|\^/| 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_2D0,
> array_const_6D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_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_2D0, array_const_6D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6,
array_tmp7, array_tmp8, array_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_2D0,
> array_const_6D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_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_2D0, array_const_6D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6,
array_tmp7, array_tmp8, array_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_2D0,
> array_const_6D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_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_2D0, array_const_6D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6,
array_tmp7, array_tmp8, array_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_2D0,
> array_const_6D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_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_2D0, array_const_6D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6,
array_tmp7, array_tmp8, array_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_2D0,
> array_const_6D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_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_2D0, array_const_6D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6,
array_tmp7, array_tmp8, array_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_2D0,
> array_const_6D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_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_2D0, array_const_6D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6,
array_tmp7, array_tmp8, array_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_2D0,
> array_const_6D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_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_2D0, array_const_6D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6,
array_tmp7, array_tmp8, array_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_2D0,
> array_const_6D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_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_2D0, array_const_6D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6,
array_tmp7, array_tmp8, array_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_2D0,
> array_const_6D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local kkk, order_d, adj2, adj3 , temporary, term;
> #TOP ATOMALL
> #END OUTFILE1
> #BEGIN ATOMHDR1
> #emit pre mult FULL CONST $eq_no = 1 i = 1
> array_tmp1[1] := array_m1[1] * array_const_2D0[1];
> #emit pre sub LINEAR - CONST $eq_no = 1 i = 1
> array_tmp2[1] := array_x[1] - array_const_6D0[1];
> #emit pre div FULL - LINEAR $eq_no = 1 i = 1
> array_tmp3[1] := array_tmp1[1] / array_tmp2[1];
> #emit pre sub LINEAR - CONST $eq_no = 1 i = 1
> array_tmp4[1] := array_x[1] - array_const_6D0[1];
> #emit pre div FULL - LINEAR $eq_no = 1 i = 1
> array_tmp5[1] := array_tmp3[1] / array_tmp4[1];
> #emit pre sub LINEAR - CONST $eq_no = 1 i = 1
> array_tmp6[1] := array_x[1] - array_const_6D0[1];
> #emit pre div FULL - LINEAR $eq_no = 1 i = 1
> array_tmp7[1] := array_tmp5[1] / array_tmp6[1];
> #emit pre add CONST FULL $eq_no = 1 i = 1
> array_tmp8[1] := array_const_0D0[1] + array_tmp7[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_tmp8[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 FULL CONST $eq_no = 1 i = 2
> array_tmp1[2] := array_m1[2] * array_const_2D0[1];
> #emit pre sub LINEAR - CONST $eq_no = 1 i = 2
> array_tmp2[2] := array_x[2];
> #emit pre div FULL - LINEAR $eq_no = 1 i = 2
> array_tmp3[2] := (array_tmp1[2] - array_tmp3[1] * array_tmp2[2]) / array_tmp2[1];
> #emit pre sub LINEAR - CONST $eq_no = 1 i = 2
> array_tmp4[2] := array_x[2];
> #emit pre div FULL - LINEAR $eq_no = 1 i = 2
> array_tmp5[2] := (array_tmp3[2] - array_tmp5[1] * array_tmp4[2]) / array_tmp4[1];
> #emit pre sub LINEAR - CONST $eq_no = 1 i = 2
> array_tmp6[2] := array_x[2];
> #emit pre div FULL - LINEAR $eq_no = 1 i = 2
> array_tmp7[2] := (array_tmp5[2] - array_tmp7[1] * array_tmp6[2]) / array_tmp6[1];
> #emit pre add CONST FULL $eq_no = 1 i = 2
> array_tmp8[2] := array_tmp7[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_tmp8[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 mult FULL CONST $eq_no = 1 i = 3
> array_tmp1[3] := array_m1[3] * array_const_2D0[1];
> #emit pre div FULL - LINEAR $eq_no = 1 i = 3
> array_tmp3[3] := (array_tmp1[3] - array_tmp3[2] * array_tmp2[2]) / array_tmp2[1];
> #emit pre div FULL - LINEAR $eq_no = 1 i = 3
> array_tmp5[3] := (array_tmp3[3] - array_tmp5[2] * array_tmp4[2]) / array_tmp4[1];
> #emit pre div FULL - LINEAR $eq_no = 1 i = 3
> array_tmp7[3] := (array_tmp5[3] - array_tmp7[2] * array_tmp6[2]) / array_tmp6[1];
> #emit pre add CONST FULL $eq_no = 1 i = 3
> array_tmp8[3] := array_tmp7[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_tmp8[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 mult FULL CONST $eq_no = 1 i = 4
> array_tmp1[4] := array_m1[4] * array_const_2D0[1];
> #emit pre div FULL - LINEAR $eq_no = 1 i = 4
> array_tmp3[4] := (array_tmp1[4] - array_tmp3[3] * array_tmp2[2]) / array_tmp2[1];
> #emit pre div FULL - LINEAR $eq_no = 1 i = 4
> array_tmp5[4] := (array_tmp3[4] - array_tmp5[3] * array_tmp4[2]) / array_tmp4[1];
> #emit pre div FULL - LINEAR $eq_no = 1 i = 4
> array_tmp7[4] := (array_tmp5[4] - array_tmp7[3] * array_tmp6[2]) / array_tmp6[1];
> #emit pre add CONST FULL $eq_no = 1 i = 4
> array_tmp8[4] := array_tmp7[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_tmp8[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 mult FULL CONST $eq_no = 1 i = 5
> array_tmp1[5] := array_m1[5] * array_const_2D0[1];
> #emit pre div FULL - LINEAR $eq_no = 1 i = 5
> array_tmp3[5] := (array_tmp1[5] - array_tmp3[4] * array_tmp2[2]) / array_tmp2[1];
> #emit pre div FULL - LINEAR $eq_no = 1 i = 5
> array_tmp5[5] := (array_tmp3[5] - array_tmp5[4] * array_tmp4[2]) / array_tmp4[1];
> #emit pre div FULL - LINEAR $eq_no = 1 i = 5
> array_tmp7[5] := (array_tmp5[5] - array_tmp7[4] * array_tmp6[2]) / array_tmp6[1];
> #emit pre add CONST FULL $eq_no = 1 i = 5
> array_tmp8[5] := array_tmp7[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_tmp8[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 mult FULL CONST $eq_no = 1 i = 1
> array_tmp1[kkk] := array_m1[kkk] * array_const_2D0[1];
> #emit div FULL LINEAR $eq_no = 1 i = 1
> array_tmp3[kkk] := -ats(kkk,array_tmp2,array_tmp3,2) / array_tmp2[1];
> #emit div FULL LINEAR $eq_no = 1 i = 1
> array_tmp5[kkk] := -ats(kkk,array_tmp4,array_tmp5,2) / array_tmp4[1];
> #emit div FULL LINEAR $eq_no = 1 i = 1
> array_tmp7[kkk] := -ats(kkk,array_tmp6,array_tmp7,2) / array_tmp6[1];
> #emit NOT FULL - FULL add $eq_no = 1
> array_tmp8[kkk] := array_tmp7[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_tmp8[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_2D0, array_const_6D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6,
array_tmp7, array_tmp8, array_m1, array_y_higher, array_y_higher_work,
array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole,
array_complex_pole, array_fact_2, glob_last;
array_tmp1[1] := array_m1[1]*array_const_2D0[1];
array_tmp2[1] := array_x[1] - array_const_6D0[1];
array_tmp3[1] := array_tmp1[1]/array_tmp2[1];
array_tmp4[1] := array_x[1] - array_const_6D0[1];
array_tmp5[1] := array_tmp3[1]/array_tmp4[1];
array_tmp6[1] := array_x[1] - array_const_6D0[1];
array_tmp7[1] := array_tmp5[1]/array_tmp6[1];
array_tmp8[1] := array_const_0D0[1] + array_tmp7[1];
if not array_y_set_initial[1, 2] then
if 1 <= glob_max_terms then
temporary := array_tmp8[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_m1[2]*array_const_2D0[1];
array_tmp2[2] := array_x[2];
array_tmp3[2] :=
(array_tmp1[2] - array_tmp3[1]*array_tmp2[2])/array_tmp2[1];
array_tmp4[2] := array_x[2];
array_tmp5[2] :=
(array_tmp3[2] - array_tmp5[1]*array_tmp4[2])/array_tmp4[1];
array_tmp6[2] := array_x[2];
array_tmp7[2] :=
(array_tmp5[2] - array_tmp7[1]*array_tmp6[2])/array_tmp6[1];
array_tmp8[2] := array_tmp7[2];
if not array_y_set_initial[1, 3] then
if 2 <= glob_max_terms then
temporary := array_tmp8[2]*expt(glob_h, 1)*factorial_3(1, 2);
array_y[3] := temporary;
array_y_higher[1, 3] := temporary;
temporary := temporary*2.0/glob_h;
array_y_higher[2, 2] := temporary
end if
end if;
kkk := 3;
array_tmp1[3] := array_m1[3]*array_const_2D0[1];
array_tmp3[3] :=
(array_tmp1[3] - array_tmp3[2]*array_tmp2[2])/array_tmp2[1];
array_tmp5[3] :=
(array_tmp3[3] - array_tmp5[2]*array_tmp4[2])/array_tmp4[1];
array_tmp7[3] :=
(array_tmp5[3] - array_tmp7[2]*array_tmp6[2])/array_tmp6[1];
array_tmp8[3] := array_tmp7[3];
if not array_y_set_initial[1, 4] then
if 3 <= glob_max_terms then
temporary := array_tmp8[3]*expt(glob_h, 1)*factorial_3(2, 3);
array_y[4] := temporary;
array_y_higher[1, 4] := temporary;
temporary := temporary*3.0/glob_h;
array_y_higher[2, 3] := temporary
end if
end if;
kkk := 4;
array_tmp1[4] := array_m1[4]*array_const_2D0[1];
array_tmp3[4] :=
(array_tmp1[4] - array_tmp3[3]*array_tmp2[2])/array_tmp2[1];
array_tmp5[4] :=
(array_tmp3[4] - array_tmp5[3]*array_tmp4[2])/array_tmp4[1];
array_tmp7[4] :=
(array_tmp5[4] - array_tmp7[3]*array_tmp6[2])/array_tmp6[1];
array_tmp8[4] := array_tmp7[4];
if not array_y_set_initial[1, 5] then
if 4 <= glob_max_terms then
temporary := array_tmp8[4]*expt(glob_h, 1)*factorial_3(3, 4);
array_y[5] := temporary;
array_y_higher[1, 5] := temporary;
temporary := temporary*4.0/glob_h;
array_y_higher[2, 4] := temporary
end if
end if;
kkk := 5;
array_tmp1[5] := array_m1[5]*array_const_2D0[1];
array_tmp3[5] :=
(array_tmp1[5] - array_tmp3[4]*array_tmp2[2])/array_tmp2[1];
array_tmp5[5] :=
(array_tmp3[5] - array_tmp5[4]*array_tmp4[2])/array_tmp4[1];
array_tmp7[5] :=
(array_tmp5[5] - array_tmp7[4]*array_tmp6[2])/array_tmp6[1];
array_tmp8[5] := array_tmp7[5];
if not array_y_set_initial[1, 6] then
if 5 <= glob_max_terms then
temporary := array_tmp8[5]*expt(glob_h, 1)*factorial_3(4, 5);
array_y[6] := temporary;
array_y_higher[1, 6] := temporary;
temporary := temporary*5.0/glob_h;
array_y_higher[2, 5] := temporary
end if
end if;
kkk := 6;
while kkk <= glob_max_terms do
array_tmp1[kkk] := array_m1[kkk]*array_const_2D0[1];
array_tmp3[kkk] :=
-ats(kkk, array_tmp2, array_tmp3, 2)/array_tmp2[1];
array_tmp5[kkk] :=
-ats(kkk, array_tmp4, array_tmp5, 2)/array_tmp4[1];
array_tmp7[kkk] :=
-ats(kkk, array_tmp6, array_tmp7, 2)/array_tmp6[1];
array_tmp8[kkk] := array_tmp7[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_tmp8[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(1.0/ ( x - 6.0 ) / ( x - 6.0 ));
> end;
exact_soln_y := proc(x) return 1.0/((x - 6.0)*(x - 6.0)) end proc
> #END USER DEF BLOCK
> #END USER DEF BLOCK
> #END OUTFILE5
> # Begin Function number 2
> main := proc()
> #BEGIN OUTFIEMAIN
> local d1,d2,d3,d4,est_err_2,niii,done_once,
> term,ord,order_diff,term_no,html_log_file,iiif,jjjf,
> rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter,
> x_start,x_end
> ,it, 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_2D0,
> array_const_6D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_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/sing6postode.ode#################");
> omniout_str(ALWAYS,"diff ( y , x , 1 ) = m1 * 2.0 / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0) ;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"Digits:=64;");
> omniout_str(ALWAYS,"max_terms:=40;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#END FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"x_start := 2.0;");
> omniout_str(ALWAYS,"x_end := 3.0;");
> omniout_str(ALWAYS,"array_y_init[0 + 1] := exact_soln_y(x_start);");
> omniout_str(ALWAYS,"glob_look_poles := true;");
> omniout_str(ALWAYS,"glob_max_iter := 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(1.0/ ( x - 6.0 ) / ( x - 6.0 ));");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"");
> omniout_str(ALWAYS,"");
> omniout_str(ALWAYS,"#END USER DEF BLOCK");
> omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################");
> glob_unchanged_h_cnt := 0;
> glob_warned := false;
> glob_warned2 := false;
> glob_small_float := 1.0e-200;
> glob_smallish_float := 1.0e-64;
> glob_large_float := 1.0e100;
> glob_almost_1 := 0.99;
> #BEGIN FIRST INPUT BLOCK
> #BEGIN FIRST INPUT BLOCK
> Digits:=64;
> max_terms:=40;
> #END FIRST INPUT BLOCK
> #START OF INITS AFTER INPUT BLOCK
> glob_max_terms := max_terms;
> glob_html_log := true;
> #END OF INITS AFTER INPUT BLOCK
> array_y_init:= Array(0..(max_terms + 1),[]);
> array_norms:= Array(0..(max_terms + 1),[]);
> array_fact_1:= Array(0..(max_terms + 1),[]);
> array_pole:= Array(0..(max_terms + 1),[]);
> array_1st_rel_error:= Array(0..(max_terms + 1),[]);
> array_last_rel_error:= Array(0..(max_terms + 1),[]);
> array_type_pole:= Array(0..(max_terms + 1),[]);
> array_y:= Array(0..(max_terms + 1),[]);
> array_x:= Array(0..(max_terms + 1),[]);
> array_tmp0:= Array(0..(max_terms + 1),[]);
> array_tmp1:= Array(0..(max_terms + 1),[]);
> array_tmp2:= Array(0..(max_terms + 1),[]);
> array_tmp3:= Array(0..(max_terms + 1),[]);
> array_tmp4:= Array(0..(max_terms + 1),[]);
> array_tmp5:= Array(0..(max_terms + 1),[]);
> array_tmp6:= Array(0..(max_terms + 1),[]);
> array_tmp7:= Array(0..(max_terms + 1),[]);
> array_tmp8:= Array(0..(max_terms + 1),[]);
> array_m1:= Array(0..(max_terms + 1),[]);
> array_y_higher := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_higher_work := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_higher_work2 := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_set_initial := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_poles := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_real_pole := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_complex_pole := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_fact_2 := Array(0..(max_terms+ 1) ,(0..max_terms+ 1),[]);
> term := 1;
> while (term <= max_terms) do # do number 2
> array_y_init[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_norms[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_fact_1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_1st_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_last_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_type_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_y[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp5[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp6[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp7[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp8[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_higher[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_higher_work[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_higher_work2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_set_initial[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=1) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_poles[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=1) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_real_pole[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=1) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_complex_pole[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=max_terms) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_fact_2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> #BEGIN ARRAYS DEFINED AND INITIALIZATED
> array_y := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_y[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_x := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp3 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp4 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp5 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp5[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp6 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp6[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp7 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp7[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp8 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp8[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_1[1] := 1;
> array_const_0D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_0D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_0D0[1] := 0.0;
> array_const_2D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_2D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_2D0[1] := 2.0;
> array_const_6D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_6D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_6D0[1] := 6.0;
> array_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_m1[1] := -1.0;
> #END ARRAYS DEFINED AND INITIALIZATED
> #Initing Factorial Tables
> iiif := 0;
> while (iiif <= glob_max_terms) do # do number 2
> jjjf := 0;
> while (jjjf <= glob_max_terms) do # do number 3
> array_fact_1[iiif] := 0;
> array_fact_2[iiif,jjjf] := 0;
> jjjf := jjjf + 1;
> od;# end do number 3;
> iiif := iiif + 1;
> od;# end do number 2;
> #Done Initing Factorial Tables
> #TOP SECOND INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> #END FIRST INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> x_start := 2.0;
> x_end := 3.0;
> 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;
> array_y_set_initial[1,31] := false;
> array_y_set_initial[1,32] := false;
> array_y_set_initial[1,33] := false;
> array_y_set_initial[1,34] := false;
> array_y_set_initial[1,35] := false;
> array_y_set_initial[1,36] := false;
> array_y_set_initial[1,37] := false;
> array_y_set_initial[1,38] := false;
> array_y_set_initial[1,39] := false;
> array_y_set_initial[1,40] := 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 ) = m1 * 2.0 / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0) ;");
> omniout_int(INFO,"Iterations ",32,glob_iter,4," ")
> ;
> prog_report(x_start,x_end);
> if (glob_html_log) then # if number 3
> logstart(html_log_file);
> logitem_str(html_log_file,"2013-01-28T19:17:47-06:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> logitem_str(html_log_file,"sing6")
> ;
> logitem_str(html_log_file,"diff ( y , x , 1 ) = m1 * 2.0 / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0) ;")
> ;
> logitem_float(html_log_file,x_start)
> ;
> logitem_float(html_log_file,x_end)
> ;
> logitem_float(html_log_file,array_x[1])
> ;
> logitem_float(html_log_file,glob_h)
> ;
> logitem_integer(html_log_file,Digits)
> ;
> ;
> logitem_good_digits(html_log_file,array_last_rel_error[1])
> ;
> logitem_integer(html_log_file,glob_max_terms)
> ;
> logitem_float(html_log_file,array_1st_rel_error[1])
> ;
> logitem_float(html_log_file,array_last_rel_error[1])
> ;
> logitem_integer(html_log_file,glob_iter)
> ;
> logitem_pole(html_log_file,array_type_pole[1])
> ;
> if (array_type_pole[1] = 1 or array_type_pole[1] = 2) then # if number 4
> logitem_float(html_log_file,array_pole[1])
> ;
> logitem_float(html_log_file,array_pole[2])
> ;
> 0;
> else
> logitem_str(html_log_file,"NA")
> ;
> logitem_str(html_log_file,"NA")
> ;
> 0;
> fi;# end if 4;
> logitem_time(html_log_file,convfloat(glob_clock_sec))
> ;
> if (glob_percent_done < 100.0) then # if number 4
> logitem_time(html_log_file,convfloat(glob_total_exp_sec))
> ;
> 0;
> else
> logitem_str(html_log_file,"Done")
> ;
> 0;
> fi;# end if 4;
> log_revs(html_log_file," 165 | ")
> ;
> logitem_str(html_log_file,"sing6 diffeq.mxt")
> ;
> logitem_str(html_log_file,"sing6 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_2D0, array_const_6D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6,
array_tmp7, array_tmp8, array_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/sing6postode.ode#################");
omniout_str(ALWAYS, "diff ( y , x , 1 ) = m1 * 2.0 / ( x - 6.0 ) / ( \
x - 6.0 ) / ( x - 6.0) ;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK");
omniout_str(ALWAYS, "Digits:=64;");
omniout_str(ALWAYS, "max_terms:=40;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#END FIRST INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK");
omniout_str(ALWAYS, "x_start := 2.0;");
omniout_str(ALWAYS, "x_end := 3.0;");
omniout_str(ALWAYS, "array_y_init[0 + 1] := exact_soln_y(x_start);");
omniout_str(ALWAYS, "glob_look_poles := true;");
omniout_str(ALWAYS, "glob_max_iter := 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(1.0/ ( x - 6.0 ) / ( x - 6.0 ));");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "");
omniout_str(ALWAYS, "");
omniout_str(ALWAYS, "#END USER DEF BLOCK");
omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################");
glob_unchanged_h_cnt := 0;
glob_warned := false;
glob_warned2 := false;
glob_small_float := 0.10*10^(-199);
glob_smallish_float := 0.10*10^(-63);
glob_large_float := 0.10*10^101;
glob_almost_1 := 0.99;
Digits := 64;
max_terms := 40;
glob_max_terms := max_terms;
glob_html_log := true;
array_y_init := Array(0 .. max_terms + 1, []);
array_norms := Array(0 .. max_terms + 1, []);
array_fact_1 := Array(0 .. max_terms + 1, []);
array_pole := Array(0 .. max_terms + 1, []);
array_1st_rel_error := Array(0 .. max_terms + 1, []);
array_last_rel_error := Array(0 .. max_terms + 1, []);
array_type_pole := Array(0 .. max_terms + 1, []);
array_y := Array(0 .. max_terms + 1, []);
array_x := Array(0 .. max_terms + 1, []);
array_tmp0 := Array(0 .. max_terms + 1, []);
array_tmp1 := Array(0 .. max_terms + 1, []);
array_tmp2 := Array(0 .. max_terms + 1, []);
array_tmp3 := Array(0 .. max_terms + 1, []);
array_tmp4 := Array(0 .. max_terms + 1, []);
array_tmp5 := Array(0 .. max_terms + 1, []);
array_tmp6 := Array(0 .. max_terms + 1, []);
array_tmp7 := Array(0 .. max_terms + 1, []);
array_tmp8 := Array(0 .. max_terms + 1, []);
array_m1 := Array(0 .. max_terms + 1, []);
array_y_higher := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_higher_work := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_higher_work2 := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_set_initial := Array(0 .. 3, 0 .. max_terms + 1, []);
array_poles := Array(0 .. 2, 0 .. 4, []);
array_real_pole := Array(0 .. 2, 0 .. 4, []);
array_complex_pole := Array(0 .. 2, 0 .. 4, []);
array_fact_2 := Array(0 .. max_terms + 1, 0 .. max_terms + 1, []);
term := 1;
while term <= max_terms do array_y_init[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_norms[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_fact_1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_1st_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_last_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_type_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_y[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_x[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_tmp0[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp3[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp4[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp5[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp6[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp7[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp8[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher_work[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher_work2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_set_initial[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do array_poles[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do
array_real_pole[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do
array_complex_pole[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= max_terms do
term := 1;
while term <= max_terms do
array_fact_2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
array_y := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_y[term] := 0.; term := term + 1
end do;
array_x := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_x[term] := 0.; term := term + 1
end do;
array_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1
end do;
array_tmp0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp0[term] := 0.; term := term + 1
end do;
array_tmp1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp1[term] := 0.; term := term + 1
end do;
array_tmp2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1
end do;
array_tmp3 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1
end do;
array_tmp4 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp4[term] := 0.; term := term + 1
end do;
array_tmp5 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp5[term] := 0.; term := term + 1
end do;
array_tmp6 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp6[term] := 0.; term := term + 1
end do;
array_tmp7 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp7[term] := 0.; term := term + 1
end do;
array_tmp8 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp8[term] := 0.; term := term + 1
end do;
array_const_1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_1[term] := 0.; term := term + 1
end do;
array_const_1[1] := 1;
array_const_0D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D0[term] := 0.; term := term + 1
end do;
array_const_0D0[1] := 0.;
array_const_2D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_2D0[term] := 0.; term := term + 1
end do;
array_const_2D0[1] := 2.0;
array_const_6D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_6D0[term] := 0.; term := term + 1
end do;
array_const_6D0[1] := 6.0;
array_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
array_m1[1] := -1.0;
iiif := 0;
while iiif <= glob_max_terms do
jjjf := 0;
while jjjf <= glob_max_terms do
array_fact_1[iiif] := 0;
array_fact_2[iiif, jjjf] := 0;
jjjf := jjjf + 1
end do;
iiif := iiif + 1
end do;
x_start := 2.0;
x_end := 3.0;
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;
array_y_set_initial[1, 31] := false;
array_y_set_initial[1, 32] := false;
array_y_set_initial[1, 33] := false;
array_y_set_initial[1, 34] := false;
array_y_set_initial[1, 35] := false;
array_y_set_initial[1, 36] := false;
array_y_set_initial[1, 37] := false;
array_y_set_initial[1, 38] := false;
array_y_set_initial[1, 39] := false;
array_y_set_initial[1, 40] := 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 ) = m1 * 2.0 / ( x - 6.0 ) / \
( x - 6.0 ) / ( x - 6.0) ;");
omniout_int(INFO, "Iterations ", 32,
glob_iter, 4, " ");
prog_report(x_start, x_end);
if glob_html_log then
logstart(html_log_file);
logitem_str(html_log_file, "2013-01-28T19:17:47-06:00");
logitem_str(html_log_file, "Maple");
logitem_str(html_log_file,
"sing6");
logitem_str(html_log_file, "diff ( y , x , 1 ) = m1 * 2.0 / (\
x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0) ;");
logitem_float(html_log_file, x_start);
logitem_float(html_log_file, x_end);
logitem_float(html_log_file, array_x[1]);
logitem_float(html_log_file, glob_h);
logitem_integer(html_log_file, Digits);
logitem_good_digits(html_log_file, array_last_rel_error[1]);
logitem_integer(html_log_file, glob_max_terms);
logitem_float(html_log_file, array_1st_rel_error[1]);
logitem_float(html_log_file, array_last_rel_error[1]);
logitem_integer(html_log_file, glob_iter);
logitem_pole(html_log_file, array_type_pole[1]);
if array_type_pole[1] = 1 or array_type_pole[1] = 2 then
logitem_float(html_log_file, array_pole[1]);
logitem_float(html_log_file, array_pole[2]);
0
else
logitem_str(html_log_file, "NA");
logitem_str(html_log_file, "NA");
0
end if;
logitem_time(html_log_file, convfloat(glob_clock_sec));
if glob_percent_done < 100.0 then
logitem_time(html_log_file, convfloat(glob_total_exp_sec));
0
else logitem_str(html_log_file, "Done"); 0
end if;
log_revs(html_log_file, " 165 | ");
logitem_str(html_log_file,
"sing6 diffeq.mxt");
logitem_str(html_log_file,
"sing6 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/sing6postode.ode#################
diff ( y , x , 1 ) = m1 * 2.0 / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0) ;
!
#BEGIN FIRST INPUT BLOCK
Digits:=64;
max_terms:=40;
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start := 2.0;
x_end := 3.0;
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(1.0/ ( x - 6.0 ) / ( x - 6.0 ));
end;
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Optimize
min_size = 0
min_size = 1
opt_iter = 1
glob_desired_digits_correct = 10
desired_abs_gbl_error = 1.0000000000000000000000000000000e-10
range = 1
estimated_steps = 1000
step_error = 1.0000000000000000000000000000000e-13
est_needed_step_err = 1.0000000000000000000000000000000e-13
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
value3 = 1.1030416371266002630265453913683e-131
max_value3 = 1.1030416371266002630265453913683e-131
value3 = 1.1030416371266002630265453913683e-131
best_h = 0.001
START of Soultion
TOP MAIN SOLVE Loop
x[1] = 2
y[1] (analytic) = 0.0625
y[1] (numeric) = 0.0625
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.997
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.001
y[1] (analytic) = 0.062531261722657471069442779549601
y[1] (numeric) = 0.062531261722657471069412247797592
absolute error = 3.0531752008938131016480364315316e-23
relative error = 4.8826380865869060015368500261089e-20 %
Correct digits = 21
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.996
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.002
y[1] (analytic) = 0.062562546906269542975589845948487
y[1] (numeric) = 0.062562546906269542975528721308659
absolute error = 6.1124639828331972056454657664011e-23
relative error = 9.7701648751461755467825947392018e-20 %
Correct digits = 21
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.995
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.003
y[1] (analytic) = 0.062593855574317716020315211389778
y[1] (numeric) = 0.062593855574317716020223432588567
absolute error = 9.1778801211111317542943114323552e-23
relative error = 1.4662589541579253090679170809211e-19 %
Correct digits = 20
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.994
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.004
y[1] (analytic) = 0.062625187750312875438000563125688
y[1] (numeric) = 0.062625187750312875437878068751433
absolute error = 1.2249437425516873716651404039233e-22
relative error = 1.9559921280165224777746908612094e-19 %
Correct digits = 20
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.993
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.005
y[1] (analytic) = 0.062656543457795335533622284426246
y[1] (numeric) = 0.062656543457795335533469012928842
absolute error = 1.5327149740431006043535463472956e-22
relative error = 2.4462169303602236722997708541496e-19 %
Correct digits = 20
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.09
Order of pole = 1.037e-58
TOP MAIN SOLVE Loop
x[1] = 2.006
y[1] (analytic) = 0.062687922720334883898205846576575
y[1] (numeric) = 0.062687922720334883898021736267126
absolute error = 1.8411030944920771891612191861316e-22
relative error = 2.9369342843049017036278578261061e-19 %
Correct digits = 20
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.991
Order of pole = 1225
TOP MAIN SOLVE Loop
memory used=3.8MB, alloc=3.1MB, time=0.45
x[1] = 2.007
y[1] (analytic) = 0.062719325561530825701802597320166
y[1] (numeric) = 0.062719325561530825701587586370638
absolute error = 2.1501094952835695547571611755195e-22
relative error = 3.4281451148166501875956360883380e-19 %
Correct digits = 20
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.99
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.008
y[1] (analytic) = 0.062750752005012028064144320705539
y[1] (numeric) = 0.06275075200501202806389834714841
absolute error = 2.4597355712903490986679198280158e-22
relative error = 3.9198503487159565818714285126129e-19 %
Correct digits = 20
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.989
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.009
y[1] (analytic) = 0.062782202074436964503131293719564
y[1] (numeric) = 0.062782202074436964502854295447475
absolute error = 2.7699827208826259003261956889302e-22
relative error = 4.4120509146818856833093571355131e-19 %
Correct digits = 20
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.876
Order of pole = 7.771e-59
TOP MAIN SOLVE Loop
x[1] = 2.01
y[1] (analytic) = 0.062813675793493759461309916394998
y[1] (numeric) = 0.062813675793493759461001831160404
absolute error = 3.0808523459376973853982538999551e-22
relative error = 4.9047477432562736145278741912675e-19 %
Correct digits = 20
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.987
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.011
y[1] (analytic) = 0.062845173185900232910496344264853
y[1] (numeric) = 0.062845173185900232910157109679668
absolute error = 3.3923458518496260358058815741410e-22
relative error = 5.3979417668479323286493520119402e-19 %
Correct digits = 20
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.986
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.012
y[1] (analytic) = 0.062876694275403945034702905104481
y[1] (numeric) = 0.062876694275403945034332458639727
absolute error = 3.7044646475389462401903095028739e-22
relative error = 5.8916339197368646612245269738274e-19 %
Correct digits = 20
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.985
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.013
y[1] (analytic) = 0.062908239085782240991524435856212
y[1] (numeric) = 0.062908239085782240991122714841665
absolute error = 4.0172101454624003798984419105051e-22
relative error = 6.3858251380784899584529835446073e-19 %
Correct digits = 20
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.984
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.014
y[1] (analytic) = 0.062939807640842295752142030473441
y[1] (numeric) = 0.062939807640842295751708972097279
absolute error = 4.3305837616227042459059168803706e-22
relative error = 6.8805163599078803108985404955036e-19 %
Correct digits = 20
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.983
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.015
y[1] (analytic) = 0.062971399964421159020102045153642
y[1] (numeric) = 0.062971399964421159019637586462085
absolute error = 4.6445869155783418824269577343036e-22
relative error = 7.3757085251440074219863634886231e-19 %
Correct digits = 20
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.982
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.016
y[1] (analytic) = 0.063003016080385800229028564055418
y[1] (numeric) = 0.063003016080385800228532641952373
absolute error = 4.9592210304533899532976771150806e-22
relative error = 7.8714025755940001406568775375901e-19 %
Correct digits = 20
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 3.416
Order of pole = 2.538e-58
TOP MAIN SOLVE Loop
x[1] = 2.017
y[1] (analytic) = 0.063034656012633153619427886115791
y[1] (numeric) = 0.063034656012633153618900437362497
absolute error = 5.2744875329473717275574658778313e-22
relative error = 8.3675994549574126876400902793555e-19 %
Correct digits = 20
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.98
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.018
y[1] (analytic) = 0.063066319785090163394743952002999
y[1] (numeric) = 0.063066319785090163394184913217664
absolute error = 5.5903878533451407809923432442957e-22
relative error = 8.8643001088305036049027636000764e-19 %
Correct digits = 20
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.979
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.019
y[1] (analytic) = 0.063098007421713828956823989559551
y[1] (numeric) = 0.063098007421713828956233297216999
absolute error = 5.9069234255267945107446681367233e-22
relative error = 9.3615054847105254579099879455987e-19 %
Correct digits = 20
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.978
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.02
y[1] (analytic) = 0.063129718946491250220954016312719
y[1] (numeric) = 0.063129718946491250220331606744022
absolute error = 6.2240956869776175604354193318737e-22
relative error = 9.8592165320000253204321216384613e-19 %
Correct digits = 20
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.977
Order of pole = 1225
TOP MAIN SOLVE Loop
memory used=7.6MB, alloc=4.3MB, time=1.01
x[1] = 2.021
y[1] (analytic) = 0.063161454383439673010624198757475
y[1] (numeric) = 0.063161454383439673009970008149595
absolute error = 6.5419060787980552535883492277078e-22
relative error = 1.0357434202011156071717757743508e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.976
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.022
y[1] (analytic) = 0.063193213756606534532184430152667
y[1] (numeric) = 0.063193213756606534531498394548096
absolute error = 6.8603560457137171334897077857375e-22
relative error = 1.0856159447969998535943374502008e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.975
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.023
y[1] (analytic) = 0.063224997090069508929550851517422
y[1] (numeric) = 0.063224997090069508928832906813814
absolute error = 7.1794470360854107079629248126494e-22
relative error = 1.1355393225020894493940613122409e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.974
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.024
y[1] (analytic) = 0.06325680440793655291912440437393
y[1] (numeric) = 0.063256804407936552918374486323738
absolute error = 7.4991805019192054978846354100052e-22
relative error = 1.1855136490230790597292709811136e-18 %
Correct digits = 19
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.363
Order of pole = 1.864e-58
TOP MAIN SOLVE Loop
x[1] = 2.025
y[1] (analytic) = 0.063288635734345951505082868557415
y[1] (numeric) = 0.063288635734345951504300912767527
absolute error = 7.8195578988765274886167404072799e-22
relative error = 1.2355390202593593214982488389778e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.972
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.026
y[1] (analytic) = 0.063320491093466363775208204106764
y[1] (numeric) = 0.063320491093466363774394146038136
absolute error = 8.1405806862842840838788161804037e-22
relative error = 1.2856155323034534242865496720067e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.971
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.027
y[1] (analytic) = 0.063352370509496868777411382862512
y[1] (numeric) = 0.063352370509496868776565157829798
absolute error = 8.4622503271450196619361317471490e-22
relative error = 1.3357432814414547906333345493704e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.97
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.028
y[1] (analytic) = 0.063384274006667011477117262935209
y[1] (numeric) = 0.063384274006667011476238806106394
absolute error = 8.7845682881471018343308007466565e-22
relative error = 1.3859223641534658586624082792704e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.969
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.029
y[1] (analytic) = 0.063416201609236848795672427669224
y[1] (numeric) = 0.063416201609236848794761674065257
absolute error = 9.1075360396749385077371972004538e-22
relative error = 1.4361528771140379701328513243960e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.968
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.03
y[1] (analytic) = 0.063448153341496995729939280117252
y[1] (numeric) = 0.06344815334149699572899616461167
absolute error = 9.4311550558192258498777021867152e-22
relative error = 1.4864349171926123669733747639460e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.967
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.031
y[1] (analytic) = 0.063480129227768671553240054361843
y[1] (numeric) = 0.063480129227768671552264511680405
absolute error = 9.7554268143872272607911291315111e-22
relative error = 1.5367685814539622993737948635466e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.966
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.032
y[1] (analytic) = 0.063512129292403746097814776274714
y[1] (numeric) = 0.063512129292403746096806740995023
absolute error = 1.0080352796913083451103803746766e-21
relative error = 1.5871539671586362485163221648411e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.965
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.033
y[1] (analytic) = 0.063544153559784786118957578494981
y[1] (numeric) = 0.063544153559784786117916985046114
absolute error = 1.0405934488668153729312256164191e-21
relative error = 1.6375911717634022670386888404668e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.964
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.034
y[1] (analytic) = 0.06357620205432510174099614753646
y[1] (numeric) = 0.063576202054325101739922930198593
absolute error = 1.0732173378671388600446822990542e-21
relative error = 1.6880802929216934403304974852262e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.963
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.035
y[1] (analytic) = 0.063608274800468792985279455004302
y[1] (numeric) = 0.063608274800468792984173547908332
absolute error = 1.1059070959699733778847161328480e-21
relative error = 1.7386214284840544717735646385633e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.962
Order of pole = 1225
TOP MAIN SOLVE Loop
memory used=11.4MB, alloc=4.3MB, time=1.57
x[1] = 2.036
y[1] (analytic) = 0.06364037182269079638033929991518
y[1] (numeric) = 0.06364037182269079637920063704235
absolute error = 1.1386628728298565718143750779143e-21
relative error = 1.7892146764985893950464532654290e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.961
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.037
y[1] (analytic) = 0.063672493145496931654391565075612
y[1] (numeric) = 0.063672493145496931653220080257133
absolute error = 1.1714848184792158761903908600638e-21
relative error = 1.8398601352114104166228402711530e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.96
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.038
y[1] (analytic) = 0.063704638793423948510343467382333
y[1] (numeric) = 0.063704638793423948509139094299004
absolute error = 1.2043730833294184018766673098605e-21
relative error = 1.8905579030670878916028480003165e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.959
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.039
y[1] (analytic) = 0.063736808791039573483473459769741
y[1] (numeric) = 0.063736808791039573482236131951569
absolute error = 1.2373278181718240066258126551753e-21
relative error = 1.9413080787091014360259826795438e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.958
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.04
y[1] (analytic) = 0.063769003162942556881950821344761
y[1] (numeric) = 0.063769003162942556880680472170582
absolute error = 1.2703491741788415587847337132228e-21
relative error = 1.9921107609802921788238680197275e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.957
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.041
y[1] (analytic) = 0.063801221933762719810362352021838
y[1] (numeric) = 0.063801221933762719809058914718933
absolute error = 1.3034373029049884048173104996876e-21
relative error = 2.0429660489233161565805388050053e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.956
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.042
y[1] (analytic) = 0.063833465128161001276413968702707
y[1] (numeric) = 0.063833465128161001275077376346419
absolute error = 1.3365923562879530511743106654574e-21
relative error = 2.0938740417810988542776673747738e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.955
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.043
y[1] (analytic) = 0.063865732770829505380975381739855
y[1] (numeric) = 0.063865732770829505379605567253205
absolute error = 1.3698144866496610710779849534459e-21
relative error = 2.1448348389972908952117355625327e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.954
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.044
y[1] (analytic) = 0.063898024886491548591636413081817
y[1] (numeric) = 0.06389802488649154859023330923512
absolute error = 1.4031038466973442468262081092260e-21
relative error = 2.1958485402167248832798360032068e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.953
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.045
y[1] (analytic) = 0.063930341499901707099943901125334
y[1] (numeric) = 0.063930341499901707098507440535809
absolute error = 1.4364605895246129582585949523847e-21
relative error = 2.2469152452858734008404898710075e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.952
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.046
y[1] (analytic) = 0.063962682635845864262488521896601
y[1] (numeric) = 0.063962682635845864261018637027988
absolute error = 1.4698848686125318280647291957744e-21
relative error = 2.2980350542533081653656031755323e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.951
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.047
y[1] (analytic) = 0.063995048319141258126011241754158
y[1] (numeric) = 0.063995048319141258124507864916327
absolute error = 1.5033768378306986346524936647961e-21
relative error = 2.3492080673701603481094508377280e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.95
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.048
y[1] (analytic) = 0.064027438574636529036699503351964
y[1] (numeric) = 0.064027438574636529035162566700526
absolute error = 1.5369366514383265033324853985885e-21
relative error = 2.4004343850905820580303770030716e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.949
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.049
y[1] (analytic) = 0.064059853427211767333843634125735
y[1] (numeric) = 0.064059853427211767332273069661649
absolute error = 1.5705644640853293866126382921202e-21
relative error = 2.4517141080722089942107315407951e-18 %
Correct digits = 19
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.435
Order of pole = 2.022e-58
TOP MAIN SOLVE Loop
x[1] = 2.05
y[1] (analytic) = 0.064092292901778561128024355071303
y[1] (numeric) = 0.064092292901778561126420094640489
absolute error = 1.6042604308134108444354600477856e-21
relative error = 2.5030473371766242700304265395574e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.947
Order of pole = 1225
memory used=15.2MB, alloc=4.3MB, time=2.14
TOP MAIN SOLVE Loop
x[1] = 2.051
y[1] (analytic) = 0.064124757023280044164002657073432
y[1] (numeric) = 0.064124757023280044162364632366375
absolute error = 1.6380247070571561352287198348112e-21
relative error = 2.5544341734698234123593929564666e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.946
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.052
y[1] (analytic) = 0.064157245816690943768483702519789
y[1] (numeric) = 0.064157245816690943766811845071144
absolute error = 1.6718574486451276286789987947469e-21
relative error = 2.6058747182226805390441465230077e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.945
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.053
y[1] (analytic) = 0.064189759307017628882926801400544
y[1] (numeric) = 0.064189759307017628881221042588743
absolute error = 1.7057588118009635511762379742434e-21
relative error = 2.6573690729114157179736336739285e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.944
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.054
y[1] (analytic) = 0.064222297519298158181573903551981
y[1] (numeric) = 0.064222297519298158179834174598837
absolute error = 1.7397289531444800749162880074546e-21
relative error = 2.7089173392180635110195227595883e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.943
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.055
y[1] (analytic) = 0.064254860478602328274869442155365
y[1] (numeric) = 0.064254860478602328273095674125672
absolute error = 1.7737680296927767616874825075778e-21
relative error = 2.7605196190309427061561332452496e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.942
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.056
y[1] (analytic) = 0.064287448210031721998444758052903
y[1] (numeric) = 0.064287448210031721996636881854042
absolute error = 1.8078761988613453724064232606467e-21
relative error = 2.8121760144451272410752561092922e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.941
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.057
y[1] (analytic) = 0.064320060738719756787840729893758
y[1] (numeric) = 0.064320060738719756785998676275293
absolute error = 1.8420536184651820535074805477229e-21
relative error = 2.8638866277629183216212123438105e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.94
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.058
y[1] (analytic) = 0.064352698089831733139142631577457
y[1] (numeric) = 0.064352698089831733137266331130737
absolute error = 1.8763004467199029113299768596734e-21
relative error = 2.9156515614943177383816234534042e-18 %
Correct digits = 19
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.073
Order of pole = 1.676e-58
TOP MAIN SOLVE Loop
x[1] = 2.059
y[1] (analytic) = 0.06438536028856488315570163592255
y[1] (numeric) = 0.064385360288564883153791019080307
absolute error = 1.9106168422428629856866375199834e-21
relative error = 2.9674709183575023847795282595509e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.938
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.06
y[1] (analytic) = 0.064418047360148419181117781957793
y[1] (numeric) = 0.064418047360148419179172778993739
absolute error = 1.9450029640542786338366579063743e-21
relative error = 3.0193448012792999800226742675392e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.937
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.061
y[1] (analytic) = 0.064450759329843582518659622714278
y[1] (numeric) = 0.0644507593298435825166801637427
absolute error = 1.9794589715783533361266546748335e-21
relative error = 3.0712733133956660002760394598062e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.936
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.062
y[1] (analytic) = 0.064483496222943692237296170892614
y[1] (numeric) = 0.06448349622294369223528218586797
absolute error = 2.0139850246444069346028382561489e-21
relative error = 3.1232565580521618214339017633589e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.935
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.063
y[1] (analytic) = 0.064516258064774194064517161292387
y[1] (numeric) = 0.064516258064774194062468580008899
absolute error = 2.0485812834880083159379665339516e-21
relative error = 3.1752946388044340768780687199287e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.934
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.064
y[1] (analytic) = 0.064549044880692709366118051424417
y[1] (numeric) = 0.064549044880692709364034803515665
absolute error = 2.0832479087521115500570156460641e-21
relative error = 3.2273876594186952336192091862328e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.933
Order of pole = 1225
TOP MAIN SOLVE Loop
memory used=19.0MB, alloc=4.3MB, time=2.72
x[1] = 2.065
y[1] (analytic) = 0.064581856696089084213126585282764
y[1] (numeric) = 0.064581856696089084211008600221275
absolute error = 2.1179850614881954958860339017738e-21
relative error = 3.2795357238722053902285923292693e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.932
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.066
y[1] (analytic) = 0.064614693536385438536048149835788
y[1] (numeric) = 0.064614693536385438533895356932631
absolute error = 2.1527929031574068856893295033439e-21
relative error = 3.3317389363537552999779368795053e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.931
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.067
y[1] (analytic) = 0.06464755542703621536660755940674
y[1] (numeric) = 0.064647555427036215364419887811108
absolute error = 2.1876715956317068995009827301907e-21
relative error = 3.3839974012641506226155056851144e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.93
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.068
y[1] (analytic) = 0.064680442393528230167165309757226
y[1] (numeric) = 0.064680442393528230164942688456031
absolute error = 2.2226213011950212411976691209747e-21
relative error = 3.4363112232166974082170471955801e-18 %
Correct digits = 19
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.417
Order of pole = 1.932e-58
TOP MAIN SOLVE Loop
x[1] = 2.069
y[1] (analytic) = 0.064713354461380720247986751364368
y[1] (numeric) = 0.064713354461380720245729109181823
absolute error = 2.2576421825443937278009326073896e-21
relative error = 3.4886805070376888165606867159098e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.928
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.07
y[1] (analytic) = 0.064746291656145394272543040097378
y[1] (numeric) = 0.064746291656145394270250305694587
absolute error = 2.2927344027911434036383571514457e-21
relative error = 3.5411053577668930754854062368364e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.927
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.071
y[1] (analytic) = 0.064779254003406481851023133254618
y[1] (numeric) = 0.064779254003406481848695235129156
absolute error = 2.3278981254620251910345528560681e-21
relative error = 3.5935858806580426817033224855791e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.926
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.072
y[1] (analytic) = 0.064812241528780783222236509720799
y[1] (numeric) = 0.064812241528780783219873376206299
absolute error = 2.3631335145003940892444984001437e-21
relative error = 3.6461221811793248475465786803523e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.925
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.073
y[1] (analytic) = 0.064845254257917719024086704848849
y[1] (numeric) = 0.064845254257917719021688264114582
absolute error = 2.3984407342673729333835666398667e-21
relative error = 3.6987143650138731971403064346809e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.924
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.074
y[1] (analytic) = 0.064878292216499380152796163564922
y[1] (numeric) = 0.064878292216499380150362343615379
absolute error = 2.4338199495430237251505049672065e-21
relative error = 3.7513625380602607155037904699918e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.923
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.075
y[1] (analytic) = 0.064911355430240577711063329141142
y[1] (numeric) = 0.064911355430240577708594057815614
absolute error = 2.4692713255275225471817471752756e-21
relative error = 3.8040668064329939540926803827105e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.922
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.076
y[1] (analytic) = 0.064944443924888893045333300081778
y[1] (numeric) = 0.064944443924888893042828505053936
absolute error = 2.5047950278423380729176998038135e-21
relative error = 3.8568272764630084963058408014365e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.921
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.077
y[1] (analytic) = 0.064977557726224727872363803627684
y[1] (numeric) = 0.064977557726224727869823412405153
absolute error = 2.5403912225314136839040738832981e-21
relative error = 3.9096440546981656864912139874712e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.92
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.078
y[1] (analytic) = 0.065010696860061354495268651503918
y[1] (numeric) = 0.065010696860061354492692591427856
absolute error = 2.5760600760623532064939233235519e-21
relative error = 3.9625172479037506259958874052434e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.919
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.079
y[1] (analytic) = 0.065043861352244966109221261719522
y[1] (numeric) = 0.065043861352244966106609459964194
absolute error = 2.6118017553276102799588045652127e-21
relative error = 4.0154469630629714398164131457480e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.918
Order of pole = 1225
TOP MAIN SOLVE Loop
memory used=22.8MB, alloc=4.4MB, time=3.29
x[1] = 2.08
y[1] (analytic) = 0.065077051228654727197001249479384
y[1] (numeric) = 0.065077051228654727194353633051738
absolute error = 2.6476164276456813680603891960294e-21
relative error = 4.0684333073774598174163164541867e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.917
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.081
y[1] (analytic) = 0.065110266515202824014567510589045
y[1] (numeric) = 0.065110266515202824011884006328283
absolute error = 2.6835042607623024261769426974797e-21
relative error = 4.1214763882677728312886571212747e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.916
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.082
y[1] (analytic) = 0.065143507237834515166841642127107
y[1] (numeric) = 0.065143507237834515164122176704256
absolute error = 2.7194654228516492361223290024296e-21
relative error = 4.1745763133738960368524702753492e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.915
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.083
y[1] (analytic) = 0.065176773422528182273885967629695
y[1] (numeric) = 0.065176773422528182271130467547177
absolute error = 2.7555000825175414208386127861333e-21
relative error = 4.2277331905557478572829122891624e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.914
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.084
y[1] (analytic) = 0.065210065095295380727660857580174
y[1] (numeric) = 0.06521006509529538072486924917138
absolute error = 2.7916084087946501511869100584055e-21
relative error = 4.2809471278936852568859732212611e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.913
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.085
y[1] (analytic) = 0.065243382282180890539546460628065
y[1] (numeric) = 0.065243382282180890536718670056916
absolute error = 2.8277905711497095571048833548212e-21
relative error = 4.3342182336890107066396895778100e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.912
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.086
y[1] (analytic) = 0.065276725009262767278814386676864
y[1] (numeric) = 0.065276725009262767275950339937381
absolute error = 2.8640467394827318554431913228250e-21
relative error = 4.3875466164644804455349003378120e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.911
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.087
y[1] (analytic) = 0.065310093302652393102235309784386
y[1] (numeric) = 0.065310093302652393099334932700258
absolute error = 2.9003770841282262068372844511121e-21
relative error = 4.4409323849648140413597352645829e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.91
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.088
y[1] (analytic) = 0.065343487188494527875008886714258
y[1] (numeric) = 0.065343487188494527872072104938401
absolute error = 2.9367817758564213140151897870574e-21
relative error = 4.4943756481572052545832076612540e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.909
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.089
y[1] (analytic) = 0.065376906692967360383202815966427
y[1] (numeric) = 0.065376906692967360380229554980552
absolute error = 2.9732609858744917739863484197517e-21
relative error = 4.5478765152318342090045040506996e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.908
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.09
y[1] (analytic) = 0.065410351842282559637888292201124
y[1] (numeric) = 0.065410351842282559634878477315296
absolute error = 3.0098148858277881966011609708362e-21
relative error = 4.6014350956023808728458209038241e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.907
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.091
y[1] (analytic) = 0.065443822662685326271159542157634
y[1] (numeric) = 0.065443822662685326268113098509833
absolute error = 3.0464436478010711020156590302994e-21
relative error = 4.6550514989065398539778936383162e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.906
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.092
y[1] (analytic) = 0.065477319180454444024225560459661
y[1] (numeric) = 0.065477319180454444021142413015342
absolute error = 3.0831474443197486096406551012464e-21
relative error = 4.7087258350065365129786957970201e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.905
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.093
y[1] (analytic) = 0.065510841421902331327762597096075
y[1] (numeric) = 0.065510841421902331324642670647724
absolute error = 3.1199264483511179311998308809647e-21
relative error = 4.7624582139896443977371567257287e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.904
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.094
y[1] (analytic) = 0.065544389413375092974716382872569
y[1] (numeric) = 0.065544389413375092971559602039264
absolute error = 3.1567808333056106805665043130492e-21
relative error = 4.8162487461687040033251543397484e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.903
Order of pole = 1225
TOP MAIN SOLVE Loop
memory used=26.7MB, alloc=4.4MB, time=3.86
x[1] = 2.095
y[1] (analytic) = 0.065577963181252571885743514749304
y[1] (numeric) = 0.065577963181252571882549803976266
absolute error = 3.1937107730380420130942705076499e-21
relative error = 4.8700975420826428608724858327915e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.902
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.096
y[1] (analytic) = 0.06561156275194840096748185971513
y[1] (numeric) = 0.065611562751948400964251143273281
absolute error = 3.2307164418488636072023410579192e-21
relative error = 4.9240047124969969591910035769415e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.901
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.097
y[1] (analytic) = 0.065645188151910055063840273703673
y[1] (numeric) = 0.065645188151910055060572475689188
absolute error = 3.2677980144854205010222111973959e-21
relative error = 4.9779703684044335029056261254312e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.9
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.098
y[1] (analytic) = 0.065678839407618903000498371033425
y[1] (numeric) = 0.065678839407618902997193415367282
absolute error = 3.3049556661432117969582653654587e-21
relative error = 5.0319946210252750108614952981389e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.899
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.099
y[1] (analytic) = 0.065712516545590259722807519956398
y[1] (numeric) = 0.065712516545590259719465330383931
absolute error = 3.3421895724671552470610897993246e-21
relative error = 5.0860775818080247585881499409251e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.898
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.1
y[1] (analytic) = 0.065746219592373438527284681130835
y[1] (numeric) = 0.065746219592373438523905181221282
absolute error = 3.3794999095528557321585964777270e-21
relative error = 5.1402193624298935686132252426228e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.897
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.101
y[1] (analytic) = 0.065779948574551803386891148196238
y[1] (numeric) = 0.06577994857455180338347426134229
absolute error = 3.4168868539478776477365768329235e-21
relative error = 5.1944200747973279524298636066046e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.896
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.102
y[1] (analytic) = 0.065813703518742821370288693126759
y[1] (numeric) = 0.065813703518742821366834342544106
absolute error = 3.4543505826530212096069968567840e-21
relative error = 5.2486798310465396079337391468706e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.895
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.103
y[1] (analytic) = 0.065847484451598115155266063674913
y[1] (numeric) = 0.065847484451598115151774172401789
absolute error = 3.4918912731236026924492182893133e-21
relative error = 5.3029987435440362761573530515451e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.894
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.104
y[1] (analytic) = 0.065881291399803515636529225994966
y[1] (numeric) = 0.065881291399803515632999716891695
absolute error = 3.5295091032707386143563842332024e-21
relative error = 5.3573769248871539611410514701080e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.893
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.105
y[1] (analytic) = 0.065915124390079114628049192457332
y[1] (numeric) = 0.06591512439007911462448198820587
absolute error = 3.5672042514626338805664425282532e-21
relative error = 5.4118144879045905167920513757193e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.892
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.106
y[1] (analytic) = 0.065948983449179317660161722735173
y[1] (numeric) = 0.065948983449179317656556745838648
absolute error = 3.6049768965258738996046972903796e-21
relative error = 5.4663115456569406045946331722586e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.891
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.107
y[1] (analytic) = 0.06598286860389289687161363546537
y[1] (numeric) = 0.065982868603892896867970808247623
absolute error = 3.6428272177467206851123789202230e-21
relative error = 5.5208682114372320260465717994115e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.89
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.108
y[1] (analytic) = 0.066016779881043043996750918161375
y[1] (numeric) = 0.066016779881043043993070162766502
absolute error = 3.6807553948724129566835063683761e-21
relative error = 5.5754845987714634337088308810021e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.889
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.109
y[1] (analytic) = 0.06605071730748742344804427458842
y[1] (numeric) = 0.066050717307487423444325512980307
absolute error = 3.7187616081124702530802832632026e-21
relative error = 5.6301608214191434247675372051179e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.888
Order of pole = 1225
memory used=30.5MB, alloc=4.4MB, time=4.45
TOP MAIN SOLVE Loop
x[1] = 2.11
y[1] (analytic) = 0.066084680910118225494148201505409
y[1] (numeric) = 0.066084680910118225490391355467269
absolute error = 3.7568460381400010712454224220149e-21
relative error = 5.6848969933738310210192856632171e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.887
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.111
y[1] (analytic) = 0.066118670715862219533690140535896
y[1] (numeric) = 0.066118670715862219529895131669803
absolute error = 3.7950088660930150445781320389648e-21
relative error = 5.7396932288636775392028978537688e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.886
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.112
y[1] (analytic) = 0.06615268675168080746498670595607
y[1] (numeric) = 0.066152686751680807461153455682495
absolute error = 3.8332502735757391739890222388120e-21
relative error = 5.7945496423519698556128710189980e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.885
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.113
y[1] (analytic) = 0.066186729044570077151884445384002
y[1] (numeric) = 0.066186729044570077148012874941342
absolute error = 3.8715704426599381252979034734800e-21
relative error = 5.8494663485376750689419079765107e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.884
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.114
y[1] (analytic) = 0.066220797621560855985923047724799
y[1] (numeric) = 0.066220797621560855982013078168913
absolute error = 3.9099695558862386065873491901030e-21
relative error = 5.9044434623559865653121133770349e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.883
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.115
y[1] (analytic) = 0.066254892509718764545019371274198
y[1] (numeric) = 0.066254892509718764541070923477932
absolute error = 3.9484477962654578391739850905832e-21
relative error = 5.9594810989788714894666771118817e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.882
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.116
y[1] (analytic) = 0.066289013736144270348871124611679
y[1] (numeric) = 0.066289013736144270344884119264399
absolute error = 3.9870053472799361359087469123906e-21
relative error = 6.0145793738156196261061421562005e-18 %
Correct digits = 19
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.872
Order of pole = 1.872e-58
TOP MAIN SOLVE Loop
x[1] = 2.117
y[1] (analytic) = 0.066323161327972741711279493826939
y[1] (numeric) = 0.066323161327972741707253851434054
absolute error = 4.0256423928848736005668187707463e-21
relative error = 6.0697384025133936953656717144675e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.88
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.118
y[1] (analytic) = 0.06635733531237450168959047172368
y[1] (numeric) = 0.06635733531237450168552611260617
absolute error = 4.0643591175096709621376254991389e-21
relative error = 6.1249583009577810664420893812485e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.879
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.119
y[1] (analytic) = 0.066391535716554882131455107935707
y[1] (numeric) = 0.066391535716554882127351952229648
absolute error = 4.1031557060592745578751058975099e-21
relative error = 6.1802391852733468933918662920344e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.878
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.12
y[1] (analytic) = 0.066425762567754277819109363375492
y[1] (numeric) = 0.066425762567754277814967331031576
absolute error = 4.1420323439155254790185401380125e-21
relative error = 6.2355811718241886771336710653695e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.877
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.121
y[1] (analytic) = 0.06646001589324820071137471811815
y[1] (numeric) = 0.066460015893248200707193728901212
absolute error = 4.1809892169385128931444445831124e-21
relative error = 6.2909843772144922577015818786487e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.876
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.122
y[1] (analytic) = 0.066494295720347334283581148707577
y[1] (numeric) = 0.066494295720347334279361122196109
absolute error = 4.2200265114679315571604817395406e-21
relative error = 6.3464489182890892408075854265069e-18 %
Correct digits = 19
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 3.358
Order of pole = 2.183e-58
TOP MAIN SOLVE Loop
x[1] = 2.123
y[1] (analytic) = 0.06652860207639758796561455895961
y[1] (numeric) = 0.066528602076397587961355414545285
absolute error = 4.2591444143244435350029628073243e-21
relative error = 6.4019749121340158627845549339093e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.874
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.124
y[1] (analytic) = 0.066562934988780151678291217633107
y[1] (numeric) = 0.066562934988780151673992874520296
memory used=34.3MB, alloc=4.4MB, time=5.03
absolute error = 4.2983431128110441341503460924469e-21
relative error = 6.4575624760770732979935089876960e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.873
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.125
y[1] (analytic) = 0.066597294484911550468262226847034
y[1] (numeric) = 0.06659729448491155046392460405232
absolute error = 4.3376227947144320751161572447726e-21
relative error = 6.5132117276883894127916048628539e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.872
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.126
y[1] (analytic) = 0.066631680592243699241651516843556
y[1] (numeric) = 0.06663168059224369923727453319525
absolute error = 4.3769836483063839081359776734501e-21
relative error = 6.5689227847809819701700144061908e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.871
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.127
y[1] (analytic) = 0.06666609333826395759663133563718
y[1] (numeric) = 0.066666093338263957592214909774835
absolute error = 4.4164258623451326913145663973722e-21
relative error = 6.6246957654113232891835675539649e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.87
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.128
y[1] (analytic) = 0.066700532750495184755139676251622
y[1] (numeric) = 0.066700532750495184750683726625545
absolute error = 4.4559496260767509445507988293063e-21
relative error = 6.6805307878799063633068283555711e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.869
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.129
y[1] (analytic) = 0.06673499885649579459394455963276
y[1] (numeric) = 0.066734998856495794589449004503523
absolute error = 4.4955551292365378936099243935166e-21
relative error = 6.7364279707318124418640911073989e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.868
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.13
y[1] (analytic) = 0.066769491683859810775260567941296
y[1] (numeric) = 0.066769491683859810770725325379246
absolute error = 4.5352425620504110187646642661957e-21
relative error = 6.7923874327572800786936500248386e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.867
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.131
y[1] (analytic) = 0.066804011260216921977123500776029
y[1] (numeric) = 0.066804011260216921972548488660792
absolute error = 4.5750121152363019224788917375673e-21
relative error = 6.8484092929922756522196049521214e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.866
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.132
y[1] (analytic) = 0.066838557613232537223729505961465
y[1] (numeric) = 0.066838557613232537219114641981459
absolute error = 4.6148639800055565306600615595383e-21
relative error = 6.9044936707190653611174180858354e-18 %
Correct digits = 19
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.773
Order of pole = 7.692e-59
TOP MAIN SOLVE Loop
x[1] = 2.133
y[1] (analytic) = 0.066873130770607841315945516855406
y[1] (numeric) = 0.066873130770607841311290718507342
absolute error = 4.6547983480643396420591820023555e-21
relative error = 6.9606406854667886997724327257622e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.864
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.134
y[1] (analytic) = 0.066907730760079850362198309696616
y[1] (numeric) = 0.066907730760079850357503494285001
absolute error = 4.6948154116150438404499550406502e-21
relative error = 7.0168504570120334177436048239537e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.863
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.135
y[1] (analytic) = 0.066942357609421467409949977323276
y[1] (numeric) = 0.066942357609421467405215061959919
absolute error = 4.7349153633577027842717469700311e-21
relative error = 7.0731231053794119674577817381393e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.862
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.136
y[1] (analytic) = 0.06697701134644153817796809965322
y[1] (numeric) = 0.066977011346441538173193001256728
absolute error = 4.7750983964914088884742946702273e-21
relative error = 7.1294587508421394443729902676650e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.861
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.137
y[1] (analytic) = 0.067011691998984906889599376630436
y[1] (numeric) = 0.067011691998984906884784011925721
absolute error = 4.8153647047157354133555025336682e-21
relative error = 7.1858575139226130238623679188845e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.86
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.138
y[1] (analytic) = 0.067046399594932472207255975912642
y[1] (numeric) = 0.06704639959493247220240026143041
absolute error = 4.8557144822321629752373426270321e-21
relative error = 7.2423195153929928990835875725259e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.859
Order of pole = 1225
TOP MAIN SOLVE Loop
memory used=38.1MB, alloc=4.4MB, time=5.60
x[1] = 2.139
y[1] (analytic) = 0.067081134162201243268324335405402
y[1] (numeric) = 0.067081134162201243263428187481657
absolute error = 4.8961479237455104938787368092199e-21
relative error = 7.2988448762757847241118864689558e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.858
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.14
y[1] (analytic) = 0.067115895728744395822706649842949
y[1] (numeric) = 0.067115895728744395817769984618483
absolute error = 4.9366652244653705915783751577128e-21
relative error = 7.3554337178444235666281158499858e-18 %
Correct digits = 19
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 3.301
Order of pole = 2.256e-58
TOP MAIN SOLVE Loop
x[1] = 2.141
y[1] (analytic) = 0.067150684322551328472205760978079
y[1] (numeric) = 0.067150684322551328467228494397972
absolute error = 4.9772665801075494589747110254731e-21
relative error = 7.4120861616238593744665778600733e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.856
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.142
y[1] (analytic) = 0.067185499971647719011964662576951
y[1] (numeric) = 0.067185499971647719006946710390055
absolute error = 5.0179521868955112026048702354049e-21
relative error = 7.4688023293911439603408115782486e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.855
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.143
y[1] (analytic) = 0.067220342704095580874172324322827
y[1] (numeric) = 0.067220342704095580869113602081265
absolute error = 5.0587222415618266893389211956983e-21
relative error = 7.5255823431760195090789304882825e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.854
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.144
y[1] (analytic) = 0.067255212547993319674248032919543
y[1] (numeric) = 0.067255212547993319669148455978194
absolute error = 5.0995769413496269028608749678161e-21
relative error = 7.5824263252615086117135994625466e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.853
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.145
y[1] (analytic) = 0.067290109531475789859716944154256
y[1] (numeric) = 0.067290109531475789854576427670242
absolute error = 5.1405164840140608274229204240013e-21
relative error = 7.6393343981845058307852705994094e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.852
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.146
y[1] (analytic) = 0.067325033682714351461990036433615
y[1] (numeric) = 0.067325033682714351456808495365791
absolute error = 5.1815410678237578741547504814455e-21
relative error = 7.6963066847363708012308741802062e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.851
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.147
y[1] (analytic) = 0.067359985029916926951262154351499
y[1] (numeric) = 0.067359985029916926946039503459937
absolute error = 5.2226508915622948652654018880515e-21
relative error = 7.7533433079635228712437837657875e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.85
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.148
y[1] (analytic) = 0.067394963601328058194742330183562
y[1] (numeric) = 0.067394963601328058189478484029033
absolute error = 5.2638461545296675915308140563715e-21
relative error = 7.8104443911680372875045432010291e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.849
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.149
y[1] (analytic) = 0.067429969425228963518431071837799
y[1] (numeric) = 0.067429969425228963513125944781255
absolute error = 5.3051270565437669585163128980914e-21
relative error = 7.8676100579082429291955582057588e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.848
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.15
y[1] (analytic) = 0.067465002529937594872659807724743
y[1] (numeric) = 0.067465002529937594867313313926801
absolute error = 5.3464937979418597370394444056260e-21
relative error = 7.9248404319993215952267164702392e-18 %
Correct digits = 19
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.008
Order of pole = 1.840e-58
TOP MAIN SOLVE Loop
x[1] = 2.151
y[1] (analytic) = 0.06750006294380869510160818224963
y[1] (numeric) = 0.067500062943808695096220235670048
absolute error = 5.3879465795820739334350207682468e-21
relative error = 7.9821356375139088491127079112444e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.846
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.152
y[1] (analytic) = 0.067535150695233855317015400175483
y[1] (numeric) = 0.067535150695233855311585914572638
absolute error = 5.4294856028448887952409000099642e-21
relative error = 8.0394957987826964259566711501141e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.845
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.153
y[1] (analytic) = 0.067570265812641572376302323964423
y[1] (numeric) = 0.067570265812641572370831212894789
absolute error = 5.4711110696346294679798994114338e-21
relative error = 8.0969210403950362060086935168668e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.844
Order of pole = 1225
TOP MAIN SOLVE Loop
memory used=41.9MB, alloc=4.4MB, time=6.17
x[1] = 2.154
y[1] (analytic) = 0.067605408324497306465321535378316
y[1] (numeric) = 0.067605408324497306459808712195935
absolute error = 5.5128231823809663187703442488203e-21
relative error = 8.1544114871995457592816401350784e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.843
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.155
y[1] (analytic) = 0.06764057825930353878595308111289
y[1] (numeric) = 0.06764057825930353878039845896885
absolute error = 5.5546221440404189425550775732612e-21
relative error = 8.2119672643047154657207830720034e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.842
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.156
y[1] (analytic) = 0.06767577564559982934876413205547
y[1] (numeric) = 0.067675775645599829343167623897372
absolute error = 5.5965081580978648667963047938602e-21
relative error = 8.2695884970795172154377443192489e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.841
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.157
y[1] (analytic) = 0.067711000511962874870951296899263
y[1] (numeric) = 0.067711000511962874865312815470695
absolute error = 5.6384814285680529705414196476368e-21
relative error = 8.3272753111540146935333566737651e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.84
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.158
y[1] (analytic) = 0.067746252887006566779784843320531
y[1] (numeric) = 0.067746252887006566774104301160534
absolute error = 5.6805421599971216338229566783337e-21
relative error = 8.3850278324199752540481845902443e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.839
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.159
y[1] (analytic) = 0.067781532799382049321774593732743
y[1] (numeric) = 0.067781532799382049316051903175279
absolute error = 5.7226905574641216334140405433531e-21
relative error = 8.4428461870314833875936329481481e-18 %
Correct digits = 19
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.675
Order of pole = 2.383e-58
TOP MAIN SOLVE Loop
x[1] = 2.16
y[1] (analytic) = 0.067816840277777777777777777777778
y[1] (numeric) = 0.067816840277777777772012850951195
absolute error = 5.7649268265825438010191552694375e-21
relative error = 8.5007305014055557872308055941018e-18 %
Correct digits = 19
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.761
Order of pole = 3.771e-59
TOP MAIN SOLVE Loop
x[1] = 2.161
y[1] (analytic) = 0.067852175350919576784269640202305
y[1] (numeric) = 0.067852175350919576778462389028803
absolute error = 5.8072511735018514600387379323078e-21
relative error = 8.5586809022227580171785576586055e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.836
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.162
y[1] (analytic) = 0.067887538047570698760998120601397
y[1] (numeric) = 0.067887538047570698755148456796488
absolute error = 5.8496638049090176571050120967930e-21
relative error = 8.6166975164278227889465161808713e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.835
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.163
y[1] (analytic) = 0.067922928396531882445244440695099
y[1] (numeric) = 0.067922928396531882439352275767069
absolute error = 5.8921649280300672046456176797483e-21
relative error = 8.6747804712302698495032226837714e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.834
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.164
y[1] (analytic) = 0.067958346426641411532911955341037
y[1] (numeric) = 0.067958346426641411526977200590405
absolute error = 5.9347547506316235507909666502037e-21
relative error = 8.7329298941050274861039791997216e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.833
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.165
y[1] (analytic) = 0.067993792166775173426666145380927
y[1] (numeric) = 0.067993792166775173420688711899904
absolute error = 5.9774334810224604930008591259520e-21
relative error = 8.7911459127930556524174560358680e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.832
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.166
y[1] (analytic) = 0.068029265645846718091349153675118
y[1] (numeric) = 0.068029265645846718085328952347063
absolute error = 6.0202013280550587518457329336624e-21
relative error = 8.8494286553019707206046454619414e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.831
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.167
y[1] (analytic) = 0.068064766892807317016892790300825
y[1] (numeric) = 0.068064766892807317010829731799698
absolute error = 6.0630585011271674214379925454254e-21
relative error = 8.9077782499066718640183206860218e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.83
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.168
y[1] (analytic) = 0.068100295936646022288954458880497
y[1] (numeric) = 0.068100295936646022282848453670313
absolute error = 6.1060052101833703130691714675373e-21
relative error = 8.9661948251499690752057841323727e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.829
Order of pole = 1225
memory used=45.7MB, alloc=4.4MB, time=6.75
TOP MAIN SOLVE Loop
x[1] = 2.169
y[1] (analytic) = 0.068135852806389725767500983370696
y[1] (numeric) = 0.068135852806389725761351941704979
absolute error = 6.1490416657166572086692266207984e-21
relative error = 9.0246785098432128239123633322972e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.828
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.17
y[1] (analytic) = 0.068171437531103218373565843382939
y[1] (numeric) = 0.068171437531103218367373675304169
absolute error = 6.1921680787700000407650450035110e-21
relative error = 9.0832294330669253597978368652002e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.827
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.171
y[1] (analytic) = 0.068207050139889249484405856230042
y[1] (numeric) = 0.068207050139889249478170471569104
absolute error = 6.2353846609379340156762629609460e-21
relative error = 9.1418477241714336645927469249803e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.826
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.172
y[1] (analytic) = 0.068242690661888586437283875398674
y[1] (numeric) = 0.068242690661888586431005183774306
absolute error = 6.2786916243681436967477576949808e-21
relative error = 9.2005335127775040584363794195047e-18 %
Correct digits = 19
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.081
Order of pole = 2.305e-59
TOP MAIN SOLVE Loop
x[1] = 2.173
y[1] (analytic) = 0.068278359126280074142104608045007
y[1] (numeric) = 0.068278359126280074135782518863244
absolute error = 6.3220891817630540644796702359687e-21
relative error = 9.2592869287769784651530672219410e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.824
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.174
y[1] (analytic) = 0.068314055562280694803131188399508
y[1] (numeric) = 0.068314055562280694796765610853127
absolute error = 6.3655775463814265704775599712394e-21
relative error = 9.3181081023334123412383974665554e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.823
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.175
y[1] (analytic) = 0.068349779999145627750010679653125
y[1] (numeric) = 0.068349779999145627743601522721085
absolute error = 6.4091569320399602022072739909449e-21
relative error = 9.3769971638827142733418798033769e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.822
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.176
y[1] (analytic) = 0.068385532466168309378337213984349
y[1] (numeric) = 0.068385532466168309371884386431234
absolute error = 6.4528275531148975756013409867807e-21
relative error = 9.4359542441337872490476594817510e-18 %
Correct digits = 19
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 3.475
Order of pole = 3.594e-59
TOP MAIN SOLVE Loop
x[1] = 2.177
y[1] (analytic) = 0.068421312992680493199982018878946
y[1] (numeric) = 0.068421312992680493193485429254402
absolute error = 6.4965896245436360726261702414363e-21
relative error = 9.4949794740691716057699372088601e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.82
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.178
y[1] (analytic) = 0.068457121608052310003420117795538
y[1] (numeric) = 0.068457121608052309996879674433712
absolute error = 6.5404433618263440409820524000264e-21
relative error = 9.5540729849456896625948871131027e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.819
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.179
y[1] (analytic) = 0.068492958341692328124284034544834
y[1] (numeric) = 0.068492958341692328117699645563807
absolute error = 6.5843889810275820731709212473310e-21
relative error = 9.6132349082950920399160450218804e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.818
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.18
y[1] (analytic) = 0.068528823223047613826375373482087
y[1] (numeric) = 0.068528823223047613819746946783309
absolute error = 6.6284266987779293822300456591329e-21
relative error = 9.6724653759247056717253718276330e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.817
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.181
y[1] (analytic) = 0.068564716281603791793365691765535
y[1] (numeric) = 0.06856471628160379178669313503326
absolute error = 6.6725567322756152914932792895647e-21
relative error = 9.7317645199180835154374811544551e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.816
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.182
y[1] (analytic) = 0.068600637546885105731418625512138
y[1] (numeric) = 0.06860063754688510572470184621285
absolute error = 6.7167792992881558558052034410902e-21
relative error = 9.7911324726356559641398570405998e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.815
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.183
y[1] (analytic) = 0.068636587048454479082965778689973
y[1] (numeric) = 0.068636587048454479076204684071819
absolute error = 6.7610946181539956316774569860956e-21
relative error = 9.8505693667153839661772761106893e-18 %
memory used=49.5MB, alloc=4.4MB, time=7.34
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.814
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.184
y[1] (analytic) = 0.068672564815913575851869432028445
y[1] (numeric) = 0.068672564815913575845063929120661
absolute error = 6.8055029077841546139407572202926e-21
relative error = 9.9100753350734138569940899172861e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.813
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.185
y[1] (analytic) = 0.068708570878902861540205679106926
y[1] (numeric) = 0.068708570878902861533355674719262
absolute error = 6.8500043876638803565105781841288e-21
relative error = 9.9696505109047339081735169771901e-18 %
Correct digits = 19
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.812
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.186
y[1] (analytic) = 0.068744605267101664196902148103928
y[1] (numeric) = 0.068744605267101664190007548826073
absolute error = 6.8945992778543052949491693498078e-21
relative error = 1.0029295027683832598628640706724e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.811
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.187
y[1] (analytic) = 0.068780668010228235578465020456402
y[1] (numeric) = 0.068780668010228235571525732657408
absolute error = 6.9392877989941092885715687036750e-21
relative error = 1.0089009019165358612915409166410e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.81
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.188
y[1] (analytic) = 0.068816759138039812422030611896601
y[1] (numeric) = 0.0688167591380398124150465417243
absolute error = 6.9840701723011873999084912267447e-21
relative error = 1.0148792619384782571653585453681e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.809
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.189
y[1] (analytic) = 0.068852878680332677830977337006129
y[1] (numeric) = 0.068852878680332677823948390386555
absolute error = 7.0289466195743229294044576649128e-21
relative error = 1.0208645962659060499057303928151e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.808
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.19
y[1] (analytic) = 0.06888902666694222277333443555776
y[1] (numeric) = 0.068889026666942222766260518194565
absolute error = 7.0739173631948657232952703646014e-21
relative error = 1.0268569183587299032592647413959e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.807
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.191
y[1] (analytic) = 0.068925203127743007693224397509291
y[1] (numeric) = 0.068925203127743007686105414883163
absolute error = 7.1189826261284157726749439137220e-21
relative error = 1.0328562417051422379795474294830e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.806
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.192
y[1] (analytic) = 0.068961408092648824235576583574606
y[1] (numeric) = 0.06896140809264882422841244094268
absolute error = 7.1641426319265121218284594612807e-21
relative error = 1.0388625798216841027298592197754e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.805
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.193
y[1] (analytic) = 0.068997641591612757084350099829238
y[1] (numeric) = 0.068997641591612757077140702224509
absolute error = 7.2093976047283271039732339858928e-21
relative error = 1.0448759462533122207133296949281e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.804
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.194
y[1] (analytic) = 0.069033903654627245914504547815505
y[1] (numeric) = 0.069033903654627245907249800046243
absolute error = 7.2547477692623659226189805430483e-21
relative error = 1.0508963545734662125386271883768e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.803
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.195
y[1] (analytic) = 0.069070194311724147457957836099882
y[1] (numeric) = 0.069070194311724147450657642749034
absolute error = 7.3001933508481715968226837471843e-21
relative error = 1.0569238183841359958308873585883e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.802
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.196
y[1] (analytic) = 0.069106513592974797683770805206982
y[1] (numeric) = 0.069106513592974797676425070631584
absolute error = 7.3457345753980352886827275464541e-21
relative error = 1.0629583513159293620991915961185e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.801
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.197
y[1] (analytic) = 0.069142861528490074092798985314678
y[1] (numeric) = 0.06914286152849007408540761364526
absolute error = 7.3913716694187120314837908394449e-21
relative error = 1.0689999670281397313735205350684e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.8
Order of pole = 1225
TOP MAIN SOLVE Loop
memory used=53.4MB, alloc=4.4MB, time=7.98
x[1] = 2.198
y[1] (analytic) = 0.069179238148420458127052375047768
y[1] (numeric) = 0.069179238148420458119615270187755
absolute error = 7.4371048600131418769719717829026e-21
relative error = 1.0750486792088140851257275440410e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.799
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.199
y[1] (analytic) = 0.069215643482956097694004700157486
y[1] (numeric) = 0.069215643482956097686521765782604
absolute error = 7.4829343748821764803077148716863e-21
relative error = 1.0811045015748210779907022168789e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.798
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.2
y[1] (analytic) = 0.069252077562326869806094182825485
y[1] (numeric) = 0.069252077562326869798565322383158
absolute error = 7.5288604423263111413124971656440e-21
relative error = 1.0871674478719193288055245907190e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.797
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.201
y[1] (analytic) = 0.06928854041680244333565842578792
y[1] (numeric) = 0.069288540416802443328083542496672
absolute error = 7.5748832912474223206938825268756e-21
relative error = 1.0932375318748258914860471087476e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.796
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.202
y[1] (analytic) = 0.069325032076692341885546590442407
y[1] (numeric) = 0.069325032076692341877925587291257
absolute error = 7.6210031511505106500024765540167e-21
relative error = 1.0993147673872849062619832380629e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.795
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.203
y[1] (analytic) = 0.069361552572346006775652624582192
y[1] (numeric) = 0.069361552572346006767985404330047
absolute error = 7.6672202521454494541435112019156e-21
relative error = 1.1053991682421364317932291699186e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.794
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.204
y[1] (analytic) = 0.069398101934152860145613873402317
y[1] (numeric) = 0.069398101934152860137900338577368
absolute error = 7.7135348249487388053352580047068e-21
relative error = 1.1114907483013854586917981910875e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.793
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.205
y[1] (analytic) = 0.06943468019254236817391998694628
y[1] (numeric) = 0.069434680192542368166160039845395
absolute error = 7.7599471008852651274762135322701e-21
relative error = 1.1175895214562711049754061419709e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.792
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.206
y[1] (analytic) = 0.069471287377984104413677618213037
y[1] (numeric) = 0.069471287377984104405871160901147
absolute error = 7.8064573118900663699530213640434e-21
relative error = 1.1236955016273359939804108903136e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.791
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.207
y[1] (analytic) = 0.069507923520987813245276988727692
y[1] (numeric) = 0.069507923520987813237423923037181
absolute error = 7.8530656905101027699913926249816e-21
relative error = 1.1298087027644958152634789699532e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.79
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.208
y[1] (analytic) = 0.069544588652103473446206982499243
y[1] (numeric) = 0.069544588652103473438307210029337
absolute error = 7.8997724699060332227228631661861e-21
relative error = 1.1359291388471090690230284830247e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.789
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.209
y[1] (analytic) = 0.069581282801921361878266014949817
y[1] (numeric) = 0.069581282801921361870319437065963
absolute error = 7.9465778838539972782110809626912e-21
relative error = 1.1420568238840469945731790626097e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.788
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.21
y[1] (analytic) = 0.069618006001072117292416510606303
y[1] (numeric) = 0.069618006001072117284423028439556
absolute error = 7.9934821667474027847524534236830e-21
relative error = 1.1481917719137636834046271622313e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.787
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.211
y[1] (analytic) = 0.069654758280226804251531412101859
y[1] (numeric) = 0.069654758280226804243490926548261
absolute error = 8.0404855535987191978374022519367e-21
relative error = 1.1543339970043663773685582001538e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.786
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.212
y[1] (analytic) = 0.069691539670096977171281733345673
y[1] (numeric) = 0.069691539670096977163194145065632
absolute error = 8.0875882800412765742301744407159e-21
relative error = 1.1604835132536859525214061616006e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.785
Order of pole = 1225
TOP MAIN SOLVE Loop
memory used=57.2MB, alloc=4.4MB, time=8.58
x[1] = 2.213
y[1] (analytic) = 0.069728350201434744479414761589357
y[1] (numeric) = 0.069728350201434744471279971007026
absolute error = 8.1347905823310702706971431543520e-21
relative error = 1.1666403347893475891699761722239e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.784
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.214
y[1] (analytic) = 0.069765189905032832893673106551816
y[1] (numeric) = 0.069765189905032832885491013854468
absolute error = 8.1820926973485713669858028051679e-21
relative error = 1.1728044757688416286581563230550e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.783
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.215
y[1] (analytic) = 0.069802058811724651818605389765971
y[1] (numeric) = 0.069802058811724651810375894903371
absolute error = 8.2294948626005428327292198216773e-21
relative error = 1.1789759503795946174381616723981e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.782
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.216
y[1] (analytic) = 0.069838956952384357861519963884879
y[1] (numeric) = 0.069838956952384357853242966568657
absolute error = 8.2769973162218614580235456138647e-21
relative error = 1.1851547728390405389709758954524e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.781
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.217
y[1] (analytic) = 0.069875884357926919467833649836152
y[1] (numeric) = 0.069875884357926919459509049539174
absolute error = 8.3246002969773455674993322990594e-21
relative error = 1.1913409573946922340023845197241e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.78
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.218
y[1] (analytic) = 0.069912841059308181676068079446715
y[1] (numeric) = 0.069912841059308181667695775402452
absolute error = 8.3723040442635885377808160801846e-21
relative error = 1.1975345183242130097627280954251e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.779
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.219
y[1] (analytic) = 0.069949827087524930992746832479467
y[1] (numeric) = 0.069949827087524930984326723681357
absolute error = 8.4201087981107981383010489961978e-21
relative error = 1.2037354699354884386402440270873e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.778
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.22
y[1] (analytic) = 0.069986842473614960387447159933932
y[1] (numeric) = 0.069986842473614960378979145134748
absolute error = 8.4680147991846417155147683271107e-21
relative error = 1.2099438265666983468796121576509e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.777
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.221
y[1] (analytic) = 0.070023887248657134408260689969169
y[1] (numeric) = 0.070023887248657134399744667680381
absolute error = 8.5160222887880972406251954733773e-21
relative error = 1.2161596025863889938590715714922e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.776
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.222
y[1] (analytic) = 0.070060961443771454417918118913629
y[1] (numeric) = 0.070060961443771454409353987404766
absolute error = 8.5641315088633102410155538875864e-21
relative error = 1.2223828123935454425012344905482e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.775
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.223
y[1] (analytic) = 0.070098065090119123950833497538051
y[1] (numeric) = 0.070098065090119123942221154836057
absolute error = 8.6123427019934566356509898667802e-21
relative error = 1.2286134704176641213744876002123e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.774
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.224
y[1] (analytic) = 0.07013519821890261419132433208848
y[1] (numeric) = 0.070135198218902614182663675977076
absolute error = 8.6606561114046114947917719734989e-21
relative error = 1.2348515911188255790436416815001e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.773
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.225
y[1] (analytic) = 0.07017236086136572957326433051182
y[1] (numeric) = 0.070172360861365729564555258530852
absolute error = 8.7090719809676237444341358056373e-21
relative error = 1.2410971889877674312302670656521e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.772
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.226
y[1] (analytic) = 0.070209553048793673501426236860633
y[1] (numeric) = 0.070209553048793673492668646305433
absolute error = 8.7575905551999968359709320478921e-21
relative error = 1.2473502785459575013449351894896e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.771
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.227
y[1] (analytic) = 0.070246774812513114194772811042006
y[1] (numeric) = 0.070246774812513114185966598962738
absolute error = 8.8062120792677754016403284852047e-21
relative error = 1.2536108743456671549553754372066e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.77
Order of pole = 1225
TOP MAIN SOLVE Loop
memory used=61.0MB, alloc=4.4MB, time=9.16
x[1] = 2.228
y[1] (analytic) = 0.070284026183892250651954626881785
y[1] (numeric) = 0.070284026183892250643099690082797
absolute error = 8.8549367989874379164072122211393e-21
relative error = 1.2598789909700448287563515296697e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.769
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.229
y[1] (analytic) = 0.070321307194340878739273978915281
y[1] (numeric) = 0.070321307194340878730370213954453
absolute error = 8.9037649608277953869986380073197e-21
relative error = 1.2661546430331897546088629886345e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.768
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.23
y[1] (analytic) = 0.070358617875310457401374807393284
y[1] (numeric) = 0.070358617875310457392422110581372
absolute error = 8.9526968119118960888916736454324e-21
relative error = 1.2724378451802258792180846835517e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.767
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.231
y[1] (analytic) = 0.070395958258294174994919171712708
y[1] (numeric) = 0.070395958258294174985917439112689
absolute error = 9.0017326000189363721293051682655e-21
relative error = 1.2787286120873759800212711859438e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.766
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.232
y[1] (analytic) = 0.070433328374827015745511424849329
y[1] (numeric) = 0.070433328374827015736460552275743
absolute error = 9.0508725735861775569176842440272e-21
relative error = 1.2850269584620359778586726338427e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.765
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.233
y[1] (analytic) = 0.070470728256485826328131865390479
y[1] (numeric) = 0.070470728256485826319031748408768
absolute error = 9.1001169817108689400359292878943e-21
relative error = 1.2913328990428494470023350697878e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.764
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.234
y[1] (analytic) = 0.070508157934889382571342269443259
y[1] (numeric) = 0.070508157934889382562192803369107
absolute error = 9.1494660741521769331679314214181e-21
relative error = 1.2976464485997823231194907837471e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.763
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.235
y[1] (analytic) = 0.07054561744169845628552633203353
y[1] (numeric) = 0.070545617441698456276327411932197
absolute error = 9.1989201013331203543441680150339e-21
relative error = 1.3039676219341978097490830905091e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.762
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.236
y[1] (analytic) = 0.070583106808615882215428676617567
y[1] (numeric) = 0.070583106808615882206180197303225
absolute error = 9.2484793143425118937603914084340e-21
relative error = 1.3102964338789314838718152231570e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 3.002
Order of pole = 1.932e-58
TOP MAIN SOLVE Loop
x[1] = 2.237
y[1] (analytic) = 0.070620626067386625117256722006637
y[1] (numeric) = 0.0706206260673866251079585780417
absolute error = 9.2981439649369057753192398609142e-21
relative error = 1.3166328992983666011559646538208e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.76
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.238
y[1] (analytic) = 0.070658175249797846960610328359846
y[1] (numeric) = 0.070658175249797846951262414054303
absolute error = 9.3479143055425516353203131779649e-21
relative error = 1.3229770330885096014630621837625e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.759
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.239
y[1] (analytic) = 0.070695754387678974255504777937212
y[1] (numeric) = 0.070695754387678974246106987347955
absolute error = 9.3977905892573546398040681363873e-21
relative error = 1.3293288501770658151993996008144e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.758
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.24
y[1] (analytic) = 0.070733363512901765504753282028067
y[1] (numeric) = 0.070733363512901765495305508958214
absolute error = 9.4477730698528418621350201391748e-21
relative error = 1.3356883655235153711012006071960e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.757
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.241
y[1] (analytic) = 0.070771002657380378781975842884411
y[1] (numeric) = 0.070771002657380378772477980882635
absolute error = 9.4978620017761349424901888305598e-21
relative error = 1.3420555941191893060431670988111e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.756
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.242
y[1] (analytic) = 0.070808671853071439435501938599818
y[1] (numeric) = 0.070808671853071439425953880959666
absolute error = 9.5480576401519290509994980543437e-21
relative error = 1.3484305509873458774619967524034e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.755
Order of pole = 1225
memory used=64.8MB, alloc=4.4MB, time=9.74
TOP MAIN SOLVE Loop
x[1] = 2.243
y[1] (analytic) = 0.070846371131974107918435139686727
y[1] (numeric) = 0.070846371131974107908836779445943
absolute error = 9.5983602407844781763659359144649e-21
relative error = 1.3548132511832470789883582736353e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.754
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.244
y[1] (analytic) = 0.07088410052613014774514840862359
y[1] (numeric) = 0.07088410052613014773549963856343
absolute error = 9.6487700601595867618747001714623e-21
relative error = 1.3612037097942353598827076015811e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.753
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.245
y[1] (analytic) = 0.070921860067623993574479477873266
y[1] (numeric) = 0.07092186006762399356478019051782
absolute error = 9.6992873554466077107822991640452e-21
relative error = 1.3676019419398105488722318777052e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.752
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.246
y[1] (analytic) = 0.070959649788582819419896347820361
y[1] (numeric) = 0.07095964978858281941014643543586
absolute error = 9.7499123845004467831586502696357e-21
relative error = 1.3740079627717069829881180946325e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.751
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.247
y[1] (analytic) = 0.070997469721176606986903593742823
y[1] (numeric) = 0.070997469721176606977102948336959
absolute error = 9.8006454058635734063376180060449e-21
relative error = 1.3804217874739708420042600665370e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.75
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.248
y[1] (analytic) = 0.07103531989761821413796082032724
y[1] (numeric) = 0.071035319897618214128109333648472
absolute error = 9.8514866787680379212141636292440e-21
relative error = 1.3868434312630376890804407334734e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.749
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.249
y[1] (analytic) = 0.071073200350163443485185253362811
y[1] (numeric) = 0.071073200350163443475282816899673
absolute error = 9.9024364631374952867093389067147e-21
relative error = 1.3932729093878102182149568512681e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.748
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.25
y[1] (analytic) = 0.071111111111111111111111111111111
y[1] (numeric) = 0.071111111111111111101157616091522
absolute error = 9.9534950195892352648077500557099e-21
relative error = 1.3997102371297362091135898515842e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.747
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.251
y[1] (analytic) = 0.071149052212803115417779052452575
y[1] (numeric) = 0.071149052212803115407774389843139
absolute error = 1.0004662609436219108655845050944e-20
relative error = 1.4061554298028866900837701084686e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.746
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.252
y[1] (analytic) = 0.071187023687624506104429655261177
y[1] (numeric) = 0.071187023687624506094373715766488
absolute error = 1.0055939494689122776293440053218e-20
relative error = 1.4126085027540343095647320432135e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.745
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.253
y[1] (analytic) = 0.071225025568003553274075536561266
y[1] (numeric) = 0.071225025568003553263968210623207
absolute error = 1.0107325938058386692675300022230e-20
relative error = 1.4190694713627319169064144638981e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.744
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.254
y[1] (analytic) = 0.071263057886411816669227385880052
y[1] (numeric) = 0.071263057886411816659068563677095
absolute error = 1.0158822202956272082724326092707e-20
relative error = 1.4255383510413913530118242948512e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.743
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.255
y[1] (analytic) = 0.071301120675364215037049844830936
y[1] (numeric) = 0.071301120675364215026839416277437
absolute error = 1.0210428553498923898242979459128e-20
relative error = 1.4320151572353624514595524298876e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.742
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.256
y[1] (analytic) = 0.071339213967419095624223829352034
y[1] (numeric) = 0.071339213967419095613961684097526
absolute error = 1.0262145254508440361594989783089e-20
relative error = 1.4384999054230122507251078670409e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.741
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.257
y[1] (analytic) = 0.071377337795178303801792556185921
y[1] (numeric) = 0.071377337795178303791478583614406
absolute error = 1.0313972571514949149155156968074e-20
relative error = 1.4449926111158044181217205772541e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.74
Order of pole = 1225
memory used=68.6MB, alloc=4.4MB, time=10.33
TOP MAIN SOLVE Loop
x[1] = 2.258
y[1] (analytic) = 0.071415492191287252820269202126125
y[1] (numeric) = 0.071415492191287252809903291355366
absolute error = 1.0365910770758690237611160004778e-20
relative error = 1.4514932898583788860832547508114e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.739
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.259
y[1] (analytic) = 0.071453677188434993695284793278438
y[1] (numeric) = 0.071453677188434993684866833159246
absolute error = 1.0417960119192105436287736948641e-20
relative error = 1.4580019572286317014138721790293e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.738
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.26
y[1] (analytic) = 0.071491892819354285224055592095856
y[1] (numeric) = 0.071491892819354285213585471211374
absolute error = 1.0470120884481934628750397429038e-20
relative error = 1.4645186288377950881310905907842e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.737
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.261
y[1] (analytic) = 0.071530139116821664132949922250315
y[1] (numeric) = 0.071530139116821664122427528915304
absolute error = 1.0522393335011318747032974892554e-20
relative error = 1.4710433203305177245308937998786e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.736
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.262
y[1] (analytic) = 0.071568416113657515356435045507493
y[1] (numeric) = 0.071568416113657515345860267767611
absolute error = 1.0574777739881909501920821543564e-20
relative error = 1.4775760473849452351055695561575e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.735
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.263
y[1] (analytic) = 0.071606723842726142447685380678172
y[1] (numeric) = 0.071606723842726142437058106309256
absolute error = 1.0627274368915985892809296163406e-20
relative error = 1.4841168257128008979469770569302e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.734
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.264
y[1] (analytic) = 0.071645062336935838121134032436299
y[1] (numeric) = 0.07164506233693583811045414894364
absolute error = 1.0679883492658577520745395170995e-20
relative error = 1.4906656710594665682699791919661e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.733
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.265
y[1] (analytic) = 0.071683431629238954927250277325276
y[1] (numeric) = 0.071683431629238954916517671942897
absolute error = 1.0732605382379594728348931946027e-20
relative error = 1.4972225992040638186928147915676e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.732
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.266
y[1] (analytic) = 0.071721831752631976059826335625467
y[1] (numeric) = 0.071721831752631976049040895315391
absolute error = 1.0785440310075965590398580090848e-20
relative error = 1.5037876259595352969132334495316e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.731
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.267
y[1] (analytic) = 0.071760262740155586296057440932872
y[1] (numeric) = 0.071760262740155586285219052384398
absolute error = 1.0838388548473779778957364485662e-20
relative error = 1.5103607671727263014212699278604e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.73
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.268
y[1] (analytic) = 0.07179872462489474306969990430666
y[1] (numeric) = 0.071798724624894743058808453935629
absolute error = 1.0891450371030439327001811227902e-20
relative error = 1.5169420387244665758915967446344e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.729
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.269
y[1] (analytic) = 0.071837217439978747677592556687287
y[1] (numeric) = 0.07183721743997874766664793063535
absolute error = 1.0944626051936816314608955381228e-20
relative error = 1.5235314565296523229004623273958e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.728
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.27
y[1] (analytic) = 0.071875741218581316619827641972558
y[1] (numeric) = 0.071875741218581316608829726106438
absolute error = 1.0997915866119417501845755440616e-20
relative error = 1.5301290365373284376142981086974e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.727
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.271
y[1] (analytic) = 0.071914295993920653073857923671748
y[1] (numeric) = 0.071914295993920653062806603582506
absolute error = 1.1051320089242555932596177102434e-20
relative error = 1.5367347947307709620991611752345e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.726
Order of pole = 1225
TOP MAIN SOLVE Loop
memory used=72.4MB, alloc=4.4MB, time=10.91
x[1] = 2.272
y[1] (analytic) = 0.071952881799259518502827460443184
y[1] (numeric) = 0.071952881799259518491722621445473
absolute error = 1.1104838997710529533652287874315e-20
relative error = 1.5433487471275697609022695844063e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.725
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.273
y[1] (analytic) = 0.071991498667905304398414200063943
y[1] (numeric) = 0.071991498667905304387255727195273
absolute error = 1.1158472868669806733487149838278e-20
relative error = 1.5499709097797114185589852595594e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.724
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.274
y[1] (analytic) = 0.072030146633210104158473237487139
y[1] (numeric) = 0.072030146633210104147261015507128
absolute error = 1.1212221980011219125219112068273e-20
relative error = 1.5566012987736623596807044949635e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.723
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.275
y[1] (analytic) = 0.07206882572857078509977028061799
y[1] (numeric) = 0.072068825728570785088504194007618
absolute error = 1.1266086610372161198369288383790e-20
relative error = 1.5632399302304521922812285713032e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.722
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.276
y[1] (analytic) = 0.072107535987429060606095567290176
y[1] (numeric) = 0.072107535987429060594775500251037
absolute error = 1.1320067039138797164106561885095e-20
relative error = 1.5698868203057572750013068297739e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.721
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.277
y[1] (analytic) = 0.072146277443271562412049178654312
y[1] (numeric) = 0.072146277443271562400675015107863
absolute error = 1.1374163546448274898767386661263e-20
relative error = 1.5765419851899845088931718054999e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.72
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.278
y[1] (analytic) = 0.072185050129629913022789397806325
y[1] (numeric) = 0.072185050129629913011361021393134
absolute error = 1.1428376413190947030530960794721e-20
relative error = 1.5832054411083553544290207068213e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.719
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.279
y[1] (analytic) = 0.072223854080080798270036467990641
y[1] (numeric) = 0.072223854080080798258553762069628
absolute error = 1.1482705921012599194224024918358e-20
relative error = 1.5898772043209900743995396739962e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.718
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.28
y[1] (analytic) = 0.072262689328246040004624812117008
y[1] (numeric) = 0.072262689328246039993087659764691
absolute error = 1.1537152352316685479323598733446e-20
relative error = 1.5965572911229922033707168871293e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.717
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.281
y[1] (analytic) = 0.0723015559077926689258974846361
y[1] (numeric) = 0.072301555907792668914305768645834
absolute error = 1.1591715990266571096320405696158e-20
relative error = 1.6032457178445332443693477468773e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.716
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.282
y[1] (analytic) = 0.072340453852432997548237338033341
y[1] (numeric) = 0.072340453852432997536590940914553
absolute error = 1.1646397118787782286700555162396e-20
relative error = 1.6099425008509375934698000510071e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.715
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.283
y[1] (analytic) = 0.072379383195924693305030099328399
y[1] (numeric) = 0.072379383195924693293328903305829
absolute error = 1.1701196022570263501898253287388e-20
relative error = 1.6166476565427676929567793636310e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.714
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.284
y[1] (analytic) = 0.072418343972070851790355267015124
y[1] (numeric) = 0.072418343972070851778599154028054
absolute error = 1.1756112987070641876667900557965e-20
relative error = 1.6233612013559094137410146504715e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.713
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.285
y[1] (analytic) = 0.072457336214720070138701455849028
y[1] (numeric) = 0.072457336214720070126890307550513
absolute error = 1.1811148298514499022419906649290e-20
relative error = 1.6300831517616576677069717614585e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.712
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.286
y[1] (analytic) = 0.072496359957766520543003535792468
y[1] (numeric) = 0.072496359957766520531137233548569
absolute error = 1.1866302243898650166160914009022e-20
relative error = 1.6368135242668022506738975101399e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.711
Order of pole = 1225
TOP MAIN SOLVE Loop
memory used=76.2MB, alloc=4.4MB, time=11.48
x[1] = 2.287
y[1] (analytic) = 0.072535415235150023911299632267205
y[1] (numeric) = 0.072535415235150023899378057156212
absolute error = 1.1921575110993430660775871853334e-20
relative error = 1.6435523354137139166536999566677e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.71
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.288
y[1] (analytic) = 0.07257450208085612366230677764566
y[1] (numeric) = 0.072574502080856123650329810457315
absolute error = 1.1976967188344989892486543791220e-20
relative error = 1.6502996017804306840913810765277e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.709
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.289
y[1] (analytic) = 0.072613620528916159660214728641811
y[1] (numeric) = 0.072613620528916159648182249876533
absolute error = 1.2032478765277592611418566764272e-20
relative error = 1.6570553399807443747759563198407e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.708
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.29
y[1] (analytic) = 0.072652770613407342288998190946012
y[1] (numeric) = 0.072652770613407342276910080814116
absolute error = 1.2088110131895927711307108094428e-20
relative error = 1.6638195666642873861120216652251e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.707
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.291
y[1] (analytic) = 0.072691952368452826666548421090814
y[1] (numeric) = 0.072691952368452826654404559511727
absolute error = 1.2143861579087424484469492875746e-20
relative error = 1.6705922985166196974443626772341e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.706
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.292
y[1] (analytic) = 0.072731165828221786998925906143049
y[1] (numeric) = 0.072731165828221786986726172744524
absolute error = 1.2199733398524576378271897439476e-20
relative error = 1.6773735522593161111302418167629e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.705
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.293
y[1] (analytic) = 0.072770411026929491075036554396719
y[1] (numeric) = 0.072770411026929491062780828514052
absolute error = 1.2255725882667272279416327883937e-20
relative error = 1.6841633446500537290562498591555e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.704
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.294
y[1] (analytic) = 0.072809687998837374902034564797564
y[1] (numeric) = 0.072809687998837374889722725472799
absolute error = 1.2311839324765135352473627419092e-20
relative error = 1.6909616924826996652988647747537e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.703
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.295
y[1] (analytic) = 0.072848996778253117481755879369346
y[1] (numeric) = 0.072848996778253117469387805350486
absolute error = 1.2368074018859869459188184265506e-20
relative error = 1.6977686125873989956301268511721e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.702
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.296
y[1] (analytic) = 0.072888337399530715728486861439854
y[1] (numeric) = 0.072888337399530715716062431180066
absolute error = 1.2424430259787613185180344811493e-20
relative error = 1.7045841218306629445721122156127e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.701
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.297
y[1] (analytic) = 0.072927709897070559528373582987249
y[1] (numeric) = 0.072927709897070559515892674644068
absolute error = 1.2480908343181301500773276422044e-20
relative error = 1.7114082371154573107061682791383e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.7
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.298
y[1] (analytic) = 0.072967114305319506940777846950602
y[1] (numeric) = 0.072967114305319506928240338385129
absolute error = 1.2537508565473035082772172467527e-20
relative error = 1.7182409753812911309451640032165e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.699
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.299
y[1] (analytic) = 0.073006550658770959541886814878239
y[1] (numeric) = 0.073006550658770959529292583654342
absolute error = 1.2594231223896457324125250566554e-20
relative error = 1.7250823536043055844793053123556e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.698
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.3
y[1] (analytic) = 0.073046018991964937910883856829803
y[1] (numeric) = 0.073046018991964937898232780213314
absolute error = 1.2651076616489139058497965491132e-20
relative error = 1.7319323887973631371083714757360e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.697
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.301
y[1] (analytic) = 0.073085519339488157258988989008742
y[1] (numeric) = 0.073085519339488157246280943966647
absolute error = 1.2708045042094971026894242446795e-20
relative error = 1.7387910980101369266755418859676e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.696
Order of pole = 1225
TOP MAIN SOLVE Loop
memory used=80.1MB, alloc=4.4MB, time=12.06
x[1] = 2.302
y[1] (analytic) = 0.073125051735974103201678015187196
y[1] (numeric) = 0.073125051735974103188912878386829
absolute error = 1.2765136800366564113561336307590e-20
relative error = 1.7456584983292003903203044051890e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.695
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.303
y[1] (analytic) = 0.073164616216103107674390240601109
y[1] (numeric) = 0.073164616216103107661567888409341
absolute error = 1.2822352191767657378518139655613e-20
relative error = 1.7525346068781171342702663584824e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.694
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.304
y[1] (analytic) = 0.073204212814602424992035381645771
y[1] (numeric) = 0.073204212814602424979155690128196
absolute error = 1.2879691517575533914150398955387e-20
relative error = 1.7594194408175310468940273629655e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.693
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.305
y[1] (analytic) = 0.073243841566246308052611051397035
y[1] (numeric) = 0.073243841566246308039673896317151
absolute error = 1.2937155079883444553420355701552e-20
relative error = 1.7663130173452566557396195190218e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.692
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.306
y[1] (analytic) = 0.073283502505856084685242959727198
y[1] (numeric) = 0.073283502505856084672248216545595
absolute error = 1.2994743181603039457342809738839e-20
relative error = 1.7732153536963697292853750891345e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.691
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.307
y[1] (analytic) = 0.073323195668300234142960727583138
y[1] (numeric) = 0.073323195668300234129908271456671
absolute error = 1.3052456126466807609484506999693e-20
relative error = 1.7801264671432981241324446810405e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.69
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.308
y[1] (analytic) = 0.073362921088494463740522977853788
y[1] (numeric) = 0.073362921088494463727412683634758
absolute error = 1.3110294219030524245349085478862e-20
relative error = 1.7870463749959128783705601668674e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.689
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.309
y[1] (analytic) = 0.073402678801401785637606130180678
y[1] (numeric) = 0.073402678801401785624437872416003
absolute error = 1.3168257764675706244615573216199e-20
relative error = 1.7939750946016195518510161401499e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.688
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.31
y[1] (analytic) = 0.073442468842032593767672094065114
y[1] (numeric) = 0.073442468842032593754445746995502
absolute error = 1.3226347069612075514304622247595e-20
relative error = 1.8009126433454498141032316698547e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.687
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.311
y[1] (analytic) = 0.073482291245444740912830823704887
y[1] (numeric) = 0.073482291245444740899546261264007
absolute error = 1.3284562440880030391053284776853e-20
relative error = 1.8078590386501532806336504866175e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.686
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.312
y[1] (analytic) = 0.073522146046743615925014469158342
y[1] (numeric) = 0.073522146046743615911671564971989
absolute error = 1.3342904186353125090786194094387e-20
relative error = 1.8148142979762895983481425632853e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.685
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.313
y[1] (analytic) = 0.073562033281082221093780631690421
y[1] (numeric) = 0.07356203328108222108037925907568
absolute error = 1.3401372614740557234178504906604e-20
relative error = 1.8217784388223207808414833616672e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.684
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.314
y[1] (analytic) = 0.07360195298366124966106300651024
y[1] (numeric) = 0.07360195298366124964760303847465
absolute error = 1.3459968035589663476413877636124e-20
relative error = 1.8287514787247037942999088423546e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.683
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.315
y[1] (analytic) = 0.073641905189729163483188473569
y[1] (numeric) = 0.073641905189729163469669782809711
absolute error = 1.3518690759288423269849160809621e-20
relative error = 1.8357334352579833947651747069502e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.682
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.316
y[1] (analytic) = 0.073681889934582270840480476656988
y[1] (numeric) = 0.07368188993458227082690293555992
absolute error = 1.3577541097067970788306236778059e-20
relative error = 1.8427243260348852175109872945372e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.681
Order of pole = 1225
memory used=83.9MB, alloc=4.4MB, time=12.64
TOP MAIN SOLVE Loop
x[1] = 2.317
y[1] (analytic) = 0.073721907253564804394769312725308
y[1] (numeric) = 0.073721907253564804381132793364303
absolute error = 1.3636519361005115041820750633129e-20
relative error = 1.8497241687064091192851211193482e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.68
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.318
y[1] (analytic) = 0.073761957182068999295130737168149
y[1] (numeric) = 0.073761957182068999281435111304124
absolute error = 1.3695625864024868210787142222333e-20
relative error = 1.8567329809619227741729942471380e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.679
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.319
y[1] (analytic) = 0.073802039755535171432175076741206
y[1] (numeric) = 0.073802039755535171418420215821303
absolute error = 1.3754860919902982228549548561016e-20
relative error = 1.8637507805292555238409375965967e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.678
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.32
y[1] (analytic) = 0.073842155009451795841209829867675
y[1] (numeric) = 0.073842155009451795827395605024406
absolute error = 1.3814224843268493641598740639117e-20
relative error = 1.8707775851747924829198678523118e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.677
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.321
y[1] (analytic) = 0.073882302979355585254599524301404
y[1] (numeric) = 0.073882302979355585240725806351798
absolute error = 1.3873717949606276776646306578985e-20
relative error = 1.8778134127035689002925560204514e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.676
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.322
y[1] (analytic) = 0.073922483700831568803647394483786
y[1] (numeric) = 0.073922483700831568789714053928526
absolute error = 1.3933340555259605243958794282863e-20
relative error = 1.8848582809593647770501747807957e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.675
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.323
y[1] (analytic) = 0.073962697209513170870324235453146
y[1] (numeric) = 0.073962697209513170856331142475713
absolute error = 1.3993092977432721806446483088090e-20
relative error = 1.8919122078247997418863077224391e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.674
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.324
y[1] (analytic) = 0.074002943541082290089170586849263
y[1] (numeric) = 0.074002943541082290075117611315069
absolute error = 1.4052975534193416644113867507567e-20
relative error = 1.8989752112214281846991123289693e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.673
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.325
y[1] (analytic) = 0.074043222731269378499699199407654
y[1] (numeric) = 0.074043222731269378485586210863179
absolute error = 1.4112988544475614043591808864387e-20
relative error = 1.9060473091098346491748462359409e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.672
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.326
y[1] (analytic) = 0.07408353481585352084962553736492
y[1] (numeric) = 0.074083534815853520835452405036838
absolute error = 1.4173132328081967542584644534008e-20
relative error = 1.9131285194897294851284928528194e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.671
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.327
y[1] (analytic) = 0.074123879830662514049254873404196
y[1] (numeric) = 0.07412387983066251403502146619851
absolute error = 1.4233407205686463559179341595243e-20
relative error = 1.9202188604000447613797579572818e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.67
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.328
y[1] (analytic) = 0.074164257811572946777355338165283
y[1] (numeric) = 0.074164257811572946763061524666446
absolute error = 1.4293813498837033536078043982494e-20
relative error = 1.9273183499190304399452533659365e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.669
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.329
y[1] (analytic) = 0.074204668794510279238847093933687
y[1] (numeric) = 0.074204668794510279224492742403729
absolute error = 1.4354351529958174629930091755066e-20
relative error = 1.9344270061643508123302372964339e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.668
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.33
y[1] (analytic) = 0.074245112815448923074638611913371
y[1] (numeric) = 0.074245112815448923060223590291017
absolute error = 1.4415021622353578976054789893646e-20
relative error = 1.9415448472931811987058435959853e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.667
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.331
y[1] (analytic) = 0.07428558991041232142394184448594
y[1] (numeric) = 0.074285589910412321409466020385732
absolute error = 1.4475824100208771558961874146959e-20
relative error = 1.9486718915023049107603036550361e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.666
Order of pole = 1225
memory used=87.7MB, alloc=4.4MB, time=13.22
TOP MAIN SOLVE Loop
x[1] = 2.332
y[1] (analytic) = 0.07432610011547302913939889807097
y[1] (numeric) = 0.074326100115473029124862138782376
absolute error = 1.4536759288593756719192764940807e-20
relative error = 1.9558081570282104790152455869296e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.665
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.333
y[1] (analytic) = 0.074366643466752793155353628634846
y[1] (numeric) = 0.074366643466752793140755801121381
absolute error = 1.4597827513465673327122319294008e-20
relative error = 1.9629536621471891454007451696909e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.664
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.334
y[1] (analytic) = 0.074407220000422633009602400555495
y[1] (numeric) = 0.074407220000422632994943371453823
absolute error = 1.4659029101671458654477887137861e-20
relative error = 1.9701084251754326218854021495096e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.663
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.335
y[1] (analytic) = 0.074447829752702921518959070444398
y[1] (numeric) = 0.074447829752702921504238706063447
absolute error = 1.4720364380950520974450054493848e-20
relative error = 1.9772724644691311159603238322362e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.662
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.336
y[1] (analytic) = 0.074488472759863465608970080662077
y[1] (numeric) = 0.07448847275986346559418824698214
absolute error = 1.4781833679937420921387513724296e-20
relative error = 1.9844457984245716237785154744725e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.661
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.337
y[1] (analytic) = 0.074529149058223587298116372645447
y[1] (numeric) = 0.074529149058223587283272935317283
absolute error = 1.4843437328164561641187042638238e-20
relative error = 1.9916284454782364917538038650450e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.66
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.338
y[1] (analytic) = 0.074569858684152204836839657801901
y[1] (numeric) = 0.074569858684152204821934482145836
absolute error = 1.4905175656064887763608601725229e-20
relative error = 1.9988204241069022474260566963415e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.659
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.339
y[1] (analytic) = 0.074610601674067914001731413622448
y[1] (numeric) = 0.074610601674067913986764364627474
absolute error = 1.4967048994974593227865074328634e-20
relative error = 2.0060217528277387004021058988581e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.658
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.34
y[1] (analytic) = 0.074651378064439069545223804831437
y[1] (numeric) = 0.074651378064439069530194747154301
absolute error = 1.5029057677135837992956180291983e-20
relative error = 2.0132324501984083141844380871929e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.657
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.341
y[1] (analytic) = 0.074692187891783866801122563830263
y[1] (numeric) = 0.074692187891783866786031361794564
absolute error = 1.5091202035699473664336591662563e-20
relative error = 2.0204525348171658497023796776065e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.656
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.342
y[1] (analytic) = 0.07473303119267042344632270141374
y[1] (numeric) = 0.074733031192670423431169219009012
absolute error = 1.5153482404727778068629271570390e-20
relative error = 2.0276820253229582813631781222961e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.655
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.343
y[1] (analytic) = 0.074773908003716861419048757747418
y[1] (numeric) = 0.074773908003716861403832858628221
absolute error = 1.5215899119197198808216546583306e-20
relative error = 2.0349209403955249864430640999728e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.654
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.344
y[1] (analytic) = 0.074814818361591388993962144898946
y[1] (numeric) = 0.074814818361591388978683692383945
absolute error = 1.5278452515001105827663410845110e-20
relative error = 2.0421692987554982086410724426179e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.653
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.345
y[1] (analytic) = 0.07485576230301238301447897582346
y[1] (numeric) = 0.074855762303012382999137832894508
absolute error = 1.5341142928952553024050049318868e-20
relative error = 2.0494271191645037966211021010199e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.652
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.346
y[1] (analytic) = 0.074896739864748471282642620618953
y[1] (numeric) = 0.074896739864748471267238649920166
absolute error = 1.5403970698787048933413559677034e-20
relative error = 2.0566944204252622183704075935680e-17 %
Correct digits = 18
h = 0.001
memory used=91.5MB, alloc=4.4MB, time=13.80
Real estimate of pole used for equation 1
Radius of convergence = 3.651
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.347
y[1] (analytic) = 0.074937751083618615106896079099494
y[1] (numeric) = 0.074937751083618615091429142936329
absolute error = 1.5466936163165336525622350009673e-20
relative error = 2.0639712213816898522054361807023e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.65
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.348
y[1] (analytic) = 0.074978795996492192008100109289093
y[1] (numeric) = 0.074978795996492191992570069627417
absolute error = 1.5530039661676182140130694777612e-20
relative error = 2.0712575409190005552586564984127e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.649
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.349
y[1] (analytic) = 0.075019874640289078584143904323853
y[1] (numeric) = 0.075019874640289078568550622789014
absolute error = 1.5593281534839173595185446545208e-20
relative error = 2.0785533979638075102827656054376e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.648
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.35
y[1] (analytic) = 0.075060987051979733533495965471946
y[1] (numeric) = 0.075060987051979733517839303347838
absolute error = 1.5656662124107527503181928224121e-20
relative error = 2.0858588114842253516114123876585e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.647
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.351
y[1] (analytic) = 0.075102133268585280838043676546828
y[1] (numeric) = 0.075102133268585280822323494774957
absolute error = 1.5720181771870905824991572092199e-20
relative error = 2.0931738004899725711183360571361e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.646
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.352
y[1] (analytic) = 0.075143313327177593105570944906125
y[1] (numeric) = 0.075143313327177593089787104084667
absolute error = 1.5783840821458241696209929977734e-20
relative error = 2.1004983840324742050195891199041e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.645
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.353
y[1] (analytic) = 0.075184527264879375072224136503825
y[1] (numeric) = 0.075184527264879375056376496886684
absolute error = 1.5847639617140574558400255987163e-20
relative error = 2.1078325812049648023662947038516e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.644
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.354
y[1] (analytic) = 0.075225775118864247265317397103928
y[1] (numeric) = 0.075225775118864247249405818599794
absolute error = 1.5911578504133894628534961282298e-20
relative error = 2.1151764111425916760781785737335e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.643
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.355
y[1] (analytic) = 0.075267056926356829826829318776685
y[1] (numeric) = 0.075267056926356829810853660948083
absolute error = 1.5975657828601996739964861970772e-20
relative error = 2.1225298930225184373709165526523e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.642
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.356
y[1] (analytic) = 0.075308372724632826497943780191127
y[1] (numeric) = 0.075308372724632826481903902253467
absolute error = 1.6039877937659343588374288460497e-20
relative error = 2.1298930460640288144331484565479e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.641
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.357
y[1] (analytic) = 0.075349722551019108764988660997002
y[1] (numeric) = 0.075349722551019108748884421817628
absolute error = 1.6104239179373938416308799956306e-20
relative error = 2.1372658895286307562118300687131e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.64
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.358
y[1] (analytic) = 0.075391106442893800167127004762607
y[1] (numeric) = 0.075391106442893800150958262859837
absolute error = 1.6168741902770207169991453466143e-20
relative error = 2.1446484427201608221674251737329e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.639
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.359
y[1] (analytic) = 0.07543252443768636076615608150967
y[1] (numeric) = 0.075432524437686360749922695051838
absolute error = 1.6233386457831890162273315067469e-20
relative error = 2.1520407249848888588632802732495e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.638
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.36
y[1] (analytic) = 0.075473976572877671778770679869581
y[1] (numeric) = 0.075473976572877671762472506674076
absolute error = 1.6298173195504943275694174605304e-20
relative error = 2.1594427557116229642563753585044e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.637
Order of pole = 1225
TOP MAIN SOLVE Loop
memory used=95.3MB, alloc=4.5MB, time=14.39
x[1] = 2.361
y[1] (analytic) = 0.075515462886000120371647840284192
y[1] (numeric) = 0.075515462886000120355284737816491
absolute error = 1.6363102467700448739760235805719e-20
relative error = 2.1668545543318147405595050557503e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.636
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.362
y[1] (analytic) = 0.07555698341463768461971112449645
y[1] (numeric) = 0.075556983414637684603282949869153
absolute error = 1.6428174627297535516676904357884e-20
relative error = 2.1742761403196648365478156296039e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.635
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.363
y[1] (analytic) = 0.07559853819642601862793340282855
y[1] (numeric) = 0.075598538196426018611440012800403
absolute error = 1.6493390028146309329906689220219e-20
relative error = 2.1817075331922287801855047655985e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.634
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.364
y[1] (analytic) = 0.075640127269052537817038029435507
y[1] (numeric) = 0.075640127269052537800479280410436
absolute error = 1.6558749025070792370054669629268e-20
relative error = 2.1891487525095231024513827961506e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.633
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.365
y[1] (analytic) = 0.075681750670256504373459166857448
y[1] (numeric) = 0.075681750670256504356834914883576
absolute error = 1.6624251973871872712716964432153e-20
relative error = 2.1965998178746317532448961235904e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.632
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.366
y[1] (analytic) = 0.075723408437829112863922914781785
y[1] (numeric) = 0.075723408437829112847233015550455
absolute error = 1.6689899231330263483061173834736e-20
relative error = 2.2040607489338128102571260696987e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.631
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.367
y[1] (analytic) = 0.075765100609613576015011793974386
y[1] (numeric) = 0.075765100609613575998256102819177
absolute error = 1.6755691155209471802041848878957e-20
relative error = 2.2115315653766054816941992833836e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.63
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.368
y[1] (analytic) = 0.07580682722350521065807603485416
y[1] (numeric) = 0.075806827223505210641254406749901
absolute error = 1.6821628104258777549288683366787e-20
relative error = 2.2190122869359374037434792069303e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.629
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.369
y[1] (analytic) = 0.075848588317451523839856021175712
y[1] (numeric) = 0.075848588317451523822968310737496
absolute error = 1.6887710438216221977840318978495e-20
relative error = 2.2265029333882322336758519770384e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.628
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.37
y[1] (analytic) = 0.075890383929452299099181142757401
y[1] (numeric) = 0.07589038392945229908222720423959
absolute error = 1.6953938517811606216032409445037e-20
relative error = 2.2340035245535175394803745601631e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.627
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.371
y[1] (analytic) = 0.075932214097559682910111217154667
y[1] (numeric) = 0.075932214097559682893090904449897
absolute error = 1.7020312704769499691984906294808e-20
relative error = 2.2415140802955329869305179332127e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.626
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.372
y[1] (analytic) = 0.075974078859878271291887548638605
y[1] (numeric) = 0.075974078859878271274800715276793
absolute error = 1.7086833361812258516270409382476e-20
relative error = 2.2490346205218388249842137612936e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.625
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.373
y[1] (analytic) = 0.076015978254565196586061603804873
y[1] (numeric) = 0.07601597825456519656890810295221
absolute error = 1.7153500852663053858482872611848e-20
relative error = 2.2565651651839246704228993349943e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.624
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.374
y[1] (analytic) = 0.076057912319830214401170196615788
y[1] (numeric) = 0.076057912319830214383949881073739
absolute error = 1.7220315542048910353563971487569e-20
relative error = 2.2641057342773185926377525518609e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.623
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.375
y[1] (analytic) = 0.076099881093935790725326991676576
y[1] (numeric) = 0.076099881093935790708039713880872
absolute error = 1.7287277795703754573883026885272e-20
relative error = 2.2716563478416964994743165016428e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.622
Order of pole = 1225
TOP MAIN SOLVE Loop
memory used=99.1MB, alloc=4.5MB, time=14.96
x[1] = 2.376
y[1] (analytic) = 0.076141884615197189207101053072721
y[1] (numeric) = 0.07614188461519718918974666509235
absolute error = 1.7354387980371473603205541241809e-20
relative error = 2.2792170259609918250497317841219e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.621
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.377
y[1] (analytic) = 0.076183922921982558605054087156998
y[1] (numeric) = 0.076183922921982558587632440693189
absolute error = 1.7421646463808983748825141773485e-20
relative error = 2.2867877887635055204598240936206e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.62
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.378
y[1] (analytic) = 0.076225996052713020406308951279697
y[1] (numeric) = 0.076225996052713020388819897664908
absolute error = 1.7489053614789309428274042879814e-20
relative error = 2.2943686564220163482963348875131e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.619
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.379
y[1] (analytic) = 0.076268104045862756614522926611551
y[1] (numeric) = 0.076268104045862756596966316808446
absolute error = 1.7556609803104672267168039144121e-20
relative error = 2.3019596491538914818976341593166e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.618
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.38
y[1] (analytic) = 0.076310246939959097707640181923629
y[1] (numeric) = 0.076310246939959097690015866524059
absolute error = 1.7624315399569590444883523873421e-20
relative error = 2.3095607872211974102593165024686e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.617
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.381
y[1] (analytic) = 0.076352424773582610765798786469831
y[1] (numeric) = 0.076352424773582610748106615693807
absolute error = 1.7692170776023988324906098513448e-20
relative error = 2.3171720909308111495341548211248e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.616
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.382
y[1] (analytic) = 0.076394637585367187769768563973328
y[1] (numeric) = 0.076394637585367187752008387667992
absolute error = 1.7760176305336316406832998127785e-20
relative error = 2.3247935806345317620539702618485e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.615
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.383
y[1] (analytic) = 0.076436885414000134070297016156235
y[1] (numeric) = 0.076436885414000134052468683794828
absolute error = 1.7828332361406681637154810052236e-20
relative error = 2.3324252767291921838090722476748e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 0.6051
Order of pole = 6.96e-60
TOP MAIN SOLVE Loop
x[1] = 2.384
y[1] (analytic) = 0.076479168298222257028741483279818
y[1] (numeric) = 0.076479168298222257010844843960648
absolute error = 1.7896639319169988116085809448584e-20
relative error = 2.3400671996567713613240289366935e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.613
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.385
y[1] (analytic) = 0.076521486276827954829366650788458
y[1] (numeric) = 0.076521486276827954811401553233859
absolute error = 1.7965097554599088237856679419899e-20
relative error = 2.3477193699045066988716460441212e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.612
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.386
y[1] (analytic) = 0.076563839388665305463687455382423
y[1] (numeric) = 0.076563839388665305445653747937715
absolute error = 1.8033707444707944302028427258943e-20
relative error = 2.3553818080050068169701608031535e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.611
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.387
y[1] (analytic) = 0.076606227672636155887238390690076
y[1] (numeric) = 0.076606227672636155869135921322521
absolute error = 1.8102469367554800633531954941043e-20
relative error = 2.3630545345363646231117979391879e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 3.521
Order of pole = 8.694e-59
TOP MAIN SOLVE Loop
x[1] = 2.388
y[1] (analytic) = 0.076648651167696211349151162177508
y[1] (numeric) = 0.076648651167696211330979778475263
absolute error = 1.8171383702245366249283993814496e-20
relative error = 2.3707375701222706956739859379654e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.609
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.389
y[1] (analytic) = 0.076691109912855124894923593030649
y[1] (numeric) = 0.076691109912855124876683142201713
absolute error = 1.8240450828936008109376973269156e-20
relative error = 2.3784309354321269819676946446495e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.608
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.39
y[1] (analytic) = 0.076733603947176587042763637479762
y[1] (numeric) = 0.076733603947176587024453966350925
absolute error = 1.8309671128836954990987863674167e-20
relative error = 2.3861346511811608113805293818811e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.607
Order of pole = 1225
TOP MAIN SOLVE Loop
memory used=103.0MB, alloc=4.5MB, time=15.54
x[1] = 2.391
y[1] (analytic) = 0.076776133309778415633893315416855
y[1] (numeric) = 0.076776133309778415615514270432639
absolute error = 1.8379044984215512023299117778078e-20
relative error = 2.3938487381305392245754023646445e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.606
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.392
y[1] (analytic) = 0.076818698039832645857198342191041
y[1] (numeric) = 0.076818698039832645838749769412642
absolute error = 1.8448572778399285921873534781275e-20
relative error = 2.4015732170874836197087992627495e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 0.7369
Order of pole = 5.885e-59
TOP MAIN SOLVE Loop
x[1] = 2.393
y[1] (analytic) = 0.076861298176565620448610190163306
y[1] (numeric) = 0.076861298176565620430091935267527
absolute error = 1.8518254895779420961074190156508e-20
relative error = 2.4093081089053847166358673624755e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.604
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.394
y[1] (analytic) = 0.076903933759258080065608283968698
y[1] (numeric) = 0.076903933759258080047020192246884
absolute error = 1.8588091721813845723270514756572e-20
relative error = 2.4170534344839178400727719522119e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.603
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.395
y[1] (analytic) = 0.076946604827245253837230999478687
y[1] (numeric) = 0.076946604827245253818572915835656
absolute error = 1.8658083643030530663722171569493e-20
relative error = 2.4248092147691585226899993477142e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.602
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.396
y[1] (analytic) = 0.076989311419916950089985107187599
y[1] (numeric) = 0.076989311419916950071256876140568
absolute error = 1.8728231047030756530183570435126e-20
relative error = 2.4325754707536984291135284260489e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.601
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.397
y[1] (analytic) = 0.077032053576717647250044274172793
y[1] (numeric) = 0.077032053576717647231245739850301
absolute error = 1.8798534322492393676423682909692e-20
relative error = 2.4403522234767616018140476987360e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.6
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.398
y[1] (analytic) = 0.077074831337146584922128214906827
y[1] (numeric) = 0.077074831337146584903259221047654
absolute error = 1.8868993859173192309008274056816e-20
relative error = 2.4481394940243210298676618695585e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.015
Order of pole = 1.187e-59
TOP MAIN SOLVE Loop
x[1] = 2.399
y[1] (analytic) = 0.077117644740757855145455060039557
y[1] (numeric) = 0.077117644740757855126515449991643
absolute error = 1.8939610047914083706844758068492e-20
relative error = 2.4559373035292155415748105367051e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.598
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.4
y[1] (analytic) = 0.07716049382716049382716049382716
y[1] (numeric) = 0.077160493827160493808150110546518
absolute error = 1.9010383280642492453143613103767e-20
relative error = 2.4637456731712670219274122582481e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.597
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.401
y[1] (analytic) = 0.07720337863601857235357819517184
y[1] (numeric) = 0.077203378636018572334496881221464
absolute error = 1.9081313950375659719604660416977e-20
relative error = 2.4715646241773979559175496505368e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.596
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.402
y[1] (analytic) = 0.077246299207051289379777104258712
y[1] (numeric) = 0.077246299207051289360624701807488
absolute error = 1.9152402451223977642791526584575e-20
relative error = 2.4793941778217492986843255771937e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.595
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.403
y[1] (analytic) = 0.077289255580033062797752026543604
y[1] (numeric) = 0.077289255580033062778528377365209
absolute error = 1.9223649178394334832813268296936e-20
relative error = 2.4872343554257986734988468585250e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.594
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.404
y[1] (analytic) = 0.077332247794793621883665078365407
y[1] (numeric) = 0.077332247794793621864370023837213
absolute error = 1.9295054528193473054588449639745e-20
relative error = 2.4950851783584788985906303339667e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.593
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.405
y[1] (analytic) = 0.077375275891218099624536473737864
y[1] (numeric) = 0.077375275891218099605169854839833
absolute error = 1.9366618898031355122123924942646e-20
relative error = 2.5029466680362968438220765905687e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.592
Order of pole = 1225
memory used=106.8MB, alloc=4.5MB, time=16.12
TOP MAIN SOLVE Loop
x[1] = 2.406
y[1] (analytic) = 0.077418339909247125224784149926499
y[1] (numeric) = 0.077418339909247125205345807240074
absolute error = 1.9438342686424544046398199028952e-20
relative error = 2.5108188459234526182210192755234e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.591
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.407
y[1] (analytic) = 0.077461439888876916793012730245416
y[1] (numeric) = 0.077461439888876916773502503952416
absolute error = 1.9510226292999593477597513980834e-20
relative error = 2.5187017335319590893847326876516e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.59
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.408
y[1] (analytic) = 0.077504575870159374209453326124374
y[1] (numeric) = 0.077504575870159374189871056005878
absolute error = 1.9582270118496449482611750275168e-20
relative error = 2.5265953524217617357721673390234e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.589
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.409
y[1] (analytic) = 0.077547747893202172174456686907404
y[1] (numeric) = 0.077547747893202172154802212342632
absolute error = 1.9654474564771863698856833295584e-20
relative error = 2.5344997242008588329045824411672e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.588
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.41
y[1] (analytic) = 0.077590955998168853438443215058853
y[1] (numeric) = 0.07759095599816885341871637502405
absolute error = 1.9726840034802817905650606749517e-20
relative error = 2.5424148705254219744981558484845e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.587
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.411
y[1] (analytic) = 0.077634200225278922213714376479756
y[1] (numeric) = 0.077634200225278922193915009547066
absolute error = 1.9799366932689960054530075392762e-20
relative error = 2.5503408130999169295555759325821e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.586
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.412
y[1] (analytic) = 0.077677480614807937768531050485391
y[1] (numeric) = 0.07767748061480793774865899482173
absolute error = 1.9872055663661051800059533679785e-20
relative error = 2.5582775736772248364470562135293e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.585
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.413
y[1] (analytic) = 0.077720797207087608203865381672457
y[1] (numeric) = 0.077720797207087608183920475038382
absolute error = 1.9944906634074427572841387521443e-20
relative error = 2.5662251740587637350146623860038e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.584
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.414
y[1] (analytic) = 0.077764150042505884413233716420274
y[1] (numeric) = 0.077764150042505884393215796168851
absolute error = 2.0017920251422465236604446263062e-20
relative error = 2.5741836360946104377373026985743e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.583
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.415
y[1] (analytic) = 0.077807539161507054226019230133304
y[1] (numeric) = 0.077807539161507054205928133208969
absolute error = 2.0091096924335068371408114329193e-20
relative error = 2.5821529816836227409972065218452e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.582
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.416
y[1] (analytic) = 0.07785096460459183673469387755102
y[1] (numeric) = 0.077850964604591836714529440488437
absolute error = 2.0164437062583160225165249765643e-20
relative error = 2.5901332327735619774922024249367e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.581
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.417
y[1] (analytic) = 0.077894426412317476806350327534379
y[1] (numeric) = 0.077894426412317476786112386457297
absolute error = 2.0237941077082189375851483207819e-20
relative error = 2.5981244113612159108416062190734e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.58
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.418
y[1] (analytic) = 0.077937924625297839778955575694715
y[1] (numeric) = 0.07793792462529783975864396631482
absolute error = 2.0311609379895647146934508694766e-20
relative error = 2.6061265394925219734370412713814e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.579
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.419
y[1] (analytic) = 0.077981459284203506342738963069618
y[1] (numeric) = 0.07798145928420350632235352068538
absolute error = 2.0385442384238596818723270322941e-20
relative error = 2.6141396392626908485930379910573e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.578
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.42
y[1] (analytic) = 0.078025030429761867607128366780063
y[1] (numeric) = 0.078025030429761867586668926275582
absolute error = 2.0459440504481214678504079099894e-20
relative error = 2.6221637328163303980557967937588e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.577
Order of pole = 1225
memory used=110.6MB, alloc=4.5MB, time=16.70
TOP MAIN SOLVE Loop
x[1] = 2.421
y[1] (analytic) = 0.078068638102757220353649369232728
y[1] (numeric) = 0.078068638102757220333115765076576
absolute error = 2.0533604156152342952498505637419e-20
relative error = 2.6301988423475699359320491084956e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.576
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.422
y[1] (analytic) = 0.078112282344030862475203255969887
y[1] (numeric) = 0.078112282344030862454595322213944
absolute error = 2.0607933755943054662846409653192e-20
relative error = 2.6382449901001848501035141547857e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.575
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.423
y[1] (analytic) = 0.078155963194481188602140738725475
y[1] (numeric) = 0.078155963194481188581458309003765
absolute error = 2.0682429721710230452986689780998e-20
relative error = 2.6463021983677215721960253369289e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.574
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.424
y[1] (analytic) = 0.078199680695063785915549349628896
y[1] (numeric) = 0.078199680695063785894792257156415
absolute error = 2.0757092472480147424978270089036e-20
relative error = 2.6543704894936228971759892276609e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.573
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.425
y[1] (analytic) = 0.078243434886791530148173504816861
y[1] (numeric) = 0.078243434886791530127341582388409
absolute error = 2.0831922428452080032474486155165e-20
relative error = 2.6624498858713536536504422961686e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.572
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.426
y[1] (analytic) = 0.078287225810734681773387290977021
y[1] (numeric) = 0.07828722581073468175248037096602
absolute error = 2.0906920011001913073235396744167e-20
relative error = 2.6705404099445267259505858266210e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.571
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.427
y[1] (analytic) = 0.078331053508020982382641086564509
y[1] (numeric) = 0.078331053508020982361659000921823
absolute error = 2.0982085642685766825234630287202e-20
relative error = 2.6786420842070294290823079243979e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.167
Order of pole = 1.362e-58
TOP MAIN SOLVE Loop
x[1] = 2.428
y[1] (analytic) = 0.078374918019835751251804190612817
y[1] (numeric) = 0.078374918019835751230746770865573
absolute error = 2.1057419747243634370590181705029e-20
relative error = 2.6867549312031502376308431696790e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.569
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.429
y[1] (analytic) = 0.078418819387421982096826696212787
y[1] (numeric) = 0.078418819387421982075693773463184
absolute error = 2.1132922749603031151722107886930e-20
relative error = 2.6948789735277058697103754038055e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.568
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.43
y[1] (analytic) = 0.078462757652080440019144912867108
y[1] (numeric) = 0.078462757652080439997936317791225
absolute error = 2.1208595075882656804314332594890e-20
relative error = 2.7030142338261687270530573748861e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.567
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.431
y[1] (analytic) = 0.078506732855169758641255712051749
y[1] (numeric) = 0.078506732855169758619971274898353
absolute error = 2.1284437153396069311832766981099e-20
relative error = 2.7111607347947946923356025777393e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.566
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.432
y[1] (analytic) = 0.078550745038106537432886243439442
y[1] (numeric) = 0.078550745038106537411525794028786
absolute error = 2.1360449410655371526527683575641e-20
relative error = 2.7193184991807512848452996519246e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.565
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.433
y[1] (analytic) = 0.078594794242365439228186545372893
y[1] (numeric) = 0.078594794242365439206749913095518
absolute error = 2.1436632277374910102024752825322e-20
relative error = 2.7274875497822461755910082030070e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.564
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.434
y[1] (analytic) = 0.078638880509479287934373652326185
y[1] (numeric) = 0.07863888050947928791286066614171
absolute error = 2.1512986184474986882786365364760e-20
relative error = 2.7356679094486560629684169392436e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.563
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.435
y[1] (analytic) = 0.078683003881039166432256884271071
y[1] (numeric) = 0.078683003881039166410667372706985
absolute error = 2.1589511564085582795902823513781e-20
relative error = 2.7438596010806559100925806217194e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.562
memory used=114.4MB, alloc=4.5MB, time=17.28
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.436
y[1] (analytic) = 0.078727164398694514669075088079952
y[1] (numeric) = 0.078727164398694514647408879230401
absolute error = 2.1666208849550094290851695373329e-20
relative error = 2.7520626476303485449145015639478e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.561
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.437
y[1] (analytic) = 0.078771362104153227944077689358674
y[1] (numeric) = 0.078771362104153227922334610883245
absolute error = 2.1743078475429082373043087704211e-20
relative error = 2.7602770721013946242422843406924e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.56
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.438
y[1] (analytic) = 0.078815597039181755387282504419191
y[1] (numeric) = 0.078815597039181755365462383541686
absolute error = 2.1820120877504034277148812903592e-20
relative error = 2.7685028975491429627911690290597e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.559
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.439
y[1] (analytic) = 0.078859869245605198631844356484146
y[1] (numeric) = 0.078859869245605198609947019991365
absolute error = 2.1897336492781137826394404244124e-20
relative error = 2.7767401470807612283905387618096e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.558
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.44
y[1] (analytic) = 0.078904178765307410680469637672011
y[1] (numeric) = 0.078904178765307410658494911912516
absolute error = 2.1974725759495068524174675527087e-20
relative error = 2.7849888438553670044798016776009e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.557
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.441
y[1] (analytic) = 0.078948525640231094966313058851942
y[1] (numeric) = 0.078948525640231094944260769734829
absolute error = 2.2052289117112789424536029857227e-20
relative error = 2.7932490110841592210288655600200e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.556
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.442
y[1] (analytic) = 0.078992909912377904608793933091741
y[1] (numeric) = 0.078992909912377904586663906085404
absolute error = 2.2130027006337363828252000823059e-20
relative error = 2.8015206720305499550227556214740e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.555
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.443
y[1] (analytic) = 0.079037331623808541864770445159592
y[1] (numeric) = 0.07903733162380854184256250529048
absolute error = 2.2207939869111780851402561428551e-20
relative error = 2.8098038500102966016537720643183e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.554
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.444
y[1] (analytic) = 0.079081790816642857775511469390286
y[1] (numeric) = 0.079081790816642857753225441241663
absolute error = 2.2286028148622793913552565153231e-20
relative error = 2.8180985683916344173684442951147e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.553
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.445
y[1] (analytic) = 0.079126287533059952009906611199139
y[1] (numeric) = 0.079126287533059951987542318909834
absolute error = 2.2364292289304772192810293017494e-20
relative error = 2.8264048505954094359204130341242e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.552
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.446
y[1] (analytic) = 0.079170821815298272904356263631236
y[1] (numeric) = 0.079170821815298272881913530894393
absolute error = 2.2442732736843565095233474014558e-20
relative error = 2.8347227200952117585842601066606e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.551
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.447
y[1] (analytic) = 0.079215393705655717699784589579896
y[1] (numeric) = 0.079215393705655717677263239641716
absolute error = 2.2521349938180379786237327273295e-20
relative error = 2.8430522004175092196892084816857e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.55
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.448
y[1] (analytic) = 0.079260003246489732976219462705949
y[1] (numeric) = 0.079260003246489732953619318364434
absolute error = 2.2600144341515671831847146387183e-20
relative error = 2.8513933151417814286355321921176e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.549
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.449
y[1] (analytic) = 0.079304650480217415285384525648353
y[1] (numeric) = 0.07930465048021741526270540925204
absolute error = 2.2679116396313048997826713050978e-20
relative error = 2.8597460879006541895604471871432e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.279
Order of pole = 1.512e-58
TOP MAIN SOLVE Loop
memory used=118.2MB, alloc=4.5MB, time=17.86
x[1] = 2.45
y[1] (analytic) = 0.079349335449315611981749652846657
y[1] (numeric) = 0.079349335449315611958991386293354
absolute error = 2.2758266553303188254903392072628e-20
relative error = 2.8681105423800342998241999859529e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.547
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.451
y[1] (analytic) = 0.07939405819632102225248723720666
y[1] (numeric) = 0.079394058196321022229649641942172
absolute error = 2.2837595264487766038501126574799e-20
relative error = 2.8764867023192447284910312816135e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.546
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.452
y[1] (analytic) = 0.079438818763830298346782854942175
y[1] (numeric) = 0.079438818763830298323865751959031
absolute error = 2.2917102983143401811583724386861e-20
relative error = 2.8848745915111601759836664403402e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.545
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.453
y[1] (analytic) = 0.079483617194500147004950001228022
y[1] (numeric) = 0.079483617194500146981953211064196
absolute error = 2.2996790163825614979402807890259e-20
relative error = 2.8932742338023430160939742125419e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.544
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.454
y[1] (analytic) = 0.07952845353104743108779973081209
y[1] (numeric) = 0.079528453531047431064723073549718
absolute error = 2.3076657262372795205137593571415e-20
relative error = 2.9016856530931796215364389752782e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.543
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.455
y[1] (analytic) = 0.079573327816249271406717182467609
y[1] (numeric) = 0.079573327816249271383560477731698
absolute error = 2.3156704735910186175607277927547e-20
relative error = 2.9101088733380170742351105189743e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.542
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.456
y[1] (analytic) = 0.079618240092943148754898114130518
y[1] (numeric) = 0.079618240092943148731661181087664
absolute error = 2.3236933042853882866431236850791e-20
relative error = 2.9185439185453002615387288324678e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.541
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.457
y[1] (analytic) = 0.07966319040402700614019972677119
y[1] (numeric) = 0.079663190404027006116882384128275
absolute error = 2.3317342642914842356207499891036e-20
relative error = 2.9269908127777093595627695879969e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.54
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.458
y[1] (analytic) = 0.079708178792459351220061209504658
y[1] (numeric) = 0.079708178792459351196663275507555
absolute error = 2.3397933997102908239476042592077e-20
relative error = 2.9354495801522977048612191401414e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.539
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.459
y[1] (analytic) = 0.079753205301259358938950596159197
y[1] (numeric) = 0.079753205301259358915471888591466
absolute error = 2.3478707567730848688430353151099e-20
relative error = 2.9439202448406300556349658887897e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.538
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.46
y[1] (analytic) = 0.07979826997350697436879568450956
y[1] (numeric) = 0.079798269973506974345236020691141
absolute error = 2.3559663818418408213538477728116e-20
relative error = 2.9524028310689212436877878749765e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.537
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.461
y[1] (analytic) = 0.07984337285234301575285793364872
y[1] (numeric) = 0.079843372852343015729217130434624
absolute error = 2.3640803214096373173433335607908e-20
relative error = 2.9608973631181752183450245392130e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.536
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.462
y[1] (analytic) = 0.07988851398096927775350942253067
y[1] (numeric) = 0.079888513980969277729787296309659
absolute error = 2.3722126221010651084631524888498e-20
relative error = 2.9694038653243244835541437342638e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.535
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.463
y[1] (analytic) = 0.07993369340264863490437412357701
y[1] (numeric) = 0.079933693402648634880570490270284
absolute error = 2.3803633306726363781840115251718e-20
relative error = 2.9779223620783699293905534080152e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.912
Order of pole = 2.495e-58
TOP MAIN SOLVE Loop
x[1] = 2.464
y[1] (analytic) = 0.079978911160705145267295919411969
y[1] (numeric) = 0.079978911160705145243410594471837
absolute error = 2.3885324940131954479812050495961e-20
relative error = 2.9864528778265210591961609171794e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.533
Order of pole = 1225
TOP MAIN SOLVE Loop
memory used=122.0MB, alloc=4.5MB, time=18.44
x[1] = 2.465
y[1] (analytic) = 0.080024167298524154294596968284422
y[1] (numeric) = 0.080024167298524154270629766692979
absolute error = 2.3967201591443308787912763729912e-20
relative error = 2.9949954370703366135823517594081e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.147
Order of pole = 1.438e-58
TOP MAIN SOLVE Loop
x[1] = 2.466
y[1] (analytic) = 0.080069461859552398897091204561781
y[1] (numeric) = 0.080069461859552398873041940829574
absolute error = 2.4049263732207889728763446308951e-20
relative error = 3.0035500643668655925332436805011e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.531
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.467
y[1] (analytic) = 0.080114794887298111718318944849696
y[1] (numeric) = 0.080114794887298111694187433014387
absolute error = 2.4131511835308886812530111631358e-20
relative error = 3.0121167843287886768492716856255e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.53
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.468
y[1] (analytic) = 0.080160166425331125615469757813692
y[1] (numeric) = 0.080160166425331125591255811438723
absolute error = 2.4213946374969379218632160706760e-20
relative error = 3.0206956216245600501753745198868e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.529
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.469
y[1] (analytic) = 0.080205576517282978347461946664735
y[1] (numeric) = 0.080205576517282978323165378837979
absolute error = 2.4296567826756513136849591890392e-20
relative error = 3.0292866009785496228622837455532e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.528
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.47
y[1] (analytic) = 0.080251025206847017470648187530596
y[1] (numeric) = 0.08025102520684701744626881086301
absolute error = 2.4379376667585693320014306288797e-20
relative error = 3.0378897471711856589136626923407e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.527
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.471
y[1] (analytic) = 0.080296512537778505442618064579434
y[1] (numeric) = 0.080296512537778505418155691203709
absolute error = 2.4462373375724788900678147049356e-20
relative error = 3.0465050850390978072761043552730e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.526
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.472
y[1] (analytic) = 0.080342038553894724934569443801708
y[1] (numeric) = 0.08034203855389472491002388537091
absolute error = 2.4545558430798353524358379030859e-20
relative error = 3.0551326394752605387332748238723e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.525
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.473
y[1] (analytic) = 0.080387603299075084352721831801963
y[1] (numeric) = 0.080387603299075084328092899488171
absolute error = 2.4628932313791859852170269217310e-20
relative error = 3.0637724354291369896697821092037e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.524
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.474
y[1] (analytic) = 0.080433206817261223569246073813876
y[1] (numeric) = 0.08043320681726122354453357830682
absolute error = 2.4712495507055948485866271704066e-20
relative error = 3.0724244979068232139746593542462e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.523
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.475
y[1] (analytic) = 0.080478849152457119863185956440823
y[1] (numeric) = 0.080478849152457119838389707946512
absolute error = 2.4796248494310691368512058195201e-20
relative error = 3.0810888519711928443586764311175e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.522
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.476
y[1] (analytic) = 0.080524530348729194071848495350836
y[1] (numeric) = 0.080524530348729194046968303590186
absolute error = 2.4880191760649869714241269764276e-20
relative error = 3.0897655227420421643640349090417e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.521
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.477
y[1] (analytic) = 0.080570250450206416953140906329913
y[1] (numeric) = 0.080570250450206416928176580537368
absolute error = 2.4964325792545266520743402227563e-20
relative error = 3.0984545353962355923493583830606e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.52
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.478
y[1] (analytic) = 0.080616009501080415759333479732007
y[1] (numeric) = 0.080616009501080415734284828654156
absolute error = 2.5048651077850973718352679959165e-20
relative error = 3.1071559151678515787372632491059e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.519
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.479
y[1] (analytic) = 0.080661807545605581022728803468393
y[1] (numeric) = 0.080661807545605580997595635362585
absolute error = 2.5133168105807714009820125461008e-20
relative error = 3.1158696873483289178161842601544e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.518
Order of pole = 1225
TOP MAIN SOLVE Loop
memory used=125.8MB, alloc=4.5MB, time=19.02
x[1] = 2.48
y[1] (analytic) = 0.080707644628099173553719008264463
y[1] (numeric) = 0.080707644628099173528501130897416
absolute error = 2.5217877367047177455066298626949e-20
relative error = 3.1245958772866134753925346650735e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.72
Order of pole = 1.729e-58
TOP MAIN SOLVE Loop
x[1] = 2.481
y[1] (analytic) = 0.080753520792941431651713940989042
y[1] (numeric) = 0.080753520792941431626411161635445
absolute error = 2.5302779353596372855428364568924e-20
relative error = 3.1333345103893053335937024809660e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.516
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.482
y[1] (analytic) = 0.080799436084575678529424407441176
y[1] (numeric) = 0.080799436084575678504036532882294
absolute error = 2.5387874558881993992132256283717e-20
relative error = 3.1420856121208063541268225461832e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.515
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.483
y[1] (analytic) = 0.080845390547508429950985865072762
y[1] (numeric) = 0.080845390547508429925512701595027
absolute error = 2.5473163477734800773938732531691e-20
relative error = 3.1508492080034681613027185097819e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.514
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.484
y[1] (analytic) = 0.080891384226309502084409188743543
y[1] (numeric) = 0.080891384226309502058850542137149
absolute error = 2.5558646606394015349131096293765e-20
relative error = 3.1596253236177405461388798994418e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.513
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.485
y[1] (analytic) = 0.080937417165612119568846378758784
y[1] (numeric) = 0.080937417165612119543202054316273
absolute error = 2.5644324442511733237232239310869e-20
relative error = 3.1684139846023202928598269393963e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.512
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.486
y[1] (analytic) = 0.080983489410113023797160330140532
y[1] (numeric) = 0.080983489410113023771430132655375
absolute error = 2.5730197485157349536059517752199e-20
relative error = 3.1772152166543004291177199286963e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.511
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.487
y[1] (analytic) = 0.08102960100457258141428903534179
y[1] (numeric) = 0.081029601004572581388472769106968
absolute error = 2.5816266234822000259947747286700e-20
relative error = 3.1860290455293199012605908043445e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.51
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.488
y[1] (analytic) = 0.081075751993814893031895849440383
y[1] (numeric) = 0.08107575199381489300599331824696
absolute error = 2.5902531193423018865193337048963e-20
relative error = 3.1948554970417136759801120700244e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.509
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.489
y[1] (analytic) = 0.08112194242272790215979870725695
y[1] (numeric) = 0.081121942422727902133809714392642
absolute error = 2.5988992864308408018996265519499e-20
relative error = 3.2036945970646632696753726360699e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.508
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.49
y[1] (analytic) = 0.081168172336263504354672445840537
y[1] (numeric) = 0.081168172336263504328596794088276
absolute error = 2.6075651752261326668401241524631e-20
relative error = 3.2125463715303477068737013570760e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.507
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.491
y[1] (analytic) = 0.081214441779437656586519653367017
y[1] (numeric) = 0.081214441779437656560357145003512
absolute error = 2.6162508363504592465964994768446e-20
relative error = 3.2214108464300949090541672374845e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.506
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.492
y[1] (analytic) = 0.081260750797330486823406736711267
y[1] (numeric) = 0.081260750797330486797157173505562
absolute error = 2.6249563205705199609103206925004e-20
relative error = 3.2302880478145335152239904702435e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.505
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.493
y[1] (analytic) = 0.081307099435086403834963174795059
y[1] (numeric) = 0.081307099435086403808626358007081
absolute error = 2.6336816787978852150298130751270e-20
relative error = 3.2391780017937451356027207471828e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.504
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.494
y[1] (analytic) = 0.081353487737914207215143203290326
y[1] (numeric) = 0.081353487737914207188718933669431
absolute error = 2.6424269620894512835576455359265e-20
relative error = 3.2480807345374170397736787002848e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.503
Order of pole = 1225
memory used=129.7MB, alloc=4.5MB, time=19.60
TOP MAIN SOLVE Loop
x[1] = 2.495
y[1] (analytic) = 0.081399915751087197624750458383276
y[1] (numeric) = 0.081399915751087197598238536166797
absolute error = 2.6511922216478967528896465160612e-20
relative error = 3.2569962722749952806668129690974e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.502
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.496
y[1] (analytic) = 0.081446383519943287254227393090219
y[1] (numeric) = 0.081446383519943287227627618001998
absolute error = 2.6599775088221405280314012540292e-20
relative error = 3.2659246412958382557417993099391e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.501
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.497
y[1] (analytic) = 0.081492891089885110507212569072356
y[1] (numeric) = 0.081492891089885110480524740321278
absolute error = 2.6687828751078014096028284523289e-20
relative error = 3.2748658679493707067448994363984e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.5
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.498
y[1] (analytic) = 0.081539438506380134905370220035806
y[1] (numeric) = 0.081539438506380134878594136314329
absolute error = 2.6776083721476592468640796083735e-20
relative error = 3.2838199786452381594178059773411e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.499
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.499
y[1] (analytic) = 0.081586025814960772214997779636307
y[1] (numeric) = 0.081586025814960772188133239118986
absolute error = 2.6864540517321176726194491849222e-20
relative error = 3.2927869998534618045414261279040e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.498
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.5
y[1] (analytic) = 0.081632653061224489795918367346939
y[1] (numeric) = 0.081632653061224489768965167688942
absolute error = 2.6953199657996684258794288332955e-20
relative error = 3.3017669581045938217023003207870e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.497
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.501
y[1] (analytic) = 0.081679320290833922173166530003551
y[1] (numeric) = 0.081679320290833922146124468339177
absolute error = 2.7042061664373572681845845065665e-20
relative error = 3.3107598799898731471741136298478e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.496
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.502
y[1] (analytic) = 0.081726027549516982831976844728066
y[1] (numeric) = 0.081726027549516982804845717669254
absolute error = 2.7131127058812514995185819702013e-20
relative error = 3.3197657921613816873115367061712e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.495
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.503
y[1] (analytic) = 0.081772774883066976236586300656088
y[1] (numeric) = 0.081772774883066976209365904290918
absolute error = 2.7220396365169090797614343969537e-20
relative error = 3.3287847213322009788584299093256e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.494
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.504
y[1] (analytic) = 0.081819562337342710073362692374155
y[1] (numeric) = 0.081819562337342710046052822265356
absolute error = 2.7309870108798493616578958861211e-20
relative error = 3.3378166942765692975772590046507e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.493
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.505
y[1] (analytic) = 0.081866389958268607718772577215356
y[1] (numeric) = 0.081866389958268607691373028398795
absolute error = 2.7399548816560254412998773417630e-20
relative error = 3.3468617378300392166114034226568e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.492
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.506
y[1] (analytic) = 0.081913257791834820932703671581571
y[1] (numeric) = 0.081913257791834820905214238564748
absolute error = 2.7489433016822981321458166496150e-20
relative error = 3.3559198788896356159968886907900e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.491
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.507
y[1] (analytic) = 0.08196016588409734277765788826846
y[1] (numeric) = 0.08196016588409734275007836502899
absolute error = 2.7579523239469115686240939799892e-20
relative error = 3.3649911444140141447449433230454e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 3.169
Order of pole = 1.750e-58
TOP MAIN SOLVE Loop
x[1] = 2.508
y[1] (analytic) = 0.08200711428117812076433254737715
y[1] (numeric) = 0.08200711428117812073666272736125
absolute error = 2.7669820015899704453918457879670e-20
relative error = 3.3740755614236201369216672616600e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.489
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.509
y[1] (analytic) = 0.08205410302926517022410862781662
y[1] (numeric) = 0.082054103029265170196348303937581
absolute error = 2.7760323879039188983448981590576e-20
relative error = 3.3831731570008479831560039801186e-17 %
Correct digits = 18
h = 0.001
memory used=133.5MB, alloc=4.5MB, time=20.19
Real estimate of pole used for equation 1
Radius of convergence = 3.488
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.51
y[1] (analytic) = 0.082101132174612687908966264644789
y[1] (numeric) = 0.082101132174612687881115229281449
absolute error = 2.7851035363340210334990120368839e-20
relative error = 3.3922839582902009590121316510449e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.487
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.511
y[1] (analytic) = 0.082148201763541165819349039576621
y[1] (numeric) = 0.082148201763541165791407084571833
absolute error = 2.7941955004788431098872100504067e-20
relative error = 3.4014079924984515116673304296017e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.486
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.512
y[1] (analytic) = 0.082195311842437505260499957916
y[1] (numeric) = 0.082195311842437505232466874575093
absolute error = 2.8033083340907373826426376150755e-20
relative error = 3.4105452868948020063413429764825e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.485
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.513
y[1] (analytic) = 0.08224246245775513112779335495707
y[1] (numeric) = 0.082242462457755131099668934046307
absolute error = 2.8124420910763276124612002008242e-20
relative error = 3.4196958688110459339282239184656e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.484
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.514
y[1] (analytic) = 0.082289653656014106421588328562179
y[1] (numeric) = 0.082289653656014106393372360307209
absolute error = 2.8215968254969962476631146281268e-20
relative error = 3.4288597656417295812866710931463e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.483
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.515
y[1] (analytic) = 0.082336885483801246992130652169886
y[1] (numeric) = 0.082336885483801246963822926254192
absolute error = 2.8307725915693732850975154618566e-20
relative error = 3.4380370048443141656498472225227e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.482
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.516
y[1] (analytic) = 0.082384157987770236515031483929817
y[1] (numeric) = 0.082384157987770236486631789493158
absolute error = 2.8399694436658268161593685143517e-20
relative error = 3.4472276139393384346207351825540e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.643
Order of pole = 3.362e-59
TOP MAIN SOLVE Loop
x[1] = 2.517
y[1] (analytic) = 0.082431471214641741697852553013946
y[1] (numeric) = 0.082431471214641741669360678650796
absolute error = 2.8491874363149552642131626391450e-20
relative error = 3.4564316205105817332241233579471e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.48
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.518
y[1] (analytic) = 0.082478825211203527718328873428325
y[1] (numeric) = 0.082478825211203527689744607186304
absolute error = 2.8584266242020813197431788929950e-20
relative error = 3.4656490522052275394913897688633e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.277
Order of pole = 1.266e-58
TOP MAIN SOLVE Loop
x[1] = 2.519
y[1] (analytic) = 0.082526220024310573894761408857919
y[1] (numeric) = 0.082526220024310573866084538236221
absolute error = 2.8676870621697475795755732662755e-20
relative error = 3.4748799367340274700593448049409e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.478
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.52
y[1] (analytic) = 0.082573655700885189589113489232395
y[1] (numeric) = 0.082573655700885189560343801180213
absolute error = 2.8769688052182138965430560330436e-20
relative error = 3.4841243018714657572695025782571e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 3.251
Order of pole = 2.756e-58
TOP MAIN SOLVE Loop
x[1] = 2.521
y[1] (analytic) = 0.082621132287917130343346160814929
y[1] (numeric) = 0.082621132287917130314483441729869
absolute error = 2.8862719085059564459886078572431e-20
relative error = 3.4933821754559241992592801872278e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.476
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.522
y[1] (analytic) = 0.082668649832463714249529036701904
y[1] (numeric) = 0.082668649832463714220573072428403
absolute error = 2.8955964273501685155304406180249e-20
relative error = 3.5026535853898475845417726448889e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.475
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.523
y[1] (analytic) = 0.082716208381649938554264603691343
y[1] (numeric) = 0.082716208381649938525215179519071
absolute error = 2.9049424172272630245362899950797e-20
relative error = 3.5119385596399095925759189447926e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.474
Order of pole = 1225
TOP MAIN SOLVE Loop
memory used=137.3MB, alloc=4.5MB, time=20.77
x[1] = 2.524
y[1] (analytic) = 0.082763807982668596497965334544554
y[1] (numeric) = 0.08276380798266859646882223520682
absolute error = 2.9143099337733767797811176966614e-20
relative error = 3.5212371262371791718340617934857e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.473
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.525
y[1] (analytic) = 0.082811448682780394389524351741628
y[1] (numeric) = 0.08281144868278039436028736141378
absolute error = 2.9236990327848764737884043336476e-20
relative error = 3.5305493132772873968791100081504e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.472
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.526
y[1] (analytic) = 0.082859130529314068916921789929566
y[1] (numeric) = 0.082859130529314068887590692227378
absolute error = 2.9331097702188664323814298600443e-20
relative error = 3.5398751489205948059687385397601e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.806
Order of pole = 8.773e-59
TOP MAIN SOLVE Loop
x[1] = 2.527
y[1] (analytic) = 0.082906853569666504694310409394872
y[1] (numeric) = 0.082906853569666504664884987372935
absolute error = 2.9425422021936981179972677338657e-20
relative error = 3.5492146613923592207093066146332e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.47
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.528
y[1] (analytic) = 0.082954617851302852046125422073096
y[1] (numeric) = 0.082954617851302852016605458223201
absolute error = 2.9519963849894813953426620249042e-20
relative error = 3.5585678789829040492874396695223e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.469
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.529
y[1] (analytic) = 0.083002423421756645028764904848927
y[1] (numeric) = 0.083002423421756644999150181098441
absolute error = 2.9614723750485975659975141327272e-20
relative error = 3.5679348300477870748125056666351e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.468
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.53
y[1] (analytic) = 0.083050270328629919690388592214868
y[1] (numeric) = 0.083050270328629919660678889925106
absolute error = 2.9709702289762141785983781070288e-20
relative error = 3.5773155430079697303085210948923e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.467
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.531
y[1] (analytic) = 0.083098158619593332569384261757205
y[1] (numeric) = 0.083098158619593332539579361721797
absolute error = 2.9804900035408016212611513135666e-20
relative error = 3.5867100463499868618993465722560e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.466
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.532
y[1] (analytic) = 0.083146088342386279432052351437895
y[1] (numeric) = 0.083146088342386279402152033881149
absolute error = 2.9900317556746515029290508952562e-20
relative error = 3.5961183686261169817363765414468e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.465
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.533
y[1] (analytic) = 0.083194059544817014250060877253072
y[1] (numeric) = 0.083194059544817014220064921828328
absolute error = 2.9995955424743968303589866751211e-20
relative error = 3.6055405384545530122232921784770e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 0.3855
Order of pole = 5.916e-59
TOP MAIN SOLVE Loop
x[1] = 2.534
y[1] (analytic) = 0.083242072274762768418224153586285
y[1] (numeric) = 0.08324207227476276838813233937427
absolute error = 3.0091814212015339874865783738926e-20
relative error = 3.6149765845195735230978313911798e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.463
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.535
y[1] (analytic) = 0.0832901265801698702131602564503
y[1] (numeric) = 0.08329012658016987018297236195747
absolute error = 3.0187894492829465239373198109305e-20
relative error = 3.6244265355717144629359347546989e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.462
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.536
y[1] (analytic) = 0.083338222509053864493383611838561
y[1] (numeric) = 0.083338222509053864463099414995447
absolute error = 3.0284196843114307594787656662740e-20
relative error = 3.6338904204279413866490514944259e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.461
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.537
y[1] (analytic) = 0.083386360109499632641390537599368
y[1] (numeric) = 0.083386360109499632611009815758906
absolute error = 3.0380721840462232112361079501748e-20
relative error = 3.6433682679718221805508352662330e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.46
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.538
y[1] (analytic) = 0.083434539429661512748297017615701
y[1] (numeric) = 0.083434539429661512717819547551566
absolute error = 3.0477470064135298505211201032469e-20
relative error = 3.6528601071537002865749255814740e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.459
Order of pole = 1225
TOP MAIN SOLVE Loop
memory used=141.1MB, alloc=4.5MB, time=21.35
x[1] = 2.539
y[1] (analytic) = 0.083482760517763420041589441634739
y[1] (numeric) = 0.083482760517763420011014999539669
absolute error = 3.0574442095070571961521771869073e-20
relative error = 3.6623659669908684272309973629090e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.458
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.54
y[1] (analytic) = 0.083531023422098967556550502856761
y[1] (numeric) = 0.083531023422098967525878864340876
absolute error = 3.0671638515885452511709114743283e-20
relative error = 3.6718858765677428328917683806069e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.457
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.541
y[1] (analytic) = 0.083579328191031587051923908376663
y[1] (numeric) = 0.08357932819103158702115484846578
absolute error = 3.0769059910883022898890344736371e-20
relative error = 3.6814198650360379730091822875071e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.456
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.542
y[1] (analytic) = 0.083627674872994650170383024786239
y[1] (numeric) = 0.083627674872994650139516317920182
absolute error = 3.0866706866057415022269495672853e-20
relative error = 3.6909679616149417928635337365500e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.455
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.543
y[1] (analytic) = 0.083676063516491589844370052705042
y[1] (numeric) = 0.083676063516491589813405472735943
absolute error = 3.0964579969099195023339945968354e-20
relative error = 3.7005301955912914574548716993595e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.454
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.544
y[1] (analytic) = 0.083724494170096021947873799725652
y[1] (numeric) = 0.083724494170096021916811119916251
absolute error = 3.1062679809400767085084914260970e-20
relative error = 3.7101065963197496041516077049852e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.453
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.545
y[1] (analytic) = 0.083772966882451867194715601249055
y[1] (numeric) = 0.083772966882451867163554594270993
absolute error = 3.1161006978061796014642403456139e-20
relative error = 3.7196971932229811057168673611601e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.452
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.546
y[1] (analytic) = 0.083821481702273473283914422961185
y[1] (numeric) = 0.08382148170227347325265486089329
absolute error = 3.1259562067894648680186817087496e-20
relative error = 3.7293020157918303453387562952461e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.451
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.547
y[1] (analytic) = 0.08387003867834573729270366727615
y[1] (numeric) = 0.08387003867834573726134532160272
absolute error = 3.1358345673429854373066559876898e-20
relative error = 3.7389210935854990052963656432327e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.45
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.548
y[1] (analytic) = 0.083918637859524228317773698959006
y[1] (numeric) = 0.083918637859524228286316340568084
absolute error = 3.1457358390921584166525270829966e-20
relative error = 3.7485544562317243708990175089220e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.449
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.549
y[1] (analytic) = 0.083967279294735310365315602354812
y[1] (numeric) = 0.083967279294735310333759001536459
absolute error = 3.1556600818353149342623927922335e-20
relative error = 3.7582021334269581513419474982219e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.448
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.55
y[1] (analytic) = 0.084015963032976265490443184204999
y[1] (numeric) = 0.084015963032976265458787110649556
absolute error = 3.1656073555442518959271914237570e-20
relative error = 3.7678641549365458191273395921268e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.447
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.551
y[1] (analytic) = 0.084064689123315417186571741940571
y[1] (numeric) = 0.084064689123315417154815964736923
absolute error = 3.1755777203647856629567252160724e-20
relative error = 3.7775405505949064697053683437037e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.446
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.552
y[1] (analytic) = 0.084113457614892254025333627618284
y[1] (numeric) = 0.084113457614892253993477915252111
absolute error = 3.1855712366173076585939600790876e-20
relative error = 3.7872313503057132029956647568089e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.445
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.553
y[1] (analytic) = 0.084162268556917553547612152324617
y[1] (numeric) = 0.084162268556917553515656272676643
absolute error = 3.1955879647973419101884278019664e-20
relative error = 3.7969365840420740284554053153254e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.444
Order of pole = 1225
TOP MAIN SOLVE Loop
memory used=144.9MB, alloc=4.5MB, time=21.92
x[1] = 2.554
y[1] (analytic) = 0.084211121998673506406276894927088
y[1] (numeric) = 0.084211121998673506374220615271327
absolute error = 3.2056279655761045344371518668227e-20
relative error = 3.8066562818467132953660285697763e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.443
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.555
y[1] (analytic) = 0.084260017989513840761205002517268
y[1] (numeric) = 0.084260017989513840729048089519257
absolute error = 3.2156912998010651730312419648554e-20
relative error = 3.8163904738321536500164105419953e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.442
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.556
y[1] (analytic) = 0.08430895657886394692717459777883
y[1] (numeric) = 0.084308956578863946894916817493865
absolute error = 3.2257780284965103860761558313106e-20
relative error = 3.8261391901808985214661790672368e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.441
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.557
y[1] (analytic) = 0.084357937816221002275217940841297
y[1] (numeric) = 0.084357937816221002242859058712656
absolute error = 3.2358882128641090106836107004474e-20
relative error = 3.8359024611456151375787181462168e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.44
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.558
y[1] (analytic) = 0.084406961751154096388023529959913
y[1] (numeric) = 0.084406961751154096355563310817079
absolute error = 3.2460219142834794921632411370091e-20
relative error = 3.8456803170493180730193065169921e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.439
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.559
y[1] (analytic) = 0.084456028433304356469977866608628
y[1] (numeric) = 0.084456028433304356437416074665501
absolute error = 3.2561791943127591952723458351179e-20
relative error = 3.8554727882855533309197500686142e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.438
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.56
y[1] (analytic) = 0.084505137912385073012439156300703
y[1] (numeric) = 0.084505137912385072979775555153811
absolute error = 3.2663601146891757030124438005643e-20
relative error = 3.8652799053185829599168054958358e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.437
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.561
y[1] (analytic) = 0.084554290238181825714836766674381
y[1] (numeric) = 0.084554290238181825682071119301085
absolute error = 3.2765647373296201104918707627217e-20
relative error = 3.8751016986835702082776528278767e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.436
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.562
y[1] (analytic) = 0.084603485460552609662191819113687
y[1] (numeric) = 0.084603485460552609629323887870375
absolute error = 3.2867931243312223214042903154114e-20
relative error = 3.8849381989867652168316572458874e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.435
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.563
y[1] (analytic) = 0.084652723629427961759655849431248
y[1] (numeric) = 0.084652723629427961726685396051529
absolute error = 3.2970453379719283547037717826405e-20
relative error = 3.8947894369056912524336660251406e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.434
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.564
y[1] (analytic) = 0.084702004794811087424666036935495
y[1] (numeric) = 0.084702004794811087391592822528384
absolute error = 3.3073214407110796690879987689836e-20
relative error = 3.9046554431893314836901145914502e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.433
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.565
y[1] (analytic) = 0.084751329006777987537317069553297
y[1] (numeric) = 0.084751329006777987504140854601397
absolute error = 3.3176214951899945129322194123207e-20
relative error = 3.9145362486583163006852666595340e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.432
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.566
y[1] (analytic) = 0.084800696315477585649551285595516
y[1] (numeric) = 0.084800696315477585616271829953191
absolute error = 3.3279455642325513073477321386139e-20
relative error = 3.9244318842051111804509873171176e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.431
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.567
y[1] (analytic) = 0.08485010677113185545377031025187
y[1] (numeric) = 0.084850106771131855420387373143412
absolute error = 3.3382937108457740700700198574802e-20
relative error = 3.9343423807942050999295448260115e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.43
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.568
y[1] (analytic) = 0.084899560424035948511472986997463
y[1] (numeric) = 0.084899560424035948477986327015258
absolute error = 3.3486659982204198879131016696888e-20
relative error = 3.9442677694622994981850569241036e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.429
Order of pole = 1225
memory used=148.7MB, alloc=4.5MB, time=22.50
TOP MAIN SOLVE Loop
x[1] = 2.569
y[1] (analytic) = 0.084949057324558322242525990801206
y[1] (numeric) = 0.084949057324558322208935365903891
absolute error = 3.3590624897315684455582649227432e-20
relative error = 3.9542080813184977896253406245217e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.428
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.57
y[1] (analytic) = 0.084998597523140868175675101360828
y[1] (numeric) = 0.084998597523140868141980268871435
absolute error = 3.3694832489392136184770724909348e-20
relative error = 3.9641633475444954300020910148599e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.427
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.571
y[1] (analytic) = 0.085048181070299040460906710565136
y[1] (numeric) = 0.085048181070299040427107427169247
absolute error = 3.3799283395888571378204111173774e-20
relative error = 3.9741335993947705369635044554980e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.426
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.572
y[1] (analytic) = 0.085097808016621984644270739016596
y[1] (numeric) = 0.085097808016621984610366760760475
absolute error = 3.3903978256121043351373571864977e-20
relative error = 3.9841188681967750669396749572256e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.425
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.573
y[1] (analytic) = 0.085147478412772666705777741750934
y[1] (numeric) = 0.085147478412772666671768824039661
absolute error = 3.4008917711272619748197870483821e-20
relative error = 3.9941191853511265501473294806138e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.424
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.574
y[1] (analytic) = 0.085197192309488002360984593280532
y[1] (numeric) = 0.085197192309488002326870490876132
absolute error = 3.4114102404399381822009506466725e-20
relative error = 4.0041345823318003855067285392503e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.423
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.575
y[1] (analytic) = 0.085246949757578986626884756779796
y[1] (numeric) = 0.08524694975757898659266522379936
absolute error = 3.4219532980436444752686603679794e-20
relative error = 4.0141650906863226972698429029128e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.422
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.576
y[1] (analytic) = 0.085296750807930823652720761638571
y[1] (numeric) = 0.085296750807930823618395551552367
absolute error = 3.4325210086203999079863223949710e-20
relative error = 4.0242107420359637551652254822424e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.058
Order of pole = 1.124e-58
TOP MAIN SOLVE Loop
x[1] = 2.577
y[1] (analytic) = 0.085346595511503056816338137749234
y[1] (numeric) = 0.085346595511503056781907003378821
absolute error = 3.4431134370413373332477560725837e-20
relative error = 4.0342715680759319598713297311782e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.42
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.578
y[1] (analytic) = 0.085396483919329699086701683779553
y[1] (numeric) = 0.08539648391932969905216437729588
absolute error = 3.4537306483673117935246085557037e-20
relative error = 4.0443476005755683956363822254409e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.419
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.579
y[1] (analytic) = 0.085446416082519363653196580331893
y[1] (numeric) = 0.085446416082519363618552853253398
absolute error = 3.4643727078495110472981779690209e-20
relative error = 4.0544388713785419518692975632342e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.418
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.58
y[1] (analytic) = 0.085496392052255394822338497315413
y[1] (numeric) = 0.085496392052255394787588100506113
absolute error = 3.4750396809300682394006091507214e-20
relative error = 4.0645454124030450155325284870498e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.417
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.581
y[1] (analytic) = 0.085546411879795999182518488076669
y[1] (numeric) = 0.085546411879795999147661171744243
absolute error = 3.4857316332426767234237224498158e-20
relative error = 4.0746672556419897361741732424191e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.416
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.582
y[1] (analytic) = 0.085596475616474377037410110861131
y[1] (numeric) = 0.085596475616474377002445624554999
absolute error = 3.4964486306132070443871786840870e-20
relative error = 4.0848044331632048654431157704871e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.415
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.583
y[1] (analytic) = 0.085646583313698854108667871028921
y[1] (numeric) = 0.085646583313698854073595963638318
absolute error = 3.5071907390603260898912729272130e-20
relative error = 4.0949569771096331729374524766845e-17 %
Correct digits = 18
h = 0.001
memory used=152.5MB, alloc=4.5MB, time=23.08
Real estimate of pole used for equation 1
Radius of convergence = 3.414
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.584
y[1] (analytic) = 0.085696735022953013508547735138129
y[1] (numeric) = 0.085696735022953013473368154890168
absolute error = 3.5179580247961184180133869682803e-20
relative error = 4.1051249196995294402429621282533e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.413
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.585
y[1] (analytic) = 0.085746930795795827983082130553989
y[1] (numeric) = 0.085746930795795827947794625011722
absolute error = 3.5287505542267097702410157668126e-20
relative error = 4.1153082932266590350249030101116e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.412
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.586
y[1] (analytic) = 0.085797170683861792426443511657605
y[1] (numeric) = 0.085797170683861792391047827718076
absolute error = 3.5395683939528927777683177072014e-20
relative error = 4.1255071300604970670429739131244e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.411
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.587
y[1] (analytic) = 0.085847454738861056667132246029534
y[1] (numeric) = 0.085847454738861056631628129921826
absolute error = 3.5504116107707548695173226370958e-20
relative error = 4.1357214626464281279658529433472e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.41
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.588
y[1] (analytic) = 0.085897783012579558526626251187107
y[1] (numeric) = 0.085897783012579558491013448470384
absolute error = 3.5612802716723083902792662574603e-20
relative error = 4.1459513235059466168683306277191e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.409
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.589
y[1] (analytic) = 0.085948155556879157151131494575683
y[1] (numeric) = 0.085948155556879157115409750137222
absolute error = 3.5721744438461229374060051236848e-20
relative error = 4.1561967452368576533006814539667e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.408
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.59
y[1] (analytic) = 0.085998572423697766617074156569001
y[1] (numeric) = 0.085998572423697766581243214622221
absolute error = 3.5830941946779599245161040269213e-20
relative error = 4.1664577605134785798265709235444e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.407
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.591
y[1] (analytic) = 0.086049033665049489810976948238322
y[1] (numeric) = 0.086049033665049489775036552320808
absolute error = 3.5940395917514093807149775658499e-20
relative error = 4.1767344020868410559324735201438e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.406
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.592
y[1] (analytic) = 0.086099539333024752584363772620071
y[1] (numeric) = 0.086099539333024752548313665591586
absolute error = 3.6050107028485289938634110080143e-20
relative error = 4.1870267027848937452182808069785e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.405
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.593
y[1] (analytic) = 0.086150089479790438184338620163308
y[1] (numeric) = 0.086150089479790438148178544203803
absolute error = 3.6160075959504854064638827969971e-20
relative error = 4.1973346955127055977855082684681e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.404
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.594
y[1] (analytic) = 0.086200684157590021960486295987634
y[1] (numeric) = 0.086200684157590021924215992595252
absolute error = 3.6270303392381977727693630108643e-20
relative error = 4.2076584132526697297462646113503e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.403
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.595
y[1] (analytic) = 0.086251323418743706348744288545177
y[1] (numeric) = 0.086251323418743706312363498534248
absolute error = 3.6380790010929835857546694459896e-20
relative error = 4.2179978890647079017829281423539e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.402
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.596
y[1] (analytic) = 0.086302007315648556132896806273396
y[1] (numeric) = 0.086302007315648556096405269772424
absolute error = 3.6491536500972067826260265196796e-20
relative error = 4.2283531560864755986952816505255e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.401
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.597
y[1] (analytic) = 0.086352735900778633984343730864773
y[1] (numeric) = 0.086352735900778633947741187314424
absolute error = 3.6602543550349281375801925897274e-20
relative error = 4.2387242475335677118786900487812e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.4
Order of pole = 1225
TOP MAIN SOLVE Loop
memory used=156.4MB, alloc=4.5MB, time=23.67
x[1] = 2.598
y[1] (analytic) = 0.086403509226685136280798962881398
y[1] (numeric) = 0.086403509226685136244085151032472
absolute error = 3.6713811848925579505603993175682e-20
relative error = 4.2491111966997248266837639783404e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.399
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.599
y[1] (analytic) = 0.086454327345996529204574367623339
y[1] (numeric) = 0.086454327345996529167749025534743
absolute error = 3.6825342088595110407923830962356e-20
relative error = 4.2595140369570401166148377589921e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.795
Order of pole = 1.688e-58
TOP MAIN SOLVE Loop
x[1] = 2.6
y[1] (analytic) = 0.086505190311418685121107266435986
y[1] (numeric) = 0.086505190311418685084170131472698
absolute error = 3.6937134963288640539199840706671e-20
relative error = 4.2699328017561668463315015856912e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.397
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.601
y[1] (analytic) = 0.086556098175735019238391161029744
y[1] (numeric) = 0.086556098175735019201341969860764
absolute error = 3.7049191168980150915961436456692e-20
relative error = 4.2803675246265264854243658363289e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.396
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.602
y[1] (analytic) = 0.086607050991806626547971125902056
y[1] (numeric) = 0.086607050991806626510809614498362
absolute error = 3.7161511403693456724216473593619e-20
relative error = 4.2908182391765174349431998756725e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.395
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.603
y[1] (analytic) = 0.086658048812572419048167056613443
y[1] (numeric) = 0.086658048812572419010892960245934
absolute error = 3.7274096367508850331606373542890e-20
relative error = 4.3012849790937243686625789259290e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.394
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.604
y[1] (analytic) = 0.08670909169104926325018971949262
y[1] (numeric) = 0.08670909169104926321280277273005
absolute error = 3.7386946762569767791987581655092e-20
relative error = 4.3117677781451281910771905351316e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.393
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.605
y[1] (analytic) = 0.086760179680332117967816311347581
y[1] (numeric) = 0.086760179680332117930316248054491
absolute error = 3.7500063293089478932468019295847e-20
relative error = 4.3222666701773166141259970210442e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.392
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.606
y[1] (analytic) = 0.086811312833594172391294005956645
y[1] (numeric) = 0.086811312833594172353680559291287
absolute error = 3.7613446665357801113298851690178e-20
relative error = 4.3327816891166953546515221114816e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.346
Order of pole = 1.534e-58
TOP MAIN SOLVE Loop
x[1] = 2.607
y[1] (analytic) = 0.086862491204086984446141737522572
y[1] (numeric) = 0.086862491204086984408414639934824
absolute error = 3.7727097587747836751395197957441e-20
relative error = 4.3433128689696999546076289532994e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.39
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.608
y[1] (analytic) = 0.086913714845140619437522249911
y[1] (numeric) = 0.086913714845140619399681233140278
absolute error = 3.7841016770722734698634366810575e-20
relative error = 4.3538602438230082260362828337523e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.389
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.609
y[1] (analytic) = 0.086964983810163788980858224378529
y[1] (numeric) = 0.086964983810163788942903019451686
absolute error = 3.7955204926842475566456818379930e-20
relative error = 4.3644238478437533228409454618943e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.388
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.61
y[1] (analytic) = 0.087016298152643990219368087642815
y[1] (numeric) = 0.087016298152643990181298424872045
absolute error = 3.8069662770770681088673337398025e-20
relative error = 4.3750037152797374413914286071185e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.387
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.611
y[1] (analytic) = 0.087067657926147645329198896574158
y[1] (numeric) = 0.087067657926147645291014505554876
absolute error = 3.8184391019281447614761863427705e-20
relative error = 4.3855998804596461520022434002536e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.386
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.612
y[1] (analytic) = 0.087119063184320241312835495512323
y[1] (numeric) = 0.087119063184320241274536105121057
absolute error = 3.8299390391266203826319067851926e-20
relative error = 4.3962123777932633633337177837732e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.385
Order of pole = 1225
TOP MAIN SOLVE Loop
memory used=160.2MB, alloc=4.5MB, time=24.25
x[1] = 2.613
y[1] (analytic) = 0.087170513980886470081466947251117
y[1] (numeric) = 0.087170513980886470043052285643376
absolute error = 3.8414661607740592769715102928551e-20
relative error = 4.4068412417716869217724185660756e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.384
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.614
y[1] (analytic) = 0.08722201036965036882699304910355
y[1] (numeric) = 0.087222010369650368788462843711698
absolute error = 3.8530205391851378298384983347589e-20
relative error = 4.4174865069675448478547064054017e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.383
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.615
y[1] (analytic) = 0.087273552404495460684355561179851
y[1] (numeric) = 0.087273552404495460645709538710968
absolute error = 3.8646022468883376018576803451082e-20
relative error = 4.4281482080352122118045719372328e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.382
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.616
y[1] (analytic) = 0.087325140139384895684880595096379
y[1] (numeric) = 0.087325140139384895646118481530113
absolute error = 3.8762113566266408832765451667602e-20
relative error = 4.4388263797110286502642492809167e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 0.5111
Order of pole = 4.03e-60
TOP MAIN SOLVE Loop
x[1] = 2.617
y[1] (analytic) = 0.087376773628361592001320437803072
y[1] (numeric) = 0.08737677362836159196244195838949
absolute error = 3.8878479413582287175330665894826e-20
relative error = 4.4495210568135165263034794332919e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.38
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.618
y[1] (analytic) = 0.087428452925548377485284917088101
y[1] (numeric) = 0.087428452925548377446289796345529
absolute error = 3.8995120742571814035490187696749e-20
relative error = 4.4602322742435997348007006962115e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.379
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.619
y[1] (analytic) = 0.087480178085148131497754252608287
y[1] (numeric) = 0.087480178085148131458642214321145
absolute error = 3.9112038287141814862872427469453e-20
relative error = 4.4709600669848231552968764086414e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.378
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.62
y[1] (analytic) = 0.087531949161443927033367179020342
y[1] (numeric) = 0.08753194916144392699413794623697
absolute error = 3.9229232783372192451508455415074e-20
relative error = 4.4817044701035727544301319804397e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.377
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.621
y[1] (analytic) = 0.087583766208799173139179975968766
y[1] (numeric) = 0.087583766208799173099833270999243
absolute error = 3.9346704969523006898420292533353e-20
relative error = 4.4924655187492963400668636726081e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.376
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.622
y[1] (analytic) = 0.087635629281657757628593893339026
y[1] (numeric) = 0.087635629281657757589129437752985
absolute error = 3.9464455586041580733381400221120e-20
relative error = 4.5032432481547249692525008568078e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.375
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.623
y[1] (analytic) = 0.087687538434544190091150319327324
y[1] (numeric) = 0.087687538434544190051567833951755
absolute error = 3.9582485375569629316825964831595e-20
relative error = 4.5140376936360950121126517348898e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.374
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.624
y[1] (analytic) = 0.087739493722063745198894903528672
y[1] (numeric) = 0.087739493722063745159194108445721
absolute error = 3.9700795082950416603286053098932e-20
relative error = 4.5248488905933708738429398272449e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.373
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.625
y[1] (analytic) = 0.087791495198902606310013717421125
y[1] (numeric) = 0.087791495198902606270194331965889
absolute error = 3.9819385455235936368139984132786e-20
relative error = 4.5356768745104683769334450676252e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.372
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.626
y[1] (analytic) = 0.087843542919828009370446410343893
y[1] (numeric) = 0.087843542919828009330508153102199
absolute error = 3.9938257241694118995861332229417e-20
relative error = 4.5465216809554788057812991929449e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.371
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.627
y[1] (analytic) = 0.0878956369396883871141832003487
y[1] (numeric) = 0.087895636939688387074125789154884
absolute error = 4.0057411193816063928365850569151e-20
relative error = 4.5573833455808936158526504111995e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.37
Order of pole = 1225
TOP MAIN SOLVE Loop
memory used=164.0MB, alloc=4.5MB, time=24.83
x[1] = 2.628
y[1] (analytic) = 0.087947777313413513562954426165378
y[1] (numeric) = 0.087947777313413513522777578100055
absolute error = 4.0176848065323297872463297557526e-20
relative error = 4.5682619041238298095629071913533e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.369
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.629
y[1] (analytic) = 0.087999964096014648826023278982502
y[1] (numeric) = 0.087999964096014648785726710370327
absolute error = 4.0296568612175058865832663744686e-20
relative error = 4.5791573924062559810518955686832e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.368
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.63
y[1] (analytic) = 0.08805219734258468420079423082003
y[1] (numeric) = 0.088052197342584684160377657227455
absolute error = 4.0416573592575606301352646593961e-20
relative error = 4.5900698463352190320383187210296e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.367
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.631
y[1] (analytic) = 0.088104477108298287574951579981993
y[1] (numeric) = 0.088104477108298287534414716215012
absolute error = 4.0536863766981557010034411579180e-20
relative error = 4.6009993019030715609456918696396e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.366
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.632
y[1] (analytic) = 0.088156803448412049130844443441416
y[1] (numeric) = 0.088156803448412049090187003543307
absolute error = 4.0657439898109247503220719928027e-20
relative error = 4.6119457951876999274997399172886e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.365
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.633
y[1] (analytic) = 0.088209176418264627352836441045529
y[1] (numeric) = 0.088209176418264627312058138294587
absolute error = 4.0778302750942122475134404597236e-20
relative error = 4.6229093623527529950050897811904e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.364
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.634
y[1] (analytic) = 0.088261596073276895338340237155378
y[1] (numeric) = 0.08826159607327689529744078406264
absolute error = 4.0899453092738149667279945610209e-20
relative error = 4.6338900396478715525169642344606e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.363
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.635
y[1] (analytic) = 0.088314062468952087413259031768776
y[1] (numeric) = 0.088314062468952087372238140075739
absolute error = 4.1020891693037261196624542599477e-20
relative error = 4.6448878634089184191314893637597e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.362
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.636
y[1] (analytic) = 0.088366575660875946052559025337878
y[1] (numeric) = 0.08836657566087594601141640601421
absolute error = 4.1142619323668821449909615210690e-20
relative error = 4.6559028700582092326261636089332e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 0.8286
Order of pole = 1.751e-59
TOP MAIN SOLVE Loop
x[1] = 2.637
y[1] (analytic) = 0.088419135704716869106698819401174
y[1] (numeric) = 0.088419135704716869065434182642415
absolute error = 4.1264636758759121646870089922285e-20
relative error = 4.6669350961047439246900029003027e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.36
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.638
y[1] (analytic) = 0.088471742656226057334643658823234
y[1] (numeric) = 0.088471742656226057293256714048495
absolute error = 4.1386944774738901175567163841813e-20
relative error = 4.6779845781444388849908737785922e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.359
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.639
y[1] (analytic) = 0.088524396571237662244194370892966
y[1] (numeric) = 0.088524396571237662202684826742615
absolute error = 4.1509544150350895803470481227948e-20
relative error = 4.6890513528603598163355546997537e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.358
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.64
y[1] (analytic) = 0.088577097505668934240362811791383
y[1] (numeric) = 0.088577097505668934198730376124726
absolute error = 4.1632435666657412868357825974222e-20
relative error = 4.7001354570229552831861251211858e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.357
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.641
y[1] (analytic) = 0.088629845515520371082527592021931
y[1] (numeric) = 0.088629845515520371040771971914883
absolute error = 4.1755620107047933553534532240578e-20
relative error = 4.7112369274902909558043725666110e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.356
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.642
y[1] (analytic) = 0.088682640656875866651105819319407
y[1] (numeric) = 0.08868264065687586660922672106216
absolute error = 4.1879098257246742352310855042224e-20
relative error = 4.7223558012082845523040298043634e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.355
Order of pole = 1225
memory used=167.8MB, alloc=4.5MB, time=25.41
TOP MAIN SOLVE Loop
x[1] = 2.643
y[1] (analytic) = 0.088735482985902860024478570336491
y[1] (numeric) = 0.088735482985902859982475699431171
absolute error = 4.2002870905320583827113532159175e-20
relative error = 4.7334921152109414808988076787769e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.354
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.644
y[1] (analytic) = 0.088788372558852484866909781069182
y[1] (numeric) = 0.088788372558852484824782842227496
absolute error = 4.2126938841686346769047717518227e-20
relative error = 4.7446459066205911846423741381036e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.353
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.645
y[1] (analytic) = 0.088841309432059719128200230543198
y[1] (numeric) = 0.088841309432059719085948927684079
absolute error = 4.2251302859118775864167383573186e-20
relative error = 4.7558172126481241909646467368437e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.352
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.646
y[1] (analytic) = 0.088894293661943535055820282762081
y[1] (numeric) = 0.088894293661943535013444319009323
absolute error = 4.2375963752758210973156185567581e-20
relative error = 4.7670060705932298683170144880436e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.351
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.647
y[1] (analytic) = 0.08894732530500704952026704833371
y[1] (numeric) = 0.088947325305007049477766126013591
absolute error = 4.2500922320118354131566663353103e-20
relative error = 4.7782125178446348922473855351356e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.35
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.648
y[1] (analytic) = 0.089000404417837674654393629564653
y[1] (numeric) = 0.089000404417837674611767450203559
absolute error = 4.2626179361094064378213536151015e-20
relative error = 4.7894365918803424232342698369334e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.596
Order of pole = 8.787e-59
TOP MAIN SOLVE Loop
x[1] = 2.649
y[1] (analytic) = 0.089053531057107268807460121160891
y[1] (numeric) = 0.089053531057107268764708385482922
absolute error = 4.2751735677969180519766731825142e-20
relative error = 4.8006783302678719986174510477762e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.348
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.65
y[1] (analytic) = 0.08910670527957228781465805301849
y[1] (numeric) = 0.089106705279572287771780460943065
absolute error = 4.2877592075424371940041694474750e-20
relative error = 4.8119377706645001409711791624288e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.347
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.651
y[1] (analytic) = 0.089159927142073936582861981948503
y[1] (numeric) = 0.089159927142073936539858232587958
absolute error = 4.3003749360545017562938442093387e-20
relative error = 4.8232149508175016852742254176945e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.346
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.652
y[1] (analytic) = 0.089213196701538320993363965576553
y[1] (numeric) = 0.089213196701538320950233757233724
absolute error = 4.3130208342829113078436809364119e-20
relative error = 4.8345099085643918272395835359058e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.345
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.653
y[1] (analytic) = 0.089266514014976600122348684108927
y[1] (numeric) = 0.089266514014976600079091714274732
absolute error = 4.3256969834195206541513319110578e-20
relative error = 4.8458226818331688951750767962421e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.344
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.654
y[1] (analytic) = 0.08931987913948513877986901418364
y[1] (numeric) = 0.089319879139485138736484979534649
absolute error = 4.3384034648990362454305189284173e-20
relative error = 4.8571533086425578477546387655184e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.343
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.655
y[1] (analytic) = 0.089373292132245660368083903646654
y[1] (numeric) = 0.089373292132245660324572500042656
absolute error = 4.3511403603998154442309110477964e-20
relative error = 4.8685018271022545000885769486570e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.342
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.656
y[1] (analytic) = 0.08942675305052540005952244683043
y[1] (numeric) = 0.089426753050525400015883369311983
absolute error = 4.3639077518446686635866631704275e-20
relative error = 4.8798682754131704804897032690545e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.341
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.657
y[1] (analytic) = 0.089480261951677258296140116784269
y[1] (numeric) = 0.089480261951677258252373059570252
absolute error = 4.3767057214016643868654279493721e-20
relative error = 4.8912526918676789203408232996972e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.34
Order of pole = 1225
memory used=171.6MB, alloc=4.5MB, time=25.99
TOP MAIN SOLVE Loop
x[1] = 2.658
y[1] (analytic) = 0.089533818893139954609935173933769
y[1] (numeric) = 0.089533818893139954566039830418919
absolute error = 4.3895343514849370805364917256083e-20
relative error = 4.9026551148498608794777176769617e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.339
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.659
y[1] (analytic) = 0.089587423932438181765895339850341
y[1] (numeric) = 0.089587423932438181721871402602786
absolute error = 4.4023937247554980111237338327471e-20
relative error = 4.9140755828357525095104242810330e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.914
Order of pole = 2.848e-58
TOP MAIN SOLVE Loop
x[1] = 2.66
y[1] (analytic) = 0.089641077127182760228046900211553
y[1] (numeric) = 0.089641077127182760183894060970332
absolute error = 4.4152839241220489776563687303547e-20
relative error = 4.9255141343935929575143387008345e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.337
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.661
y[1] (analytic) = 0.089694778535070792949380482649397
y[1] (numeric) = 0.089694778535070792905098432321979
absolute error = 4.4282050327417989709779030266902e-20
relative error = 4.9369708081840730125313933590229e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.336
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.662
y[1] (analytic) = 0.089748528213885820486429843037004
y[1] (numeric) = 0.089748528213885820442018271696791
absolute error = 4.4411571340212837713214255551224e-20
relative error = 4.9484456429605844973303525963009e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.335
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.663
y[1] (analytic) = 0.089802326221497976439282087875348
y[1] (numeric) = 0.089802326221497976394740684759176
absolute error = 4.4541403116171884956072492990904e-20
relative error = 4.9599386775694704078840721470223e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.334
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.664
y[1] (analytic) = 0.08985617261586414321779986083076
y[1] (numeric) = 0.089856172615864143173128314336388
absolute error = 4.4671546494371731059670401479711e-20
relative error = 4.9714499509502758030304169234595e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.333
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.665
y[1] (analytic) = 0.089910067455028108134838128162306
y[1] (numeric) = 0.089910067455028108090036125845899
absolute error = 4.4802002316407008910469002456163e-20
relative error = 4.9829795021359994467924110084300e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.332
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.666
y[1] (analytic) = 0.089964010797120719827240310786073
y[1] (numeric) = 0.089964010797120719782307539359674
absolute error = 4.4932771426398699316904241049055e-20
relative error = 4.9945273702533462058421083801826e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.331
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.667
y[1] (analytic) = 0.090018002700360045005400630072008
y[1] (numeric) = 0.090018002700360044960336775401006
absolute error = 4.5063854671002475626515147510233e-20
relative error = 5.0060935945229802046016223050981e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.33
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.668
y[1] (analytic) = 0.090072043223051525532181660179078
y[1] (numeric) = 0.090072043223051525486986407279661
absolute error = 4.5195252899417078420357359742513e-20
relative error = 5.0176782142597787404837356790996e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.33
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.669
y[1] (analytic) = 0.090126132423588135831978211827234
y[1] (numeric) = 0.090126132423588135786651244863842
absolute error = 4.5326966963392720402181863761538e-20
relative error = 5.0292812688730869617835340245983e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.329
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.67
y[1] (analytic) = 0.090180270360450540630720810900991
y[1] (numeric) = 0.090180270360450540585261813183752
absolute error = 4.5458997717239521600353123428542e-20
relative error = 5.0409027978669733107415575038676e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.328
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.671
y[1] (analytic) = 0.090234457092207253027614180200557
y[1] (numeric) = 0.090234457092207252982022834182721
absolute error = 4.5591346017835975000977314427425e-20
relative error = 5.0525428408404857343080583401750e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 0.9003
Order of pole = 1.301e-58
TOP MAIN SOLVE Loop
x[1] = 2.672
y[1] (analytic) = 0.090288692677514792899408284023669
y[1] (numeric) = 0.090288692677514792853684271299031
memory used=175.4MB, alloc=4.5MB, time=26.57
absolute error = 4.5724012724637442731210160960306e-20
relative error = 5.0642014374879086651470755936939e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.326
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.673
y[1] (analytic) = 0.090342977175117845638001653095796
y[1] (numeric) = 0.090342977175117845592144654396112
absolute error = 4.5856998699684682912214907781334e-20
relative error = 5.0758786275990207754282004697313e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.325
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.674
y[1] (analytic) = 0.090397310643849421222178871689696
y[1] (numeric) = 0.090397310643849421176188566882083
absolute error = 4.5990304807612407301744255814760e-20
relative error = 5.0875744510593535059631023923748e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.324
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.675
y[1] (analytic) = 0.090451693142631013624286279608796
y[1] (numeric) = 0.090451693142631013578162347693139
absolute error = 4.6123931915657869846825657601552e-20
relative error = 5.0992889478504503732531191082115e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.323
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.676
y[1] (analytic) = 0.090506124730472760552652119074202
y[1] (numeric) = 0.090506124730472760506394238180533
absolute error = 4.6257880893669486267537220135917e-20
relative error = 5.1110221580501270570234832438846e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.814
Order of pole = 1.563e-58
TOP MAIN SOLVE Loop
x[1] = 2.677
y[1] (analytic) = 0.090560605466473603530559540473753
y[1] (numeric) = 0.090560605466473603484167387859638
absolute error = 4.6392152614115484793371608292274e-20
relative error = 5.1227741218327322708290631802242e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.321
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.678
y[1] (analytic) = 0.090615135409821448312583071425387
y[1] (numeric) = 0.090615135409821448266056323473294
absolute error = 4.6526747952092588174197793063692e-20
relative error = 5.1345448794694094183258379774830e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.32
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.679
y[1] (analytic) = 0.090669714619793325639101350697672
y[1] (numeric) = 0.090669714619793325592439682912337
absolute error = 4.6661667785334727088345256350788e-20
relative error = 5.1463344713283590378117045444835e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.319
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.68
y[1] (analytic) = 0.090724343155755552329801132239803
y[1] (numeric) = 0.090724343155755552283004219245581
absolute error = 4.6796912994221785070852359228515e-20
relative error = 5.1581429378751020376496304436039e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.318
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.681
y[1] (analytic) = 0.090779021077163892716989774923403
y[1] (numeric) = 0.090779021077163892670057290461615
absolute error = 4.6932484461788375085440014707469e-20
relative error = 5.1699703196727437251956178185397e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.317
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.682
y[1] (analytic) = 0.090833748443563720419535650611257
y[1] (numeric) = 0.090833748443563720372467267537524
absolute error = 4.7068383073732647864293590284229e-20
relative error = 5.1818166573822386318634330784428e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.316
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.683
y[1] (analytic) = 0.090888525314590180458258126865657
y[1] (numeric) = 0.090888525314590180411053517147232
absolute error = 4.7204609718425132140260111387597e-20
relative error = 5.1936819917626561369675833268081e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.315
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.684
y[1] (analytic) = 0.090943351749968351713591011013604
y[1] (numeric) = 0.090943351749968351666249845726686
absolute error = 4.7341165286917606896594355578383e-20
relative error = 5.2055663636714468929955842435270e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.314
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.685
y[1] (analytic) = 0.090998227809513409726345579419841
y[1] (numeric) = 0.090998227809513409678867528746889
absolute error = 4.7478050672952005759916330512202e-20
relative error = 5.2174698140647100549701653717295e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.313
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.686
y[1] (analytic) = 0.091053153553130789842401559704099
y[1] (numeric) = 0.09105315355313078979478629293113
absolute error = 4.7615266772969353662573927748900e-20
relative error = 5.2293923839974613165716976859936e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.296
Order of pole = 1.207e-58
TOP MAIN SOLVE Loop
memory used=179.2MB, alloc=4.5MB, time=27.14
x[1] = 2.687
y[1] (analytic) = 0.091108129040816350702156684298215
y[1] (numeric) = 0.091108129040816350654403869812097
absolute error = 4.7752814486118735901138251069364e-20
relative error = 5.2413341146239017557008050845155e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.311
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.688
y[1] (analytic) = 0.09116315433265653807556769119466
y[1] (numeric) = 0.091163154332656538027676996480394
absolute error = 4.7890694714266299718295243680495e-20
relative error = 5.2532950471976874921708362149517e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.31
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.689
y[1] (analytic) = 0.091218229488828549043617912012903
y[1] (numeric) = 0.091218229488828548995589003650898
absolute error = 4.8028908362004288535935795252085e-20
relative error = 5.2652752230722001602296259726173e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.309
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.69
y[1] (analytic) = 0.091273354569600496527048858626701
y[1] (numeric) = 0.091273354569600496478881402290041
absolute error = 4.8167456336660108967787508894992e-20
relative error = 5.2772746837008181986197672620442e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.308
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.691
y[1] (analytic) = 0.091328529635331574163195497576552
y[1] (numeric) = 0.091328529635331574114889158028246
absolute error = 4.8306339548305430740474761779055e-20
relative error = 5.2892934706371889608964433507929e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.307
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.692
y[1] (analytic) = 0.091383754746472221531767186359988
y[1] (numeric) = 0.091383754746472221483321627450222
absolute error = 4.8445558909765319652439612982691e-20
relative error = 5.3013316255355016487317395308222e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.306
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.693
y[1] (analytic) = 0.09143902996356428973041853747112
y[1] (numeric) = 0.091439029963564289681833422134493
absolute error = 4.8585115336627403700704510306595e-20
relative error = 5.3133891901507610709442600013598e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.4
Order of pole = 1.116e-58
TOP MAIN SOLVE Loop
x[1] = 2.694
y[1] (analytic) = 0.091494355347241207300956774772737
y[1] (numeric) = 0.091494355347241207252231765025486
absolute error = 4.8725009747251072506008636175168e-20
relative error = 5.3254662063390622310028220625102e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.304
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.695
y[1] (analytic) = 0.091549730958228146507034452452503
y[1] (numeric) = 0.091549730958228146458169209389726
absolute error = 4.8865243062776710167403123456955e-20
relative error = 5.3375627160578657457629850259840e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.303
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.696
y[1] (analytic) = 0.091605156857342189964178719462505
y[1] (numeric) = 0.09160515685734218991517290325537
absolute error = 4.9005816207134961677946277187153e-20
relative error = 5.3496787613662740982051958742627e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.302
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.697
y[1] (analytic) = 0.091660633105492497623010631991816
y[1] (numeric) = 0.09166063310549249757386390188476
absolute error = 4.9146730107056033033698369961525e-20
relative error = 5.3618143844253087269533977989158e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.301
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.698
y[1] (analytic) = 0.091716159763680474106510343198201
y[1] (numeric) = 0.091716159763680474057222357506122
absolute error = 4.9287985692079025168776549444740e-20
relative error = 5.3739696274981879553630514901209e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.3
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.699
y[1] (analytic) = 0.091771736892999936402186333151044
y[1] (numeric) = 0.091771736892999936352756749256483
absolute error = 4.9429583894561301849793918313601e-20
relative error = 5.3861445329506057629776626008990e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.299
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.7
y[1] (analytic) = 0.091827364554637281910009182736455
y[1] (numeric) = 0.091827364554637281860437657086768
absolute error = 4.9571525649687891663572932416420e-20
relative error = 5.3983391432510114021630923401482e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.298
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.701
y[1] (analytic) = 0.091883042809871656846972743171
y[1] (numeric) = 0.091883042809871656797258931275519
absolute error = 4.9713811895480924232591924417584e-20
relative error = 5.4105535009708898627391518279826e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.297
Order of pole = 1225
TOP MAIN SOLVE Loop
memory used=183.1MB, alloc=4.5MB, time=27.72
x[1] = 2.702
y[1] (analytic) = 0.091938771720075125009147907786147
y[1] (numeric) = 0.091938771720075124959291464213338
absolute error = 4.9856443572809100793194810218850e-20
relative error = 5.4227876487850431874382448456762e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.296
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.703
y[1] (analytic) = 0.091994551346712836892096554905246
y[1] (numeric) = 0.091994551346712836842097133279849
absolute error = 4.9999421625397199272167886578406e-20
relative error = 5.4350416294718726410311281019557e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.295
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.704
y[1] (analytic) = 0.092050381751343199170515599962296
y[1] (numeric) = 0.092050381751343199120372852962461
absolute error = 5.0142746999835613997864093222463e-20
relative error = 5.4473154859136617359702032895704e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.294
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.705
y[1] (analytic) = 0.092106262995618044537983471531105
y[1] (numeric) = 0.092106262995618044487697050885516
absolute error = 5.0286420645589930182634204064491e-20
relative error = 5.4596092610968601174111411938328e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.293
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.706
y[1] (analytic) = 0.092162195141282801907683709668441
y[1] (numeric) = 0.09216219514128280185725326615343
absolute error = 5.0430443515010533313906142682342e-20
relative error = 5.4719229981123683104840651118162e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.292
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.707
y[1] (analytic) = 0.092218178250176666974982775949757
y[1] (numeric) = 0.092218178250176666924407959386415
absolute error = 5.0574816563342253591837999787336e-20
relative error = 5.4842567401558233326959890215590e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.291
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.708
y[1] (analytic) = 0.092274212384232773142741562815116
y[1] (numeric) = 0.092274212384232773092022022066382
absolute error = 5.0719540748734045552057377952329e-20
relative error = 5.4966105305278851743567154801716e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.29
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.709
y[1] (analytic) = 0.092330297605478362810242495370328
y[1] (numeric) = 0.092330297605478362759377878338079
absolute error = 5.0864617032248703012589414314966e-20
relative error = 5.5089844126345241499309493042223e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.289
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.71
y[1] (analytic) = 0.092386433976034959026616531628496
y[1] (numeric) = 0.092386433976034958975606485250623
absolute error = 5.1010046377872609484668248371669e-20
relative error = 5.5213784299873091232299758719978e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.288
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.711
y[1] (analytic) = 0.092442621558118537509656787354515
y[1] (numeric) = 0.092442621558118537458500957601989
absolute error = 5.1155829752525524187721822429189e-20
relative error = 5.5337926262036966093668875628602e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.287
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.712
y[1] (analytic) = 0.092498860414039699030907939214189
y[1] (numeric) = 0.092498860414039698979605971088118
absolute error = 5.1301968126070403809417739952909e-20
relative error = 5.5462270450073207564100185923746e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.286
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.713
y[1] (analytic) = 0.092555150606203842167922994855137
y[1] (numeric) = 0.092555150606203842116474532383814
absolute error = 5.1448462471323260152258475182142e-20
relative error = 5.5586817302282842096799674924520e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.285
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.714
y[1] (analytic) = 0.092611492197111336424581460883314
y[1] (numeric) = 0.092611492197111336372986147119251
absolute error = 5.1595313764063053808817539278381e-20
relative error = 5.5711567258034498616463479034995e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.284
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.715
y[1] (analytic) = 0.092667885249357695720365389471538
y[1] (numeric) = 0.092667885249357695668622866488497
absolute error = 5.1742522983041624008314277307890e-20
relative error = 5.5836520757767334903912123714183e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.283
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.716
y[1] (analytic) = 0.092724329825633752249492241569875
y[1] (numeric) = 0.092724329825633752197602150459881
absolute error = 5.1890091109993654777833809979268e-20
relative error = 5.5961678242993972896169406579577e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.282
Order of pole = 1225
TOP MAIN SOLVE Loop
memory used=186.9MB, alloc=4.5MB, time=28.30
x[1] = 2.717
y[1] (analytic) = 0.092780825988725830710805969407007
y[1] (numeric) = 0.09278082598872583065876795027736
absolute error = 5.2038019129646677562110257773826e-20
relative error = 5.6087040156303442931872738609924e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.281
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.718
y[1] (analytic) = 0.092837373801515922909330193202002
y[1] (numeric) = 0.092837373801515922857143885172271
absolute error = 5.2186308029731110446405806505507e-20
relative error = 5.6212606941364136972011085851342e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.28
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.719
y[1] (analytic) = 0.092893973326981862730389826772247
y[1] (numeric) = 0.092893973326981862678054867971257
absolute error = 5.2334958800990334127635406082336e-20
relative error = 5.6338379042926770826096416869551e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.279
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.72
y[1] (analytic) = 0.09295062462819750148720999405116
y[1] (numeric) = 0.092950624628197501434726021613969
absolute error = 5.2483972437190804779506952038076e-20
relative error = 5.6464356906827355413984759280643e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.278
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.721
y[1] (analytic) = 0.093007327768332883642903573443841
y[1] (numeric) = 0.093007327768332883590270223508709
absolute error = 5.2633349935132203958069696057456e-20
relative error = 5.6590540979990177093673603892810e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.277
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.722
y[1] (analytic) = 0.09306408281065442290776120947571
y[1] (numeric) = 0.093064082810654422854978117181053
absolute error = 5.2783092294657625694689381099105e-20
relative error = 5.6716931710430787085513469169411e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.276
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.723
y[1] (analytic) = 0.093120889818525078712760141353786
y[1] (numeric) = 0.093120889818525078659826940835122
absolute error = 5.2933200518663800924097212767194e-20
relative error = 5.6843529547259000023382953756223e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.275
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.724
y[1] (analytic) = 0.093177748855404533060210715888372
y[1] (numeric) = 0.09317774885540453300712704027526
absolute error = 5.3083675613111359395791275308362e-20
relative error = 5.6970334940681901663488562587380e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.274
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.725
y[1] (analytic) = 0.093234659984849367752461977740225
y[1] (numeric) = 0.09323465998484936769922745915319
absolute error = 5.3234518587035129217703392099909e-20
relative error = 5.7097348342006865781562994489158e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.273
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.726
y[1] (analytic) = 0.093291623270513241999590263190596
y[1] (numeric) = 0.093291623270513241946204532738041
absolute error = 5.3385730452554474181681730907105e-20
relative error = 5.7224570203644580289348428140481e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.272
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.727
y[1] (analytic) = 0.093348638776147070406997264604838
y[1] (numeric) = 0.093348638776147070353459952379954
absolute error = 5.3537312224883669020979677753781e-20
relative error = 5.7352000979112082601364640634803e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.271
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.728
y[1] (analytic) = 0.093405706565599201343846581500589
y[1] (numeric) = 0.093405706565599201290157316578247
absolute error = 5.3689264922342312750584664277242e-20
relative error = 5.7479641123035804283075540639752e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.857
Order of pole = 7.681e-59
TOP MAIN SOLVE Loop
x[1] = 2.729
y[1] (analytic) = 0.093462826702815595693270330664938
y[1] (numeric) = 0.093462826702815595639428741098573
absolute error = 5.3841589566365780241866746306493e-20
relative error = 5.7607491091154625011681898196829e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.269
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.73
y[1] (analytic) = 0.09351999925184000598527995211776
y[1] (numeric) = 0.093519999251840005931285664936245
absolute error = 5.3994287181515712183675810567106e-20
relative error = 5.7735551340322935880882707481300e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.6
Order of pole = 7.686e-59
TOP MAIN SOLVE Loop
x[1] = 2.731
y[1] (analytic) = 0.093577224276814155913317919916799
y[1] (numeric) = 0.093577224276814155859170561121308
absolute error = 5.4147358795490543582668346407326e-20
relative error = 5.7863822328513712081062729298174e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.743
Order of pole = 1.201e-59
TOP MAIN SOLVE Loop
memory used=190.7MB, alloc=4.5MB, time=28.88
x[1] = 2.732
y[1] (analytic) = 0.093634501841977920235389646870585
y[1] (numeric) = 0.093634501841977920181088841431449
absolute error = 5.4300805439136070956299774864464e-20
relative error = 5.7992304514821594986479328679210e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.266
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.733
y[1] (analytic) = 0.093691832011669505060717460194322
y[1] (numeric) = 0.093691832011669505006262832047866
absolute error = 5.4454628146456058372576392930477e-20
relative error = 5.8120998359465983681137751632454e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.265
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.734
y[1] (analytic) = 0.093749214850325628522861121038111
y[1] (numeric) = 0.093749214850325628468252293083488
absolute error = 5.4608827954622882491322081289734e-20
relative error = 5.8249904323794135955160475852976e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.264
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.735
y[1] (analytic) = 0.093806650422481701840251964663035
y[1] (numeric) = 0.093806650422481701785488558759047
absolute error = 5.4763405903988216762379053925886e-20
relative error = 5.8379022870284278803573225013708e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.263
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.736
y[1] (analytic) = 0.093864138792772010765090349865436
y[1] (numeric) = 0.093864138792772010710171986827343
absolute error = 5.4918363038093754936829112741597e-20
relative error = 5.8508354462548728459547657109870e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.262
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.737
y[1] (analytic) = 0.093921680025929897421558726080144
y[1] (numeric) = 0.093921680025929897366485025676462
absolute error = 5.5073700403681974047992124695380e-20
relative error = 5.8637899565337019994258626230078e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.261
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.738
y[1] (analytic) = 0.093979274186787942534305254456403
y[1] (numeric) = 0.093979274186787942479075835405696
absolute error = 5.5229419050706937019631778002853e-20
relative error = 5.8767658644539046515632276081539e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.26
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.739
y[1] (analytic) = 0.094036921340278148048155555122986
y[1] (numeric) = 0.094036921340278147992770035090641
absolute error = 5.5385520032345135059475112823030e-20
relative error = 5.8897632167188207998380054624876e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.259
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.74
y[1] (analytic) = 0.094094621551432120140012796868531
y[1] (numeric) = 0.094094621551432120084470792463525
absolute error = 5.5542004405006369996831875780362e-20
relative error = 5.9027820601464569777833044304338e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.258
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.741
y[1] (analytic) = 0.094152374885381252623908997586969
y[1] (numeric) = 0.094152374885381252568210124358624
absolute error = 5.5698873228344676723782431966308e-20
relative error = 5.9158224416698030740210783629114e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.257
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.742
y[1] (analytic) = 0.094210181407356910750173064103245
y[1] (numeric) = 0.094210181407356910694316936537976
absolute error = 5.5856127565269285900088798106343e-20
relative error = 5.9288844083371501242079015318285e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.256
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.743
y[1] (analytic) = 0.094268041182690615399683768429049
y[1] (numeric) = 0.094268041182690615343669999947093
absolute error = 5.6013768481955627082672351835837e-20
relative error = 5.9419680073124090791871535921980e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.255
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.744
y[1] (analytic) = 0.094325954276814227674178534129394
y[1] (numeric) = 0.094325954276814227618006737081538
absolute error = 5.6171797047856372441193940048558e-20
relative error = 5.9550732858754305526472543840663e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.254
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.745
y[1] (analytic) = 0.0943839207552601338835915913365
y[1] (numeric) = 0.094383920755260133827261377000787
absolute error = 5.6330214335712521221967469693080e-20
relative error = 5.9682002914223255515977589058493e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.253
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.746
y[1] (analytic) = 0.094441940683661430931397752055151
y[1] (numeric) = 0.094441940683661430874908730633587
absolute error = 5.6489021421564525123136632905428e-20
relative error = 5.9813490714657871929873420770525e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.252
Order of pole = 1225
memory used=194.5MB, alloc=4.5MB, time=29.47
TOP MAIN SOLVE Loop
x[1] = 2.747
y[1] (analytic) = 0.094500014127752112098940758791643
y[1] (numeric) = 0.09450001412775211204229253940688
absolute error = 5.6648219384763454744746210773247e-20
relative error = 5.9945196736354134097999710511840e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.251
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.748
y[1] (analytic) = 0.094558141153367253229727869234412
y[1] (numeric) = 0.09455814115336725317292005992643
absolute error = 5.6807809307982207278044432202692e-20
relative error = 6.0077121456780306499778800493730e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.25
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.749
y[1] (analytic) = 0.094616321826443199314675057746707
y[1] (numeric) = 0.09461632182644319925770726546948
absolute error = 5.6967792277226755599061152262208e-20
relative error = 6.0209265354580185715323291732043e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.249
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.75
y[1] (analytic) = 0.094674556213017751479289940828402
y[1] (numeric) = 0.094674556213017751422161771446555
absolute error = 5.7128169381847438932218174049113e-20
relative error = 6.0341628909576357372155446339375e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.248
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.751
y[1] (analytic) = 0.094732844379230354373782268493533
y[1] (numeric) = 0.094732844379230354316493326778982
absolute error = 5.7288941714550295250442885691023e-20
relative error = 6.0474212602773463121397035179733e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.247
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.752
y[1] (analytic) = 0.094791186391322283967094566720862
y[1] (numeric) = 0.094791186391322283909644456349454
absolute error = 5.7450110371408435578974535764862e-20
relative error = 6.0607016916361477677413418094955e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.246
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.753
y[1] (analytic) = 0.094849582315636835745848267795276
y[1] (numeric) = 0.094849582315636835688236591343402
absolute error = 5.7611676451873460370773942486524e-20
relative error = 6.0740042333718995955021301260090e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.245
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.754
y[1] (analytic) = 0.094908032218619513319203425496625
y[1] (numeric) = 0.094908032218619513261429784437838
absolute error = 5.7773641058786918122172240874778e-20
relative error = 6.0873289339416530338495777073295e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.244
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.755
y[1] (analytic) = 0.09496653616681821743063288073865
y[1] (numeric) = 0.094966536166818217372696875440258
absolute error = 5.7936005298391806398122434189980e-20
relative error = 6.1006758419219818116738918508134e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.243
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.756
y[1] (analytic) = 0.095025094226883435377614520442558
y[1] (numeric) = 0.095025094226883435319515750162214
absolute error = 5.8098770280344115437149047844475e-20
relative error = 6.1140450060093139119099374235706e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.242
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.757
y[1] (analytic) = 0.095083706465568430840248058176776
y[1] (numeric) = 0.095083706465568430781986121059051
absolute error = 5.8261937117724414506826102316751e-20
relative error = 6.1274364750202643586460095254428e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.241
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.758
y[1] (analytic) = 0.09514237294972943411980555943525
y[1] (numeric) = 0.095142372949729434061380052508201
absolute error = 5.8425506927049481181351943102328e-20
relative error = 6.1408502978919690312339520450137e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.24
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.759
y[1] (analytic) = 0.095201093746325832788227737390829
y[1] (numeric) = 0.095201093746325832729638256562545
absolute error = 5.8589480828283973713531207215900e-20
relative error = 6.1542865236824195088880259662360e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.239
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.76
y[1] (analytic) = 0.095259868922420362749580856576741
y[1] (numeric) = 0.095259868922420362690826996631889
absolute error = 5.8753859944852146674219384124251e-20
relative error = 6.1677452015707989492728540678274e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.238
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.761
y[1] (analytic) = 0.095318698545179299714491902247624
y[1] (numeric) = 0.095318698545179299655573256843975
absolute error = 5.8918645403649610033034061229883e-20
relative error = 6.1812263808578190045937433348411e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.237
Order of pole = 1225
memory used=198.3MB, alloc=4.5MB, time=30.05
TOP MAIN SOLVE Loop
x[1] = 2.762
y[1] (analytic) = 0.095377582681872651088582502181285
y[1] (numeric) = 0.09537758268187265102949866384623
absolute error = 5.9083838335055131854889047222215e-20
relative error = 6.1947301109660577787157131962411e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.236
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.763
y[1] (analytic) = 0.09543652139987434827592492543306
y[1] (numeric) = 0.095436521399874348216675485560117
absolute error = 5.9249439872942484787663157937460e-20
relative error = 6.2082564414402988288506368394240e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.235
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.764
y[1] (analytic) = 0.095495514766662439398546329076016
y[1] (numeric) = 0.095495514766662439339130877921324
absolute error = 5.9415451154692336517074546081090e-20
relative error = 6.2218054219478712153650345589916e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.234
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.765
y[1] (analytic) = 0.095554562849819282433010279282099
y[1] (numeric) = 0.095554562849819282373428405960894
absolute error = 5.9581873321204184365594075620135e-20
relative error = 6.2353771022789906032742426003173e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.233
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.766
y[1] (analytic) = 0.09561366571703173876510743725162
y[1] (numeric) = 0.095613665717031738705358729734711
absolute error = 5.9748707516908334212997401289586e-20
relative error = 6.2489715323471014190019184872186e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.986
Order of pole = 1.821e-59
TOP MAIN SOLVE Loop
x[1] = 2.767
y[1] (analytic) = 0.095672823436091367163690173511276
y[1] (numeric) = 0.095672823436091367103774218621498
absolute error = 5.9915954889777923916925131012991e-20
relative error = 6.2625887621892200659971346071064e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.231
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.768
y[1] (analytic) = 0.095732036074894618174688756004313
y[1] (numeric) = 0.095732036074894618114605139412972
absolute error = 6.0083616591340991412593741739356e-20
relative error = 6.2762288419662792028146560971077e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.23
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.769
y[1] (analytic) = 0.095791303701443028936349648220806
y[1] (numeric) = 0.095791303701443028876097954444113
absolute error = 6.0251693776692587671576804966686e-20
relative error = 6.2898918219634730872773970627383e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 3.069
Order of pole = 2.862e-58
TOP MAIN SOLVE Loop
x[1] = 2.77
y[1] (analytic) = 0.095850626383843418416739353391674
y[1] (numeric) = 0.095850626383843418356319165787167
absolute error = 6.0420187604506934700356574870672e-20
relative error = 6.3035777525906039903535010996823e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.228
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.771
y[1] (analytic) = 0.095910004190308083074560149527533
y[1] (numeric) = 0.095910004190308083013971050290483
absolute error = 6.0589099237049628760130117392385e-20
relative error = 6.3172866843824296833939982131478e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.227
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.772
y[1] (analytic) = 0.095969437189154992944326977853325
y[1] (numeric) = 0.095969437189154992883568548013135
absolute error = 6.0758429840189888990141930863172e-20
relative error = 6.3310186679990120023905507732336e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.226
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.773
y[1] (analytic) = 0.096028925448807988146957674002732
y[1] (numeric) = 0.09602892544880798808602949341932
absolute error = 6.0928180583412851617606445855011e-20
relative error = 6.3447737542260664929264163449809e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.225
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.774
y[1] (analytic) = 0.096088469037796975826831667223339
y[1] (numeric) = 0.096088469037796975765733314583507
absolute error = 6.1098352639831909938078912132456e-20
relative error = 6.3585519939753131395074253255979e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.224
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.775
y[1] (analytic) = 0.096148068024758127516375217835467
y[1] (numeric) = 0.096148068024758127455106270649266
absolute error = 6.1268947186201100250932002136072e-20
relative error = 6.3723534382848281829734965471649e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.223
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.776
y[1] (analytic) = 0.096207722478434076929234217315543
y[1] (numeric) = 0.096207722478434076867794251912615
absolute error = 6.1439965402927533935398001731666e-20
relative error = 6.3861781383193970297049946004724e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.222
Order of pole = 1225
memory used=202.1MB, alloc=4.5MB, time=30.63
TOP MAIN SOLVE Loop
x[1] = 2.777
y[1] (analytic) = 0.096267432467674118183098538670002
y[1] (numeric) = 0.096267432467674118121487130195918
absolute error = 6.1611408474083875853442738496143e-20
relative error = 6.4000261453708682563520688451580e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.221
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.778
y[1] (analytic) = 0.096327198061434404453244897259337
y[1] (numeric) = 0.096327198061434404391461619671916
absolute error = 6.1783277587420869266547434158994e-20
relative error = 6.4138975108585087138290061347581e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.22
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.779
y[1] (analytic) = 0.096387019328778147057868163955477
y[1] (numeric) = 0.096387019328778146995912590021097
absolute error = 6.1955573934379907454288479655379e-20
relative error = 6.4277922863293597343295774455629e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.219
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.78
y[1] (analytic) = 0.096446896338875814976274063500637
y[1] (numeric) = 0.096446896338875814914145764790531
absolute error = 6.2128298710105652223422737348875e-20
relative error = 6.4417105234585944451333630992807e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.218
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.781
y[1] (analytic) = 0.096506829161005334801009191213902
y[1] (numeric) = 0.096506829161005334738707738100444
absolute error = 6.2301453113458699497007394224372e-20
relative error = 6.4556522740498761929871023566457e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.217
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.782
y[1] (analytic) = 0.096566817864552291125007290794749
y[1] (numeric) = 0.09656681786455229106253225244772
absolute error = 6.2475038347028292173908641209602e-20
relative error = 6.4696175900357180828592310785342e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.216
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.783
y[1] (analytic) = 0.096626862519010127364833754932439
y[1] (numeric) = 0.096626862519010127302184699315294
absolute error = 6.2649055617145080449882556332767e-20
relative error = 6.4836065234778436348799461503532e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.215
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.784
y[1] (analytic) = 0.096686963193980347021113338778743
y[1] (numeric) = 0.096686963193980346958289832644849
absolute error = 6.2823506133893929792244542340270e-20
relative error = 6.4976191265675485632933676930285e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.214
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.785
y[1] (analytic) = 0.096747119959172715377229114110809
y[1] (numeric) = 0.096747119959172715314230722999683
absolute error = 6.2998391111126776760980531960377e-20
relative error = 6.5116554516260636812626599896214e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.213
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.786
y[1] (analytic) = 0.096807332884405461637383739233572
y[1] (numeric) = 0.096807332884405461574210027467097
absolute error = 6.3173711766475532869993945585882e-20
relative error = 6.5257155511049189353833197913726e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.212
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.787
y[1] (analytic) = 0.096867602039605481505117176379145
y[1] (numeric) = 0.09686760203960548144176770705778
absolute error = 6.3349469321365036683027086244024e-20
relative error = 6.5397994775863085737742464829188e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.211
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.788
y[1] (analytic) = 0.096927927494808540203378054586707
y[1] (numeric) = 0.096927927494808540139852389585681
absolute error = 6.3525665001026054339644304910781e-20
relative error = 6.5539072837834574516306727368345e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.21
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.789
y[1] (analytic) = 0.096988309320159475937248951823094
y[1] (numeric) = 0.096988309320159475873546651788586
absolute error = 6.3702300034508328707516885198950e-20
relative error = 6.5680390225409884781375570269837e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.209
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.79
y[1] (analytic) = 0.09704874758591240380042895546433
y[1] (numeric) = 0.097048747585912403736549579809636
absolute error = 6.3879375654693677358106199998863e-20
relative error = 6.5821947468352912086566209540828e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.208
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.791
y[1] (analytic) = 0.097109242362430920126579955234581
y[1] (numeric) = 0.097109242362430920062523062136272
memory used=206.0MB, alloc=4.5MB, time=31.22
absolute error = 6.4056893098309139563702303676269e-20
relative error = 6.5963745097748915861148550222334e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.207
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.792
y[1] (analytic) = 0.097169793720188307286646227324457
y[1] (numeric) = 0.097169793720188307222411373718517
absolute error = 6.4234853605940172514639761938160e-20
relative error = 6.6105783646008228355370165500276e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.206
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.793
y[1] (analytic) = 0.097230401729767738933259982718268
y[1] (numeric) = 0.097230401729767738868846724296224
absolute error = 6.4413258422043896956381207574661e-20
relative error = 6.6248063646869975156794030634304e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.205
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.794
y[1] (analytic) = 0.097291066461862485693348676783121
y[1] (numeric) = 0.097291066461862485628756567988159
absolute error = 6.4592108794962392447031864190960e-20
relative error = 6.6390585635405807317370040604747e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.204
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.795
y[1] (analytic) = 0.097351787987276121310063010944775
y[1] (numeric) = 0.097351787987276121245291604967839
absolute error = 6.4771405976936042436725122082138e-20
relative error = 6.6533350148023645131110137215577e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.203
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.796
y[1] (analytic) = 0.097412566376922729235147700829643
y[1] (numeric) = 0.097412566376922729170196549605526
absolute error = 6.4951151224116929371200201008217e-20
relative error = 6.6676357722471433602386272267317e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.202
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.797
y[1] (analytic) = 0.097473401701827109672880238622685
y[1] (numeric) = 0.097473401701827109607748892826103
absolute error = 6.5131345796582280022778014337968e-20
relative error = 6.6819608897840909645020440969821e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.201
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.798
y[1] (analytic) = 0.097534294033124987076706040610939
y[1] (numeric) = 0.097534294033124987011394049652591
absolute error = 6.5311990958347961252830578498120e-20
relative error = 6.6963104214571381052486636654783e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.2
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.799
y[1] (analytic) = 0.09759524344206321809970154398603
y[1] (numeric) = 0.097595243442063218034208456008648
absolute error = 6.5493087977382026410732711649692e-20
relative error = 6.7106844214453517279695806738012e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.199
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.8
y[1] (analytic) = 0.09765625
y[1] (numeric) = 0.097656249999999999934325361874382
absolute error = 6.5674638125618312575182356885555e-20
relative error = 6.7250829440633152076986733450808e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.198
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.801
y[1] (analytic) = 0.097717313778405079502317903541481
y[1] (numeric) = 0.097717313778405079436461260862511
absolute error = 6.5856642678970088844677668984419e-20
relative error = 6.7395060437615098017098223799662e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.529
Order of pole = 1.515e-58
TOP MAIN SOLVE Loop
x[1] = 2.802
y[1] (analytic) = 0.097778434848859962116723202157696
y[1] (numeric) = 0.097778434848859962050684099240353
absolute error = 6.6039102917343755884845040959293e-20
relative error = 6.7539537751266972956051074227904e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.196
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.803
y[1] (analytic) = 0.097839613283058121915789640526498
y[1] (numeric) = 0.097839613283058121849567620401846
absolute error = 6.6222020124652596941222538508266e-20
relative error = 6.7684261928823038469021979258814e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.195
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.804
y[1] (analytic) = 0.09790084915280521177128481941601
y[1] (numeric) = 0.097900849152805211704879423827179
absolute error = 6.6405395588830580527017778330478e-20
relative error = 6.7829233518888050302445882726329e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.194
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.805
y[1] (analytic) = 0.09796214253001927405154278129217
y[1] (numeric) = 0.097962142530019273984953550690323
absolute error = 6.6589230601846214996278151541971e-20
relative error = 6.7974453071441120883738227789423e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.193
Order of pole = 1225
TOP MAIN SOLVE Loop
memory used=209.8MB, alloc=4.5MB, time=31.80
x[1] = 2.806
y[1] (analytic) = 0.098023493486730951780675177981257
y[1] (numeric) = 0.098023493486730951713901651521541
absolute error = 6.6773526459716455213834477660705e-20
relative error = 6.8119921137839593930184150534465e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.192
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.807
y[1] (analytic) = 0.098084902095083700260778329200199
y[1] (numeric) = 0.098084902095083700193820044737678
absolute error = 6.6958284462520661534306699487956e-20
relative error = 6.8265638270822931198697884364788e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.191
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.808
y[1] (analytic) = 0.098146368427333999158296744367184
y[1] (numeric) = 0.098146368427333999091153238452769
absolute error = 6.7143505914414611303392116470766e-20
relative error = 6.8411605024516611418312501339280e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.19
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.809
y[1] (analytic) = 0.098207892555851565055706953933918
y[1] (numeric) = 0.098207892555851564988377761810274
absolute error = 6.7329192123644563095592925679363e-20
relative error = 6.8557821954436041447417614946453e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.189
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.81
y[1] (analytic) = 0.09826947455311956446968878057409
y[1] (numeric) = 0.098269474553119564402173436171529
absolute error = 6.7515344402561373903480517383407e-20
relative error = 6.8704289617490479697920809294529e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.188
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.811
y[1] (analytic) = 0.098331114491734827336954474955606
y[1] (numeric) = 0.098331114491734827269252510887971
absolute error = 6.7701964067634669494539078488125e-20
relative error = 6.8851008571986971868667345182133e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.187
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.812
y[1] (analytic) = 0.098392812444408060968909445552566
y[1] (numeric) = 0.098392812444408060901020393113099
absolute error = 6.7889052439467068152580614040270e-20
relative error = 6.8997979377634299030612126822249e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.186
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.813
y[1] (analytic) = 0.098454568483964064476321627052322
y[1] (numeric) = 0.098454568483964064408245016209514
absolute error = 6.8076610842808458021677526997741e-20
relative error = 6.9145202595546938106397996971272e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.37
Order of pole = 9.293e-59
TOP MAIN SOLVE Loop
x[1] = 2.814
y[1] (analytic) = 0.09851638268334194366517985741921
y[1] (numeric) = 0.098516382683341943596915216812639
absolute error = 6.8264640606570328271517421958311e-20
relative error = 6.9292678788249034787155165726035e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.184
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.815
y[1] (analytic) = 0.098578255115595326404924969625575
y[1] (numeric) = 0.098578255115595326336471826561735
absolute error = 6.8453143063840154304047842165036e-20
relative error = 6.9440408519678388929497972168662e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.183
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.816
y[1] (analytic) = 0.098640185853892578470240650488624
y[1] (numeric) = 0.098640185853892578401598530936728
absolute error = 6.8642119551895837222246233572203e-20
relative error = 6.9588392355190452475857231249736e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.182
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.817
y[1] (analytic) = 0.098702174971517019857594475994595
y[1] (numeric) = 0.098702174971517019788762904582374
absolute error = 6.8831571412220197782822577911121e-20
relative error = 6.9736630861562339941449133705816e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.181
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.818
y[1] (analytic) = 0.098764222541867141577722899986213
y[1] (numeric) = 0.098764222541867141508701399995697
absolute error = 6.9021499990515525055638871506966e-20
relative error = 6.9885124606996851511345047322810e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.18
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.819
y[1] (analytic) = 0.098826328638456822925257351171749
y[1] (numeric) = 0.098826328638456822856045444535031
absolute error = 6.9211906636718180013610971156257e-20
relative error = 7.0033874161126508791270616410806e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.179
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.82
y[1] (analytic) = 0.09888849333491554922669198212096
y[1] (numeric) = 0.098888493334915549157289189415947
absolute error = 6.9402792705013254277844305893044e-20
relative error = 7.0182880095017603255927275891281e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.178
Order of pole = 1225
TOP MAIN SOLVE Loop
memory used=213.6MB, alloc=4.5MB, time=32.38
x[1] = 2.821
y[1] (analytic) = 0.098950716704988630067897013281462
y[1] (numeric) = 0.098950716704988629998302853727613
absolute error = 6.9594159553849284243745587288349e-20
relative error = 7.0332142981174257438794689870514e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.177
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.822
y[1] (analytic) = 0.099012998822537418002385025115637
y[1] (numeric) = 0.099012998822537417932599016569684
absolute error = 6.9786008545953020814847964504646e-20
relative error = 7.0481663393542498907538694954014e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.496
Order of pole = 1.236e-59
TOP MAIN SOLVE Loop
x[1] = 2.823
y[1] (analytic) = 0.099075339761539527741540972259995
y[1] (numeric) = 0.09907533976153952767156263121165
absolute error = 6.9978341048344254972087087253615e-20
relative error = 7.0631441907514347069316078830244e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.175
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.824
y[1] (analytic) = 0.099137739596089055828030125183207
y[1] (numeric) = 0.099137739596089055757858966750856
absolute error = 7.0171158432350699407270283796010e-20
relative error = 7.0781479099931912850434957816354e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.174
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.825
y[1] (analytic) = 0.099200198400396800793601587203174
y[1] (numeric) = 0.099200198400396800723237125129551
absolute error = 7.0364462073622926450490556018962e-20
relative error = 7.0931775549091511294997636126865e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.173
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.826
y[1] (analytic) = 0.099262716248790483802508487954866
y[1] (numeric) = 0.099262716248790483731950234602717
absolute error = 7.0558253352149362522251363398338e-20
relative error = 7.1082331834747787127321637625116e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.172
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.827
y[1] (analytic) = 0.099325293215714969781769418516956
y[1] (numeric) = 0.099325293215714969711016884864685
absolute error = 7.0752533652271339342087236399998e-20
relative error = 7.1233148538117853323104100788139e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.171
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.828
y[1] (analytic) = 0.099387929375732489039499148444221
y[1] (numeric) = 0.099387929375732488968551844081523
absolute error = 7.0947304362698202126489151821536e-20
relative error = 7.1384226241885442734464922614113e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.17
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.829
y[1] (analytic) = 0.099450624803522859372540150952125
y[1] (numeric) = 0.099450624803522859301397584075603
absolute error = 7.1142566876522475009972342082845e-20
relative error = 7.1535565530205072814174930297745e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.169
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.83
y[1] (analytic) = 0.099513379573883708664629959498055
y[1] (numeric) = 0.099513379573883708593291636906819
absolute error = 7.1338322591235083924157822027889e-20
relative error = 7.1687166988706223484546953777605e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.168
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.831
y[1] (analytic) = 0.099576193761730697976342887038476
y[1] (numeric) = 0.099576193761730697904808314129735
absolute error = 7.1534572908740637170777425021111e-20
relative error = 7.1839031204497528196639970819743e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.167
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.832
y[1] (analytic) = 0.099639067442097745128048158351189
y[1] (numeric) = 0.099639067442097745056316839115816
absolute error = 7.1731319235372763925555569761965e-20
relative error = 7.1991158766170978225599502257870e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.166
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.833
y[1] (analytic) = 0.099702000690137248777130036035294
y[1] (numeric) = 0.099702000690137248705201473053385
absolute error = 7.1928562981909510910969355184989e-20
relative error = 7.2143550263806140248131151490701e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.165
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.834
y[1] (analytic) = 0.099764993581120312990719062177136
y[1] (numeric) = 0.099764993581120312918592756613547
absolute error = 7.2126305563588797476941928079424e-20
relative error = 7.2296206288974387248278612485208e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.164
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.835
y[1] (analytic) = 0.099828046190436972315187090237067
y[1] (numeric) = 0.099828046190436972242862541836943
absolute error = 7.2324548400123929329582411804719e-20
relative error = 7.2449127434743142797852617509053e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.163
Order of pole = 1225
TOP MAIN SOLVE Loop
memory used=217.4MB, alloc=4.5MB, time=32.96
x[1] = 2.836
y[1] (analytic) = 0.099891158593596417343662345508334
y[1] (numeric) = 0.099891158593596417271139052592615
absolute error = 7.2523292915719171149149049984843e-20
relative error = 7.2602314295680138758033162789707e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.549
Order of pole = 9.929e-59
TOP MAIN SOLVE Loop
x[1] = 2.837
y[1] (analytic) = 0.099954330866227220782824327564736
y[1] (numeric) = 0.09995433086622722071010178702565
absolute error = 7.2722540539085378339480631759587e-20
relative error = 7.2755767467857686448843940460238e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 0.691
Order of pole = 1.142e-58
TOP MAIN SOLVE Loop
x[1] = 2.838
y[1] (analytic) = 0.10001756308407756402024195448721
y[1] (numeric) = 0.10001756308407756394731966178375
absolute error = 7.2922292703455688152214750616295e-20
relative error = 7.2909487548856961333375221706087e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.16
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.839
y[1] (analytic) = 0.10008085532301546419352194638048
y[1] (numeric) = 0.10008085532301546412039939553388
absolute error = 7.3122550846601270430190032719566e-20
relative error = 7.3063475137772301263809482192132e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.159
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.84
y[1] (analytic) = 0.10014420765902900176253805479891
y[1] (numeric) = 0.10014420765902900168921473838806
absolute error = 7.3323316410847138215513178836686e-20
relative error = 7.3217730835215518336482839859161e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.158
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.841
y[1] (analytic) = 0.10020762016822654858601536523523
y[1] (numeric) = 0.10020762016822654851249077439214
absolute error = 7.3524590843088018468860522399236e-20
relative error = 7.3372255243320224403394890282877e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 0.3294
Order of pole = 2.85e-60
TOP MAIN SOLVE Loop
x[1] = 2.842
y[1] (analytic) = 0.10027109292683699650374753182705
y[1] (numeric) = 0.10027109292683699643002115623224
absolute error = 7.3726375594804283147677841062942e-20
relative error = 7.3527048965746170287759779251844e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.156
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.843
y[1] (analytic) = 0.1003346260112099864257284469434
y[1] (numeric) = 0.10033462601120998635179977482132
absolute error = 7.3928672122077940892041396585362e-20
relative error = 7.3682112607683598751372349323610e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.155
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.844
y[1] (analytic) = 0.10039821949781613792948350336776
y[1] (numeric) = 0.10039821949781613785535202148215
absolute error = 7.4131481885608689568047644333266e-20
relative error = 7.3837446775857611261744940156782e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.154
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.845
y[1] (analytic) = 0.10046187346324727936688927343462
y[1] (numeric) = 0.10046187346324727929255446708389
absolute error = 7.4334806350730029919708775799490e-20
relative error = 7.3993052078532548607152914702752e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.153
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.846
y[1] (analytic) = 0.10052558798421667848177410774493
y[1] (numeric) = 0.10052558798421667840723546075751
absolute error = 7.4538646987425440581446261836910e-20
relative error = 7.4148929125516385407910228201522e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.152
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.847
y[1] (analytic) = 0.10058936313755927353959584602142
y[1] (numeric) = 0.10058936313755927346485284075108
absolute error = 7.4743005270344614704394877733193e-20
relative error = 7.4305078528165138572380357705067e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.151
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.848
y[1] (analytic) = 0.10065319900023190497049653430905
y[1] (numeric) = 0.10065319900023190489554865163023
absolute error = 7.4947882678819758450855340727181e-20
relative error = 7.4461500899387289746412669907998e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.15
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.849
y[1] (analytic) = 0.1007170956493135475270377561198
y[1] (numeric) = 0.10071709564931354745188447542292
absolute error = 7.5153280696881951612364703224834e-20
relative error = 7.4618196853648221805079827774344e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.149
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.85
y[1] (analytic) = 0.10078105316200554295792391030486
y[1] (numeric) = 0.10078105316200554288256470949159
absolute error = 7.5359200813277570607990048074776e-20
relative error = 7.4775167006974669435778125202197e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.148
Order of pole = 1225
TOP MAIN SOLVE Loop
memory used=221.2MB, alloc=4.5MB, time=33.54
x[1] = 2.851
y[1] (analytic) = 0.10084507161563183319902450545325
y[1] (numeric) = 0.10084507161563183312345886093176
absolute error = 7.5565644521484774120592853223143e-20
relative error = 7.4932411976959183861939697172419e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.147
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.852
y[1] (analytic) = 0.10090915108763919408301028950432
y[1] (numeric) = 0.10090915108763919400723767618459
absolute error = 7.5772613319730051629958659445275e-20
relative error = 7.5089932382764611756793383907136e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.146
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.853
y[1] (analytic) = 0.10097329165559746956892179406517
y[1] (numeric) = 0.10097329165559746949294168535417
absolute error = 7.5980108711004835102839414357492e-20
relative error = 7.5247728845128588396799634958558e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.145
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.854
y[1] (analytic) = 0.10103749339719980649299264568293
y[1] (numeric) = 0.10103749339719980641680451347985
absolute error = 7.6188132203082174101114106405283e-20
relative error = 7.5405801986368045104574226315071e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.144
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.855
y[1] (analytic) = 0.10110175639026288984205378107931
y[1] (numeric) = 0.10110175639026288976565709577078
absolute error = 7.6396685308533474570437072014931e-20
relative error = 7.5564152430383731031305734022648e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.143
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.856
y[1] (analytic) = 0.10116608071272717855084850015215
y[1] (numeric) = 0.10116608071272717847424273060741
absolute error = 7.6605769544745301572912685745800e-20
relative error = 7.5722780802664749328862664964820e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.142
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.857
y[1] (analytic) = 0.10123046644265714182459209942775
y[1] (numeric) = 0.10123046644265714174777671299382
absolute error = 7.6815386433936246228510055404463e-20
relative error = 7.5881687730293107761977892830016e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.141
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.858
y[1] (analytic) = 0.10129491365824149598811364965169
y[1] (numeric) = 0.10129491365824149591108811214851
absolute error = 7.7025537503173857131111870147175e-20
relative error = 7.6040873841948283811090588443962e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.14
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.859
y[1] (analytic) = 0.10135942243779344186292131437628
y[1] (numeric) = 0.10135942243779344178568509009189
absolute error = 7.7236224284391636506277718225765e-20
relative error = 7.6200339767911804316619172096693e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.139
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.86
y[1] (analytic) = 0.10142399285975090267353645178303
y[1] (numeric) = 0.10142399285975090259608900346863
absolute error = 7.7447448314406101378994031000721e-20
relative error = 7.6360086140071839715632954805471e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.138
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.861
y[1] (analytic) = 0.10148862500267676248444559961053
y[1] (numeric) = 0.10148862500267676240678638847559
absolute error = 7.7659211134933910020880350087015e-20
relative error = 7.6520113591927812922085079199974e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.137
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.862
y[1] (analytic) = 0.10155331894525910516902331298611
y[1] (numeric) = 0.1015533189452591050911517986935
absolute error = 7.7871514292609053947524884102790e-20
relative error = 7.6680422758595022901965122485507e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.136
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.863
y[1] (analytic) = 0.10161807476631145391178270722542
y[1] (numeric) = 0.10161807476631145383369834788642
absolute error = 7.8084359339000115737831349706080e-20
relative error = 7.6841014276809282994926287341575e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.135
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.864
y[1] (analytic) = 0.10168289254477301124531445231154
y[1] (numeric) = 0.10168289254477301116701670448091
absolute error = 7.8297747830627592948473907836407e-20
relative error = 7.7001888784931574034139485272152e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.134
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.865
y[1] (analytic) = 0.10174777235970889962327887283818
y[1] (numeric) = 0.1017477723597088995447671915092
absolute error = 7.8511681328981288397777639892303e-20
relative error = 7.7163046922952712316324814483053e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.133
Order of pole = 1225
memory used=225.0MB, alloc=4.5MB, time=34.12
TOP MAIN SOLVE Loop
x[1] = 2.866
y[1] (analytic) = 0.10181271429031040253081972674282
y[1] (numeric) = 0.10181271429031040245209356534228
absolute error = 7.8726161400537767094568489698909e-20
relative error = 7.7324489332498032474109954480914e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.132
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.867
y[1] (analytic) = 0.10187771841589520613377216820949
y[1] (numeric) = 0.10187771841589520605483097859271
absolute error = 7.8941189616777880088768955439650e-20
relative error = 7.7486216656832085303064845945046e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.131
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.868
y[1] (analytic) = 0.10194278481590764146804134473135
y[1] (numeric) = 0.10194278481590764138888457717715
absolute error = 7.9156767554204355521754081292603e-20
relative error = 7.7648229540863350595962700712961e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.13
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.869
y[1] (analytic) = 0.10200791356991892717053203553425
y[1] (numeric) = 0.10200791356991892709115913873989
absolute error = 7.9372896794359457155726501539321e-20
relative error = 7.7810528631148965037018896655671e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.129
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.87
y[1] (analytic) = 0.10207310475762741275301370841797
y[1] (numeric) = 0.10207310475762741267342412949413
absolute error = 7.9589578923842710662619460778927e-20
relative error = 7.7973114575899465209061659530507e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.128
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.871
y[1] (analytic) = 0.10213835845885882242030935461733
y[1] (numeric) = 0.102138358458858822340502539083
absolute error = 7.9806815534328697954292903126502e-20
relative error = 7.8135988024983545766791622335936e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.127
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.872
y[1] (analytic) = 0.10220367475356649943420045656426
y[1] (numeric) = 0.10220367475356649935417584834167
absolute error = 8.0024608222584919837049921610898e-20
relative error = 7.8299149629932832829491386021093e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.126
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.873
y[1] (analytic) = 0.10226905372183165102444445148965
y[1] (numeric) = 0.10226905372183165094420149289916
absolute error = 8.0242958590489727274769117289523e-20
relative error = 7.8462600043946672646751087407308e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.125
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.874
y[1] (analytic) = 0.10233449544386359384830507468576
y[1] (numeric) = 0.10233449544386359376784320644071
absolute error = 8.0461868245050321546222766910358e-20
relative error = 7.8626339921896935590981714662492e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.124
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.875
y[1] (analytic) = 0.1024
y[1] (numeric) = 0.10239999999999999991931866120158
absolute error = 8.0681338798420823583431169487864e-20
relative error = 7.8790369920332835530694501452992e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.123
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.876
y[1] (analytic) = 0.10246556747070714357147424179579
y[1] (numeric) = 0.10246556747070714349057286992787
absolute error = 8.0901371867920412779190167302645e-20
relative error = 7.8954690697485764638732181820942e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.122
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.877
y[1] (analytic) = 0.10253119793658014776591184224058
y[1] (numeric) = 0.10253119793658014768478987316453
absolute error = 8.1121969076051535553201647139063e-20
relative error = 7.9119302913274143689846202755976e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.121
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.878
y[1] (analytic) = 0.1025968914783432325654024404107
y[1] (numeric) = 0.10259689147834323248405930836018
absolute error = 8.1343132050518183967535854766545e-20
relative error = 7.9284207229308287902223174225036e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.12
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.879
y[1] (analytic) = 0.10266264817684996295418340538369
y[1] (numeric) = 0.10266264817684996287261854295945
absolute error = 8.1564862424244244683459631648334e-20
relative error = 7.9449404308895288377773890987866e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.119
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.88
y[1] (analytic) = 0.10272846811308349769888231426693
y[1] (numeric) = 0.10272846811308349761709515243154
absolute error = 8.1787161835391918552976239698908e-20
relative error = 7.9614894817043909196209190772505e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.118
Order of pole = 1225
memory used=228.8MB, alloc=4.5MB, time=34.70
TOP MAIN SOLVE Loop
x[1] = 2.881
y[1] (analytic) = 0.10279435136815683868718866803294
y[1] (numeric) = 0.10279435136815683860517863610556
absolute error = 8.2010031927380211139740309856464e-20
relative error = 7.9780679420469500218138723247356e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.117
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.882
y[1] (analytic) = 0.10286029802331308082638786314314
y[1] (numeric) = 0.10286029802331308074415438879424
absolute error = 8.2233474348903494465335665713583e-20
relative error = 7.9946758787598925652641397655686e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.116
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.883
y[1] (analytic) = 0.10292630815992566250319457528951
y[1] (numeric) = 0.10292630815992566242073708453556
absolute error = 8.2457490753950140278234367058763e-20
relative error = 8.0113133588575508444969857945479e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.115
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.884
y[1] (analytic) = 0.10299238185949861660632686321458
y[1] (numeric) = 0.10299238185949861652364478041276
absolute error = 8.2682082801821225144092322702717e-20
relative error = 8.0279804495263990540265806721983e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.114
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.885
y[1] (analytic) = 0.10305851920366682211326646553079
y[1] (numeric) = 0.10305851920366682203035921337364
absolute error = 8.2907252157149307657380270354576e-20
relative error = 8.0446772181255509079378367381128e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.113
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.886
y[1] (analytic) = 0.10312472027419625624265494179847
y[1] (numeric) = 0.10312472027419625615952194130855
absolute error = 8.3133000489917278075698846712400e-20
relative error = 8.0614037321872588583093941377476e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.219
Order of pole = 9.222e-59
TOP MAIN SOLVE Loop
x[1] = 2.887
y[1] (analytic) = 0.10319098515298424717377950088378
y[1] (numeric) = 0.1031909851529842470904201714083
absolute error = 8.3359329475477280679482906659109e-20
relative error = 8.0781600594174149181303188788199e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.111
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.888
y[1] (analytic) = 0.1032573139220597273346065648522
y[1] (numeric) = 0.10325731392205972725102032405763
absolute error = 8.3586240794569709161163230010594e-20
relative error = 8.0949462676960530943848839221972e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.11
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.889
y[1] (analytic) = 0.10332370666358348725982533540683
y[1] (numeric) = 0.10332370666358348717601159927349
absolute error = 8.3813736133342275349223311332078e-20
relative error = 8.1117624250778534370017030775479e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.109
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.89
y[1] (analytic) = 0.10339016345984843002036786220159
y[1] (numeric) = 0.10339016345984842993632604501822
absolute error = 8.4041817183369151573965096790727e-20
relative error = 8.1286085997926477093854781266959e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.108
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.891
y[1] (analytic) = 0.10345668439327982622587635829574
y[1] (numeric) = 0.10345668439327982614160587265407
absolute error = 8.4270485641670186983180345901585e-20
relative error = 8.1454848602459266862717022502356e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.107
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.892
y[1] (analytic) = 0.10352326954643556960159276761593
y[1] (numeric) = 0.1035232695464355695170930244052
absolute error = 8.4499743210730198117313789590746e-20
relative error = 8.1623912750193490846668379001331e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.106
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.893
y[1] (analytic) = 0.10358991900200643314114986260351
y[1] (numeric) = 0.10358991900200643305642027100499
absolute error = 8.4729591598518334055100463672769e-20
relative error = 8.1793279128712521336587551594143e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.105
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.894
y[1] (analytic) = 0.10365663284281632583674743729707
y[1] (numeric) = 0.10365663284281632575178740477856
absolute error = 8.4960032518507516442062553235514e-20
relative error = 8.1962948427371637889045777782557e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.104
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.895
y[1] (analytic) = 0.10372341115182254998820146198148
y[1] (numeric) = 0.10372341115182254990301039429179
absolute error = 8.5191067689693954715660823351502e-20
relative error = 8.2132921337303165976255388945242e-17 %
Correct digits = 18
h = 0.001
memory used=232.7MB, alloc=4.5MB, time=35.28
Real estimate of pole used for equation 1
Radius of convergence = 3.103
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.896
y[1] (analytic) = 0.10379025401211605909235838027421
y[1] (numeric) = 0.10379025401211605900693568143759
absolute error = 8.5422698836616736842312269987943e-20
relative error = 8.2303198551421632199609973587615e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.102
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.897
y[1] (analytic) = 0.10385716150692171631437105816635
y[1] (numeric) = 0.10385716150692171622871613047697
absolute error = 8.5654927689377495882909037157138e-20
relative error = 8.2473780764428936125564090135255e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.101
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.898
y[1] (analytic) = 0.10392413371959855354233723713949
y[1] (numeric) = 0.10392413371959855345644948115583
absolute error = 8.5887755983660152704903947617302e-20
relative error = 8.2644668672819538802827856516852e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.1
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.899
y[1] (analytic) = 0.10399117073364003102680570008884
y[1] (numeric) = 0.10399117073364003094068451462809
absolute error = 8.6121185460750735160465220377500e-20
relative error = 8.2815862974885668020080081265934e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.099
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.9
y[1] (analytic) = 0.10405827263267429760665972944849
y[1] (numeric) = 0.10405827263267429752030451158093
absolute error = 8.6355217867557274051647134651095e-20
relative error = 8.2987364370722540363632896399703e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.098
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.901
y[1] (analytic) = 0.10412543950046445152289182168602
y[1] (numeric) = 0.10412543950046445143630196672939
absolute error = 8.6589854956629776204974582708007e-20
relative error = 8.3159173562233600134711110238574e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.097
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.902
y[1] (analytic) = 0.10419267142090880182178802126031
y[1] (numeric) = 0.10419267142090880173496292277413
absolute error = 8.6825098486180274979297669462873e-20
relative error = 8.3331291253135775186240722962754e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.096
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.903
y[1] (analytic) = 0.10425996847804113034904465026984
y[1] (numeric) = 0.10425996847804113026198370004974
absolute error = 8.7060950220102958532237800968327e-20
relative error = 8.3503718148964749739273243434782e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.009
Order of pole = 8.986e-59
TOP MAIN SOLVE Loop
x[1] = 2.904
y[1] (analytic) = 0.10432733075603095433634463740828
y[1] (numeric) = 0.10432733075603095424904722548028
absolute error = 8.7297411927994376172019093824243e-20
relative error = 8.3676454957080254239405617042963e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.094
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.905
y[1] (analytic) = 0.10439475833918378958192509154115
y[1] (numeric) = 0.10439475833918378949439060615598
absolute error = 8.7534485385173723122958469630265e-20
relative error = 8.3849502386671372313789725455005e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.093
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.906
y[1] (analytic) = 0.10446225131194141422667222127278
y[1] (numeric) = 0.10446225131194141413890004890007
absolute error = 8.7772172372703204034374509967660e-20
relative error = 8.4022861148761864889560554650077e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.092
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.907
y[1] (analytic) = 0.10452980975888213312728417233662
y[1] (numeric) = 0.10452980975888213303927369765922
absolute error = 8.8010474677408475564169075168317e-20
relative error = 8.4196531956215511534748251878990e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.091
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.908
y[1] (analytic) = 0.10459743376472104282804683956762
y[1] (numeric) = 0.10459743376472104273979744547572
absolute error = 8.8249394091899168369836871688926e-20
relative error = 8.4370515523741469082976409765460e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.09
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.909
y[1] (analytic) = 0.10466512341431029713277220965136
y[1] (numeric) = 0.10466512341431029704428327723677
absolute error = 8.8488932414589488841166625838117e-20
relative error = 8.4544812567899647603487031107923e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.089
Order of pole = 1225
TOP MAIN SOLVE Loop
memory used=236.5MB, alloc=4.6MB, time=35.86
x[1] = 2.91
y[1] (analytic) = 0.10473287879263937327845330484599
y[1] (numeric) = 0.10473287879263937318972421339627
absolute error = 8.8729091449718900910413323691623e-20
relative error = 8.4719423807106103778271745593998e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.088
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.911
y[1] (analytic) = 0.10480069998483533871219432648835
y[1] (numeric) = 0.10480069998483533862322445348097
absolute error = 8.8969873007372888277244146271605e-20
relative error = 8.4894349961638451748328974143610e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.087
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.912
y[1] (analytic) = 0.10486858707616311847297914037961
y[1] (numeric) = 0.1048685870761631183837678614761
absolute error = 8.9211278903503797387291303666590e-20
relative error = 8.5069591753641291491307872519086e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.086
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.913
y[1] (analytic) = 0.10493654015202576317984580414917
y[1] (numeric) = 0.10493654015202576309039249318922
absolute error = 8.9453310959951761504682990144251e-20
relative error = 8.5245149907131654793042037770596e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.085
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.914
y[1] (analytic) = 0.10500455929796471762803940947116
y[1] (numeric) = 0.10500455929796471753834343846669
absolute error = 8.9695971004465706220469183088384e-20
relative error = 8.5421025148004468875719133634718e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.084
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.915
y[1] (analytic) = 0.10507264459966008999472009960887
y[1] (numeric) = 0.10507264459966008990478083873814
absolute error = 8.9939260870724436740412030614899e-20
relative error = 8.5597218204038037745676788806888e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.083
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.916
y[1] (analytic) = 0.10514079614293092165580772524102
y[1] (numeric) = 0.10514079614293092156562454284267
absolute error = 9.0183182398357807297171155044763e-20
relative error = 8.5773729804899541324060349721543e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.082
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.917
y[1] (analytic) = 0.10520901401373545761554921893354
y[1] (numeric) = 0.10520901401373545752512148150057
absolute error = 9.0427737432967973033482381305395e-20
relative error = 8.5950560682150552423824331776345e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.081
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.918
y[1] (analytic) = 0.10527729829817141755039940101428
y[1] (numeric) = 0.10527729829817141745972647318813
absolute error = 9.0672927826150724704504220283683e-20
relative error = 8.6127711569252571636806714530991e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.08
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.919
y[1] (analytic) = 0.10534564908247626746881057704027
y[1] (numeric) = 0.10534564908247626737789182160476
absolute error = 9.0918755435516906549089936869286e-20
relative error = 8.6305183201572580194853572021785e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.079
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.92
y[1] (analytic) = 0.10541406645302749198853094956991
y[1] (numeric) = 0.1054140664530274918973657274452
absolute error = 9.1165222124713917681334250831186e-20
relative error = 8.6482976316388610869220923708497e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.078
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.921
y[1] (analytic) = 0.1054825504963428672330165446216
y[1] (numeric) = 0.10548255049634286714160421485815
absolute error = 9.1412329763447297355342695909391e-20
relative error = 8.6661091652895336972731139481074e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.077
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.922
y[1] (analytic) = 0.10555110129908073434856604606841
y[1] (numeric) = 0.10555110129908073425690596584091
absolute error = 9.1660080227502394457778438944721e-20
relative error = 8.6839529952209679529412738395116e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.076
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.923
y[1] (analytic) = 0.10561971894804027364379263934066
y[1] (numeric) = 0.1056197189480402735518841639419
absolute error = 9.1908475398766121584355977103694e-20
relative error = 8.7018291957376432676604990194340e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.075
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.924
y[1] (analytic) = 0.10568840353016177935305168923889
y[1] (numeric) = 0.10568840353016177926089417207364
absolute error = 9.2157517165248794058073628097966e-20
relative error = 8.7197378413373907364762366057026e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.074
Order of pole = 1225
TOP MAIN SOLVE Loop
memory used=240.3MB, alloc=4.6MB, time=36.44
x[1] = 2.925
y[1] (analytic) = 0.10575715513252693502544781545376
y[1] (numeric) = 0.10575715513252693493304060803266
absolute error = 9.2407207421106054248607146789826e-20
relative error = 8.7376790067119593420448595236455e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.073
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.926
y[1] (analytic) = 0.1058259738423590895410496836015
y[1] (numeric) = 0.10582597384235908944839213553484
absolute error = 9.2657548066660881553925182985233e-20
relative error = 8.7556527667475840038265872241456e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.072
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.927
y[1] (analytic) = 0.10589485974702353375594559926907
y[1] (numeric) = 0.10589485974702353366303705826065
absolute error = 9.2908541008425688406833681040793e-20
relative error = 8.7736591965255554767721629834927e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.071
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.928
y[1] (analytic) = 0.10596381293402777777777777777778
y[1] (numeric) = 0.10596381293402777768461758961865
absolute error = 9.3160188159124502670810753877505e-20
relative error = 8.7916983713227921061293251352073e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.07
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.929
y[1] (analytic) = 0.10603283349102182887339796317289
y[1] (numeric) = 0.10603283349102182877998547173517
absolute error = 9.3412491437715236791156084060104e-20
relative error = 8.8097703666124134450210146617029e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.246
Order of pole = 1.549e-58
TOP MAIN SOLVE Loop
x[1] = 2.93
y[1] (analytic) = 0.10610192150579847001029188638606
y[1] (numeric) = 0.10610192150579846991662643361665
absolute error = 9.3665452769412044069149554956768e-20
relative error = 8.8278752580643157414732764051205e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.068
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.931
y[1] (analytic) = 0.10617107706629353903342488465309
y[1] (numeric) = 0.10617107706629353893950581056738
absolute error = 9.3919074085707762428592638064285e-20
relative error = 8.8460131215457493015969362428701e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.067
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.932
y[1] (analytic) = 0.1062403002605862084791658521577
y[1] (numeric) = 0.1062403002605862083849924948333
absolute error = 9.4173357324396446045793101028073e-20
relative error = 8.8641840331218977356533724177126e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.066
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.933
y[1] (analytic) = 0.10630959117689926602795155556978
y[1] (numeric) = 0.10630959117689926593352325114018
absolute error = 9.4428304429595985215748897601159e-20
relative error = 8.8823880690564590937610463204742e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.065
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.934
y[1] (analytic) = 0.10637894990359939559735822770967
y[1] (numeric) = 0.1063789499035993955026743103579
absolute error = 9.4683917351770814828990698905620e-20
relative error = 8.9006253058122288980259169040164e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.064
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.935
y[1] (analytic) = 0.10644837652919745907725224805665
y[1] (numeric) = 0.1064483765291974589823120500089
absolute error = 9.4940198047754711835254468258003e-20
relative error = 8.9188958200516850779054340707104e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.063
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.936
y[1] (analytic) = 0.10651787114234877870869663028584
y[1] (numeric) = 0.10651787114234877861349948180507
absolute error = 9.5197148480773682071875813111552e-20
relative error = 8.9371996886375748156424903356930e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.062
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.937
y[1] (analytic) = 0.10658743383185342010829496452184
y[1] (numeric) = 0.10658743383185342001284019390137
absolute error = 9.5454770620468936836526611209683e-20
relative error = 8.9555369886335033086325073404430e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.061
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.938
y[1] (analytic) = 0.10665706468665647593965940559591
y[1] (numeric) = 0.10665706468665647584394633915299
absolute error = 9.5713066442919959585651647937765e-20
relative error = 8.9739077973045244556137448940741e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.06
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.939
y[1] (analytic) = 0.10672676379584835023369425834558
y[1] (numeric) = 0.10672676379584835013772222041491
absolute error = 9.5972037930667663141708762449703e-20
relative error = 8.9923121921177334735979456740900e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.059
Order of pole = 1225
TOP MAIN SOLVE Loop
memory used=244.1MB, alloc=4.6MB, time=37.02
x[1] = 2.94
y[1] (analytic) = 0.10679653124866504335939168695801
y[1] (numeric) = 0.10679653124866504326315999988527
absolute error = 9.6231687072737637794070326024599e-20
relative error = 9.0107502507428614524855690476394e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 1.075
Order of pole = 3.065e-59
TOP MAIN SOLVE Loop
x[1] = 2.941
y[1] (analytic) = 0.10686636713448843764684106759073
y[1] (numeric) = 0.10686636713448843755034905172607
absolute error = 9.6492015864663490680206812117233e-20
relative error = 9.0292220510528718543371232045758e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.057
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.942
y[1] (analytic) = 0.10693627154284658366415851206305
y[1] (numeric) = 0.10693627154284658356740548575454
absolute error = 9.6753026308510276835544808794338e-20
relative error = 9.0477276711245589642994764534626e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.056
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.943
y[1] (analytic) = 0.10700624456341398715004811535787
y[1] (numeric) = 0.10700624456341398705303339494497
absolute error = 9.7014720412898022302172116037525e-20
relative error = 9.0662671892391483002135166522757e-17 %
Correct digits = 18
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.538
Order of pole = 1.233e-58
TOP MAIN SOLVE Loop
x[1] = 2.944
y[1] (analytic) = 0.10707628628601189660371152106576
y[1] (numeric) = 0.10707628628601189650643442087273
absolute error = 9.7277100193025339688351608336628e-20
relative error = 9.0848406838828989879571328607450e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.054
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.945
y[1] (analytic) = 0.10714639680060859153382745679991
y[1] (numeric) = 0.10714639680060859143628728912922
absolute error = 9.7540167670693136572603372941559e-20
relative error = 9.1034482337477081096052159474789e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.053
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.946
y[1] (analytic) = 0.10721657619731967136832796607153
y[1] (numeric) = 0.1072165761973196712705240411972
absolute error = 9.7803924874328417147921302189199e-20
relative error = 9.1220899177317170315162156012928e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.052
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.947
y[1] (analytic) = 0.10728682456640834502670315420046
y[1] (numeric) = 0.10728682456640834492863478036145
absolute error = 9.8068373839008177503505870834142e-20
relative error = 9.1407658149399197194827505242371e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.051
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.948
y[1] (analytic) = 0.10735714199828572115657137360457
y[1] (numeric) = 0.10735714199828572105823785699809
absolute error = 9.8333516606483394943219312906396e-20
relative error = 9.1594760046847730481118470680646e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.05
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.949
y[1] (analytic) = 0.10742752858351109903625689832446
y[1] (numeric) = 0.10742752858351109893765754309926
absolute error = 9.8599355225203111741802874173634e-20
relative error = 9.1782205664868091116285797633557e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.049
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.95
y[1] (analytic) = 0.10749798441279226014512227895727
y[1] (numeric) = 0.10749798441279226004625638720693
absolute error = 9.8865891750338613741738302939852e-20
relative error = 9.1969995800752495433252056309797e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.048
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.951
y[1] (analytic) = 0.107568509576985760403407727356
y[1] (numeric) = 0.10756850957698576030427459911219
absolute error = 9.9133128243807704195487301069191e-20
relative error = 9.2158131253886218509063234114693e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.047
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.952
y[1] (analytic) = 0.107639104167097223083335055559
y[1] (numeric) = 0.1076391041670972229839339887847
absolute error = 9.9401066774299073259703336450510e-20
relative error = 9.2346612825753777750091494543952e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.046
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.953
y[1] (analytic) = 0.10770976827428163239323888550979
y[1] (numeric) = 0.1077097682742816322935691760925
absolute error = 9.9669709417296763549880065548570e-20
relative error = 9.2535441319945136782066845348662e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.045
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.954
y[1] (analytic) = 0.10778050198984362773649305527113
y[1] (numeric) = 0.10778050198984362763655399701603
absolute error = 9.9939058255104732165779678422869e-20
relative error = 9.2724617542161929718303508685008e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.044
Order of pole = 1225
TOP MAIN SOLVE Loop
memory used=247.9MB, alloc=4.6MB, time=37.60
x[1] = 2.955
y[1] (analytic) = 0.10785130540523779864700537369129
y[1] (numeric) = 0.10785130540523779854679625831442
absolute error = 1.0020911537687150959987280710570e-19
relative error = 9.2914142300223705879776066430426e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.043
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.956
y[1] (analytic) = 0.10792217861206898040305911890607
y[1] (numeric) = 0.10792217861206898030257923602745
absolute error = 1.0047988287861495594291928025870e-19
relative error = 9.3104016404074195040990970404322e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.042
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.957
y[1] (analytic) = 0.10799312170209255032128493671981
y[1] (numeric) = 0.10799312170209255022053357385656
absolute error = 1.0075136286324711480272601158595e-19
relative error = 9.3294240665787593275890765565816e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.041
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.958
y[1] (analytic) = 0.10806413476721472473255207286462
y[1] (numeric) = 0.10806413476721472463152851542402
absolute error = 1.0102355744059916535403472586009e-19
relative error = 9.3484815899574869478321380091399e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.04
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.959
y[1] (analytic) = 0.10813521789949285664157316845164
y[1] (numeric) = 0.10813521789949285654027669972419
absolute error = 1.0129646872744647293941810417988e-19
relative error = 9.3675742921790092631887095308030e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.039
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.96
y[1] (analytic) = 0.10820637119113573407202216066482
y[1] (numeric) = 0.10820637119113573397045206181729
absolute error = 1.0157009884753373864299831906451e-19
relative error = 9.3867022550936779904313326546655e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.038
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.961
y[1] (analytic) = 0.10827759473450387909897016096872
y[1] (numeric) = 0.10827759473450387899712571103712
absolute error = 1.0184444993160024826074688032282e-19
relative error = 9.4058655607674265641734128890588e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.037
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.962
y[1] (analytic) = 0.10834888862210984757044953087098
y[1] (numeric) = 0.10834888862210984746833000675358
absolute error = 1.0211952411740522109307927471505e-19
relative error = 9.4250642914824091338619395354320e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.036
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.963
y[1] (analytic) = 0.10842025294661852951996174066114
y[1] (numeric) = 0.10842025294661852941756641711139
absolute error = 1.0239532354975325898742210693490e-19
relative error = 9.4442985297376416659356045101803e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.035
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.964
y[1] (analytic) = 0.10849168780084745027174997960356
y[1] (numeric) = 0.10849168780084745016907812922304
absolute error = 1.0267185038051989606040438734812e-19
relative error = 9.4635683582496451587798111788628e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.034
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.965
y[1] (analytic) = 0.10856319327776707224066288685815
y[1] (numeric) = 0.10856319327776707213771378008948
absolute error = 1.0294910676867724953130831448417e-19
relative error = 9.4828738599530909781402542908445e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.033
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.966
y[1] (analytic) = 0.10863476947050109742844119100209
y[1] (numeric) = 0.10863476947050109732521409612177
absolute error = 1.0322709488031977210040841903006e-19
relative error = 9.5022151180014483206870716088507e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.032
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.967
y[1] (analytic) = 0.10870641647232677061826448249386
y[1] (numeric) = 0.10870641647232677051475866560517
absolute error = 1.0350581688869010630783132285124e-19
relative error = 9.5215922157676338134520173589629e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.031
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.968
y[1] (analytic) = 0.10877813437667518326940079782235
y[1] (numeric) = 0.10877813437667518316561552284814
absolute error = 1.0378527497420504131058167348340e-19
relative error = 9.5410052368446632568916877829307e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.03
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.969
y[1] (analytic) = 0.10884992327713157811380716648302
y[1] (numeric) = 0.10884992327713157800974169515854
absolute error = 1.0406547132448157251740309401529e-19
relative error = 9.5604542650463055193605404599776e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.029
Order of pole = 1225
memory used=251.7MB, alloc=4.6MB, time=38.18
TOP MAIN SOLVE Loop
x[1] = 2.97
y[1] (analytic) = 0.10892178326743565445653476238713
y[1] (numeric) = 0.10892178326743565435218835425277
absolute error = 1.0434640813436306452317629302377e-19
relative error = 9.5799393844077385908082922862189e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.028
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.971
y[1] (analytic) = 0.1089937144414818741817978099021
y[1] (numeric) = 0.10899371444148187407716972229616
absolute error = 1.0462808760594551778659986223250e-19
relative error = 9.5994606791862078035472566660507e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.027
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.972
y[1] (analytic) = 0.10906571689331976846657092150933
y[1] (numeric) = 0.10906571689331976836166040956073
absolute error = 1.0491051194860393949695280414607e-19
relative error = 9.6190182338616862279662891940960e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.026
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.973
y[1] (analytic) = 0.10913779071715424520358508911483
y[1] (numeric) = 0.10913779071715424509839140573581
absolute error = 1.0519368337901881907780153166428e-19
relative error = 9.6386121331375372510992535042471e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.025
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.974
y[1] (analytic) = 0.10920993600734589713559811442493
y[1] (numeric) = 0.10920993600734589703012051030373
absolute error = 1.0547760412120270877758802050871e-19
relative error = 9.6582424619411793459872956527959e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.024
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.975
y[1] (analytic) = 0.10928215285841131070282084557066
y[1] (numeric) = 0.10928215285841131059705856916413
absolute error = 1.0576227640652690979912002740198e-19
relative error = 9.6779093054247530398057270074525e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.023
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.976
y[1] (analytic) = 0.10935444136502337560538618739677
y[1] (numeric) = 0.10935444136502337549933848492302
absolute error = 1.0604770247374826442207886684034e-19
relative error = 9.6976127489657900887579627581538e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.022
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.977
y[1] (analytic) = 0.10942680162201159508275347159264
y[1] (numeric) = 0.1094268016220115949764195870236
absolute error = 1.0633388456903605457476522180983e-19
relative error = 9.7173528781678848677707464770055e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.021
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.978
y[1] (analytic) = 0.10949923372436239691194641019902
y[1] (numeric) = 0.10949923372436239680532558525302
absolute error = 1.0662082494599900731341890404223e-19
relative error = 9.7371297788613679830568112646318e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.02
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.979
y[1] (analytic) = 0.10957173776721944512652851204539
y[1] (numeric) = 0.10957173776721944501961998617967
absolute error = 1.0690852586571240766957443282585e-19
relative error = 9.7569435371039821156431855629362e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.019
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.98
y[1] (analytic) = 0.10964431384588395245822551642472
y[1] (numeric) = 0.10964431384588395235102852682797
absolute error = 1.0719698959674531932805082372749e-19
relative error = 9.7767942391815601039955473272418e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.018
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.981
y[1] (analytic) = 0.10971696205581499350311009186492
y[1] (numeric) = 0.10971696205581499339562387344973
absolute error = 1.0748621841518791360032112590894e-19
relative error = 9.7966819716087052739013645746057e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.017
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.982
y[1] (analytic) = 0.10978968249262981861426976027642
y[1] (numeric) = 0.10978968249262981850649354567175
absolute error = 1.0777621460467890716016507541436e-19
relative error = 9.8166068211294740238070340035842e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.016
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.983
y[1] (analytic) = 0.10986247525210416852288473811368
y[1] (numeric) = 0.10986247525210416841481775765724
absolute error = 1.0806698045643310901067679855997e-19
relative error = 9.8365688747180606738368430608766e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.015
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.984
y[1] (analytic) = 0.10993534043017258968964813655201
y[1] (numeric) = 0.10993534043017258958128961828274
absolute error = 1.0835851826926907715387886139435e-19
relative error = 9.8565682195794845867543351623149e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.014
Order of pole = 1225
memory used=255.5MB, alloc=4.6MB, time=38.76
TOP MAIN SOLVE Loop
x[1] = 2.985
y[1] (analytic) = 0.11000827812292875038846673212159
y[1] (numeric) = 0.11000827812292875027981590177196
absolute error = 1.0865083034963688543638417545285e-19
relative error = 9.8766049431502795691595534130588e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.013
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.986
y[1] (analytic) = 0.11008128842662575752438630782515
y[1] (numeric) = 0.1100812884266257574154423888135
absolute error = 1.0894391901164600104674839436879e-19
relative error = 9.8966791330991855612486757713142e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.012
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.987
y[1] (analytic) = 0.11015437143767647418769137256643
y[1] (numeric) = 0.11015437143767647407845358598934
absolute error = 1.0923778657709327314236752831336e-19
relative error = 9.9167908773278426234957348214093e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.011
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.988
y[1] (analytic) = 0.11022752725265383794613489380239
y[1] (numeric) = 0.1102275272526538378366024584269
absolute error = 1.0953243537549103308599862203359e-19
relative error = 9.9369402639714872286494388289034e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.01
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.989
y[1] (analytic) = 0.1103007559682911798772595247736
y[1] (numeric) = 0.11030075596829117976743165702951
absolute error = 1.0982786774409530677421554608811e-19
relative error = 9.9571273813996508674715782091586e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.009
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.99
y[1] (analytic) = 0.11037405768148254434277767353561
y[1] (numeric) = 0.11037405768148254423265358750768
absolute error = 1.1012408602793413954235729872048e-19
relative error = 9.9773523182168609766771136213740e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.008
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.991
y[1] (analytic) = 0.11044743248928300950698364638001
y[1] (numeric) = 0.11044743248928300939656255380018
absolute error = 1.1042109257983603413278276697232e-19
relative error = 9.9976151632633441975697992757151e-17 %
Correct digits = 18
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.007
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.992
y[1] (analytic) = 0.11052088048890900860117700316885
y[1] (numeric) = 0.1105208804889090084904581134084
absolute error = 1.1071888976045850221551370976673e-19
relative error = 1.0017916005615731973901098388468e-16 %
Correct digits = 17
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.006
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.993
y[1] (analytic) = 0.11059440177773865193608218668136
y[1] (numeric) = 0.11059440177773865182506470674304
absolute error = 1.1101747993831672995262686277298e-19
relative error = 1.0038254934587768497514197719096e-16 %
Correct digits = 17
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.005
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.994
y[1] (analytic) = 0.11066799645331204966425543235994
y[1] (numeric) = 0.11066799645331204955293856687013
absolute error = 1.1131686548981235810004658521789e-19
relative error = 1.0058632039731021010369125457059e-16 %
Correct digits = 17
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.004
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.995
y[1] (analytic) = 0.11074166461333163529447592891493
y[1] (numeric) = 0.11074166461333163518285888011566
absolute error = 1.1161704879926237714269143310271e-19
relative error = 1.0079047410835592471579322082033e-16 %
Correct digits = 17
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.003
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.996
y[1] (analytic) = 0.11081540635566248996012418417698
y[1] (numeric) = 0.11081540635566248984820615191805
absolute error = 1.1191803225892813796124151252630e-19
relative error = 1.0099501137930836598124507889016e-16 %
Correct digits = 17
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3.002
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.997
y[1] (analytic) = 0.11088922177833266744355655444567
y[1] (numeric) = 0.11088922177833266733133673617662
absolute error = 1.1221981826904447853111850235824e-19
relative error = 1.0119993311286075287939334343332e-16 %
Correct digits = 17
h = 0.001
Complex estimate of poles used for equation 1
Radius of convergence = 2.171
Order of pole = 6.538e-59
TOP MAIN SOLVE Loop
x[1] = 2.998
y[1] (analytic) = 0.11096311097953351995849091944478
y[1] (numeric) = 0.11096311097953351984596851020693
absolute error = 1.1252240923784896715660689905319e-19
relative error = 1.0140524021411318434112100006950e-16 %
Correct digits = 17
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 3
Order of pole = 1225
TOP MAIN SOLVE Loop
x[1] = 2.999
y[1] (analytic) = 0.11103707405762002469242452893354
y[1] (numeric) = 0.11103707405762002457959872135193
memory used=259.4MB, alloc=4.6MB, time=39.34
absolute error = 1.1282580758161126274539339000050e-19
relative error = 1.0161093359057986138962756157379e-16 %
Correct digits = 17
h = 0.001
Real estimate of pole used for equation 1
Radius of convergence = 2.999
Order of pole = 1225
Finished!
diff ( y , x , 1 ) = m1 * 2.0 / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0) ;
Iterations = 1000
Total Elapsed Time = 39 Seconds
Elapsed Time(since restart) = 39 Seconds
Time to Timeout = 2 Minutes 20 Seconds
Percent Done = 100.1 %
> quit
memory used=259.5MB, alloc=4.6MB, time=39.36