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._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2008
\ MAPLE / All rights reserved. Maple is a trademark of
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> #BEGIN OUTFILE1
>
> # Begin Function number 3
> display_alot := proc(iter)
> global
> glob_max_terms,
> DEBUGL,
> INFO,
> glob_iolevel,
> DEBUGMASSIVE,
> ALWAYS,
> #Top Generate Globals Decl
> glob_log10abserr,
> glob_large_float,
> glob_hmin_init,
> glob_disp_incr,
> glob_not_yet_finished,
> years_in_century,
> sec_in_min,
> glob_dump,
> glob_max_opt_iter,
> glob_subiter_method,
> glob_max_sec,
> glob_look_poles,
> glob_optimal_expect_sec,
> glob_no_eqs,
> glob_max_hours,
> glob_current_iter,
> glob_start,
> glob_smallish_float,
> glob_clock_start_sec,
> centuries_in_millinium,
> min_in_hour,
> djd_debug2,
> glob_normmax,
> glob_max_rel_trunc_err,
> glob_reached_optimal_h,
> days_in_year,
> glob_log10relerr,
> MAX_UNCHANGED,
> glob_log10_relerr,
> glob_dump_analytic,
> glob_last_good_h,
> glob_almost_1,
> hours_in_day,
> djd_debug,
> glob_html_log,
> glob_warned2,
> glob_optimal_clock_start_sec,
> glob_max_iter,
> glob_display_flag,
> glob_log10normmin,
> glob_curr_iter_when_opt,
> glob_orig_start_sec,
> glob_warned,
> glob_relerr,
> glob_optimal_done,
> glob_not_yet_start_msg,
> glob_initial_pass,
> glob_max_minutes,
> glob_unchanged_h_cnt,
> glob_clock_sec,
> glob_iter,
> glob_small_float,
> glob_abserr,
> glob_hmax,
> glob_optimal_start,
> glob_max_trunc_err,
> glob_log10_abserr,
> glob_hmin,
> glob_h,
> glob_percent_done,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_3D0,
> array_const_0D0,
> array_const_1,
> #END CONST
> array_1st_rel_error,
> array_m1,
> array_last_rel_error,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_y_init,
> array_type_pole,
> array_y,
> array_x,
> array_norms,
> array_pole,
> array_y_higher_work2,
> array_poles,
> array_real_pole,
> array_y_higher,
> array_complex_pole,
> array_y_set_initial,
> array_y_higher_work,
> glob_last;
>
> local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
> #TOP DISPLAY ALOT
> if (iter >= 0) then # if number 1
> 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 := abs(numeric_val - analytic_val_y);
> omniout_float(ALWAYS,"y[1] (numeric) ",33,numeric_val,20," ");
> if (abs(analytic_val_y) <> 0.0) then # if number 2
> relerr := abserr*100.0/abs(analytic_val_y);
> else
> relerr := -1.0 ;
> fi;# end if 2
> ;
> if glob_iter = 1 then # if number 2
> array_1st_rel_error[1] := relerr;
> else
> array_last_rel_error[1] := relerr;
> fi;# end if 2
> ;
> omniout_float(ALWAYS,"absolute error ",4,abserr,20," ");
> omniout_float(ALWAYS,"relative error ",4,relerr,20,"%");
> omniout_float(ALWAYS,"h ",4,glob_h,20," ");
> #BOTTOM DISPLAY ALOT
> fi;# end if 1
> ;
> # End Function number 3
> end;
display_alot := proc(iter)
local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
global glob_max_terms, DEBUGL, INFO, glob_iolevel, DEBUGMASSIVE, ALWAYS,
glob_log10abserr, glob_large_float, glob_hmin_init, glob_disp_incr,
glob_not_yet_finished, years_in_century, sec_in_min, glob_dump,
glob_max_opt_iter, glob_subiter_method, glob_max_sec, glob_look_poles,
glob_optimal_expect_sec, glob_no_eqs, glob_max_hours, glob_current_iter,
glob_start, glob_smallish_float, glob_clock_start_sec,
centuries_in_millinium, min_in_hour, djd_debug2, glob_normmax,
glob_max_rel_trunc_err, glob_reached_optimal_h, days_in_year,
glob_log10relerr, MAX_UNCHANGED, glob_log10_relerr, glob_dump_analytic,
glob_last_good_h, glob_almost_1, hours_in_day, djd_debug, glob_html_log,
glob_warned2, glob_optimal_clock_start_sec, glob_max_iter,
glob_display_flag, glob_log10normmin, glob_curr_iter_when_opt,
glob_orig_start_sec, glob_warned, glob_relerr, glob_optimal_done,
glob_not_yet_start_msg, glob_initial_pass, glob_max_minutes,
glob_unchanged_h_cnt, glob_clock_sec, glob_iter, glob_small_float,
glob_abserr, glob_hmax, glob_optimal_start, glob_max_trunc_err,
glob_log10_abserr, glob_hmin, glob_h, glob_percent_done, array_const_3D0,
array_const_0D0, array_const_1, array_1st_rel_error, array_m1,
array_last_rel_error, array_tmp0, array_tmp1, array_tmp2, array_tmp3,
array_tmp4, array_tmp5, array_tmp6, array_y_init, array_type_pole, array_y,
array_x, array_norms, array_pole, array_y_higher_work2, array_poles,
array_real_pole, array_y_higher, array_complex_pole, array_y_set_initial,
array_y_higher_work, glob_last;
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 := abs(numeric_val - analytic_val_y);
omniout_float(ALWAYS, "y[1] (numeric) ", 33,
numeric_val, 20, " ");
if abs(analytic_val_y) <> 0. then
relerr := abserr*100.0/abs(analytic_val_y)
else relerr := -1.0
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_float(ALWAYS, "h ", 4,
glob_h, 20, " ")
end if
end proc
> # Begin Function number 4
> adjust_for_pole := proc(h_param)
> global
> glob_max_terms,
> DEBUGL,
> INFO,
> glob_iolevel,
> DEBUGMASSIVE,
> ALWAYS,
> #Top Generate Globals Decl
> glob_log10abserr,
> glob_large_float,
> glob_hmin_init,
> glob_disp_incr,
> glob_not_yet_finished,
> years_in_century,
> sec_in_min,
> glob_dump,
> glob_max_opt_iter,
> glob_subiter_method,
> glob_max_sec,
> glob_look_poles,
> glob_optimal_expect_sec,
> glob_no_eqs,
> glob_max_hours,
> glob_current_iter,
> glob_start,
> glob_smallish_float,
> glob_clock_start_sec,
> centuries_in_millinium,
> min_in_hour,
> djd_debug2,
> glob_normmax,
> glob_max_rel_trunc_err,
> glob_reached_optimal_h,
> days_in_year,
> glob_log10relerr,
> MAX_UNCHANGED,
> glob_log10_relerr,
> glob_dump_analytic,
> glob_last_good_h,
> glob_almost_1,
> hours_in_day,
> djd_debug,
> glob_html_log,
> glob_warned2,
> glob_optimal_clock_start_sec,
> glob_max_iter,
> glob_display_flag,
> glob_log10normmin,
> glob_curr_iter_when_opt,
> glob_orig_start_sec,
> glob_warned,
> glob_relerr,
> glob_optimal_done,
> glob_not_yet_start_msg,
> glob_initial_pass,
> glob_max_minutes,
> glob_unchanged_h_cnt,
> glob_clock_sec,
> glob_iter,
> glob_small_float,
> glob_abserr,
> glob_hmax,
> glob_optimal_start,
> glob_max_trunc_err,
> glob_log10_abserr,
> glob_hmin,
> glob_h,
> glob_percent_done,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_3D0,
> array_const_0D0,
> array_const_1,
> #END CONST
> array_1st_rel_error,
> array_m1,
> array_last_rel_error,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_y_init,
> array_type_pole,
> array_y,
> array_x,
> array_norms,
> array_pole,
> array_y_higher_work2,
> array_poles,
> array_real_pole,
> array_y_higher,
> array_complex_pole,
> array_y_set_initial,
> array_y_higher_work,
> glob_last;
>
> local hnew, sz2, tmp;
> #TOP ADJUST FOR POLE
>
> hnew := h_param;
> glob_normmax := glob_small_float;
> if (abs(array_y_higher[1,1]) > glob_small_float) then # if number 1
> tmp := abs(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 (abs(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");
> newline();
> 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
> #BOTTOM ADJUST FOR POLE
> # End Function number 4
> end;
adjust_for_pole := proc(h_param)
local hnew, sz2, tmp;
global glob_max_terms, DEBUGL, INFO, glob_iolevel, DEBUGMASSIVE, ALWAYS,
glob_log10abserr, glob_large_float, glob_hmin_init, glob_disp_incr,
glob_not_yet_finished, years_in_century, sec_in_min, glob_dump,
glob_max_opt_iter, glob_subiter_method, glob_max_sec, glob_look_poles,
glob_optimal_expect_sec, glob_no_eqs, glob_max_hours, glob_current_iter,
glob_start, glob_smallish_float, glob_clock_start_sec,
centuries_in_millinium, min_in_hour, djd_debug2, glob_normmax,
glob_max_rel_trunc_err, glob_reached_optimal_h, days_in_year,
glob_log10relerr, MAX_UNCHANGED, glob_log10_relerr, glob_dump_analytic,
glob_last_good_h, glob_almost_1, hours_in_day, djd_debug, glob_html_log,
glob_warned2, glob_optimal_clock_start_sec, glob_max_iter,
glob_display_flag, glob_log10normmin, glob_curr_iter_when_opt,
glob_orig_start_sec, glob_warned, glob_relerr, glob_optimal_done,
glob_not_yet_start_msg, glob_initial_pass, glob_max_minutes,
glob_unchanged_h_cnt, glob_clock_sec, glob_iter, glob_small_float,
glob_abserr, glob_hmax, glob_optimal_start, glob_max_trunc_err,
glob_log10_abserr, glob_hmin, glob_h, glob_percent_done, array_const_3D0,
array_const_0D0, array_const_1, array_1st_rel_error, array_m1,
array_last_rel_error, array_tmp0, array_tmp1, array_tmp2, array_tmp3,
array_tmp4, array_tmp5, array_tmp6, array_y_init, array_type_pole, array_y,
array_x, array_norms, array_pole, array_y_higher_work2, array_poles,
array_real_pole, array_y_higher, array_complex_pole, array_y_set_initial,
array_y_higher_work, glob_last;
hnew := h_param;
glob_normmax := glob_small_float;
if glob_small_float < abs(array_y_higher[1, 1]) then
tmp := abs(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 < abs(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");
newline();
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
end proc
> # Begin Function number 5
> prog_report := proc(x_start,x_end)
> global
> glob_max_terms,
> DEBUGL,
> INFO,
> glob_iolevel,
> DEBUGMASSIVE,
> ALWAYS,
> #Top Generate Globals Decl
> glob_log10abserr,
> glob_large_float,
> glob_hmin_init,
> glob_disp_incr,
> glob_not_yet_finished,
> years_in_century,
> sec_in_min,
> glob_dump,
> glob_max_opt_iter,
> glob_subiter_method,
> glob_max_sec,
> glob_look_poles,
> glob_optimal_expect_sec,
> glob_no_eqs,
> glob_max_hours,
> glob_current_iter,
> glob_start,
> glob_smallish_float,
> glob_clock_start_sec,
> centuries_in_millinium,
> min_in_hour,
> djd_debug2,
> glob_normmax,
> glob_max_rel_trunc_err,
> glob_reached_optimal_h,
> days_in_year,
> glob_log10relerr,
> MAX_UNCHANGED,
> glob_log10_relerr,
> glob_dump_analytic,
> glob_last_good_h,
> glob_almost_1,
> hours_in_day,
> djd_debug,
> glob_html_log,
> glob_warned2,
> glob_optimal_clock_start_sec,
> glob_max_iter,
> glob_display_flag,
> glob_log10normmin,
> glob_curr_iter_when_opt,
> glob_orig_start_sec,
> glob_warned,
> glob_relerr,
> glob_optimal_done,
> glob_not_yet_start_msg,
> glob_initial_pass,
> glob_max_minutes,
> glob_unchanged_h_cnt,
> glob_clock_sec,
> glob_iter,
> glob_small_float,
> glob_abserr,
> glob_hmax,
> glob_optimal_start,
> glob_max_trunc_err,
> glob_log10_abserr,
> glob_hmin,
> glob_h,
> glob_percent_done,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_3D0,
> array_const_0D0,
> array_const_1,
> #END CONST
> array_1st_rel_error,
> array_m1,
> array_last_rel_error,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_y_init,
> array_type_pole,
> array_y,
> array_x,
> array_norms,
> array_pole,
> array_y_higher_work2,
> array_poles,
> array_real_pole,
> array_y_higher,
> array_complex_pole,
> array_y_set_initial,
> array_y_higher_work,
> 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));
> 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));
> 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 Function number 5
> 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, DEBUGL, INFO, glob_iolevel, DEBUGMASSIVE, ALWAYS,
glob_log10abserr, glob_large_float, glob_hmin_init, glob_disp_incr,
glob_not_yet_finished, years_in_century, sec_in_min, glob_dump,
glob_max_opt_iter, glob_subiter_method, glob_max_sec, glob_look_poles,
glob_optimal_expect_sec, glob_no_eqs, glob_max_hours, glob_current_iter,
glob_start, glob_smallish_float, glob_clock_start_sec,
centuries_in_millinium, min_in_hour, djd_debug2, glob_normmax,
glob_max_rel_trunc_err, glob_reached_optimal_h, days_in_year,
glob_log10relerr, MAX_UNCHANGED, glob_log10_relerr, glob_dump_analytic,
glob_last_good_h, glob_almost_1, hours_in_day, djd_debug, glob_html_log,
glob_warned2, glob_optimal_clock_start_sec, glob_max_iter,
glob_display_flag, glob_log10normmin, glob_curr_iter_when_opt,
glob_orig_start_sec, glob_warned, glob_relerr, glob_optimal_done,
glob_not_yet_start_msg, glob_initial_pass, glob_max_minutes,
glob_unchanged_h_cnt, glob_clock_sec, glob_iter, glob_small_float,
glob_abserr, glob_hmax, glob_optimal_start, glob_max_trunc_err,
glob_log10_abserr, glob_hmin, glob_h, glob_percent_done, array_const_3D0,
array_const_0D0, array_const_1, array_1st_rel_error, array_m1,
array_last_rel_error, array_tmp0, array_tmp1, array_tmp2, array_tmp3,
array_tmp4, array_tmp5, array_tmp6, array_y_init, array_type_pole, array_y,
array_x, array_norms, array_pole, array_y_higher_work2, array_poles,
array_real_pole, array_y_higher, array_complex_pole, array_y_set_initial,
array_y_higher_work, 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));
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))
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
> # Begin Function number 6
> check_for_pole := proc()
> global
> glob_max_terms,
> DEBUGL,
> INFO,
> glob_iolevel,
> DEBUGMASSIVE,
> ALWAYS,
> #Top Generate Globals Decl
> glob_log10abserr,
> glob_large_float,
> glob_hmin_init,
> glob_disp_incr,
> glob_not_yet_finished,
> years_in_century,
> sec_in_min,
> glob_dump,
> glob_max_opt_iter,
> glob_subiter_method,
> glob_max_sec,
> glob_look_poles,
> glob_optimal_expect_sec,
> glob_no_eqs,
> glob_max_hours,
> glob_current_iter,
> glob_start,
> glob_smallish_float,
> glob_clock_start_sec,
> centuries_in_millinium,
> min_in_hour,
> djd_debug2,
> glob_normmax,
> glob_max_rel_trunc_err,
> glob_reached_optimal_h,
> days_in_year,
> glob_log10relerr,
> MAX_UNCHANGED,
> glob_log10_relerr,
> glob_dump_analytic,
> glob_last_good_h,
> glob_almost_1,
> hours_in_day,
> djd_debug,
> glob_html_log,
> glob_warned2,
> glob_optimal_clock_start_sec,
> glob_max_iter,
> glob_display_flag,
> glob_log10normmin,
> glob_curr_iter_when_opt,
> glob_orig_start_sec,
> glob_warned,
> glob_relerr,
> glob_optimal_done,
> glob_not_yet_start_msg,
> glob_initial_pass,
> glob_max_minutes,
> glob_unchanged_h_cnt,
> glob_clock_sec,
> glob_iter,
> glob_small_float,
> glob_abserr,
> glob_hmax,
> glob_optimal_start,
> glob_max_trunc_err,
> glob_log10_abserr,
> glob_hmin,
> glob_h,
> glob_percent_done,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_3D0,
> array_const_0D0,
> array_const_1,
> #END CONST
> array_1st_rel_error,
> array_m1,
> array_last_rel_error,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_y_init,
> array_type_pole,
> array_y,
> array_x,
> array_norms,
> array_pole,
> array_y_higher_work2,
> array_poles,
> array_real_pole,
> array_y_higher,
> array_complex_pole,
> array_y_set_initial,
> array_y_higher_work,
> glob_last;
>
> local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found;
> #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 ((abs(array_y_higher[1,m]) < glob_small_float) or (abs(array_y_higher[1,m-1]) < glob_small_float) or (abs(array_y_higher[1,m-2]) < glob_small_float ))) do # do number 2
> m := m - 1;
> od;# end do number 2
> ;
> if (m > 10) then # if number 1
> rm0 := array_y_higher[1,m]/array_y_higher[1,m-1];
> rm1 := array_y_higher[1,m-1]/array_y_higher[1,m-2];
> hdrc := convfloat(m-1)*rm0-convfloat(m-2)*rm1;
> if (abs(hdrc) > glob_small_float) then # if number 2
> rcs := glob_h/hdrc;
> ord_no := convfloat(m-1)*rm0/hdrc - convfloat(m) + 2.0;
> array_real_pole[1,1] := rcs;
> array_real_pole[1,2] := ord_no;
> else
> array_real_pole[1,1] := glob_large_float;
> array_real_pole[1,2] := glob_large_float;
> fi;# end if 2
> else
> array_real_pole[1,1] := glob_large_float;
> array_real_pole[1,2] := glob_large_float;
> fi;# end if 1
> ;
> #BOTTOM RADII REAL EQ = 1
> #TOP RADII COMPLEX EQ = 1
> #Computes radius of convergence for complex conjugate pair of poles.
> #from 6 adjacent Taylor series terms
> #Also computes r_order of poles.
> #Due to Manuel Prieto.
> #With a correction by Dennis J. Darland
> n := glob_max_terms - 1 - 1;
> cnt := 0;
> while ((cnt < 5) and (n >= 10)) do # do number 2
> if (abs(array_y_higher[1,n]) > glob_small_float) then # if number 1
> cnt := cnt + 1;
> else
> cnt := 0;
> fi;# end if 1
> ;
> n := n - 1;
> od;# end do number 2
> ;
> m := n + cnt;
> if (m <= 10) then # if number 1
> array_complex_pole[1,1] := glob_large_float;
> array_complex_pole[1,2] := glob_large_float;
> elif (abs(array_y_higher[1,m]) >= (glob_large_float)) or (abs(array_y_higher[1,m-1]) >=(glob_large_float)) or (abs(array_y_higher[1,m-2]) >= (glob_large_float)) or (abs(array_y_higher[1,m-3]) >= (glob_large_float)) or (abs(array_y_higher[1,m-4]) >= (glob_large_float)) or (abs(array_y_higher[1,m-5]) >= (glob_large_float)) then # if number 2
> array_complex_pole[1,1] := glob_large_float;
> array_complex_pole[1,2] := glob_large_float;
> else
> rm0 := (array_y_higher[1,m])/(array_y_higher[1,m-1]);
> rm1 := (array_y_higher[1,m-1])/(array_y_higher[1,m-2]);
> rm2 := (array_y_higher[1,m-2])/(array_y_higher[1,m-3]);
> rm3 := (array_y_higher[1,m-3])/(array_y_higher[1,m-4]);
> rm4 := (array_y_higher[1,m-4])/(array_y_higher[1,m-5]);
> nr1 := convfloat(m-1)*rm0 - 2.0*convfloat(m-2)*rm1 + convfloat(m-3)*rm2;
> nr2 := convfloat(m-2)*rm1 - 2.0*convfloat(m-3)*rm2 + convfloat(m-4)*rm3;
> dr1 := (-1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
> dr2 := (-1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
> ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
> ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
> if ((abs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (abs(dr1) <= glob_small_float)) then # if number 3
> array_complex_pole[1,1] := glob_large_float;
> array_complex_pole[1,2] := glob_large_float;
> else
> if (abs(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 (abs(rcs) > glob_small_float) then # if number 5
> if (rcs > 0.0) then # if number 6
> rad_c := sqrt(rcs) * glob_h;
> else
> rad_c := glob_large_float;
> fi;# end if 6
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 5
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 4
> fi;# end if 3
> ;
> array_complex_pole[1,1] := rad_c;
> array_complex_pole[1,2] := ord_no;
> fi;# end if 2
> ;
> #BOTTOM RADII COMPLEX EQ = 1
> found := false;
> #TOP WHICH RADII EQ = 1
> if not found and ((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float)) and ((array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0)) then # if number 2
> array_poles[1,1] := array_complex_pole[1,1];
> array_poles[1,2] := array_complex_pole[1,2];
> found := true;
> array_type_pole[1] := 2;
> if (glob_display_flag) then # if number 3
> omniout_str(ALWAYS,"Complex estimate of poles used");
> fi;# end if 3
> ;
> fi;# end if 2
> ;
> if not found and ((array_real_pole[1,1] <> glob_large_float) and (array_real_pole[1,2] <> glob_large_float) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > 0.0) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float) or (array_complex_pole[1,1] <= 0.0 ) or (array_complex_pole[1,2] <= 0.0))) then # if number 2
> array_poles[1,1] := array_real_pole[1,1];
> array_poles[1,2] := array_real_pole[1,2];
> found := true;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 3
> omniout_str(ALWAYS,"Real estimate of pole used");
> fi;# end if 3
> ;
> fi;# end if 2
> ;
> if not found and (((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float))) then # if number 2
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> found := true;
> array_type_pole[1] := 3;
> if (glob_display_flag) then # if number 3
> omniout_str(ALWAYS,"NO POLE");
> fi;# end if 3
> ;
> fi;# end if 2
> ;
> if not found and ((array_real_pole[1,1] < array_complex_pole[1,1]) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > 0.0)) then # if number 2
> array_poles[1,1] := array_real_pole[1,1];
> array_poles[1,2] := array_real_pole[1,2];
> found := true;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 3
> omniout_str(ALWAYS,"Real estimate of pole used");
> fi;# end if 3
> ;
> fi;# end if 2
> ;
> if not found and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float) and (array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0)) then # if number 2
> array_poles[1,1] := array_complex_pole[1,1];
> array_poles[1,2] := array_complex_pole[1,2];
> array_type_pole[1] := 2;
> found := true;
> if (glob_display_flag) then # if number 3
> omniout_str(ALWAYS,"Complex estimate of poles used");
> fi;# end if 3
> ;
> fi;# end if 2
> ;
> if not found then # if number 2
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> array_type_pole[1] := 3;
> if (glob_display_flag) then # if number 3
> omniout_str(ALWAYS,"NO POLE");
> fi;# end if 3
> ;
> fi;# end if 2
> ;
> #BOTTOM WHICH RADII EQ = 1
> array_pole[1] := glob_large_float;
> array_pole[2] := glob_large_float;
> #TOP WHICH RADIUS EQ = 1
> if array_pole[1] > array_poles[1,1] then # if number 2
> array_pole[1] := array_poles[1,1];
> array_pole[2] := array_poles[1,2];
> fi;# end if 2
> ;
> #BOTTOM WHICH RADIUS EQ = 1
> #BOTTOM CHECK FOR POLE
> display_pole();
> # End Function number 6
> end;
check_for_pole := proc()
local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs,
rm0, rm1, rm2, rm3, rm4, found;
global glob_max_terms, DEBUGL, INFO, glob_iolevel, DEBUGMASSIVE, ALWAYS,
glob_log10abserr, glob_large_float, glob_hmin_init, glob_disp_incr,
glob_not_yet_finished, years_in_century, sec_in_min, glob_dump,
glob_max_opt_iter, glob_subiter_method, glob_max_sec, glob_look_poles,
glob_optimal_expect_sec, glob_no_eqs, glob_max_hours, glob_current_iter,
glob_start, glob_smallish_float, glob_clock_start_sec,
centuries_in_millinium, min_in_hour, djd_debug2, glob_normmax,
glob_max_rel_trunc_err, glob_reached_optimal_h, days_in_year,
glob_log10relerr, MAX_UNCHANGED, glob_log10_relerr, glob_dump_analytic,
glob_last_good_h, glob_almost_1, hours_in_day, djd_debug, glob_html_log,
glob_warned2, glob_optimal_clock_start_sec, glob_max_iter,
glob_display_flag, glob_log10normmin, glob_curr_iter_when_opt,
glob_orig_start_sec, glob_warned, glob_relerr, glob_optimal_done,
glob_not_yet_start_msg, glob_initial_pass, glob_max_minutes,
glob_unchanged_h_cnt, glob_clock_sec, glob_iter, glob_small_float,
glob_abserr, glob_hmax, glob_optimal_start, glob_max_trunc_err,
glob_log10_abserr, glob_hmin, glob_h, glob_percent_done, array_const_3D0,
array_const_0D0, array_const_1, array_1st_rel_error, array_m1,
array_last_rel_error, array_tmp0, array_tmp1, array_tmp2, array_tmp3,
array_tmp4, array_tmp5, array_tmp6, array_y_init, array_type_pole, array_y,
array_x, array_norms, array_pole, array_y_higher_work2, array_poles,
array_real_pole, array_y_higher, array_complex_pole, array_y_set_initial,
array_y_higher_work, glob_last;
n := glob_max_terms;
m := n - 2;
while 10 <= m and (abs(array_y_higher[1, m]) < glob_small_float or
abs(array_y_higher[1, m - 1]) < glob_small_float or
abs(array_y_higher[1, m - 2]) < glob_small_float) do m := m - 1
end do;
if 10 < m then
rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1];
rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2];
hdrc := convfloat(m - 1)*rm0 - convfloat(m - 2)*rm1;
if glob_small_float < abs(hdrc) then
rcs := glob_h/hdrc;
ord_no := convfloat(m - 1)*rm0/hdrc - convfloat(m) + 2.0;
array_real_pole[1, 1] := rcs;
array_real_pole[1, 2] := ord_no
else
array_real_pole[1, 1] := glob_large_float;
array_real_pole[1, 2] := glob_large_float
end if
else
array_real_pole[1, 1] := glob_large_float;
array_real_pole[1, 2] := glob_large_float
end if;
n := glob_max_terms - 2;
cnt := 0;
while cnt < 5 and 10 <= n do
if glob_small_float < abs(array_y_higher[1, n]) then cnt := cnt + 1
else cnt := 0
end if;
n := n - 1
end do;
m := n + cnt;
if m <= 10 then
array_complex_pole[1, 1] := glob_large_float;
array_complex_pole[1, 2] := glob_large_float
elif glob_large_float <= abs(array_y_higher[1, m]) or
glob_large_float <= abs(array_y_higher[1, m - 1]) or
glob_large_float <= abs(array_y_higher[1, m - 2]) or
glob_large_float <= abs(array_y_higher[1, m - 3]) or
glob_large_float <= abs(array_y_higher[1, m - 4]) or
glob_large_float <= abs(array_y_higher[1, m - 5]) then
array_complex_pole[1, 1] := glob_large_float;
array_complex_pole[1, 2] := glob_large_float
else
rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1];
rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2];
rm2 := array_y_higher[1, m - 2]/array_y_higher[1, m - 3];
rm3 := array_y_higher[1, m - 3]/array_y_higher[1, m - 4];
rm4 := array_y_higher[1, m - 4]/array_y_higher[1, m - 5];
nr1 := convfloat(m - 1)*rm0 - 2.0*convfloat(m - 2)*rm1
+ convfloat(m - 3)*rm2;
nr2 := convfloat(m - 2)*rm1 - 2.0*convfloat(m - 3)*rm2
+ convfloat(m - 4)*rm3;
dr1 := (-1)*(1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
dr2 := (-1)*(1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
if abs(nr1*dr2 - nr2*dr1) <= glob_small_float or
abs(dr1) <= glob_small_float then
array_complex_pole[1, 1] := glob_large_float;
array_complex_pole[1, 2] := glob_large_float
else
if glob_small_float < abs(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 < abs(rcs) then
if 0. < rcs then rad_c := sqrt(rcs)*glob_h
else rad_c := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
end if;
array_complex_pole[1, 1] := rad_c;
array_complex_pole[1, 2] := ord_no
end if;
found := false;
if not found and (array_real_pole[1, 1] = glob_large_float or
array_real_pole[1, 2] = glob_large_float) and
array_complex_pole[1, 1] <> glob_large_float and
array_complex_pole[1, 2] <> glob_large_float and
0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then
array_poles[1, 1] := array_complex_pole[1, 1];
array_poles[1, 2] := array_complex_pole[1, 2];
found := true;
array_type_pole[1] := 2;
if glob_display_flag then
omniout_str(ALWAYS, "Complex estimate of poles used")
end if
end if;
if not found and array_real_pole[1, 1] <> glob_large_float and
array_real_pole[1, 2] <> glob_large_float and
0. < array_real_pole[1, 1] and 0. < array_real_pole[1, 2] and (
array_complex_pole[1, 1] = glob_large_float or
array_complex_pole[1, 2] = glob_large_float or
array_complex_pole[1, 1] <= 0. or array_complex_pole[1, 2] <= 0.) then
array_poles[1, 1] := array_real_pole[1, 1];
array_poles[1, 2] := array_real_pole[1, 2];
found := true;
array_type_pole[1] := 1;
if glob_display_flag then
omniout_str(ALWAYS, "Real estimate of pole used")
end if
end if;
if not found and (array_real_pole[1, 1] = glob_large_float or
array_real_pole[1, 2] = glob_large_float) and (
array_complex_pole[1, 1] = glob_large_float or
array_complex_pole[1, 2] = glob_large_float) then
array_poles[1, 1] := glob_large_float;
array_poles[1, 2] := glob_large_float;
found := true;
array_type_pole[1] := 3;
if glob_display_flag then omniout_str(ALWAYS, "NO POLE") end if
end if;
if not found and array_real_pole[1, 1] < array_complex_pole[1, 1] and
0. < array_real_pole[1, 1] and 0. < array_real_pole[1, 2] then
array_poles[1, 1] := array_real_pole[1, 1];
array_poles[1, 2] := array_real_pole[1, 2];
found := true;
array_type_pole[1] := 1;
if glob_display_flag then
omniout_str(ALWAYS, "Real estimate of pole used")
end if
end if;
if not found and array_complex_pole[1, 1] <> glob_large_float and
array_complex_pole[1, 2] <> glob_large_float and
0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then
array_poles[1, 1] := array_complex_pole[1, 1];
array_poles[1, 2] := array_complex_pole[1, 2];
array_type_pole[1] := 2;
found := true;
if glob_display_flag then
omniout_str(ALWAYS, "Complex estimate of poles used")
end if
end if;
if not found then
array_poles[1, 1] := glob_large_float;
array_poles[1, 2] := glob_large_float;
array_type_pole[1] := 3;
if glob_display_flag then omniout_str(ALWAYS, "NO POLE") end if
end if;
array_pole[1] := glob_large_float;
array_pole[2] := glob_large_float;
if array_poles[1, 1] < array_pole[1] then
array_pole[1] := array_poles[1, 1];
array_pole[2] := array_poles[1, 2]
end if;
display_pole()
end proc
> # Begin Function number 7
> get_norms := proc()
> global
> glob_max_terms,
> DEBUGL,
> INFO,
> glob_iolevel,
> DEBUGMASSIVE,
> ALWAYS,
> #Top Generate Globals Decl
> glob_log10abserr,
> glob_large_float,
> glob_hmin_init,
> glob_disp_incr,
> glob_not_yet_finished,
> years_in_century,
> sec_in_min,
> glob_dump,
> glob_max_opt_iter,
> glob_subiter_method,
> glob_max_sec,
> glob_look_poles,
> glob_optimal_expect_sec,
> glob_no_eqs,
> glob_max_hours,
> glob_current_iter,
> glob_start,
> glob_smallish_float,
> glob_clock_start_sec,
> centuries_in_millinium,
> min_in_hour,
> djd_debug2,
> glob_normmax,
> glob_max_rel_trunc_err,
> glob_reached_optimal_h,
> days_in_year,
> glob_log10relerr,
> MAX_UNCHANGED,
> glob_log10_relerr,
> glob_dump_analytic,
> glob_last_good_h,
> glob_almost_1,
> hours_in_day,
> djd_debug,
> glob_html_log,
> glob_warned2,
> glob_optimal_clock_start_sec,
> glob_max_iter,
> glob_display_flag,
> glob_log10normmin,
> glob_curr_iter_when_opt,
> glob_orig_start_sec,
> glob_warned,
> glob_relerr,
> glob_optimal_done,
> glob_not_yet_start_msg,
> glob_initial_pass,
> glob_max_minutes,
> glob_unchanged_h_cnt,
> glob_clock_sec,
> glob_iter,
> glob_small_float,
> glob_abserr,
> glob_hmax,
> glob_optimal_start,
> glob_max_trunc_err,
> glob_log10_abserr,
> glob_hmin,
> glob_h,
> glob_percent_done,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_3D0,
> array_const_0D0,
> array_const_1,
> #END CONST
> array_1st_rel_error,
> array_m1,
> array_last_rel_error,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_y_init,
> array_type_pole,
> array_y,
> array_x,
> array_norms,
> array_pole,
> array_y_higher_work2,
> array_poles,
> array_real_pole,
> array_y_higher,
> array_complex_pole,
> array_y_set_initial,
> array_y_higher_work,
> glob_last;
>
> local iii;
> if (not glob_initial_pass) then # if number 2
> set_z(array_norms,glob_max_terms+1);
> #TOP GET NORMS
> iii := 1;
> while (iii <= glob_max_terms) do # do number 2
> if (abs(array_y[iii]) > array_norms[iii]) then # if number 3
> array_norms[iii] := abs(array_y[iii]);
> fi;# end if 3
> ;
> iii := iii + 1;
> od;# end do number 2
> #GET NORMS
> ;
> fi;# end if 2
> ;
> # End Function number 7
> end;
get_norms := proc()
local iii;
global glob_max_terms, DEBUGL, INFO, glob_iolevel, DEBUGMASSIVE, ALWAYS,
glob_log10abserr, glob_large_float, glob_hmin_init, glob_disp_incr,
glob_not_yet_finished, years_in_century, sec_in_min, glob_dump,
glob_max_opt_iter, glob_subiter_method, glob_max_sec, glob_look_poles,
glob_optimal_expect_sec, glob_no_eqs, glob_max_hours, glob_current_iter,
glob_start, glob_smallish_float, glob_clock_start_sec,
centuries_in_millinium, min_in_hour, djd_debug2, glob_normmax,
glob_max_rel_trunc_err, glob_reached_optimal_h, days_in_year,
glob_log10relerr, MAX_UNCHANGED, glob_log10_relerr, glob_dump_analytic,
glob_last_good_h, glob_almost_1, hours_in_day, djd_debug, glob_html_log,
glob_warned2, glob_optimal_clock_start_sec, glob_max_iter,
glob_display_flag, glob_log10normmin, glob_curr_iter_when_opt,
glob_orig_start_sec, glob_warned, glob_relerr, glob_optimal_done,
glob_not_yet_start_msg, glob_initial_pass, glob_max_minutes,
glob_unchanged_h_cnt, glob_clock_sec, glob_iter, glob_small_float,
glob_abserr, glob_hmax, glob_optimal_start, glob_max_trunc_err,
glob_log10_abserr, glob_hmin, glob_h, glob_percent_done, array_const_3D0,
array_const_0D0, array_const_1, array_1st_rel_error, array_m1,
array_last_rel_error, array_tmp0, array_tmp1, array_tmp2, array_tmp3,
array_tmp4, array_tmp5, array_tmp6, array_y_init, array_type_pole, array_y,
array_x, array_norms, array_pole, array_y_higher_work2, array_poles,
array_real_pole, array_y_higher, array_complex_pole, array_y_set_initial,
array_y_higher_work, glob_last;
if not glob_initial_pass then
set_z(array_norms, glob_max_terms + 1);
iii := 1;
while iii <= glob_max_terms do
if array_norms[iii] < abs(array_y[iii]) then
array_norms[iii] := abs(array_y[iii])
end if;
iii := iii + 1
end do
end if
end proc
> # Begin Function number 8
> atomall := proc()
> global
> glob_max_terms,
> DEBUGL,
> INFO,
> glob_iolevel,
> DEBUGMASSIVE,
> ALWAYS,
> #Top Generate Globals Decl
> glob_log10abserr,
> glob_large_float,
> glob_hmin_init,
> glob_disp_incr,
> glob_not_yet_finished,
> years_in_century,
> sec_in_min,
> glob_dump,
> glob_max_opt_iter,
> glob_subiter_method,
> glob_max_sec,
> glob_look_poles,
> glob_optimal_expect_sec,
> glob_no_eqs,
> glob_max_hours,
> glob_current_iter,
> glob_start,
> glob_smallish_float,
> glob_clock_start_sec,
> centuries_in_millinium,
> min_in_hour,
> djd_debug2,
> glob_normmax,
> glob_max_rel_trunc_err,
> glob_reached_optimal_h,
> days_in_year,
> glob_log10relerr,
> MAX_UNCHANGED,
> glob_log10_relerr,
> glob_dump_analytic,
> glob_last_good_h,
> glob_almost_1,
> hours_in_day,
> djd_debug,
> glob_html_log,
> glob_warned2,
> glob_optimal_clock_start_sec,
> glob_max_iter,
> glob_display_flag,
> glob_log10normmin,
> glob_curr_iter_when_opt,
> glob_orig_start_sec,
> glob_warned,
> glob_relerr,
> glob_optimal_done,
> glob_not_yet_start_msg,
> glob_initial_pass,
> glob_max_minutes,
> glob_unchanged_h_cnt,
> glob_clock_sec,
> glob_iter,
> glob_small_float,
> glob_abserr,
> glob_hmax,
> glob_optimal_start,
> glob_max_trunc_err,
> glob_log10_abserr,
> glob_hmin,
> glob_h,
> glob_percent_done,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_3D0,
> array_const_0D0,
> array_const_1,
> #END CONST
> array_1st_rel_error,
> array_m1,
> array_last_rel_error,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_y_init,
> array_type_pole,
> array_y,
> array_x,
> array_norms,
> array_pole,
> array_y_higher_work2,
> array_poles,
> array_real_pole,
> array_y_higher,
> array_complex_pole,
> array_y_set_initial,
> array_y_higher_work,
> glob_last;
>
> local kkk, order_d, adj2, temporary, term;
> #TOP ATOMALL
> #END OUTFILE1
> #BEGIN ATOMHDR1
> # emit pre mult $eq_no = 1 i = 1
> array_tmp1[1] := (array_m1[1] * (array_const_3D0[1]));
> #emit pre div $eq_no = 1 i = 1
> array_tmp2[1] := (array_tmp1[1] / (array_x[1]));
> #emit pre div $eq_no = 1 i = 1
> array_tmp3[1] := (array_tmp2[1] / (array_x[1]));
> #emit pre div $eq_no = 1 i = 1
> array_tmp4[1] := (array_tmp3[1] / (array_x[1]));
> #emit pre div $eq_no = 1 i = 1
> array_tmp5[1] := (array_tmp4[1] / (array_x[1]));
> #emit pre add $eq_no = 1 i = 1
> array_tmp6[1] := array_const_0D0[1] + array_tmp5[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_tmp6[1] * (glob_h ^ (1)) * factorial_3(0,1);
> array_y[2] := temporary;
> array_y_higher[1,2] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y_higher[2,1] := temporary
> ;
> fi;# end if 2
> ;
> fi;# end if 1
> ;
> kkk := 2;
> #END ATOMHDR1
> #BEGIN ATOMHDR2
> # emit pre mult $eq_no = 1 i = 2
> array_tmp1[2] := ats(2,array_m1,array_const_3D0,1);
> #emit pre div $eq_no = 1 i = 2
> array_tmp2[2] := ((array_tmp1[2] - ats(2,array_x,array_tmp2,2))/array_x[1]);
> #emit pre div $eq_no = 1 i = 2
> array_tmp3[2] := ((array_tmp2[2] - ats(2,array_x,array_tmp3,2))/array_x[1]);
> #emit pre div $eq_no = 1 i = 2
> array_tmp4[2] := ((array_tmp3[2] - ats(2,array_x,array_tmp4,2))/array_x[1]);
> #emit pre div $eq_no = 1 i = 2
> array_tmp5[2] := ((array_tmp4[2] - ats(2,array_x,array_tmp5,2))/array_x[1]);
> #emit pre add $eq_no = 1 i = 2
> array_tmp6[2] := array_const_0D0[2] + array_tmp5[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_tmp6[2] * (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 $eq_no = 1 i = 3
> array_tmp1[3] := ats(3,array_m1,array_const_3D0,1);
> #emit pre div $eq_no = 1 i = 3
> array_tmp2[3] := ((array_tmp1[3] - ats(3,array_x,array_tmp2,2))/array_x[1]);
> #emit pre div $eq_no = 1 i = 3
> array_tmp3[3] := ((array_tmp2[3] - ats(3,array_x,array_tmp3,2))/array_x[1]);
> #emit pre div $eq_no = 1 i = 3
> array_tmp4[3] := ((array_tmp3[3] - ats(3,array_x,array_tmp4,2))/array_x[1]);
> #emit pre div $eq_no = 1 i = 3
> array_tmp5[3] := ((array_tmp4[3] - ats(3,array_x,array_tmp5,2))/array_x[1]);
> #emit pre add $eq_no = 1 i = 3
> array_tmp6[3] := array_const_0D0[3] + array_tmp5[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_tmp6[3] * (glob_h ^ (1)) * factorial_3(2,3);
> array_y[4] := temporary;
> array_y_higher[1,4] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y_higher[2,3] := temporary
> ;
> fi;# end if 2
> ;
> fi;# end if 1
> ;
> kkk := 4;
> #END ATOMHDR3
> #BEGIN ATOMHDR4
> # emit pre mult $eq_no = 1 i = 4
> array_tmp1[4] := ats(4,array_m1,array_const_3D0,1);
> #emit pre div $eq_no = 1 i = 4
> array_tmp2[4] := ((array_tmp1[4] - ats(4,array_x,array_tmp2,2))/array_x[1]);
> #emit pre div $eq_no = 1 i = 4
> array_tmp3[4] := ((array_tmp2[4] - ats(4,array_x,array_tmp3,2))/array_x[1]);
> #emit pre div $eq_no = 1 i = 4
> array_tmp4[4] := ((array_tmp3[4] - ats(4,array_x,array_tmp4,2))/array_x[1]);
> #emit pre div $eq_no = 1 i = 4
> array_tmp5[4] := ((array_tmp4[4] - ats(4,array_x,array_tmp5,2))/array_x[1]);
> #emit pre add $eq_no = 1 i = 4
> array_tmp6[4] := array_const_0D0[4] + array_tmp5[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_tmp6[4] * (glob_h ^ (1)) * factorial_3(3,4);
> array_y[5] := temporary;
> array_y_higher[1,5] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y_higher[2,4] := temporary
> ;
> fi;# end if 2
> ;
> fi;# end if 1
> ;
> kkk := 5;
> #END ATOMHDR4
> #BEGIN ATOMHDR5
> # emit pre mult $eq_no = 1 i = 5
> array_tmp1[5] := ats(5,array_m1,array_const_3D0,1);
> #emit pre div $eq_no = 1 i = 5
> array_tmp2[5] := ((array_tmp1[5] - ats(5,array_x,array_tmp2,2))/array_x[1]);
> #emit pre div $eq_no = 1 i = 5
> array_tmp3[5] := ((array_tmp2[5] - ats(5,array_x,array_tmp3,2))/array_x[1]);
> #emit pre div $eq_no = 1 i = 5
> array_tmp4[5] := ((array_tmp3[5] - ats(5,array_x,array_tmp4,2))/array_x[1]);
> #emit pre div $eq_no = 1 i = 5
> array_tmp5[5] := ((array_tmp4[5] - ats(5,array_x,array_tmp5,2))/array_x[1]);
> #emit pre add $eq_no = 1 i = 5
> array_tmp6[5] := array_const_0D0[5] + array_tmp5[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_tmp6[5] * (glob_h ^ (1)) * factorial_3(4,5);
> array_y[6] := temporary;
> array_y_higher[1,6] := temporary;
> temporary := temporary / glob_h * (2.0);
> 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 $eq_no = 1
> array_tmp1[kkk] := ats(kkk,array_m1,array_const_3D0,1);
> #emit div $eq_no = 1
> array_tmp2[kkk] := ((array_tmp1[kkk] - ats(kkk,array_x,array_tmp2,2))/array_x[1]);
> #emit div $eq_no = 1
> array_tmp3[kkk] := ((array_tmp2[kkk] - ats(kkk,array_x,array_tmp3,2))/array_x[1]);
> #emit div $eq_no = 1
> array_tmp4[kkk] := ((array_tmp3[kkk] - ats(kkk,array_x,array_tmp4,2))/array_x[1]);
> #emit div $eq_no = 1
> array_tmp5[kkk] := ((array_tmp4[kkk] - ats(kkk,array_x,array_tmp5,2))/array_x[1]);
> #emit add $eq_no = 1
> array_tmp6[kkk] := array_const_0D0[kkk] + array_tmp5[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_tmp6[kkk] * (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 := 2;
> while (adj2 <= order_d + 1) and (term >= 1) do # do number 2
> temporary := temporary / glob_h * convfp(adj2);
> array_y_higher[adj2,term] := temporary;
> adj2 := adj2 + 1;
> term := term - 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
> # End Function number 8
> end;
atomall := proc()
local kkk, order_d, adj2, temporary, term;
global glob_max_terms, DEBUGL, INFO, glob_iolevel, DEBUGMASSIVE, ALWAYS,
glob_log10abserr, glob_large_float, glob_hmin_init, glob_disp_incr,
glob_not_yet_finished, years_in_century, sec_in_min, glob_dump,
glob_max_opt_iter, glob_subiter_method, glob_max_sec, glob_look_poles,
glob_optimal_expect_sec, glob_no_eqs, glob_max_hours, glob_current_iter,
glob_start, glob_smallish_float, glob_clock_start_sec,
centuries_in_millinium, min_in_hour, djd_debug2, glob_normmax,
glob_max_rel_trunc_err, glob_reached_optimal_h, days_in_year,
glob_log10relerr, MAX_UNCHANGED, glob_log10_relerr, glob_dump_analytic,
glob_last_good_h, glob_almost_1, hours_in_day, djd_debug, glob_html_log,
glob_warned2, glob_optimal_clock_start_sec, glob_max_iter,
glob_display_flag, glob_log10normmin, glob_curr_iter_when_opt,
glob_orig_start_sec, glob_warned, glob_relerr, glob_optimal_done,
glob_not_yet_start_msg, glob_initial_pass, glob_max_minutes,
glob_unchanged_h_cnt, glob_clock_sec, glob_iter, glob_small_float,
glob_abserr, glob_hmax, glob_optimal_start, glob_max_trunc_err,
glob_log10_abserr, glob_hmin, glob_h, glob_percent_done, array_const_3D0,
array_const_0D0, array_const_1, array_1st_rel_error, array_m1,
array_last_rel_error, array_tmp0, array_tmp1, array_tmp2, array_tmp3,
array_tmp4, array_tmp5, array_tmp6, array_y_init, array_type_pole, array_y,
array_x, array_norms, array_pole, array_y_higher_work2, array_poles,
array_real_pole, array_y_higher, array_complex_pole, array_y_set_initial,
array_y_higher_work, glob_last;
array_tmp1[1] := array_m1[1]*array_const_3D0[1];
array_tmp2[1] := array_tmp1[1]/array_x[1];
array_tmp3[1] := array_tmp2[1]/array_x[1];
array_tmp4[1] := array_tmp3[1]/array_x[1];
array_tmp5[1] := array_tmp4[1]/array_x[1];
array_tmp6[1] := array_const_0D0[1] + array_tmp5[1];
if not array_y_set_initial[1, 2] then
if 1 <= glob_max_terms then
temporary := array_tmp6[1]*glob_h*factorial_3(0, 1);
array_y[2] := temporary;
array_y_higher[1, 2] := temporary;
temporary := temporary*2.0/glob_h;
array_y_higher[2, 1] := temporary
end if
end if;
kkk := 2;
array_tmp1[2] := ats(2, array_m1, array_const_3D0, 1);
array_tmp2[2] :=
(array_tmp1[2] - ats(2, array_x, array_tmp2, 2))/array_x[1];
array_tmp3[2] :=
(array_tmp2[2] - ats(2, array_x, array_tmp3, 2))/array_x[1];
array_tmp4[2] :=
(array_tmp3[2] - ats(2, array_x, array_tmp4, 2))/array_x[1];
array_tmp5[2] :=
(array_tmp4[2] - ats(2, array_x, array_tmp5, 2))/array_x[1];
array_tmp6[2] := array_const_0D0[2] + array_tmp5[2];
if not array_y_set_initial[1, 3] then
if 2 <= glob_max_terms then
temporary := array_tmp6[2]*glob_h*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] := ats(3, array_m1, array_const_3D0, 1);
array_tmp2[3] :=
(array_tmp1[3] - ats(3, array_x, array_tmp2, 2))/array_x[1];
array_tmp3[3] :=
(array_tmp2[3] - ats(3, array_x, array_tmp3, 2))/array_x[1];
array_tmp4[3] :=
(array_tmp3[3] - ats(3, array_x, array_tmp4, 2))/array_x[1];
array_tmp5[3] :=
(array_tmp4[3] - ats(3, array_x, array_tmp5, 2))/array_x[1];
array_tmp6[3] := array_const_0D0[3] + array_tmp5[3];
if not array_y_set_initial[1, 4] then
if 3 <= glob_max_terms then
temporary := array_tmp6[3]*glob_h*factorial_3(2, 3);
array_y[4] := temporary;
array_y_higher[1, 4] := temporary;
temporary := temporary*2.0/glob_h;
array_y_higher[2, 3] := temporary
end if
end if;
kkk := 4;
array_tmp1[4] := ats(4, array_m1, array_const_3D0, 1);
array_tmp2[4] :=
(array_tmp1[4] - ats(4, array_x, array_tmp2, 2))/array_x[1];
array_tmp3[4] :=
(array_tmp2[4] - ats(4, array_x, array_tmp3, 2))/array_x[1];
array_tmp4[4] :=
(array_tmp3[4] - ats(4, array_x, array_tmp4, 2))/array_x[1];
array_tmp5[4] :=
(array_tmp4[4] - ats(4, array_x, array_tmp5, 2))/array_x[1];
array_tmp6[4] := array_const_0D0[4] + array_tmp5[4];
if not array_y_set_initial[1, 5] then
if 4 <= glob_max_terms then
temporary := array_tmp6[4]*glob_h*factorial_3(3, 4);
array_y[5] := temporary;
array_y_higher[1, 5] := temporary;
temporary := temporary*2.0/glob_h;
array_y_higher[2, 4] := temporary
end if
end if;
kkk := 5;
array_tmp1[5] := ats(5, array_m1, array_const_3D0, 1);
array_tmp2[5] :=
(array_tmp1[5] - ats(5, array_x, array_tmp2, 2))/array_x[1];
array_tmp3[5] :=
(array_tmp2[5] - ats(5, array_x, array_tmp3, 2))/array_x[1];
array_tmp4[5] :=
(array_tmp3[5] - ats(5, array_x, array_tmp4, 2))/array_x[1];
array_tmp5[5] :=
(array_tmp4[5] - ats(5, array_x, array_tmp5, 2))/array_x[1];
array_tmp6[5] := array_const_0D0[5] + array_tmp5[5];
if not array_y_set_initial[1, 6] then
if 5 <= glob_max_terms then
temporary := array_tmp6[5]*glob_h*factorial_3(4, 5);
array_y[6] := temporary;
array_y_higher[1, 6] := temporary;
temporary := temporary*2.0/glob_h;
array_y_higher[2, 5] := temporary
end if
end if;
kkk := 6;
while kkk <= glob_max_terms do
array_tmp1[kkk] := ats(kkk, array_m1, array_const_3D0, 1);
array_tmp2[kkk] :=
(array_tmp1[kkk] - ats(kkk, array_x, array_tmp2, 2))/array_x[1]
;
array_tmp3[kkk] :=
(array_tmp2[kkk] - ats(kkk, array_x, array_tmp3, 2))/array_x[1]
;
array_tmp4[kkk] :=
(array_tmp3[kkk] - ats(kkk, array_x, array_tmp4, 2))/array_x[1]
;
array_tmp5[kkk] :=
(array_tmp4[kkk] - ats(kkk, array_x, array_tmp5, 2))/array_x[1]
;
array_tmp6[kkk] := array_const_0D0[kkk] + array_tmp5[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_tmp6[kkk]*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 := 2;
while adj2 <= order_d + 1 and 1 <= term do
temporary := temporary*convfp(adj2)/glob_h;
array_y_higher[adj2, term] := temporary;
adj2 := adj2 + 1;
term := term - 1
end do
end if
end if;
kkk := kkk + 1
end do
end proc
> #BEGIN ATS LIBRARY BLOCK
> omniout_str := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> printf("%s\n",str);
> fi;
> # End Function number 1
> end;
omniout_str := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s\n", str) end if
end proc
> omniout_str_noeol := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> printf("%s",str);
> fi;
> # End Function number 1
> end;
omniout_str_noeol := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s", str) end if
end proc
> omniout_labstr := proc(iolevel,label,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> print(label,str);
> fi;
> # End Function number 1
> end;
omniout_labstr := proc(iolevel, label, str)
global glob_iolevel;
if iolevel <= glob_iolevel then print(label, str) end if
end proc
> omniout_float := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= 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);
> fi;
> fi;
> # End Function number 1
> 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
> omniout_int := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> if vallen = 5 then
> printf("%-30s = %-32d %s\n",prelabel,value, postlabel);
> else
> printf("%-30s = %-32d %s \n",prelabel,value, postlabel);
> fi;
> fi;
> # End Function number 1
> 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
> omniout_float_arr := proc(iolevel,prelabel,elemnt,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> print(prelabel,"[",elemnt,"]",value, postlabel);
> fi;
> # End Function number 1
> 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
> dump_series := proc(iolevel,dump_label,series_name,
> array_series,numb)
> global glob_iolevel;
> local i;
> if (glob_iolevel >= iolevel) then
> i := 1;
> while (i <= numb) do
> print(dump_label,series_name
> ,i,array_series[i]);
> i := i + 1;
> od;
> fi;
> # End Function number 1
> end;
dump_series := proc(iolevel, dump_label, series_name, array_series, numb)
local i;
global glob_iolevel;
if iolevel <= glob_iolevel then
i := 1;
while i <= numb do
print(dump_label, series_name, i, array_series[i]); i := i + 1
end do
end if
end proc
> dump_series_2 := proc(iolevel,dump_label,series_name2,
> array_series2,numb,subnum,array_x)
> global glob_iolevel;
> local i,sub,ts_term;
> if (glob_iolevel >= iolevel) then
> sub := 1;
> while (sub <= subnum) do
> i := 1;
> while (i <= numb) do
> print(dump_label,series_name2,sub,i,array_series2[sub,i]);
> od;
> sub := sub + 1;
> od;
> fi;
> # End Function number 1
> end;
dump_series_2 := proc(
iolevel, dump_label, series_name2, array_series2, numb, subnum, array_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,
array_series2[sub, i])
end do;
sub := sub + 1
end do
end if
end proc
> cs_info := proc(iolevel,str)
> global glob_iolevel,glob_correct_start_flag,glob_h,glob_reached_optimal_h;
> if (glob_iolevel >= 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)
> fi;
> # End Function number 1
> 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
> # Begin Function number 2
> logitem_time := proc(fd,secs_in)
> global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century;
> local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int;
> secs := (secs_in);
> if (secs > 0.0) then # if number 1
> sec_in_millinium := convfloat(sec_in_min * min_in_hour * hours_in_day * days_in_year * years_in_century * centuries_in_millinium);
> milliniums := convfloat(secs / sec_in_millinium);
> millinium_int := floor(milliniums);
> centuries := (milliniums - millinium_int)*centuries_in_millinium;
> cent_int := floor(centuries);
> years := (centuries - cent_int) * years_in_century;
> years_int := floor(years);
> days := (years - years_int) * days_in_year;
> days_int := floor(days);
> hours := (days - days_int) * hours_in_day;
> hours_int := floor(hours);
> minutes := (hours - hours_int) * min_in_hour;
> minutes_int := floor(minutes);
> seconds := (minutes - minutes_int) * sec_in_min;
> sec_int := floor(seconds);
> fprintf(fd,"
");
> if (millinium_int > 0) then # if number 2
> fprintf(fd,"%d Millinia %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds",millinium_int,cent_int,years_int,days_int,hours_int,minutes_int,sec_int);
> elif (cent_int > 0) then # if number 3
> fprintf(fd,"%d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds",cent_int,years_int,days_int,hours_int,minutes_int,sec_int);
> elif (years_int > 0) then # if number 4
> 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 5
> 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 6
> fprintf(fd,"%d Hours %d Minutes %d Seconds",hours_int,minutes_int,sec_int);
> elif (minutes_int > 0) then # if number 7
> fprintf(fd,"%d Minutes %d Seconds",minutes_int,sec_int);
> else
> fprintf(fd,"%d Seconds",sec_int);
> fi;# end if 7
> else
> fprintf(fd,"Unknown");
> fi;# end if 6
> fprintf(fd," | ");
> # End Function number 2
> end;
logitem_time := proc(fd, secs_in)
local cent_int, centuries, days, days_int, hours, hours_int, millinium_int,
milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs,
years, years_int;
global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour,
sec_in_min, years_in_century;
secs := secs_in;
if 0. < secs then
sec_in_millinium := convfloat(sec_in_min*min_in_hour*hours_in_day*
days_in_year*years_in_century*centuries_in_millinium);
milliniums := convfloat(secs/sec_in_millinium);
millinium_int := floor(milliniums);
centuries := (milliniums - millinium_int)*centuries_in_millinium;
cent_int := floor(centuries);
years := (centuries - cent_int)*years_in_century;
years_int := floor(years);
days := (years - years_int)*days_in_year;
days_int := floor(days);
hours := (days - days_int)*hours_in_day;
hours_int := floor(hours);
minutes := (hours - hours_int)*min_in_hour;
minutes_int := floor(minutes);
seconds := (minutes - minutes_int)*sec_in_min;
sec_int := floor(seconds);
fprintf(fd, "");
if 0 < millinium_int then fprintf(fd, "%d Millinia %d Centuries %\
d Years %d Days %d Hours %d Minutes %d Seconds", millinium_int,
cent_int, years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < cent_int then fprintf(fd,
"%d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds",
cent_int, years_int, days_int, hours_int, minutes_int, sec_int)
elif 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, " | ")
end proc
> omniout_timestr := proc (secs_in)
> global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century;
> local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int;
> secs := convfloat(secs_in);
> if (secs > 0.0) then # if number 6
> sec_in_millinium := convfloat(sec_in_min * min_in_hour * hours_in_day * days_in_year * years_in_century * centuries_in_millinium);
> milliniums := convfloat(secs / sec_in_millinium);
> millinium_int := floor(milliniums);
> centuries := (milliniums - millinium_int)*centuries_in_millinium;
> cent_int := floor(centuries);
> years := (centuries - cent_int) * years_in_century;
> years_int := floor(years);
> days := (years - years_int) * days_in_year;
> days_int := floor(days);
> hours := (days - days_int) * hours_in_day;
> hours_int := floor(hours);
> minutes := (hours - hours_int) * min_in_hour;
> minutes_int := floor(minutes);
> seconds := (minutes - minutes_int) * sec_in_min;
> sec_int := floor(seconds);
>
> if (millinium_int > 0) then # if number 7
> printf(" = %d Millinia %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds\n",millinium_int,cent_int,years_int,days_int,hours_int,minutes_int,sec_int);
> elif (cent_int > 0) then # if number 8
> printf(" = %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds\n",cent_int,years_int,days_int,hours_int,minutes_int,sec_int);
> elif (years_int > 0) then # if number 9
> 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 10
> 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 11
> printf(" = %d Hours %d Minutes %d Seconds\n",hours_int,minutes_int,sec_int);
> elif (minutes_int > 0) then # if number 12
> printf(" = %d Minutes %d Seconds\n",minutes_int,sec_int);
> else
> printf(" = %d Seconds\n",sec_int);
> fi;# end if 12
> else
> printf(" Unknown\n");
> fi;# end if 11
> # End Function number 2
> end;
omniout_timestr := proc(secs_in)
local cent_int, centuries, days, days_int, hours, hours_int, millinium_int,
milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs,
years, years_int;
global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour,
sec_in_min, years_in_century;
secs := convfloat(secs_in);
if 0. < secs then
sec_in_millinium := convfloat(sec_in_min*min_in_hour*hours_in_day*
days_in_year*years_in_century*centuries_in_millinium);
milliniums := convfloat(secs/sec_in_millinium);
millinium_int := floor(milliniums);
centuries := (milliniums - millinium_int)*centuries_in_millinium;
cent_int := floor(centuries);
years := (centuries - cent_int)*years_in_century;
years_int := floor(years);
days := (years - years_int)*days_in_year;
days_int := floor(days);
hours := (days - days_int)*hours_in_day;
hours_int := floor(hours);
minutes := (hours - hours_int)*min_in_hour;
minutes_int := floor(minutes);
seconds := (minutes - minutes_int)*sec_in_min;
sec_int := floor(seconds);
if 0 < millinium_int then printf(" = %d Millinia %d Centuries %d\
Years %d Days %d Hours %d Minutes %d Seconds\n", millinium_int,
cent_int, years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < cent_int then printf(" = %d Centuries %d Years %d Days \
%d Hours %d Minutes %d Seconds\n", cent_int, years_int,
days_int, hours_int, minutes_int, sec_int)
elif 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
>
> # Begin Function number 3
> ats := proc(
> mmm_ats,array_a,array_b,jjj_ats)
> local iii_ats, lll_ats,ma_ats, ret_ats;
> ret_ats := 0.0;
> if (jjj_ats <= mmm_ats) then # if number 11
> 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 + array_a[iii_ats]*array_b[lll_ats];
> iii_ats := iii_ats + 1;
> od;# end do number 1
> fi;# end if 11
> ;
> ret_ats
> # End Function number 3
> end;
ats := proc(mmm_ats, array_a, array_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 + array_a[iii_ats]*array_b[lll_ats];
iii_ats := iii_ats + 1
end do
end if;
ret_ats
end proc
>
> # Begin Function number 4
> att := proc(
> mmm_att,array_aa,array_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 11
> 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 12
> ret_att := ret_att + array_aa[iii_att]*array_bb[lll_att]* convfp(al_att);
> fi;# end if 12
> ;
> iii_att := iii_att + 1;
> od;# end do number 1
> ;
> ret_att := ret_att / convfp(mmm_att) ;
> fi;# end if 11
> ;
> ret_att;
> # End Function number 4
> end;
att := proc(mmm_att, array_aa, array_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
+ array_aa[iii_att]*array_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
> # Begin Function number 5
> 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 11
> 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 11
> # End Function number 5
> 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
> # Begin Function number 6
> logditto := proc(file)
> fprintf(file,"");
> fprintf(file,"ditto");
> fprintf(file," | ");
> # End Function number 6
> end;
logditto := proc(file)
fprintf(file, ""); fprintf(file, "ditto"); fprintf(file, " | ")
end proc
> # Begin Function number 7
> logitem_integer := proc(file,n)
> fprintf(file,"");
> fprintf(file,"%d",n);
> fprintf(file," | ");
> # End Function number 7
> end;
logitem_integer := proc(file, n)
fprintf(file, ""); fprintf(file, "%d", n); fprintf(file, " | ")
end proc
> # Begin Function number 8
> logitem_str := proc(file,str)
> fprintf(file,"");
> fprintf(file,str);
> fprintf(file," | ");
> # End Function number 8
> end;
logitem_str := proc(file, str)
fprintf(file, ""); fprintf(file, str); fprintf(file, " | ")
end proc
> # Begin Function number 9
> log_revs := proc(file,revs)
> fprintf(file,revs);
> # End Function number 9
> end;
log_revs := proc(file, revs) fprintf(file, revs) end proc
> # Begin Function number 10
> logitem_float := proc(file,x)
> fprintf(file,"");
> fprintf(file,"%g",x);
> fprintf(file," | ");
> # End Function number 10
> end;
logitem_float := proc(file, x)
fprintf(file, ""); fprintf(file, "%g", x); fprintf(file, " | ")
end proc
> # Begin Function number 11
> logitem_pole := proc(file,pole)
> fprintf(file,"");
> if pole = 0 then # if number 11
> fprintf(file,"NA");
> elif pole = 1 then # if number 12
> fprintf(file,"Real");
> elif pole = 2 then # if number 13
> fprintf(file,"Complex");
> else
> fprintf(file,"No Pole");
> fi;# end if 13
> fprintf(file," | ");
> # End Function number 11
> 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
> # Begin Function number 12
> logstart := proc(file)
> fprintf(file,"");
> # End Function number 12
> end;
logstart := proc(file) fprintf(file, "
") end proc
> # Begin Function number 13
> logend := proc(file)
> fprintf(file,"
\n");
> # End Function number 13
> end;
logend := proc(file) fprintf(file, "\n") end proc
> # Begin Function number 14
> 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 13
> omniout_str(ALWAYS,"Illegal max_terms = -- Using 30");
> glob_max_terms := 30;
> fi;# end if 13
> ;
> if (glob_max_iter < 2) then # if number 13
> omniout_str(ALWAYS,"Illegal max_iter");
> errflag := true;
> fi;# end if 13
> ;
> if (errflag) then # if number 13
>
> quit;
> fi;# end if 13
> # End Function number 14
> 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
>
> # Begin Function number 15
> comp_expect_sec := proc(t_end2,t_start2,t2,clock_sec)
> global glob_small_float;
> local ms2, rrr, sec_left, sub1, sub2;
> ;
> ms2 := clock_sec;
> sub1 := (t_end2-t_start2);
> sub2 := (t2-t_start2);
> if (sub1 = 0.0) then # if number 13
> sec_left := 0.0;
> else
> if (abs(sub2) > 0.0) then # if number 14
> rrr := (sub1/sub2);
> sec_left := rrr * ms2 - ms2;
> else
> sec_left := 0.0;
> fi;# end if 14
> fi;# end if 13
> ;
> sec_left;
> # End Function number 15
> end;
comp_expect_sec := proc(t_end2, t_start2, t2, clock_sec)
local ms2, rrr, sec_left, sub1, sub2;
global glob_small_float;
ms2 := clock_sec;
sub1 := t_end2 - t_start2;
sub2 := t2 - t_start2;
if sub1 = 0. then sec_left := 0.
else
if 0. < abs(sub2) then rrr := sub1/sub2; sec_left := rrr*ms2 - ms2
else sec_left := 0.
end if
end if;
sec_left
end proc
>
> # Begin Function number 16
> 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 (abs(sub2) > glob_small_float) then # if number 13
> rrr := (100.0*sub2)/sub1;
> else
> rrr := 0.0;
> fi;# end if 13
> ;
> rrr
> # End Function number 16
> 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 < abs(sub2) then rrr := 100.0*sub2/sub1
else rrr := 0.
end if;
rrr
end proc
>
> # Begin Function number 17
> factorial_1 := proc(nnn)
> nnn!;
>
> # End Function number 17
> end;
factorial_1 := proc(nnn) nnn! end proc
>
> # Begin Function number 18
> factorial_3 := proc(mmm2,nnn2)
> (mmm2!)/(nnn2!);
>
> # End Function number 18
> end;
factorial_3 := proc(mmm2, nnn2) mmm2!/nnn2! end proc
> # Begin Function number 19
> convfp := proc(mmm)
> (mmm);
>
> # End Function number 19
> end;
convfp := proc(mmm) mmm end proc
> # Begin Function number 20
> convfloat := proc(mmm)
> (mmm);
>
> # End Function number 20
> end;
convfloat := proc(mmm) mmm end proc
> elapsed_time_seconds := proc()
> time();
> end;
elapsed_time_seconds := proc() time() end proc
>
>
>
> #END ATS LIBRARY BLOCK
> #BEGIN USER DEF BLOCK
> #BEGIN USER DEF BLOCK
> exact_soln_y := proc(x)
> 1.0/x/x/x;
> end;
exact_soln_y := proc(x) 1.0/(x*x*x) end proc
>
>
> #END USER DEF BLOCK
> #END USER DEF BLOCK
> #END OUTFILE5
> # Begin Function number 2
> mainprog := proc()
> #BEGIN OUTFIEMAIN
> local d1,d2,d3,d4,est_err_2,niii,done_once,
> term,ord,order_diff,term_no,html_log_file,
> rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter,
> x_start,x_end
> ,it, log10norm, max_terms, opt_iter, tmp;
> #Top Generate Globals Definition
> #Bottom Generate Globals Deninition
> global
> glob_max_terms,
> DEBUGL,
> INFO,
> glob_iolevel,
> DEBUGMASSIVE,
> ALWAYS,
> #Top Generate Globals Decl
> glob_log10abserr,
> glob_large_float,
> glob_hmin_init,
> glob_disp_incr,
> glob_not_yet_finished,
> years_in_century,
> sec_in_min,
> glob_dump,
> glob_max_opt_iter,
> glob_subiter_method,
> glob_max_sec,
> glob_look_poles,
> glob_optimal_expect_sec,
> glob_no_eqs,
> glob_max_hours,
> glob_current_iter,
> glob_start,
> glob_smallish_float,
> glob_clock_start_sec,
> centuries_in_millinium,
> min_in_hour,
> djd_debug2,
> glob_normmax,
> glob_max_rel_trunc_err,
> glob_reached_optimal_h,
> days_in_year,
> glob_log10relerr,
> MAX_UNCHANGED,
> glob_log10_relerr,
> glob_dump_analytic,
> glob_last_good_h,
> glob_almost_1,
> hours_in_day,
> djd_debug,
> glob_html_log,
> glob_warned2,
> glob_optimal_clock_start_sec,
> glob_max_iter,
> glob_display_flag,
> glob_log10normmin,
> glob_curr_iter_when_opt,
> glob_orig_start_sec,
> glob_warned,
> glob_relerr,
> glob_optimal_done,
> glob_not_yet_start_msg,
> glob_initial_pass,
> glob_max_minutes,
> glob_unchanged_h_cnt,
> glob_clock_sec,
> glob_iter,
> glob_small_float,
> glob_abserr,
> glob_hmax,
> glob_optimal_start,
> glob_max_trunc_err,
> glob_log10_abserr,
> glob_hmin,
> glob_h,
> glob_percent_done,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_3D0,
> array_const_0D0,
> array_const_1,
> #END CONST
> array_1st_rel_error,
> array_m1,
> array_last_rel_error,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_y_init,
> array_type_pole,
> array_y,
> array_x,
> array_norms,
> array_pole,
> array_y_higher_work2,
> array_poles,
> array_real_pole,
> array_y_higher,
> array_complex_pole,
> array_y_set_initial,
> array_y_higher_work,
> glob_last;
> glob_last;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> glob_iolevel := INFO;
> glob_max_terms := 30;
> DEBUGL := 3;
> INFO := 2;
> glob_iolevel := 5;
> DEBUGMASSIVE := 4;
> ALWAYS := 1;
> glob_log10abserr := 0.0;
> glob_large_float := 9.0e100;
> glob_hmin_init := 0.001;
> glob_disp_incr := 0.1;
> glob_not_yet_finished := true;
> years_in_century := 100.0;
> sec_in_min := 60.0;
> glob_dump := false;
> glob_max_opt_iter := 10;
> glob_subiter_method := 3;
> glob_max_sec := 10000.0;
> glob_look_poles := false;
> glob_optimal_expect_sec := 0.1;
> glob_no_eqs := 0;
> glob_max_hours := 0.0;
> glob_current_iter := 0;
> glob_start := 0;
> glob_smallish_float := 0.1e-100;
> glob_clock_start_sec := 0.0;
> centuries_in_millinium := 10.0;
> min_in_hour := 60.0;
> djd_debug2 := true;
> glob_normmax := 0.0;
> glob_max_rel_trunc_err := 0.1e-10;
> glob_reached_optimal_h := false;
> days_in_year := 365.0;
> glob_log10relerr := 0.0;
> MAX_UNCHANGED := 10;
> glob_log10_relerr := 0.1e-10;
> glob_dump_analytic := false;
> glob_last_good_h := 0.1;
> glob_almost_1 := 0.9990;
> hours_in_day := 24.0;
> djd_debug := true;
> glob_html_log := true;
> glob_warned2 := false;
> glob_optimal_clock_start_sec := 0.0;
> glob_max_iter := 1000;
> glob_display_flag := true;
> glob_log10normmin := 0.1;
> glob_curr_iter_when_opt := 0;
> glob_orig_start_sec := 0.0;
> glob_warned := false;
> glob_relerr := 0.1e-10;
> glob_optimal_done := false;
> glob_not_yet_start_msg := true;
> glob_initial_pass := true;
> glob_max_minutes := 0.0;
> glob_unchanged_h_cnt := 0;
> glob_clock_sec := 0.0;
> glob_iter := 0;
> glob_small_float := 0.1e-50;
> glob_abserr := 0.1e-10;
> glob_hmax := 1.0;
> glob_optimal_start := 0.0;
> glob_max_trunc_err := 0.1e-10;
> glob_log10_abserr := 0.1e-10;
> glob_hmin := 0.00000000001;
> glob_h := 0.1;
> glob_percent_done := 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/sing5postode.ode#################");
> omniout_str(ALWAYS,"diff ( y , x , 1 ) = m1 * 3.0 / x / x / x / x ;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"Digits := 32;");
> omniout_str(ALWAYS,"max_terms := 30;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#END FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"x_start := -1.0;");
> omniout_str(ALWAYS,"x_end := -0.7;");
> omniout_str(ALWAYS,"array_y_init[0 + 1] := exact_soln_y(x_start);");
> omniout_str(ALWAYS,"glob_h := 0.00001;");
> 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_h := 0.0001 ;");
> omniout_str(ALWAYS,"glob_look_poles := true;");
> omniout_str(ALWAYS,"glob_max_iter := 1000;");
> omniout_str(ALWAYS,"glob_max_minutes := 15;");
> 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,"1.0/x/x/x;");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"");
> omniout_str(ALWAYS,"");
> omniout_str(ALWAYS,"#END USER DEF BLOCK");
> omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################");
> glob_unchanged_h_cnt := 0;
> glob_warned := false;
> glob_warned2 := false;
> glob_small_float := 1.0e-200;
> glob_smallish_float := 1.0e-64;
> glob_large_float := 1.0e100;
> glob_almost_1 := 0.99;
> glob_log10_abserr := -8.0;
> glob_log10_relerr := -8.0;
> glob_hmax := 0.01;
> #BEGIN FIRST INPUT BLOCK
> #BEGIN FIRST INPUT BLOCK
> Digits := 32;
> max_terms := 30;
> #END FIRST INPUT BLOCK
> #START OF INITS AFTER INPUT BLOCK
> glob_max_terms := max_terms;
> glob_html_log := true;
> #END OF INITS AFTER INPUT BLOCK
> array_1st_rel_error:= Array(1..(max_terms + 1),[]);
> array_m1:= Array(1..(max_terms + 1),[]);
> array_last_rel_error:= Array(1..(max_terms + 1),[]);
> array_tmp0:= Array(1..(max_terms + 1),[]);
> array_tmp1:= Array(1..(max_terms + 1),[]);
> array_tmp2:= Array(1..(max_terms + 1),[]);
> array_tmp3:= Array(1..(max_terms + 1),[]);
> array_tmp4:= Array(1..(max_terms + 1),[]);
> array_tmp5:= Array(1..(max_terms + 1),[]);
> array_tmp6:= Array(1..(max_terms + 1),[]);
> array_y_init:= Array(1..(max_terms + 1),[]);
> array_type_pole:= Array(1..(max_terms + 1),[]);
> array_y:= Array(1..(max_terms + 1),[]);
> array_x:= Array(1..(max_terms + 1),[]);
> array_norms:= Array(1..(max_terms + 1),[]);
> array_pole:= Array(1..(max_terms + 1),[]);
> array_y_higher_work2 := Array(1..(2+ 1) ,(1..max_terms+ 1),[]);
> array_poles := Array(1..(1+ 1) ,(1..3+ 1),[]);
> array_real_pole := Array(1..(1+ 1) ,(1..3+ 1),[]);
> array_y_higher := Array(1..(2+ 1) ,(1..max_terms+ 1),[]);
> array_complex_pole := Array(1..(1+ 1) ,(1..3+ 1),[]);
> array_y_set_initial := Array(1..(2+ 1) ,(1..max_terms+ 1),[]);
> array_y_higher_work := Array(1..(2+ 1) ,(1..max_terms+ 1),[]);
> 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_m1[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_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_y_init[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_norms[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
> ;
> 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 <=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 <=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 <=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 <=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 <=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
> ;
> #BEGIN ARRAYS DEFINED AND INITIALIZATED
> 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_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_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_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_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_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_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_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_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_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_const_3D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_const_3D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_const_3D0[1] := 3.0;
> array_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_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_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
> #TOP SECOND INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> #END FIRST INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> x_start := -1.0;
> x_end := -0.7;
> array_y_init[0 + 1] := exact_soln_y(x_start);
> glob_h := 0.00001;
> glob_look_poles := true;
> glob_max_iter := 100;
> #END SECOND INPUT BLOCK
> #BEGIN OVERRIDE BLOCK
> glob_h := 0.0001 ;
> glob_look_poles := true;
> glob_max_iter := 1000;
> glob_max_minutes := 15;
> #END OVERRIDE BLOCK
> #END SECOND INPUT BLOCK
> #BEGIN INITS AFTER SECOND INPUT BLOCK
> glob_last_good_h := glob_h;
> glob_max_terms := max_terms;
> glob_max_sec := convfloat(60.0) * convfloat(glob_max_minutes) + convfloat(3600.0) * convfloat(glob_max_hours);
> glob_abserr := 10.0 ^ (glob_log10_abserr);
> glob_relerr := 10.0 ^ (glob_log10_relerr);
> 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;
> if glob_html_log then # if number 2
> html_log_file := fopen("html/entry.html",WRITE,TEXT);
> fi;# end if 2
> ;
> #BEGIN SOLUTION CODE
> omniout_str(ALWAYS,"START of Soultion");
> #Start Series -- INITIALIZE FOR SOLUTION
> array_x[1] := x_start;
> array_x[2] := glob_h;
> 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] * 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]* (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();
> start_array_y();
> if (abs(array_y_higher[1,1]) > glob_small_float) then # if number 2
> tmp := abs(array_y_higher[1,1]);
> log10norm := (log10(tmp));
> if (log10norm < glob_log10normmin) then # if number 3
> glob_log10normmin := log10norm;
> fi;# end if 3
> fi;# end if 2
> ;
> display_alot(current_iter)
> ;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := 0;
> glob_iter := 0;
> omniout_str(DEBUGL," ");
> glob_reached_optimal_h := true;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> while ((glob_current_iter < glob_max_iter) and (array_x[1] <= x_end ) and ((convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec)) < convfloat(glob_max_sec))) do # do number 2
> #left paren 0001C
> omniout_str(INFO," ");
> omniout_str(INFO,"TOP MAIN SOLVE Loop");
> glob_iter := glob_iter + 1;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := glob_current_iter + 1;
> atomall();
> if (glob_look_poles) then # if number 2
> #left paren 0004C
> check_for_pole();
> fi;# end if 2
> ;#was right paren 0004C
> array_x[1] := array_x[1] + glob_h;
> array_x[2] := glob_h;
> #Jump Series array_y
> order_diff := 1;
> #START PART 1 SUM AND ADJUST
> #START SUM AND ADJUST EQ =1
> #sum_and_adjust array_y
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 2;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[2,iii] := array_y_higher[2,iii] / (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 * (glob_h ^ (calc_term - 1)) / (convfp(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] / (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 * (glob_h ^ (calc_term - 1)) / (convfp(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] / (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 * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #END SUM AND ADJUST EQ =1
> #END PART 1
> #START PART 2 MOVE TERMS to REGULAR Array
> term_no := glob_max_terms;
> while (term_no >= 1) do # do number 3
> array_y[term_no] := array_y_higher_work2[1,term_no];
> ord := 1;
> while ord <= order_diff do # do number 4
> array_y_higher[ord,term_no] := array_y_higher_work2[ord,term_no];
> ord := ord + 1;
> od;# end do number 4
> ;
> term_no := term_no - 1;
> od;# end do number 3
> ;
> #END PART 2 HEVE MOVED TERMS to REGULAR Array
> display_alot(current_iter)
> ;
> od;# end do number 2
> ;#right paren 0001C
> omniout_str(ALWAYS,"Finished!");
> if (glob_iter >= glob_max_iter) then # if number 2
> omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!")
> fi;# end if 2
> ;
> if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 2
> omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!")
> fi;# end if 2
> ;
> glob_clock_sec := elapsed_time_seconds();
> omniout_str(INFO,"diff ( y , x , 1 ) = m1 * 3.0 / x / x / x / x ;");
> omniout_int(INFO,"Iterations ",32,glob_iter,4," ")
> ;
> prog_report(x_start,x_end);
> if glob_html_log then # if number 2
> logstart(html_log_file);
> logitem_str(html_log_file,"2012-06-13T18:59:17-05:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> logitem_str(html_log_file,"sing5")
> ;
> logitem_str(html_log_file,"diff ( y , x , 1 ) = m1 * 3.0 / x / x / x / x ;")
> ;
> 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_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 3
> 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 3
> ;
> logitem_time(html_log_file,convfloat(glob_clock_sec))
> ;
> if glob_percent_done < 100.0 then # if number 3
> logitem_time(html_log_file,convfloat(glob_optimal_expect_sec))
> ;
> 0
> else
> logitem_str(html_log_file,"Done")
> ;
> 0
> fi;# end if 3
> ;
> log_revs(html_log_file," 090 | ")
> ;
> logitem_str(html_log_file,"sing5 diffeq.mxt")
> ;
> logitem_str(html_log_file,"sing5 maple results")
> ;
> logitem_str(html_log_file,"Test of revised logic - mostly affecting systems of eqs")
> ;
> logend(html_log_file)
> ;
> ;
> fi;# end if 2
> ;
> if glob_html_log then # if number 2
> fclose(html_log_file);
> fi;# end if 2
> ;
> ;;
> #END OUTFILEMAIN
> # End Function number 8
> end;
mainprog := proc()
local d1, d2, d3, d4, est_err_2, niii, done_once, term, ord, order_diff,
term_no, html_log_file, rows, r_order, sub_iter, calc_term, iii, temp_sum,
current_iter, x_start, x_end, it, log10norm, max_terms, opt_iter, tmp;
global glob_max_terms, DEBUGL, INFO, glob_iolevel, DEBUGMASSIVE, ALWAYS,
glob_log10abserr, glob_large_float, glob_hmin_init, glob_disp_incr,
glob_not_yet_finished, years_in_century, sec_in_min, glob_dump,
glob_max_opt_iter, glob_subiter_method, glob_max_sec, glob_look_poles,
glob_optimal_expect_sec, glob_no_eqs, glob_max_hours, glob_current_iter,
glob_start, glob_smallish_float, glob_clock_start_sec,
centuries_in_millinium, min_in_hour, djd_debug2, glob_normmax,
glob_max_rel_trunc_err, glob_reached_optimal_h, days_in_year,
glob_log10relerr, MAX_UNCHANGED, glob_log10_relerr, glob_dump_analytic,
glob_last_good_h, glob_almost_1, hours_in_day, djd_debug, glob_html_log,
glob_warned2, glob_optimal_clock_start_sec, glob_max_iter,
glob_display_flag, glob_log10normmin, glob_curr_iter_when_opt,
glob_orig_start_sec, glob_warned, glob_relerr, glob_optimal_done,
glob_not_yet_start_msg, glob_initial_pass, glob_max_minutes,
glob_unchanged_h_cnt, glob_clock_sec, glob_iter, glob_small_float,
glob_abserr, glob_hmax, glob_optimal_start, glob_max_trunc_err,
glob_log10_abserr, glob_hmin, glob_h, glob_percent_done, array_const_3D0,
array_const_0D0, array_const_1, array_1st_rel_error, array_m1,
array_last_rel_error, array_tmp0, array_tmp1, array_tmp2, array_tmp3,
array_tmp4, array_tmp5, array_tmp6, array_y_init, array_type_pole, array_y,
array_x, array_norms, array_pole, array_y_higher_work2, array_poles,
array_real_pole, array_y_higher, array_complex_pole, array_y_set_initial,
array_y_higher_work, glob_last;
glob_last;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
glob_iolevel := INFO;
glob_max_terms := 30;
DEBUGL := 3;
INFO := 2;
glob_iolevel := 5;
DEBUGMASSIVE := 4;
ALWAYS := 1;
glob_log10abserr := 0.;
glob_large_float := 0.90*10^101;
glob_hmin_init := 0.001;
glob_disp_incr := 0.1;
glob_not_yet_finished := true;
years_in_century := 100.0;
sec_in_min := 60.0;
glob_dump := false;
glob_max_opt_iter := 10;
glob_subiter_method := 3;
glob_max_sec := 10000.0;
glob_look_poles := false;
glob_optimal_expect_sec := 0.1;
glob_no_eqs := 0;
glob_max_hours := 0.;
glob_current_iter := 0;
glob_start := 0;
glob_smallish_float := 0.1*10^(-100);
glob_clock_start_sec := 0.;
centuries_in_millinium := 10.0;
min_in_hour := 60.0;
djd_debug2 := true;
glob_normmax := 0.;
glob_max_rel_trunc_err := 0.1*10^(-10);
glob_reached_optimal_h := false;
days_in_year := 365.0;
glob_log10relerr := 0.;
MAX_UNCHANGED := 10;
glob_log10_relerr := 0.1*10^(-10);
glob_dump_analytic := false;
glob_last_good_h := 0.1;
glob_almost_1 := 0.9990;
hours_in_day := 24.0;
djd_debug := true;
glob_html_log := true;
glob_warned2 := false;
glob_optimal_clock_start_sec := 0.;
glob_max_iter := 1000;
glob_display_flag := true;
glob_log10normmin := 0.1;
glob_curr_iter_when_opt := 0;
glob_orig_start_sec := 0.;
glob_warned := false;
glob_relerr := 0.1*10^(-10);
glob_optimal_done := false;
glob_not_yet_start_msg := true;
glob_initial_pass := true;
glob_max_minutes := 0.;
glob_unchanged_h_cnt := 0;
glob_clock_sec := 0.;
glob_iter := 0;
glob_small_float := 0.1*10^(-50);
glob_abserr := 0.1*10^(-10);
glob_hmax := 1.0;
glob_optimal_start := 0.;
glob_max_trunc_err := 0.1*10^(-10);
glob_log10_abserr := 0.1*10^(-10);
glob_hmin := 0.1*10^(-10);
glob_h := 0.1;
glob_percent_done := 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/sing5postode.ode#################");
omniout_str(ALWAYS, "diff ( y , x , 1 ) = m1 * 3.0 / x / x / x / x ;")
;
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK");
omniout_str(ALWAYS, "Digits := 32;");
omniout_str(ALWAYS, "max_terms := 30;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#END FIRST INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK");
omniout_str(ALWAYS, "x_start := -1.0;");
omniout_str(ALWAYS, "x_end := -0.7;");
omniout_str(ALWAYS, "array_y_init[0 + 1] := exact_soln_y(x_start);");
omniout_str(ALWAYS, "glob_h := 0.00001;");
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_h := 0.0001 ;");
omniout_str(ALWAYS, "glob_look_poles := true;");
omniout_str(ALWAYS, "glob_max_iter := 1000;");
omniout_str(ALWAYS, "glob_max_minutes := 15;");
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, "1.0/x/x/x;");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "");
omniout_str(ALWAYS, "");
omniout_str(ALWAYS, "#END USER DEF BLOCK");
omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################");
glob_unchanged_h_cnt := 0;
glob_warned := false;
glob_warned2 := false;
glob_small_float := 0.10*10^(-199);
glob_smallish_float := 0.10*10^(-63);
glob_large_float := 0.10*10^101;
glob_almost_1 := 0.99;
glob_log10_abserr := -8.0;
glob_log10_relerr := -8.0;
glob_hmax := 0.01;
Digits := 32;
max_terms := 30;
glob_max_terms := max_terms;
glob_html_log := true;
array_1st_rel_error := Array(1 .. max_terms + 1, []);
array_m1 := Array(1 .. max_terms + 1, []);
array_last_rel_error := Array(1 .. max_terms + 1, []);
array_tmp0 := Array(1 .. max_terms + 1, []);
array_tmp1 := Array(1 .. max_terms + 1, []);
array_tmp2 := Array(1 .. max_terms + 1, []);
array_tmp3 := Array(1 .. max_terms + 1, []);
array_tmp4 := Array(1 .. max_terms + 1, []);
array_tmp5 := Array(1 .. max_terms + 1, []);
array_tmp6 := Array(1 .. max_terms + 1, []);
array_y_init := Array(1 .. max_terms + 1, []);
array_type_pole := Array(1 .. max_terms + 1, []);
array_y := Array(1 .. max_terms + 1, []);
array_x := Array(1 .. max_terms + 1, []);
array_norms := Array(1 .. max_terms + 1, []);
array_pole := Array(1 .. max_terms + 1, []);
array_y_higher_work2 := Array(1 .. 3, 1 .. max_terms + 1, []);
array_poles := Array(1 .. 2, 1 .. 4, []);
array_real_pole := Array(1 .. 2, 1 .. 4, []);
array_y_higher := Array(1 .. 3, 1 .. max_terms + 1, []);
array_complex_pole := Array(1 .. 2, 1 .. 4, []);
array_y_set_initial := Array(1 .. 3, 1 .. max_terms + 1, []);
array_y_higher_work := Array(1 .. 3, 1 .. max_terms + 1, []);
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_m1[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_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_y_init[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_norms[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_pole[term] := 0.; term := term + 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 <= 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 <= 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 <= 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 <= 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 <= 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;
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_tmp6 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp6[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_tmp4 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp4[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_tmp2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp2[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_tmp0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp0[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_y := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_y[term] := 0.; term := term + 1
end do;
array_const_3D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_3D0[term] := 0.; term := term + 1
end do;
array_const_3D0[1] := 3.0;
array_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_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_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;
x_start := -1.0;
x_end := -0.7;
array_y_init[1] := exact_soln_y(x_start);
glob_h := 0.00001;
glob_look_poles := true;
glob_max_iter := 100;
glob_h := 0.0001;
glob_look_poles := true;
glob_max_iter := 1000;
glob_max_minutes := 15;
glob_last_good_h := glob_h;
glob_max_terms := max_terms;
glob_max_sec := convfloat(60.0)*convfloat(glob_max_minutes)
+ convfloat(3600.0)*convfloat(glob_max_hours);
glob_abserr := 10.0^glob_log10_abserr;
glob_relerr := 10.0^glob_log10_relerr;
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;
if glob_html_log then
html_log_file := fopen("html/entry.html", WRITE, TEXT)
end if;
omniout_str(ALWAYS, "START of Soultion");
array_x[1] := x_start;
array_x[2] := glob_h;
order_diff := 1;
term_no := 1;
while term_no <= order_diff do
array_y[term_no] := array_y_init[term_no]*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]*
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();
start_array_y();
if glob_small_float < abs(array_y_higher[1, 1]) then
tmp := abs(array_y_higher[1, 1]);
log10norm := log10(tmp);
if log10norm < glob_log10normmin then
glob_log10normmin := log10norm
end if
end if;
display_alot(current_iter);
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := 0;
glob_iter := 0;
omniout_str(DEBUGL, " ");
glob_reached_optimal_h := true;
glob_optimal_clock_start_sec := elapsed_time_seconds();
while glob_current_iter < glob_max_iter and array_x[1] <= x_end and
convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) <
convfloat(glob_max_sec) do
omniout_str(INFO, " ");
omniout_str(INFO, "TOP MAIN SOLVE Loop");
glob_iter := glob_iter + 1;
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := glob_current_iter + 1;
atomall();
if glob_look_poles then check_for_pole() end if;
array_x[1] := array_x[1] + glob_h;
array_x[2] := glob_h;
order_diff := 1;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[2, iii] := array_y_higher[2, iii]/(
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*glob_h^(calc_term - 1)/convfp(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]/(
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*glob_h^(calc_term - 1)/convfp(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]/(
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*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
term_no := glob_max_terms;
while 1 <= term_no do
array_y[term_no] := array_y_higher_work2[1, term_no];
ord := 1;
while ord <= order_diff do
array_y_higher[ord, term_no] :=
array_y_higher_work2[ord, term_no];
ord := ord + 1
end do;
term_no := term_no - 1
end do;
display_alot(current_iter)
end do;
omniout_str(ALWAYS, "Finished!");
if glob_max_iter <= glob_iter then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!")
end if;
if convfloat(glob_max_sec) <=
elapsed_time_seconds() - convfloat(glob_orig_start_sec) then
omniout_str(ALWAYS,
"Maximum Time Reached before Solution Completed!")
end if;
glob_clock_sec := elapsed_time_seconds();
omniout_str(INFO, "diff ( y , x , 1 ) = m1 * 3.0 / x / x / x / x ;");
omniout_int(INFO, "Iterations ", 32, glob_iter, 4,
" ");
prog_report(x_start, x_end);
if glob_html_log then
logstart(html_log_file);
logitem_str(html_log_file, "2012-06-13T18:59:17-05:00");
logitem_str(html_log_file, "Maple");
logitem_str(html_log_file, "sing5");
logitem_str(html_log_file,
"diff ( y , x , 1 ) = m1 * 3.0 / x / x / x / x ;");
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_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_optimal_expect_sec))
;
0
else logitem_str(html_log_file, "Done"); 0
end if;
log_revs(html_log_file, " 090 | ");
logitem_str(html_log_file,
"sing5 diffeq.mxt");
logitem_str(html_log_file,
"sing5 maple results");
logitem_str(html_log_file,
"Test of revised logic - mostly affecting systems of eqs");
logend(html_log_file)
end if;
if glob_html_log then fclose(html_log_file) end if
end proc
> mainprog();
##############ECHO OF PROBLEM#################
##############temp/sing5postode.ode#################
diff ( y , x , 1 ) = m1 * 3.0 / x / x / x / x ;
!
#BEGIN FIRST INPUT BLOCK
Digits := 32;
max_terms := 30;
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start := -1.0;
x_end := -0.7;
array_y_init[0 + 1] := exact_soln_y(x_start);
glob_h := 0.00001;
glob_look_poles := true;
glob_max_iter := 100;
#END SECOND INPUT BLOCK
#BEGIN OVERRIDE BLOCK
glob_h := 0.0001 ;
glob_look_poles := true;
glob_max_iter := 1000;
glob_max_minutes := 15;
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
exact_soln_y := proc(x)
1.0/x/x/x;
end;
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Soultion
x[1] = -1
y[1] (analytic) = -1
y[1] (numeric) = -1
absolute error = 0
relative error = 0 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.011
Order of pole = 5.626
x[1] = -0.9999
y[1] (analytic) = -1.0003000600100015002100280036005
y[1] (numeric) = -1.0003000600100015002110081764288
absolute error = 9.801728283e-22
relative error = 9.7987880585571467617169999999995e-20 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.011
Order of pole = 5.626
x[1] = -0.9998
y[1] (analytic) = -1.0006002400800240067217924609153
y[1] (numeric) = -1.000600240080024006723753689186
absolute error = 1.9612282707e-21
relative error = 1.9600517690692826578343999999999e-19 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.011
Order of pole = 5.626
x[1] = -0.9997
y[1] (analytic) = -1.0009005402701215510504198761535
y[1] (numeric) = -1.000900540270121551053363043364
absolute error = 2.9431672105e-21
relative error = 2.9405191545862313203165000000001e-19 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.011
Order of pole = 5.626
x[1] = -0.9996
y[1] (analytic) = -1.0012009606403842151547470119056
y[1] (numeric) = -1.0012009606403842151586730024372
absolute error = 3.9259905316e-21
relative error = 3.9212812271862717739776000000001e-19 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.011
Order of pole = 5.626
x[1] = -0.9995
y[1] (analytic) = -1.0015015012509381566877814258887
y[1] (numeric) = -1.0015015012509381566926911250079
absolute error = 4.9096991192e-21
relative error = 4.9023382521818270101000000000002e-19 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.011
Order of pole = 5.626
x[1] = -0.9994
y[1] (analytic) = -1.0018021621619456342673765259818
y[1] (numeric) = -1.0018021621619456342732708198412
absolute error = 5.8942938594e-21
relative error = 5.8836904950172806783696000000004e-19 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.011
Order of pole = 5.626
x[1] = -0.9993
y[1] (analytic) = -1.0021029434336050327671393511817
y[1] (numeric) = -1.0021029434336050327740191268209
absolute error = 6.8797756392e-21
relative error = 6.8653382212681065797544000000004e-19 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.011
Order of pole = 5.626
x[1] = -0.9992
y[1] (analytic) = -1.0024038451261508886275893043363
y[1] (numeric) = -1.0024038451261508886354554496828
absolute error = 7.8661453465e-21
relative error = 7.8472816966399988625919999999998e-19 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.01
Order of pole = 5.626
x[1] = -0.9991
y[1] (analytic) = -1.0027048672998539151875860807557
y[1] (numeric) = -1.0027048672998539151964394846262
absolute error = 8.8534038705e-21
relative error = 8.8295211873669238934054999999992e-19 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.01
Order of pole = 5.626
x[1] = -0.999
y[1] (analytic) = -1.0030060100150210280360450550661
y[1] (numeric) = -1.0030060100150210280458866071674
absolute error = 9.8415521013e-21
relative error = 9.8120569598108517986999999999998e-19 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.01
Order of pole = 5.626
x[1] = -0.9989
y[1] (analytic) = -1.003307273331995370383958406955
y[1] (numeric) = -1.0033072733319953703947889978847
absolute error = 1.08305909297e-20
relative error = 1.0794889280261548283569300000000e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.01
Order of pole = 5.626
x[1] = -0.9988
y[1] (analytic) = -1.0036086573111563384567402847603
y[1] (numeric) = -1.0036086573111563384685608060081
absolute error = 1.18205212478e-20
relative error = 1.1778018415533849779801600000001e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3.8MB, alloc=3.1MB, time=0.20
Real estimate of pole used
Radius of convergence = 1.01
Order of pole = 5.626
x[1] = -0.9987
y[1] (analytic) = -1.0039101620129196069069143241831
y[1] (numeric) = -1.0039101620129196069197256681314
absolute error = 1.28113439483e-20
relative error = 1.2761444632268925226584900000001e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.01
Order of pole = 5.626
x[1] = -0.9986
y[1] (analytic) = -1.004211787497737154247161857745
y[1] (numeric) = -1.0042117874977371542609649176702
absolute error = 1.38030599252e-20
relative error = 1.3745168197630923741251200000000e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.01
Order of pole = 5.626
x[1] = -0.9985
y[1] (analytic) = -1.0045135338260972883037491689787
y[1] (numeric) = -1.0045135338260972883185448390522
absolute error = 1.47956700735e-20
relative error = 1.4729189379006859626937500000000e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.01
Order of pole = 5.626
x[1] = -0.9984
y[1] (analytic) = -1.004815401058524671690352163725
y[1] (numeric) = -1.004815401058524671706141339014
absolute error = 1.57891752890e-20
relative error = 1.5713508443806557536255999999999e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.01
Order of pole = 5.626
x[1] = -0.9983
y[1] (analytic) = -1.0051173892555803473022968493139
y[1] (numeric) = -1.0051173892555803473190804257827
absolute error = 1.67835764688e-20
relative error = 1.6698125659959393304785600000002e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.01
Order of pole = 5.626
x[1] = -0.9982
y[1] (analytic) = -1.0054194984778617638312340308354
y[1] (numeric) = -1.0054194984778617638490129053458
absolute error = 1.77788745104e-20
relative error = 1.7683041295017684943347200000002e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.009
Order of pole = 5.626
x[1] = -0.9981
y[1] (analytic) = -1.005721728786002801300266652148
y[1] (numeric) = -1.0057217287860028013190417224607
absolute error = 1.87750703127e-20
relative error = 1.8668255617150889266190699999999e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.009
Order of pole = 5.626
x[1] = -0.998
y[1] (analytic) = -1.0060240802406737966195482277442
y[1] (numeric) = -1.0060240802406737966393203925201
absolute error = 1.97721647759e-20
relative error = 1.9653768895044592592799999999998e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.009
Order of pole = 5.626
x[1] = -0.9979
y[1] (analytic) = -1.0063265529025815691623708300762
y[1] (numeric) = -1.0063265529025815691831409888768
absolute error = 2.07701588006e-20
relative error = 2.0639581397004711285643399999998e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.009
Order of pole = 5.626
x[1] = -0.9978
y[1] (analytic) = -1.0066291468324694463617611154506
y[1] (numeric) = -1.0066291468324694463835301687394
absolute error = 2.17690532888e-20
relative error = 2.1625693391950793956857600000000e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.009
Order of pole = 5.626
x[1] = -0.9977
y[1] (analytic) = -1.006931862091117289327602890133
y[1] (numeric) = -1.0069318620911172893503717392761
absolute error = 2.27688491431e-20
relative error = 2.2612105148619923472902300000000e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.009
Order of pole = 5.626
x[1] = -0.9976
y[1] (analytic) = -1.0072346987393415184843047368464
y[1] (numeric) = -1.0072346987393415185080742841139
absolute error = 2.37695472675e-20
relative error = 2.3598816936360560974080000000002e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.009
Order of pole = 5.626
x[1] = -0.9975
y[1] (analytic) = -1.0075376568379951392290312404211
y[1] (numeric) = -1.0075376568379951392538023889876
absolute error = 2.47711485665e-20
relative error = 2.4585829024237675523437499999998e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.009
Order of pole = 5.626
x[1] = -0.9974
y[1] (analytic) = -1.0078407364479677676105163699359
y[1] (numeric) = -1.0078407364479677676362900238823
absolute error = 2.57736539464e-20
relative error = 2.5573141682322371230073600000001e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.009
Order of pole = 5.626
x[1] = -0.9973
y[1] (analytic) = -1.0081439376301856560284775933093
y[1] (numeric) = -1.008143937630185656055254657623
absolute error = 2.67770643137e-20
relative error = 2.6560755180102613732442900000002e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.009
Order of pole = 5.626
x[1] = -0.9972
y[1] (analytic) = -1.0084472604456117189536493189175
y[1] (numeric) = -1.0084472604456117189814306994936
absolute error = 2.77813805761e-20
relative error = 2.7548669787475043465452799999998e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.008
Order of pole = 5.626
x[1] = -0.9971
y[1] (analytic) = -1.0087507049552455586684542774776
y[1] (numeric) = -1.0087507049552455586972408811204
absolute error = 2.87866036428e-20
relative error = 2.8536885775041071599750799999999e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.008
Order of pole = 5.626
x[1] = -0.997
y[1] (analytic) = -1.0090542712201234910283314761
y[1] (numeric) = -1.0090542712201234910581242105234
absolute error = 2.97927344234e-20
relative error = 2.9525403413015002368200000000000e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.008
Order of pole = 5.626
x[1] = -0.9969
y[1] (analytic) = -1.0093579593013185712437393751045
y[1] (numeric) = -1.0093579593013185712745391489333
absolute error = 3.07997738288e-20
relative error = 3.0514222972115582170219200000001e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=7.6MB, alloc=4.1MB, time=0.46
Real estimate of pole used
Radius of convergence = 1.008
Order of pole = 5.626
x[1] = -0.9968
y[1] (analytic) = -1.0096617692599406196828529569112
y[1] (numeric) = -1.009661769259940619714660679682
absolute error = 3.18077227708e-20
relative error = 3.1503344723168379222425600000001e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.008
Order of pole = 5.626
x[1] = -0.9967
y[1] (analytic) = -1.0099657011571362476949733750471
y[1] (numeric) = -1.0099657011571362477277899572093
absolute error = 3.28165821622e-20
relative error = 3.2492768937203945911018599999999e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.008
Order of pole = 5.626
x[1] = -0.9966
y[1] (analytic) = -1.0102697550540888834546688900638
y[1] (numeric) = -1.0102697550540888834884952429808
absolute error = 3.38263529170e-20
relative error = 3.3482495885654786510232000000002e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.008
Order of pole = 5.626
x[1] = -0.9965
y[1] (analytic) = -1.0105739310120187978266658179378
y[1] (numeric) = -1.0105739310120187978615028538877
absolute error = 3.48370359499e-20
relative error = 3.4472525839859292473037500000001e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.008
Order of pole = 5.626
x[1] = -0.9964
y[1] (analytic) = -1.0108782290921831302515082353155
y[1] (numeric) = -1.0108782290921831302873568674923
absolute error = 3.58486321768e-20
relative error = 3.5462859071555811143219200000003e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.008
Order of pole = 5.626
x[1] = -0.9963
y[1] (analytic) = -1.0111826493558759146520052047874
y[1] (numeric) = -1.0111826493558759146888663473019
absolute error = 3.68611425145e-20
relative error = 3.6453495852584668728031500000000e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.008
Order of pole = 5.626
x[1] = -0.9962
y[1] (analytic) = -1.0114871918644281053604843022057
y[1] (numeric) = -1.0114871918644281053983588700867
absolute error = 3.78745678810e-20
relative error = 3.7444436455183916153767999999999e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.007
Order of pole = 5.626
x[1] = -0.9961
y[1] (analytic) = -1.0117918566792076030668702469233
y[1] (numeric) = -1.0117918566792076031057591561186
absolute error = 3.88889091953e-20
relative error = 3.8435681151790366982999300000000e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.007
Order of pole = 5.626
x[1] = -0.996
y[1] (analytic) = -1.0120966438616192807876074547054
y[1] (numeric) = -1.0120966438616192808275116220827
absolute error = 3.99041673773e-20
relative error = 3.9427230214939798252800000000005e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.007
Order of pole = 5.626
x[1] = -0.9959
y[1] (analytic) = -1.0124015534731050098554453519673
y[1] (numeric) = -1.0124015534731050098963656953149
absolute error = 4.09203433476e-20
relative error = 4.0419083917068555608060399999998e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.007
Order of pole = 5.626
x[1] = -0.9958
y[1] (analytic) = -1.012706585575143685930105308909
y[1] (numeric) = -1.0127065855751436859720427469376
absolute error = 4.19374380286e-20
relative error = 4.1411242531599204849083199999998e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.007
Order of pole = 5.626
x[1] = -0.9957
y[1] (analytic) = -1.0130117402292512550298480680638
y[1] (numeric) = -1.0130117402292512550728035204069
absolute error = 4.29554523431e-20
relative error = 4.2403706331556332314148300000001e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.007
Order of pole = 5.626
x[1] = -0.9956
y[1] (analytic) = -1.0133170174969807395839605637318
y[1] (numeric) = -1.0133170174969807396279349509468
absolute error = 4.39743872150e-20
relative error = 4.3396475590257246677440000000001e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.007
Order of pole = 5.626
x[1] = -0.9955
y[1] (analytic) = -1.0136224174399222645061810467584
y[1] (numeric) = -1.0136224174399222645511752903278
absolute error = 4.49942435694e-20
relative error = 4.4389550581409495788425000000000e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.007
Order of pole = 5.626
x[1] = -0.9954
y[1] (analytic) = -1.0139279401197030832890814481198
y[1] (numeric) = -1.0139279401197030833350964704521
absolute error = 4.60150223323e-20
relative error = 4.5382931578813700667247199999998e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.007
Order of pole = 5.626
x[1] = -0.9953
y[1] (analytic) = -1.0142335855979876041194259338012
y[1] (numeric) = -1.014233585597987604166462658232
absolute error = 4.70367244308e-20
relative error = 4.6376618856559908537051599999996e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.007
Order of pole = 5.626
x[1] = -0.9952
y[1] (analytic) = -1.0145393539364774160145246225004
y[1] (numeric) = -1.0145393539364774160625839732935
absolute error = 4.80593507931e-20
relative error = 4.7370612689026456161484800000000e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.006
Order of pole = 5.626
x[1] = -0.9951
y[1] (analytic) = -1.0148452451969113149796014567565
y[1] (numeric) = -1.0148452451969113150286843591046
absolute error = 4.90829023481e-20
relative error = 4.8364913350484685291383100000001e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.006
Order of pole = 5.626
x[1] = -0.995
y[1] (analytic) = -1.0151512594410653301861952371894
y[1] (numeric) = -1.0151512594410653302363026172155
absolute error = 5.01073800261e-20
relative error = 4.9359521115787954237500000000003e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.006
Order of pole = 5.626
x[1] = -0.9949
y[1] (analytic) = -1.0154573967307527501716128486483
y[1] (numeric) = -1.0154573967307527502227456334065
absolute error = 5.11327847582e-20
relative error = 5.0354436259779191386011800000003e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=11.4MB, alloc=4.3MB, time=0.72
Real estimate of pole used
Radius of convergence = 1.006
Order of pole = 5.626
x[1] = -0.9948
y[1] (analytic) = -1.0157636571278241490594537261941
y[1] (numeric) = -1.0157636571278241491116128436705
absolute error = 5.21591174764e-20
relative error = 5.1349659057388655446348799999996e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.006
Order of pole = 5.626
x[1] = -0.9947
y[1] (analytic) = -1.0160700406941674128012246279937
y[1] (numeric) = -1.016070040694167412854411007108
absolute error = 5.31863791143e-20
relative error = 5.2345189784322028661358899999996e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.006
Order of pole = 5.626
x[1] = -0.9946
y[1] (analytic) = -1.0163765474917077654390638013777
y[1] (numeric) = -1.0163765474917077654932783719838
absolute error = 5.42145706061e-20
relative error = 5.3341028716074655709069600000001e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.006
Order of pole = 5.626
x[1] = -0.9945
y[1] (analytic) = -1.0166831775824077953895936475039
y[1] (numeric) = -1.0166831775824077954448373403908
absolute error = 5.52436928869e-20
relative error = 5.4337176128226232117012500000003e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.006
Order of pole = 5.626
x[1] = -0.9944
y[1] (analytic) = -1.016989931028267481748921009286
y[1] (numeric) = -1.016989931028267481805194756179
absolute error = 5.62737468930e-20
relative error = 5.5333632296734959078911999999998e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.006
Order of pole = 5.626
x[1] = -0.9943
y[1] (analytic) = -1.0172968078913242206188042264831
y[1] (numeric) = -1.0172968078913242206761089600452
absolute error = 5.73047335621e-20
relative error = 5.6330397498132865321014700000001e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.005
Order of pole = 5.626
x[1] = -0.9942
y[1] (analytic) = -1.0176038082336528514540061211035
y[1] (numeric) = -1.0176038082336528515123427749358
absolute error = 5.83366538323e-20
relative error = 5.7327472008541533188282400000000e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.005
Order of pole = 5.626
x[1] = -0.9941
y[1] (analytic) = -1.0179109321173656834308520955519
y[1] (numeric) = -1.0179109321173656834902216041951
absolute error = 5.93695086432e-20
relative error = 5.8324856104752653744227200000000e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.005
Order of pole = 5.626
x[1] = -0.994
y[1] (analytic) = -1.0182181796046125218370125452544
y[1] (numeric) = -1.0182181796046125218974158441896
absolute error = 6.04032989352e-20
relative error = 5.9322550063538831596800000000000e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.005
Order of pole = 5.626
x[1] = -0.9939
y[1] (analytic) = -1.0185255507575806944825288068129
y[1] (numeric) = -1.0185255507575806945439668324627
absolute error = 6.14380256498e-20
relative error = 6.0320554161947447156746199999997e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.005
Order of pole = 5.626
x[1] = -0.9938
y[1] (analytic) = -1.0188330456384950781321018820853
y[1] (numeric) = -1.0188330456384950781945755718151
absolute error = 6.24736897298e-20
relative error = 6.1318868677495834612225600000001e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.005
Order of pole = 5.626
x[1] = -0.9937
y[1] (analytic) = -1.0191406643096181249586631979532
y[1] (numeric) = -1.0191406643096181250221734900717
absolute error = 6.35102921185e-20
relative error = 6.2317493887384886440430499999999e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.005
Order of pole = 5.626
x[1] = -0.9936
y[1] (analytic) = -1.0194484068332498890182466809207
y[1] (numeric) = -1.0194484068332498890827945146815
absolute error = 6.45478337608e-20
relative error = 6.3316430069577833712844800000005e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.005
Order of pole = 5.626
x[1] = -0.9935
y[1] (analytic) = -1.0197562732717280527461814451014
y[1] (numeric) = -1.0197562732717280528117677607035
absolute error = 6.55863156021e-20
relative error = 6.4315677501719693948287499999999e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.005
Order of pole = 5.626
x[1] = -0.9934
y[1] (analytic) = -1.0200642636874279534746244115717
y[1] (numeric) = -1.0200642636874279535412501501611
absolute error = 6.66257385894e-20
relative error = 6.5315236462215401293857599999996e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.005
Order of pole = 5.626
x[1] = -0.9933
y[1] (analytic) = -1.0203723781427626099714521965267
y[1] (numeric) = -1.0203723781427626100391183001973
absolute error = 6.76661036706e-20
relative error = 6.6315107229541921421332200000004e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.004
Order of pole = 5.626
x[1] = -0.9932
y[1] (analytic) = -1.020680616700182749000531625141
y[1] (numeric) = -1.0206806167001827490692390369352
absolute error = 6.87074117942e-20
relative error = 6.7315290081953506150105600000000e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.004
Order of pole = 5.626
x[1] = -0.9931
y[1] (analytic) = -1.0209889794221768319033882475307
y[1] (numeric) = -1.020988979422176831973137911441
absolute error = 6.97496639103e-20
relative error = 6.8315785298460756640257299999997e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.004
Order of pole = 5.626
x[1] = -0.993
y[1] (analytic) = -1.0212974663712710812022922527324
y[1] (numeric) = -1.0212974663712710812730851137024
absolute error = 7.07928609700e-20
relative error = 6.9316593158241277290000000000005e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.004
Order of pole = 5.626
memory used=15.2MB, alloc=4.3MB, time=0.98
x[1] = -0.9929
y[1] (analytic) = -1.0216060776100295072247811961462
y[1] (numeric) = -1.0216060776100295072966182000713
absolute error = 7.18370039251e-20
relative error = 7.0317713940345051036533900000006e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.004
Order of pole = 5.626
x[1] = -0.9928
y[1] (analytic) = -1.0219148132010539347496389754494
y[1] (numeric) = -1.0219148132010539348225210691781
absolute error = 7.28820937287e-20
relative error = 7.1319147924281047374182400000007e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.004
Order of pole = 5.626
x[1] = -0.9927
y[1] (analytic) = -1.0222236732069840296743505095705
y[1] (numeric) = -1.0222236732069840297482786409052
absolute error = 7.39281313347e-20
relative error = 7.2320895389526681058010099999996e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.004
Order of pole = 5.626
x[1] = -0.9926
y[1] (analytic) = -1.0225326576904973257040515949096
y[1] (numeric) = -1.0225326576904973257790267126083
absolute error = 7.49751176987e-20
relative error = 7.3322956616407308097991199999999e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.004
Order of pole = 5.626
x[1] = -0.9925
y[1] (analytic) = -1.0228417667143092510619934326208
y[1] (numeric) = -1.0228417667143092511380164863974
absolute error = 7.60230537766e-20
relative error = 7.4325331884725489246874999999992e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.004
Order of pole = 5.626
x[1] = -0.9924
y[1] (analytic) = -1.0231510003411731552215413404092
y[1] (numeric) = -1.0231510003411731552986132809353
absolute error = 7.70719405261e-20
relative error = 7.5328021475227118222726400000000e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.004
Order of pole = 5.626
x[1] = -0.9923
y[1] (analytic) = -1.023460358633880335659727181972
y[1] (numeric) = -1.0234603586338803357378489608771
absolute error = 7.81217789051e-20
relative error = 7.6331025668035951254981699999994e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.003
Order of pole = 5.626
x[1] = -0.9922
y[1] (analytic) = -1.0237698416552600646323750668909
y[1] (numeric) = -1.0237698416552600647115476367643
absolute error = 7.91725698734e-20
relative error = 7.7334344744314354406283199999999e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.003
Order of pole = 5.626
x[1] = -0.9921
y[1] (analytic) = -1.0240794494681796159708198935044
y[1] (numeric) = -1.0240794494681796160510442078957
absolute error = 8.02243143913e-20
relative error = 7.8337978984893929926839300000005e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.003
Order of pole = 5.626
x[1] = -0.992
y[1] (analytic) = -1.0243891821355442919002383270116
y[1] (numeric) = -1.0243891821355442919815153404317
absolute error = 8.12770134201e-20
relative error = 7.9341928670763388108799999999993e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.003
Order of pole = 5.626
x[1] = -0.9919
y[1] (analytic) = -1.0246990397202974498796118248184
y[1] (numeric) = -1.0246990397202974499619424927413
absolute error = 8.23306679229e-20
relative error = 8.0346194083848302793101100000000e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.003
Order of pole = 5.626
x[1] = -0.9918
y[1] (analytic) = -1.0250090222854205294633413409148
y[1] (numeric) = -1.0250090222854205295467266197778
absolute error = 8.33852788630e-20
relative error = 8.1350775505448008225416000000000e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.003
Order of pole = 5.626
x[1] = -0.9917
y[1] (analytic) = -1.0253191298939330791845333608626
y[1] (numeric) = -1.0253191298939330792689742080679
absolute error = 8.44408472053e-20
relative error = 8.2355673217601248374128899999997e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.003
Order of pole = 5.626
x[1] = -0.9916
y[1] (analytic) = -1.0256293626088927834599769388015
y[1] (numeric) = -1.0256293626088927835454743127173
absolute error = 8.54973739158e-20
relative error = 8.3360887502596827153676800000005e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.003
Order of pole = 5.626
x[1] = -0.9915
y[1] (analytic) = -1.025939720493395489516831427719
y[1] (numeric) = -1.02593972049339548960338628768
absolute error = 8.65548599610e-20
relative error = 8.4366418642387673200874999999998e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.003
Order of pole = 5.626
x[1] = -0.9914
y[1] (analytic) = -1.026250203610575234341044614092
y[1] (numeric) = -1.0262502036105752344286579204013
absolute error = 8.76133063093e-20
relative error = 8.5372266919954809615879200000006e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.003
Order of pole = 5.626
x[1] = -0.9913
y[1] (analytic) = -1.026560812023604271647520987901
y[1] (numeric) = -1.0265608120236042717361937018303
absolute error = 8.86727139293e-20
relative error = 8.6378432617649055565162100000001e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.002
Order of pole = 5.626
x[1] = -0.9912
y[1] (analytic) = -1.0268715457956930988720598989161
y[1] (numeric) = -1.0268715457956930989617929827075
absolute error = 8.97330837914e-20
relative error = 8.7384916018749380555059199999998e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.002
Order of pole = 5.626
x[1] = -0.9911
y[1] (analytic) = -1.0271824049900904841850833700943
y[1] (numeric) = -1.0271824049900904842758777869612
absolute error = 9.07944168669e-20
relative error = 8.8391717406584587205373900000002e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.002
Order of pole = 5.626
x[1] = -0.991
y[1] (analytic) = -1.0274933896700834935271733588728
y[1] (numeric) = -1.0274933896700834936190300730005
absolute error = 9.18567141277e-20
relative error = 8.9398837064240532006699999999994e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.002
Order of pole = 5.626
memory used=19.0MB, alloc=4.3MB, time=1.23
x[1] = -0.9909
y[1] (analytic) = -1.0278044998989975176664382771198
y[1] (numeric) = -1.0278044998989975177593582536673
absolute error = 9.29199765475e-20
relative error = 9.0406275275727298548877499999995e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.002
Order of pole = 5.626
x[1] = -0.9908
y[1] (analytic) = -1.0281157357401962992777286005036
y[1] (numeric) = -1.0281157357401962993717128056043
absolute error = 9.39842051007e-20
relative error = 9.1414032324907148290118399999999e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.002
Order of pole = 5.626
x[1] = -0.9907
y[1] (analytic) = -1.028427097257081960043721418055
y[1] (numeric) = -1.0284270972570819601387708188177
absolute error = 9.50494007627e-20
relative error = 9.2422108495785718485916100000002e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.002
Order of pole = 5.626
x[1] = -0.9906
y[1] (analytic) = -1.028738584513095027777893792743
y[1] (numeric) = -1.028738584513095027874009357253
absolute error = 9.61155645100e-20
relative error = 9.3430504072608277826159999999992e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.002
Order of pole = 5.626
x[1] = -0.9905
y[1] (analytic) = -1.0290501975717144635694048239448
y[1] (numeric) = -1.0290501975717144636665875212654
absolute error = 9.71826973206e-20
relative error = 9.4439219340247337200575000000000e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.002
Order of pole = 5.626
x[1] = -0.9904
y[1] (analytic) = -1.0293619364964576889499063227803
y[1] (numeric) = -1.0293619364964576890481571229532
absolute error = 9.82508001729e-20
relative error = 9.5448254583132341621145599999997e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.002
Order of pole = 5.626
x[1] = -0.9903
y[1] (analytic) = -1.0296738013508806130823020313827
y[1] (numeric) = -1.0296738013508806131816219054297
absolute error = 9.93198740470e-20
relative error = 9.6457610086512140592368999999998e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.001
Order of pole = 5.626
x[1] = -0.9902
y[1] (analytic) = -1.0299857921985776599714753373157
y[1] (numeric) = -1.0299857921985776600718652572395
absolute error = 1.003899199238e-19
relative error = 9.7467286135579212334830400000001e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.001
Order of pole = 5.626
x[1] = -0.9901
y[1] (analytic) = -1.0302979091031817956970054544934
y[1] (numeric) = -1.0302979091031817957984663932787
absolute error = 1.014609387853e-19
relative error = 9.8477283015760189321195299999997e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.001
Order of pole = 5.626
x[1] = -0.99
y[1] (analytic) = -1.0306101521283645556678920621376
y[1] (numeric) = -1.0306101521283645557704249937523
absolute error = 1.025329316147e-19
relative error = 9.9487601012811795299999999999995e-18 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.001
Order of pole = 5.626
x[1] = -0.9899
y[1] (analytic) = -1.0309225213378360718993084135047
y[1] (numeric) = -1.030922521337836072002914312901
absolute error = 1.036058993963e-19
relative error = 1.0049824041272260578171370000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.001
Order of pole = 5.626
x[1] = -0.9898
y[1] (analytic) = -1.0312350167953451003114029463335
y[1] (numeric) = -1.0312350167953451004160827894486
absolute error = 1.046798431151e-19
relative error = 1.0150920150132407252295920000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.001
Order of pole = 5.626
x[1] = -0.9897
y[1] (analytic) = -1.0315476385646790480501694472062
y[1] (numeric) = -1.031547638564679048155924210964
absolute error = 1.057547637578e-19
relative error = 1.0252048456525943823647940000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.001
Order of pole = 5.626
x[1] = -0.9896
y[1] (analytic) = -1.0318603867096640008304058422853
y[1] (numeric) = -1.031860386709664000937236504597
absolute error = 1.068306623117e-19
relative error = 1.0353208989091572982789119999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.001
Order of pole = 5.626
x[1] = -0.9895
y[1] (analytic) = -1.0321732612941647503007817071687
y[1] (numeric) = -1.0321732612941647504086892469343
absolute error = 1.079075397656e-19
relative error = 1.0454401776529535104729999999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.001
Order of pole = 5.626
x[1] = -0.9894
y[1] (analytic) = -1.0324862623820848214310346089229
y[1] (numeric) = -1.0324862623820848215400200060322
absolute error = 1.089853971093e-19
relative error = 1.0555626847553013931395120000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1.001
Order of pole = 5.626
x[1] = -0.9893
y[1] (analytic) = -1.0327993900373664999213154136821
y[1] (numeric) = -1.0327993900373665000313796490154
absolute error = 1.100642353333e-19
relative error = 1.0656884230858995313916810000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1
Order of pole = 5.626
x[1] = -0.9892
y[1] (analytic) = -1.0331126443239908596337027135566
y[1] (numeric) = -1.0331126443239908597448467689864
absolute error = 1.111440554298e-19
relative error = 1.0758173955225012203178240000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1
Order of pole = 5.626
x[1] = -0.9891
y[1] (analytic) = -1.0334260253059777900459065469759
y[1] (numeric) = -1.0334260253059777901581314053674
absolute error = 1.122248583915e-19
relative error = 1.0859496049392829445914650000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1
Order of pole = 5.626
x[1] = -0.989
y[1] (analytic) = -1.0337395330473860237271816069859
y[1] (numeric) = -1.0337395330473860238404882521987
absolute error = 1.133066452128e-19
relative error = 1.0960850542184506816320000000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=22.8MB, alloc=4.3MB, time=1.50
Real estimate of pole used
Radius of convergence = 1
Order of pole = 5.626
x[1] = -0.9889
y[1] (analytic) = -1.0340531676123131638364701524496
y[1] (numeric) = -1.0340531676123131639508595693384
absolute error = 1.143894168888e-19
relative error = 1.1062237462405495809756720000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 1
Order of pole = 5.626
x[1] = -0.9888
y[1] (analytic) = -1.0343669290648957116427948575411
y[1] (numeric) = -1.0343669290648957117582680319569
absolute error = 1.154731744158e-19
relative error = 1.1163656838892928821493760000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9999
Order of pole = 5.626
x[1] = -0.9887
y[1] (analytic) = -1.034680817469309094067921855395
y[1] (numeric) = -1.0346808174693090941844797741863
absolute error = 1.165579187913e-19
relative error = 1.1265108700515496308060390000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9998
Order of pole = 5.626
x[1] = -0.9886
y[1] (analytic) = -1.0349948328897676912513142522639
y[1] (numeric) = -1.0349948328897676913689579032777
absolute error = 1.176436510138e-19
relative error = 1.1366593076154000275469280000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9997
Order of pole = 5.626
x[1] = -0.9885
y[1] (analytic) = -1.0353089753905248641373964090497
y[1] (numeric) = -1.0353089753905248642561267811328
absolute error = 1.187303720831e-19
relative error = 1.1468109994730237804028750000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9996
Order of pole = 5.626
x[1] = -0.9884
y[1] (analytic) = -1.0356232450358729820851493076137
y[1] (numeric) = -1.0356232450358729822049673906135
absolute error = 1.198180829998e-19
relative error = 1.1569659485158583720817920000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9995
Order of pole = 5.626
x[1] = -0.9883
y[1] (analytic) = -1.0359376418901434505000573398285
y[1] (numeric) = -1.0359376418901434506209641245945
absolute error = 1.209067847660e-19
relative error = 1.1671241576413498379244200000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9994
Order of pole = 5.626
x[1] = -0.9882
y[1] (analytic) = -1.03625216601770673848842687792
y[1] (numeric) = -1.0362521660177067386104233563043
absolute error = 1.219964783843e-19
relative error = 1.1772856297432859708280239999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9993
Order of pole = 5.626
x[1] = -0.9881
y[1] (analytic) = -1.036566817482972406534097005249
y[1] (numeric) = -1.0365668174829724066571841701084
absolute error = 1.230871648594e-19
relative error = 1.1874503677272299160035540000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9992
Order of pole = 5.626
x[1] = -0.988
y[1] (analytic) = -1.0368815963503891341975628073193
y[1] (numeric) = -1.0368815963503891343217416525153
absolute error = 1.241788451960e-19
relative error = 1.1976183744902417331200000000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9991
Order of pole = 5.626
x[1] = -0.9879
y[1] (analytic) = -1.0371965026844447478375316434385
y[1] (numeric) = -1.0371965026844447479628031638393
absolute error = 1.252715204008e-19
relative error = 1.2077896529401665062235120000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.999
Order of pole = 5.626
x[1] = -0.9878
y[1] (analytic) = -1.0375115365496662483549328401456
y[1] (numeric) = -1.0375115365496662484812980316268
absolute error = 1.263651914812e-19
relative error = 1.2179642059830804466994240000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9989
Order of pole = 5.626
x[1] = -0.9877
y[1] (analytic) = -1.0378266980106198389594012682075
y[1] (numeric) = -1.0378266980106198390868611276531
absolute error = 1.274598594456e-19
relative error = 1.2281420365261766751666479999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9988
Order of pole = 5.626
x[1] = -0.9876
y[1] (analytic) = -1.0381419871319109529582552857108
y[1] (numeric) = -1.0381419871319109530868108110149
absolute error = 1.285555253041e-19
relative error = 1.2383231474844987784364160000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9987
Order of pole = 5.626
x[1] = -0.9875
y[1] (analytic) = -1.0384574039781842815679895505224
y[1] (numeric) = -1.0384574039781842816976417405897
absolute error = 1.296521900673e-19
relative error = 1.2485075417693657167968750000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9986
Order of pole = 5.626
x[1] = -0.9874
y[1] (analytic) = -1.0387729486141238017483032261518
y[1] (numeric) = -1.0387729486141238018790530808991
absolute error = 1.307498547473e-19
relative error = 1.2586952222979966405901520000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9985
Order of pole = 5.626
x[1] = -0.9873
y[1] (analytic) = -1.0390886211044528040586841258463
y[1] (numeric) = -1.0390886211044528041905326462034
absolute error = 1.318485203571e-19
relative error = 1.2688861919877200533943070000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9984
Order of pole = 5.626
x[1] = -0.9872
y[1] (analytic) = -1.0394044215139339205375693605579
y[1] (numeric) = -1.0394044215139339206705175484689
absolute error = 1.329481879110e-19
relative error = 1.2790804537598144079052800000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9983
Order of pole = 5.626
x[1] = -0.9871
y[1] (analytic) = -1.0397203499073691526041030772602
y[1] (numeric) = -1.0397203499073691527381519356844
absolute error = 1.340488584242e-19
relative error = 1.2892780105356473157852619999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9982
Order of pole = 5.626
x[1] = -0.987
y[1] (analytic) = -1.040036406349599898982511894951
y[1] (numeric) = -1.0400364063495998991176624278645
absolute error = 1.351505329135e-19
relative error = 1.2994788652433983354050000000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=26.7MB, alloc=4.4MB, time=1.77
Real estimate of pole used
Radius of convergence = 0.9981
Order of pole = 5.626
x[1] = -0.9869
y[1] (analytic) = -1.0403525909055069836491186665637
y[1] (numeric) = -1.04035259090550698378537187896
absolute error = 1.362532123963e-19
relative error = 1.3096830208084288791853670000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.998
Order of pole = 5.626
x[1] = -0.9868
y[1] (analytic) = -1.0406689036400106838020152159097
y[1] (numeric) = -1.0406689036400106839393721138012
absolute error = 1.373568978915e-19
relative error = 1.3198904801619271516252800000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9979
Order of pole = 5.626
x[1] = -0.9867
y[1] (analytic) = -1.0409853446180707578534147197113
y[1] (numeric) = -1.0409853446180707579918763101302
absolute error = 1.384615904189e-19
relative error = 1.3301012462351278931336069999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9978
Order of pole = 5.626
x[1] = -0.9866
y[1] (analytic) = -1.0413019139046864734447044257314
y[1] (numeric) = -1.0413019139046864735842717167312
absolute error = 1.395672909998e-19
relative error = 1.3403153219650666848122080000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9977
Order of pole = 5.626
x[1] = -0.9865
y[1] (analytic) = -1.041618611564896635484219418988
y[1] (numeric) = -1.041618611564896635624893419644
absolute error = 1.406740006560e-19
relative error = 1.3505327102849630399400000000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9976
Order of pole = 5.626
x[1] = -0.9864
y[1] (analytic) = -1.0419354376637796142077581690343
y[1] (numeric) = -1.0419354376637796143495398894453
absolute error = 1.417817204110e-19
relative error = 1.3607534141357355750758400000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9975
Order of pole = 5.626
x[1] = -0.9863
y[1] (analytic) = -1.0422523922664533732618606123163
y[1] (numeric) = -1.0422523922664533734047510636055
absolute error = 1.428904512892e-19
relative error = 1.3709774364583069600571240000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9974
Order of pole = 5.626
x[1] = -0.9862
y[1] (analytic) = -1.0425694754380754978098695446601
y[1] (numeric) = -1.0425694754380754979538697389764
absolute error = 1.440001943163e-19
relative error = 1.3812047801974329128882640000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9973
Order of pole = 5.626
x[1] = -0.9861
y[1] (analytic) = -1.0428866872438432226607961200141
y[1] (numeric) = -1.0428866872438432228059070705331
absolute error = 1.451109505190e-19
relative error = 1.3914354482988120608373900000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9972
Order of pole = 5.626
x[1] = -0.986
y[1] (analytic) = -1.0432040277489934604210102726637
y[1] (numeric) = -1.0432040277489934605672329935889
absolute error = 1.462227209252e-19
relative error = 1.4016694437109939885120000000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9971
Order of pole = 5.626
x[1] = -0.9859
y[1] (analytic) = -1.0435214970188028296687769012543
y[1] (numeric) = -1.0435214970188028298161124078182
absolute error = 1.473355065639e-19
relative error = 1.4119067693844089131467810000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.997
Order of pole = 5.626
x[1] = -0.9858
y[1] (analytic) = -1.0438390951185876831516586740979
y[1] (numeric) = -1.0438390951185876833001079825633
absolute error = 1.484493084654e-19
relative error = 1.4221474282732731248976480000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9969
Order of pole = 5.626
x[1] = -0.9857
y[1] (analytic) = -1.0441568221137041360068063364036
y[1] (numeric) = -1.0441568221137041361563704640646
absolute error = 1.495641276610e-19
relative error = 1.4323914233327023848017300000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9968
Order of pole = 5.626
x[1] = -0.9856
y[1] (analytic) = -1.0444746780695480940041574212598
y[1] (numeric) = -1.0444746780695480941548373864428
absolute error = 1.506799651830e-19
relative error = 1.4426387575187028364492800000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9967
Order of pole = 5.626
x[1] = -0.9855
y[1] (analytic) = -1.0447926630515552818125642874067
y[1] (numeric) = -1.044792663051555281964361109472
absolute error = 1.517968220653e-19
relative error = 1.4528894337939046914978750000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9966
Order of pole = 5.626
x[1] = -0.9854
y[1] (analytic) = -1.0451107771252012712888724280756
y[1] (numeric) = -1.0451107771252012714417871274183
absolute error = 1.529146993427e-19
relative error = 1.4631434551208465620299280000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9965
Order of pole = 5.626
x[1] = -0.9853
y[1] (analytic) = -1.0454290203560015097899700164268
y[1] (numeric) = -1.0454290203560015099440036144777
absolute error = 1.540335980509e-19
relative error = 1.4734008244619678550397930000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9964
Order of pole = 5.626
x[1] = -0.9852
y[1] (analytic) = -1.045747392809511348507829674402
y[1] (numeric) = -1.0457473928095113486629831936292
absolute error = 1.551535192272e-19
relative error = 1.4836615447862949508085760000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9963
Order of pole = 5.626
x[1] = -0.9851
y[1] (analytic) = -1.0460658945513260708275634731161
y[1] (numeric) = -1.0460658945513260709838379370259
absolute error = 1.562744639098e-19
relative error = 1.4939256190627316813499979999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9962
Order of pole = 5.626
x[1] = -0.985
y[1] (analytic) = -1.0463845256470809207085121942383
y[1] (numeric) = -1.0463845256470809208659086273766
absolute error = 1.573964331383e-19
relative error = 1.5041930502648301073750000000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=30.5MB, alloc=4.4MB, time=2.03
Real estimate of pole used
Radius of convergence = 0.9961
Order of pole = 5.626
x[1] = -0.9849
y[1] (analytic) = -1.0467032861624511310883899031713
y[1] (numeric) = -1.0467032861624511312469093311244
absolute error = 1.585194279531e-19
relative error = 1.5144638413650433843940190000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.996
Order of pole = 5.626
x[1] = -0.9848
y[1] (analytic) = -1.0470221761631519523105049062123
y[1] (numeric) = -1.0470221761631519524701483556083
absolute error = 1.596434493960e-19
relative error = 1.5247379953404501905203200000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9959
Order of pole = 5.626
x[1] = -0.9847
y[1] (analytic) = -1.0473411957149386805740781852825
y[1] (numeric) = -1.0473411957149386807348466837925
absolute error = 1.607684985100e-19
relative error = 1.5350155151708302974973000000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9958
Order of pole = 5.626
x[1] = -0.9846
y[1] (analytic) = -1.0476603448836066864076804252376
y[1] (numeric) = -1.0476603448836066865695750015766
absolute error = 1.618945763390e-19
relative error = 1.5452964038357891353850400000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9957
Order of pole = 5.626
x[1] = -0.9845
y[1] (analytic) = -1.0479796237349914431658087702203
y[1] (numeric) = -1.0479796237349914433288304541487
absolute error = 1.630216839284e-19
relative error = 1.5555806643204755542944999999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9956
Order of pole = 5.626
x[1] = -0.9844
y[1] (analytic) = -1.0482990323349685555486244669911
y[1] (numeric) = -1.0482990323349685557127742893157
absolute error = 1.641498223246e-19
relative error = 1.5658682996107959369936639999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9955
Order of pole = 5.626
x[1] = -0.9843
y[1] (analytic) = -1.0486185707494537881448725746695
y[1] (numeric) = -1.0486185707494537883101515672448
absolute error = 1.652789925753e-19
relative error = 1.5761593126962661288555710000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9954
Order of pole = 5.626
x[1] = -0.9842
y[1] (analytic) = -1.0489382390444030939980049418411
y[1] (numeric) = -1.0489382390444030941644141375701
absolute error = 1.664091957290e-19
relative error = 1.5864537065652313843655200000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9953
Order of pole = 5.626
x[1] = -0.9841
y[1] (analytic) = -1.0492580372858126431955276735294
y[1] (numeric) = -1.0492580372858126433630681063652
absolute error = 1.675404328358e-19
relative error = 1.5967514842124847481829180000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9952
Order of pole = 5.626
x[1] = -0.984
y[1] (analytic) = -1.0495779655397188514815943321043
y[1] (numeric) = -1.0495779655397188516502670370511
absolute error = 1.686727049468e-19
relative error = 1.6070526486335328030720000000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9951
Order of pole = 5.626
x[1] = -0.9839
y[1] (analytic) = -1.0498980238721984088928661377898
y[1] (numeric) = -1.049898023872198409062672150904
absolute error = 1.698060131142e-19
relative error = 1.6173572028255392010430980000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.995
Order of pole = 5.626
x[1] = -0.9838
y[1] (analytic) = -1.0502182123493683084176604560531
y[1] (numeric) = -1.0502182123493683085886008144446
absolute error = 1.709403583915e-19
relative error = 1.6276651497892186428278799999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9949
Order of pole = 5.626
x[1] = -0.9837
y[1] (analytic) = -1.0505385310373858746784088807997
y[1] (numeric) = -1.0505385310373858748504846226332
absolute error = 1.720757418335e-19
relative error = 1.6379764925288235964037550000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9948
Order of pole = 5.626
x[1] = -0.9836
y[1] (analytic) = -1.0508589800024487926374462439655
y[1] (numeric) = -1.0508589800024487928106584084612
absolute error = 1.732121644957e-19
relative error = 1.6482912340464214109505919999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9947
Order of pole = 5.626
x[1] = -0.9835
y[1] (analytic) = -1.0511795593107951363261519037851
y[1] (numeric) = -1.0511795593107951365005015312205
absolute error = 1.743496274354e-19
relative error = 1.6586093773523541970377499999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9946
Order of pole = 5.626
x[1] = -0.9834
y[1] (analytic) = -1.0515002690287033975974646857355
y[1] (numeric) = -1.0515002690287033977729528174462
absolute error = 1.754881317107e-19
relative error = 1.6689309254557080974783280000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9945
Order of pole = 5.626
x[1] = -0.9833
y[1] (analytic) = -1.0518211092224925149017928718884
y[1] (numeric) = -1.0518211092224925150784205502692
absolute error = 1.766276783808e-19
relative error = 1.6792558813671594946008960000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9944
Order of pole = 5.626
x[1] = -0.9832
y[1] (analytic) = -1.0521420799585219020863406561703
y[1] (numeric) = -1.0521420799585219022641089246766
absolute error = 1.777682685063e-19
relative error = 1.6895842481018160027171839999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9943
Order of pole = 5.626
x[1] = -0.9831
y[1] (analytic) = -1.0524631813031914772178725048179
y[1] (numeric) = -1.0524631813031914773967824079671
absolute error = 1.789099031492e-19
relative error = 1.6999160286792017934909720000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9942
Order of pole = 5.626
x[1] = -0.983
y[1] (analytic) = -1.0527844133229416914289368831288
y[1] (numeric) = -1.0527844133229416916089894665009
absolute error = 1.800525833721e-19
relative error = 1.7102512261156440357270000000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=34.3MB, alloc=4.4MB, time=2.29
Real estimate of pole used
Radius of convergence = 0.9941
Order of pole = 5.626
x[1] = -0.9829
y[1] (analytic) = -1.0531057760842535577875708314397
y[1] (numeric) = -1.053105776084253557968767141679
absolute error = 1.811963102393e-19
relative error = 1.7205898434347151317850770000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.994
Order of pole = 5.626
x[1] = -0.9828
y[1] (analytic) = -1.0534272696536486801905068951337
y[1] (numeric) = -1.0534272696536486803728479799498
absolute error = 1.823410848161e-19
relative error = 1.7309318836605687475758720000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9939
Order of pole = 5.626
x[1] = -0.9827
y[1] (analytic) = -1.0537488940976892822799039353559
y[1] (numeric) = -1.0537488940976892824633908435247
absolute error = 1.834869081688e-19
relative error = 1.7412773498179309742137040000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9938
Order of pole = 5.626
x[1] = -0.9826
y[1] (analytic) = -1.0540706494829782363836233690308
y[1] (numeric) = -1.0540706494829782365682571503962
absolute error = 1.846337813654e-19
relative error = 1.7516262449387324183203040000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9937
Order of pole = 5.626
x[1] = -0.9825
y[1] (analytic) = -1.0543925358761590924790724087105
y[1] (numeric) = -1.054392535876159092664854114185
absolute error = 1.857817054745e-19
relative error = 1.7619785720516566947656250000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9936
Order of pole = 5.626
x[1] = -0.9824
y[1] (analytic) = -1.0547145533439161071806358947363
y[1] (numeric) = -1.0547145533439161073675665763027
absolute error = 1.869306815664e-19
relative error = 1.7723343341925667685007359999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9935
Order of pole = 5.626
x[1] = -0.9823
y[1] (analytic) = -1.0550367019529742727507183341887
y[1] (numeric) = -1.0550367019529742729387990449011
absolute error = 1.880807107124e-19
relative error = 1.7826935343978511753401080000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9934
Order of pole = 5.626
x[1] = -0.9822
y[1] (analytic) = -1.0553589817700993461344177831014
y[1] (numeric) = -1.0553589817700993463236495770862
absolute error = 1.892317939848e-19
relative error = 1.7930561757044152273223040000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9933
Order of pole = 5.626
x[1] = -0.9821
y[1] (analytic) = -1.0556813928620978780178532304509
y[1] (numeric) = -1.0556813928620978782082371629083
absolute error = 1.903839324574e-19
relative error = 1.8034222611544085030994139999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9932
Order of pole = 5.626
x[1] = -0.982
y[1] (analytic) = -1.0560039352958172419101671644937
y[1] (numeric) = -1.0560039352958172421017042916988
absolute error = 1.915371272051e-19
relative error = 1.8137917937914209705680000000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9931
Order of pole = 5.626
x[1] = -0.9819
y[1] (analytic) = -1.0563266091381456632492250241011
y[1] (numeric) = -1.0563266091381456634419164034051
absolute error = 1.926913793040e-19
relative error = 1.8241647766614194483973600000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.993
Order of pole = 5.626
x[1] = -0.9818
y[1] (analytic) = -1.056649414456012248531033259851
y[1] (numeric) = -1.0566494144560122487248799496824
absolute error = 1.938466898314e-19
relative error = 1.8345412128127359530456480000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9929
Order of pole = 5.626
x[1] = -0.9817
y[1] (analytic) = -1.0569723513163870144628977517687
y[1] (numeric) = -1.0569723513163870146579008116344
absolute error = 1.950030598657e-19
relative error = 1.8449211052951099565480410000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9928
Order of pole = 5.626
x[1] = -0.9816
y[1] (analytic) = -1.0572954197862809171403443527641
y[1] (numeric) = -1.0572954197862809173365048432509
absolute error = 1.961604904868e-19
relative error = 1.8553044571634614354145279999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9926
Order of pole = 5.626
x[1] = -0.9815
y[1] (analytic) = -1.0576186199327458812478233489951
y[1] (numeric) = -1.0576186199327458814451423317707
absolute error = 1.973189827756e-19
relative error = 1.8656912714731473074165000000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9925
Order of pole = 5.626
x[1] = -0.9814
y[1] (analytic) = -1.0579419518228748292832196505938
y[1] (numeric) = -1.0579419518228748294816981884079
absolute error = 1.984785378141e-19
relative error = 1.8760815512808979381973040000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9924
Order of pole = 5.626
x[1] = -0.9813
y[1] (analytic) = -1.0582654155238017108061905484215
y[1] (numeric) = -1.0582654155238017110058297051071
absolute error = 1.996391566856e-19
relative error = 1.8864752996466968644642319999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9923
Order of pole = 5.626
x[1] = -0.9812
y[1] (analytic) = -1.0585890111027015317103528947781
y[1] (numeric) = -1.0585890111027015319111537352531
absolute error = 2.008008404750e-19
relative error = 1.8968725196366017130080000000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9922
Order of pole = 5.626
x[1] = -0.9811
y[1] (analytic) = -1.0589127386267903835193415882705
y[1] (numeric) = -1.0589127386267903837213051785383
absolute error = 2.019635902678e-19
relative error = 1.9072732143132831881416179999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9921
Order of pole = 5.626
x[1] = -0.981
y[1] (analytic) = -1.0592365981633254727067612653502
y[1] (numeric) = -1.0592365981633254729098886725013
absolute error = 2.031274071511e-19
relative error = 1.9176773867454629190509999999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=38.1MB, alloc=4.4MB, time=2.55
Real estimate of pole used
Radius of convergence = 0.992
Order of pole = 5.626
x[1] = -0.9809
y[1] (analytic) = -1.059560589779605150040053123364
y[1] (numeric) = -1.0595605897796051502443454155772
absolute error = 2.042922922132e-19
relative error = 1.9280850400041209659390279999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9919
Order of pole = 5.626
x[1] = -0.9808
y[1] (analytic) = -1.0598847135429689399482988223167
y[1] (numeric) = -1.0598847135429689401537570688602
absolute error = 2.054582465435e-19
relative error = 1.9384961771615407623987200000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9918
Order of pole = 5.626
x[1] = -0.9807
y[1] (analytic) = -1.0602089695207975699139834349252
y[1] (numeric) = -1.0602089695207975701206087061577
absolute error = 2.066252712325e-19
relative error = 1.9489108012912990087224749999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9917
Order of pole = 5.626
x[1] = -0.9806
y[1] (analytic) = -1.060533357780512999888739436951
y[1] (numeric) = -1.0605333577805130000965328043233
absolute error = 2.077933673723e-19
relative error = 1.9593289154729701825073680000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9916
Order of pole = 5.626
x[1] = -0.9805
y[1] (analytic) = -1.0608578783895784517330937522312
y[1] (numeric) = -1.0608578783895784519420562882871
absolute error = 2.089625360559e-19
relative error = 1.9697505227855108043348750000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9915
Order of pole = 5.626
x[1] = -0.9804
y[1] (analytic) = -1.0611825314154984386802398892808
y[1] (numeric) = -1.0611825314154984388903726676585
absolute error = 2.101327783777e-19
relative error = 1.9801756263119639678225280000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9914
Order of pole = 5.626
x[1] = -0.9803
y[1] (analytic) = -1.0615073169258187948238572288256
y[1] (numeric) = -1.0615073169258187950351613242588
absolute error = 2.113040954332e-19
relative error = 1.9906042291366187735341640000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9913
Order of pole = 5.626
x[1] = -0.9802
y[1] (analytic) = -1.0618322349881267046299995441289
y[1] (numeric) = -1.0618322349881267048424760324481
absolute error = 2.124764883192e-19
relative error = 2.0010363343468838045247359999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9912
Order of pole = 5.626
x[1] = -0.9801
y[1] (analytic) = -1.0621572856700507324730748585102
y[1] (numeric) = -1.0621572856700507326867248166441
absolute error = 2.136499581339e-19
relative error = 2.0114719450342156716279389999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9911
Order of pole = 5.626
x[1] = -0.98
y[1] (analytic) = -1.0624824690392608521959387670103
y[1] (numeric) = -1.0624824690392608524107632729868
absolute error = 2.148245059765e-19
relative error = 2.0219110642903398800000000000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.991
Order of pole = 5.626
x[1] = -0.9799
y[1] (analytic) = -1.0628077851634684766941233717407
y[1] (numeric) = -1.062807785163468476910123504688
absolute error = 2.160001329473e-19
relative error = 2.0323536952081831404167269999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9909
Order of pole = 5.626
x[1] = -0.9798
y[1] (analytic) = -1.0631332341104264875242240030632
y[1] (numeric) = -1.0631332341104264877414008432114
absolute error = 2.171768401482e-19
relative error = 2.0427998408865664233913439999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9908
Order of pole = 5.626
x[1] = -0.9797
y[1] (analytic) = -1.0634588159479292645364659213821
y[1] (numeric) = -1.0634588159479292647548205500643
absolute error = 2.183546286822e-19
relative error = 2.0532495044254861034370059999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9907
Order of pole = 5.626
x[1] = -0.9796
y[1] (analytic) = -1.0637845307438127155314732169866
y[1] (numeric) = -1.0637845307438127157510067166402
absolute error = 2.195334996536e-19
relative error = 2.0637026889279840334760960000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9906
Order of pole = 5.626
x[1] = -0.9795
y[1] (analytic) = -1.0641103785659543059412621480691
y[1] (numeric) = -1.0641103785659543061619756022366
absolute error = 2.207134541675e-19
relative error = 2.0741593974954359084156250000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9905
Order of pole = 5.626
x[1] = -0.9794
y[1] (analytic) = -1.0644363594822730885344811797526
y[1] (numeric) = -1.0644363594822730887563756730834
absolute error = 2.218944933308e-19
relative error = 2.0846196332369402378326719999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9904
Order of pole = 5.626
x[1] = -0.9793
y[1] (analytic) = -1.0647624735607297331459200096995
y[1] (numeric) = -1.0647624735607297333689966279511
absolute error = 2.230766182516e-19
relative error = 2.0950833992636632345066119999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9903
Order of pole = 5.626
x[1] = -0.9792
y[1] (analytic) = -1.0650887208693265564303098886328
y[1] (numeric) = -1.0650887208693265566545697186718
absolute error = 2.242598300390e-19
relative error = 2.1055506986869496296243200000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9902
Order of pole = 5.626
x[1] = -0.9791
y[1] (analytic) = -1.0654151014761075516404375668873
y[1] (numeric) = -1.0654151014761075518658816966905
absolute error = 2.254441298032e-19
relative error = 2.1160215346192527525794720000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9901
Order of pole = 5.626
memory used=41.9MB, alloc=4.4MB, time=2.81
x[1] = -0.979
y[1] (analytic) = -1.0657416154491584184295952209222
y[1] (numeric) = -1.0657416154491584186562247395782
absolute error = 2.266295186560e-19
relative error = 2.1264959101788161478399999999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.99
Order of pole = 5.626
x[1] = -0.9789
y[1] (analytic) = -1.0660682628566065926783887365653
y[1] (numeric) = -1.0660682628566065929062047342759
absolute error = 2.278159977106e-19
relative error = 2.1369738284877803914363140000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9899
Order of pole = 5.626
x[1] = -0.9788
y[1] (analytic) = -1.066395043766621276345926748621
y[1] (numeric) = -1.0663950437666212765749303167017
absolute error = 2.290035680807e-19
relative error = 2.1474552926637291980007039999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9898
Order of pole = 5.626
x[1] = -0.9787
y[1] (analytic) = -1.0667219582474134673454128593625
y[1] (numeric) = -1.0667219582474134675756050902446
absolute error = 2.301922308821e-19
relative error = 2.1579403058346873427808629999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9897
Order of pole = 5.626
x[1] = -0.9786
y[1] (analytic) = -1.0670490063672359894441634813499
y[1] (numeric) = -1.0670490063672359896755454685812
absolute error = 2.313819872313e-19
relative error = 2.1684288711259760809643279999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9896
Order of pole = 5.626
x[1] = -0.9785
y[1] (analytic) = -1.0673761881943835221880737729482
y[1] (numeric) = -1.0673761881943835224206466111947
absolute error = 2.325728382465e-19
relative error = 2.1789209916695777581556250000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9895
Order of pole = 5.626
x[1] = -0.9784
y[1] (analytic) = -1.067703503797192630850554157894
y[1] (numeric) = -1.0677035037971926310843189429406
absolute error = 2.337647850466e-19
relative error = 2.1894166705947514010736640000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9894
Order of pole = 5.626
x[1] = -0.9783
y[1] (analytic) = -1.0680309532440417964059599432461
y[1] (numeric) = -1.0680309532440417966409177719981
absolute error = 2.349578287520e-19
relative error = 2.1999159110355189950462399999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9893
Order of pole = 5.626
x[1] = -0.9782
y[1] (analytic) = -1.0683585366033514455275365730776
y[1] (numeric) = -1.0683585366033514457636885435623
absolute error = 2.361519704847e-19
relative error = 2.2104187161315858783954960000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9892
Order of pole = 5.626
x[1] = -0.9781
y[1] (analytic) = -1.0686862539435839806099030783108
y[1] (numeric) = -1.0686862539435839808472502896784
absolute error = 2.373472113676e-19
relative error = 2.2209250890217735998747160000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9891
Order of pole = 5.626
x[1] = -0.978
y[1] (analytic) = -1.0690141053332438098160963061637
y[1] (numeric) = -1.0690141053332438100546398586885
absolute error = 2.385435525248e-19
relative error = 2.2314350328468192552960000000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.989
Order of pole = 5.626
x[1] = -0.9779
y[1] (analytic) = -1.0693420908408773771491985357767
y[1] (numeric) = -1.0693420908408773773889395308586
absolute error = 2.397409950819e-19
relative error = 2.2419485507521696662478409999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9889
Order of pole = 5.626
x[1] = -0.9778
y[1] (analytic) = -1.0696702105350731925485711097082
y[1] (numeric) = -1.069670210535073192789510649874
absolute error = 2.409395401658e-19
relative error = 2.2524656458860960667024160000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9888
Order of pole = 5.626
x[1] = -0.9777
y[1] (analytic) = -1.0699984644844618620107167341376
y[1] (numeric) = -1.0699984644844618622528559230419
absolute error = 2.421391889043e-19
relative error = 2.2629863213959430814956190000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9887
Order of pole = 5.626
x[1] = -0.9776
y[1] (analytic) = -1.0703268527577161177347931237845
y[1] (numeric) = -1.0703268527577161179781330662113
absolute error = 2.433399424268e-19
relative error = 2.2735105804346618310983679999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9886
Order of pole = 5.626
x[1] = -0.9775
y[1] (analytic) = -1.0706553754235508482928006907601
y[1] (numeric) = -1.0706553754235508485373424926242
absolute error = 2.445418018641e-19
relative error = 2.2840384261589249361093750000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9885
Order of pole = 5.626
x[1] = -0.9774
y[1] (analytic) = -1.0709840325507231288244669997868
y[1] (numeric) = -1.0709840325507231290702117681346
absolute error = 2.457447683478e-19
relative error = 2.2945698617235100909938720000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9884
Order of pole = 5.626
x[1] = -0.9773
y[1] (analytic) = -1.0713128242080322512568507354768
y[1] (numeric) = -1.071312824208032251503799578488
absolute error = 2.469488430112e-19
relative error = 2.3051048902896954776767040000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9883
Order of pole = 5.626
x[1] = -0.9772
y[1] (analytic) = -1.0716417504643197545486879506418
y[1] (numeric) = -1.0716417504643197547968419776302
absolute error = 2.481540269884e-19
relative error = 2.3156435150168430555128320000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9882
Order of pole = 5.626
x[1] = -0.9771
y[1] (analytic) = -1.0719708113884694549595033879058
y[1] (numeric) = -1.0719708113884694552088637093212
absolute error = 2.493603214154e-19
relative error = 2.3261857390726545573896940000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9881
Order of pole = 5.626
memory used=45.7MB, alloc=4.4MB, time=3.07
x[1] = -0.977
y[1] (analytic) = -1.0723000070494074763435096902299
y[1] (numeric) = -1.0723000070494074765940774176589
absolute error = 2.505677274290e-19
relative error = 2.3367315656228919435699999999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.988
Order of pole = 5.626
x[1] = -0.9769
y[1] (analytic) = -1.0726293375161022804683173393106
y[1] (numeric) = -1.0726293375161022807200935854782
absolute error = 2.517762461676e-19
relative error = 2.3472809978388302501886839999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9879
Order of pole = 5.626
x[1] = -0.9768
y[1] (analytic) = -1.0729588028575646973584781842
y[1] (numeric) = -1.0729588028575646976114640629707
absolute error = 2.529858787707e-19
relative error = 2.3578340388925806733962240000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9878
Order of pole = 5.626
x[1] = -0.9767
y[1] (analytic) = -1.0732884031428479556638854459054
y[1] (numeric) = -1.0732884031428479559180820722842
absolute error = 2.541966263788e-19
relative error = 2.3683906919561491166514439999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9877
Order of pole = 5.626
x[1] = -0.9766
y[1] (analytic) = -1.073618138441047713053053107161
y[1] (numeric) = -1.0736181384410477133084615972954
absolute error = 2.554084901344e-19
relative error = 2.3789509602107421917770240000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9876
Order of pole = 5.626
x[1] = -0.9765
y[1] (analytic) = -1.0739480088213020866312976200318
y[1] (numeric) = -1.0739480088213020868879190912125
absolute error = 2.566214711807e-19
relative error = 2.3895148468346397549798750000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9875
Order of pole = 5.626
x[1] = -0.9764
y[1] (analytic) = -1.0742780143527916833838448874923
y[1] (numeric) = -1.0742780143527916836416804581546
absolute error = 2.578355706623e-19
relative error = 2.4000823550097069246325120000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9874
Order of pole = 5.626
x[1] = -0.9763
y[1] (analytic) = -1.0746081551047396306438854986443
y[1] (numeric) = -1.0746081551047396309029362883696
absolute error = 2.590507897253e-19
relative error = 2.4106534879223106622195910000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9873
Order of pole = 5.626
x[1] = -0.9762
y[1] (analytic) = -1.0749384311464116065856012207784
y[1] (numeric) = -1.0749384311464116068458683502953
absolute error = 2.602671295169e-19
relative error = 2.4212282487595832195050320000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9872
Order of pole = 5.626
x[1] = -0.9761
y[1] (analytic) = -1.0752688425471158707421857750516
y[1] (numeric) = -1.0752688425471158710036703662372
absolute error = 2.614845911856e-19
relative error = 2.4318066407112724580283360000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9871
Order of pole = 5.626
x[1] = -0.976
y[1] (analytic) = -1.0755993893762032945488829461497
y[1] (numeric) = -1.075599389376203294811586122031
absolute error = 2.627031758813e-19
relative error = 2.4423886669706590330879999999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.987
Order of pole = 5.626
x[1] = -0.9759
y[1] (analytic) = -1.0759300717030673919110650999264
y[1] (numeric) = -1.0759300717030673921749879846817
absolute error = 2.639228847553e-19
relative error = 2.4529743307345424448738870000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9869
Order of pole = 5.626
x[1] = -0.9758
y[1] (analytic) = -1.0762608895971443497973752066578
y[1] (numeric) = -1.0762608895971443500625189256175
absolute error = 2.651437189597e-19
relative error = 2.4635636351976522440326640000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9868
Order of pole = 5.626
x[1] = -0.9757
y[1] (analytic) = -1.0765918431279130588579554912259
y[1] (numeric) = -1.0765918431279130591243211708743
absolute error = 2.663656796484e-19
relative error = 2.4741565835619312446370120000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9867
Order of pole = 5.626
x[1] = -0.9756
y[1] (analytic) = -1.0769229323648951440677858552504
y[1] (numeric) = -1.0769229323648951443353746232269
absolute error = 2.675887679765e-19
relative error = 2.4847531790309444638742400000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9866
Order of pole = 5.626
x[1] = -0.9755
y[1] (analytic) = -1.0772541573776549953951552399127
y[1] (numeric) = -1.0772541573776549956639682250128
absolute error = 2.688129851001e-19
relative error = 2.4953534248080114986688749999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9865
Order of pole = 5.626
x[1] = -0.9754
y[1] (analytic) = -1.0775855182357997984952891219719
y[1] (numeric) = -1.077585518235799798765327454149
absolute error = 2.700383321771e-19
relative error = 2.5059573241036223427963439999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9864
Order of pole = 5.626
x[1] = -0.9753
y[1] (analytic) = -1.0779170150089795654291563592593
y[1] (numeric) = -1.0779170150089795657004211696258
absolute error = 2.712648103665e-19
relative error = 2.5165648801289237845477050000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9863
Order of pole = 5.626
x[1] = -0.9752
y[1] (analytic) = -1.0782486477668871654074786257415
y[1] (numeric) = -1.0782486477668871656799710465697
absolute error = 2.724924208282e-19
relative error = 2.5271760960938549521602559999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9862
Order of pole = 5.626
x[1] = -0.9751
y[1] (analytic) = -1.0785804165792583555599657000798
y[1] (numeric) = -1.0785804165792583558336868648039
absolute error = 2.737211647241e-19
relative error = 2.5377909752173391705089909999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9861
Order of pole = 5.626
memory used=49.5MB, alloc=4.4MB, time=3.33
x[1] = -0.975
y[1] (analytic) = -1.0789123215158718117297998954803
y[1] (numeric) = -1.0789123215158718120047509386974
absolute error = 2.749510432171e-19
relative error = 2.5484095207179929531250000000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.986
Order of pole = 5.626
x[1] = -0.9749
y[1] (analytic) = -1.0792443626465491592933929425134
y[1] (numeric) = -1.0792443626465491595695749999844
absolute error = 2.761820574710e-19
relative error = 2.5590317358131912878177899999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9859
Order of pole = 5.626
x[1] = -0.9748
y[1] (analytic) = -1.0795765400411550040054386604998
y[1] (numeric) = -1.0795765400411550042828528691515
absolute error = 2.774142086517e-19
relative error = 2.5696576237301763987968640000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9858
Order of pole = 5.626
x[1] = -0.9747
y[1] (analytic) = -1.0799088537695969628692847770087
y[1] (numeric) = -1.0799088537695969631479322749345
absolute error = 2.786474979258e-19
relative error = 2.5802871876930698863535340000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9857
Order of pole = 5.626
x[1] = -0.9746
y[1] (analytic) = -1.0802413039018256950326472789755
y[1] (numeric) = -1.080241303901825695312529205437
absolute error = 2.798819264615e-19
relative error = 2.5909204309312003612596399999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9856
Order of pole = 5.626
x[1] = -0.9745
y[1] (analytic) = -1.0805738905078349327086907029534
y[1] (numeric) = -1.0805738905078349329898081983818
absolute error = 2.811174954284e-19
relative error = 2.6015573566772359221395000000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9855
Order of pole = 5.626
x[1] = -0.9744
y[1] (analytic) = -1.0809066136576615121224977960324
y[1] (numeric) = -1.0809066136576615124048520020295
absolute error = 2.823542059971e-19
relative error = 2.6121979681634697652592640000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9854
Order of pole = 5.626
x[1] = -0.9743
y[1] (analytic) = -1.0812394734213854044829520030126
y[1] (numeric) = -1.0812394734213854047665440623522
absolute error = 2.835920593396e-19
relative error = 2.6228422686255115565321719999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9853
Order of pole = 5.626
x[1] = -0.9742
y[1] (analytic) = -1.0815724698691297469800562594995
y[1] (numeric) = -1.0815724698691297472648873161291
absolute error = 2.848310566296e-19
relative error = 2.6334902613050473971684479999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9852
Order of pole = 5.626
x[1] = -0.9741
y[1] (analytic) = -1.0819056030710608738077115946946
y[1] (numeric) = -1.0819056030710608740937827937363
absolute error = 2.860711990417e-19
relative error = 2.6441419494424274301507569999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9851
Order of pole = 5.626
x[1] = -0.974
y[1] (analytic) = -1.0822388730973883472119790717858
y[1] (numeric) = -1.082238873097388347499291559538
absolute error = 2.873124877522e-19
relative error = 2.6547973362840512893280000000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.985
Order of pole = 5.626
x[1] = -0.9739
y[1] (analytic) = -1.0825722800183649885648486180086
y[1] (numeric) = -1.0825722800183649888534035419466
absolute error = 2.885549239380e-19
relative error = 2.6654564250721891043002200000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9849
Order of pole = 5.626
x[1] = -0.9738
y[1] (analytic) = -1.0829058239042869094635383206297
y[1] (numeric) = -1.0829058239042869097533368294079
absolute error = 2.897985087782e-19
relative error = 2.6761192190597542128467039999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9848
Order of pole = 5.626
x[1] = -0.9737
y[1] (analytic) = -1.0832395048254935428553477893287
y[1] (numeric) = -1.0832395048254935431463910327817
absolute error = 2.910432434530e-19
relative error = 2.6867857215001233336350900000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9847
Order of pole = 5.626
x[1] = -0.9736
y[1] (analytic) = -1.08357332285236767418808920969
y[1] (numeric) = -1.0835733228523676744803783388333
absolute error = 2.922891291433e-19
relative error = 2.6974559356434356344468480000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9846
Order of pole = 5.626
x[1] = -0.9735
y[1] (analytic) = -1.0839072780553354725861197367877
y[1] (numeric) = -1.0839072780553354728796559038199
absolute error = 2.935361670322e-19
relative error = 2.7081298647504278074507499999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9845
Order of pole = 5.626
x[1] = -0.9734
y[1] (analytic) = -1.0842413705048665220519989021503
y[1] (numeric) = -1.0842413705048665223467832604542
absolute error = 2.947843583039e-19
relative error = 2.7188075120822636635292560000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9844
Order of pole = 5.626
x[1] = -0.9733
y[1] (analytic) = -1.084575600271473852693794731709
y[1] (numeric) = -1.0845756002714738529898284358526
absolute error = 2.960337041436e-19
relative error = 2.7294888808996026995419320000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9843
Order of pole = 5.626
x[1] = -0.9732
y[1] (analytic) = -1.0849099674257139719780622966908
y[1] (numeric) = -1.0849099674257139722753465024288
absolute error = 2.972842057380e-19
relative error = 2.7401739744672007916198400000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9842
Order of pole = 5.626
x[1] = -0.9731
y[1] (analytic) = -1.0852444720381868960085184437976
y[1] (numeric) = -1.0852444720381868963070543080728
absolute error = 2.985358642752e-19
relative error = 2.7508627960529736644200319999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9841
Order of pole = 5.626
memory used=53.4MB, alloc=4.4MB, time=3.59
x[1] = -0.973
y[1] (analytic) = -1.0855791141795361808304364754183
y[1] (numeric) = -1.0855791141795361811302251563631
absolute error = 2.997886809448e-19
relative error = 2.7615553489289044110160000000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.984
Order of pole = 5.626
x[1] = -0.9729
y[1] (analytic) = -1.0859138939204489537607845750593
y[1] (numeric) = -1.0859138939204489540618272319969
absolute error = 3.010426569376e-19
relative error = 2.7722516363682657863768640000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9839
Order of pole = 5.626
x[1] = -0.9728
y[1] (analytic) = -1.0862488113316559447441317976382
y[1] (numeric) = -1.0862488113316559450464295910836
absolute error = 3.022977934454e-19
relative error = 2.7829516616437682227118079999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9838
Order of pole = 5.626
x[1] = -0.9727
y[1] (analytic) = -1.0865838664839315177343454687777
y[1] (numeric) = -1.0865838664839315180378995604398
absolute error = 3.035540916621e-19
relative error = 2.7936554280376753621730430000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9836
Order of pole = 5.626
x[1] = -0.9726
y[1] (analytic) = -1.0869190594480937021021038617595
y[1] (numeric) = -1.0869190594480937024069154145416
absolute error = 3.048115527821e-19
relative error = 2.8043629388270600089854959999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9835
Order of pole = 5.626
x[1] = -0.9725
y[1] (analytic) = -1.0872543902950042240682480453333
y[1] (numeric) = -1.0872543902950042243743182233352
absolute error = 3.060701780019e-19
relative error = 2.8150741972985192736093749999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9834
Order of pole = 5.626
x[1] = -0.9724
y[1] (analytic) = -1.0875898590955685381629968201634
y[1] (numeric) = -1.0875898590955685384703267886825
absolute error = 3.073299685191e-19
relative error = 2.8257892067389564142259839999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9833
Order of pole = 5.626
x[1] = -0.9723
y[1] (analytic) = -1.087925465920735858711048686286
y[1] (numeric) = -1.0879254659207358590196396118184
absolute error = 3.085909255324e-19
relative error = 2.8365079704355715196907080000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9832
Order of pole = 5.626
x[1] = -0.9722
y[1] (analytic) = -1.0882612108414991913425948085855
y[1] (numeric) = -1.0882612108414991916524478588274
absolute error = 3.098530502419e-19
relative error = 2.8472304916786088917811119999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9831
Order of pole = 5.626
x[1] = -0.9721
y[1] (analytic) = -1.0885970939288953645302669719543
y[1] (numeric) = -1.0885970939288953648413833158039
absolute error = 3.111163438496e-19
relative error = 2.8579567737659365592490560000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.983
Order of pole = 5.626
x[1] = -0.972
y[1] (analytic) = -1.0889331152540050611520445424867
y[1] (numeric) = -1.0889331152540050614644253500449
absolute error = 3.123808075582e-19
relative error = 2.8686868199920056879360000000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9829
Order of pole = 5.626
x[1] = -0.9719
y[1] (analytic) = -1.0892692748879528500801444757677
y[1] (numeric) = -1.0892692748879528503937909183396
absolute error = 3.136464425719e-19
relative error = 2.8794206336551913441435209999997e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9828
Order of pole = 5.626
x[1] = -0.9718
y[1] (analytic) = -1.0896055729019072177959184380623
y[1] (numeric) = -1.0896055729019072181108316881591
absolute error = 3.149132500968e-19
relative error = 2.8901582180614486088165759999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9827
Order of pole = 5.626
x[1] = -0.9717
y[1] (analytic) = -1.0899420093670806000307811309804
y[1] (numeric) = -1.08994200936708060034696236232
absolute error = 3.161812313396e-19
relative error = 2.9008995765123647443749479999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9826
Order of pole = 5.626
x[1] = -0.9716
y[1] (analytic) = -1.0902785843547294134331939349839
y[1] (numeric) = -1.0902785843547294137506443224929
absolute error = 3.174503875090e-19
relative error = 2.9116447123179977816326400000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9825
Order of pole = 5.626
x[1] = -0.9715
y[1] (analytic) = -1.090615297936154087261728011937
y[1] (numeric) = -1.0906152979361540875804487317514
absolute error = 3.187207198144e-19
relative error = 2.9223936287849346567760000000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9824
Order of pole = 5.626
x[1] = -0.9714
y[1] (analytic) = -1.0909521501826990951042310317444
y[1] (numeric) = -1.0909521501826990954242232612117
absolute error = 3.199922294673e-19
relative error = 2.9331463292291204704455120000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9823
Order of pole = 5.626
x[1] = -0.9713
y[1] (analytic) = -1.091289141165752986623121713014
y[1] (numeric) = -1.0912891411657529869443866306941
absolute error = 3.212649176801e-19
relative error = 2.9439028169648389415796969999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9822
Order of pole = 5.626
x[1] = -0.9712
y[1] (analytic) = -1.0916262709567484193268363925805
y[1] (numeric) = -1.0916262709567484196493751782473
absolute error = 3.225387856668e-19
relative error = 2.9546630953111184782295039999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9821
Order of pole = 5.626
x[1] = -0.9711
y[1] (analytic) = -1.0919635396271621903674518636719
y[1] (numeric) = -1.0919635396271621906912656983145
absolute error = 3.238138346426e-19
relative error = 2.9654271675880527749016060000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.982
Order of pole = 5.626
memory used=57.2MB, alloc=4.4MB, time=3.86
x[1] = -0.971
y[1] (analytic) = -1.0923009472485152683645087474632
y[1] (numeric) = -1.0923009472485152686895988132875
absolute error = 3.250900658243e-19
relative error = 2.9761950371204522004730000000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9819
Order of pole = 5.626
x[1] = -0.9709
y[1] (analytic) = -1.0926384938923728252550596877582
y[1] (numeric) = -1.0926384938923728255814271681878
absolute error = 3.263674804296e-19
relative error = 2.9869667072314210337133839999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9818
Order of pole = 5.626
x[1] = -0.9708
y[1] (analytic) = -1.0929761796303442681699666835602
y[1] (numeric) = -1.0929761796303442684976127632385
absolute error = 3.276460796783e-19
relative error = 2.9977421812533303148920959999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9817
Order of pole = 5.626
x[1] = -0.9707
y[1] (analytic) = -1.0933140045340832713364718993496
y[1] (numeric) = -1.0933140045340832716653977641407
absolute error = 3.289258647911e-19
relative error = 3.0085214625168187413183730000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9816
Order of pole = 5.626
x[1] = -0.9706
y[1] (analytic) = -1.0936519686752878080070663179588
y[1] (numeric) = -1.0936519686752878083372731549489
absolute error = 3.302068369901e-19
relative error = 3.0193045543553581808062159999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9815
Order of pole = 5.626
x[1] = -0.9705
y[1] (analytic) = -1.0939900721257001824146806260473
y[1] (numeric) = -1.0939900721257001827461696235462
absolute error = 3.314889974989e-19
relative error = 3.0300914601061543735211249999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9814
Order of pole = 5.626
x[1] = -0.9704
y[1] (analytic) = -1.0943283149571070617542227473171
y[1] (numeric) = -1.0943283149571070620869950948596
absolute error = 3.327723475425e-19
relative error = 3.0408821831092183443071999999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9813
Order of pole = 5.626
x[1] = -0.9703
y[1] (analytic) = -1.0946666972413395081904864637697
y[1] (numeric) = -1.094666697241339508524543352117
absolute error = 3.340568883473e-19
relative error = 3.0516767267073530415624710000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9812
Order of pole = 5.626
x[1] = -0.9702
y[1] (analytic) = -1.0950052190502730108924555905039
y[1] (numeric) = -1.0950052190502730112277982116448
absolute error = 3.353426211409e-19
relative error = 3.0624750942443135115588720000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9811
Order of pole = 5.626
x[1] = -0.9701
y[1] (analytic) = -1.095343880455827518094028194772
y[1] (numeric) = -1.0953438804558275184306577419245
absolute error = 3.366295471525e-19
relative error = 3.0732772890684482035990250000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.981
Order of pole = 5.626
x[1] = -0.97
y[1] (analytic) = -1.0956826815299674691811853752658
y[1] (numeric) = -1.0956826815299674695191030428784
absolute error = 3.379176676126e-19
relative error = 3.0840833145299447980000000000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9809
Order of pole = 5.626
x[1] = -0.9699
y[1] (analytic) = -1.0960216223447018268056291428815
y[1] (numeric) = -1.0960216223447018271448361266347
absolute error = 3.392069837532e-19
relative error = 3.0948931739826430807036680000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9808
Order of pole = 5.626
x[1] = -0.9698
y[1] (analytic) = -1.0963607029720841090249139695209
y[1] (numeric) = -1.0963607029720841093654114663284
absolute error = 3.404974968075e-19
relative error = 3.1057068707812838986854000000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9807
Order of pole = 5.626
x[1] = -0.9697
y[1] (analytic) = -1.0966999234842124214690965968232
y[1] (numeric) = -1.0966999234842124218108858048335
absolute error = 3.417892080103e-19
relative error = 3.1165244082851459903829190000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9806
Order of pole = 5.626
x[1] = -0.9696
y[1] (analytic) = -1.0970392839532294895339287220883
y[1] (numeric) = -1.097039283953229489877010840686
absolute error = 3.430821185977e-19
relative error = 3.1273457898552952448286720000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9805
Order of pole = 5.626
x[1] = -0.9695
y[1] (analytic) = -1.0973787844513226906006172040446
y[1] (numeric) = -1.0973787844513226909449934338518
absolute error = 3.443762298072e-19
relative error = 3.1381710188554840989210000000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9804
Order of pole = 5.626
x[1] = -0.9694
y[1] (analytic) = -1.0977184250507240862821764565395
y[1] (numeric) = -1.0977184250507240866278479994172
absolute error = 3.456715428777e-19
relative error = 3.1490000986521382724293679999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9803
Order of pole = 5.626
x[1] = -0.9693
y[1] (analytic) = -1.0980582058237104546963977236815
y[1] (numeric) = -1.0980582058237104550433657827313
absolute error = 3.469680590498e-19
relative error = 3.1598330326170756093373860000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9802
Order of pole = 5.626
x[1] = -0.9692
y[1] (analytic) = -1.0983981268426033227654599554455
y[1] (numeric) = -1.0983981268426033231137257350104
absolute error = 3.482657795649e-19
relative error = 3.1706698241192948564853119999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9801
Order of pole = 5.626
x[1] = -0.9691
y[1] (analytic) = -1.0987381881797689985422070282586
y[1] (numeric) = -1.098738188179768998891771733925
absolute error = 3.495647056664e-19
relative error = 3.1815104765358925048863440000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=61.0MB, alloc=4.4MB, time=4.12
Real estimate of pole used
Radius of convergence = 0.98
Order of pole = 5.626
x[1] = -0.969
y[1] (analytic) = -1.0990783899076186035631160806292
y[1] (numeric) = -1.0990783899076186039139809192279
absolute error = 3.508648385987e-19
relative error = 3.1923549932429425822830000000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9799
Order of pole = 5.626
x[1] = -0.9689
y[1] (analytic) = -1.0994187320986081052279817594423
y[1] (numeric) = -1.0994187320986081055801479390501
absolute error = 3.521661796078e-19
relative error = 3.2032033776209465060059820000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9798
Order of pole = 5.626
x[1] = -0.9688
y[1] (analytic) = -1.099759214825238349206341198147
y[1] (numeric) = -1.0997592148252383495598099280882
absolute error = 3.534687299412e-19
relative error = 3.2140556330539077757808640000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9797
Order of pole = 5.626
x[1] = -0.9687
y[1] (analytic) = -1.1000998381600550918706645736844
y[1] (numeric) = -1.1000998381600550922254370645321
absolute error = 3.547724908477e-19
relative error = 3.2249117629274993598443310000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9796
Order of pole = 5.626
x[1] = -0.9686
y[1] (analytic) = -1.1004406021756490327563361146608
y[1] (numeric) = -1.1004406021756490331124135782382
absolute error = 3.560774635774e-19
relative error = 3.2357717706290519243025440000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9795
Order of pole = 5.626
x[1] = -0.9685
y[1] (analytic) = -1.1007815069446558470484504589538
y[1] (numeric) = -1.1007815069446558474058341083359
absolute error = 3.573836493821e-19
relative error = 3.2466356595511758543016250000004e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9794
Order of pole = 5.626
x[1] = -0.9684
y[1] (analytic) = -1.1011225525397562180954492846543
y[1] (numeric) = -1.1011225525397562184541403341688
absolute error = 3.586910495145e-19
relative error = 3.2575034330844785626780799999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9793
Order of pole = 5.626
x[1] = -0.9683
y[1] (analytic) = -1.1014637390336758699496231639866
y[1] (numeric) = -1.1014637390336758703096228292163
absolute error = 3.599996652297e-19
relative error = 3.2683750946311766195751389999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9792
Order of pole = 5.626
x[1] = -0.9682
y[1] (analytic) = -1.1018050664991855999345036156265
y[1] (numeric) = -1.1018050664991856002958131134097
absolute error = 3.613094977832e-19
relative error = 3.2792506475869165209925759999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9791
Order of pole = 5.626
x[1] = -0.9681
y[1] (analytic) = -1.1021465350091013112391703566291
y[1] (numeric) = -1.1021465350091013116017909050616
absolute error = 3.626205484325e-19
relative error = 3.2901300953552927533223249999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.979
Order of pole = 5.626
x[1] = -0.968
y[1] (analytic) = -1.1024881446362840455394987810185
y[1] (numeric) = -1.1024881446362840459034315994549
absolute error = 3.639328184364e-19
relative error = 3.3010134413414769684480000000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9789
Order of pole = 5.626
x[1] = -0.9679
y[1] (analytic) = -1.1028298954536400156463727179442
y[1] (numeric) = -1.1028298954536400160116190269992
absolute error = 3.652463090550e-19
relative error = 3.3119006889522062871214500000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9788
Order of pole = 5.626
x[1] = -0.9678
y[1] (analytic) = -1.1031717875341206381808875482002
y[1] (numeric) = -1.1031717875341206385474485697502
absolute error = 3.665610215500e-19
relative error = 3.3227918415984910435560000000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9787
Order of pole = 5.626
x[1] = -0.9677
y[1] (analytic) = -1.1035138209507225662765687838238
y[1] (numeric) = -1.1035138209507225666444457410082
absolute error = 3.678769571844e-19
relative error = 3.3336869026928803054856520000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9786
Order of pole = 5.626
x[1] = -0.9676
y[1] (analytic) = -1.1038559957764877223086312414344
y[1] (numeric) = -1.1038559957764877226778253586571
absolute error = 3.691941172227e-19
relative error = 3.3445858756512620392571519999997e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9785
Order of pole = 5.626
x[1] = -0.9675
y[1] (analytic) = -1.1041983120845033306503039659543
y[1] (numeric) = -1.1041983120845033310208164688854
absolute error = 3.705125029311e-19
relative error = 3.3554887638946599145781249999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9784
Order of pole = 5.626
x[1] = -0.9674
y[1] (analytic) = -1.1045407699479019504562460873593
y[1] (numeric) = -1.1045407699479019508280782029362
absolute error = 3.718321155769e-19
relative error = 3.3663955708437839222844560000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9783
Order of pole = 5.626
x[1] = -0.9673
y[1] (analytic) = -1.1048833694398615084730788191415
y[1] (numeric) = -1.1048833694398615088462317755703
absolute error = 3.731529564288e-19
relative error = 3.3773062999217367678024960000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9782
Order of pole = 5.626
x[1] = -0.9672
y[1] (analytic) = -1.1052261106336053318770588332361
y[1] (numeric) = -1.1052261106336053322515338599933
absolute error = 3.744750267572e-19
relative error = 3.3882209545567152205762560000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9781
Order of pole = 5.626
x[1] = -0.9671
y[1] (analytic) = -1.1055689936024021811389182722584
y[1] (numeric) = -1.105568993602402181514716600092
absolute error = 3.757983278336e-19
relative error = 3.3991395381765658185448960000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=64.8MB, alloc=4.4MB, time=4.39
Real estimate of pole used
Radius of convergence = 0.978
Order of pole = 5.626
x[1] = -0.967
y[1] (analytic) = -1.1059120184195662829158966860222
y[1] (numeric) = -1.1059120184195662832930195469536
absolute error = 3.771228609314e-19
relative error = 3.4100620542160099207819999999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9779
Order of pole = 5.626
x[1] = -0.9669
y[1] (analytic) = -1.1062551851584573629709902054677
y[1] (numeric) = -1.1062551851584573633494388327929
absolute error = 3.784486273252e-19
relative error = 3.4209885061102960458148679999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9778
Order of pole = 5.626
x[1] = -0.9668
y[1] (analytic) = -1.1065984938924806791194432933107
y[1] (numeric) = -1.1065984938924806794992189216018
absolute error = 3.797756282911e-19
relative error = 3.4319188972979007046747520000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9777
Order of pole = 5.626
x[1] = -0.9667
y[1] (analytic) = -1.1069419446950870542025084369405
y[1] (numeric) = -1.1069419446950870545836123020469
absolute error = 3.811038651064e-19
relative error = 3.4428532312178038575266319999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9776
Order of pole = 5.626
x[1] = -0.9666
y[1] (analytic) = -1.1072855376397729090884991753378
y[1] (numeric) = -1.1072855376397729094709325143881
absolute error = 3.824333390503e-19
relative error = 3.4537915113158005218488880000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9775
Order of pole = 5.626
x[1] = -0.9665
y[1] (analytic) = -1.1076292728000802957011618780609
y[1] (numeric) = -1.107629272800080296084925929464
absolute error = 3.837640514031e-19
relative error = 3.4647337410372581810433750000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9774
Order of pole = 5.626
x[1] = -0.9664
y[1] (analytic) = -1.107973150249596930075391720649
y[1] (numeric) = -1.1079731502495969304604877240957
absolute error = 3.850960034467e-19
relative error = 3.4756799238316207943188479999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9773
Order of pole = 5.626
x[1] = -0.9663
y[1] (analytic) = -1.1083171700619562254403183271296
y[1] (numeric) = -1.1083171700619562258267475235942
absolute error = 3.864291964646e-19
relative error = 3.4866300631523930661295619999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9772
Order of pole = 5.626
x[1] = -0.9662
y[1] (analytic) = -1.1086613323108373253297865766799
y[1] (numeric) = -1.1086613323108373257175502084214
absolute error = 3.877636317415e-19
relative error = 3.4975841624535167731701200000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9771
Order of pole = 5.626
x[1] = -0.9661
y[1] (analytic) = -1.1090056370699651367202580978857
y[1] (numeric) = -1.1090056370699651371093574084493
absolute error = 3.890993105636e-19
relative error = 3.5085422251920657852577159999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.977
Order of pole = 5.626
x[1] = -0.966
y[1] (analytic) = -1.1093500844131103631961590004675
y[1] (numeric) = -1.1093500844131103635865952346862
absolute error = 3.904362342187e-19
relative error = 3.5195042548291331981519999999997e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9769
Order of pole = 5.626
x[1] = -0.9659
y[1] (analytic) = -1.109694674414089538142699420797
y[1] (numeric) = -1.1096946744140895385344738247931
absolute error = 3.917744039961e-19
relative error = 3.5304702548289145008110189999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9768
Order of pole = 5.626
x[1] = -0.9658
y[1] (analytic) = -1.1100394071467650579661904840128
y[1] (numeric) = -1.1100394071467650583593043051993
absolute error = 3.931138211865e-19
relative error = 3.5414402286577924341718800000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9767
Order of pole = 5.626
x[1] = -0.9657
y[1] (analytic) = -1.1103842826850452153418843120581
y[1] (numeric) = -1.1103842826850452157363387991399
absolute error = 3.944544870818e-19
relative error = 3.5524141797825229511194739999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9766
Order of pole = 5.626
x[1] = -0.9656
y[1] (analytic) = -1.1107293011028842324893627335076
y[1] (numeric) = -1.1107293011028842328851591364834
absolute error = 3.957964029758e-19
relative error = 3.5633921116765273283553280000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9765
Order of pole = 5.626
x[1] = -0.9655
y[1] (analytic) = -1.1110744624742822944755003776306
y[1] (numeric) = -1.1110744624742822948726399477941
absolute error = 3.971395701635e-19
relative error = 3.5743740278135721247231249999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9764
Order of pole = 5.626
x[1] = -0.9654
y[1] (analytic) = -1.1114197668732855825450278617354
y[1] (numeric) = -1.1114197668732855829435118516771
absolute error = 3.984839899417e-19
relative error = 3.5853599316731576496320880000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9763
Order of pole = 5.626
x[1] = -0.9653
y[1] (analytic) = -1.1117652143739863074787208074848
y[1] (numeric) = -1.1117652143739863078785504710929
absolute error = 3.998296636081e-19
relative error = 3.5963498267324043185062370000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9762
Order of pole = 5.626
x[1] = -0.9652
y[1] (analytic) = -1.1121108050505227429792404485295
y[1] (numeric) = -1.1121108050505227433804170409921
absolute error = 4.011765924626e-19
relative error = 3.6073437164777363174478080000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9761
Order of pole = 5.626
x[1] = -0.9651
y[1] (analytic) = -1.1124565389770792590846516185132
y[1] (numeric) = -1.112456538977079259487176396319
absolute error = 4.025247778058e-19
relative error = 3.6183416043913739541221580000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=68.6MB, alloc=4.4MB, time=4.65
Real estimate of pole used
Radius of convergence = 0.976
Order of pole = 5.626
x[1] = -0.965
y[1] (analytic) = -1.1128024162278863556096439352199
y[1] (numeric) = -1.1128024162278863560135181561604
absolute error = 4.038742209405e-19
relative error = 3.6293434939648101356249999999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9759
Order of pole = 5.626
x[1] = -0.9649
y[1] (analytic) = -1.1131484368772206956144820234009
y[1] (numeric) = -1.1131484368772206960197069465715
absolute error = 4.052249231706e-19
relative error = 3.6403493886889045379519939999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9758
Order of pole = 5.626
x[1] = -0.9648
y[1] (analytic) = -1.1134946009994051389017106456
y[1] (numeric) = -1.1134946009994051393082875314016
absolute error = 4.065768858016e-19
relative error = 3.6513592920583654016286720000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9757
Order of pole = 5.626
x[1] = -0.9647
y[1] (analytic) = -1.1138409086688087755406406371186
y[1] (numeric) = -1.1138409086688087759485707472589
absolute error = 4.079301101403e-19
relative error = 3.6623732075690406043812690000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9756
Order of pole = 5.626
x[1] = -0.9646
y[1] (analytic) = -1.1141873599598469594196415681089
y[1] (numeric) = -1.1141873599598469598289261656041
absolute error = 4.092845974952e-19
relative error = 3.6733911387214963769294719999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9755
Order of pole = 5.626
x[1] = -0.9645
y[1] (analytic) = -1.1145339549469813418262670826658
y[1] (numeric) = -1.1145339549469813422369074318422
absolute error = 4.106403491764e-19
relative error = 3.6844130890201031498745000000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9754
Order of pole = 5.626
x[1] = -0.9644
y[1] (analytic) = -1.1148806937047199050552388916971
y[1] (numeric) = -1.1148806937047199054672362581922
absolute error = 4.119973664951e-19
relative error = 3.6954390619685352602227840000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9753
Order of pole = 5.626
x[1] = -0.9643
y[1] (analytic) = -1.1152275763076169960443154232915
y[1] (numeric) = -1.1152275763076169964576710740559
absolute error = 4.133556507644e-19
relative error = 3.7064690610769358535843079999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9752
Order of pole = 5.626
x[1] = -0.9642
y[1] (analytic) = -1.1155746028302733600380711612802
y[1] (numeric) = -1.1155746028302733604527863645789
absolute error = 4.147152032987e-19
relative error = 3.7175030898565188190192560000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9751
Order of pole = 5.626
x[1] = -0.9641
y[1] (analytic) = -1.1159217733473361742796127296865
y[1] (numeric) = -1.1159217733473361746956887551005
absolute error = 4.160760254140e-19
relative error = 3.7285411518222458597749400000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.975
Order of pole = 5.626
x[1] = -0.964
y[1] (analytic) = -1.1162690879334990817302578077933
y[1] (numeric) = -1.1162690879334990821476959262207
absolute error = 4.174381184274e-19
relative error = 3.7395832504883318242559999999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9749
Order of pole = 5.626
x[1] = -0.9639
y[1] (analytic) = -1.1166165466635022248172029876213
y[1] (numeric) = -1.1166165466635022252360044712796
absolute error = 4.188014836583e-19
relative error = 3.7506293893789829760253770000004e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9748
Order of pole = 5.626
x[1] = -0.9638
y[1] (analytic) = -1.1169641496121322792092067127117
y[1] (numeric) = -1.1169641496121322796293728351383
absolute error = 4.201661224266e-19
relative error = 3.7616795720122566887591519999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9746
Order of pole = 5.626
x[1] = -0.9637
y[1] (analytic) = -1.1173118968542224876203134642215
y[1] (numeric) = -1.1173118968542224880418455002763
absolute error = 4.215320360548e-19
relative error = 3.7727338019188564574234440000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9745
Order of pole = 5.626
x[1] = -0.9636
y[1] (analytic) = -1.1176597884646526936416453875133
y[1] (numeric) = -1.1176597884646526940645446133793
absolute error = 4.228992258660e-19
relative error = 3.7837920826242080176089600000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9744
Order of pole = 5.626
x[1] = -0.9635
y[1] (analytic) = -1.1180078245183493756012875795929
y[1] (numeric) = -1.1180078245183493760255552727782
absolute error = 4.242676931853e-19
relative error = 3.7948544176609801454373750000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9743
Order of pole = 5.626
x[1] = -0.9634
y[1] (analytic) = -1.1183560050902856804522932849806
y[1] (numeric) = -1.1183560050902856808779307243196
absolute error = 4.256374393390e-19
relative error = 3.8059208105619103371925599999997e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9742
Order of pole = 5.626
x[1] = -0.9633
y[1] (analytic) = -1.1187043302554814576888352748434
y[1] (numeric) = -1.1187043302554814581158437404988
absolute error = 4.270084656554e-19
relative error = 3.8169912648669461283538979999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9741
Order of pole = 5.626
x[1] = -0.9632
y[1] (analytic) = -1.1190528000890032932905297115047
y[1] (numeric) = -1.1190528000890032937189104849685
absolute error = 4.283807734638e-19
relative error = 3.8280657841142880284835839999996e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.974
Order of pole = 5.626
x[1] = -0.9631
y[1] (analytic) = -1.1194014146659645436949588277513
y[1] (numeric) = -1.1194014146659645441247131918468
absolute error = 4.297543640955e-19
relative error = 3.8391443718493158614344050000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=72.4MB, alloc=4.4MB, time=4.91
Real estimate of pole used
Radius of convergence = 0.9739
Order of pole = 5.626
x[1] = -0.963
y[1] (analytic) = -1.1197501740615253697984187777124
y[1] (numeric) = -1.119750174061525370229548016595
absolute error = 4.311292388826e-19
relative error = 3.8502270316138511786219999999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9738
Order of pole = 5.626
x[1] = -0.9629
y[1] (analytic) = -1.120099078350892770984919043449
y[1] (numeric) = -1.1200990783508927714174244426085
absolute error = 4.325053991595e-19
relative error = 3.8613137669595447275864549999996e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9737
Order of pole = 5.626
x[1] = -0.9628
y[1] (analytic) = -1.1204481276093206191834598088093
y[1] (numeric) = -1.1204481276093206196173426550711
absolute error = 4.338828462618e-19
relative error = 3.8724045814380338936559359999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9736
Order of pole = 5.626
x[1] = -0.9627
y[1] (analytic) = -1.1207973219121096929536137395356
y[1] (numeric) = -1.1207973219121096933888753210621
absolute error = 4.352615815265e-19
relative error = 3.8834994786027173979889949999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9735
Order of pole = 5.626
x[1] = -0.9626
y[1] (analytic) = -1.1211466613346077115994386360798
y[1] (numeric) = -1.1211466613346077120360802423721
absolute error = 4.366416062923e-19
relative error = 3.8945984620114186122770479999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9734
Order of pole = 5.626
x[1] = -0.9625
y[1] (analytic) = -1.1214961459522093693117474530865
y[1] (numeric) = -1.1214961459522093697497703749861
absolute error = 4.380229218996e-19
relative error = 3.9057015352263688828125000000005e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9733
Order of pole = 5.626
x[1] = -0.9624
y[1] (analytic) = -1.1218457758403563693387622070341
y[1] (numeric) = -1.1218457758403563697781677367236
absolute error = 4.394055296895e-19
relative error = 3.9168087018052769864524799999997e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9732
Order of pole = 5.626
x[1] = -0.9623
y[1] (analytic) = -1.1221955510745374581851783210825
y[1] (numeric) = -1.1221955510745374586259677520885
absolute error = 4.407894310060e-19
relative error = 3.9279199653209307990120200000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9731
Order of pole = 5.626
x[1] = -0.9622
y[1] (analytic) = -1.1225454717302884598396659837837
y[1] (numeric) = -1.1225454717302884602818406109771
absolute error = 4.421746271934e-19
relative error = 3.9390353293380023410060319999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.973
Order of pole = 5.626
x[1] = -0.9621
y[1] (analytic) = -1.1228955378831923100308351259198
y[1] (numeric) = -1.122895537883192310474396245518
absolute error = 4.435611195982e-19
relative error = 3.9501547974299711367349020000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9729
Order of pole = 5.626
x[1] = -0.962
y[1] (analytic) = -1.1232457496088790905116906474093
y[1] (numeric) = -1.1232457496088790909566395569776
absolute error = 4.449489095683e-19
relative error = 3.9612783731719784384240000000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9728
Order of pole = 5.626
x[1] = -0.9619
y[1] (analytic) = -1.1235961069830260633726045538987
y[1] (numeric) = -1.1235961069830260638189425523517
absolute error = 4.463379984530e-19
relative error = 3.9724060601408147889952699999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9727
Order of pole = 5.626
x[1] = -0.9618
y[1] (analytic) = -1.1239466100813577053828316903851
y[1] (numeric) = -1.1239466100813577058305600779885
absolute error = 4.477283876034e-19
relative error = 3.9835378619184664832510880000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9726
Order of pole = 5.626
x[1] = -0.9617
y[1] (analytic) = -1.1242972589796457423605957869664
y[1] (numeric) = -1.1242972589796457428097158653381
absolute error = 4.491200783717e-19
relative error = 3.9946737820858714904560209999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9725
Order of pole = 5.626
x[1] = -0.9616
y[1] (analytic) = -1.1246480537537091835717725595984
y[1] (numeric) = -1.1246480537537091840222856317107
absolute error = 4.505130721123e-19
relative error = 4.0058138242326920500142080000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9724
Order of pole = 5.626
x[1] = -0.9615
y[1] (analytic) = -1.1249989944794143561571966365606
y[1] (numeric) = -1.1249989944794143566091040067413
absolute error = 4.519073701807e-19
relative error = 4.0169579919475133953586250000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9723
Order of pole = 5.626
x[1] = -0.9614
y[1] (analytic) = -1.1253500812326749395886191091732
y[1] (numeric) = -1.1253500812326749400419220831071
absolute error = 4.533029739339e-19
relative error = 4.0281062888213899836134159999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9722
Order of pole = 5.626
x[1] = -0.9613
y[1] (analytic) = -1.1257013140894520001533425331939
y[1] (numeric) = -1.1257013140894520006080424179247
absolute error = 4.546998847308e-19
relative error = 4.0392587184513850789532759999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9721
Order of pole = 5.626
x[1] = -0.9612
y[1] (analytic) = -1.1260526931257540254675602352343
y[1] (numeric) = -1.1260526931257540259236583391658
absolute error = 4.560981039315e-19
relative error = 4.0504152844343350575043199999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.972
Order of pole = 5.626
x[1] = -0.9611
y[1] (analytic) = -1.1264042184176369590184268064764
y[1] (numeric) = -1.1264042184176369594759244393744
absolute error = 4.574976328980e-19
relative error = 4.0615759903730542977763800000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=76.2MB, alloc=4.4MB, time=5.18
Real estimate of pole used
Radius of convergence = 0.9719
Order of pole = 5.626
x[1] = -0.961
y[1] (analytic) = -1.1267558900412042347348866939516
y[1] (numeric) = -1.126755890041204235193785166945
absolute error = 4.588984729934e-19
relative error = 4.0727408398692158870540000000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9718
Order of pole = 5.626
x[1] = -0.9609
y[1] (analytic) = -1.1271077080726068115872878276464
y[1] (numeric) = -1.1271077080726068120475884532291
absolute error = 4.603006255827e-19
relative error = 4.0839098365304412663634829999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9717
Order of pole = 5.626
x[1] = -0.9608
y[1] (analytic) = -1.127459672588043208215807249745
y[1] (numeric) = -1.1274596725880432086775113417775
absolute error = 4.617040920325e-19
relative error = 4.0950829839676201422463999999997e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9716
Order of pole = 5.626
x[1] = -0.9607
y[1] (analytic) = -1.1278117836637595375877157403877
y[1] (numeric) = -1.1278117836637595380508246140987
absolute error = 4.631088737110e-19
relative error = 4.1062602857948954160607300000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9715
Order of pole = 5.626
x[1] = -0.9606
y[1] (analytic) = -1.1281640413760495416835084624301
y[1] (numeric) = -1.1281640413760495421480234344177
absolute error = 4.645149719876e-19
relative error = 4.1174417456261025418100160000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9714
Order of pole = 5.626
x[1] = -0.9605
y[1] (analytic) = -1.1285164458012546262119286758235
y[1] (numeric) = -1.128516445801254626677851064057
absolute error = 4.659223882335e-19
relative error = 4.1286273670800767304918750000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9713
Order of pole = 5.626
x[1] = -0.9604
y[1] (analytic) = -1.128868997015763895353911600407
y[1] (numeric) = -1.1288689970157638958212427242286
absolute error = 4.673311238216e-19
relative error = 4.1398171537797493038986240000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9712
Order of pole = 5.626
x[1] = -0.9603
y[1] (analytic) = -1.1292216950960141865354755341042
y[1] (numeric) = -1.1292216950960141870042167142303
absolute error = 4.687411801261e-19
relative error = 4.1510111093485890253252470000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9711
Order of pole = 5.626
x[1] = -0.9602
y[1] (analytic) = -1.1295745401184901052295873617465
y[1] (numeric) = -1.1295745401184901056997399202694
absolute error = 4.701525585229e-19
relative error = 4.1622092374141323949026320000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.971
Order of pole = 5.626
x[1] = -0.9601
y[1] (analytic) = -1.129927532159724059787029618016
y[1] (numeric) = -1.1299275321597240602585948784057
absolute error = 4.715652603897e-19
relative error = 4.1734115416088522793974969999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9709
Order of pole = 5.626
x[1] = -0.96
y[1] (analytic) = -1.1302806712962962962962962962964
y[1] (numeric) = -1.1302806712962962967692755834018
absolute error = 4.729792871054e-19
relative error = 4.1846180255648317439999999999996e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9708
Order of pole = 5.626
x[1] = -0.9599
y[1] (analytic) = -1.1306339576048349334725446235507
y[1] (numeric) = -1.1306339576048349339469392636015
absolute error = 4.743946400508e-19
relative error = 4.1958286929199458243898919999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9707
Order of pole = 5.626
x[1] = -0.9598
y[1] (analytic) = -1.13098739116201599757563004971
y[1] (numeric) = -1.1309873911620159980514413703182
absolute error = 4.758113206082e-19
relative error = 4.2070435473143056842777440000004e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9706
Order of pole = 5.626
x[1] = -0.9597
y[1] (analytic) = -1.1313409720445634573572517284508
y[1] (numeric) = -1.1313409720445634578344810586118
absolute error = 4.772293301610e-19
relative error = 4.2182625923867094197685300000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9705
Order of pole = 5.626
x[1] = -0.9596
y[1] (analytic) = -1.1316947003292492590372357946666
y[1] (numeric) = -1.1316947003292492595158844647616
absolute error = 4.786486700950e-19
relative error = 4.2294858317861212248992000000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9704
Order of pole = 5.626
x[1] = -0.9595
y[1] (analytic) = -1.1320485760928933613089837724047
y[1] (numeric) = -1.1320485760928933617890531142018
absolute error = 4.800693417971e-19
relative error = 4.2407132691601618074736250000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9703
Order of pole = 5.626
x[1] = -0.9594
y[1] (analytic) = -1.1324025994123637703741134755251
y[1] (numeric) = -1.132402599412363770855604822181
absolute error = 4.814913466559e-19
relative error = 4.2519449081603988496744560000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9702
Order of pole = 5.626
x[1] = -0.9593
y[1] (analytic) = -1.1327567703645765750063197918713
y[1] (numeric) = -1.1327567703645765754892344779328
absolute error = 4.829146860615e-19
relative error = 4.2631807524405651202970550000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9701
Order of pole = 5.626
x[1] = -0.9592
y[1] (analytic) = -1.1331110890264959816444827702975
y[1] (numeric) = -1.1331110890264959821288221317033
absolute error = 4.843393614058e-19
relative error = 4.2744208056591925425879040000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.97
Order of pole = 5.626
x[1] = -0.9591
y[1] (analytic) = -1.1334655554751343495150504584912
y[1] (numeric) = -1.1334655554751343500008158325731
absolute error = 4.857653740819e-19
relative error = 4.2856650714743010554261489999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=80.1MB, alloc=4.4MB, time=5.44
Real estimate of pole used
Radius of convergence = 0.9699
Order of pole = 5.626
x[1] = -0.959
y[1] (analytic) = -1.1338201697875522257837239681508
y[1] (numeric) = -1.1338201697875522262709166936359
absolute error = 4.871927254851e-19
relative error = 4.2969135535522090072289999999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9698
Order of pole = 5.626
x[1] = -0.9589
y[1] (analytic) = -1.1341749320408583807364722727404
y[1] (numeric) = -1.1341749320408583812250936897523
absolute error = 4.886214170119e-19
relative error = 4.3081662555586930419428110000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9697
Order of pole = 5.626
x[1] = -0.9588
y[1] (analytic) = -1.1345298423122098429899042717286
y[1] (numeric) = -1.1345298423122098434799557217889
absolute error = 4.900514500603e-19
relative error = 4.3194231811616230424396160000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9696
Order of pole = 5.626
x[1] = -0.9587
y[1] (analytic) = -1.1348849006788119347310256839443
y[1] (numeric) = -1.1348849006788119352225085099745
absolute error = 4.914828260302e-19
relative error = 4.3306843340344732655309059999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9695
Order of pole = 5.626
x[1] = -0.9586
y[1] (analytic) = -1.1352401072179183069864083614385
y[1] (numeric) = -1.1352401072179183074793239077615
absolute error = 4.929155463230e-19
relative error = 4.3419497178527799040008799999997e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9694
Order of pole = 5.626
x[1] = -0.9585
y[1] (analytic) = -1.1355954620068309749207996440291
y[1] (numeric) = -1.1355954620068309754151492563709
absolute error = 4.943496123418e-19
relative error = 4.3532193362958888505042500000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9693
Order of pole = 5.626
x[1] = -0.9584
y[1] (analytic) = -1.1359509651229003531651994035282
y[1] (numeric) = -1.1359509651229003536609844290192
absolute error = 4.957850254910e-19
relative error = 4.3644931930434182475366399999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9692
Order of pole = 5.626
x[1] = -0.9583
y[1] (analytic) = -1.1363066166435252911744324555052
y[1] (numeric) = -1.1363066166435252916716542426821
absolute error = 4.972217871769e-19
relative error = 4.3757712917805281046997030000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9691
Order of pole = 5.626
x[1] = -0.9582
y[1] (analytic) = -1.136662416646153108614244045331
y[1] (numeric) = -1.1366624166461531091129039441384
absolute error = 4.986598988074e-19
relative error = 4.3870536361952620903012320000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.969
Order of pole = 5.626
x[1] = -0.9581
y[1] (analytic) = -1.1370183652082796307779461441654
y[1] (numeric) = -1.1370183652082796312780455059572
absolute error = 5.000993617918e-19
relative error = 4.3983402299767737884028379999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9689
Order of pole = 5.626
x[1] = -0.958
y[1] (analytic) = -1.1373744624074492240326423195072
y[1] (numeric) = -1.1373744624074492245341824970486
absolute error = 5.015401775414e-19
relative error = 4.4096310768205900155680000000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9688
Order of pole = 5.626
x[1] = -0.9579
y[1] (analytic) = -1.1377307083212548312950589739152
y[1] (numeric) = -1.1377307083212548317980413213838
absolute error = 5.029823474686e-19
relative error = 4.4209261804206800980017539999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9687
Order of pole = 5.626
x[1] = -0.9578
y[1] (analytic) = -1.138087103027338007537010774525
y[1] (numeric) = -1.138087103027338008041436647513
absolute error = 5.044258729880e-19
relative error = 4.4322255444791133747337600000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9686
Order of pole = 5.626
x[1] = -0.9577
y[1] (analytic) = -1.1384436466033889553205281250487
y[1] (numeric) = -1.138443646603388955826398880564
absolute error = 5.058707555153e-19
relative error = 4.4435291726963739183190490000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9685
Order of pole = 5.626
x[1] = -0.9576
y[1] (analytic) = -1.1388003391271465603626745610227
y[1] (numeric) = -1.1388003391271465608699915574909
absolute error = 5.073169964682e-19
relative error = 4.4548370687792557723576320000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9684
Order of pole = 5.626
x[1] = -0.9575
y[1] (analytic) = -1.1391571806763984271300819782005
y[1] (numeric) = -1.1391571806763984276388465754664
absolute error = 5.087645972659e-19
relative error = 4.4661492364364535552031250000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9683
Order of pole = 5.626
x[1] = -0.9574
y[1] (analytic) = -1.1395141713289809144632316331334
y[1] (numeric) = -1.1395141713289809149734451924625
absolute error = 5.102135593291e-19
relative error = 4.4774656793785491644581839999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9682
Order of pole = 5.626
x[1] = -0.9573
y[1] (analytic) = -1.1398713111627791712305088841756
y[1] (numeric) = -1.139871311162779171742172768256
absolute error = 5.116638840804e-19
relative error = 4.4887864013215076607556680000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9681
Order of pole = 5.626
x[1] = -0.9572
y[1] (analytic) = -1.1402286002557271720120596703713
y[1] (numeric) = -1.1402286002557271725251752433151
absolute error = 5.131155729438e-19
relative error = 4.5001114059822734111466240000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.968
Order of pole = 5.626
x[1] = -0.9571
y[1] (analytic) = -1.1405860386858077528134767549337
y[1] (numeric) = -1.1405860386858077533280453822788
absolute error = 5.145686273451e-19
relative error = 4.5114406970822651728643610000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=83.9MB, alloc=4.4MB, time=5.70
Real estimate of pole used
Radius of convergence = 0.9679
Order of pole = 5.626
x[1] = -0.957
y[1] (analytic) = -1.1409436265310526468093437893195
y[1] (numeric) = -1.1409436265310526473253668380312
absolute error = 5.160230487117e-19
relative error = 4.5227742783456057876810000000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9678
Order of pole = 5.626
x[1] = -0.9569
y[1] (analytic) = -1.1413013638695425201166652832218
y[1] (numeric) = -1.1413013638695425206341441216943
absolute error = 5.174788384725e-19
relative error = 4.5341121534982313795375250000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9677
Order of pole = 5.626
x[1] = -0.9568
y[1] (analytic) = -1.1416592507794070075982105951618
y[1] (numeric) = -1.14165925077940700811714659322
absolute error = 5.189359980582e-19
relative error = 4.5454543262705058846474240000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9676
Order of pole = 5.626
x[1] = -0.9567
y[1] (analytic) = -1.1420172873388247486958000877508
y[1] (numeric) = -1.1420172873388247492161946166519
absolute error = 5.203945289011e-19
relative error = 4.5568008003954524323668929999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9675
Order of pole = 5.626
x[1] = -0.9566
y[1] (analytic) = -1.1423754736260234232935616211163
y[1] (numeric) = -1.1423754736260234238154160535516
absolute error = 5.218544324353e-19
relative error = 4.5681515796104895102280880000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9674
Order of pole = 5.626
x[1] = -0.9565
y[1] (analytic) = -1.1427338097192797876111855874461
y[1] (numeric) = -1.1427338097192797881345012975421
absolute error = 5.233157100960e-19
relative error = 4.5795066676512879971399999999997e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9673
Order of pole = 5.626
x[1] = -0.9564
y[1] (analytic) = -1.143092295696919710127206719092
y[1] (numeric) = -1.143092295696919710651985082413
absolute error = 5.247783633210e-19
relative error = 4.5908660682648857767622400000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9672
Order of pole = 5.626
x[1] = -0.9563
y[1] (analytic) = -1.143450931637318207532340932208
y[1] (numeric) = -1.1434509316373182080585833257567
absolute error = 5.262423935487e-19
relative error = 4.6022297851921685677033889999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9671
Order of pole = 5.626
x[1] = -0.9562
y[1] (analytic) = -1.1438097176188994807129054974461
y[1] (numeric) = -1.1438097176188994812406132996662
absolute error = 5.277078022201e-19
relative error = 4.6135978221853545449739280000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.967
Order of pole = 5.626
x[1] = -0.9561
y[1] (analytic) = -1.14416865372013695076435085884
y[1] (numeric) = -1.144168653720136951293525449617
absolute error = 5.291745907770e-19
relative error = 4.6249701829922341658873700000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9669
Order of pole = 5.626
x[1] = -0.956
y[1] (analytic) = -1.1445277400195532950349324516209
y[1] (numeric) = -1.1445277400195532955655752122845
absolute error = 5.306427606636e-19
relative error = 4.6363468713701462069760000000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9668
Order of pole = 5.626
x[1] = -0.9559
y[1] (analytic) = -1.1448869765957204831995508993842
y[1] (numeric) = -1.1448869765957204837316632127095
absolute error = 5.321123133253e-19
relative error = 4.6477278910754709248683870000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9667
Order of pole = 5.626
x[1] = -0.9558
y[1] (analytic) = -1.1452463635272598133637890007116
y[1] (numeric) = -1.1452463635272598138973722509208
absolute error = 5.335832502092e-19
relative error = 4.6591132458679869385823039999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9666
Order of pole = 5.626
x[1] = -0.9557
y[1] (analytic) = -1.145605900892841948198173945089
y[1] (numeric) = -1.1456059008928419487332295178535
absolute error = 5.350555727645e-19
relative error = 4.6705029395143469987529850000005e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9665
Order of pole = 5.626
x[1] = -0.9556
y[1] (analytic) = -1.145965588771186951102693227725
y[1] (numeric) = -1.1459655887711869516392225101663
absolute error = 5.365292824413e-19
relative error = 4.6818969757775851694014080000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9664
Order of pole = 5.626
x[1] = -0.9555
y[1] (analytic) = -1.1463254272410643224015927626673
y[1] (numeric) = -1.1463254272410643229395971433594
absolute error = 5.380043806921e-19
relative error = 4.6932953584301972694438750000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9663
Order of pole = 5.626
x[1] = -0.9554
y[1] (analytic) = -1.1466854163812930355684857234577
y[1] (numeric) = -1.1466854163812930361079665924285
absolute error = 5.394808689708e-19
relative error = 4.7046980912453947032285120000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9662
Order of pole = 5.626
x[1] = -0.9553
y[1] (analytic) = -1.1470455562707415734818006704233
y[1] (numeric) = -1.147045556270741574022759419156
absolute error = 5.409587487327e-19
relative error = 4.7161051779970927880072790000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9661
Order of pole = 5.626
x[1] = -0.9552
y[1] (analytic) = -1.1474058469883279647105975536087
y[1] (numeric) = -1.1474058469883279652530355750439
absolute error = 5.424380214352e-19
relative error = 4.7275166224659998101340159999996e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.966
Order of pole = 5.626
x[1] = -0.9551
y[1] (analytic) = -1.1477662886130198198307802102902
y[1] (numeric) = -1.1477662886130198203746988988277
absolute error = 5.439186885375e-19
relative error = 4.7389324284369820213166250000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=87.7MB, alloc=4.4MB, time=5.96
Real estimate of pole used
Radius of convergence = 0.9659
Order of pole = 5.626
x[1] = -0.955
y[1] (analytic) = -1.1481268812238343677717340059826
y[1] (numeric) = -1.1481268812238343683171347574823
absolute error = 5.454007514997e-19
relative error = 4.7503525996912076733750000000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9658
Order of pole = 5.626
x[1] = -0.9549
y[1] (analytic) = -1.1484876248998384921934172978508
y[1] (numeric) = -1.1484876248998384927403015096351
absolute error = 5.468842117843e-19
relative error = 4.7617771400192028870866070000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9656
Order of pole = 5.626
x[1] = -0.9548
y[1] (analytic) = -1.1488485197201487678939354294867
y[1] (numeric) = -1.1488485197201487684423045003421
absolute error = 5.483690708554e-19
relative error = 4.7732060532138628642599680000004e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9655
Order of pole = 5.626
x[1] = -0.9547
y[1] (analytic) = -1.1492095657639314972476259960776
y[1] (numeric) = -1.149209565763931497797481326256
absolute error = 5.498553301784e-19
relative error = 4.7846393430678270615162320000004e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9654
Order of pole = 5.626
x[1] = -0.9546
y[1] (analytic) = -1.1495707631104027466736841491051
y[1] (numeric) = -1.1495707631104027472250271403257
absolute error = 5.513429912206e-19
relative error = 4.7960770133786883065192159999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9653
Order of pole = 5.626
x[1] = -0.9545
y[1] (analytic) = -1.1499321118388283831353567398577
y[1] (numeric) = -1.149932111838828383688188795309
absolute error = 5.528320554513e-19
relative error = 4.8075190679498440002596250000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9652
Order of pole = 5.626
x[1] = -0.9544
y[1] (analytic) = -1.1502936120285241106697341312189
y[1] (numeric) = -1.1502936120285241112240566555598
absolute error = 5.543225243409e-19
relative error = 4.8189655105826522615362559999997e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9651
Order of pole = 5.626
x[1] = -0.9543
y[1] (analytic) = -1.1506552637588555069481685374008
y[1] (numeric) = -1.1506552637588555075039829367631
absolute error = 5.558143993623e-19
relative error = 4.8304163450885914521533610000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.965
Order of pole = 5.626
x[1] = -0.9542
y[1] (analytic) = -1.1510170671092380598673477815515
y[1] (numeric) = -1.1510170671092380604246554635405
absolute error = 5.573076819890e-19
relative error = 4.8418715752727264668703199999997e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9649
Order of pole = 5.626
x[1] = -0.9541
y[1] (analytic) = -1.1513790221591372041710533914337
y[1] (numeric) = -1.1513790221591372047298557651311
absolute error = 5.588023736974e-19
relative error = 4.8533312049536841753640540000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9648
Order of pole = 5.626
x[1] = -0.954
y[1] (analytic) = -1.1517411289880683581026319837056
y[1] (numeric) = -1.1517411289880683586629304596702
absolute error = 5.602984759646e-19
relative error = 4.8647952379445199049439999999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9647
Order of pole = 5.626
x[1] = -0.9539
y[1] (analytic) = -1.1521033876755969600882089176724
y[1] (numeric) = -1.1521033876755969606500049079424
absolute error = 5.617959902700e-19
relative error = 4.8762636780666031342112999999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9646
Order of pole = 5.626
x[1] = -0.9538
y[1] (analytic) = -1.1524657983013385054506732297769
y[1] (numeric) = -1.1524657983013385060139681478715
absolute error = 5.632949180946e-19
relative error = 4.8877365291435197795529120000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9645
Order of pole = 5.626
x[1] = -0.9537
y[1] (analytic) = -1.1528283609449585831544628905137
y[1] (numeric) = -1.1528283609449585837192581514346
absolute error = 5.647952609209e-19
relative error = 4.8992137950001905519619770000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9644
Order of pole = 5.626
x[1] = -0.9536
y[1] (analytic) = -1.1531910756861729125811794559107
y[1] (numeric) = -1.1531910756861729131474764761439
absolute error = 5.662970202332e-19
relative error = 4.9106954794654595987537919999996e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9643
Order of pole = 5.626
x[1] = -0.9535
y[1] (analytic) = -1.1535539426047473803360612162169
y[1] (numeric) = -1.1535539426047473809038614137348
absolute error = 5.678001975179e-19
relative error = 4.9221815863746782463871250000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9642
Order of pole = 5.626
x[1] = -0.9534
y[1] (analytic) = -1.1539169617804980770853439749626
y[1] (numeric) = -1.1539169617804980776546487692249
absolute error = 5.693047942623e-19
relative error = 4.9336721195592846457123919999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9641
Order of pole = 5.626
x[1] = -0.9533
y[1] (analytic) = -1.154280133293291334424538622118
y[1] (numeric) = -1.1542801332932913349953494340743
absolute error = 5.708108119563e-19
relative error = 4.9451670828615269490350310000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.964
Order of pole = 5.626
x[1] = -0.9532
y[1] (analytic) = -1.1546434572230437617776546956836
y[1] (numeric) = -1.1546434572230437623499729477745
absolute error = 5.723182520909e-19
relative error = 4.9566664801214445044021120000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9639
Order of pole = 5.626
x[1] = -0.9531
y[1] (analytic) = -1.1550069336497222833273991566699
y[1] (numeric) = -1.155006933649722283901226272829
absolute error = 5.738271161591e-19
relative error = 4.9681703151846526958109810000004e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=91.5MB, alloc=4.4MB, time=6.23
Real estimate of pole used
Radius of convergence = 0.9638
Order of pole = 5.626
x[1] = -0.953
y[1] (analytic) = -1.1553705626533441749763796331014
y[1] (numeric) = -1.1553705626533441755517170387568
absolute error = 5.753374056554e-19
relative error = 4.9796785918979957520579999999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9637
Order of pole = 5.626
x[1] = -0.9529
y[1] (analytic) = -1.1557343443139771013393414193794
y[1] (numeric) = -1.1557343443139771019161905414558
absolute error = 5.768491220764e-19
relative error = 4.9911913141147255021471959999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9636
Order of pole = 5.626
x[1] = -0.9528
y[1] (analytic) = -1.1560982787117391527664675480829
y[1] (numeric) = -1.1560982787117391533448298150032
absolute error = 5.783622669203e-19
relative error = 5.0027084856901555741762560000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9635
Order of pole = 5.626
x[1] = -0.9527
y[1] (analytic) = -1.1564623659267988823977712820586
y[1] (numeric) = -1.1564623659267988829776481237453
absolute error = 5.798768416867e-19
relative error = 5.0142301104799178981686609999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9634
Order of pole = 5.626
x[1] = -0.9526
y[1] (analytic) = -1.1568266060393753432486104054644
y[1] (numeric) = -1.1568266060393753438300032533418
absolute error = 5.813928478774e-19
relative error = 5.0257561923468668258158240000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9633
Order of pole = 5.626
x[1] = -0.9525
y[1] (analytic) = -1.15719099912973812532635272328
y[1] (numeric) = -1.1571909991297381259092630102754
absolute error = 5.829102869954e-19
relative error = 5.0372867351524152861562499999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9632
Order of pole = 5.626
x[1] = -0.9524
y[1] (analytic) = -1.1575555452782073927782222096744
y[1] (numeric) = -1.1575555452782073933626513702204
absolute error = 5.844291605460e-19
relative error = 5.0488217427660289652390400000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9631
Order of pole = 5.626
x[1] = -0.9523
y[1] (analytic) = -1.1579202445651539210703552765473
y[1] (numeric) = -1.1579202445651539216563047465832
absolute error = 5.859494700359e-19
relative error = 5.0603612190574301894814530000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.963
Order of pole = 5.626
x[1] = -0.9522
y[1] (analytic) = -1.1582850970709991341980966645064
y[1] (numeric) = -1.15828509707099913478556788148
absolute error = 5.874712169736e-19
relative error = 5.0719051679000400057329279999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9629
Order of pole = 5.626
x[1] = -0.9521
y[1] (analytic) = -1.1586501028762151419275644895386
y[1] (numeric) = -1.1586501028762151425165588924081
absolute error = 5.889944028695e-19
relative error = 5.0834535931718245241018949999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9628
Order of pole = 5.626
x[1] = -0.952
y[1] (analytic) = -1.1590152620613247770685140096572
y[1] (numeric) = -1.1590152620613247776590330388928
absolute error = 5.905190292356e-19
relative error = 5.0950064987526884372480000000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9627
Order of pole = 5.626
x[1] = -0.9519
y[1] (analytic) = -1.1593805747069016327785297068665
y[1] (numeric) = -1.1593805747069016333705748044519
absolute error = 5.920450975854e-19
relative error = 5.1065638885235985067615859999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9626
Order of pole = 5.626
x[1] = -0.9518
y[1] (analytic) = -1.1597460408935700998985753108844
y[1] (numeric) = -1.1597460408935701004921479203192
absolute error = 5.935726094348e-19
relative error = 5.1181257663743312696695359999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9625
Order of pole = 5.626
x[1] = -0.9517
y[1] (analytic) = -1.1601116607020054043199314221986
y[1] (numeric) = -1.1601116607020054049150329884994
absolute error = 5.951015663008e-19
relative error = 5.1296921361922423897503039999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9624
Order of pole = 5.626
x[1] = -0.9516
y[1] (analytic) = -1.1604774342129336443825504231962
y[1] (numeric) = -1.1604774342129336449791823928988
absolute error = 5.966319697026e-19
relative error = 5.1412630018717383627144960000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9623
Order of pole = 5.626
x[1] = -0.9515
y[1] (analytic) = -1.1608433615071318283048583973179
y[1] (numeric) = -1.1608433615071318289030222184788
absolute error = 5.981638211609e-19
relative error = 5.1528383673082243331428750000005e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9622
Order of pole = 5.626
x[1] = -0.9514
y[1] (analytic) = -1.161209442665427911645033807424
y[1] (numeric) = -1.161209442665427912244730929622
absolute error = 5.996971221980e-19
relative error = 5.1644182363989527033931199999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9621
Order of pole = 5.626
x[1] = -0.9513
y[1] (analytic) = -1.1615756777687008347937927158406
y[1] (numeric) = -1.1615756777687008353950245901792
absolute error = 6.012318743386e-19
relative error = 5.1760026130498964213880420000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.962
Order of pole = 5.626
x[1] = -0.9512
y[1] (analytic) = -1.1619420668978805604987103598679
y[1] (numeric) = -1.1619420668978805611014784389764
absolute error = 6.027680791085e-19
relative error = 5.1875915011645360598348799999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9619
Order of pole = 5.626
x[1] = -0.9511
y[1] (analytic) = -1.1623086101339481114201089278784
y[1] (numeric) = -1.1623086101339481120244146659142
absolute error = 6.043057380358e-19
relative error = 5.1991849046541770013194980000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=95.3MB, alloc=4.4MB, time=6.49
Real estimate of pole used
Radius of convergence = 0.9618
Order of pole = 5.626
x[1] = -0.951
y[1] (analytic) = -1.1626753075579356077185414125254
y[1] (numeric) = -1.1626753075579356083243862651753
absolute error = 6.058448526499e-19
relative error = 5.2107828274293252161490000000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9617
Order of pole = 5.626
x[1] = -0.9509
y[1] (analytic) = -1.1630421592509263046739014489988
y[1] (numeric) = -1.1630421592509263052812868734809
absolute error = 6.073854244821e-19
relative error = 5.2223852734048363605030090000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9616
Order of pole = 5.626
x[1] = -0.9508
y[1] (analytic) = -1.1634091652940546303361890777275
y[1] (numeric) = -1.1634091652940546309451165327931
absolute error = 6.089274550656e-19
relative error = 5.2339922464998978624798720000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9615
Order of pole = 5.626
x[1] = -0.9507
y[1] (analytic) = -1.1637763257685062232079624024225
y[1] (numeric) = -1.1637763257685062238184333483578
absolute error = 6.104709459353e-19
relative error = 5.2456037506362924792725790000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9614
Order of pole = 5.626
x[1] = -0.9506
y[1] (analytic) = -1.164143640755517969958505145885
y[1] (numeric) = -1.164143640755517970570521044513
absolute error = 6.120158986280e-19
relative error = 5.2572197897401011243164800000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9613
Order of pole = 5.626
x[1] = -0.9505
y[1] (analytic) = -1.1645111103363780431697401375742
y[1] (numeric) = -1.1645111103363780437833024522562
absolute error = 6.135623146820e-19
relative error = 5.2688403677382500776025000000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9612
Order of pole = 5.626
x[1] = -0.9504
y[1] (analytic) = -1.1648787345924259391139187985316
y[1] (numeric) = -1.1648787345924259397290289941692
absolute error = 6.151101956376e-19
relative error = 5.2804654885627908406640639999995e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9611
Order of pole = 5.626
x[1] = -0.9503
y[1] (analytic) = -1.1652465136050525155631167209025
y[1] (numeric) = -1.1652465136050525161797762639396
absolute error = 6.166595430371e-19
relative error = 5.2920951561508809365315170000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.961
Order of pole = 5.626
x[1] = -0.9502
y[1] (analytic) = -1.1656144474557000296305654709735
y[1] (numeric) = -1.1656144474557000302487758293975
absolute error = 6.182103584240e-19
relative error = 5.3037293744379013920339200000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9609
Order of pole = 5.626
x[1] = -0.9501
y[1] (analytic) = -1.1659825362258621756438507763545
y[1] (numeric) = -1.1659825362258621762636134196984
absolute error = 6.197626433439e-19
relative error = 5.3153681473651672136949389999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9608
Order of pole = 5.626
x[1] = -0.95
y[1] (analytic) = -1.1663507799970841230500072896924
y[1] (numeric) = -1.1663507799970841236713236890368
absolute error = 6.213163993444e-19
relative error = 5.3270114788790494999999999999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9607
Order of pole = 5.626
x[1] = -0.9499
y[1] (analytic) = -1.1667191788509625543525401530875
y[1] (numeric) = -1.1667191788509625549754117810621
absolute error = 6.228716279746e-19
relative error = 5.3386593729266707769812540000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9606
Order of pole = 5.626
x[1] = -0.9498
y[1] (analytic) = -1.1670877328691457030804036192079
y[1] (numeric) = -1.1670877328691457037048319499934
absolute error = 6.244283307855e-19
relative error = 5.3503118334593199715071600000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9605
Order of pole = 5.626
x[1] = -0.9497
y[1] (analytic) = -1.167456442133333391788967016962
y[1] (numeric) = -1.1674564421333333924149535262917
absolute error = 6.259865093297e-19
relative error = 5.3619688644298649599114810000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9604
Order of pole = 5.626
x[1] = -0.9496
y[1] (analytic) = -1.1678253067252770700929983814852
y[1] (numeric) = -1.1678253067252770707205445466472
absolute error = 6.275461651620e-19
relative error = 5.3736304697978766330163199999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9603
Order of pole = 5.626
x[1] = -0.9495
y[1] (analytic) = -1.1681943267267798527316961001354
y[1] (numeric) = -1.1681943267267798533608033999742
absolute error = 6.291072998388e-19
relative error = 5.3852966535244709716514999999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9602
Order of pole = 5.626
x[1] = -0.9494
y[1] (analytic) = -1.1685635022196965576657989581614
y[1] (numeric) = -1.1685635022196965582964688730796
absolute error = 6.306699149182e-19
relative error = 5.3969674195731511355086879999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9601
Order of pole = 5.626
x[1] = -0.9493
y[1] (analytic) = -1.1689328332859337442068049997206
y[1] (numeric) = -1.1689328332859337448390390116808
absolute error = 6.322340119602e-19
relative error = 5.4086427719115034226695140000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.96
Order of pole = 5.626
x[1] = -0.9492
y[1] (analytic) = -1.1693023200074497511783296519681
y[1] (numeric) = -1.1693023200074497518121292444947
absolute error = 6.337995925266e-19
relative error = 5.4203227145103243654478080000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9599
Order of pole = 5.626
x[1] = -0.9491
y[1] (analytic) = -1.1696719624662547351096335920234
y[1] (numeric) = -1.1696719624662547357450002502044
absolute error = 6.353666581810e-19
relative error = 5.4320072513436044027455100000004e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=99.1MB, alloc=4.4MB, time=6.76
Real estimate of pole used
Radius of convergence = 0.9598
Order of pole = 5.626
x[1] = -0.949
y[1] (analytic) = -1.170041760744410708461350868743
y[1] (numeric) = -1.1700417607444107090982860792317
absolute error = 6.369352104887e-19
relative error = 5.4436963863876568955629999999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9597
Order of pole = 5.626
x[1] = -0.9489
y[1] (analytic) = -1.1704117149240315778834478233831
y[1] (numeric) = -1.1704117149240315785219530744003
absolute error = 6.385052510172e-19
relative error = 5.4553901236253751781030679999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9596
Order of pole = 5.626
x[1] = -0.9488
y[1] (analytic) = -1.1707818250872831825054433854371
y[1] (numeric) = -1.1707818250872831831455201667725
absolute error = 6.400767813354e-19
relative error = 5.4670884670393778273402879999995e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9595
Order of pole = 5.626
x[1] = -0.9487
y[1] (analytic) = -1.1711520913163833322589213521592
y[1] (numeric) = -1.1711520913163833329005711551735
absolute error = 6.416498030143e-19
relative error = 5.4787914206179748122853289999996e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9594
Order of pole = 5.626
x[1] = -0.9486
y[1] (analytic) = -1.1715225136936018462323652925623
y[1] (numeric) = -1.1715225136936018468755896101888
absolute error = 6.432243176265e-19
relative error = 5.4904989883508792331188399999997e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9593
Order of pole = 5.626
x[1] = -0.9485
y[1] (analytic) = -1.1718930923012605910583467489811
y[1] (numeric) = -1.1718930923012605917031470757277
absolute error = 6.448003267466e-19
relative error = 5.5022111742326070555272500000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9592
Order of pole = 5.626
x[1] = -0.9484
y[1] (analytic) = -1.1722638272217335193330974416406
y[1] (numeric) = -1.1722638272217335199794752735914
absolute error = 6.463778319508e-19
relative error = 5.5139279822590459776632320000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9591
Order of pole = 5.626
x[1] = -0.9483
y[1] (analytic) = -1.1726347185374467080684962140495
y[1] (numeric) = -1.1726347185374467087164530488668
absolute error = 6.479568348173e-19
relative error = 5.5256494164308530315905509999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.959
Order of pole = 5.626
x[1] = -0.9482
y[1] (analytic) = -1.1730057663308783971765014894619
y[1] (numeric) = -1.1730057663308783978260388263883
absolute error = 6.495373369264e-19
relative error = 5.5373754807542881902283520000005e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9589
Order of pole = 5.626
x[1] = -0.9481
y[1] (analytic) = -1.173376970684559027986060041107
y[1] (numeric) = -1.1733769706845590286371793809664
absolute error = 6.511193398594e-19
relative error = 5.5491061792318194789127540000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9588
Order of pole = 5.626
x[1] = -0.948
y[1] (analytic) = -1.1737483316810712817925229113796
y[1] (numeric) = -1.1737483316810712824452257565801
absolute error = 6.527028452005e-19
relative error = 5.5608415158783050409600000000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9587
Order of pole = 5.626
x[1] = -0.9479
y[1] (analytic) = -1.1741198494030501184395993477254
y[1] (numeric) = -1.1741198494030501190938872022603
absolute error = 6.542878545349e-19
relative error = 5.5725814947047798086794110000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9586
Order of pole = 5.626
x[1] = -0.9478
y[1] (analytic) = -1.174491523933182814933879655516
y[1] (numeric) = -1.1744915239331828155897540249662
absolute error = 6.558743694502e-19
relative error = 5.5843261197303701885307040000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9585
Order of pole = 5.626
x[1] = -0.9477
y[1] (analytic) = -1.1748633553542090040919579008269
y[1] (numeric) = -1.1748633553542090047494202923623
absolute error = 6.574623915354e-19
relative error = 5.5960753949737582099688820000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9584
Order of pole = 5.626
x[1] = -0.9476
y[1] (analytic) = -1.1752353437489207132201854286717
y[1] (numeric) = -1.1752353437489207138792373510533
absolute error = 6.590519223816e-19
relative error = 5.6078293244591270454236159999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9583
Order of pole = 5.626
x[1] = -0.9475
y[1] (analytic) = -1.175607489200162402827086194935
y[1] (numeric) = -1.1756074892001624034877291585168
absolute error = 6.606429635818e-19
relative error = 5.6195879122144396109687499999997e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9582
Order of pole = 5.626
x[1] = -0.9474
y[1] (analytic) = -1.1759797917908310053684649429673
y[1] (numeric) = -1.1759797917908310060307004596981
absolute error = 6.622355167308e-19
relative error = 5.6313511622705707693225919999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9581
Order of pole = 5.626
x[1] = -0.9473
y[1] (analytic) = -1.1763522516038759640252392885656
y[1] (numeric) = -1.1763522516038759646890688719906
absolute error = 6.638295834250e-19
relative error = 5.6431190786595910770822500000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.958
Order of pole = 5.626
x[1] = -0.9472
y[1] (analytic) = -1.1767248687222992715140268098632
y[1] (numeric) = -1.1767248687222992721794519751261
absolute error = 6.654251652629e-19
relative error = 5.6548916654190024898641919999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9579
Order of pole = 5.626
x[1] = -0.9471
y[1] (analytic) = -1.1770976432291555089305182714884
y[1] (numeric) = -1.1770976432291555095975405353333
absolute error = 6.670222638449e-19
relative error = 5.6666689265900191749738390000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=102.9MB, alloc=4.4MB, time=7.03
Real estimate of pole used
Radius of convergence = 0.9578
Order of pole = 5.626
x[1] = -0.947
y[1] (analytic) = -1.1774705752075518846256681452278
y[1] (numeric) = -1.1774705752075518852942890260009
absolute error = 6.686208807731e-19
relative error = 5.6784508662158515689130000000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9577
Order of pole = 5.626
x[1] = -0.9469
y[1] (analytic) = -1.1778436647406482731147336223413
y[1] (numeric) = -1.1778436647406482737849546399929
absolute error = 6.702210176516e-19
relative error = 5.6902374883442387228778440000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9576
Order of pole = 5.626
x[1] = -0.9468
y[1] (analytic) = -1.1782169119116572540191933456292
y[1] (numeric) = -1.1782169119116572546910160217154
absolute error = 6.718226760862e-19
relative error = 5.7020287970248833786819840000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9575
Order of pole = 5.626
x[1] = -0.9467
y[1] (analytic) = -1.1785903168038441510415771223404
y[1] (numeric) = -1.1785903168038441517150029800251
absolute error = 6.734258576847e-19
relative error = 5.7138247963119827275148610000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9574
Order of pole = 5.626
x[1] = -0.9466
y[1] (analytic) = -1.1789638795005270709732379120399
y[1] (numeric) = -1.1789638795005270716482684760966
absolute error = 6.750305640567e-19
relative error = 5.7256254902625133300366319999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9573
Order of pole = 5.626
x[1] = -0.9465
y[1] (analytic) = -1.1793376000850769427350974166182
y[1] (numeric) = -1.179337600085076943411734213432
absolute error = 6.766367968138e-19
relative error = 5.7374308829379110115082499999997e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9572
Order of pole = 5.626
x[1] = -0.9464
y[1] (analytic) = -1.1797114786409175564513966327331
y[1] (numeric) = -1.1797114786409175571296411903026
absolute error = 6.782445575695e-19
relative error = 5.7492409784032045508940800000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9571
Order of pole = 5.626
x[1] = -0.9463
y[1] (analytic) = -1.1800855152515256025564827601155
y[1] (numeric) = -1.1800855152515256032363366080542
absolute error = 6.798538479387e-19
relative error = 5.7610557807227614122457890000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.957
Order of pole = 5.626
x[1] = -0.9462
y[1] (analytic) = -1.1804597100004307109346638923523
y[1] (numeric) = -1.180459710000430711616128561891
absolute error = 6.814646695387e-19
relative error = 5.7728752939687484628225359999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9569
Order of pole = 5.626
x[1] = -0.9461
y[1] (analytic) = -1.1808340629712154900931629499832
y[1] (numeric) = -1.1808340629712154907762399739718
absolute error = 6.830770239886e-19
relative error = 5.7846995222160268429733659999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9567
Order of pole = 5.626
x[1] = -0.946
y[1] (analytic) = -1.1812085742475155663682023490042
y[1] (numeric) = -1.1812085742475155670528932619136
absolute error = 6.846909129094e-19
relative error = 5.7965284695429826543840000000004e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9566
Order of pole = 5.626
x[1] = -0.9459
y[1] (analytic) = -1.1815832439130196231642509311699
y[1] (numeric) = -1.1815832439130196238505572690933
absolute error = 6.863063379234e-19
relative error = 5.8083621400264317964024860000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9565
Order of pole = 5.626
x[1] = -0.9458
y[1] (analytic) = -1.1819580720514694402264647158211
y[1] (numeric) = -1.1819580720514694409143880164769
absolute error = 6.879233006558e-19
relative error = 5.8202005377551476600228960000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9564
Order of pole = 5.626
x[1] = -0.9457
y[1] (analytic) = -1.1823330587466599329463530663456
y[1] (numeric) = -1.1823330587466599336358948690783
absolute error = 6.895418027327e-19
relative error = 5.8320436668129147978177109999996e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9563
Order of pole = 5.626
x[1] = -0.9456
y[1] (analytic) = -1.1827082040824391917007018977845
y[1] (numeric) = -1.1827082040824391923918637435675
absolute error = 6.911618457830e-19
relative error = 5.8438915312945899762892800000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9562
Order of pole = 5.626
x[1] = -0.9455
y[1] (analytic) = -1.1830835081427085212237855855604
y[1] (numeric) = -1.1830835081427085219165690169973
absolute error = 6.927834314369e-19
relative error = 5.8557441352933941952873750000005e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9561
Order of pole = 5.626
x[1] = -0.9454
y[1] (analytic) = -1.183458971011422480012899268786
y[1] (numeric) = -1.1834589710114224807073058301123
absolute error = 6.944065613263e-19
relative error = 5.8676014829042834974106319999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.956
Order of pole = 5.626
x[1] = -0.9453
y[1] (analytic) = -1.1838345927725889197672432751484
y[1] (numeric) = -1.1838345927725889204632745122342
absolute error = 6.960312370858e-19
relative error = 5.8794635782323816275868659999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9559
Order of pole = 5.626
x[1] = -0.9452
y[1] (analytic) = -1.184210373510269024860191427935
y[1] (numeric) = -1.1842103735102690255578488882863
absolute error = 6.976574603513e-19
relative error = 5.8913304253811299529223040000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9558
Order of pole = 5.626
x[1] = -0.9451
y[1] (analytic) = -1.1845863133085773518449750293705
y[1] (numeric) = -1.1845863133085773525442602621312
absolute error = 6.992852327607e-19
relative error = 5.9032020284581876227135570000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=106.8MB, alloc=4.4MB, time=7.29
Real estimate of pole used
Radius of convergence = 0.9557
Order of pole = 5.626
x[1] = -0.945
y[1] (analytic) = -1.1849624122516818689938143480878
y[1] (numeric) = -1.1849624122516818696947289040416
absolute error = 7.009145559538e-19
relative error = 5.9150783915745692152499999999997e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9556
Order of pole = 5.626
x[1] = -0.9449
y[1] (analytic) = -1.1853386704238039958705294722411
y[1] (numeric) = -1.1853386704238039965730749038137
absolute error = 7.025454315726e-19
relative error = 5.9269595188471585699213739999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9555
Order of pole = 5.626
x[1] = -0.9448
y[1] (analytic) = -1.1857150879092186429366624234968
y[1] (numeric) = -1.1857150879092186436408402847575
absolute error = 7.041778612607e-19
relative error = 5.9388454143936274564029440000004e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9554
Order of pole = 5.626
x[1] = -0.9447
y[1] (analytic) = -1.1860916647922542511911424609018
y[1] (numeric) = -1.1860916647922542518969543075652
absolute error = 7.058118466634e-19
relative error = 5.9507360823332656362509819999996e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9553
Order of pole = 5.626
x[1] = -0.9446
y[1] (analytic) = -1.1864684011572928318435265374349
y[1] (numeric) = -1.1864684011572928325509739268635
absolute error = 7.074473894286e-19
relative error = 5.9626315267945520294652959999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9552
Order of pole = 5.626
x[1] = -0.9445
y[1] (analytic) = -1.1868452970887700060208469058953
y[1] (numeric) = -1.1868452970887700067299313971008
absolute error = 7.090844912055e-19
relative error = 5.9745317519041749047868749999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9551
Order of pole = 5.626
x[1] = -0.9444
y[1] (analytic) = -1.187222352671175044508097904658
y[1] (numeric) = -1.1872223526711750452188210583037
absolute error = 7.107231536457e-19
relative error = 5.9864367617962882153994880000004e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.955
Order of pole = 5.626
x[1] = -0.9443
y[1] (analytic) = -1.1875995679890509075223939877584
y[1] (numeric) = -1.1875995679890509082347573661606
absolute error = 7.123633784022e-19
relative error = 5.9983465606040675582367540000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9549
Order of pole = 5.626
x[1] = -0.9442
y[1] (analytic) = -1.1879769431269942845208310977237
y[1] (numeric) = -1.1879769431269942852348362648539
absolute error = 7.140051671302e-19
relative error = 6.0102611524664340098721759999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9548
Order of pole = 5.626
x[1] = -0.9441
y[1] (analytic) = -1.1883544781696556340420835135776
y[1] (numeric) = -1.1883544781696556347577320350647
absolute error = 7.156485214871e-19
relative error = 6.0221805415280331378623909999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9547
Order of pole = 5.626
x[1] = -0.944
y[1] (analytic) = -1.1887321732017392235817683404827
y[1] (numeric) = -1.1887321732017392242990617836145
absolute error = 7.172934431318e-19
relative error = 6.0341047319333254021120000000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9546
Order of pole = 5.626
x[1] = -0.9439
y[1] (analytic) = -1.1891100283080031695016098415682
y[1] (numeric) = -1.1891100283080031702205497752935
absolute error = 7.189399337253e-19
relative error = 6.0460337278316203459973069999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9545
Order of pole = 5.626
x[1] = -0.9438
y[1] (analytic) = -1.1894880435732594769724358466121
y[1] (numeric) = -1.1894880435732594776930238415428
absolute error = 7.205879949307e-19
relative error = 6.0579675333770569901393040000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9544
Order of pole = 5.626
x[1] = -0.9437
y[1] (analytic) = -1.1898662190823740799510385064103
y[1] (numeric) = -1.1898662190823740806732761348229
absolute error = 7.222376284126e-19
relative error = 6.0699061527235416583250780000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9543
Order of pole = 5.626
x[1] = -0.9436
y[1] (analytic) = -1.1902445549202668811909316958613
y[1] (numeric) = -1.1902445549202668819148205316992
absolute error = 7.238888358379e-19
relative error = 6.0818495900314577250394239999997e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9542
Order of pole = 5.626
x[1] = -0.9435
y[1] (analytic) = -1.190623051171911792287037403042
y[1] (numeric) = -1.1906230511719117930125790219176
absolute error = 7.255416188756e-19
relative error = 6.0937978494659635897335000000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9541
Order of pole = 5.626
x[1] = -0.9434
y[1] (analytic) = -1.1910017079223367737543334758286
y[1] (numeric) = -1.1910017079223367744815294550247
absolute error = 7.271959791961e-19
relative error = 6.1057509351910957261863439999996e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.954
Order of pole = 5.626
x[1] = -0.9433
y[1] (analytic) = -1.1913805252566238751404951319346
y[1] (numeric) = -1.1913805252566238758693470504068
absolute error = 7.288519184722e-19
relative error = 6.1177088513781521211101139999996e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9539
Order of pole = 5.626
x[1] = -0.9432
y[1] (analytic) = -1.1917595032599092751725626726057
y[1] (numeric) = -1.1917595032599092759030721109843
absolute error = 7.305094383786e-19
relative error = 6.1296716022014732756244480000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9538
Order of pole = 5.626
x[1] = -0.9431
y[1] (analytic) = -1.1921386420173833219376678746061
y[1] (numeric) = -1.1921386420173833226698364151977
absolute error = 7.321685405916e-19
relative error = 6.1416391918359088881067559999997e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=110.6MB, alloc=4.4MB, time=7.56
Real estimate of pole used
Radius of convergence = 0.9537
Order of pole = 5.626
x[1] = -0.943
y[1] (analytic) = -1.1925179416142905730978515695743
y[1] (numeric) = -1.1925179416142905738316807963643
absolute error = 7.338292267900e-19
relative error = 6.1536116244643520952999999999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9536
Order of pole = 5.626
x[1] = -0.9429
y[1] (analytic) = -1.1928974021359298361390049543105
y[1] (numeric) = -1.1928974021359298368744964529647
absolute error = 7.354914986542e-19
relative error = 6.1655889042701700095932380000007e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9535
Order of pole = 5.626
x[1] = -0.9428
y[1] (analytic) = -1.1932770236676542086539672100746
y[1] (numeric) = -1.1932770236676542093911225679409
absolute error = 7.371553578663e-19
relative error = 6.1775710354380289604645759999997e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9534
Order of pole = 5.626
x[1] = -0.9427
y[1] (analytic) = -1.1936568062948711186598120435373
y[1] (numeric) = -1.1936568062948711193986328496485
absolute error = 7.388208061112e-19
relative error = 6.1895580221630957650610959999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9533
Order of pole = 5.626
x[1] = -0.9426
y[1] (analytic) = -1.1940367501030423649493557966344
y[1] (numeric) = -1.1940367501030423656898436417095
absolute error = 7.404878450751e-19
relative error = 6.2015498686384465429427760000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9532
Order of pole = 5.626
x[1] = -0.9425
y[1] (analytic) = -1.1944168551776841574769198072069
y[1] (numeric) = -1.1944168551776841582190762836531
absolute error = 7.421564764462e-19
relative error = 6.2135465790609185694687500000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9531
Order of pole = 5.626
x[1] = -0.9424
y[1] (analytic) = -1.1947971216043671577783797370013
y[1] (numeric) = -1.1947971216043671585222064389162
absolute error = 7.438267019149e-19
relative error = 6.2255481576327661358325760000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.953
Order of pole = 5.626
x[1] = -0.9423
y[1] (analytic) = -1.1951775494687165194255346183249
y[1] (numeric) = -1.1951775494687165201710331414985
absolute error = 7.454985231736e-19
relative error = 6.2375546085599664440727120000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9529
Order of pole = 5.626
x[1] = -0.9422
y[1] (analytic) = -1.1955581388564119285148284054142
y[1] (numeric) = -1.1955581388564119292620003473306
absolute error = 7.471719419164e-19
relative error = 6.2495659360496922855014720000004e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9528
Order of pole = 5.626
x[1] = -0.9421
y[1] (analytic) = -1.1959388898531876441904568513807
y[1] (numeric) = -1.1959388898531876449393038112203
absolute error = 7.488469598396e-19
relative error = 6.2615821443144788323605560000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9527
Order of pole = 5.626
x[1] = -0.942
y[1] (analytic) = -1.196319802544832539201892566443
y[1] (numeric) = -1.1963198025448325399524161450843
absolute error = 7.505235786413e-19
relative error = 6.2736032375688593827439999999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9526
Order of pole = 5.626
x[1] = -0.9419
y[1] (analytic) = -1.1967008770171901404958611480402
y[1] (numeric) = -1.1967008770171901412480629480622
absolute error = 7.522018000220e-19
relative error = 6.2856292200343638175529800000005e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9525
Order of pole = 5.626
x[1] = -0.9418
y[1] (analytic) = -1.1970821133561586698428013083506
y[1] (numeric) = -1.1970821133561586705966829340341
absolute error = 7.538816256835e-19
relative error = 6.2976600959303062922897200000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9524
Order of pole = 5.626
x[1] = -0.9417
y[1] (analytic) = -1.197463511647691084497841959701
y[1] (numeric) = -1.1974635116476910852534050170312
absolute error = 7.555630573302e-19
relative error = 6.3096958694846328719923259999993e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9523
Order of pole = 5.626
x[1] = -0.9416
y[1] (analytic) = -1.1978450719777951178963292533696
y[1] (numeric) = -1.1978450719777951186535753500381
absolute error = 7.572460966685e-19
relative error = 6.3217365449288866086937600000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9522
Order of pole = 5.626
x[1] = -0.9415
y[1] (analytic) = -1.1982267944325333203839366023284
y[1] (numeric) = -1.1982267944325333211428673477345
absolute error = 7.589307454061e-19
relative error = 6.3337821264923476467008749999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9521
Order of pole = 5.626
x[1] = -0.9414
y[1] (analytic) = -1.1986086790980230999813907535598
y[1] (numeric) = -1.1986086790980231007420077588133
absolute error = 7.606170052535e-19
relative error = 6.3458326184145391248080400000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.952
Order of pole = 5.626
x[1] = -0.9413
y[1] (analytic) = -1.1989907260604367631838470107227
y[1] (numeric) = -1.1989907260604367639461518886454
absolute error = 7.623048779227e-19
relative error = 6.3578880249343561870783190000004e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9519
Order of pole = 5.626
x[1] = -0.9412
y[1] (analytic) = -1.1993729354060015557949467431044
y[1] (numeric) = -1.1993729354060015565589411082322
absolute error = 7.639943651278e-19
relative error = 6.3699483502950573579907840000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9518
Order of pole = 5.626
x[1] = -0.9411
y[1] (analytic) = -1.1997553072209997037955903520162
y[1] (numeric) = -1.1997553072209997045612758206013
absolute error = 7.656854685851e-19
relative error = 6.3820135987450788455298810000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=114.4MB, alloc=4.4MB, time=7.82
Real estimate of pole used
Radius of convergence = 0.9517
Order of pole = 5.626
x[1] = -0.941
y[1] (analytic) = -1.2001378415917684542474589010426
y[1] (numeric) = -1.2001378415917684550148370910554
absolute error = 7.673781900128e-19
relative error = 6.3940837745355143154879999999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9516
Order of pole = 5.626
x[1] = -0.9409
y[1] (analytic) = -1.2005205386047001162313176518489
y[1] (numeric) = -1.2005205386047001170003901829799
absolute error = 7.690725311310e-19
relative error = 6.4061588819200983794469899999997e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9515
Order of pole = 5.626
x[1] = -0.9408
y[1] (analytic) = -1.2009033983462421018201347825909
y[1] (numeric) = -1.2009033983462421025909032762529
absolute error = 7.707684936620e-19
relative error = 6.4182389251576882161254400000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9514
Order of pole = 5.626
x[1] = -0.9407
y[1] (analytic) = -1.2012864209028969670870486013488
y[1] (numeric) = -1.2012864209028969678595146806786
absolute error = 7.724660793298e-19
relative error = 6.4303239085080809001576139999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9513
Order of pole = 5.626
x[1] = -0.9406
y[1] (analytic) = -1.201669606361222453148216602425
y[1] (numeric) = -1.201669606361222453922381892286
absolute error = 7.741652898610e-19
relative error = 6.4424138362394891677717600000006e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9512
Order of pole = 5.626
x[1] = -0.9405
y[1] (analytic) = -1.2020529548078315272405797488119
y[1] (numeric) = -1.2020529548078315280164458757951
absolute error = 7.758661269832e-19
relative error = 6.4545087126152051110889999999997e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9511
Order of pole = 5.626
x[1] = -0.9404
y[1] (analytic) = -1.2024364663293924238345753996302
y[1] (numeric) = -1.2024364663293924246121439920575
absolute error = 7.775685924273e-19
relative error = 6.4666085419127235104910719999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.951
Order of pole = 5.626
x[1] = -0.9403
y[1] (analytic) = -1.2028201410126286857818323368946
y[1] (numeric) = -1.20282014101262868656110502482
absolute error = 7.792726879254e-19
relative error = 6.4787133284062478673650579999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9509
Order of pole = 5.626
x[1] = -0.9402
y[1] (analytic) = -1.2032039789443192054978813815361
y[1] (numeric) = -1.2032039789443192062788597967478
absolute error = 7.809784152117e-19
relative error = 6.4908230763741633087345359999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9508
Order of pole = 5.626
x[1] = -0.9401
y[1] (analytic) = -1.2035879802112982661799151242489
y[1] (numeric) = -1.2035879802112982669626009002715
absolute error = 7.826857760226e-19
relative error = 6.5029377900998483882134259999995e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9507
Order of pole = 5.626
x[1] = -0.94
y[1] (analytic) = -1.2039721449004555830596303323926
y[1] (numeric) = -1.2039721449004555838440251044893
absolute error = 7.843947720967e-19
relative error = 6.5150574738716547280000000000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9506
Order of pole = 5.626
x[1] = -0.9399
y[1] (analytic) = -1.2043564730987363446911866298955
y[1] (numeric) = -1.2043564730987363454772920350695
absolute error = 7.861054051740e-19
relative error = 6.5271821319762441258162599999997e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9505
Order of pole = 5.626
x[1] = -0.9398
y[1] (analytic) = -1.2047409648931412542743150828522
y[1] (numeric) = -1.2047409648931412550621327598496
absolute error = 7.878176769974e-19
relative error = 6.5393117687110296390674080000004e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9504
Order of pole = 5.626
x[1] = -0.9397
y[1] (analytic) = -1.2051256203707265710126103593121
y[1] (numeric) = -1.2051256203707265718021419486232
absolute error = 7.895315893111e-19
relative error = 6.5514463883708693748178030000006e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9503
Order of pole = 5.626
x[1] = -0.9396
y[1] (analytic) = -1.2055104396186041515070401675813
y[1] (numeric) = -1.205510439618604152298287311443
absolute error = 7.912471438617e-19
relative error = 6.5635859952571828824789120000005e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9502
Order of pole = 5.626
x[1] = -0.9395
y[1] (analytic) = -1.2058954227239414911847057132486
y[1] (numeric) = -1.2058954227239414919776700556464
absolute error = 7.929643423978e-19
relative error = 6.5757305936746111872927500000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9501
Order of pole = 5.626
x[1] = -0.9394
y[1] (analytic) = -1.2062805697739617657628869510608
y[1] (numeric) = -1.2062805697739617665575701377308
absolute error = 7.946831866700e-19
relative error = 6.5878801879309991746327999999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.95
Order of pole = 5.626
x[1] = -0.9393
y[1] (analytic) = -1.2066658808559438727484064437377
y[1] (numeric) = -1.2066658808559438735448101221688
absolute error = 7.964036784311e-19
relative error = 6.6000347823390354487611269999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9499
Order of pole = 5.626
x[1] = -0.9392
y[1] (analytic) = -1.2070513560572224729723456758213
y[1] (numeric) = -1.2070513560572224737704714952571
absolute error = 7.981258194358e-19
relative error = 6.6121943812137467046871039999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9498
Order of pole = 5.626
x[1] = -0.9391
y[1] (analytic) = -1.2074369954651880321601477067006
y[1] (numeric) = -1.2074369954651880329599973181414
absolute error = 7.998496114408e-19
relative error = 6.6243589888733096815901679999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=118.2MB, alloc=4.4MB, time=8.08
Real estimate of pole used
Radius of convergence = 0.9497
Order of pole = 5.626
x[1] = -0.939
y[1] (analytic) = -1.207822799167286862537140083043
y[1] (numeric) = -1.2078227991672868633387151392481
absolute error = 8.015750562051e-19
relative error = 6.6365286096415174149690000000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9496
Order of pole = 5.626
x[1] = -0.9389
y[1] (analytic) = -1.2082087672510211644695119669949
y[1] (numeric) = -1.2082087672510211652728141224843
absolute error = 8.033021554894e-19
relative error = 6.6487032478427916990228860000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9495
Order of pole = 5.626
x[1] = -0.9388
y[1] (analytic) = -1.208594899803949068140779472686
y[1] (numeric) = -1.2085948998039490689458103837428
absolute error = 8.050309110568e-19
relative error = 6.6608829078079613781928959999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9494
Order of pole = 5.626
x[1] = -0.9387
y[1] (analytic) = -1.2089811969136846752637732397918
y[1] (numeric) = -1.2089811969136846760705345644643
absolute error = 8.067613246725e-19
relative error = 6.6730675938717581199501750000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9493
Order of pole = 5.626
x[1] = -0.9386
y[1] (analytic) = -1.2093676586678981008281823091638
y[1] (numeric) = -1.2093676586678981016366757072671
absolute error = 8.084933981033e-19
relative error = 6.6852573103686632066830479999997e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9492
Order of pole = 5.626
x[1] = -0.9385
y[1] (analytic) = -1.2097542851543155148836884018388
y[1] (numeric) = -1.2097542851543155156939155349575
absolute error = 8.102271331187e-19
relative error = 6.6974520616419880973588750000004e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9491
Order of pole = 5.626
x[1] = -0.9384
y[1] (analytic) = -1.2101410764607191843587247390861
y[1] (numeric) = -1.2101410764607191851706872705758
absolute error = 8.119625314897e-19
relative error = 6.7096518520339315144442880000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.949
Order of pole = 5.626
x[1] = -0.9383
y[1] (analytic) = -1.21052803267494751491489357753
y[1] (numeric) = -1.2105280326749475157285931725198
absolute error = 8.136995949898e-19
relative error = 6.7218566858938294575915260000004e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9489
Order of pole = 5.626
x[1] = -0.9382
y[1] (analytic) = -1.2109151538848950928370766698241
y[1] (numeric) = -1.2109151538848950936525149952184
absolute error = 8.154383253943e-19
relative error = 6.7340665675723504134868240000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9488
Order of pole = 5.626
x[1] = -0.9381
y[1] (analytic) = -1.2113024401785127269592728978153
y[1] (numeric) = -1.2113024401785127277764516222961
absolute error = 8.171787244808e-19
relative error = 6.7462815014256083661035279999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9487
Order of pole = 5.626
x[1] = -0.938
y[1] (analytic) = -1.2116898916438074906261973616586
y[1] (numeric) = -1.2116898916438074914451181556875
absolute error = 8.189207940289e-19
relative error = 6.7585014918126655512080000000004e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9486
Order of pole = 5.626
x[1] = -0.9379
y[1] (analytic) = -1.2120775083688427636906762448955
y[1] (numeric) = -1.2120775083688427645113407807157
absolute error = 8.206645358202e-19
relative error = 6.7707265430955150680436780000006e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9485
Order of pole = 5.626
x[1] = -0.9378
y[1] (analytic) = -1.2124652904417382745468718121106
y[1] (numeric) = -1.212465290441738275369281763749
absolute error = 8.224099516384e-19
relative error = 6.7829566596398882716423680000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9484
Order of pole = 5.626
x[1] = -0.9377
y[1] (analytic) = -1.2128532379506701421993719324254
y[1] (numeric) = -1.2128532379506701430235289756949
absolute error = 8.241570432695e-19
relative error = 6.7951918458168850990709350000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9483
Order of pole = 5.626
x[1] = -0.9376
y[1] (analytic) = -1.2132413509838709183681785587736
y[1] (numeric) = -1.2132413509838709191940843712749
absolute error = 8.259058125013e-19
relative error = 6.8074321059988315780218879999997e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9482
Order of pole = 5.626
x[1] = -0.9375
y[1] (analytic) = -1.2136296296296296296296296296297
y[1] (numeric) = -1.2136296296296296304572858907537
absolute error = 8.276562611240e-19
relative error = 6.8196774445642089843749999999996e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9481
Order of pole = 5.626
x[1] = -0.9374
y[1] (analytic) = -1.2140180739762918195932888966384
y[1] (numeric) = -1.2140180739762918204226972875682
absolute error = 8.294083909298e-19
relative error = 6.8319278658943364119719519999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.948
Order of pole = 5.626
x[1] = -0.9373
y[1] (analytic) = -1.2144066841122595911148382184047
y[1] (numeric) = -1.2144066841122595919460004221175
absolute error = 8.311622037128e-19
relative error = 6.8441833743725300287279760000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9479
Order of pole = 5.626
x[1] = -0.9372
y[1] (analytic) = -1.2147954601259916485450068975648
y[1] (numeric) = -1.214795460125991649377924598834
absolute error = 8.329177012692e-19
relative error = 6.8564439743857334801948159999994e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9477
Order of pole = 5.626
x[1] = -0.9371
y[1] (analytic) = -1.2151844021060033400145726751589
y[1] (numeric) = -1.2151844021060033408492475605568
absolute error = 8.346748853979e-19
relative error = 6.8687096703294368267859689999997e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=122.0MB, alloc=4.4MB, time=8.34
Real estimate of pole used
Radius of convergence = 0.9476
Order of pole = 5.626
x[1] = -0.937
y[1] (analytic) = -1.2155735101408666997554690332752
y[1] (numeric) = -1.2155735101408667005919027911744
absolute error = 8.364337578992e-19
relative error = 6.8809804665969555313759999999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9475
Order of pole = 5.626
x[1] = -0.9369
y[1] (analytic) = -1.215962784319210490458033493917
y[1] (numeric) = -1.2159627843192104912962278144929
absolute error = 8.381943205759e-19
relative error = 6.8932563675884674559654310000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9474
Order of pole = 5.626
x[1] = -0.9368
y[1] (analytic) = -1.216352224729720245664431639084
y[1] (numeric) = -1.2163522247297202465043882143168
absolute error = 8.399565752328e-19
relative error = 6.9055373777068784052264960000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9473
Order of pole = 5.626
x[1] = -0.9367
y[1] (analytic) = -1.2167418314611383121982916141289
y[1] (numeric) = -1.2167418314611383130400121378056
absolute error = 8.417205236767e-19
relative error = 6.9178235013578049216409209999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9472
Order of pole = 5.626
x[1] = -0.9366
y[1] (analytic) = -1.2171316046022638926305839135727
y[1] (numeric) = -1.2171316046022638934740700812896
absolute error = 8.434861677169e-19
relative error = 6.9301147429536651145344240000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9471
Order of pole = 5.626
x[1] = -0.9365
y[1] (analytic) = -1.2175215442419530877817812857243
y[1] (numeric) = -1.2175215442419530886270347948887
absolute error = 8.452535091644e-19
relative error = 6.9424111069070841805435000000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.947
Order of pole = 5.626
x[1] = -0.9364
y[1] (analytic) = -1.2179116504691189392603336296541
y[1] (numeric) = -1.2179116504691189401073561794867
absolute error = 8.470225498326e-19
relative error = 6.9547125976366287352093440000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9469
Order of pole = 5.626
x[1] = -0.9363
y[1] (analytic) = -1.2183019233727314720374927953255
y[1] (numeric) = -1.2183019233727314728862860868624
absolute error = 8.487932915369e-19
relative error = 6.9670192195635011491142429999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9468
Order of pole = 5.626
x[1] = -0.9362
y[1] (analytic) = -1.2186923630418177370585222349778
y[1] (numeric) = -1.2186923630418177379090879710728
absolute error = 8.505657360950e-19
relative error = 6.9793309771139840747116000000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9467
Order of pole = 5.626
x[1] = -0.9361
y[1] (analytic) = -1.2190829695654618538903264911959
y[1] (numeric) = -1.2190829695654618547426663765224
absolute error = 8.523398853265e-19
relative error = 6.9916478747161382344064650000004e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9466
Order of pole = 5.626
x[1] = -0.936
y[1] (analytic) = -1.2194737430328050534055355444793
y[1] (numeric) = -1.2194737430328050542596512855324
absolute error = 8.541157410531e-19
relative error = 7.0039699168014266895359999999996e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9465
Order of pole = 5.626
x[1] = -0.9359
y[1] (analytic) = -1.2198646835330457205030790805517
y[1] (numeric) = -1.2198646835330457213589723856509
absolute error = 8.558933050992e-19
relative error = 7.0162971078096150217867679999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9464
Order of pole = 5.626
x[1] = -0.9358
y[1] (analytic) = -1.220255791155439436865285775123
y[1] (numeric) = -1.2202557911554394377229583544136
absolute error = 8.576725792906e-19
relative error = 7.0286294521780915654090720000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9463
Order of pole = 5.626
x[1] = -0.9357
y[1] (analytic) = -1.2206470659892990237515427313235
y[1] (numeric) = -1.2206470659892990246109962967791
absolute error = 8.594535654556e-19
relative error = 7.0409669543508698526169079999996e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9462
Order of pole = 5.626
x[1] = -0.9356
y[1] (analytic) = -1.2210385081239945848285502425937
y[1] (numeric) = -1.2210385081239945856897865080187
absolute error = 8.612362654250e-19
relative error = 7.0533096187785650099680000000005e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9461
Order of pole = 5.626
x[1] = -0.9355
y[1] (analytic) = -1.2214301176489535490372070914142
y[1] (numeric) = -1.2214301176489535499002277724451
absolute error = 8.630206810309e-19
relative error = 7.0656574499085456246373750000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.946
Order of pole = 5.626
x[1] = -0.9354
y[1] (analytic) = -1.2218218946536607134961616319001
y[1] (numeric) = -1.2218218946536607143609684460084
absolute error = 8.648068141083e-19
relative error = 7.0780104521980211280147119999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9459
Order of pole = 5.626
x[1] = -0.9353
y[1] (analytic) = -1.2222138392276582864420639419847
y[1] (numeric) = -1.2222138392276582873086586084789
absolute error = 8.665946664942e-19
relative error = 7.0903686301066493057663340000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9458
Order of pole = 5.626
x[1] = -0.9352
y[1] (analytic) = -1.2226059514605459302065543686436
y[1] (numeric) = -1.222605951460545931074938608671
absolute error = 8.683842400274e-19
relative error = 7.1027319880948834752849920000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9457
Order of pole = 5.626
x[1] = -0.9351
y[1] (analytic) = -1.2229982314419808042300238273923
y[1] (numeric) = -1.2229982314419808051001993639417
absolute error = 8.701755365494e-19
relative error = 7.1151005306313171153671940000004e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=125.8MB, alloc=4.4MB, time=8.60
Real estimate of pole used
Radius of convergence = 0.9456
Order of pole = 5.626
x[1] = -0.935
y[1] (analytic) = -1.2233906792616776081121812551163
y[1] (numeric) = -1.2233906792616776089841498130196
absolute error = 8.719685579033e-19
relative error = 7.1274742621836663373749999999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9455
Order of pole = 5.626
x[1] = -0.9349
y[1] (analytic) = -1.2237832950094086246994636531557
y[1] (numeric) = -1.2237832950094086255732269590908
absolute error = 8.737633059351e-19
relative error = 7.1398531872293809999686990000004e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9454
Order of pole = 5.626
x[1] = -0.9348
y[1] (analytic) = -1.2241760787750037632093241954855
y[1] (numeric) = -1.2241760787750037640848839779775
absolute error = 8.755597824920e-19
relative error = 7.1522373102417291062246399999997e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9453
Order of pole = 5.626
x[1] = -0.9347
y[1] (analytic) = -1.2245690306483506023914339147811
y[1] (numeric) = -1.2245690306483506032687919042055
absolute error = 8.773579894244e-19
relative error = 7.1646266357061226714432120000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9452
Order of pole = 5.626
x[1] = -0.9346
y[1] (analytic) = -1.2249621507193944337258325171721
y[1] (numeric) = -1.2249621507193944346049904457562
absolute error = 8.791579285841e-19
relative error = 7.1770211681053907836519759999996e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9451
Order of pole = 5.626
x[1] = -0.9345
y[1] (analytic) = -1.2253554390781383046580639145209
y[1] (numeric) = -1.2253554390781383055390235163466
absolute error = 8.809596018257e-19
relative error = 7.1894209119311958580766250000007e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.945
Order of pole = 5.626
x[1] = -0.9344
y[1] (analytic) = -1.2257488958146430618713321011678
y[1] (numeric) = -1.225748895814643062754095112173
absolute error = 8.827630110052e-19
relative error = 7.2018258716725847187783680000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9449
Order of pole = 5.626
x[1] = -0.9343
y[1] (analytic) = -1.2261425210190273945957130402061
y[1] (numeric) = -1.2261425210190273954802811981877
absolute error = 8.845681579816e-19
relative error = 7.2142360518290286777643120000007e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9448
Order of pole = 5.626
x[1] = -0.9342
y[1] (analytic) = -1.2265363147814678779544582625475
y[1] (numeric) = -1.226536314781467878840833307163
absolute error = 8.863750446155e-19
relative error = 7.2266514568989793654496400000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9447
Order of pole = 5.626
x[1] = -0.9341
y[1] (analytic) = -1.2269302771921990163474259202488
y[1] (numeric) = -1.2269302771921990172356095930188
absolute error = 8.881836727700e-19
relative error = 7.2390720913871925460416999999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9446
Order of pole = 5.626
x[1] = -0.934
y[1] (analytic) = -1.2273244083415132868716750738552
y[1] (numeric) = -1.2273244083415132877616691181657
absolute error = 8.899940443105e-19
relative error = 7.2514979598030752249200000000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9445
Order of pole = 5.626
x[1] = -0.9339
y[1] (analytic) = -1.2277187083197611827792590318233
y[1] (numeric) = -1.2277187083197611836710651929275
absolute error = 8.918061611042e-19
relative error = 7.2639290666565923584681979999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9444
Order of pole = 5.626
x[1] = -0.9338
y[1] (analytic) = -1.228113177217351256972253598451
y[1] (numeric) = -1.2281131772173512578658736234718
absolute error = 8.936200250208e-19
relative error = 7.2763654164639525161141759999997e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9443
Order of pole = 5.626
x[1] = -0.9337
y[1] (analytic) = -1.22850781512475016553505612515
y[1] (numeric) = -1.2285078151247501664304917630822
absolute error = 8.954356379322e-19
relative error = 7.2888070137451426130994659999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9442
Order of pole = 5.626
x[1] = -0.9336
y[1] (analytic) = -1.2289026221324827113039912983458
y[1] (numeric) = -1.228902622132482712201244300058
absolute error = 8.972530017122e-19
relative error = 7.3012538630214673692088319999996e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9441
Order of pole = 5.626
x[1] = -0.9335
y[1] (analytic) = -1.2292975983311318874742596357874
y[1] (numeric) = -1.2292975983311318883733317540247
absolute error = 8.990721182373e-19
relative error = 7.3137059688220416892998749999996e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.944
Order of pole = 5.626
x[1] = -0.9334
y[1] (analytic) = -1.2296927438113389212442647015945
y[1] (numeric) = -1.2296927438113389221451576909803
absolute error = 9.008929893858e-19
relative error = 7.3261633356764459187940319999996e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9439
Order of pole = 5.626
x[1] = -0.9333
y[1] (analytic) = -1.2300880586638033174973550889536
y[1] (numeric) = -1.2300880586638033184000707059921
absolute error = 9.027156170385e-19
relative error = 7.3386259681204024309692449999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9438
Order of pole = 5.626
x[1] = -0.9332
y[1] (analytic) = -1.2304835429792829025210172580119
y[1] (numeric) = -1.23048354297928290342555726109
absolute error = 9.045400030781e-19
relative error = 7.3510938706908763007294080000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9437
Order of pole = 5.626
x[1] = -0.9331
y[1] (analytic) = -1.2308791968485938677635553551939
y[1] (numeric) = -1.2308791968485938686699215045837
absolute error = 9.063661493898e-19
relative error = 7.3635670479309345303615180000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=129.7MB, alloc=4.4MB, time=8.86
Real estimate of pole used
Radius of convergence = 0.9436
Order of pole = 5.626
x[1] = -0.933
y[1] (analytic) = -1.2312750203626108136282941788923
y[1] (numeric) = -1.2312750203626108145364882367532
absolute error = 9.081940578609e-19
relative error = 7.3760455043864742243330000000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9435
Order of pole = 5.626
x[1] = -0.9329
y[1] (analytic) = -1.2316710136122667933053414952543
y[1] (numeric) = -1.2316710136122667942153652256352
absolute error = 9.100237303809e-19
relative error = 7.3885292446070165752628010000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9434
Order of pole = 5.626
x[1] = -0.9328
y[1] (analytic) = -1.2320671766885533566409459465999
y[1] (numeric) = -1.2320671766885533575528011154416
absolute error = 9.118551688417e-19
relative error = 7.4010182731473109429411840000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9433
Order of pole = 5.626
x[1] = -0.9327
y[1] (analytic) = -1.2324635096825205940444868338723
y[1] (numeric) = -1.2324635096825205949581752090095
absolute error = 9.136883751372e-19
relative error = 7.4135125945640675191802759999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9432
Order of pole = 5.626
x[1] = -0.9326
y[1] (analytic) = -1.2328600126852771804331320934254
y[1] (numeric) = -1.2328600126852771813486554445892
absolute error = 9.155233511638e-19
relative error = 7.4260122134199963722446880000004e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9431
Order of pole = 5.626
x[1] = -0.9325
y[1] (analytic) = -1.2332566857879904192142008274113
y[1] (numeric) = -1.233256685787990420131560926231
absolute error = 9.173600988197e-19
relative error = 7.4385171342781083445156249999993e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.943
Order of pole = 5.626
x[1] = -0.9324
y[1] (analytic) = -1.2336535290818862863052667860234
y[1] (numeric) = -1.2336535290818862872244654060294
absolute error = 9.191986200060e-19
relative error = 7.4510273617106177306534399999996e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9429
Order of pole = 5.626
x[1] = -0.9323
y[1] (analytic) = -1.2340505426582494741920392389061
y[1] (numeric) = -1.2340505426582494751130781555316
absolute error = 9.210389166255e-19
relative error = 7.4635429002891899465450850000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9428
Order of pole = 5.626
x[1] = -0.9322
y[1] (analytic) = -1.2344477266084234360240577121225
y[1] (numeric) = -1.2344477266084234369469387027058
absolute error = 9.228809905833e-19
relative error = 7.4760637545897894120285839999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9427
Order of pole = 5.626
x[1] = -0.9321
y[1] (analytic) = -1.2348450810238104297482371062179
y[1] (numeric) = -1.2348450810238104306729619500049
absolute error = 9.247248437870e-19
relative error = 7.4885899291942787887070699999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9426
Order of pole = 5.626
x[1] = -0.932
y[1] (analytic) = -1.2352426059958715622802997500976
y[1] (numeric) = -1.2352426059958715632068702282439
absolute error = 9.265704781463e-19
relative error = 7.5011214286871577619839999999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9425
Order of pole = 5.626
x[1] = -0.9319
y[1] (analytic) = -1.2356403016161268337141309846668
y[1] (numeric) = -1.23564030161612683464254888024
absolute error = 9.284178955732e-19
relative error = 7.5136582576571638772565880000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9424
Order of pole = 5.626
x[1] = -0.9318
y[1] (analytic) = -1.2360381679761551815690949094591
y[1] (numeric) = -1.236038167976155182499362007441
absolute error = 9.302670979819e-19
relative error = 7.5262004206964431558768080000005e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9423
Order of pole = 5.626
x[1] = -0.9317
y[1] (analytic) = -1.236436205167594525075346964801
y[1] (numeric) = -1.2364362051675945260074650520897
absolute error = 9.321180872887e-19
relative error = 7.5387479223997222907935310000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9422
Order of pole = 5.626
x[1] = -0.9316
y[1] (analytic) = -1.2368344132821418094971800614304
y[1] (numeric) = -1.2368344132821418104311509268431
absolute error = 9.339708654127e-19
relative error = 7.5513007673699505460289920000006e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9421
Order of pole = 5.626
x[1] = -0.9315
y[1] (analytic) = -1.2372327924115530504944410089041
y[1] (numeric) = -1.2372327924115530514302664431788
absolute error = 9.358254342747e-19
relative error = 7.5638589602093821414136250000004e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.942
Order of pole = 5.626
x[1] = -0.9314
y[1] (analytic) = -1.237631342647643378522054033587
y[1] (numeric) = -1.2376313426476433794597358293849
absolute error = 9.376817957979e-19
relative error = 7.5764225055252197478779759999995e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9419
Order of pole = 5.626
x[1] = -0.9313
y[1] (analytic) = -1.2380300640822870832676882165309
y[1] (numeric) = -1.2380300640822870842072281684391
absolute error = 9.395399519082e-19
relative error = 7.5889914079320161259813539999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9418
Order of pole = 5.626
x[1] = -0.9312
y[1] (analytic) = -1.2384289568074176581276057211031
y[1] (numeric) = -1.2384289568074176590690056256363
absolute error = 9.413999045332e-19
relative error = 7.6015656720435739286568959999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9417
Order of pole = 5.626
x[1] = -0.9311
y[1] (analytic) = -1.2388280209150278447207277198258
y[1] (numeric) = -1.2388280209150278456639893754289
absolute error = 9.432616556031e-19
relative error = 7.6141453024801982074001609999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=133.5MB, alloc=4.4MB, time=9.12
Real estimate of pole used
Radius of convergence = 0.9416
Order of pole = 5.626
x[1] = -0.931
y[1] (analytic) = -1.2392272564971696774409549695412
y[1] (numeric) = -1.2392272564971696783860801765914
absolute error = 9.451252070502e-19
relative error = 7.6267303038646375244819999999997e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9415
Order of pole = 5.626
x[1] = -0.9309
y[1] (analytic) = -1.2396266636459545280477800237088
y[1] (numeric) = -1.2396266636459545289947705845181
absolute error = 9.469905608093e-19
relative error = 7.6393206808252931350604969999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9414
Order of pole = 5.626
x[1] = -0.9308
y[1] (analytic) = -1.2400262424535531502952281103877
y[1] (numeric) = -1.240026242453553151244085829205
absolute error = 9.488577188173e-19
relative error = 7.6519164379929704695333759999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9413
Order of pole = 5.626
x[1] = -0.9307
y[1] (analytic) = -1.2404259930121957245991637442438
y[1] (numeric) = -1.2404259930121957255498904272572
absolute error = 9.507266830134e-19
relative error = 7.6645175800024739197873619999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9412
Order of pole = 5.626
x[1] = -0.9306
y[1] (analytic) = -1.2408259154141719027430001807614
y[1] (numeric) = -1.2408259154141719036955976361007
absolute error = 9.525974553393e-19
relative error = 7.6771241114941985227220880000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9411
Order of pole = 5.626
x[1] = -0.9305
y[1] (analytic) = -1.2412260097518308526218488607213
y[1] (numeric) = -1.24122600975183085357631889846
absolute error = 9.544700377387e-19
relative error = 7.6897360371100789580558750000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.941
Order of pole = 5.626
x[1] = -0.9304
y[1] (analytic) = -1.2416262761175813030251460329387
y[1] (numeric) = -1.2416262761175813039814904650965
absolute error = 9.563444321578e-19
relative error = 7.7023533614976003096401920000005e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9409
Order of pole = 5.626
x[1] = -0.9303
y[1] (analytic) = -1.242026714603891588457793783234
y[1] (numeric) = -1.2420267146038915894160144237791
absolute error = 9.582206405451e-19
relative error = 7.7149760893081651016032770000005e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9408
Order of pole = 5.626
x[1] = -0.9302
y[1] (analytic) = -1.2424273253032896939998527376336
y[1] (numeric) = -1.2424273253032896949599514024848
absolute error = 9.600986648512e-19
relative error = 7.7276042251954634684072960000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9407
Order of pole = 5.626
x[1] = -0.9301
y[1] (analytic) = -1.2428281083083633002048237478723
y[1] (numeric) = -1.2428281083083633011668022549017
absolute error = 9.619785070294e-19
relative error = 7.7402377738202833884528940000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9406
Order of pole = 5.626
x[1] = -0.93
y[1] (analytic) = -1.2432290637117598280365559073895
y[1] (numeric) = -1.2432290637117598290004160764243
absolute error = 9.638601690348e-19
relative error = 7.7528767398432462359999999999993e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9405
Order of pole = 5.626
x[1] = -0.9299
y[1] (analytic) = -1.2436301916061864838448182861766
y[1] (numeric) = -1.243630191606186484810561939002
absolute error = 9.657436528254e-19
relative error = 7.7655211279336383143783459999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9404
Order of pole = 5.626
x[1] = -0.9298
y[1] (analytic) = -1.2440314920844103043795728130548
y[1] (numeric) = -1.2440314920844103053472017734158
absolute error = 9.676289603610e-19
relative error = 7.7781709427605408426471200000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9403
Order of pole = 5.626
x[1] = -0.9297
y[1] (analytic) = -1.2444329652392582018439857742165
y[1] (numeric) = -1.2444329652392582028135018678205
absolute error = 9.695160936040e-19
relative error = 7.7908261889992450779709200000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9402
Order of pole = 5.626
x[1] = -0.9296
y[1] (analytic) = -1.2448346111636170089862154371834
y[1] (numeric) = -1.2448346111636170099576204917023
absolute error = 9.714050545189e-19
relative error = 7.8034868713272118511575039999997e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9401
Order of pole = 5.626
x[1] = -0.9295
y[1] (analytic) = -1.2452364299504335242300133496863
y[1] (numeric) = -1.2452364299504335252033091947592
absolute error = 9.732958450729e-19
relative error = 7.8161529944288725619863750000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.94
Order of pole = 5.626
x[1] = -0.9294
y[1] (analytic) = -1.2456384216927145568441769033822
y[1] (numeric) = -1.2456384216927145578193653706173
absolute error = 9.751884672351e-19
relative error = 7.8288245629891816432965839999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9399
Order of pole = 5.626
x[1] = -0.9293
y[1] (analytic) = -1.2460405864835269721508907927735
y[1] (numeric) = -1.2460405864835269731279737157508
absolute error = 9.770829229773e-19
relative error = 7.8415015817000221556861610000004e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9398
Order of pole = 5.626
x[1] = -0.9292
y[1] (analytic) = -1.2464429244159977367729950402029
y[1] (numeric) = -1.2464429244159977377519742544762
absolute error = 9.789792142733e-19
relative error = 7.8541840552545647158855040000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9397
Order of pole = 5.626
x[1] = -0.9291
y[1] (analytic) = -1.2468454355833139639202172983394
y[1] (numeric) = -1.2468454355833139649010946414389
absolute error = 9.808773430995e-19
relative error = 7.8668719883520636355551449999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=137.3MB, alloc=4.4MB, time=9.38
Real estimate of pole used
Radius of convergence = 0.9396
Order of pole = 5.626
x[1] = -0.929
y[1] (analytic) = -1.2472481200787229587144071821765
y[1] (numeric) = -1.2472481200787229596971844936111
absolute error = 9.827773114346e-19
relative error = 7.8795653856954278667940000000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9395
Order of pole = 5.626
x[1] = -0.9289
y[1] (analytic) = -1.247650977995532263553810423204
y[1] (numeric) = -1.2476509779955322645384895444635
absolute error = 9.846791212595e-19
relative error = 7.8922642519903996393465550000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9394
Order of pole = 5.626
x[1] = -0.9288
y[1] (analytic) = -1.2480540094271097035164206791113
y[1] (numeric) = -1.2480540094271097045030034536689
absolute error = 9.865827745576e-19
relative error = 7.9049685919479396571422720000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9393
Order of pole = 5.626
x[1] = -0.9287
y[1] (analytic) = -1.2484572144668834318024468731234
y[1] (numeric) = -1.2484572144668834327909351464379
absolute error = 9.884882733145e-19
relative error = 7.9176784102818017213199350000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9392
Order of pole = 5.626
x[1] = -0.9286
y[1] (analytic) = -1.2488605932083419752159339778586
y[1] (numeric) = -1.2488605932083419762063295973769
absolute error = 9.903956195183e-19
relative error = 7.9303937117109164079950480000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9391
Order of pole = 5.626
x[1] = -0.9285
y[1] (analytic) = -1.2492641457450342796855751994394
y[1] (numeric) = -1.2492641457450342806778800145987
absolute error = 9.923048151593e-19
relative error = 7.9431145009569672787811250000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.939
Order of pole = 5.626
x[1] = -0.9284
y[1] (analytic) = -1.2496678721705697558247535584715
y[1] (numeric) = -1.2496678721705697568189694207019
absolute error = 9.942158622304e-19
relative error = 7.9558407827475732530524159999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9389
Order of pole = 5.626
x[1] = -0.9283
y[1] (analytic) = -1.2500717725786183245308509054457
y[1] (numeric) = -1.2500717725786183255269796681724
absolute error = 9.961287627267e-19
relative error = 7.9685725618130651584549289999997e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9387
Order of pole = 5.626
x[1] = -0.9282
y[1] (analytic) = -1.2504758470629104626238624490984
y[1] (numeric) = -1.250475847062910463621905967744
absolute error = 9.980435186456e-19
relative error = 7.9813098428872669824862079999996e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9386
Order of pole = 5.626
x[1] = -0.9281
y[1] (analytic) = -1.2508800957172372485243549173013
y[1] (numeric) = -1.2508800957172372495243150492884
absolute error = 9.999601319871e-19
relative error = 7.9940526307098744636997109999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9385
Order of pole = 5.626
x[1] = -0.928
y[1] (analytic) = -1.2512845186354504079708065111321
y[1] (numeric) = -1.2512845186354504089726851158853
absolute error = 1.0018786047532e-18
relative error = 8.0068009300216364400639999999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9384
Order of pole = 5.626
x[1] = -0.9279
y[1] (analytic) = -1.251689115911462359776366853907
y[1] (numeric) = -1.2516891159114623607801657928557
absolute error = 1.0037989389487e-18
relative error = 8.0195547455707304023701929999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9383
Order of pole = 5.626
x[1] = -0.9278
y[1] (analytic) = -1.2520938876392462616250751781373
y[1] (numeric) = -1.2520938876392462626307963147178
absolute error = 1.0057211365805e-18
relative error = 8.0323140821071457326063600000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9382
Order of pole = 5.626
x[1] = -0.9277
y[1] (analytic) = -1.2524988339128360559075750345978
y[1] (numeric) = -1.2524988339128360569152202342557
absolute error = 1.0076451996579e-18
relative error = 8.0450789443850618477522070000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9381
Order of pole = 5.626
x[1] = -0.9276
y[1] (analytic) = -1.2529039548263265155963638489725
y[1] (numeric) = -1.2529039548263265166059349791651
absolute error = 1.0095711301926e-18
relative error = 8.0578493371628272744853759999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.938
Order of pole = 5.626
x[1] = -0.9275
y[1] (analytic) = -1.2533092504738732901606156928692
y[1] (numeric) = -1.2533092504738732911721146230681
absolute error = 1.0114989301989e-18
relative error = 8.0706252652045345168593750000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9379
Order of pole = 5.626
x[1] = -0.9274
y[1] (analytic) = -1.2537147209496929515206156773689
y[1] (numeric) = -1.2537147209496929525340442790621
absolute error = 1.0134286016932e-18
relative error = 8.0834067332760084376559679999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9378
Order of pole = 5.626
x[1] = -0.9273
y[1] (analytic) = -1.2541203663480630400418444186989
y[1] (numeric) = -1.2541203663480630410572045653934
absolute error = 1.0153601466945e-18
relative error = 8.0961937461487761151210650000004e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9377
Order of pole = 5.626
x[1] = -0.9272
y[1] (analytic) = -1.2545261867633221105687510670939
y[1] (numeric) = -1.2545261867633221115860446343178
absolute error = 1.0172935672239e-18
relative error = 8.1089863085960578397598720000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9376
Order of pole = 5.626
x[1] = -0.9271
y[1] (analytic) = -1.2549321822898697784982534314278
y[1] (numeric) = -1.254932182289869779517482296733
absolute error = 1.0192288653052e-18
relative error = 8.1217844253975312807775719999997e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=141.1MB, alloc=4.4MB, time=9.65
Real estimate of pole used
Radius of convergence = 0.9375
Order of pole = 5.626
x[1] = -0.927
y[1] (analytic) = -1.2553383530221667658930037737743
y[1] (numeric) = -1.255338353022166766914169816739
absolute error = 1.0211660429647e-18
relative error = 8.1345881013377136020010000000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9374
Order of pole = 5.626
x[1] = -0.9269
y[1] (analytic) = -1.2557446990547349476344588896734
y[1] (numeric) = -1.2557446990547349486575639919041
absolute error = 1.0231051022307e-18
relative error = 8.1473973412019576705154630000004e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9373
Order of pole = 5.626
x[1] = -0.9268
y[1] (analytic) = -1.2561512204821573976157931315495
y[1] (numeric) = -1.2561512204821573986408391766837
absolute error = 1.0250460451342e-18
relative error = 8.1602121497820090051485440000006e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9372
Order of pole = 5.626
x[1] = -0.9267
y[1] (analytic) = -1.2565579173990784349746930744499
y[1] (numeric) = -1.2565579173990784360016819481582
absolute error = 1.0269888737083e-18
relative error = 8.1730325318712061946155290000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9371
Order of pole = 5.626
x[1] = -0.9266
y[1] (analytic) = -1.2569647899002036703660725650384
y[1] (numeric) = -1.2569647899002036713950061550275
absolute error = 1.0289335899891e-18
relative error = 8.1858584922716241179925360000004e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.937
Order of pole = 5.626
x[1] = -0.9265
y[1] (analytic) = -1.2573718380803000522747469366012
y[1] (numeric) = -1.2573718380803000533056271326157
absolute error = 1.0308801960145e-18
relative error = 8.1986900357845017692706250000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9369
Order of pole = 5.626
x[1] = -0.9264
y[1] (analytic) = -1.2577790620341959133681052146853
y[1] (numeric) = -1.2577790620341959144009339085106
absolute error = 1.0328286938253e-18
relative error = 8.2115271672189748443832320000005e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9368
Order of pole = 5.626
x[1] = -0.9263
y[1] (analytic) = -1.2581864618567810168888191799146
y[1] (numeric) = -1.2581864618567810179235982653789
absolute error = 1.0347790854643e-18
relative error = 8.2243698913848954548474209999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9367
Order of pole = 5.626
x[1] = -0.9262
y[1] (analytic) = -1.25859403764300660308762819649
y[1] (numeric) = -1.258594037643006604124359569467
absolute error = 1.0367313729770e-18
relative error = 8.2372182130983783597125599999995e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9366
Order of pole = 5.626
x[1] = -0.9261
y[1] (analytic) = -1.2590017894878854356962387569038
y[1] (numeric) = -1.2590017894878854367349243153152
absolute error = 1.0386855584114e-18
relative error = 8.2500721371801878836142339999996e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9365
Order of pole = 5.626
x[1] = -0.926
y[1] (analytic) = -1.2594097174864918484403777354619
y[1] (numeric) = -1.2594097174864918494810193792796
absolute error = 1.0406416438177e-18
relative error = 8.2629316684533339193519999999996e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9364
Order of pole = 5.626
x[1] = -0.9259
y[1] (analytic) = -1.2598178217339617915930383853268
y[1] (numeric) = -1.2598178217339617926356380165755
absolute error = 1.0425996312487e-18
relative error = 8.2757968117462289376447729999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9363
Order of pole = 5.626
x[1] = -0.9258
y[1] (analytic) = -1.2602261023254928785679581559632
y[1] (numeric) = -1.2602261023254928796125176787225
absolute error = 1.0445595227593e-18
relative error = 8.2886675718886972653206159999995e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9362
Order of pole = 5.626
x[1] = -0.9257
y[1] (analytic) = -1.260634559356344432553367450083
y[1] (numeric) = -1.2606345593563444335998887704904
absolute error = 1.0465213204074e-18
relative error = 8.3015439537190976139938819999994e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9361
Order of pole = 5.626
x[1] = -0.9256
y[1] (analytic) = -1.2610431929218375331860484814585
y[1] (numeric) = -1.2610431929218375342345335077117
absolute error = 1.0484850262532e-18
relative error = 8.3144259620787438351749120000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.936
Order of pole = 5.626
x[1] = -0.9255
y[1] (analytic) = -1.2614520031173550632657434372875
y[1] (numeric) = -1.2614520031173550643161940796463
absolute error = 1.0504506423588e-18
relative error = 8.3273136018087147033735000000004e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9359
Order of pole = 5.626
x[1] = -0.9254
y[1] (analytic) = -1.2618609900383417555099511911632
y[1] (numeric) = -1.2618609900383417565623693619524
absolute error = 1.0524181707892e-18
relative error = 8.3402068777577646068530879999993e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9358
Order of pole = 5.626
x[1] = -0.9253
y[1] (analytic) = -1.2622701537803042393491518551228
y[1] (numeric) = -1.2622701537803042404035394687351
absolute error = 1.0543876136123e-18
relative error = 8.3531057947822966044570709999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9357
Order of pole = 5.626
x[1] = -0.9252
y[1] (analytic) = -1.2626794944388110877624985017176
y[1] (numeric) = -1.2626794944388110888188574746152
absolute error = 1.0563589728976e-18
relative error = 8.3660103577360399381678080000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9356
Order of pole = 5.626
x[1] = -0.9251
y[1] (analytic) = -1.2630890121094928641540154295636
y[1] (numeric) = -1.263089012109492865212347680281
absolute error = 1.0583322507174e-18
relative error = 8.3789205714795403414606740000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=144.9MB, alloc=4.5MB, time=9.90
Real estimate of pole used
Radius of convergence = 0.9355
Order of pole = 5.626
x[1] = -0.925
y[1] (analytic) = -1.2634987068880421692693423884075
y[1] (numeric) = -1.2634987068880421703296498375541
absolute error = 1.0603074491466e-18
relative error = 8.3918364408785515312499999999993e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9354
Order of pole = 5.626
x[1] = -0.9249
y[1] (analytic) = -1.2639085788702136881530642223608
y[1] (numeric) = -1.2639085788702136892153487926236
absolute error = 1.0622845702628e-18
relative error = 8.4047579708048033899743720000004e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9353
Order of pole = 5.626
x[1] = -0.9248
y[1] (analytic) = -1.2643186281518242371466654326291
y[1] (numeric) = -1.2643186281518242382109290487743
absolute error = 1.0642636161452e-18
relative error = 8.4176851661272773488803840000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9352
Order of pole = 5.626
x[1] = -0.9247
y[1] (analytic) = -1.2647288548287528109271492037804
y[1] (numeric) = -1.2647288548287528119933937926567
absolute error = 1.0662445888763e-18
relative error = 8.4306180317256378562501490000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9351
Order of pole = 5.626
x[1] = -0.9246
y[1] (analytic) = -1.2651392589969406295863604803793
y[1] (numeric) = -1.2651392589969406306545879709201
absolute error = 1.0682274905408e-18
relative error = 8.4435565724815057432058880000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.935
Order of pole = 5.626
x[1] = -0.9245
y[1] (analytic) = -1.2655498407523911857510527236291
y[1] (numeric) = -1.265549840752391186821265046855
absolute error = 1.0702123232259e-18
relative error = 8.4565007932808109247113750000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9349
Order of pole = 5.626
x[1] = -0.9244
y[1] (analytic) = -1.2659606001911702917437380205446
y[1] (numeric) = -1.2659606001911702928159371095656
absolute error = 1.0721990890210e-18
relative error = 8.4694506990114010175046399999993e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9348
Order of pole = 5.626
x[1] = -0.9243
y[1] (analytic) = -1.2663715374094061267843602611018
y[1] (numeric) = -1.2663715374094061278585480511205
absolute error = 1.0741877900187e-18
relative error = 8.4824062945709201399466089999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9347
Order of pole = 5.626
x[1] = -0.9242
y[1] (analytic) = -1.2667826525032892842328311417921
y[1] (numeric) = -1.2667826525032892853090095701056
absolute error = 1.0761784283135e-18
relative error = 8.4953675848565161191698800000008e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9346
Order of pole = 5.626
x[1] = -0.9241
y[1] (analytic) = -1.2671939455690728188724687970312
y[1] (numeric) = -1.2671939455690728199506398030334
absolute error = 1.0781710060022e-18
relative error = 8.5083345747679831753194620000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9345
Order of pole = 5.626
x[1] = -0.924
y[1] (analytic) = -1.2676054167030722942343789029571
y[1] (numeric) = -1.2676054167030722953145444281419
absolute error = 1.0801655251848e-18
relative error = 8.5213072692148429163519999999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9344
Order of pole = 5.626
x[1] = -0.9239
y[1] (analytic) = -1.268017066001665829962818141284
y[1] (numeric) = -1.2680170660016658310449801292474
absolute error = 1.0821619879634e-18
relative error = 8.5342856731076388613956460000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9343
Order of pole = 5.626
x[1] = -0.9238
y[1] (analytic) = -1.2684288935612941492215799540559
y[1] (numeric) = -1.2684288935612941503057403504984
absolute error = 1.0841603964425e-18
relative error = 8.5472697913602851636485999999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9342
Order of pole = 5.626
x[1] = -0.9237
y[1] (analytic) = -1.2688408994784606261414425633815
y[1] (numeric) = -1.2688408994784606272276033161109
absolute error = 1.0861607527294e-18
relative error = 8.5602596288931988611965820000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9341
Order of pole = 5.626
x[1] = -0.9236
y[1] (analytic) = -1.2692530838497313333087192735189
y[1] (numeric) = -1.2692530838497313343968823324526
absolute error = 1.0881630589337e-18
relative error = 8.5732551906293352183022720000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.934
Order of pole = 5.626
x[1] = -0.9235
y[1] (analytic) = -1.26966544677173508929495111601
y[1] (numeric) = -1.2696654467717350903851184331774
absolute error = 1.0901673171674e-18
relative error = 8.5862564814949564182627499999995e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9339
Order of pole = 5.626
x[1] = -0.9234
y[1] (analytic) = -1.2700779883411635062277819419586
y[1] (numeric) = -1.2700779883411635073199554715042
absolute error = 1.0921735295456e-18
relative error = 8.5992635064251228572362240000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9338
Order of pole = 5.626
x[1] = -0.9233
y[1] (analytic) = -1.2704907086547710374030561089851
y[1] (numeric) = -1.2704907086547710384972378071702
absolute error = 1.0941816981851e-18
relative error = 8.6122762703526446665357869999997e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9337
Order of pole = 5.626
x[1] = -0.9232
y[1] (analytic) = -1.2709036078093750249381789538787
y[1] (numeric) = -1.2709036078093750260343707790846
absolute error = 1.0961918252059e-18
relative error = 8.6252947782198731487109119999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9336
Order of pole = 5.626
x[1] = -0.9231
y[1] (analytic) = -1.2713166859018557474667802855193
y[1] (numeric) = -1.2713166859018557485649841982495
absolute error = 1.0982039127302e-18
relative error = 8.6383190349708045638210820000004e-17 %
h = 0.0001
memory used=148.7MB, alloc=4.5MB, time=10.16
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9335
Order of pole = 5.626
x[1] = -0.923
y[1] (analytic) = -1.2717299430291564678747211762303
y[1] (numeric) = -1.2717299430291564689749391391129
absolute error = 1.1002179628826e-18
relative error = 8.6513490455526352417420000000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9334
Order of pole = 5.626
x[1] = -0.9229
y[1] (analytic) = -1.2721433792882834810774843733748
y[1] (numeric) = -1.2721433792882834821797183511653
absolute error = 1.1022339777905e-18
relative error = 8.6643848149188857934230449999995e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9333
Order of pole = 5.626
x[1] = -0.9228
y[1] (analytic) = -1.2725569947763061618389886967068
y[1] (numeric) = -1.2725569947763061629432406562908
absolute error = 1.1042519595840e-18
relative error = 8.6774263480285901105356799999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9332
Order of pole = 5.626
x[1] = -0.9227
y[1] (analytic) = -1.2729707895903570126318678307418
y[1] (numeric) = -1.2729707895903570137381397411372
absolute error = 1.1062719103954e-18
relative error = 8.6904736498423436625481820000005e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9331
Order of pole = 5.626
x[1] = -0.9226
y[1] (analytic) = -1.2733847638276317115392539652123
y[1] (numeric) = -1.2733847638276317126475477975718
absolute error = 1.1082938323595e-18
relative error = 8.7035267253246419439777200000004e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.933
Order of pole = 5.626
x[1] = -0.9225
y[1] (analytic) = -1.2737989175853891601981067805331
y[1] (numeric) = -1.2737989175853891613084245081469
absolute error = 1.1103177276138e-18
relative error = 8.7165855794454292881562500000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9329
Order of pole = 5.626
x[1] = -0.9224
y[1] (analytic) = -1.2742132509609515317841283191097
y[1] (numeric) = -1.2742132509609515328964719174082
absolute error = 1.1123435982985e-18
relative error = 8.7296502171800750399206400000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9328
Order of pole = 5.626
x[1] = -0.9223
y[1] (analytic) = -1.2746277640517043190383043272818
y[1] (numeric) = -1.2746277640517043201526757738379
absolute error = 1.1143714465561e-18
relative error = 8.7427206435062115770650870000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9327
Order of pole = 5.626
x[1] = -0.9222
y[1] (analytic) = -1.2750424569550963823351126967096
y[1] (numeric) = -1.2750424569550963834515139712413
absolute error = 1.1164012745317e-18
relative error = 8.7557968634060684888282160000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9326
Order of pole = 5.626
x[1] = -0.9221
y[1] (analytic) = -1.2754573297686399977924396780754
y[1] (numeric) = -1.2754573297686399989108727624486
absolute error = 1.1184330843732e-18
relative error = 8.7688788818680181464532520000005e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9325
Order of pole = 5.626
x[1] = -0.922
y[1] (analytic) = -1.2758723825899109054232445840927
y[1] (numeric) = -1.2758723825899109065437114623233
absolute error = 1.1204668782306e-18
relative error = 8.7819667038810642350880000000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9324
Order of pole = 5.626
x[1] = -0.9219
y[1] (analytic) = -1.2762876155165483573290137429834
y[1] (numeric) = -1.2762876155165483584515164012403
absolute error = 1.1225026582569e-18
relative error = 8.7950603344418773754491709999996e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9323
Order of pole = 5.626
x[1] = -0.9218
y[1] (analytic) = -1.276703028646255165935044507812
y[1] (numeric) = -1.2767030286462551670595849344197
absolute error = 1.1245404266077e-18
relative error = 8.8081597785516345158458640000007e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9322
Order of pole = 5.626
x[1] = -0.9217
y[1] (analytic) = -1.277118622076797752267600171339
y[1] (numeric) = -1.2771186220767977533941803567796
absolute error = 1.1265801854406e-18
relative error = 8.8212650412112984385550780000004e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9321
Order of pole = 5.626
x[1] = -0.9216
y[1] (analytic) = -1.277534395906006194272976680384
y[1] (numeric) = -1.2775343959060061954015986173004
absolute error = 1.1286219369164e-18
relative error = 8.8343761274309960993341440000006e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.932
Order of pole = 5.626
x[1] = -0.9215
y[1] (analytic) = -1.277950350231774275178522088078
y[1] (numeric) = -1.277950350231774276309187771276
absolute error = 1.1306656831980e-18
relative error = 8.8474930422213810677324999999997e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9319
Order of pole = 5.626
x[1] = -0.9214
y[1] (analytic) = -1.2783664851520595318956497268107
y[1] (numeric) = -1.2783664851520595330283611532621
absolute error = 1.1327114264514e-18
relative error = 8.8606157906014400170808159999996e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9318
Order of pole = 5.626
x[1] = -0.9213
y[1] (analytic) = -1.2787828007648833034648861291759
y[1] (numeric) = -1.278782800764883304599645298021
absolute error = 1.1347591688451e-18
relative error = 8.8737443775937720513312470000009e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9317
Order of pole = 5.626
x[1] = -0.9212
y[1] (analytic) = -1.2791992971683307795429947687535
y[1] (numeric) = -1.2791992971683307806798036813029
absolute error = 1.1368089125494e-18
relative error = 8.8868788082190954819672319999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9316
Order of pole = 5.626
x[1] = -0.9211
y[1] (analytic) = -1.2796159744605510489322167371621
y[1] (numeric) = -1.2796159744605510500710773969003
memory used=152.5MB, alloc=4.5MB, time=10.42
absolute error = 1.1388606597382e-18
relative error = 8.9000190875103024258826420000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9315
Order of pole = 5.626
x[1] = -0.921
y[1] (analytic) = -1.280032832739757148151669518471
y[1] (numeric) = -1.2800328327397571492925839310585
absolute error = 1.1409144125875e-18
relative error = 8.9131652205007053408750000000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9314
Order of pole = 5.626
x[1] = -0.9209
y[1] (analytic) = -1.2804498721042261100509450667507
y[1] (numeric) = -1.2804498721042261111939152400266
absolute error = 1.1429701732759e-18
relative error = 8.9263172122279259987217109999996e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9313
Order of pole = 5.626
x[1] = -0.9208
y[1] (analytic) = -1.2808670926522990124659484373054
y[1] (numeric) = -1.2808670926522990136109763812904
absolute error = 1.1450279439850e-18
relative error = 8.9394750677369961202432000000004e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9312
Order of pole = 5.626
x[1] = -0.9207
y[1] (analytic) = -1.2812844944823810269170182669357
y[1] (numeric) = -1.281284494482381028064105993834
absolute error = 1.1470877268983e-18
relative error = 8.9526387920717449233903689999996e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9311
Order of pole = 5.626
x[1] = -0.9206
y[1] (analytic) = -1.2817020776929414673493704434383
y[1] (numeric) = -1.2817020776929414684985199676409
absolute error = 1.1491495242026e-18
relative error = 8.9658083902857087888312159999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.931
Order of pole = 5.626
x[1] = -0.9205
y[1] (analytic) = -1.2821198423825138389159063494735
y[1] (numeric) = -1.2821198423825138400671196875604
absolute error = 1.1512133380869e-18
relative error = 8.9789838674335206266186250000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9309
Order of pole = 5.626
x[1] = -0.9204
y[1] (analytic) = -1.2825377886496958868024271108902
y[1] (numeric) = -1.2825377886496958879557062816331
absolute error = 1.1532791707429e-18
relative error = 8.9921652285747913086418559999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9308
Order of pole = 5.626
x[1] = -0.9203
y[1] (analytic) = -1.2829559165931496450952953246288
y[1] (numeric) = -1.282955916593149646250642348994
absolute error = 1.1553470243652e-18
relative error = 9.0053524787756451432554040000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9307
Order of pole = 5.626
x[1] = -0.9202
y[1] (analytic) = -1.2833742263116014856915857863965
y[1] (numeric) = -1.2833742263116014868490026875472
absolute error = 1.1574169011507e-18
relative error = 9.0185456231040187533448560000010e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9306
Order of pole = 5.626
x[1] = -0.9201
y[1] (analytic) = -1.2837927179038421672517667834388
y[1] (numeric) = -1.2837927179038421684112555867374
absolute error = 1.1594888032986e-18
relative error = 9.0317446666296427715665859999995e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9305
Order of pole = 5.626
x[1] = -0.92
y[1] (analytic) = -1.2842113914687268841949535629161
y[1] (numeric) = -1.2842113914687268853565162959278
absolute error = 1.1615627330117e-18
relative error = 9.0449496144341464959999999999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9304
Order of pole = 5.626
x[1] = -0.9199
y[1] (analytic) = -1.2846302471051753157367756316382
y[1] (numeric) = -1.2846302471051753169004143241329
absolute error = 1.1636386924947e-18
relative error = 9.0581604715977897353722530000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9303
Order of pole = 5.626
x[1] = -0.9198
y[1] (analytic) = -1.2850492849121716749698995881916
y[1] (numeric) = -1.2850492849121716761356162721465
absolute error = 1.1657166839549e-18
relative error = 9.0713772432048968993332079999997e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9302
Order of pole = 5.626
x[1] = -0.9197
y[1] (analytic) = -1.2854685049887647579872492338515
y[1] (numeric) = -1.2854685049887647591550459434542
absolute error = 1.1677967096027e-18
relative error = 9.0845999343477245899940709999997e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9301
Order of pole = 5.626
x[1] = -0.9196
y[1] (analytic) = -1.2858879074340679930479647540674
y[1] (numeric) = -1.2858879074340679942178435257184
absolute error = 1.1698787716510e-18
relative error = 9.0978285501217672001593600000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.93
Order of pole = 5.626
x[1] = -0.9195
y[1] (analytic) = -1.2863074923472594897861428077657
y[1] (numeric) = -1.2863074923472594909581056800807
absolute error = 1.1719628723150e-18
relative error = 9.1110630956241813431062500000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9299
Order of pole = 5.626
x[1] = -0.9194
y[1] (analytic) = -1.2867272598275820884623994072244
y[1] (numeric) = -1.2867272598275820896364484210372
absolute error = 1.1740490138128e-18
relative error = 9.1243035759584306675851519999997e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9297
Order of pole = 5.626
x[1] = -0.9193
y[1] (analytic) = -1.2871472099743434092582975168391
y[1] (numeric) = -1.2871472099743434104344347152044
absolute error = 1.1761371983653e-18
relative error = 9.1375499962334831776042209999996e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9296
Order of pole = 5.626
x[1] = -0.9192
y[1] (analytic) = -1.2875673428869159016136813447181
y[1] (numeric) = -1.2875673428869159027919087729141
absolute error = 1.1782274281960e-18
relative error = 9.1508023615622334361804800000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9295
Order of pole = 5.626
memory used=156.4MB, alloc=4.5MB, time=10.68
x[1] = -0.9191
y[1] (analytic) = -1.2879876586647368936069593467179
y[1] (numeric) = -1.2879876586647368947872790522486
absolute error = 1.1803197055307e-18
relative error = 9.1640606770591514260503969999996e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9294
Order of pole = 5.626
x[1] = -0.919
y[1] (analytic) = -1.288408157407308641378378008257
y[1] (numeric) = -1.2884081574073086425607920408555
absolute error = 1.1824140325985e-18
relative error = 9.1773249478480259606150000000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9293
Order of pole = 5.626
x[1] = -0.9189
y[1] (analytic) = -1.2888288392141983785963285150342
y[1] (numeric) = -1.2888288392141983797808389266646
absolute error = 1.1845104116304e-18
relative error = 9.1905951790510713535577759999997e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9292
Order of pole = 5.626
x[1] = -0.9188
y[1] (analytic) = -1.2892497041850383659667284696064
y[1] (numeric) = -1.2892497041850383671533373144673
absolute error = 1.1866088448609e-18
relative error = 9.2038713758013247370532480000004e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9291
Order of pole = 5.626
x[1] = -0.9187
y[1] (analytic) = -1.2896707524195259407855208566838
y[1] (numeric) = -1.2896707524195259419742301912102
absolute error = 1.1887093345264e-18
relative error = 9.2171535432302065484165919999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.929
Order of pole = 5.626
x[1] = -0.9186
y[1] (analytic) = -1.2900919840174235665343325059379
y[1] (numeric) = -1.2900919840174235677251443888045
absolute error = 1.1908118828666e-18
relative error = 9.2304416864783595036540960000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9289
Order of pole = 5.626
x[1] = -0.9185
y[1] (analytic) = -1.2905133990785588825193343471299
y[1] (numeric) = -1.2905133990785588837122508392533
absolute error = 1.1929164921234e-18
relative error = 9.2437358106870941867752499999992e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9288
Order of pole = 5.626
x[1] = -0.9184
y[1] (analytic) = -1.2909349977028247535533457984155
y[1] (numeric) = -1.2909349977028247547483689629574
absolute error = 1.1950231645419e-18
relative error = 9.2570359210061186451701760000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9287
Order of pole = 5.626
x[1] = -0.9183
y[1] (analytic) = -1.2913567799901793196812256748046
y[1] (numeric) = -1.291356779990179320878357577174
absolute error = 1.1971319023694e-18
relative error = 9.2703420225857652332529780000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9286
Order of pole = 5.626
x[1] = -0.9182
y[1] (analytic) = -1.2917787460406460459485920499125
y[1] (numeric) = -1.2917787460406460471478347577686
absolute error = 1.1992427078561e-18
relative error = 9.2836541205823928055586480000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9285
Order of pole = 5.626
x[1] = -0.9181
y[1] (analytic) = -1.2922008959543137722139135503715
y[1] (numeric) = -1.2922008959543137734152691336264
absolute error = 1.2013555832549e-18
relative error = 9.2969722201568134422428090000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9284
Order of pole = 5.626
x[1] = -0.918
y[1] (analytic) = -1.2926232298313367630040146085453
y[1] (numeric) = -1.2926232298313367642074851393667
absolute error = 1.2034705308214e-18
relative error = 9.3102963264742694712479999999996e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9283
Order of pole = 5.626
x[1] = -0.9179
y[1] (analytic) = -1.2930457477719347574130372455247
y[1] (numeric) = -1.2930457477719347586186247983386
absolute error = 1.2055875528139e-18
relative error = 9.3236264447044105100771209999992e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9282
Order of pole = 5.626
x[1] = -0.9178
y[1] (analytic) = -1.2934684498763930190449020027728
y[1] (numeric) = -1.2934684498763930202526086542664
absolute error = 1.2077066514936e-18
relative error = 9.3369625800228167573838720000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9281
Order of pole = 5.626
x[1] = -0.9177
y[1] (analytic) = -1.2938913362450623859993106872342
y[1] (numeric) = -1.2938913362450623872091385163581
absolute error = 1.2098278291239e-18
relative error = 9.3503047376055635101506869999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.928
Order of pole = 5.626
x[1] = -0.9176
y[1] (analytic) = -1.2943144069783593209013336412204
y[1] (numeric) = -1.2943144069783593221132847291918
absolute error = 1.2119510879714e-18
relative error = 9.3636529226369306790000640000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9279
Order of pole = 5.626
x[1] = -0.9175
y[1] (analytic) = -1.2947376621767659609746242949471
y[1] (numeric) = -1.2947376621767659621887007252522
absolute error = 1.2140764303051e-18
relative error = 9.3770071403031947345781249999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9278
Order of pole = 5.626
x[1] = -0.9174
y[1] (analytic) = -1.2951611019408301681583038062043
y[1] (numeric) = -1.2951611019408301693745076646012
absolute error = 1.2162038583969e-18
relative error = 9.3903673957964701596952559999990e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9277
Order of pole = 5.626
x[1] = -0.9173
y[1] (analytic) = -1.295584726371165579267558638314
y[1] (numeric) = -1.2955847263711655804858920128357
absolute error = 1.2183333745217e-18
relative error = 9.4037336943154559357405889999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9276
Order of pole = 5.626
x[1] = -0.9172
y[1] (analytic) = -1.296008535568451656197993974254
y[1] (numeric) = -1.2960085355684516574184589552106
absolute error = 1.2204649809566e-18
relative error = 9.4171060410592361371815680000004e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9275
Order of pole = 5.626
memory used=160.2MB, alloc=4.5MB, time=10.94
x[1] = -0.9171
y[1] (analytic) = -1.2964325296334337361737859116039
y[1] (numeric) = -1.2964325296334337373963845915853
absolute error = 1.2225986799814e-18
relative error = 9.4304844412311201784587539999994e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9274
Order of pole = 5.626
x[1] = -0.917
y[1] (analytic) = -1.2968567086669230820396754298098
y[1] (numeric) = -1.2968567086669230832644099036891
absolute error = 1.2247344738793e-18
relative error = 9.4438689000440176979089999999995e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9273
Order of pole = 5.626
x[1] = -0.9169
y[1] (analytic) = -1.2972810727697969325968471681575
y[1] (numeric) = -1.2972810727697969338237195330932
absolute error = 1.2268723649357e-18
relative error = 9.4572594227111568506908129999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9272
Order of pole = 5.626
x[1] = -0.9168
y[1] (analytic) = -1.2977056220429985529827360997886
y[1] (numeric) = -1.2977056220429985542117484552274
absolute error = 1.2290123554388e-18
relative error = 9.4706560144506914185052160000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9271
Order of pole = 5.626
x[1] = -0.9167
y[1] (analytic) = -1.2981303565875372850948052341045
y[1] (numeric) = -1.2981303565875372863259596817842
absolute error = 1.2311544476797e-18
relative error = 9.4840586804864471647770110000006e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.927
Order of pole = 5.626
x[1] = -0.9166
y[1] (analytic) = -1.2985552765044885980583375269631
y[1] (numeric) = -1.2985552765044885992916361709151
absolute error = 1.2332986439520e-18
relative error = 9.4974674260448162648179200000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9269
Order of pole = 5.626
x[1] = -0.9165
y[1] (analytic) = -1.2989803818949941387382852251914
y[1] (numeric) = -1.2989803818949941399737301717438
absolute error = 1.2354449465524e-18
relative error = 9.5108822563593561512985000000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9268
Order of pole = 5.626
x[1] = -0.9164
y[1] (analytic) = -1.2994056728602617822952199191132
y[1] (numeric) = -1.2994056728602617835328132768933
absolute error = 1.2375933577801e-18
relative error = 9.5243031766661443156461439999995e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9267
Order of pole = 5.626
x[1] = -0.9163
y[1] (analytic) = -1.2998311495015656827854266240217
y[1] (numeric) = -1.299831149501565684025170503959
absolute error = 1.2397438799373e-18
relative error = 9.5377301922076048386206310000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9266
Order of pole = 5.626
x[1] = -0.9162
y[1] (analytic) = -1.300256811920246323805185258817
y[1] (numeric) = -1.3002568119202463250470817741456
absolute error = 1.2418965153286e-18
relative error = 9.5511633082278675158890079999997e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9265
Order of pole = 5.626
x[1] = -0.9161
y[1] (analytic) = -1.3006826602177105691792829373699
y[1] (numeric) = -1.3006826602177105704233342036317
absolute error = 1.2440512662618e-18
relative error = 9.5646025299788996489156580000002e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9264
Order of pole = 5.626
x[1] = -0.916
y[1] (analytic) = -1.3011086944954317136938005355821
y[1] (numeric) = -1.3011086944954317149400086706291
absolute error = 1.2462081350470e-18
relative error = 9.5780478627135599891200000000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9263
Order of pole = 5.626
x[1] = -0.9159
y[1] (analytic) = -1.301534914854949533873217044564
y[1] (numeric) = -1.3015349148549495351215841685614
absolute error = 1.2483671239974e-18
relative error = 9.5914993116917277981863460000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9262
Order of pole = 5.626
x[1] = -0.9158
y[1] (analytic) = -1.3019613213978703388018752678737
y[1] (numeric) = -1.3019613213978703400524035033027
absolute error = 1.2505282354290e-18
relative error = 9.6049568821779710544184800000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9261
Order of pole = 5.626
x[1] = -0.9157
y[1] (analytic) = -1.3023879142258670209898524683309
y[1] (numeric) = -1.3023879142258670222425439399914
absolute error = 1.2526914716605e-18
relative error = 9.6184205794407548510882650000006e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.926
Order of pole = 5.626
x[1] = -0.9156
y[1] (analytic) = -1.3028146934406791072832796175497
y[1] (numeric) = -1.3028146934406791085381364525629
absolute error = 1.2548568350132e-18
relative error = 9.6318904087516513242309120000006e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9259
Order of pole = 5.626
x[1] = -0.9155
y[1] (analytic) = -1.3032416591441128098191529490228
y[1] (numeric) = -1.3032416591441128110761772768343
absolute error = 1.2570243278115e-18
relative error = 9.6453663753891550131206250000004e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9258
Order of pole = 5.626
x[1] = -0.9154
y[1] (analytic) = -1.3036688114380410770246815633341
y[1] (numeric) = -1.3036688114380410782838755157164
absolute error = 1.2591939523823e-18
relative error = 9.6588484846340529711212719999996e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9257
Order of pole = 5.626
x[1] = -0.9153
y[1] (analytic) = -1.304096150424403644661214881878
y[1] (numeric) = -1.3040961504244036459225805929338
absolute error = 1.2613657110558e-18
relative error = 9.6723367417755393529839660000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9256
Order of pole = 5.626
x[1] = -0.9152
y[1] (analytic) = -1.3045236762052070869127937933258
y[1] (numeric) = -1.3045236762052070881763333994902
absolute error = 1.2635396061644e-18
relative error = 9.6858311521027532542443520000004e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9255
Order of pole = 5.626
memory used=164.0MB, alloc=4.5MB, time=11.20
x[1] = -0.9151
y[1] (analytic) = -1.3049513888825248675193693849928
y[1] (numeric) = -1.3049513888825248687850850250363
absolute error = 1.2657156400435e-18
relative error = 9.6993317209108930868286849999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9254
Order of pole = 5.626
x[1] = -0.915
y[1] (analytic) = -1.3053792885584973909547331992383
y[1] (numeric) = -1.3053792885584973922226270142698
absolute error = 1.2678938150315e-18
relative error = 9.7128384535011904256249999999996e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9253
Order of pole = 5.626
x[1] = -0.9149
y[1] (analytic) = -1.305807375335332053649203003062
y[1] (numeric) = -1.3058073753353320549192771365316
absolute error = 1.2700741334696e-18
relative error = 9.7263513551793522574905040000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9252
Order of pole = 5.626
x[1] = -0.9148
y[1] (analytic) = -1.3062356493153032952571081071495
y[1] (numeric) = -1.3062356493153032965293647048511
absolute error = 1.2722565977016e-18
relative error = 9.7398704312540062651806720000005e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9251
Order of pole = 5.626
x[1] = -0.9147
y[1] (analytic) = -1.3066641106007526499691183187688
y[1] (numeric) = -1.3066641106007526512435595288427
absolute error = 1.2744412100739e-18
relative error = 9.7533956870366797591274969999992e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.925
Order of pole = 5.626
x[1] = -0.9146
y[1] (analytic) = -1.3070927592940887978694606611242
y[1] (numeric) = -1.3070927592940887991460886340609
absolute error = 1.2766279729367e-18
relative error = 9.7669271278509593075419120000005e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9249
Order of pole = 5.626
x[1] = -0.9145
y[1] (analytic) = -1.3075215954977876163380680400435
y[1] (numeric) = -1.3075215954977876176168849286853
absolute error = 1.2788168886418e-18
relative error = 9.7804647590156289242252500000004e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9248
Order of pole = 5.626
x[1] = -0.9144
y[1] (analytic) = -1.3079506193143922314977040871853
y[1] (numeric) = -1.3079506193143922327787120467298
absolute error = 1.2810079595445e-18
relative error = 9.7940085858591881482828799999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9247
Order of pole = 5.626
x[1] = -0.9143
y[1] (analytic) = -1.3083798308465130697061084573465
y[1] (numeric) = -1.3083798308465130709893096453495
absolute error = 1.2832011880030e-18
relative error = 9.8075586137152339405762099999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9246
Order of pole = 5.626
x[1] = -0.9142
y[1] (analytic) = -1.3088092301968279090932069058796
y[1] (numeric) = -1.3088092301968279103786034822576
absolute error = 1.2853965763780e-18
relative error = 9.8211148479193797399486399999992e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9245
Order of pole = 5.626
x[1] = -0.9141
y[1] (analytic) = -1.3092388174680819311434305207283
y[1] (numeric) = -1.3092388174680819324310246477618
absolute error = 1.2875941270335e-18
relative error = 9.8346772938153461883940349999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9244
Order of pole = 5.626
x[1] = -0.914
y[1] (analytic) = -1.3096685927630877723231885321479
y[1] (numeric) = -1.3096685927630877736129823744836
absolute error = 1.2897938423357e-18
relative error = 9.8482459567465323560079999999996e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9243
Order of pole = 5.626
x[1] = -0.9139
y[1] (analytic) = -1.3100985561847255757535391717851
y[1] (numeric) = -1.3100985561847255770455348964394
absolute error = 1.2919957246543e-18
relative error = 9.8618208420659227617461170000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9242
Order of pole = 5.626
x[1] = -0.9138
y[1] (analytic) = -1.3105287078359430429281031014706
y[1] (numeric) = -1.3105287078359430442223028778318
absolute error = 1.2941997763612e-18
relative error = 9.8754019551261355463720639999991e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9241
Order of pole = 5.626
x[1] = -0.9137
y[1] (analytic) = -1.3109590478197554854762639808006
y[1] (numeric) = -1.3109590478197554867726699806327
absolute error = 1.2964059998321e-18
relative error = 9.8889893012916114186213130000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.924
Order of pole = 5.626
x[1] = -0.9136
y[1] (analytic) = -1.3113895762392458769717007913829
y[1] (numeric) = -1.3113895762392458782703151888275
absolute error = 1.2986143974446e-18
relative error = 9.9025828859240893288693760000005e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9239
Order of pole = 5.626
x[1] = -0.9135
y[1] (analytic) = -1.3118202931975649047862965844589
y[1] (numeric) = -1.3118202931975649060871215560384
absolute error = 1.3008249715795e-18
relative error = 9.9161827143925042987481250000003e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9238
Order of pole = 5.626
x[1] = -0.9134
y[1] (analytic) = -1.3122511987979310219894683675314
y[1] (numeric) = -1.312251198797931023292506092152
absolute error = 1.3030377246206e-18
relative error = 9.9297887920714350005134240000005e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9237
Order of pole = 5.626
x[1] = -0.9133
y[1] (analytic) = -1.3126822931436304992929628945873
y[1] (numeric) = -1.3126822931436305005982155535417
absolute error = 1.3052526589544e-18
relative error = 9.9434011243387925640595280000000e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9236
Order of pole = 5.626
x[1] = -0.9132
y[1] (analytic) = -1.3131135763380174770411631735299
y[1] (numeric) = -1.3131135763380174783486329505003
absolute error = 1.3074697769704e-18
relative error = 9.9570197165780832019614719999992e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9235
Order of pole = 5.626
memory used=167.8MB, alloc=4.5MB, time=11.47
x[1] = -0.9131
y[1] (analytic) = -1.3135450484845140172469505535217
y[1] (numeric) = -1.3135450484845140185566396345829
absolute error = 1.3096890810612e-18
relative error = 9.9706445741791437539056919999998e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9234
Order of pole = 5.626
x[1] = -0.913
y[1] (analytic) = -1.3139767096866101556731673040805
y[1] (numeric) = -1.3139767096866101569850778777023
absolute error = 1.3119105736218e-18
relative error = 9.9842757025327873643459999999999e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9233
Order of pole = 5.626
x[1] = -0.9129
y[1] (analytic) = -1.3144085600478639539597246469713
y[1] (numeric) = -1.3144085600478639552738589040216
absolute error = 1.3141342570503e-18
relative error = 9.9979131070361108629355670000001e-17 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9232
Order of pole = 5.626
x[1] = -0.9128
y[1] (analytic) = -1.3148405996719015517964012512035
y[1] (numeric) = -1.3148405996719015531127613849513
absolute error = 1.3163601337478e-18
relative error = 1.0011556793091707274566656000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9231
Order of pole = 5.626
x[1] = -0.9127
y[1] (analytic) = -1.315272828662417219141377250759
y[1] (numeric) = -1.315272828662417220459965456877
absolute error = 1.3185882061180e-18
relative error = 1.0025206766104598956011940000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.923
Order of pole = 5.626
x[1] = -0.9126
y[1] (analytic) = -1.3157052471231734084855488940586
y[1] (numeric) = -1.3157052471231734098063673706267
absolute error = 1.3208184765681e-18
relative error = 1.0038863031489057383908056000001e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9229
Order of pole = 5.626
x[1] = -0.9125
y[1] (analytic) = -1.3161378551580008071626689836176
y[1] (numeric) = -1.3161378551580008084857199311249
absolute error = 1.3230509475073e-18
relative error = 1.0052525594657174298828125000001e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9228
Order of pole = 5.626
x[1] = -0.9124
y[1] (analytic) = -1.3165706528707983897053583138324
y[1] (numeric) = -1.3165706528707983910306439351807
absolute error = 1.3252856213483e-18
relative error = 1.0066194461030241826227392000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9227
Order of pole = 5.626
x[1] = -0.9123
y[1] (analytic) = -1.3170036403655334702470333644103
y[1] (numeric) = -1.3170036403655334715745558649172
absolute error = 1.3275225005069e-18
relative error = 1.0079869636035683449061823000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9226
Order of pole = 5.626
x[1] = -0.9122
y[1] (analytic) = -1.3174368177462417549697955565652
y[1] (numeric) = -1.3174368177462417562995571439665
absolute error = 1.3297615874013e-18
relative error = 1.0093551125101713849042024000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9225
Order of pole = 5.626
x[1] = -0.9121
y[1] (analytic) = -1.3178701851170273945983274287834
y[1] (numeric) = -1.3178701851170273959303303132363
absolute error = 1.3320028844529e-18
relative error = 1.0107238933663391255042769000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9224
Order of pole = 5.626
x[1] = -0.912
y[1] (analytic) = -1.3183037425820630369398411387039
y[1] (numeric) = -1.3183037425820630382740875327901
absolute error = 1.3342463940862e-18
relative error = 1.0120933067161830875136000000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9223
Order of pole = 5.626
x[1] = -0.9119
y[1] (analytic) = -1.3187374902455898794701247474554
y[1] (numeric) = -1.3187374902455898808066168661835
absolute error = 1.3364921187281e-18
relative error = 1.0134633531038870042769679000001e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9222
Order of pole = 5.626
x[1] = -0.9118
y[1] (analytic) = -1.3191714282119177219657317926493
y[1] (numeric) = -1.3191714282119177233044718534579
absolute error = 1.3387400608086e-18
relative error = 1.0148340330742356584284752000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9221
Order of pole = 5.626
x[1] = -0.9117
y[1] (analytic) = -1.3196055565854250191823597061499
y[1] (numeric) = -1.319605556585425020523349928911
absolute error = 1.3409902227611e-18
relative error = 1.0162053471728395520169543000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.922
Order of pole = 5.626
x[1] = -0.9116
y[1] (analytic) = -1.3200398754705589335794626827219
y[1] (numeric) = -1.3200398754705589349227052897433
absolute error = 1.3432426070214e-18
relative error = 1.0175772959453743113519744000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9219
Order of pole = 5.626
x[1] = -0.9115
y[1] (analytic) = -1.3204743849718353880911446556916
y[1] (numeric) = -1.3204743849718353894366418717201
absolute error = 1.3454972160285e-18
relative error = 1.0189498799381847364824375000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9218
Order of pole = 5.626
x[1] = -0.9114
y[1] (analytic) = -1.3209090851938391189433780858627
y[1] (numeric) = -1.3209090851938391202911321380871
absolute error = 1.3477540522244e-18
relative error = 1.0203230996981306017112736000001e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9217
Order of pole = 5.626
x[1] = -0.9113
y[1] (analytic) = -1.3213439762412237285175943200864
y[1] (numeric) = -1.3213439762412237298676074381398
absolute error = 1.3500131180534e-18
relative error = 1.0216969557720543548408997999999e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9216
Order of pole = 5.626
x[1] = -0.9112
y[1] (analytic) = -1.3217790582187117382606913261021
y[1] (numeric) = -1.3217790582187117396129657420661
absolute error = 1.3522744159640e-18
relative error = 1.0230714487082169107025920000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9215
Order of pole = 5.626
memory used=171.6MB, alloc=4.5MB, time=11.73
x[1] = -0.9111
y[1] (analytic) = -1.3222143312310946416415046605586
y[1] (numeric) = -1.3222143312310946429960426089651
absolute error = 1.3545379484065e-18
relative error = 1.0244465790544784867655015000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9214
Order of pole = 5.626
x[1] = -0.911
y[1] (analytic) = -1.3226497953832329571537875774513
y[1] (numeric) = -1.3226497953832329585105912952859
absolute error = 1.3568037178346e-18
relative error = 1.0258223473595072596725999999999e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9213
Order of pole = 5.626
x[1] = -0.9109
y[1] (analytic) = -1.3230854507800562813657462346297
y[1] (numeric) = -1.3230854507800562827248179613349
absolute error = 1.3590717267052e-18
relative error = 1.0271987541726251767008508000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9212
Order of pole = 5.626
x[1] = -0.9108
y[1] (analytic) = -1.3235212975265633420161760064847
y[1] (numeric) = -1.3235212975265633433775179839625
absolute error = 1.3613419774778e-18
relative error = 1.0285758000433518443127936000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9211
Order of pole = 5.626
x[1] = -0.9107
y[1] (analytic) = -1.3239573357278220511572449614516
y[1] (numeric) = -1.3239573357278220525208594340665
absolute error = 1.3636144726149e-18
relative error = 1.0299534855217046262076407000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.921
Order of pole = 5.626
x[1] = -0.9106
y[1] (analytic) = -1.3243935654889695583439706135537
y[1] (numeric) = -1.3243935654889695597098598281358
absolute error = 1.3658892145821e-18
relative error = 1.0313318111582716273556136000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9209
Order of pole = 5.626
x[1] = -0.9105
y[1] (analytic) = -1.3248299869152123038704361078548
y[1] (numeric) = -1.3248299869152123052386023137028
absolute error = 1.3681662058480e-18
relative error = 1.0327107775041335681909999999999e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9207
Order of pole = 5.626
x[1] = -0.9104
y[1] (analytic) = -1.325266600111826072052792050401
y[1] (numeric) = -1.3252666001118260734232374992853
absolute error = 1.3704454488843e-18
relative error = 1.0340903851109367232868352000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9206
Order of pole = 5.626
x[1] = -0.9103
y[1] (analytic) = -1.3257034051841560445590902439989
y[1] (numeric) = -1.3257034051841560459318171901641
absolute error = 1.3727269461652e-18
relative error = 1.0354706345304376914441004000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9205
Order of pole = 5.626
x[1] = -0.9102
y[1] (analytic) = -1.3261404022376168537859956420089
y[1] (numeric) = -1.3261404022376168551610063421774
absolute error = 1.3750107001685e-18
relative error = 1.0368515263153309784115480000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9204
Order of pole = 5.626
x[1] = -0.9101
y[1] (analytic) = -1.3265775913776926362824228832276
y[1] (numeric) = -1.3265775913776926376597195966021
absolute error = 1.3772967133745e-18
relative error = 1.0382330610184165383722245000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9203
Order of pole = 5.626
x[1] = -0.91
y[1] (analytic) = -1.3270149727099370862201438218827
y[1] (numeric) = -1.3270149727099370875997288101496
absolute error = 1.3795849882669e-18
relative error = 1.0396152391932760999000000000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9202
Order of pole = 5.626
x[1] = -0.9099
y[1] (analytic) = -1.3274525463399735089114125177843
y[1] (numeric) = -1.3274525463399735102932880451162
absolute error = 1.3818755273319e-18
relative error = 1.0409980613935921716165380999999e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9201
Order of pole = 5.626
x[1] = -0.9098
y[1] (analytic) = -1.3278903123734948743736542027482
y[1] (numeric) = -1.3278903123734948757578225358077
absolute error = 1.3841683330595e-18
relative error = 1.0423815281741251547629240000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.92
Order of pole = 5.626
x[1] = -0.9097
y[1] (analytic) = -1.3283282709162638709412647905538
y[1] (numeric) = -1.3283282709162638723277281984957
absolute error = 1.3864634079419e-18
relative error = 1.0437656400895053255593987000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9199
Order of pole = 5.626
x[1] = -0.9096
y[1] (analytic) = -1.3287664220741129589245675488902
y[1] (numeric) = -1.328766422074112960313328303365
absolute error = 1.3887607544748e-18
relative error = 1.0451503976952096788502528000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9198
Order of pole = 5.626
x[1] = -0.9095
y[1] (analytic) = -1.3292047659529444243159736030162
y[1] (numeric) = -1.3292047659529444257070339781728
absolute error = 1.3910603751566e-18
relative error = 1.0465358015469569453949250000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9197
Order of pole = 5.626
x[1] = -0.9094
y[1] (analytic) = -1.3296433026587304325433929921786
y[1] (numeric) = -1.3296433026587304339367552646677
absolute error = 1.3933622724891e-18
relative error = 1.0479218522012319248518344000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9196
Order of pole = 5.626
x[1] = -0.9093
y[1] (analytic) = -1.330082032297513082270943051224
y[1] (numeric) = -1.3300820322975130836666095002008
absolute error = 1.3956664489768e-18
relative error = 1.0493085502147562120983176000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9195
Order of pole = 5.626
x[1] = -0.9092
y[1] (analytic) = -1.3305209549754044592470009412851
y[1] (numeric) = -1.3305209549754044606449738484124
absolute error = 1.3979729071273e-18
relative error = 1.0506958961447867115573824000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9194
Order of pole = 5.626
memory used=175.4MB, alloc=4.5MB, time=11.99
x[1] = -0.9091
y[1] (analytic) = -1.3309600707985866901996472049373
y[1] (numeric) = -1.3309600707985866915999288543886
absolute error = 1.4002816494513e-18
relative error = 1.0520838905491130233786923000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9193
Order of pole = 5.626
x[1] = -0.909
y[1] (analytic) = -1.3313993798733119967795472727922
y[1] (numeric) = -1.3313993798733119981821399512549
absolute error = 1.4025926784627e-18
relative error = 1.0534725339861299407983000000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9192
Order of pole = 5.626
x[1] = -0.9089
y[1] (analytic) = -1.3318388823059027495503179001336
y[1] (numeric) = -1.3318388823059027509552238968117
absolute error = 1.4049059966781e-18
relative error = 1.0548618270144592960761789000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9191
Order of pole = 5.626
x[1] = -0.9088
y[1] (analytic) = -1.3322785782027515220264255638971
y[1] (numeric) = -1.3322785782027515234336471705145
absolute error = 1.4072216066174e-18
relative error = 1.0562517701933982053040128000001e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.919
Order of pole = 5.626
x[1] = -0.9087
y[1] (analytic) = -1.3327184676703211447586639020591
y[1] (numeric) = -1.3327184676703211461682034128625
absolute error = 1.4095395108034e-18
relative error = 1.0576423640826160772055102000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9189
Order of pole = 5.626
x[1] = -0.9086
y[1] (analytic) = -1.3331585508151447594672573293215
y[1] (numeric) = -1.3331585508151447608791170410836
absolute error = 1.4118597117621e-18
relative error = 1.0590336092423772876274776000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9188
Order of pole = 5.626
x[1] = -0.9085
y[1] (analytic) = -1.333598827743825873222638014869
y[1] (numeric) = -1.3335988277438258746368202268914
absolute error = 1.4141822120224e-18
relative error = 1.0604255062333134999364000000001e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9187
Order of pole = 5.626
x[1] = -0.9084
y[1] (analytic) = -1.3340392985630384126739434599213
y[1] (numeric) = -1.3340392985630384140904504740377
absolute error = 1.4165070141164e-18
relative error = 1.0618180556166461952435456000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9186
Order of pole = 5.626
x[1] = -0.9083
y[1] (analytic) = -1.334479963379526778325281964818
y[1] (numeric) = -1.3344799633795267797441160853971
absolute error = 1.4188341205791e-18
relative error = 1.0632112579539591457991517000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9185
Order of pole = 5.626
x[1] = -0.9082
y[1] (analytic) = -1.3349208223001058988598133274481
y[1] (numeric) = -1.3349208223001059002809768613971
absolute error = 1.4211635339490e-18
relative error = 1.0646051138076455334442320000001e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9184
Order of pole = 5.626
x[1] = -0.9081
y[1] (analytic) = -1.3353618754316612855116921669765
y[1] (numeric) = -1.3353618754316612869351874237435
absolute error = 1.4234952567670e-18
relative error = 1.0659996237400811162602470000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9183
Order of pole = 5.626
x[1] = -0.908
y[1] (analytic) = -1.335803122881149086485921319016
y[1] (numeric) = -1.3358031228811490879117506105936
absolute error = 1.4258292915776e-18
relative error = 1.0673947883145208410112000000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9182
Order of pole = 5.626
x[1] = -0.9079
y[1] (analytic) = -1.3362445647555961414261628006676
y[1] (numeric) = -1.3362445647555961428543284415957
absolute error = 1.4281656409281e-18
relative error = 1.0687906080944969445961959000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9181
Order of pole = 5.626
x[1] = -0.9078
y[1] (analytic) = -1.3366862011621000359305538961705
y[1] (numeric) = -1.3366862011621000373610582035399
absolute error = 1.4305043073694e-18
relative error = 1.0701870836444152349627088000001e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.918
Order of pole = 5.626
x[1] = -0.9077
y[1] (analytic) = -1.337128032207829156115575966303
y[1] (numeric) = -1.3371280322078291575484212597575
absolute error = 1.4328452934545e-18
relative error = 1.0715842155284300828867485000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9179
Order of pole = 5.626
x[1] = -0.9076
y[1] (analytic) = -1.3375700580000227432280236371227
y[1] (numeric) = -1.3375700580000227446632122388633
absolute error = 1.4351886017406e-18
relative error = 1.0729820043120130885328256000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9178
Order of pole = 5.626
x[1] = -0.9075
y[1] (analytic) = -1.3380122786459909483051220761636
y[1] (numeric) = -1.3380122786459909497426563109508
absolute error = 1.4375342347872e-18
relative error = 1.0743804505605291268500000000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9177
Order of pole = 5.626
x[1] = -0.9074
y[1] (analytic) = -1.3384546942531148868828401167779
y[1] (numeric) = -1.3384546942531148883227223119355
absolute error = 1.4398821951576e-18
relative error = 1.0757795548403554552185024000001e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9176
Order of pole = 5.626
x[1] = -0.9073
y[1] (analytic) = -1.3388973049288466937524470439688
y[1] (numeric) = -1.3388973049288466951946795293862
absolute error = 1.4422324854174e-18
relative error = 1.0771793177177579499848958000001e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9175
Order of pole = 5.626
x[1] = -0.9072
y[1] (analytic) = -1.3393401107807095777653609077597
y[1] (numeric) = -1.3393401107807095792099460158955
absolute error = 1.4445851081358e-18
relative error = 1.0785797397598601499254784000001e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9174
Order of pole = 5.626
memory used=179.2MB, alloc=4.5MB, time=12.25
x[1] = -0.9071
y[1] (analytic) = -1.3397831119162978766863362829285
y[1] (numeric) = -1.3397831119162978781332763488136
absolute error = 1.4469400658851e-18
relative error = 1.0799808215342668746077261000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9173
Order of pole = 5.626
x[1] = -0.907
y[1] (analytic) = -1.3402263084432771120950394467669
y[1] (numeric) = -1.3402263084432771135443368080078
absolute error = 1.4492973612409e-18
relative error = 1.0813825636092108856987000000001e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9172
Order of pole = 5.626
x[1] = -0.9069
y[1] (analytic) = -1.3406697004693840443360589994319
y[1] (numeric) = -1.3406697004693840457877159962132
absolute error = 1.4516569967813e-18
relative error = 1.0827849665529533584991817000001e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9171
Order of pole = 5.626
x[1] = -0.9068
y[1] (analytic) = -1.3411132881024267275174000044172
y[1] (numeric) = -1.3411132881024267289714189795052
absolute error = 1.4540189750880e-18
relative error = 1.0841880309346022734940160000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.917
Order of pole = 5.626
x[1] = -0.9067
y[1] (analytic) = -1.3415570714502845645575097797097
y[1] (numeric) = -1.3415570714502845660138930784556
absolute error = 1.4563832987459e-18
relative error = 1.0855917573238110779308217000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9169
Order of pole = 5.626
x[1] = -0.9066
y[1] (analytic) = -1.3420010506209083622808835232862
y[1] (numeric) = -1.3420010506209083637396334936291
absolute error = 1.4587499703429e-18
relative error = 1.0869961462906269730571784000001e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9168
Order of pole = 5.626
x[1] = -0.9065
y[1] (analytic) = -1.3424452257223203865622980097657
y[1] (numeric) = -1.3424452257223203880234170022355
absolute error = 1.4611189924698e-18
relative error = 1.0884011984054139904538250000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9167
Order of pole = 5.626
x[1] = -0.9064
y[1] (analytic) = -1.3428895968626144175197216482577
y[1] (numeric) = -1.3428895968626144189832120159787
absolute error = 1.4634903677210e-18
relative error = 1.0898069142393719486858240000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9166
Order of pole = 5.626
x[1] = -0.9063
y[1] (analytic) = -1.343334164149955804755949244736
y[1] (numeric) = -1.3433341641499558062218133434297
absolute error = 1.4658640986937e-18
relative error = 1.0912132943639377523367039000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9165
Order of pole = 5.626
x[1] = -0.9062
y[1] (analytic) = -1.3437789276925815226490098656179
y[1] (numeric) = -1.3437789276925815241172500536063
absolute error = 1.4682401879884e-18
relative error = 1.0926203393511552973585952000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9164
Order of pole = 5.626
x[1] = -0.9061
y[1] (analytic) = -1.3442238875988002256913962526486
y[1] (numeric) = -1.3442238875988002271620148908574
absolute error = 1.4706186382088e-18
relative error = 1.0940280497735982851812328000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9163
Order of pole = 5.626
x[1] = -0.906
y[1] (analytic) = -1.3446690439769923038781642926751
y[1] (numeric) = -1.3446690439769923053511637446365
absolute error = 1.4729994519614e-18
relative error = 1.0954364262040700837423999999999e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9162
Order of pole = 5.626
x[1] = -0.9059
y[1] (analytic) = -1.345114396935609938143951099436
y[1] (numeric) = -1.3451143969356099396193337312928
absolute error = 1.4753826318568e-18
relative error = 1.0968454692165680147793272000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9161
Order of pole = 5.626
x[1] = -0.9058
y[1] (analytic) = -1.3455599465831771558489603181158
y[1] (numeric) = -1.3455599465831771573267284986232
absolute error = 1.4777681805074e-18
relative error = 1.0982551793845702568870287999999e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.916
Order of pole = 5.626
x[1] = -0.9057
y[1] (analytic) = -1.3460056930282898863139633170772
y[1] (numeric) = -1.3460056930282898877941194176073
absolute error = 1.4801561005301e-18
relative error = 1.0996655572830408425331093000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9159
Order of pole = 5.626
x[1] = -0.9056
y[1] (analytic) = -1.3464516363796160164043649849437
y[1] (numeric) = -1.3464516363796160178869113794877
absolute error = 1.4825463945440e-18
relative error = 1.1010766034867172058071040000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9158
Order of pole = 5.626
x[1] = -0.9055
y[1] (analytic) = -1.3468977767458954461633829049975
y[1] (numeric) = -1.3468977767458954476483219701694
absolute error = 1.4849390651719e-18
relative error = 1.1024883185712224264073624999999e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9157
Order of pole = 5.626
x[1] = -0.9054
y[1] (analytic) = -1.3473441142359401444943887327445
y[1] (numeric) = -1.3473441142359401459817228477844
absolute error = 1.4873341150399e-18
relative error = 1.1039007031127650798496136000001e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9156
Order of pole = 5.626
x[1] = -0.9053
y[1] (analytic) = -1.3477906489586342048924606564299
y[1] (numeric) = -1.3477906489586342063821922032065
absolute error = 1.4897315467766e-18
relative error = 1.1053137576875428985336782000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9155
Order of pole = 5.626
x[1] = -0.9052
y[1] (analytic) = -1.3482373810229339012251958742932
y[1] (numeric) = -1.3482373810229339027173272373077
absolute error = 1.4921313630145e-18
relative error = 1.1067274828727793753588160000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9154
Order of pole = 5.626
memory used=183.1MB, alloc=4.5MB, time=12.52
x[1] = -0.9051
y[1] (analytic) = -1.3486843105378677435628320764271
y[1] (numeric) = -1.3486843105378677450573656428162
absolute error = 1.4945335663891e-18
relative error = 1.1081418792460529387062041000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9153
Order of pole = 5.626
x[1] = -0.905
y[1] (analytic) = -1.3491314376125365340577269732354
y[1] (numeric) = -1.3491314376125365355546651327743
absolute error = 1.4969381595389e-18
relative error = 1.1095569473852945531125000000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9152
Order of pole = 5.626
x[1] = -0.9049
y[1] (analytic) = -1.3495787623561134228732449666884
y[1] (numeric) = -1.3495787623561134243725901117942
absolute error = 1.4993451451058e-18
relative error = 1.1109726878690817108488641999999e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9151
Order of pole = 5.626
x[1] = -0.9048
y[1] (analytic) = -1.3500262848778439641621001148443
y[1] (numeric) = -1.3500262848778439656638546405794
absolute error = 1.5017545257351e-18
relative error = 1.1123891012766355455969792000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.915
Order of pole = 5.626
x[1] = -0.9047
y[1] (analytic) = -1.3504740052870461720942045944385
y[1] (numeric) = -1.3504740052870461735983708985132
absolute error = 1.5041663040747e-18
relative error = 1.1138061881872255639796781000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9149
Order of pole = 5.626
x[1] = -0.9046
y[1] (analytic) = -1.3509219236931105769340719207382
y[1] (numeric) = -1.3509219236931105784406524035146
absolute error = 1.5065804827764e-18
relative error = 1.1152239491811300520084704000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9148
Order of pole = 5.626
x[1] = -0.9045
y[1] (analytic) = -1.3513700402055002811678242383341
y[1] (numeric) = -1.3513700402055002826768213028289
absolute error = 1.5089970644948e-18
relative error = 1.1166423848388185932786500000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9147
Order of pole = 5.626
x[1] = -0.9044
y[1] (analytic) = -1.3518183549337510156798530510655
y[1] (numeric) = -1.3518183549337510171912691029533
absolute error = 1.5114160518878e-18
relative error = 1.1180614957413198006919552000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9146
Order of pole = 5.626
x[1] = -0.9043
y[1] (analytic) = -1.3522668679874711959791828138784
y[1] (numeric) = -1.3522668679874711974930202614952
absolute error = 1.5138374476168e-18
relative error = 1.1194812824703664643753175999999e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9145
Order of pole = 5.626
x[1] = -0.9042
y[1] (analytic) = -1.3527155794763419784755868640806
y[1] (numeric) = -1.3527155794763419799918481184269
absolute error = 1.5162612543463e-18
relative error = 1.1209017456080968553850744000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9144
Order of pole = 5.626
x[1] = -0.9041
y[1] (analytic) = -1.3531644895101173168055052241887
y[1] (numeric) = -1.3531644895101173183241926989325
absolute error = 1.5186874747438e-18
relative error = 1.1223228857369783230680398000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9143
Order of pole = 5.626
x[1] = -0.904
y[1] (analytic) = -1.3536135981986240182078138633596
y[1] (numeric) = -1.3536135981986240197289299748398
absolute error = 1.5211161114802e-18
relative error = 1.1237447034401004233728000000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9142
Order of pole = 5.626
x[1] = -0.9039
y[1] (analytic) = -1.3540629056517617999494950592671
y[1] (numeric) = -1.3540629056517618014730422264967
absolute error = 1.5235471672296e-18
relative error = 1.1251671993010243500758423999999e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9141
Order of pole = 5.626
x[1] = -0.9038
y[1] (analytic) = -1.3545124119795033458012585572119
y[1] (numeric) = -1.3545124119795033473272392018817
absolute error = 1.5259806446698e-18
relative error = 1.1265903739041494536836655999999e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.914
Order of pole = 5.626
x[1] = -0.9037
y[1] (analytic) = -1.3549621172918943625631632782566
y[1] (numeric) = -1.3549621172918943640915798247379
absolute error = 1.5284165464813e-18
relative error = 1.1280142278339719855091889000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9139
Order of pole = 5.626
x[1] = -0.9036
y[1] (analytic) = -1.3554120216990536366402893832373
y[1] (numeric) = -1.3554120216990536381711442585853
absolute error = 1.5308548753480e-18
relative error = 1.1294387616755995454522880000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9138
Order of pole = 5.626
x[1] = -0.9035
y[1] (analytic) = -1.3558621253111730906685105546417
y[1] (numeric) = -1.3558621253111730922018061885989
absolute error = 1.5332956339572e-18
relative error = 1.1308639760147482263049500000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9137
Order of pole = 5.626
x[1] = -0.9034
y[1] (analytic) = -1.3563124282385178401904164135393
y[1] (numeric) = -1.3563124282385178417261552385386
absolute error = 1.5357388249993e-18
relative error = 1.1322898714375185725240872000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9136
Order of pole = 5.626
x[1] = -0.9033
y[1] (analytic) = -1.3567629305914262503814350440189
y[1] (numeric) = -1.3567629305914262519196194951872
absolute error = 1.5381844511683e-18
relative error = 1.1337164485307616208600971000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9135
Order of pole = 5.626
x[1] = -0.9032
y[1] (analytic) = -1.3572136324803099928262056529216
y[1] (numeric) = -1.3572136324803099943668381680827
absolute error = 1.5406325151611e-18
relative error = 1.1351437078815600444917248000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9134
Order of pole = 5.626
memory used=186.9MB, alloc=4.5MB, time=12.79
x[1] = -0.9031
y[1] (analytic) = -1.357664534015654102345251448059
y[1] (numeric) = -1.3576645340156541038883344677371
absolute error = 1.5430830196781e-18
relative error = 1.1365716500776678541909771000001e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9133
Order of pole = 5.626
x[1] = -0.903
y[1] (analytic) = -1.3581156353080170338720028735771
y[1] (numeric) = -1.3581156353080170354175388409999
absolute error = 1.5455359674228e-18
relative error = 1.1380002757072129064556000000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9132
Order of pole = 5.626
x[1] = -0.9029
y[1] (analytic) = -1.3585669364680307193802213966615
y[1] (numeric) = -1.3585669364680307209282127577639
absolute error = 1.5479913611024e-18
relative error = 1.1394295853591360709232336000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9131
Order of pole = 5.626
x[1] = -0.9028
y[1] (analytic) = -1.3590184376064006248618740953859
y[1] (numeric) = -1.3590184376064006264123232988128
absolute error = 1.5504492034269e-18
relative error = 1.1408595796225257818465088000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.913
Order of pole = 5.626
x[1] = -0.9027
y[1] (analytic) = -1.3594701388339058073555093531751
y[1] (numeric) = -1.3594701388339058089084188502852
absolute error = 1.5529094971101e-18
relative error = 1.1422902590873515158163983000001e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9129
Order of pole = 5.626
x[1] = -0.9026
y[1] (analytic) = -1.3599220402613989720251840210993
y[1] (numeric) = -1.3599220402613989735805562659676
absolute error = 1.5553722448683e-18
relative error = 1.1437216243435045314168407999999e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9128
Order of pole = 5.626
x[1] = -0.9025
y[1] (analytic) = -1.3603741419998065292899924650152
y[1] (numeric) = -1.3603741419998065308478299144376
absolute error = 1.5578374494224e-18
relative error = 1.1451536759823398302250000000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9127
Order of pole = 5.626
x[1] = -0.9024
y[1] (analytic) = -1.3608264441601286520042479704597
y[1] (numeric) = -1.3608264441601286535645530839552
absolute error = 1.5603051134955e-18
relative error = 1.1465864145949082269777920000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9126
Order of pole = 5.626
x[1] = -0.9023
y[1] (analytic) = -1.3612789468534393326883670341298
y[1] (numeric) = -1.361278946853439334251142273944
absolute error = 1.5627752398142e-18
relative error = 1.1480198407729099728379713999999e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9125
Order of pole = 5.626
x[1] = -0.9022
y[1] (analytic) = -1.3617316501908864408105071268075
y[1] (numeric) = -1.3617316501908864423757549579166
absolute error = 1.5652478311091e-18
relative error = 1.1494539551090589879684968000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9124
Order of pole = 5.626
x[1] = -0.9021
y[1] (analytic) = -1.3621845542836917801190085686652
y[1] (numeric) = -1.3621845542836917816867314587785
absolute error = 1.5677228901133e-18
relative error = 1.1508887581959781343023713000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9123
Order of pole = 5.626
x[1] = -0.902
y[1] (analytic) = -1.3626376592431511460256912140318
y[1] (numeric) = -1.3626376592431511475958916335955
absolute error = 1.5702004195637e-18
relative error = 1.1523242506271515264696000000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9122
Order of pole = 5.626
x[1] = -0.9019
y[1] (analytic) = -1.3630909651806343830400566989254
y[1] (numeric) = -1.3630909651806343846127371211259
absolute error = 1.5726804222005e-18
relative error = 1.1537604329965544126467295000001e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9121
Order of pole = 5.626
x[1] = -0.9018
y[1] (analytic) = -1.3635444722075854422544470609391
y[1] (numeric) = -1.3635444722075854438296099617061
absolute error = 1.5751629007670e-18
relative error = 1.1551973058985038049891440000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.912
Order of pole = 5.626
x[1] = -0.9017
y[1] (analytic) = -1.3639981804355224388802105974215
y[1] (numeric) = -1.3639981804355224404578584554316
absolute error = 1.5776478580101e-18
relative error = 1.1566348699280226023139213000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9119
Order of pole = 5.626
x[1] = -0.9016
y[1] (analytic) = -1.3644520899760377098349258843212
y[1] (numeric) = -1.3644520899760377114150611810012
absolute error = 1.5801352966800e-18
relative error = 1.1580731256806166673612800000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9117
Order of pole = 5.626
x[1] = -0.9015
y[1] (analytic) = -1.3649062009407978713807349345526
y[1] (numeric) = -1.3649062009407978729633601540828
absolute error = 1.5826252195302e-18
relative error = 1.1595120737522721408794250000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9116
Order of pole = 5.626
x[1] = -0.9014
y[1] (analytic) = -1.3653605134415438768138365313037
y[1] (numeric) = -1.3653605134415438783989541606213
absolute error = 1.5851176293176e-18
relative error = 1.1609517147395259987866944000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9115
Order of pole = 5.626
x[1] = -0.9013
y[1] (analytic) = -1.3658150275900910742051908283385
y[1] (numeric) = -1.3658150275900910757928033571409
absolute error = 1.5876125288024e-18
relative error = 1.1623920492393900327300728000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9114
Order of pole = 5.626
x[1] = -0.9012
y[1] (analytic) = -1.3662697434983292641924863660426
y[1] (numeric) = -1.3662697434983292657825962867909
absolute error = 1.5901099207483e-18
relative error = 1.1638330778494945552434623999999e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9113
memory used=190.7MB, alloc=4.5MB, time=13.05
Order of pole = 5.626
x[1] = -0.9011
y[1] (analytic) = -1.366724661278222757823420708734
y[1] (numeric) = -1.3667246612782227594160305166564
absolute error = 1.5926098079224e-18
relative error = 1.1652748011680123120255144000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9112
Order of pole = 5.626
x[1] = -0.901
y[1] (analytic) = -1.3671797810418104344503459655956
y[1] (numeric) = -1.3671797810418104360454581586904
absolute error = 1.5951121930948e-18
relative error = 1.1667172197933631130548000000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9111
Order of pole = 5.626
x[1] = -0.9009
y[1] (analytic) = -1.3676351029012057996763305144937
y[1] (numeric) = -1.3676351029012058012739475935333
absolute error = 1.5976170790396e-18
relative error = 1.1681603343249427154250684000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.911
Order of pole = 5.626
x[1] = -0.9008
y[1] (analytic) = -1.368090626968597043352688304929
y[1] (numeric) = -1.3680906269685970449528127734627
absolute error = 1.6001244685337e-18
relative error = 1.1696041453622421669228544000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9109
Order of pole = 5.626
x[1] = -0.9007
y[1] (analytic) = -1.3685463533562470976280271734042
y[1] (numeric) = -1.368546353356247099230661537762
absolute error = 1.6026343643578e-18
relative error = 1.1710486535055764501441254000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9108
Order of pole = 5.626
x[1] = -0.9006
y[1] (analytic) = -1.3690022821764936950488676616179
y[1] (numeric) = -1.3690022821764936966540144309136
absolute error = 1.6051467692957e-18
relative error = 1.1724938593555698881882712000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9107
Order of pole = 5.626
x[1] = -0.9005
y[1] (analytic) = -1.3694584135417494267118838850742
y[1] (numeric) = -1.369458413541749428319545571209
absolute error = 1.6076616861348e-18
relative error = 1.1739397635135188337568499999999e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9106
Order of pole = 5.626
x[1] = -0.9004
y[1] (analytic) = -1.3699147475645018004678180569566
y[1] (numeric) = -1.3699147475645018020779971746225
absolute error = 1.6101791176659e-18
relative error = 1.1753863665812426499994175999999e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9105
Order of pole = 5.626
x[1] = -0.9003
y[1] (analytic) = -1.3703712843573132991771203294401
y[1] (numeric) = -1.3703712843573133007898193961233
absolute error = 1.6126990666832e-18
relative error = 1.1768336691610809316180464000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9104
Order of pole = 5.626
x[1] = -0.9002
y[1] (analytic) = -1.3708280240328214390173656720107
y[1] (numeric) = -1.3708280240328214406325872079948
absolute error = 1.6152215359841e-18
relative error = 1.1782816718557448311706728000000e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9103
Order of pole = 5.626
x[1] = -0.9001
y[1] (analytic) = -1.371284966703738827842499563828
y[1] (numeric) = -1.3712849667037388294602460921979
absolute error = 1.6177465283699e-18
relative error = 1.1797303752688249982156699000001e-16 %
h = 0.0001
TOP MAIN SOLVE Loop
Real estimate of pole used
Radius of convergence = 0.9102
Order of pole = 5.626
x[1] = -0.9
y[1] (analytic) = -1.3717421124828532235939643347051
y[1] (numeric) = -1.3717421124828532252142383813497
absolute error = 1.6202740466446e-18
relative error = 1.1811797800039134000000000000000e-16 %
h = 0.0001
Finished!
Maximum Iterations Reached before Solution Completed!
diff ( y , x , 1 ) = m1 * 3.0 / x / x / x / x ;
Iterations = 1000
Total Elapsed Time = 13 Seconds
Elapsed Time(since restart) = 13 Seconds
Expected Time Remaining = 26 Seconds
Optimized Time Remaining = 26 Seconds
Time to Timeout = 14 Minutes 46 Seconds
Percent Done = 33.37 %
> quit
memory used=192.9MB, alloc=4.5MB, time=13.20