = 2.036
x[1] = -0.060988191435914109072201648879714
y[1] (analytic) = 268.77677979481921978929870006009
y[1] (numeric) = 268.77677979502198239259595846041
absolute error = 2.0276260329725840032e-10
relative error = 7.5439032885223491619071069978034e-11 %
Correct digits = 12
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
memory used=999.4MB, alloc=4.6MB, time=142.66
Complex estimate of poles used
Radius of convergence = 0.05311
Order of pole = 2.043
x[1] = -0.059978629730438969828919432269076
y[1] (analytic) = 277.89850736143295026878983557912
y[1] (numeric) = 277.89850736163647577351010870421
absolute error = 2.0352550472027312509e-10
relative error = 7.3237350805763489536856595969651e-11 %
Correct digits = 12
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.05247
Order of pole = 2.051
memory used=1003.2MB, alloc=4.6MB, time=143.21
x[1] = -0.058969068024963830585637215658438
y[1] (analytic) = 287.49255169380418721333954826109
y[1] (numeric) = 287.49255169400858548285364384465
absolute error = 2.0439826951409558356e-10
relative error = 7.1096892183763873802244260844907e-11 %
Correct digits = 12
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.05182
Order of pole = 2.058
memory used=1007.1MB, alloc=4.6MB, time=143.76
x[1] = -0.0579595063194886913423549990478
y[1] (analytic) = 297.59208960201558010432666355877
y[1] (numeric) = 297.59208960222097912200938228304
absolute error = 2.0539901768271872427e-10
relative error = 6.9020321728782795037470109186201e-11 %
Correct digits = 12
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.05116
Order of pole = 2.066
memory used=1010.9MB, alloc=4.6MB, time=144.30
x[1] = -0.056949944614013552099072782437162
y[1] (analytic) = 308.23326261267283138214464419981
y[1] (numeric) = 308.23326261287938063302533828664
absolute error = 2.0654925088069408683e-10
relative error = 6.7010694799751288902596182531120e-11 %
Correct digits = 12
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.05049
Order of pole = 2.073
memory used=1014.7MB, alloc=4.6MB, time=144.84
x[1] = -0.055996469669953698369306244527115
y[1] (analytic) = 318.81608381846221885664358432358
y[1] (numeric) = 318.81608381867001470037507472906
absolute error = 2.0779584373149040548e-10
relative error = 6.5177340252950319402160932286888e-11 %
Correct digits = 12
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.04985
Order of pole = 2.08
x[1] = -0.054986907964478559126024027916477
y[1] (analytic) = 330.62659834726656712820852459782
y[1] (numeric) = 330.62659834747588158479421900274
absolute error = 2.0931445658569440492e-10
relative error = 6.3308414275201612171324052154896e-11 %
Correct digits = 12
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.04916
Order of pole = 2.088
memory used=1018.5MB, alloc=4.6MB, time=145.39
x[1] = -0.053977346259003419882741811305839
y[1] (analytic) = 343.10567969103583813270424507318
y[1] (numeric) = 343.10567969124691120575278521932
absolute error = 2.1107307304854014614e-10
relative error = 6.1518385017295519212326402634751e-11 %
Correct digits = 12
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.04846
Order of pole = 2.095
memory used=1022.3MB, alloc=4.6MB, time=145.93
x[1] = -0.052967784553528280639459594695201
y[1] (analytic) = 356.30475195048160567937606417646
y[1] (numeric) = 356.30475195069472088967581347336
absolute error = 2.1311521029974929690e-10
relative error = 5.9812620834584756348792492936438e-11 %
Correct digits = 12
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.04775
Order of pole = 2.102
memory used=1026.1MB, alloc=4.6MB, time=146.45
x[1] = -0.051958222848053141396177378084563
y[1] (analytic) = 370.28027959739132388856947492179
y[1] (numeric) = 370.28027959760681721843106695758
absolute error = 2.1549332986159203579e-10
relative error = 5.8197355283381452943777544486141e-11 %
Correct digits = 12
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.04703
Order of pole = 2.11
memory used=1030.0MB, alloc=4.6MB, time=146.99
x[1] = -0.050948661142578002152895161473925
y[1] (analytic) = 385.09437207203415712894799493371
y[1] (numeric) = 385.0943720722524280304539093207
absolute error = 2.1827090150591438699e-10
relative error = 5.6679847158370192132408533541469e-11 %
Correct digits = 12
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.04631
Order of pole = 2.117
memory used=1033.8MB, alloc=4.6MB, time=147.52
x[1] = -0.049995186198518148423128623563878
y[1] (analytic) = 399.91703432790691376014187301725
y[1] (numeric) = 399.91703432812824396151550321127
absolute error = 2.2133020137363019402e-10
relative error = 5.5344029479912899884608194160535e-11 %
Correct digits = 12
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.04561
Order of pole = 2.123
x[1] = -0.04898562449304300917984640695324
y[1] (analytic) = 416.56401713974571580697228729443
y[1] (numeric) = 416.56401713997083608562405874692
absolute error = 2.2512027865177145249e-10
relative error = 5.4042180646690330986410079644203e-11 %
Correct digits = 12
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.04486
Order of pole = 2.13
memory used=1037.6MB, alloc=4.6MB, time=148.05
x[1] = -0.047976062787567869936564190342602
y[1] (analytic) = 434.2723197259122611332539243534
y[1] (numeric) = 434.27231972614184992480748120128
absolute error = 2.2958879155355684788e-10
relative error = 5.2867470737821858648816155437626e-11 %
Correct digits = 12
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.04411
Order of pole = 2.137
memory used=1041.4MB, alloc=4.6MB, time=148.58
x[1] = -0.046966501082092730693281973731964
y[1] (analytic) = 453.13410167328611906644785701683
y[1] (numeric) = 453.13410167352099449539295439489
absolute error = 2.3487542894509737806e-10
relative error = 5.1833536270559644622519671074814e-11 %
Correct digits = 12
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.04334
Order of pole = 2.144
memory used=1045.2MB, alloc=4.6MB, time=149.12
x[1] = -0.045956939376617591449999757121326
y[1] (analytic) = 473.2517458129674266893276201304
y[1] (numeric) = 473.25174581320857925992191829386
absolute error = 2.4115257059429816346e-10
relative error = 5.0956509453554860072355590501659e-11 %
Correct digits = 12
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.04257
Order of pole = 2.151
memory used=1049.0MB, alloc=4.6MB, time=149.65
x[1] = -0.044947377671142452206717540510688
y[1] (analytic) = 494.73924967789846116076989403805
y[1] (numeric) = 494.7392496781470950611148146294
absolute error = 2.4863390034492059135e-10
relative error = 5.0255543805508552494989316056614e-11 %
Correct digits = 12
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.04178
Order of pole = 2.157
x[1] = -0.043993902727082598476951002600641
y[1] (analytic) = 516.40529852212245528414044456384
y[1] (numeric) = 516.40529852237949963305922870846
absolute error = 2.5704434891878414462e-10
relative error = 4.9775699369159849506209014031375e-11 %
Correct digits = 12
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.04104
Order of pole = 2.164
memory used=1052.8MB, alloc=4.6MB, time=150.18
x[1] = -0.042984341021607459233668785990003
y[1] (analytic) = 540.93423157900958112324332211367
y[1] (numeric) = 540.93423157927727025966759789264
absolute error = 2.6768913642427577897e-10
relative error = 4.9486447852057730942345981773095e-11 %
Correct digits = 12
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.04023
Order of pole = 2.17
memory used=1056.7MB, alloc=4.6MB, time=150.72
x[1] = -0.041974779316132319990386569379365
y[1] (analytic) = 567.25290975079558578163179293404
y[1] (numeric) = 567.25290975107611626623243360758
absolute error = 2.8053048460064067354e-10
relative error = 4.9454216942471527414071295617482e-11 %
Correct digits = 12
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.03942
Order of pole = 2.176
memory used=1060.5MB, alloc=4.6MB, time=151.25
x[1] = -0.040965217610657180747104352768727
y[1] (analytic) = 595.53974537534077612499725485232
y[1] (numeric) = 595.53974537563686763668271097187
absolute error = 2.9609151168545611955e-10
relative error = 4.9718178171104856104501651262119e-11 %
Correct digits = 12
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.0386
Order of pole = 2.182
memory used=1064.3MB, alloc=4.6MB, time=151.77
x[1] = -0.039955655905182041503822136158089
y[1] (analytic) = 625.99594436187115196531547547521
y[1] (numeric) = 625.99594436218618940189821338501
absolute error = 3.1503743658273790980e-10
relative error = 5.0325795146146086717925497477454e-11 %
Correct digits = 12
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.03777
Order of pole = 2.188
memory used=1068.1MB, alloc=4.6MB, time=152.32
x[1] = -0.038946094199706902260539919547451
y[1] (analytic) = 658.84909127528288084090977376464
y[1] (numeric) = 658.84909127562110003780316457582
absolute error = 3.3821919689339081118e-10
relative error = 5.1334850631534794890706322931652e-11 %
Correct digits = 12
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.03693
Order of pole = 2.194
x[1] = -0.037992619255647048530773381637404
y[1] (analytic) = 692.31024527409128757256905387173
y[1] (numeric) = 692.31024527445627332385359128445
absolute error = 3.6498575128453741272e-10
relative error = 5.2719969663317140289025515112447e-11 %
Correct digits = 12
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.03613
Order of pole = 2.2
memory used=1071.9MB, alloc=4.6MB, time=152.86
x[1] = -0.036983057550171909287491165026766
y[1] (analytic) = 730.59545107033589513632608901734
y[1] (numeric) = 730.595451070735724941112460744
absolute error = 3.9982980478637172666e-10
relative error = 5.4726566419297251590964427963594e-11 %
Correct digits = 12
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.03528
Order of pole = 2.205
memory used=1075.7MB, alloc=4.6MB, time=153.40
x[1] = -0.035973495844696770044208948416128
y[1] (analytic) = 772.14567660258370128207382105382
y[1] (numeric) = 772.14567660302686002091782444202
absolute error = 4.4315873884400338820e-10
relative error = 5.7393151612774376389736062990489e-11 %
Correct digits = 12
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.03441
Order of pole = 2.211
memory used=1079.5MB, alloc=4.6MB, time=153.93
x[1] = -0.03496393413922163080092673180549
y[1] (analytic) = 817.34291120659438212005006861721
y[1] (numeric) = 817.34291120709175012409993066438
absolute error = 4.9736800404986204717e-10
relative error = 6.0851815955145124393039225399008e-11 %
Correct digits = 12
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.03354
Order of pole = 2.216
memory used=1083.4MB, alloc=4.6MB, time=154.49
x[1] = -0.033954372433746491557644515194852
y[1] (analytic) = 866.62666919953299703049437798462
y[1] (numeric) = 866.6266692000986251717528651547
absolute error = 5.6562814125848717008e-10
relative error = 6.5267797698971617643057080234496e-11 %
Correct digits = 12
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.03266
Order of pole = 2.221
memory used=1087.2MB, alloc=4.6MB, time=155.04
x[1] = -0.032944810728271352314362298584214
y[1] (analytic) = 920.50470388502915130876720488275
y[1] (numeric) = 920.50470388568132092602060400713
absolute error = 6.5216961725339912438e-10
relative error = 7.0849134665025565778615978289874e-11 %
Correct digits = 12
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.03177
Order of pole = 2.225
x[1] = -0.031991335784211498584595760674167
y[1] (analytic) = 976.13776067056271787225038907859
y[1] (numeric) = 976.13776067131851439740368072971
absolute error = 7.5579652515329165112e-10
relative error = 7.7427239843082542699173912126874e-11 %
Correct digits = 12
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.03092
Order of pole = 2.23
memory used=1091.0MB, alloc=4.6MB, time=155.59
x[1] = -0.030981774078736359341313544063529
y[1] (analytic) = 1040.7231589043586891135921200716
y[1] (numeric) = 1040.7231589052546995013798419051
absolute error = 8.960103877877218335e-10
relative error = 8.6094979257597572138715832390132e-11 %
Correct digits = 12
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.03002
Order of pole = 2.234
memory used=1094.8MB, alloc=4.6MB, time=156.14
x[1] = -0.029972212373261220098031327452891
y[1] (analytic) = 1111.93454244028218108995739738
y[1] (numeric) = 1111.9345424413600307584197926105
absolute error = 1.0778496684623952305e-09
relative error = 9.6934633049254558896435052091212e-11 %
Correct digits = 12
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.0291
Order of pole = 2.238
memory used=1098.6MB, alloc=4.6MB, time=156.69
x[1] = -0.028962650667786080854749110842253
y[1] (analytic) = 1190.709890391654721660132794448
y[1] (numeric) = 1190.7098903929704562073294874056
absolute error = 1.3157345471966929576e-09
relative error = 1.1050000993641821949165989891947e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.02818
Order of pole = 2.242
memory used=1102.4MB, alloc=4.6MB, time=157.23
x[1] = -0.027953088962310941611466894231615
y[1] (analytic) = 1278.1591521858259518943730161035
y[1] (numeric) = 1278.1591521874558022987117007153
absolute error = 1.6298504043386846118e-09
relative error = 1.2751545075990097136299451309231e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.02725
Order of pole = 2.245
x[1] = -0.026999614018251087881700356321568
y[1] (analytic) = 1369.9021269667463519621475364314
y[1] (numeric) = 1369.9021269687684853837457493079
absolute error = 2.0221334215982128765e-09
relative error = 1.4761152507118481855678425030600e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.02637
Order of pole = 2.248
memory used=1106.2MB, alloc=4.6MB, time=157.77
x[1] = -0.02599005231277594863841813971093
y[1] (analytic) = 1478.2341422237375532672356556055
y[1] (numeric) = 1478.2341422263149814203946848901
absolute error = 2.5774281531590292846e-09
relative error = 1.7435858633881584705098719221200e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.02543
Order of pole = 2.251
memory used=1110.1MB, alloc=4.6MB, time=158.30
x[1] = -0.024980490607300809395135923100292
y[1] (analytic) = 1599.9362304292036115466170347669
y[1] (numeric) = 1599.9362304325378031842159073733
absolute error = 3.3341916375988726064e-09
relative error = 2.0839528314853102144162997328817e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.02448
Order of pole = 2.254
memory used=1113.9MB, alloc=4.6MB, time=158.84
x[1] = -0.023970928901825670151853706489654
y[1] (analytic) = 1737.3011852963548781236331483713
y[1] (numeric) = 1737.3011853007332817241466476431
absolute error = 4.3784036005134992718e-09
relative error = 2.5202328977670132415981089603539e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.02352
Order of pole = 2.256
memory used=1117.7MB, alloc=4.6MB, time=159.36
x[1] = -0.022961367196350530908571489879016
y[1] (analytic) = 1893.1348706878764919120711363255
y[1] (numeric) = 1893.1348706937152482626621664371
absolute error = 5.8387563505910301116e-09
relative error = 3.0841734738473755342965086491656e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.02256
Order of pole = 2.258
memory used=1121.5MB, alloc=4.6MB, time=159.91
x[1] = -0.021951805490875391665289273268378
y[1] (analytic) = 2070.9003195233972777971771526883
y[1] (numeric) = 2070.9003195313084380093007172164
absolute error = 7.9111602121235645281e-09
relative error = 3.8201550009631853264650523897988e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.02159
Order of pole = 2.26
x[1] = -0.020998330546815537935522735358331
y[1] (analytic) = 2262.802386164427268750783403917
y[1] (numeric) = 2262.8023861751294957145021326702
absolute error = 1.07022269637187287532e-08
relative error = 4.7296339393823884550015432018103e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.02067
Order of pole = 2.261
memory used=1125.3MB, alloc=4.6MB, time=160.46
x[1] = -0.019988768841340398692240518747693
y[1] (analytic) = 2496.5617364713684775305712747712
y[1] (numeric) = 2496.5617364863608440664837008547
absolute error = 1.49923665359124260835e-08
relative error = 6.0052056061319692755555083088328e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.01969
Order of pole = 2.263
memory used=1129.1MB, alloc=4.6MB, time=161.00
x[1] = -0.018979207135865259448958302137055
y[1] (analytic) = 2768.4703074456209820276309498595
y[1] (numeric) = 2768.4703074670230964718688812886
absolute error = 2.14021144442379314291e-08
relative error = 7.7306642540750158865522512980249e-10 %
Correct digits = 11
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.0187
Order of pole = 2.264
memory used=1133.0MB, alloc=4.6MB, time=161.53
x[1] = -0.017969645430390120205676085526417
y[1] (analytic) = 3087.2948973848684686239560523958
y[1] (numeric) = 3087.2948974160511786029562664261
absolute error = 3.11827099790002140303e-08
relative error = 1.0100334116256246287050485152606e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.01771
Order of pole = 2.265
memory used=1136.8MB, alloc=4.6MB, time=162.07
x[1] = -0.016960083724914980962393868915779
y[1] (analytic) = 3464.4699899710526285558681525811
y[1] (numeric) = 3464.4699900175127980750203016584
absolute error = 4.64601695191521490773e-08
relative error = 1.3410469611122348594040902918684e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.01672
Order of pole = 2.267
memory used=1140.6MB, alloc=4.6MB, time=162.62
x[1] = -0.015950522019439841719111652305141
y[1] (analytic) = 3915.1331819011002112201268952042
y[1] (numeric) = 3915.1331819720554738528413761709
absolute error = 7.09552626327144809667e-08
relative error = 1.8123333060731336004496007533039e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.01572
Order of pole = 2.269
x[1] = -0.014997047075379987989345114395094
y[1] (analytic) = 4426.5137001788866687418459921419
y[1] (numeric) = 4426.5137002874434603108685075104
absolute error = 1.085567915690225153685e-07
relative error = 2.4524219040513860720875465683572e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.01477
Order of pole = 2.273
memory used=1144.4MB, alloc=4.6MB, time=163.16
x[1] = -0.013987485369904848746062897784456
y[1] (analytic) = 5085.1832529220761727778672995333
y[1] (numeric) = 5085.1832530975766420164925547221
absolute error = 1.755004692386252551888e-07
relative error = 3.4512122869471459711886553847239e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.01377
Order of pole = 2.279
memory used=1148.2MB, alloc=4.6MB, time=163.71
x[1] = -0.012977923664429709502780681173818
y[1] (analytic) = 5902.2643117777399688472866327331
y[1] (numeric) = 5902.2643120716341557423125188617
absolute error = 2.938941868950258861286e-07
relative error = 4.9793464231781591390032838515534e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.01277
Order of pole = 2.29
memory used=1152.0MB, alloc=4.6MB, time=164.23
x[1] = -0.01196836195895457025949846456318
y[1] (analytic) = 6932.8084966312723310215103846892
y[1] (numeric) = 6932.8084971437774033598919699485
absolute error = 5.125050723383815852593e-07
relative error = 7.3924596732682493637429097658562e-09 %
Correct digits = 10
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.01176
Order of pole = 2.307
memory used=1155.8MB, alloc=4.6MB, time=164.75
x[1] = -0.010958800253479431016216247952542
y[1] (analytic) = 8257.9586099704675692846833692938
y[1] (numeric) = 8257.9586109073366163287978158851
absolute error = 9.368690470441144465913e-07
relative error = 1.1345044111906306998107742260447e-08 %
Correct digits = 9
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.01076
Order of pole = 2.338
x[1] = -0.0099492385480042917729340313419044
y[1] (analytic) = 10001.265391591874186090452714199
y[1] (numeric) = 10001.265393402289628435625880171
absolute error = 1.810415442345173165972e-06
relative error = 1.8101863828823107237630458490686e-08 %
Correct digits = 9
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
memory used=1159.7MB, alloc=4.6MB, time=165.30
Complex estimate of poles used
Radius of convergence = 0.009769
Order of pole = 2.391
x[1] = -0.0089957636039444380431674934318642
y[1] (analytic) = 12206.47057217024972624031030186
y[1] (numeric) = 12206.470575753958714304884383375
absolute error = 3.583708988064574081515e-06
relative error = 2.9359092514712124985591315557204e-08 %
Correct digits = 9
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.008841
Order of pole = 2.48
memory used=1163.5MB, alloc=4.6MB, time=165.84
x[1] = -0.0079862018984692987998852768212334
y[1] (analytic) = 15437.001260891166645359831140635
y[1] (numeric) = 15437.001268871399877568419066684
absolute error = 7.980233232208587926049e-06
relative error = 5.1695488633703039382855215354574e-08 %
Correct digits = 9
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.00788
Order of pole = 2.649
memory used=1167.3MB, alloc=4.6MB, time=166.39
x[1] = -0.0069766401929941595566030602106026
y[1] (analytic) = 20131.45502628255218336119691019
y[1] (numeric) = 20131.45504587961068686997176213
absolute error = 1.9597058503508774851940e-05
relative error = 9.7345464984641707314329448754671e-08 %
Correct digits = 9
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.006952
Order of pole = 2.947
memory used=1171.1MB, alloc=4.6MB, time=166.95
x[1] = -0.0059670784875190203133208435999718
y[1] (analytic) = 27317.906861706397836577417237253
y[1] (numeric) = 27317.906916091730737567894923481
absolute error = 5.4385332900990477686228e-05
relative error = 1.9908308925830098594213035343691e-07 %
Correct digits = 8
h = 5.6086761415285513515678700590612e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.006047
Order of pole = 3.324
memory used=1174.9MB, alloc=4.6MB, time=167.49
x[1] = -0.0049795954993252229870539369645572
y[1] (analytic) = 38765.142079094109032278768046451
y[1] (numeric) = 38765.142234486244765109293567415
absolute error = 0.000155392135732830525520964
relative error = 4.0085532361980662626083051965332e-07 %
Correct digits = 8
h = 5.1529449402108794338504436731396e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.005101
Order of pole = 3.379
memory used=1178.7MB, alloc=4.6MB, time=168.02
x[1] = -0.0039683862744100747690996150471502
y[1] (analytic) = 59708.302410270789563739860070789
y[1] (numeric) = 59708.30273697415991765637145798
absolute error = 0.000326703370353916511387191
relative error = 5.4716573267994681828156997010326e-07 %
Correct digits = 8
h = 4.1305244636385139074117098696819e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.004091
Order of pole = 3.251
memory used=1182.5MB, alloc=4.6MB, time=168.54
x[1] = -0.0029872653798475218072270635215003
y[1] (analytic) = 100768.31355261154516439512693597
y[1] (numeric) = 100768.31412692225327964955599918
absolute error = 0.00057431070811525442906321
relative error = 5.6993184451321047392628245319354e-07 %
Correct digits = 8
h = 3.2109752662295522621505388630047e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.00318
Order of pole = 3.549
memory used=1186.4MB, alloc=4.6MB, time=169.06
memory used=1190.2MB, alloc=4.6MB, time=169.57
x[1] = -0.0019909488620232334324614993653969
y[1] (analytic) = 201455.41987068549813626134147568
y[1] (numeric) = 201455.42063457253075364031068529
absolute error = 0.00076388703261737896920961
relative error = 3.7918415553561133827360406473452e-07 %
Correct digits = 8
h = 2.2717588948239029488133004927124e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.002251
Order of pole = 3.568
memory used=1194.0MB, alloc=4.6MB, time=170.08
memory used=1197.8MB, alloc=4.6MB, time=170.58
memory used=1201.6MB, alloc=4.6MB, time=171.10
x[1] = -0.00098605274708842219572901243298564
y[1] (analytic) = 507022.25312526375938679930265307
y[1] (numeric) = 507022.25297512389176758376886444
absolute error = 0.00015013986761921553378863
relative error = 2.9612086391427541769426255094814e-08 %
Correct digits = 9
h = 1.4299344588045407049390830255255e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.00142
Order of pole = 3.605
memory used=1205.4MB, alloc=4.6MB, time=171.60
memory used=1209.2MB, alloc=4.6MB, time=172.11
memory used=1213.1MB, alloc=4.6MB, time=172.63
memory used=1216.9MB, alloc=4.6MB, time=173.16
memory used=1220.7MB, alloc=4.6MB, time=173.70
x[1] = 1.97108256796162643814467872037e-07
y[1] (analytic) = 999999.96114833661222980957820326
y[1] (numeric) = 999999.96139774330453351609286562
absolute error = 0.00024940669230370651466236
relative error = 2.4940670199357174717052201190995e-08 %
Correct digits = 9
h = 1.0122020828458496893887166015518e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.001012
Order of pole = 3.633
memory used=1224.5MB, alloc=4.6MB, time=174.26
memory used=1228.3MB, alloc=4.6MB, time=174.81
memory used=1232.1MB, alloc=4.6MB, time=175.37
memory used=1236.0MB, alloc=4.6MB, time=175.91
x[1] = 0.0010022763857492059211042999038735
y[1] (analytic) = 498863.10260506791600097672258426
y[1] (numeric) = 498863.10292142131301806183470965
absolute error = 0.00031635339701708511212539
relative error = 6.3414871808535173811831712964620e-08 %
Correct digits = 9
h = 1.0122012740572090357450629937838e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.001431
Order of pole = 3.594
memory used=1239.8MB, alloc=4.6MB, time=176.45
memory used=1243.6MB, alloc=4.6MB, time=176.99
memory used=1247.4MB, alloc=4.6MB, time=177.52
memory used=1251.2MB, alloc=4.6MB, time=178.06
memory used=1255.0MB, alloc=4.6MB, time=178.56
x[1] = 0.0020043556470658428664919122677157
y[1] (analytic) = 199304.76280724253053925510867704
y[1] (numeric) = 199304.76304418751355848853644218
absolute error = 0.00023694498301923342776514
relative error = 1.1888576052163620961522491218924e-07 %
Correct digits = 8
h = 1.0122012740572090357450629937838e-05
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 0.002263
Order of pole = 3.573
memory used=1258.8MB, alloc=4.6MB, time=179.12
memory used=1262.7MB, alloc=4.6MB, time=179.66
Finished!
Maximum Time Reached before Solution Completed!
diff ( y , x , 1 ) = m1 * 2.0 * x / (x * x + 0.000001) /( x * x + 0.000001);
Iterations = 7290
Total Elapsed Time = 3 Minutes 0 Seconds
Elapsed Time(since restart) = 2 Minutes 59 Seconds
Expected Time Remaining = 1 Minutes 29 Seconds
Optimized Time Remaining = 1 Minutes 29 Seconds
Expected Total Time = 4 Minutes 29 Seconds
Time to Timeout Unknown
Percent Done = 66.75 %
> quit
memory used=1266.1MB, alloc=4.6MB, time=180.12