|\^/| Maple 12 (IBM INTEL LINUX)
._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2008
\ MAPLE / All rights reserved. Maple is a trademark of
<____ ____> Waterloo Maple Inc.
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> #BEGIN OUTFILE1
> # Begin Function number 3
> check_sign := proc( x0 ,xf)
> local ret;
> if (xf > x0) then # if number 1
> ret := 1.0;
> else
> ret := -1.0;
> fi;# end if 1;
> ret;;
> end;
check_sign := proc(x0, xf)
local ret;
if x0 < xf then ret := 1.0 else ret := -1.0 end if; ret
end proc
> # End Function number 3
> # Begin Function number 4
> est_size_answer := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_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_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> 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_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D1,
> array_const_0D2,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_a1,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local min_size;
> min_size := glob_large_float;
> if (omniabs(array_y[1]) < min_size) then # if number 1
> min_size := omniabs(array_y[1]);
> omniout_float(ALWAYS,"min_size",32,min_size,32,"");
> fi;# end if 1;
> if (min_size < 1.0) then # if number 1
> min_size := 1.0;
> omniout_float(ALWAYS,"min_size",32,min_size,32,"");
> fi;# end if 1;
> min_size;
> end;
est_size_answer := proc()
local min_size;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_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_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, 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_max_minutes, array_const_1,
array_const_0D0, array_const_0D1, array_const_0D2, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_a1, array_tmp3, array_tmp4, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
min_size := glob_large_float;
if omniabs(array_y[1]) < min_size then
min_size := omniabs(array_y[1]);
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")
end if;
if min_size < 1.0 then
min_size := 1.0;
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")
end if;
min_size
end proc
> # End Function number 4
> # Begin Function number 5
> test_suggested_h := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_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_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> 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_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D1,
> array_const_0D2,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_a1,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local max_value3,hn_div_ho,hn_div_ho_2,hn_div_ho_3,value3,no_terms;
> max_value3 := 0.0;
> no_terms := glob_max_terms;
> hn_div_ho := 0.5;
> hn_div_ho_2 := 0.25;
> hn_div_ho_3 := 0.125;
> omniout_float(ALWAYS,"hn_div_ho",32,hn_div_ho,32,"");
> omniout_float(ALWAYS,"hn_div_ho_2",32,hn_div_ho_2,32,"");
> omniout_float(ALWAYS,"hn_div_ho_3",32,hn_div_ho_3,32,"");
> value3 := omniabs(array_y[no_terms-3] + array_y[no_terms - 2] * hn_div_ho + array_y[no_terms - 1] * hn_div_ho_2 + array_y[no_terms] * hn_div_ho_3);
> if (value3 > max_value3) then # if number 1
> max_value3 := value3;
> omniout_float(ALWAYS,"value3",32,value3,32,"");
> fi;# end if 1;
> omniout_float(ALWAYS,"max_value3",32,max_value3,32,"");
> max_value3;
> end;
test_suggested_h := proc()
local max_value3, hn_div_ho, hn_div_ho_2, hn_div_ho_3, value3, no_terms;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_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_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, 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_max_minutes, array_const_1,
array_const_0D0, array_const_0D1, array_const_0D2, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_a1, array_tmp3, array_tmp4, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
max_value3 := 0.;
no_terms := glob_max_terms;
hn_div_ho := 0.5;
hn_div_ho_2 := 0.25;
hn_div_ho_3 := 0.125;
omniout_float(ALWAYS, "hn_div_ho", 32, hn_div_ho, 32, "");
omniout_float(ALWAYS, "hn_div_ho_2", 32, hn_div_ho_2, 32, "");
omniout_float(ALWAYS, "hn_div_ho_3", 32, hn_div_ho_3, 32, "");
value3 := omniabs(array_y[no_terms - 3]
+ array_y[no_terms - 2]*hn_div_ho
+ array_y[no_terms - 1]*hn_div_ho_2
+ array_y[no_terms]*hn_div_ho_3);
if max_value3 < value3 then
max_value3 := value3;
omniout_float(ALWAYS, "value3", 32, value3, 32, "")
end if;
omniout_float(ALWAYS, "max_value3", 32, max_value3, 32, "");
max_value3
end proc
> # End Function number 5
> # Begin Function number 6
> reached_interval := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_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_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> 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_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D1,
> array_const_0D2,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_a1,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local ret;
> if (glob_check_sign * (array_x[1]) >= glob_check_sign * glob_next_display) then # if number 1
> ret := true;
> else
> ret := false;
> fi;# end if 1;
> return(ret);
> end;
reached_interval := proc()
local ret;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_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_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, 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_max_minutes, array_const_1,
array_const_0D0, array_const_0D1, array_const_0D2, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_a1, array_tmp3, array_tmp4, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
if glob_check_sign*glob_next_display <= glob_check_sign*array_x[1] then
ret := true
else ret := false
end if;
return ret
end proc
> # End Function number 6
> # Begin Function number 7
> display_alot := proc(iter)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_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_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> 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_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D1,
> array_const_0D2,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_a1,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
> #TOP DISPLAY ALOT
> if (reached_interval()) then # if number 1
> if (iter >= 0) then # if number 2
> ind_var := array_x[1];
> omniout_float(ALWAYS,"x[1] ",33,ind_var,20," ");
> analytic_val_y := exact_soln_y(ind_var);
> omniout_float(ALWAYS,"y[1] (analytic) ",33,analytic_val_y,20," ");
> term_no := 1;
> numeric_val := array_y[term_no];
> abserr := omniabs(numeric_val - analytic_val_y);
> omniout_float(ALWAYS,"y[1] (numeric) ",33,numeric_val,20," ");
> if (omniabs(analytic_val_y) <> 0.0) then # if number 3
> relerr := abserr*100.0/omniabs(analytic_val_y);
> if (relerr > 0.0000000000000000000000000000000001) then # if number 4
> glob_good_digits := -trunc(log10(relerr)) + 2;
> else
> glob_good_digits := Digits;
> fi;# end if 4;
> else
> relerr := -1.0 ;
> glob_good_digits := -1;
> fi;# end if 3;
> if (glob_iter = 1) then # if number 3
> array_1st_rel_error[1] := relerr;
> else
> array_last_rel_error[1] := relerr;
> fi;# end if 3;
> omniout_float(ALWAYS,"absolute error ",4,abserr,20," ");
> omniout_float(ALWAYS,"relative error ",4,relerr,20,"%");
> omniout_int(INFO,"Correct digits ",32,glob_good_digits,4," ")
> ;
> omniout_float(ALWAYS,"h ",4,glob_h,20," ");
> fi;# end if 2;
> #BOTTOM DISPLAY ALOT
> fi;# end if 1;
> end;
display_alot := proc(iter)
local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_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_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, 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_max_minutes, array_const_1,
array_const_0D0, array_const_0D1, array_const_0D2, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_a1, array_tmp3, array_tmp4, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
if reached_interval() then
if 0 <= iter then
ind_var := array_x[1];
omniout_float(ALWAYS, "x[1] ", 33,
ind_var, 20, " ");
analytic_val_y := exact_soln_y(ind_var);
omniout_float(ALWAYS, "y[1] (analytic) ", 33,
analytic_val_y, 20, " ");
term_no := 1;
numeric_val := array_y[term_no];
abserr := omniabs(numeric_val - analytic_val_y);
omniout_float(ALWAYS, "y[1] (numeric) ", 33,
numeric_val, 20, " ");
if omniabs(analytic_val_y) <> 0. then
relerr := abserr*100.0/omniabs(analytic_val_y);
if 0.1*10^(-33) < relerr then
glob_good_digits := -trunc(log10(relerr)) + 2
else glob_good_digits := Digits
end if
else relerr := -1.0; glob_good_digits := -1
end if;
if glob_iter = 1 then array_1st_rel_error[1] := relerr
else array_last_rel_error[1] := relerr
end if;
omniout_float(ALWAYS, "absolute error ", 4,
abserr, 20, " ");
omniout_float(ALWAYS, "relative error ", 4,
relerr, 20, "%");
omniout_int(INFO, "Correct digits ", 32,
glob_good_digits, 4, " ");
omniout_float(ALWAYS, "h ", 4,
glob_h, 20, " ")
end if
end if
end proc
> # End Function number 7
> # Begin Function number 8
> adjust_for_pole := proc(h_param)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_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_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> 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_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D1,
> array_const_0D2,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_a1,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local hnew, sz2, tmp;
> #TOP ADJUST FOR POLE
> hnew := h_param;
> glob_normmax := glob_small_float;
> if (omniabs(array_y_higher[1,1]) > glob_small_float) then # if number 1
> tmp := omniabs(array_y_higher[1,1]);
> if (tmp < glob_normmax) then # if number 2
> glob_normmax := tmp;
> fi;# end if 2
> fi;# end if 1;
> if (glob_look_poles and (omniabs(array_pole[1]) > glob_small_float) and (array_pole[1] <> glob_large_float)) then # if number 1
> sz2 := array_pole[1]/10.0;
> if (sz2 < hnew) then # if number 2
> omniout_float(INFO,"glob_h adjusted to ",20,h_param,12,"due to singularity.");
> omniout_str(INFO,"Reached Optimal");
> return(hnew);
> fi;# end if 2
> fi;# end if 1;
> if ( not glob_reached_optimal_h) then # if number 1
> glob_reached_optimal_h := true;
> glob_curr_iter_when_opt := glob_current_iter;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> glob_optimal_start := array_x[1];
> fi;# end if 1;
> hnew := sz2;
> ;#END block
> return(hnew);
> #BOTTOM ADJUST FOR POLE
> end;
adjust_for_pole := proc(h_param)
local hnew, sz2, tmp;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_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_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, 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_max_minutes, array_const_1,
array_const_0D0, array_const_0D1, array_const_0D2, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_a1, array_tmp3, array_tmp4, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
hnew := h_param;
glob_normmax := glob_small_float;
if glob_small_float < omniabs(array_y_higher[1, 1]) then
tmp := omniabs(array_y_higher[1, 1]);
if tmp < glob_normmax then glob_normmax := tmp end if
end if;
if glob_look_poles and glob_small_float < omniabs(array_pole[1]) and
array_pole[1] <> glob_large_float then
sz2 := array_pole[1]/10.0;
if sz2 < hnew then
omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12,
"due to singularity.");
omniout_str(INFO, "Reached Optimal");
return hnew
end if
end if;
if not glob_reached_optimal_h then
glob_reached_optimal_h := true;
glob_curr_iter_when_opt := glob_current_iter;
glob_optimal_clock_start_sec := elapsed_time_seconds();
glob_optimal_start := array_x[1]
end if;
hnew := sz2;
return hnew
end proc
> # End Function number 8
> # Begin Function number 9
> prog_report := proc(x_start,x_end)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_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_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> 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_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D1,
> array_const_0D2,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_a1,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec;
> #TOP PROGRESS REPORT
> clock_sec1 := elapsed_time_seconds();
> total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec);
> glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec);
> left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1);
> expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h) ,convfloat( clock_sec1) - convfloat(glob_orig_start_sec));
> opt_clock_sec := convfloat( clock_sec1) - convfloat(glob_optimal_clock_start_sec);
> glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) +convfloat( glob_h) ,convfloat( opt_clock_sec));
> glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec;
> percent_done := comp_percent(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h));
> glob_percent_done := percent_done;
> omniout_str_noeol(INFO,"Total Elapsed Time ");
> omniout_timestr(convfloat(total_clock_sec));
> omniout_str_noeol(INFO,"Elapsed Time(since restart) ");
> omniout_timestr(convfloat(glob_clock_sec));
> if (convfloat(percent_done) < convfloat(100.0)) then # if number 1
> omniout_str_noeol(INFO,"Expected Time Remaining ");
> omniout_timestr(convfloat(expect_sec));
> omniout_str_noeol(INFO,"Optimized Time Remaining ");
> omniout_timestr(convfloat(glob_optimal_expect_sec));
> omniout_str_noeol(INFO,"Expected Total Time ");
> omniout_timestr(convfloat(glob_total_exp_sec));
> fi;# end if 1;
> omniout_str_noeol(INFO,"Time to Timeout ");
> omniout_timestr(convfloat(left_sec));
> omniout_float(INFO, "Percent Done ",33,percent_done,4,"%");
> #BOTTOM PROGRESS REPORT
> end;
prog_report := proc(x_start, x_end)
local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec,
percent_done, total_clock_sec;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_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_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, 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_max_minutes, array_const_1,
array_const_0D0, array_const_0D1, array_const_0D2, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_a1, array_tmp3, array_tmp4, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
clock_sec1 := elapsed_time_seconds();
total_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_orig_start_sec);
glob_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_clock_start_sec);
left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec)
- convfloat(clock_sec1);
expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start),
convfloat(array_x[1]) + convfloat(glob_h),
convfloat(clock_sec1) - convfloat(glob_orig_start_sec));
opt_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec);
glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),
convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h),
convfloat(opt_clock_sec));
glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec;
percent_done := comp_percent(convfloat(x_end), convfloat(x_start),
convfloat(array_x[1]) + convfloat(glob_h));
glob_percent_done := percent_done;
omniout_str_noeol(INFO, "Total Elapsed Time ");
omniout_timestr(convfloat(total_clock_sec));
omniout_str_noeol(INFO, "Elapsed Time(since restart) ");
omniout_timestr(convfloat(glob_clock_sec));
if convfloat(percent_done) < convfloat(100.0) then
omniout_str_noeol(INFO, "Expected Time Remaining ");
omniout_timestr(convfloat(expect_sec));
omniout_str_noeol(INFO, "Optimized Time Remaining ");
omniout_timestr(convfloat(glob_optimal_expect_sec));
omniout_str_noeol(INFO, "Expected Total Time ");
omniout_timestr(convfloat(glob_total_exp_sec))
end if;
omniout_str_noeol(INFO, "Time to Timeout ");
omniout_timestr(convfloat(left_sec));
omniout_float(INFO, "Percent Done ", 33,
percent_done, 4, "%")
end proc
> # End Function number 9
> # Begin Function number 10
> check_for_pole := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_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_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> 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_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D1,
> array_const_0D2,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_a1,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local cnt, dr1, dr2, ds1, ds2, hdrc,hdrc_BBB, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, 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 * glob_small_float) or (omniabs(array_y_higher[1,m-1]) < glob_small_float * glob_small_float) or (omniabs(array_y_higher[1,m-2]) < glob_small_float * 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)*rm0-convfloat(m-1)*rm1;
> if (omniabs(hdrc) > glob_small_float * glob_small_float) then # if number 2
> rcs := glob_h/hdrc;
> ord_no := (rm1*convfloat((m-2)*(m-2))-rm0*convfloat(m-3))/hdrc;
> array_real_pole[1,1] := rcs;
> array_real_pole[1,2] := ord_no;
> else
> array_real_pole[1,1] := glob_large_float;
> array_real_pole[1,2] := glob_large_float;
> fi;# end if 2
> else
> array_real_pole[1,1] := glob_large_float;
> array_real_pole[1,2] := glob_large_float;
> fi;# end if 1;
> #BOTTOM RADII REAL EQ = 1
> #TOP RADII COMPLEX EQ = 1
> #Computes radius of convergence for complex conjugate pair of poles.
> #from 6 adjacent Taylor series terms
> #Also computes r_order of poles.
> #Due to Manuel Prieto.
> #With a correction by Dennis J. Darland
> n := glob_max_terms - 1 - 1;
> cnt := 0;
> while ((cnt < 5) and (n >= 10)) do # do number 2
> if (omniabs(array_y_higher[1,n]) > glob_small_float) then # if number 1
> cnt := cnt + 1;
> else
> cnt := 0;
> fi;# end if 1;
> n := n - 1;
> od;# end do number 2;
> m := n + cnt;
> if (m <= 10) then # if number 1
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> elif
> (((omniabs(array_y_higher[1,m]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-1]) >=(glob_large_float)) or (omniabs(array_y_higher[1,m-2]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-3]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-4]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-5]) >= (glob_large_float))) or ((omniabs(array_y_higher[1,m]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-1]) <=(glob_small_float)) or (omniabs(array_y_higher[1,m-2]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-3]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-4]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-5]) <= (glob_small_float)))) then # if number 2
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> else
> rm0 := (array_y_higher[1,m])/(array_y_higher[1,m-1]);
> rm1 := (array_y_higher[1,m-1])/(array_y_higher[1,m-2]);
> rm2 := (array_y_higher[1,m-2])/(array_y_higher[1,m-3]);
> rm3 := (array_y_higher[1,m-3])/(array_y_higher[1,m-4]);
> rm4 := (array_y_higher[1,m-4])/(array_y_higher[1,m-5]);
> nr1 := convfloat(m-1)*rm0 - 2.0*convfloat(m-2)*rm1 + convfloat(m-3)*rm2;
> nr2 := convfloat(m-2)*rm1 - 2.0*convfloat(m-3)*rm2 + convfloat(m-4)*rm3;
> dr1 := (-1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
> dr2 := (-1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
> ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
> ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
> if ((omniabs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (omniabs(dr1) <= glob_small_float)) then # if number 3
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> else
> if (omniabs(nr1*dr2 - nr2 * dr1) > glob_small_float) then # if number 4
> rcs := ((ds1*dr2 - ds2*dr1 +dr1*dr2)/(nr1*dr2 - nr2 * dr1));
> #(Manuels) rcs := (ds1*dr2 - ds2*dr1)/(nr1*dr2 - nr2 * dr1)
> ord_no := (rcs*nr1 - ds1)/(2.0*dr1) -convfloat(m)/2.0;
> if (omniabs(rcs) > glob_small_float) then # if number 5
> if (rcs > 0.0) then # if number 6
> rad_c := sqrt(rcs) * omniabs(glob_h);
> else
> rad_c := glob_large_float;
> fi;# end if 6
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 5
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 4
> fi;# end if 3;
> array_complex_pole[1,1] := rad_c;
> array_complex_pole[1,2] := ord_no;
> fi;# end if 2;
> #BOTTOM RADII COMPLEX EQ = 1
> found_sing := 0;
> #TOP WHICH RADII EQ = 1
> if (1 <> found_sing 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_sing := 1;
> 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 for equation 1");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if (1 <> found_sing 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] > -1.0 * glob_smallish_float) 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_sing := 1;
> 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 for equation 1");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if (1 <> found_sing 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_sing := 1;
> array_type_pole[1] := 3;
> if (reached_interval()) then # if number 3
> omniout_str(ALWAYS,"NO POLE for equation 1");
> fi;# end if 3;
> fi;# end if 2;
> if (1 <> found_sing 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] > -1.0 * glob_smallish_float))) then # if number 2
> array_poles[1,1] := array_real_pole[1,1];
> array_poles[1,2] := array_real_pole[1,2];
> found_sing := 1;
> 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 for equation 1");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if (1 <> found_sing 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_sing := 1;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Complex estimate of poles used for equation 1");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if (1 <> found_sing ) 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 for equation 1");
> 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, hdrc_BBB, m, n, nr1, nr2, ord_no,
rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, 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_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_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, 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_max_minutes, array_const_1,
array_const_0D0, array_const_0D1, array_const_0D2, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_a1, array_tmp3, array_tmp4, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
n := glob_max_terms;
m := n - 2;
while 10 <= m and (
omniabs(array_y_higher[1, m]) < glob_small_float*glob_small_float or
omniabs(array_y_higher[1, m - 1]) < glob_small_float*glob_small_float
or
omniabs(array_y_higher[1, m - 2]) < glob_small_float*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)*rm0 - convfloat(m - 1)*rm1;
if glob_small_float*glob_small_float < omniabs(hdrc) then
rcs := glob_h/hdrc;
ord_no := (
rm1*convfloat((m - 2)*(m - 2)) - rm0*convfloat(m - 3))/hdrc
;
array_real_pole[1, 1] := rcs;
array_real_pole[1, 2] := ord_no
else
array_real_pole[1, 1] := glob_large_float;
array_real_pole[1, 2] := glob_large_float
end if
else
array_real_pole[1, 1] := glob_large_float;
array_real_pole[1, 2] := glob_large_float
end if;
n := glob_max_terms - 2;
cnt := 0;
while cnt < 5 and 10 <= n do
if glob_small_float < omniabs(array_y_higher[1, n]) then
cnt := cnt + 1
else cnt := 0
end if;
n := n - 1
end do;
m := n + cnt;
if m <= 10 then rad_c := glob_large_float; ord_no := glob_large_float
elif glob_large_float <= omniabs(array_y_higher[1, m]) or
glob_large_float <= omniabs(array_y_higher[1, m - 1]) or
glob_large_float <= omniabs(array_y_higher[1, m - 2]) or
glob_large_float <= omniabs(array_y_higher[1, m - 3]) or
glob_large_float <= omniabs(array_y_higher[1, m - 4]) or
glob_large_float <= omniabs(array_y_higher[1, m - 5]) or
omniabs(array_y_higher[1, m]) <= glob_small_float or
omniabs(array_y_higher[1, m - 1]) <= glob_small_float or
omniabs(array_y_higher[1, m - 2]) <= glob_small_float or
omniabs(array_y_higher[1, m - 3]) <= glob_small_float or
omniabs(array_y_higher[1, m - 4]) <= glob_small_float or
omniabs(array_y_higher[1, m - 5]) <= glob_small_float then
rad_c := glob_large_float; ord_no := glob_large_float
else
rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1];
rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2];
rm2 := array_y_higher[1, m - 2]/array_y_higher[1, m - 3];
rm3 := array_y_higher[1, m - 3]/array_y_higher[1, m - 4];
rm4 := array_y_higher[1, m - 4]/array_y_higher[1, m - 5];
nr1 := convfloat(m - 1)*rm0 - 2.0*convfloat(m - 2)*rm1
+ convfloat(m - 3)*rm2;
nr2 := convfloat(m - 2)*rm1 - 2.0*convfloat(m - 3)*rm2
+ convfloat(m - 4)*rm3;
dr1 := (-1)*(1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
dr2 := (-1)*(1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
if omniabs(nr1*dr2 - nr2*dr1) <= glob_small_float or
omniabs(dr1) <= glob_small_float then
rad_c := glob_large_float; ord_no := glob_large_float
else
if glob_small_float < omniabs(nr1*dr2 - nr2*dr1) then
rcs := (ds1*dr2 - ds2*dr1 + dr1*dr2)/(nr1*dr2 - nr2*dr1);
ord_no := (rcs*nr1 - ds1)/(2.0*dr1) - convfloat(m)/2.0;
if glob_small_float < omniabs(rcs) then
if 0. < rcs then rad_c := sqrt(rcs)*omniabs(glob_h)
else rad_c := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
end if;
array_complex_pole[1, 1] := rad_c;
array_complex_pole[1, 2] := ord_no
end if;
found_sing := 0;
if 1 <> found_sing 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_sing := 1;
array_type_pole[1] := 2;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Complex estimate of poles used for equation 1")
end if
end if
end if;
if 1 <> found_sing 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
-1.0*glob_smallish_float < 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_sing := 1;
array_type_pole[1] := 1;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Real estimate of pole used for equation 1")
end if
end if
end if;
if 1 <> found_sing 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_sing := 1;
array_type_pole[1] := 3;
if reached_interval() then
omniout_str(ALWAYS, "NO POLE for equation 1")
end if
end if;
if 1 <> found_sing and array_real_pole[1, 1] < array_complex_pole[1, 1]
and 0. < array_real_pole[1, 1] and
-1.0*glob_smallish_float < 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_sing := 1;
array_type_pole[1] := 1;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Real estimate of pole used for equation 1")
end if
end if
end if;
if 1 <> found_sing 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_sing := 1;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Complex estimate of poles used for equation 1")
end if
end if
end if;
if 1 <> found_sing 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 for equation 1")
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_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_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> 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_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D1,
> array_const_0D2,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_a1,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local iii;
> if ( not glob_initial_pass) then # if number 2
> iii := 1;
> while (iii <= glob_max_terms) do # do number 2
> array_norms[iii] := 0.0;
> iii := iii + 1;
> od;# end do number 2;
> #TOP GET NORMS
> iii := 1;
> while (iii <= glob_max_terms) do # do number 2
> if (omniabs(array_y[iii]) > array_norms[iii]) then # if number 3
> array_norms[iii] := omniabs(array_y[iii]);
> fi;# end if 3;
> iii := iii + 1;
> od;# end do number 2
> #BOTTOM GET NORMS
> ;
> fi;# end if 2;
> end;
get_norms := proc()
local iii;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_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_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, 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_max_minutes, array_const_1,
array_const_0D0, array_const_0D1, array_const_0D2, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_a1, array_tmp3, array_tmp4, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
if not glob_initial_pass then
iii := 1;
while iii <= glob_max_terms do
array_norms[iii] := 0.; iii := iii + 1
end do;
iii := 1;
while iii <= glob_max_terms do
if array_norms[iii] < omniabs(array_y[iii]) then
array_norms[iii] := omniabs(array_y[iii])
end if;
iii := iii + 1
end do
end if
end proc
> # End Function number 11
> # Begin Function number 12
> atomall := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_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_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> 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_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D1,
> array_const_0D2,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_a1,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local kkk, order_d, adj2, adj3 , temporary, term;
> #TOP ATOMALL
> #END OUTFILE1
> #BEGIN ATOMHDR1
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 1
> array_tmp1[1] := array_const_0D1[1] * array_x[1];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 1
> array_tmp2[1] := array_tmp1[1] + array_const_0D2[1];
> #emit pre asin ID_LINEAR iii = 1 $eq_no = 1
> #emit pre asin 1 $eq_no = 1
> array_tmp3[1] := arcsin(array_tmp2[1]);
> array_tmp3_a1[1] := cos(array_tmp3[1]);
> #emit pre add CONST FULL $eq_no = 1 i = 1
> array_tmp4[1] := array_const_0D0[1] + array_tmp3[1];
> #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5
> if ( not array_y_set_initial[1,2]) then # if number 1
> if (1 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[1] * expt(glob_h , (1)) * factorial_3(0,1);
> array_y[2] := temporary;
> array_y_higher[1,2] := temporary;
> temporary := temporary / glob_h * (1.0);
> array_y_higher[2,1] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 2;
> #END ATOMHDR1
> #BEGIN ATOMHDR2
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 2
> array_tmp1[2] := array_const_0D1[1] * array_x[2];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 2
> array_tmp2[2] := array_tmp1[2];
> #emit pre asin ID_LINEAR iii = 2 $eq_no = 1
> #emit pre asin 1 $eq_no = 1
> array_tmp3[2] := array_tmp2[2] / array_tmp3_a1[1];
> array_tmp3_a1[2] := -array_tmp2[1] * array_tmp3[2];
> #emit pre add CONST FULL $eq_no = 1 i = 2
> array_tmp4[2] := array_tmp3[2];
> #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5
> if ( not array_y_set_initial[1,3]) then # if number 1
> if (2 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[2] * expt(glob_h , (1)) * factorial_3(1,2);
> array_y[3] := temporary;
> array_y_higher[1,3] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y_higher[2,2] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 3;
> #END ATOMHDR2
> #BEGIN ATOMHDR3
> #emit pre asin ID_LINEAR iii = 3 $eq_no = 1
> array_tmp3[3] := - att(2,array_tmp3_a1,array_tmp3,2) / array_tmp3_a1[1];
> array_tmp3_a1[3] := -array_tmp3[3] * array_tmp2[1] - array_tmp3[2] * array_tmp2[2] * 1 / 2;
> #emit pre add CONST FULL $eq_no = 1 i = 3
> array_tmp4[3] := array_tmp3[3];
> #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5
> if ( not array_y_set_initial[1,4]) then # if number 1
> if (3 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[3] * expt(glob_h , (1)) * factorial_3(2,3);
> array_y[4] := temporary;
> array_y_higher[1,4] := temporary;
> temporary := temporary / glob_h * (3.0);
> array_y_higher[2,3] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 4;
> #END ATOMHDR3
> #BEGIN ATOMHDR4
> #emit pre asin ID_LINEAR iii = 4 $eq_no = 1
> array_tmp3[4] := - att(3,array_tmp3_a1,array_tmp3,2) / array_tmp3_a1[1];
> array_tmp3_a1[4] := -array_tmp3[4] * array_tmp2[1] - array_tmp3[3] * array_tmp2[2] * 2 / 3;
> #emit pre add CONST FULL $eq_no = 1 i = 4
> array_tmp4[4] := array_tmp3[4];
> #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5
> if ( not array_y_set_initial[1,5]) then # if number 1
> if (4 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[4] * expt(glob_h , (1)) * factorial_3(3,4);
> array_y[5] := temporary;
> array_y_higher[1,5] := temporary;
> temporary := temporary / glob_h * (4.0);
> array_y_higher[2,4] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 5;
> #END ATOMHDR4
> #BEGIN ATOMHDR5
> #emit pre asin ID_LINEAR iii = 5 $eq_no = 1
> array_tmp3[5] := - att(4,array_tmp3_a1,array_tmp3,2) / array_tmp3_a1[1];
> array_tmp3_a1[5] := -array_tmp3[5] * array_tmp2[1] - array_tmp3[4] * array_tmp2[2] * 3 / 4;
> #emit pre add CONST FULL $eq_no = 1 i = 5
> array_tmp4[5] := array_tmp3[5];
> #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5
> if ( not array_y_set_initial[1,6]) then # if number 1
> if (5 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[5] * expt(glob_h , (1)) * factorial_3(4,5);
> array_y[6] := temporary;
> array_y_higher[1,6] := temporary;
> temporary := temporary / glob_h * (5.0);
> array_y_higher[2,5] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 6;
> #END ATOMHDR5
> #BEGIN OUTFILE3
> #Top Atomall While Loop-- outfile3
> while (kkk <= glob_max_terms) do # do number 1
> #END OUTFILE3
> #BEGIN OUTFILE4
> #emit asin ID_LINEAR $eq_no = 1
> array_tmp3[kkk] := - att(kkk-1,array_tmp3_a1,array_tmp3,2)/array_tmp3_a1[1];
> array_tmp3_a1[kkk] := -array_tmp3[kkk] * array_tmp2[1] - array_tmp3[kkk-1] * array_tmp2[2] * (kkk - 2) / (kkk - 1);
> #emit NOT FULL - FULL add $eq_no = 1
> array_tmp4[kkk] := array_tmp3[kkk];
> #emit assign $eq_no = 1
> order_d := 1;
> if (kkk + order_d + 1 <= glob_max_terms) then # if number 1
> if ( not array_y_set_initial[1,kkk + order_d]) then # if number 2
> temporary := array_tmp4[kkk] * expt(glob_h , (order_d)) * factorial_3((kkk - 1),(kkk + order_d - 1));
> array_y[kkk + order_d] := temporary;
> array_y_higher[1,kkk + order_d] := temporary;
> term := kkk + order_d - 1;
> adj2 := kkk + order_d - 1;
> adj3 := 2;
> while (term >= 1) do # do number 2
> if (adj3 <= order_d + 1) then # if number 3
> if (adj2 > 0) then # if number 4
> temporary := temporary / glob_h * convfp(adj2);
> else
> temporary := temporary;
> fi;# end if 4;
> array_y_higher[adj3,term] := temporary;
> fi;# end if 3;
> term := term - 1;
> adj2 := adj2 - 1;
> adj3 := adj3 + 1;
> od;# end do number 2
> fi;# end if 2
> fi;# end if 1;
> kkk := kkk + 1;
> od;# end do number 1;
> #BOTTOM ATOMALL
> #END OUTFILE4
> #BEGIN OUTFILE5
> #BOTTOM ATOMALL ???
> end;
atomall := proc()
local kkk, order_d, adj2, adj3, temporary, term;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_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_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, 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_max_minutes, array_const_1,
array_const_0D0, array_const_0D1, array_const_0D2, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_a1, array_tmp3, array_tmp4, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
array_tmp1[1] := array_const_0D1[1]*array_x[1];
array_tmp2[1] := array_tmp1[1] + array_const_0D2[1];
array_tmp3[1] := arcsin(array_tmp2[1]);
array_tmp3_a1[1] := cos(array_tmp3[1]);
array_tmp4[1] := array_const_0D0[1] + array_tmp3[1];
if not array_y_set_initial[1, 2] then
if 1 <= glob_max_terms then
temporary := array_tmp4[1]*expt(glob_h, 1)*factorial_3(0, 1);
array_y[2] := temporary;
array_y_higher[1, 2] := temporary;
temporary := temporary*1.0/glob_h;
array_y_higher[2, 1] := temporary
end if
end if;
kkk := 2;
array_tmp1[2] := array_const_0D1[1]*array_x[2];
array_tmp2[2] := array_tmp1[2];
array_tmp3[2] := array_tmp2[2]/array_tmp3_a1[1];
array_tmp3_a1[2] := -array_tmp2[1]*array_tmp3[2];
array_tmp4[2] := array_tmp3[2];
if not array_y_set_initial[1, 3] then
if 2 <= glob_max_terms then
temporary := array_tmp4[2]*expt(glob_h, 1)*factorial_3(1, 2);
array_y[3] := temporary;
array_y_higher[1, 3] := temporary;
temporary := temporary*2.0/glob_h;
array_y_higher[2, 2] := temporary
end if
end if;
kkk := 3;
array_tmp3[3] := -att(2, array_tmp3_a1, array_tmp3, 2)/array_tmp3_a1[1]
;
array_tmp3_a1[3] :=
-array_tmp3[3]*array_tmp2[1] - 1/2*array_tmp3[2]*array_tmp2[2];
array_tmp4[3] := array_tmp3[3];
if not array_y_set_initial[1, 4] then
if 3 <= glob_max_terms then
temporary := array_tmp4[3]*expt(glob_h, 1)*factorial_3(2, 3);
array_y[4] := temporary;
array_y_higher[1, 4] := temporary;
temporary := temporary*3.0/glob_h;
array_y_higher[2, 3] := temporary
end if
end if;
kkk := 4;
array_tmp3[4] := -att(3, array_tmp3_a1, array_tmp3, 2)/array_tmp3_a1[1]
;
array_tmp3_a1[4] :=
-array_tmp3[4]*array_tmp2[1] - 2/3*array_tmp3[3]*array_tmp2[2];
array_tmp4[4] := array_tmp3[4];
if not array_y_set_initial[1, 5] then
if 4 <= glob_max_terms then
temporary := array_tmp4[4]*expt(glob_h, 1)*factorial_3(3, 4);
array_y[5] := temporary;
array_y_higher[1, 5] := temporary;
temporary := temporary*4.0/glob_h;
array_y_higher[2, 4] := temporary
end if
end if;
kkk := 5;
array_tmp3[5] := -att(4, array_tmp3_a1, array_tmp3, 2)/array_tmp3_a1[1]
;
array_tmp3_a1[5] :=
-array_tmp3[5]*array_tmp2[1] - 3/4*array_tmp3[4]*array_tmp2[2];
array_tmp4[5] := array_tmp3[5];
if not array_y_set_initial[1, 6] then
if 5 <= glob_max_terms then
temporary := array_tmp4[5]*expt(glob_h, 1)*factorial_3(4, 5);
array_y[6] := temporary;
array_y_higher[1, 6] := temporary;
temporary := temporary*5.0/glob_h;
array_y_higher[2, 5] := temporary
end if
end if;
kkk := 6;
while kkk <= glob_max_terms do
array_tmp3[kkk] :=
-att(kkk - 1, array_tmp3_a1, array_tmp3, 2)/array_tmp3_a1[1];
array_tmp3_a1[kkk] := -array_tmp3[kkk]*array_tmp2[1]
- array_tmp3[kkk - 1]*array_tmp2[2]*(kkk - 2)/(kkk - 1);
array_tmp4[kkk] := array_tmp3[kkk];
order_d := 1;
if kkk + order_d + 1 <= glob_max_terms then
if not array_y_set_initial[1, kkk + order_d] then
temporary := array_tmp4[kkk]*expt(glob_h, order_d)*
factorial_3(kkk - 1, kkk + order_d - 1);
array_y[kkk + order_d] := temporary;
array_y_higher[1, kkk + order_d] := temporary;
term := kkk + order_d - 1;
adj2 := kkk + order_d - 1;
adj3 := 2;
while 1 <= term do
if adj3 <= order_d + 1 then
if 0 < adj2 then
temporary := temporary*convfp(adj2)/glob_h
else temporary := temporary
end if;
array_y_higher[adj3, term] := temporary
end if;
term := term - 1;
adj2 := adj2 - 1;
adj3 := adj3 + 1
end do
end if
end if;
kkk := kkk + 1
end do
end proc
> # End Function number 12
> #BEGIN ATS LIBRARY BLOCK
> # Begin Function number 2
> omniout_str := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> printf("%s\n",str);
> fi;# end if 1;
> end;
omniout_str := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s\n", str) end if
end proc
> # End Function number 2
> # Begin Function number 3
> omniout_str_noeol := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> printf("%s",str);
> fi;# end if 1;
> end;
omniout_str_noeol := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s", str) end if
end proc
> # End Function number 3
> # Begin Function number 4
> omniout_labstr := proc(iolevel,label,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> print(label,str);
> fi;# end if 1;
> end;
omniout_labstr := proc(iolevel, label, str)
global glob_iolevel;
if iolevel <= glob_iolevel then print(label, str) end if
end proc
> # End Function number 4
> # Begin Function number 5
> omniout_float := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> if vallen = 4 then
> printf("%-30s = %-42.4g %s \n",prelabel,value, postlabel);
> else
> printf("%-30s = %-42.32g %s \n",prelabel,value, postlabel);
> fi;# end if 1;
> fi;# end if 0;
> end;
omniout_float := proc(iolevel, prelabel, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
if vallen = 4 then
printf("%-30s = %-42.4g %s \n", prelabel, value, postlabel)
else printf("%-30s = %-42.32g %s \n", prelabel, value, postlabel)
end if
end if
end proc
> # End Function number 5
> # Begin Function number 6
> omniout_int := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 0
> if vallen = 5 then # if number 1
> printf("%-30s = %-32d %s\n",prelabel,value, postlabel);
> else
> printf("%-30s = %-32d %s \n",prelabel,value, postlabel);
> fi;# end if 1;
> fi;# end if 0;
> end;
omniout_int := proc(iolevel, prelabel, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
if vallen = 5 then
printf("%-30s = %-32d %s\n", prelabel, value, postlabel)
else printf("%-30s = %-32d %s \n", prelabel, value, postlabel)
end if
end if
end proc
> # End Function number 6
> # Begin Function number 7
> omniout_float_arr := proc(iolevel,prelabel,elemnt,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 0
> print(prelabel,"[",elemnt,"]",value, postlabel);
> fi;# end if 0;
> end;
omniout_float_arr := proc(
iolevel, prelabel, elemnt, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
print(prelabel, "[", elemnt, "]", value, postlabel)
end if
end proc
> # End Function number 7
> # Begin Function number 8
> dump_series := proc(iolevel,dump_label,series_name,arr_series,numb)
> global glob_iolevel;
> local i;
> if (glob_iolevel >= iolevel) then # if number 0
> i := 1;
> while (i <= numb) do # do number 1
> print(dump_label,series_name
> ,i,arr_series[i]);
> i := i + 1;
> od;# end do number 1
> fi;# end if 0
> end;
dump_series := proc(iolevel, dump_label, series_name, arr_series, numb)
local i;
global glob_iolevel;
if iolevel <= glob_iolevel then
i := 1;
while i <= numb do
print(dump_label, series_name, i, arr_series[i]); i := i + 1
end do
end if
end proc
> # End Function number 8
> # Begin Function number 9
> dump_series_2 := proc(iolevel,dump_label,series_name2,arr_series2,numb,subnum,arr_x)
> global glob_iolevel;
> local i,sub,ts_term;
> if (glob_iolevel >= iolevel) then # if number 0
> sub := 1;
> while (sub <= subnum) do # do number 1
> i := 1;
> while (i <= numb) do # do number 2
> print(dump_label,series_name2,sub,i,arr_series2[sub,i]);
> od;# end do number 2;
> sub := sub + 1;
> od;# end do number 1;
> fi;# end if 0;
> end;
dump_series_2 := proc(
iolevel, dump_label, series_name2, arr_series2, numb, subnum, arr_x)
local i, sub, ts_term;
global glob_iolevel;
if iolevel <= glob_iolevel then
sub := 1;
while sub <= subnum do
i := 1;
while i <= numb do print(dump_label, series_name2, sub, i,
arr_series2[sub, i])
end do;
sub := sub + 1
end do
end if
end proc
> # End Function number 9
> # Begin Function number 10
> cs_info := proc(iolevel,str)
> global glob_iolevel,glob_correct_start_flag,glob_h,glob_reached_optimal_h;
> if (glob_iolevel >= iolevel) then # if number 0
> print("cs_info " , str , " glob_correct_start_flag = " , glob_correct_start_flag , "glob_h := " , glob_h , "glob_reached_optimal_h := " , glob_reached_optimal_h)
> fi;# end if 0;
> end;
cs_info := proc(iolevel, str)
global
glob_iolevel, glob_correct_start_flag, glob_h, glob_reached_optimal_h;
if iolevel <= glob_iolevel then print("cs_info ", str,
" glob_correct_start_flag = ", glob_correct_start_flag,
"glob_h := ", glob_h, "glob_reached_optimal_h := ",
glob_reached_optimal_h)
end if
end proc
> # End Function number 10
> # Begin Function number 11
> logitem_time := proc(fd,secs_in)
> global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
> local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int;
> fprintf(fd,"
");
> if (secs_in >= 0) then # if number 0
> years_int := trunc(secs_in / glob_sec_in_year);
> sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year));
> days_int := trunc(sec_temp / glob_sec_in_day) ;
> sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ;
> hours_int := trunc(sec_temp / glob_sec_in_hour);
> sec_temp := (sec_temp mod trunc(glob_sec_in_hour));
> minutes_int := trunc(sec_temp / glob_sec_in_minute);
> sec_int := (sec_temp mod trunc(glob_sec_in_minute));
> if (years_int > 0) then # if number 1
> fprintf(fd,"%d Years %d Days %d Hours %d Minutes %d Seconds",years_int,days_int,hours_int,minutes_int,sec_int);
> elif
> (days_int > 0) then # if number 2
> fprintf(fd,"%d Days %d Hours %d Minutes %d Seconds",days_int,hours_int,minutes_int,sec_int);
> elif
> (hours_int > 0) then # if number 3
> fprintf(fd,"%d Hours %d Minutes %d Seconds",hours_int,minutes_int,sec_int);
> elif
> (minutes_int > 0) then # if number 4
> fprintf(fd,"%d Minutes %d Seconds",minutes_int,sec_int);
> else
> fprintf(fd,"%d Seconds",sec_int);
> fi;# end if 4
> else
> fprintf(fd," Unknown");
> fi;# end if 3
> fprintf(fd," | \n");
> end;
logitem_time := proc(fd, secs_in)
local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int;
global
glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
fprintf(fd, "");
if 0 <= secs_in then
years_int := trunc(secs_in/glob_sec_in_year);
sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year);
days_int := trunc(sec_temp/glob_sec_in_day);
sec_temp := sec_temp mod trunc(glob_sec_in_day);
hours_int := trunc(sec_temp/glob_sec_in_hour);
sec_temp := sec_temp mod trunc(glob_sec_in_hour);
minutes_int := trunc(sec_temp/glob_sec_in_minute);
sec_int := sec_temp mod trunc(glob_sec_in_minute);
if 0 < years_int then fprintf(fd,
"%d Years %d Days %d Hours %d Minutes %d Seconds", years_int,
days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then fprintf(fd,
"%d Days %d Hours %d Minutes %d Seconds", days_int, hours_int,
minutes_int, sec_int)
elif 0 < hours_int then fprintf(fd,
"%d Hours %d Minutes %d Seconds", hours_int, minutes_int,
sec_int)
elif 0 < minutes_int then
fprintf(fd, "%d Minutes %d Seconds", minutes_int, sec_int)
else fprintf(fd, "%d Seconds", sec_int)
end if
else fprintf(fd, " Unknown")
end if;
fprintf(fd, " | \n")
end proc
> # End Function number 11
> # Begin Function number 12
> omniout_timestr := proc(secs_in)
> global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
> local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int;
> if (secs_in >= 0) then # if number 3
> years_int := trunc(secs_in / glob_sec_in_year);
> sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year));
> days_int := trunc(sec_temp / glob_sec_in_day) ;
> sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ;
> hours_int := trunc(sec_temp / glob_sec_in_hour);
> sec_temp := (sec_temp mod trunc(glob_sec_in_hour));
> minutes_int := trunc(sec_temp / glob_sec_in_minute);
> sec_int := (sec_temp mod trunc(glob_sec_in_minute));
> if (years_int > 0) then # if number 4
> printf(" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",years_int,days_int,hours_int,minutes_int,sec_int);
> elif
> (days_int > 0) then # if number 5
> printf(" = %d Days %d Hours %d Minutes %d Seconds\n",days_int,hours_int,minutes_int,sec_int);
> elif
> (hours_int > 0) then # if number 6
> printf(" = %d Hours %d Minutes %d Seconds\n",hours_int,minutes_int,sec_int);
> elif
> (minutes_int > 0) then # if number 7
> printf(" = %d Minutes %d Seconds\n",minutes_int,sec_int);
> else
> printf(" = %d Seconds\n",sec_int);
> fi;# end if 7
> else
> printf(" Unknown\n");
> fi;# end if 6
> end;
omniout_timestr := proc(secs_in)
local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int;
global
glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
if 0 <= secs_in then
years_int := trunc(secs_in/glob_sec_in_year);
sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year);
days_int := trunc(sec_temp/glob_sec_in_day);
sec_temp := sec_temp mod trunc(glob_sec_in_day);
hours_int := trunc(sec_temp/glob_sec_in_hour);
sec_temp := sec_temp mod trunc(glob_sec_in_hour);
minutes_int := trunc(sec_temp/glob_sec_in_minute);
sec_int := sec_temp mod trunc(glob_sec_in_minute);
if 0 < years_int then printf(
" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",
years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then printf(
" = %d Days %d Hours %d Minutes %d Seconds\n", days_int,
hours_int, minutes_int, sec_int)
elif 0 < hours_int then printf(
" = %d Hours %d Minutes %d Seconds\n", hours_int, minutes_int,
sec_int)
elif 0 < minutes_int then
printf(" = %d Minutes %d Seconds\n", minutes_int, sec_int)
else printf(" = %d Seconds\n", sec_int)
end if
else printf(" Unknown\n")
end if
end proc
> # End Function number 12
> # Begin Function number 13
> ats := proc(mmm_ats,arr_a,arr_b,jjj_ats)
> local iii_ats, lll_ats,ma_ats, ret_ats;
> ret_ats := 0.0;
> if (jjj_ats <= mmm_ats) then # if number 6
> ma_ats := mmm_ats + 1;
> iii_ats := jjj_ats;
> while (iii_ats <= mmm_ats) do # do number 1
> lll_ats := ma_ats - iii_ats;
> ret_ats := ret_ats + arr_a[iii_ats]*arr_b[lll_ats];
> iii_ats := iii_ats + 1;
> od;# end do number 1
> fi;# end if 6;
> ret_ats;
> end;
ats := proc(mmm_ats, arr_a, arr_b, jjj_ats)
local iii_ats, lll_ats, ma_ats, ret_ats;
ret_ats := 0.;
if jjj_ats <= mmm_ats then
ma_ats := mmm_ats + 1;
iii_ats := jjj_ats;
while iii_ats <= mmm_ats do
lll_ats := ma_ats - iii_ats;
ret_ats := ret_ats + arr_a[iii_ats]*arr_b[lll_ats];
iii_ats := iii_ats + 1
end do
end if;
ret_ats
end proc
> # End Function number 13
> # Begin Function number 14
> att := proc(mmm_att,arr_aa,arr_bb,jjj_att)
> global glob_max_terms;
> local al_att, iii_att,lll_att, ma_att, ret_att;
> ret_att := 0.0;
> if (jjj_att <= mmm_att) then # if number 6
> ma_att := mmm_att + 2;
> iii_att := jjj_att;
> while (iii_att <= mmm_att) do # do number 1
> lll_att := ma_att - iii_att;
> al_att := (lll_att - 1);
> if (lll_att <= glob_max_terms) then # if number 7
> ret_att := ret_att + arr_aa[iii_att]*arr_bb[lll_att]* convfp(al_att);
> fi;# end if 7;
> iii_att := iii_att + 1;
> od;# end do number 1;
> ret_att := ret_att / convfp(mmm_att) ;
> fi;# end if 6;
> ret_att;
> end;
att := proc(mmm_att, arr_aa, arr_bb, jjj_att)
local al_att, iii_att, lll_att, ma_att, ret_att;
global glob_max_terms;
ret_att := 0.;
if jjj_att <= mmm_att then
ma_att := mmm_att + 2;
iii_att := jjj_att;
while iii_att <= mmm_att do
lll_att := ma_att - iii_att;
al_att := lll_att - 1;
if lll_att <= glob_max_terms then ret_att :=
ret_att + arr_aa[iii_att]*arr_bb[lll_att]*convfp(al_att)
end if;
iii_att := iii_att + 1
end do;
ret_att := ret_att/convfp(mmm_att)
end if;
ret_att
end proc
> # End Function number 14
> # Begin Function number 15
> display_pole_debug := proc(typ,radius,order2)
> global ALWAYS,glob_display_flag, glob_large_float, array_pole;
> if (typ = 1) then # if number 6
> omniout_str(ALWAYS,"Real");
> else
> omniout_str(ALWAYS,"Complex");
> fi;# end if 6;
> omniout_float(ALWAYS,"DBG Radius of convergence ",4, radius,4," ");
> omniout_float(ALWAYS,"DBG Order of pole ",4, order2,4," ");
> end;
display_pole_debug := proc(typ, radius, order2)
global ALWAYS, glob_display_flag, glob_large_float, array_pole;
if typ = 1 then omniout_str(ALWAYS, "Real")
else omniout_str(ALWAYS, "Complex")
end if;
omniout_float(ALWAYS, "DBG Radius of convergence ", 4, radius, 4,
" ");
omniout_float(ALWAYS, "DBG Order of pole ", 4, order2, 4,
" ")
end proc
> # End Function number 15
> # Begin Function number 16
> 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 16
> # Begin Function number 17
> 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 17
> # Begin Function number 18
> 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 18
> # Begin Function number 19
> 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 19
> # Begin Function number 20
> logitem_good_digits := proc(file,rel_error)
> global glob_small_float;
> local good_digits;
> fprintf(file,"");
> if (rel_error <> -1.0) then # if number 6
> if (rel_error > + 0.0000000000000000000000000000000001) then # if number 7
> good_digits := 1-trunc(log10(rel_error));
> fprintf(file,"%d",good_digits);
> else
> good_digits := Digits;
> fprintf(file,"%d",good_digits);
> fi;# end if 7;
> else
> fprintf(file,"Unknown");
> fi;# end if 6;
> fprintf(file," | ");
> end;
logitem_good_digits := proc(file, rel_error)
local good_digits;
global glob_small_float;
fprintf(file, "");
if rel_error <> -1.0 then
if 0.1*10^(-33) < rel_error then
good_digits := 1 - trunc(log10(rel_error));
fprintf(file, "%d", good_digits)
else good_digits := Digits; fprintf(file, "%d", good_digits)
end if
else fprintf(file, "Unknown")
end if;
fprintf(file, " | ")
end proc
> # End Function number 20
> # Begin Function number 21
> log_revs := proc(file,revs)
> fprintf(file,revs);
> end;
log_revs := proc(file, revs) fprintf(file, revs) end proc
> # End Function number 21
> # Begin Function number 22
> 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 22
> # Begin Function number 23
> 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 23
> # Begin Function number 24
> logstart := proc(file)
> fprintf(file,"");
> end;
logstart := proc(file) fprintf(file, "
") end proc
> # End Function number 24
> # Begin Function number 25
> logend := proc(file)
> fprintf(file,"
\n");
> end;
logend := proc(file) fprintf(file, "\n") end proc
> # End Function number 25
> # Begin Function number 26
> 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 26
> # Begin Function number 27
> 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 27
> # Begin Function number 28
> 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 28
> # Begin Function number 29
> factorial_2 := proc(nnn)
> nnn!;
> end;
factorial_2 := proc(nnn) nnn! end proc
> # End Function number 29
> # Begin Function number 30
> 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 30
> # Begin Function number 31
> 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 31
> # Begin Function number 32
> convfp := proc(mmm)
> (mmm);
> end;
convfp := proc(mmm) mmm end proc
> # End Function number 32
> # Begin Function number 33
> convfloat := proc(mmm)
> (mmm);
> end;
convfloat := proc(mmm) mmm end proc
> # End Function number 33
> # Begin Function number 34
> elapsed_time_seconds := proc()
> time();
> end;
elapsed_time_seconds := proc() time() end proc
> # End Function number 34
> # Begin Function number 35
> omniabs := proc(x)
> abs(x);
> end;
omniabs := proc(x) abs(x) end proc
> # End Function number 35
> # Begin Function number 36
> expt := proc(x,y)
> (x^y);
> end;
expt := proc(x, y) x^y end proc
> # End Function number 36
> # Begin Function number 37
> 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 37
> #END ATS LIBRARY BLOCK
> #BEGIN USER DEF BLOCK
> #BEGIN USER DEF BLOCK
> exact_soln_y := proc(x)
> return(10.0 * (0.1 * x + 0.2) * arcsin(0.1 * x + 0.2 ) + 10.0 * sqrt(1.0 -
> expt((0.1 * x + 0.2) , 2 )));
> end;
exact_soln_y := proc(x)
return 10.0*(0.1*x + 0.2)*arcsin(0.1*x + 0.2)
+ 10.0*sqrt(1.0 - expt(0.1*x + 0.2, 2))
end proc
> #END USER DEF BLOCK
> #END USER DEF BLOCK
> #END OUTFILE5
> # Begin Function number 2
> main := proc()
> #BEGIN OUTFIEMAIN
> local d1,d2,d3,d4,est_err_2,niii,done_once,
> term,ord,order_diff,term_no,html_log_file,iiif,jjjf,
> rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter,
> x_start,x_end
> ,it, max_terms, opt_iter, tmp,subiter, est_needed_step_err,value3,min_value,est_answer,best_h,found_h,repeat_it;
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_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_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> 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_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_0D1,
> array_const_0D2,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_a1,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> glob_last;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> glob_iolevel := INFO;
> glob_max_terms := 30;
> glob_iolevel := 5;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> MAX_UNCHANGED := 10;
> glob_check_sign := 1.0;
> glob_desired_digits_correct := 8.0;
> glob_max_value3 := 0.0;
> glob_ratio_of_radius := 0.01;
> glob_percent_done := 0.0;
> glob_subiter_method := 3;
> glob_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_max_h := 0.1;
> 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_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-200;
> 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_max_minutes := 0.0;
> #Write Set Defaults
> glob_orig_start_sec := elapsed_time_seconds();
> MAX_UNCHANGED := 10;
> glob_curr_iter_when_opt := 0;
> glob_display_flag := true;
> glob_no_eqs := 1;
> glob_iter := -1;
> opt_iter := -1;
> glob_max_iter := 50000;
> glob_max_hours := 0.0;
> glob_max_minutes := 15.0;
> omniout_str(ALWAYS,"##############ECHO OF PROBLEM#################");
> omniout_str(ALWAYS,"##############temp/lin_arcsinpostode.ode#################");
> omniout_str(ALWAYS,"diff ( y , x , 1 ) = arcsin (0.1 * x + 0.2) ;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"max_terms:=30;");
> omniout_str(ALWAYS,"Digits:=32;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#END FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"x_start := -0.8;");
> omniout_str(ALWAYS,"x_end := 0.8 ;");
> omniout_str(ALWAYS,"array_y_init[0 + 1] := exact_soln_y(x_start);");
> omniout_str(ALWAYS,"glob_look_poles := true;");
> omniout_str(ALWAYS,"glob_max_iter := 100;");
> omniout_str(ALWAYS,"#END SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK");
> omniout_str(ALWAYS,"glob_desired_digits_correct:=10;");
> omniout_str(ALWAYS,"glob_display_interval:=0.001;");
> omniout_str(ALWAYS,"glob_look_poles:=true;");
> omniout_str(ALWAYS,"glob_max_iter:=10000000;");
> omniout_str(ALWAYS,"glob_max_minutes:=3;");
> omniout_str(ALWAYS,"glob_subiter_method:=3;");
> omniout_str(ALWAYS,"#END OVERRIDE BLOCK");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN USER DEF BLOCK");
> omniout_str(ALWAYS,"exact_soln_y := proc(x)");
> omniout_str(ALWAYS,"return(10.0 * (0.1 * x + 0.2) * arcsin(0.1 * x + 0.2 ) + 10.0 * sqrt(1.0 -");
> omniout_str(ALWAYS,"expt((0.1 * x + 0.2) , 2 )));");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"");
> omniout_str(ALWAYS,"#END USER DEF BLOCK");
> omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################");
> glob_unchanged_h_cnt := 0;
> glob_warned := false;
> glob_warned2 := false;
> glob_small_float := 1.0e-200;
> glob_smallish_float := 1.0e-64;
> glob_large_float := 1.0e100;
> glob_almost_1 := 0.99;
> #BEGIN FIRST INPUT BLOCK
> #BEGIN FIRST INPUT BLOCK
> max_terms:=30;
> Digits:=32;
> #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_a1:= Array(0..(max_terms + 1),[]);
> array_tmp3:= Array(0..(max_terms + 1),[]);
> array_tmp4:= Array(0..(max_terms + 1),[]);
> array_m1:= Array(0..(max_terms + 1),[]);
> array_y_higher := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_higher_work := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_higher_work2 := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_set_initial := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_poles := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_real_pole := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_complex_pole := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_fact_2 := Array(0..(max_terms+ 1) ,(0..max_terms+ 1),[]);
> term := 1;
> while (term <= max_terms) do # do number 2
> array_y_init[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_norms[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_fact_1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_1st_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_last_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_type_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_y[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp3_a1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_higher[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_higher_work[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_higher_work2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_set_initial[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=1) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_poles[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=1) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_real_pole[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=1) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_complex_pole[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=max_terms) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_fact_2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> #BEGIN ARRAYS DEFINED AND INITIALIZATED
> array_y := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_y[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_x := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp3_a1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp3_a1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp3 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp4 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_1[1] := 1;
> array_const_0D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_0D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_0D0[1] := 0.0;
> array_const_0D1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_0D1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_0D1[1] := 0.1;
> array_const_0D2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_0D2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_0D2[1] := 0.2;
> array_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_m1[1] := -1.0;
> #END ARRAYS DEFINED AND INITIALIZATED
> #Initing Factorial Tables
> iiif := 0;
> while (iiif <= glob_max_terms) do # do number 2
> jjjf := 0;
> while (jjjf <= glob_max_terms) do # do number 3
> array_fact_1[iiif] := 0;
> array_fact_2[iiif,jjjf] := 0;
> jjjf := jjjf + 1;
> od;# end do number 3;
> iiif := iiif + 1;
> od;# end do number 2;
> #Done Initing Factorial Tables
> #TOP SECOND INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> #END FIRST INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> x_start := -0.8;
> x_end := 0.8 ;
> array_y_init[0 + 1] := exact_soln_y(x_start);
> glob_look_poles := true;
> glob_max_iter := 100;
> #END SECOND INPUT BLOCK
> #BEGIN OVERRIDE BLOCK
> glob_desired_digits_correct:=10;
> glob_display_interval:=0.001;
> glob_look_poles:=true;
> glob_max_iter:=10000000;
> glob_max_minutes:=3;
> glob_subiter_method:=3;
> #END OVERRIDE BLOCK
> #END SECOND INPUT BLOCK
> #BEGIN INITS AFTER SECOND INPUT BLOCK
> glob_last_good_h := glob_h;
> glob_max_terms := max_terms;
> glob_max_sec := convfloat(60.0) * convfloat(glob_max_minutes) + convfloat(3600.0) * convfloat(glob_max_hours);
> 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;
> if (glob_max_h < glob_h) then # if number 2
> glob_h := glob_max_h;
> 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_clock_sec := elapsed_time_seconds();
> glob_current_iter := 0;
> glob_iter := 0;
> omniout_str(DEBUGL," ");
> glob_reached_optimal_h := true;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> while ((glob_current_iter < glob_max_iter) and ((glob_check_sign * array_x[1]) < (glob_check_sign * x_end )) and ((convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec)) < convfloat(glob_max_sec))) do # do number 2
> #left paren 0001C
> if (reached_interval()) then # if number 3
> omniout_str(INFO," ");
> omniout_str(INFO,"TOP MAIN SOLVE Loop");
> fi;# end if 3;
> glob_iter := glob_iter + 1;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := glob_current_iter + 1;
> atomall();
> display_alot(current_iter);
> if (glob_look_poles) then # if number 3
> #left paren 0004C
> check_for_pole();
> fi;# end if 3;#was right paren 0004C
> if (reached_interval()) then # if number 3
> glob_next_display := glob_next_display + glob_display_interval;
> fi;# end if 3;
> array_x[1] := array_x[1] + glob_h;
> array_x[2] := glob_h;
> #Jump Series array_y;
> order_diff := 2;
> #START PART 1 SUM AND ADJUST
> #START SUM AND ADJUST EQ =1
> #sum_and_adjust array_y
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 2;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[2,iii] := array_y_higher[2,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 2;
> calc_term := 1;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 2;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 2;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 1;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #END SUM AND ADJUST EQ =1
> #END PART 1
> #START PART 2 MOVE TERMS to REGULAR Array
> term_no := glob_max_terms;
> while (term_no >= 1) do # do number 3
> array_y[term_no] := array_y_higher_work2[1,term_no];
> ord := 1;
> while (ord <= order_diff) do # do number 4
> array_y_higher[ord,term_no] := array_y_higher_work2[ord,term_no];
> ord := ord + 1;
> od;# end do number 4;
> term_no := term_no - 1;
> od;# end do number 3;
> #END PART 2 HEVE MOVED TERMS to REGULAR Array
> ;
> od;# end do number 2;#right paren 0001C
> omniout_str(ALWAYS,"Finished!");
> if (glob_iter >= glob_max_iter) then # if number 3
> omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!");
> fi;# end if 3;
> if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 3
> omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!");
> fi;# end if 3;
> glob_clock_sec := elapsed_time_seconds();
> omniout_str(INFO,"diff ( y , x , 1 ) = arcsin (0.1 * x + 0.2) ;");
> omniout_int(INFO,"Iterations ",32,glob_iter,4," ")
> ;
> prog_report(x_start,x_end);
> if (glob_html_log) then # if number 3
> logstart(html_log_file);
> logitem_str(html_log_file,"2013-01-28T15:21:22-06:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> logitem_str(html_log_file,"lin_arcsin")
> ;
> logitem_str(html_log_file,"diff ( y , x , 1 ) = arcsin (0.1 * x + 0.2) ;")
> ;
> logitem_float(html_log_file,x_start)
> ;
> logitem_float(html_log_file,x_end)
> ;
> logitem_float(html_log_file,array_x[1])
> ;
> logitem_float(html_log_file,glob_h)
> ;
> logitem_integer(html_log_file,Digits)
> ;
> ;
> logitem_good_digits(html_log_file,array_last_rel_error[1])
> ;
> logitem_integer(html_log_file,glob_max_terms)
> ;
> logitem_float(html_log_file,array_1st_rel_error[1])
> ;
> logitem_float(html_log_file,array_last_rel_error[1])
> ;
> logitem_integer(html_log_file,glob_iter)
> ;
> logitem_pole(html_log_file,array_type_pole[1])
> ;
> if (array_type_pole[1] = 1 or array_type_pole[1] = 2) then # if number 4
> logitem_float(html_log_file,array_pole[1])
> ;
> logitem_float(html_log_file,array_pole[2])
> ;
> 0;
> else
> logitem_str(html_log_file,"NA")
> ;
> logitem_str(html_log_file,"NA")
> ;
> 0;
> fi;# end if 4;
> logitem_time(html_log_file,convfloat(glob_clock_sec))
> ;
> if (glob_percent_done < 100.0) then # if number 4
> logitem_time(html_log_file,convfloat(glob_total_exp_sec))
> ;
> 0;
> else
> logitem_str(html_log_file,"Done")
> ;
> 0;
> fi;# end if 4;
> log_revs(html_log_file," 165 | ")
> ;
> logitem_str(html_log_file,"lin_arcsin diffeq.mxt")
> ;
> logitem_str(html_log_file,"lin_arcsin maple results")
> ;
> logitem_str(html_log_file,"All Tests - All Languages")
> ;
> 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, max_terms, opt_iter, tmp,
subiter, est_needed_step_err, value3, min_value, est_answer, best_h,
found_h, repeat_it;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_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_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, 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_max_minutes, array_const_1,
array_const_0D0, array_const_0D1, array_const_0D2, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3_a1, array_tmp3, array_tmp4, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
glob_last;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
glob_iolevel := INFO;
glob_max_terms := 30;
glob_iolevel := 5;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
MAX_UNCHANGED := 10;
glob_check_sign := 1.0;
glob_desired_digits_correct := 8.0;
glob_max_value3 := 0.;
glob_ratio_of_radius := 0.01;
glob_percent_done := 0.;
glob_subiter_method := 3;
glob_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_max_h := 0.1;
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_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^(-200);
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_max_minutes := 0.;
glob_orig_start_sec := elapsed_time_seconds();
MAX_UNCHANGED := 10;
glob_curr_iter_when_opt := 0;
glob_display_flag := true;
glob_no_eqs := 1;
glob_iter := -1;
opt_iter := -1;
glob_max_iter := 50000;
glob_max_hours := 0.;
glob_max_minutes := 15.0;
omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################");
omniout_str(ALWAYS,
"##############temp/lin_arcsinpostode.ode#################");
omniout_str(ALWAYS, "diff ( y , x , 1 ) = arcsin (0.1 * x + 0.2) ;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK");
omniout_str(ALWAYS, "max_terms:=30;");
omniout_str(ALWAYS, "Digits:=32;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#END FIRST INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK");
omniout_str(ALWAYS, "x_start := -0.8;");
omniout_str(ALWAYS, "x_end := 0.8 ;");
omniout_str(ALWAYS, "array_y_init[0 + 1] := exact_soln_y(x_start);");
omniout_str(ALWAYS, "glob_look_poles := true;");
omniout_str(ALWAYS, "glob_max_iter := 100;");
omniout_str(ALWAYS, "#END SECOND INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK");
omniout_str(ALWAYS, "glob_desired_digits_correct:=10;");
omniout_str(ALWAYS, "glob_display_interval:=0.001;");
omniout_str(ALWAYS, "glob_look_poles:=true;");
omniout_str(ALWAYS, "glob_max_iter:=10000000;");
omniout_str(ALWAYS, "glob_max_minutes:=3;");
omniout_str(ALWAYS, "glob_subiter_method:=3;");
omniout_str(ALWAYS, "#END OVERRIDE BLOCK");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN USER DEF BLOCK");
omniout_str(ALWAYS, "exact_soln_y := proc(x)");
omniout_str(ALWAYS, "return(10.0 * (0.1 * x + 0.2) * arcsin(0.1 * x \
+ 0.2 ) + 10.0 * sqrt(1.0 -");
omniout_str(ALWAYS, "expt((0.1 * x + 0.2) , 2 )));");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "");
omniout_str(ALWAYS, "#END USER DEF BLOCK");
omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################");
glob_unchanged_h_cnt := 0;
glob_warned := false;
glob_warned2 := false;
glob_small_float := 0.10*10^(-199);
glob_smallish_float := 0.10*10^(-63);
glob_large_float := 0.10*10^101;
glob_almost_1 := 0.99;
max_terms := 30;
Digits := 32;
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_a1 := Array(0 .. max_terms + 1, []);
array_tmp3 := Array(0 .. max_terms + 1, []);
array_tmp4 := Array(0 .. max_terms + 1, []);
array_m1 := Array(0 .. max_terms + 1, []);
array_y_higher := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_higher_work := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_higher_work2 := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_set_initial := Array(0 .. 3, 0 .. max_terms + 1, []);
array_poles := Array(0 .. 2, 0 .. 4, []);
array_real_pole := Array(0 .. 2, 0 .. 4, []);
array_complex_pole := Array(0 .. 2, 0 .. 4, []);
array_fact_2 := Array(0 .. max_terms + 1, 0 .. max_terms + 1, []);
term := 1;
while term <= max_terms do array_y_init[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_norms[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_fact_1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_1st_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_last_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_type_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_y[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_x[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_tmp0[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp3_a1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp3[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp4[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher_work[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher_work2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_set_initial[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do array_poles[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do
array_real_pole[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do
array_complex_pole[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= max_terms do
term := 1;
while term <= max_terms do
array_fact_2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
array_y := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_y[term] := 0.; term := term + 1
end do;
array_x := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_x[term] := 0.; term := term + 1
end do;
array_tmp0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp0[term] := 0.; term := term + 1
end do;
array_tmp1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp1[term] := 0.; term := term + 1
end do;
array_tmp2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1
end do;
array_tmp3_a1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp3_a1[term] := 0.; term := term + 1
end do;
array_tmp3 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1
end do;
array_tmp4 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp4[term] := 0.; term := term + 1
end do;
array_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1
end do;
array_const_1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_1[term] := 0.; term := term + 1
end do;
array_const_1[1] := 1;
array_const_0D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D0[term] := 0.; term := term + 1
end do;
array_const_0D0[1] := 0.;
array_const_0D1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D1[term] := 0.; term := term + 1
end do;
array_const_0D1[1] := 0.1;
array_const_0D2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D2[term] := 0.; term := term + 1
end do;
array_const_0D2[1] := 0.2;
array_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
array_m1[1] := -1.0;
iiif := 0;
while iiif <= glob_max_terms do
jjjf := 0;
while jjjf <= glob_max_terms do
array_fact_1[iiif] := 0;
array_fact_2[iiif, jjjf] := 0;
jjjf := jjjf + 1
end do;
iiif := iiif + 1
end do;
x_start := -0.8;
x_end := 0.8;
array_y_init[1] := exact_soln_y(x_start);
glob_look_poles := true;
glob_max_iter := 100;
glob_desired_digits_correct := 10;
glob_display_interval := 0.001;
glob_look_poles := true;
glob_max_iter := 10000000;
glob_max_minutes := 3;
glob_subiter_method := 3;
glob_last_good_h := glob_h;
glob_max_terms := max_terms;
glob_max_sec := convfloat(60.0)*convfloat(glob_max_minutes)
+ convfloat(3600.0)*convfloat(glob_max_hours);
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;
if glob_max_h < glob_h then glob_h := glob_max_h 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_clock_sec := elapsed_time_seconds();
glob_current_iter := 0;
glob_iter := 0;
omniout_str(DEBUGL, " ");
glob_reached_optimal_h := true;
glob_optimal_clock_start_sec := elapsed_time_seconds();
while glob_current_iter < glob_max_iter and
glob_check_sign*array_x[1] < glob_check_sign*x_end and
convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) <
convfloat(glob_max_sec) do
if reached_interval() then
omniout_str(INFO, " ");
omniout_str(INFO, "TOP MAIN SOLVE Loop")
end if;
glob_iter := glob_iter + 1;
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := glob_current_iter + 1;
atomall();
display_alot(current_iter);
if glob_look_poles then check_for_pole() end if;
if reached_interval() then glob_next_display :=
glob_next_display + glob_display_interval
end if;
array_x[1] := array_x[1] + glob_h;
array_x[2] := glob_h;
order_diff := 2;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[2, iii] := array_y_higher[2, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
term_no := glob_max_terms;
while 1 <= term_no do
array_y[term_no] := array_y_higher_work2[1, term_no];
ord := 1;
while ord <= order_diff do
array_y_higher[ord, term_no] :=
array_y_higher_work2[ord, term_no];
ord := ord + 1
end do;
term_no := term_no - 1
end do
end do;
omniout_str(ALWAYS, "Finished!");
if glob_max_iter <= glob_iter then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!")
end if;
if convfloat(glob_max_sec) <=
elapsed_time_seconds() - convfloat(glob_orig_start_sec) then
omniout_str(ALWAYS,
"Maximum Time Reached before Solution Completed!")
end if;
glob_clock_sec := elapsed_time_seconds();
omniout_str(INFO, "diff ( y , x , 1 ) = arcsin (0.1 * x + 0.2) ;")
;
omniout_int(INFO, "Iterations ", 32,
glob_iter, 4, " ");
prog_report(x_start, x_end);
if glob_html_log then
logstart(html_log_file);
logitem_str(html_log_file, "2013-01-28T15:21:22-06:00");
logitem_str(html_log_file, "Maple");
logitem_str(html_log_file,
"lin_arcsin");
logitem_str(html_log_file,
"diff ( y , x , 1 ) = arcsin (0.1 * x + 0.2) ;");
logitem_float(html_log_file, x_start);
logitem_float(html_log_file, x_end);
logitem_float(html_log_file, array_x[1]);
logitem_float(html_log_file, glob_h);
logitem_integer(html_log_file, Digits);
logitem_good_digits(html_log_file, array_last_rel_error[1]);
logitem_integer(html_log_file, glob_max_terms);
logitem_float(html_log_file, array_1st_rel_error[1]);
logitem_float(html_log_file, array_last_rel_error[1]);
logitem_integer(html_log_file, glob_iter);
logitem_pole(html_log_file, array_type_pole[1]);
if array_type_pole[1] = 1 or array_type_pole[1] = 2 then
logitem_float(html_log_file, array_pole[1]);
logitem_float(html_log_file, array_pole[2]);
0
else
logitem_str(html_log_file, "NA");
logitem_str(html_log_file, "NA");
0
end if;
logitem_time(html_log_file, convfloat(glob_clock_sec));
if glob_percent_done < 100.0 then
logitem_time(html_log_file, convfloat(glob_total_exp_sec));
0
else logitem_str(html_log_file, "Done"); 0
end if;
log_revs(html_log_file, " 165 | ");
logitem_str(html_log_file, "lin_arcsin diffeq.mxt");
logitem_str(html_log_file, "lin_arcsin maple results");
logitem_str(html_log_file, "All Tests - All Languages");
logend(html_log_file)
end if;
if glob_html_log then fclose(html_log_file) end if
end if
end proc
> # End Function number 12
> main();
##############ECHO OF PROBLEM#################
##############temp/lin_arcsinpostode.ode#################
diff ( y , x , 1 ) = arcsin (0.1 * x + 0.2) ;
!
#BEGIN FIRST INPUT BLOCK
max_terms:=30;
Digits:=32;
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start := -0.8;
x_end := 0.8 ;
array_y_init[0 + 1] := exact_soln_y(x_start);
glob_look_poles := true;
glob_max_iter := 100;
#END SECOND INPUT BLOCK
#BEGIN OVERRIDE BLOCK
glob_desired_digits_correct:=10;
glob_display_interval:=0.001;
glob_look_poles:=true;
glob_max_iter:=10000000;
glob_max_minutes:=3;
glob_subiter_method:=3;
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
exact_soln_y := proc(x)
return(10.0 * (0.1 * x + 0.2) * arcsin(0.1 * x + 0.2 ) + 10.0 * sqrt(1.0 -
expt((0.1 * x + 0.2) , 2 )));
end;
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Optimize
min_size = 0
min_size = 1
opt_iter = 1
glob_desired_digits_correct = 10
desired_abs_gbl_error = 1.0000000000000000000000000000000e-10
range = 1.6
estimated_steps = 1600
step_error = 6.2500000000000000000000000000000e-14
est_needed_step_err = 6.2500000000000000000000000000000e-14
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
value3 = 2.8510725260773618774215346494683e-106
max_value3 = 2.8510725260773618774215346494683e-106
value3 = 2.8510725260773618774215346494683e-106
best_h = 0.001
START of Soultion
TOP MAIN SOLVE Loop
x[1] = -0.8
y[1] (analytic) = 10.072086775666430962491010918823
y[1] (numeric) = 10.072086775666430962491010918823
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 12.06
Order of pole = 811.9
TOP MAIN SOLVE Loop
x[1] = -0.799
y[1] (analytic) = 10.072207115912965445687039975732
y[1] (numeric) = 10.072207115912965445687039975732
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 12.04
Order of pole = 810.4
TOP MAIN SOLVE Loop
x[1] = -0.798
y[1] (analytic) = 10.072327556888597448906096038544
y[1] (numeric) = 10.072327556888597448906096038545
absolute error = 1e-30
relative error = 9.9281918141759283033460637202778e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 12.02
Order of pole = 808.9
TOP MAIN SOLVE Loop
x[1] = -0.797
y[1] (analytic) = 10.072448098594554967004924605467
y[1] (numeric) = 10.072448098594554967004924605467
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.99
Order of pole = 807.4
TOP MAIN SOLVE Loop
x[1] = -0.796
y[1] (analytic) = 10.072568741032067061860627718663
y[1] (numeric) = 10.072568741032067061860627718663
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.97
Order of pole = 805.9
TOP MAIN SOLVE Loop
memory used=3.8MB, alloc=2.9MB, time=0.13
x[1] = -0.795
y[1] (analytic) = 10.072689484202363862485647162992
y[1] (numeric) = 10.072689484202363862485647162993
absolute error = 1e-30
relative error = 9.9278350788869572728820095258797e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.95
Order of pole = 804.4
TOP MAIN SOLVE Loop
x[1] = -0.794
y[1] (analytic) = 10.072810328106676565142854946785
y[1] (numeric) = 10.072810328106676565142854946786
absolute error = 1e-30
relative error = 9.9277159742564493725223722106647e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.92
Order of pole = 802.9
TOP MAIN SOLVE Loop
x[1] = -0.793
y[1] (analytic) = 10.072931272746237433460751095125
y[1] (numeric) = 10.072931272746237433460751095126
absolute error = 1e-30
relative error = 9.9275967732018945977707236658103e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.9
Order of pole = 801.5
TOP MAIN SOLVE Loop
x[1] = -0.792
y[1] (analytic) = 10.073052318122279798548768786152
y[1] (numeric) = 10.073052318122279798548768786153
absolute error = 1e-30
relative error = 9.9274774757291268596953595909014e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.88
Order of pole = 800
TOP MAIN SOLVE Loop
x[1] = -0.791
y[1] (analytic) = 10.073173464236038059112686860928
y[1] (numeric) = 10.073173464236038059112686860929
absolute error = 1e-30
relative error = 9.9273580818439845806913129039308e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.86
Order of pole = 798.6
TOP MAIN SOLVE Loop
x[1] = -0.79
y[1] (analytic) = 10.073294711088747681570149737435
y[1] (numeric) = 10.073294711088747681570149737436
absolute error = 1e-30
relative error = 9.9272385915523106936929578888119e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.83
Order of pole = 797.2
TOP MAIN SOLVE Loop
x[1] = -0.789
y[1] (analytic) = 10.073416058681645200166294759309
y[1] (numeric) = 10.073416058681645200166294759309
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.81
Order of pole = 795.8
TOP MAIN SOLVE Loop
x[1] = -0.788
y[1] (analytic) = 10.073537507015968217089487009939
y[1] (numeric) = 10.07353750701596821708948700994
absolute error = 1e-30
relative error = 9.9269993217727623754191023352813e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.79
Order of pole = 794.4
TOP MAIN SOLVE Loop
x[1] = -0.787
y[1] (analytic) = 10.073659056092955402587161622617
y[1] (numeric) = 10.073659056092955402587161622617
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.77
Order of pole = 793
TOP MAIN SOLVE Loop
x[1] = -0.786
y[1] (analytic) = 10.0737807059138464950817736174
y[1] (numeric) = 10.0737807059138464950817736174
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.75
Order of pole = 791.6
TOP MAIN SOLVE Loop
memory used=7.6MB, alloc=3.9MB, time=0.28
x[1] = -0.785
y[1] (analytic) = 10.073902456479882301286855295457
y[1] (numeric) = 10.073902456479882301286855295457
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.73
Order of pole = 790.3
TOP MAIN SOLVE Loop
x[1] = -0.784
y[1] (analytic) = 10.074024307792304696323181221623
y[1] (numeric) = 10.074024307792304696323181221623
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.71
Order of pole = 788.9
TOP MAIN SOLVE Loop
x[1] = -0.783
y[1] (analytic) = 10.074146259852356623835040825975
y[1] (numeric) = 10.074146259852356623835040825975
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.68
Order of pole = 787.6
TOP MAIN SOLVE Loop
x[1] = -0.782
y[1] (analytic) = 10.074268312661282096106618655247
y[1] (numeric) = 10.074268312661282096106618655246
absolute error = 1e-30
relative error = 9.9262791992864215154086464772050e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.66
Order of pole = 786.3
TOP MAIN SOLVE Loop
x[1] = -0.781
y[1] (analytic) = 10.074390466220326194178482304929
y[1] (numeric) = 10.074390466220326194178482304928
absolute error = 1e-30
relative error = 9.9261588415996389869944970386937e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.64
Order of pole = 785
TOP MAIN SOLVE Loop
x[1] = -0.78
y[1] (analytic) = 10.074512720530735067964178062959
y[1] (numeric) = 10.074512720530735067964178062958
absolute error = 1e-30
relative error = 9.9260383875650020859530611804794e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.62
Order of pole = 783.7
TOP MAIN SOLVE Loop
x[1] = -0.779
y[1] (analytic) = 10.0746350755937559363669342959
y[1] (numeric) = 10.074635075593755936366934295898
absolute error = 2e-30
relative error = 1.9851835674376806618036027337131e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.6
Order of pole = 782.4
TOP MAIN SOLVE Loop
x[1] = -0.778
y[1] (analytic) = 10.074757531410637087396472608565
y[1] (numeric) = 10.074757531410637087396472608563
absolute error = 2e-30
relative error = 1.9851594380951479307937093701184e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.58
Order of pole = 781.1
TOP MAIN SOLVE Loop
x[1] = -0.777
y[1] (analytic) = 10.074880087982627878285926808076
y[1] (numeric) = 10.074880087982627878285926808075
absolute error = 1e-30
relative error = 9.9256764474329126188344678748320e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.56
Order of pole = 779.8
TOP MAIN SOLVE Loop
x[1] = -0.776
y[1] (analytic) = 10.075002745310978735608869703357
y[1] (numeric) = 10.075002745310978735608869703356
absolute error = 1e-30
relative error = 9.9255556080658282011007196852687e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.54
Order of pole = 778.6
TOP MAIN SOLVE Loop
x[1] = -0.775
y[1] (analytic) = 10.075125503396941155396447771107
y[1] (numeric) = 10.075125503396941155396447771106
absolute error = 1e-30
relative error = 9.9254346723803968969113259693405e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.52
Order of pole = 777.3
TOP MAIN SOLVE Loop
memory used=11.4MB, alloc=4.1MB, time=0.44
x[1] = -0.774
y[1] (analytic) = 10.075248362241767703254623719342
y[1] (numeric) = 10.075248362241767703254623719341
absolute error = 1e-30
relative error = 9.9253136403825337002727602350310e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.5
Order of pole = 776.1
TOP MAIN SOLVE Loop
x[1] = -0.773
y[1] (analytic) = 10.075371321846712014481526979596
y[1] (numeric) = 10.075371321846712014481526979595
absolute error = 1e-30
relative error = 9.9251925120781581022567391941363e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.49
Order of pole = 774.8
TOP MAIN SOLVE Loop
x[1] = -0.772
y[1] (analytic) = 10.07549438221302879418491215893
y[1] (numeric) = 10.075494382213028794184912158929
absolute error = 1e-30
relative error = 9.9250712874731940902024406286186e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.47
Order of pole = 773.6
TOP MAIN SOLVE Loop
x[1] = -0.771
y[1] (analytic) = 10.075617543341973817399725482918
y[1] (numeric) = 10.075617543341973817399725482916
absolute error = 2e-30
relative error = 1.9849899933147140293836291834170e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.45
Order of pole = 772.4
TOP MAIN SOLVE Loop
x[1] = -0.77
y[1] (analytic) = 10.075740805234803929205779260808
y[1] (numeric) = 10.075740805234803929205779260806
absolute error = 2e-30
relative error = 1.9849657098770438499764614797088e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.43
Order of pole = 771.2
TOP MAIN SOLVE Loop
x[1] = -0.769
y[1] (analytic) = 10.075864167892777044845534404103
y[1] (numeric) = 10.075864167892777044845534404101
absolute error = 2e-30
relative error = 1.9849414071828157740888081501378e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.41
Order of pole = 770
TOP MAIN SOLVE Loop
x[1] = -0.768
y[1] (analytic) = 10.075987631317152149841991029813
y[1] (numeric) = 10.075987631317152149841991029811
absolute error = 2e-30
relative error = 1.9849170852332181946046085120196e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.39
Order of pole = 768.8
TOP MAIN SOLVE Loop
x[1] = -0.767
y[1] (analytic) = 10.076111195509189300116687179684
y[1] (numeric) = 10.076111195509189300116687179682
absolute error = 2e-30
relative error = 1.9848927440294404028617866523652e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.37
Order of pole = 767.6
TOP MAIN SOLVE Loop
x[1] = -0.766
y[1] (analytic) = 10.076234860470149622107805686736
y[1] (numeric) = 10.076234860470149622107805686734
absolute error = 2e-30
relative error = 1.9848683835726725884920051251980e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.35
Order of pole = 766.5
TOP MAIN SOLVE Loop
x[1] = -0.765
y[1] (analytic) = 10.076358626201295312888389220463
y[1] (numeric) = 10.076358626201295312888389220461
absolute error = 2e-30
relative error = 1.9848440038641058392603037938114e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.34
Order of pole = 765.3
TOP MAIN SOLVE Loop
x[1] = -0.764
y[1] (analytic) = 10.076482492703889640284663542094
y[1] (numeric) = 10.076482492703889640284663542092
absolute error = 2e-30
relative error = 1.9848196049049321409046238535324e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.32
Order of pole = 764.2
memory used=15.2MB, alloc=4.2MB, time=0.59
TOP MAIN SOLVE Loop
x[1] = -0.763
y[1] (analytic) = 10.076606459979196942994469001334
y[1] (numeric) = 10.076606459979196942994469001332
absolute error = 2e-30
relative error = 1.9847951866963443769752170705787e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.3
Order of pole = 763
TOP MAIN SOLVE Loop
x[1] = -0.762
y[1] (analytic) = 10.076730528028482630705800306048
y[1] (numeric) = 10.076730528028482630705800306046
absolute error = 2e-30
relative error = 1.9847707492395363286739402726172e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.28
Order of pole = 761.9
TOP MAIN SOLVE Loop
x[1] = -0.761
y[1] (analytic) = 10.076854696853013184215454596372
y[1] (numeric) = 10.07685469685301318421545459637
absolute error = 2e-30
relative error = 1.9847462925357026746934351266568e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.27
Order of pole = 760.8
TOP MAIN SOLVE Loop
x[1] = -0.76
y[1] (analytic) = 10.076978966454056155547787854772
y[1] (numeric) = 10.076978966454056155547787854769
absolute error = 3e-30
relative error = 2.9770827248790584865842898598962e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.25
Order of pole = 759.7
TOP MAIN SOLVE Loop
x[1] = -0.759
y[1] (analytic) = 10.077103336832880168073579683597
y[1] (numeric) = 10.077103336832880168073579683594
absolute error = 3e-30
relative error = 2.9770459820876126264302599291678e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.23
Order of pole = 758.6
TOP MAIN SOLVE Loop
x[1] = -0.758
y[1] (analytic) = 10.077227807990754916629006481726
y[1] (numeric) = 10.077227807990754916629006481723
absolute error = 3e-30
relative error = 2.9770092104310124868764552888360e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.21
Order of pole = 757.5
TOP MAIN SOLVE Loop
x[1] = -0.757
y[1] (analytic) = 10.077352379928951167634723051906
y[1] (numeric) = 10.077352379928951167634723051903
absolute error = 3e-30
relative error = 2.9769724099110554684908046364630e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.2
Order of pole = 756.4
TOP MAIN SOLVE Loop
x[1] = -0.756
y[1] (analytic) = 10.077477052648740759215052670438
y[1] (numeric) = 10.077477052648740759215052670435
absolute error = 3e-30
relative error = 2.9769355805295403168686831008820e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.18
Order of pole = 755.3
TOP MAIN SOLVE Loop
x[1] = -0.755
y[1] (analytic) = 10.077601826151396601317285650892
y[1] (numeric) = 10.077601826151396601317285650889
absolute error = 3e-30
relative error = 2.9768987222882671223906506193361e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.16
Order of pole = 754.3
TOP MAIN SOLVE Loop
x[1] = -0.754
y[1] (analytic) = 10.077726700438192675831086433557
y[1] (numeric) = 10.077726700438192675831086433553
absolute error = 4e-30
relative error = 3.9691491135853830933066914942612e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.15
Order of pole = 753.2
TOP MAIN SOLVE Loop
x[1] = -0.753
y[1] (analytic) = 10.07785167551040403670800923237
y[1] (numeric) = 10.077851675510404036708009232366
absolute error = 4e-30
relative error = 3.9690998923115382518136600912963e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.13
Order of pole = 752.2
memory used=19.0MB, alloc=4.3MB, time=0.75
TOP MAIN SOLVE Loop
x[1] = -0.752
y[1] (analytic) = 10.07797675136930681008112227111
y[1] (numeric) = 10.077976751369306810081122271106
absolute error = 4e-30
relative error = 3.9690506325652271364162105564933e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.11
Order of pole = 751.1
TOP MAIN SOLVE Loop
x[1] = -0.751
y[1] (analytic) = 10.078101928016178194384740640647
y[1] (numeric) = 10.078101928016178194384740640642
absolute error = 5e-30
relative error = 4.9612516679360712957183450619539e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.1
Order of pole = 750.1
TOP MAIN SOLVE Loop
x[1] = -0.75
y[1] (analytic) = 10.078227205452296460474267809094
y[1] (numeric) = 10.078227205452296460474267809089
absolute error = 5e-30
relative error = 4.9611899970810462914722410962808e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.08
Order of pole = 749
TOP MAIN SOLVE Loop
x[1] = -0.749
y[1] (analytic) = 10.078352583678940951746145816742
y[1] (numeric) = 10.078352583678940951746145816738
absolute error = 4e-30
relative error = 3.9689026225155779982183125188972e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.06
Order of pole = 748
TOP MAIN SOLVE Loop
x[1] = -0.748
y[1] (analytic) = 10.078478062697392084257914187669
y[1] (numeric) = 10.078478062697392084257914187664
absolute error = 5e-30
relative error = 4.9610665111293657430854814507053e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.05
Order of pole = 747
TOP MAIN SOLVE Loop
x[1] = -0.747
y[1] (analytic) = 10.078603642508931346848377589954
y[1] (numeric) = 10.078603642508931346848377589949
absolute error = 5e-30
relative error = 4.9610046960387440939433935021238e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.03
Order of pole = 746
TOP MAIN SOLVE Loop
x[1] = -0.746
y[1] (analytic) = 10.078729323114841301257882276488
y[1] (numeric) = 10.078729323114841301257882276483
absolute error = 5e-30
relative error = 4.9609428328756278545418575177191e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11.02
Order of pole = 745
TOP MAIN SOLVE Loop
x[1] = -0.745
y[1] (analytic) = 10.078855104516405582248701338356
y[1] (numeric) = 10.078855104516405582248701338351
absolute error = 5e-30
relative error = 4.9608809216430395663313280261899e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 11
Order of pole = 744
TOP MAIN SOLVE Loop
x[1] = -0.744
y[1] (analytic) = 10.078980986714908897725528802833
y[1] (numeric) = 10.078980986714908897725528802828
absolute error = 5e-30
relative error = 4.9608189623440040076105712099351e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.99
Order of pole = 743
TOP MAIN SOLVE Loop
x[1] = -0.743
y[1] (analytic) = 10.079106969711637028856082608058
y[1] (numeric) = 10.079106969711637028856082608053
absolute error = 5e-30
relative error = 4.9607569549815481931194675762199e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.97
Order of pole = 742.1
TOP MAIN SOLVE Loop
x[1] = -0.742
y[1] (analytic) = 10.079233053507876830191816486484
y[1] (numeric) = 10.079233053507876830191816486478
absolute error = 6e-30
relative error = 5.9528338794704416483578354597601e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.96
Order of pole = 741.1
memory used=22.8MB, alloc=4.3MB, time=0.91
TOP MAIN SOLVE Loop
x[1] = -0.741
y[1] (analytic) = 10.079359238104916229788740789222
y[1] (numeric) = 10.079359238104916229788740789216
absolute error = 6e-30
relative error = 5.9527593552941940426553608926452e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.94
Order of pole = 740.1
TOP MAIN SOLVE Loop
x[1] = -0.74
y[1] (analytic) = 10.079485523504044229328352283454
y[1] (numeric) = 10.079485523504044229328352283449
absolute error = 5e-30
relative error = 4.9605706445439629004804703329154e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.93
Order of pole = 739.2
TOP MAIN SOLVE Loop
x[1] = -0.739
y[1] (analytic) = 10.0796119097065509042386729551
y[1] (numeric) = 10.079611909706550904238672955095
absolute error = 5e-30
relative error = 4.9605084449581409248612026177588e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.91
Order of pole = 738.2
TOP MAIN SOLVE Loop
x[1] = -0.738
y[1] (analytic) = 10.079738396713727403815397848957
y[1] (numeric) = 10.079738396713727403815397848952
absolute error = 5e-30
relative error = 4.9604461973240672995158485398607e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.9
Order of pole = 737.3
TOP MAIN SOLVE Loop
x[1] = -0.737
y[1] (analytic) = 10.079864984526865951343151978582
y[1] (numeric) = 10.079864984526865951343151978578
absolute error = 4e-30
relative error = 3.9683071213158259594110980548669e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.88
Order of pole = 736.4
TOP MAIN SOLVE Loop
x[1] = -0.736
y[1] (analytic) = 10.079991673147259844216856338202
y[1] (numeric) = 10.079991673147259844216856338198
absolute error = 4e-30
relative error = 3.9682572463386632260059960415292e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.87
Order of pole = 735.4
TOP MAIN SOLVE Loop
x[1] = -0.735
y[1] (analytic) = 10.080118462576203454063203048963
y[1] (numeric) = 10.080118462576203454063203048959
absolute error = 4e-30
relative error = 3.9682073329302015526577734302508e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.85
Order of pole = 734.5
TOP MAIN SOLVE Loop
x[1] = -0.734
y[1] (analytic) = 10.080245352814992226862239671888
y[1] (numeric) = 10.080245352814992226862239671884
absolute error = 4e-30
relative error = 3.9681573810928786388376473921279e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.84
Order of pole = 733.6
TOP MAIN SOLVE Loop
x[1] = -0.733
y[1] (analytic) = 10.08037234386492268306906271992
y[1] (numeric) = 10.080372343864922683069062719917
absolute error = 3e-30
relative error = 2.9760805431218504774247122938971e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.82
Order of pole = 732.7
TOP MAIN SOLVE Loop
x[1] = -0.732
y[1] (analytic) = 10.080499435727292417735620401476
y[1] (numeric) = 10.080499435727292417735620401472
absolute error = 4e-30
relative error = 3.9680573621414088167521976093500e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.81
Order of pole = 731.8
TOP MAIN SOLVE Loop
x[1] = -0.731
y[1] (analytic) = 10.080626628403400100632624627946
y[1] (numeric) = 10.080626628403400100632624627942
absolute error = 4e-30
relative error = 3.9680072950321462355299370945679e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.79
Order of pole = 730.9
memory used=26.7MB, alloc=4.3MB, time=1.07
TOP MAIN SOLVE Loop
x[1] = -0.73
y[1] (analytic) = 10.080753921894545476371572317648
y[1] (numeric) = 10.080753921894545476371572317644
absolute error = 4e-30
relative error = 3.9679571895037910672646927284019e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.78
Order of pole = 730
TOP MAIN SOLVE Loop
x[1] = -0.729
y[1] (analytic) = 10.08088131620202936452687602873
y[1] (numeric) = 10.080881316202029364526876028725
absolute error = 5e-30
relative error = 4.9598838069484874219458625776182e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.77
Order of pole = 729.2
TOP MAIN SOLVE Loop
x[1] = -0.728
y[1] (analytic) = 10.081008811327153659758103953574
y[1] (numeric) = 10.081008811327153659758103953569
absolute error = 5e-30
relative error = 4.9598210789994890703066888850584e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.75
Order of pole = 728.3
TOP MAIN SOLVE Loop
x[1] = -0.727
y[1] (analytic) = 10.081136407271221331932329307295
y[1] (numeric) = 10.08113640727122133193232930729
absolute error = 5e-30
relative error = 4.9597583030358065213498701934191e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.74
Order of pole = 727.4
TOP MAIN SOLVE Loop
x[1] = -0.726
y[1] (analytic) = 10.081264104035536426246589142928
y[1] (numeric) = 10.081264104035536426246589142923
absolute error = 5e-30
relative error = 4.9596954790605047467371483482147e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.72
Order of pole = 726.6
TOP MAIN SOLVE Loop
x[1] = -0.725
y[1] (analytic) = 10.081391901621404063350452625959
y[1] (numeric) = 10.081391901621404063350452625954
absolute error = 5e-30
relative error = 4.9596326070766509471931667819447e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.71
Order of pole = 725.7
TOP MAIN SOLVE Loop
x[1] = -0.724
y[1] (analytic) = 10.081519800030130439468698800883
y[1] (numeric) = 10.081519800030130439468698800878
absolute error = 5e-30
relative error = 4.9595696870873145520928721695295e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.7
Order of pole = 724.9
TOP MAIN SOLVE Loop
x[1] = -0.723
y[1] (analytic) = 10.081647799263022826524103882486
y[1] (numeric) = 10.081647799263022826524103882481
absolute error = 5e-30
relative error = 4.9595067190955672190486327283054e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.68
Order of pole = 724
TOP MAIN SOLVE Loop
x[1] = -0.722
y[1] (analytic) = 10.081775899321389572260338104602
y[1] (numeric) = 10.081775899321389572260338104597
absolute error = 5e-30
relative error = 4.9594437031044828334970732538115e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.67
Order of pole = 723.2
TOP MAIN SOLVE Loop
x[1] = -0.721
y[1] (analytic) = 10.081904100206540100364972159122
y[1] (numeric) = 10.081904100206540100364972159117
absolute error = 5e-30
relative error = 4.9593806391171375082856269826608e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.66
Order of pole = 722.4
TOP MAIN SOLVE Loop
x[1] = -0.72
y[1] (analytic) = 10.082032401919784910592593258056
y[1] (numeric) = 10.082032401919784910592593258051
absolute error = 5e-30
relative error = 4.9593175271366095832588043738441e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.64
Order of pole = 721.5
memory used=30.5MB, alloc=4.3MB, time=1.24
TOP MAIN SOLVE Loop
x[1] = -0.719
y[1] (analytic) = 10.082160804462435578888030851492
y[1] (numeric) = 10.082160804462435578888030851488
absolute error = 4e-30
relative error = 3.9674034937327836998753431198941e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.63
Order of pole = 720.7
TOP MAIN SOLVE Loop
x[1] = -0.718
y[1] (analytic) = 10.082289307835804757509692034331
y[1] (numeric) = 10.082289307835804757509692034327
absolute error = 4e-30
relative error = 3.9673529273666643405104719513402e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.62
Order of pole = 719.9
TOP MAIN SOLVE Loop
x[1] = -0.717
y[1] (analytic) = 10.082417912041206175153006674685
y[1] (numeric) = 10.082417912041206175153006674681
absolute error = 4e-30
relative error = 3.9673023226133976031928502891009e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.61
Order of pole = 719.1
TOP MAIN SOLVE Loop
x[1] = -0.716
y[1] (analytic) = 10.082546617079954637073982296902
y[1] (numeric) = 10.082546617079954637073982296898
absolute error = 4e-30
relative error = 3.9672516794754532828743571174625e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.59
Order of pole = 718.3
TOP MAIN SOLVE Loop
x[1] = -0.715
y[1] (analytic) = 10.082675422953366025212868752166
y[1] (numeric) = 10.082675422953366025212868752162
absolute error = 4e-30
relative error = 3.9672009979553029544462139057661e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.58
Order of pole = 717.5
TOP MAIN SOLVE Loop
x[1] = -0.714
y[1] (analytic) = 10.082804329662757298317932709686
y[1] (numeric) = 10.082804329662757298317932709682
absolute error = 4e-30
relative error = 3.9671502780554199724066423789864e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.57
Order of pole = 716.7
TOP MAIN SOLVE Loop
x[1] = -0.713
y[1] (analytic) = 10.082933337209446492069342001513
y[1] (numeric) = 10.082933337209446492069342001509
absolute error = 4e-30
relative error = 3.9670995197782794705282963358146e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.56
Order of pole = 715.9
TOP MAIN SOLVE Loop
x[1] = -0.712
y[1] (analytic) = 10.083062445594752719203159854041
y[1] (numeric) = 10.083062445594752719203159854037
absolute error = 4e-30
relative error = 3.9670487231263583615254675876750e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.54
Order of pole = 715.1
TOP MAIN SOLVE Loop
x[1] = -0.711
y[1] (analytic) = 10.083191654819996169635449039309
y[1] (numeric) = 10.083191654819996169635449039305
absolute error = 4e-30
relative error = 3.9669978881021353367210660921386e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.53
Order of pole = 714.4
TOP MAIN SOLVE Loop
x[1] = -0.71
y[1] (analytic) = 10.083320964886498110586485979227
y[1] (numeric) = 10.083320964886498110586485979223
absolute error = 4e-30
relative error = 3.9669470147080908657133743542485e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.52
Order of pole = 713.6
TOP MAIN SOLVE Loop
x[1] = -0.709
y[1] (analytic) = 10.083450375795580886705084835894
y[1] (numeric) = 10.08345037579558088670508483589
absolute error = 4e-30
relative error = 3.9668961029467071960425761693140e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.51
Order of pole = 712.8
TOP MAIN SOLVE Loop
memory used=34.3MB, alloc=4.3MB, time=1.40
x[1] = -0.708
y[1] (analytic) = 10.083579887548567920193031621214
y[1] (numeric) = 10.083579887548567920193031621211
absolute error = 3e-30
relative error = 2.9751338646153512646427948355749e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.49
Order of pole = 712.1
TOP MAIN SOLVE Loop
x[1] = -0.707
y[1] (analytic) = 10.083709500146783710929628359038
y[1] (numeric) = 10.083709500146783710929628359034
absolute error = 4e-30
relative error = 3.9667941643318601385794955267235e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.48
Order of pole = 711.3
TOP MAIN SOLVE Loop
x[1] = -0.706
y[1] (analytic) = 10.083839213591553836596347333087
y[1] (numeric) = 10.083839213591553836596347333083
absolute error = 4e-30
relative error = 3.9667431374833701325726880489471e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.47
Order of pole = 710.6
TOP MAIN SOLVE Loop
x[1] = -0.705
y[1] (analytic) = 10.083969027884204952801595453982
y[1] (numeric) = 10.083969027884204952801595453978
absolute error = 4e-30
relative error = 3.9666920722774876908052031379159e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.46
Order of pole = 709.9
TOP MAIN SOLVE Loop
x[1] = -0.704
y[1] (analytic) = 10.084098943026064793205588778675
y[1] (numeric) = 10.084098943026064793205588778671
absolute error = 4e-30
relative error = 3.9666409687167039455167692877939e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.45
Order of pole = 709.1
TOP MAIN SOLVE Loop
x[1] = -0.703
y[1] (analytic) = 10.084228959018462169645337215676
y[1] (numeric) = 10.084228959018462169645337215672
absolute error = 4e-30
relative error = 3.9665898268035118048834540351006e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.43
Order of pole = 708.4
TOP MAIN SOLVE Loop
x[1] = -0.702
y[1] (analytic) = 10.084359075862726972259739449451
y[1] (numeric) = 10.084359075862726972259739449447
absolute error = 4e-30
relative error = 3.9665386465404059526826151549461e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.42
Order of pole = 707.7
TOP MAIN SOLVE Loop
x[1] = -0.701
y[1] (analytic) = 10.084489293560190169614788117434
y[1] (numeric) = 10.084489293560190169614788117431
absolute error = 3e-30
relative error = 2.9748655709474121359682200915454e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.41
Order of pole = 706.9
TOP MAIN SOLVE Loop
x[1] = -0.7
y[1] (analytic) = 10.084619612112183808828885273108
y[1] (numeric) = 10.084619612112183808828885273105
absolute error = 3e-30
relative error = 2.9748271282308305435117854329232e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.4
Order of pole = 706.2
TOP MAIN SOLVE Loop
x[1] = -0.699
y[1] (analytic) = 10.084750031520041015698268168648
y[1] (numeric) = 10.084750031520041015698268168644
absolute error = 4e-30
relative error = 3.9663848756765795914255618731315e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.39
Order of pole = 705.5
TOP MAIN SOLVE Loop
x[1] = -0.698
y[1] (analytic) = 10.084880551785095994822545390661
y[1] (numeric) = 10.084880551785095994822545390657
absolute error = 4e-30
relative error = 3.9663335420388012310147011069085e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.38
Order of pole = 704.8
TOP MAIN SOLVE Loop
memory used=38.1MB, alloc=4.3MB, time=1.56
x[1] = -0.697
y[1] (analytic) = 10.085011172908684029730343382582
y[1] (numeric) = 10.085011172908684029730343382578
absolute error = 4e-30
relative error = 3.9662821700636092002000003802596e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.37
Order of pole = 704.1
TOP MAIN SOLVE Loop
x[1] = -0.696
y[1] (analytic) = 10.085141894892141483005063387314
y[1] (numeric) = 10.08514189489214148300506338731
absolute error = 4e-30
relative error = 3.9662307597535088293179353611230e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.35
Order of pole = 703.4
TOP MAIN SOLVE Loop
x[1] = -0.695
y[1] (analytic) = 10.085272717736805796410748843742
y[1] (numeric) = 10.085272717736805796410748843739
absolute error = 3e-30
relative error = 2.9746344833332554164659744158523e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.34
Order of pole = 702.7
TOP MAIN SOLVE Loop
x[1] = -0.694
y[1] (analytic) = 10.08540364144401549101806327079
y[1] (numeric) = 10.085403641444015491018063270786
absolute error = 4e-30
relative error = 3.9661278241386132546090220230602e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.33
Order of pole = 702
TOP MAIN SOLVE Loop
x[1] = -0.693
y[1] (analytic) = 10.085534666015110167330378672691
y[1] (numeric) = 10.085534666015110167330378672687
absolute error = 4e-30
relative error = 3.9660762988388375763557656324191e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.32
Order of pole = 701.4
TOP MAIN SOLVE Loop
x[1] = -0.692
y[1] (analytic) = 10.085665791451430505409974499225
y[1] (numeric) = 10.085665791451430505409974499221
absolute error = 4e-30
relative error = 3.9660247352141926085079608943033e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.31
Order of pole = 700.7
TOP MAIN SOLVE Loop
x[1] = -0.691
y[1] (analytic) = 10.085797017754318265004347194661
y[1] (numeric) = 10.085797017754318265004347194656
absolute error = 5e-30
relative error = 4.9574664165839906803495256037517e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.3
Order of pole = 700
TOP MAIN SOLVE Loop
x[1] = -0.69
y[1] (analytic) = 10.0859283449251162856726303692
y[1] (numeric) = 10.085928344925116285672630369195
absolute error = 5e-30
relative error = 4.9574018662504416855599093735418e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.29
Order of pole = 699.3
TOP MAIN SOLVE Loop
x[1] = -0.689
y[1] (analytic) = 10.086059772965168486912125626757
y[1] (numeric) = 10.086059772965168486912125626752
absolute error = 5e-30
relative error = 4.9573372680202409462690831915779e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.28
Order of pole = 698.7
TOP MAIN SOLVE Loop
x[1] = -0.688
y[1] (analytic) = 10.086191301875819868284944082919
y[1] (numeric) = 10.086191301875819868284944082914
absolute error = 5e-30
relative error = 4.9572726218965378460887884376005e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.27
Order of pole = 698
TOP MAIN SOLVE Loop
x[1] = -0.687
y[1] (analytic) = 10.086322931658416509544758606989
y[1] (numeric) = 10.086322931658416509544758606984
absolute error = 5e-30
relative error = 4.9572079278824839818165057964567e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.26
Order of pole = 697.4
TOP MAIN SOLVE Loop
memory used=41.9MB, alloc=4.4MB, time=1.73
x[1] = -0.686
y[1] (analytic) = 10.086454662314305570763666822028
y[1] (numeric) = 10.086454662314305570763666822023
absolute error = 5e-30
relative error = 4.9571431859812331630121540041896e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.25
Order of pole = 696.7
TOP MAIN SOLVE Loop
x[1] = -0.685
y[1] (analytic) = 10.086586493844835292459164896857
y[1] (numeric) = 10.086586493844835292459164896852
absolute error = 5e-30
relative error = 4.9570783961959414115745087437517e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.24
Order of pole = 696.1
TOP MAIN SOLVE Loop
x[1] = -0.684
y[1] (analytic) = 10.086718426251354995721232164015
y[1] (numeric) = 10.08671842625135499572123216401
absolute error = 5e-30
relative error = 4.9570135585297669613173417836237e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.22
Order of pole = 695.4
TOP MAIN SOLVE Loop
x[1] = -0.683
y[1] (analytic) = 10.086850459535215082339526597683
y[1] (numeric) = 10.086850459535215082339526597678
absolute error = 5e-30
relative error = 4.9569486729858702575452804526839e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.21
Order of pole = 694.8
TOP MAIN SOLVE Loop
x[1] = -0.682
y[1] (analytic) = 10.086982593697767034930691185645
y[1] (numeric) = 10.08698259369776703493069118564
absolute error = 5e-30
relative error = 4.9568837395674139566293875447109e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.2
Order of pole = 694.2
TOP MAIN SOLVE Loop
x[1] = -0.681
y[1] (analytic) = 10.087114828740363417065771229372
y[1] (numeric) = 10.087114828740363417065771229367
absolute error = 5e-30
relative error = 4.9568187582775629255824617459661e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.19
Order of pole = 693.5
TOP MAIN SOLVE Loop
x[1] = -0.68
y[1] (analytic) = 10.087247164664357873397742606346
y[1] (numeric) = 10.087247164664357873397742606341
absolute error = 5e-30
relative error = 4.9567537291194842416340586793552e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.18
Order of pole = 692.9
TOP MAIN SOLVE Loop
x[1] = -0.679
y[1] (analytic) = 10.087379601471105129789151028789
y[1] (numeric) = 10.087379601471105129789151028784
absolute error = 5e-30
relative error = 4.9566886520963471918052326587156e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.17
Order of pole = 692.3
TOP MAIN SOLVE Loop
x[1] = -0.678
y[1] (analytic) = 10.087512139161960993439862332987
y[1] (numeric) = 10.087512139161960993439862332982
absolute error = 5e-30
relative error = 4.9566235272113232724829992468302e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.16
Order of pole = 691.7
TOP MAIN SOLVE Loop
x[1] = -0.677
y[1] (analytic) = 10.087644777738282353014923833423
y[1] (numeric) = 10.087644777738282353014923833418
absolute error = 5e-30
relative error = 4.9565583544675861889945187108292e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.15
Order of pole = 691.1
TOP MAIN SOLVE Loop
x[1] = -0.676
y[1] (analytic) = 10.08777751720142717877253677599
y[1] (numeric) = 10.087777517201427178772536775985
absolute error = 5e-30
relative error = 4.9564931338683118551810004686815e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.14
Order of pole = 690.5
TOP MAIN SOLVE Loop
memory used=45.7MB, alloc=4.4MB, time=1.89
x[1] = -0.675
y[1] (analytic) = 10.087910357552754522692139924557
y[1] (numeric) = 10.087910357552754522692139924552
absolute error = 5e-30
relative error = 4.9564278654166783929713286205427e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.13
Order of pole = 689.8
TOP MAIN SOLVE Loop
x[1] = -0.674
y[1] (analytic) = 10.088043298793624518602604315232
y[1] (numeric) = 10.088043298793624518602604315227
absolute error = 5e-30
relative error = 4.9563625491158661319554086587667e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.12
Order of pole = 689.2
TOP MAIN SOLVE Loop
x[1] = -0.673
y[1] (analytic) = 10.088176340925398382310539212656
y[1] (numeric) = 10.088176340925398382310539212651
absolute error = 5e-30
relative error = 4.9562971849690576089572354504557e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.11
Order of pole = 688.7
TOP MAIN SOLVE Loop
x[1] = -0.672
y[1] (analytic) = 10.088309483949438411728709302737
y[1] (numeric) = 10.088309483949438411728709302733
absolute error = 4e-30
relative error = 3.9649854183835500540861460691686e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.1
Order of pole = 688.1
TOP MAIN SOLVE Loop
x[1] = -0.671
y[1] (analytic) = 10.088442727867107987004563156241
y[1] (numeric) = 10.088442727867107987004563156236
absolute error = 5e-30
relative error = 4.9561663131501929579170131908066e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.09
Order of pole = 687.5
TOP MAIN SOLVE Loop
x[1] = -0.67
y[1] (analytic) = 10.088576072679771570648872997686
y[1] (numeric) = 10.088576072679771570648872997681
absolute error = 5e-30
relative error = 4.9561008054845129358471122845715e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.09
Order of pole = 686.9
TOP MAIN SOLVE Loop
x[1] = -0.669
y[1] (analytic) = 10.088709518388794707664485814054
y[1] (numeric) = 10.088709518388794707664485814049
absolute error = 5e-30
relative error = 4.9560352499855888628834407982868e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.08
Order of pole = 686.3
TOP MAIN SOLVE Loop
x[1] = -0.668
y[1] (analytic) = 10.088843064995544025675185837817
y[1] (numeric) = 10.088843064995544025675185837813
absolute error = 4e-30
relative error = 3.9647757173252914444853690615997e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.07
Order of pole = 685.7
TOP MAIN SOLVE Loop
x[1] = -0.667
y[1] (analytic) = 10.088976712501387235054668438861
y[1] (numeric) = 10.088976712501387235054668438857
absolute error = 4e-30
relative error = 3.9647231964006280282114285777339e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.06
Order of pole = 685.2
TOP MAIN SOLVE Loop
x[1] = -0.666
y[1] (analytic) = 10.089110460907693129055625459872
y[1] (numeric) = 10.089110460907693129055625459868
absolute error = 4e-30
relative error = 3.9646706372170392218730356917062e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.05
Order of pole = 684.6
TOP MAIN SOLVE Loop
x[1] = -0.665
y[1] (analytic) = 10.089244310215831583938942029832
y[1] (numeric) = 10.089244310215831583938942029828
absolute error = 4e-30
relative error = 3.9646180397770851689051831703630e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.04
Order of pole = 684
TOP MAIN SOLVE Loop
memory used=49.5MB, alloc=4.4MB, time=2.05
x[1] = -0.664
y[1] (analytic) = 10.089378260427173559103004890269
y[1] (numeric) = 10.089378260427173559103004890265
absolute error = 4e-30
relative error = 3.9645654040833277754462029771483e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.03
Order of pole = 683.5
TOP MAIN SOLVE Loop
x[1] = -0.663
y[1] (analytic) = 10.08951231154309109721312226896
y[1] (numeric) = 10.089512311543091097213122268956
absolute error = 4e-30
relative error = 3.9645127301383307099939949778007e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.02
Order of pole = 682.9
TOP MAIN SOLVE Loop
x[1] = -0.662
y[1] (analytic) = 10.089646463564957324331055335805
y[1] (numeric) = 10.0896464635649573243310553358
absolute error = 5e-30
relative error = 4.9555750224308242538275418661005e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10.01
Order of pole = 682.4
TOP MAIN SOLVE Loop
x[1] = -0.661
y[1] (analytic) = 10.089780716494146450044661275632
y[1] (numeric) = 10.089780716494146450044661275627
absolute error = 5e-30
relative error = 4.9555090843811013085439397159024e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 10
Order of pole = 681.8
TOP MAIN SOLVE Loop
x[1] = -0.66
y[1] (analytic) = 10.089915070332033767597648012739
y[1] (numeric) = 10.089915070332033767597648012734
absolute error = 5e-30
relative error = 4.9554430985269557435313805880585e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.993
Order of pole = 681.3
TOP MAIN SOLVE Loop
x[1] = -0.659
y[1] (analytic) = 10.090049525079995654019440621973
y[1] (numeric) = 10.090049525079995654019440621968
absolute error = 5e-30
relative error = 4.9553770648716009519073852359088e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.984
Order of pole = 680.7
TOP MAIN SOLVE Loop
x[1] = -0.658
y[1] (analytic) = 10.090184080739409570255159461232
y[1] (numeric) = 10.090184080739409570255159461227
absolute error = 5e-30
relative error = 4.9553109834182525275862002200122e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.975
Order of pole = 680.2
TOP MAIN SOLVE Loop
x[1] = -0.657
y[1] (analytic) = 10.090318737311654061295710060265
y[1] (numeric) = 10.09031873731165406129571006026
absolute error = 5e-30
relative error = 4.9552448541701282648474190599709e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.966
Order of pole = 679.6
TOP MAIN SOLVE Loop
x[1] = -0.656
y[1] (analytic) = 10.090453494798108756307984800704
y[1] (numeric) = 10.0904534947981087563079848007
absolute error = 4e-30
relative error = 3.9641429417043585263234610100384e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.957
Order of pole = 679.1
TOP MAIN SOLVE Loop
x[1] = -0.655
y[1] (analytic) = 10.090588353200154368765176422293
y[1] (numeric) = 10.090588353200154368765176422289
absolute error = 4e-30
relative error = 3.9640899618419475203775714567117e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.949
Order of pole = 678.6
TOP MAIN SOLVE Loop
x[1] = -0.654
y[1] (analytic) = 10.090723312519172696577203390295
y[1] (numeric) = 10.090723312519172696577203390291
absolute error = 4e-30
relative error = 3.9640369437514491082679390237715e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.94
Order of pole = 678.1
TOP MAIN SOLVE Loop
memory used=53.4MB, alloc=4.4MB, time=2.22
x[1] = -0.653
y[1] (analytic) = 10.090858372756546622221247159122
y[1] (numeric) = 10.090858372756546622221247159118
absolute error = 4e-30
relative error = 3.9639838874354445631318851691038e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.931
Order of pole = 677.5
TOP MAIN SOLVE Loop
x[1] = -0.652
y[1] (analytic) = 10.090993533913660112872401367237
y[1] (numeric) = 10.090993533913660112872401367233
absolute error = 4e-30
relative error = 3.9639307928965169166701695582337e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.923
Order of pole = 677
TOP MAIN SOLVE Loop
x[1] = -0.651
y[1] (analytic) = 10.091128795991898220534432998429
y[1] (numeric) = 10.091128795991898220534432998424
absolute error = 5e-30
relative error = 4.9548470751715636985006974131777e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.914
Order of pole = 676.5
TOP MAIN SOLVE Loop
x[1] = -0.65
y[1] (analytic) = 10.091264158992647082170655544587
y[1] (numeric) = 10.091264158992647082170655544582
absolute error = 5e-30
relative error = 4.9547806114502915466389609027836e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.906
Order of pole = 676
TOP MAIN SOLVE Loop
x[1] = -0.649
y[1] (analytic) = 10.091399622917293919834914205147
y[1] (numeric) = 10.091399622917293919834914205142
absolute error = 5e-30
relative error = 4.9547140999600650718919981526236e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.897
Order of pole = 675.5
TOP MAIN SOLVE Loop
x[1] = -0.648
y[1] (analytic) = 10.091535187767227040802683158391
y[1] (numeric) = 10.091535187767227040802683158386
absolute error = 5e-30
relative error = 4.9546475407041218523697830454506e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.889
Order of pole = 675
TOP MAIN SOLVE Loop
x[1] = -0.647
y[1] (analytic) = 10.091670853543835837702274939847
y[1] (numeric) = 10.091670853543835837702274939842
absolute error = 5e-30
relative error = 4.9545809336857016622186217981701e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.88
Order of pole = 674.5
TOP MAIN SOLVE Loop
x[1] = -0.646
y[1] (analytic) = 10.091806620248510788646161963042
y[1] (numeric) = 10.091806620248510788646161963037
absolute error = 5e-30
relative error = 4.9545142789080464711867309759772e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.872
Order of pole = 674
TOP MAIN SOLVE Loop
x[1] = -0.645
y[1] (analytic) = 10.091942487882643457362410217914
y[1] (numeric) = 10.091942487882643457362410217909
absolute error = 5e-30
relative error = 4.9544475763744004441895394285396e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.864
Order of pole = 673.5
TOP MAIN SOLVE Loop
x[1] = -0.644
y[1] (analytic) = 10.092078456447626493326225182212
y[1] (numeric) = 10.092078456447626493326225182208
absolute error = 4e-30
relative error = 3.9635046608704079526997713948869e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.856
Order of pole = 673
TOP MAIN SOLVE Loop
x[1] = -0.643
y[1] (analytic) = 10.092214525944853631891609981257
y[1] (numeric) = 10.092214525944853631891609981253
absolute error = 4e-30
relative error = 3.9634512224416988121495286507872e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.847
Order of pole = 672.5
TOP MAIN SOLVE Loop
memory used=57.2MB, alloc=4.4MB, time=2.38
x[1] = -0.642
y[1] (analytic) = 10.092350696375719694423135831452
y[1] (numeric) = 10.092350696375719694423135831447
absolute error = 5e-30
relative error = 4.9542471822699919149322471098215e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.839
Order of pole = 672
TOP MAIN SOLVE Loop
x[1] = -0.641
y[1] (analytic) = 10.092486967741620588427824802986
y[1] (numeric) = 10.092486967741620588427824802981
absolute error = 5e-30
relative error = 4.9541802887448680813425022623111e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.831
Order of pole = 671.5
TOP MAIN SOLVE Loop
x[1] = -0.64
y[1] (analytic) = 10.092623340043953307687144937204
y[1] (numeric) = 10.092623340043953307687144937199
absolute error = 5e-30
relative error = 4.9541133474800071486390395368087e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.823
Order of pole = 671
TOP MAIN SOLVE Loop
x[1] = -0.639
y[1] (analytic) = 10.09275981328411593238911775413
y[1] (numeric) = 10.092759813284115932389117754125
absolute error = 5e-30
relative error = 4.9540463584786664435964538085648e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.815
Order of pole = 670.6
TOP MAIN SOLVE Loop
x[1] = -0.638
y[1] (analytic) = 10.092896387463507629260538185695
y[1] (numeric) = 10.09289638746350762926053818569
absolute error = 5e-30
relative error = 4.9539793217441054851059436262312e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.807
Order of pole = 670.1
TOP MAIN SOLVE Loop
x[1] = -0.637
y[1] (analytic) = 10.09303306258352865169930697023
y[1] (numeric) = 10.093033062583528651699306970225
absolute error = 5e-30
relative error = 4.9539122372795859837384079623887e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.799
Order of pole = 669.6
TOP MAIN SOLVE Loop
x[1] = -0.636
y[1] (analytic) = 10.093169838645580339906875543841
y[1] (numeric) = 10.093169838645580339906875543836
absolute error = 5e-30
relative error = 4.9538451050883718413072677463797e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.791
Order of pole = 669.1
TOP MAIN SOLVE Loop
x[1] = -0.635
y[1] (analytic) = 10.093306715651065121020803464288
y[1] (numeric) = 10.093306715651065121020803464283
absolute error = 5e-30
relative error = 4.9537779251737291504310122752964e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.784
Order of pole = 668.7
TOP MAIN SOLVE Loop
x[1] = -0.634
y[1] (analytic) = 10.093443693601386509247428403055
y[1] (numeric) = 10.09344369360138650924742840305
absolute error = 5e-30
relative error = 4.9537106975389261940954705990091e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.776
Order of pole = 668.2
TOP MAIN SOLVE Loop
x[1] = -0.633
y[1] (analytic) = 10.093580772497949105994648741313
y[1] (numeric) = 10.093580772497949105994648741308
absolute error = 5e-30
relative error = 4.9536434221872334452158079751816e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.768
Order of pole = 667.8
TOP MAIN SOLVE Loop
x[1] = -0.632
y[1] (analytic) = 10.093717952342158600004818805517
y[1] (numeric) = 10.093717952342158600004818805512
absolute error = 5e-30
relative error = 4.9535760991219235661982474902670e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.76
Order of pole = 667.3
TOP MAIN SOLVE Loop
memory used=61.0MB, alloc=4.4MB, time=2.54
x[1] = -0.631
y[1] (analytic) = 10.09385523313542176748775677841
y[1] (numeric) = 10.093855233135421767487756778405
absolute error = 5e-30
relative error = 4.9535087283462714085015169425340e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.753
Order of pole = 666.8
TOP MAIN SOLVE Loop
x[1] = -0.63
y[1] (analytic) = 10.09399261487914647225386532125
y[1] (numeric) = 10.093992614879146472253865321245
absolute error = 5e-30
relative error = 4.9534413098635540121980210832135e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.745
Order of pole = 666.4
TOP MAIN SOLVE Loop
x[1] = -0.629
y[1] (analytic) = 10.094130097574741665847364943097
y[1] (numeric) = 10.094130097574741665847364943093
absolute error = 4e-30
relative error = 3.9626990749416404844277914495360e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.738
Order of pole = 665.9
TOP MAIN SOLVE Loop
x[1] = -0.628
y[1] (analytic) = 10.094267681223617387679640153045
y[1] (numeric) = 10.094267681223617387679640153041
absolute error = 4e-30
relative error = 3.9626450638320340835950791380332e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.73
Order of pole = 665.5
TOP MAIN SOLVE Loop
x[1] = -0.627
y[1] (analytic) = 10.094405365827184765162698431298
y[1] (numeric) = 10.094405365827184765162698431294
absolute error = 4e-30
relative error = 3.9625910145646508898824591966840e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.723
Order of pole = 665.1
TOP MAIN SOLVE Loop
x[1] = -0.626
y[1] (analytic) = 10.094543151386856013842742055056
y[1] (numeric) = 10.094543151386856013842742055052
absolute error = 4e-30
relative error = 3.9625369271421195353966080281261e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.715
Order of pole = 664.6
TOP MAIN SOLVE Loop
x[1] = -0.625
y[1] (analytic) = 10.094681037904044437533852815176
y[1] (numeric) = 10.094681037904044437533852815173
absolute error = 3e-30
relative error = 2.9718621011753028010324046647645e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.708
Order of pole = 664.2
TOP MAIN SOLVE Loop
x[1] = -0.624
y[1] (analytic) = 10.09481902538016442845178965963
y[1] (numeric) = 10.094819025380164428451789659626
absolute error = 4e-30
relative error = 3.9624286378421356178412263386709e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.701
Order of pole = 663.7
TOP MAIN SOLVE Loop
x[1] = -0.623
y[1] (analytic) = 10.094957113816631467347899299802
y[1] (numeric) = 10.094957113816631467347899299798
absolute error = 4e-30
relative error = 3.9623744359699490632370015534455e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.693
Order of pole = 663.3
TOP MAIN SOLVE Loop
x[1] = -0.622
y[1] (analytic) = 10.095095303214862123643139815723
y[1] (numeric) = 10.09509530321486212364313981572
absolute error = 3e-30
relative error = 2.9717401469648597730635563681183e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.686
Order of pole = 662.9
TOP MAIN SOLVE Loop
x[1] = -0.621
y[1] (analytic) = 10.095233593576274055562217296347
y[1] (numeric) = 10.095233593576274055562217296344
absolute error = 3e-30
relative error = 2.9716994383457736709701233052721e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.679
Order of pole = 662.4
TOP MAIN SOLVE Loop
memory used=64.8MB, alloc=4.4MB, time=2.71
x[1] = -0.62
y[1] (analytic) = 10.095371984902286010267835551025
y[1] (numeric) = 10.095371984902286010267835551022
absolute error = 3e-30
relative error = 2.9716587011221828323554290621205e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.672
Order of pole = 662
TOP MAIN SOLVE Loop
x[1] = -0.619
y[1] (analytic) = 10.095510477194317823995058928366
y[1] (numeric) = 10.095510477194317823995058928362
absolute error = 4e-30
relative error = 3.9621572470614238782513791868377e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.664
Order of pole = 661.6
TOP MAIN SOLVE Loop
x[1] = -0.618
y[1] (analytic) = 10.095649070453790422185788278705
y[1] (numeric) = 10.095649070453790422185788278701
absolute error = 4e-30
relative error = 3.9621028544925478152457521843790e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.657
Order of pole = 661.2
TOP MAIN SOLVE Loop
x[1] = -0.617
y[1] (analytic) = 10.095787764682125819623350096437
y[1] (numeric) = 10.095787764682125819623350096433
absolute error = 4e-30
relative error = 3.9620484237922599490506982025869e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.65
Order of pole = 660.8
TOP MAIN SOLVE Loop
x[1] = -0.616
y[1] (analytic) = 10.095926559880747120567198878499
y[1] (numeric) = 10.095926559880747120567198878495
absolute error = 4e-30
relative error = 3.9619939549632063872129349292567e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.643
Order of pole = 660.4
TOP MAIN SOLVE Loop
x[1] = -0.615
y[1] (analytic) = 10.096065456051078518887732735329
y[1] (numeric) = 10.096065456051078518887732735325
absolute error = 4e-30
relative error = 3.9619394480080349828778752895592e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.636
Order of pole = 659.9
TOP MAIN SOLVE Loop
x[1] = -0.614
y[1] (analytic) = 10.096204453194545298201222290668
y[1] (numeric) = 10.096204453194545298201222290665
absolute error = 3e-30
relative error = 2.9714136771970465008262952336163e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.629
Order of pole = 659.5
TOP MAIN SOLVE Loop
x[1] = -0.613
y[1] (analytic) = 10.096343551312573832004852906588
y[1] (numeric) = 10.096343551312573832004852906585
absolute error = 3e-30
relative error = 2.9713727397974540888725301932084e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.622
Order of pole = 659.1
TOP MAIN SOLVE Loop
x[1] = -0.612
y[1] (analytic) = 10.096482750406591583811880270176
y[1] (numeric) = 10.096482750406591583811880270173
absolute error = 3e-30
relative error = 2.9713317738092388171570280755449e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.615
Order of pole = 658.7
TOP MAIN SOLVE Loop
x[1] = -0.611
y[1] (analytic) = 10.096622050478027107286899378345
y[1] (numeric) = 10.096622050478027107286899378342
absolute error = 3e-30
relative error = 2.9712907792343918096740430658066e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.609
Order of pole = 658.3
TOP MAIN SOLVE Loop
x[1] = -0.61
y[1] (analytic) = 10.09676145152831004638122695726
y[1] (numeric) = 10.096761451528310046381226957257
absolute error = 3e-30
relative error = 2.9712497560749054982855866020982e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.602
Order of pole = 657.9
TOP MAIN SOLVE Loop
memory used=68.6MB, alloc=4.4MB, time=2.87
x[1] = -0.609
y[1] (analytic) = 10.096900953558871135468397352914
y[1] (numeric) = 10.096900953558871135468397352912
absolute error = 2e-30
relative error = 1.9808058028885157483031224036779e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.595
Order of pole = 657.5
TOP MAIN SOLVE Loop
x[1] = -0.608
y[1] (analytic) = 10.097040556571142199479771929427
y[1] (numeric) = 10.097040556571142199479771929424
absolute error = 3e-30
relative error = 2.9711676240099912289784652012730e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.588
Order of pole = 657.1
TOP MAIN SOLVE Loop
x[1] = -0.607
y[1] (analytic) = 10.097180260566556154040262011651
y[1] (numeric) = 10.097180260566556154040262011648
absolute error = 3e-30
relative error = 2.9711265151085546717210979892245e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.582
Order of pole = 656.7
TOP MAIN SOLVE Loop
x[1] = -0.606
y[1] (analytic) = 10.097320065546547005604165408744
y[1] (numeric) = 10.097320065546547005604165408741
absolute error = 3e-30
relative error = 2.9710853776304616113465499222007e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.575
Order of pole = 656.4
TOP MAIN SOLVE Loop
x[1] = -0.605
y[1] (analytic) = 10.097459971512549851591116555356
y[1] (numeric) = 10.097459971512549851591116555353
absolute error = 3e-30
relative error = 2.9710442115777110150511928505427e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.568
Order of pole = 656
TOP MAIN SOLVE Loop
x[1] = -0.604
y[1] (analytic) = 10.097599978466000880522150307152
y[1] (numeric) = 10.097599978466000880522150307149
absolute error = 3e-30
relative error = 2.9710030169523031562962417912975e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.562
Order of pole = 655.6
TOP MAIN SOLVE Loop
x[1] = -0.603
y[1] (analytic) = 10.097740086408337372155879427402
y[1] (numeric) = 10.0977400864083373721558794274
absolute error = 2e-30
relative error = 1.9806411958374930763600206536981e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.555
Order of pole = 655.2
TOP MAIN SOLVE Loop
x[1] = -0.602
y[1] (analytic) = 10.097880295340997697624785801417
y[1] (numeric) = 10.097880295340997697624785801415
absolute error = 2e-30
relative error = 1.9806136946610155166467511782507e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.549
Order of pole = 654.8
TOP MAIN SOLVE Loop
x[1] = -0.601
y[1] (analytic) = 10.098020605265421319571625415633
y[1] (numeric) = 10.098020605265421319571625415631
absolute error = 2e-30
relative error = 1.9805861744401055521568516053435e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.542
Order of pole = 654.4
TOP MAIN SOLVE Loop
x[1] = -0.6
y[1] (analytic) = 10.098161016183048792285947138202
y[1] (numeric) = 10.0981610161830487922859471382
absolute error = 2e-30
relative error = 1.9805586351761001801181332124828e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.536
Order of pole = 654.1
TOP MAIN SOLVE Loop
x[1] = -0.599
y[1] (analytic) = 10.098301528095321761840725337951
y[1] (numeric) = 10.098301528095321761840725337949
absolute error = 2e-30
relative error = 1.9805310768703372677081355640081e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.529
Order of pole = 653.7
TOP MAIN SOLVE Loop
memory used=72.4MB, alloc=4.4MB, time=3.03
x[1] = -0.598
y[1] (analytic) = 10.098442141003682966229106378638
y[1] (numeric) = 10.098442141003682966229106378636
absolute error = 2e-30
relative error = 1.9805034995241555518751004085461e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.523
Order of pole = 653.3
TOP MAIN SOLVE Loop
x[1] = -0.597
y[1] (analytic) = 10.098582854909576235501269025444
y[1] (numeric) = 10.098582854909576235501269025441
absolute error = 3e-30
relative error = 2.9707138547083419587382554993152e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.516
Order of pole = 653
TOP MAIN SOLVE Loop
x[1] = -0.596
y[1] (analytic) = 10.098723669814446491901398800684
y[1] (numeric) = 10.098723669814446491901398800682
absolute error = 2e-30
relative error = 1.9804482877158950055114788780021e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.51
Order of pole = 652.6
TOP MAIN SOLVE Loop
x[1] = -0.595
y[1] (analytic) = 10.098864585719739750004776325771
y[1] (numeric) = 10.098864585719739750004776325768
absolute error = 3e-30
relative error = 2.9706309798847469941771982348343e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.504
Order of pole = 652.2
TOP MAIN SOLVE Loop
x[1] = -0.594
y[1] (analytic) = 10.099005602626903116854979686457
y[1] (numeric) = 10.099005602626903116854979686454
absolute error = 3e-30
relative error = 2.9705894996430687378261230160923e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.498
Order of pole = 651.9
TOP MAIN SOLVE Loop
x[1] = -0.593
y[1] (analytic) = 10.099146720537384792101200858471
y[1] (numeric) = 10.099146720537384792101200858468
absolute error = 3e-30
relative error = 2.9705479908508223638828361248080e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.491
Order of pole = 651.5
TOP MAIN SOLVE Loop
x[1] = -0.592
y[1] (analytic) = 10.099287939452634068135676230657
y[1] (numeric) = 10.099287939452634068135676230654
absolute error = 3e-30
relative error = 2.9705064535100238000575812605167e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.485
Order of pole = 651.1
TOP MAIN SOLVE Loop
x[1] = -0.591
y[1] (analytic) = 10.099429259374101330231231262772
y[1] (numeric) = 10.099429259374101330231231262769
absolute error = 3e-30
relative error = 2.9704648876226902768323243801904e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.479
Order of pole = 650.8
TOP MAIN SOLVE Loop
x[1] = -0.59
y[1] (analytic) = 10.099570680303238056678939315145
y[1] (numeric) = 10.099570680303238056678939315142
absolute error = 3e-30
relative error = 2.9704232931908403271909132662069e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.473
Order of pole = 650.4
TOP MAIN SOLVE Loop
x[1] = -0.589
y[1] (analytic) = 10.099712202241496818925894687421
y[1] (numeric) = 10.099712202241496818925894687418
absolute error = 3e-30
relative error = 2.9703816702164937863490746992489e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.467
Order of pole = 650.1
TOP MAIN SOLVE Loop
x[1] = -0.588
y[1] (analytic) = 10.099853825190331281713099903646
y[1] (numeric) = 10.099853825190331281713099903643
absolute error = 3e-30
relative error = 2.9703400187016717914842492950588e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.461
Order of pole = 649.7
TOP MAIN SOLVE Loop
memory used=76.2MB, alloc=4.4MB, time=3.20
x[1] = -0.587
y[1] (analytic) = 10.099995549151196203213467281007
y[1] (numeric) = 10.099995549151196203213467281004
absolute error = 3e-30
relative error = 2.9702983386483967814652640639965e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.455
Order of pole = 649.4
TOP MAIN SOLVE Loop
x[1] = -0.586
y[1] (analytic) = 10.100137374125547435169934819541
y[1] (numeric) = 10.100137374125547435169934819538
absolute error = 3e-30
relative error = 2.9702566300586924965818427523876e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.449
Order of pole = 649
TOP MAIN SOLVE Loop
x[1] = -0.585
y[1] (analytic) = 10.100279300114841923033696450199
y[1] (numeric) = 10.100279300114841923033696450196
absolute error = 3e-30
relative error = 2.9702148929345839782739540246684e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.443
Order of pole = 648.7
TOP MAIN SOLVE Loop
x[1] = -0.584
y[1] (analytic) = 10.100421327120537706102546678652
y[1] (numeric) = 10.100421327120537706102546678649
absolute error = 3e-30
relative error = 2.9701731272780975688609975453731e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.437
Order of pole = 648.4
TOP MAIN SOLVE Loop
x[1] = -0.583
y[1] (analytic) = 10.100563455144093917659339662295
y[1] (numeric) = 10.100563455144093917659339662292
absolute error = 3e-30
relative error = 2.9701313330912609112708280200289e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.431
Order of pole = 648
TOP MAIN SOLVE Loop
x[1] = -0.582
y[1] (analytic) = 10.100705684186970785110562757903
y[1] (numeric) = 10.1007056841869707851105627579
absolute error = 3e-30
relative error = 2.9700895103761029487686172540637e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.425
Order of pole = 647.7
TOP MAIN SOLVE Loop
x[1] = -0.581
y[1] (analytic) = 10.100848014250629630125024577466
y[1] (numeric) = 10.100848014250629630125024577463
absolute error = 3e-30
relative error = 2.9700476591346539246855542888521e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.419
Order of pole = 647.4
TOP MAIN SOLVE Loop
x[1] = -0.58
y[1] (analytic) = 10.100990445336532868772657589731
y[1] (numeric) = 10.100990445336532868772657589728
absolute error = 3e-30
relative error = 2.9700057793689453821473836740607e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.413
Order of pole = 647
TOP MAIN SOLVE Loop
x[1] = -0.579
y[1] (analytic) = 10.101132977446144011663435305046
y[1] (numeric) = 10.101132977446144011663435305043
absolute error = 3e-30
relative error = 2.9699638710810101638027819354786e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.407
Order of pole = 646.7
TOP MAIN SOLVE Loop
x[1] = -0.578
y[1] (analytic) = 10.101275610580927664086404081104
y[1] (numeric) = 10.101275610580927664086404081101
absolute error = 3e-30
relative error = 2.9699219342728824115515722975535e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.402
Order of pole = 646.4
TOP MAIN SOLVE Loop
x[1] = -0.577
y[1] (analytic) = 10.101418344742349526148829587249
y[1] (numeric) = 10.101418344742349526148829587246
absolute error = 3e-30
relative error = 2.9698799689465975662727777198777e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.396
Order of pole = 646
TOP MAIN SOLVE Loop
memory used=80.1MB, alloc=4.4MB, time=3.36
x[1] = -0.576
y[1] (analytic) = 10.101561179931876392915457965023
y[1] (numeric) = 10.10156117993187639291545796502
absolute error = 3e-30
relative error = 2.9698379751041923675525123069013e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.39
Order of pole = 645.7
TOP MAIN SOLVE Loop
x[1] = -0.575
y[1] (analytic) = 10.101704116150976154547891722676
y[1] (numeric) = 10.101704116150976154547891722673
absolute error = 3e-30
relative error = 2.9697959527477048534117111501781e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.384
Order of pole = 645.4
TOP MAIN SOLVE Loop
x[1] = -0.574
y[1] (analytic) = 10.10184715340111779644408040139
y[1] (numeric) = 10.101847153401117796444080401387
absolute error = 3e-30
relative error = 2.9697539018791743600336986624794e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.379
Order of pole = 645.1
TOP MAIN SOLVE Loop
x[1] = -0.573
y[1] (analytic) = 10.101990291683771399377926051018
y[1] (numeric) = 10.101990291683771399377926051015
absolute error = 3e-30
relative error = 2.9697118225006415214915954631373e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.373
Order of pole = 644.7
TOP MAIN SOLVE Loop
x[1] = -0.572
y[1] (analytic) = 10.102133531000408139639003553149
y[1] (numeric) = 10.102133531000408139639003553146
absolute error = 3e-30
relative error = 2.9696697146141482694755638740153e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.367
Order of pole = 644.4
TOP MAIN SOLVE Loop
x[1] = -0.571
y[1] (analytic) = 10.102276871352500289172395829378
y[1] (numeric) = 10.102276871352500289172395829375
absolute error = 3e-30
relative error = 2.9696275782217378330198920855222e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.362
Order of pole = 644.1
TOP MAIN SOLVE Loop
x[1] = -0.57
y[1] (analytic) = 10.102420312741521215718643972659
y[1] (numeric) = 10.102420312741521215718643972656
absolute error = 3e-30
relative error = 2.9695854133254547382299170521285e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.356
Order of pole = 643.8
TOP MAIN SOLVE Loop
x[1] = -0.569
y[1] (analytic) = 10.10256385516894538295381233969
y[1] (numeric) = 10.102563855168945382953812339687
absolute error = 3e-30
relative error = 2.9695432199273448080087861768586e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.351
Order of pole = 643.5
TOP MAIN SOLVE Loop
x[1] = -0.568
y[1] (analytic) = 10.102707498636248350629668642287
y[1] (numeric) = 10.102707498636248350629668642284
absolute error = 3e-30
relative error = 2.9695009980294551617840578442744e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.345
Order of pole = 643.2
TOP MAIN SOLVE Loop
x[1] = -0.567
y[1] (analytic) = 10.102851243144906774713979075751
y[1] (numeric) = 10.102851243144906774713979075748
absolute error = 3e-30
relative error = 2.9694587476338342152341408614862e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.34
Order of pole = 642.9
TOP MAIN SOLVE Loop
x[1] = -0.566
y[1] (analytic) = 10.102995088696398407530918522276
y[1] (numeric) = 10.102995088696398407530918522273
absolute error = 3e-30
relative error = 2.9694164687425316800145728667590e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.334
Order of pole = 642.6
TOP MAIN SOLVE Loop
memory used=83.9MB, alloc=4.4MB, time=3.52
x[1] = -0.565
y[1] (analytic) = 10.103139035292202097901595867456
y[1] (numeric) = 10.103139035292202097901595867453
absolute error = 3e-30
relative error = 2.9693741613575985634841377653134e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.329
Order of pole = 642.3
TOP MAIN SOLVE Loop
x[1] = -0.564
y[1] (analytic) = 10.103283082933797791284694468016
y[1] (numeric) = 10.103283082933797791284694468013
absolute error = 3e-30
relative error = 2.9693318254810871684308222519448e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.324
Order of pole = 642
TOP MAIN SOLVE Loop
x[1] = -0.563
y[1] (analytic) = 10.103427231622666529917227808901
y[1] (numeric) = 10.103427231622666529917227808898
absolute error = 3e-30
relative error = 2.9692894611150510927976114801176e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.318
Order of pole = 641.7
TOP MAIN SOLVE Loop
x[1] = -0.562
y[1] (analytic) = 10.10357148136029045295541038791
y[1] (numeric) = 10.103571481360290452955410387907
absolute error = 3e-30
relative error = 2.9692470682615452294081239372180e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.313
Order of pole = 641.4
TOP MAIN SOLVE Loop
x[1] = -0.561
y[1] (analytic) = 10.103715832148152796615643866089
y[1] (numeric) = 10.103715832148152796615643866086
absolute error = 3e-30
relative error = 2.9692046469226257656920855856776e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.308
Order of pole = 641.1
TOP MAIN SOLVE Loop
x[1] = -0.56
y[1] (analytic) = 10.103860283987737894315618522133
y[1] (numeric) = 10.103860283987737894315618522131
absolute error = 2e-30
relative error = 1.9794414647335667889404288864745e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.302
Order of pole = 640.8
TOP MAIN SOLVE Loop
x[1] = -0.559
y[1] (analytic) = 10.10400483688053117681553004909
y[1] (numeric) = 10.104004836880531176815530049088
absolute error = 2e-30
relative error = 1.9794131458645181722543452449606e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.297
Order of pole = 640.5
TOP MAIN SOLVE Loop
x[1] = -0.558
y[1] (analytic) = 10.10414949082801917235941173168
y[1] (numeric) = 10.104149490828019172359411731677
absolute error = 3e-30
relative error = 2.9690772120139670602039959881980e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.292
Order of pole = 640.2
TOP MAIN SOLVE Loop
x[1] = -0.557
y[1] (analytic) = 10.104294245831689506816582042596
y[1] (numeric) = 10.104294245831689506816582042594
absolute error = 2e-30
relative error = 1.9793564511693206346558415832323e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.287
Order of pole = 639.9
TOP MAIN SOLVE Loop
x[1] = -0.556
y[1] (analytic) = 10.104439101893030903823207696187
y[1] (numeric) = 10.104439101893030903823207696185
absolute error = 2e-30
relative error = 1.9793280753459210600383806473182e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.281
Order of pole = 639.6
TOP MAIN SOLVE Loop
x[1] = -0.555
y[1] (analytic) = 10.104584059013533184923982197929
y[1] (numeric) = 10.104584059013533184923982197927
absolute error = 2e-30
relative error = 1.9792996805404886158118373152252e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.276
Order of pole = 639.3
TOP MAIN SOLVE Loop
x[1] = -0.554
y[1] (analytic) = 10.104729117194687269713919928179
y[1] (numeric) = 10.104729117194687269713919928177
absolute error = 2e-30
relative error = 1.9792712667544001299577216706459e-29 %
Correct digits = 30
h = 0.001
memory used=87.7MB, alloc=4.4MB, time=3.69
Real estimate of pole used for equation 1
Radius of convergence = 9.271
Order of pole = 639
TOP MAIN SOLVE Loop
x[1] = -0.553
y[1] (analytic) = 10.104874276437985175980265798695
y[1] (numeric) = 10.104874276437985175980265798694
absolute error = 1e-30
relative error = 9.8962141699451664603014568214231e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.266
Order of pole = 638.7
TOP MAIN SOLVE Loop
x[1] = -0.552
y[1] (analytic) = 10.105019536744920019844520520466
y[1] (numeric) = 10.105019536744920019844520520465
absolute error = 1e-30
relative error = 9.8960719112288332656128588220269e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.261
Order of pole = 638.5
TOP MAIN SOLVE Loop
x[1] = -0.551
y[1] (analytic) = 10.105164898116986015904581521419
y[1] (numeric) = 10.105164898116986015904581521418
absolute error = 1e-30
relative error = 9.8959295576298981269113467521943e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.256
Order of pole = 638.2
TOP MAIN SOLVE Loop
x[1] = -0.55
y[1] (analytic) = 10.105310360555678477376999552621
y[1] (numeric) = 10.10531036055567847737699955262
absolute error = 1e-30
relative error = 9.8957871091552624106378919483416e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.251
Order of pole = 637.9
TOP MAIN SOLVE Loop
x[1] = -0.549
y[1] (analytic) = 10.105455924062493816239351021614
y[1] (numeric) = 10.105455924062493816239351021613
absolute error = 1e-30
relative error = 9.8956445658118317875644046851704e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.246
Order of pole = 637.6
TOP MAIN SOLVE Loop
x[1] = -0.548
y[1] (analytic) = 10.105601588638929543372726091565
y[1] (numeric) = 10.105601588638929543372726091564
absolute error = 1e-30
relative error = 9.8955019276065162318717009905732e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.241
Order of pole = 637.4
TOP MAIN SOLVE Loop
x[1] = -0.547
y[1] (analytic) = 10.105747354286484268704332584945
y[1] (numeric) = 10.105747354286484268704332584945
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.236
Order of pole = 637.1
TOP MAIN SOLVE Loop
x[1] = -0.546
y[1] (analytic) = 10.105893221006657701350215730499
y[1] (numeric) = 10.105893221006657701350215730499
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.231
Order of pole = 636.8
TOP MAIN SOLVE Loop
x[1] = -0.545
y[1] (analytic) = 10.106039188800950649758093792275
y[1] (numeric) = 10.106039188800950649758093792275
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.226
Order of pole = 636.5
TOP MAIN SOLVE Loop
x[1] = -0.544
y[1] (analytic) = 10.106185257670865021850309619563
y[1] (numeric) = 10.106185257670865021850309619563
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.221
Order of pole = 636.3
TOP MAIN SOLVE Loop
x[1] = -0.543
y[1] (analytic) = 10.10633142761790382516689815658
y[1] (numeric) = 10.106331427617903825166898156579
absolute error = 1e-30
relative error = 9.8947873138938146827838159023821e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.216
Order of pole = 636
TOP MAIN SOLVE Loop
memory used=91.5MB, alloc=4.4MB, time=3.85
x[1] = -0.542
y[1] (analytic) = 10.106477698643571167008769950807
y[1] (numeric) = 10.106477698643571167008769950806
absolute error = 1e-30
relative error = 9.8946441066625398637612212739706e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.211
Order of pole = 635.7
TOP MAIN SOLVE Loop
x[1] = -0.541
y[1] (analytic) = 10.106624070749372254581010698917
y[1] (numeric) = 10.106624070749372254581010698917
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.207
Order of pole = 635.5
TOP MAIN SOLVE Loop
x[1] = -0.54
y[1] (analytic) = 10.106770543936813395136296869247
y[1] (numeric) = 10.106770543936813395136296869247
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.202
Order of pole = 635.2
TOP MAIN SOLVE Loop
x[1] = -0.539
y[1] (analytic) = 10.106917118207401996118427439826
y[1] (numeric) = 10.106917118207401996118427439825
absolute error = 1e-30
relative error = 9.8942139161161290017590497326234e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.197
Order of pole = 634.9
TOP MAIN SOLVE Loop
x[1] = -0.538
y[1] (analytic) = 10.107063793562646565305971791001
y[1] (numeric) = 10.107063793562646565305971791
absolute error = 1e-30
relative error = 9.8940703296729587894581705589780e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.192
Order of pole = 634.7
TOP MAIN SOLVE Loop
x[1] = -0.537
y[1] (analytic) = 10.107210570004056710956033791737
y[1] (numeric) = 10.107210570004056710956033791736
absolute error = 1e-30
relative error = 9.8939266484441971212802249683630e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.187
Order of pole = 634.4
TOP MAIN SOLVE Loop
x[1] = -0.536
y[1] (analytic) = 10.107357447533143141948132118693
y[1] (numeric) = 10.107357447533143141948132118692
absolute error = 1e-30
relative error = 9.8937828724368055402005043834836e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.183
Order of pole = 634.2
TOP MAIN SOLVE Loop
x[1] = -0.535
y[1] (analytic) = 10.107504426151417667928196847237
y[1] (numeric) = 10.107504426151417667928196847236
absolute error = 1e-30
relative error = 9.8936390016577498805683461247663e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.178
Order of pole = 633.9
TOP MAIN SOLVE Loop
x[1] = -0.534
y[1] (analytic) = 10.107651505860393199452682353573
y[1] (numeric) = 10.107651505860393199452682353572
absolute error = 1e-30
relative error = 9.8934950361140002671776567313918e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.173
Order of pole = 633.7
TOP MAIN SOLVE Loop
x[1] = -0.533
y[1] (analytic) = 10.10779868666158374813279656721
y[1] (numeric) = 10.107798686661583748132796567209
absolute error = 1e-30
relative error = 9.8933509758125311143369051139627e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.169
Order of pole = 633.4
TOP MAIN SOLVE Loop
x[1] = -0.532
y[1] (analytic) = 10.107945968556504426778846613018
y[1] (numeric) = 10.107945968556504426778846613017
absolute error = 1e-30
relative error = 9.8932068207603211249385857406232e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.164
Order of pole = 633.2
TOP MAIN SOLVE Loop
memory used=95.3MB, alloc=4.4MB, time=4.01
x[1] = -0.531
y[1] (analytic) = 10.108093351546671449544700882178
y[1] (numeric) = 10.108093351546671449544700882177
absolute error = 1e-30
relative error = 9.8930625709643532895281520585177e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.159
Order of pole = 632.9
TOP MAIN SOLVE Loop
x[1] = -0.53
y[1] (analytic) = 10.108240835633602132072367571343
y[1] (numeric) = 10.108240835633602132072367571342
absolute error = 1e-30
relative error = 9.8929182264316148853724203525947e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.155
Order of pole = 632.7
TOP MAIN SOLVE Loop
x[1] = -0.529
y[1] (analytic) = 10.108388420818814891636689729382
y[1] (numeric) = 10.108388420818814891636689729381
absolute error = 1e-30
relative error = 9.8927737871690974755274442438390e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.15
Order of pole = 632.4
TOP MAIN SOLVE Loop
x[1] = -0.528
y[1] (analytic) = 10.108536107103829247290156851109
y[1] (numeric) = 10.108536107103829247290156851108
absolute error = 1e-30
relative error = 9.8926292531837969079058600291112e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.146
Order of pole = 632.2
TOP MAIN SOLVE Loop
x[1] = -0.527
y[1] (analytic) = 10.108683894490165820007833057432
y[1] (numeric) = 10.10868389449016582000783305743
absolute error = 2e-30
relative error = 1.9784969248965426628687406129754e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.141
Order of pole = 631.9
TOP MAIN SOLVE Loop
x[1] = -0.526
y[1] (analytic) = 10.108831782979346332832401901394
y[1] (numeric) = 10.108831782979346332832401901393
absolute error = 1e-30
relative error = 9.8923399010728511096666953971949e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.137
Order of pole = 631.7
TOP MAIN SOLVE Loop
x[1] = -0.525
y[1] (analytic) = 10.108979772572893611019327839631
y[1] (numeric) = 10.108979772572893611019327839629
absolute error = 2e-30
relative error = 1.9784390165922437981512009680825e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.132
Order of pole = 631.4
TOP MAIN SOLVE Loop
x[1] = -0.524
y[1] (analytic) = 10.109127863272331582182134408767
y[1] (numeric) = 10.109127863272331582182134408765
absolute error = 2e-30
relative error = 1.9784100340309659871226951414307e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.128
Order of pole = 631.2
TOP MAIN SOLVE Loop
x[1] = -0.523
y[1] (analytic) = 10.109276055079185276437799146363
y[1] (numeric) = 10.109276055079185276437799146361
absolute error = 2e-30
relative error = 1.9783810325321402404852662784430e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.123
Order of pole = 631
TOP MAIN SOLVE Loop
x[1] = -0.522
y[1] (analytic) = 10.109424347994980826552265296009
y[1] (numeric) = 10.109424347994980826552265296008
absolute error = 1e-30
relative error = 9.8917600604858543286313490131436e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.119
Order of pole = 630.7
TOP MAIN SOLVE Loop
x[1] = -0.521
y[1] (analytic) = 10.109572742021245468086070336239
y[1] (numeric) = 10.109572742021245468086070336238
absolute error = 1e-30
relative error = 9.8916148636373151299785063103056e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.115
Order of pole = 630.5
TOP MAIN SOLVE Loop
memory used=99.1MB, alloc=4.4MB, time=4.17
x[1] = -0.52
y[1] (analytic) = 10.109721237159507539540091372941
y[1] (numeric) = 10.10972123715950753954009137294
absolute error = 1e-30
relative error = 9.8914695721221136995941010094033e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.11
Order of pole = 630.2
TOP MAIN SOLVE Loop
x[1] = -0.519
y[1] (analytic) = 10.109869833411296482501407435011
y[1] (numeric) = 10.10986983341129648250140743501
absolute error = 1e-30
relative error = 9.8913241859472844070433428494362e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.106
Order of pole = 630
TOP MAIN SOLVE Loop
x[1] = -0.518
y[1] (analytic) = 10.110018530778142841789278713003
y[1] (numeric) = 10.110018530778142841789278713002
absolute error = 1e-30
relative error = 9.8911787051198658973924184792374e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.101
Order of pole = 629.8
TOP MAIN SOLVE Loop
x[1] = -0.517
y[1] (analytic) = 10.110167329261578265601242780579
y[1] (numeric) = 10.110167329261578265601242780578
absolute error = 1e-30
relative error = 9.8910331296469010902700294257922e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.097
Order of pole = 629.5
TOP MAIN SOLVE Loop
x[1] = -0.516
y[1] (analytic) = 10.110316228863135505659327838606
y[1] (numeric) = 10.110316228863135505659327838605
absolute error = 1e-30
relative error = 9.8908874595354371789284033376309e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.093
Order of pole = 629.3
TOP MAIN SOLVE Loop
x[1] = -0.515
y[1] (analytic) = 10.110465229584348417356383021761
y[1] (numeric) = 10.11046522958434841735638302176
absolute error = 1e-30
relative error = 9.8907416947925256293037787067035e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.088
Order of pole = 629.1
TOP MAIN SOLVE Loop
x[1] = -0.514
y[1] (analytic) = 10.110614331426751959902525807573
y[1] (numeric) = 10.110614331426751959902525807572
absolute error = 1e-30
relative error = 9.8905958354252221790763632722056e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.084
Order of pole = 628.9
TOP MAIN SOLVE Loop
x[1] = -0.513
y[1] (analytic) = 10.110763534391882196471706567833
y[1] (numeric) = 10.110763534391882196471706567832
absolute error = 1e-30
relative error = 9.8904498814405868367297663099511e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.08
Order of pole = 628.6
TOP MAIN SOLVE Loop
x[1] = -0.512
y[1] (analytic) = 10.110912838481276294348390302369
y[1] (numeric) = 10.110912838481276294348390302368
absolute error = 1e-30
relative error = 9.8903038328456838806099050109523e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.076
Order of pole = 628.4
TOP MAIN SOLVE Loop
x[1] = -0.511
y[1] (analytic) = 10.111062243696472525074355595205
y[1] (numeric) = 10.111062243696472525074355595204
absolute error = 1e-30
relative error = 9.8901576896475818579833851529719e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.072
Order of pole = 628.2
TOP MAIN SOLVE Loop
x[1] = -0.51
y[1] (analytic) = 10.111211750039010264595610833159
y[1] (numeric) = 10.111211750039010264595610833158
absolute error = 1e-30
relative error = 9.8900114518533535840953562689070e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.067
Order of pole = 628
TOP MAIN SOLVE Loop
memory used=103.0MB, alloc=4.4MB, time=4.34
x[1] = -0.509
y[1] (analytic) = 10.111361357510429993409427726976
y[1] (numeric) = 10.111361357510429993409427726975
absolute error = 1e-30
relative error = 9.8898651194700761412268415159520e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.063
Order of pole = 627.7
TOP MAIN SOLVE Loop
x[1] = -0.508
y[1] (analytic) = 10.111511066112273296711492175133
y[1] (numeric) = 10.111511066112273296711492175131
absolute error = 2e-30
relative error = 1.9779437385009661755503084899150e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.059
Order of pole = 627.5
TOP MAIN SOLVE Loop
x[1] = -0.507
y[1] (analytic) = 10.111660875846082864543172510472
y[1] (numeric) = 10.11166087584608286454317251047
absolute error = 2e-30
relative error = 1.9779144341929406814384237812907e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.055
Order of pole = 627.3
TOP MAIN SOLVE Loop
x[1] = -0.506
y[1] (analytic) = 10.111810786713402491938905169887
y[1] (numeric) = 10.111810786713402491938905169885
absolute error = 2e-30
relative error = 1.9778851109713567214551888401139e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.051
Order of pole = 627.1
TOP MAIN SOLVE Loop
x[1] = -0.505
y[1] (analytic) = 10.111960798715777079073697827279
y[1] (numeric) = 10.111960798715777079073697827277
absolute error = 2e-30
relative error = 1.9778557688376331237980671673624e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.047
Order of pole = 626.9
TOP MAIN SOLVE Loop
x[1] = -0.504
y[1] (analytic) = 10.112110911854752631410750030085
y[1] (numeric) = 10.112110911854752631410750030083
absolute error = 2e-30
relative error = 1.9778264077931895691274523892930e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.043
Order of pole = 626.7
TOP MAIN SOLVE Loop
x[1] = -0.503
y[1] (analytic) = 10.112261126131876259849191379678
y[1] (numeric) = 10.112261126131876259849191379676
absolute error = 2e-30
relative error = 1.9777970278394465903775047298197e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.038
Order of pole = 626.5
TOP MAIN SOLVE Loop
x[1] = -0.502
y[1] (analytic) = 10.112411441548696180871937295998
y[1] (numeric) = 10.112411441548696180871937295996
absolute error = 2e-30
relative error = 1.9777676289778255725668827090896e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.034
Order of pole = 626.2
TOP MAIN SOLVE Loop
x[1] = -0.501
y[1] (analytic) = 10.112561858106761716693662406804
y[1] (numeric) = 10.112561858106761716693662406801
absolute error = 3e-30
relative error = 2.9666073168146231289140551637889e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.03
Order of pole = 626
TOP MAIN SOLVE Loop
x[1] = -0.5
y[1] (analytic) = 10.112712375807623295408891601963
y[1] (numeric) = 10.112712375807623295408891601961
absolute error = 2e-30
relative error = 1.9777087745366392191243982479614e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.026
Order of pole = 625.8
TOP MAIN SOLVE Loop
x[1] = -0.499
y[1] (analytic) = 10.112862994652832451140208793263
y[1] (numeric) = 10.112862994652832451140208793261
absolute error = 2e-30
relative error = 1.9776793189599209122474636018310e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.022
Order of pole = 625.6
TOP MAIN SOLVE Loop
memory used=106.8MB, alloc=4.4MB, time=4.50
x[1] = -0.498
y[1] (analytic) = 10.113013714643941824186583420214
y[1] (numeric) = 10.113013714643941824186583420212
absolute error = 2e-30
relative error = 1.9776498444810186234404408187550e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.018
Order of pole = 625.4
TOP MAIN SOLVE Loop
x[1] = -0.497
y[1] (analytic) = 10.113164535782505161171814742408
y[1] (numeric) = 10.113164535782505161171814742406
absolute error = 2e-30
relative error = 1.9776203511013579953017911621827e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.014
Order of pole = 625.2
TOP MAIN SOLVE Loop
x[1] = -0.496
y[1] (analytic) = 10.113315458070077315193093958994
y[1] (numeric) = 10.113315458070077315193093958992
absolute error = 2e-30
relative error = 1.9775908388223655213766664271272e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.01
Order of pole = 625
TOP MAIN SOLVE Loop
x[1] = -0.495
y[1] (analytic) = 10.11346648150821424596968419588
y[1] (numeric) = 10.113466481508214245969684195877
absolute error = 3e-30
relative error = 2.9663419614682028189503625540566e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.007
Order of pole = 624.8
TOP MAIN SOLVE Loop
x[1] = -0.494
y[1] (analytic) = 10.113617606098473019991718401311
y[1] (numeric) = 10.113617606098473019991718401308
absolute error = 3e-30
relative error = 2.9662976363581428959114155333099e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 9.003
Order of pole = 624.6
TOP MAIN SOLVE Loop
x[1] = -0.493
y[1] (analytic) = 10.113768831842411810669115190516
y[1] (numeric) = 10.113768831842411810669115190513
absolute error = 3e-30
relative error = 2.9662532829055120808153619126865e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.999
Order of pole = 624.4
TOP MAIN SOLVE Loop
x[1] = -0.492
y[1] (analytic) = 10.113920158741589898480612680132
y[1] (numeric) = 10.11392015874158989848061268013
absolute error = 2e-30
relative error = 1.9774726007416368112056650888874e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.995
Order of pole = 624.2
TOP MAIN SOLVE Loop
x[1] = -0.491
y[1] (analytic) = 10.114071586797567671122920353176
y[1] (numeric) = 10.114071586797567671122920353174
absolute error = 2e-30
relative error = 1.9774429939874122813537227214399e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.991
Order of pole = 624
TOP MAIN SOLVE Loop
x[1] = -0.49
y[1] (analytic) = 10.114223116011906623659988995351
y[1] (numeric) = 10.114223116011906623659988995349
absolute error = 2e-30
relative error = 1.9774133683424327262193763391229e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.987
Order of pole = 623.8
TOP MAIN SOLVE Loop
x[1] = -0.489
y[1] (analytic) = 10.114374746386169358672398743529
y[1] (numeric) = 10.114374746386169358672398743527
absolute error = 2e-30
relative error = 1.9773837238081305906487493876832e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.983
Order of pole = 623.6
TOP MAIN SOLVE Loop
x[1] = -0.488
y[1] (analytic) = 10.114526477921919586406865287274
y[1] (numeric) = 10.114526477921919586406865287272
absolute error = 2e-30
relative error = 1.9773540603859391689117290975830e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.979
Order of pole = 623.4
TOP MAIN SOLVE Loop
memory used=110.6MB, alloc=4.4MB, time=4.67
x[1] = -0.487
y[1] (analytic) = 10.114678310620722124925864264319
y[1] (numeric) = 10.114678310620722124925864264317
absolute error = 2e-30
relative error = 1.9773243780772926045111314981336e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.976
Order of pole = 623.2
TOP MAIN SOLVE Loop
x[1] = -0.486
y[1] (analytic) = 10.114830244484142900257373890932
y[1] (numeric) = 10.11483024448414290025737389093
absolute error = 2e-30
relative error = 1.9772946768836258899917623149974e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.972
Order of pole = 623
TOP MAIN SOLVE Loop
x[1] = -0.485
y[1] (analytic) = 10.114982279513748946544735868167
y[1] (numeric) = 10.114982279513748946544735868165
absolute error = 2e-30
relative error = 1.9772649568063748667493737922825e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.968
Order of pole = 622.8
TOP MAIN SOLVE Loop
x[1] = -0.484
y[1] (analytic) = 10.115134415711108406196634605003
y[1] (numeric) = 10.115134415711108406196634605001
absolute error = 2e-30
relative error = 1.9772352178469762248395174804778e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.964
Order of pole = 622.6
TOP MAIN SOLVE Loop
x[1] = -0.483
y[1] (analytic) = 10.115286653077790530037194799442
y[1] (numeric) = 10.11528665307779053003719479944
absolute error = 2e-30
relative error = 1.9772054600068675027862930314900e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.961
Order of pole = 622.4
TOP MAIN SOLVE Loop
x[1] = -0.482
y[1] (analytic) = 10.115438991615365677456197418652
y[1] (numeric) = 10.11543899161536567745619741865
absolute error = 2e-30
relative error = 1.9771756832874870873909930420638e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.957
Order of pole = 622.2
TOP MAIN SOLVE Loop
x[1] = -0.481
y[1] (analytic) = 10.115591431325405316559414119287
y[1] (numeric) = 10.115591431325405316559414119285
absolute error = 2e-30
relative error = 1.9771458876902742135406439868846e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.953
Order of pole = 622
TOP MAIN SOLVE Loop
x[1] = -0.48
y[1] (analytic) = 10.115743972209482024319060149152
y[1] (numeric) = 10.11574397220948202431906014915
absolute error = 2e-30
relative error = 1.9771160732166689640164432826818e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.949
Order of pole = 621.9
TOP MAIN SOLVE Loop
x[1] = -0.479
y[1] (analytic) = 10.115896614269169486724365771423
y[1] (numeric) = 10.115896614269169486724365771421
absolute error = 2e-30
relative error = 1.9770862398681122693020925246646e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.946
Order of pole = 621.7
TOP MAIN SOLVE Loop
x[1] = -0.478
y[1] (analytic) = 10.11604935750604249893226625266
y[1] (numeric) = 10.116049357506042498932266252658
absolute error = 2e-30
relative error = 1.9770563876460459073920269366468e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.942
Order of pole = 621.5
TOP MAIN SOLVE Loop
x[1] = -0.477
y[1] (analytic) = 10.116202201921676965418210455895
y[1] (numeric) = 10.116202201921676965418210455893
absolute error = 2e-30
relative error = 1.9770265165519125035995410762285e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.938
Order of pole = 621.3
TOP MAIN SOLVE Loop
memory used=114.4MB, alloc=4.4MB, time=4.83
x[1] = -0.476
y[1] (analytic) = 10.116355147517649900127088080114
y[1] (numeric) = 10.116355147517649900127088080112
absolute error = 2e-30
relative error = 1.9769966265871555303648108364258e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.935
Order of pole = 621.1
TOP MAIN SOLVE Loop
x[1] = -0.475
y[1] (analytic) = 10.116508194295539426624275587489
y[1] (numeric) = 10.116508194295539426624275587487
absolute error = 2e-30
relative error = 1.9769667177532193070628117851517e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.931
Order of pole = 620.9
TOP MAIN SOLVE Loop
x[1] = -0.474
y[1] (analytic) = 10.11666134225692477824680085975
y[1] (numeric) = 10.116661342256924778246800859748
absolute error = 2e-30
relative error = 1.9769367900515489998111338839765e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.928
Order of pole = 620.8
TOP MAIN SOLVE Loop
x[1] = -0.473
y[1] (analytic) = 10.116814591403386298254626625131
y[1] (numeric) = 10.116814591403386298254626625129
absolute error = 2e-30
relative error = 1.9769068434835906212776926276063e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.924
Order of pole = 620.6
TOP MAIN SOLVE Loop
x[1] = -0.472
y[1] (analytic) = 10.116967941736505439982052697355
y[1] (numeric) = 10.116967941736505439982052697353
absolute error = 2e-30
relative error = 1.9768768780507910304883366455421e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.92
Order of pole = 620.4
TOP MAIN SOLVE Loop
x[1] = -0.471
y[1] (analytic) = 10.117121393257864766989237068162
y[1] (numeric) = 10.11712139325786476698923706816
absolute error = 2e-30
relative error = 1.9768468937545979326343518073960e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.917
Order of pole = 620.2
TOP MAIN SOLVE Loop
x[1] = -0.47
y[1] (analytic) = 10.117274945969047953213835894931
y[1] (numeric) = 10.117274945969047953213835894929
absolute error = 2e-30
relative error = 1.9768168905964598788798618733603e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.913
Order of pole = 620
TOP MAIN SOLVE Loop
x[1] = -0.469
y[1] (analytic) = 10.117428599871639783122762424964
y[1] (numeric) = 10.117428599871639783122762424962
absolute error = 2e-30
relative error = 1.9767868685778262661691257313435e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.91
Order of pole = 619.9
TOP MAIN SOLVE Loop
x[1] = -0.468
y[1] (analytic) = 10.117582354967226151864064898064
y[1] (numeric) = 10.117582354967226151864064898062
absolute error = 2e-30
relative error = 1.9767568277001473370337312623019e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.906
Order of pole = 619.7
TOP MAIN SOLVE Loop
x[1] = -0.467
y[1] (analytic) = 10.11773621125739406541892346905
y[1] (numeric) = 10.117736211257394065418923469048
absolute error = 2e-30
relative error = 1.9767267679648741793996858753201e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.903
Order of pole = 619.5
TOP MAIN SOLVE Loop
x[1] = -0.466
y[1] (analytic) = 10.117890168743731640753766191911
y[1] (numeric) = 10.117890168743731640753766191908
absolute error = 3e-30
relative error = 2.9650450340601880895916056310023e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.899
Order of pole = 619.3
TOP MAIN SOLVE Loop
x[1] = -0.465
y[1] (analytic) = 10.118044227427828105972504107326
y[1] (numeric) = 10.118044227427828105972504107323
absolute error = 3e-30
relative error = 2.9649998878910306342303847836368e-29 %
Correct digits = 30
h = 0.001
memory used=118.2MB, alloc=4.4MB, time=4.99
Real estimate of pole used for equation 1
Radius of convergence = 8.896
Order of pole = 619.2
TOP MAIN SOLVE Loop
x[1] = -0.464
y[1] (analytic) = 10.118198387311273800468885475323
y[1] (numeric) = 10.11819838731127380046888547532
absolute error = 3e-30
relative error = 2.9649547134420193374420310583932e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.892
Order of pole = 619
TOP MAIN SOLVE Loop
x[1] = -0.463
y[1] (analytic) = 10.118352648395660175078969194877
y[1] (numeric) = 10.118352648395660175078969194874
absolute error = 3e-30
relative error = 2.9649095107153359005853330390315e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.889
Order of pole = 618.8
TOP MAIN SOLVE Loop
x[1] = -0.462
y[1] (analytic) = 10.118507010682579792233717452298
y[1] (numeric) = 10.118507010682579792233717452295
absolute error = 3e-30
relative error = 2.9648642797131632916615648670536e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.885
Order of pole = 618.7
TOP MAIN SOLVE Loop
x[1] = -0.461
y[1] (analytic) = 10.118661474173626326111707640283
y[1] (numeric) = 10.118661474173626326111707640281
absolute error = 2e-30
relative error = 1.9765460136251238300161289215402e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.882
Order of pole = 618.5
TOP MAIN SOLVE Loop
x[1] = -0.46
y[1] (analytic) = 10.118816038870394562791963589565
y[1] (numeric) = 10.118816038870394562791963589563
absolute error = 2e-30
relative error = 1.9765158219273925073922871368205e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.879
Order of pole = 618.3
TOP MAIN SOLVE Loop
x[1] = -0.459
y[1] (analytic) = 10.118970704774480400406906155099
y[1] (numeric) = 10.118970704774480400406906155096
absolute error = 3e-30
relative error = 2.9647284170755591060406323232127e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.875
Order of pole = 618.2
TOP MAIN SOLVE Loop
x[1] = -0.458
y[1] (analytic) = 10.119125471887480849295423198794
y[1] (numeric) = 10.119125471887480849295423198792
absolute error = 2e-30
relative error = 1.9764553819955232076983604958217e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.872
Order of pole = 618
TOP MAIN SOLVE Loop
x[1] = -0.457
y[1] (analytic) = 10.119280340210994032156059010826
y[1] (numeric) = 10.119280340210994032156059010824
absolute error = 2e-30
relative error = 1.9764251337643034496435831845075e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.869
Order of pole = 617.8
TOP MAIN SOLVE Loop
x[1] = -0.456
y[1] (analytic) = 10.119435309746619184200323211585
y[1] (numeric) = 10.119435309746619184200323211583
absolute error = 2e-30
relative error = 1.9763948666915071710325096727369e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.865
Order of pole = 617.7
TOP MAIN SOLVE Loop
x[1] = -0.455
y[1] (analytic) = 10.119590380495956653306119176387
y[1] (numeric) = 10.119590380495956653306119176385
absolute error = 2e-30
relative error = 1.9763645807785955894396880222056e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.862
Order of pole = 617.5
TOP MAIN SOLVE Loop
x[1] = -0.454
y[1] (analytic) = 10.119745552460607900171292025084
y[1] (numeric) = 10.119745552460607900171292025082
absolute error = 2e-30
relative error = 1.9763342760270307653168786625208e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.859
Order of pole = 617.3
memory used=122.0MB, alloc=4.4MB, time=5.16
TOP MAIN SOLVE Loop
x[1] = -0.453
y[1] (analytic) = 10.119900825642175498467296218765
y[1] (numeric) = 10.119900825642175498467296218763
absolute error = 2e-30
relative error = 1.9763039524382756017987026752358e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.855
Order of pole = 617.2
TOP MAIN SOLVE Loop
x[1] = -0.452
y[1] (analytic) = 10.120056200042263134992982805764
y[1] (numeric) = 10.120056200042263134992982805762
absolute error = 2e-30
relative error = 1.9762736100137938445081873729785e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.852
Order of pole = 617
TOP MAIN SOLVE Loop
x[1] = -0.451
y[1] (analytic) = 10.120211675662475609828506359238
y[1] (numeric) = 10.120211675662475609828506359236
absolute error = 2e-30
relative error = 1.9762432487550500813622092155033e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.849
Order of pole = 616.9
TOP MAIN SOLVE Loop
x[1] = -0.45
y[1] (analytic) = 10.120367252504418836489351648623
y[1] (numeric) = 10.120367252504418836489351648621
absolute error = 2e-30
relative error = 1.9762128686635097423768341045145e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.845
Order of pole = 616.7
TOP MAIN SOLVE Loop
x[1] = -0.449
y[1] (analytic) = 10.120522930569699842080480087287
y[1] (numeric) = 10.120522930569699842080480087285
absolute error = 2e-30
relative error = 1.9761824697406390994725550991259e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.842
Order of pole = 616.5
TOP MAIN SOLVE Loop
x[1] = -0.448
y[1] (analytic) = 10.120678709859926767450595998772
y[1] (numeric) = 10.120678709859926767450595998771
absolute error = 1e-30
relative error = 9.8807602599395263313971379691959e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.839
Order of pole = 616.4
TOP MAIN SOLVE Loop
x[1] = -0.447
y[1] (analytic) = 10.120834590376708867346532744034
y[1] (numeric) = 10.120834590376708867346532744032
absolute error = 2e-30
relative error = 1.9761216154067761979421020009397e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.836
Order of pole = 616.2
TOP MAIN SOLVE Loop
x[1] = -0.446
y[1] (analytic) = 10.120990572121656510567758752118
y[1] (numeric) = 10.120990572121656510567758752117
absolute error = 1e-30
relative error = 9.8804557999936034546237698961494e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.832
Order of pole = 616.1
TOP MAIN SOLVE Loop
x[1] = -0.445
y[1] (analytic) = 10.121146655096381180121003496786
y[1] (numeric) = 10.121146655096381180121003496785
absolute error = 1e-30
relative error = 9.8803034288260419140795612551468e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.829
Order of pole = 615.9
TOP MAIN SOLVE Loop
x[1] = -0.444
y[1] (analytic) = 10.121302839302495473375003461595
y[1] (numeric) = 10.121302839302495473375003461593
absolute error = 2e-30
relative error = 1.9760301927077097521331840493998e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.826
Order of pole = 615.8
TOP MAIN SOLVE Loop
x[1] = -0.443
y[1] (analytic) = 10.121459124741613102215368136009
y[1] (numeric) = 10.121459124741613102215368136008
absolute error = 1e-30
relative error = 9.8799984041384805906393911877975e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.823
Order of pole = 615.6
TOP MAIN SOLVE Loop
memory used=125.8MB, alloc=4.4MB, time=5.32
x[1] = -0.442
y[1] (analytic) = 10.121615511415348893199566085152
y[1] (numeric) = 10.12161551141534889319956608515
absolute error = 2e-30
relative error = 1.9759691501266396405895261424735e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.82
Order of pole = 615.5
TOP MAIN SOLVE Loop
x[1] = -0.441
y[1] (analytic) = 10.121771999325318787712031135822
y[1] (numeric) = 10.12177199932531878771203113582
absolute error = 2e-30
relative error = 1.9759386006060133196503001446280e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.816
Order of pole = 615.3
TOP MAIN SOLVE Loop
x[1] = -0.44
y[1] (analytic) = 10.121928588473139842119388721477
y[1] (numeric) = 10.121928588473139842119388721475
absolute error = 2e-30
relative error = 1.9759080322672909955893300660037e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.813
Order of pole = 615.1
TOP MAIN SOLVE Loop
x[1] = -0.439
y[1] (analytic) = 10.122085278860430227925802428887
y[1] (numeric) = 10.122085278860430227925802428885
absolute error = 2e-30
relative error = 1.9758774451119473486369173982899e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.81
Order of pole = 615
TOP MAIN SOLVE Loop
x[1] = -0.438
y[1] (analytic) = 10.12224207048880923192844078922
y[1] (numeric) = 10.122242070488809231928440789218
absolute error = 2e-30
relative error = 1.9758468391414578987786474133955e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.807
Order of pole = 614.9
TOP MAIN SOLVE Loop
x[1] = -0.437
y[1] (analytic) = 10.122398963359897256373064356356
y[1] (numeric) = 10.122398963359897256373064356354
absolute error = 2e-30
relative error = 1.9758162143572990055593991983263e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.804
Order of pole = 614.7
TOP MAIN SOLVE Loop
x[1] = -0.436
y[1] (analytic) = 10.122555957475315819109733115263
y[1] (numeric) = 10.122555957475315819109733115261
absolute error = 2e-30
relative error = 1.9757855707609478678872536565211e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.801
Order of pole = 614.6
TOP MAIN SOLVE Loop
x[1] = -0.435
y[1] (analytic) = 10.122713052836687553748634263308
y[1] (numeric) = 10.122713052836687553748634263306
absolute error = 2e-30
relative error = 1.9757549083538825238372995177527e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.798
Order of pole = 614.4
TOP MAIN SOLVE Loop
x[1] = -0.434
y[1] (analytic) = 10.122870249445636209816030407408
y[1] (numeric) = 10.122870249445636209816030407406
absolute error = 2e-30
relative error = 1.9757242271375818504553373987179e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.795
Order of pole = 614.3
TOP MAIN SOLVE Loop
x[1] = -0.433
y[1] (analytic) = 10.123027547303786652910328219976
y[1] (numeric) = 10.123027547303786652910328219974
absolute error = 2e-30
relative error = 1.9756935271135255635614819564586e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.792
Order of pole = 614.1
TOP MAIN SOLVE Loop
x[1] = -0.432
y[1] (analytic) = 10.12318494641276486485826759665
y[1] (numeric) = 10.123184946412764864858267596648
absolute error = 2e-30
relative error = 1.9756628082831942175536621767702e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.788
Order of pole = 614
TOP MAIN SOLVE Loop
memory used=129.7MB, alloc=4.4MB, time=5.48
x[1] = -0.431
y[1] (analytic) = 10.123342446774197943871231358825
y[1] (numeric) = 10.123342446774197943871231358823
absolute error = 2e-30
relative error = 1.9756320706480692052110198397762e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.785
Order of pole = 613.8
TOP MAIN SOLVE Loop
x[1] = -0.43
y[1] (analytic) = 10.123500048389714104701675544057
y[1] (numeric) = 10.123500048389714104701675544055
absolute error = 2e-30
relative error = 1.9756013142096327574972062048589e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.782
Order of pole = 613.7
TOP MAIN SOLVE Loop
x[1] = -0.429
y[1] (analytic) = 10.123657751260942678799680327439
y[1] (numeric) = 10.123657751260942678799680327438
absolute error = 1e-30
relative error = 9.8778526948468397168178847857860e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.779
Order of pole = 613.5
TOP MAIN SOLVE Loop
x[1] = -0.428
y[1] (analytic) = 10.123815555389514114469621617097
y[1] (numeric) = 10.123815555389514114469621617096
absolute error = 1e-30
relative error = 9.8776987246437933477614272892868e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.776
Order of pole = 613.4
TOP MAIN SOLVE Loop
x[1] = -0.427
y[1] (analytic) = 10.123973460777059977026963366972
y[1] (numeric) = 10.123973460777059977026963366971
absolute error = 1e-30
relative error = 9.8775446604464484019963717026132e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.773
Order of pole = 613.3
TOP MAIN SOLVE Loop
x[1] = -0.426
y[1] (analytic) = 10.124131467425212948955170650127
y[1] (numeric) = 10.124131467425212948955170650125
absolute error = 2e-30
relative error = 1.9754781004524465576371654957188e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.77
Order of pole = 613.1
TOP MAIN SOLVE Loop
x[1] = -0.425
y[1] (analytic) = 10.124289575335606830062743535812
y[1] (numeric) = 10.124289575335606830062743535811
absolute error = 1e-30
relative error = 9.8772362500985786009902424310927e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.767
Order of pole = 613
TOP MAIN SOLVE Loop
x[1] = -0.424
y[1] (analytic) = 10.12444778450987653764037181361
y[1] (numeric) = 10.124447784509876537640371813609
absolute error = 1e-30
relative error = 9.8770819039629221200808371753658e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.764
Order of pole = 612.8
TOP MAIN SOLVE Loop
x[1] = -0.423
y[1] (analytic) = 10.12460609494965810661821060797
y[1] (numeric) = 10.124606094949658106618210607969
absolute error = 1e-30
relative error = 9.8769274638627038091525321443534e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.761
Order of pole = 612.7
TOP MAIN SOLVE Loop
x[1] = -0.422
y[1] (analytic) = 10.124764506656588689723276926524
y[1] (numeric) = 10.124764506656588689723276926523
absolute error = 1e-30
relative error = 9.8767729298053683149363673925127e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.759
Order of pole = 612.6
TOP MAIN SOLVE Loop
x[1] = -0.421
y[1] (analytic) = 10.124923019632306557636967185587
y[1] (numeric) = 10.124923019632306557636967185586
absolute error = 1e-30
relative error = 9.8766183017983644662114153989426e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.756
Order of pole = 612.4
TOP MAIN SOLVE Loop
memory used=133.5MB, alloc=4.5MB, time=5.64
x[1] = -0.42
y[1] (analytic) = 10.125081633878451099152695756293
y[1] (numeric) = 10.125081633878451099152695756292
absolute error = 1e-30
relative error = 9.8764635798491452728161870816058e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.753
Order of pole = 612.3
TOP MAIN SOLVE Loop
x[1] = -0.419
y[1] (analytic) = 10.125240349396662821333654574858
y[1] (numeric) = 10.125240349396662821333654574857
absolute error = 1e-30
relative error = 9.8763087639651679246595312345468e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.75
Order of pole = 612.2
TOP MAIN SOLVE Loop
x[1] = -0.418
y[1] (analytic) = 10.125399166188583349670693860498
y[1] (numeric) = 10.125399166188583349670693860498
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.747
Order of pole = 612
TOP MAIN SOLVE Loop
x[1] = -0.417
y[1] (analytic) = 10.125558084255855428240323984571
y[1] (numeric) = 10.125558084255855428240323984571
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.744
Order of pole = 611.9
TOP MAIN SOLVE Loop
x[1] = -0.416
y[1] (analytic) = 10.125717103600122919862838534538
y[1] (numeric) = 10.125717103600122919862838534538
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.741
Order of pole = 611.8
TOP MAIN SOLVE Loop
x[1] = -0.415
y[1] (analytic) = 10.125876224223030806260558616405
y[1] (numeric) = 10.125876224223030806260558616405
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.738
Order of pole = 611.6
TOP MAIN SOLVE Loop
x[1] = -0.414
y[1] (analytic) = 10.126035446126225188216198439316
y[1] (numeric) = 10.126035446126225188216198439316
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.735
Order of pole = 611.5
TOP MAIN SOLVE Loop
x[1] = -0.413
y[1] (analytic) = 10.126194769311353285731352226024
y[1] (numeric) = 10.126194769311353285731352226024
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.732
Order of pole = 611.4
TOP MAIN SOLVE Loop
x[1] = -0.412
y[1] (analytic) = 10.126354193780063438185102493003
y[1] (numeric) = 10.126354193780063438185102493003
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.73
Order of pole = 611.3
TOP MAIN SOLVE Loop
x[1] = -0.411
y[1] (analytic) = 10.126513719534005104492749743999
y[1] (numeric) = 10.126513719534005104492749743999
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.727
Order of pole = 611.1
TOP MAIN SOLVE Loop
x[1] = -0.41
y[1] (analytic) = 10.12667334657482886326466362086
y[1] (numeric) = 10.12667334657482886326466362086
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.724
Order of pole = 611
TOP MAIN SOLVE Loop
memory used=137.3MB, alloc=4.5MB, time=5.80
x[1] = -0.409
y[1] (analytic) = 10.126833074904186412965255555522
y[1] (numeric) = 10.126833074904186412965255555523
absolute error = 1e-30
relative error = 9.8747554403572644787404562766872e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.721
Order of pole = 610.9
TOP MAIN SOLVE Loop
x[1] = -0.408
y[1] (analytic) = 10.126992904523730572072072967075
y[1] (numeric) = 10.126992904523730572072072967075
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.718
Order of pole = 610.7
TOP MAIN SOLVE Loop
x[1] = -0.407
y[1] (analytic) = 10.127152835435115279235015047848
y[1] (numeric) = 10.127152835435115279235015047849
absolute error = 1e-30
relative error = 9.8744436491664222715665701918079e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.716
Order of pole = 610.6
TOP MAIN SOLVE Loop
x[1] = -0.406
y[1] (analytic) = 10.127312867639995593435670182541
y[1] (numeric) = 10.127312867639995593435670182541
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.713
Order of pole = 610.5
TOP MAIN SOLVE Loop
x[1] = -0.405
y[1] (analytic) = 10.127473001140027694146775044393
y[1] (numeric) = 10.127473001140027694146775044394
absolute error = 1e-30
relative error = 9.8741314826258452285343027340195e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.71
Order of pole = 610.4
TOP MAIN SOLVE Loop
x[1] = -0.404
y[1] (analytic) = 10.127633235936868881491795412511
y[1] (numeric) = 10.127633235936868881491795412511
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.707
Order of pole = 610.2
TOP MAIN SOLVE Loop
x[1] = -0.403
y[1] (analytic) = 10.127793572032177576404628754422
y[1] (numeric) = 10.127793572032177576404628754422
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.704
Order of pole = 610.1
TOP MAIN SOLVE Loop
x[1] = -0.402
y[1] (analytic) = 10.127954009427613320789428618046
y[1] (numeric) = 10.127954009427613320789428618046
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.702
Order of pole = 610
TOP MAIN SOLVE Loop
x[1] = -0.401
y[1] (analytic) = 10.128114548124836777680550877246
y[1] (numeric) = 10.128114548124836777680550877246
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.699
Order of pole = 609.9
TOP MAIN SOLVE Loop
x[1] = -0.4
y[1] (analytic) = 10.128275188125509731402621875207
y[1] (numeric) = 10.128275188125509731402621875207
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.696
Order of pole = 609.8
TOP MAIN SOLVE Loop
x[1] = -0.399
y[1] (analytic) = 10.128435929431295087730728509901
y[1] (numeric) = 10.128435929431295087730728509901
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.694
Order of pole = 609.6
TOP MAIN SOLVE Loop
x[1] = -0.398
y[1] (analytic) = 10.128596772043856874050730305959
y[1] (numeric) = 10.128596772043856874050730305959
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.691
Order of pole = 609.5
memory used=141.1MB, alloc=4.5MB, time=5.97
TOP MAIN SOLVE Loop
x[1] = -0.397
y[1] (analytic) = 10.128757715964860239519693517283
y[1] (numeric) = 10.128757715964860239519693517283
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.688
Order of pole = 609.4
TOP MAIN SOLVE Loop
x[1] = -0.396
y[1] (analytic) = 10.128918761195971455226447304803
y[1] (numeric) = 10.128918761195971455226447304803
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.685
Order of pole = 609.3
TOP MAIN SOLVE Loop
x[1] = -0.395
y[1] (analytic) = 10.129079907738857914352262033791
y[1] (numeric) = 10.129079907738857914352262033791
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.683
Order of pole = 609.2
TOP MAIN SOLVE Loop
x[1] = -0.394
y[1] (analytic) = 10.129241155595188132331649735207
y[1] (numeric) = 10.129241155595188132331649735206
absolute error = 1e-30
relative error = 9.8724078599670835859579149773310e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.68
Order of pole = 609
TOP MAIN SOLVE Loop
x[1] = -0.393
y[1] (analytic) = 10.129402504766631747013286775577
y[1] (numeric) = 10.129402504766631747013286775576
absolute error = 1e-30
relative error = 9.8722506044105382182755221671950e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.677
Order of pole = 608.9
TOP MAIN SOLVE Loop
x[1] = -0.392
y[1] (analytic) = 10.129563955254859518821058779958
y[1] (numeric) = 10.129563955254859518821058779958
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.675
Order of pole = 608.8
TOP MAIN SOLVE Loop
x[1] = -0.391
y[1] (analytic) = 10.129725507061543330915227852563
y[1] (numeric) = 10.129725507061543330915227852563
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.672
Order of pole = 608.7
TOP MAIN SOLVE Loop
x[1] = -0.39
y[1] (analytic) = 10.129887160188356189353722139673
y[1] (numeric) = 10.129887160188356189353722139673
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.67
Order of pole = 608.6
TOP MAIN SOLVE Loop
x[1] = -0.389
y[1] (analytic) = 10.130048914636972223253547779507
y[1] (numeric) = 10.130048914636972223253547779507
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.667
Order of pole = 608.5
TOP MAIN SOLVE Loop
x[1] = -0.388
y[1] (analytic) = 10.130210770409066684952323283744
y[1] (numeric) = 10.130210770409066684952323283744
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.664
Order of pole = 608.3
TOP MAIN SOLVE Loop
x[1] = -0.387
y[1] (analytic) = 10.130372727506315950169936395446
y[1] (numeric) = 10.130372727506315950169936395446
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.662
Order of pole = 608.2
TOP MAIN SOLVE Loop
memory used=144.9MB, alloc=4.5MB, time=6.13
x[1] = -0.386
y[1] (analytic) = 10.130534785930397518170323468157
y[1] (numeric) = 10.130534785930397518170323468157
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.659
Order of pole = 608.1
TOP MAIN SOLVE Loop
x[1] = -0.385
y[1] (analytic) = 10.13069694568299001192337141101
y[1] (numeric) = 10.13069694568299001192337141101
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.657
Order of pole = 608
TOP MAIN SOLVE Loop
x[1] = -0.384
y[1] (analytic) = 10.130859206765773178266942244694
y[1] (numeric) = 10.130859206765773178266942244693
absolute error = 1e-30
relative error = 9.8708310873786693019887082331391e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.654
Order of pole = 607.9
TOP MAIN SOLVE Loop
x[1] = -0.383
y[1] (analytic) = 10.131021569180427888069020313185
y[1] (numeric) = 10.131021569180427888069020313184
absolute error = 1e-30
relative error = 9.8706728948450682481972101419986e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.651
Order of pole = 607.8
TOP MAIN SOLVE Loop
x[1] = -0.382
y[1] (analytic) = 10.131184032928636136389982196187
y[1] (numeric) = 10.131184032928636136389982196186
absolute error = 1e-30
relative error = 9.8705146086555545701923370889587e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.649
Order of pole = 607.7
TOP MAIN SOLVE Loop
x[1] = -0.381
y[1] (analytic) = 10.131346598012081042644989367256
y[1] (numeric) = 10.131346598012081042644989367255
absolute error = 1e-30
relative error = 9.8703562288177435626488095409109e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.646
Order of pole = 607.6
TOP MAIN SOLVE Loop
x[1] = -0.38
y[1] (analytic) = 10.131509264432446850766503642628
y[1] (numeric) = 10.131509264432446850766503642627
absolute error = 1e-30
relative error = 9.8701977553392546613439020300567e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.644
Order of pole = 607.5
TOP MAIN SOLVE Loop
x[1] = -0.379
y[1] (analytic) = 10.131672032191418929366925465819
y[1] (numeric) = 10.131672032191418929366925465818
absolute error = 1e-30
relative error = 9.8700391882277114421482542261619e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.641
Order of pole = 607.3
TOP MAIN SOLVE Loop
x[1] = -0.378
y[1] (analytic) = 10.131834901290683771901355073084
y[1] (numeric) = 10.131834901290683771901355073083
absolute error = 1e-30
relative error = 9.8698805274907416200161841912864e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.639
Order of pole = 607.2
TOP MAIN SOLVE Loop
x[1] = -0.377
y[1] (analytic) = 10.131997871731928996830476584887
y[1] (numeric) = 10.131997871731928996830476584886
absolute error = 1e-30
relative error = 9.8697217731359770479755040323436e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.636
Order of pole = 607.1
TOP MAIN SOLVE Loop
x[1] = -0.376
y[1] (analytic) = 10.132160943516843347783565068553
y[1] (numeric) = 10.132160943516843347783565068551
absolute error = 2e-30
relative error = 1.9739125850342107432233676333895e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.634
Order of pole = 607
TOP MAIN SOLVE Loop
memory used=148.7MB, alloc=4.5MB, time=6.29
x[1] = -0.375
y[1] (analytic) = 10.132324116647116693721616617322
y[1] (numeric) = 10.13232411664711669372161661732
absolute error = 2e-30
relative error = 1.9738807967207223501164888836147e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.631
Order of pole = 606.9
TOP MAIN SOLVE Loop
x[1] = -0.374
y[1] (analytic) = 10.132487391124440029100601491071
y[1] (numeric) = 10.132487391124440029100601491069
absolute error = 2e-30
relative error = 1.9738489896882590825109076306277e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.629
Order of pole = 606.8
TOP MAIN SOLVE Loop
x[1] = -0.373
y[1] (analytic) = 10.132650766950505474034840363991
y[1] (numeric) = 10.13265076695050547403484036399
absolute error = 1e-30
relative error = 9.8690858196917530972431196831991e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.626
Order of pole = 606.7
TOP MAIN SOLVE Loop
x[1] = -0.372
y[1] (analytic) = 10.132814244127006274460503724573
y[1] (numeric) = 10.132814244127006274460503724572
absolute error = 1e-30
relative error = 9.8689265973626373328733051380228e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.624
Order of pole = 606.6
TOP MAIN SOLVE Loop
x[1] = -0.371
y[1] (analytic) = 10.132977822655636802299234473263
y[1] (numeric) = 10.132977822655636802299234473261
absolute error = 2e-30
relative error = 1.9737534562923209559344322065811e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.621
Order of pole = 606.5
TOP MAIN SOLVE Loop
x[1] = -0.37
y[1] (analytic) = 10.133141502538092555621893763222
y[1] (numeric) = 10.13314150253809255562189376322
absolute error = 2e-30
relative error = 1.9737215743992632457710085486291e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.619
Order of pole = 606.4
TOP MAIN SOLVE Loop
x[1] = -0.369
y[1] (analytic) = 10.133305283776070158812430129646
y[1] (numeric) = 10.133305283776070158812430129644
absolute error = 2e-30
relative error = 1.9736896737948873203222874204374e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.616
Order of pole = 606.3
TOP MAIN SOLVE Loop
x[1] = -0.368
y[1] (analytic) = 10.133469166371267362731871953132
y[1] (numeric) = 10.13346916637126736273187195313
absolute error = 2e-30
relative error = 1.9736577544807269896180618679090e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.614
Order of pole = 606.2
TOP MAIN SOLVE Loop
x[1] = -0.367
y[1] (analytic) = 10.133633150325383044882443302647
y[1] (numeric) = 10.133633150325383044882443302645
absolute error = 2e-30
relative error = 1.9736258164583168892769909149302e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.611
Order of pole = 606.1
TOP MAIN SOLVE Loop
x[1] = -0.366
y[1] (analytic) = 10.133797235640117209571803203668
y[1] (numeric) = 10.133797235640117209571803203666
absolute error = 2e-30
relative error = 1.9735938597291924803034708165790e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.609
Order of pole = 606
TOP MAIN SOLVE Loop
x[1] = -0.365
y[1] (analytic) = 10.133961422317170988077408377115
y[1] (numeric) = 10.133961422317170988077408377112
absolute error = 3e-30
relative error = 2.9603428264423350733266109650547e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.606
Order of pole = 605.9
TOP MAIN SOLVE Loop
memory used=152.5MB, alloc=4.5MB, time=6.45
x[1] = -0.364
y[1] (analytic) = 10.13412571035824663881099949473
y[1] (numeric) = 10.134125710358246638810999494727
absolute error = 3e-30
relative error = 2.9602948352354200592788333597273e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.604
Order of pole = 605.8
TOP MAIN SOLVE Loop
x[1] = -0.363
y[1] (analytic) = 10.134290099765047547483210996622
y[1] (numeric) = 10.134290099765047547483210996619
absolute error = 3e-30
relative error = 2.9602468159753505822246419009294e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.602
Order of pole = 605.7
TOP MAIN SOLVE Loop
x[1] = -0.362
y[1] (analytic) = 10.134454590539278227268304516684
y[1] (numeric) = 10.134454590539278227268304516682
absolute error = 2e-30
relative error = 1.9734658457762898552901027077628e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.599
Order of pole = 605.6
TOP MAIN SOLVE Loop
x[1] = -0.361
y[1] (analytic) = 10.134619182682644318969025961698
y[1] (numeric) = 10.134619182682644318969025961696
absolute error = 2e-30
relative error = 1.9734337955366546924896008718995e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.597
Order of pole = 605.5
TOP MAIN SOLVE Loop
x[1] = -0.36
y[1] (analytic) = 10.134783876196852591181586289914
y[1] (numeric) = 10.134783876196852591181586289913
absolute error = 1e-30
relative error = 9.8670086329976765439791531066214e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.594
Order of pole = 605.4
TOP MAIN SOLVE Loop
x[1] = -0.359
y[1] (analytic) = 10.134948671083610940460766034997
y[1] (numeric) = 10.134948671083610940460766034995
absolute error = 2e-30
relative error = 1.9733696389664729372174331819174e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.592
Order of pole = 605.3
TOP MAIN SOLVE Loop
x[1] = -0.358
y[1] (analytic) = 10.135113567344628391485143621206
y[1] (numeric) = 10.135113567344628391485143621205
absolute error = 1e-30
relative error = 9.8666876631950481726009829571827e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.59
Order of pole = 605.2
TOP MAIN SOLVE Loop
x[1] = -0.357
y[1] (analytic) = 10.135278564981615097222447515785
y[1] (numeric) = 10.135278564981615097222447515784
absolute error = 1e-30
relative error = 9.8665270380934414051151874577134e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.587
Order of pole = 605.1
TOP MAIN SOLVE Loop
x[1] = -0.356
y[1] (analytic) = 10.13544366399628233909503226451
y[1] (numeric) = 10.135443663996282339095032264508
absolute error = 2e-30
relative error = 1.9732732639070525803938843076418e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.585
Order of pole = 605
TOP MAIN SOLVE Loop
x[1] = -0.355
y[1] (analytic) = 10.135608864390342527145478456439
y[1] (numeric) = 10.135608864390342527145478456437
absolute error = 2e-30
relative error = 1.9732411015056470594454618599632e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.583
Order of pole = 604.9
TOP MAIN SOLVE Loop
x[1] = -0.354
y[1] (analytic) = 10.13577416616550920020231666392
y[1] (numeric) = 10.135774166165509200202316663918
absolute error = 2e-30
relative error = 1.9732089204160170679309774493159e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.58
Order of pole = 604.8
TOP MAIN SOLVE Loop
x[1] = -0.353
y[1] (analytic) = 10.135939569323497026045875403953
y[1] (numeric) = 10.135939569323497026045875403951
absolute error = 2e-30
relative error = 1.9731767206397087783397084609800e-29 %
Correct digits = 30
h = 0.001
memory used=156.4MB, alloc=4.5MB, time=6.62
Real estimate of pole used for equation 1
Radius of convergence = 8.578
Order of pole = 604.7
TOP MAIN SOLVE Loop
x[1] = -0.352
y[1] (analytic) = 10.136105073866021801574253167055
y[1] (numeric) = 10.136105073866021801574253167054
absolute error = 1e-30
relative error = 9.8657225108913459284624576510202e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.576
Order of pole = 604.6
TOP MAIN SOLVE Loop
x[1] = -0.351
y[1] (analytic) = 10.136270679794800452969414559814
y[1] (numeric) = 10.136270679794800452969414559812
absolute error = 2e-30
relative error = 1.9731122650332461073371133127956e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.573
Order of pole = 604.5
TOP MAIN SOLVE Loop
x[1] = -0.35
y[1] (analytic) = 10.136436387111551035863410607341
y[1] (numeric) = 10.13643638711155103586341060734
absolute error = 1e-30
relative error = 9.8654000460309409137180145215511e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.571
Order of pole = 604.4
TOP MAIN SOLVE Loop
x[1] = -0.349
y[1] (analytic) = 10.13660219581799273550472326191
y[1] (numeric) = 10.136602195817992735504723261909
absolute error = 1e-30
relative error = 9.8652386734932243664971297567700e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.569
Order of pole = 604.3
TOP MAIN SOLVE Loop
x[1] = -0.348
y[1] (analytic) = 10.136768105915845866924734164061
y[1] (numeric) = 10.13676810591584586692473416406
absolute error = 1e-30
relative error = 9.8650772075608323105229024926932e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.566
Order of pole = 604.3
TOP MAIN SOLVE Loop
x[1] = -0.347
y[1] (analytic) = 10.136934117406831875104317702534
y[1] (numeric) = 10.136934117406831875104317702533
absolute error = 1e-30
relative error = 9.8649156482415202688329730731803e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.564
Order of pole = 604.2
TOP MAIN SOLVE Loop
x[1] = -0.346
y[1] (analytic) = 10.137100230292673335140558419409
y[1] (numeric) = 10.137100230292673335140558419408
absolute error = 1e-30
relative error = 9.8647539955430478709771292074977e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.562
Order of pole = 604.1
TOP MAIN SOLVE Loop
x[1] = -0.345
y[1] (analytic) = 10.137266444575093952413592806883
y[1] (numeric) = 10.137266444575093952413592806883
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.56
Order of pole = 604
TOP MAIN SOLVE Loop
x[1] = -0.344
y[1] (analytic) = 10.13743276025581856275357554215
y[1] (numeric) = 10.137432760255818562753575542149
absolute error = 1e-30
relative error = 9.8644304100396810513711348095051e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.557
Order of pole = 603.9
TOP MAIN SOLVE Loop
x[1] = -0.343
y[1] (analytic) = 10.137599177336573132607770206883
y[1] (numeric) = 10.137599177336573132607770206882
absolute error = 1e-30
relative error = 9.8642684772503264120449036765372e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.555
Order of pole = 603.8
TOP MAIN SOLVE Loop
x[1] = -0.342
y[1] (analytic) = 10.13776569581908475920776453789
y[1] (numeric) = 10.13776569581908475920776453789
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.553
Order of pole = 603.7
TOP MAIN SOLVE Loop
memory used=160.2MB, alloc=4.5MB, time=6.78
x[1] = -0.341
y[1] (analytic) = 10.137932315705081670736810255507
y[1] (numeric) = 10.137932315705081670736810255506
absolute error = 1e-30
relative error = 9.8639443316351548999857172363762e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.55
Order of pole = 603.6
TOP MAIN SOLVE Loop
x[1] = -0.34
y[1] (analytic) = 10.138099036996293226497287516367
y[1] (numeric) = 10.138099036996293226497287516366
absolute error = 1e-30
relative error = 9.8637821188249024210232312555965e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.548
Order of pole = 603.5
TOP MAIN SOLVE Loop
x[1] = -0.339
y[1] (analytic) = 10.138265859694449917078294037233
y[1] (numeric) = 10.138265859694449917078294037232
absolute error = 1e-30
relative error = 9.8636198126899218888382541853692e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.546
Order of pole = 603.4
TOP MAIN SOLVE Loop
x[1] = -0.338
y[1] (analytic) = 10.138432783801283364523358936574
y[1] (numeric) = 10.138432783801283364523358936573
absolute error = 1e-30
relative error = 9.8634574132380057481008190690468e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.544
Order of pole = 603.4
TOP MAIN SOLVE Loop
x[1] = -0.337
y[1] (analytic) = 10.138599809318526322498281340666
y[1] (numeric) = 10.138599809318526322498281340665
absolute error = 1e-30
relative error = 9.8632949204769505407415276195682e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.542
Order of pole = 603.3
TOP MAIN SOLVE Loop
x[1] = -0.336
y[1] (analytic) = 10.138766936247912676459093800995
y[1] (numeric) = 10.138766936247912676459093800995
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.539
Order of pole = 603.2
TOP MAIN SOLVE Loop
x[1] = -0.335
y[1] (analytic) = 10.138934164591177443820150569803
y[1] (numeric) = 10.138934164591177443820150569803
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.537
Order of pole = 603.1
TOP MAIN SOLVE Loop
x[1] = -0.334
y[1] (analytic) = 10.139101494350056774122340780647
y[1] (numeric) = 10.139101494350056774122340780646
absolute error = 1e-30
relative error = 9.8628068824169773755052512628230e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.535
Order of pole = 603
TOP MAIN SOLVE Loop
x[1] = -0.333
y[1] (analytic) = 10.139268925526287949201426580888
y[1] (numeric) = 10.139268925526287949201426580888
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.533
Order of pole = 602.9
TOP MAIN SOLVE Loop
x[1] = -0.332
y[1] (analytic) = 10.139436458121609383356506263081
y[1] (numeric) = 10.139436458121609383356506263081
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.531
Order of pole = 602.8
TOP MAIN SOLVE Loop
x[1] = -0.331
y[1] (analytic) = 10.139604092137760623518602442235
y[1] (numeric) = 10.139604092137760623518602442235
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.528
Order of pole = 602.8
TOP MAIN SOLVE Loop
memory used=164.0MB, alloc=4.5MB, time=6.94
x[1] = -0.33
y[1] (analytic) = 10.139771827576482349419375326011
y[1] (numeric) = 10.139771827576482349419375326011
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.526
Order of pole = 602.7
TOP MAIN SOLVE Loop
x[1] = -0.329
y[1] (analytic) = 10.139939664439516373759961124922
y[1] (numeric) = 10.139939664439516373759961124922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.524
Order of pole = 602.6
TOP MAIN SOLVE Loop
x[1] = -0.328
y[1] (analytic) = 10.140107602728605642379935649659
y[1] (numeric) = 10.140107602728605642379935649659
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.522
Order of pole = 602.5
TOP MAIN SOLVE Loop
x[1] = -0.327
y[1] (analytic) = 10.14027564244549423442640314271
y[1] (numeric) = 10.14027564244549423442640314271
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.52
Order of pole = 602.4
TOP MAIN SOLVE Loop
x[1] = -0.326
y[1] (analytic) = 10.140443783591927362523210391467
y[1] (numeric) = 10.140443783591927362523210391467
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.517
Order of pole = 602.4
TOP MAIN SOLVE Loop
x[1] = -0.325
y[1] (analytic) = 10.140612026169651372940286170076
y[1] (numeric) = 10.140612026169651372940286170076
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.515
Order of pole = 602.3
TOP MAIN SOLVE Loop
x[1] = -0.324
y[1] (analytic) = 10.140780370180413745763106057304
y[1] (numeric) = 10.140780370180413745763106057304
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.513
Order of pole = 602.2
TOP MAIN SOLVE Loop
x[1] = -0.323
y[1] (analytic) = 10.14094881562596309506228267776
y[1] (numeric) = 10.14094881562596309506228267776
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.511
Order of pole = 602.1
TOP MAIN SOLVE Loop
x[1] = -0.322
y[1] (analytic) = 10.141117362508049169063281413833
y[1] (numeric) = 10.141117362508049169063281413833
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.509
Order of pole = 602
TOP MAIN SOLVE Loop
x[1] = -0.321
y[1] (analytic) = 10.141286010828422850316261635756
y[1] (numeric) = 10.141286010828422850316261635756
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.507
Order of pole = 601.9
TOP MAIN SOLVE Loop
x[1] = -0.32
y[1] (analytic) = 10.141454760588836155866043497248
y[1] (numeric) = 10.141454760588836155866043497249
absolute error = 1e-30
relative error = 9.8605182748154141866142703617624e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.505
Order of pole = 601.9
TOP MAIN SOLVE Loop
memory used=167.8MB, alloc=4.5MB, time=7.11
x[1] = -0.319
y[1] (analytic) = 10.141623611791042237422200344232
y[1] (numeric) = 10.141623611791042237422200344233
absolute error = 1e-30
relative error = 9.8603541038277291503727191491581e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.503
Order of pole = 601.8
TOP MAIN SOLVE Loop
x[1] = -0.318
y[1] (analytic) = 10.141792564436795381529276784143
y[1] (numeric) = 10.141792564436795381529276784145
absolute error = 2e-30
relative error = 1.9720379679359632900696342044839e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.5
Order of pole = 601.7
TOP MAIN SOLVE Loop
x[1] = -0.317
y[1] (analytic) = 10.141961618527851009737132463431
y[1] (numeric) = 10.141961618527851009737132463432
absolute error = 1e-30
relative error = 9.8600254823795543566503069010681e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.498
Order of pole = 601.6
TOP MAIN SOLVE Loop
x[1] = -0.316
y[1] (analytic) = 10.14213077406596567877141160084
y[1] (numeric) = 10.142130774065965678771411600841
absolute error = 1e-30
relative error = 9.8598610319348252149086939411005e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.496
Order of pole = 601.6
TOP MAIN SOLVE Loop
x[1] = -0.315
y[1] (analytic) = 10.142300031052897080704138324156
y[1] (numeric) = 10.142300031052897080704138324157
absolute error = 1e-30
relative error = 9.8596964883535154452321737733077e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.494
Order of pole = 601.5
TOP MAIN SOLVE Loop
x[1] = -0.314
y[1] (analytic) = 10.142469389490404043124437858092
y[1] (numeric) = 10.142469389490404043124437858092
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.492
Order of pole = 601.4
TOP MAIN SOLVE Loop
x[1] = -0.313
y[1] (analytic) = 10.142638849380246529309383611068
y[1] (numeric) = 10.142638849380246529309383611068
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.49
Order of pole = 601.3
TOP MAIN SOLVE Loop
x[1] = -0.312
y[1] (analytic) = 10.142808410724185638394970208668
y[1] (numeric) = 10.142808410724185638394970208668
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.488
Order of pole = 601.2
TOP MAIN SOLVE Loop
x[1] = -0.311
y[1] (analytic) = 10.142978073523983605547212521588
y[1] (numeric) = 10.142978073523983605547212521588
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.486
Order of pole = 601.2
TOP MAIN SOLVE Loop
x[1] = -0.31
y[1] (analytic) = 10.143147837781403802133370735944
y[1] (numeric) = 10.143147837781403802133370735944
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.484
Order of pole = 601.1
TOP MAIN SOLVE Loop
x[1] = -0.309
y[1] (analytic) = 10.143317703498210735893301513853
y[1] (numeric) = 10.143317703498210735893301513853
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.482
Order of pole = 601
TOP MAIN SOLVE Loop
x[1] = -0.308
y[1] (analytic) = 10.143487670676170051110935292227
y[1] (numeric) = 10.143487670676170051110935292227
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.48
Order of pole = 600.9
memory used=171.6MB, alloc=4.5MB, time=7.27
TOP MAIN SOLVE Loop
x[1] = -0.307
y[1] (analytic) = 10.143657739317048528785879767769
y[1] (numeric) = 10.14365773931704852878587976777
absolute error = 1e-30
relative error = 9.8583767877338488483904588794525e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.478
Order of pole = 600.9
TOP MAIN SOLVE Loop
x[1] = -0.306
y[1] (analytic) = 10.143827909422614086805149616215
y[1] (numeric) = 10.143827909422614086805149616215
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.476
Order of pole = 600.8
TOP MAIN SOLVE Loop
x[1] = -0.305
y[1] (analytic) = 10.143998180994635780115022493873
y[1] (numeric) = 10.143998180994635780115022493873
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.474
Order of pole = 600.7
TOP MAIN SOLVE Loop
x[1] = -0.304
y[1] (analytic) = 10.144168554034883800893021369602
y[1] (numeric) = 10.144168554034883800893021369602
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.472
Order of pole = 600.7
TOP MAIN SOLVE Loop
x[1] = -0.303
y[1] (analytic) = 10.144339028545129478720023235361
y[1] (numeric) = 10.144339028545129478720023235361
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.47
Order of pole = 600.6
TOP MAIN SOLVE Loop
x[1] = -0.302
y[1] (analytic) = 10.144509604527145280752494243542
y[1] (numeric) = 10.144509604527145280752494243542
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.468
Order of pole = 600.5
TOP MAIN SOLVE Loop
x[1] = -0.301
y[1] (analytic) = 10.144680281982704811894851319326
y[1] (numeric) = 10.144680281982704811894851319326
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.466
Order of pole = 600.4
TOP MAIN SOLVE Loop
x[1] = -0.3
y[1] (analytic) = 10.144851060913582814971950296336
y[1] (numeric) = 10.144851060913582814971950296335
absolute error = 1e-30
relative error = 9.8572171636194150095162413618859e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.464
Order of pole = 600.4
TOP MAIN SOLVE Loop
x[1] = -0.299
y[1] (analytic) = 10.145021941321555170901700623917
y[1] (numeric) = 10.145021941321555170901700623917
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.462
Order of pole = 600.3
TOP MAIN SOLVE Loop
x[1] = -0.298
y[1] (analytic) = 10.145192923208398898867806694416
y[1] (numeric) = 10.145192923208398898867806694415
absolute error = 1e-30
relative error = 9.8568850052360740127684023493123e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.46
Order of pole = 600.2
TOP MAIN SOLVE Loop
x[1] = -0.297
y[1] (analytic) = 10.145364006575892156492635838844
y[1] (numeric) = 10.145364006575892156492635838844
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.458
Order of pole = 600.2
TOP MAIN SOLVE Loop
memory used=175.4MB, alloc=4.5MB, time=7.43
x[1] = -0.296
y[1] (analytic) = 10.145535191425814240010213039409
y[1] (numeric) = 10.145535191425814240010213039408
absolute error = 1e-30
relative error = 9.8565524748770189938015915265900e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.456
Order of pole = 600.1
TOP MAIN SOLVE Loop
x[1] = -0.295
y[1] (analytic) = 10.145706477759945584439342407366
y[1] (numeric) = 10.145706477759945584439342407366
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.454
Order of pole = 600
TOP MAIN SOLVE Loop
x[1] = -0.294
y[1] (analytic) = 10.145877865580067763756855474765
y[1] (numeric) = 10.145877865580067763756855474764
absolute error = 1e-30
relative error = 9.8562195726059752596304195809182e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.452
Order of pole = 599.9
TOP MAIN SOLVE Loop
x[1] = -0.293
y[1] (analytic) = 10.146049354887963491070986348625
y[1] (numeric) = 10.146049354887963491070986348625
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.45
Order of pole = 599.9
TOP MAIN SOLVE Loop
x[1] = -0.292
y[1] (analytic) = 10.146220945685416618794873776196
y[1] (numeric) = 10.146220945685416618794873776196
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.448
Order of pole = 599.8
TOP MAIN SOLVE Loop
x[1] = -0.291
y[1] (analytic) = 10.146392637974212138820190169933
y[1] (numeric) = 10.146392637974212138820190169932
absolute error = 1e-30
relative error = 9.8557195220039894859488267888129e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.446
Order of pole = 599.7
TOP MAIN SOLVE Loop
x[1] = -0.29
y[1] (analytic) = 10.146564431756136182690897640903
y[1] (numeric) = 10.146564431756136182690897640903
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.444
Order of pole = 599.7
TOP MAIN SOLVE Loop
x[1] = -0.289
y[1] (analytic) = 10.146736327032976021777131089371
y[1] (numeric) = 10.146736327032976021777131089371
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.442
Order of pole = 599.6
TOP MAIN SOLVE Loop
x[1] = -0.288
y[1] (analytic) = 10.146908323806520067449208401334
y[1] (numeric) = 10.146908323806520067449208401334
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.44
Order of pole = 599.5
TOP MAIN SOLVE Loop
x[1] = -0.287
y[1] (analytic) = 10.147080422078557871251767799846
y[1] (numeric) = 10.147080422078557871251767799846
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.438
Order of pole = 599.5
TOP MAIN SOLVE Loop
x[1] = -0.286
y[1] (analytic) = 10.147252621850880125078032400006
y[1] (numeric) = 10.147252621850880125078032400006
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.436
Order of pole = 599.4
TOP MAIN SOLVE Loop
memory used=179.2MB, alloc=4.5MB, time=7.60
x[1] = -0.285
y[1] (analytic) = 10.147424923125278661344202016504
y[1] (numeric) = 10.147424923125278661344202016504
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.434
Order of pole = 599.3
TOP MAIN SOLVE Loop
x[1] = -0.284
y[1] (analytic) = 10.147597325903546453163972272702
y[1] (numeric) = 10.147597325903546453163972272702
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.432
Order of pole = 599.3
TOP MAIN SOLVE Loop
x[1] = -0.283
y[1] (analytic) = 10.147769830187477614523181060234
y[1] (numeric) = 10.147769830187477614523181060234
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.43
Order of pole = 599.2
TOP MAIN SOLVE Loop
x[1] = -0.282
y[1] (analytic) = 10.147942435978867400454582398165
y[1] (numeric) = 10.147942435978867400454582398165
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.428
Order of pole = 599.1
TOP MAIN SOLVE Loop
x[1] = -0.281
y[1] (analytic) = 10.148115143279512207212747740795
y[1] (numeric) = 10.148115143279512207212747740795
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.426
Order of pole = 599.1
TOP MAIN SOLVE Loop
x[1] = -0.28
y[1] (analytic) = 10.148287952091209572449094783234
y[1] (numeric) = 10.148287952091209572449094783234
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.425
Order of pole = 599
TOP MAIN SOLVE Loop
x[1] = -0.279
y[1] (analytic) = 10.148460862415758175387043813905
y[1] (numeric) = 10.148460862415758175387043813905
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.423
Order of pole = 598.9
TOP MAIN SOLVE Loop
x[1] = -0.278
y[1] (analytic) = 10.148633874254957836997301663199
y[1] (numeric) = 10.148633874254957836997301663199
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.421
Order of pole = 598.9
TOP MAIN SOLVE Loop
x[1] = -0.277
y[1] (analytic) = 10.148806987610609520173273297516
y[1] (numeric) = 10.148806987610609520173273297516
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.419
Order of pole = 598.8
TOP MAIN SOLVE Loop
x[1] = -0.276
y[1] (analytic) = 10.148980202484515329906601108004
y[1] (numeric) = 10.148980202484515329906601108003
absolute error = 1e-30
relative error = 9.8532067266738343660223139659505e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.417
Order of pole = 598.8
TOP MAIN SOLVE Loop
x[1] = -0.275
y[1] (analytic) = 10.149153518878478513462831943315
y[1] (numeric) = 10.149153518878478513462831943315
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.415
Order of pole = 598.7
TOP MAIN SOLVE Loop
x[1] = -0.274
y[1] (analytic) = 10.149326936794303460557211935778
y[1] (numeric) = 10.149326936794303460557211935778
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.413
Order of pole = 598.6
TOP MAIN SOLVE Loop
memory used=183.1MB, alloc=4.5MB, time=7.76
x[1] = -0.273
y[1] (analytic) = 10.149500456233795703530609170386
y[1] (numeric) = 10.149500456233795703530609170386
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.411
Order of pole = 598.6
TOP MAIN SOLVE Loop
x[1] = -0.272
y[1] (analytic) = 10.149674077198761917525564246082
y[1] (numeric) = 10.149674077198761917525564246081
absolute error = 1e-30
relative error = 9.8525331197235144109977340137035e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.409
Order of pole = 598.5
TOP MAIN SOLVE Loop
x[1] = -0.271
y[1] (analytic) = 10.14984779969100992066246877884
y[1] (numeric) = 10.14984779969100992066246877884
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.408
Order of pole = 598.4
TOP MAIN SOLVE Loop
x[1] = -0.27
y[1] (analytic) = 10.1500216237123486742158718961
y[1] (numeric) = 10.1500216237123486742158718961
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.406
Order of pole = 598.4
TOP MAIN SOLVE Loop
x[1] = -0.269
y[1] (analytic) = 10.150195549264588282790914772132
y[1] (numeric) = 10.150195549264588282790914772131
absolute error = 1e-30
relative error = 9.8520269402342003204172556988343e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.404
Order of pole = 598.3
TOP MAIN SOLVE Loop
x[1] = -0.268
y[1] (analytic) = 10.150369576349539994499893253982
y[1] (numeric) = 10.150369576349539994499893253981
absolute error = 1e-30
relative error = 9.8518580282043103411634571762797e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.402
Order of pole = 598.3
TOP MAIN SOLVE Loop
x[1] = -0.267
y[1] (analytic) = 10.150543704969016201138948627674
y[1] (numeric) = 10.150543704969016201138948627673
absolute error = 1e-30
relative error = 9.8516890234211589704340186190855e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.4
Order of pole = 598.2
TOP MAIN SOLVE Loop
x[1] = -0.266
y[1] (analytic) = 10.150717935124830438364886574378
y[1] (numeric) = 10.150717935124830438364886574377
absolute error = 1e-30
relative error = 9.8515199258928309930513681452130e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.398
Order of pole = 598.1
TOP MAIN SOLVE Loop
x[1] = -0.265
y[1] (analytic) = 10.15089226681879738587212436632
y[1] (numeric) = 10.150892266818797385872124366319
absolute error = 1e-30
relative error = 9.8513507356274152156742871168397e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.397
Order of pole = 598.1
TOP MAIN SOLVE Loop
x[1] = -0.264
y[1] (analytic) = 10.151066700052732867569766352231
y[1] (numeric) = 10.15106670005273286756976635223
absolute error = 1e-30
relative error = 9.8511814526330044657329032479183e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.395
Order of pole = 598
TOP MAIN SOLVE Loop
x[1] = -0.263
y[1] (analytic) = 10.151241234828453851758807782194
y[1] (numeric) = 10.151241234828453851758807782193
absolute error = 1e-30
relative error = 9.8510120769176955903632111686319e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.393
Order of pole = 598
TOP MAIN SOLVE Loop
memory used=186.9MB, alloc=4.5MB, time=7.93
x[1] = -0.262
y[1] (analytic) = 10.151415871147778451309467021767
y[1] (numeric) = 10.151415871147778451309467021766
absolute error = 1e-30
relative error = 9.8508426084895894553411206708230e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.391
Order of pole = 597.9
TOP MAIN SOLVE Loop
x[1] = -0.261
y[1] (analytic) = 10.151590609012525923838646205332
y[1] (numeric) = 10.151590609012525923838646205331
absolute error = 1e-30
relative error = 9.8506730473567909440160328585189e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.389
Order of pole = 597.8
TOP MAIN SOLVE Loop
x[1] = -0.26
y[1] (analytic) = 10.151765448424516671887520378636
y[1] (numeric) = 10.151765448424516671887520378635
absolute error = 1e-30
relative error = 9.8505033935274089562439444277694e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.387
Order of pole = 597.8
TOP MAIN SOLVE Loop
x[1] = -0.259
y[1] (analytic) = 10.151940389385572243099255180551
y[1] (numeric) = 10.15194038938557224309925518055
absolute error = 1e-30
relative error = 9.8503336470095564073200803000670e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.386
Order of pole = 597.7
TOP MAIN SOLVE Loop
x[1] = -0.258
y[1] (analytic) = 10.152115431897515330396853114116
y[1] (numeric) = 10.152115431897515330396853114115
absolute error = 1e-30
relative error = 9.8501638078113502269110548336973e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.384
Order of pole = 597.7
TOP MAIN SOLVE Loop
x[1] = -0.257
y[1] (analytic) = 10.152290575962169772161128456964
y[1] (numeric) = 10.152290575962169772161128456963
absolute error = 1e-30
relative error = 9.8499938759409113579865618374382e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.382
Order of pole = 597.6
TOP MAIN SOLVE Loop
x[1] = -0.256
y[1] (analytic) = 10.152465821581360552408810861289
y[1] (numeric) = 10.152465821581360552408810861289
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.38
Order of pole = 597.6
TOP MAIN SOLVE Loop
x[1] = -0.255
y[1] (analytic) = 10.152641168756913800970777693545
y[1] (numeric) = 10.152641168756913800970777693545
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.378
Order of pole = 597.5
TOP MAIN SOLVE Loop
x[1] = -0.254
y[1] (analytic) = 10.152816617490656793670415164107
y[1] (numeric) = 10.152816617490656793670415164106
absolute error = 1e-30
relative error = 9.8494835243774682269157123499493e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.377
Order of pole = 597.4
TOP MAIN SOLVE Loop
x[1] = -0.253
y[1] (analytic) = 10.152992167784417952502108297179
y[1] (numeric) = 10.152992167784417952502108297179
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.375
Order of pole = 597.4
TOP MAIN SOLVE Loop
x[1] = -0.252
y[1] (analytic) = 10.153167819640026845809859791279
y[1] (numeric) = 10.153167819640026845809859791279
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.373
Order of pole = 597.3
TOP MAIN SOLVE Loop
memory used=190.7MB, alloc=4.5MB, time=8.10
x[1] = -0.251
y[1] (analytic) = 10.153343573059314188466037820643
y[1] (numeric) = 10.153343573059314188466037820643
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.371
Order of pole = 597.3
TOP MAIN SOLVE Loop
x[1] = -0.25
y[1] (analytic) = 10.153519428044111842050252827982
y[1] (numeric) = 10.153519428044111842050252827982
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.37
Order of pole = 597.2
TOP MAIN SOLVE Loop
x[1] = -0.249
y[1] (analytic) = 10.153695384596252815028363359032
y[1] (numeric) = 10.153695384596252815028363359032
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.368
Order of pole = 597.2
TOP MAIN SOLVE Loop
x[1] = -0.248
y[1] (analytic) = 10.153871442717571262931610989391
y[1] (numeric) = 10.153871442717571262931610989391
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.366
Order of pole = 597.1
TOP MAIN SOLVE Loop
x[1] = -0.247
y[1] (analytic) = 10.154047602409902488535884394188
y[1] (numeric) = 10.154047602409902488535884394188
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.364
Order of pole = 597.1
TOP MAIN SOLVE Loop
x[1] = -0.246
y[1] (analytic) = 10.154223863675082942041112611158
y[1] (numeric) = 10.154223863675082942041112611158
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.363
Order of pole = 597
TOP MAIN SOLVE Loop
x[1] = -0.245
y[1] (analytic) = 10.154400226514950221250787547761
y[1] (numeric) = 10.154400226514950221250787547761
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.361
Order of pole = 596.9
TOP MAIN SOLVE Loop
x[1] = -0.244
y[1] (analytic) = 10.154576690931343071751615782996
y[1] (numeric) = 10.154576690931343071751615782996
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.359
Order of pole = 596.9
TOP MAIN SOLVE Loop
x[1] = -0.243
y[1] (analytic) = 10.154753256926101387093299714639
y[1] (numeric) = 10.154753256926101387093299714639
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.357
Order of pole = 596.8
TOP MAIN SOLVE Loop
x[1] = -0.242
y[1] (analytic) = 10.154929924501066208968448102653
y[1] (numeric) = 10.154929924501066208968448102653
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.356
Order of pole = 596.8
TOP MAIN SOLVE Loop
x[1] = -0.241
y[1] (analytic) = 10.155106693658079727392616059567
y[1] (numeric) = 10.155106693658079727392616059567
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.354
Order of pole = 596.7
TOP MAIN SOLVE Loop
x[1] = -0.24
y[1] (analytic) = 10.155283564398985280884474538669
y[1] (numeric) = 10.15528356439898528088447453867
absolute error = 1e-30
relative error = 9.8470908631804656603145738678209e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.352
Order of pole = 596.7
memory used=194.5MB, alloc=4.5MB, time=8.27
TOP MAIN SOLVE Loop
x[1] = -0.239
y[1] (analytic) = 10.155460536725627356646109370908
y[1] (numeric) = 10.155460536725627356646109370908
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.35
Order of pole = 596.6
TOP MAIN SOLVE Loop
x[1] = -0.238
y[1] (analytic) = 10.155637610639851590743449901412
y[1] (numeric) = 10.155637610639851590743449901413
absolute error = 1e-30
relative error = 9.8467475735085374813252475736229e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.349
Order of pole = 596.6
TOP MAIN SOLVE Loop
x[1] = -0.237
y[1] (analytic) = 10.155814786143504768286827276628
y[1] (numeric) = 10.155814786143504768286827276628
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.347
Order of pole = 596.5
TOP MAIN SOLVE Loop
x[1] = -0.236
y[1] (analytic) = 10.155992063238434823611662433064
y[1] (numeric) = 10.155992063238434823611662433065
absolute error = 1e-30
relative error = 9.8464039138007225537552827138102e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.345
Order of pole = 596.5
TOP MAIN SOLVE Loop
x[1] = -0.235
y[1] (analytic) = 10.156169441926490840459283838732
y[1] (numeric) = 10.156169441926490840459283838733
absolute error = 1e-30
relative error = 9.8462319452038724892056490258968e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.344
Order of pole = 596.4
TOP MAIN SOLVE Loop
x[1] = -0.234
y[1] (analytic) = 10.156346922209523052157875038361
y[1] (numeric) = 10.156346922209523052157875038361
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.342
Order of pole = 596.4
TOP MAIN SOLVE Loop
x[1] = -0.233
y[1] (analytic) = 10.156524504089382841803552053552
y[1] (numeric) = 10.156524504089382841803552053553
absolute error = 1e-30
relative error = 9.8458877305653519225303828405021e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.34
Order of pole = 596.3
TOP MAIN SOLVE Loop
x[1] = -0.232
y[1] (analytic) = 10.156702187567922742441570689064
y[1] (numeric) = 10.156702187567922742441570689065
absolute error = 1e-30
relative error = 9.8457154845401192879064710804411e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.338
Order of pole = 596.3
TOP MAIN SOLVE Loop
x[1] = -0.231
y[1] (analytic) = 10.156879972646996437247663796449
y[1] (numeric) = 10.15687997264699643724766379645
absolute error = 1e-30
relative error = 9.8455431460552036404171192312369e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.337
Order of pole = 596.2
TOP MAIN SOLVE Loop
x[1] = -0.23
y[1] (analytic) = 10.157057859328458759709508546343
y[1] (numeric) = 10.157057859328458759709508546344
absolute error = 1e-30
relative error = 9.8453707151188338766783971534573e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.335
Order of pole = 596.2
TOP MAIN SOLVE Loop
x[1] = -0.229
y[1] (analytic) = 10.157235847614165693808323760709
y[1] (numeric) = 10.15723584761416569380832376071
absolute error = 1e-30
relative error = 9.8451981917392428765063816083095e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.333
Order of pole = 596.1
TOP MAIN SOLVE Loop
memory used=198.3MB, alloc=4.5MB, time=8.43
x[1] = -0.228
y[1] (analytic) = 10.157413937505974374200597356423
y[1] (numeric) = 10.157413937505974374200597356424
absolute error = 1e-30
relative error = 9.8450255759246675018352794718002e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.332
Order of pole = 596.1
TOP MAIN SOLVE Loop
x[1] = -0.227
y[1] (analytic) = 10.157592129005743086399943951595
y[1] (numeric) = 10.157592129005743086399943951596
absolute error = 1e-30
relative error = 9.8448528676833485956350865158345e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.33
Order of pole = 596
TOP MAIN SOLVE Loop
x[1] = -0.226
y[1] (analytic) = 10.157770422115331266959092686093
y[1] (numeric) = 10.157770422115331266959092686095
absolute error = 2e-30
relative error = 1.9689360134047061961657563965563e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.328
Order of pole = 596
TOP MAIN SOLVE Loop
x[1] = -0.225
y[1] (analytic) = 10.157948816836599503652005307765
y[1] (numeric) = 10.157948816836599503652005307766
absolute error = 1e-30
relative error = 9.8445071739534634592090591801175e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.327
Order of pole = 595.9
TOP MAIN SOLVE Loop
x[1] = -0.224
y[1] (analytic) = 10.158127313171409535656124575892
y[1] (numeric) = 10.158127313171409535656124575894
absolute error = 2e-30
relative error = 1.9688668376962797620709184643670e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.325
Order of pole = 595.9
TOP MAIN SOLVE Loop
x[1] = -0.223
y[1] (analytic) = 10.158305911121624253734753033485
y[1] (numeric) = 10.158305911121624253734753033487
absolute error = 2e-30
relative error = 1.9688322221231187581091679686655e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.323
Order of pole = 595.8
TOP MAIN SOLVE Loop
x[1] = -0.222
y[1] (analytic) = 10.158484610689107700419562200022
y[1] (numeric) = 10.158484610689107700419562200024
absolute error = 2e-30
relative error = 1.9687975880728618263360768833203e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.322
Order of pole = 595.8
TOP MAIN SOLVE Loop
x[1] = -0.221
y[1] (analytic) = 10.158663411875725070193232236332
y[1] (numeric) = 10.158663411875725070193232236335
absolute error = 3e-30
relative error = 2.9531444033207428620563429677952e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.32
Order of pole = 595.7
TOP MAIN SOLVE Loop
x[1] = -0.22
y[1] (analytic) = 10.158842314683342709672222133329
y[1] (numeric) = 10.158842314683342709672222133331
absolute error = 2e-30
relative error = 1.9687282645476727391888230795919e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.318
Order of pole = 595.7
TOP MAIN SOLVE Loop
x[1] = -0.219
y[1] (analytic) = 10.159021319113828117789670476352
y[1] (numeric) = 10.159021319113828117789670476354
absolute error = 2e-30
relative error = 1.9686935750760488502371333624284e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.317
Order of pole = 595.6
TOP MAIN SOLVE Loop
x[1] = -0.218
y[1] (analytic) = 10.159200425169049945978426836945
y[1] (numeric) = 10.159200425169049945978426836947
absolute error = 2e-30
relative error = 1.9686588671339455658845371707548e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.315
Order of pole = 595.6
TOP MAIN SOLVE Loop
memory used=202.1MB, alloc=4.5MB, time=8.59
x[1] = -0.217
y[1] (analytic) = 10.159379632850877998354213843901
y[1] (numeric) = 10.159379632850877998354213843903
absolute error = 2e-30
relative error = 1.9686241407230190048704554003163e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.313
Order of pole = 595.5
TOP MAIN SOLVE Loop
x[1] = -0.216
y[1] (analytic) = 10.15955894216118323189891998548
y[1] (numeric) = 10.159558942161183231898919985482
absolute error = 2e-30
relative error = 1.9685893958449260797541984956358e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.312
Order of pole = 595.5
TOP MAIN SOLVE Loop
x[1] = -0.215
y[1] (analytic) = 10.159738353101837756644023194742
y[1] (numeric) = 10.159738353101837756644023194743
absolute error = 1e-30
relative error = 9.8427731625066224834869355236342e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.31
Order of pole = 595.5
TOP MAIN SOLVE Loop
x[1] = -0.214
y[1] (analytic) = 10.159917865674714835854145269969
y[1] (numeric) = 10.159917865674714835854145269971
absolute error = 2e-30
relative error = 1.9685198506938727552462804372408e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.308
Order of pole = 595.4
TOP MAIN SOLVE Loop
x[1] = -0.213
y[1] (analytic) = 10.160097479881688886210737182224
y[1] (numeric) = 10.160097479881688886210737182226
absolute error = 2e-30
relative error = 1.9684850504242301481140123715269e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.307
Order of pole = 595.4
TOP MAIN SOLVE Loop
x[1] = -0.212
y[1] (analytic) = 10.160277195724635477995895322095
y[1] (numeric) = 10.160277195724635477995895322097
absolute error = 2e-30
relative error = 1.9684502316940567609627353561030e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.305
Order of pole = 595.3
TOP MAIN SOLVE Loop
x[1] = -0.211
y[1] (analytic) = 10.160457013205431335276308737765
y[1] (numeric) = 10.160457013205431335276308737766
absolute error = 1e-30
relative error = 9.8420769725250673609283607552049e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.304
Order of pole = 595.3
TOP MAIN SOLVE Loop
x[1] = -0.21
y[1] (analytic) = 10.160636932325954336087337416551
y[1] (numeric) = 10.160636932325954336087337416552
absolute error = 1e-30
relative error = 9.8419026942938097634453772739510e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.302
Order of pole = 595.2
TOP MAIN SOLVE Loop
x[1] = -0.209
y[1] (analytic) = 10.160816953088083512617221662139
y[1] (numeric) = 10.16081695308808351261722166214
absolute error = 1e-30
relative error = 9.8417283237848233283704773098485e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.3
Order of pole = 595.2
TOP MAIN SOLVE Loop
x[1] = -0.208
y[1] (analytic) = 10.160997075493699051391422619741
y[1] (numeric) = 10.160997075493699051391422619743
absolute error = 2e-30
relative error = 1.9683107722012848664185553976797e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.299
Order of pole = 595.1
TOP MAIN SOLVE Loop
x[1] = -0.207
y[1] (analytic) = 10.161177299544682293457094001495
y[1] (numeric) = 10.161177299544682293457094001497
absolute error = 2e-30
relative error = 1.9682758611933866020586350738880e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.297
Order of pole = 595.1
TOP MAIN SOLVE Loop
memory used=206.0MB, alloc=4.5MB, time=8.76
x[1] = -0.206
y[1] (analytic) = 10.161357625242915734567685064424
y[1] (numeric) = 10.161357625242915734567685064426
absolute error = 2e-30
relative error = 1.9682409317349347113704625134687e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.295
Order of pole = 595.1
TOP MAIN SOLVE Loop
x[1] = -0.205
y[1] (analytic) = 10.161538052590283025367674893359
y[1] (numeric) = 10.161538052590283025367674893361
absolute error = 2e-30
relative error = 1.9682059838275948245516136874746e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.294
Order of pole = 595
TOP MAIN SOLVE Loop
x[1] = -0.204
y[1] (analytic) = 10.16171858158866897157743804124
y[1] (numeric) = 10.161718581588668971577438041242
absolute error = 2e-30
relative error = 1.9681710174730333630025204112467e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.292
Order of pole = 595
TOP MAIN SOLVE Loop
x[1] = -0.203
y[1] (analytic) = 10.161899212239959534178241579281
y[1] (numeric) = 10.161899212239959534178241579283
absolute error = 2e-30
relative error = 1.9681360326729175391077864449687e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.291
Order of pole = 594.9
TOP MAIN SOLVE Loop
x[1] = -0.202
y[1] (analytic) = 10.162079944546041829597373609502
y[1] (numeric) = 10.162079944546041829597373609505
absolute error = 3e-30
relative error = 2.9521515441433730340261177664427e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.289
Order of pole = 594.9
TOP MAIN SOLVE Loop
x[1] = -0.201
y[1] (analytic) = 10.162260778508804129893403292213
y[1] (numeric) = 10.162260778508804129893403292215
absolute error = 2e-30
relative error = 1.9680660077426956074279256066873e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.287
Order of pole = 594.8
TOP MAIN SOLVE Loop
x[1] = -0.2
y[1] (analytic) = 10.162441714130135862941572441027
y[1] (numeric) = 10.162441714130135862941572441029
absolute error = 2e-30
relative error = 1.9680309676159278773634266591135e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.286
Order of pole = 594.8
TOP MAIN SOLVE Loop
x[1] = -0.199
y[1] (analytic) = 10.162622751411927612619318738093
y[1] (numeric) = 10.162622751411927612619318738095
absolute error = 2e-30
relative error = 1.9679959090502825399565332327689e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.284
Order of pole = 594.8
TOP MAIN SOLVE Loop
x[1] = -0.198
y[1] (analytic) = 10.162803890356071118991930622206
y[1] (numeric) = 10.162803890356071118991930622209
absolute error = 3e-30
relative error = 2.9519412480711461388438610057530e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.283
Order of pole = 594.7
TOP MAIN SOLVE Loop
x[1] = -0.197
y[1] (analytic) = 10.162985130964459278498333902572
y[1] (numeric) = 10.162985130964459278498333902575
absolute error = 3e-30
relative error = 2.9518886049135667333105315689409e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.281
Order of pole = 594.7
TOP MAIN SOLVE Loop
x[1] = -0.196
y[1] (analytic) = 10.163166473238986144137010150986
y[1] (numeric) = 10.163166473238986144137010150988
absolute error = 2e-30
relative error = 1.9678906227367964720328313068351e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.28
Order of pole = 594.6
TOP MAIN SOLVE Loop
x[1] = -0.195
memory used=209.8MB, alloc=4.5MB, time=8.93
y[1] (analytic) = 10.163347917181546925652046925272
y[1] (numeric) = 10.163347917181546925652046925274
absolute error = 2e-30
relative error = 1.9678554904323602410810299879084e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.278
Order of pole = 594.6
TOP MAIN SOLVE Loop
x[1] = -0.194
y[1] (analytic) = 10.16352946279403798971931987686
y[1] (numeric) = 10.163529462794037989719319876862
absolute error = 2e-30
relative error = 1.9678203396974101174045358729767e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.276
Order of pole = 594.5
TOP MAIN SOLVE Loop
x[1] = -0.193
y[1] (analytic) = 10.163711110078356860132806795413
y[1] (numeric) = 10.163711110078356860132806795415
absolute error = 2e-30
relative error = 1.9677851705336212111818953180481e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.275
Order of pole = 594.5
TOP MAIN SOLVE Loop
x[1] = -0.192
y[1] (analytic) = 10.163892859036402217991033643476
y[1] (numeric) = 10.163892859036402217991033643479
absolute error = 3e-30
relative error = 2.9516249744140041317463874223617e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.273
Order of pole = 594.5
TOP MAIN SOLVE Loop
x[1] = -0.191
y[1] (analytic) = 10.164074709670073901883652634165
y[1] (numeric) = 10.164074709670073901883652634168
absolute error = 3e-30
relative error = 2.9515721653893471516833946612182e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.272
Order of pole = 594.4
TOP MAIN SOLVE Loop
x[1] = -0.19
y[1] (analytic) = 10.164256661981272908078152404935
y[1] (numeric) = 10.164256661981272908078152404938
absolute error = 3e-30
relative error = 2.9515193287289770894392451601462e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.27
Order of pole = 594.4
TOP MAIN SOLVE Loop
x[1] = -0.189
y[1] (analytic) = 10.16443871597190139070670034055
y[1] (numeric) = 10.164438715971901390706700340553
absolute error = 3e-30
relative error = 2.9514664644354113397387959752333e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.269
Order of pole = 594.3
TOP MAIN SOLVE Loop
x[1] = -0.188
y[1] (analytic) = 10.164620871643862661953117098383
y[1] (numeric) = 10.164620871643862661953117098385
absolute error = 2e-30
relative error = 1.9676090483407789858975318175859e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.267
Order of pole = 594.3
TOP MAIN SOLVE Loop
x[1] = -0.187
y[1] (analytic) = 10.164803128999061192239983389248
y[1] (numeric) = 10.16480312899906119223998338925
absolute error = 2e-30
relative error = 1.9675737686391788428234499836733e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.265
Order of pole = 594.3
TOP MAIN SOLVE Loop
x[1] = -0.186
y[1] (analytic) = 10.164985488039402610415879067002
y[1] (numeric) = 10.164985488039402610415879067004
absolute error = 2e-30
relative error = 1.9675384705204877561717800516867e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.264
Order of pole = 594.2
TOP MAIN SOLVE Loop
x[1] = -0.185
y[1] (analytic) = 10.165167948766793703942754580192
y[1] (numeric) = 10.165167948766793703942754580194
absolute error = 2e-30
relative error = 1.9675031539863871385429003818445e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.262
Order of pole = 594.2
TOP MAIN SOLVE Loop
x[1] = -0.184
y[1] (analytic) = 10.165350511183142419083434839076
y[1] (numeric) = 10.165350511183142419083434839078
absolute error = 2e-30
relative error = 1.9674678190385591893489867931342e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.261
Order of pole = 594.1
TOP MAIN SOLVE Loop
memory used=213.6MB, alloc=4.5MB, time=9.09
x[1] = -0.183
y[1] (analytic) = 10.165533175290357861089255551397
y[1] (numeric) = 10.165533175290357861089255551399
absolute error = 2e-30
relative error = 1.9674324656786868945935023511875e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.259
Order of pole = 594.1
TOP MAIN SOLVE Loop
x[1] = -0.182
y[1] (analytic) = 10.165715941090350294387832080319
y[1] (numeric) = 10.165715941090350294387832080321
absolute error = 2e-30
relative error = 1.9673970939084540266505963214247e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.258
Order of pole = 594.1
TOP MAIN SOLVE Loop
x[1] = -0.181
y[1] (analytic) = 10.165898808585031142770960877994
y[1] (numeric) = 10.165898808585031142770960877996
absolute error = 2e-30
relative error = 1.9673617037295451440444123333635e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.256
Order of pole = 594
TOP MAIN SOLVE Loop
x[1] = -0.18
y[1] (analytic) = 10.166081777776312989582653548267
y[1] (numeric) = 10.166081777776312989582653548269
absolute error = 2e-30
relative error = 1.9673262951436455912283058019958e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.255
Order of pole = 594
TOP MAIN SOLVE Loop
x[1] = -0.179
y[1] (analytic) = 10.166264848666109577907303592067
y[1] (numeric) = 10.166264848666109577907303592069
absolute error = 2e-30
relative error = 1.9672908681524414983639706521535e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.253
Order of pole = 593.9
TOP MAIN SOLVE Loop
x[1] = -0.178
y[1] (analytic) = 10.166448021256335810757985889096
y[1] (numeric) = 10.166448021256335810757985889098
absolute error = 2e-30
relative error = 1.9672554227576197811004753917919e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.252
Order of pole = 593.9
TOP MAIN SOLVE Loop
x[1] = -0.177
y[1] (analytic) = 10.166631295548907751264888969446
y[1] (numeric) = 10.166631295548907751264888969448
absolute error = 2e-30
relative error = 1.9672199589608681403532085801355e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.25
Order of pole = 593.9
TOP MAIN SOLVE Loop
x[1] = -0.176
y[1] (analytic) = 10.166814671545742622863880128842
y[1] (numeric) = 10.166814671545742622863880128844
absolute error = 2e-30
relative error = 1.9671844767638750620827337366437e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.249
Order of pole = 593.8
TOP MAIN SOLVE Loop
x[1] = -0.175
y[1] (analytic) = 10.166998149248758809485203441246
y[1] (numeric) = 10.166998149248758809485203441249
absolute error = 3e-30
relative error = 2.9507234642524947256103306051421e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.247
Order of pole = 593.8
TOP MAIN SOLVE Loop
x[1] = -0.174
y[1] (analytic) = 10.167181728659875855742310722604
y[1] (numeric) = 10.167181728659875855742310722607
absolute error = 3e-30
relative error = 2.9506701857638836910691771106577e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.246
Order of pole = 593.8
TOP MAIN SOLVE Loop
x[1] = -0.173
y[1] (analytic) = 10.167365409781014467120825499552
y[1] (numeric) = 10.167365409781014467120825499555
absolute error = 3e-30
relative error = 2.9506168796825157491531095491172e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.244
Order of pole = 593.7
TOP MAIN SOLVE Loop
memory used=217.4MB, alloc=4.5MB, time=9.25
x[1] = -0.172
y[1] (analytic) = 10.167549192614096510167640036972
y[1] (numeric) = 10.167549192614096510167640036975
absolute error = 3e-30
relative error = 2.9505635460109283357541322338765e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.243
Order of pole = 593.7
TOP MAIN SOLVE Loop
x[1] = -0.171
y[1] (analytic) = 10.167733077161045012680145478297
y[1] (numeric) = 10.1677330771610450126801454783
absolute error = 3e-30
relative error = 2.9505101847516600626713885682937e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.241
Order of pole = 593.6
TOP MAIN SOLVE Loop
x[1] = -0.17
y[1] (analytic) = 10.167917063423784163895595152541
y[1] (numeric) = 10.167917063423784163895595152543
absolute error = 2e-30
relative error = 1.9669711972715004781857532168026e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.24
Order of pole = 593.6
TOP MAIN SOLVE Loop
x[1] = -0.169
y[1] (analytic) = 10.168101151404239314680601102052
y[1] (numeric) = 10.168101151404239314680601102054
absolute error = 2e-30
relative error = 1.9669355863201608414610323804560e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.238
Order of pole = 593.6
TOP MAIN SOLVE Loop
x[1] = -0.168
y[1] (analytic) = 10.168285341104336977720763885057
y[1] (numeric) = 10.16828534110433697772076388506
absolute error = 3e-30
relative error = 2.9503499354731738349349768011883e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.237
Order of pole = 593.5
TOP MAIN SOLVE Loop
x[1] = -0.167
y[1] (analytic) = 10.168469632526004827710435707088
y[1] (numeric) = 10.16846963252600482771043570709
absolute error = 2e-30
relative error = 1.9668643092590611650732992421045e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.235
Order of pole = 593.5
TOP MAIN SOLVE Loop
x[1] = -0.166
y[1] (analytic) = 10.16865402567117170154261693543
y[1] (numeric) = 10.168654025671171701542616935433
absolute error = 3e-30
relative error = 2.9502429647290394865606292242216e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.234
Order of pole = 593.5
TOP MAIN SOLVE Loop
x[1] = -0.165
y[1] (analytic) = 10.168838520541767598498986050808
y[1] (numeric) = 10.168838520541767598498986050811
absolute error = 3e-30
relative error = 2.9501894379970627120411051651394e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.232
Order of pole = 593.4
TOP MAIN SOLVE Loop
x[1] = -0.164
y[1] (analytic) = 10.169023117139723680440063090516
y[1] (numeric) = 10.169023117139723680440063090519
absolute error = 3e-30
relative error = 2.9501358836952082578820444616186e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.231
Order of pole = 593.4
TOP MAIN SOLVE Loop
x[1] = -0.163
y[1] (analytic) = 10.169207815466972271995506637303
y[1] (numeric) = 10.169207815466972271995506637306
absolute error = 3e-30
relative error = 2.9500823018260241311572181252070e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.229
Order of pole = 593.4
TOP MAIN SOLVE Loop
x[1] = -0.162
y[1] (analytic) = 10.169392615525446860754544408325
y[1] (numeric) = 10.169392615525446860754544408328
absolute error = 3e-30
relative error = 2.9500286923920595118498882724396e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.228
Order of pole = 593.3
TOP MAIN SOLVE Loop
memory used=221.2MB, alloc=4.5MB, time=9.42
x[1] = -0.161
y[1] (analytic) = 10.169577517317082097456537498546
y[1] (numeric) = 10.16957751731708209745653749855
absolute error = 4e-30
relative error = 3.9333000738611530033587482552748e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.226
Order of pole = 593.3
TOP MAIN SOLVE Loop
x[1] = -0.16
y[1] (analytic) = 10.169762520843813796181678333015
y[1] (numeric) = 10.169762520843813796181678333018
absolute error = 3e-30
relative error = 2.9499213908399913779656056753170e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.225
Order of pole = 593.3
TOP MAIN SOLVE Loop
x[1] = -0.159
y[1] (analytic) = 10.169947626107578934541822382466
y[1] (numeric) = 10.169947626107578934541822382469
absolute error = 3e-30
relative error = 2.9498676987269920848982366912729e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.223
Order of pole = 593.2
TOP MAIN SOLVE Loop
x[1] = -0.158
y[1] (analytic) = 10.170132833110315653871453696786
y[1] (numeric) = 10.170132833110315653871453696789
absolute error = 3e-30
relative error = 2.9498139790594207415993644552436e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.222
Order of pole = 593.2
TOP MAIN SOLVE Loop
x[1] = -0.157
y[1] (analytic) = 10.170318141853963259418784310878
y[1] (numeric) = 10.170318141853963259418784310881
absolute error = 3e-30
relative error = 2.9497602318398323875908089808036e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.22
Order of pole = 593.2
TOP MAIN SOLVE Loop
x[1] = -0.156
y[1] (analytic) = 10.17050355234046222053698757755
y[1] (numeric) = 10.170503552340462220536987577553
absolute error = 3e-30
relative error = 2.9497064570707832332993801719667e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.219
Order of pole = 593.1
TOP MAIN SOLVE Loop
x[1] = -0.155
y[1] (analytic) = 10.170689064571754170875565482061
y[1] (numeric) = 10.170689064571754170875565482064
absolute error = 3e-30
relative error = 2.9496526547548306597223235291000e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.217
Order of pole = 593.1
TOP MAIN SOLVE Loop
x[1] = -0.154
y[1] (analytic) = 10.170874678549781908571849993041
y[1] (numeric) = 10.170874678549781908571849993044
absolute error = 3e-30
relative error = 2.9495988248945332180926315372989e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.216
Order of pole = 593
TOP MAIN SOLVE Loop
x[1] = -0.153
y[1] (analytic) = 10.171060394276489396442638504512
y[1] (numeric) = 10.171060394276489396442638504515
absolute error = 3e-30
relative error = 2.9495449674924506295442208065878e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.214
Order of pole = 593
TOP MAIN SOLVE Loop
x[1] = -0.152
y[1] (analytic) = 10.171246211753821762175963423811
y[1] (numeric) = 10.171246211753821762175963423814
absolute error = 3e-30
relative error = 2.9494910825511437847769750333161e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.213
Order of pole = 593
TOP MAIN SOLVE Loop
x[1] = -0.151
y[1] (analytic) = 10.171432130983725298522995960247
y[1] (numeric) = 10.171432130983725298522995960249
absolute error = 2e-30
relative error = 1.9662914467154498291477692347653e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.211
Order of pole = 592.9
TOP MAIN SOLVE Loop
memory used=225.0MB, alloc=4.5MB, time=9.58
x[1] = -0.15
y[1] (analytic) = 10.171618151968147463490084169374
y[1] (numeric) = 10.171618151968147463490084169376
absolute error = 2e-30
relative error = 1.9662554867074044901364450987027e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.21
Order of pole = 592.9
TOP MAIN SOLVE Loop
x[1] = -0.149
y[1] (analytic) = 10.171804274709036880530925307814
y[1] (numeric) = 10.171804274709036880530925307816
absolute error = 2e-30
relative error = 1.9662195083450027710751455984914e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.209
Order of pole = 592.9
TOP MAIN SOLVE Loop
x[1] = -0.148
y[1] (analytic) = 10.171990499208343338738872553595
y[1] (numeric) = 10.171990499208343338738872553598
absolute error = 3e-30
relative error = 2.9492752674449325735573066099389e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.207
Order of pole = 592.9
TOP MAIN SOLVE Loop
x[1] = -0.147
y[1] (analytic) = 10.172176825468017793039376147042
y[1] (numeric) = 10.172176825468017793039376147044
absolute error = 2e-30
relative error = 1.9661474965639724796927362893940e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.206
Order of pole = 592.8
TOP MAIN SOLVE Loop
x[1] = -0.146
y[1] (analytic) = 10.172363253490012364382559007263
y[1] (numeric) = 10.172363253490012364382559007265
absolute error = 2e-30
relative error = 1.9661114631487669970747966712006e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.204
Order of pole = 592.8
TOP MAIN SOLVE Loop
x[1] = -0.145
y[1] (analytic) = 10.172549783276280339935926879379
y[1] (numeric) = 10.172549783276280339935926879381
absolute error = 2e-30
relative error = 1.9660754113860513133654520704418e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.203
Order of pole = 592.8
TOP MAIN SOLVE Loop
x[1] = -0.144
y[1] (analytic) = 10.172736414828776173277213067626
y[1] (numeric) = 10.172736414828776173277213067628
absolute error = 2e-30
relative error = 1.9660393412775389186667614532826e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.201
Order of pole = 592.7
TOP MAIN SOLVE Loop
x[1] = -0.143
y[1] (analytic) = 10.172923148149455484587357809558
y[1] (numeric) = 10.172923148149455484587357809559
absolute error = 1e-30
relative error = 9.8300162641247204038883427584561e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.2
Order of pole = 592.7
TOP MAIN SOLVE Loop
x[1] = -0.142
y[1] (analytic) = 10.17310998324027506084362234659
y[1] (numeric) = 10.173109983240275060843622346591
absolute error = 1e-30
relative error = 9.8298357301499092248490259605150e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.198
Order of pole = 592.7
TOP MAIN SOLVE Loop
x[1] = -0.141
y[1] (analytic) = 10.173296920103192856012837746201
y[1] (numeric) = 10.173296920103192856012837746202
absolute error = 1e-30
relative error = 9.8296551044718401688160284054631e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.197
Order of pole = 592.6
TOP MAIN SOLVE Loop
x[1] = -0.14
y[1] (analytic) = 10.173483958740167991244788531119
y[1] (numeric) = 10.17348395874016799124478853112
absolute error = 1e-30
relative error = 9.8294743870990962335096614722590e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.196
Order of pole = 592.6
TOP MAIN SOLVE Loop
x[1] = -0.139
y[1] (analytic) = 10.173671099153160755065731170901
y[1] (numeric) = 10.173671099153160755065731170901
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.194
Order of pole = 592.6
memory used=228.8MB, alloc=4.5MB, time=9.75
TOP MAIN SOLVE Loop
x[1] = -0.138
y[1] (analytic) = 10.173858341344132603572047491339
y[1] (numeric) = 10.17385834134413260357204749134
absolute error = 1e-30
relative error = 9.8291126773039351348244193653620e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.193
Order of pole = 592.5
TOP MAIN SOLVE Loop
x[1] = -0.137
y[1] (analytic) = 10.174045685315046160624033057188
y[1] (numeric) = 10.174045685315046160624033057189
absolute error = 1e-30
relative error = 9.8289316848987033823837950676729e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.191
Order of pole = 592.5
TOP MAIN SOLVE Loop
x[1] = -0.136
y[1] (analytic) = 10.174233131067865218039820583731
y[1] (numeric) = 10.174233131067865218039820583732
absolute error = 1e-30
relative error = 9.8287506008331675702994503669919e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.19
Order of pole = 592.5
TOP MAIN SOLVE Loop
x[1] = -0.135
y[1] (analytic) = 10.174420678604554735789438432787
y[1] (numeric) = 10.174420678604554735789438432788
absolute error = 1e-30
relative error = 9.8285694251159301050487668942798e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.188
Order of pole = 592.4
TOP MAIN SOLVE Loop
x[1] = -0.134
y[1] (analytic) = 10.174608327927080842189004248766
y[1] (numeric) = 10.174608327927080842189004248767
absolute error = 1e-30
relative error = 9.8283881577555972714887096538943e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.187
Order of pole = 592.4
TOP MAIN SOLVE Loop
x[1] = -0.133
y[1] (analytic) = 10.174796079037410834095053790462
y[1] (numeric) = 10.174796079037410834095053790463
absolute error = 1e-30
relative error = 9.8282067987607792317308495881438e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.186
Order of pole = 592.4
TOP MAIN SOLVE Loop
x[1] = -0.132
y[1] (analytic) = 10.174983931937513177099005014293
y[1] (numeric) = 10.174983931937513177099005014294
absolute error = 1e-30
relative error = 9.8280253481400900240159435167224e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.184
Order of pole = 592.3
TOP MAIN SOLVE Loop
x[1] = -0.131
y[1] (analytic) = 10.175171886629357505721757464762
y[1] (numeric) = 10.175171886629357505721757464763
absolute error = 1e-30
relative error = 9.8278438059021475615880716835167e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.183
Order of pole = 592.3
TOP MAIN SOLVE Loop
x[1] = -0.13
y[1] (analytic) = 10.175359943114914623608427027952
y[1] (numeric) = 10.175359943114914623608427027953
absolute error = 1e-30
relative error = 9.8276621720555736315683331433398e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.181
Order of pole = 592.3
TOP MAIN SOLVE Loop
x[1] = -0.129
y[1] (analytic) = 10.175548101396156503723216103921
y[1] (numeric) = 10.175548101396156503723216103921
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.18
Order of pole = 592.3
TOP MAIN SOLVE Loop
x[1] = -0.128
y[1] (analytic) = 10.175736361475056288544419253892
y[1] (numeric) = 10.175736361475056288544419253892
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.179
Order of pole = 592.2
TOP MAIN SOLVE Loop
memory used=232.7MB, alloc=4.5MB, time=9.92
x[1] = -0.127
y[1] (analytic) = 10.175924723353588290259564378215
y[1] (numeric) = 10.175924723353588290259564378215
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.177
Order of pole = 592.2
TOP MAIN SOLVE Loop
x[1] = -0.126
y[1] (analytic) = 10.17611318703372799096068948108
y[1] (numeric) = 10.17611318703372799096068948108
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.176
Order of pole = 592.2
TOP MAIN SOLVE Loop
x[1] = -0.125
y[1] (analytic) = 10.176301752517452042839755078052
y[1] (numeric) = 10.176301752517452042839755078052
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.174
Order of pole = 592.1
TOP MAIN SOLVE Loop
x[1] = -0.124
y[1] (analytic) = 10.17649041980673826838419230251
y[1] (numeric) = 10.176490419806738268384192302509
absolute error = 1e-30
relative error = 9.8265704456781771352737620621141e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.173
Order of pole = 592.1
TOP MAIN SOLVE Loop
x[1] = -0.123
y[1] (analytic) = 10.176679188903565660572586767136
y[1] (numeric) = 10.176679188903565660572586767135
absolute error = 1e-30
relative error = 9.8263881708129181404432784649313e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.172
Order of pole = 592.1
TOP MAIN SOLVE Loop
x[1] = -0.122
y[1] (analytic) = 10.17686805980991438307049823666
y[1] (numeric) = 10.176868059809914383070498236659
absolute error = 1e-30
relative error = 9.8262058044081412992601156584538e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.17
Order of pole = 592.1
TOP MAIN SOLVE Loop
x[1] = -0.121
y[1] (analytic) = 10.177057032527765770426416168074
y[1] (numeric) = 10.177057032527765770426416168073
absolute error = 1e-30
relative error = 9.8260233464725032129819931754083e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.169
Order of pole = 592
TOP MAIN SOLVE Loop
x[1] = -0.12
y[1] (analytic) = 10.177246107059102328267851174622
y[1] (numeric) = 10.177246107059102328267851174622
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.167
Order of pole = 592
TOP MAIN SOLVE Loop
x[1] = -0.119
y[1] (analytic) = 10.177435283405907733497562469893
y[1] (numeric) = 10.177435283405907733497562469892
absolute error = 1e-30
relative error = 9.8256581560432890219891196887875e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.166
Order of pole = 592
TOP MAIN SOLVE Loop
x[1] = -0.118
y[1] (analytic) = 10.177624561570166834489921348383
y[1] (numeric) = 10.177624561570166834489921348383
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.165
Order of pole = 591.9
TOP MAIN SOLVE Loop
x[1] = -0.117
y[1] (analytic) = 10.177813941553865651287410758985
y[1] (numeric) = 10.177813941553865651287410758985
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.163
Order of pole = 591.9
TOP MAIN SOLVE Loop
memory used=236.5MB, alloc=4.5MB, time=10.08
x[1] = -0.116
y[1] (analytic) = 10.178003423358991375797261027842
y[1] (numeric) = 10.178003423358991375797261027843
absolute error = 1e-30
relative error = 9.8251096841346454671096558240164e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.162
Order of pole = 591.9
TOP MAIN SOLVE Loop
x[1] = -0.115
y[1] (analytic) = 10.178193006987532371988221787125
y[1] (numeric) = 10.178193006987532371988221787125
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.161
Order of pole = 591.9
TOP MAIN SOLVE Loop
x[1] = -0.114
y[1] (analytic) = 10.178382692441478176087470166267
y[1] (numeric) = 10.178382692441478176087470166268
absolute error = 1e-30
relative error = 9.8247435787868871107199749639040e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.159
Order of pole = 591.8
TOP MAIN SOLVE Loop
x[1] = -0.113
y[1] (analytic) = 10.178572479722819496777655302311
y[1] (numeric) = 10.178572479722819496777655302312
absolute error = 1e-30
relative error = 9.8245603889164599820718846924604e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.158
Order of pole = 591.8
TOP MAIN SOLVE Loop
x[1] = -0.112
y[1] (analytic) = 10.178762368833548215394079225995
y[1] (numeric) = 10.178762368833548215394079225996
absolute error = 1e-30
relative error = 9.8243771075932547003544701154807e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.156
Order of pole = 591.8
TOP MAIN SOLVE Loop
x[1] = -0.111
y[1] (analytic) = 10.178952359775657386122014180324
y[1] (numeric) = 10.178952359775657386122014180324
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.155
Order of pole = 591.8
TOP MAIN SOLVE Loop
x[1] = -0.11
y[1] (analytic) = 10.179142452551141236194156428355
y[1] (numeric) = 10.179142452551141236194156428356
absolute error = 1e-30
relative error = 9.8240102706232942337709400964124e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.154
Order of pole = 591.7
TOP MAIN SOLVE Loop
x[1] = -0.109
y[1] (analytic) = 10.179332647161995166088216607038
y[1] (numeric) = 10.179332647161995166088216607039
absolute error = 1e-30
relative error = 9.8238267149939409539450034621946e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.152
Order of pole = 591.7
TOP MAIN SOLVE Loop
x[1] = -0.108
y[1] (analytic) = 10.179522943610215749724646683929
y[1] (numeric) = 10.17952294361021574972464668393
absolute error = 1e-30
relative error = 9.8236430679466133288585908030432e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.151
Order of pole = 591.7
TOP MAIN SOLVE Loop
x[1] = -0.107
y[1] (analytic) = 10.179713341897800734664503573711
y[1] (numeric) = 10.179713341897800734664503573713
absolute error = 2e-30
relative error = 1.9646918658980043865861347466855e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.15
Order of pole = 591.6
TOP MAIN SOLVE Loop
x[1] = -0.106
y[1] (analytic) = 10.179903842026749042307449471459
y[1] (numeric) = 10.17990384202674904230744947146
absolute error = 1e-30
relative error = 9.8232754996328811872938895895891e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.148
Order of pole = 591.6
TOP MAIN SOLVE Loop
memory used=240.3MB, alloc=4.5MB, time=10.24
x[1] = -0.105
y[1] (analytic) = 10.180094443999060768089888959637
y[1] (numeric) = 10.180094443999060768089888959639
absolute error = 2e-30
relative error = 1.9646183156767818717314517125231e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.147
Order of pole = 591.6
TOP MAIN SOLVE Loop
x[1] = -0.104
y[1] (analytic) = 10.180285147816737181683242945902
y[1] (numeric) = 10.180285147816737181683242945904
absolute error = 2e-30
relative error = 1.9645815131503657116336929475844e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.146
Order of pole = 591.6
TOP MAIN SOLVE Loop
x[1] = -0.103
y[1] (analytic) = 10.180475953481780727192359488774
y[1] (numeric) = 10.180475953481780727192359488775
absolute error = 1e-30
relative error = 9.8227234617453647402757012752683e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.144
Order of pole = 591.5
TOP MAIN SOLVE Loop
x[1] = -0.102
y[1] (analytic) = 10.180666860996195023354061568337
y[1] (numeric) = 10.180666860996195023354061568339
absolute error = 2e-30
relative error = 1.9645078532746495403178159926869e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.143
Order of pole = 591.5
TOP MAIN SOLVE Loop
x[1] = -0.101
y[1] (analytic) = 10.180857870361984863735831859163
y[1] (numeric) = 10.180857870361984863735831859164
absolute error = 1e-30
relative error = 9.8223549796442110797416053837442e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.141
Order of pole = 591.5
TOP MAIN SOLVE Loop
x[1] = -0.1
y[1] (analytic) = 10.181048981581156216934634562667
y[1] (numeric) = 10.181048981581156216934634562668
absolute error = 1e-30
relative error = 9.8221706015669923522497139167265e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.14
Order of pole = 591.5
TOP MAIN SOLVE Loop
x[1] = -0.099
y[1] (analytic) = 10.181240194655716226775874356216
y[1] (numeric) = 10.181240194655716226775874356218
absolute error = 2e-30
relative error = 1.9643972264300665670746755652369e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.139
Order of pole = 591.4
TOP MAIN SOLVE Loop
x[1] = -0.098
y[1] (analytic) = 10.181431509587673212512492516303
y[1] (numeric) = 10.181431509587673212512492516304
absolute error = 1e-30
relative error = 9.8218015714029776829757746550613e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.137
Order of pole = 591.4
TOP MAIN SOLVE Loop
x[1] = -0.097
y[1] (analytic) = 10.181622926379036669024200273164
y[1] (numeric) = 10.181622926379036669024200273165
absolute error = 1e-30
relative error = 9.8216169193336758853825221675194e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.136
Order of pole = 591.4
TOP MAIN SOLVE Loop
x[1] = -0.096
y[1] (analytic) = 10.181814445031817267016849454288
y[1] (numeric) = 10.181814445031817267016849454289
absolute error = 1e-30
relative error = 9.8214321759511802682404790716994e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.135
Order of pole = 591.4
TOP MAIN SOLVE Loop
x[1] = -0.095
y[1] (analytic) = 10.182006065548026853221940474274
y[1] (numeric) = 10.182006065548026853221940474275
absolute error = 1e-30
relative error = 9.8212473412642474913761117576987e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.133
Order of pole = 591.3
TOP MAIN SOLVE Loop
x[1] = -0.094
y[1] (analytic) = 10.182197787929678450596267728578
y[1] (numeric) = 10.182197787929678450596267728579
absolute error = 1e-30
relative error = 9.8210624152816380476534272853458e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.132
Order of pole = 591.3
memory used=244.1MB, alloc=4.5MB, time=10.41
TOP MAIN SOLVE Loop
x[1] = -0.093
y[1] (analytic) = 10.182389612178786258521702448711
y[1] (numeric) = 10.182389612178786258521702448712
absolute error = 1e-30
relative error = 9.8208773980121162618314728564182e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.131
Order of pole = 591.3
TOP MAIN SOLVE Loop
x[1] = -0.092
y[1] (analytic) = 10.18258153829736565300511307652
y[1] (numeric) = 10.182581538297365653005113076521
absolute error = 1e-30
relative error = 9.8206922894644502894214020059875e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.129
Order of pole = 591.3
TOP MAIN SOLVE Loop
x[1] = -0.091
y[1] (analytic) = 10.182773566287433186878423215216
y[1] (numeric) = 10.182773566287433186878423215217
absolute error = 1e-30
relative error = 9.8205070896474121155431077476475e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.128
Order of pole = 591.2
TOP MAIN SOLVE Loop
x[1] = -0.09
y[1] (analytic) = 10.182965696151006589998807214869
y[1] (numeric) = 10.18296569615100658999880721487
absolute error = 1e-30
relative error = 9.8203217985697775537814229074241e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.127
Order of pole = 591.2
TOP MAIN SOLVE Loop
x[1] = -0.089
y[1] (analytic) = 10.183157927890104769449023450133
y[1] (numeric) = 10.183157927890104769449023450135
absolute error = 2e-30
relative error = 1.9640272832480652490083775762457e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.125
Order of pole = 591.2
TOP MAIN SOLVE Loop
x[1] = -0.088
y[1] (analytic) = 10.183350261506747809737885348026
y[1] (numeric) = 10.183350261506747809737885348028
absolute error = 2e-30
relative error = 1.9639901885335683312812172101507e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.124
Order of pole = 591.2
TOP MAIN SOLVE Loop
x[1] = -0.087
y[1] (analytic) = 10.183542697002956973000870223614
y[1] (numeric) = 10.183542697002956973000870223615
absolute error = 1e-30
relative error = 9.8197653778611110799865470927942e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.123
Order of pole = 591.1
TOP MAIN SOLVE Loop
x[1] = -0.086
y[1] (analytic) = 10.183735234380754699200865981519
y[1] (numeric) = 10.183735234380754699200865981521
absolute error = 2e-30
relative error = 1.9639159443657851263562436833999e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.121
Order of pole = 591.1
TOP MAIN SOLVE Loop
x[1] = -0.085
y[1] (analytic) = 10.183927873642164606329055741219
y[1] (numeric) = 10.183927873642164606329055741221
absolute error = 2e-30
relative error = 1.9638787949160160501055009934249e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.12
Order of pole = 591.1
TOP MAIN SOLVE Loop
x[1] = -0.084
y[1] (analytic) = 10.184120614789211490605940444124
y[1] (numeric) = 10.184120614789211490605940444126
absolute error = 2e-30
relative error = 1.9638416272246747393111755241858e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.119
Order of pole = 591.1
TOP MAIN SOLVE Loop
x[1] = -0.083
y[1] (analytic) = 10.184313457823921326682499500511
y[1] (numeric) = 10.184313457823921326682499500513
absolute error = 2e-30
relative error = 1.9638044412935217101286100847767e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.117
Order of pole = 591
TOP MAIN SOLVE Loop
memory used=247.9MB, alloc=4.5MB, time=10.57
x[1] = -0.082
y[1] (analytic) = 10.184506402748321267841489534411
y[1] (numeric) = 10.184506402748321267841489534413
absolute error = 2e-30
relative error = 1.9637672371243182425729453783839e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.116
Order of pole = 591
TOP MAIN SOLVE Loop
x[1] = -0.081
y[1] (analytic) = 10.184699449564439646198881284599
y[1] (numeric) = 10.184699449564439646198881284601
absolute error = 2e-30
relative error = 1.9637300147188263802895831237053e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.115
Order of pole = 591
TOP MAIN SOLVE Loop
x[1] = -0.08
y[1] (analytic) = 10.184892598274305972905434719899
y[1] (numeric) = 10.184892598274305972905434719901
absolute error = 2e-30
relative error = 1.9636927740788089303245630843028e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.113
Order of pole = 591
TOP MAIN SOLVE Loop
x[1] = -0.079
y[1] (analytic) = 10.185085848879950938348412427048
y[1] (numeric) = 10.185085848879950938348412427049
absolute error = 1e-30
relative error = 9.8182775760301473144742702648504e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.112
Order of pole = 591
TOP MAIN SOLVE Loop
x[1] = -0.078
y[1] (analytic) = 10.185279201383406412353431329417
y[1] (numeric) = 10.185279201383406412353431329419
absolute error = 2e-30
relative error = 1.9636182381022523111585588382046e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.111
Order of pole = 590.9
TOP MAIN SOLVE Loop
x[1] = -0.077
y[1] (analytic) = 10.185472655786705444386452794953
y[1] (numeric) = 10.185472655786705444386452794955
absolute error = 2e-30
relative error = 1.9635809427692425709850332998808e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.11
Order of pole = 590.9
TOP MAIN SOLVE Loop
x[1] = -0.076
y[1] (analytic) = 10.185666212091882263755911191713
y[1] (numeric) = 10.185666212091882263755911191715
absolute error = 2e-30
relative error = 1.9635436292087661007249194812405e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.108
Order of pole = 590.9
TOP MAIN SOLVE Loop
x[1] = -0.075
y[1] (analytic) = 10.185859870300972279814980949463
y[1] (numeric) = 10.185859870300972279814980949465
absolute error = 2e-30
relative error = 1.9635062974225895209800928843172e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.107
Order of pole = 590.9
TOP MAIN SOLVE Loop
x[1] = -0.074
y[1] (analytic) = 10.186053630416012082163982185816
y[1] (numeric) = 10.186053630416012082163982185818
absolute error = 2e-30
relative error = 1.9634689474124802143735239359285e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.106
Order of pole = 590.8
TOP MAIN SOLVE Loop
x[1] = -0.073
y[1] (analytic) = 10.186247492439039440852924955468
y[1] (numeric) = 10.186247492439039440852924955469
absolute error = 1e-30
relative error = 9.8171578959010316265952684568891e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.104
Order of pole = 590.8
TOP MAIN SOLVE Loop
x[1] = -0.072
y[1] (analytic) = 10.186441456372093306584192181109
y[1] (numeric) = 10.186441456372093306584192181111
absolute error = 2e-30
relative error = 1.9633941927275367597910838230205e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.103
Order of pole = 590.8
TOP MAIN SOLVE Loop
memory used=251.7MB, alloc=4.5MB, time=10.74
x[1] = -0.071
y[1] (analytic) = 10.186635522217213810915361324672
y[1] (numeric) = 10.186635522217213810915361324674
absolute error = 2e-30
relative error = 1.9633567880562411850941809408529e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.102
Order of pole = 590.8
TOP MAIN SOLVE Loop
x[1] = -0.07
y[1] (analytic) = 10.18682968997644226646216485758
y[1] (numeric) = 10.186829689976442266462164857582
absolute error = 2e-30
relative error = 1.9633193651680900296325952923062e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.1
Order of pole = 590.8
TOP MAIN SOLVE Loop
x[1] = -0.069
y[1] (analytic) = 10.187023959651821167101589588764
y[1] (numeric) = 10.187023959651821167101589588766
absolute error = 2e-30
relative error = 1.9632819240648544826796938884201e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.099
Order of pole = 590.7
TOP MAIN SOLVE Loop
x[1] = -0.068
y[1] (analytic) = 10.187218331245394188175114909213
y[1] (numeric) = 10.187218331245394188175114909214
absolute error = 1e-30
relative error = 9.8162223237415324707365405179939e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.098
Order of pole = 590.7
TOP MAIN SOLVE Loop
x[1] = -0.067
y[1] (analytic) = 10.187412804759206186692090011906
y[1] (numeric) = 10.187412804759206186692090011907
absolute error = 1e-30
relative error = 9.8160349361010938717749789807561e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.097
Order of pole = 590.7
TOP MAIN SOLVE Loop
x[1] = -0.066
y[1] (analytic) = 10.187607380195303201533250146015
y[1] (numeric) = 10.187607380195303201533250146016
absolute error = 1e-30
relative error = 9.8158474574118239689960899841510e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.095
Order of pole = 590.7
TOP MAIN SOLVE Loop
x[1] = -0.065
y[1] (analytic) = 10.187802057555732453654371964305
y[1] (numeric) = 10.187802057555732453654371964306
absolute error = 1e-30
relative error = 9.8156598876825939146121510629952e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.094
Order of pole = 590.6
TOP MAIN SOLVE Loop
x[1] = -0.064
y[1] (analytic) = 10.18799683684254234629006802272
y[1] (numeric) = 10.187996836842542346290068022721
absolute error = 1e-30
relative error = 9.8154722269222786594104419643057e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.093
Order of pole = 590.6
TOP MAIN SOLVE Loop
x[1] = -0.063
y[1] (analytic) = 10.188191718057782465157720491193
y[1] (numeric) = 10.188191718057782465157720491195
absolute error = 2e-30
relative error = 1.9630568950279513903195696053983e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.091
Order of pole = 590.6
TOP MAIN SOLVE Loop
x[1] = -0.062
y[1] (analytic) = 10.188386701203503578661554134757
y[1] (numeric) = 10.188386701203503578661554134759
absolute error = 2e-30
relative error = 1.9630193264687822671290074692762e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.09
Order of pole = 590.6
TOP MAIN SOLVE Loop
x[1] = -0.061
y[1] (analytic) = 10.18858178628175763809684862409
y[1] (numeric) = 10.188581786281757638096848624091
absolute error = 1e-30
relative error = 9.8149086985436281511302119599204e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.089
Order of pole = 590.6
TOP MAIN SOLVE Loop
memory used=255.5MB, alloc=4.5MB, time=10.91
x[1] = -0.06
y[1] (analytic) = 10.188776973294597777854290234676
y[1] (numeric) = 10.188776973294597777854290234677
absolute error = 1e-30
relative error = 9.8147206737477975315824332904352e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.088
Order of pole = 590.5
TOP MAIN SOLVE Loop
x[1] = -0.059
y[1] (analytic) = 10.18897226224407831562446299382
y[1] (numeric) = 10.188972262244078315624462993821
absolute error = 1e-30
relative error = 9.8145325579653134033245220833813e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.086
Order of pole = 590.5
TOP MAIN SOLVE Loop
x[1] = -0.058
y[1] (analytic) = 10.189167653132254752602479334783
y[1] (numeric) = 10.189167653132254752602479334784
absolute error = 1e-30
relative error = 9.8143443512050734843155330745979e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.085
Order of pole = 590.5
TOP MAIN SOLVE Loop
x[1] = -0.057
y[1] (analytic) = 10.18936314596118377369275031738
y[1] (numeric) = 10.189363145961183773692750317381
absolute error = 1e-30
relative error = 9.8141560534759792829928046250864e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.084
Order of pole = 590.5
TOP MAIN SOLVE Loop
x[1] = -0.056
y[1] (analytic) = 10.189558740732923247713895474408
y[1] (numeric) = 10.189558740732923247713895474409
absolute error = 1e-30
relative error = 9.8139676647869360971135835594235e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.082
Order of pole = 590.5
TOP MAIN SOLVE Loop
x[1] = -0.055
y[1] (analytic) = 10.189754437449532227603792343344
y[1] (numeric) = 10.189754437449532227603792343346
absolute error = 2e-30
relative error = 1.9627558370293706025192450888882e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.081
Order of pole = 590.4
TOP MAIN SOLVE Loop
x[1] = -0.054
y[1] (analytic) = 10.189950236113070950624765742788
y[1] (numeric) = 10.189950236113070950624765742789
absolute error = 1e-30
relative error = 9.8135906145646429023609705448706e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.08
Order of pole = 590.4
TOP MAIN SOLVE Loop
x[1] = -0.053
y[1] (analytic) = 10.190146136725600838568916853162
y[1] (numeric) = 10.190146136725600838568916853163
absolute error = 1e-30
relative error = 9.8134019530492224251702956927158e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.079
Order of pole = 590.4
TOP MAIN SOLVE Loop
x[1] = -0.052
y[1] (analytic) = 10.190342139289184497963592161276
y[1] (numeric) = 10.190342139289184497963592161277
absolute error = 1e-30
relative error = 9.8132132006095120244688423071161e-30 %
Correct digits = 31
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.077
Order of pole = 590.4
TOP MAIN SOLVE Loop
x[1] = -0.051
y[1] (analytic) = 10.190538243805885720276992328348
y[1] (numeric) = 10.19053824380588572027699232835
absolute error = 2e-30
relative error = 1.9626048714508871854445841603176e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.076
Order of pole = 590.4
TOP MAIN SOLVE Loop
x[1] = -0.05
y[1] (analytic) = 10.190734450277769482123921041191
y[1] (numeric) = 10.190734450277769482123921041193
absolute error = 2e-30
relative error = 1.9625670845985844285519183231016e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.075
Order of pole = 590.3
TOP MAIN SOLVE Loop
x[1] = -0.049
y[1] (analytic) = 10.190930758706901945471673906259
y[1] (numeric) = 10.190930758706901945471673906261
memory used=259.4MB, alloc=4.5MB, time=11.07
absolute error = 2e-30
relative error = 1.9625292795667804923210646213626e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.074
Order of pole = 590.3
TOP MAIN SOLVE Loop
x[1] = -0.048
y[1] (analytic) = 10.191127169095350457846067446356
y[1] (numeric) = 10.191127169095350457846067446358
absolute error = 2e-30
relative error = 1.9624914563572624908648453085800e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.072
Order of pole = 590.3
TOP MAIN SOLVE Loop
x[1] = -0.047
y[1] (analytic) = 10.191323681445183552537608259819
y[1] (numeric) = 10.191323681445183552537608259821
absolute error = 2e-30
relative error = 1.9624536149718182940711736853554e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.071
Order of pole = 590.3
TOP MAIN SOLVE Loop
x[1] = -0.046
y[1] (analytic) = 10.191520295758470948807802402047
y[1] (numeric) = 10.191520295758470948807802402049
absolute error = 2e-30
relative error = 1.9624157554122365273705320791149e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.07
Order of pole = 590.3
TOP MAIN SOLVE Loop
x[1] = -0.045
y[1] (analytic) = 10.191717012037283552095605049313
y[1] (numeric) = 10.191717012037283552095605049315
absolute error = 2e-30
relative error = 1.9623778776803065715033653857106e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.068
Order of pole = 590.2
TOP MAIN SOLVE Loop
x[1] = -0.044
y[1] (analytic) = 10.191913830283693454224010504821
y[1] (numeric) = 10.191913830283693454224010504823
absolute error = 2e-30
relative error = 1.9623399817778185622873902203636e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.067
Order of pole = 590.2
TOP MAIN SOLVE Loop
x[1] = -0.043
y[1] (analytic) = 10.192110750499773933606782607045
y[1] (numeric) = 10.192110750499773933606782607047
absolute error = 2e-30
relative error = 1.9623020677065633903848197253960e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.066
Order of pole = 590.2
TOP MAIN SOLVE Loop
x[1] = -0.042
y[1] (analytic) = 10.192307772687599455455325600412
y[1] (numeric) = 10.192307772687599455455325600414
absolute error = 2e-30
relative error = 1.9622641354683327010695040822141e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.065
Order of pole = 590.2
TOP MAIN SOLVE Loop
x[1] = -0.041
y[1] (analytic) = 10.192504896849245671985695528464
y[1] (numeric) = 10.192504896849245671985695528466
absolute error = 2e-30
relative error = 1.9622261850649188939939867750107e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.063
Order of pole = 590.2
TOP MAIN SOLVE Loop
x[1] = -0.04
y[1] (analytic) = 10.192702122986789422625752209666
y[1] (numeric) = 10.192702122986789422625752209668
absolute error = 2e-30
relative error = 1.9621882164981151229564766536669e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.062
Order of pole = 590.1
TOP MAIN SOLVE Loop
x[1] = -0.039
y[1] (analytic) = 10.192899451102308734222451856088
y[1] (numeric) = 10.19289945110230873422245185609
absolute error = 2e-30
relative error = 1.9621502297697152956677358433430e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.061
Order of pole = 590.1
TOP MAIN SOLVE Loop
x[1] = -0.038
y[1] (analytic) = 10.193096881197882821249280395236
y[1] (numeric) = 10.193096881197882821249280395239
absolute error = 3e-30
relative error = 2.9431683373222711102768253223863e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.06
Order of pole = 590.1
TOP MAIN SOLVE Loop
memory used=263.2MB, alloc=4.5MB, time=11.23
x[1] = -0.037
y[1] (analytic) = 10.193294413275592086013827555358
y[1] (numeric) = 10.193294413275592086013827555361
absolute error = 3e-30
relative error = 2.9431113027529603070146736957446e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.058
Order of pole = 590.1
TOP MAIN SOLVE Loop
x[1] = -0.036
y[1] (analytic) = 10.193492047337518118865501774589
y[1] (numeric) = 10.193492047337518118865501774592
absolute error = 3e-30
relative error = 2.9430542409493347857885117670603e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.057
Order of pole = 590.1
TOP MAIN SOLVE Loop
x[1] = -0.035
y[1] (analytic) = 10.193689783385743698403385994377
y[1] (numeric) = 10.19368978338574369840338599438
absolute error = 3e-30
relative error = 2.9429971519140899281405989143039e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.056
Order of pole = 590
TOP MAIN SOLVE Loop
x[1] = -0.034
y[1] (analytic) = 10.193887621422352791684234397652
y[1] (numeric) = 10.193887621422352791684234397655
absolute error = 3e-30
relative error = 2.9429400356499222447317927950292e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.055
Order of pole = 590
TOP MAIN SOLVE Loop
x[1] = -0.033
y[1] (analytic) = 10.194085561449430554430610152267
y[1] (numeric) = 10.194085561449430554430610152271
absolute error = 4e-30
relative error = 3.9238438562127058333215004369430e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.053
Order of pole = 590
TOP MAIN SOLVE Loop
x[1] = -0.032
y[1] (analytic) = 10.194283603469063331239164220293
y[1] (numeric) = 10.194283603469063331239164220297
absolute error = 4e-30
relative error = 3.9237676285941467823536705895254e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.052
Order of pole = 590
TOP MAIN SOLVE Loop
x[1] = -0.031
y[1] (analytic) = 10.194481747483338655789055293777
y[1] (numeric) = 10.194481747483338655789055293781
absolute error = 4e-30
relative error = 3.9236913646811523679570415604544e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.051
Order of pole = 590
TOP MAIN SOLVE Loop
x[1] = -0.03
y[1] (analytic) = 10.194679993494345251050510917662
y[1] (numeric) = 10.194679993494345251050510917667
absolute error = 5e-30
relative error = 4.9045188305966549437141060819235e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.05
Order of pole = 590
TOP MAIN SOLVE Loop
x[1] = -0.029
y[1] (analytic) = 10.19487834150417302949352986058
y[1] (numeric) = 10.194878341504173029493529860585
absolute error = 5e-30
relative error = 4.9044234099828305142371260102406e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.049
Order of pole = 589.9
TOP MAIN SOLVE Loop
x[1] = -0.028
y[1] (analytic) = 10.195076791514913093296725794293
y[1] (numeric) = 10.195076791514913093296725794298
absolute error = 5e-30
relative error = 4.9043279440144726348639365000107e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.047
Order of pole = 589.9
TOP MAIN SOLVE Loop
x[1] = -0.027
y[1] (analytic) = 10.195275343528657734556312342625
y[1] (numeric) = 10.19527534352865773455631234263
absolute error = 5e-30
relative error = 4.9042324326960886467147661449828e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.046
Order of pole = 589.9
TOP MAIN SOLVE Loop
memory used=267.0MB, alloc=4.5MB, time=11.40
x[1] = -0.026
y[1] (analytic) = 10.195473997547500435495229560748
y[1] (numeric) = 10.195473997547500435495229560753
absolute error = 5e-30
relative error = 4.9041368760321877680959929745580e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.045
Order of pole = 589.9
TOP MAIN SOLVE Loop
x[1] = -0.025
y[1] (analytic) = 10.195672753573535868672411905759
y[1] (numeric) = 10.195672753573535868672411905764
absolute error = 5e-30
relative error = 4.9040412740272810939144313416090e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.044
Order of pole = 589.9
TOP MAIN SOLVE Loop
x[1] = -0.024
y[1] (analytic) = 10.19587161160885989719219775952
y[1] (numeric) = 10.195871611608859897192197759525
absolute error = 5e-30
relative error = 4.9039456266858815950914102108147e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.042
Order of pole = 589.9
TOP MAIN SOLVE Loop
x[1] = -0.023
y[1] (analytic) = 10.196070571655569574913880564799
y[1] (numeric) = 10.196070571655569574913880564805
absolute error = 6e-30
relative error = 5.8846199208150049415719715599430e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.041
Order of pole = 589.8
TOP MAIN SOLVE Loop
x[1] = -0.022
y[1] (analytic) = 10.196269633715763146661401635789
y[1] (numeric) = 10.196269633715763146661401635795
absolute error = 6e-30
relative error = 5.8845050352139984605142666319448e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.04
Order of pole = 589.8
TOP MAIN SOLVE Loop
x[1] = -0.021
y[1] (analytic) = 10.196468797791540048433184704128
y[1] (numeric) = 10.196468797791540048433184704134
absolute error = 6e-30
relative error = 5.8843900952254607854732874554660e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.039
Order of pole = 589.8
TOP MAIN SOLVE Loop
x[1] = -0.02
y[1] (analytic) = 10.196668063885000907612112261616
y[1] (numeric) = 10.196668063885000907612112261623
absolute error = 7e-30
relative error = 6.8649876176639525592862765005370e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.037
Order of pole = 589.8
TOP MAIN SOLVE Loop
x[1] = -0.019
y[1] (analytic) = 10.196867431998247543175643760856
y[1] (numeric) = 10.196867431998247543175643760862
absolute error = 6e-30
relative error = 5.8841600521074923528964557140371e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.036
Order of pole = 589.8
TOP MAIN SOLVE Loop
x[1] = -0.018
y[1] (analytic) = 10.197066902133382965906075735088
y[1] (numeric) = 10.197066902133382965906075735094
absolute error = 6e-30
relative error = 5.8840449489889174636288165528126e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.035
Order of pole = 589.7
TOP MAIN SOLVE Loop
x[1] = -0.017
y[1] (analytic) = 10.19726647429251137860094389858
y[1] (numeric) = 10.197266474292511378600943898586
absolute error = 6e-30
relative error = 5.8839297915045231155048706970147e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.034
Order of pole = 589.7
TOP MAIN SOLVE Loop
x[1] = -0.016
y[1] (analytic) = 10.197466148477738176283567288927
y[1] (numeric) = 10.197466148477738176283567288933
absolute error = 6e-30
relative error = 5.8838145796597428580277440894990e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.032
Order of pole = 589.7
TOP MAIN SOLVE Loop
memory used=270.8MB, alloc=4.5MB, time=11.57
x[1] = -0.015
y[1] (analytic) = 10.197665924691169946413734512724
y[1] (numeric) = 10.19766592469116994641373451273
absolute error = 6e-30
relative error = 5.8836993134600124855787849428195e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.031
Order of pole = 589.7
TOP MAIN SOLVE Loop
x[1] = -0.014
y[1] (analytic) = 10.197865802934914469098532156073
y[1] (numeric) = 10.197865802934914469098532156079
absolute error = 6e-30
relative error = 5.8835839929107700367119623575616e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.03
Order of pole = 589.7
TOP MAIN SOLVE Loop
x[1] = -0.013
y[1] (analytic) = 10.198065783211080717303315421487
y[1] (numeric) = 10.198065783211080717303315421493
absolute error = 6e-30
relative error = 5.8834686180174557934480161951436e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.029
Order of pole = 589.7
TOP MAIN SOLVE Loop
x[1] = -0.012
y[1] (analytic) = 10.198265865521778857062821052758
y[1] (numeric) = 10.198265865521778857062821052763
absolute error = 5e-30
relative error = 4.9027943239879269004736319569545e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.028
Order of pole = 589.6
TOP MAIN SOLVE Loop
x[1] = -0.011
y[1] (analytic) = 10.19846604986912024769242260944
y[1] (numeric) = 10.198466049869120247692422609445
absolute error = 5e-30
relative error = 4.9026980876836535540906046273622e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.026
Order of pole = 589.6
TOP MAIN SOLVE Loop
x[1] = -0.01
y[1] (analytic) = 10.198666336255217441999528152639
y[1] (numeric) = 10.198666336255217441999528152645
absolute error = 6e-30
relative error = 5.8831221673275187546525838829933e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.025
Order of pole = 589.6
TOP MAIN SOLVE Loop
x[1] = -0.009
y[1] (analytic) = 10.198866724682184186495120403847
y[1] (numeric) = 10.198866724682184186495120403853
absolute error = 6e-30
relative error = 5.8830065751123649986242850753792e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.024
Order of pole = 589.6
TOP MAIN SOLVE Loop
x[1] = -0.008
y[1] (analytic) = 10.199067215152135421605439438611
y[1] (numeric) = 10.199067215152135421605439438617
absolute error = 6e-30
relative error = 5.8828909285803744855819748231838e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.023
Order of pole = 589.6
TOP MAIN SOLVE Loop
x[1] = -0.007
y[1] (analytic) = 10.199267807667187281883807976889
y[1] (numeric) = 10.199267807667187281883807976895
absolute error = 6e-30
relative error = 5.8827752277370009435102531850683e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.022
Order of pole = 589.6
TOP MAIN SOLVE Loop
x[1] = -0.006
y[1] (analytic) = 10.199468502229457096222599331983
y[1] (numeric) = 10.199468502229457096222599331989
absolute error = 6e-30
relative error = 5.8826594725877003389125872517973e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.02
Order of pole = 589.6
TOP MAIN SOLVE Loop
x[1] = -0.005
y[1] (analytic) = 10.199669298841063388065348079995
y[1] (numeric) = 10.199669298841063388065348080002
absolute error = 7e-30
relative error = 6.8629676069942526887873889164652e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.019
Order of pole = 589.5
TOP MAIN SOLVE Loop
memory used=274.6MB, alloc=4.5MB, time=11.73
x[1] = -0.004
y[1] (analytic) = 10.199870197504125875619003511812
y[1] (numeric) = 10.199870197504125875619003511819
absolute error = 7e-30
relative error = 6.8628324326253451625837638045349e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.018
Order of pole = 589.5
TOP MAIN SOLVE Loop
x[1] = -0.003
y[1] (analytic) = 10.200071198220765472066325929654
y[1] (numeric) = 10.20007119822076547206632592966
absolute error = 6e-30
relative error = 5.8823118813588293779153344520577e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.017
Order of pole = 589.5
TOP MAIN SOLVE Loop
x[1] = -0.002
y[1] (analytic) = 10.2002723009931042857784258503
y[1] (numeric) = 10.200272300993104285778425850306
absolute error = 6e-30
relative error = 5.8821959090404249338464847068691e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.015
Order of pole = 589.5
TOP MAIN SOLVE Loop
x[1] = -0.001
y[1] (analytic) = 10.200473505823265620527446177141
y[1] (numeric) = 10.200473505823265620527446177147
absolute error = 6e-30
relative error = 5.8820798824434068127691510559676e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.014
Order of pole = 589.5
TOP MAIN SOLVE Loop
x[1] = 0
y[1] (analytic) = 10.200674812713373975699387403259
y[1] (numeric) = 10.200674812713373975699387403265
absolute error = 6e-30
relative error = 5.8819638015732443974268132959394e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.013
Order of pole = 589.5
TOP MAIN SOLVE Loop
x[1] = 0.001
y[1] (analytic) = 10.200876221665555046507075907787
y[1] (numeric) = 10.200876221665555046507075907793
absolute error = 6e-30
relative error = 5.8818476664354093041217821928950e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.012
Order of pole = 589.4
TOP MAIN SOLVE Loop
x[1] = 0.002
y[1] (analytic) = 10.201077732681935724203275407864
y[1] (numeric) = 10.20107773268193572420327540787
absolute error = 6e-30
relative error = 5.8817314770353753820056353777345e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.011
Order of pole = 589.4
TOP MAIN SOLVE Loop
x[1] = 0.003
y[1] (analytic) = 10.201279345764644096293941628535
y[1] (numeric) = 10.201279345764644096293941628541
absolute error = 6e-30
relative error = 5.8816152333786187123694067911867e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.009
Order of pole = 589.4
TOP MAIN SOLVE Loop
x[1] = 0.004
y[1] (analytic) = 10.201481060915809446751620253008
y[1] (numeric) = 10.201481060915809446751620253015
absolute error = 7e-30
relative error = 6.8617487580490538759224514593634e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.008
Order of pole = 589.4
TOP MAIN SOLVE Loop
x[1] = 0.005
y[1] (analytic) = 10.201682878137562256228988215737
y[1] (numeric) = 10.201682878137562256228988215744
absolute error = 7e-30
relative error = 6.8616130138696613808271233315407e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.007
Order of pole = 589.4
TOP MAIN SOLVE Loop
x[1] = 0.006
y[1] (analytic) = 10.201884797432034202272538400824
y[1] (numeric) = 10.201884797432034202272538400831
absolute error = 7e-30
relative error = 6.8614772064099409148344135988842e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.006
Order of pole = 589.4
TOP MAIN SOLVE Loop
x[1] = 0.007
y[1] (analytic) = 10.202086818801358159536407808333
y[1] (numeric) = 10.20208681880135815953640780834
absolute error = 7e-30
relative error = 6.8613413356762916478144568595913e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.005
Order of pole = 589.4
memory used=278.4MB, alloc=4.5MB, time=11.90
TOP MAIN SOLVE Loop
x[1] = 0.008
y[1] (analytic) = 10.202288942247668199996349251104
y[1] (numeric) = 10.202288942247668199996349251111
absolute error = 7e-30
relative error = 6.8612054016751153496552181588472e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.003
Order of pole = 589.3
TOP MAIN SOLVE Loop
x[1] = 0.009
y[1] (analytic) = 10.202491167773099593163846644759
y[1] (numeric) = 10.202491167773099593163846644766
absolute error = 7e-30
relative error = 6.8610694044128163894326590446118e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.002
Order of pole = 589.3
TOP MAIN SOLVE Loop
x[1] = 0.01
y[1] (analytic) = 10.202693495379788806300373953602
y[1] (numeric) = 10.202693495379788806300373953609
absolute error = 7e-30
relative error = 6.8609333438958017345806172722731e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8.001
Order of pole = 589.3
TOP MAIN SOLVE Loop
x[1] = 0.011
y[1] (analytic) = 10.202895925069873504631797855195
y[1] (numeric) = 10.202895925069873504631797855203
absolute error = 8e-30
relative error = 7.8409111087205496572118860868788e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 8
Order of pole = 589.3
TOP MAIN SOLVE Loop
x[1] = 0.012
y[1] (analytic) = 10.203098456845492551562924186434
y[1] (numeric) = 10.203098456845492551562924186442
absolute error = 8e-30
relative error = 7.8407554664265899400343919140756e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.999
Order of pole = 589.3
TOP MAIN SOLVE Loop
x[1] = 0.013
y[1] (analytic) = 10.203301090708786008892188233991
y[1] (numeric) = 10.203301090708786008892188233999
absolute error = 8e-30
relative error = 7.8405997518635111251583756353396e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.997
Order of pole = 589.3
TOP MAIN SOLVE Loop
x[1] = 0.014
y[1] (analytic) = 10.203503826661895137026488932062
y[1] (numeric) = 10.20350382666189513702648893207
absolute error = 8e-30
relative error = 7.8404439650386473297934583758567e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.996
Order of pole = 589.3
TOP MAIN SOLVE Loop
x[1] = 0.015
y[1] (analytic) = 10.203706664706962395196167030396
y[1] (numeric) = 10.203706664706962395196167030404
absolute error = 8e-30
relative error = 7.8402881059593356359526730776473e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.995
Order of pole = 589.2
TOP MAIN SOLVE Loop
x[1] = 0.016
y[1] (analytic) = 10.20390960484613144167012729563
y[1] (numeric) = 10.203909604846131441670127295638
absolute error = 8e-30
relative error = 7.8401321746329160895017960697713e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.994
Order of pole = 589.2
TOP MAIN SOLVE Loop
x[1] = 0.017
y[1] (analytic) = 10.204112647081547133971104809025
y[1] (numeric) = 10.204112647081547133971104809033
absolute error = 8e-30
relative error = 7.8399761710667316992083527236942e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.993
Order of pole = 589.2
TOP MAIN SOLVE Loop
x[1] = 0.018
y[1] (analytic) = 10.20431579141535552909107542373
y[1] (numeric) = 10.204315791415355529091075423738
absolute error = 8e-30
relative error = 7.8398200952681284357902973859043e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.992
Order of pole = 589.2
TOP MAIN SOLVE Loop
memory used=282.3MB, alloc=4.5MB, time=12.06
x[1] = 0.019
y[1] (analytic) = 10.204519037849703883706810444771
y[1] (numeric) = 10.204519037849703883706810444779
absolute error = 8e-30
relative error = 7.8396639472444552309643677798965e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.99
Order of pole = 589.2
TOP MAIN SOLVE Loop
x[1] = 0.02
y[1] (analytic) = 10.204722386386740654395575594992
y[1] (numeric) = 10.204722386386740654395575595
absolute error = 8e-30
relative error = 7.8395077270030639764941140696871e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.989
Order of pole = 589.2
TOP MAIN SOLVE Loop
x[1] = 0.021
y[1] (analytic) = 10.204925837028615497850974330257
y[1] (numeric) = 10.204925837028615497850974330264
absolute error = 7e-30
relative error = 6.8594325052323958328329024299071e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.988
Order of pole = 589.2
TOP MAIN SOLVE Loop
x[1] = 0.022
y[1] (analytic) = 10.20512938977747927109893556724
y[1] (numeric) = 10.205129389777479271098935567247
absolute error = 7e-30
relative error = 6.8592956861594809701704462765432e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.987
Order of pole = 589.1
TOP MAIN SOLVE Loop
x[1] = 0.023
y[1] (analytic) = 10.205333044635484031713845887219
y[1] (numeric) = 10.205333044635484031713845887226
absolute error = 7e-30
relative error = 6.8591588039153770618602787952176e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.986
Order of pole = 589.1
TOP MAIN SOLVE Loop
x[1] = 0.024
y[1] (analytic) = 10.205536801604783038034826279308
y[1] (numeric) = 10.205536801604783038034826279315
absolute error = 7e-30
relative error = 6.8590218585065273650239166901346e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.984
Order of pole = 589.1
TOP MAIN SOLVE Loop
x[1] = 0.025
y[1] (analytic) = 10.205740660687530749382153486634
y[1] (numeric) = 10.205740660687530749382153486641
absolute error = 7e-30
relative error = 6.8588848499393777226547005232175e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.983
Order of pole = 589.1
TOP MAIN SOLVE Loop
x[1] = 0.026
y[1] (analytic) = 10.205944621885882826273826019017
y[1] (numeric) = 10.205944621885882826273826019024
absolute error = 7e-30
relative error = 6.8587477782203765627831156502437e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.982
Order of pole = 589.1
TOP MAIN SOLVE Loop
x[1] = 0.027
y[1] (analytic) = 10.206148685201996130642274895754
y[1] (numeric) = 10.206148685201996130642274895762
absolute error = 8e-30
relative error = 7.8384121638353998830192339012768e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.981
Order of pole = 589.1
TOP MAIN SOLVE Loop
x[1] = 0.028
y[1] (analytic) = 10.206352850638028726051219182173
y[1] (numeric) = 10.20635285063802872605121918218
absolute error = 7e-30
relative error = 6.8584734453526263228304465101522e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.98
Order of pole = 589.1
TOP MAIN SOLVE Loop
x[1] = 0.029
y[1] (analytic) = 10.206557118196139877912666383655
y[1] (numeric) = 10.206557118196139877912666383662
absolute error = 7e-30
relative error = 6.8583361842167870164799774522864e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.979
Order of pole = 589
TOP MAIN SOLVE Loop
memory used=286.1MB, alloc=4.5MB, time=12.22
x[1] = 0.03
y[1] (analytic) = 10.206761487878490053704057760912
y[1] (numeric) = 10.206761487878490053704057760918
absolute error = 6e-30
relative error = 5.8784561656756420615003106066956e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.977
Order of pole = 589
TOP MAIN SOLVE Loop
x[1] = 0.031
y[1] (analytic) = 10.206965959687240923185558630308
y[1] (numeric) = 10.206965959687240923185558630314
absolute error = 6e-30
relative error = 5.8783384050629775679951785170946e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.976
Order of pole = 589
TOP MAIN SOLVE Loop
x[1] = 0.032
y[1] (analytic) = 10.207170533624555358617493713123
y[1] (numeric) = 10.207170533624555358617493713129
absolute error = 6e-30
relative error = 5.8782205903533644656467814938936e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.975
Order of pole = 589
TOP MAIN SOLVE Loop
x[1] = 0.033
y[1] (analytic) = 10.207375209692597434977927597657
y[1] (numeric) = 10.207375209692597434977927597663
absolute error = 6e-30
relative error = 5.8781027215523454686514277383082e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.974
Order of pole = 589
TOP MAIN SOLVE Loop
x[1] = 0.034
y[1] (analytic) = 10.207579987893532430180390378164
y[1] (numeric) = 10.20757998789353243018039037817
absolute error = 6e-30
relative error = 5.8779847986654655012193003110230e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.973
Order of pole = 589
TOP MAIN SOLVE Loop
x[1] = 0.035
y[1] (analytic) = 10.207784868229526825291748534641
y[1] (numeric) = 10.207784868229526825291748534647
absolute error = 6e-30
relative error = 5.8778668216982716968568361836079e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.972
Order of pole = 589
TOP MAIN SOLVE Loop
x[1] = 0.036
y[1] (analytic) = 10.207989850702748304750221117546
y[1] (numeric) = 10.207989850702748304750221117552
absolute error = 6e-30
relative error = 5.8777487906563133976488635954638e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.97
Order of pole = 589
TOP MAIN SOLVE Loop
x[1] = 0.037
y[1] (analytic) = 10.208194935315365756583541301589
y[1] (numeric) = 10.208194935315365756583541301595
absolute error = 6e-30
relative error = 5.8776307055451421535404978608442e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.969
Order of pole = 588.9
TOP MAIN SOLVE Loop
x[1] = 0.038
y[1] (analytic) = 10.208400122069549272627263372772
y[1] (numeric) = 10.208400122069549272627263372778
absolute error = 6e-30
relative error = 5.8775125663703117216187957705384e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.968
Order of pole = 588.9
TOP MAIN SOLVE Loop
x[1] = 0.039
y[1] (analytic) = 10.208605410967470148743215212927
y[1] (numeric) = 10.208605410967470148743215212933
absolute error = 6e-30
relative error = 5.8773943731373780653941687328136e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.967
Order of pole = 588.9
TOP MAIN SOLVE Loop
x[1] = 0.04
y[1] (analytic) = 10.208810802011300885038096346036
y[1] (numeric) = 10.208810802011300885038096346042
absolute error = 6e-30
relative error = 5.8772761258518993540815547982499e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.966
Order of pole = 588.9
TOP MAIN SOLVE Loop
memory used=289.9MB, alloc=4.5MB, time=12.39
x[1] = 0.041
y[1] (analytic) = 10.20901629520321518608222161068
y[1] (numeric) = 10.209016295203215186082221610686
absolute error = 6e-30
relative error = 5.8771578245194359618813497131203e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.965
Order of pole = 588.9
TOP MAIN SOLVE Loop
x[1] = 0.042
y[1] (analytic) = 10.209221890545387961128410523021
y[1] (numeric) = 10.209221890545387961128410523027
absolute error = 6e-30
relative error = 5.8770394691455504672600971459922e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.963
Order of pole = 588.9
TOP MAIN SOLVE Loop
x[1] = 0.043
y[1] (analytic) = 10.209427588039995324331022394761
y[1] (numeric) = 10.209427588039995324331022394767
absolute error = 6e-30
relative error = 5.8769210597358076522309382322574e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.962
Order of pole = 588.9
TOP MAIN SOLVE Loop
x[1] = 0.044
y[1] (analytic) = 10.209633387689214594965137270589
y[1] (numeric) = 10.209633387689214594965137270594
absolute error = 5e-30
relative error = 4.8973354969131454180281838177625e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.961
Order of pole = 588.9
TOP MAIN SOLVE Loop
x[1] = 0.045
y[1] (analytic) = 10.209839289495224297645882749662
y[1] (numeric) = 10.209839289495224297645882749667
absolute error = 5e-30
relative error = 4.8972367323591835020128890759741e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.96
Order of pole = 588.8
TOP MAIN SOLVE Loop
x[1] = 0.046
y[1] (analytic) = 10.21004529346020416254790675575
y[1] (numeric) = 10.210045293460204162547906755756
absolute error = 6e-30
relative error = 5.8765655073471161429091033152044e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.959
Order of pole = 588.8
TOP MAIN SOLVE Loop
x[1] = 0.047
y[1] (analytic) = 10.210251399586335125624996320692
y[1] (numeric) = 10.210251399586335125624996320698
absolute error = 6e-30
relative error = 5.8764468818496359121139477259573e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.958
Order of pole = 588.8
TOP MAIN SOLVE Loop
x[1] = 0.048
y[1] (analytic) = 10.210457607875799328829842445884
y[1] (numeric) = 10.21045760787579932882984244589
absolute error = 6e-30
relative error = 5.8763282023441552989744580207021e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.956
Order of pole = 588.8
TOP MAIN SOLVE Loop
x[1] = 0.049
y[1] (analytic) = 10.210663918330780120333951106578
y[1] (numeric) = 10.210663918330780120333951106583
absolute error = 5e-30
relative error = 4.8968412240302102430494505114194e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.955
Order of pole = 588.8
TOP MAIN SOLVE Loop
x[1] = 0.05
y[1] (analytic) = 10.210870330953462054747700463802
y[1] (numeric) = 10.210870330953462054747700463808
absolute error = 6e-30
relative error = 5.8760906813315070768403192600161e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.954
Order of pole = 588.8
TOP MAIN SOLVE Loop
x[1] = 0.051
y[1] (analytic) = 10.211076845746030893340544348799
y[1] (numeric) = 10.211076845746030893340544348805
absolute error = 6e-30
relative error = 5.8759718398355020389706643557245e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.953
Order of pole = 588.8
TOP MAIN SOLVE Loop
x[1] = 0.052
y[1] (analytic) = 10.211283462710673604261362084887
y[1] (numeric) = 10.211283462710673604261362084893
absolute error = 6e-30
relative error = 5.8758529443538217595634828595586e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.952
Order of pole = 588.8
memory used=293.7MB, alloc=4.5MB, time=12.55
TOP MAIN SOLVE Loop
x[1] = 0.053
y[1] (analytic) = 10.211490181849578362758954711754
y[1] (numeric) = 10.21149018184957836275895471176
absolute error = 6e-30
relative error = 5.8757339948920530164697689808232e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.951
Order of pole = 588.7
TOP MAIN SOLVE Loop
x[1] = 0.054
y[1] (analytic) = 10.211697003164934551402687677204
y[1] (numeric) = 10.21169700316493455140268767721
absolute error = 6e-30
relative error = 5.8756149914557847831562157786227e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.949
Order of pole = 588.7
TOP MAIN SOLVE Loop
x[1] = 0.055
y[1] (analytic) = 10.211903926658932760303280061458
y[1] (numeric) = 10.211903926658932760303280061464
absolute error = 6e-30
relative error = 5.8754959340506082279827878173755e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.948
Order of pole = 588.7
TOP MAIN SOLVE Loop
x[1] = 0.056
y[1] (analytic) = 10.212110952333764787333740399146
y[1] (numeric) = 10.212110952333764787333740399152
absolute error = 6e-30
relative error = 5.8753768226821167134800550236404e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.947
Order of pole = 588.7
TOP MAIN SOLVE Loop
x[1] = 0.057
y[1] (analytic) = 10.212318080191623638350449164198
y[1] (numeric) = 10.212318080191623638350449164204
absolute error = 6e-30
relative error = 5.8752576573559057956262878893005e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.946
Order of pole = 588.7
TOP MAIN SOLVE Loop
x[1] = 0.058
y[1] (analytic) = 10.212525310234703527414387982879
y[1] (numeric) = 10.212525310234703527414387982885
absolute error = 6e-30
relative error = 5.8751384380775732231243141661739e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.945
Order of pole = 588.7
TOP MAIN SOLVE Loop
x[1] = 0.059
y[1] (analytic) = 10.212732642465199877012515640274
y[1] (numeric) = 10.212732642465199877012515640279
absolute error = 5e-30
relative error = 4.8958493040439324472317809976236e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.944
Order of pole = 588.7
TOP MAIN SOLVE Loop
x[1] = 0.06
y[1] (analytic) = 10.212940076885309318279290945585
y[1] (numeric) = 10.212940076885309318279290945591
absolute error = 6e-30
relative error = 5.8748998376869450682693160289549e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.943
Order of pole = 588.7
TOP MAIN SOLVE Loop
x[1] = 0.061
y[1] (analytic) = 10.213147613497229691218342521662
y[1] (numeric) = 10.213147613497229691218342521667
absolute error = 5e-30
relative error = 4.8956503804882132836942562097634e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.941
Order of pole = 588.7
TOP MAIN SOLVE Loop
x[1] = 0.062
y[1] (analytic) = 10.213355252303160044924285584209
y[1] (numeric) = 10.213355252303160044924285584215
absolute error = 6e-30
relative error = 5.8746610215550580655343701104516e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.94
Order of pole = 588.6
TOP MAIN SOLVE Loop
x[1] = 0.063
y[1] (analytic) = 10.213562993305300637804685776224
y[1] (numeric) = 10.21356299330530063780468577623
absolute error = 6e-30
relative error = 5.8745415326001601450432308337060e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.939
Order of pole = 588.6
TOP MAIN SOLVE Loop
memory used=297.5MB, alloc=4.5MB, time=12.72
x[1] = 0.064
y[1] (analytic) = 10.21377083650585293780217012321
y[1] (numeric) = 10.213770836505852937802170123216
absolute error = 6e-30
relative error = 5.8744219897267730688105133245348e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.938
Order of pole = 588.6
TOP MAIN SOLVE Loop
x[1] = 0.065
y[1] (analytic) = 10.213978781907019622616685174815
y[1] (numeric) = 10.213978781907019622616685174821
absolute error = 6e-30
relative error = 5.8743023929405099143429293590676e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.937
Order of pole = 588.6
TOP MAIN SOLVE Loop
x[1] = 0.066
y[1] (analytic) = 10.214186829511004579927902398568
y[1] (numeric) = 10.214186829511004579927902398574
absolute error = 6e-30
relative error = 5.8741827422469859460780326379174e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.936
Order of pole = 588.6
TOP MAIN SOLVE Loop
x[1] = 0.067
y[1] (analytic) = 10.214394979320012907617770891454
y[1] (numeric) = 10.21439497932001290761777089146
absolute error = 6e-30
relative error = 5.8740630376518186146589354357157e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.934
Order of pole = 588.6
TOP MAIN SOLVE Loop
x[1] = 0.068
y[1] (analytic) = 10.214603231336250913993217475117
y[1] (numeric) = 10.214603231336250913993217475123
absolute error = 6e-30
relative error = 5.8739432791606275562087881940819e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.933
Order of pole = 588.6
TOP MAIN SOLVE Loop
x[1] = 0.069
y[1] (analytic) = 10.214811585561926118008994240535
y[1] (numeric) = 10.214811585561926118008994240542
absolute error = 7e-30
relative error = 6.8527940445755403568725259039163e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.932
Order of pole = 588.6
TOP MAIN SOLVE Loop
x[1] = 0.07
y[1] (analytic) = 10.215020041999247249490673608075
y[1] (numeric) = 10.215020041999247249490673608082
absolute error = 7e-30
relative error = 6.8526542005981076800455814381902e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.931
Order of pole = 588.6
TOP MAIN SOLVE Loop
x[1] = 0.071
y[1] (analytic) = 10.215228600650424249357790968867
y[1] (numeric) = 10.215228600650424249357790968873
absolute error = 6e-30
relative error = 5.8735836803671411468615622541776e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.93
Order of pole = 588.5
TOP MAIN SOLVE Loop
x[1] = 0.072
y[1] (analytic) = 10.215437261517668269847134973512
y[1] (numeric) = 10.215437261517668269847134973519
absolute error = 7e-30
relative error = 6.8523743240727777633318396397635e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.929
Order of pole = 588.5
TOP MAIN SOLVE Loop
x[1] = 0.073
y[1] (analytic) = 10.215646024603191674736185534199
y[1] (numeric) = 10.215646024603191674736185534205
absolute error = 6e-30
relative error = 5.8733436784611565149399333381126e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.928
Order of pole = 588.5
TOP MAIN SOLVE Loop
x[1] = 0.074
y[1] (analytic) = 10.215854889909208039566699606315
y[1] (numeric) = 10.215854889909208039566699606321
absolute error = 6e-30
relative error = 5.8732235967119577482965400946548e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.927
Order of pole = 588.5
TOP MAIN SOLVE Loop
memory used=301.3MB, alloc=4.5MB, time=12.88
x[1] = 0.075
y[1] (analytic) = 10.216063857437932151868444815755
y[1] (numeric) = 10.216063857437932151868444815761
absolute error = 6e-30
relative error = 5.8731034611061338399317896623632e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.925
Order of pole = 588.5
TOP MAIN SOLVE Loop
x[1] = 0.076
y[1] (analytic) = 10.216272927191580011383080998134
y[1] (numeric) = 10.21627292719158001138308099814
absolute error = 6e-30
relative error = 5.8729832716493218836620043472785e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.924
Order of pole = 588.5
TOP MAIN SOLVE Loop
x[1] = 0.077
y[1] (analytic) = 10.216482099172368830288189716182
y[1] (numeric) = 10.216482099172368830288189716188
absolute error = 6e-30
relative error = 5.8728630283471611522432174007621e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.923
Order of pole = 588.5
TOP MAIN SOLVE Loop
x[1] = 0.078
y[1] (analytic) = 10.216691373382517033421451821671
y[1] (numeric) = 10.216691373382517033421451821677
absolute error = 6e-30
relative error = 5.8727427312052930966432900437684e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.922
Order of pole = 588.5
TOP MAIN SOLVE Loop
x[1] = 0.079
y[1] (analytic) = 10.216900749824244258504973128243
y[1] (numeric) = 10.216900749824244258504973128249
absolute error = 6e-30
relative error = 5.8726223802293613453137930344579e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.921
Order of pole = 588.5
TOP MAIN SOLVE Loop
x[1] = 0.08
y[1] (analytic) = 10.217110228499771356369758261595
y[1] (numeric) = 10.217110228499771356369758261601
absolute error = 6e-30
relative error = 5.8725019754250117034616529247255e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.92
Order of pole = 588.4
TOP MAIN SOLVE Loop
x[1] = 0.081
y[1] (analytic) = 10.217319809411320391180332753513
y[1] (numeric) = 10.217319809411320391180332753519
absolute error = 6e-30
relative error = 5.8723815167978921523205631512526e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.919
Order of pole = 588.4
TOP MAIN SOLVE Loop
x[1] = 0.082
y[1] (analytic) = 10.217529492561114640659513446312
y[1] (numeric) = 10.217529492561114640659513446318
absolute error = 6e-30
relative error = 5.8722610043536528484221601067093e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.917
Order of pole = 588.4
TOP MAIN SOLVE Loop
x[1] = 0.083
y[1] (analytic) = 10.217739277951378596313327274282
y[1] (numeric) = 10.217739277951378596313327274288
absolute error = 6e-30
relative error = 5.8721404380979461228669643367602e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.916
Order of pole = 588.4
TOP MAIN SOLVE Loop
x[1] = 0.084
y[1] (analytic) = 10.217949165584337963656078488804
y[1] (numeric) = 10.21794916558433796365607848881
absolute error = 6e-30
relative error = 5.8720198180364264805950870085470e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.915
Order of pole = 588.4
TOP MAIN SOLVE Loop
x[1] = 0.085
y[1] (analytic) = 10.218159155462219662435564393858
y[1] (numeric) = 10.218159155462219662435564393864
absolute error = 6e-30
relative error = 5.8718991441747505996567017963388e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.914
Order of pole = 588.4
TOP MAIN SOLVE Loop
memory used=305.1MB, alloc=4.5MB, time=13.04
x[1] = 0.086
y[1] (analytic) = 10.218369247587251826858439658686
y[1] (numeric) = 10.218369247587251826858439658693
absolute error = 7e-30
relative error = 6.8504081526050068855626627184193e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.913
Order of pole = 588.4
TOP MAIN SOLVE Loop
x[1] = 0.087
y[1] (analytic) = 10.218579441961663805815729274442
y[1] (numeric) = 10.218579441961663805815729274449
absolute error = 7e-30
relative error = 6.8502672409191623110113729112821e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.912
Order of pole = 588.4
TOP MAIN SOLVE Loop
x[1] = 0.088
y[1] (analytic) = 10.218789738587686163108490221702
y[1] (numeric) = 10.218789738587686163108490221708
absolute error = 6e-30
relative error = 5.8715367998453848866685197308782e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.911
Order of pole = 588.4
TOP MAIN SOLVE Loop
x[1] = 0.089
y[1] (analytic) = 10.219000137467550677673621915778
y[1] (numeric) = 10.219000137467550677673621915784
absolute error = 6e-30
relative error = 5.8714159108396942682204814684436e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.91
Order of pole = 588.4
TOP MAIN SOLVE Loop
x[1] = 0.09
y[1] (analytic) = 10.219210638603490343809825496829
y[1] (numeric) = 10.219210638603490343809825496834
absolute error = 5e-30
relative error = 4.8927458067184694770482123853329e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.908
Order of pole = 588.3
TOP MAIN SOLVE Loop
x[1] = 0.091
y[1] (analytic) = 10.219421241997739371403712031795
y[1] (numeric) = 10.2194212419977393714037120318
absolute error = 5e-30
relative error = 4.8926449762653849172983166277647e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.907
Order of pole = 588.3
TOP MAIN SOLVE Loop
x[1] = 0.092
y[1] (analytic) = 10.219631947652533186156059695284
y[1] (numeric) = 10.219631947652533186156059695289
absolute error = 5e-30
relative error = 4.8925441010118847687458386769648e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.906
Order of pole = 588.3
TOP MAIN SOLVE Loop
x[1] = 0.093
y[1] (analytic) = 10.219842755570108429808219996543
y[1] (numeric) = 10.219842755570108429808219996548
absolute error = 5e-30
relative error = 4.8924431809626973952570783433334e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.905
Order of pole = 588.3
TOP MAIN SOLVE Loop
x[1] = 0.094
y[1] (analytic) = 10.220053665752702960368673119734
y[1] (numeric) = 10.220053665752702960368673119739
absolute error = 5e-30
relative error = 4.8923422161225529661431498551728e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.904
Order of pole = 588.3
TOP MAIN SOLVE Loop
x[1] = 0.095
y[1] (analytic) = 10.220264678202555852339732444786
y[1] (numeric) = 10.220264678202555852339732444791
absolute error = 5e-30
relative error = 4.8922412064961834555500935882756e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.903
Order of pole = 588.3
TOP MAIN SOLVE Loop
x[1] = 0.096
y[1] (analytic) = 10.220475792921907396944398316129
y[1] (numeric) = 10.220475792921907396944398316134
absolute error = 5e-30
relative error = 4.8921401520883226418487936465870e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.902
Order of pole = 588.3
TOP MAIN SOLVE Loop
x[1] = 0.097
y[1] (analytic) = 10.220687009912999102353361126707
y[1] (numeric) = 10.220687009912999102353361126712
absolute error = 5e-30
relative error = 4.8920390529037061070247014155666e-29 %
memory used=309.0MB, alloc=4.5MB, time=13.21
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.901
Order of pole = 588.3
TOP MAIN SOLVE Loop
x[1] = 0.098
y[1] (analytic) = 10.22089832917807369391215378468
y[1] (numeric) = 10.220898329178073693912153784685
absolute error = 5e-30
relative error = 4.8919379089470712360673652099092e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.899
Order of pole = 588.3
TOP MAIN SOLVE Loop
x[1] = 0.099
y[1] (analytic) = 10.22110975071937511436845363032
y[1] (numeric) = 10.221109750719375114368453630325
absolute error = 5e-30
relative error = 4.8918367202231572163597661372868e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.898
Order of pole = 588.3
TOP MAIN SOLVE Loop
x[1] = 0.1
y[1] (analytic) = 10.221321274539148524099533870633
y[1] (numeric) = 10.221321274539148524099533870638
absolute error = 5e-30
relative error = 4.8917354867367050370674602998037e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.897
Order of pole = 588.3
TOP MAIN SOLVE Loop
x[1] = 0.101
y[1] (analytic) = 10.221532900639640301339864599308
y[1] (numeric) = 10.221532900639640301339864599313
absolute error = 5e-30
relative error = 4.8916342084924574885275274548672e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.896
Order of pole = 588.2
TOP MAIN SOLVE Loop
x[1] = 0.102
y[1] (analytic) = 10.221744629023098042408863469647
y[1] (numeric) = 10.221744629023098042408863469652
absolute error = 5e-30
relative error = 4.8915328854951591616373262571978e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.895
Order of pole = 588.2
TOP MAIN SOLVE Loop
x[1] = 0.103
y[1] (analytic) = 10.22195645969177056193879608818
y[1] (numeric) = 10.221956459691770561938796088185
absolute error = 5e-30
relative error = 4.8914315177495564472430562037210e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.894
Order of pole = 588.2
TOP MAIN SOLVE Loop
x[1] = 0.104
y[1] (analytic) = 10.222168392647907893102826196742
y[1] (numeric) = 10.222168392647907893102826196746
absolute error = 4e-30
relative error = 3.9130640842083180284225011224746e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.893
Order of pole = 588.2
TOP MAIN SOLVE Loop
x[1] = 0.105
y[1] (analytic) = 10.222380427893761287843215710808
y[1] (numeric) = 10.222380427893761287843215710813
absolute error = 5e-30
relative error = 4.8912286480324324154013312916490e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.892
Order of pole = 588.2
TOP MAIN SOLVE Loop
x[1] = 0.106
y[1] (analytic) = 10.222592565431583217099674681995
y[1] (numeric) = 10.222592565431583217099674682
absolute error = 5e-30
relative error = 4.8911271460704128738848334175479e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.89
Order of pole = 588.2
TOP MAIN SOLVE Loop
x[1] = 0.107
y[1] (analytic) = 10.222804805263627371037861252626
y[1] (numeric) = 10.222804805263627371037861252631
absolute error = 5e-30
relative error = 4.8910255993790924955019534149490e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.889
Order of pole = 588.2
TOP MAIN SOLVE Loop
x[1] = 0.108
y[1] (analytic) = 10.223017147392148659278031670369
y[1] (numeric) = 10.223017147392148659278031670374
absolute error = 5e-30
relative error = 4.8909240079632266616647672900292e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.888
Order of pole = 588.2
TOP MAIN SOLVE Loop
memory used=312.8MB, alloc=4.5MB, time=13.37
x[1] = 0.109
y[1] (analytic) = 10.223229591819403211123840430986
y[1] (numeric) = 10.223229591819403211123840430991
absolute error = 5e-30
relative error = 4.8908223718275725500615111406961e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.887
Order of pole = 588.2
TOP MAIN SOLVE Loop
x[1] = 0.11
y[1] (analytic) = 10.223442138547648375791290617283
y[1] (numeric) = 10.223442138547648375791290617288
absolute error = 5e-30
relative error = 4.8907206909768891340437934318618e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.886
Order of pole = 588.2
TOP MAIN SOLVE Loop
x[1] = 0.111
y[1] (analytic) = 10.223654787579142722637834502424
y[1] (numeric) = 10.223654787579142722637834502429
absolute error = 5e-30
relative error = 4.8906189654159371820136149481547e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.885
Order of pole = 588.2
TOP MAIN SOLVE Loop
x[1] = 0.112
y[1] (analytic) = 10.223867538916146041391624485815
y[1] (numeric) = 10.223867538916146041391624485821
absolute error = 6e-30
relative error = 5.8686206341793751081722358551639e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.884
Order of pole = 588.1
TOP MAIN SOLVE Loop
x[1] = 0.113
y[1] (analytic) = 10.22408039256091934238091442983
y[1] (numeric) = 10.224080392560919342380914429836
absolute error = 6e-30
relative error = 5.8684984562187356581159377921262e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.883
Order of pole = 588.1
TOP MAIN SOLVE Loop
x[1] = 0.114
y[1] (analytic) = 10.224293348515724856763611465684
y[1] (numeric) = 10.22429334851572485676361146569
absolute error = 6e-30
relative error = 5.8683762246229256480954950243049e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.882
Order of pole = 588.1
TOP MAIN SOLVE Loop
x[1] = 0.115
y[1] (analytic) = 10.224506406782826036756978336854
y[1] (numeric) = 10.224506406782826036756978336861
absolute error = 7e-30
relative error = 6.8462962626306110439206238456861e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.88
Order of pole = 588.1
TOP MAIN SOLVE Loop
x[1] = 0.116
y[1] (analytic) = 10.224719567364487555867486348466
y[1] (numeric) = 10.224719567364487555867486348473
absolute error = 7e-30
relative error = 6.8461535339734625927964541948638e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.879
Order of pole = 588.1
TOP MAIN SOLVE Loop
x[1] = 0.117
y[1] (analytic) = 10.224932830262975309120818991137
y[1] (numeric) = 10.224932830262975309120818991144
absolute error = 7e-30
relative error = 6.8460107427619813722216618535903e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.878
Order of pole = 588.1
TOP MAIN SOLVE Loop
x[1] = 0.118
y[1] (analytic) = 10.225146195480556413292026307831
y[1] (numeric) = 10.225146195480556413292026307838
absolute error = 7e-30
relative error = 6.8458678890028500254014935110169e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.877
Order of pole = 588.1
TOP MAIN SOLVE Loop
x[1] = 0.119
y[1] (analytic) = 10.225359663019499207135830072317
y[1] (numeric) = 10.225359663019499207135830072324
absolute error = 7e-30
relative error = 6.8457249727027537017366960012422e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.876
Order of pole = 588.1
TOP MAIN SOLVE Loop
memory used=316.6MB, alloc=4.5MB, time=13.53
x[1] = 0.12
y[1] (analytic) = 10.225573232882073251617079847899
y[1] (numeric) = 10.225573232882073251617079847906
absolute error = 7e-30
relative error = 6.8455819938683800559629286553406e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.875
Order of pole = 588.1
TOP MAIN SOLVE Loop
x[1] = 0.121
y[1] (analytic) = 10.22578690507054933014135999512
y[1] (numeric) = 10.225786905070549330141359995127
absolute error = 7e-30
relative error = 6.8454389525064192472899081094712e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.874
Order of pole = 588.1
TOP MAIN SOLVE Loop
x[1] = 0.122
y[1] (analytic) = 10.226000679587199448785747697223
y[1] (numeric) = 10.22600067958719944878574769723
absolute error = 7e-30
relative error = 6.8452958486235639385402857399547e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.873
Order of pole = 588.1
TOP MAIN SOLVE Loop
x[1] = 0.123
y[1] (analytic) = 10.226214556434296836529722072191
y[1] (numeric) = 10.226214556434296836529722072198
absolute error = 7e-30
relative error = 6.8451526822265092952882578962427e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.872
Order of pole = 588.1
TOP MAIN SOLVE Loop
x[1] = 0.124
y[1] (analytic) = 10.226428535614115945486224440246
y[1] (numeric) = 10.226428535614115945486224440253
absolute error = 7e-30
relative error = 6.8450094533219529849979091027259e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.87
Order of pole = 588
TOP MAIN SOLVE Loop
x[1] = 0.125
y[1] (analytic) = 10.226642617128932451132869815752
y[1] (numeric) = 10.226642617128932451132869815759
absolute error = 7e-30
relative error = 6.8448661619165951761612884003436e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.869
Order of pole = 588
TOP MAIN SOLVE Loop
x[1] = 0.126
y[1] (analytic) = 10.226856800981023252543309692519
y[1] (numeric) = 10.226856800981023252543309692526
absolute error = 7e-30
relative error = 6.8447228080171385374362189989859e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.868
Order of pole = 588
TOP MAIN SOLVE Loop
x[1] = 0.127
y[1] (analytic) = 10.227071087172666472618746191554
y[1] (numeric) = 10.227071087172666472618746191562
absolute error = 8e-30
relative error = 7.8223764475774722706101044705211e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.867
Order of pole = 588
TOP MAIN SOLVE Loop
x[1] = 0.128
y[1] (analytic) = 10.227285475706141458319597640381
y[1] (numeric) = 10.227285475706141458319597640388
absolute error = 7e-30
relative error = 6.8444359127627519406058902417711e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.866
Order of pole = 588
TOP MAIN SOLVE Loop
x[1] = 0.129
y[1] (analytic) = 10.227499966583728780897315653074
y[1] (numeric) = 10.227499966583728780897315653081
absolute error = 7e-30
relative error = 6.8442923714212398128817047936276e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.865
Order of pole = 588
TOP MAIN SOLVE Loop
x[1] = 0.13
y[1] (analytic) = 10.227714559807710236126353780255
y[1] (numeric) = 10.227714559807710236126353780263
absolute error = 8e-30
relative error = 7.8218843058428165877771127758183e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.864
Order of pole = 588
TOP MAIN SOLVE Loop
memory used=320.4MB, alloc=4.5MB, time=13.70
x[1] = 0.131
y[1] (analytic) = 10.227929255380368844536287798314
y[1] (numeric) = 10.227929255380368844536287798321
absolute error = 7e-30
relative error = 6.8440051013431412014202135881353e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.863
Order of pole = 588
TOP MAIN SOLVE Loop
x[1] = 0.132
y[1] (analytic) = 10.228144053303988851644087707187
y[1] (numeric) = 10.228144053303988851644087707194
absolute error = 7e-30
relative error = 6.8438613726199875257589824006572e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.862
Order of pole = 588
TOP MAIN SOLVE Loop
x[1] = 0.133
y[1] (analytic) = 10.228358953580855728186541506105
y[1] (numeric) = 10.228358953580855728186541506112
absolute error = 7e-30
relative error = 6.8437175814497236329758268016044e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.86
Order of pole = 588
TOP MAIN SOLVE Loop
x[1] = 0.134
y[1] (analytic) = 10.228573956213256170352830816741
y[1] (numeric) = 10.228573956213256170352830816747
absolute error = 6e-30
relative error = 5.8659203381477761388433982109213e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.859
Order of pole = 588
TOP MAIN SOLVE Loop
x[1] = 0.135
y[1] (analytic) = 10.228789061203478100017258423267
y[1] (numeric) = 10.228789061203478100017258423274
absolute error = 7e-30
relative error = 6.8434298117947582440907017736616e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.858
Order of pole = 588
TOP MAIN SOLVE Loop
x[1] = 0.136
y[1] (analytic) = 10.229004268553810664972127798901
y[1] (numeric) = 10.229004268553810664972127798908
absolute error = 7e-30
relative error = 6.8432858333235095021325848450037e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.857
Order of pole = 587.9
TOP MAIN SOLVE Loop
x[1] = 0.137
y[1] (analytic) = 10.229219578266544239160774688533
y[1] (numeric) = 10.22921957826654423916077468854
absolute error = 7e-30
relative error = 6.8431417924320560496102880382206e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.856
Order of pole = 587.9
TOP MAIN SOLVE Loop
x[1] = 0.138
y[1] (analytic) = 10.229434990343970422910750817138
y[1] (numeric) = 10.229434990343970422910750817145
absolute error = 7e-30
relative error = 6.8429976891271304898232361098099e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.855
Order of pole = 587.9
TOP MAIN SOLVE Loop
x[1] = 0.139
y[1] (analytic) = 10.22965050478838204316715979369
y[1] (numeric) = 10.229650504788382043167159793697
absolute error = 7e-30
relative error = 6.8428535234154679150039625913053e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.854
Order of pole = 587.9
TOP MAIN SOLVE Loop
x[1] = 0.14
y[1] (analytic) = 10.229866121602073153726145280377
y[1] (numeric) = 10.229866121602073153726145280384
absolute error = 7e-30
relative error = 6.8427092953038059054522037596691e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.853
Order of pole = 587.9
TOP MAIN SOLVE Loop
x[1] = 0.141
y[1] (analytic) = 10.230081840787339035468531496959
y[1] (numeric) = 10.230081840787339035468531496966
absolute error = 7e-30
relative error = 6.8425650047988845286687284860845e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.852
Order of pole = 587.9
TOP MAIN SOLVE Loop
memory used=324.2MB, alloc=4.5MB, time=13.86
x[1] = 0.142
y[1] (analytic) = 10.230297662346476196593616130182
y[1] (numeric) = 10.230297662346476196593616130189
absolute error = 7e-30
relative error = 6.8424206519074463384889041344986e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.851
Order of pole = 587.9
TOP MAIN SOLVE Loop
x[1] = 0.143
y[1] (analytic) = 10.230513586281782372853115718208
y[1] (numeric) = 10.230513586281782372853115718214
absolute error = 6e-30
relative error = 5.8648082028310597493279988696796e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.849
Order of pole = 587.9
TOP MAIN SOLVE Loop
x[1] = 0.144
y[1] (analytic) = 10.23072961259555652778526358007
y[1] (numeric) = 10.230729612595556527785263580076
absolute error = 6e-30
relative error = 5.8646843648502875655036164807025e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.848
Order of pole = 587.9
TOP MAIN SOLVE Loop
x[1] = 0.145
y[1] (analytic) = 10.23094574129009885294906036025
y[1] (numeric) = 10.230945741290098852949060360256
absolute error = 6e-30
relative error = 5.8645604734127088880641317784658e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.847
Order of pole = 587.9
TOP MAIN SOLVE Loop
x[1] = 0.146
y[1] (analytic) = 10.231161972367710768158677258494
y[1] (numeric) = 10.2311619723677107681586772585
absolute error = 6e-30
relative error = 5.8644365285241115660130996036376e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.846
Order of pole = 587.9
TOP MAIN SOLVE Loop
x[1] = 0.147
y[1] (analytic) = 10.231378305830694921718012015066
y[1] (numeric) = 10.231378305830694921718012015072
absolute error = 6e-30
relative error = 5.8643125301902855757813388517726e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.845
Order of pole = 587.9
TOP MAIN SOLVE Loop
x[1] = 0.148
y[1] (analytic) = 10.231594741681355190655397721691
y[1] (numeric) = 10.231594741681355190655397721696
absolute error = 5e-30
relative error = 4.8868237320141858504024335825613e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.844
Order of pole = 587.9
TOP MAIN SOLVE Loop
x[1] = 0.149
y[1] (analytic) = 10.231811279921996680958464528482
y[1] (numeric) = 10.231811279921996680958464528488
absolute error = 6e-30
relative error = 5.8640643732101181291709292137384e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.843
Order of pole = 587.9
TOP MAIN SOLVE Loop
x[1] = 0.15
y[1] (analytic) = 10.232027920554925727809154317237
y[1] (numeric) = 10.232027920554925727809154317242
absolute error = 5e-30
relative error = 4.8866168454794727134108357499215e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.842
Order of pole = 587.8
TOP MAIN SOLVE Loop
x[1] = 0.151
y[1] (analytic) = 10.232244663582449895818888411496
y[1] (numeric) = 10.232244663582449895818888411501
absolute error = 5e-30
relative error = 4.8865133354321407332888694343825e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.841
Order of pole = 587.8
TOP MAIN SOLVE Loop
x[1] = 0.152
y[1] (analytic) = 10.232461509006877979263888393872
y[1] (numeric) = 10.232461509006877979263888393877
absolute error = 5e-30
relative error = 4.8864097808712696692785874594426e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.84
Order of pole = 587.8
TOP MAIN SOLVE Loop
x[1] = 0.153
y[1] (analytic) = 10.232678456830520002320650101162
y[1] (numeric) = 10.232678456830520002320650101167
absolute error = 5e-30
relative error = 4.8863061818016951258485483313396e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.839
Order of pole = 587.8
memory used=328.0MB, alloc=4.5MB, time=14.03
TOP MAIN SOLVE Loop
x[1] = 0.154
y[1] (analytic) = 10.232895507055687219301570867851
y[1] (numeric) = 10.232895507055687219301570867856
absolute error = 5e-30
relative error = 4.8862025382282544759793559554286e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.837
Order of pole = 587.8
TOP MAIN SOLVE Loop
x[1] = 0.155
y[1] (analytic) = 10.233112659684692114890730088655
y[1] (numeric) = 10.23311265968469211489073008866
absolute error = 5e-30
relative error = 4.8860988501557868605423383136767e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.836
Order of pole = 587.8
TOP MAIN SOLVE Loop
x[1] = 0.156
y[1] (analytic) = 10.233329914719848404379823170811
y[1] (numeric) = 10.233329914719848404379823170816
absolute error = 5e-30
relative error = 4.8859951175891331876780393214416e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.835
Order of pole = 587.8
TOP MAIN SOLVE Loop
x[1] = 0.157
y[1] (analytic) = 10.233547272163471033904248946885
y[1] (numeric) = 10.23354727216347103390424894689
absolute error = 5e-30
relative error = 4.8858913405331361321745239861606e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.834
Order of pole = 587.8
TOP MAIN SOLVE Loop
x[1] = 0.158
y[1] (analytic) = 10.23376473201787618067935061892
y[1] (numeric) = 10.233764732017876180679350618925
absolute error = 5e-30
relative error = 4.8857875189926401348454969905922e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.833
Order of pole = 587.8
TOP MAIN SOLVE Loop
x[1] = 0.159
y[1] (analytic) = 10.233982294285381253236810304811
y[1] (numeric) = 10.233982294285381253236810304816
absolute error = 5e-30
relative error = 4.8856836529724914019082348232682e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.832
Order of pole = 587.8
TOP MAIN SOLVE Loop
x[1] = 0.16
y[1] (analytic) = 10.23419995896830489166119725784
y[1] (numeric) = 10.234199958968304891661197257845
absolute error = 5e-30
relative error = 4.8855797424775379043613315788298e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.831
Order of pole = 587.8
TOP MAIN SOLVE Loop
x[1] = 0.161
y[1] (analytic) = 10.234417726068966967826669830384
y[1] (numeric) = 10.234417726068966967826669830389
absolute error = 5e-30
relative error = 4.8854757875126293773622585509307e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.83
Order of pole = 587.8
TOP MAIN SOLVE Loop
x[1] = 0.162
y[1] (analytic) = 10.234635595589688585633831252837
y[1] (numeric) = 10.234635595589688585633831252841
absolute error = 4e-30
relative error = 3.9082974304660938556837901923320e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.829
Order of pole = 587.8
TOP MAIN SOLVE Loop
x[1] = 0.163
y[1] (analytic) = 10.234853567532792081246739298869
y[1] (numeric) = 10.234853567532792081246739298874
absolute error = 5e-30
relative error = 4.8852677441923549926959294014843e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.828
Order of pole = 587.8
TOP MAIN SOLVE Loop
x[1] = 0.164
y[1] (analytic) = 10.235071641900601023330069908203
y[1] (numeric) = 10.235071641900601023330069908208
absolute error = 5e-30
relative error = 4.8851636558466974205334337485810e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.827
Order of pole = 587.7
TOP MAIN SOLVE Loop
memory used=331.8MB, alloc=4.5MB, time=14.19
x[1] = 0.165
y[1] (analytic) = 10.235289818695440213286434838121
y[1] (numeric) = 10.235289818695440213286434838126
absolute error = 5e-30
relative error = 4.8850595230505013886821069467446e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.826
Order of pole = 587.7
TOP MAIN SOLVE Loop
x[1] = 0.166
y[1] (analytic) = 10.235508097919635685493853415009
y[1] (numeric) = 10.235508097919635685493853415013
absolute error = 4e-30
relative error = 3.9079642766469003550005532065525e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.824
Order of pole = 587.7
TOP MAIN SOLVE Loop
x[1] = 0.167
y[1] (analytic) = 10.235726479575514707543378457273
y[1] (numeric) = 10.235726479575514707543378457277
absolute error = 4e-30
relative error = 3.9078808993007439142146089743182e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.823
Order of pole = 587.7
TOP MAIN SOLVE Loop
x[1] = 0.168
y[1] (analytic) = 10.235944963665405780476876441048
y[1] (numeric) = 10.235944963665405780476876441052
absolute error = 4e-30
relative error = 3.9077974864058214420483845687867e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.822
Order of pole = 587.7
TOP MAIN SOLVE Loop
x[1] = 0.169
y[1] (analytic) = 10.236163550191638639024961980143
y[1] (numeric) = 10.236163550191638639024961980147
absolute error = 4e-30
relative error = 3.9077140379660239993005438597464e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.821
Order of pole = 587.7
TOP MAIN SOLVE Loop
x[1] = 0.17
y[1] (analytic) = 10.236382239156544251845086691767
y[1] (numeric) = 10.236382239156544251845086691771
absolute error = 4e-30
relative error = 3.9076305539852440536085942781939e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.82
Order of pole = 587.7
TOP MAIN SOLVE Loop
x[1] = 0.171
y[1] (analytic) = 10.236601030562454821759782519598
y[1] (numeric) = 10.236601030562454821759782519603
absolute error = 5e-30
relative error = 4.8844337930842193486868127900644e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.819
Order of pole = 587.7
TOP MAIN SOLVE Loop
x[1] = 0.172
y[1] (analytic) = 10.236819924411703785995059585852
y[1] (numeric) = 10.236819924411703785995059585856
absolute error = 4e-30
relative error = 3.9074634794163135551398486363608e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.818
Order of pole = 587.7
TOP MAIN SOLVE Loop
x[1] = 0.173
y[1] (analytic) = 10.237038920706625816418958644027
y[1] (numeric) = 10.237038920706625816418958644031
absolute error = 4e-30
relative error = 3.9073798888359549673366166562490e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.817
Order of pole = 587.7
TOP MAIN SOLVE Loop
x[1] = 0.174
y[1] (analytic) = 10.237258019449556819780258204106
y[1] (numeric) = 10.237258019449556819780258204111
absolute error = 5e-30
relative error = 4.8841203284127472569209897012016e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.816
Order of pole = 587.7
TOP MAIN SOLVE Loop
x[1] = 0.175
y[1] (analytic) = 10.237477220642833937947336402013
y[1] (numeric) = 10.237477220642833937947336402018
absolute error = 5e-30
relative error = 4.8840157513786769550969927340965e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.815
Order of pole = 587.7
TOP MAIN SOLVE Loop
memory used=335.7MB, alloc=4.5MB, time=14.36
x[1] = 0.176
y[1] (analytic) = 10.237696524288795548147187685201
y[1] (numeric) = 10.237696524288795548147187685205
absolute error = 4e-30
relative error = 3.9071289039580871411362519106342e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.814
Order of pole = 587.7
TOP MAIN SOLVE Loop
x[1] = 0.177
y[1] (analytic) = 10.237915930389781263204594386306
y[1] (numeric) = 10.23791593038978126320459438631
absolute error = 4e-30
relative error = 3.9070451712995368382296782222930e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.813
Order of pole = 587.7
TOP MAIN SOLVE Loop
x[1] = 0.178
y[1] (analytic) = 10.238135438948131931781453256863
y[1] (numeric) = 10.238135438948131931781453256868
absolute error = 5e-30
relative error = 4.8837017539139929496425025136097e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.811
Order of pole = 587.7
TOP MAIN SOLVE Loop
x[1] = 0.179
y[1] (analytic) = 10.238355049966189638616257033125
y[1] (numeric) = 10.23835504996618963861625703313
absolute error = 5e-30
relative error = 4.8835969993212060153549385584041e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.81
Order of pole = 587.7
TOP MAIN SOLVE Loop
x[1] = 0.18
y[1] (analytic) = 10.23857476344629770476373110609
y[1] (numeric) = 10.238574763446297704763731106095
absolute error = 5e-30
relative error = 4.8834922003509433805901087089862e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.809
Order of pole = 587.6
TOP MAIN SOLVE Loop
x[1] = 0.181
y[1] (analytic) = 10.238794579390800687834625367921
y[1] (numeric) = 10.238794579390800687834625367926
absolute error = 5e-30
relative error = 4.8833873570080899326848703270781e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.808
Order of pole = 587.6
TOP MAIN SOLVE Loop
x[1] = 0.182
y[1] (analytic) = 10.239014497802044382235661306967
y[1] (numeric) = 10.239014497802044382235661306972
absolute error = 5e-30
relative error = 4.8832824692975323100209129428758e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.807
Order of pole = 587.6
TOP MAIN SOLVE Loop
x[1] = 0.183
y[1] (analytic) = 10.239234518682375819409634423681
y[1] (numeric) = 10.239234518682375819409634423686
absolute error = 5e-30
relative error = 4.8831775372241589013982523538953e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.806
Order of pole = 587.6
TOP MAIN SOLVE Loop
x[1] = 0.184
y[1] (analytic) = 10.239454642034143268075672039773
y[1] (numeric) = 10.239454642034143268075672039778
absolute error = 5e-30
relative error = 4.8830725607928598454085413421940e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.805
Order of pole = 587.6
TOP MAIN SOLVE Loop
x[1] = 0.185
y[1] (analytic) = 10.239674867859696234469646573004
y[1] (numeric) = 10.239674867859696234469646573008
absolute error = 4e-30
relative error = 3.9063740320068216238465577063977e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.804
Order of pole = 587.6
TOP MAIN SOLVE Loop
x[1] = 0.186
y[1] (analytic) = 10.239895196161385462584744350081
y[1] (numeric) = 10.239895196161385462584744350085
absolute error = 4e-30
relative error = 3.9062899799008432727130765742183e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.803
Order of pole = 587.6
TOP MAIN SOLVE Loop
memory used=339.5MB, alloc=4.5MB, time=14.52
x[1] = 0.187
y[1] (analytic) = 10.240115626941562934412190030182
y[1] (numeric) = 10.240115626941562934412190030187
absolute error = 5e-30
relative error = 4.8827573654003364128625831648107e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.802
Order of pole = 587.6
TOP MAIN SOLVE Loop
x[1] = 0.188
y[1] (analytic) = 10.240336160202581870182126711681
y[1] (numeric) = 10.240336160202581870182126711686
absolute error = 5e-30
relative error = 4.8826522115862711272095540403768e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.801
Order of pole = 587.6
TOP MAIN SOLVE Loop
x[1] = 0.189
y[1] (analytic) = 10.240556795946796728604651794713
y[1] (numeric) = 10.240556795946796728604651794718
absolute error = 5e-30
relative error = 4.8825470134387571120753470635338e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.8
Order of pole = 587.6
TOP MAIN SOLVE Loop
x[1] = 0.19
y[1] (analytic) = 10.240777534176563207111008672291
y[1] (numeric) = 10.240777534176563207111008672296
absolute error = 5e-30
relative error = 4.8824417709626949916307081177126e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.799
Order of pole = 587.6
TOP MAIN SOLVE Loop
x[1] = 0.191
y[1] (analytic) = 10.240998374894238242094934322718
y[1] (numeric) = 10.240998374894238242094934322723
absolute error = 5e-30
relative error = 4.8823364841629871354460707421576e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.797
Order of pole = 587.6
TOP MAIN SOLVE Loop
x[1] = 0.192
y[1] (analytic) = 10.241219318102180009154162876118
y[1] (numeric) = 10.241219318102180009154162876123
absolute error = 5e-30
relative error = 4.8822311530445376578634042263650e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.796
Order of pole = 587.6
TOP MAIN SOLVE Loop
x[1] = 0.193
y[1] (analytic) = 10.241440363802747923332085227965
y[1] (numeric) = 10.241440363802747923332085227971
absolute error = 6e-30
relative error = 5.8585509331347029008414553167821e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.795
Order of pole = 587.6
TOP MAIN SOLVE Loop
x[1] = 0.194
y[1] (analytic) = 10.241661511998302639359564772544
y[1] (numeric) = 10.24166151199830263935956477255
absolute error = 6e-30
relative error = 5.8584244294452468191512229472075e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.794
Order of pole = 587.6
TOP MAIN SOLVE Loop
x[1] = 0.195
y[1] (analytic) = 10.241882762691206051896909329335
y[1] (numeric) = 10.241882762691206051896909329341
absolute error = 6e-30
relative error = 5.8582978725909681582283995436672e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.793
Order of pole = 587.6
TOP MAIN SOLVE Loop
x[1] = 0.196
y[1] (analytic) = 10.242104115883821295775999335385
y[1] (numeric) = 10.242104115883821295775999335391
absolute error = 6e-30
relative error = 5.8581712625777602226445246319868e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.792
Order of pole = 587.5
TOP MAIN SOLVE Loop
x[1] = 0.197
y[1] (analytic) = 10.242325571578512746242572376776
y[1] (numeric) = 10.242325571578512746242572376781
absolute error = 5e-30
relative error = 4.8817038328429320057706593592914e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.791
Order of pole = 587.5
TOP MAIN SOLVE Loop
memory used=343.3MB, alloc=4.5MB, time=14.69
x[1] = 0.198
y[1] (analytic) = 10.242547129777646019198664132362
y[1] (numeric) = 10.242547129777646019198664132368
absolute error = 6e-30
relative error = 5.8579178830981401947929534118058e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.79
Order of pole = 587.5
TOP MAIN SOLVE Loop
x[1] = 0.199
y[1] (analytic) = 10.242768790483587971445205803023
y[1] (numeric) = 10.242768790483587971445205803028
absolute error = 5e-30
relative error = 4.8814925947029376320133466775461e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.789
Order of pole = 587.5
TOP MAIN SOLVE Loop
x[1] = 0.2
y[1] (analytic) = 10.242990553698706700924778099701
y[1] (numeric) = 10.242990553698706700924778099707
absolute error = 6e-30
relative error = 5.8576642910535749576487066654011e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.788
Order of pole = 587.5
TOP MAIN SOLVE Loop
x[1] = 0.201
y[1] (analytic) = 10.243212419425371546964521863612
y[1] (numeric) = 10.243212419425371546964521863617
absolute error = 5e-30
relative error = 4.8812811794451611160647752231123e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.787
Order of pole = 587.5
TOP MAIN SOLVE Loop
x[1] = 0.202
y[1] (analytic) = 10.243434387665953090519205392003
y[1] (numeric) = 10.243434387665953090519205392008
absolute error = 5e-30
relative error = 4.8811754054094051135548383885758e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.786
Order of pole = 587.5
TOP MAIN SOLVE Loop
x[1] = 0.203
y[1] (analytic) = 10.243656458422823154414448542968
y[1] (numeric) = 10.243656458422823154414448542973
absolute error = 5e-30
relative error = 4.8810695871089677224962395695550e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.785
Order of pole = 587.5
TOP MAIN SOLVE Loop
x[1] = 0.204
y[1] (analytic) = 10.243878631698354803590103692824
y[1] (numeric) = 10.243878631698354803590103692829
absolute error = 5e-30
relative error = 4.8809637245487739454273040370477e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.784
Order of pole = 587.5
TOP MAIN SOLVE Loop
x[1] = 0.205
y[1] (analytic) = 10.244100907494922345343793619662
y[1] (numeric) = 10.244100907494922345343793619667
absolute error = 5e-30
relative error = 4.8808578177337505214753759580526e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.782
Order of pole = 587.5
TOP MAIN SOLVE Loop
x[1] = 0.206
y[1] (analytic) = 10.244323285814901329574606386712
y[1] (numeric) = 10.244323285814901329574606386717
absolute error = 5e-30
relative error = 4.8807518666688259257261258673478e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.781
Order of pole = 587.5
TOP MAIN SOLVE Loop
x[1] = 0.207
y[1] (analytic) = 10.244545766660668549026947299242
y[1] (numeric) = 10.244545766660668549026947299247
absolute error = 5e-30
relative error = 4.8806458713589303685926775906992e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.78
Order of pole = 587.5
TOP MAIN SOLVE Loop
x[1] = 0.208
y[1] (analytic) = 10.244768350034602039534548008764
y[1] (numeric) = 10.244768350034602039534548008769
absolute error = 5e-30
relative error = 4.8805398318089957951845547428271e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.779
Order of pole = 587.5
TOP MAIN SOLVE Loop
x[1] = 0.209
y[1] (analytic) = 10.244991035939081080264632838376
y[1] (numeric) = 10.244991035939081080264632838381
absolute error = 5e-30
relative error = 4.8804337480239558846764469234794e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.778
Order of pole = 587.5
memory used=347.1MB, alloc=4.5MB, time=14.85
TOP MAIN SOLVE Loop
x[1] = 0.21
y[1] (analytic) = 10.245213824376486193962242403138
y[1] (numeric) = 10.245213824376486193962242403142
absolute error = 4e-30
relative error = 3.9042620960069968397414365879710e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.777
Order of pole = 587.5
TOP MAIN SOLVE Loop
x[1] = 0.211
y[1] (analytic) = 10.24543671534919914719471459943
y[1] (numeric) = 10.245436715349199147194714599434
absolute error = 4e-30
relative error = 3.9041771582146427484769605956086e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.776
Order of pole = 587.5
TOP MAIN SOLVE Loop
x[1] = 0.212
y[1] (analytic) = 10.245659708859602950596323037314
y[1] (numeric) = 10.245659708859602950596323037319
absolute error = 5e-30
relative error = 4.8801152313075669200156455148448e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.775
Order of pole = 587.5
TOP MAIN SOLVE Loop
x[1] = 0.213
y[1] (analytic) = 10.245882804910081859113072989967
y[1] (numeric) = 10.245882804910081859113072989972
absolute error = 5e-30
relative error = 4.8800089706314771120545438263604e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.774
Order of pole = 587.5
TOP MAIN SOLVE Loop
x[1] = 0.214
y[1] (analytic) = 10.246106003503021372247654934318
y[1] (numeric) = 10.246106003503021372247654934323
absolute error = 5e-30
relative error = 4.8799026657449763517386062143083e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.773
Order of pole = 587.5
TOP MAIN SOLVE Loop
x[1] = 0.215
y[1] (analytic) = 10.246329304640808234304555757093
y[1] (numeric) = 10.246329304640808234304555757097
absolute error = 4e-30
relative error = 3.9038370533224069674940215555255e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.772
Order of pole = 587.4
TOP MAIN SOLVE Loop
x[1] = 0.216
y[1] (analytic) = 10.246552708325830434635327700513
y[1] (numeric) = 10.246552708325830434635327700517
absolute error = 4e-30
relative error = 3.9037519386884159879059932402495e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.771
Order of pole = 587.4
TOP MAIN SOLVE Loop
x[1] = 0.217
y[1] (analytic) = 10.246776214560477207884015121971
y[1] (numeric) = 10.246776214560477207884015121975
absolute error = 4e-30
relative error = 3.9036667886979661657868040451063e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.77
Order of pole = 587.4
TOP MAIN SOLVE Loop
x[1] = 0.218
y[1] (analytic) = 10.246999823347139034232739142051
y[1] (numeric) = 10.246999823347139034232739142056
absolute error = 5e-30
relative error = 4.8794770041937711337465410092064e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.769
Order of pole = 587.4
TOP MAIN SOLVE Loop
x[1] = 0.219
y[1] (analytic) = 10.247223534688207639647440255342
y[1] (numeric) = 10.247223534688207639647440255347
absolute error = 5e-30
relative error = 4.8793704783294112494905114413336e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.768
Order of pole = 587.4
TOP MAIN SOLVE Loop
x[1] = 0.22
y[1] (analytic) = 10.247447348586075996123778978526
y[1] (numeric) = 10.247447348586075996123778978531
absolute error = 5e-30
relative error = 4.8792639082843307666440578907202e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.766
Order of pole = 587.4
TOP MAIN SOLVE Loop
memory used=350.9MB, alloc=4.5MB, time=15.01
x[1] = 0.221
y[1] (analytic) = 10.247671265043138321933194610315
y[1] (numeric) = 10.24767126504313832193319461032
absolute error = 5e-30
relative error = 4.8791572940634841238621635993499e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.765
Order of pole = 587.4
TOP MAIN SOLVE Loop
x[1] = 0.222
y[1] (analytic) = 10.247895284061790081869122177848
y[1] (numeric) = 10.247895284061790081869122177853
absolute error = 5e-30
relative error = 4.8790506356718274856425870145472e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.764
Order of pole = 587.4
TOP MAIN SOLVE Loop
x[1] = 0.223
y[1] (analytic) = 10.248119405644427987493367644227
y[1] (numeric) = 10.248119405644427987493367644231
absolute error = 4e-30
relative error = 3.9031551464914549933536933731946e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.763
Order of pole = 587.4
TOP MAIN SOLVE Loop
x[1] = 0.224
y[1] (analytic) = 10.248343629793449997382641451928
y[1] (numeric) = 10.248343629793449997382641451932
absolute error = 4e-30
relative error = 3.9030697491167340050341183163773e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.762
Order of pole = 587.4
TOP MAIN SOLVE Loop
x[1] = 0.225
y[1] (analytic) = 10.248567956511255317375250476907
y[1] (numeric) = 10.248567956511255317375250476911
absolute error = 4e-30
relative error = 3.9029843164172680941336644018994e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.761
Order of pole = 587.4
TOP MAIN SOLVE Loop
x[1] = 0.226
y[1] (analytic) = 10.248792385800244400817948468237
y[1] (numeric) = 10.248792385800244400817948468242
absolute error = 5e-30
relative error = 4.8786235604962846373450391960248e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.76
Order of pole = 587.4
TOP MAIN SOLVE Loop
x[1] = 0.227
y[1] (analytic) = 10.24901691766281894881294504822
y[1] (numeric) = 10.249016917662818948812945048225
absolute error = 5e-30
relative error = 4.8785166813249808495284152108746e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.759
Order of pole = 587.4
TOP MAIN SOLVE Loop
x[1] = 0.228
y[1] (analytic) = 10.249241552101381910465073347944
y[1] (numeric) = 10.249241552101381910465073347949
absolute error = 5e-30
relative error = 4.8784097580126402604567302686448e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.758
Order of pole = 587.4
TOP MAIN SOLVE Loop
x[1] = 0.229
y[1] (analytic) = 10.249466289118337483129116353341
y[1] (numeric) = 10.249466289118337483129116353346
absolute error = 5e-30
relative error = 4.8783027905642310977723226574972e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.757
Order of pole = 587.4
TOP MAIN SOLVE Loop
x[1] = 0.23
y[1] (analytic) = 10.249691128716091112657292036848
y[1] (numeric) = 10.249691128716091112657292036853
absolute error = 5e-30
relative error = 4.8781957789847233098853556023273e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.756
Order of pole = 587.4
TOP MAIN SOLVE Loop
x[1] = 0.231
y[1] (analytic) = 10.249916070897049493646897349832
y[1] (numeric) = 10.249916070897049493646897349837
absolute error = 5e-30
relative error = 4.8780887232790885653386480497909e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.755
Order of pole = 587.4
TOP MAIN SOLVE Loop
memory used=354.7MB, alloc=4.5MB, time=15.18
x[1] = 0.232
y[1] (analytic) = 10.250141115663620569688111151017
y[1] (numeric) = 10.250141115663620569688111151022
absolute error = 5e-30
relative error = 4.8779816234523002521723279916758e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.754
Order of pole = 587.4
TOP MAIN SOLVE Loop
x[1] = 0.233
y[1] (analytic) = 10.250366263018213533611956146202
y[1] (numeric) = 10.250366263018213533611956146207
absolute error = 5e-30
relative error = 4.8778744795093334772883084502486e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.753
Order of pole = 587.4
TOP MAIN SOLVE Loop
x[1] = 0.234
y[1] (analytic) = 10.250591512963238827738419914609
y[1] (numeric) = 10.250591512963238827738419914614
absolute error = 5e-30
relative error = 4.8777672914551650658145862492227e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.752
Order of pole = 587.4
TOP MAIN SOLVE Loop
x[1] = 0.235
y[1] (analytic) = 10.250816865501108144124735097293
y[1] (numeric) = 10.250816865501108144124735097298
absolute error = 5e-30
relative error = 4.8776600592947735604693636939884e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.751
Order of pole = 587.3
TOP MAIN SOLVE Loop
x[1] = 0.236
y[1] (analytic) = 10.251042320634234424813818823067
y[1] (numeric) = 10.251042320634234424813818823072
absolute error = 5e-30
relative error = 4.8775527830331392209249932847775e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.749
Order of pole = 587.3
TOP MAIN SOLVE Loop
x[1] = 0.237
y[1] (analytic) = 10.251267878365031862082871447496
y[1] (numeric) = 10.251267878365031862082871447501
absolute error = 5e-30
relative error = 4.8774454626752440231717455864285e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.748
Order of pole = 587.3
TOP MAIN SOLVE Loop
x[1] = 0.238
y[1] (analytic) = 10.251493538695915898692134680541
y[1] (numeric) = 10.251493538695915898692134680546
absolute error = 5e-30
relative error = 4.8773380982260716588814003784422e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.747
Order of pole = 587.3
TOP MAIN SOLVE Loop
x[1] = 0.239
y[1] (analytic) = 10.25171930162930322813380917852
y[1] (numeric) = 10.251719301629303228133809178524
absolute error = 4e-30
relative error = 3.9017845517524860278165289672164e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.746
Order of pole = 587.3
TOP MAIN SOLVE Loop
x[1] = 0.24
y[1] (analytic) = 10.251945167167611794881131676104
y[1] (numeric) = 10.251945167167611794881131676108
absolute error = 4e-30
relative error = 3.9016985896590710175715147814361e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.745
Order of pole = 587.3
TOP MAIN SOLVE Loop
x[1] = 0.241
y[1] (analytic) = 10.25217113531326079463761173413
y[1] (numeric) = 10.252171135313260794637611734134
absolute error = 4e-30
relative error = 3.9016125923046033642869489311705e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.744
Order of pole = 587.3
TOP MAIN SOLVE Loop
x[1] = 0.242
y[1] (analytic) = 10.25239720606867067458642817907
y[1] (numeric) = 10.252397206068670674586428179074
absolute error = 4e-30
relative error = 3.9015265596930755063869898756485e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.743
Order of pole = 587.3
TOP MAIN SOLVE Loop
memory used=358.5MB, alloc=4.5MB, time=15.34
x[1] = 0.243
y[1] (analytic) = 10.252623379436263133639985310063
y[1] (numeric) = 10.252623379436263133639985310067
absolute error = 4e-30
relative error = 3.9014404918284812522932508732883e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.742
Order of pole = 587.3
TOP MAIN SOLVE Loop
x[1] = 0.244
y[1] (analytic) = 10.25284965541846112268962894948
y[1] (numeric) = 10.252849655418461122689628949484
absolute error = 4e-30
relative error = 3.9013543887148157799148267255144e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.741
Order of pole = 587.3
TOP MAIN SOLVE Loop
x[1] = 0.245
y[1] (analytic) = 10.253076034017688844855522413043
y[1] (numeric) = 10.253076034017688844855522413048
absolute error = 5e-30
relative error = 4.8765853129450945451727247971059e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.74
Order of pole = 587.3
TOP MAIN SOLVE Loop
x[1] = 0.246
y[1] (analytic) = 10.253302515236371755736682475598
y[1] (numeric) = 10.253302515236371755736682475602
absolute error = 4e-30
relative error = 3.9011820767562587363168856961400e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.739
Order of pole = 587.3
TOP MAIN SOLVE Loop
x[1] = 0.247
y[1] (analytic) = 10.253529099076936563661175408674
y[1] (numeric) = 10.253529099076936563661175408679
absolute error = 5e-30
relative error = 4.8763698348992054547015473255107e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.738
Order of pole = 587.3
TOP MAIN SOLVE Loop
x[1] = 0.248
y[1] (analytic) = 10.253755785541811229936473166078
y[1] (numeric) = 10.253755785541811229936473166082
absolute error = 4e-30
relative error = 3.9010096238493931692277125695879e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.737
Order of pole = 587.3
TOP MAIN SOLVE Loop
x[1] = 0.249
y[1] (analytic) = 10.253982574633424969099969793754
y[1] (numeric) = 10.253982574633424969099969793758
absolute error = 4e-30
relative error = 3.9009233445503471704082930619617e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.736
Order of pole = 587.3
TOP MAIN SOLVE Loop
x[1] = 0.25
y[1] (analytic) = 10.254209466354208249169658140291
y[1] (numeric) = 10.254209466354208249169658140295
absolute error = 4e-30
relative error = 3.9008370300262297514196537068853e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.735
Order of pole = 587.3
TOP MAIN SOLVE Loop
x[1] = 0.251
y[1] (analytic) = 10.254436460706592791894966944444
y[1] (numeric) = 10.254436460706592791894966944448
absolute error = 4e-30
relative error = 3.9007506802810456622922040480139e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.734
Order of pole = 587.3
TOP MAIN SOLVE Loop
x[1] = 0.252
y[1] (analytic) = 10.254663557693011573007758376153
y[1] (numeric) = 10.254663557693011573007758376157
absolute error = 4e-30
relative error = 3.9006642953188010184589928569291e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.733
Order of pole = 587.3
TOP MAIN SOLVE Loop
x[1] = 0.253
y[1] (analytic) = 10.25489075731589882247348610757
y[1] (numeric) = 10.254890757315898822473486107575
absolute error = 5e-30
relative error = 4.8757223439293791253055903703086e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.732
Order of pole = 587.3
TOP MAIN SOLVE Loop
x[1] = 0.254
y[1] (analytic) = 10.255118059577690024742513990692
y[1] (numeric) = 10.255118059577690024742513990696
absolute error = 4e-30
relative error = 3.9004914197591613523531222912852e-29 %
Correct digits = 30
memory used=362.4MB, alloc=4.5MB, time=15.51
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.73
Order of pole = 587.3
TOP MAIN SOLVE Loop
x[1] = 0.255
y[1] (analytic) = 10.255345464480821919001595418233
y[1] (numeric) = 10.255345464480821919001595418238
absolute error = 5e-30
relative error = 4.8755061614622317291974190117365e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.729
Order of pole = 587.3
TOP MAIN SOLVE Loop
x[1] = 0.256
y[1] (analytic) = 10.255572972027732499425513444473
y[1] (numeric) = 10.255572972027732499425513444478
absolute error = 5e-30
relative error = 4.8753980042242337064859511825045e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.728
Order of pole = 587.3
TOP MAIN SOLVE Loop
x[1] = 0.257
y[1] (analytic) = 10.255800582220861015428881742822
y[1] (numeric) = 10.255800582220861015428881742827
absolute error = 5e-30
relative error = 4.8752898029899737907756406457667e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.727
Order of pole = 587.3
TOP MAIN SOLVE Loop
x[1] = 0.258
y[1] (analytic) = 10.256028295062647971918106476967
y[1] (numeric) = 10.256028295062647971918106476971
absolute error = 4e-30
relative error = 3.9001452462115758827612322536571e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.726
Order of pole = 587.2
TOP MAIN SOLVE Loop
x[1] = 0.259
y[1] (analytic) = 10.256256110555535129543509162479
y[1] (numeric) = 10.256256110555535129543509162483
absolute error = 4e-30
relative error = 3.9000586148421931745400187075445e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.725
Order of pole = 587.2
TOP MAIN SOLVE Loop
x[1] = 0.26
y[1] (analytic) = 10.256484028701965504951610595856
y[1] (numeric) = 10.256484028701965504951610595861
absolute error = 5e-30
relative error = 4.8749649353598099102435179386307e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.724
Order of pole = 587.2
TOP MAIN SOLVE Loop
x[1] = 0.261
y[1] (analytic) = 10.256712049504383371037575928014
y[1] (numeric) = 10.256712049504383371037575928019
absolute error = 5e-30
relative error = 4.8748565581906981559500677315104e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.723
Order of pole = 587.2
TOP MAIN SOLVE Loop
x[1] = 0.262
y[1] (analytic) = 10.256940172965234257197820959313
y[1] (numeric) = 10.256940172965234257197820959318
absolute error = 5e-30
relative error = 4.8747481370504308819427191861422e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.722
Order of pole = 587.2
TOP MAIN SOLVE Loop
x[1] = 0.263
y[1] (analytic) = 10.25716839908696494958277973328
y[1] (numeric) = 10.257168399086964949582779733285
absolute error = 5e-30
relative error = 4.8746396719440344645837347828535e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.721
Order of pole = 587.2
TOP MAIN SOLVE Loop
x[1] = 0.264
y[1] (analytic) = 10.257396727872023491349833506223
y[1] (numeric) = 10.257396727872023491349833506228
absolute error = 5e-30
relative error = 4.8745311628765369793086329450510e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.72
Order of pole = 587.2
TOP MAIN SOLVE Loop
x[1] = 0.265
y[1] (analytic) = 10.257625159322859182916401170018
y[1] (numeric) = 10.257625159322859182916401170024
absolute error = 6e-30
relative error = 5.8493071318235618399820654585707e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.719
Order of pole = 587.2
TOP MAIN SOLVE Loop
memory used=366.2MB, alloc=4.5MB, time=15.67
x[1] = 0.266
y[1] (analytic) = 10.257853693441922582213191205415
y[1] (numeric) = 10.25785369344192258221319120542
absolute error = 5e-30
relative error = 4.8743140128783595982714561801881e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.718
Order of pole = 587.2
TOP MAIN SOLVE Loop
x[1] = 0.267
y[1] (analytic) = 10.258082330231665504937615243238
y[1] (numeric) = 10.258082330231665504937615243243
absolute error = 5e-30
relative error = 4.8742053719577443429756302642836e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.717
Order of pole = 587.2
TOP MAIN SOLVE Loop
x[1] = 0.268
y[1] (analytic) = 10.258311069694541024807363310976
y[1] (numeric) = 10.258311069694541024807363310981
absolute error = 5e-30
relative error = 4.8740966870961572994130521899744e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.716
Order of pole = 587.2
TOP MAIN SOLVE Loop
x[1] = 0.269
y[1] (analytic) = 10.258539911833003473814140842261
y[1] (numeric) = 10.258539911833003473814140842265
absolute error = 4e-30
relative error = 3.8991903666389080230120436435150e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.715
Order of pole = 587.2
TOP MAIN SOLVE Loop
x[1] = 0.27
y[1] (analytic) = 10.258768856649508442477567526832
y[1] (numeric) = 10.258768856649508442477567526837
absolute error = 5e-30
relative error = 4.8738791855702157874368286511248e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.714
Order of pole = 587.2
TOP MAIN SOLVE Loop
x[1] = 0.271
y[1] (analytic) = 10.258997904146512780099238078652
y[1] (numeric) = 10.258997904146512780099238078656
absolute error = 4e-30
relative error = 3.8990162951327516211322026609098e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.713
Order of pole = 587.2
TOP MAIN SOLVE Loop
x[1] = 0.272
y[1] (analytic) = 10.259227054326474595016944999859
y[1] (numeric) = 10.259227054326474595016944999863
absolute error = 4e-30
relative error = 3.8989292066726783125012410604070e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.712
Order of pole = 587.2
TOP MAIN SOLVE Loop
x[1] = 0.273
y[1] (analytic) = 10.25945630719185325485906341837
y[1] (numeric) = 10.259456307191853254859063418374
absolute error = 4e-30
relative error = 3.8988420830799873746350186071631e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.711
Order of pole = 587.2
TOP MAIN SOLVE Loop
x[1] = 0.274
y[1] (analytic) = 10.259685662745109386799098076943
y[1] (numeric) = 10.259685662745109386799098076947
absolute error = 4e-30
relative error = 3.8987549243587148322352874425791e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.71
Order of pole = 587.2
TOP MAIN SOLVE Loop
x[1] = 0.275
y[1] (analytic) = 10.259915120988704877810392551626
y[1] (numeric) = 10.25991512098870487781039255163
absolute error = 4e-30
relative error = 3.8986677305128980636128230155407e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.708
Order of pole = 587.2
TOP MAIN SOLVE Loop
x[1] = 0.276
y[1] (analytic) = 10.260144681925102874921000777548
y[1] (numeric) = 10.260144681925102874921000777552
absolute error = 4e-30
relative error = 3.8985805015465758001729981266668e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.707
Order of pole = 587.2
TOP MAIN SOLVE Loop
memory used=370.0MB, alloc=4.5MB, time=15.83
x[1] = 0.277
y[1] (analytic) = 10.260374345556767785468720960091
y[1] (numeric) = 10.260374345556767785468720960094
absolute error = 3e-30
relative error = 2.9238699280978410944259145966565e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.706
Order of pole = 587.2
TOP MAIN SOLVE Loop
x[1] = 0.278
y[1] (analytic) = 10.260604111886165277356291949528
y[1] (numeric) = 10.260604111886165277356291949531
absolute error = 3e-30
relative error = 2.9238044537014323576361700376543e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.705
Order of pole = 587.2
TOP MAIN SOLVE Loop
x[1] = 0.279
y[1] (analytic) = 10.260833980915762279306752157301
y[1] (numeric) = 10.260833980915762279306752157303
absolute error = 2e-30
relative error = 1.9491593019824918203076272024167e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.704
Order of pole = 587.2
TOP MAIN SOLVE Loop
x[1] = 0.28
y[1] (analytic) = 10.261063952648026981118961092138
y[1] (numeric) = 10.26106395264802698111896109214
absolute error = 2e-30
relative error = 1.9491156172785268779195282291171e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.703
Order of pole = 587.2
TOP MAIN SOLVE Loop
x[1] = 0.281
y[1] (analytic) = 10.261294027085428833923283594318
y[1] (numeric) = 10.261294027085428833923283594321
absolute error = 3e-30
relative error = 2.9236078725366242337575952843339e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.702
Order of pole = 587.2
TOP MAIN SOLVE Loop
x[1] = 0.282
y[1] (analytic) = 10.261524204230438550437436846417
y[1] (numeric) = 10.26152420423043855043743684642
absolute error = 3e-30
relative error = 2.9235422928332746104680882830443e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.701
Order of pole = 587.2
TOP MAIN SOLVE Loop
x[1] = 0.283
y[1] (analytic) = 10.26175448408552810522250023895
y[1] (numeric) = 10.261754484085528105222500238953
absolute error = 3e-30
relative error = 2.9234766868107775884998381956903e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.7
Order of pole = 587.1
TOP MAIN SOLVE Loop
x[1] = 0.284
y[1] (analytic) = 10.26198486665317073493908816939
y[1] (numeric) = 10.261984866653170734939088169392
absolute error = 2e-30
relative error = 1.9489407029814468807150650884159e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.699
Order of pole = 587.1
TOP MAIN SOLVE Loop
x[1] = 0.285
y[1] (analytic) = 10.262215351935840938603685853098
y[1] (numeric) = 10.262215351935840938603685853101
absolute error = 3e-30
relative error = 2.9233453958204909727500599776943e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.698
Order of pole = 587.1
TOP MAIN SOLVE Loop
x[1] = 0.286
y[1] (analytic) = 10.262445939936014477845148224778
y[1] (numeric) = 10.262445939936014477845148224781
absolute error = 3e-30
relative error = 2.9232797108587787190530119447643e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.697
Order of pole = 587.1
TOP MAIN SOLVE Loop
x[1] = 0.287
y[1] (analytic) = 10.262676630656168377161362009105
y[1] (numeric) = 10.262676630656168377161362009108
absolute error = 3e-30
relative error = 2.9232139995900737460723837462188e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.696
Order of pole = 587.1
TOP MAIN SOLVE Loop
memory used=373.8MB, alloc=4.5MB, time=16.00
x[1] = 0.288
y[1] (analytic) = 10.262907424098780924176071039278
y[1] (numeric) = 10.262907424098780924176071039281
absolute error = 3e-30
relative error = 2.9231482620174172500821969479636e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.695
Order of pole = 587.1
TOP MAIN SOLVE Loop
x[1] = 0.289
y[1] (analytic) = 10.263138320266331669895864902285
y[1] (numeric) = 10.263138320266331669895864902288
absolute error = 3e-30
relative error = 2.9230824981438514371524100854255e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.694
Order of pole = 587.1
TOP MAIN SOLVE Loop
x[1] = 0.29
y[1] (analytic) = 10.263369319161301428967330989731
y[1] (numeric) = 10.263369319161301428967330989734
absolute error = 3e-30
relative error = 2.9230167079724195227616621150687e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.693
Order of pole = 587.1
TOP MAIN SOLVE Loop
x[1] = 0.291
y[1] (analytic) = 10.263600420786172279934370033171
y[1] (numeric) = 10.263600420786172279934370033174
absolute error = 3e-30
relative error = 2.9229508915061657314099137759430e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.692
Order of pole = 587.1
TOP MAIN SOLVE Loop
x[1] = 0.292
y[1] (analytic) = 10.263831625143427565495675202916
y[1] (numeric) = 10.263831625143427565495675202919
absolute error = 3e-30
relative error = 2.9228850487481352962309869357909e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.691
Order of pole = 587.1
TOP MAIN SOLVE Loop
x[1] = 0.293
y[1] (analytic) = 10.264062932235551892762374849376
y[1] (numeric) = 10.26406293223555189276237484938
absolute error = 4e-30
relative error = 3.8970922396018326114733359949872e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.69
Order of pole = 587.1
TOP MAIN SOLVE Loop
x[1] = 0.294
y[1] (analytic) = 10.264294342065031133515838966056
y[1] (numeric) = 10.26429434206503113351583896606
absolute error = 4e-30
relative error = 3.8970043791585739570276179088210e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.689
Order of pole = 587.1
TOP MAIN SOLVE Loop
x[1] = 0.295
y[1] (analytic) = 10.264525854634352424465649453373
y[1] (numeric) = 10.264525854634352424465649453376
absolute error = 3e-30
relative error = 2.9226873627538515804377435359097e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.688
Order of pole = 587.1
TOP MAIN SOLVE Loop
x[1] = 0.296
y[1] (analytic) = 10.264757469946004167507734262552
y[1] (numeric) = 10.264757469946004167507734262555
absolute error = 3e-30
relative error = 2.9226214148591870603987144524552e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.687
Order of pole = 587.1
TOP MAIN SOLVE Loop
x[1] = 0.297
y[1] (analytic) = 10.264989188002476029982665498905
y[1] (numeric) = 10.264989188002476029982665498908
absolute error = 3e-30
relative error = 2.9225554406879871781412785608473e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.685
Order of pole = 587.1
TOP MAIN SOLVE Loop
x[1] = 0.298
y[1] (analytic) = 10.265221008806258944934121563864
y[1] (numeric) = 10.265221008806258944934121563867
absolute error = 3e-30
relative error = 2.9224894402433032104600472956682e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.684
Order of pole = 587.1
TOP MAIN SOLVE Loop
memory used=377.6MB, alloc=4.5MB, time=16.16
x[1] = 0.299
y[1] (analytic) = 10.265452932359845111367513415206
y[1] (numeric) = 10.265452932359845111367513415209
absolute error = 3e-30
relative error = 2.9224234135281874400684184715734e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.683
Order of pole = 587.1
TOP MAIN SOLVE Loop
x[1] = 0.3
y[1] (analytic) = 10.265684958665727994508775024974
y[1] (numeric) = 10.265684958665727994508775024977
absolute error = 3e-30
relative error = 2.9223573605456931552103021893016e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.682
Order of pole = 587.1
TOP MAIN SOLVE Loop
x[1] = 0.301
y[1] (analytic) = 10.265917087726402326063318114661
y[1] (numeric) = 10.265917087726402326063318114664
absolute error = 3e-30
relative error = 2.9222912812988746492717453971742e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.681
Order of pole = 587.1
TOP MAIN SOLVE Loop
x[1] = 0.302
y[1] (analytic) = 10.266149319544364104475151247285
y[1] (numeric) = 10.266149319544364104475151247288
absolute error = 3e-30
relative error = 2.9222251757907872203924551826589e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.68
Order of pole = 587.1
TOP MAIN SOLVE Loop
x[1] = 0.303
y[1] (analytic) = 10.266381654122110595186163356055
y[1] (numeric) = 10.266381654122110595186163356058
absolute error = 3e-30
relative error = 2.9221590440244871710772208685714e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.679
Order of pole = 587.1
TOP MAIN SOLVE Loop
x[1] = 0.304
y[1] (analytic) = 10.266614091462140330895571789383
y[1] (numeric) = 10.266614091462140330895571789386
absolute error = 3e-30
relative error = 2.9220928860030318078072349884996e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.678
Order of pole = 587.1
TOP MAIN SOLVE Loop
x[1] = 0.305
y[1] (analytic) = 10.266846631566953111819534952073
y[1] (numeric) = 10.266846631566953111819534952076
absolute error = 3e-30
relative error = 2.9220267017294794406513132160330e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.677
Order of pole = 587.1
TOP MAIN SOLVE Loop
x[1] = 0.306
y[1] (analytic) = 10.267079274439050005950929622577
y[1] (numeric) = 10.26707927443905000595092962258
absolute error = 3e-30
relative error = 2.9219604912068893828770133223893e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.676
Order of pole = 587.1
TOP MAIN SOLVE Loop
x[1] = 0.307
y[1] (analytic) = 10.267312020080933349319293026266
y[1] (numeric) = 10.267312020080933349319293026269
absolute error = 3e-30
relative error = 2.9218942544383219505616532370341e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.675
Order of pole = 587.1
TOP MAIN SOLVE Loop
x[1] = 0.308
y[1] (analytic) = 10.267544868495106746250929744743
y[1] (numeric) = 10.267544868495106746250929744746
absolute error = 3e-30
relative error = 2.9218279914268384622032282858916e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.674
Order of pole = 587.1
TOP MAIN SOLVE Loop
x[1] = 0.309
y[1] (analytic) = 10.267777819684075069629183541282
y[1] (numeric) = 10.267777819684075069629183541285
absolute error = 3e-30
relative error = 2.9217617021755012383312276817510e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.673
Order of pole = 587.1
TOP MAIN SOLVE Loop
x[1] = 0.31
y[1] (analytic) = 10.26801087365034446115487418254
y[1] (numeric) = 10.268010873650344461154874182543
absolute error = 3e-30
relative error = 2.9216953866873736011173503414766e-29 %
Correct digits = 30
h = 0.001
memory used=381.4MB, alloc=4.5MB, time=16.33
Real estimate of pole used for equation 1
Radius of convergence = 7.672
Order of pole = 587.1
TOP MAIN SOLVE Loop
x[1] = 0.311
y[1] (analytic) = 10.268244030396422331606899336758
y[1] (numeric) = 10.268244030396422331606899336761
absolute error = 3e-30
relative error = 2.9216290449655198739861201046354e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.671
Order of pole = 587.1
TOP MAIN SOLVE Loop
x[1] = 0.312
y[1] (analytic) = 10.26847728992481736110300162873
y[1] (numeric) = 10.268477289924817361103001628733
absolute error = 3e-30
relative error = 2.9215626770130053812254004281595e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.67
Order of pole = 587
TOP MAIN SOLVE Loop
x[1] = 0.313
y[1] (analytic) = 10.26871065223803949936070093189
y[1] (numeric) = 10.268710652238039499360700931894
absolute error = 4e-30
relative error = 3.8953283771105285967957448422174e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.669
Order of pole = 587
TOP MAIN SOLVE Loop
x[1] = 0.314
y[1] (analytic) = 10.268944117338599965958391977925
y[1] (numeric) = 10.268944117338599965958391977929
absolute error = 4e-30
relative error = 3.8952398165710138639280396907202e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.668
Order of pole = 587
TOP MAIN SOLVE Loop
x[1] = 0.315
y[1] (analytic) = 10.26917768522901125059660736438
y[1] (numeric) = 10.269177685229011250596607364384
absolute error = 4e-30
relative error = 3.8951512210695540757507069253039e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.667
Order of pole = 587
TOP MAIN SOLVE Loop
x[1] = 0.316
y[1] (analytic) = 10.269411355911787113359446040814
y[1] (numeric) = 10.269411355911787113359446040818
absolute error = 4e-30
relative error = 3.8950625906102416640562278866840e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.666
Order of pole = 587
TOP MAIN SOLVE Loop
x[1] = 0.317
y[1] (analytic) = 10.269645129389442584976167354101
y[1] (numeric) = 10.269645129389442584976167354105
absolute error = 4e-30
relative error = 3.8949739251971703925229610396984e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.665
Order of pole = 587
TOP MAIN SOLVE Loop
x[1] = 0.318
y[1] (analytic) = 10.269879005664493967082950733549
y[1] (numeric) = 10.269879005664493967082950733552
absolute error = 3e-30
relative error = 2.9211639186258265171462695980517e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.664
Order of pole = 587
TOP MAIN SOLVE Loop
x[1] = 0.319
y[1] (analytic) = 10.270112984739458832484821096574
y[1] (numeric) = 10.270112984739458832484821096578
absolute error = 4e-30
relative error = 3.8947964895261329809620550097968e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.663
Order of pole = 587
TOP MAIN SOLVE Loop
x[1] = 0.32
y[1] (analytic) = 10.270347066616856025417740055745
y[1] (numeric) = 10.270347066616856025417740055748
absolute error = 3e-30
relative error = 2.9210307894572707672791069125421e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.662
Order of pole = 587
TOP MAIN SOLVE Loop
x[1] = 0.321
y[1] (analytic) = 10.270581251299205661810863008039
y[1] (numeric) = 10.270581251299205661810863008042
absolute error = 3e-30
relative error = 2.9209641855669139263334983233519e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.661
Order of pole = 587
TOP MAIN SOLVE Loop
memory used=385.3MB, alloc=4.5MB, time=16.49
x[1] = 0.322
y[1] (analytic) = 10.270815538789029129548962187276
y[1] (numeric) = 10.270815538789029129548962187279
absolute error = 3e-30
relative error = 2.9208975554766045243622214142233e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.66
Order of pole = 587
TOP MAIN SOLVE Loop
x[1] = 0.323
y[1] (analytic) = 10.271049929088849088735015760701
y[1] (numeric) = 10.271049929088849088735015760705
absolute error = 4e-30
relative error = 3.8944411989192251592202268417780e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.659
Order of pole = 587
TOP MAIN SOLVE Loop
x[1] = 0.324
y[1] (analytic) = 10.271284422201189471952963050806
y[1] (numeric) = 10.27128442220118947195296305081
absolute error = 4e-30
relative error = 3.8943522889445790209652542284812e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.657
Order of pole = 587
TOP MAIN SOLVE Loop
x[1] = 0.325
y[1] (analytic) = 10.271519018128575484530625963497
y[1] (numeric) = 10.271519018128575484530625963501
absolute error = 4e-30
relative error = 3.8942633440489720177480615422708e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.656
Order of pole = 587
TOP MAIN SOLVE Loop
x[1] = 0.326
y[1] (analytic) = 10.271753716873533604802796703829
y[1] (numeric) = 10.271753716873533604802796703833
absolute error = 4e-30
relative error = 3.8941743642365098767987091090798e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.655
Order of pole = 587
TOP MAIN SOLVE Loop
x[1] = 0.327
y[1] (analytic) = 10.271988518438591584374491860547
y[1] (numeric) = 10.271988518438591584374491860551
absolute error = 4e-30
relative error = 3.8940853495112996520259878070915e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.654
Order of pole = 587
TOP MAIN SOLVE Loop
x[1] = 0.328
y[1] (analytic) = 10.272223422826278448384372940784
y[1] (numeric) = 10.272223422826278448384372940788
absolute error = 4e-30
relative error = 3.8939962998774497234959743502244e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.653
Order of pole = 587
TOP MAIN SOLVE Loop
x[1] = 0.329
y[1] (analytic) = 10.272458430039124495768333436294
y[1] (numeric) = 10.272458430039124495768333436298
absolute error = 4e-30
relative error = 3.8939072153390697969104542318459e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.652
Order of pole = 587
TOP MAIN SOLVE Loop
x[1] = 0.33
y[1] (analytic) = 10.27269354007966129952325250269
y[1] (numeric) = 10.272693540079661299523252502694
absolute error = 4e-30
relative error = 3.8938180959002709030852124282984e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.651
Order of pole = 587
TOP MAIN SOLVE Loop
x[1] = 0.331
y[1] (analytic) = 10.272928752950421706970915333209
y[1] (numeric) = 10.272928752950421706970915333214
absolute error = 5e-30
relative error = 4.8671611769564567467852399522900e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.65
Order of pole = 587
TOP MAIN SOLVE Loop
x[1] = 0.332
y[1] (analytic) = 10.273164068653939840022100308607
y[1] (numeric) = 10.273164068653939840022100308611
absolute error = 4e-30
relative error = 3.8936397523378669594175204225392e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.649
Order of pole = 587
TOP MAIN SOLVE Loop
memory used=389.1MB, alloc=4.5MB, time=16.65
x[1] = 0.333
y[1] (analytic) = 10.27339948719275109544083300482
y[1] (numeric) = 10.273399487192751095440833004824
absolute error = 4e-30
relative error = 3.8935505282224905920794045489039e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.648
Order of pole = 587
TOP MAIN SOLVE Loop
x[1] = 0.334
y[1] (analytic) = 10.273635008569392145108807140151
y[1] (numeric) = 10.273635008569392145108807140155
absolute error = 4e-30
relative error = 3.8934612692231526214658929665577e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.647
Order of pole = 587
TOP MAIN SOLVE Loop
x[1] = 0.335
y[1] (analytic) = 10.273870632786400936289972543742
y[1] (numeric) = 10.273870632786400936289972543746
absolute error = 4e-30
relative error = 3.8933719753439706961325071848715e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.646
Order of pole = 587
TOP MAIN SOLVE Loop
x[1] = 0.336
y[1] (analytic) = 10.27410635984631669189529022721
y[1] (numeric) = 10.274106359846316691895290227213
absolute error = 3e-30
relative error = 2.9199619849417978399618057132427e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.645
Order of pole = 587
TOP MAIN SOLVE Loop
x[1] = 0.337
y[1] (analytic) = 10.274342189751679910747654641359
y[1] (numeric) = 10.274342189751679910747654641362
absolute error = 3e-30
relative error = 2.9198949622219141386828210457047e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.644
Order of pole = 587
TOP MAIN SOLVE Loop
x[1] = 0.338
y[1] (analytic) = 10.274578122505032367846983199973
y[1] (numeric) = 10.274578122505032367846983199976
absolute error = 3e-30
relative error = 2.9198279133514181279602340455696e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.643
Order of pole = 587
TOP MAIN SOLVE Loop
x[1] = 0.339
y[1] (analytic) = 10.27481415810891711463547315273
y[1] (numeric) = 10.274814158108917114635473152734
absolute error = 4e-30
relative error = 3.8930144511112026770684846039698e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.642
Order of pole = 587
TOP MAIN SOLVE Loop
x[1] = 0.34
y[1] (analytic) = 10.27505029656587847926302588938
y[1] (numeric) = 10.275050296565878479263025889383
absolute error = 3e-30
relative error = 2.9196937371709589681307694237496e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.641
Order of pole = 587
TOP MAIN SOLVE Loop
x[1] = 0.341
y[1] (analytic) = 10.275286537878462066852838757355
y[1] (numeric) = 10.275286537878462066852838757358
absolute error = 3e-30
relative error = 2.9196266098671831883978855061704e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.64
Order of pole = 587
TOP MAIN SOLVE Loop
x[1] = 0.342
y[1] (analytic) = 10.275522882049214759767164475096
y[1] (numeric) = 10.275522882049214759767164475099
absolute error = 3e-30
relative error = 2.9195594564251698371845523342029e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.639
Order of pole = 587
TOP MAIN SOLVE Loop
x[1] = 0.343
y[1] (analytic) = 10.275759329080684717873238223397
y[1] (numeric) = 10.2757593290806847178732382234
absolute error = 3e-30
relative error = 2.9194922768480150718124531118885e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.638
Order of pole = 587
TOP MAIN SOLVE Loop
memory used=392.9MB, alloc=4.5MB, time=16.81
x[1] = 0.344
y[1] (analytic) = 10.275995878975421378809372497167
y[1] (numeric) = 10.27599587897542137880937249717
absolute error = 3e-30
relative error = 2.9194250711388160379504509636642e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.637
Order of pole = 587
TOP MAIN SOLVE Loop
x[1] = 0.345
y[1] (analytic) = 10.276232531735975458251219800073
y[1] (numeric) = 10.276232531735975458251219800076
absolute error = 3e-30
relative error = 2.9193578393006708692218282253452e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.636
Order of pole = 587
TOP MAIN SOLVE Loop
x[1] = 0.346
y[1] (analytic) = 10.276469287364898950178203264576
y[1] (numeric) = 10.276469287364898950178203264579
absolute error = 3e-30
relative error = 2.9192905813366786868114277505216e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.635
Order of pole = 587
TOP MAIN SOLVE Loop
x[1] = 0.347
y[1] (analytic) = 10.276706145864745127140115279961
y[1] (numeric) = 10.276706145864745127140115279964
absolute error = 3e-30
relative error = 2.9192232972499395990726963071196e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.634
Order of pole = 586.9
TOP MAIN SOLVE Loop
x[1] = 0.348
y[1] (analytic) = 10.276943107238068540523884211019
y[1] (numeric) = 10.276943107238068540523884211021
absolute error = 2e-30
relative error = 1.9461039913623698007564200925879e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.633
Order of pole = 586.9
TOP MAIN SOLVE Loop
x[1] = 0.349
y[1] (analytic) = 10.277180171487425020820509290097
y[1] (numeric) = 10.277180171487425020820509290099
absolute error = 2e-30
relative error = 1.9460591004804173830057485110191e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.632
Order of pole = 586.9
TOP MAIN SOLVE Loop
x[1] = 0.35
y[1] (analytic) = 10.277417338615371677892163765326
y[1] (numeric) = 10.277417338615371677892163765329
absolute error = 3e-30
relative error = 2.9190212882842567866952151033540e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.631
Order of pole = 586.9
TOP MAIN SOLVE Loop
x[1] = 0.351
y[1] (analytic) = 10.277654608624466901239466387871
y[1] (numeric) = 10.277654608624466901239466387873
absolute error = 2e-30
relative error = 1.9459692664917005938604986400198e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.63
Order of pole = 586.9
TOP MAIN SOLVE Loop
x[1] = 0.352
y[1] (analytic) = 10.27789198151727036026892132113
y[1] (numeric) = 10.277891981517270360268921321132
absolute error = 2e-30
relative error = 1.9459243233890756167292780089204e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.629
Order of pole = 586.9
TOP MAIN SOLVE Loop
x[1] = 0.353
y[1] (analytic) = 10.278129457296343004560526554897
y[1] (numeric) = 10.278129457296343004560526554899
absolute error = 2e-30
relative error = 1.9458793628837002751414868759331e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.628
Order of pole = 586.9
TOP MAIN SOLVE Loop
x[1] = 0.354
y[1] (analytic) = 10.278367035964247064135550907519
y[1] (numeric) = 10.278367035964247064135550907521
absolute error = 2e-30
relative error = 1.9458343849776459074455789378559e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.626
Order of pole = 586.9
TOP MAIN SOLVE Loop
memory used=396.7MB, alloc=4.5MB, time=16.98
x[1] = 0.355
y[1] (analytic) = 10.278604717523546049724479699203
y[1] (numeric) = 10.278604717523546049724479699206
absolute error = 3e-30
relative error = 2.9186840845094767620064471412614e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.625
Order of pole = 586.9
TOP MAIN SOLVE Loop
x[1] = 0.356
y[1] (analytic) = 10.278842501976804753035129179658
y[1] (numeric) = 10.278842501976804753035129179661
absolute error = 3e-30
relative error = 2.9186165654576830903981832429918e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.624
Order of pole = 586.9
TOP MAIN SOLVE Loop
x[1] = 0.357
y[1] (analytic) = 10.279080389326589247020929793328
y[1] (numeric) = 10.279080389326589247020929793331
absolute error = 3e-30
relative error = 2.9185490203141978047489627243273e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.623
Order of pole = 586.9
TOP MAIN SOLVE Loop
x[1] = 0.358
y[1] (analytic) = 10.279318379575466886149378365567
y[1] (numeric) = 10.27931837957546688614937836557
absolute error = 3e-30
relative error = 2.9184814490821318463038122072126e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.622
Order of pole = 586.9
TOP MAIN SOLVE Loop
x[1] = 0.359
y[1] (analytic) = 10.279556472726006306670659293135
y[1] (numeric) = 10.279556472726006306670659293138
absolute error = 3e-30
relative error = 2.9184138517645971387532732335201e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.621
Order of pole = 586.9
TOP MAIN SOLVE Loop
x[1] = 0.36
y[1] (analytic) = 10.279794668780777426886434822495
y[1] (numeric) = 10.279794668780777426886434822498
absolute error = 3e-30
relative error = 2.9183462283647065878391796376085e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.62
Order of pole = 586.9
TOP MAIN SOLVE Loop
x[1] = 0.361
y[1] (analytic) = 10.280032967742351447418804499438
y[1] (numeric) = 10.280032967742351447418804499442
absolute error = 4e-30
relative error = 3.8910381051807654412804507412008e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.619
Order of pole = 586.9
TOP MAIN SOLVE Loop
x[1] = 0.362
y[1] (analytic) = 10.280271369613300851479433873644
y[1] (numeric) = 10.280271369613300851479433873647
absolute error = 3e-30
relative error = 2.9182109033303144867781116482770e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.618
Order of pole = 586.9
TOP MAIN SOLVE Loop
x[1] = 0.363
y[1] (analytic) = 10.280509874396199405138852541836
y[1] (numeric) = 10.280509874396199405138852541839
absolute error = 3e-30
relative error = 2.9181432017020436548219071060909e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.617
Order of pole = 586.9
TOP MAIN SOLVE Loop
x[1] = 0.364
y[1] (analytic) = 10.280748482093622157595921613284
y[1] (numeric) = 10.280748482093622157595921613287
absolute error = 3e-30
relative error = 2.9180754740038784150945650215996e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.616
Order of pole = 586.9
TOP MAIN SOLVE Loop
x[1] = 0.365
y[1] (analytic) = 10.280987192708145441447470681449
y[1] (numeric) = 10.280987192708145441447470681452
absolute error = 3e-30
relative error = 2.9180077202389365776776536936260e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.615
Order of pole = 586.9
TOP MAIN SOLVE Loop
x[1] = 0.366
y[1] (analytic) = 10.281226006242346872958104385644
y[1] (numeric) = 10.281226006242346872958104385648
absolute error = 4e-30
relative error = 3.8905865872137825764488885923409e-29 %
Correct digits = 30
h = 0.001
memory used=400.5MB, alloc=4.5MB, time=17.15
Real estimate of pole used for equation 1
Radius of convergence = 7.614
Order of pole = 586.9
TOP MAIN SOLVE Loop
x[1] = 0.367
y[1] (analytic) = 10.281464922698805352330178646659
y[1] (numeric) = 10.281464922698805352330178646663
absolute error = 4e-30
relative error = 3.8904961793615989975014966951744e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.613
Order of pole = 586.9
TOP MAIN SOLVE Loop
x[1] = 0.368
y[1] (analytic) = 10.281703942080101063973946660348
y[1] (numeric) = 10.281703942080101063973946660352
absolute error = 4e-30
relative error = 3.8904057367661923639927622158778e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.612
Order of pole = 586.9
TOP MAIN SOLVE Loop
x[1] = 0.369
y[1] (analytic) = 10.281943064388815476777874733274
y[1] (numeric) = 10.281943064388815476777874733277
absolute error = 3e-30
relative error = 2.9177364445737937333895023904442e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.611
Order of pole = 586.9
TOP MAIN SOLVE Loop
x[1] = 0.37
y[1] (analytic) = 10.282182289627531344379128044533
y[1] (numeric) = 10.282182289627531344379128044536
absolute error = 3e-30
relative error = 2.9176685605217703338621541282797e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.61
Order of pole = 586.9
TOP MAIN SOLVE Loop
x[1] = 0.371
y[1] (analytic) = 10.282421617798832705434226417997
y[1] (numeric) = 10.282421617798832705434226418
absolute error = 3e-30
relative error = 2.9176006504216977566722331874953e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.609
Order of pole = 586.9
TOP MAIN SOLVE Loop
x[1] = 0.372
y[1] (analytic) = 10.282661048905304883889870189238
y[1] (numeric) = 10.282661048905304883889870189241
absolute error = 3e-30
relative error = 2.9175327142767006613925327250124e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.608
Order of pole = 586.9
TOP MAIN SOLVE Loop
x[1] = 0.373
y[1] (analytic) = 10.282900582949534489253936251493
y[1] (numeric) = 10.282900582949534489253936251496
absolute error = 3e-30
relative error = 2.9174647520899046845134567314173e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.607
Order of pole = 586.9
TOP MAIN SOLVE Loop
x[1] = 0.374
y[1] (analytic) = 10.283140219934109416866644365087
y[1] (numeric) = 10.28314021993410941686664436509
absolute error = 3e-30
relative error = 2.9173967638644364390474481293880e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.606
Order of pole = 586.9
TOP MAIN SOLVE Loop
x[1] = 0.375
y[1] (analytic) = 10.283379959861618848171893814806
y[1] (numeric) = 10.283379959861618848171893814809
absolute error = 3e-30
relative error = 2.9173287496034235141333210565544e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.605
Order of pole = 586.9
TOP MAIN SOLVE Loop
x[1] = 0.376
y[1] (analytic) = 10.283619802734653250988770499764
y[1] (numeric) = 10.283619802734653250988770499767
absolute error = 3e-30
relative error = 2.9172607093099944746404974076303e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.604
Order of pole = 586.9
TOP MAIN SOLVE Loop
x[1] = 0.377
y[1] (analytic) = 10.283859748555804379783224540401
y[1] (numeric) = 10.283859748555804379783224540404
absolute error = 3e-30
relative error = 2.9171926429872788607731477106511e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.603
Order of pole = 586.9
TOP MAIN SOLVE Loop
memory used=404.3MB, alloc=4.6MB, time=17.31
x[1] = 0.378
y[1] (analytic) = 10.2840997973276652759399184873
y[1] (numeric) = 10.284099797327665275939918487303
absolute error = 3e-30
relative error = 2.9171245506384071876742364121563e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.602
Order of pole = 586.9
TOP MAIN SOLVE Loop
x[1] = 0.379
y[1] (analytic) = 10.284339949052830268034246216583
y[1] (numeric) = 10.284339949052830268034246216586
absolute error = 3e-30
relative error = 2.9170564322665109450294716461618e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.601
Order of pole = 586.9
TOP MAIN SOLVE Loop
x[1] = 0.38
y[1] (analytic) = 10.284580203733894972104522596717
y[1] (numeric) = 10.28458020373389497210452259672
absolute error = 3e-30
relative error = 2.9169882878747225966711595617634e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.6
Order of pole = 586.9
TOP MAIN SOLVE Loop
x[1] = 0.381
y[1] (analytic) = 10.284820561373456291924344011635
y[1] (numeric) = 10.284820561373456291924344011638
absolute error = 3e-30
relative error = 2.9169201174661755801819632842181e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.599
Order of pole = 586.9
TOP MAIN SOLVE Loop
x[1] = 0.382
y[1] (analytic) = 10.285061021974112419275119825131
y[1] (numeric) = 10.285061021974112419275119825134
absolute error = 3e-30
relative error = 2.9168519210440043064985665843528e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.598
Order of pole = 586.9
TOP MAIN SOLVE Loop
x[1] = 0.383
y[1] (analytic) = 10.28530158553846283421877487157
y[1] (numeric) = 10.285301585538462834218774871573
absolute error = 3e-30
relative error = 2.9167836986113441595152423311520e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.597
Order of pole = 586.9
TOP MAIN SOLVE Loop
x[1] = 0.384
y[1] (analytic) = 10.285542252069108305370623058024
y[1] (numeric) = 10.285542252069108305370623058027
absolute error = 3e-30
relative error = 2.9167154501713314956873258023744e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.596
Order of pole = 586.9
TOP MAIN SOLVE Loop
x[1] = 0.385
y[1] (analytic) = 10.285783021568650890172412162996
y[1] (numeric) = 10.285783021568650890172412162999
absolute error = 3e-30
relative error = 2.9166471757271036436345929280576e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.595
Order of pole = 586.9
TOP MAIN SOLVE Loop
x[1] = 0.386
y[1] (analytic) = 10.286023894039693935165539916992
y[1] (numeric) = 10.286023894039693935165539916995
absolute error = 3e-30
relative error = 2.9165788752817989037445435417649e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.594
Order of pole = 586.9
TOP MAIN SOLVE Loop
x[1] = 0.387
y[1] (analytic) = 10.286264869484842076264441450241
y[1] (numeric) = 10.286264869484842076264441450243
absolute error = 2e-30
relative error = 1.9443403658923710318503931429570e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.593
Order of pole = 586.9
TOP MAIN SOLVE Loop
x[1] = 0.388
y[1] (analytic) = 10.286505947906701239030148192946
y[1] (numeric) = 10.286505947906701239030148192948
absolute error = 2e-30
relative error = 1.9442947976003445456400994971339e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.592
Order of pole = 586.8
TOP MAIN SOLVE Loop
memory used=408.1MB, alloc=4.6MB, time=17.48
x[1] = 0.389
y[1] (analytic) = 10.286747129307878638944018313531
y[1] (numeric) = 10.286747129307878638944018313533
absolute error = 2e-30
relative error = 1.9442492119805472860717629250174e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.591
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.39
y[1] (analytic) = 10.286988413690982781681638780386
y[1] (numeric) = 10.286988413690982781681638780388
absolute error = 2e-30
relative error = 1.9442036090350740421382705833653e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.59
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.391
y[1] (analytic) = 10.287229801058623463386899132713
y[1] (numeric) = 10.287229801058623463386899132715
absolute error = 2e-30
relative error = 1.9441579887660202493543215596476e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.588
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.392
y[1] (analytic) = 10.287471291413411770946237046123
y[1] (numeric) = 10.287471291413411770946237046125
absolute error = 2e-30
relative error = 1.9441123511754819894915701186003e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.587
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.393
y[1] (analytic) = 10.287712884757960082263055778723
y[1] (numeric) = 10.287712884757960082263055778725
absolute error = 2e-30
relative error = 1.9440666962655559903137059699780e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.586
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.394
y[1] (analytic) = 10.287954581094882066532313583483
y[1] (numeric) = 10.287954581094882066532313583485
absolute error = 2e-30
relative error = 1.9440210240383396253114716074259e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.585
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.395
y[1] (analytic) = 10.288196380426792684515285172753
y[1] (numeric) = 10.288196380426792684515285172756
absolute error = 3e-30
relative error = 2.9159630017438963701564251525755e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.584
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.396
y[1] (analytic) = 10.28843828275630818881449532087
y[1] (numeric) = 10.288438282756308188814495320872
absolute error = 2e-30
relative error = 1.9439296276404285188417900649421e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.583
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.397
y[1] (analytic) = 10.288680288086046124148824690852
y[1] (numeric) = 10.288680288086046124148824690854
absolute error = 2e-30
relative error = 1.9438839034739317506053678355714e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.582
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.398
y[1] (analytic) = 10.288922396418625327628787971276
y[1] (numeric) = 10.288922396418625327628787971278
absolute error = 2e-30
relative error = 1.9438381619985405624762202676389e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.581
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.399
y[1] (analytic) = 10.289164607756665929031984409463
y[1] (numeric) = 10.289164607756665929031984409466
absolute error = 3e-30
relative error = 2.9156886048245333289051222609611e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.58
Order of pole = 586.8
TOP MAIN SOLVE Loop
memory used=412.0MB, alloc=4.6MB, time=17.64
x[1] = 0.4
y[1] (analytic) = 10.289406922102789351078720827204
y[1] (numeric) = 10.289406922102789351078720827206
absolute error = 2e-30
relative error = 1.9437466271294779632718571400693e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.579
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.401
y[1] (analytic) = 10.289649339459618309707807205297
y[1] (numeric) = 10.289649339459618309707807205299
absolute error = 2e-30
relative error = 1.9437008337400096806368690918398e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.578
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.402
y[1] (analytic) = 10.289891859829776814352524923274
y[1] (numeric) = 10.289891859829776814352524923276
absolute error = 2e-30
relative error = 1.9436550230500532344587046672002e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.577
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.403
y[1] (analytic) = 10.290134483215890168216767740717
y[1] (numeric) = 10.290134483215890168216767740719
absolute error = 2e-30
relative error = 1.9436091950617117978370031080523e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.576
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.404
y[1] (analytic) = 10.290377209620584968551355606682
y[1] (numeric) = 10.290377209620584968551355606684
absolute error = 2e-30
relative error = 1.9435633497770891869451797226091e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.575
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.405
y[1] (analytic) = 10.290620039046489106930521383782
y[1] (numeric) = 10.290620039046489106930521383784
absolute error = 2e-30
relative error = 1.9435174871982898607647543013178e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.574
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.406
y[1] (analytic) = 10.290862971496231769528570573572
y[1] (numeric) = 10.290862971496231769528570573574
absolute error = 2e-30
relative error = 1.9434716073274189208196172029771e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.573
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.407
y[1] (analytic) = 10.291106006972443437396714129946
y[1] (numeric) = 10.291106006972443437396714129948
absolute error = 2e-30
relative error = 1.9434257101665821109102331609779e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.572
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.408
y[1] (analytic) = 10.291349145477755886740074447313
y[1] (numeric) = 10.291349145477755886740074447315
absolute error = 2e-30
relative error = 1.9433797957178858168477828596000e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.571
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.409
y[1] (analytic) = 10.291592387014802189194864610406
y[1] (numeric) = 10.291592387014802189194864610408
absolute error = 2e-30
relative error = 1.9433338639834370661882423302957e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.57
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.41
y[1] (analytic) = 10.291835731586216712105740992644
y[1] (numeric) = 10.291835731586216712105740992646
absolute error = 2e-30
relative error = 1.9432879149653435279664002178936e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.569
Order of pole = 586.8
TOP MAIN SOLVE Loop
memory used=415.8MB, alloc=4.6MB, time=17.80
x[1] = 0.411
y[1] (analytic) = 10.292079179194635118803329290027
y[1] (numeric) = 10.292079179194635118803329290029
absolute error = 2e-30
relative error = 1.9432419486657135124298129666557e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.568
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.412
y[1] (analytic) = 10.292322729842694368881924077628
y[1] (numeric) = 10.292322729842694368881924077631
absolute error = 3e-30
relative error = 2.9147939476299839561590469641865e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.567
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.413
y[1] (analytic) = 10.292566383533032718477361975814
y[1] (numeric) = 10.292566383533032718477361975816
absolute error = 2e-30
relative error = 1.9431499642302804948697647766912e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.566
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.414
y[1] (analytic) = 10.29281014026828972054506851338
y[1] (numeric) = 10.292810140268289720545068513382
absolute error = 2e-30
relative error = 1.9431039460986973170099842748301e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.565
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.415
y[1] (analytic) = 10.293054000051106225138278774895
y[1] (numeric) = 10.293054000051106225138278774897
absolute error = 2e-30
relative error = 1.9430579106940173096302961179237e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.564
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.416
y[1] (analytic) = 10.293297962884124379686431919569
y[1] (numeric) = 10.293297962884124379686431919572
absolute error = 3e-30
relative error = 2.9145177870275279775738813429440e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.563
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.417
y[1] (analytic) = 10.293542028769987629273739659078
y[1] (numeric) = 10.29354202876998762927373965908
absolute error = 2e-30
relative error = 1.9429657880738134952006105587171e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.562
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.418
y[1] (analytic) = 10.29378619771134071691792878181
y[1] (numeric) = 10.293786197711340716917928781812
absolute error = 2e-30
relative error = 1.9429197008625146313668371123247e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.561
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.419
y[1] (analytic) = 10.294030469710829683849157811105
y[1] (numeric) = 10.294030469710829683849157811107
absolute error = 2e-30
relative error = 1.9428735963865688239125862885649e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.56
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.42
y[1] (analytic) = 10.294274844771101869789107885098
y[1] (numeric) = 10.2942748447711018697891078851
absolute error = 2e-30
relative error = 1.9428274746480901420180895934295e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.559
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.421
y[1] (analytic) = 10.294519322894805913230247945868
y[1] (numeric) = 10.29451932289480591323024794587
absolute error = 2e-30
relative error = 1.9427813356491932934124947709308e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.558
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.422
y[1] (analytic) = 10.294763904084591751715274325655
y[1] (numeric) = 10.294763904084591751715274325657
absolute error = 2e-30
relative error = 1.9427351793919936241071414034237e-29 %
Correct digits = 30
h = 0.001
memory used=419.6MB, alloc=4.6MB, time=17.97
Real estimate of pole used for equation 1
Radius of convergence = 7.557
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.423
y[1] (analytic) = 10.295008588343110622116724817989
y[1] (numeric) = 10.295008588343110622116724817992
absolute error = 3e-30
relative error = 2.9140335088179106771931625465757e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.556
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.424
y[1] (analytic) = 10.295253375673015060916767321639
y[1] (numeric) = 10.295253375673015060916767321642
absolute error = 3e-30
relative error = 2.9139642226667255958790497603775e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.555
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.425
y[1] (analytic) = 10.29549826607695890448716314535
y[1] (numeric) = 10.295498266076958904487163145353
absolute error = 3e-30
relative error = 2.9138949106376110811038049569358e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.554
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.426
y[1] (analytic) = 10.295743259557597289369405061438
y[1] (numeric) = 10.295743259557597289369405061442
absolute error = 4e-30
relative error = 3.8851007636449919700998389894639e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.553
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.427
y[1] (analytic) = 10.295988356117586652555030196359
y[1] (numeric) = 10.295988356117586652555030196362
absolute error = 3e-30
relative error = 2.9137562089583020854211966602355e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.552
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.428
y[1] (analytic) = 10.296233555759584731766107846429
y[1] (numeric) = 10.296233555759584731766107846432
absolute error = 3e-30
relative error = 2.9136868193144641597925153905914e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.551
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.429
y[1] (analytic) = 10.296478858486250565735902306996
y[1] (numeric) = 10.296478858486250565735902307
absolute error = 4e-30
relative error = 3.8848232050738798806115962290868e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.55
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.43
y[1] (analytic) = 10.296724264300244494489710803369
y[1] (numeric) = 10.296724264300244494489710803372
absolute error = 3e-30
relative error = 2.9135479624343200014088850296132e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.549
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.431
y[1] (analytic) = 10.296969773204228159625876611921
y[1] (numeric) = 10.296969773204228159625876611925
absolute error = 4e-30
relative error = 3.8846379936058347339341191765828e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.548
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.432
y[1] (analytic) = 10.297215385200864504596977459868
y[1] (numeric) = 10.297215385200864504596977459872
absolute error = 4e-30
relative error = 3.8845453361583475050782434668294e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.547
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.433
y[1] (analytic) = 10.297461100292817774991189292238
y[1] (numeric) = 10.297461100292817774991189292241
absolute error = 3e-30
relative error = 2.9133394831806572607243020904128e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.546
Order of pole = 586.8
TOP MAIN SOLVE Loop
memory used=423.4MB, alloc=4.6MB, time=18.13
x[1] = 0.434
y[1] (analytic) = 10.297706918482753518813825494686
y[1] (numeric) = 10.297706918482753518813825494689
absolute error = 3e-30
relative error = 2.9132699383932504230536619882902e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.545
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.435
y[1] (analytic) = 10.297952839773338586769051660839
y[1] (numeric) = 10.297952839773338586769051660843
absolute error = 4e-30
relative error = 3.8842671570129673931556980306996e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.544
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.436
y[1] (analytic) = 10.298198864167241132541775992937
y[1] (numeric) = 10.298198864167241132541775992941
absolute error = 4e-30
relative error = 3.8841743617110253427280988505142e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.543
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.437
y[1] (analytic) = 10.298444991667130613079715424606
y[1] (numeric) = 10.29844499166713061307971542461
absolute error = 4e-30
relative error = 3.8840815319560908558466205832386e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.542
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.438
y[1] (analytic) = 10.298691222275677788875637554691
y[1] (numeric) = 10.298691222275677788875637554695
absolute error = 4e-30
relative error = 3.8839886677524149769150133830498e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.541
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.439
y[1] (analytic) = 10.29893755599555472424977848111
y[1] (numeric) = 10.298937555995554724249778481114
absolute error = 4e-30
relative error = 3.8838957691042500178140498551932e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.54
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.44
y[1] (analytic) = 10.299183992829434787632436623804
y[1] (numeric) = 10.299183992829434787632436623808
absolute error = 4e-30
relative error = 3.8838028360158495573658782287567e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.538
Order of pole = 586.8
TOP MAIN SOLVE Loop
x[1] = 0.441
y[1] (analytic) = 10.299430532779992651846742625901
y[1] (numeric) = 10.299430532779992651846742625905
absolute error = 4e-30
relative error = 3.8837098684914684407982543658264e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.537
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.442
y[1] (analytic) = 10.299677175849904294391605422291
y[1] (numeric) = 10.299677175849904294391605422295
absolute error = 4e-30
relative error = 3.8836168665353627792086527069298e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.536
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.443
y[1] (analytic) = 10.299923922041846997724834564899
y[1] (numeric) = 10.299923922041846997724834564903
absolute error = 4e-30
relative error = 3.8835238301517899490282562526636e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.535
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.444
y[1] (analytic) = 10.30017077135849934954643889398
y[1] (numeric) = 10.300170771358499349546438893985
absolute error = 5e-30
relative error = 4.8542884491812607393572821017756e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.534
Order of pole = 586.7
TOP MAIN SOLVE Loop
memory used=427.2MB, alloc=4.6MB, time=18.29
x[1] = 0.445
y[1] (analytic) = 10.300417723802541243082101644876
y[1] (numeric) = 10.300417723802541243082101644881
absolute error = 5e-30
relative error = 4.8541720676490982650893096288888e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.533
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.446
y[1] (analytic) = 10.300664779376653877366832079699
y[1] (numeric) = 10.300664779376653877366832079704
absolute error = 5e-30
relative error = 4.8540556430985764750002034359940e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.532
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.447
y[1] (analytic) = 10.300911938083519757528793733531
y[1] (numeric) = 10.300911938083519757528793733535
absolute error = 4e-30
relative error = 3.8831513404280187276754720961194e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.531
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.448
y[1] (analytic) = 10.301159199925822695073309364745
y[1] (numeric) = 10.301159199925822695073309364749
absolute error = 4e-30
relative error = 3.8830581319710149501527245304775e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.53
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.449
y[1] (analytic) = 10.301406564906247808167042699183
y[1] (numeric) = 10.301406564906247808167042699188
absolute error = 5e-30
relative error = 4.8537061113901435057529783022374e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.529
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.45
y[1] (analytic) = 10.301654033027481521922357057952
y[1] (numeric) = 10.301654033027481521922357057957
absolute error = 5e-30
relative error = 4.8535895148194806372164610710203e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.528
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.451
y[1] (analytic) = 10.301901604292211568681850958692
y[1] (numeric) = 10.301901604292211568681850958697
absolute error = 5e-30
relative error = 4.8534728752571144318188641336341e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.527
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.452
y[1] (analytic) = 10.302149278703126988303070780255
y[1] (numeric) = 10.30214927870312698830307078026
absolute error = 5e-30
relative error = 4.8533561927083808149279370388738e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.526
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.453
y[1] (analytic) = 10.302397056262918128443400580778
y[1] (numeric) = 10.302397056262918128443400580782
absolute error = 4e-30
relative error = 3.8825915737428938294961208144611e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.525
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.454
y[1] (analytic) = 10.302644936974276644845129159227
y[1] (numeric) = 10.302644936974276644845129159232
absolute error = 5e-30
relative error = 4.8531226986731629222590314520067e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.524
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.455
y[1] (analytic) = 10.302892920839895501620694450568
y[1] (numeric) = 10.302892920839895501620694450573
absolute error = 5e-30
relative error = 4.8530058871973583693233406315712e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.523
Order of pole = 586.7
TOP MAIN SOLVE Loop
memory used=431.0MB, alloc=4.6MB, time=18.46
x[1] = 0.456
y[1] (analytic) = 10.303141007862468971538105344753
y[1] (numeric) = 10.303141007862468971538105344758
absolute error = 5e-30
relative error = 4.8528890327565458492351109372599e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.522
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.457
y[1] (analytic) = 10.303389198044692636306541019847
y[1] (numeric) = 10.303389198044692636306541019852
absolute error = 5e-30
relative error = 4.8527721353560691554375285621806e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.521
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.458
y[1] (analytic) = 10.303637491389263386862127879632
y[1] (numeric) = 10.303637491389263386862127879637
absolute error = 5e-30
relative error = 4.8526551950012736529726679035859e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.52
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.459
y[1] (analytic) = 10.303885887898879423653894186143
y[1] (numeric) = 10.303885887898879423653894186148
absolute error = 5e-30
relative error = 4.8525382116975062778090767477653e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.519
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.46
y[1] (analytic) = 10.304134387576240256929902477632
y[1] (numeric) = 10.304134387576240256929902477636
absolute error = 4e-30
relative error = 3.8819369483600924289353698985560e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.518
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.461
y[1] (analytic) = 10.304382990424046707023559862552
y[1] (numeric) = 10.304382990424046707023559862556
absolute error = 4e-30
relative error = 3.8818432930115612030853829574585e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.517
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.462
y[1] (analytic) = 10.304631696445000904640106280222
y[1] (numeric) = 10.304631696445000904640106280226
absolute error = 4e-30
relative error = 3.8817496033166926604668916706977e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.516
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.463
y[1] (analytic) = 10.304880505641806291143280818889
y[1] (numeric) = 10.304880505641806291143280818893
absolute error = 4e-30
relative error = 3.8816558792797693714377467820384e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.515
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.464
y[1] (analytic) = 10.305129418017167618842166182003
y[1] (numeric) = 10.305129418017167618842166182007
absolute error = 4e-30
relative error = 3.8815621209050751604055315032255e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.514
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.465
y[1] (analytic) = 10.305378433573790951278211393583
y[1] (numeric) = 10.305378433573790951278211393587
absolute error = 4e-30
relative error = 3.8814683281968951052889155681095e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.513
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.466
y[1] (analytic) = 10.305627552314383663512432833612
y[1] (numeric) = 10.305627552314383663512432833616
absolute error = 4e-30
relative error = 3.8813745011595155369788906208126e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.512
Order of pole = 586.7
TOP MAIN SOLVE Loop
memory used=434.8MB, alloc=4.6MB, time=18.62
x[1] = 0.467
y[1] (analytic) = 10.305876774241654442412793694505
y[1] (numeric) = 10.305876774241654442412793694509
absolute error = 4e-30
relative error = 3.8812806397972240387998870378345e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.511
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.468
y[1] (analytic) = 10.306126099358313286941761949731
y[1] (numeric) = 10.306126099358313286941761949735
absolute error = 4e-30
relative error = 3.8811867441143094459707722840066e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.51
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.469
y[1] (analytic) = 10.306375527667071508444046925773
y[1] (numeric) = 10.306375527667071508444046925776
absolute error = 3e-30
relative error = 2.9108196105862963837992981766463e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.509
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.47
y[1] (analytic) = 10.306625059170641730934514568664
y[1] (numeric) = 10.306625059170641730934514568668
absolute error = 4e-30
relative error = 3.8809988498037725734750262366584e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.508
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.471
y[1] (analytic) = 10.306874693871737891386281496435
y[1] (numeric) = 10.306874693871737891386281496438
absolute error = 3e-30
relative error = 2.9106786383885506641492329924661e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.507
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.472
y[1] (analytic) = 10.307124431773075240018987928839
y[1] (numeric) = 10.307124431773075240018987928842
absolute error = 3e-30
relative error = 2.9106081136966804639813632849858e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.506
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.473
y[1] (analytic) = 10.307374272877370340587249585856
y[1] (numeric) = 10.307374272877370340587249585859
absolute error = 3e-30
relative error = 2.9105375632804401445540772477703e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.505
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.474
y[1] (analytic) = 10.307624217187341070669288646496
y[1] (numeric) = 10.307624217187341070669288646499
absolute error = 3e-30
relative error = 2.9104669871430519573122503455692e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.504
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.475
y[1] (analytic) = 10.307874264705706621955743859521
y[1] (numeric) = 10.307874264705706621955743859524
absolute error = 3e-30
relative error = 2.9103963852877390897893457327687e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.503
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.476
y[1] (analytic) = 10.30812441543518750053865989779
y[1] (numeric) = 10.308124415435187500538659897793
absolute error = 3e-30
relative error = 2.9103257577177256652024549207856e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.502
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.477
y[1] (analytic) = 10.308374669378505527200656047971
y[1] (numeric) = 10.308374669378505527200656047974
absolute error = 3e-30
relative error = 2.9102551044362367420472502701785e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.501
Order of pole = 586.7
TOP MAIN SOLVE Loop
memory used=438.7MB, alloc=4.6MB, time=18.79
x[1] = 0.478
y[1] (analytic) = 10.308625026538383837704274327481
y[1] (numeric) = 10.308625026538383837704274327484
absolute error = 3e-30
relative error = 2.9101844254464983136928493823928e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.5
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.479
y[1] (analytic) = 10.308875486917546883081507120553
y[1] (numeric) = 10.308875486917546883081507120556
absolute error = 3e-30
relative error = 2.9101137207517373079765914660666e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.499
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.48
y[1] (analytic) = 10.309126050518720429923504425424
y[1] (numeric) = 10.309126050518720429923504425427
absolute error = 3e-30
relative error = 2.9100429903551815867987257528155e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.498
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.481
y[1] (analytic) = 10.309376717344631560670460804708
y[1] (numeric) = 10.30937671734463156067046080471
absolute error = 2e-30
relative error = 1.9399814895067066304780080249446e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.497
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.482
y[1] (analytic) = 10.309627487398008673901682131087
y[1] (numeric) = 10.309627487398008673901682131089
absolute error = 2e-30
relative error = 1.9399343016464014090274889448768e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.496
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.483
y[1] (analytic) = 10.309878360681581484625832220543
y[1] (numeric) = 10.309878360681581484625832220545
absolute error = 2e-30
relative error = 1.9398870966580258346184142042415e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.495
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.484
y[1] (analytic) = 10.310129337198081024571359445402
y[1] (numeric) = 10.310129337198081024571359445405
absolute error = 3e-30
relative error = 2.9097598118156014549731927977162e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.494
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.485
y[1] (analytic) = 10.310380416950239642477103419568
y[1] (numeric) = 10.310380416950239642477103419571
absolute error = 3e-30
relative error = 2.9096889529585227488100004508103e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.493
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.486
y[1] (analytic) = 10.310631599940791004383081848369
y[1] (numeric) = 10.310631599940791004383081848372
absolute error = 3e-30
relative error = 2.9096180684190360911992945773128e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.492
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.487
y[1] (analytic) = 10.310882886172470093921457635541
y[1] (numeric) = 10.310882886172470093921457635544
absolute error = 3e-30
relative error = 2.9095471582003758711255981009871e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.491
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.488
y[1] (analytic) = 10.311134275648013212607686339926
y[1] (numeric) = 10.311134275648013212607686339929
absolute error = 3e-30
relative error = 2.9094762223057774083906940663710e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.49
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.489
y[1] (analytic) = 10.311385768370157980131844074549
y[1] (numeric) = 10.311385768370157980131844074552
absolute error = 3e-30
relative error = 2.9094052607384769532075258711855e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.489
Order of pole = 586.7
memory used=442.5MB, alloc=4.6MB, time=18.96
TOP MAIN SOLVE Loop
x[1] = 0.49
y[1] (analytic) = 10.311637364341643334650135940814
y[1] (numeric) = 10.311637364341643334650135940817
absolute error = 3e-30
relative error = 2.9093342735017116857940102973847e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.488
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.491
y[1] (analytic) = 10.311889063565209533076585090624
y[1] (numeric) = 10.311889063565209533076585090627
absolute error = 3e-30
relative error = 2.9092632605987197159667634157595e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.487
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.492
y[1] (analytic) = 10.312140866043598151374902509317
y[1] (numeric) = 10.312140866043598151374902509321
absolute error = 4e-30
relative error = 3.8789229627103201103129859186705e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.486
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.493
y[1] (analytic) = 10.312392771779552084850537612386
y[1] (numeric) = 10.31239277177955208485053761239
absolute error = 4e-30
relative error = 3.8788282104093503385237101308601e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.485
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.494
y[1] (analytic) = 10.312644780775815548442909749002
y[1] (numeric) = 10.312644780775815548442909749006
absolute error = 4e-30
relative error = 3.8787334238997048341534561563584e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.484
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.495
y[1] (analytic) = 10.312896893035134077017820705476
y[1] (numeric) = 10.312896893035134077017820705481
absolute error = 5e-30
relative error = 4.8482982539821325367476672690114e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.483
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.496
y[1] (analytic) = 10.313149108560254525660048301838
y[1] (numeric) = 10.313149108560254525660048301842
absolute error = 4e-30
relative error = 3.8785437482716775932083523100375e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.482
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.497
y[1] (analytic) = 10.313401427353925069966121174786
y[1] (numeric) = 10.31340142735392506996612117479
absolute error = 4e-30
relative error = 3.8784488591619444307470265180257e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.481
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.498
y[1] (analytic) = 10.313653849418895206337274840372
y[1] (numeric) = 10.313653849418895206337274840376
absolute error = 4e-30
relative error = 3.8783539358608326828468678134094e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.48
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.499
y[1] (analytic) = 10.313906374757915752272589129815
y[1] (numeric) = 10.313906374757915752272589129819
absolute error = 4e-30
relative error = 3.8782589783726697254677595203719e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.479
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.5
y[1] (analytic) = 10.31415900337373884666230709194
y[1] (numeric) = 10.314159003373738846662307091945
absolute error = 5e-30
relative error = 4.8477049833772302114425213702492e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.478
Order of pole = 586.7
TOP MAIN SOLVE Loop
memory used=446.3MB, alloc=4.6MB, time=19.12
x[1] = 0.501
y[1] (analytic) = 10.314411735269117950081335455823
y[1] (numeric) = 10.314411735269117950081335455827
absolute error = 4e-30
relative error = 3.8780689608525058584915331445566e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.477
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.502
y[1] (analytic) = 10.314664570446807845082926747258
y[1] (numeric) = 10.314664570446807845082926747262
absolute error = 4e-30
relative error = 3.8779739008291658715648073587556e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.476
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.503
y[1] (analytic) = 10.314917508909564636492543152795
y[1] (numeric) = 10.314917508909564636492543152799
absolute error = 4e-30
relative error = 3.8778788066360965194138614948661e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.475
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.504
y[1] (analytic) = 10.31517055066014575170190222512
y[1] (numeric) = 10.315170550660145751701902225124
absolute error = 4e-30
relative error = 3.8777836782776313454910394745352e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.474
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.505
y[1] (analytic) = 10.31542369570130994096320452366
y[1] (numeric) = 10.315423695701309940963204523664
absolute error = 4e-30
relative error = 3.8776885157581051251176927173681e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.473
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.506
y[1] (analytic) = 10.315676944035817277683543284353
y[1] (numeric) = 10.315676944035817277683543284357
absolute error = 4e-30
relative error = 3.8775933190818538649407508027265e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.472
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.507
y[1] (analytic) = 10.315930295666429158719496212617
y[1] (numeric) = 10.315930295666429158719496212621
absolute error = 4e-30
relative error = 3.8774980882532148023891775607934e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.471
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.508
y[1] (analytic) = 10.3161837505959083046718994936
y[1] (numeric) = 10.316183750595908304671899493604
absolute error = 4e-30
relative error = 3.8774028232765264051303126927596e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.469
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.509
y[1] (analytic) = 10.316437308827018760180804113904
y[1] (numeric) = 10.316437308827018760180804113907
absolute error = 3e-30
relative error = 2.9079806431170962778945742649810e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.468
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.51
y[1] (analytic) = 10.31669097036252589422061458902
y[1] (numeric) = 10.316690970362525894220614589023
absolute error = 3e-30
relative error = 2.9079091431722712188168965964345e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.467
Order of pole = 586.7
TOP MAIN SOLVE Loop
x[1] = 0.511
y[1] (analytic) = 10.316944735205196400395410190816
y[1] (numeric) = 10.316944735205196400395410190819
absolute error = 3e-30
relative error = 2.9078376176261762429542318820934e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.466
Order of pole = 586.7
TOP MAIN SOLVE Loop
memory used=450.1MB, alloc=4.6MB, time=19.29
x[1] = 0.512
y[1] (analytic) = 10.317198603357798297234448769471
y[1] (numeric) = 10.317198603357798297234448769474
absolute error = 3e-30
relative error = 2.9077660664820688876930602200166e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.465
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.513
y[1] (analytic) = 10.317452574823100928487853264341
y[1] (numeric) = 10.317452574823100928487853264344
absolute error = 3e-30
relative error = 2.9076944897432076110586395107488e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.464
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.514
y[1] (analytic) = 10.317706649603874963422480998318
y[1] (numeric) = 10.317706649603874963422480998321
absolute error = 3e-30
relative error = 2.9076228874128517913067481260383e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.463
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.515
y[1] (analytic) = 10.317960827702892397117975850307
y[1] (numeric) = 10.31796082770289239711797585031
absolute error = 3e-30
relative error = 2.9075512594942617265153422485614e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.462
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.516
y[1] (analytic) = 10.318215109122926550763003400546
y[1] (numeric) = 10.318215109122926550763003400549
absolute error = 3e-30
relative error = 2.9074796059906986341761279575221e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.461
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.517
y[1] (analytic) = 10.318469493866752071951669143544
y[1] (numeric) = 10.318469493866752071951669143547
absolute error = 3e-30
relative error = 2.9074079269054246507860481350037e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.46
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.518
y[1] (analytic) = 10.318723981937144934980119863506
y[1] (numeric) = 10.31872398193714493498011986351
absolute error = 4e-30
relative error = 3.8764482963222704419182456905859e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.459
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.519
y[1] (analytic) = 10.318978573336882441143328267196
y[1] (numeric) = 10.3189785733368824411433282672
absolute error = 4e-30
relative error = 3.8763526560037295325540976274245e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.458
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.52
y[1] (analytic) = 10.319233268068743219032060969235
y[1] (numeric) = 10.31923326806874321903206096924
absolute error = 5e-30
relative error = 4.8453212269866208262957317537476e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.457
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.521
y[1] (analytic) = 10.319488066135507224830029924958
y[1] (numeric) = 10.319488066135507224830029924963
absolute error = 5e-30
relative error = 4.8452015913541577982588999258039e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.456
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.522
y[1] (analytic) = 10.319742967539955742611227405975
y[1] (numeric) = 10.31974296753995574261122740598
absolute error = 5e-30
relative error = 4.8450819131127173739028839817082e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.455
Order of pole = 586.6
TOP MAIN SOLVE Loop
memory used=453.9MB, alloc=4.6MB, time=19.45
x[1] = 0.523
y[1] (analytic) = 10.319997972284871384637444613708
y[1] (numeric) = 10.319997972284871384637444613712
absolute error = 4e-30
relative error = 3.8759697538141964985085846412372e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.454
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.524
y[1] (analytic) = 10.320253080373038091655974026216
y[1] (numeric) = 10.32025308037303809165597402622
absolute error = 4e-30
relative error = 3.8758739430597521142167450351755e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.453
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.525
y[1] (analytic) = 10.320508291807241133197495573726
y[1] (numeric) = 10.32050829180724113319749557373
absolute error = 4e-30
relative error = 3.8757780982312000446763472069421e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.452
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.526
y[1] (analytic) = 10.320763606590267107874146738335
y[1] (numeric) = 10.32076360659026710787414673834
absolute error = 5e-30
relative error = 4.8446027741661260109375179064207e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.451
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.527
y[1] (analytic) = 10.321019024724903943677776673462
y[1] (numeric) = 10.321019024724903943677776673467
absolute error = 5e-30
relative error = 4.8444828829615201814845244112507e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.45
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.528
y[1] (analytic) = 10.321274546213940898278384438665
y[1] (numeric) = 10.321274546213940898278384438671
absolute error = 6e-30
relative error = 5.8132355390167635181205386437478e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.449
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.529
y[1] (analytic) = 10.321530171060168559322741445563
y[1] (numeric) = 10.321530171060168559322741445569
absolute error = 6e-30
relative error = 5.8130915673947153794720698506934e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.448
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.53
y[1] (analytic) = 10.321785899266378844733198210627
y[1] (numeric) = 10.321785899266378844733198210633
absolute error = 6e-30
relative error = 5.8129475446942278945394418999023e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.447
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.531
y[1] (analytic) = 10.322041730835365003006675510733
y[1] (numeric) = 10.322041730835365003006675510738
absolute error = 5e-30
relative error = 4.8440028924348758188169808039528e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.446
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.532
y[1] (analytic) = 10.322297665769921613513840037408
y[1] (numeric) = 10.322297665769921613513840037414
absolute error = 6e-30
relative error = 5.8126593460841363885873368080357e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.445
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.533
y[1] (analytic) = 10.322553704072844586798464645811
y[1] (numeric) = 10.322553704072844586798464645817
absolute error = 6e-30
relative error = 5.8125151701876376824677912205191e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.444
Order of pole = 586.6
TOP MAIN SOLVE Loop
memory used=457.7MB, alloc=4.6MB, time=19.61
x[1] = 0.534
y[1] (analytic) = 10.322809845746931164876973294527
y[1] (numeric) = 10.322809845746931164876973294533
absolute error = 6e-30
relative error = 5.8123709432389102582243186458336e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.443
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.535
y[1] (analytic) = 10.323066090794979921538170772383
y[1] (numeric) = 10.323066090794979921538170772389
absolute error = 6e-30
relative error = 5.8122266652445113331345391416555e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.442
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.536
y[1] (analytic) = 10.323322439219790762643157308526
y[1] (numeric) = 10.323322439219790762643157308532
absolute error = 6e-30
relative error = 5.8120823362109999469308798266621e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.441
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.537
y[1] (analytic) = 10.323578891024164926425428162105
y[1] (numeric) = 10.323578891024164926425428162111
absolute error = 6e-30
relative error = 5.8119379561449369609801729629764e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.44
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.538
y[1] (analytic) = 10.323835446210904983791158287977
y[1] (numeric) = 10.323835446210904983791158287983
absolute error = 6e-30
relative error = 5.8117935250528850574630868237396e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.439
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.539
y[1] (analytic) = 10.324092104782814838619672174921
y[1] (numeric) = 10.324092104782814838619672174927
absolute error = 6e-30
relative error = 5.8116490429414087385533894954605e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.438
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.54
y[1] (analytic) = 10.324348866742699728064098952939
y[1] (numeric) = 10.324348866742699728064098952946
absolute error = 7e-30
relative error = 6.7800885947865867131965533922419e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.437
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.541
y[1] (analytic) = 10.324605732093366222852212866297
y[1] (numeric) = 10.324605732093366222852212866304
absolute error = 7e-30
relative error = 6.7799199133008582846730051124847e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.436
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.542
y[1] (analytic) = 10.324862700837622227587459209017
y[1] (numeric) = 10.324862700837622227587459209024
absolute error = 7e-30
relative error = 6.7797511723154565261731218272767e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.435
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.543
y[1] (analytic) = 10.32511977297827698105016581965
y[1] (numeric) = 10.325119772978276981050165819657
absolute error = 7e-30
relative error = 6.7795823718380485072882843822173e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.434
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.544
y[1] (analytic) = 10.325376948518141056498940232197
y[1] (numeric) = 10.325376948518141056498940232204
absolute error = 7e-30
relative error = 6.7794135118763034161446113874900e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.433
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.545
y[1] (analytic) = 10.325634227460026361972252580154
y[1] (numeric) = 10.325634227460026361972252580161
absolute error = 7e-30
relative error = 6.7792445924378925584442678633088e-29 %
Correct digits = 30
h = 0.001
memory used=461.6MB, alloc=4.6MB, time=19.78
Real estimate of pole used for equation 1
Radius of convergence = 7.432
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.546
y[1] (analytic) = 10.325891609806746140590204350712
y[1] (numeric) = 10.325891609806746140590204350719
absolute error = 7e-30
relative error = 6.7790756135304893565065801978646e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.431
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.547
y[1] (analytic) = 10.326149095561114970856483086244
y[1] (numeric) = 10.326149095561114970856483086251
absolute error = 7e-30
relative error = 6.7789065751617693483089575923000e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.43
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.548
y[1] (analytic) = 10.326406684725948766960503130273
y[1] (numeric) = 10.32640668472594876696050313028
absolute error = 7e-30
relative error = 6.7787374773394101865276201672437e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.429
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.549
y[1] (analytic) = 10.326664377304064779079732515199
y[1] (numeric) = 10.326664377304064779079732515206
absolute error = 7e-30
relative error = 6.7785683200710916375781339054284e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.428
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.55
y[1] (analytic) = 10.326922173298281593682206089148
y[1] (numeric) = 10.326922173298281593682206089155
absolute error = 7e-30
relative error = 6.7783991033644955806557526049025e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.427
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.551
y[1] (analytic) = 10.327180072711419133829224979373
y[1] (numeric) = 10.32718007271141913382922497938
absolute error = 7e-30
relative error = 6.7782298272273060067755670173489e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.426
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.552
y[1] (analytic) = 10.327438075546298659478242489731
y[1] (numeric) = 10.327438075546298659478242489738
absolute error = 7e-30
relative error = 6.7780604916672090178124613460066e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.425
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.553
y[1] (analytic) = 10.327696181805742767785936529817
y[1] (numeric) = 10.327696181805742767785936529824
absolute error = 7e-30
relative error = 6.7778910966918928255408772776978e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.424
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.554
y[1] (analytic) = 10.327954391492575393411468673449
y[1] (numeric) = 10.327954391492575393411468673456
absolute error = 7e-30
relative error = 6.7777216423090477506743857234360e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.423
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.555
y[1] (analytic) = 10.328212704609621808819929944237
y[1] (numeric) = 10.328212704609621808819929944244
absolute error = 7e-30
relative error = 6.7775521285263662219050664421063e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.422
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.556
y[1] (analytic) = 10.328471121159708624585973426081
y[1] (numeric) = 10.328471121159708624585973426087
absolute error = 6e-30
relative error = 5.8091850474441795213794534757302e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.421
Order of pole = 586.6
TOP MAIN SOLVE Loop
memory used=465.4MB, alloc=4.6MB, time=19.94
x[1] = 0.557
y[1] (analytic) = 10.328729641145663789697633796505
y[1] (numeric) = 10.328729641145663789697633796512
absolute error = 7e-30
relative error = 6.7772129227922740515537422924665e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.42
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.558
y[1] (analytic) = 10.328988264570316591860333880825
y[1] (numeric) = 10.328988264570316591860333880832
absolute error = 7e-30
relative error = 6.7770432308562587986001716467482e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.419
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.559
y[1] (analytic) = 10.329246991436497657801078325207
y[1] (numeric) = 10.329246991436497657801078325214
absolute error = 7e-30
relative error = 6.7768734795511978670780589394407e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.418
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.56
y[1] (analytic) = 10.329505821747038953572834486781
y[1] (numeric) = 10.329505821747038953572834486788
absolute error = 7e-30
relative error = 6.7767036688847942111560106440299e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.417
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.561
y[1] (analytic) = 10.329764755504773784859100639035
y[1] (numeric) = 10.329764755504773784859100639042
absolute error = 7e-30
relative error = 6.7765337988647528872133951383339e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.416
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.562
y[1] (analytic) = 10.330023792712536797278661590795
y[1] (numeric) = 10.330023792712536797278661590802
absolute error = 7e-30
relative error = 6.7763638694987810528783823944844e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.415
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.563
y[1] (analytic) = 10.330282933373163976690531817187
y[1] (numeric) = 10.330282933373163976690531817194
absolute error = 7e-30
relative error = 6.7761938807945879660657929475497e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.414
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.564
y[1] (analytic) = 10.330542177489492649499086201043
y[1] (numeric) = 10.33054217748949264949908620105
absolute error = 7e-30
relative error = 6.7760238327598849840147563172153e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.413
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.565
y[1] (analytic) = 10.33080152506436148295937848331
y[1] (numeric) = 10.330801525064361482959378483317
absolute error = 7e-30
relative error = 6.7758537254023855623261790569214e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.412
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.566
y[1] (analytic) = 10.331060976100610485482647521079
y[1] (numeric) = 10.331060976100610485482647521086
absolute error = 7e-30
relative error = 6.7756835587298052540000226048615e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.411
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.567
y[1] (analytic) = 10.331320530601081006942011451954
y[1] (numeric) = 10.331320530601081006942011451961
absolute error = 7e-30
relative error = 6.7755133327498617084723911112255e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.41
Order of pole = 586.6
TOP MAIN SOLVE Loop
memory used=469.2MB, alloc=4.6MB, time=20.11
x[1] = 0.568
y[1] (analytic) = 10.331580188568615738978349863544
y[1] (numeric) = 10.331580188568615738978349863551
absolute error = 7e-30
relative error = 6.7753430474702746706524294160691e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.409
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.569
y[1] (analytic) = 10.331839950006058715306374066948
y[1] (numeric) = 10.331839950006058715306374066956
absolute error = 8e-30
relative error = 7.7430545175985896913817501167835e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.408
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.57
y[1] (analytic) = 10.332099814916255312020885573189
y[1] (numeric) = 10.332099814916255312020885573196
absolute error = 7e-30
relative error = 6.7750022990430595693573585473370e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.407
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.571
y[1] (analytic) = 10.332359783302052247903222871609
y[1] (numeric) = 10.332359783302052247903222871617
absolute error = 8e-30
relative error = 7.7426649553267216735944798859595e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.406
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.572
y[1] (analytic) = 10.332619855166297584727896609366
y[1] (numeric) = 10.332619855166297584727896609374
absolute error = 8e-30
relative error = 7.7424700725828111797016707479496e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.405
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.573
y[1] (analytic) = 10.332880030511840727569413271188
y[1] (numeric) = 10.332880030511840727569413271196
absolute error = 8e-30
relative error = 7.7422751221120282636684799943777e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.404
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.574
y[1] (analytic) = 10.333140309341532425109287458685
y[1] (numeric) = 10.333140309341532425109287458693
absolute error = 8e-30
relative error = 7.7420801039232098369367783904650e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.403
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.575
y[1] (analytic) = 10.333400691658224769943242868551
y[1] (numeric) = 10.333400691658224769943242868559
absolute error = 8e-30
relative error = 7.7418850180251951980638943000396e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.402
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.576
y[1] (analytic) = 10.333661177464771198888602069102
y[1] (numeric) = 10.333661177464771198888602069109
absolute error = 7e-30
relative error = 6.7739786313734727776676724344483e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.401
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.577
y[1] (analytic) = 10.333921766764026493291865174649
y[1] (numeric) = 10.333921766764026493291865174657
absolute error = 8e-30
relative error = 7.7414946431369464070864652249198e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.4
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.578
y[1] (analytic) = 10.334182459558846779336477517319
y[1] (numeric) = 10.334182459558846779336477517327
absolute error = 8e-30
relative error = 7.7412993541644027777510397142179e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.399
Order of pole = 586.6
TOP MAIN SOLVE Loop
memory used=473.0MB, alloc=4.6MB, time=20.27
x[1] = 0.579
y[1] (analytic) = 10.334443255852089528350786415974
y[1] (numeric) = 10.334443255852089528350786415982
absolute error = 8e-30
relative error = 7.7411039975180439796067623390286e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.398
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.58
y[1] (analytic) = 10.33470415564661355711618714201
y[1] (numeric) = 10.334704155646613557116187142017
absolute error = 7e-30
relative error = 6.7732950015558810764667371762473e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.397
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.581
y[1] (analytic) = 10.334965158945279028175458181847
y[1] (numeric) = 10.334965158945279028175458181855
absolute error = 8e-30
relative error = 7.7407130812392881277656523319399e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.396
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.582
y[1] (analytic) = 10.335226265750947450141285896054
y[1] (numeric) = 10.335226265750947450141285896062
absolute error = 8e-30
relative error = 7.7405175216246006496464507089256e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.395
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.583
y[1] (analytic) = 10.33548747606648167800497867508
y[1] (numeric) = 10.335487476066481678004978675088
absolute error = 8e-30
relative error = 7.7403218943715171516660358668722e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.394
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.584
y[1] (analytic) = 10.335748789894745913445370691694
y[1] (numeric) = 10.335748789894745913445370691702
absolute error = 8e-30
relative error = 7.7401261994888983667863272927869e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.393
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.585
y[1] (analytic) = 10.336010207238605705137915350283
y[1] (numeric) = 10.33601020723860570513791535029
absolute error = 7e-30
relative error = 6.7724391323624064785445172085520e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.392
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.586
y[1] (analytic) = 10.336271728100927949063968533249
y[1] (numeric) = 10.336271728100927949063968533256
absolute error = 7e-30
relative error = 6.7722677810116960290452705035597e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.391
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.587
y[1] (analytic) = 10.336533352484580888820261744841
y[1] (numeric) = 10.336533352484580888820261744848
absolute error = 7e-30
relative error = 6.7720963705084140980966056577929e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.39
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.588
y[1] (analytic) = 10.336795080392434115928565252813
y[1] (numeric) = 10.33679508039243411592856525282
absolute error = 7e-30
relative error = 6.7719249008603221375262324137848e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.389
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.589
y[1] (analytic) = 10.337056911827358570145541328399
y[1] (numeric) = 10.337056911827358570145541328406
absolute error = 7e-30
relative error = 6.7717533720751836743662122729825e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.388
Order of pole = 586.6
TOP MAIN SOLVE Loop
memory used=476.8MB, alloc=4.6MB, time=20.43
x[1] = 0.59
y[1] (analytic) = 10.337318846792226539772787685182
y[1] (numeric) = 10.337318846792226539772787685189
absolute error = 7e-30
relative error = 6.7715817841607643098857238885231e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.387
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.591
y[1] (analytic) = 10.337580885289911661967071217493
y[1] (numeric) = 10.337580885289911661967071217501
absolute error = 8e-30
relative error = 7.7387544424283791069984487051521e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.386
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.592
y[1] (analytic) = 10.337843027323288923050752139085
y[1] (numeric) = 10.337843027323288923050752139093
absolute error = 8e-30
relative error = 7.7385582068287493113382107467814e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.385
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.593
y[1] (analytic) = 10.338105272895234658822398622879
y[1] (numeric) = 10.338105272895234658822398622887
absolute error = 8e-30
relative error = 7.7383619036794376165175590553630e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.384
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.594
y[1] (analytic) = 10.338367622008626554867592042699
y[1] (numeric) = 10.338367622008626554867592042707
absolute error = 8e-30
relative error = 7.7381655329893284665840216080343e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.383
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.595
y[1] (analytic) = 10.338630074666343646869922917954
y[1] (numeric) = 10.338630074666343646869922917961
absolute error = 7e-30
relative error = 6.7707229579213950867851455678510e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.382
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.596
y[1] (analytic) = 10.338892630871266320922177662332
y[1] (numeric) = 10.338892630871266320922177662339
absolute error = 7e-30
relative error = 6.7705510153944839763948040622520e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.381
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.597
y[1] (analytic) = 10.339155290626276313837716237656
y[1] (numeric) = 10.339155290626276313837716237663
absolute error = 7e-30
relative error = 6.7703790137927091709208354021361e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.38
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.598
y[1] (analytic) = 10.339418053934256713462040814111
y[1] (numeric) = 10.339418053934256713462040814118
absolute error = 7e-30
relative error = 6.7702069531238528306866452457763e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.379
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.599
y[1] (analytic) = 10.33968092079809195898455553816
y[1] (numeric) = 10.339680920798091958984555538167
absolute error = 7e-30
relative error = 6.7700348333956991815393029906643e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.378
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.6
y[1] (analytic) = 10.339943891220667841250517509523
y[1] (numeric) = 10.339943891220667841250517509531
absolute error = 8e-30
relative error = 7.7369858909897537301490932485584e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.377
Order of pole = 586.6
TOP MAIN SOLVE Loop
memory used=480.6MB, alloc=4.6MB, time=20.60
x[1] = 0.601
y[1] (analytic) = 10.340206965204871503073179068712
y[1] (numeric) = 10.340206965204871503073179068719
absolute error = 7e-30
relative error = 6.7696904167926471816970632843003e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.376
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.602
y[1] (analytic) = 10.34047014275359143954612149664
y[1] (numeric) = 10.340470142753591439546121496647
absolute error = 7e-30
relative error = 6.7695181199333276015919363699535e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.375
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.603
y[1] (analytic) = 10.34073342386971749835578022798
y[1] (numeric) = 10.340733423869717498355780227987
absolute error = 7e-30
relative error = 6.7693457640458682518141082658472e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.374
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.604
y[1] (analytic) = 10.340996808556140880094161679955
y[1] (numeric) = 10.340996808556140880094161679962
absolute error = 7e-30
relative error = 6.7691733491380636712890099650335e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.373
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.605
y[1] (analytic) = 10.341260296815754138571751798381
y[1] (numeric) = 10.341260296815754138571751798387
absolute error = 6e-30
relative error = 5.8020007501866089645558289408953e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.372
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.606
y[1] (analytic) = 10.341523888651451181130616422837
y[1] (numeric) = 10.341523888651451181130616422844
absolute error = 7e-30
relative error = 6.7688283422926072712605127621304e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.371
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.607
y[1] (analytic) = 10.341787584066127268957693572938
y[1] (numeric) = 10.341787584066127268957693572944
absolute error = 6e-30
relative error = 5.8017049288890469922220148284957e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.37
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.608
y[1] (analytic) = 10.342051383062679017398277757735
y[1] (numeric) = 10.342051383062679017398277757741
absolute error = 6e-30
relative error = 5.8015569423937336196341158769674e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.369
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.609
y[1] (analytic) = 10.342315285644004396269696410408
y[1] (numeric) = 10.342315285644004396269696410414
absolute error = 6e-30
relative error = 5.8014089053429845385342022003871e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.368
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.61
y[1] (analytic) = 10.342579291813002730175178550435
y[1] (numeric) = 10.342579291813002730175178550441
absolute error = 6e-30
relative error = 5.8012608177434913625857018940150e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.367
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.611
y[1] (analytic) = 10.342843401572574698817915775551
y[1] (numeric) = 10.342843401572574698817915775557
absolute error = 6e-30
relative error = 5.8011126796019474659227824262687e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.366
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.612
y[1] (analytic) = 10.343107614925622337315315685875
y[1] (numeric) = 10.343107614925622337315315685881
absolute error = 6e-30
relative error = 5.8009644909250479823178224448838e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.365
Order of pole = 586.6
memory used=484.4MB, alloc=4.6MB, time=20.76
TOP MAIN SOLVE Loop
x[1] = 0.613
y[1] (analytic) = 10.343371931875049036513447842667
y[1] (numeric) = 10.343371931875049036513447842673
absolute error = 6e-30
relative error = 5.8008162517194898043487275730006e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.364
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.614
y[1] (analytic) = 10.343636352423759543301682364257
y[1] (numeric) = 10.343636352423759543301682364263
absolute error = 6e-30
relative error = 5.8006679619919715825660903442653e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.363
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.615
y[1] (analytic) = 10.343900876574659960927521261784
y[1] (numeric) = 10.34390087657465996092752126179
absolute error = 6e-30
relative error = 5.8005196217491937246601944260150e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.362
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.616
y[1] (analytic) = 10.344165504330657749311622617457
y[1] (numeric) = 10.344165504330657749311622617463
absolute error = 6e-30
relative error = 5.8003712309978583946278632796115e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.361
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.617
y[1] (analytic) = 10.34443023569466172536301770813
y[1] (numeric) = 10.344430235694661725363017708135
absolute error = 5e-30
relative error = 4.8335189914538912599492945058197e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.36
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.618
y[1] (analytic) = 10.34469507066958206329452117707
y[1] (numeric) = 10.344695070669582063294521177076
absolute error = 6e-30
relative error = 5.8000742979963327507038923324213e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.359
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.619
y[1] (analytic) = 10.344960009258330294938334356899
y[1] (numeric) = 10.344960009258330294938334356904
absolute error = 5e-30
relative error = 4.8332714631329629490317178905402e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.358
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.62
y[1] (analytic) = 10.345225051463819310061841846727
y[1] (numeric) = 10.345225051463819310061841846733
absolute error = 6e-30
relative error = 5.7997771630410470572300240162142e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.357
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.621
y[1] (analytic) = 10.345490197288963356683601446643
y[1] (numeric) = 10.345490197288963356683601446649
absolute error = 6e-30
relative error = 5.7996285198475182389065980452018e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.356
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.622
y[1] (analytic) = 10.345755446736678041389527552747
y[1] (numeric) = 10.345755446736678041389527552753
absolute error = 6e-30
relative error = 5.7994798261856817681989749082702e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.355
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.623
y[1] (analytic) = 10.346020799809880329649268116043
y[1] (numeric) = 10.346020799809880329649268116049
absolute error = 6e-30
relative error = 5.7993310820622520799084831340172e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.354
Order of pole = 586.6
TOP MAIN SOLVE Loop
memory used=488.3MB, alloc=4.6MB, time=20.92
x[1] = 0.624
y[1] (analytic) = 10.346286256511488546132775268568
y[1] (numeric) = 10.346286256511488546132775268574
absolute error = 6e-30
relative error = 5.7991822874839453584721979496482e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.353
Order of pole = 586.6
TOP MAIN SOLVE Loop
x[1] = 0.625
y[1] (analytic) = 10.346551816844422375027069720224
y[1] (numeric) = 10.34655181684442237502706972023
absolute error = 6e-30
relative error = 5.7990334424574795371283965819253e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.352
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.626
y[1] (analytic) = 10.346817480811602860353199029865
y[1] (numeric) = 10.346817480811602860353199029871
absolute error = 6e-30
relative error = 5.7988845469895742970818594853584e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.351
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.627
y[1] (analytic) = 10.347083248415952406283389854275
y[1] (numeric) = 10.347083248415952406283389854282
absolute error = 7e-30
relative error = 6.7651915346014429111138539210212e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.35
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.628
y[1] (analytic) = 10.347349119660394777458394278756
y[1] (numeric) = 10.347349119660394777458394278763
absolute error = 7e-30
relative error = 6.7650177055490551906101037995652e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.349
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.629
y[1] (analytic) = 10.347615094547855099305030333124
y[1] (numeric) = 10.347615094547855099305030333131
absolute error = 7e-30
relative error = 6.7648438176718525918612378843414e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.348
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.63
y[1] (analytic) = 10.347881173081259858353916797012
y[1] (numeric) = 10.347881173081259858353916797019
absolute error = 7e-30
relative error = 6.7646698709776828903747738149234e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.347
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.631
y[1] (analytic) = 10.348147355263536902557402398445
y[1] (numeric) = 10.348147355263536902557402398452
absolute error = 7e-30
relative error = 6.7644958654743958960807166362136e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.346
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.632
y[1] (analytic) = 10.348413641097615441607689509742
y[1] (numeric) = 10.348413641097615441607689509749
absolute error = 7e-30
relative error = 6.7643218011698434523566687042528e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.345
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.633
y[1] (analytic) = 10.348680030586426047255152444896
y[1] (numeric) = 10.348680030586426047255152444902
absolute error = 6e-30
relative error = 5.7978408669187538014737951914166e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.344
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.634
y[1] (analytic) = 10.348946523732900653626850462643
y[1] (numeric) = 10.34894652373290065362685046265
absolute error = 7e-30
relative error = 6.7639734961883597515164064213538e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.343
Order of pole = 586.5
TOP MAIN SOLVE Loop
memory used=492.1MB, alloc=4.6MB, time=21.08
x[1] = 0.635
y[1] (analytic) = 10.349213120539972557545235579553
y[1] (numeric) = 10.34921312053997255754523557956
absolute error = 7e-30
relative error = 6.7637992555271423396168740373671e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.342
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.636
y[1] (analytic) = 10.349479821010576418847055297511
y[1] (numeric) = 10.349479821010576418847055297518
absolute error = 7e-30
relative error = 6.7636249560960871667696864611840e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.341
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.637
y[1] (analytic) = 10.349746625147648260702450350094
y[1] (numeric) = 10.349746625147648260702450350101
absolute error = 7e-30
relative error = 6.7634505979030562289608385324864e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.34
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.638
y[1] (analytic) = 10.350013532954125469934247572394
y[1] (numeric) = 10.350013532954125469934247572401
absolute error = 7e-30
relative error = 6.7632761809559135497708386728043e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.339
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.639
y[1] (analytic) = 10.350280544432946797337447998942
y[1] (numeric) = 10.350280544432946797337447998949
absolute error = 7e-30
relative error = 6.7631017052625251793985726907429e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.338
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.64
y[1] (analytic) = 10.350547659587052357998910294472
y[1] (numeric) = 10.350547659587052357998910294478
absolute error = 6e-30
relative error = 5.7967947178549364517299916577603e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.337
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.641
y[1] (analytic) = 10.350814878419383631617229622334
y[1] (numeric) = 10.350814878419383631617229622341
absolute error = 7e-30
relative error = 6.7627525776684856931366142954883e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.336
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.642
y[1] (analytic) = 10.351082200932883462822812055484
y[1] (numeric) = 10.351082200932883462822812055491
absolute error = 7e-30
relative error = 6.7625779257835768019488732460042e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.335
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.643
y[1] (analytic) = 10.351349627130496061498144635014
y[1] (numeric) = 10.35134962713049606149814463502
absolute error = 6e-30
relative error = 5.7963456130147771431679343447814e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.334
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.644
y[1] (analytic) = 10.351617157015167003098261181319
y[1] (numeric) = 10.351617157015167003098261181326
absolute error = 7e-30
relative error = 6.7622284458773514570202944685060e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.333
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.645
y[1] (analytic) = 10.351884790589843228971403963063
y[1] (numeric) = 10.35188479058984322897140396307
absolute error = 7e-30
relative error = 6.7620536178717893613223587267277e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.332
Order of pole = 586.5
TOP MAIN SOLVE Loop
memory used=495.9MB, alloc=4.6MB, time=21.25
x[1] = 0.646
y[1] (analytic) = 10.352152527857473046679881329172
y[1] (numeric) = 10.352152527857473046679881329179
absolute error = 7e-30
relative error = 6.7618787311751005891162905813939e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.331
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.647
y[1] (analytic) = 10.352420368821006130321121409212
y[1] (numeric) = 10.35242036882100613032112140922
absolute error = 8e-30
relative error = 7.7276614694801912781552571422851e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.329
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.648
y[1] (analytic) = 10.352688313483393520848921987557
y[1] (numeric) = 10.352688313483393520848921987565
absolute error = 8e-30
relative error = 7.7274614648455702227885600218294e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.328
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.649
y[1] (analytic) = 10.352956361847587626394896656847
y[1] (numeric) = 10.352956361847587626394896656855
absolute error = 8e-30
relative error = 7.7272613931624075216399487618342e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.327
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.65
y[1] (analytic) = 10.35322451391654222259011735634
y[1] (numeric) = 10.353224513916542222590117356348
absolute error = 8e-30
relative error = 7.7270612544397183501670906166832e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.326
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.651
y[1] (analytic) = 10.353492769693212452886953400826
y[1] (numeric) = 10.353492769693212452886953400834
absolute error = 8e-30
relative error = 7.7268610486865201865601805470566e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.325
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.652
y[1] (analytic) = 10.353761129180554828881107105865
y[1] (numeric) = 10.353761129180554828881107105872
absolute error = 7e-30
relative error = 6.7608281789228537092957707517214e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.324
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.653
y[1] (analytic) = 10.354029592381527230633846115194
y[1] (numeric) = 10.354029592381527230633846115201
absolute error = 7e-30
relative error = 6.7606528816090935148259281740803e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.323
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.654
y[1] (analytic) = 10.354298159299088906994432536251
y[1] (numeric) = 10.354298159299088906994432536258
absolute error = 7e-30
relative error = 6.7604775256673209120486690880066e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.322
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.655
y[1] (analytic) = 10.354566829936200475922748989818
y[1] (numeric) = 10.354566829936200475922748989825
absolute error = 7e-30
relative error = 6.7603021111054342441582331248336e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.321
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.656
y[1] (analytic) = 10.354835604295823924812121679903
y[1] (numeric) = 10.35483560429582392481212167991
absolute error = 7e-30
relative error = 6.7601266379313338643459336732258e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.32
Order of pole = 586.5
TOP MAIN SOLVE Loop
memory used=499.7MB, alloc=4.6MB, time=21.41
x[1] = 0.657
y[1] (analytic) = 10.355104482380922610812340590046
y[1] (numeric) = 10.355104482380922610812340590053
absolute error = 7e-30
relative error = 6.7599511061529221348208564768997e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.319
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.658
y[1] (analytic) = 10.355373464194461261152876912335
y[1] (numeric) = 10.355373464194461261152876912342
absolute error = 7e-30
relative error = 6.7597755157781034258303840351667e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.318
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.659
y[1] (analytic) = 10.355642549739405973466297815491
y[1] (numeric) = 10.355642549739405973466297815498
absolute error = 7e-30
relative error = 6.7595998668147841146805459796496e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.317
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.66
y[1] (analytic) = 10.355911739018724216111878658478
y[1] (numeric) = 10.355911739018724216111878658485
absolute error = 7e-30
relative error = 6.7594241592708725847561956004994e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.316
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.661
y[1] (analytic) = 10.356181032035384828499412756178
y[1] (numeric) = 10.356181032035384828499412756185
absolute error = 7e-30
relative error = 6.7592483931542792245410126954276e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.315
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.662
y[1] (analytic) = 10.356450428792358021413218803752
y[1] (numeric) = 10.356450428792358021413218803759
absolute error = 7e-30
relative error = 6.7590725684729164266373329148594e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.314
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.663
y[1] (analytic) = 10.356719929292615377336346066405
y[1] (numeric) = 10.356719929292615377336346066412
absolute error = 7e-30
relative error = 6.7588966852346985867858037764873e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.313
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.664
y[1] (analytic) = 10.356989533539129850774977441348
y[1] (numeric) = 10.356989533539129850774977441355
absolute error = 7e-30
relative error = 6.7587207434475421028848675225035e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.312
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.665
y[1] (analytic) = 10.357259241534875768583030498849
y[1] (numeric) = 10.357259241534875768583030498855
absolute error = 6e-30
relative error = 5.7930383512451703205800608509371e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.311
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.666
y[1] (analytic) = 10.357529053282828830286956609337
y[1] (numeric) = 10.357529053282828830286956609343
absolute error = 6e-30
relative error = 5.7928874436497903995141737318050e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.31
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.667
y[1] (analytic) = 10.357798968785966108410738263635
y[1] (numeric) = 10.357798968785966108410738263641
absolute error = 6e-30
relative error = 5.7927364858899726665496490200983e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.309
Order of pole = 586.5
TOP MAIN SOLVE Loop
memory used=503.5MB, alloc=4.6MB, time=21.57
x[1] = 0.668
y[1] (analytic) = 10.358068988047266048801084693449
y[1] (numeric) = 10.358068988047266048801084693455
absolute error = 6e-30
relative error = 5.7925854779725094617330518269379e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.308
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.669
y[1] (analytic) = 10.358339111069708470952825899363
y[1] (numeric) = 10.35833911106970847095282589937
absolute error = 7e-30
relative error = 6.7578401565548939765487228548953e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.307
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.67
y[1] (analytic) = 10.358609337856274568334505193656
y[1] (numeric) = 10.358609337856274568334505193663
absolute error = 7e-30
relative error = 6.7576638636404619814664199697031e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.306
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.671
y[1] (analytic) = 10.358879668409946908714170365345
y[1] (numeric) = 10.358879668409946908714170365352
absolute error = 7e-30
relative error = 6.7574875122325621056423349566463e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.305
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.672
y[1] (analytic) = 10.35915010273370943448536357496
y[1] (numeric) = 10.359150102733709434485363574967
absolute error = 7e-30
relative error = 6.7573111023391267289179290026976e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.304
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.673
y[1] (analytic) = 10.359420640830547462993310086628
y[1] (numeric) = 10.359420640830547462993310086635
absolute error = 7e-30
relative error = 6.7571346339680902244600402370054e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.303
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.674
y[1] (analytic) = 10.35969128270344768686130594514
y[1] (numeric) = 10.359691282703447686861305945147
absolute error = 7e-30
relative error = 6.7569581071273889577786445414366e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.302
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.675
y[1] (analytic) = 10.359962028355398174317304705757
y[1] (numeric) = 10.359962028355398174317304705764
absolute error = 7e-30
relative error = 6.7567815218249612857444451087692e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.301
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.676
y[1] (analytic) = 10.360232877789388369520703324606
y[1] (numeric) = 10.360232877789388369520703324614
absolute error = 8e-30
relative error = 7.7218341463642829206929039104177e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.3
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.677
y[1] (analytic) = 10.360503831008409092889327317601
y[1] (numeric) = 10.360503831008409092889327317608
absolute error = 7e-30
relative error = 6.7564281758666901040084243251483e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.299
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.678
y[1] (analytic) = 10.360774888015452541426615295899
y[1] (numeric) = 10.360774888015452541426615295906
absolute error = 7e-30
relative error = 6.7562514152267332560075578666883e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.298
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.679
y[1] (analytic) = 10.361046048813512289049002986024
y[1] (numeric) = 10.361046048813512289049002986031
absolute error = 7e-30
relative error = 6.7560745961568233240897805751783e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.297
Order of pole = 586.5
memory used=507.3MB, alloc=4.6MB, time=21.74
TOP MAIN SOLVE Loop
x[1] = 0.68
y[1] (analytic) = 10.361317313405583286913506842836
y[1] (numeric) = 10.361317313405583286913506842843
absolute error = 7e-30
relative error = 6.7558977186649086071872938535790e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.296
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.681
y[1] (analytic) = 10.36158868179466186374550736364
y[1] (numeric) = 10.361588681794661863745507363647
absolute error = 7e-30
relative error = 6.7557207827589393896949771571847e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.295
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.682
y[1] (analytic) = 10.361860153983745726166732211813
y[1] (numeric) = 10.361860153983745726166732211821
absolute error = 8e-30
relative error = 7.7206214725107062176991812923973e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.294
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.683
y[1] (analytic) = 10.362131729975833959023439258408
y[1] (numeric) = 10.362131729975833959023439258416
absolute error = 8e-30
relative error = 7.7204191265561697279222467178115e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.293
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.684
y[1] (analytic) = 10.362403409773927025714799650278
y[1] (numeric) = 10.362403409773927025714799650286
absolute error = 8e-30
relative error = 7.7202167138699855301841508971779e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.292
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.685
y[1] (analytic) = 10.36267519338102676852148101338
y[1] (numeric) = 10.362675193381026768521481013388
absolute error = 8e-30
relative error = 7.7200142344612487289510083681795e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.291
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.686
y[1] (analytic) = 10.362947080800136408934430899966
y[1] (numeric) = 10.362947080800136408934430899973
absolute error = 7e-30
relative error = 6.7548352272966746056457762467054e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.29
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.687
y[1] (analytic) = 10.363219072034260547983860588486
y[1] (numeric) = 10.363219072034260547983860588493
absolute error = 7e-30
relative error = 6.7546579410734454188613806287245e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.289
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.688
y[1] (analytic) = 10.363491167086405166568429345115
y[1] (numeric) = 10.363491167086405166568429345122
absolute error = 7e-30
relative error = 6.7544805964918692325621486236033e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.288
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.689
y[1] (analytic) = 10.363763365959577625784629255882
y[1] (numeric) = 10.363763365959577625784629255889
absolute error = 7e-30
relative error = 6.7543031935599121794203799139811e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.287
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.69
y[1] (analytic) = 10.364035668656786667256370738499
y[1] (numeric) = 10.364035668656786667256370738506
absolute error = 7e-30
relative error = 6.7541257322855423687125122438806e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.286
Order of pole = 586.5
TOP MAIN SOLVE Loop
memory used=511.1MB, alloc=4.6MB, time=21.90
x[1] = 0.691
y[1] (analytic) = 10.364308075181042413464768843052
y[1] (numeric) = 10.364308075181042413464768843059
absolute error = 7e-30
relative error = 6.7539482126767298853339944679106e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.285
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.692
y[1] (analytic) = 10.364580585535356368078130450815
y[1] (numeric) = 10.364580585535356368078130450822
absolute error = 7e-30
relative error = 6.7537706347414467888139912883587e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.284
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.693
y[1] (analytic) = 10.364853199722741416282142480544
y[1] (numeric) = 10.364853199722741416282142480551
absolute error = 7e-30
relative error = 6.7535929984876671123299198529749e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.283
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.694
y[1] (analytic) = 10.365125917746211825110261211676
y[1] (numeric) = 10.365125917746211825110261211684
absolute error = 8e-30
relative error = 7.7181889187695621276820781557056e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.282
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.695
y[1] (analytic) = 10.365398739608783243774302833978
y[1] (numeric) = 10.365398739608783243774302833986
absolute error = 8e-30
relative error = 7.7179857726360274451503394593097e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.281
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.696
y[1] (analytic) = 10.365671665313472703995235333241
y[1] (numeric) = 10.365671665313472703995235333249
absolute error = 8e-30
relative error = 7.7177825598801354501620811936616e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.28
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.697
y[1] (analytic) = 10.365944694863298620334171822746
y[1] (numeric) = 10.365944694863298620334171822754
absolute error = 8e-30
relative error = 7.7175792805110083346172304085574e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.279
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.698
y[1] (analytic) = 10.366217828261280790523565430284
y[1] (numeric) = 10.366217828261280790523565430292
absolute error = 8e-30
relative error = 7.7173759345377705403796220301209e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.278
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.699
y[1] (analytic) = 10.366491065510440395798605850622
y[1] (numeric) = 10.36649106551044039579860585063
absolute error = 8e-30
relative error = 7.7171725219695487581496061635408e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.277
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.7
y[1] (analytic) = 10.36676440661380000122881767338
y[1] (numeric) = 10.366764406613800001228817673389
absolute error = 9e-30
relative error = 8.6815901731674059171285226958052e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.276
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.701
y[1] (analytic) = 10.367037851574383556049860596399
y[1] (numeric) = 10.367037851574383556049860596408
absolute error = 9e-30
relative error = 8.6813611842202551336719664613959e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.275
Order of pole = 586.5
TOP MAIN SOLVE Loop
memory used=515.0MB, alloc=4.6MB, time=22.07
x[1] = 0.702
y[1] (analytic) = 10.367311400395216393995531634734
y[1] (numeric) = 10.367311400395216393995531634742
absolute error = 8e-30
relative error = 7.7165618847862800993757555440603e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.274
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.703
y[1] (analytic) = 10.367585053079325233629969435529
y[1] (numeric) = 10.367585053079325233629969435537
absolute error = 8e-30
relative error = 7.7163582059294342094404919492922e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.273
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.704
y[1] (analytic) = 10.36785880962973817868006080911
y[1] (numeric) = 10.367858809629738178680060809118
absolute error = 8e-30
relative error = 7.7161544605232714780902113119379e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.272
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.705
y[1] (analytic) = 10.368132670049484718368049586699
y[1] (numeric) = 10.368132670049484718368049586707
absolute error = 8e-30
relative error = 7.7159506485769320653584384514094e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.271
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.706
y[1] (analytic) = 10.368406634341595727744347915289
y[1] (numeric) = 10.368406634341595727744347915297
absolute error = 8e-30
relative error = 7.7157467700995583722181337696407e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.27
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.707
y[1] (analytic) = 10.36868070250910346802055010026
y[1] (numeric) = 10.368680702509103468020550100268
absolute error = 8e-30
relative error = 7.7155428251002950394527798594540e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.269
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.708
y[1] (analytic) = 10.368954874555041586902649106447
y[1] (numeric) = 10.368954874555041586902649106454
absolute error = 7e-30
relative error = 6.7509214618897528282113690494795e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.268
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.709
y[1] (analytic) = 10.369229150482445118924455828426
y[1] (numeric) = 10.369229150482445118924455828433
absolute error = 7e-30
relative error = 6.7507428936261030591513284907518e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.267
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.71
y[1] (analytic) = 10.369503530294350485781221240913
y[1] (numeric) = 10.36950353029435048578122124092
absolute error = 7e-30
relative error = 6.7505642671798162866007787838767e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.266
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.711
y[1] (analytic) = 10.369778013993795496663461540219
y[1] (numeric) = 10.369778013993795496663461540226
absolute error = 7e-30
relative error = 6.7503855825589019007007942900601e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.265
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.712
y[1] (analytic) = 10.370052601583819348590986387829
y[1] (numeric) = 10.370052601583819348590986387836
absolute error = 7e-30
relative error = 6.7502068397713712464851804094022e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.264
Order of pole = 586.5
TOP MAIN SOLVE Loop
memory used=518.8MB, alloc=4.6MB, time=22.23
x[1] = 0.713
y[1] (analytic) = 10.370327293067462626747130367248
y[1] (numeric) = 10.370327293067462626747130367254
absolute error = 6e-30
relative error = 5.7857383189930608196214431326204e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.263
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.714
y[1] (analytic) = 10.370602088447767304813187765342
y[1] (numeric) = 10.370602088447767304813187765349
absolute error = 7e-30
relative error = 6.7498491797285162817730372109261e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.262
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.715
y[1] (analytic) = 10.370876987727776745303050789517
y[1] (numeric) = 10.370876987727776745303050789524
absolute error = 7e-30
relative error = 6.7496702624892244269078421522872e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.261
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.716
y[1] (analytic) = 10.37115199091053569989805133213
y[1] (numeric) = 10.371151990910535699898051332137
absolute error = 7e-30
relative error = 6.7494912871153812130112844901008e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.26
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.717
y[1] (analytic) = 10.371427097999090309782006393662
y[1] (numeric) = 10.371427097999090309782006393669
absolute error = 7e-30
relative error = 6.7493122536150077447456882230174e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.259
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.718
y[1] (analytic) = 10.371702308996488105976467276241
y[1] (numeric) = 10.371702308996488105976467276248
absolute error = 7e-30
relative error = 6.7491331619961270757309045624493e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.258
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.719
y[1] (analytic) = 10.371977623905778009676172659201
y[1] (numeric) = 10.371977623905778009676172659209
absolute error = 8e-30
relative error = 7.7130902997334448086337571490050e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.257
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.72
y[1] (analytic) = 10.372253042730010332584705668474
y[1] (numeric) = 10.372253042730010332584705668482
absolute error = 8e-30
relative error = 7.7128854907827955300365782021459e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.256
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.721
y[1] (analytic) = 10.372528565472236777250355051665
y[1] (numeric) = 10.372528565472236777250355051672
absolute error = 7e-30
relative error = 6.7485955385087016139664423646402e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.255
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.722
y[1] (analytic) = 10.372804192135510437402180570792
y[1] (numeric) = 10.372804192135510437402180570799
absolute error = 7e-30
relative error = 6.7484162144960616226584286678152e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.254
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.723
y[1] (analytic) = 10.373079922722885798286282724741
y[1] (numeric) = 10.373079922722885798286282724748
absolute error = 7e-30
relative error = 6.7482368324050588984155686823796e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.253
Order of pole = 586.5
TOP MAIN SOLVE Loop
memory used=522.6MB, alloc=4.6MB, time=22.40
x[1] = 0.724
y[1] (analytic) = 10.373355757237418737002276913572
y[1] (numeric) = 10.373355757237418737002276913579
absolute error = 7e-30
relative error = 6.7480573922437281678118981453116e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.252
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.725
y[1] (analytic) = 10.373631695682166522839972156928
y[1] (numeric) = 10.373631695682166522839972156935
absolute error = 7e-30
relative error = 6.7478778940201060994471319597724e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.251
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.726
y[1] (analytic) = 10.373907738060187817616254478869
y[1] (numeric) = 10.373907738060187817616254478875
absolute error = 6e-30
relative error = 5.7837414323504839739620705915717e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.25
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.727
y[1] (analytic) = 10.374183884374542676012175071544
y[1] (numeric) = 10.374183884374542676012175071551
absolute error = 7e-30
relative error = 6.7475187234181443280159147826060e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.249
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.728
y[1] (analytic) = 10.374460134628292545910243350238
y[1] (numeric) = 10.374460134628292545910243350244
absolute error = 6e-30
relative error = 5.7834334723336179971642071567835e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.248
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.729
y[1] (analytic) = 10.374736488824500268731925012361
y[1] (numeric) = 10.374736488824500268731925012368
absolute error = 7e-30
relative error = 6.7471593206635057357743876910174e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.247
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.73
y[1] (analytic) = 10.375012946966230079775345213116
y[1] (numeric) = 10.375012946966230079775345213123
absolute error = 7e-30
relative error = 6.7469795322490449091254930571400e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.246
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.731
y[1] (analytic) = 10.375289509056547608553196970597
y[1] (numeric) = 10.375289509056547608553196970604
absolute error = 7e-30
relative error = 6.7467996858205534833504554919365e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.245
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.732
y[1] (analytic) = 10.375566175098519879130854913225
y[1] (numeric) = 10.375566175098519879130854913232
absolute error = 7e-30
relative error = 6.7466197813860816934740439292914e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.244
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.733
y[1] (analytic) = 10.375842945095215310464694482477
y[1] (numeric) = 10.375842945095215310464694482484
absolute error = 7e-30
relative error = 6.7464398189536817086148510471929e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.243
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.734
y[1] (analytic) = 10.37611981904970371674061670398
y[1] (numeric) = 10.376119819049703716740616703987
absolute error = 7e-30
relative error = 6.7462597985314076309930847187191e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.242
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.735
y[1] (analytic) = 10.376396796965056307712778640123
y[1] (numeric) = 10.37639679696505630771277864013
memory used=526.4MB, alloc=4.6MB, time=22.56
absolute error = 7e-30
relative error = 6.7460797201273154949381985651619e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.241
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.736
y[1] (analytic) = 10.376673878844345689042529637441
y[1] (numeric) = 10.376673878844345689042529637448
absolute error = 7e-30
relative error = 6.7458995837494632658963617832865e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.24
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.737
y[1] (analytic) = 10.376951064690645862637553482103
y[1] (numeric) = 10.376951064690645862637553482109
absolute error = 6e-30
relative error = 5.7820451909193521480895157874721e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.239
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.738
y[1] (analytic) = 10.377228354507032226991216576946
y[1] (numeric) = 10.377228354507032226991216576952
absolute error = 6e-30
relative error = 5.7818906889469028916546739349188e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.238
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.739
y[1] (analytic) = 10.377505748296581577522122253581
y[1] (numeric) = 10.377505748296581577522122253588
absolute error = 7e-30
relative error = 6.7453588268539546212139455071169e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.237
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.74
y[1] (analytic) = 10.377783246062372106913871333185
y[1] (numeric) = 10.377783246062372106913871333192
absolute error = 7e-30
relative error = 6.7451784586616802622727674408739e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.236
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.741
y[1] (analytic) = 10.37806084780748340545502904969
y[1] (numeric) = 10.378060847807483405455029049697
absolute error = 7e-30
relative error = 6.7449980325359645695764331742401e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.235
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.742
y[1] (analytic) = 10.378338553534996461379298449182
y[1] (numeric) = 10.378338553534996461379298449189
absolute error = 7e-30
relative error = 6.7448175484848770744192927483322e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.234
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.743
y[1] (analytic) = 10.378616363247993661205900379402
y[1] (numeric) = 10.378616363247993661205900379409
absolute error = 7e-30
relative error = 6.7446370065164892322602146904169e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.233
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.744
y[1] (analytic) = 10.378894276949558790080160183332
y[1] (numeric) = 10.37889427694955879008016018334
absolute error = 8e-30
relative error = 7.7079501790158564819757442559286e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.232
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.745
y[1] (analytic) = 10.379172294642777032114301210969
y[1] (numeric) = 10.379172294642777032114301210976
absolute error = 7e-30
relative error = 6.7442757488601079436312942997755e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.231
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.746
y[1] (analytic) = 10.379450416330734970728445263436
y[1] (numeric) = 10.379450416330734970728445263443
absolute error = 7e-30
relative error = 6.7440950331882670199566976205606e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.23
Order of pole = 586.5
memory used=530.2MB, alloc=4.6MB, time=22.73
TOP MAIN SOLVE Loop
x[1] = 0.747
y[1] (analytic) = 10.379728642016520588991820083731
y[1] (numeric) = 10.379728642016520588991820083738
absolute error = 7e-30
relative error = 6.7439142596314307928822398297874e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.229
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.748
y[1] (analytic) = 10.380006971703223269964174008448
y[1] (numeric) = 10.380006971703223269964174008455
absolute error = 7e-30
relative error = 6.7437334281976803237790540375086e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.228
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.749
y[1] (analytic) = 10.380285405393933797037397894949
y[1] (numeric) = 10.380285405393933797037397894955
absolute error = 6e-30
relative error = 5.7801878904815130790436133037089e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.227
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.75
y[1] (analytic) = 10.380563943091744354277354438517
y[1] (numeric) = 10.380563943091744354277354438524
absolute error = 7e-30
relative error = 6.7433715917317704949726461054108e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.226
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.751
y[1] (analytic) = 10.380842584799748526765914994158
y[1] (numeric) = 10.380842584799748526765914994164
absolute error = 6e-30
relative error = 5.7798776457563852957390231967476e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.225
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.752
y[1] (analytic) = 10.381121330521041300943204017757
y[1] (numeric) = 10.381121330521041300943204017763
absolute error = 6e-30
relative error = 5.7797224490187637462159034584604e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.224
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.753
y[1] (analytic) = 10.381400180258719064950051241454
y[1] (numeric) = 10.38140018025871906495005124146
absolute error = 6e-30
relative error = 5.7795672027070163263371721283380e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.223
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.754
y[1] (analytic) = 10.381679134015879608970651698135
y[1] (numeric) = 10.38167913401587960897065169814
absolute error = 5e-30
relative error = 4.8161765890233995936396372666946e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.222
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.755
y[1] (analytic) = 10.381958191795622125575433710068
y[1] (numeric) = 10.381958191795622125575433710074
absolute error = 6e-30
relative error = 5.7792565613888914196246735986079e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.221
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.756
y[1] (analytic) = 10.382237353601047210064134956809
y[1] (numeric) = 10.382237353601047210064134956814
absolute error = 5e-30
relative error = 4.8159176386636598346879028877294e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.22
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.757
y[1] (analytic) = 10.382516619435256860809086737553
y[1] (numeric) = 10.382516619435256860809086737558
absolute error = 5e-30
relative error = 4.8157881015479350410273101408970e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.219
Order of pole = 586.5
TOP MAIN SOLVE Loop
memory used=534.0MB, alloc=4.6MB, time=22.89
x[1] = 0.758
y[1] (analytic) = 10.382795989301354479598706543267
y[1] (numeric) = 10.382795989301354479598706543272
absolute error = 5e-30
relative error = 4.8156585231493543248344808270800e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.218
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.759
y[1] (analytic) = 10.383075463202444871981199053968
y[1] (numeric) = 10.383075463202444871981199053973
absolute error = 5e-30
relative error = 4.8155289034737049052702721317125e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.217
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.76
y[1] (analytic) = 10.383355041141634247608465676656
y[1] (numeric) = 10.383355041141634247608465676661
absolute error = 5e-30
relative error = 4.8153992425267753638156987523870e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.216
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.761
y[1] (analytic) = 10.383634723122030220580222739477
y[1] (numeric) = 10.383634723122030220580222739482
absolute error = 5e-30
relative error = 4.8152695403143556435601525567702e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.215
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.762
y[1] (analytic) = 10.383914509146741809788328457791
y[1] (numeric) = 10.383914509146741809788328457796
absolute error = 5e-30
relative error = 4.8151397968422370484895106254389e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.214
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.763
y[1] (analytic) = 10.384194399218879439261318787923
y[1] (numeric) = 10.384194399218879439261318787928
absolute error = 5e-30
relative error = 4.8150100121162122427741318020845e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.213
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.764
y[1] (analytic) = 10.384474393341554938509152284459
y[1] (numeric) = 10.384474393341554938509152284464
absolute error = 5e-30
relative error = 4.8148801861420752500567418735225e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.212
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.765
y[1] (analytic) = 10.384754491517881542868164077055
y[1] (numeric) = 10.38475449151788154286816407706
absolute error = 5e-30
relative error = 4.8147503189256214527402075019230e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.211
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.766
y[1] (analytic) = 10.385034693750973893846229082803
y[1] (numeric) = 10.385034693750973893846229082808
absolute error = 5e-30
relative error = 4.8146204104726475912751990316691e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.21
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.767
y[1] (analytic) = 10.38531500004394803946813457032
y[1] (numeric) = 10.385315000043948039468134570326
absolute error = 6e-30
relative error = 5.7773885529467421161372907518695e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.209
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.768
y[1] (analytic) = 10.385595410399921434621162191796
y[1] (numeric) = 10.385595410399921434621162191802
absolute error = 6e-30
relative error = 5.7772325638564001083999914316603e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.208
Order of pole = 586.5
TOP MAIN SOLVE Loop
memory used=537.8MB, alloc=4.6MB, time=23.05
x[1] = 0.769
y[1] (analytic) = 10.385875924822012941400879599338
y[1] (numeric) = 10.385875924822012941400879599344
absolute error = 6e-30
relative error = 5.7770765253031120587010794543135e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.207
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.77
y[1] (analytic) = 10.386156543313342829457141762065
y[1] (numeric) = 10.386156543313342829457141762071
absolute error = 6e-30
relative error = 5.7769204372938405656601087208230e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.206
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.771
y[1] (analytic) = 10.38643726587703277634030210046
y[1] (numeric) = 10.386437265877032776340302100465
absolute error = 5e-30
relative error = 4.8139702498629582110649827289933e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.205
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.772
y[1] (analytic) = 10.386718092516205867847633554622
y[1] (numeric) = 10.386718092516205867847633554628
absolute error = 6e-30
relative error = 5.7766081129352057700813356514275e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.204
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.773
y[1] (analytic) = 10.386999023233986598369959703144
y[1] (numeric) = 10.386999023233986598369959703149
absolute error = 5e-30
relative error = 4.8137098971664798235556940864337e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.203
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.774
y[1] (analytic) = 10.387280058033500871238496049407
y[1] (numeric) = 10.387280058033500871238496049412
absolute error = 5e-30
relative error = 4.8135796590301908357043920437948e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.202
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.775
y[1] (analytic) = 10.387561196917875999071901592241
y[1] (numeric) = 10.387561196917875999071901592246
absolute error = 5e-30
relative error = 4.8134493797096134423213282561876e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.201
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.776
y[1] (analytic) = 10.387842439890240704123540797927
y[1] (numeric) = 10.387842439890240704123540797932
absolute error = 5e-30
relative error = 4.8133190592105579251323041704104e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.2
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.777
y[1] (analytic) = 10.388123786953725118628956090666
y[1] (numeric) = 10.388123786953725118628956090672
absolute error = 6e-30
relative error = 5.7758264370466030992814998085958e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.199
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.778
y[1] (analytic) = 10.388405238111460785153550978706
y[1] (numeric) = 10.388405238111460785153550978711
absolute error = 5e-30
relative error = 4.8130582947002603965498961049267e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.198
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.779
y[1] (analytic) = 10.388686793366580656940483933415
y[1] (numeric) = 10.388686793366580656940483933421
absolute error = 6e-30
relative error = 5.7755134208407748361328046738716e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.197
Order of pole = 586.5
TOP MAIN SOLVE Loop
memory used=541.7MB, alloc=4.6MB, time=23.22
x[1] = 0.78
y[1] (analytic) = 10.388968452722219098258773138717
y[1] (numeric) = 10.388968452722219098258773138723
absolute error = 6e-30
relative error = 5.7753568386549689940153809549344e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.196
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.781
y[1] (analytic) = 10.38925021618151188475161222834
y[1] (numeric) = 10.389250216181511884751612228346
absolute error = 6e-30
relative error = 5.7752002070898753802420899808316e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.195
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.782
y[1] (analytic) = 10.389532083747596203784897128498
y[1] (numeric) = 10.389532083747596203784897128504
absolute error = 6e-30
relative error = 5.7750435261524760415098919938232e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.194
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.783
y[1] (analytic) = 10.389814055423610654795964123656
y[1] (numeric) = 10.389814055423610654795964123663
absolute error = 7e-30
relative error = 6.7373679284913804128913679534549e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.193
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.784
y[1] (analytic) = 10.390096131212695249642539263179
y[1] (numeric) = 10.390096131212695249642539263186
absolute error = 7e-30
relative error = 6.7371850188868125257309896788564e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.192
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.785
y[1] (analytic) = 10.390378311117991412951899226711
y[1] (numeric) = 10.390378311117991412951899226718
absolute error = 7e-30
relative error = 6.7370020517056697579622328703757e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.191
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.786
y[1] (analytic) = 10.39066059514264198247024376628
y[1] (numeric) = 10.390660595142641982470243766287
absolute error = 7e-30
relative error = 6.7368190269561053618893344819331e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.19
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.787
y[1] (analytic) = 10.39094298328979120941227984317
y[1] (numeric) = 10.390942983289791209412279843177
absolute error = 7e-30
relative error = 6.7366359446462744701051084415531e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.189
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.788
y[1] (analytic) = 10.391225475562584758811017577738
y[1] (numeric) = 10.391225475562584758811017577746
absolute error = 8e-30
relative error = 7.6988032054678103937031934037298e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.188
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.789
y[1] (analytic) = 10.391508071964169709867778130429
y[1] (numeric) = 10.391508071964169709867778130437
absolute error = 8e-30
relative error = 7.6985938370039350002431472097110e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.187
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.79
y[1] (analytic) = 10.391790772497694556302413632339
y[1] (numeric) = 10.391790772497694556302413632346
absolute error = 7e-30
relative error = 6.7360863524367623297265171028060e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.186
Order of pole = 586.5
TOP MAIN SOLVE Loop
memory used=545.5MB, alloc=4.6MB, time=23.39
x[1] = 0.791
y[1] (analytic) = 10.392073577166309206703739283783
y[1] (numeric) = 10.392073577166309206703739283791
absolute error = 8e-30
relative error = 7.6981749028199478305950584613327e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.185
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.792
y[1] (analytic) = 10.392356485973164984880177739425
y[1] (numeric) = 10.392356485973164984880177739433
absolute error = 8e-30
relative error = 7.6979653371184956689921464744273e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.184
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.793
y[1] (analytic) = 10.392639498921414630210615898592
y[1] (numeric) = 10.3926394989214146302106158986
absolute error = 8e-30
relative error = 7.6977557056898477700847629543241e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.183
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.794
y[1] (analytic) = 10.392922616014212297995474219545
y[1] (numeric) = 10.392922616014212297995474219553
absolute error = 8e-30
relative error = 7.6975460085433392956856313149413e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.182
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.795
y[1] (analytic) = 10.393205837254713559807988676519
y[1] (numeric) = 10.393205837254713559807988676527
absolute error = 8e-30
relative error = 7.6973362456883075473550512202803e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.181
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.796
y[1] (analytic) = 10.393489162646075403845705478494
y[1] (numeric) = 10.393489162646075403845705478502
absolute error = 8e-30
relative error = 7.6971264171340919652559159948520e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.18
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.797
y[1] (analytic) = 10.39377259219145623528218866871
y[1] (numeric) = 10.393772592191456235282188668718
absolute error = 8e-30
relative error = 7.6969165228900341270085582915604e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.179
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.798
y[1] (analytic) = 10.394056125894015876618940724073
y[1] (numeric) = 10.394056125894015876618940724082
absolute error = 9e-30
relative error = 8.6587948833361624648636022385154e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.178
Order of pole = 586.5
TOP MAIN SOLVE Loop
x[1] = 0.799
y[1] (analytic) = 10.39433976375691556803753627368
y[1] (numeric) = 10.394339763756915568037536273688
absolute error = 8e-30
relative error = 7.6964965373697686729655760742203e-29 %
Correct digits = 30
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 7.177
Order of pole = 586.5
Finished!
diff ( y , x , 1 ) = arcsin (0.1 * x + 0.2) ;
Iterations = 1600
Total Elapsed Time = 23 Seconds
Elapsed Time(since restart) = 23 Seconds
Time to Timeout = 2 Minutes 36 Seconds
Percent Done = 100.1 %
> quit
memory used=548.3MB, alloc=4.6MB, time=23.50